Finite Group Databasebeta

← #9523987

Subgroups — #9523987

Order 512.

4401 conjugacy classes of subgroups.

The subgroup lattice has 2174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57992C212yesmaximal, complemented
2#57164C212yesmaximal, complemented
3#57080C212yesmaximal, complemented
4#56602C212yesmaximal, complemented
5#56598C212yesmaximal, complemented
6#56282C212yesmaximal, complemented
7#56039C212yesmaximal, complemented
8#55838C212yesmaximal, complemented
9#55512C212yesmaximal, complemented
10#55185C212yesmaximal, complemented
11#55080C212yesmaximal, complemented
12#53991C212yesmaximal, complemented
13#53219C211yesmaximal, characteristic, complemented
14#52823C212yesmaximal, complemented
15#51982C212yesmaximal, complemented
16#51746C212yesmaximal, complemented
17#51682C212yesmaximal, complemented
18#50831C212yesmaximal, complemented
19#48570C212yesmaximal, complemented
20#47300C212yesmaximal, complemented
21#46357C212yesmaximal, complemented
22#46133C211yesmaximal, characteristic, complemented
23#43833C212yesmaximal, complemented
24#43655C212yesmaximal, complemented
25#43370C212yesmaximal, complemented
26#42786C212yesmaximal, complemented
27#42109C212yesmaximal, complemented
28#41825C212yesmaximal, complemented
29#41812C212yesmaximal, complemented
30#41148C212yesmaximal, complemented
31#39551C211yesmaximal, characteristic, complemented
32#39124C211yesmaximal, characteristic, complemented
33#37754C211yesmaximal, characteristic, complemented
34#37209C211yesmaximal, characteristic, complemented
35#36765C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#543C2211yescharacteristic
39C2×#536C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2841C2212yes—
46#2839C2212yescomplemented
47#2837C2212yescomplemented
48#2832C2212yes—
49#2831C2212yes—
50#2831C2212yescomplemented
51#2831C2212yescomplemented
52#2830C2212yescomplemented
53#2829C2212yes—
54#2828C2212yes—
55#2828C2212yes—
56#2828C2212yes—
57#2824C2212yes—
58#2824C2212yescomplemented
59#2822C2211yescharacteristic, complemented
60#2820C2211yescharacteristic, complemented
61#2817C2212yes—
62#2816C2212yes—
63#2814C2212yes—
64#2814C2212yes—
65#2810C2211yescharacteristic, complemented
66#2808C2211yescharacteristic, complemented
67#2808C2212yescomplemented
68#2806C2211yescharacteristic, complemented
69#2805C2211yescharacteristic, complemented
70#2803C2212yes—
71#2801C2212yes—
72#2800C2212yes—
73#2800C2212yes—
74#2800C2212yescomplemented
75#2799C2212yescomplemented
76#2799C2212yescomplemented
77#2798C2212yes—
78#2798C2212yescomplemented
79#2797C2212yes—
80#2794C2212yescomplemented
81#2793C2212yes—
82#2786C2212yes—
83#2784C2212yescomplemented
84#2783C2212yescomplemented
85#2779C2212yes—
86#2779C2212yes—
87#2779C2212yescomplemented
88#2778C2212yes—
89#2778C2212yes—
90#2777C2212yes—
91#2776C2212yescomplemented
92#2775C2212yes—
93#2775C2212yescomplemented
94#2770C2212yescomplemented
95#2767C2212yescomplemented
96#2762C2212yescomplemented
97#2761C2212yes—
98#2761C2212yescomplemented
99#2759C2212yescomplemented
100#2759C2212yescomplemented
101#2759C2212yescomplemented
102#2758C2212yescomplemented
103#2758C2212yescomplemented
104#2756C2212yes—
105#2756C2212yes—
106#2756C2212yes—
107#2754C2212yes—
108#2749C2212yes—
109#2749C2212yes—
110#2748C2212yescomplemented
111#2747C2212yes—
112#2747C2212yescomplemented
113#2745C2212yes—
114#2743C2212yes—
115#2742C2212yes—
116#2742C2212yescomplemented
117#2740C2212yes—
118#2740C2212yescomplemented
