Finite Group Databasebeta

← #7714784

Subgroups — #7714784

Order 512.

4736 conjugacy classes of subgroups.

The subgroup lattice has 2271 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50148C212yesmaximal, complemented
2#50128C212yesmaximal, complemented
3#50078C212yesmaximal, complemented
4#50057C212yesmaximal, complemented
5#48765C212yesmaximal, complemented
6#48738C212yesmaximal, complemented
7#48639C212yesmaximal, complemented
8#48611C212yesmaximal, complemented
9#47819C211yesmaximal, characteristic, complemented
10#47809C212yesmaximal, complemented
11#47807C211yesmaximal, characteristic, complemented
12#47802C211yesmaximal, characteristic, complemented
13#47801C211yesmaximal, characteristic, complemented
14#47797C212yesmaximal, complemented
15#47659C211yesmaximal, characteristic, complemented
16#47540C211yesmaximal, characteristic, complemented
17#47370C212yesmaximal, complemented
18#47176C211yesmaximal, characteristic, complemented
19#46972C211yesmaximal, characteristic, complemented
20#46607C212yesmaximal, complemented
21#40406C212yesmaximal, complemented
22#40366C212yesmaximal, complemented
23#38558C212yesmaximal, complemented
24#38518C212yesmaximal, complemented
25#38003C212yesmaximal, complemented
26#37930C212yesmaximal, complemented
27#37822C212yesmaximal, complemented
28#37734C212yesmaximal, complemented
29#37611C211yesmaximal, characteristic, complemented
30#37575C211yesmaximal, characteristic, complemented
31#37267C211yesmaximal, characteristic, complemented
32#37261C211yesmaximal, characteristic, complemented
33#37221C212yesmaximal, complemented
34#35249C211yesmaximal, characteristic, complemented
35#35245C211yesmaximal, characteristic, complemented
36#35156C212yesmaximal, complemented
37#35122C212yesmaximal, complemented
38#34429C212yesmaximal, complemented
39C4×#536C211yesmaximal, characteristic, complemented
40C2×#542C2212yes—
41C2×#540C2212yes—
42C2×#536C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2866C2212yes—
48#2861C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2853C2212yes—
53#2853C2212yes—
54#2853C2212yes—
55#2844C2211yescharacteristic
56#2831C2212yes—
57#2830C2211yescharacteristic
58#2828C2211yescharacteristic
59#2819C2212yes—
60#2819C2211yescharacteristic
61#2811C2211yescharacteristic
62#2805C2212yes—
63#2805C2212yes—
64#2804C2212yes—
65#2804C2212yes—
66#2803C2212yes—
67#2803C2212yes—
68#2799C2212yes—
69#2799C2211yescharacteristic
70#2798C2212yes—
71#2796C2212yes—
72#2796C2212yes—
73#2795C2212yes—
74#2795C2211yescharacteristic
75#2792C2212yes—
76#2792C2211yescharacteristic
77#2792C2212yes—
78#2790C2212yes—
79#2788C2212yes—
80#2785C2212yes—
81#2782C2212yes—
82#2781C2212yes—
83#2780C2212yes—
84#2779C2212yes—
85#2778C2212yes—
86#2777C2212yes—
87#2777C2212yes—
88#2775C2212yes—
89#2775C2212yes—
90#2774C2212yes—
91#2773C2212yes—
92#2769C2212yes—
93#2768C2212yes—
94#2765C2212yes—
95#2765C2212yes—
96#2765C2212yes—
97#2765C2212yes—
98#2758C2212yes—
99#2753C2212yes—
100#2751C2212yes—
101#2751C2212yes—
102#2749C2212yes—
103#2749C2212yes—
104#2743C2212yes—
105#2742C2212yes—
106#2740C2212yes—
107#2737C2212yes—
108#2733C2211yescharacteristic
109#2733C2212yes—
110#2733C2212yes—
111#2731C2212yes—
112#2730C2212yes—
113#2730C2212yes—
114#2729C2212yes—
115#2728C2211yescharacteristic
116#2725C2212yes—
117#2723C2212yes—
118#2721C2212yes—
119#2720C2212yes—
