Finite Group Databasebeta

← #7711631

Subgroups — #7711631

Order 512.

4824 conjugacy classes of subgroups.

The subgroup lattice has 2248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59928C211yesmaximal, characteristic, complemented
2#59926C211yesmaximal, characteristic, complemented
3#59882C212yesmaximal, complemented
4#59880C211yesmaximal, characteristic, complemented
5#59878C211yesmaximal, characteristic, complemented
6#59801C212yesmaximal, complemented
7#46308C212yesmaximal, complemented
8#46292C212yesmaximal, complemented
9#46099C211yesmaximal, characteristic, complemented
10#46098C211yesmaximal, characteristic, complemented
11#46091C211yesmaximal, characteristic, complemented
12#46090C211yesmaximal, characteristic, complemented
13#40342C212yesmaximal, complemented
14#40335C212yesmaximal, complemented
15#40310C212yesmaximal, complemented
16#40302C212yesmaximal, complemented
17#38863C212yesmaximal, complemented
18#38861C212yesmaximal, complemented
19#38611C212yesmaximal, complemented
20#38608C212yesmaximal, complemented
21#38497C212yesmaximal, complemented
22#38456C212yesmaximal, complemented
23#38371C212yesmaximal, complemented
24#38369C212yesmaximal, complemented
25#37590C212yesmaximal, complemented
26#37195C211yesmaximal, characteristic, complemented
27#37192C211yesmaximal, characteristic, complemented
28#37145C211yesmaximal, characteristic, complemented
29#37142C211yesmaximal, characteristic, complemented
30#36639C211yesmaximal, characteristic, complemented
31#36638C211yesmaximal, characteristic, complemented
32#36424C212yesmaximal, complemented
33#36359C212yesmaximal, complemented
34#36352C212yesmaximal, complemented
35#36350C212yesmaximal, complemented
36#35243C212yesmaximal, complemented
37#35058C212yesmaximal, complemented
38#34447C212yesmaximal, complemented
39C2×#2295C211yesmaximal, characteristic, complemented
40C2×#552C2212yes—
41C2×#547C2212yes—
42C2×#542C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2866C2212yes—
47#2865C2212yes—
48#2864C2211yescharacteristic
49#2863C2211yescharacteristic
50#2862C2211yescharacteristic
51#2862C2211yescharacteristic
52#2861C2211yescharacteristic
53#2861C2212yes—
54#2861C2212yes—
55#2860C2211yescharacteristic
56#2858C2211yescharacteristic
57#2858C2211yescharacteristic
58#2855C2211yescharacteristic
59#2854C2212yes—
60#2854C2211yescharacteristic
61#2853C2212yes—
62#2853C2212yes—
63#2852C2212yes—
64#2852C2212yes—
65#2851C2211yescharacteristic
66#2850C2211yescharacteristic
67#2850C2212yes—
68#2850C2211yescharacteristic
69#2850C2211yescharacteristic
70#2850C2211yescharacteristic
71#2850C2212yes—
72#2850C2212yes—
73#2850C2211yescharacteristic
74#2837C2212yes—
75#2836C2212yes—
76#2832C2212yes—
77#2831C2212yes—
78#2811C2211yescharacteristic
79#2809C2211yescharacteristic
80#2808C2211yescharacteristic
81#2808C2211yescharacteristic
82#2808C2212yes—
83#2806C2211yescharacteristic
84#2806C2211yescharacteristic
85#2806C2211yescharacteristic
86#2805C2211yescharacteristic
87#2804C2211yescharacteristic
88#2804C2211yescharacteristic
89#2799C2212yes—
90#2793C2212yes—
91#2786C2212yes—
92#2781C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2773C2212yes—
96#2772C2212yes—
97#2770C2212yes—
98#2768C2212yes—
99#2766C2212yes—
100#2763C2212yes—
101#2763C2212yes—
102#2761C2212yes—
103#2759C2212yes—
104#2755C2212yes—
105#2755C2212yes—
106#2754C2212yes—
107#2751C2212yes—
108#2745C2212yes—
109#2743C2212yes—
110#2734C2212yes—
111#2733C2211yescharacteristic
112#2732C2211yescharacteristic
113#2732C2211yescharacteristic
114#2731C2212yes—
115#2730C2212yes—
116#2730C2212yes—