119#2738C2212yes—
120#2738C2212yescomplemented
121#2737C2212yes—
122#2737C2212yes—
123#2734C2212yescomplemented
124#2734C2212yescomplemented
125#2734C2211yescharacteristic, complemented
126#2733C2211yescharacteristic, complemented
127#2731C2212yes—
128#2731C2212yes—
129#2730C2212yes—
130#2730C2212yes—
131#2730C2212yes—
132#2730C2212yes—
133#2729C2212yescomplemented
134#2729C2212yescomplemented
135#2728C2212yes—
136#2728C2212yes—
137#2726C2211yescharacteristic, complemented
138#2723C2212yes—
139#2723C2212yescomplemented
140#2723C2212yescomplemented
141#2718C2212yes—
142#2718C2212yescomplemented
143#2717C2212yes—
144#2715C2212yes—
145#2715C2212yescomplemented
146#2714C2212yescomplemented
147#2713C2212yescomplemented
148#2713C2212yescomplemented
149#2712C2212yes—
150#2712C2212yes—
151#2709C2212yes—
152#2708C2212yes—
153#2706C2212yes—
154#2705C2212yes—
155#2703C2212yes—
156#2703C2212yes—
157#2702C2212yes—
158#2702C2212yescomplemented
159#2700C2212yes—
160#2700C2212yes—
161#2700C2212yes—
162#2700C2212yescomplemented
163#2699C2212yes—
164#2698C2212yescomplemented
165#2697C2212yes—
166#2696C2212yes—
167#2696C2212yes—
168#2696C2212yes—
169#2696C2212yes—
170#2696C2212yes—
171#2696C2212yes—
172#2695C2212yescomplemented
173#2694C2212yes—
174#2693C2212yescomplemented
175#2692C2212yes—
176#2692C2212yes—
177#2692C2212yes—
178#2692C2212yescomplemented
179#2690C2212yes—
180#2690C2212yes—
181#2688C2212yes—
182#2687C2212yes—
183#2687C2212yes—
184#2687C2212yes—
185#2686C2212yes—
186#2683C2211yescharacteristic, complemented
187#2680C2212yes—
188#2678C2212yes—
189#2677C2212yes—
190#2677C2212yes—
191#2676C2212yes—
192#2676C2212yes—
193#2674C2212yescomplemented
194#2673C2212yes—
195#2673C2212yes—
196#2671C2212yes—
197#2671C2212yes—
198#2671C2212yescomplemented
199#2670C2212yes—
200#2669C2212yes—
201#2666C2212yescomplemented
202#2663C2212yescomplemented
203#2663C2212yescomplemented
204#2663C2212yescomplemented
205#2662C2212yescomplemented
206#2653C2212yescomplemented
207#2651C2212yes—
208#2649C2212yes—
209#2648C2212yes—
210#2648C2212yes—
211#2648C2212yes—
212#2648C2212yescomplemented
213#2641C2212yes—
214#2639C2211yescharacteristic
215#2639C2212yescomplemented
216#2639C2212yescomplemented
217#2635C2212yes—
218#2635C2212yes—
219#2632C2212yes—
220#2630C2212yescomplemented
221#2630C2212yescomplemented
222#2628C2212yescomplemented
223#2628C2212yescomplemented
224#2626C2211yescharacteristic
225#2618C2211yescharacteristic
226#2617C2211yescharacteristic
227#2617C2211yescharacteristic
228#2617C2211yescharacteristic
229#2616C2212yes—
230#2612C2212yescomplemented
231#2610C2212yes—
232#2605C2212yescomplemented
233#2602C2212yes—
234#2602C2212yes—
235#2599C2212yes—
236#2599C2212yescomplemented
237#2597C2212yescomplemented
238#2596C2212yes—
239#2595C2212yescomplemented
240#2594C2212yes—
241#2578C2212yescomplemented
242#2578C2212yescomplemented
243#2578C2212yescomplemented
244#2575C2212yes—
245#2575C2212yescomplemented
246#2575C2212yescomplemented
247#2574C2212yes—
248#2574C2212yescomplemented
249#2572C2212yescomplemented
250#2569C2212yescomplemented
251#2563C2212yes—
252#2561C2212yes—
253#2558C2212yes—
254#2557C2212yes—
255#2557C2212yes—
256#2557C2212yescomplemented
257#2555C2212yes—
258#2549C2212yescomplemented
259#2547C2211yescharacteristic, complemented
260#2540C2212yes—
261#2538C2212yes—
262#2537C2211yescharacteristic, complemented
263#2536C2212yescomplemented
264#2535C2212yes—
265#2533C2212yescomplemented
266#2532C2212yes—
