Finite Group Databasebeta

← #7714819

Subgroups — #7714819

Order 512.

4736 conjugacy classes of subgroups.

The subgroup lattice has 2273 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50162C212yesmaximal, complemented
2#50141C212yesmaximal, complemented
3#50068C212yesmaximal, complemented
4#50048C212yesmaximal, complemented
5#48751C212yesmaximal, complemented
6#48723C212yesmaximal, complemented
7#48649C212yesmaximal, complemented
8#48622C212yesmaximal, complemented
9#47817C211yesmaximal, characteristic, complemented
10#47809C211yesmaximal, characteristic, complemented
11#47807C212yesmaximal, complemented
12#47804C211yesmaximal, characteristic, complemented
13#47801C211yesmaximal, characteristic, complemented
14#47797C212yesmaximal, complemented
15#47664C211yesmaximal, characteristic, complemented
16#47546C211yesmaximal, characteristic, complemented
17#47376C212yesmaximal, complemented
18#47171C211yesmaximal, characteristic, complemented
19#46966C211yesmaximal, characteristic, complemented
20#46620C212yesmaximal, complemented
21#40403C212yesmaximal, complemented
22#40378C212yesmaximal, complemented
23#38555C212yesmaximal, complemented
24#38530C212yesmaximal, complemented
25#38007C212yesmaximal, complemented
26#37918C212yesmaximal, complemented
27#37810C212yesmaximal, complemented
28#37738C212yesmaximal, complemented
29#37611C211yesmaximal, characteristic, complemented
30#37578C211yesmaximal, characteristic, complemented
31#37263C212yesmaximal, complemented
32#37226C211yesmaximal, characteristic, complemented
33#37216C211yesmaximal, characteristic, complemented
34#35243C212yesmaximal, complemented
35#35210C211yesmaximal, characteristic, complemented
36#35190C211yesmaximal, characteristic, complemented
37#35125C212yesmaximal, complemented
38#34429C212yesmaximal, complemented
39C4×#536C211yesmaximal, characteristic, complemented
40C2×#542C2212yes—
41C2×#542C2212yes—
42C2×#536C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2865C2212yes—
48#2860C2212yes—
49#2852C2212yes—
50#2852C2212yes—
51#2852C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2850C2212yes—
55#2844C2211yescharacteristic
56#2833C2211yescharacteristic
57#2832C2211yescharacteristic
58#2829C2212yes—
59#2819C2212yes—
60#2819C2211yescharacteristic
61#2809C2211yescharacteristic
62#2808C2212yes—
63#2807C2212yes—
64#2806C2212yes—
65#2804C2212yes—
66#2803C2212yes—
67#2803C2212yes—
68#2803C2212yes—
69#2802C2212yes—
70#2801C2212yes—
71#2799C2211yescharacteristic
72#2795C2212yes—
73#2792C2212yes—
74#2788C2212yes—
75#2788C2212yes—
76#2785C2211yescharacteristic
77#2782C2212yes—
78#2782C2211yescharacteristic
79#2782C2211yescharacteristic
80#2781C2212yes—
81#2781C2212yes—
82#2780C2212yes—
83#2780C2212yes—
84#2779C2212yes—
85#2779C2212yes—
86#2775C2212yes—
87#2774C2212yes—
88#2773C2212yes—
89#2770C2212yes—
90#2769C2212yes—
91#2769C2211yescharacteristic
92#2766C2212yes—
93#2764C2212yes—
94#2762C2212yes—
95#2761C2212yes—
96#2758C2212yes—
97#2757C2212yes—
98#2756C2212yes—
99#2755C2212yes—
100#2752C2212yes—
101#2751C2212yes—
102#2751C2212yes—
103#2748C2212yes—
104#2747C2212yes—
105#2746C2212yes—
106#2741C2212yes—
107#2738C2212yes—
108#2737C2212yes—
109#2734C2212yes—
110#2733C2212yes—
111#2733C2211yescharacteristic
112#2731C2212yes—
113#2730C2212yes—
114#2730C2212yes—
115#2730C2212yes—
116#2730C2212yes—
117#2729C2212yes—
118#2729C2212yes—
119#2728C2211yescharacteristic
120#2727C2212yes—
121#2723C2212yes—
122#2721C2212yes—
123#2720C2212yes—
124#2720C2212yes—
125#2720C2212yes—
126#2718C2212yes—
127#2718C2212yes—
128#2718C2212yes—
129#2714C2212yes—
130#2714C2212yes—
131#2714C2212yes—
132#2714C2212yes—
133#2712C2212yes—
134#2710C2212yes—
135#2709C2212yes—
136#2709C2212yes—
137#2705C2212yes—
138#2704C2212yes—
139#2702C2212yes—
140#2701C2212yes—
141#2699C2212yes—
142#2696C2212yes—
143#2696C2212yes—
