Finite Group Databasebeta

← #8942313

Subgroups — #8942313

Order 512.

4422 conjugacy classes of subgroups.

The subgroup lattice has 2139 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#55610C211yesmaximal, characteristic, complemented
2#54850C211yesmaximal, characteristic, complemented
3#53977C211yesmaximal, characteristic, complemented
4#53830C212yesmaximal, complemented
5#53785C212yesmaximal, complemented
6#53663C212yesmaximal, complemented
7#53488C211yesmaximal, characteristic, complemented
8#53410C212yesmaximal, complemented
9#50780C212yesmaximal, complemented
10#50770C212yesmaximal, complemented
11#50670C212yesmaximal, complemented
12#49872C212yesmaximal, complemented
13#48772C212yesmaximal, complemented
14#48151C212yesmaximal, complemented
15#47851C212yesmaximal, complemented
16#47849C212yesmaximal, complemented
17#47849C212yesmaximal, complemented
18#46917C212yesmaximal, complemented
19#46661C212yesmaximal, complemented
20#45118C212yesmaximal, complemented
21#44717C212yesmaximal, complemented
22#44036C212yesmaximal, complemented
23#43328C212yesmaximal, complemented
24#42949C212yesmaximal, complemented
25#41753C212yesmaximal, complemented
26#41299C212yesmaximal, complemented
27#40834C212yesmaximal, complemented
28#40663C212yesmaximal, complemented
29#39302C212yesmaximal, complemented
30#39085C212yesmaximal, complemented
31#36960C211yesmaximal, characteristic, complemented
32#35837C212yesmaximal, complemented
33#35837C212yesmaximal, complemented
34#35467C211yesmaximal, characteristic, complemented
35#35467C211yesmaximal, characteristic, complemented
36C2×#560C2212yes—
37C2×#538C2211yescharacteristic
38C2×#538C2211yescharacteristic
39C2×#538C2211yescharacteristic
40C22×#126C2211yescharacteristic
41#2855C2211yescharacteristic
42#2854C2211yescharacteristic
43#2844C2211yescharacteristic, complemented
44#2839C2212yescomplemented
45#2837C2212yescomplemented
46#2836C2212yescomplemented
47#2836C2212yescomplemented
48#2834C2212yes—
49#2833C2211yescharacteristic, complemented
50#2828C2211yescharacteristic, complemented
51#2826C2212yes—
52#2826C2212yescomplemented
53#2823C2211yescharacteristic, complemented
54#2820C2212yescomplemented
55#2807C2212yescomplemented
56#2799C2211yescharacteristic, complemented
57#2797C2212yescomplemented
58#2796C2212yescomplemented
59#2793C2212yescomplemented
60#2792C2212yescomplemented
61#2792C2211yescharacteristic, complemented
62#2791C2212yescomplemented
63#2791C2212yescomplemented
64#2790C2212yescomplemented
65#2790C2212yescomplemented
66#2787C2212yescomplemented
67#2786C2212yescomplemented
68#2786C2212yescomplemented
69#2784C2211yescharacteristic, complemented
70#2783C2212yescomplemented
71#2782C2212yescomplemented
72#2782C2211yescharacteristic, complemented
73#2781C2212yescomplemented
74#2780C2212yescomplemented
75#2780C2212yescomplemented
76#2779C2212yescomplemented
77#2778C2212yescomplemented
78#2776C2212yescomplemented
79#2774C2212yescomplemented
80#2774C2212yescomplemented
81#2773C2212yescomplemented
82#2772C2212yescomplemented
83#2772C2212yescomplemented
84#2772C2212yescomplemented
85#2769C2211yescharacteristic, complemented
86#2768C2212yescomplemented
87#2768C2212yescomplemented
88#2767C2212yescomplemented
89#2767C2212yescomplemented
90#2765C2212yescomplemented
91#2761C2212yescomplemented
92#2755C2212yescomplemented
93#2754C2212yescomplemented
94#2753C2212yescomplemented
95#2748C2212yescomplemented
96#2747C2212yescomplemented
97#2746C2212yes—
98#2746C2212yes—
99#2739C2212yescomplemented
100#2739C2212yescomplemented
101#2738C2212yes—
102#2738C2212yes—
103#2733C2211yescharacteristic, complemented