117#2729C2212yes—
118#2727C2211yescharacteristic
119#2725C2212yes—
120#2721C2212yes—
121#2719C2212yes—
122#2719C2212yes—
123#2717C2212yes—
124#2716C2212yes—
125#2715C2212yes—
126#2715C2212yes—
127#2713C2212yes—
128#2713C2212yes—
129#2713C2212yes—
130#2712C2212yes—
131#2712C2212yes—
132#2710C2212yes—
133#2709C2212yes—
134#2704C2212yes—
135#2700C2212yes—
136#2700C2212yes—
137#2698C2212yes—
138#2694C2212yes—
139#2690C2212yes—
140#2689C2212yes—
141#2686C2212yes—
142#2683C2211yescharacteristic
143#2682C2211yescharacteristic
144#2681C2212yes—
145#2677C2212yes—
146#2676C2212yes—
147#2674C2212yes—
148#2673C2212yes—
149#2672C2212yes—
150#2666C2212yes—
151#2666C2212yes—
152#2665C2212yes—
153#2662C2212yes—
154#2651C2212yes—
155#2651C2212yes—
156#2650C2212yes—
157#2648C2212yes—
158#2638C2212yes—
159#2637C2212yes—
160#2637C2212yes—
161#2637C2212yes—
162#2634C2212yes—
163#2632C2212yes—
164#2632C2212yes—
165#2630C2212yes—
166#2612C2212yes—
167#2612C2212yes—
168#2612C2212yes—
169#2610C2212yes—
170#2610C2212yes—
171#2610C2212yes—
172#2607C2212yes—
173#2605C2212yes—
174#2605C2212yes—
175#2605C2212yes—
176#2604C2212yes—
177#2603C2212yes—
178#2602C2212yes—
179#2601C2212yes—
180#2600C2212yes—
181#2599C2212yes—
182#2597C2212yes—
183#2595C2212yes—
184#2595C2212yes—
185#2593C2212yes—
186#2589C2212yes—
187#2588C2212yes—
188#2588C2212yes—
189#2587C2212yes—
190#2587C2212yes—
191#2586C2212yes—
192#2581C2212yes—
193#2579C2212yes—
194#2577C2212yes—
195#2575C2212yes—
196#2574C2212yes—
197#2574C2212yes—
198#2574C2212yes—
199#2574C2212yes—
200#2573C2212yes—
201#2572C2212yes—
202#2565C2212yes—
203#2564C2212yes—
204#2560C2212yes—
205#2560C2212yes—
206#2560C2212yes—
207#2560C2212yes—
208#2559C2212yes—
209#2558C2212yes—
210#2558C2212yes—
211#2558C2212yes—
212#2557C2212yes—
213#2556C2212yes—
214#2556C2212yes—
215#2556C2212yes—
216#2554C2212yes—
217#2554C2212yes—
218#2554C2212yes—
219#2553C2212yes—
220#2550C2212yes—
221#2550C2212yes—
222#2549C2212yes—
223#2549C2212yes—
224#2543C2212yes—
225#2540C2212yes—
226#2532C2212yes—
227#2532C2212yes—
228#2532C2212yes—
229#2531C2212yes—
230#2531C2212yes—
231#2531C2212yes—
232#2531C2212yes—
233#2530C2212yes—
234#2529C2212yes—
235#2529C2212yes—
236#2529C2212yes—
237#2527C2212yes—
238#2527C2212yes—
239#2527C2212yes—
240#2526C2212yes—
241#2526C2212yes—
242#2526C2212yes—
243#2526C2212yes—
244#2525C2212yes—
245#2523C2212yes—
246#2521C2212yes—
247#2520C2212yes—
248#2516C2212yes—
249#2510C2212yes—
250#2498C2212yes—
251#2498C2212yes—
252#2492C2212yes—
253#2490C2212yes—
254#2488C2212yes—
255#2488C2212yes—
256#2488C2212yes—
257#2488C2212yes—
258#2488C2212yes—
259#2484C2212yes—
260#2481C2212yes—
261#2481C2212yes—
262#2473C2212yes—
263#2470C2212yes—
264#2467C2212yes—
265#2466C2212yes—
266#2465C2212yes—
267#2465C2212yes—
268#2465C2212yes—
269#2465C2212yes—
270#2458C2212yes—
271#2458C2212yes—
272#2451C2212yes—
273#2450C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2449C2212yes—
277#2448C2212yes—
278#2444C2212yes—
279#2444C2212yes—
280#2444C2212yes—
281#2443C2212yes—
282#2443C2212yes—
283#2443C2212yes—
284#2440C2212yes—
285#2438C2212yes—
286#2438C2212yes—
287#2436C2212yes—
288#2430C2212yes—
289#2430C2212yes—
290#2430C2212yes—
291#2430C2212yes—
292#2426C2212yes—
293#2425C2212yes—
294#2425C2212yes—
295#2425C2212yes—
296#2423C2212yes—
297#2423C2212yes—
298#2419C2212yes—
299#2417C2212yes—
300#2416C2212yes—
301#2416C2212yes—
302#2413C2212yes—
303#2409C2212yes—
304#2406C2212yes—
305#2406C2212yes—
306#2379C2212yes—
307#2378C2212yes—
308#2378C2212yes—
309#2376C2212yes—
310#2373C2212yes—
311#2373C2212yes—
312#2373C2212yes—