120#2720C2212yes—
121#2718C2212yes—
122#2718C2212yes—
123#2717C2212yes—
124#2717C2212yes—
125#2714C2212yes—
126#2714C2212yes—
127#2714C2212yes—
128#2713C2212yes—
129#2710C2212yes—
130#2710C2212yes—
131#2710C2212yes—
132#2710C2212yes—
133#2705C2212yes—
134#2703C2212yes—
135#2702C2212yes—
136#2701C2212yes—
137#2701C2212yes—
138#2700C2212yes—
139#2696C2212yes—
140#2696C2212yes—
141#2694C2212yes—
142#2692C2212yes—
143#2692C2212yes—
144#2691C2212yes—
145#2688C2212yes—
146#2686C2212yes—
147#2682C2212yes—
148#2682C2212yes—
149#2681C2212yes—
150#2680C2212yes—
151#2680C2211yescharacteristic
152#2680C2211yescharacteristic
153#2676C2212yes—
154#2674C2212yes—
155#2673C2212yes—
156#2673C2212yes—
157#2673C2212yes—
158#2673C2212yes—
159#2672C2212yes—
160#2671C2212yes—
161#2665C2212yes—
162#2661C2212yes—
163#2651C2212yes—
164#2651C2212yes—
165#2650C2212yes—
166#2650C2212yes—
167#2649C2212yes—
168#2648C2212yes—
169#2635C2212yes—
170#2635C2212yes—
171#2635C2212yes—
172#2635C2212yes—
173#2634C2211yescharacteristic
174#2634C2211yescharacteristic
175#2632C2212yes—
176#2632C2211yescharacteristic
177#2632C2211yescharacteristic
178#2632C2211yescharacteristic
179#2632C2211yescharacteristic
180#2632C2211yescharacteristic
181#2632C2211yescharacteristic
182#2632C2212yes—
183#2630C2212yes—
184#2630C2212yes—
185#2612C2212yes—
186#2612C2211yescharacteristic
187#2610C2212yes—
188#2610C2212yes—
189#2610C2212yes—
190#2610C2212yes—
191#2609C2212yes—
192#2609C2211yescharacteristic
193#2604C2212yes—
194#2604C2212yes—
195#2604C2212yes—
196#2602C2212yes—
197#2602C2212yes—
198#2598C2212yes—
199#2597C2212yes—
200#2596C2212yes—
201#2595C2212yes—
202#2591C2211yescharacteristic
203#2591C2211yescharacteristic
204#2589C2212yes—
205#2588C2212yes—
206#2586C2212yes—
207#2583C2211yescharacteristic
208#2583C2211yescharacteristic
209#2583C2212yes—
210#2581C2211yescharacteristic
211#2581C2211yescharacteristic
212#2580C2212yes—
213#2580C2212yes—
214#2580C2212yes—
215#2578C2212yes—
216#2578C2212yes—
217#2577C2212yes—
218#2573C2212yes—
219#2572C2212yes—
220#2572C2212yes—
221#2572C2212yes—
222#2572C2212yes—
223#2567C2211yescharacteristic
224#2567C2211yescharacteristic
225#2564C2212yes—
226#2560C2212yes—
227#2558C2212yes—
228#2558C2212yes—
229#2557C2212yes—
230#2557C2212yes—
231#2557C2212yes—
232#2557C2212yes—
233#2555C2211yescharacteristic
234#2555C2211yescharacteristic
235#2555C2212yes—
236#2555C2212yes—
237#2554C2212yes—
238#2554C2212yes—
239#2548C2211yescharacteristic
240#2548C2211yescharacteristic
241#2536C2211yescharacteristic
242#2536C2211yescharacteristic
243#2533C2212yes—
244#2532C2212yes—
245#2532C2212yes—
246#2531C2212yes—
247#2530C2212yes—
248#2527C2212yes—
249#2526C2212yes—
250#2526C2212yes—
251#2525C2212yes—
252#2525C2212yes—
253#2524C2212yes—
254#2523C2212yes—
255#2522C2212yes—
256#2521C2212yes—
257#2521C2212yes—
258#2516C2212yes—
259#2516C2212yes—
260#2515C2212yes—
261#2511C2212yes—
262#2501C2212yes—
263#2493C2212yes—
264#2488C2212yes—
265#2487C2212yes—
266#2477C2212yes—
267#2476C2212yes—
268#2476C2212yes—
269#2476C2212yes—
270#2475C2212yes—
271#2474C2212yes—
272#2471C2212yes—
273#2471C2212yes—
274#2470C2212yes—
275#2470C2212yes—
276#2470C2212yes—
277#2470C2212yes—
278#2469C2212yes—
279#2467C2212yes—
280#2465C2212yes—
281#2465C2212yes—
282#2464C2212yes—
283#2463C2212yes—
284#2462C2212yes—
285#2462C2212yes—
286#2461C2212yes—
