Finite Group Databasebeta

← #7696690

Subgroups — #7696690

Order 512.

4992 conjugacy classes of subgroups.

The subgroup lattice has 2194 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60031C211yesmaximal, characteristic, complemented
2#59762C212yesmaximal, complemented
3#59401C212yesmaximal, complemented
4#59389C212yesmaximal, complemented
5#59174C212yesmaximal, complemented
6#52292C211yesmaximal, characteristic, complemented
7#52243C212yesmaximal, complemented
8#44707C211yesmaximal, characteristic, complemented
9#44537C212yesmaximal, complemented
10#43914C212yesmaximal, complemented
11#43873C212yesmaximal, complemented
12#43651C212yesmaximal, complemented
13#43562C212yesmaximal, complemented
14#43473C212yesmaximal, complemented
15#43404C211yesmaximal, characteristic, complemented
16#43340C212yesmaximal, complemented
17#43214C212yesmaximal, complemented
18#40381C212yesmaximal, complemented
19#40268C212yesmaximal, complemented
20#40145C212yesmaximal, complemented
21#39933C212yesmaximal, complemented
22#38988C212yesmaximal, complemented
23#38704C212yesmaximal, complemented
24#38608C212yesmaximal, complemented
25#38161C212yesmaximal, complemented
26#37826C212yesmaximal, complemented
27#36607C211yesmaximal, characteristic, complemented
28#36500C212yesmaximal, complemented
29#35992C211yesmaximal, characteristic, complemented
30#35857C211yesmaximal, characteristic, complemented
31#35797C212yesmaximal, complemented
32#35784C212yesmaximal, complemented
33#34325C212yesmaximal, complemented
34#34287C212yesmaximal, complemented
35#34218C212yesmaximal, complemented
36C2×#553C2212yes—
37C2×#540C2212yes—
38C2×#525C2212yes—
39#2866C2212yescomplemented
40#2853C2212yescomplemented
41#2850C2212yescomplemented
42#2847C2211yescharacteristic
43#2847C2212yes—
44#2808C2212yescomplemented
45#2807C2211yescharacteristic
46#2796C2212yes—
47#2789C2212yescomplemented
48#2788C2212yes—
49#2788C2212yescomplemented
50#2787C2212yescomplemented
51#2786C2212yes—
52#2786C2212yes—
53#2786C2212yescomplemented
54#2784C2212yes—
55#2783C2212yescomplemented
56#2781C2212yes—
57#2780C2212yes—
58#2780C2212yes—
59#2778C2212yes—
60#2778C2212yes—
61#2778C2212yescomplemented
62#2774C2212yescomplemented
63#2770C2212yes—
64#2768C2212yescomplemented
65#2766C2212yescomplemented
66#2766C2212yescomplemented
67#2765C2212yes—
68#2765C2212yescomplemented
69#2765C2212yescomplemented
70#2761C2212yes—
71#2761C2212yes—
72#2760C2212yes—
73#2760C2212yes—
74#2760C2212yescomplemented
75#2751C2212yes—
76#2751C2212yescomplemented
77#2749C2212yes—
78#2749C2212yescomplemented
79#2746C2212yes—
80#2743C2212yes—
81#2737C2212yescomplemented
82#2735C2211yescharacteristic
83#2734C2211yescharacteristic, complemented
84#2725C2212yescomplemented
85#2715C2212yescomplemented
86#2714C2212yescomplemented
87#2708C2212yes—
88#2706C2212yescomplemented
89#2704C2212yes—
90#2703C2212yes—
91#2703C2212yescomplemented
92#2699C2211yescharacteristic, complemented
93#2695C2212yes—
94#2693C2211yescharacteristic
95#2693C2211yescharacteristic, complemented
96#2688C2212yes—
97#2686C2212yes—
98#2685C2212yes—
99#2684C2212yes—
100#2684C2211yescharacteristic
101#2678C2212yes—
102#2678C2212yes—
103#2678C2212yes—
104#2676C2212yes—
105#2675C2212yes—
106#2675C2211yescharacteristic, complemented
107#2673C2212yes—
108#2669C2212yes—
