Finite Group Databasebeta

← #9243770

Subgroups — #9243770

Order 512.

4405 conjugacy classes of subgroups.

The subgroup lattice has 2185 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59214C211yesmaximal, characteristic, complemented
2#58736C212yesmaximal, complemented
3#58515C212yesmaximal, complemented
4#57593C212yesmaximal, complemented
5#56901C212yesmaximal, complemented
6#56321C212yesmaximal, complemented
7#55726C212yesmaximal, complemented
8#53933C212yesmaximal, complemented
9#53718C212yesmaximal, complemented
10#53625C212yesmaximal, complemented
11#53558C212yesmaximal, complemented
12#53550C212yesmaximal, complemented
13#53515C212yesmaximal, complemented
14#52778C212yesmaximal, complemented
15#51912C212yesmaximal, complemented
16#51333C212yesmaximal, complemented
17#49617C212yesmaximal, complemented
18#49575C212yesmaximal, complemented
19#48857C212yesmaximal, complemented
20#48459C212yesmaximal, complemented
21#48101C212yesmaximal, complemented
22#47856C212yesmaximal, complemented
23#47798C212yesmaximal, complemented
24#47589C212yesmaximal, complemented
25#45800C211yesmaximal, characteristic, complemented
26#45298C212yesmaximal, complemented
27#42375C212yesmaximal, complemented
28#42060C212yesmaximal, complemented
29#41718C212yesmaximal, complemented
30#41241C212yesmaximal, complemented
31#39838C211yesmaximal, characteristic, complemented
32#39608C211yesmaximal, characteristic, complemented
33#39364C211yesmaximal, characteristic, complemented
34#37895C211yesmaximal, characteristic, complemented
35#37459C211yesmaximal, characteristic, complemented
36C2×#562C2212yes—
37C2×#544C2211yescharacteristic
38C2×#543C2211yescharacteristic
39C2×#542C2212yescomplemented
40#2857C2211yescharacteristic
41#2854C2211yescharacteristic
42#2839C2212yescomplemented
43#2839C2212yescomplemented
44#2838C2212yes—
45#2838C2212yes—
46#2838C2212yescomplemented
47#2838C2212yescomplemented
48#2837C2212yes—
49#2837C2212yes—
50#2836C2212yes—
51#2833C2212yescomplemented
52#2831C2212yescomplemented
53#2831C2212yescomplemented
54#2829C2212yescomplemented
55#2828C2212yes—
56#2827C2212yes—
57#2824C2212yes—
58#2820C2212yescomplemented
59#2813C2212yes—
60#2813C2212yes—
61#2809C2211yescharacteristic, complemented
62#2808C2211yescharacteristic, complemented
63#2807C2212yes—
64#2807C2212yescomplemented
65#2805C2211yescharacteristic, complemented
66#2803C2212yes—
67#2802C2212yescomplemented
68#2801C2212yes—
69#2800C2212yes—
70#2800C2212yes—
71#2800C2212yes—
72#2796C2212yes—
73#2796C2212yes—
74#2795C2212yes—
75#2795C2212yes—
76#2795C2212yescomplemented
77#2791C2212yescomplemented
78#2788C2212yescomplemented
79#2783C2212yes—
80#2783C2212yes—
81#2781C2212yes—
82#2780C2212yes—
83#2780C2212yes—
84#2779C2212yes—
85#2779C2212yes—
86#2778C2212yes—
87#2774C2212yescomplemented
88#2772C2212yes—
89#2763C2212yescomplemented
90#2763C2212yescomplemented
91#2760C2212yes—
92#2753C2212yes—
93#2753C2212yes—
94#2752C2212yes—
95#2751C2212yes—
96#2750C2212yescomplemented
97#2748C2212yes—
98#2746C2212yescomplemented
99#2745C2212yescomplemented
100#2744C2212yescomplemented
101#2743C2212yes—
102#2743C2212yes—
103#2743C2212yescomplemented
104#2743C2212yescomplemented
105#2742C2212yescomplemented
106#2742C2212yescomplemented
107#2741C2212yes—
108#2740C2212yes—
109#2739C2212yescomplemented
110#2739C2212yescomplemented
111#2734C2212yescomplemented
112#2733C2211yescharacteristic, complemented
113#2733C2211yescharacteristic, complemented
114#2732C2212yes—
115#2732C2212yes—
116#2732C2211yescharacteristic, complemented
117#2732C2212yescomplemented
118#2731C2212yescomplemented
119#2731C2212yescomplemented
120#2730C2212yes—
121#2729C2212yes—
122#2729C2212yes—