144#2695C2212yes—
145#2692C2212yes—
146#2689C2212yes—
147#2688C2212yes—
148#2682C2212yes—
149#2682C2212yes—
150#2682C2212yes—
151#2681C2212yes—
152#2680C2212yes—
153#2676C2212yes—
154#2674C2212yes—
155#2673C2212yes—
156#2673C2212yes—
157#2672C2212yes—
158#2671C2212yes—
159#2671C2212yes—
160#2671C2212yes—
161#2666C2212yes—
162#2662C2212yes—
163#2654C2212yes—
164#2653C2212yes—
165#2653C2212yes—
166#2651C2212yes—
167#2648C2212yes—
168#2648C2212yes—
169#2638C2211yescharacteristic
170#2638C2211yescharacteristic
171#2637C2212yes—
172#2637C2212yes—
173#2635C2212yes—
174#2635C2212yes—
175#2635C2211yescharacteristic
176#2635C2211yescharacteristic
177#2635C2211yescharacteristic
178#2635C2211yescharacteristic
179#2635C2211yescharacteristic
180#2635C2211yescharacteristic
181#2632C2212yes—
182#2632C2212yes—
183#2632C2212yes—
184#2632C2212yes—
185#2612C2212yes—
186#2612C2211yescharacteristic
187#2611C2211yescharacteristic
188#2611C2212yes—
189#2611C2211yescharacteristic
190#2610C2211yescharacteristic
191#2610C2212yes—
192#2610C2212yes—
193#2610C2211yescharacteristic
194#2610C2212yes—
195#2609C2212yes—
196#2609C2211yescharacteristic
197#2604C2212yes—
198#2602C2212yes—
199#2602C2212yes—
200#2602C2212yes—
201#2602C2212yes—
202#2598C2212yes—
203#2598C2211yescharacteristic
204#2598C2211yescharacteristic
205#2598C2211yescharacteristic
206#2598C2211yescharacteristic
207#2597C2212yes—
208#2597C2212yes—
209#2595C2212yes—
210#2594C2212yes—
211#2591C2212yes—
212#2588C2212yes—
213#2585C2212yes—
214#2581C2211yescharacteristic
215#2580C2211yescharacteristic
216#2580C2212yes—
217#2578C2212yes—
218#2576C2212yes—
219#2576C2212yes—
220#2575C2212yes—
221#2573C2212yes—
222#2572C2212yes—
223#2572C2212yes—
224#2572C2211yescharacteristic
225#2572C2211yescharacteristic
226#2572C2212yes—
227#2568C2211yescharacteristic
228#2560C2212yes—
229#2560C2212yes—
230#2560C2212yes—
231#2559C2212yes—
232#2559C2212yes—
233#2559C2212yes—
234#2556C2212yes—
235#2555C2212yes—
236#2555C2212yes—
237#2555C2212yes—
238#2554C2212yes—
239#2548C2211yescharacteristic
240#2543C2212yes—
241#2542C2211yescharacteristic
242#2541C2211yescharacteristic
243#2536C2211yescharacteristic
244#2535C2211yescharacteristic
245#2533C2212yes—
246#2532C2212yes—
247#2531C2212yes—
248#2529C2212yes—
249#2527C2212yes—
250#2527C2212yes—
251#2526C2212yes—
252#2526C2212yes—
253#2525C2212yes—
254#2524C2212yes—
255#2522C2212yes—
256#2521C2212yes—
257#2520C2212yes—
258#2519C2212yes—
259#2518C2212yes—
260#2516C2212yes—
261#2516C2212yes—
262#2515C2212yes—
263#2510C2212yes—
264#2500C2212yes—
265#2493C2212yes—
266#2490C2212yes—
267#2485C2212yes—
268#2479C2212yes—
269#2477C2212yes—
270#2476C2212yes—
271#2476C2212yes—
272#2476C2212yes—
273#2476C2212yes—
274#2474C2212yes—
275#2470C2212yes—
276#2469C2212yes—
277#2469C2212yes—
278#2468C2212yes—
279#2468C2212yes—
280#2467C2212yes—
281#2465C2212yes—
282#2465C2212yes—
283#2465C2212yes—
284#2465C2212yes—
285#2465C2212yes—
286#2464C2212yes—
287#2464C2212yes—
288#2464C2212yes—
289#2463C2212yes—
290#2461C2212yes—
291#2461C2212yes—
292#2461C2212yes—
293#2459C2212yes—
294#2458C2212yes—
295#2458C2212yes—
296#2458C2212yes—
297#2458C2212yes—
298#2458C2212yes—
299#2458C2212yes—
300#2457C2212yes—
301#2456C2212yes—
302#2456C2212yes—
303#2456C2212yes—
304#2455C2212yes—
305#2451C2212yes—
306#2451C2212yes—
307#2450C2212yes—
308#2450C2212yes—
309#2449C2212yes—
310#2449C2212yes—
311#2449C2212yes—
312#2449C2212yes—
313#2448C2212yes—
314#2445C2212yes—
315#2443C2212yes—
316#2443C2212yes—
317#2440C2212yes—
318#2436C2212yes—
319#2432C2212yes—
320#2431C2212yes—
321#2430C2212yes—
322#2428C2212yes—
323#2427C2212yes—
324#2426C2212yes—
325#2425C2212yes—
326#2423C2212yes—
327#2419C2212yes—
328#2416C2212yes—
329#2409C2212yes—
330#2407C2212yes—
331#2407C2212yes—
332#2407C2212yes—
333#2407C2212yes—