109#2669C2211yescharacteristic
110#2668C2211yescharacteristic
111#2665C2211yescharacteristic, complemented
112#2661C2212yes—
113#2655C2212yescomplemented
114#2653C2212yes—
115#2653C2212yes—
116#2651C2212yescomplemented
117#2648C2212yes—
118#2631C2212yes—
119#2631C2211yescharacteristic, complemented
120#2630C2212yes—
121#2610C2212yescomplemented
122#2606C2211yescharacteristic, complemented
123#2606C2212yescomplemented
124#2603C2212yes—
125#2602C2212yes—
126#2602C2212yes—
127#2600C2212yes—
128#2600C2212yes—
129#2600C2212yescomplemented
130#2597C2212yescomplemented
131#2595C2212yes—
132#2595C2212yes—
133#2594C2212yescomplemented
134#2594C2212yescomplemented
135#2594C2212yescomplemented
136#2593C2211yescharacteristic, complemented
137#2590C2212yescomplemented
138#2589C2212yes—
139#2589C2212yescomplemented
140#2587C2212yescomplemented
141#2579C2211yescharacteristic
142#2577C2212yes—
143#2576C2212yes—
144#2576C2212yes—
145#2576C2212yescomplemented
146#2576C2212yescomplemented
147#2574C2212yes—
148#2574C2212yescomplemented
149#2574C2212yescomplemented
150#2572C2211yescharacteristic, complemented
151#2569C2212yes—
152#2569C2211yescharacteristic
153#2563C2212yes—
154#2560C2212yes—
155#2559C2212yes—
156#2558C2212yescomplemented
157#2557C2212yes—
158#2557C2212yes—
159#2557C2212yes—
160#2557C2212yescomplemented
161#2556C2212yes—
162#2555C2212yes—
163#2554C2212yescomplemented
164#2544C2211yescharacteristic
165#2543C2212yes—
166#2543C2211yescharacteristic
167#2535C2212yes—
168#2535C2212yes—
169#2535C2212yescomplemented
170#2532C2212yescomplemented
171#2532C2212yescomplemented
172#2529C2212yescomplemented
173#2528C2212yescomplemented
174#2527C2212yescomplemented
175#2527C2212yescomplemented
176#2526C2212yescomplemented
177#2523C2212yescomplemented
178#2520C2212yescomplemented
179#2520C2212yescomplemented
180#2518C2212yes—
181#2517C2211yescharacteristic, complemented
182#2515C2212yescomplemented
183#2514C2212yescomplemented
184#2513C2212yescomplemented
185#2510C2212yes—
186#2510C2212yes—
187#2510C2212yes—
188#2510C2212yescomplemented
189#2508C2212yescomplemented
190#2494C2212yes—
191#2494C2212yes—
192#2494C2212yescomplemented
193#2494C2212yescomplemented
194#2493C2212yescomplemented
195#2493C2212yescomplemented
196#2492C2212yescomplemented
197#2491C2212yes—
198#2491C2212yescomplemented
199#2488C2212yescomplemented
200#2486C2212yes—
201#2484C2211yescharacteristic, complemented
202#2481C2212yescomplemented
203#2478C2212yes—
204#2478C2212yescomplemented
205#2477C2212yes—
206#2476C2212yes—
207#2476C2212yes—
208#2476C2212yes—
209#2476C2212yescomplemented
210#2475C2212yescomplemented
211#2473C2212yescomplemented
212#2471C2212yescomplemented
213#2470C2212yes—
214#2467C2212yes—
215#2467C2212yes—
216#2466C2212yes—
217#2465C2212yescomplemented
218#2464C2212yes—
219#2464C2212yes—
220#2464C2212yes—
221#2464C2212yes—
222#2464C2212yes—
223#2464C2212yescomplemented
224#2464C2212yescomplemented
225#2463C2212yes—
226#2461C2212yes—
227#2460C2212yes—
228#2460C2212yes—
229#2459C2212yes—
230#2459C2212yes—
231#2459C2212yescomplemented
232#2458C2212yescomplemented
233#2457C2212yes—
234#2457C2212yescomplemented
235#2456C2212yes—
236#2456C2212yes—
237#2456C2212yes—
238#2456C2212yes—
239#2456C2212yes—
240#2456C2212yescomplemented
241#2455C2212yes—
242#2455C2211yescharacteristic, complemented