104#2724C2211yescharacteristic, complemented
105#2723C2212yescomplemented
106#2722C2212yes—
107#2722C2212yes—
108#2722C2212yes—
109#2722C2212yescomplemented
110#2721C2212yescomplemented
111#2717C2212yes—
112#2717C2212yes—
113#2717C2212yescomplemented
114#2715C2212yes—
115#2715C2212yes—
116#2715C2212yes—
117#2715C2212yes—
118#2715C2212yescomplemented
119#2714C2212yescomplemented
120#2709C2212yes—
121#2708C2212yes—
122#2708C2212yes—
123#2708C2212yes—
124#2706C2212yes—
125#2706C2212yes—
126#2706C2212yescomplemented
127#2706C2212yescomplemented
128#2705C2212yescomplemented
129#2703C2212yescomplemented
130#2703C2212yescomplemented
131#2699C2212yes—
132#2698C2212yes—
133#2698C2212yes—
134#2695C2212yes—
135#2695C2212yes—
136#2695C2212yes—
137#2695C2212yes—
138#2695C2212yes—
139#2695C2212yescomplemented
140#2694C2212yes—
141#2694C2212yes—
142#2693C2212yes—
143#2693C2212yes—
144#2691C2212yes—
145#2691C2212yes—
146#2691C2212yes—
147#2691C2212yes—
148#2690C2212yescomplemented
149#2689C2212yes—
150#2688C2212yes—
151#2688C2212yes—
152#2688C2212yes—
153#2686C2212yes—
154#2682C2212yes—
155#2682C2212yes—
156#2681C2212yes—
157#2680C2211yescharacteristic, complemented
158#2673C2212yes—
159#2673C2212yes—
160#2672C2212yes—
161#2672C2212yes—
162#2672C2212yes—
163#2671C2212yes—
164#2671C2212yes—
165#2671C2212yes—
166#2671C2212yes—
167#2666C2212yescomplemented
168#2666C2212yescomplemented
169#2655C2212yescomplemented
170#2654C2212yescomplemented
171#2652C2212yescomplemented
172#2652C2212yescomplemented
173#2651C2212yescomplemented
174#2649C2212yes—
175#2649C2212yes—
176#2649C2212yes—
177#2649C2212yes—
178#2649C2212yes—
179#2649C2212yes—
180#2649C2212yescomplemented
181#2648C2212yescomplemented
182#2643C2212yescomplemented
183#2633C2212yes—
184#2633C2212yes—
185#2630C2212yescomplemented
186#2627C2211yescharacteristic
187#2624C2212yescomplemented
188#2618C2211yescharacteristic
189#2617C2212yes—
190#2617C2212yes—
191#2617C2212yes—
192#2609C2212yescomplemented
193#2609C2211yescharacteristic, complemented
194#2602C2212yescomplemented
195#2601C2212yescomplemented
196#2597C2212yescomplemented
197#2594C2212yescomplemented
198#2591C2211yescharacteristic
199#2591C2211yescharacteristic
200#2587C2212yescomplemented
201#2586C2211yescharacteristic, complemented
202#2585C2212yescomplemented
203#2583C2211yescharacteristic
204#2583C2211yescharacteristic
205#2579C2212yes—
206#2579C2212yes—
207#2579C2212yes—
208#2578C2212yescomplemented
209#2575C2212yes—
210#2575C2212yes—
211#2575C2212yes—
212#2575C2212yes—
213#2575C2212yescomplemented
214#2575C2212yescomplemented
215#2574C2212yescomplemented
216#2571C2211yescharacteristic, complemented
217#2570C2212yescomplemented
218#2569C2212yes—
219#2569C2212yes—
220#2569C2212yescomplemented
221#2569C2212yescomplemented
222#2566C2212yescomplemented
223#2559C2212yes—
224#2559C2212yes—
225#2559C2212yes—
226#2559C2212yes—
227#2559C2212yes—
228#2557C2212yes—
229#2555C2212yes—
230#2555C2212yes—
231#2555C2211yescharacteristic, complemented
232#2554C2212yescomplemented
233#2554C2212yescomplemented
234#2553C2212yes—
235#2553C2212yes—
236#2553C2212yes—
237#2553C2212yes—
238#2553C2212yes—
239#2553C2212yes—
240#2553C2212yes—
241#2553C2212yes—
242#2553C2212yes—
243#2553C2212yes—
244#2553C2212yes—
245#2553C2212yes—
246#2553C2212yescomplemented
247#2544C2212yes—
248#2544C2212yes—
249#2535C2212yes—
250#2535C2212yes—
251#2521C2212yes—
252#2521C2212yes—
253#2521C2212yes—
254#2521C2212yes—
255#2521C2212yescomplemented
256#2520C2212yescomplemented
257#2518C2212yescomplemented
258#2517C2212yes—
259#2517C2212yes—
260#2517C2212yes—
261#2517C2212yes—