267#2532C2212yescomplemented
268#2532C2212yescomplemented
269#2531C2212yes—
270#2531C2212yes—
271#2531C2212yes—
272#2531C2212yescomplemented
273#2530C2212yescomplemented
274#2529C2212yes—
275#2528C2212yescomplemented
276#2526C2212yescomplemented
277#2523C2212yes—
278#2523C2212yescomplemented
279#2523C2212yescomplemented
280#2521C2212yescomplemented
281#2518C2212yes—
282#2518C2212yes—
283#2516C2212yes—
284#2515C2212yes—
285#2511C2212yescomplemented
286#2510C2212yes—
287#2499C2212yescomplemented
288#2498C2212yes—
289#2493C2212yescomplemented
290#2492C2212yes—
291#2492C2212yes—
292#2492C2212yescomplemented
293#2491C2212yescomplemented
294#2491C2212yescomplemented
295#2489C2212yescomplemented
296#2488C2212yes—
297#2488C2212yes—
298#2485C2212yescomplemented
299#2481C2212yes—
300#2479C2212yes—
301#2477C2212yes—
302#2477C2212yes—
303#2477C2212yes—
304#2477C2212yes—
305#2477C2212yes—
306#2477C2212yescomplemented
307#2476C2212yescomplemented
308#2476C2212yescomplemented
309#2476C2212yescomplemented
310#2472C2212yes—
311#2472C2212yes—
312#2471C2212yescomplemented
313#2469C2212yescomplemented
314#2467C2212yes—
315#2465C2212yescomplemented
316#2464C2212yescomplemented
317#2463C2212yes—
318#2462C2212yescomplemented
319#2461C2212yes—
320#2461C2212yes—
321#2460C2212yescomplemented
322#2459C2212yes—
323#2458C2212yes—
324#2457C2212yes—
325#2457C2212yes—
326#2450C2212yes—
327#2449C2212yes—
328#2445C2212yes—
329#2444C2212yescomplemented
330#2438C2212yescomplemented
331#2436C2212yescomplemented
332#2432C2212yes—
333#2431C2212yes—
334#2430C2212yes—
335#2429C2212yes—
336#2429C2212yescomplemented
337#2427C2212yes—
338#2427C2212yes—
339#2425C2212yes—
340#2423C2212yescomplemented
341#2421C2212yes—
342#2418C2212yes—
343#2418C2212yes—
344#2418C2212yes—
345#2415C2212yes—
346#2412C2212yes—
347#2411C2212yes—
348#2409C2212yes—
349#2409C2212yes—
350#2409C2212yescomplemented
351#2404C2212yes—
352#2402C2212yescomplemented
353#2398C2212yes—
354#2388C2212yes—
355#2379C2211yescharacteristic, complemented
356#2378C2212yescomplemented
357#2374C2212yes—
358#2373C2212yescomplemented
359#2368C2212yescomplemented
360#2364C2212yes—
361#2363C2212yes—
362#2359C2212yes—
363#2358C2212yes—
364#2355C2211yescharacteristic, complemented
365#2353C2212yes—
366Q8×C22⋊C4C2212yescomplemented
367#2337C2212yes—
368#2335C2212yes—
369#2332C2212yes—
370#2332C2212yescomplemented
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2325C2211yescharacteristic
374#2324C2212yescomplemented
375#2316C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C2×#388C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#562—44no—
382D4×Q8—44no—
383#543—44no—
384#536—48no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×#127C2312yes—
391#529—44no—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#124C2311yescharacteristic
399C2×#124C2311yescharacteristic
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C42C2311yescharacteristic
475#401C2312yes—
476#401C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
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#396C2312yes—
610#396C2312yes—
611#396C2312yes—
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#395C2312yes—
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#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2311yescharacteristic
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2312yes—
760#390C2311yescharacteristic
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