243#2449C2212yes—
244#2447C2212yescomplemented
245#2446C2212yescomplemented
246#2444C2212yes—
247#2444C2212yes—
248#2444C2212yes—
249#2444C2212yescomplemented
250#2444C2212yescomplemented
251#2439C2212yes—
252#2431C2212yes—
253#2430C2212yes—
254#2430C2212yes—
255#2428C2212yes—
256#2428C2212yes—
257#2428C2212yes—
258#2425C2212yes—
259#2425C2212yes—
260#2425C2212yescomplemented
261#2420C2212yes—
262#2420C2212yescomplemented
263#2419C2212yescomplemented
264#2419C2212yescomplemented
265#2416C2212yes—
266#2416C2212yescomplemented
267#2414C2212yes—
268#2413C2212yescomplemented
269#2407C2212yes—
270#2401C2212yes—
271#2401C2212yes—
272#2398C2212yes—
273#2397C2211yescharacteristic
274#2396C2212yes—
275#2395C2211yescharacteristic
276#2395C2212yes—
277#2392C2212yes—
278#2392C2212yes—
279#2392C2212yes—
280#2374C2212yes—
281#2374C2212yescomplemented
282#2374C2212yescomplemented
283#2373C2212yes—
284#2373C2212yescomplemented
285#2372C2211yescharacteristic
286#2372C2211yescharacteristic, complemented
287#2371C2212yescomplemented
288#2370C2212yescomplemented
289#2370C2212yescomplemented
290#2368C2212yes—
291#2368C2212yes—
292#2367C2212yescomplemented
293#2366C2211yescharacteristic
294#2366C2212yes—
295#2366C2212yes—
296#2364C2212yes—
297#2364C2212yes—
298#2364C2212yes—
299#2364C2212yes—
300#2364C2211yescharacteristic
301#2364C2212yes—
302#2364C2212yes—
303#2364C2212yescomplemented
304#2363C2212yes—
305#2363C2212yes—
306#2363C2212yescomplemented
307#2363C2212yescomplemented
308#2361C2212yes—
309#2361C2212yes—
310#2361C2212yescomplemented
311#2361C2212yescomplemented
312#2359C2212yes—
313#2359C2212yes—
314#2359C2212yes—
315#2359C2212yes—
316#2359C2212yes—
317#2359C2212yescomplemented
318#2353C2211yescharacteristic
319#2353C2212yes—
320#2353C2212yes—
321#2353C2212yes—
322#2353C2212yescomplemented
323#2353C2212yescomplemented
324#2352C2212yes—
325#2349C2212yes—
326#2349C2212yes—
327#2347C2211yescharacteristic, complemented
328#2345C2212yescomplemented
329#2343C2212yes—
330#2343C2212yes—
331#2343C2212yescomplemented
332#2339C2212yes—
333#2339C2212yes—
334#2336C2212yescomplemented
335#2335C2212yes—
336#2335C2212yes—
337#2335C2212yescomplemented
338#2334C2212yescomplemented
339#2333C2212yes—
340#2333C2212yes—
341#2333C2212yescomplemented
342#2329C2212yes—
343#2329C2212yes—
344#2325C2212yes—
345#2325C2212yes—
346#2325C2212yes—
347#2325C2212yescomplemented
348#2319C2212yescomplemented
349#2318C2212yes—
350#2318C2212yes—
351C4×#126C2212yes—
352C4×#124C2212yes—
353C4×#123C2212yes—
354C4×#123C2212yes—
355C4×#123C2212yescomplemented
356C4×#123C2212yescomplemented
357C4×#121C2212yes—
358C4×#121C2212yes—
359C4×#121C2212yes—
360C4×#121C2212yescomplemented
361C4×#120C2212yes—
362C4×#120C2212yes—
363C4×#120C2212yes—
364C4×#120C2211yescharacteristic
365C4×#120C2212yes—
366C4×#120C2212yes—
367#2298C2212yescomplemented
368#2298C2212yescomplemented
369#2293C2212yes—
370#2290C2212yes—
371C2×#387C2212yescomplemented
372#2280C2212yes—
373#2275C2212yes—
374#2275C2212yes—
375#2275C2211yescharacteristic, complemented
376#2274C2211yescharacteristic, complemented
377C42×D4C2212yescomplemented
378C22×#95C2211yescharacteristic
379C22×#41C2312yes—
380C24×C4C2312yes—
381C24×C4C2311yescharacteristic
382#553—216no—
383#540—216no—
384C2×C4⋊Q8C2312yes—
385C2×#127C2312yes—