287#2461C2212yes—
288#2461C2212yes—
289#2461C2212yes—
290#2461C2212yes—
291#2460C2212yes—
292#2458C2212yes—
293#2458C2212yes—
294#2458C2212yes—
295#2458C2212yes—
296#2457C2212yes—
297#2457C2212yes—
298#2457C2212yes—
299#2456C2212yes—
300#2456C2212yes—
301#2456C2212yes—
302#2456C2212yes—
303#2456C2212yes—
304#2455C2212yes—
305#2455C2212yes—
306#2455C2212yes—
307#2453C2212yes—
308#2450C2212yes—
309#2445C2212yes—
310#2445C2212yes—
311#2444C2212yes—
312#2444C2212yes—
313#2443C2212yes—
314#2443C2212yes—
315#2441C2212yes—
316#2436C2212yes—
317#2431C2212yes—
318#2431C2212yes—
319#2430C2212yes—
320#2427C2212yes—
321#2426C2212yes—
322#2426C2212yes—
323#2425C2212yes—
324#2422C2212yes—
325#2422C2212yes—
326#2414C2212yes—
327#2409C2212yes—
328#2407C2212yes—
329#2407C2212yes—
330#2406C2211yescharacteristic
331#2406C2211yescharacteristic
332#2406C2211yescharacteristic
333#2406C2211yescharacteristic
334#2406C2212yes—
335#2383C2212yes—
336#2383C2212yes—
337#2376C2212yes—
338#2376C2212yes—
339#2373C2212yes—
340#2373C2212yes—
341#2363C2212yes—
342#2362C2212yes—
343#2361C2212yes—
344#2360C2212yes—
345#2359C2212yes—
346#2359C2212yes—
347#2356C2212yes—
348#2354C2212yes—
349Q8×C4⋊C4C2212yes—
350#2349C2212yes—
351#2337C2212yes—
352#2337C2212yes—
353#2335C2212yes—
354#2335C2212yes—
355#2333C2212yes—
356#2332C2212yes—
357#2331C2212yes—
358#2329C2212yes—
359#2329C2212yes—
360#2327C2211yescharacteristic
361#2327C2211yescharacteristic
362#2326C2211yescharacteristic
363#2326C2211yescharacteristic
364#2326C2212yes—
365#2326C2212yes—
366#2326C2212yes—
367#2326C2212yes—
368#2323C2212yes—
369#2323C2212yes—
370#2323C2212yes—
371#2323C2212yes—
372#2323C2212yes—
373#2322C2212yes—
374#2322C2212yes—
375#2319C2212yes—
376#2317C2211yescharacteristic
377#2317C2212yes—
378#2311C2211yescharacteristic
379#2310C2211yescharacteristic
380C4×C4⋊Q8C2211yescharacteristic
381C4×C4⋊Q8C2211yescharacteristic
382C4×#124C2211yescharacteristic
383C4×#124C2211yescharacteristic
384C4×#124C2212yes—
385C4×C22⋊Q8C2212yes—
386C4×C22⋊Q8C2212yes—
387C4×#123C2212yes—
388C4×#123C2212yes—
389C4×#121C2212yes—
390#2298C2212yes—
391#2290C2212yes—
392#2283C2211yescharacteristic
393#2283C2211yescharacteristic
394C4×#117C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399#542—216no—
400#540—48no—
401#536—28no—
402#532—44no—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×#127C2311yescharacteristic
407C2×#127C2312yes—
408#529—44no—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#125C2311yescharacteristic
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#124C2311yescharacteristic
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2311yescharacteristic
421C2×#124C2312yes—
422C2×#124C2311yescharacteristic
423C2×#124C2311yescharacteristic
424C2×#124C2311yescharacteristic
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2311yescharacteristic
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C4×#41—44no—
471C2×C4×Q8—44no—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2312yes—
485C2×C4×Q8C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517#401C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2311yescharacteristic
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2311yescharacteristic
529#400C2311yescharacteristic
530#400C2311yescharacteristic
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#398C2312yes—