262#2517C2212yes—
263#2517C2212yescomplemented
264#2516C2212yes—
265#2516C2212yes—
266#2516C2212yes—
267#2516C2212yes—
268#2513C2212yescomplemented
269#2510C2212yes—
270#2510C2212yes—
271#2508C2212yescomplemented
272#2508C2212yescomplemented
273#2507C2212yescomplemented
274#2505C2212yescomplemented
275#2504C2212yes—
276#2504C2212yes—
277#2503C2211yescharacteristic
278#2503C2211yescharacteristic
279#2501C2211yescharacteristic
280#2501C2211yescharacteristic
281#2496C2212yes—
282#2496C2212yes—
283#2496C2212yes—
284#2496C2212yes—
285#2496C2212yes—
286#2496C2212yes—
287#2486C2212yes—
288#2486C2212yes—
289#2481C2212yes—
290#2481C2212yes—
291#2481C2212yes—
292#2481C2212yes—
293#2474C2212yescomplemented
294#2471C2212yes—
295#2471C2212yes—
296#2471C2212yes—
297#2471C2212yes—
298#2471C2212yescomplemented
299#2471C2212yescomplemented
300#2470C2212yescomplemented
301#2468C2212yes—
302#2468C2212yes—
303#2467C2212yes—
304#2467C2212yes—
305#2467C2212yes—
306#2467C2212yes—
307#2466C2212yes—
308#2464C2212yes—
309#2456C2212yes—
310#2456C2212yes—
311#2455C2212yes—
312#2444C2212yes—
313#2444C2212yes—
314#2443C2212yes—
315#2443C2212yes—
316#2443C2212yes—
317#2443C2212yescomplemented
318#2442C2212yes—
319#2442C2212yes—
320#2442C2212yescomplemented
321#2441C2212yescomplemented
322#2428C2212yes—
323#2427C2212yes—
324#2425C2212yes—
325#2425C2212yes—
326#2425C2212yes—
327#2425C2212yes—
328#2422C2212yes—
329#2422C2212yes—
330#2422C2212yes—
331#2422C2212yes—
332#2420C2212yes—
333#2416C2212yes—
334#2412C2212yes—
335#2412C2212yes—
336#2412C2212yes—
337#2412C2212yes—
338#2412C2212yes—
339#2412C2212yes—
340#2395C2212yes—
341#2395C2212yes—
342#2395C2212yes—
343#2395C2212yes—
344C2×#399C2212yes—
345#2382C2212yescomplemented
346#2377C2212yescomplemented
347#2370C2212yescomplemented
348#2368C2212yescomplemented
349#2364C2212yes—
350#2364C2212yes—
351#2363C2212yescomplemented
352#2359C2212yescomplemented
353#2359C2212yescomplemented
354#2358C2212yes—
355#2358C2212yes—
356#2358C2212yes—
357#2352C2212yes—
358#2352C2212yes—
359#2352C2212yes—
360#2352C2212yes—
361#2345C2212yes—
362#2345C2212yes—
363#2345C2212yescomplemented
364#2337C2212yescomplemented
365#2335C2212yescomplemented
366#2335C2212yescomplemented
367#2334C2212yescomplemented
368#2334C2212yescomplemented
369#2322C2212yes—
370#2322C2212yes—
371#2318C2212yescomplemented
372#2317C2212yescomplemented
373#2315C2211yescharacteristic
374#2314C2212yescomplemented
375C4×#123C2212yes—
376C4×#123C2212yes—
377#2273C2211yescharacteristic
378#2273C2211yescharacteristic
379#560—48no—
380#538—44no—
381#538—44no—
382#538—44no—
383C2×#127C2312yes—
384C2×#126—44no—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C42C2311yescharacteristic
476#401C2312yes—
477#401C2312yes—
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#400C2311yescharacteristic
491#400C2311yescharacteristic
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2311yescharacteristic
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2311yescharacteristic
512#400C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#398C2312yes—
532#398C2311yescharacteristic
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2311yescharacteristic
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2311yescharacteristic
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2311yescharacteristic
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
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#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
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#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#395C2311yescharacteristic