386C2×#127C2311yescharacteristic
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#124C2312yes—
393C2×#124C2311yescharacteristic
394C2×#124C2311yescharacteristic
395C2×#124C2312yes—
396C2×#124C2312yes—
397#525—216no—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C42C2312yes—
484C22×C42C2312yes—
485#401C2312yes—
486#401C2312yes—
487#401C2312yes—
488#401C2312yes—
489#401C2312yes—
490#401C2312yes—
491#401C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2311yescharacteristic
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2311yescharacteristic
513#399C2311yescharacteristic
514#399C2311yescharacteristic
515#398C2312yes—
516#398C2312yes—
517#398C2311yescharacteristic
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2311yescharacteristic
533#398C2312yes—
534#398C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2311yescharacteristic
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2311yescharacteristic
563#397C2312yes—
564#397C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2312yes—
584#395C2312yes—
585#394C2312yes—
586#394C2311yescharacteristic
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#393C2312yes—
615#393C2312yes—
616#393C2312yes—
617#393C2312yes—
618#393C2312yes—
619#393C2312yes—
620#393C2312yes—
621#393C2312yes—
622#393C2312yes—
623#393C2312yes—
624#393C2312yes—
625#392C2312yes—
626#392C2312yes—
627#392C2312yes—
628#392C2312yes—
629#392C2312yes—
630#392C2312yes—
631#392C2312yes—
632#392C2312yes—
633#392C2312yes—
634#392C2312yes—
635#392C2312yes—
636#392C2312yes—
637#392C2312yes—
638#392C2311yescharacteristic
639#392C2311yescharacteristic
640#392C2312yes—
641#392C2312yes—
642#392C2312yes—
643#392C2312yes—
644#392C2312yes—
645#392C2311yescharacteristic
646#392C2312yes—
647#391C2312yes—
648#391C2311yescharacteristic
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2311yescharacteristic
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#387C2312yes—
780#387C2312yes—
781#387C2312yes—
782#387C2312yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#386C2312yes—
847#386C2312yes—
848#386C2312yes—
849#386C2312yes—
850#386C2312yes—
851#386C2312yes—
852#386C2311yescharacteristic
853#386C2312yes—
854#386C2312yes—
855#386C2312yes—
856#386C2312yes—
857#386C2312yes—
858#386C2312yes—
859#386C2312yes—
860#386C2311yescharacteristic
861#386C2312yes—
862#386C2312yes—
863#386C2312yes—
864#386C2312yes—
865#386C2312yes—
866#386C2312yes—
867#386C2312yes—
868#386C2312yes—
869#386C2312yes—
870#386C2312yes—
871#386C2312yes—
872#386C2312yes—
873#386C2312yes—
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2311yescharacteristic
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2311yescharacteristic
930#385C2311yescharacteristic
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2311yescharacteristic
956#383C2312yes—
957#383C2312yes—
958#383C2312yes—
959#383C2312yes—
960#383C2312yes—
961#383C2311yescharacteristic
962#382C2312yes—
963#382C2312yes—
964#382C2312yes—
965#382C2312yes—
966#382C2312yes—
967#382C2312yes—
968#382C2312yes—
969#382C2312yes—
970#381C2312yes—
971#381C2312yes—
972#381C2312yes—
973#381C2312yes—
974#381C2312yes—
975#381C2312yes—
976#381C2312yes—
977#381C2312yes—
978#381C2312yes—
979#381C2312yes—
980#381C2312yes—
981#381C2312yes—
982#381C2312yes—
983#381C2311yescharacteristic
