Finite Group Databasebeta

← #9515828

Subgroups — #9515828

Order 512.

4649 conjugacy classes of subgroups.

The subgroup lattice has 2211 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58483C212yesmaximal, complemented
2#58006C212yesmaximal, complemented
3#57037C212yesmaximal, complemented
4#56774C212yesmaximal, complemented
5#56350C212yesmaximal, complemented
6#56314C212yesmaximal, complemented
7#55124C212yesmaximal, complemented
8#55084C212yesmaximal, complemented
9#54953C212yesmaximal, complemented
10#54191C212yesmaximal, complemented
11#54004C212yesmaximal, complemented
12#53841C212yesmaximal, complemented
13#53192C211yesmaximal, characteristic, complemented
14#52366C212yesmaximal, complemented
15#52007C212yesmaximal, complemented
16#51733C212yesmaximal, complemented
17#51681C212yesmaximal, complemented
18#51327C212yesmaximal, complemented
19#49742C212yesmaximal, complemented
20#47115C212yesmaximal, complemented
21#46357C212yesmaximal, complemented
22#45974C211yesmaximal, characteristic, complemented
23#45248C212yesmaximal, complemented
24#44649C212yesmaximal, complemented
25#43441C212yesmaximal, complemented
26#42806C212yesmaximal, complemented
27#42115C212yesmaximal, complemented
28#41360C212yesmaximal, complemented
29#41201C212yesmaximal, complemented
30#40805C212yesmaximal, complemented
31#39423C211yesmaximal, characteristic, complemented
32#38911C211yesmaximal, characteristic, complemented
33#37754C211yesmaximal, characteristic, complemented
34#37211C211yesmaximal, characteristic, complemented
35#36766C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic, complemented
37C2×D4×Q8C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yes—
40C2×#544C2211yescharacteristic
41C2×#543C2211yescharacteristic
42C2×#538C2211yescharacteristic
43C2×#536C2212yes—
44C2×#529C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2211yescharacteristic
47#2850C2211yescharacteristic
48#2850C2211yescharacteristic
49#2839C2212yescomplemented
50#2837C2212yescomplemented
51#2831C2212yes—
52#2831C2212yescomplemented
53#2830C2212yes—
54#2829C2212yes—
55#2829C2212yescomplemented
56#2828C2212yes—
57#2828C2212yes—
58#2828C2212yes—
59#2827C2212yescomplemented
60#2825C2212yes—
61#2824C2212yes—
62#2824C2212yes—
63#2824C2212yescomplemented
64#2819C2211yescharacteristic, complemented
65#2819C2211yescharacteristic, complemented
66#2817C2212yes—
67#2816C2212yes—
68#2816C2212yes—
69#2811C2211yescharacteristic, complemented
70#2808C2211yescharacteristic, complemented
71#2808C2211yescharacteristic, complemented
72#2808C2212yescomplemented
73#2806C2212yescomplemented
74#2806C2211yescharacteristic, complemented
75#2805C2211yescharacteristic, complemented
76#2803C2212yescomplemented
77#2801C2212yes—
78#2800C2212yescomplemented
79#2798C2212yescomplemented
80#2798C2212yescomplemented
81#2797C2212yes—
82#2797C2212yes—
83#2797C2212yes—
84#2795C2212yes—
85#2795C2212yes—
86#2793C2212yescomplemented
87#2788C2212yescomplemented
88#2786C2212yes—
89#2781C2212yescomplemented
90#2777C2212yes—
91#2777C2212yes—
92#2776C2212yescomplemented
93#2775C2212yescomplemented
94#2773C2212yes—
95#2767C2212yescomplemented
96#2766C2212yescomplemented
97#2763C2212yescomplemented
98#2759C2212yes—
99#2759C2212yes—
100#2759C2212yescomplemented
101#2759C2212yescomplemented
102#2757C2212yes—
103#2757C2212yes—
104#2756C2212yes—
105#2756C2212yescomplemented
106#2754C2212yes—
107#2752C2212yes—
108#2752C2212yes—
109#2750C2212yescomplemented
110#2746C2212yes—
111#2743C2212yes—
112#2741C2212yes—
113#2741C2212yes—
114#2739C2212yes—
115#2737C2212yes—
116#2737C2212yes—
117#2737C2212yescomplemented
118#2734C2211yescharacteristic, complemented
119#2733C2212yes—