558#398C2311yescharacteristic
559#398C2312yes—
560#398C2312yes—
561#398C2311yescharacteristic
562#398C2311yescharacteristic
563#398C2311yescharacteristic
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#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#396C2312yes—
601#396C2312yes—
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#395C2311yescharacteristic
618#395C2311yescharacteristic
619#395C2311yescharacteristic
620#395C2311yescharacteristic
621#395C2311yescharacteristic
622#395C2311yescharacteristic
623#395C2311yescharacteristic
624#395C2311yescharacteristic
625#395C2312yes—
626#395C2311yescharacteristic
627#395C2311yescharacteristic
628#395C2311yescharacteristic
629#395C2311yescharacteristic
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2311yescharacteristic
645#394C2311yescharacteristic
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2311yescharacteristic
651#394C2312yes—
652#394C2311yescharacteristic
653#394C2311yescharacteristic
654#394C2311yescharacteristic
655#394C2312yes—
656#394C2312yes—
657#394C2311yescharacteristic
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2311yescharacteristic
666#394C2312yes—
667#394C2312yes—
668#394C2311yescharacteristic
669#394C2311yescharacteristic
670#394C2311yescharacteristic
671#394C2311yescharacteristic
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#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2312yes—
732#391C2312yes—
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2311yescharacteristic
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#389C2312yes—
777#389C2312yes—
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#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#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#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
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#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
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#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#384C2311yescharacteristic
1054#384C2311yescharacteristic
1055#384C2312yes—
1056#384C2312yes—
1057#384C2312yes—
1058#384C2312yes—
1059#383C2312yes—
1060#383C2311yescharacteristic
1061#383C2311yescharacteristic
1062#383C2312yes—
1063#383C2312yes—
1064#383C2312yes—
1065#383C2311yescharacteristic
1066#383C2311yescharacteristic
1067#383C2312yes—
1068#382C2311yescharacteristic
1069#382C2312yes—
1070#382C2311yescharacteristic
1071#382C2312yes—
1072#382C2312yes—
1073#382C2312yes—
1074#382C2311yescharacteristic
1075#382C2311yescharacteristic
1076#381C2312yes—
1077#381C2312yes—
1078#381C2312yes—
1079#381C2312yes—
1080#381C2312yes—
1081#381C2312yes—
1082#381C2312yes—
1083#381C2312yes—
1084#381C2311yescharacteristic
1085#381C2311yescharacteristic
1086#380C2312yes—
1087#380C2312yes—
1088#380C2312yes—
1089#380C2312yes—
1090#380C2312yes—
1091#380C2312yes—
1092#380C2312yes—
1093#380C2312yes—
1094#380C2312yes—
1095#380C2312yes—
1096#380C2312yes—
1097#380C2312yes—
1098#380C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2312yes—
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2312yes—
1114C4×C4⋊C4C2312yes—
1115C4×C4⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2311yescharacteristic
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141#376C2311yescharacteristic
1142#376C2311yescharacteristic
1143#376C2312yes—