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#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
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#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#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#384C2311yescharacteristic
1015#384C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2311yescharacteristic
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#379C2312yes—
1065#379C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—44no—
1105C2×#41—82no—
1106C2×#41—82no—
1107C22×Q8—28no—
1108C22×Q8—82no—
1109C22×Q8—82no—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C4⋊Q8—42no—
1155C4⋊Q8—44no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158C4⋊Q8—82no—
1159#127—82no—
1160#126—44no—
1161#126—44no—
1162#126—82no—
1163#125—42no—
1164#125—42no—
1165#125—82no—
1166#124—24no—
1167#124—42no—
1168#124—44no—
1169#124—44no—
1170#124—44no—
1171#124—82no—
1172#124—82no—
1173#124—82no—
1174#124—82no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—82no—
1186C22⋊Q8—24no—
1187C22⋊Q8—28no—
1188C22⋊Q8—28no—
1189C22⋊Q8—42no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—42no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206C22⋊Q8—82no—
1207#121—44no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—42no—
1212#121—44no—
1213#121—42no—
1214#121—42no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#120—44no—
1219#120—82no—
1220#120—82no—
1221C4×Q8—24no—
1222C4×Q8—82no—
1223C4×Q8—82no—
1224C4×D4—44no—
1225C4×D4—42no—
1226C4×D4—42no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—82no—
1230C4×D4—82no—
1231C4×D4—82no—
1232C4×D4—82no—
1233#117—44no—
1234#117—44no—
1235#117—82no—
1236#117—82no—
1237C2×C4⋊C4—42no—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C22⋊C4—42no—
1317C2×C22⋊C4—44no—
1318C2×C22⋊C4—42no—
1319C2×C22⋊C4—42no—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊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⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C42—42no—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2411yescharacteristic
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541C24—22no—
1542C24—41no—
1543C24—41no—
1544C24—41no—
1545C24—41no—
1546C24—41no—
1547C24—41no—
1548C24C2512yes—
1549C24C2512yes—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2511yescharacteristic
1553#41—816no—
1554C2×Q8—24no—
1555C2×Q8—24no—
1556C2×Q8—24no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—41no—
1577C2×Q8—41no—
1578C2×Q8—42no—
1579C2×Q8—41no—
1580C2×Q8—816no—
1581C2×Q8H(5,𝔽2)14yes—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—22no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—41no—
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—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—41no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—41no—
1636C22×C4—22no—
1637C22×C4—22no—
1638C22×C4—24no—
1639C22×C4—22no—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—24no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—41no—
1672C22×C4—41no—
1673C22×C4—42no—
1674C22×C4—41no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2511yescharacteristic
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2511yescharacteristic
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—22no—
1721C4⋊C4—22no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—22no—
1730C4⋊C4—24no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—41no—