120#2732C2211yescharacteristic, complemented
121#2732C2212yescomplemented
122#2731C2212yes—
123#2731C2212yes—
124#2730C2212yes—
125#2730C2212yes—
126#2730C2212yes—
127#2729C2212yescomplemented
128#2729C2212yescomplemented
129#2729C2212yescomplemented
130#2728C2212yes—
131#2728C2212yes—
132#2728C2212yes—
133#2728C2212yes—
134#2724C2211yescharacteristic, complemented
135#2723C2212yes—
136#2718C2212yes—
137#2716C2212yes—
138#2715C2212yes—
139#2714C2212yescomplemented
140#2713C2212yescomplemented
141#2713C2212yescomplemented
142#2712C2212yescomplemented
143#2711C2212yes—
144#2710C2212yes—
145#2710C2212yes—
146#2710C2212yes—
147#2710C2212yescomplemented
148#2709C2212yes—
149#2708C2212yescomplemented
150#2707C2212yes—
151#2706C2212yes—
152#2703C2212yes—
153#2702C2212yes—
154#2702C2212yescomplemented
155#2701C2212yes—
156#2701C2212yescomplemented
157#2700C2212yes—
158#2700C2212yes—
159#2700C2212yes—
160#2700C2212yes—
161#2700C2212yescomplemented
162#2698C2212yes—
163#2696C2212yes—
164#2696C2212yes—
165#2692C2212yes—
166#2692C2212yes—
167#2692C2212yes—
168#2691C2212yes—
169#2690C2212yes—
170#2690C2212yescomplemented
171#2690C2212yescomplemented
172#2689C2212yes—
173#2689C2212yescomplemented
174#2689C2212yescomplemented
175#2688C2212yes—
176#2687C2212yes—
177#2687C2212yes—
178#2687C2212yes—
179#2687C2212yes—
180#2686C2212yes—
181#2686C2212yes—
182#2686C2212yes—
183#2685C2212yes—
184#2683C2212yes—
185#2683C2212yescomplemented
186#2681C2212yes—
187#2681C2212yes—
188#2681C2212yes—
189#2681C2212yescomplemented
190#2677C2212yes—
191#2677C2212yes—
192#2677C2212yes—
193#2677C2212yescomplemented
194#2677C2212yescomplemented
195#2677C2212yescomplemented
196#2674C2212yes—
197#2674C2212yescomplemented
198#2674C2212yescomplemented
199#2673C2212yes—
200#2673C2212yes—
201#2672C2212yescomplemented
202#2670C2212yes—
203#2669C2212yes—
204#2668C2212yes—
205#2667C2212yes—
206#2665C2212yes—
207#2665C2212yescomplemented
208#2663C2212yes—
209#2661C2212yes—
210#2655C2212yescomplemented
211#2652C2212yescomplemented
212#2651C2212yes—
213#2650C2212yescomplemented
214#2650C2212yescomplemented
215#2649C2212yes—
216#2648C2212yes—
217#2648C2212yescomplemented
218#2643C2212yescomplemented
219#2640C2212yes—
220#2639C2211yescharacteristic
221#2638C2212yescomplemented
222#2638C2212yescomplemented
223#2635C2212yes—
224#2635C2212yes—
225#2634C2212yescomplemented
226#2633C2212yescomplemented
227#2626C2211yescharacteristic
228#2626C2211yescharacteristic
229#2625C2212yescomplemented
230#2620C2212yescomplemented
231#2618C2211yescharacteristic
232#2617C2211yescharacteristic
233#2617C2211yescharacteristic
234#2612C2212yescomplemented
235#2607C2212yescomplemented
236#2605C2212yescomplemented
237#2605C2212yescomplemented
238#2604C2212yes—
239#2603C2212yes—
240#2600C2212yescomplemented
241#2600C2212yescomplemented
242#2599C2212yes—
243#2598C2212yes—
244#2597C2212yescomplemented
245#2596C2212yes—
246#2596C2212yes—
247#2595C2212yescomplemented
248#2595C2212yescomplemented
249#2589C2212yes—
250#2587C2212yescomplemented
251#2582C2211yescharacteristic, complemented
252#2573C2212yescomplemented
253#2572C2212yes—
254#2572C2212yescomplemented
255#2568C2211yescharacteristic, complemented
256#2561C2212yes—
257#2559C2212yes—
258#2558C2212yes—
259#2557C2212yes—
260#2555C2212yes—
261#2550C2212yescomplemented
262#2549C2212yescomplemented
263#2545C2212yes—
264#2544C2212yes—
265#2540C2212yes—
266#2533C2212yescomplemented
267#2532C2212yescomplemented
268#2532C2212yescomplemented
269#2532C2212yescomplemented
270#2531C2212yescomplemented
271#2530C2212yescomplemented
272#2527C2212yescomplemented
273#2527C2212yescomplemented
274#2526C2212yes—
275#2521C2212yes—
276#2520C2212yescomplemented
277#2520C2212yescomplemented