1144#376C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C43C2311yescharacteristic
1148C43C2311yescharacteristic
1149C2×#41—24no—
1150C2×#41—42no—
1151C2×#41—42no—
1152C2×#41—42no—
1153C2×#41—42no—
1154C2×#41—82no—
1155C2×#41—82no—
1156C22×Q8—24no—
1157C22×Q8—42no—
1158C22×Q8—42no—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2411yescharacteristic
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2412yes—
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2411yescharacteristic
1168C22×Q8C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2411yescharacteristic
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2411yescharacteristic
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2411yescharacteristic
1186C22×D4C2412yes—
1187C22×D4C2412yes—
1188C22×D4C2411yescharacteristic
1189C23×C4C2411yescharacteristic
1190C23×C4C2411yescharacteristic
1191C23×C4C2411yescharacteristic
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C23×C4C2411yescharacteristic
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2411yescharacteristic
1208C4⋊Q8—24no—
1209C4⋊Q8—42no—
1210C4⋊Q8#4118yescomplemented
1211#127—42no—
1212#127—44no—
1213#126—28no—
1214#126—28no—
1215#126—44no—
1216#126—82no—
1217#125—42no—
1218#125—44no—
1219#125—82no—
1220#124—24no—
1221#124—28no—
1222#124—28no—
1223#124—24no—
1224#124—28no—
1225#124—42no—
1226#124—42no—
1227#124—42no—
1228#124—44no—
1229#124—82no—
1230#124—82no—
1231#124—82no—
1232#124—82no—
1233#123—28no—
1234#123—28no—
1235#123—28no—
1236#123—28no—
1237#123—28no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—44no—
1242#123—82no—
1243#123—82no—
1244#123—82no—
1245#123—82no—
1246#123—82no—
1247#123—82no—
1248#123—82no—
1249#123—82no—
1250#123—82no—
1251C22⋊Q8—28no—
1252C22⋊Q8—28no—
1253C22⋊Q8—28no—
1254C22⋊Q8—28no—
1255C22⋊Q8—28no—
1256C22⋊Q8—42no—
1257C22⋊Q8—44no—
1258C22⋊Q8—44no—
1259C22⋊Q8—82no—
1260C22⋊Q8—82no—
1261#121—28no—
1262#121—28no—
1263#121—44no—
1264#121—44no—
1265#121—44no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—42no—
1270#121—44no—
1271#121—82no—
1272#121—82no—
1273#121—82no—
1274C4×Q8—28no—
1275C4×Q8—42no—
1276C4×Q8—42no—
1277C4×Q8—42no—
1278C4×Q8—42no—
1279C4×Q8—42no—
1280C4×Q8—42no—
1281C4×Q8—42no—
1282C4×Q8—42no—
1283C4×Q8—42no—
1284C4×Q8—42no—
1285C4×Q8—42no—
1286C4×Q8—82no—
1287C4×Q8—82no—
1288C4×D4—28no—
1289C4×D4—28no—
1290C4×D4—42no—
1291C4×D4—42no—
1292C4×D4—44no—
1293C4×D4—44no—
1294C4×D4—44no—
1295C4×D4—42no—
1296C4×D4—44no—
1297C4×D4—44no—
1298C4×D4—44no—
1299C4×D4—82no—
1300C4×D4—82no—
1301C4×D4—82no—
1302C4×D4—82no—
1303#117—24no—
1304#117—28no—
1305#117—44no—
1306#117—44no—
1307#117—44no—
1308#117—42no—
1309#117—42no—
1310#117—82no—
1311C2×C4⋊C4—42no—
1312C2×C4⋊C4—42no—
1313C2×C4⋊C4—42no—
1314C2×C4⋊C4—82no—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊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×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C42—24no—
1484C2×C42—24no—
1485C2×C42—24no—
1486C2×C42—44no—
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2411yescharacteristic
1501C2×C42C2411yescharacteristic
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2411yescharacteristic
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—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2411yescharacteristic
1569#95C2411yescharacteristic
1570#95C2411yescharacteristic