313#2372C2212yes—
314#2372C2212yes—
315#2372C2212yes—
316#2372C2212yes—
317#2368C2212yes—
318#2368C2212yes—
319#2367C2212yes—
320#2364C2212yes—
321#2363C2212yes—
322#2360C2212yes—
323#2360C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2353C2212yes—
327#2353C2212yes—
328#2352C2212yes—
329#2346C2212yes—
330#2346C2212yes—
331#2343C2212yes—
332#2343C2212yes—
333#2343C2212yes—
334#2339C2212yes—
335#2339C2212yes—
336#2337C2212yes—
337#2335C2212yes—
338#2335C2212yes—
339#2334C2212yes—
340#2334C2212yes—
341#2333C2212yes—
342#2331C2212yes—
343#2329C2212yes—
344#2327C2212yes—
345#2326C2212yes—
346#2325C2212yes—
347#2323C2212yes—
348#2323C2212yes—
349#2322C2212yes—
350#2320C2212yes—
351C4×#125C2211yescharacteristic
352C4×#126C2212yes—
353C4×#124C2211yescharacteristic
354C4×#124C2211yescharacteristic
355C4×#124C2211yescharacteristic
356C4×#124C2211yescharacteristic
357C4×#124C2212yes—
358C4×#124C2211yescharacteristic
359C4×#124C2212yes—
360C4×C22⋊Q8C2211yescharacteristic
361C4×#123C2212yes—
362C4×#123C2212yes—
363C4×#121C2211yescharacteristic
364C4×#121C2212yes—
365#2298C2212yes—
366#2297C2212yes—
367#2297C2212yes—
368#2297C2212yes—
369#2295C2211yescharacteristic
370#2295C2211yescharacteristic
371#2295C2211yescharacteristic
372#2295C2211yescharacteristic
373#2295C2212yes—
374#2295C2211yescharacteristic
375#2295C2212yes—
376#2295C2212yes—
377#2295C2211yescharacteristic
378#2295C2212yes—
379#2295C2211yescharacteristic
380#2295C2211yescharacteristic
381#2295C2211yescharacteristic
382C2×#391C2211yescharacteristic
383C2×#391C2211yescharacteristic
384#2293C2211yescharacteristic
385C2×#389C2211yescharacteristic
386C2×#389C2211yescharacteristic
387#2290C2212yes—
388#2290C2212yes—
389C2×#387C2212yes—
390C2×#387C2212yes—
391C2×C4×C4⋊C4C2212yes—
392C2×C4×C4⋊C4C2211yescharacteristic
393C2×#376C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397C23×Q8C2311yescharacteristic
398#552—48no—
399#547—48no—
400#542—216no—
401#533—44no—
402#532—44no—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×#127C2311yescharacteristic
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#125C2311yescharacteristic
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#124C2312yes—
421C2×#124C2311yescharacteristic
422C2×#124C2311yescharacteristic
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2311yescharacteristic
451C2×C22⋊Q8C2311yescharacteristic
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2311yescharacteristic
458C2×#121C2311yescharacteristic
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×C4×Q8—28no—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C42C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2312yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509#401C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#391C2311yescharacteristic
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2312yes—
710#391C2312yes—
711#391C2311yescharacteristic
712#391C2311yescharacteristic
713#391C2312yes—
714#391C2311yescharacteristic
715#391C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2311yescharacteristic
726#390C2311yescharacteristic
727#390C2311yescharacteristic
728#390C2311yescharacteristic
729#390C2311yescharacteristic
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2311yescharacteristic
734#390C2312yes—
735#390C2312yes—
736#390C2311yescharacteristic
737#390C2312yes—
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2312yes—
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2312yes—
778#389C2311yescharacteristic