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#2337C2212yes—
354#2335C2212yes—
355#2334C2212yes—
356#2333C2212yes—
357#2331C2212yes—
358#2329C2212yes—
359#2329C2212yes—
360#2328C2212yes—
361#2327C2211yescharacteristic
362#2327C2211yescharacteristic
363#2326C2211yescharacteristic
364#2326C2211yescharacteristic
365#2326C2212yes—
366#2326C2212yes—
367#2326C2212yes—
368#2324C2212yes—
369#2323C2212yes—
370#2323C2212yes—
371#2323C2212yes—
372#2323C2212yes—
373#2322C2212yes—
374#2322C2212yes—
375#2320C2212yes—
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×#41C2312yes—
397C23×Q8C2311yescharacteristic
398#542—216no—
399#542—48no—
400#536—28no—
401#532—44no—
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×#127C2312yes—
407C2×#127C2311yescharacteristic
408#529—44no—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#125C2311yescharacteristic
417C2×#125C2312yes—
418C2×#124C2311yescharacteristic
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2311yescharacteristic
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2311yescharacteristic
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×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2311yescharacteristic
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2311yescharacteristic
457C2×#121C2311yescharacteristic
458C2×#121C2311yescharacteristic
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C4×#41—44no—
470C2×C4×Q8—44no—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
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×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517#401C2312yes—
518#401C2312yes—
519#400C2311yescharacteristic
520#400C2311yescharacteristic
521#400C2311yescharacteristic
522#400C2311yescharacteristic
523#400C2311yescharacteristic
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2311yescharacteristic
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#399C2312yes—
545#399C2311yescharacteristic
546#399C2311yescharacteristic
547#399C2311yescharacteristic
548#399C2312yes—
549#399C2311yescharacteristic
550#399C2311yescharacteristic
551#399C2311yescharacteristic
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#399C2312yes—
558#399C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2311yescharacteristic
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2311yescharacteristic
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
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#397C2311yescharacteristic
599#397C2311yescharacteristic
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
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#395C2311yescharacteristic
622#395C2312yes—
623#395C2311yescharacteristic
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2311yescharacteristic
640#394C2311yescharacteristic
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2311yescharacteristic
651#394C2311yescharacteristic
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2311yescharacteristic
659#394C2311yescharacteristic
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#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2311yescharacteristic
695#393C2312yes—
696#393C2311yescharacteristic
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2311yescharacteristic
710#392C2311yescharacteristic
711#392C2311yescharacteristic
712#392C2311yescharacteristic
713#392C2312yes—
714#392C2312yes—
715#392C2311yescharacteristic
716#392C2311yescharacteristic
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2311yescharacteristic
732#391C2311yescharacteristic
733#391C2312yes—
734#391C2312yes—
735#391C2311yescharacteristic
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#390C2312yes—
751#390C2312yes—
752#390C2311yescharacteristic
753#390C2311yescharacteristic
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#389C2312yes—