1571#95C2412yes—
1572#95C2411yescharacteristic
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2411yescharacteristic
1596#95C2411yescharacteristic
1597#95C2411yescharacteristic
1598#95C2411yescharacteristic
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625C24C2512yes—
1626C24C2512yes—
1627C24C2512yes—
1628C24C2512yes—
1629C24C2511yescharacteristic
1630#41—416no—
1631#41—88no—
1632#41—88no—
1633C2×Q8—24no—
1634C2×Q8—22no—
1635C2×Q8—22no—
1636C2×Q8—22no—
1637C2×Q8—22no—
1638C2×Q8—22no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—41no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8—42no—
1645C2×Q8—41no—
1646C2×Q8—41no—
1647C2×Q8—42no—
1648C2×Q8—41no—
1649C2×Q8—41no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—41no—
1653C2×Q8—41no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—42no—
1658C2×Q8—416no—
1659C2×Q8C2×#4114yes—
1660C2×Q8C2×#4114yes—
1661C2×D4—24no—
1662C2×D4—24no—
1663C2×D4—24no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—22no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—41no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—41no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—41no—
1694C2×D4—41no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C22×C4—22no—
1719C22×C4—22no—
1720C22×C4—22no—
1721C22×C4—22no—
1722C22×C4—22no—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—22no—
1726C22×C4—24no—
1727C22×C4—24no—
1728C22×C4—22no—
1729C22×C4—22no—
1730C22×C4—24no—
1731C22×C4—24no—
1732C22×C4—24no—
1733C22×C4—24no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—41no—
1739C22×C4—41no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4—42no—
1770C22×C4H(5,𝔽2)14yes—
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2511yescharacteristic
1783C22×C4C2511yescharacteristic
1784C22×C4C2511yescharacteristic
1785C22×C4C2511yescharacteristic
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2511yescharacteristic
1792C22×C4C2512yes—
1793C22×C4C2511yescharacteristic
1794C22×C4C2512yes—
1795C22×C4C2511yescharacteristic
1796C22×C4C2511yescharacteristic
1797C22×C4C2512yes—
1798C22×C4C2511yescharacteristic
1799C22×C4C2511yescharacteristic
1800C22×C4C2512yes—
1801C22×C4C2511yescharacteristic
1802C22×C4C2511yescharacteristic
1803C22×C4C2511yescharacteristic
1804C22×C4C2511yescharacteristic
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—41no—
1830C4⋊C4—41no—
1831C4⋊C4—41no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—41no—
1845C4⋊C4—41no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—41no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—41no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4C2×#4118yes—
1884C4⋊C4C2×#4118yes—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C42—24no—
1974C42—22no—
1975C42—24no—
1976C42—24no—
1977C42—22no—
1978C42—22no—
1979C42—22no—
1980C42—22no—
1981C42—22no—
1982C42—22no—
1983C42—22no—
1984C42—22no—
1985C42—22no—
1986C42—22no—
1987C42—22no—
1988C42—22no—
1989C42—24no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—41no—
1996C42—41no—
1997C42—42no—
1998C42—42no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42C2×#4114yes—
2011C23—21no—
2012C23—21no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23C2×H(5,𝔽2)12yes—
2044C23C2611yescharacteristic
2045Q8—44no—
2046Q8—44no—
2047Q8—44no—
2048Q8—44no—
2049Q8—48no—
2050Q8—44no—
2051Q8—82no—
2052Q8—82no—