1740C4⋊C4—41no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—41no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—41no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C42—22no—
1887C42—22no—
1888C42—24no—
1889C42—41no—
1890C42—41no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C23—21no—
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—21no—
1916C23—21no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—44no—
1946C23—82no—
1947C23—82no—
1948C23—161no—
1949C23—161no—
1950C23—161no—
1951C23—161no—
1952C23#58512yes—
1953C23C2611yescharacteristic
1954Q8—44no—
1955Q8—48no—
1956Q8—84no—
1957Q8—84no—
1958Q8—84no—
1959Q8—161no—
1960Q8—162no—
1961Q8—162no—
1962Q8—161no—
1963D4—44no—
1964D4—82no—
1965D4—84no—
1966D4—84no—
1967D4—84no—
1968D4—84no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—162no—
1975D4—162no—
1976D4—162no—
1977D4—162no—
1978D4—162no—
1979D4—161no—
1980D4—162no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
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—21no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—21no—
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—21no—
2065C2×C4—22no—
2066C2×C4—21no—
2067C2×C4—21no—
2068C2×C4—48no—
2069C2×C4—44no—
2070C2×C4—82no—
2071C2×C4—82no—
2072C2×C4—84no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—84no—
2077C2×C4—82no—
2078C2×C4—84no—
2079C2×C4—161no—
2080C2×C4—162no—
2081C2×C4—162no—
2082C2×C4—162no—
2083C2×C4—162no—
2084C2×C4—161no—
2085C2×C4C2×H(5,𝔽2)12yes—
2086C2×C4C2×H(5,𝔽2)14yes—
2087C2×C4#58512yes—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—41no—
2092C22—41no—
2093C22—41no—
2094C22—41no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—164no—
2124C22C22×H(5,𝔽2)11yescharacteristic
2125C22C2×#58511yescharacteristic
2126C22C2×#58511yescharacteristic
2127C22H(7,𝔽2)11yescharacteristic
2128C22H(7,𝔽2)11yescharacteristic
2129C222−1+611yescharacteristic
2130C222−1+611yescharacteristic
2131C4—24no—
2132C4—22no—
2133C4—22no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—41no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—41no—
2153C4—41no—
2154C4—42no—
2155C4—41no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C2—42no—
2162C2—82no—
2163C2—82no—
2164C2—82no—
2165C2—82no—
2166C2#6286211yescharacteristic
2167C2#6286911yescharacteristic
2168C2#6290811yescharacteristic
2169C2#6291911yescharacteristic
2170C2#6291911yescharacteristic
2171C2#6297711yescharacteristic
2172C2#6306911yescharacteristic
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. #57992C2semidirect
2. #57164C2semidirect
3. #57080C2semidirect
4. #56602C2semidirect
5. #56598C2semidirect
6. #56282C2semidirect
7. #56039C2semidirect
8. #55838C2semidirect
9. #55512C2semidirect
10. #55185C2semidirect
11. #55080C2semidirect
12. #53991C2semidirect
13. #53219C2semidirect
14. #52823C2semidirect
15. #51982C2semidirect
16. #51746C2semidirect
17. #51682C2semidirect
18. #50831C2semidirect
19. #48570C2semidirect
20. #47300C2semidirect
21. #46357C2semidirect
22. #46133C2semidirect
23. #43833C2semidirect
24. #43655C2semidirect
25. #43370C2semidirect
26. #42786C2semidirect
27. #42109C2semidirect
28. #41825C2semidirect
29. #41812C2semidirect
30. #41148C2semidirect
31. #39551C2semidirect
32. #39124C2semidirect
33. #37754C2semidirect
34. #37209C2semidirect
35. #36765C2semidirect
36. C2×#562C22semidirect
37. C2×D4×Q8C22semidirect
46. #2839C22semidirect
47. #2837C22semidirect
50. #2831C22semidirect
51. #2831C22semidirect
52. #2830C22semidirect
