Finite Group Databasebeta

← #10261533

Subgroups — #10261533

Order 512.

4343 conjugacy classes of subgroups.

The subgroup lattice has 2134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58965C211yesmaximal, characteristic, complemented
2#58884C212yesmaximal, complemented
3#58797C211yesmaximal, characteristic, complemented
4#57943C212yesmaximal, complemented
5#57158C212yesmaximal, complemented
6#56759C212yesmaximal, complemented
7#56679C212yesmaximal, complemented
8#56623C212yesmaximal, complemented
9#56481C212yesmaximal, complemented
10#55882C212yesmaximal, complemented
11#54351C212yesmaximal, complemented
12#53444C212yesmaximal, complemented
13#53263C212yesmaximal, complemented
14#52901C211yesmaximal, characteristic, complemented
15#52738C212yesmaximal, complemented
16#52048C212yesmaximal, complemented
17#51558C212yesmaximal, complemented
18#51546C211yesmaximal, characteristic, complemented
19#51501C212yesmaximal, complemented
20#50581C212yesmaximal, complemented
21#49923C212yesmaximal, complemented
22#49371C212yesmaximal, complemented
23#48901C212yesmaximal, complemented
24#47809C212yesmaximal, complemented
25#47212C211yesmaximal, characteristic, complemented
26#46321C212yesmaximal, complemented
27#45766C212yesmaximal, complemented
28#45713C212yesmaximal, complemented
29#44835C211yesmaximal, characteristic, complemented
30#44643C212yesmaximal, complemented
31#42875C211yesmaximal, characteristic, complemented
32#42450C212yesmaximal, complemented
33#40366C212yesmaximal, complemented
34#39859C212yesmaximal, complemented
35#37828C212yesmaximal, complemented
36C2×#562C2211yescharacteristic, complemented
37C2×#557C2211yescharacteristic, complemented
38C2×#542C2211yescharacteristic
39C2×#538C2211yescharacteristic
40C2×#529C2212yes—
41#2854C2212yescomplemented
42#2853C2212yescomplemented
43#2852C2212yes—
44#2851C2212yescomplemented
45#2843C2211yescharacteristic, complemented
46#2842C2211yescharacteristic
47#2837C2212yes—
48#2832C2212yes—
49#2832C2212yes—
50#2831C2212yes—
51#2831C2212yescomplemented
52#2830C2212yes—
53#2830C2211yescharacteristic, complemented
54#2829C2212yes—
55#2829C2212yes—
56#2828C2212yescomplemented
57#2828C2211yescharacteristic, complemented
58#2827C2212yes—
59#2827C2212yescomplemented
60#2824C2212yes—
61#2821C2212yescomplemented
62#2819C2212yes—
63#2815C2212yes—
64#2815C2211yescharacteristic
65#2813C2212yes—
66#2807C2211yescharacteristic
67#2807C2212yescomplemented
68#2806C2212yescomplemented
69#2804C2212yescomplemented
70#2804C2211yescharacteristic, complemented
71#2803C2212yes—
72#2797C2212yes—
73#2797C2212yes—
74#2797C2212yes—
75#2796C2212yes—
76#2796C2212yes—
77#2794C2211yescharacteristic, complemented
78#2793C2212yes—
79#2792C2212yescomplemented
80#2788C2212yescomplemented
81#2786C2212yes—
82#2786C2212yescomplemented
83#2785C2212yescomplemented
84#2784C2212yes—
85#2784C2211yescharacteristic, complemented
86#2784C2212yescomplemented
87#2783C2212yes—
88#2783C2212yes—
89#2782C2212yes—
90#2782C2211yescharacteristic, complemented
91#2781C2212yes—
92#2781C2212yescomplemented
93#2780C2212yes—
94#2780C2212yescomplemented
95#2777C2212yes—
96#2777C2212yes—
97#2777C2212yescomplemented
98#2777C2212yescomplemented
99#2775C2212yes—
100#2775C2212yes—
101#2775C2212yescomplemented
102#2775C2212yescomplemented
103#2774C2212yescomplemented
104#2773C2212yes—
105#2772C2212yes—
106#2770C2212yes—
107#2768C2212yescomplemented
108#2767C2212yescomplemented
109#2763C2211yescharacteristic
110#2757C2212yes—
111#2757C2212yes—
112#2757C2212yescomplemented
113#2757C2212yescomplemented
114#2756C2212yes—
115#2756C2212yes—
116#2756C2212yes—
117#2755C2212yescomplemented
118#2754C2212yescomplemented
119#2751C2212yescomplemented
120#2747C2212yescomplemented
121#2747C2212yescomplemented
122#2742C2212yes—
123#2740C2212yescomplemented