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#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#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#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#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#383C2312yes—
1059#383C2312yes—
1060#383C2312yes—
1061#383C2312yes—
1062#383C2312yes—
1063#383C2312yes—
1064#383C2312yes—
1065#383C2311yescharacteristic
1066#383C2311yescharacteristic
1067#382C2311yescharacteristic
1068#382C2312yes—
1069#382C2312yes—
1070#382C2311yescharacteristic
1071#382C2312yes—
1072#382C2312yes—
1073#382C2312yes—
1074#382C2311yescharacteristic
1075#382C2312yes—
1076#382C2311yescharacteristic
1077#381C2312yes—
1078#381C2312yes—
1079#381C2312yes—
1080#381C2311yescharacteristic
1081#381C2311yescharacteristic
1082#381C2312yes—
1083#381C2312yes—
1084#381C2311yescharacteristic
1085#381C2311yescharacteristic
1086#381C2312yes—
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⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138#376C2312yes—
1139#376C2311yescharacteristic
1140#376C2311yescharacteristic
1141#376C2312yes—
1142#376C2312yes—
1143#376C2311yescharacteristic
1144#376C2311yescharacteristic
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C43C2311yescharacteristic
1148C43C2311yescharacteristic
1149C2×#41—24no—
1150C2×#41—42no—
1151C2×#41—42no—
1152C2×#41—44no—
1153C2×#41—82no—
1154C2×#41—82no—
1155C22×Q8—24no—
1156C22×Q8—42no—
1157C22×Q8—42no—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2412yes—
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2411yescharacteristic
1166C22×D4C2411yescharacteristic
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2411yescharacteristic
1178C22×D4C2411yescharacteristic
1179C22×D4C2411yescharacteristic
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2412yes—
1189C23×C4C2411yescharacteristic
1190C23×C4C2411yescharacteristic
1191C23×C4C2411yescharacteristic
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2411yescharacteristic
1196C23×C4C2411yescharacteristic
1197C23×C4C2411yescharacteristic
1198C23×C4C2411yescharacteristic
1199C23×C4C2411yescharacteristic
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C4⋊Q8—24no—
1208C4⋊Q8—42no—
1209C4⋊Q8—44no—
1210C4⋊Q8#4118yescomplemented
1211#127—42no—
1212#127—44no—
1213#126—28no—
1214#126—28no—
1215#126—28no—
1216#126—44no—
1217#126—82no—
1218#126—82no—
1219#126—82no—
1220#125—42no—
1221#125—82no—
1222#124—24no—
1223#124—28no—
1224#124—28no—
1225#124—24no—
1226#124—28no—
1227#124—28no—
1228#124—42no—
1229#124—44no—
1230#124—44no—
1231#124—82no—
1232#124—82no—
1233#123—28no—
1234#123—28no—
1235#123—28no—
1236#123—28no—
1237#123—44no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—82no—
1242#123—82no—
1243#123—82no—
1244C22⋊Q8—28no—
1245C22⋊Q8—28no—
1246C22⋊Q8—28no—
1247C22⋊Q8—28no—
1248C22⋊Q8—28no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—42no—
1253C22⋊Q8—82no—
1254C22⋊Q8—82no—
1255C22⋊Q8—82no—
1256C22⋊Q8—82no—
1257#121—28no—
1258#121—42no—
1259#121—42no—
1260#121—42no—
1261#121—44no—
1262#121—44no—
1263#121—44no—
1264#121—44no—
1265#121—44no—
1266#121—82no—
1267#121—82no—
1268#121—82no—
1269#121—82no—
1270#121—82no—
1271#121—82no—
1272#121—82no—
1273C4×Q8—28no—
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—44no—
1283C4×Q8—82no—
1284C4×Q8—82no—
1285C4×D4—28no—
1286C4×D4—42no—
1287C4×D4—42no—
1288C4×D4—42no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—42no—
1292C4×D4—42no—
1293C4×D4—42no—
1294C4×D4—42no—
1295C4×D4—42no—
1296C4×D4—42no—
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—42no—
1306#117—42no—
1307#117—42no—
1308#117—44no—
1309#117—44no—
1310#117—42no—
1311#117—82no—
1312C2×C4⋊C4—44no—
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⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