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#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#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
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#384C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#382C2311yescharacteristic
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2311yescharacteristic
1035#382C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2311yescharacteristic
1039#382C2311yescharacteristic
1040#382C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119#376C2312yes—
1120#376C2312yes—
1121#376C2312yes—
1122#376C2312yes—
1123#376C2312yes—
1124#376C2312yes—
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C43C2311yescharacteristic
1148C2×#41—28no—
1149C2×#41—44no—
1150C2×#41—44no—
1151C2×#41—44no—
1152C2×#41—44no—
1153C2×#41—44no—
1154C22×Q8—24no—
1155C22×Q8—42no—
1156C22×Q8—42no—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2411yescharacteristic
1164C22×Q8C2412yes—
1165C22×Q8C2412yes—
1166C22×Q8C2411yescharacteristic
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2411yescharacteristic
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2411yescharacteristic
1175C22×D4C2411yescharacteristic
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2412yes—
1181C23×C4C2411yescharacteristic
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2411yescharacteristic
1187C23×C4C2411yescharacteristic
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C4⋊Q8—28no—
1200C4⋊Q8—42no—
1201C4⋊Q8—42no—
1202C4⋊Q8—42no—
1203C4⋊Q8—44no—
1204#127—42no—
1205#126—28no—
1206#126—28no—
1207#126—44no—
1208#126—44no—
1209#126—44no—
1210#126—44no—
1211#125—42no—
1212#125—44no—
1213#125—44no—
1214#125—44no—
1215#125—44no—
1216#124—28no—
1217#124—28no—
1218#124—28no—
1219#124—24no—
1220#124—24no—
1221#124—44no—
1222#124—42no—
1223#124—42no—
1224#124—42no—
1225#124—44no—
1226#124—44no—
1227#123—28no—
1228#123—28no—
1229#123—28no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—44no—
1237C22⋊Q8—28no—
1238C22⋊Q8—28no—
1239C22⋊Q8—28no—
1240C22⋊Q8—42no—
1241C22⋊Q8—42no—
1242C22⋊Q8—44no—
1243C22⋊Q8—42no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251#121—28no—
1252#121—44no—
1253#121—44no—
1254#121—42no—
1255#121—44no—
1256#121—44no—
1257#121—42no—
1258#121—44no—
1259#121—42no—
1260#121—44no—
1261C4×Q8—24no—
1262C4×Q8—28no—
1263C4×Q8—24no—
1264C4×Q8—28no—
1265C4×Q8—24no—
1266C4×Q8—42no—
1267C4×Q8—44no—
1268C4×Q8—42no—
1269C4×Q8—44no—
1270C4×Q8—42no—
1271C4×Q8#4118yescomplemented
1272C4×D4—28no—
1273C4×D4—42no—
1274C4×D4—42no—
1275C4×D4—44no—
1276C4×D4—42no—
1277C4×D4—44no—
1278C4×D4—44no—
1279C4×D4—44no—
1280C4×D4—44no—
1281C4×D4—44no—
1282C4×D4—44no—
1283#117—28no—
1284#117—28no—
1285#117—28no—
1286#117—44no—
1287#117—44no—
1288C2×C4⋊C4—28no—
1289C2×C4⋊C4—28no—
1290C2×C4⋊C4—24no—
1291C2×C4⋊C4—44no—
1292C2×C4⋊C4—42no—
1293C2×C4⋊C4—44no—
1294C2×C4⋊C4—42no—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2411yescharacteristic
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×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×C42—24no—
1450C2×C42—28no—
1451C2×C42—24no—
1452C2×C42—24no—
1453C2×C42—42no—
1454C2×C42—42no—
1455C2×C42—42no—
1456C2×C42—44no—
1457C2×C42—42no—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2411yescharacteristic
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
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×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
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#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
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—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621#41—816no—