124#2738C2212yes—
125#2737C2212yes—
126#2736C2212yes—
127#2735C2211yescharacteristic
128#2733C2212yes—
129#2733C2212yes—
130#2732C2212yes—
131#2730C2212yes—
132#2729C2212yes—
133#2729C2212yescomplemented
134#2725C2212yes—
135#2724C2212yes—
136#2724C2212yescomplemented
137#2723C2212yes—
138#2723C2212yescomplemented
139#2722C2212yescomplemented
140#2721C2212yes—
141#2721C2212yescomplemented
142#2720C2212yes—
143#2720C2212yescomplemented
144#2718C2212yes—
145#2718C2212yescomplemented
146#2717C2212yes—
147#2717C2212yes—
148#2717C2212yescomplemented
149#2716C2212yes—
150#2716C2212yescomplemented
151#2715C2212yes—
152#2714C2212yes—
153#2714C2212yes—
154#2714C2212yes—
155#2714C2212yes—
156#2714C2212yescomplemented
157#2712C2212yes—
158#2711C2212yes—
159#2710C2212yes—
160#2710C2212yes—
161#2710C2212yescomplemented
162#2708C2212yes—
163#2706C2212yes—
164#2706C2212yes—
165#2706C2212yes—
166#2706C2212yes—
167#2705C2212yes—
168#2705C2212yes—
169#2705C2212yescomplemented
170#2705C2212yescomplemented
171#2703C2212yes—
172#2703C2212yes—
173#2703C2212yescomplemented
174#2702C2212yescomplemented
175#2698C2212yescomplemented
176#2696C2212yes—
177#2695C2212yes—
178#2694C2212yes—
179#2694C2212yes—
180#2694C2212yes—
181#2694C2212yescomplemented
182#2694C2212yescomplemented
183#2693C2212yes—
184#2690C2212yescomplemented
185#2690C2212yescomplemented
186#2690C2212yescomplemented
187#2688C2212yes—
188#2682C2212yes—
189#2678C2212yes—
190#2678C2212yes—
191#2678C2212yes—
192#2676C2212yes—
193#2674C2212yes—
194#2674C2212yes—
195#2674C2212yes—
196#2674C2212yes—
197#2674C2212yescomplemented
198#2672C2212yescomplemented
199#2671C2212yes—
200#2671C2212yes—
201#2671C2212yes—
202#2670C2212yes—
203#2670C2211yescharacteristic
204#2670C2212yes—
205#2668C2212yes—
206#2664C2212yes—
207#2662C2212yes—
208#2660C2211yescharacteristic, complemented
209#2658C2211yescharacteristic, complemented
210#2654C2212yes—
211#2651C2212yes—
212#2651C2212yescomplemented
213#2650C2212yes—
214#2650C2212yescomplemented
215#2640C2212yes—
216#2633C2212yes—
217#2633C2212yes—
218#2633C2212yescomplemented
219#2632C2212yes—
220#2631C2212yes—
221#2630C2212yes—
222#2630C2212yescomplemented
223#2630C2212yescomplemented
224#2629C2212yes—
225#2628C2211yescharacteristic
226#2624C2212yes—
227#2622C2212yes—
228#2618C2212yes—
229#2612C2211yescharacteristic, complemented
230#2612C2212yescomplemented
231#2611C2212yes—
232#2611C2211yescharacteristic
233#2611C2212yescomplemented
234#2611C2212yescomplemented
235#2610C2212yes—
236#2610C2211yescharacteristic
237#2610C2212yes—
238#2610C2212yescomplemented
239#2609C2212yes—
240#2606C2212yescomplemented
241#2604C2212yescomplemented
242#2604C2212yescomplemented
243#2603C2212yescomplemented
244#2602C2212yes—
245#2602C2212yes—
246#2600C2212yescomplemented
247#2599C2212yes—
248#2599C2212yescomplemented
249#2598C2212yescomplemented
250#2590C2212yescomplemented
251#2589C2212yes—
252#2583C2212yescomplemented
253#2580C2212yes—
254#2580C2211yescharacteristic, complemented
255#2580C2212yescomplemented
256#2579C2212yes—
257#2578C2212yescomplemented
258#2573C2212yescomplemented
259#2566C2212yes—
260#2566C2212yes—
261#2563C2211yescharacteristic, complemented
262#2559C2212yes—
263#2558C2212yes—
264#2558C2212yes—
265#2557C2212yes—
266#2557C2212yescomplemented
267#2555C2212yes—
268#2553C2212yes—
269#2553C2212yescomplemented
270#2552C2212yescomplemented
271#2550C2212yescomplemented
272#2550C2212yescomplemented
273#2540C2212yes—
274#2539C2211yescharacteristic
275#2533C2212yescomplemented
276#2533C2212yescomplemented
277#2532C2212yescomplemented
278#2531C2212yes—
279#2531C2212yes—
280#2531C2212yes—
281#2529C2212yes—
282#2526C2212yes—
283#2526C2212yes—
284#2525C2212yescomplemented
285#2525C2212yescomplemented
286#2524C2212yescomplemented
287#2523C2212yes—
288#2522C2212yes—
289#2521C2212yes—