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×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⋊C4C2411yescharacteristic
1420C2×C22⋊C4C2411yescharacteristic
1421C2×C22⋊C4C2411yescharacteristic
1422C2×C22⋊C4C2411yescharacteristic
1423C2×C22⋊C4C2411yescharacteristic
1424C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1484C2×C42—24no—
1485C2×C42—24no—
1486C2×C42—24no—
1487C2×C42—44no—
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509C2×C42C2412yes—
1510C2×C42C2412yes—
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×C42C2411yescharacteristic
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#95C2411yescharacteristic
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2411yescharacteristic
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#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#95C2411yescharacteristic
1595#95C2411yescharacteristic
1596#95C2411yescharacteristic
1597#95C2411yescharacteristic
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625C24C2512yes—
1626C24C2512yes—
1627C24C2512yes—
1628C24C2511yescharacteristic
1629C24C2511yescharacteristic
1630C24C2511yescharacteristic
1631#41—416no—
1632#41—816no—
1633C2×Q8—24no—
1634C2×Q8—24no—
1635C2×Q8—22no—
1636C2×Q8—24no—
1637C2×Q8—24no—
1638C2×Q8—41no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—41no—
1647C2×Q8—41no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—42no—
1654C2×Q8—416no—
1655C2×Q8C2×#4114yes—
1656C2×Q8C2×#4114yes—
1657C2×D4—22no—
1658C2×D4—22no—
1659C2×D4—24no—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—24no—
1663C2×D4—22no—
1664C2×D4—22no—
1665C2×D4—22no—
1666C2×D4—24no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—41no—
1670C2×D4—41no—
1671C2×D4—41no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—41no—
1678C2×D4—42no—
1679C2×D4—41no—
1680C2×D4—41no—
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—42no—
1694C2×D4—42no—
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—
1717C22×C4—22no—
1718C22×C4—22no—
1719C22×C4—22no—
1720C22×C4—24no—
1721C22×C4—24no—
1722C22×C4—22no—
1723C22×C4—22no—
1724C22×C4—24no—
1725C22×C4—22no—
1726C22×C4—22no—
1727C22×C4—22no—
1728C22×C4—22no—
1729C22×C4—24no—
1730C22×C4—24no—
1731C22×C4—22no—
1732C22×C4—22no—
1733C22×C4—22no—
1734C22×C4—22no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—41no—
1740C22×C4—41no—
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×C4—42no—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2511yescharacteristic
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2511yescharacteristic
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2511yescharacteristic
1795C22×C4C2511yescharacteristic
1796C22×C4C2512yes—
1797C22×C4C2511yescharacteristic
1798C22×C4C2511yescharacteristic
1799C22×C4C2512yes—
1800C22×C4C2511yescharacteristic
1801C22×C4C2511yescharacteristic
1802C22×C4C2511yescharacteristic
1803C22×C4C2511yescharacteristic
1804C4⋊C4—24no—
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—41no—
1820C4⋊C4—41no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—41no—
1835C4⋊C4—41no—
1836C4⋊C4—41no—
1837C4⋊C4—41no—
1838C4⋊C4—41no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—41no—
1847C4⋊C4—41no—
1848C4⋊C4—41no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—41no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
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⋊C4C2×#4118yes—
1881C4⋊C4C2×#4118yes—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
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—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—41no—
1926C22⋊C4—41no—
1927C22⋊C4—41no—
1928C22⋊C4—41no—
1929C22⋊C4—41no—
1930C22⋊C4—41no—
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—24no—
1987C42—24no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—41no—
1994C42—41no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—42no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42C2×#4114yes—