278#2519C2212yes—
279#2511C2212yescomplemented
280#2510C2212yes—
281#2507C2212yescomplemented
282#2505C2212yescomplemented
283#2492C2212yes—
284#2492C2212yes—
285#2492C2212yescomplemented
286#2491C2212yes—
287#2488C2212yes—
288#2488C2212yes—
289#2488C2212yescomplemented
290#2477C2212yes—
291#2477C2212yes—
292#2477C2212yes—
293#2477C2212yes—
294#2477C2212yes—
295#2477C2212yescomplemented
296#2474C2212yes—
297#2474C2212yescomplemented
298#2474C2212yescomplemented
299#2472C2212yes—
300#2472C2212yes—
301#2472C2212yes—
302#2470C2212yescomplemented
303#2464C2212yes—
304#2463C2212yes—
305#2463C2212yes—
306#2463C2212yes—
307#2463C2212yescomplemented
308#2461C2212yes—
309#2461C2212yes—
310#2461C2212yes—
311#2461C2212yescomplemented
312#2460C2212yescomplemented
313#2460C2212yescomplemented
314#2459C2212yes—
315#2459C2212yes—
316#2458C2212yescomplemented
317#2457C2212yes—
318#2456C2212yes—
319#2456C2212yescomplemented
320#2452C2212yes—
321#2452C2212yes—
322#2452C2212yescomplemented
323#2450C2212yes—
324#2449C2212yes—
325#2449C2212yes—
326#2448C2212yescomplemented
327#2447C2212yescomplemented
328#2446C2212yescomplemented
329#2436C2212yes—
330#2436C2212yescomplemented
331#2434C2212yescomplemented
332#2434C2212yescomplemented
333#2432C2212yes—
334#2430C2212yes—
335#2429C2212yescomplemented
336#2428C2212yes—
337#2426C2212yes—
338#2423C2212yes—
339#2423C2212yescomplemented
340#2421C2212yes—
341#2420C2212yes—
342#2418C2212yes—
343#2418C2212yes—
344#2415C2212yes—
345#2415C2212yes—
346#2414C2212yescomplemented
347#2412C2212yes—
348#2411C2212yes—
349#2409C2212yes—
350#2409C2212yes—
351#2409C2212yes—
352#2409C2212yescomplemented
353#2407C2212yes—
354#2407C2212yes—
355#2404C2212yes—
356#2398C2212yes—
357#2392C2212yes—
358#2392C2212yescomplemented
359#2382C2211yescharacteristic, complemented
360#2381C2212yescomplemented
361#2374C2212yescomplemented
362#2373C2212yes—
363#2372C2212yes—
364#2365C2212yescomplemented
365#2364C2212yes—
366#2359C2212yes—
367#2358C2212yes—
368#2354C2211yescharacteristic, complemented
369#2337C2212yes—
370#2332C2212yes—
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2328C2212yes—
374#2325C2211yescharacteristic
375#2323C2212yescomplemented
376#2310C2212yescomplemented
377C4×C22⋊Q8C2211yescharacteristic
378C2×#388C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381C23×Q8C2312yes—
382#562—44no—
383D4×Q8—44no—
384D4×Q8—48no—
385#548—48no—
386#544—44no—
387#543—44no—
388#538—44no—
389#536—48no—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2311yescharacteristic
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×#127C2312yes—
399#529—44no—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#125C2311yescharacteristic
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2311yescharacteristic
409C2×#124C2311yescharacteristic
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2311yescharacteristic
459C2×#121C2311yescharacteristic
460C2×#121C2311yescharacteristic
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
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×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C22⋊C4C2312yes—
492C22×C22⋊C4C2311yescharacteristic
493C22×C22⋊C4C2311yescharacteristic
494C22×C22⋊C4C2311yescharacteristic
495C22×C42C2311yescharacteristic
496#401C2312yes—
497#401C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#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#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#396C2312yes—
608#396C2312yes—
609#396C2312yes—
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#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
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#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#391C2311yescharacteristic