290#2519C2212yescomplemented
291#2517C2211yescharacteristic
292#2515C2212yescomplemented
293#2513C2212yes—
294#2513C2212yescomplemented
295#2512C2212yes—
296#2507C2212yescomplemented
297#2501C2212yes—
298#2500C2211yescharacteristic
299#2495C2212yescomplemented
300#2491C2212yes—
301#2490C2212yes—
302#2490C2212yes—
303#2482C2211yescharacteristic
304#2480C2212yes—
305#2479C2212yes—
306#2478C2212yes—
307#2478C2212yescomplemented
308#2476C2212yes—
309#2475C2212yescomplemented
310#2474C2212yes—
311#2474C2212yes—
312#2471C2212yes—
313#2471C2212yes—
314#2466C2212yes—
315#2464C2212yescomplemented
316#2463C2212yes—
317#2462C2212yescomplemented
318#2461C2212yes—
319#2461C2212yes—
320#2461C2212yescomplemented
321#2460C2212yescomplemented
322#2458C2212yes—
323#2456C2212yes—
324#2456C2212yes—
325#2456C2212yes—
326#2456C2212yes—
327#2455C2211yescharacteristic
328#2455C2212yes—
329#2455C2212yes—
330#2455C2212yes—
331#2455C2212yescomplemented
332#2451C2212yescomplemented
333#2448C2212yes—
334#2448C2212yes—
335#2448C2212yes—
336#2448C2212yescomplemented
337#2443C2212yes—
338#2443C2212yescomplemented
339#2443C2212yescomplemented
340#2442C2212yescomplemented
341#2441C2212yescomplemented
342#2440C2212yescomplemented
343#2437C2211yescharacteristic
344#2423C2212yescomplemented
345#2422C2212yes—
346#2421C2212yes—
347#2421C2212yescomplemented
348#2418C2212yes—
349#2418C2212yes—
350#2415C2212yes—
351#2414C2212yes—
352#2414C2212yescomplemented
353#2413C2212yes—
354#2411C2212yes—
355#2411C2212yes—
356#2396C2211yescharacteristic
357#2395C2212yescomplemented
358#2383C2212yescomplemented
359#2382C2212yescomplemented
360#2378C2212yescomplemented
361#2376C2212yes—
362#2373C2212yescomplemented
363#2372C2211yescharacteristic, complemented
364#2361C2212yes—
365#2358C2212yes—
366#2356C2212yescomplemented
367#2356C2211yescharacteristic, complemented
368D4×C4⋊C4C2212yescomplemented
369#2346C2212yes—
370#2337C2212yes—
371#2335C2212yescomplemented
372#2332C2211yescharacteristic
373#2326C2212yes—
374#2326C2212yes—
375#2326C2212yescomplemented
376#2317C2212yescomplemented
377C4×C22⋊Q8C2212yescomplemented
378C4×#121C2212yes—
379#562—44no—
380#557—44no—
381#542—44no—
382#538—44no—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387#529—48no—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2312yes—
403C2×#124C2311yescharacteristic
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
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×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2312yes—
475C22×C42C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2311yescharacteristic
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2311yescharacteristic
494#400C2312yes—
495#400C2312yes—
496#400C2311yescharacteristic
497#400C2312yes—
498#400C2312yes—
499#400C2311yescharacteristic
500#400C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2311yescharacteristic
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2311yescharacteristic
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2311yescharacteristic
516#399C2311yescharacteristic
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2311yescharacteristic
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#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
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#397C2311yescharacteristic
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#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#395C2311yescharacteristic
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2311yescharacteristic
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
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#394C2311yescharacteristic
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2311yescharacteristic
700#393C2311yescharacteristic