123#2729C2212yescomplemented
124#2727C2211yescharacteristic, complemented
125#2724C2211yescharacteristic, complemented
126#2721C2212yescomplemented
127#2720C2212yes—
128#2720C2212yes—
129#2720C2212yescomplemented
130#2720C2212yescomplemented
131#2718C2212yes—
132#2718C2212yescomplemented
133#2716C2212yescomplemented
134#2713C2212yescomplemented
135#2712C2212yes—
136#2711C2212yes—
137#2711C2212yescomplemented
138#2710C2212yescomplemented
139#2708C2212yes—
140#2706C2212yescomplemented
141#2704C2212yes—
142#2704C2212yescomplemented
143#2703C2212yes—
144#2702C2212yes—
145#2702C2212yes—
146#2702C2212yescomplemented
147#2701C2212yes—
148#2701C2212yes—
149#2701C2212yes—
150#2696C2212yes—
151#2696C2212yescomplemented
152#2695C2212yescomplemented
153#2695C2212yescomplemented
154#2694C2212yescomplemented
155#2693C2212yes—
156#2692C2212yes—
157#2692C2212yes—
158#2689C2212yescomplemented
159#2688C2212yes—
160#2687C2212yescomplemented
161#2686C2212yescomplemented
162#2686C2212yescomplemented
163#2685C2212yes—
164#2684C2212yes—
165#2683C2212yes—
166#2682C2212yes—
167#2682C2212yescomplemented
168#2681C2212yes—
169#2681C2212yes—
170#2681C2212yes—
171#2681C2212yes—
172#2680C2212yes—
173#2677C2212yes—
174#2677C2212yescomplemented
175#2676C2212yes—
176#2676C2212yes—
177#2676C2212yes—
178#2676C2212yescomplemented
179#2675C2212yes—
180#2674C2212yes—
181#2674C2212yes—
182#2674C2212yescomplemented
183#2674C2212yescomplemented
184#2674C2212yescomplemented
185#2672C2212yes—
186#2672C2212yes—
187#2672C2212yes—
188#2672C2212yes—
189#2671C2212yes—
190#2671C2212yes—
191#2668C2212yes—
192#2668C2212yes—
193#2667C2212yescomplemented
194#2664C2212yescomplemented
195#2663C2212yes—
196#2663C2212yes—
197#2663C2212yescomplemented
198#2662C2212yes—
199#2662C2212yes—
200#2661C2212yes—
201#2661C2212yes—
202#2656C2211yescharacteristic
203#2655C2212yescomplemented
204#2653C2212yes—
205#2652C2212yes—
206#2651C2212yes—
207#2651C2212yescomplemented
208#2649C2212yes—
209#2646C2211yescharacteristic
210#2646C2211yescharacteristic
211#2639C2212yes—
212#2637C2212yes—
213#2635C2212yes—
214#2635C2212yes—
215#2630C2212yes—
216#2628C2212yes—
217#2627C2211yescharacteristic
218#2627C2212yescomplemented
219#2626C2211yescharacteristic
220#2620C2212yes—
221#2618C2212yescomplemented
222#2617C2211yescharacteristic
223#2617C2211yescharacteristic
224#2617C2211yescharacteristic
225#2611C2212yescomplemented
226#2610C2212yes—
227#2609C2212yes—
228#2609C2212yes—
229#2602C2212yescomplemented
230#2600C2212yes—
231#2600C2212yescomplemented
232#2597C2212yes—
233#2596C2212yes—
234#2596C2212yescomplemented
235#2596C2212yescomplemented
236#2595C2212yes—
237#2594C2212yescomplemented
238#2594C2212yescomplemented
239#2594C2212yescomplemented
240#2594C2212yescomplemented
241#2593C2212yes—
242#2590C2212yescomplemented
243#2589C2212yes—
244#2587C2212yescomplemented
245#2587C2212yescomplemented
246#2587C2212yescomplemented
247#2584C2212yescomplemented
248#2576C2212yes—
249#2575C2212yescomplemented
250#2566C2212yescomplemented
251#2564C2212yes—
252#2563C2212yes—
253#2563C2211yescharacteristic, complemented
254#2559C2212yes—
255#2559C2212yes—
256#2556C2212yes—
257#2556C2212yes—
258#2556C2212yes—
259#2555C2212yes—
260#2555C2212yescomplemented
261#2554C2212yes—
262#2554C2212yescomplemented
263#2552C2211yescharacteristic, complemented
264#2551C2211yescharacteristic, complemented
265#2549C2212yes—
266#2549C2212yescomplemented
267#2545C2212yes—
268#2545C2212yescomplemented
269#2542C2212yes—
270#2540C2212yes—
271#2539C2212yes—
272#2538C2212yes—
273#2538C2211yescharacteristic, complemented
274#2528C2212yescomplemented
275#2526C2212yes—
276#2516C2212yes—
277#2516C2212yes—