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2312yes—
765#391C2312yes—
766#391C2311yescharacteristic
767#391C2311yescharacteristic
768#391C2311yescharacteristic
769#391C2311yescharacteristic
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2312yes—
775#391C2312yes—
776#391C2312yes—
777#391C2312yes—
778#391C2312yes—
779#391C2312yes—
780#390C2312yes—
781#390C2312yes—
782#390C2312yes—
783#390C2312yes—
784#390C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#390C2311yescharacteristic
789#390C2311yescharacteristic
790#390C2312yes—
791#390C2312yes—
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#390C2312yes—
798#390C2312yes—
799#390C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2311yescharacteristic
812#389C2311yescharacteristic
813#389C2312yes—
814#389C2311yescharacteristic
815#389C2311yescharacteristic
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2311yescharacteristic
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
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#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#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#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
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#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#384C2311yescharacteristic
1038#384C2312yes—
1039#383C2312yes—
1040#383C2312yes—
1041#383C2312yes—
1042#383C2312yes—
1043#383C2312yes—
1044#382C2311yescharacteristic
1045#382C2311yescharacteristic
1046#382C2312yes—
1047#382C2312yes—
1048#382C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#381C2312yes—
1055#381C2312yes—
1056#381C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2311yescharacteristic
1063#380C2312yes—
1064#380C2312yes—
1065#380C2311yescharacteristic
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#379C2312yes—
1074#379C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1085C4×C4⋊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⋊C4C2312yes—
1101#376C2312yes—
1102#376C2312yes—
1103#376C2312yes—
1104C2×#95C2311yescharacteristic
1105C2×#95C2311yescharacteristic
1106C2×#95C2312yes—
1107C25C2411yescharacteristic
1108C2×#41—44no—
1109C2×#41—44no—
1110C2×#41—82no—
1111C22×Q8—28no—
1112C22×Q8—44no—
1113C22×Q8—44no—
1114C22×Q8—44no—
1115C22×Q8—82no—
1116C22×Q8—82no—
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2412yes—
1121C22×Q8C2412yes—
1122C22×Q8C2412yes—
1123C22×Q8C2411yescharacteristic
1124C22×Q8C2411yescharacteristic
1125C22×Q8C2412yes—
1126C22×Q8C2411yescharacteristic
1127C22×Q8C2412yes—
1128C22×Q8C2411yescharacteristic
1129C22×D4C2411yescharacteristic
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2412yes—
1142C22×D4C2412yes—
1143C22×D4C2411yescharacteristic
1144C22×D4C2411yescharacteristic
1145C22×D4C2412yes—
1146C22×D4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2411yescharacteristic
1149C23×C4C2411yescharacteristic
1150C23×C4C2412yes—
1151C23×C4C2411yescharacteristic
1152C23×C4C2411yescharacteristic
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2411yescharacteristic
1158C23×C4C2411yescharacteristic
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C4⋊Q8—28no—
1165C4⋊Q8—28no—
1166C4⋊Q8—42no—
1167C4⋊Q8—44no—
1168C4⋊Q8—44no—
1169C4⋊Q8—44no—
1170C4⋊Q8—44no—
1171C4⋊Q8—82no—
1172#127—44no—
1173#126—44no—
1174#126—44no—
1175#126—44no—
1176#125—24no—
1177#125—44no—
1178#125—44no—
1179#124—28no—
1180#124—44no—
1181#124—42no—
1182#124—42no—
1183#124—42no—
1184#124—44no—
1185#124—44no—
1186#124—44no—
1187#124—44no—
1188#124—82no—
1189#124—82no—
1190#124—82no—
1191#123—28no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
1199#123—82no—