984#380C2312yes—
985#380C2312yes—
986#380C2312yes—
987#380C2312yes—
988#380C2312yes—
989#380C2311yescharacteristic
990#380C2312yes—
991#380C2312yes—
992#380C2312yes—
993#380C2312yes—
994#380C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2311yescharacteristic
998#380C2312yes—
999#380C2312yes—
1000#380C2312yes—
1001#380C2312yes—
1002#380C2312yes—
1003#380C2312yes—
1004#379C2311yescharacteristic
1005#379C2312yes—
1006#379C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2312yes—
1009C4×C4⋊C4C2312yes—
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2311yescharacteristic
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C22⋊C4C2312yes—
1034C4×C22⋊C4C2312yes—
1035C4×C22⋊C4C2312yes—
1036C4×C22⋊C4C2312yes—
1037C4×C22⋊C4C2311yescharacteristic
1038C4×C22⋊C4C2312yes—
1039C4×C22⋊C4C2312yes—
1040C4×C22⋊C4C2312yes—
1041C4×C22⋊C4C2312yes—
1042C4×C22⋊C4C2312yes—
1043C4×C22⋊C4C2312yes—
1044C4×C22⋊C4C2312yes—
1045C4×C22⋊C4C2312yes—
1046C4×C22⋊C4C2312yes—
1047C4×C22⋊C4C2312yes—
1048C4×C22⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2311yescharacteristic
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2311yescharacteristic
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082#376C2312yes—
1083#376C2312yes—
1084#376C2312yes—
1085#376C2311yescharacteristic
1086#376C2311yescharacteristic
1087#376C2312yes—
1088C2×#95C2312yes—
1089C2×#95C2311yescharacteristic
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C43C2312yes—
1101C25C2411yescharacteristic
1102C2×#41—28no—
1103C2×#41—82no—
1104C2×#41—82no—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2411yescharacteristic
1130C22×D4C2412yes—
1131C23×C4—28no—
1132C23×C4—42no—
1133C23×C4—82no—
1134C23×C4—82no—
1135C23×C4—82no—
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2411yescharacteristic
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2411yescharacteristic
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2411yescharacteristic
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C4⋊Q8—82no—
1163#127—28no—
1164#127—42no—
1165#126—28no—
1166#126—28no—
1167#126—82no—
1168#125—28no—
1169#125—28no—
1170#124—44no—
1171#124—42no—
1172#124—44no—
1173#124—42no—
1174#124—82no—
1175#123—28no—
1176#123—28no—
1177#123—28no—
1178#123—28no—
1179#123—28no—
1180#123—44no—
1181#123—44no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186#123#41116yescomplemented
1187C22⋊Q8—28no—
1188C22⋊Q8—28no—
1189C22⋊Q8—82no—
1190#121—28no—
1191#121—28no—
1192#121—28no—
1193#121—28no—
1194#121—28no—
1195#121—28no—
1196#121—28no—
1197#121—28no—
1198#121—28no—
1199#121—28no—
1200#121—28no—
1201#121—28no—
1202#121—42no—
1203#121—44no—
1204#121—44no—
1205#121—82no—
1206#121—82no—
1207#121—82no—
1208#121—82no—
1209#121—82no—
1210#121—82no—
1211#121—82no—
1212#120—28no—
1213#120—28no—
1214#120—44no—
1215#120—42no—
1216C4×Q8—82no—
1217C4×D4—28no—
1218C4×D4—28no—
1219C4×D4—28no—
1220C4×D4—28no—
1221C4×D4—28no—
1222C4×D4—28no—
1223C4×D4—28no—
1224C4×D4—28no—
1225C4×D4—28no—
1226C4×D4—28no—
1227C4×D4—44no—
1228C4×D4—42no—
1229C4×D4—42no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—82no—
1233C4×D4—82no—
1234C4×D4—82no—
1235C4×D4—82no—
1236C4×D4—82no—
1237C4×D4—82no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4—82no—
1243C4×D4—82no—
1244C4×D4—82no—
1245C4×D4—82no—
1246C4×D4—82no—