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#392C2311yescharacteristic
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2311yescharacteristic
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#385C2311yescharacteristic
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
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#385C2311yescharacteristic
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#384C2312yes—
1028#384C2312yes—
1029#384C2312yes—
1030#384C2312yes—
1031#384C2311yescharacteristic
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#383C2312yes—
1038#383C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2311yescharacteristic
1045#382C2312yes—
1046#382C2312yes—
1047#382C2312yes—
1048#382C2311yescharacteristic
1049#381C2312yes—
1050#381C2311yescharacteristic
1051#381C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#379C2311yescharacteristic
1070#379C2312yes—
1071#379C2312yes—
1072#379C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100#376C2311yescharacteristic
1101#376C2312yes—
1102#376C2311yescharacteristic
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2411yescharacteristic
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C4⋊Q8—42no—
1142C4⋊Q8—42no—
1143C4⋊Q8—44no—
1144C4⋊Q8—82no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—82no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—42no—
1158#125—82no—
1159#124—28no—
1160#124—24no—
1161#124—44no—
1162#124—44no—
1163#124—44no—
1164#124—44no—
1165#124—42no—
1166#124—82no—
1167#124—82no—
1168#124—82no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—82no—
1178#123—82no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185C22⋊Q8—28no—
1186C22⋊Q8—24no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192#121—42no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—42no—
1200#121—82no—
1201#121—82no—
1202#121—82no—
1203#120—44no—
1204#120—44no—
1205#120—82no—
1206C4×Q8—28no—
1207C4×Q8—24no—
1208C4×Q8—44no—
1209C4×Q8—42no—
1210C4×Q8—82no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—42no—
1216C4×D4—44no—
1217C4×D4—82no—
1218C4×D4—82no—
1219C4×D4—82no—
1220C4×D4—82no—
1221C4×D4—82no—
1222#117—44no—
1223#117—42no—
1224#117—44no—
1225#117—44no—
1226#117—44no—
1227#117—82no—
1228C2×C4⋊C4—82no—
1229C2×C4⋊C4—82no—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C22⋊C4—42no—
1316C2×C22⋊C4—82no—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1339C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1404C2×C22⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C42—44no—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
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×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440#95C2412yes—
1441#95C2412yes—
1442#95C2411yescharacteristic
1443#95C2411yescharacteristic
1444#95C2411yescharacteristic
1445#95C2412yes—
1446#95C2411yescharacteristic
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2411yescharacteristic
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#95C2411yescharacteristic
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2411yescharacteristic
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#95C2411yescharacteristic
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—
1538C24—42no—
1539C24—41no—
1540C24—41no—
1541C24—42no—
1542C24—41no—
1543C24C2512yes—
1544C24C2511yescharacteristic
1545C24C2512yes—
1546C24C2512yes—
1547C24C2512yes—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8H(5,𝔽2)14yes—
1564C2×D4—24no—
1565C2×D4—22no—
1566C2×D4—24no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—41no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—41no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—22no—