278#2516C2212yescomplemented
279#2511C2212yescomplemented
280#2509C2212yescomplemented
281#2509C2212yescomplemented
282#2508C2212yescomplemented
283#2507C2212yescomplemented
284#2505C2212yescomplemented
285#2500C2212yes—
286#2497C2212yescomplemented
287#2497C2212yescomplemented
288#2497C2212yescomplemented
289#2492C2212yes—
290#2491C2212yes—
291#2488C2212yescomplemented
292#2487C2212yes—
293#2487C2212yes—
294#2484C2212yescomplemented
295#2481C2212yes—
296#2481C2212yes—
297#2479C2212yes—
298#2479C2212yes—
299#2478C2212yes—
300#2476C2212yes—
301#2475C2212yescomplemented
302#2474C2212yescomplemented
303#2472C2212yes—
304#2471C2212yes—
305#2470C2212yes—
306#2468C2212yes—
307#2465C2212yes—
308#2464C2212yes—
309#2464C2212yes—
310#2464C2212yescomplemented
311#2463C2212yes—
312#2462C2212yescomplemented
313#2461C2212yes—
314#2461C2212yes—
315#2461C2212yescomplemented
316#2460C2212yes—
317#2460C2212yescomplemented
318#2459C2212yescomplemented
319#2458C2212yes—
320#2457C2212yes—
321#2456C2212yes—
322#2455C2212yescomplemented
323#2452C2212yes—
324#2452C2212yescomplemented
325#2448C2212yescomplemented
326#2444C2212yes—
327#2443C2212yes—
328#2443C2212yes—
329#2441C2212yes—
330#2440C2212yescomplemented
331#2438C2212yes—
332#2437C2212yes—
333#2429C2212yes—
334#2429C2212yescomplemented
335#2429C2212yescomplemented
336#2427C2212yes—
337#2426C2212yes—
338#2426C2212yes—
339#2425C2212yes—
340#2425C2212yescomplemented
341#2424C2212yes—
342#2424C2212yes—
343#2424C2212yes—
344#2418C2212yes—
345#2416C2212yes—
346#2416C2212yes—
347#2414C2212yes—
348#2414C2212yescomplemented
349#2413C2212yescomplemented
350#2411C2212yes—
351#2411C2212yes—
352#2401C2212yes—
353#2396C2212yescomplemented
354#2377C2212yes—
355#2376C2212yes—
356#2369C2211yescharacteristic, complemented
357#2367C2212yescomplemented
358#2363C2212yes—
359#2362C2212yes—
360#2362C2212yes—
361#2360C2212yescomplemented
362#2359C2212yes—
363Q8×C4⋊C4C2211yescharacteristic, complemented
364D4×C4⋊C4C2211yescharacteristic, complemented
365D4×C4⋊C4C2211yescharacteristic, complemented
366#2342C2212yes—
367#2335C2212yes—
368#2335C2212yescomplemented
369#2327C2212yescomplemented
370#2325C2211yescharacteristic
371#2324C2212yes—
372#2319C2212yescomplemented
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#562—48no—
380#544—44no—
381#543—44no—
382#542—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458C2×#120C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C22⋊C4C2311yescharacteristic
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2311yescharacteristic
485C22×C42C2311yescharacteristic
486#401C2312yes—
487#401C2312yes—
488#401C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
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#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
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#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
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#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
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#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2311yescharacteristic
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2311yescharacteristic
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2311yescharacteristic
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2311yescharacteristic
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#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#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#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#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#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#384C2312yes—