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2311yescharacteristic
646#395C2311yescharacteristic
647#395C2312yes—
648#395C2312yes—
649#395C2311yescharacteristic
650#394C2312yes—
651#394C2312yes—
652#394C2311yescharacteristic
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2311yescharacteristic
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2311yescharacteristic
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#394C2311yescharacteristic
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#393C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2311yescharacteristic
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2311yescharacteristic
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#384C2312yes—
991#384C2311yescharacteristic
992#384C2312yes—
993#384C2312yes—
994#384C2311yescharacteristic
995#383C2312yes—
996#383C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2311yescharacteristic
1008#382C2312yes—
1009#382C2312yes—
1010#382C2311yescharacteristic
1011#382C2312yes—
1012#382C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2311yescharacteristic
1073C4×C22⋊C4C2311yescharacteristic
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2311yescharacteristic
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—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146#127—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—82no—
1159#126—82no—
1160#125—44no—
1161#125—44no—
1162#124—44no—
1163#124—44no—
1164#124—44no—
1165#124—44no—
1166#124—82no—
1167#123—44no—
1168#123—44no—
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—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185C22⋊Q8—42no—
1186C22⋊Q8—42no—
1187C22⋊Q8—42no—
1188C22⋊Q8—44no—
1189#121—44no—
1190#121—44no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—44no—
1200#121—44no—
1201#121—44no—
1202#121—42no—
1203#121—42no—
1204#121—42no—
1205#121—82no—
1206#120—28no—
1207#120—28no—
1208#120—28no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—82no—
1218C4×D4—82no—
1219C4×D4—82no—
1220#117—44no—
1221#117—44no—
1222#117—82no—
1223#117—82no—
1224C2×C4⋊C4—44no—
1225C2×C4⋊C4—44no—
1226C2×C4⋊C4—44no—
1227C2×C4⋊C4—42no—
1228C2×C4⋊C4—42no—
1229C2×C4⋊C4—42no—
1230C2×C4⋊C4—82no—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊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—24no—
1316C2×C22⋊C4—24no—
1317C2×C22⋊C4—24no—
1318C2×C22⋊C4—44no—
1319C2×C22⋊C4—44no—
1320C2×C22⋊C4—82no—
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×C42—42no—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2411yescharacteristic
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2411yescharacteristic
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2411yescharacteristic
1454#95C2412yes—
1455#95C2411yescharacteristic
1456#95C2411yescharacteristic
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#95C2411yescharacteristic
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2411yescharacteristic
1521#95C2412yes—
1522#95C2411yescharacteristic
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—42no—
1540C24—41no—
1541C24—41no—
1542C24H(5,𝔽2)14yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2512yes—
1546C24C2511yescharacteristic
1547C24C2512yes—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—42no—
1566C2×D4—42no—
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—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—41no—
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—42no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C22×C4—22no—
1608C22×C4—22no—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