1620C22×C4—24no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—41no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—41no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—41no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2511yescharacteristic
1659C22×C4C2512yes—
1660C22×C4C2511yescharacteristic
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2511yescharacteristic
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2511yescharacteristic
1680C22×C4C2512yes—
1681C22×C4C2511yescharacteristic
1682C22×C4C2511yescharacteristic
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—22no—
1689C4⋊C4—24no—
1690C4⋊C4—22no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—41no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—41no—
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—42no—
1762C4⋊C4—42no—
1763C4⋊C4—41no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—41no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—41no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—41no—
1806C22⋊C4—41no—
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—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—22no—
1870C42—22no—
1871C42—24no—
1872C42—24no—
1873C42—24no—
1874C42—24no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—41no—
1881C42—41no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C23—22no—
1893C23—22no—
1894C23—21no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—21no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—82no—
1926C23—84no—
1927C23—162no—
1928C23—161no—
1929C23—161no—
1930C23C2611yescharacteristic
1931Q8—44no—
1932Q8—84no—
1933Q8—82no—
1934Q8—84no—
1935Q8—161no—
1936Q8—162no—
1937D4—48no—
1938D4—84no—
1939D4—82no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—84no—
1946D4—162no—
1947D4—162no—
1948D4—162no—
1949D4—162no—
1950D4—161no—
1951D4—162no—
1952D4—162no—
1953D4—162no—
1954D4—161no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—22no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
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—22no—
2017C2×C4—22no—
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—21no—
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—48no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—82no—
2042C2×C4—84no—
2043C2×C4—84no—
2044C2×C4—84no—
2045C2×C4—84no—
2046C2×C4—84no—
2047C2×C4—161no—
2048C2×C4—162no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4C2×H(5,𝔽2)14yes—
2052C2×C4C2×H(5,𝔽2)12yes—
2053C2×C4#58514yes—
2054C22—42no—
2055C22—42no—
2056C22—41no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—41no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—41no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—164no—
2088C22C22×H(5,𝔽2)11yescharacteristic
2089C22C2×#58512yes—
2090C22H(7,𝔽2)12yes—
2091C222−1+611yescharacteristic
2092C222−1+611yescharacteristic
2093C4—24no—
2094C4—22no—
2095C4—24no—
2096C4—41no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—41no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—41no—
2113C4—42no—
2114C4—42no—
2115C4—41no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—41no—
2123C2—82no—
2124C2—82no—
2125C2—82no—
2126C2—81no—
2127C2—82no—
2128C2#6286812yes—
2129C2#6287111yescharacteristic
2130C2#6302211yescharacteristic
2131C2#6304312yes—
2132C2#6306611yescharacteristic
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. #58965C2semidirect
2. #58884C2semidirect
3. #58797C2semidirect
4. #57943C2semidirect
5. #57158C2semidirect
6. #56759C2semidirect
7. #56679C2semidirect
8. #56623C2semidirect
9. #56481C2semidirect
10. #55882C2semidirect
11. #54351C2semidirect
12. #53444C2semidirect
13. #53263C2semidirect
14. #52901C2semidirect
15. #52738C2semidirect
16. #52048C2semidirect
17. #51558C2semidirect
18. #51546C2semidirect
19. #51501C2semidirect
20. #50581C2semidirect
21. #49923C2semidirect
22. #49371C2semidirect
23. #48901C2semidirect
24. #47809C2semidirect
25. #47212C2semidirect