1200C22⋊Q8—24no—
1201C22⋊Q8—28no—
1202C22⋊Q8—24no—
1203C22⋊Q8—28no—
1204C22⋊Q8—42no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—42no—
1220C22⋊Q8—42no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—44no—
1226C22⋊Q8—44no—
1227C22⋊Q8—82no—
1228C22⋊Q8—82no—
1229#121—42no—
1230#121—44no—
1231#121—44no—
1232#121—44no—
1233#121—44no—
1234#121—44no—
1235#121—42no—
1236#121—44no—
1237#121—44no—
1238#121—42no—
1239#121—82no—
1240#120—44no—
1241#120—44no—
1242#120—82no—
1243C4×Q8—42no—
1244C4×Q8—42no—
1245C4×Q8—44no—
1246C4×Q8—44no—
1247C4×D4—24no—
1248C4×D4—44no—
1249C4×D4—44no—
1250C4×D4—44no—
1251C4×D4—44no—
1252C4×D4—44no—
1253C4×D4—44no—
1254C4×D4—44no—
1255C4×D4—44no—
1256C4×D4—44no—
1257C4×D4—82no—
1258C4×D4—82no—
1259#117—44no—
1260#117—44no—
1261#117—44no—
1262#117—82no—
1263C2×C4⋊C4—42no—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C22⋊C4—42no—
1344C2×C22⋊C4—44no—
1345C2×C22⋊C4—42no—
1346C2×C22⋊C4—42no—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×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⋊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×C42—42no—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2411yescharacteristic
1443C2×C42C2411yescharacteristic
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564C24—22no—
1565C24—41no—
1566C24—41no—
1567C24—41no—
1568C24—41no—
1569C24—41no—
1570C24—41no—
1571C24C2512yes—
1572C24C2512yes—
1573C24C2512yes—
1574C24C2512yes—
1575C24C2511yescharacteristic
1576#41—816no—
1577C2×Q8—24no—
1578C2×Q8—24no—
1579C2×Q8—24no—
1580C2×Q8—24no—
1581C2×Q8—22no—
1582C2×Q8—24no—
1583C2×Q8—24no—
1584C2×Q8—24no—
1585C2×Q8—41no—
1586C2×Q8—42no—
1587C2×Q8—41no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—42no—
1595C2×Q8—42no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—41no—
1601C2×Q8—41no—
1602C2×Q8—41no—
1603C2×Q8—41no—
1604C2×Q8—41no—
1605C2×Q8—42no—
1606C2×Q8—42no—
1607C2×Q8—41no—
1608C2×Q8—41no—
1609C2×Q8—41no—
1610C2×Q8—42no—
1611C2×Q8—41no—
1612C2×Q8—816no—
1613C2×Q8—816no—
1614C2×Q8H(5,𝔽2)14yes—
1615C2×D4—24no—
1616C2×D4—24no—
1617C2×D4—24no—
1618C2×D4—22no—
1619C2×D4—24no—
1620C2×D4—24no—
1621C2×D4—42no—
1622C2×D4—41no—
1623C2×D4—41no—
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—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C2×D4—42no—
1655C2×D4—41no—
1656C2×D4—41no—
1657C2×D4—41no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—41no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—41no—
1669C22×C4—22no—
1670C22×C4—22no—
1671C22×C4—24no—
1672C22×C4—24no—
1673C22×C4—24no—
1674C22×C4—22no—
1675C22×C4—22no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—24no—
1680C22×C4—41no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—41no—
1684C22×C4—42no—
1685C22×C4—41no—
1686C22×C4—41no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—41no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—41no—
1706C22×C4—42no—
1707C22×C4—41no—
1708C22×C4—41no—
1709C22×C4—42no—
1710C22×C4—41no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—41no—
1718C22×C4—41no—
1719C22×C4—42no—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2511yescharacteristic
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2511yescharacteristic
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2511yescharacteristic
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2511yescharacteristic
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2511yescharacteristic
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—22no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—22no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—41no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