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—41no—
1634C22×C4—41no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
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×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2511yescharacteristic
1687C22×C4C2511yescharacteristic
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
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—41no—
1718C4⋊C4—41no—
1719C4⋊C4—41no—
1720C4⋊C4—41no—
1721C4⋊C4—42no—
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—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
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—42no—
1751C4⋊C4—41no—
1752C4⋊C4—41no—
1753C4⋊C4—41no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
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—
1867C42—24no—
1868C42—24no—
1869C42—42no—
1870C42—42no—
1871C42—41no—
1872C42—42no—
1873C42—41no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—41no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—41no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—21no—
1899C23—22no—
1900C23—21no—
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—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—162no—
1927C23—162no—
1928C23C2×H(5,𝔽2)14yes—
1929C23C2×H(5,𝔽2)12yes—
1930C23C2611yescharacteristic
1931Q8—161no—
1932Q8—161no—
1933Q8—161no—
1934D4—84no—
1935D4—84no—
1936D4—84no—
1937D4—84no—
1938D4—84no—
1939D4—84no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—161no—
1946D4—161no—
1947D4—162no—
1948D4—162no—
1949D4—161no—
1950D4—162no—
1951D4—162no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
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—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—48no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—82no—
2040C2×C4—82no—
2041C2×C4—82no—
2042C2×C4—82no—
2043C2×C4—82no—
2044C2×C4—82no—
2045C2×C4—84no—
2046C2×C4—84no—
2047C2×C4—84no—
2048C2×C4—162no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4—162no—
2052C2×C4—162no—
2053C2×C4—162no—
2054C2×C4—162no—
2055C2×C4—162no—
2056C2×C4—162no—
2057C2×C4#58514yes—
2058C2×C4#58514yes—
2059C22—22no—
2060C22—22no—
2061C22—24no—
2062C22—24no—
2063C22—22no—
2064C22—24no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—164no—
2093C22C22×H(5,𝔽2)11yescharacteristic
2094C22C2×#58512yes—
2095C22C2×#58512yes—
2096C22H(7,𝔽2)11yescharacteristic
2097C222−1+611yescharacteristic
2098C4—24no—
2099C4—24no—
2100C4—42no—
2101C4—42no—
2102C4—41no—
2103C4—41no—
2104C4—41no—
2105C4—41no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—41no—
2114C4—41no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C2—42no—
2129C2—44no—
2130C2—82no—
2131C2—82no—
2132C2—82no—
2133C2#6282211yescharacteristic
2134C2#6282211yescharacteristic
2135C2#6286611yescharacteristic
2136C2#6290912yes—
2137C2#6296912yes—
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. #55610C2semidirect
2. #54850C2semidirect
3. #53977C2semidirect
4. #53830C2semidirect
5. #53785C2semidirect
6. #53663C2semidirect
7. #53488C2semidirect
8. #53410C2semidirect
9. #50780C2semidirect
10. #50770C2semidirect
11. #50670C2semidirect
12. #49872C2semidirect
13. #48772C2semidirect
14. #48151C2semidirect
15. #47851C2semidirect
16. #47849C2semidirect
17. #47849C2semidirect
18. #46917C2semidirect
19. #46661C2semidirect
20. #45118C2semidirect
21. #44717C2semidirect
22. #44036C2semidirect
23. #43328C2semidirect
24. #42949C2semidirect
25. #41753C2semidirect
26. #41299C2semidirect
27. #40834C2semidirect
28. #40663C2semidirect
29. #39302C2semidirect
30. #39085C2semidirect
31. #36960C2semidirect