26. #46321C2semidirect
27. #45766C2semidirect
28. #45713C2semidirect
29. #44835C2semidirect
30. #44643C2semidirect
31. #42875C2semidirect
32. #42450C2semidirect
33. #40366C2semidirect
34. #39859C2semidirect
35. #37828C2semidirect
36. C2×#562C22semidirect
37. C2×#557C22semidirect
41. #2854C22semidirect
42. #2853C22semidirect
44. #2851C22semidirect
45. #2843C22semidirect
51. #2831C22semidirect
53. #2830C22semidirect
56. #2828C22semidirect
57. #2828C22semidirect
59. #2827C22semidirect
61. #2821C22semidirect
67. #2807C22semidirect
68. #2806C22semidirect
69. #2804C22semidirect
70. #2804C22semidirect
77. #2794C22semidirect
79. #2792C22semidirect
80. #2788C22semidirect
82. #2786C22semidirect
83. #2785C22semidirect
85. #2784C22semidirect
86. #2784C22semidirect
90. #2782C22semidirect
92. #2781C22semidirect
94. #2780C22semidirect
97. #2777C22semidirect
98. #2777C22semidirect
101. #2775C22semidirect
102. #2775C22semidirect
103. #2774C22semidirect
107. #2768C22semidirect
108. #2767C22semidirect
112. #2757C22semidirect
113. #2757C22semidirect
117. #2755C22semidirect
118. #2754C22semidirect
119. #2751C22semidirect
120. #2747C22semidirect
121. #2747C22semidirect
123. #2740C22semidirect
133. #2729C22semidirect
136. #2724C22semidirect
138. #2723C22semidirect
139. #2722C22semidirect
141. #2721C22semidirect
143. #2720C22semidirect
145. #2718C22semidirect
148. #2717C22semidirect
150. #2716C22semidirect
156. #2714C22semidirect
161. #2710C22semidirect
169. #2705C22semidirect
170. #2705C22semidirect
173. #2703C22semidirect
174. #2702C22semidirect
175. #2698C22semidirect
181. #2694C22semidirect
182. #2694C22semidirect
184. #2690C22semidirect
185. #2690C22semidirect
186. #2690C22semidirect
197. #2674C22semidirect
198. #2672C22semidirect
208. #2660C22semidirect
209. #2658C22semidirect
212. #2651C22semidirect
214. #2650C22semidirect
218. #2633C22semidirect
222. #2630C22semidirect
223. #2630C22semidirect
229. #2612C22semidirect
230. #2612C22semidirect
233. #2611C22semidirect
234. #2611C22semidirect
238. #2610C22semidirect
240. #2606C22semidirect
241. #2604C22semidirect
242. #2604C22semidirect
243. #2603C22semidirect
246. #2600C22semidirect
248. #2599C22semidirect
249. #2598C22semidirect
250. #2590C22semidirect
252. #2583C22semidirect
254. #2580C22semidirect
255. #2580C22semidirect
257. #2578C22semidirect
258. #2573C22semidirect
261. #2563C22semidirect
266. #2557C22semidirect
269. #2553C22semidirect
270. #2552C22semidirect
271. #2550C22semidirect
272. #2550C22semidirect
275. #2533C22semidirect
276. #2533C22semidirect
277. #2532C22semidirect
284. #2525C22semidirect
285. #2525C22semidirect
286. #2524C22semidirect
290. #2519C22semidirect
292. #2515C22semidirect
294. #2513C22semidirect
296. #2507C22semidirect
299. #2495C22semidirect
307. #2478C22semidirect
309. #2475C22semidirect
315. #2464C22semidirect
317. #2462C22semidirect
320. #2461C22semidirect
321. #2460C22semidirect
331. #2455C22semidirect
332. #2451C22semidirect
336. #2448C22semidirect
338. #2443C22semidirect
339. #2443C22semidirect
340. #2442C22semidirect
341. #2441C22semidirect
342. #2440C22semidirect
344. #2423C22semidirect
347. #2421C22semidirect
352. #2414C22semidirect
357. #2395C22semidirect
358. #2383C22semidirect
359. #2382C22semidirect
360. #2378C22semidirect
362. #2373C22semidirect
363. #2372C22semidirect
366. #2356C22semidirect
367. #2356C22semidirect
368. D4×C4⋊C4C22semidirect
371. #2335C22semidirect
375. #2326C22semidirect
376. #2317C22semidirect
377. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#589652
#588842
#587972
#579432
#571582
#567592
#566792
#566232
#564812
#558822
#543512
#534442
#532632
#529012
#527382
#520482
#515582
#515462
#515012
#505812
#499232
#493712
#489012
#478092
#472122
#463212
#457662
#457132
#448352
#446432
#428752
#424502
#403662
#398592
#378282