1622#41—816no—
1623C2×Q8—24no—
1624C2×Q8—22no—
1625C2×Q8—24no—
1626C2×Q8—24no—
1627C2×Q8—24no—
1628C2×Q8—22no—
1629C2×Q8—22no—
1630C2×Q8—24no—
1631C2×Q8—22no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—41no—
1636C2×Q8—41no—
1637C2×Q8—42no—
1638C2×Q8—41no—
1639C2×Q8—42no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—41no—
1643C2×Q8—42no—
1644C2×Q8—41no—
1645C2×Q8—41no—
1646C2×Q8—42no—
1647C2×Q8—41no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—416no—
1653C2×Q8C2×#4114yes—
1654C2×D4—24no—
1655C2×D4—24no—
1656C2×D4—24no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—24no—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—24no—
1663C2×D4—24no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—22no—
1670C2×D4—42no—
1671C2×D4—41no—
1672C2×D4—42no—
1673C2×D4—41no—
1674C2×D4—42no—
1675C2×D4—41no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—41no—
1679C2×D4—42no—
1680C2×D4—41no—
1681C2×D4—41no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C22×C4—22no—
1691C22×C4—22no—
1692C22×C4—22no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—22no—
1699C22×C4—22no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—22no—
1703C22×C4—22no—
1704C22×C4—24no—
1705C22×C4—24no—
1706C22×C4—24no—
1707C22×C4—24no—
1708C22×C4—24no—
1709C22×C4—22no—
1710C22×C4—24no—
1711C22×C4—22no—
1712C22×C4—22no—
1713C22×C4—22no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—24no—
1717C22×C4—24no—
1718C22×C4—24no—
1719C22×C4—24no—
1720C22×C4—41no—
1721C22×C4—41no—
1722C22×C4—41no—
1723C22×C4—41no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
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×C4H(5,𝔽2)14yes—
1750C22×C4C2511yescharacteristic
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2511yescharacteristic
1775C22×C4C2511yescharacteristic
1776C22×C4C2511yescharacteristic
1777C22×C4C2512yes—
1778C22×C4C2511yescharacteristic
1779C22×C4C2511yescharacteristic
1780C22×C4C2511yescharacteristic
1781C22×C4C2511yescharacteristic
1782C22×C4C2511yescharacteristic
1783C22×C4C2511yescharacteristic
1784C22×C4C2511yescharacteristic
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—22no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—22no—
1811C4⋊C4—22no—
1812C4⋊C4—24no—
1813C4⋊C4—41no—
1814C4⋊C4—41no—
1815C4⋊C4—41no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—41no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—41no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
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—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—41no—
1862C4⋊C4—41no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4C2×#4118yes—
1867C4⋊C4C2×#4114yes—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
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—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
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—
1939C42—22no—
1940C42—24no—
1941C42—22no—
1942C42—24no—
1943C42—22no—
1944C42—24no—
1945C42—24no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—22no—
1950C42—24no—
1951C42—24no—
1952C42—22no—
1953C42—22no—
1954C42—22no—
1955C42—24no—
1956C42—22no—
1957C42—22no—
1958C42—22no—
1959C42—22no—
1960C42—41no—
1961C42—41no—
1962C42—41no—
1963C42—41no—
1964C42—41no—
1965C42—41no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—41no—
1971C42—41no—
1972C42—41no—
1973C42—41no—
1974C42—41no—
1975C42—41no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—42no—
1987C42C2×#4118yes—
1988C42C2×#4114yes—