1247C4×D4—82no—
1248C4×D4—82no—
1249C4×D4—82no—
1250#117—28no—
1251#117—28no—
1252#117—28no—
1253#117—42no—
1254#117—82no—
1255#117—82no—
1256#117—82no—
1257C2×C4⋊C4—28no—
1258C2×C4⋊C4—42no—
1259C2×C4⋊C4—82no—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2411yescharacteristic
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×C42—82no—
1414C2×C42—82no—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2411yescharacteristic
1451#95C2412yes—
1452#95C2411yescharacteristic
1453#95C2412yes—
1454#95C2411yescharacteristic
1455#95C2411yescharacteristic
1456#95C2412yes—
1457#95C2412yes—
1458#95C2411yescharacteristic
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2411yescharacteristic
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2411yescharacteristic
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2411yescharacteristic
1500#95C2412yes—
1501#95C2411yescharacteristic
1502#95C2411yescharacteristic
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552C24—24no—
1553C24—22no—
1554C24—41no—
1555C24—42no—
1556C24—41no—
1557C24C2512yes—
1558C24C2512yes—
1559C24C2511yescharacteristic
1560C24C2512yes—
1561C24C2512yes—
1562C24C2511yescharacteristic
1563#41—816no—
1564C2×Q8—24no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×Q8—41no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—22no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—41no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—41no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—41no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—41no—
1635C2×D4—41no—
1636C2×D4—42no—
1637C2×D4—41no—
1638C2×D4—41no—
1639C2×D4C2×#4118yes—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—24no—
1651C22×C4—24no—
1652C22×C4—24no—
1653C22×C4—24no—
1654C22×C4—24no—
1655C22×C4—24no—
1656C22×C4—22no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—22no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—41no—
1706C22×C4—42no—
1707C22×C4—41no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—816no—
1713C22×C4—88no—
1714C22×C4C2×#4118yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2511yescharacteristic
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2511yescharacteristic
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4C2×#4118yes—
1805C4⋊C4C2×#4118yes—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—22no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—41no—
1841C22⋊C4—41no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—41no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—41no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—41no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4C2×#4118yes—
1895C22⋊C4C2×#4118yes—
1896C22⋊C4C2×#4118yes—
1897C42—24no—
1898C42—24no—
1899C42—24no—
1900C42—24no—
1901C42—24no—
1902C42—24no—
1903C42—24no—
1904C42—24no—
1905C42—22no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—41no—
1928C42—42no—
1929C42—41no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—21no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—21no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—21no—
1954C23—22no—
1955C23—22no—
1956C23—21no—
1957C23—22no—
1958C23—22no—
1959C23—21no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—48no—
1966C23—44no—
1967C23—48no—
1968C23—44no—
1969C23—44no—