1024#384C2311yescharacteristic
1025#384C2311yescharacteristic
1026#384C2312yes—
1027#384C2312yes—
1028#384C2311yescharacteristic
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2311yescharacteristic
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#379C2312yes—
1065#379C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C25C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×D4C2411yescharacteristic
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C4⋊Q8—28no—
1146C4⋊Q8—42no—
1147C4⋊Q8—44no—
1148C4⋊Q8—82no—
1149C4⋊Q8—82no—
1150C4⋊Q8—82no—
1151#126—44no—
1152#126—44no—
1153#126—82no—
1154#126—82no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—82no—
1159#124—28no—
1160#124—44no—
1161#124—44no—
1162#124—44no—
1163#124—82no—
1164#124—82no—
1165#124—82no—
1166#124—82no—
1167#123—28no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—82no—
1176#123—82no—
1177#123—82no—
1178#123—82no—
1179#123—82no—
1180C22⋊Q8—28no—
1181C22⋊Q8—24no—
1182C22⋊Q8—28no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—42no—
1194C22⋊Q8—42no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200#121—24no—
1201#121—24no—
1202#121—44no—
1203#121—42no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—82no—
1210#121—82no—
1211#121—82no—
1212#121—82no—
1213#121—82no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#120—82no—
1219#120—82no—
1220#120—82no—
1221C4×Q8—42no—
1222C4×Q8—44no—
1223C4×Q8—82no—
1224C4×Q8—82no—
1225C4×D4—42no—
1226C4×D4—42no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—82no—
1230C4×D4—82no—
1231C4×D4—82no—
1232C4×D4—82no—
1233C4×D4—82no—
1234C4×D4—82no—
1235#117—44no—
1236#117—44no—
1237#117—82no—
1238#117—82no—
1239#117—82no—
1240C2×C4⋊C4—42no—
1241C2×C4⋊C4—82no—
1242C2×C4⋊C4—82no—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C22⋊C4—24no—
1336C2×C22⋊C4—42no—
1337C2×C22⋊C4—44no—
1338C2×C22⋊C4—42no—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
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×C42—42no—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
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×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#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—
1548C24—22no—
1549C24—41no—
1550C24—41no—
1551C24—41no—
1552C24—41no—
1553C24—41no—
1554C24—41no—
1555C24C2512yes—
1556C24C2512yes—
1557C24C2512yes—
1558C24C2512yes—
1559C24C2511yescharacteristic
1560C2×Q8—24no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—41no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—41no—
1576C2×Q8—42no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8H(5,𝔽2)14yes—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—22no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—41no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—41no—
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—41no—
1631C2×D4—41no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C22×C4—22no—
1636C22×C4—22no—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—22no—
1640C22×C4—24no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—41no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C42−1+414yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2511yescharacteristic
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—22no—
1727C4⋊C4—24no—
1728C4⋊C4—22no—
1729C4⋊C4—22no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—41no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—41no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—41no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
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—41no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