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—41no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—42no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—41no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—41no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4H(5,𝔽2)14yes—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
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—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
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—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C42—22no—
1921C42—22no—
1922C42—24no—
1923C42—24no—
1924C42—24no—
1925C42—41no—
1926C42—41no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C23—21no—
1946C23—21no—
1947C23—21no—
1948C23—21no—
1949C23—21no—
1950C23—21no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—44no—
1980C23—82no—
1981C23—82no—
1982C23—161no—
1983C23—161no—
1984C23—161no—
1985C23—161no—
1986C23#58512yes—
1987C23C2611yescharacteristic
1988Q8—44no—
1989Q8—48no—
1990Q8—48no—
1991Q8—82no—
1992Q8—84no—
1993Q8—84no—
1994Q8—84no—
1995Q8—84no—
1996Q8—162no—
1997Q8—161no—
1998Q8—161no—
1999Q8—161no—
2000D4—44no—
2001D4—48no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—84no—
2006D4—84no—
2007D4—84no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—84no—
2012D4—162no—
2013D4—162no—
2014D4—162no—
2015D4—161no—
2016D4—161no—
2017D4—162no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—21no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—21no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—21no—
2104C2×C4—48no—
2105C2×C4—48no—
2106C2×C4—44no—
2107C2×C4—82no—
2108C2×C4—82no—
2109C2×C4—84no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—82no—
2114C2×C4—84no—
2115C2×C4—84no—
2116C2×C4—161no—
2117C2×C4—162no—
2118C2×C4—162no—
2119C2×C4—161no—
2120C2×C4—162no—
2121C2×C4C2×H(5,𝔽2)12yes—
2122C2×C4C2×H(5,𝔽2)14yes—
2123C2×C4C2×H(5,𝔽2)12yes—
2124C2×C4C2×H(5,𝔽2)14yes—
2125C22—22no—
2126C22—22no—
2127C22—22no—
2128C22—41no—
2129C22—41no—
2130C22—41no—
2131C22—41no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—164no—
2161C22C22×H(5,𝔽2)11yescharacteristic
2162C22C22×H(5,𝔽2)11yescharacteristic
2163C22C2×#58511yescharacteristic
2164C22H(7,𝔽2)11yescharacteristic
2165C222−1+611yescharacteristic
2166C222−1+611yescharacteristic
2167C222−1+611yescharacteristic
2168C4—22no—
2169C4—22no—
2170C4—24no—
2171C4—24no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—41no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—41no—
2188C4—42no—
2189C4—42no—
2190C4—42no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C4—41no—
2195C4—41no—
2196C4—42no—
2197C4—42no—
2198C2—42no—
2199C2—82no—
2200C2—82no—
2201C2—82no—
2202C2—82no—
2203C2#6287211yescharacteristic
2204C2#6288711yescharacteristic
2205C2#6289211yescharacteristic
2206C2#6289711yescharacteristic
2207C2#6291911yescharacteristic
2208C2#6297711yescharacteristic
2209C2#6304811yescharacteristic
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. #58483C2semidirect
2. #58006C2semidirect
3. #57037C2semidirect
4. #56774C2semidirect
5. #56350C2semidirect
6. #56314C2semidirect
7. #55124C2semidirect
8. #55084C2semidirect
9. #54953C2semidirect
10. #54191C2semidirect
11. #54004C2semidirect
12. #53841C2semidirect
13. #53192C2semidirect
14. #52366C2semidirect
15. #52007C2semidirect
16. #51733C2semidirect
17. #51681C2semidirect
18. #51327C2semidirect
19. #49742C2semidirect
20. #47115C2semidirect
21. #46357C2semidirect
22. #45974C2semidirect
23. #45248C2semidirect
24. #44649C2semidirect
25. #43441C2semidirect
26. #42806C2semidirect
27. #42115C2semidirect
28. #41360C2semidirect
29. #41201C2semidirect
30. #40805C2semidirect
31. #39423C2semidirect
32. #38911C2semidirect