1970C23C22×#4114yes—
1971C23C22×#4114yes—
1972C23#58512yes—
1973C23C2611yescharacteristic
1974Q8—84no—
1975Q8—84no—
1976Q8—161no—
1977D4—48no—
1978D4—48no—
1979D4—48no—
1980D4—48no—
1981D4—48no—
1982D4—44no—
1983D4—48no—
1984D4—48no—
1985D4—84no—
1986D4—84no—
1987D4—84no—
1988D4—84no—
1989D4—84no—
1990D4—84no—
1991D4—84no—
1992D4—84no—
1993D4—84no—
1994D4—82no—
1995D4—84no—
1996D4—84no—
1997D4—84no—
1998D4—161no—
1999D4—161no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—21no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—48no—
2078C2×C4—44no—
2079C2×C4—48no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—82no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—84no—
2089C2×C4—82no—
2090C2×C4—84no—
2091C2×C4—84no—
2092C2×C4—84no—
2093C2×C4—84no—
2094C2×C4—84no—
2095C2×C4—84no—
2096C2×C4—84no—
2097C2×C4—84no—
2098C2×C4—84no—
2099C2×C4—82no—
2100C2×C4—84no—
2101C2×C4—162no—
2102C2×C4—161no—
2103C2×C4C22×#4114yes—
2104C2×C4C22×#4114yes—
2105C2×C4C22×#4114yes—
2106C2×C4C22×#4114yes—
2107C2×C4C22×#4114yes—
2108C2×C4#58512yes—
2109C22—24no—
2110C22—24no—
2111C22—24no—
2112C22—24no—
2113C22—24no—
2114C22—22no—
2115C22—24no—
2116C22—24no—
2117C22—416no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—41no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—41no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—41no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—41no—
2145C22—41no—
2146C22—42no—
2147C22—42no—
2148C22C23×#4112yes—
2149C22C2×#58511yescharacteristic
2150C22C2×#58511yescharacteristic
2151C22H(7,𝔽2)12yes—
2152C22H(7,𝔽2)11yescharacteristic
2153C4—24no—
2154C4—22no—
2155C4—24no—
2156C4—24no—
2157C4—24no—
2158C4—24no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—41no—
2166C4—42no—
2167C4—42no—
2168C4—41no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—41no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—41no—
2182C2—44no—
2183C2—42no—
2184C2—44no—
2185C2—82no—
2186C2—82no—
2187C2—81no—
2188C2#41211yescharacteristic
2189C2#6284612yes—
2190C2#6293511yescharacteristic
2191C2#6300812yes—
2192C2#6304211yescharacteristic
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. #60031C2semidirect
2. #59762C2semidirect
3. #59401C2semidirect
4. #59389C2semidirect
5. #59174C2semidirect
6. #52292C2semidirect
7. #52243C2semidirect
8. #44707C2semidirect
9. #44537C2semidirect
10. #43914C2semidirect
11. #43873C2semidirect
12. #43651C2semidirect
13. #43562C2semidirect
14. #43473C2semidirect
15. #43404C2semidirect
16. #43340C2semidirect
17. #43214C2semidirect
18. #40381C2semidirect
19. #40268C2semidirect
20. #40145C2semidirect
21. #39933C2semidirect
22. #38988C2semidirect
23. #38704C2semidirect
24. #38608C2semidirect
25. #38161C2semidirect
26. #37826C2semidirect
27. #36607C2semidirect
28. #36500C2semidirect
29. #35992C2semidirect
30. #35857C2semidirect
31. #35797C2semidirect
32. #35784C2semidirect
33. #34325C2semidirect
34. #34287C2semidirect
35. #34218C2semidirect
39. #2866C22semidirect
40. #2853C22semidirect
41. #2850C22semidirect
44. #2808C22semidirect
47. #2789C22semidirect
49. #2788C22semidirect
50. #2787C22semidirect
53. #2786C22semidirect
55. #2783C22semidirect
61. #2778C22semidirect
62. #2774C22semidirect
64. #2768C22semidirect
65. #2766C22semidirect
66. #2766C22semidirect
68. #2765C22semidirect