1989C422−1+414yes—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23C2×H(5,𝔽2)12yes—
2016C23#58512yes—
2017C23#58512yes—
2018C23C2611yescharacteristic
2019Q8—44no—
2020Q8—48no—
2021Q8—44no—
2022Q8—84no—
2023Q8—84no—
2024Q8—82no—
2025Q8—82no—
2026Q8—82no—
2027Q8—84no—
2028Q8—84no—
2029D4—48no—
2030D4—48no—
2031D4—48no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—82no—
2036D4—82no—
2037D4—82no—
2038D4—84no—
2039D4—84no—
2040D4—162no—
2041C2×C4—28no—
2042C2×C4—28no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—28no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
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—44no—
2138C2×C4—48no—
2139C2×C4—44no—
2140C2×C4—44no—
2141C2×C4—44no—
2142C2×C4—48no—
2143C2×C4—48no—
2144C2×C4—84no—
2145C2×C4—84no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—84no—
2150C2×C4—84no—
2151C2×C4—84no—
2152C2×C4—84no—
2153C2×C4—162no—
2154C2×C4C22×#4112yes—
2155C2×C4C22×#4114yes—
2156C2×C4C22×#4112yes—
2157C2×C4C22×#4114yes—
2158C2×C4C22×#4112yes—
2159C2×C4C2×H(5,𝔽2)12yes—
2160C2×C4C2×H(5,𝔽2)12yes—
2161C2×C4C2×2−1+412yes—
2162C2×C4C2×2−1+412yes—
2163C2×C4C2×2−1+412yes—
2164C2×C4#58512yes—
2165C2×C4#58512yes—
2166C22—22no—
2167C22—22no—
2168C22—22no—
2169C22—22no—
2170C22—22no—
2171C22—22no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22#354514yes—
2194C22C23×#4111yescharacteristic
2195C22C22×H(5,𝔽2)11yescharacteristic
2196C22C22×2−1+411yescharacteristic
2197C22C2×#58511yescharacteristic
2198C22C2×#58511yescharacteristic
2199C22C2×#58511yescharacteristic
2200C22C2×#58511yescharacteristic
2201C4—22no—
2202C4—22no—
2203C4—22no—
2204C4—22no—
2205C4—22no—
2206C4—24no—
2207C4—22no—
2208C4—22no—
2209C4—22no—
2210C4—24no—
2211C4—22no—
2212C4—22no—
2213C4—41no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—42no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—41no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—41no—
2229C4—42no—
2230C4—42no—
2231C4—42no—
2232C4—42no—
2233C4—41no—
2234C4—42no—
2235C4—42no—
2236C2—24no—
2237C2—82no—
2238C2—82no—
2239C2—82no—
2240C2#6275211yescharacteristic
2241C2C2×#354511yescharacteristic
2242C2#6278811yescharacteristic
2243C2#6280011yescharacteristic
2244C2#6281411yescharacteristic
2245C2#6282911yescharacteristic
2246C2#6283511yescharacteristic
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. #59928C2semidirect
2. #59926C2semidirect
3. #59882C2semidirect
4. #59880C2semidirect
5. #59878C2semidirect
6. #59801C2semidirect
7. #46308C2semidirect
8. #46292C2semidirect
9. #46099C2semidirect
10. #46098C2semidirect
11. #46091C2semidirect
12. #46090C2semidirect
13. #40342C2semidirect
14. #40335C2semidirect
15. #40310C2semidirect
16. #40302C2semidirect
17. #38863C2semidirect
18. #38861C2semidirect
19. #38611C2semidirect
20. #38608C2semidirect
21. #38497C2semidirect
22. #38456C2semidirect
23. #38371C2semidirect
24. #38369C2semidirect
25. #37590C2semidirect
26. #37195C2semidirect
27. #37192C2semidirect
28. #37145C2semidirect
29. #37142C2semidirect
30. #36639C2semidirect
31. #36638C2semidirect
32. #36424C2semidirect
33. #36359C2semidirect
34. #36352C2semidirect
35. #36350C2semidirect
36. #35243C2semidirect
37. #35058C2semidirect
38. #34447C2semidirect
39. C2×#2295C2semidirect
1271. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599282
#599262
#598822
#598802
#598782
#598012
#463082
#462922
#460992
#460982
#460912
#460902
#403422
#403352
#403102
#403022
#388632
#388612
#386112
#386082
#384972
#384562
#383712
#383692
#375902
#371952
#371922
#371452
#371422
#366392
#366382
#364242
#363592
#363522
#363502
#352432
#350582
#344472
C2×#22952