33. #37754C2semidirect
34. #37211C2semidirect
35. #36766C2semidirect
36. C2×#562C22semidirect
37. C2×D4×Q8C22semidirect
38. C2×D4×Q8C22semidirect
49. #2839C22semidirect
50. #2837C22semidirect
52. #2831C22semidirect
55. #2829C22semidirect
59. #2827C22semidirect
63. #2824C22semidirect
64. #2819C22semidirect
65. #2819C22semidirect
69. #2811C22semidirect
70. #2808C22semidirect
71. #2808C22semidirect
72. #2808C22semidirect
73. #2806C22semidirect
74. #2806C22semidirect
75. #2805C22semidirect
76. #2803C22semidirect
78. #2800C22semidirect
79. #2798C22semidirect
80. #2798C22semidirect
86. #2793C22semidirect
87. #2788C22semidirect
89. #2781C22semidirect
92. #2776C22semidirect
93. #2775C22semidirect
95. #2767C22semidirect
96. #2766C22semidirect
97. #2763C22semidirect
100. #2759C22semidirect
101. #2759C22semidirect
105. #2756C22semidirect
109. #2750C22semidirect
117. #2737C22semidirect
118. #2734C22semidirect
120. #2732C22semidirect
121. #2732C22semidirect
127. #2729C22semidirect
128. #2729C22semidirect
129. #2729C22semidirect
134. #2724C22semidirect
139. #2714C22semidirect
140. #2713C22semidirect
141. #2713C22semidirect
142. #2712C22semidirect
147. #2710C22semidirect
149. #2708C22semidirect
154. #2702C22semidirect
156. #2701C22semidirect
161. #2700C22semidirect
170. #2690C22semidirect
171. #2690C22semidirect
173. #2689C22semidirect
174. #2689C22semidirect
185. #2683C22semidirect
189. #2681C22semidirect
193. #2677C22semidirect
194. #2677C22semidirect
195. #2677C22semidirect
197. #2674C22semidirect
198. #2674C22semidirect
201. #2672C22semidirect
207. #2665C22semidirect
210. #2655C22semidirect
211. #2652C22semidirect
213. #2650C22semidirect
214. #2650C22semidirect
217. #2648C22semidirect
218. #2643C22semidirect
221. #2638C22semidirect
222. #2638C22semidirect
225. #2634C22semidirect
226. #2633C22semidirect
229. #2625C22semidirect
230. #2620C22semidirect
234. #2612C22semidirect
235. #2607C22semidirect
236. #2605C22semidirect
237. #2605C22semidirect
240. #2600C22semidirect
241. #2600C22semidirect
244. #2597C22semidirect
247. #2595C22semidirect
248. #2595C22semidirect
250. #2587C22semidirect
251. #2582C22semidirect
252. #2573C22semidirect
254. #2572C22semidirect
255. #2568C22semidirect
261. #2550C22semidirect
262. #2549C22semidirect
266. #2533C22semidirect
267. #2532C22semidirect
268. #2532C22semidirect
269. #2532C22semidirect
270. #2531C22semidirect
271. #2530C22semidirect
272. #2527C22semidirect
273. #2527C22semidirect
276. #2520C22semidirect
277. #2520C22semidirect
279. #2511C22semidirect
281. #2507C22semidirect
282. #2505C22semidirect
285. #2492C22semidirect
289. #2488C22semidirect
295. #2477C22semidirect
297. #2474C22semidirect
298. #2474C22semidirect
302. #2470C22semidirect
307. #2463C22semidirect
311. #2461C22semidirect
312. #2460C22semidirect
313. #2460C22semidirect
316. #2458C22semidirect
319. #2456C22semidirect
322. #2452C22semidirect
326. #2448C22semidirect
327. #2447C22semidirect
328. #2446C22semidirect
330. #2436C22semidirect
331. #2434C22semidirect
332. #2434C22semidirect
335. #2429C22semidirect
339. #2423C22semidirect
346. #2414C22semidirect
352. #2409C22semidirect
358. #2392C22semidirect
359. #2382C22semidirect
360. #2381C22semidirect
361. #2374C22semidirect
364. #2365C22semidirect
368. #2354C22semidirect
375. #2323C22semidirect
376. #2310C22semidirect

Maximal subgroups

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

subgroupindex
#584832
#580062
#570372
#567742
#563502
#563142
#551242
#550842
#549532
#541912
#540042
#538412
#531922
#523662
#520072
#517332
#516812
#513272
#497422
#471152
#463572
#459742
#452482
#446492
#434412
#428062
#421152
#413602
#412012
#408052
#394232
#389112
#377542
#372112
#367662