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—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—42no—
1806C4⋊C4—41no—
1807C4⋊C4—41no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
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—
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—
1899C42—24no—
1900C42—24no—
1901C42—22no—
1902C42—22no—
1903C42—41no—
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—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
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—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—44no—
1959C23—82no—
1960C23—82no—
1961C23—161no—
1962C23—161no—
1963C23—161no—
1964C23—161no—
1965C23C2×2−1+412yes—
1966C23C2611yescharacteristic
1967Q8—44no—
1968Q8—84no—
1969Q8—84no—
1970Q8—162no—
1971Q8—162no—
1972Q8—161no—
1973Q8—161no—
1974D4—44no—
1975D4—44no—
1976D4—84no—
1977D4—84no—
1978D4—84no—
1979D4—84no—
1980D4—84no—
1981D4—84no—
1982D4—162no—
1983D4—162no—
1984D4—162no—
1985D4—162no—
1986D4—161no—
1987D4—162no—
1988D4—162no—
1989D4—162no—
1990D4—162no—
1991D4—162no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—22no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—21no—
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—21no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—21no—
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—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—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—21no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—44no—
2078C2×C4—44no—
2079C2×C4—84no—
2080C2×C4—82no—
2081C2×C4—84no—
2082C2×C4—82no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—162no—
2087C2×C4—161no—
2088C2×C4—162no—
2089C2×C4—162no—
2090C2×C4—162no—
2091C2×C4—162no—
2092C2×C4—161no—
2093C2×C4—162no—
2094C2×C4C2×H(5,𝔽2)14yes—
2095C2×C4C2×H(5,𝔽2)12yes—
2096C2×C4C2×2−1+412yes—
2097C2×C4C2×2−1+412yes—
2098C2×C4#58512yes—
2099C22—22no—
2100C22—22no—
2101C22—22no—
2102C22—41no—
2103C22—41no—
2104C22—41no—
2105C22—41no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—164no—
2135C22C22×H(5,𝔽2)11yescharacteristic
2136C22C22×2−1+411yescharacteristic
2137C22C2×#58511yescharacteristic
2138C22H(7,𝔽2)11yescharacteristic
2139C22H(7,𝔽2)11yescharacteristic
2140C22H(7,𝔽2)11yescharacteristic
2141C222−1+611yescharacteristic
2142C4—22no—
2143C4—22no—
2144C4—22no—
2145C4—22no—
2146C4—24no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—41no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—41no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C2—42no—
2173C2—82no—
2174C2—82no—
2175C2—82no—
2176C2—82no—
2177C2#6287211yescharacteristic
2178C2#6288111yescharacteristic
2179C2#6290211yescharacteristic
2180C2#6290511yescharacteristic
2181C2#6291311yescharacteristic
2182C2#6297411yescharacteristic
2183C2#6306611yescharacteristic
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. #59214C2semidirect
2. #58736C2semidirect
3. #58515C2semidirect
4. #57593C2semidirect
5. #56901C2semidirect
6. #56321C2semidirect
7. #55726C2semidirect
8. #53933C2semidirect
9. #53718C2semidirect
10. #53625C2semidirect
11. #53558C2semidirect
12. #53550C2semidirect
13. #53515C2semidirect
14. #52778C2semidirect
15. #51912C2semidirect
16. #51333C2semidirect
17. #49617C2semidirect
18. #49575C2semidirect
19. #48857C2semidirect
20. #48459C2semidirect
21. #48101C2semidirect
22. #47856C2semidirect
23. #47798C2semidirect
24. #47589C2semidirect
25. #45800C2semidirect
26. #45298C2semidirect
27. #42375C2semidirect
28. #42060C2semidirect
29. #41718C2semidirect
30. #41241C2semidirect
31. #39838C2semidirect
32. #39608C2semidirect
33. #39364C2semidirect