69. #2765C22semidirect
74. #2760C22semidirect
76. #2751C22semidirect
78. #2749C22semidirect
81. #2737C22semidirect
83. #2734C22semidirect
84. #2725C22semidirect
85. #2715C22semidirect
86. #2714C22semidirect
88. #2706C22semidirect
91. #2703C22semidirect
92. #2699C22semidirect
95. #2693C22semidirect
106. #2675C22semidirect
111. #2665C22semidirect
113. #2655C22semidirect
116. #2651C22semidirect
119. #2631C22semidirect
121. #2610C22semidirect
122. #2606C22semidirect
123. #2606C22semidirect
129. #2600C22semidirect
130. #2597C22semidirect
133. #2594C22semidirect
134. #2594C22semidirect
135. #2594C22semidirect
136. #2593C22semidirect
137. #2590C22semidirect
139. #2589C22semidirect
140. #2587C22semidirect
145. #2576C22semidirect
146. #2576C22semidirect
148. #2574C22semidirect
149. #2574C22semidirect
150. #2572C22semidirect
156. #2558C22semidirect
160. #2557C22semidirect
163. #2554C22semidirect
169. #2535C22semidirect
170. #2532C22semidirect
171. #2532C22semidirect
172. #2529C22semidirect
173. #2528C22semidirect
174. #2527C22semidirect
175. #2527C22semidirect
176. #2526C22semidirect
177. #2523C22semidirect
178. #2520C22semidirect
179. #2520C22semidirect
181. #2517C22semidirect
182. #2515C22semidirect
183. #2514C22semidirect
184. #2513C22semidirect
188. #2510C22semidirect
189. #2508C22semidirect
192. #2494C22semidirect
193. #2494C22semidirect
194. #2493C22semidirect
195. #2493C22semidirect
196. #2492C22semidirect
198. #2491C22semidirect
199. #2488C22semidirect
201. #2484C22semidirect
202. #2481C22semidirect
204. #2478C22semidirect
209. #2476C22semidirect
210. #2475C22semidirect
211. #2473C22semidirect
212. #2471C22semidirect
217. #2465C22semidirect
223. #2464C22semidirect
224. #2464C22semidirect
231. #2459C22semidirect
232. #2458C22semidirect
234. #2457C22semidirect
240. #2456C22semidirect
242. #2455C22semidirect
244. #2447C22semidirect
245. #2446C22semidirect
249. #2444C22semidirect
250. #2444C22semidirect
260. #2425C22semidirect
262. #2420C22semidirect
263. #2419C22semidirect
264. #2419C22semidirect
266. #2416C22semidirect
268. #2413C22semidirect
281. #2374C22semidirect
282. #2374C22semidirect
284. #2373C22semidirect
286. #2372C22semidirect
287. #2371C22semidirect
288. #2370C22semidirect
289. #2370C22semidirect
292. #2367C22semidirect
303. #2364C22semidirect
306. #2363C22semidirect
307. #2363C22semidirect
310. #2361C22semidirect
311. #2361C22semidirect
317. #2359C22semidirect
322. #2353C22semidirect
323. #2353C22semidirect
327. #2347C22semidirect
328. #2345C22semidirect
331. #2343C22semidirect
334. #2336C22semidirect
337. #2335C22semidirect
338. #2334C22semidirect
341. #2333C22semidirect
347. #2325C22semidirect
348. #2319C22semidirect
355. C4×#123C22semidirect
356. C4×#123C22semidirect
360. C4×#121C22semidirect
367. #2298C22semidirect
368. #2298C22semidirect
371. C2×#387C22semidirect
375. #2275C22semidirect
376. #2274C22semidirect
377. C42×D4C22semidirect
1186. #123#41semidirect

Maximal subgroups

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

subgroupindex
#600312
#597622
#594012
#593892
#591742
#522922
#522432
#447072
#445372
#439142
#438732
#436512
#435622
#434732
#434042
#433402
#432142
#403812
#402682
#401452
#399332
#389882
#387042
#386082
#381612
#378262
#366072
#365002
#359922
#358572
#357972
#357842
#343252
#342872
#342182