32. #35837C2semidirect
33. #35837C2semidirect
34. #35467C2semidirect
35. #35467C2semidirect
43. #2844C22semidirect
44. #2839C22semidirect
45. #2837C22semidirect
46. #2836C22semidirect
47. #2836C22semidirect
49. #2833C22semidirect
50. #2828C22semidirect
52. #2826C22semidirect
53. #2823C22semidirect
54. #2820C22semidirect
55. #2807C22semidirect
56. #2799C22semidirect
57. #2797C22semidirect
58. #2796C22semidirect
59. #2793C22semidirect
60. #2792C22semidirect
61. #2792C22semidirect
62. #2791C22semidirect
63. #2791C22semidirect
64. #2790C22semidirect
65. #2790C22semidirect
66. #2787C22semidirect
67. #2786C22semidirect
68. #2786C22semidirect
69. #2784C22semidirect
70. #2783C22semidirect
71. #2782C22semidirect
72. #2782C22semidirect
73. #2781C22semidirect
74. #2780C22semidirect
75. #2780C22semidirect
76. #2779C22semidirect
77. #2778C22semidirect
78. #2776C22semidirect
79. #2774C22semidirect
80. #2774C22semidirect
81. #2773C22semidirect
82. #2772C22semidirect
83. #2772C22semidirect
84. #2772C22semidirect
85. #2769C22semidirect
86. #2768C22semidirect
87. #2768C22semidirect
88. #2767C22semidirect
89. #2767C22semidirect
90. #2765C22semidirect
91. #2761C22semidirect
92. #2755C22semidirect
93. #2754C22semidirect
94. #2753C22semidirect
95. #2748C22semidirect
96. #2747C22semidirect
99. #2739C22semidirect
100. #2739C22semidirect
103. #2733C22semidirect
104. #2724C22semidirect
105. #2723C22semidirect
109. #2722C22semidirect
110. #2721C22semidirect
113. #2717C22semidirect
118. #2715C22semidirect
119. #2714C22semidirect
126. #2706C22semidirect
127. #2706C22semidirect
128. #2705C22semidirect
129. #2703C22semidirect
130. #2703C22semidirect
139. #2695C22semidirect
148. #2690C22semidirect
157. #2680C22semidirect
167. #2666C22semidirect
168. #2666C22semidirect
169. #2655C22semidirect
170. #2654C22semidirect
171. #2652C22semidirect
172. #2652C22semidirect
173. #2651C22semidirect
180. #2649C22semidirect
181. #2648C22semidirect
182. #2643C22semidirect
185. #2630C22semidirect
187. #2624C22semidirect
192. #2609C22semidirect
193. #2609C22semidirect
194. #2602C22semidirect
195. #2601C22semidirect
196. #2597C22semidirect
197. #2594C22semidirect
200. #2587C22semidirect
201. #2586C22semidirect
202. #2585C22semidirect
208. #2578C22semidirect
213. #2575C22semidirect
214. #2575C22semidirect
215. #2574C22semidirect
216. #2571C22semidirect
217. #2570C22semidirect
220. #2569C22semidirect
221. #2569C22semidirect
222. #2566C22semidirect
231. #2555C22semidirect
232. #2554C22semidirect
233. #2554C22semidirect
246. #2553C22semidirect
255. #2521C22semidirect
256. #2520C22semidirect
257. #2518C22semidirect
263. #2517C22semidirect
268. #2513C22semidirect
271. #2508C22semidirect
272. #2508C22semidirect
273. #2507C22semidirect
274. #2505C22semidirect
293. #2474C22semidirect
298. #2471C22semidirect
299. #2471C22semidirect
300. #2470C22semidirect
317. #2443C22semidirect
320. #2442C22semidirect
321. #2441C22semidirect
345. #2382C22semidirect
346. #2377C22semidirect
347. #2370C22semidirect
348. #2368C22semidirect
351. #2363C22semidirect
352. #2359C22semidirect
353. #2359C22semidirect
363. #2345C22semidirect
364. #2337C22semidirect
365. #2335C22semidirect
366. #2335C22semidirect
367. #2334C22semidirect
368. #2334C22semidirect
371. #2318C22semidirect
372. #2317C22semidirect
374. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#556102
#548502
#539772
#538302
#537852
#536632
#534882
#534102
#507802
#507702
#506702
#498722
#487722
#481512
#478512
#478492
#469172
#466612
#451182
#447172
#440362
#433282
#429492
#417532
#412992
#408342
#406632
#393022
#390852
#369602
#358372
#354672