34. #37895C2semidirect
35. #37459C2semidirect
39. C2×#542C22semidirect
42. #2839C22semidirect
43. #2839C22semidirect
46. #2838C22semidirect
47. #2838C22semidirect
51. #2833C22semidirect
52. #2831C22semidirect
53. #2831C22semidirect
54. #2829C22semidirect
58. #2820C22semidirect
61. #2809C22semidirect
62. #2808C22semidirect
64. #2807C22semidirect
65. #2805C22semidirect
67. #2802C22semidirect
76. #2795C22semidirect
77. #2791C22semidirect
78. #2788C22semidirect
87. #2774C22semidirect
89. #2763C22semidirect
90. #2763C22semidirect
96. #2750C22semidirect
98. #2746C22semidirect
99. #2745C22semidirect
100. #2744C22semidirect
103. #2743C22semidirect
104. #2743C22semidirect
105. #2742C22semidirect
106. #2742C22semidirect
109. #2739C22semidirect
110. #2739C22semidirect
111. #2734C22semidirect
112. #2733C22semidirect
113. #2733C22semidirect
116. #2732C22semidirect
117. #2732C22semidirect
118. #2731C22semidirect
119. #2731C22semidirect
123. #2729C22semidirect
124. #2727C22semidirect
125. #2724C22semidirect
126. #2721C22semidirect
129. #2720C22semidirect
130. #2720C22semidirect
132. #2718C22semidirect
133. #2716C22semidirect
134. #2713C22semidirect
137. #2711C22semidirect
138. #2710C22semidirect
140. #2706C22semidirect
142. #2704C22semidirect
146. #2702C22semidirect
151. #2696C22semidirect
152. #2695C22semidirect
153. #2695C22semidirect
154. #2694C22semidirect
158. #2689C22semidirect
160. #2687C22semidirect
161. #2686C22semidirect
162. #2686C22semidirect
167. #2682C22semidirect
174. #2677C22semidirect
178. #2676C22semidirect
182. #2674C22semidirect
183. #2674C22semidirect
184. #2674C22semidirect
193. #2667C22semidirect
194. #2664C22semidirect
197. #2663C22semidirect
203. #2655C22semidirect
207. #2651C22semidirect
218. #2627C22semidirect
221. #2618C22semidirect
225. #2611C22semidirect
229. #2602C22semidirect
231. #2600C22semidirect
234. #2596C22semidirect
235. #2596C22semidirect
237. #2594C22semidirect
238. #2594C22semidirect
239. #2594C22semidirect
240. #2594C22semidirect
242. #2590C22semidirect
244. #2587C22semidirect
245. #2587C22semidirect
246. #2587C22semidirect
247. #2584C22semidirect
249. #2575C22semidirect
250. #2566C22semidirect
253. #2563C22semidirect
260. #2555C22semidirect
262. #2554C22semidirect
263. #2552C22semidirect
264. #2551C22semidirect
266. #2549C22semidirect
268. #2545C22semidirect
273. #2538C22semidirect
274. #2528C22semidirect
278. #2516C22semidirect
279. #2511C22semidirect
280. #2509C22semidirect
281. #2509C22semidirect
282. #2508C22semidirect
283. #2507C22semidirect
284. #2505C22semidirect
286. #2497C22semidirect
287. #2497C22semidirect
288. #2497C22semidirect
291. #2488C22semidirect
294. #2484C22semidirect
301. #2475C22semidirect
302. #2474C22semidirect
310. #2464C22semidirect
312. #2462C22semidirect
315. #2461C22semidirect
317. #2460C22semidirect
318. #2459C22semidirect
322. #2455C22semidirect
324. #2452C22semidirect
325. #2448C22semidirect
330. #2440C22semidirect
334. #2429C22semidirect
335. #2429C22semidirect
340. #2425C22semidirect
348. #2414C22semidirect
349. #2413C22semidirect
353. #2396C22semidirect
356. #2369C22semidirect
357. #2367C22semidirect
361. #2360C22semidirect
363. Q8×C4⋊C4C22semidirect
364. D4×C4⋊C4C22semidirect
365. D4×C4⋊C4C22semidirect
368. #2335C22semidirect
369. #2327C22semidirect
372. #2319C22semidirect

Maximal subgroups

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

subgroupindex
#592142
#587362
#585152
#575932
#569012
#563212
#557262
#539332
#537182
#536252
#535582
#535502
#535152
#527782
#519122
#513332
#496172
#495752
#488572
#484592
#481012
#478562
#477982
#475892
#458002
#452982
#423752
#420602
#417182
#412412
#398382
#396082
#393642
#378952
#374592