2009C42H(5,𝔽2)14yes—
2010C23—21no—
2011C23—21no—
2012C23—22no—
2013C23—22no—
2014C23—21no—
2015C23—21no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—21no—
2023C23—21no—
2024C23—22no—
2025C23—21no—
2026C23—22no—
2027C23—22no—
2028C23—21no—
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—
2043C23—22no—
2044C23—22no—
2045C23#58512yes—
2046C23C2611yescharacteristic
2047Q8—44no—
2048Q8—44no—
2049Q8—48no—
2050Q8—48no—
2051Q8—44no—
2052Q8—84no—
2053Q8—82no—
2054Q8—162no—
2055D4—44no—
2056D4—44no—
2057D4—48no—
2058D4—44no—
2059D4—84no—
2060D4—84no—
2061D4—84no—
2062D4—84no—
2063D4—84no—
2064D4—84no—
2065D4—84no—
2066D4—82no—
2067D4—82no—
2068D4—82no—
2069D4—84no—
2070D4—84no—
2071D4—162no—
2072D4—162no—
2073D4—162no—
2074D4—162no—
2075D4—162no—
2076C2×C4—28no—
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—21no—
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—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
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—44no—
2161C2×C4—44no—
2162C2×C4—48no—
2163C2×C4—48no—
2164C2×C4—44no—
2165C2×C4—44no—
2166C2×C4—84no—
2167C2×C4—84no—
2168C2×C4—82no—
2169C2×C4—82no—
2170C2×C4—82no—
2171C2×C4—82no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—84no—
2175C2×C4—162no—
2176C2×C4—162no—
2177C2×C4—162no—
2178C2×C4—162no—
2179C2×C4C22×#4112yes—
2180C2×C4C22×#4114yes—
2181C2×C4C22×#4112yes—
2182C2×C4C22×#4114yes—
2183C2×C4C22×#4112yes—
2184C2×C4C2×H(5,𝔽2)12yes—
2185C2×C4C2×H(5,𝔽2)12yes—
2186C2×C4C2×H(5,𝔽2)12yes—
2187C22—22no—
2188C22—24no—
2189C22—42no—
2190C22—41no—
2191C22—41no—
2192C22—41no—
2193C22—41no—
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—41no—
2214C22—42no—
2215C22—42no—
2216C22—41no—
2217C22—42no—
2218C22—41no—
2219C22—41no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22C23×#4111yescharacteristic
2224C22C22×H(5,𝔽2)11yescharacteristic
2225C22C2×#58511yescharacteristic
2226C22H(7,𝔽2)12yes—
2227C222−1+612yes—
2228C4—22no—
2229C4—22no—
2230C4—22no—
2231C4—24no—
2232C4—22no—
2233C4—24no—
2234C4—22no—
2235C4—22no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—42no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C4—41no—
2250C4—41no—
2251C4—41no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—41no—
2258C4—41no—
2259C4—41no—
2260C4—42no—
2261C2—42no—
2262C2—81no—
2263C2—81no—
2264C2—82no—
2265C2—82no—
2266C2—82no—
2267C2#6277311yescharacteristic
2268C2#6285112yes—
2269C2#6287212yes—
2270C2#6287411yescharacteristic
2271C2#6288611yescharacteristic
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. #50162C2semidirect
2. #50141C2semidirect
3. #50068C2semidirect
4. #50048C2semidirect
5. #48751C2semidirect
6. #48723C2semidirect
7. #48649C2semidirect
8. #48622C2semidirect
9. #47817C2semidirect
10. #47809C2semidirect
11. #47807C2semidirect
12. #47804C2semidirect
13. #47801C2semidirect
14. #47797C2semidirect
15. #47664C2semidirect
16. #47546C2semidirect
17. #47376C2semidirect
18. #47171C2semidirect
19. #46966C2semidirect
20. #46620C2semidirect
21. #40403C2semidirect
22. #40378C2semidirect
23. #38555C2semidirect
24. #38530C2semidirect
25. #38007C2semidirect
26. #37918C2semidirect
27. #37810C2semidirect
28. #37738C2semidirect
29. #37611C2semidirect
30. #37578C2semidirect
31. #37263C2semidirect
32. #37226C2semidirect
33. #37216C2semidirect
34. #35243C2semidirect
35. #35210C2semidirect
36. #35190C2semidirect
37. #35125C2semidirect
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
#501622
#501412
#500682
#500482
#487512
#487232
#486492
#486222
#478172
#478092
#478072
#478042
#478012
#477972
#476642
#475462
#473762
#471712
#469662
#466202
#404032
#403782
#385552
#385302
#380072
#379182
#378102
#377382
#376112
#375782
#372632
#372262
#372162
#352432
#352102
#351902
#351252
#344292
C4×#5362