58. #2824C22semidirect
59. #2822C22semidirect
60. #2820C22semidirect
65. #2810C22semidirect
66. #2808C22semidirect
67. #2808C22semidirect
68. #2806C22semidirect
69. #2805C22semidirect
74. #2800C22semidirect
75. #2799C22semidirect
76. #2799C22semidirect
78. #2798C22semidirect
80. #2794C22semidirect
83. #2784C22semidirect
84. #2783C22semidirect
87. #2779C22semidirect
91. #2776C22semidirect
93. #2775C22semidirect
94. #2770C22semidirect
95. #2767C22semidirect
96. #2762C22semidirect
98. #2761C22semidirect
99. #2759C22semidirect
100. #2759C22semidirect
101. #2759C22semidirect
102. #2758C22semidirect
103. #2758C22semidirect
110. #2748C22semidirect
112. #2747C22semidirect
116. #2742C22semidirect
118. #2740C22semidirect
120. #2738C22semidirect
123. #2734C22semidirect
124. #2734C22semidirect
125. #2734C22semidirect
126. #2733C22semidirect
133. #2729C22semidirect
134. #2729C22semidirect
137. #2726C22semidirect
139. #2723C22semidirect
140. #2723C22semidirect
142. #2718C22semidirect
145. #2715C22semidirect
146. #2714C22semidirect
147. #2713C22semidirect
148. #2713C22semidirect
158. #2702C22semidirect
162. #2700C22semidirect
164. #2698C22semidirect
172. #2695C22semidirect
174. #2693C22semidirect
178. #2692C22semidirect
186. #2683C22semidirect
193. #2674C22semidirect
198. #2671C22semidirect
201. #2666C22semidirect
202. #2663C22semidirect
203. #2663C22semidirect
204. #2663C22semidirect
205. #2662C22semidirect
206. #2653C22semidirect
212. #2648C22semidirect
215. #2639C22semidirect
216. #2639C22semidirect
220. #2630C22semidirect
221. #2630C22semidirect
222. #2628C22semidirect
223. #2628C22semidirect
230. #2612C22semidirect
232. #2605C22semidirect
236. #2599C22semidirect
237. #2597C22semidirect
239. #2595C22semidirect
241. #2578C22semidirect
242. #2578C22semidirect
243. #2578C22semidirect
245. #2575C22semidirect
246. #2575C22semidirect
248. #2574C22semidirect
249. #2572C22semidirect
250. #2569C22semidirect
256. #2557C22semidirect
258. #2549C22semidirect
259. #2547C22semidirect
262. #2537C22semidirect
263. #2536C22semidirect
265. #2533C22semidirect
267. #2532C22semidirect
268. #2532C22semidirect
272. #2531C22semidirect
273. #2530C22semidirect
275. #2528C22semidirect
276. #2526C22semidirect
278. #2523C22semidirect
279. #2523C22semidirect
280. #2521C22semidirect
285. #2511C22semidirect
287. #2499C22semidirect
289. #2493C22semidirect
292. #2492C22semidirect
293. #2491C22semidirect
294. #2491C22semidirect
295. #2489C22semidirect
298. #2485C22semidirect
306. #2477C22semidirect
307. #2476C22semidirect
308. #2476C22semidirect
309. #2476C22semidirect
312. #2471C22semidirect
313. #2469C22semidirect
315. #2465C22semidirect
316. #2464C22semidirect
318. #2462C22semidirect
321. #2460C22semidirect
329. #2444C22semidirect
330. #2438C22semidirect
331. #2436C22semidirect
336. #2429C22semidirect
340. #2423C22semidirect
350. #2409C22semidirect
352. #2402C22semidirect
355. #2379C22semidirect
356. #2378C22semidirect
358. #2373C22semidirect
359. #2368C22semidirect
364. #2355C22semidirect
366. Q8×C22⋊C4C22semidirect
370. #2332C22semidirect
374. #2324C22semidirect

Maximal subgroups

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

subgroupindex
#579922
#571642
#570802
#566022
#565982
#562822
#560392
#558382
#555122
#551852
#550802
#539912
#532192
#528232
#519822
#517462
#516822
#508312
#485702
#473002
#463572
#461332
#438332
#436552
#433702
#427862
#421092
#418252
#418122
#411482
#395512
#391242
#377542
#372092
#367652