2053Q8—82no—
2054Q8—162no—
2055D4—48no—
2056D4—48no—
2057D4—44no—
2058D4—84no—
2059D4—84no—
2060D4—84no—
2061D4—84no—
2062D4—84no—
2063D4—84no—
2064D4—82no—
2065D4—84no—
2066D4—84no—
2067D4—84no—
2068D4—82no—
2069D4—82no—
2070D4—162no—
2071D4—162no—
2072D4—162no—
2073D4—162no—
2074D4—162no—
2075C2×C4—28no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—22no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—21no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—21no—
2120C2×C4—22no—
2121C2×C4—21no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—44no—
2163C2×C4—48no—
2164C2×C4—44no—
2165C2×C4—44no—
2166C2×C4—48no—
2167C2×C4—44no—
2168C2×C4—84no—
2169C2×C4—84no—
2170C2×C4—84no—
2171C2×C4—82no—
2172C2×C4—82no—
2173C2×C4—84no—
2174C2×C4—84no—
2175C2×C4—84no—
2176C2×C4—162no—
2177C2×C4—162no—
2178C2×C4—162no—
2179C2×C4—162no—
2180C2×C4C22×#4112yes—
2181C2×C4C22×#4114yes—
2182C2×C4C22×#4112yes—
2183C2×C4C22×#4114yes—
2184C2×C4C22×#4112yes—
2185C2×C4C2×H(5,𝔽2)12yes—
2186C2×C4C2×H(5,𝔽2)12yes—
2187C2×C4#58512yes—
2188C22—22no—
2189C22—22no—
2190C22—22no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—42no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—42no—
2203C22—42no—
2204C22—42no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—42no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22C23×#4111yescharacteristic
2222C22C22×H(5,𝔽2)11yescharacteristic
2223C22C2×#58511yescharacteristic
2224C22H(7,𝔽2)12yes—
2225C222−1+612yes—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—24no—
2230C4—22no—
2231C4—24no—
2232C4—22no—
2233C4—22no—
2234C4—41no—
2235C4—41no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—42no—
2244C4—41no—
2245C4—41no—
2246C4—41no—
2247C4—41no—
2248C4—41no—
2249C4—42no—
2250C4—42no—
2251C4—42no—
2252C4—41no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C2—42no—
2261C2—82no—
2262C2—82no—
2263C2—82no—
2264C2—82no—
2265C2#6277311yescharacteristic
2266C2#6285112yes—
2267C2#6287111yescharacteristic
2268C2#6287411yescharacteristic
2269C2#6288212yes—
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. #50148C2semidirect
2. #50128C2semidirect
3. #50078C2semidirect
4. #50057C2semidirect
5. #48765C2semidirect
6. #48738C2semidirect
7. #48639C2semidirect
8. #48611C2semidirect
9. #47819C2semidirect
10. #47809C2semidirect
11. #47807C2semidirect
12. #47802C2semidirect
13. #47801C2semidirect
14. #47797C2semidirect
15. #47659C2semidirect
16. #47540C2semidirect
17. #47370C2semidirect
18. #47176C2semidirect
19. #46972C2semidirect
20. #46607C2semidirect
21. #40406C2semidirect
22. #40366C2semidirect
23. #38558C2semidirect
24. #38518C2semidirect
25. #38003C2semidirect
26. #37930C2semidirect
27. #37822C2semidirect
28. #37734C2semidirect
29. #37611C2semidirect
30. #37575C2semidirect
31. #37267C2semidirect
32. #37261C2semidirect
33. #37221C2semidirect
34. #35249C2semidirect
35. #35245C2semidirect
36. #35156C2semidirect
37. #35122C2semidirect
38. #34429C2semidirect
39. C4×#536C2semidirect
1210. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#501482
#501282
#500782
#500572
#487652
#487382
#486392
#486112
#478192
#478092
#478072
#478022
#478012
#477972
#476592
#475402
#473702
#471762
#469722
#466072
#404062
#403662
#385582
#385182
#380032
#379302
#378222
#377342
#376112
#375752
#372672
#372612
#372212
#352492
#352452
#351562
#351222
#344292
C4×#5362