Finite Group Databasebeta

← #8406847

Subgroups — #8406847

Order 512.

4288 conjugacy classes of subgroups.

The subgroup lattice has 2058 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58986C212yesmaximal, complemented
2#58983C212yesmaximal, complemented
3#57893C212yesmaximal, complemented
4#57827C212yesmaximal, complemented
5#57433C212yesmaximal, complemented
6#55645C212yesmaximal, complemented
7#55632C212yesmaximal, complemented
8#55425C212yesmaximal, complemented
9#55232C212yesmaximal, complemented
10#55175C212yesmaximal, complemented
11#54929C212yesmaximal, complemented
12#54505C212yesmaximal, complemented
13#53038C212yesmaximal, complemented
14#52968C212yesmaximal, complemented
15#52852C212yesmaximal, complemented
16#52754C211yesmaximal, characteristic, complemented
17#52721C212yesmaximal, complemented
18#52617C212yesmaximal, complemented
19#52413C211yesmaximal, characteristic, complemented
20#44477C212yesmaximal, complemented
21#43688C211yesmaximal, characteristic, complemented
22#43553C211yesmaximal, characteristic, complemented
23#43490C212yesmaximal
24#43051C212yesmaximal, complemented
25#41999C212yesmaximal, complemented
26#41513C212yesmaximal, complemented
27#40838C212yesmaximal, complemented
28#40614C212yesmaximal, complemented
29#40511C212yesmaximal, complemented
30#38065C212yesmaximal, complemented
31#38037C212yesmaximal, complemented
32#36705C211yesmaximal, characteristic
33C2×#2817C211yesmaximal, characteristic, complemented
34#35794C212yesmaximal, complemented
35#35391C211yesmaximal, characteristic, complemented
36C2×#551C2212yes—
37C2×#543C2211yescharacteristic
38C2×#538C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41#2849C2212yes—
42#2844C2212yescomplemented
43#2844C2212yescomplemented
44#2843C2212yescomplemented
45#2843C2211yescharacteristic, complemented
46#2843C2211yescharacteristic, complemented
47#2841C2212yescomplemented
48#2839C2212yescomplemented
49#2839C2212yescomplemented
50#2839C2212yescomplemented
51#2839C2212yescomplemented
52#2839C2212yescomplemented
53#2838C2212yescomplemented
54#2838C2212yescomplemented
55#2838C2212yescomplemented
56#2838C2212yescomplemented
57#2838C2212yescomplemented
58#2836C2212yescomplemented
59#2835C2212yescomplemented
60#2833C2212yescomplemented
61#2833C2211yescharacteristic, complemented
62#2833C2212yescomplemented
63#2833C2212yescomplemented
64#2833C2212yescomplemented
65#2832C2211yescharacteristic, complemented
66#2831C2212yescomplemented
67#2817C2212yes—
68#2817C2212yes—
69#2817C2212yes—
70#2817C2212yes—
71#2817C2212yes—
72#2817C2212yes—
73#2817C2212yes—
74#2817C2212yes—
75#2817C2212yes—
76#2814C2212yes—
77#2814C2212yescomplemented
78#2811C2211yescharacteristic, complemented
79#2809C2211yescharacteristic, complemented
80#2806C2212yescomplemented
81#2805C2212yescomplemented
82#2802C2212yescomplemented
83#2799C2211yescharacteristic, complemented
84#2799C2211yescharacteristic, complemented
85#2795C2211yescharacteristic, complemented
86#2794C2211yescharacteristic, complemented
87#2792C2212yescomplemented
88#2792C2212yescomplemented
89#2792C2211yescharacteristic, complemented
90#2792C2212yescomplemented
91#2792C2212yescomplemented
92#2791C2212yescomplemented
93#2791C2212yescomplemented
94#2790C2212yescomplemented
95#2788C2212yescomplemented
96#2788C2212yescomplemented
97#2788C2212yescomplemented
98#2787C2212yescomplemented
99#2781C2212yescomplemented
100#2777C2212yescomplemented
101#2776C2212yescomplemented
102#2775C2212yescomplemented
103#2774C2212yescomplemented
104#2774C2212yescomplemented
105#2774C2212yescomplemented
106#2774C2212yescomplemented
107#2774C2212yescomplemented
108#2771C2212yes—
109#2771C2212yes—
110#2771C2212yescomplemented
111#2770C2212yes—
112#2770C2212yes—
113#2770C2212yescomplemented
114#2769C2212yescomplemented
115#2769C2212yescomplemented
116#2767C2212yescomplemented
117#2766C2212yescomplemented
118#2765C2212yes—
119#2765C2212yes—
120#2765C2212yes—
121#2764C2212yes—
122#2763C2212yescomplemented
123#2763C2212yescomplemented
124#2762C2212yescomplemented
125#2762C2212yescomplemented
126#2761C2212yes—
127#2759C2212yescomplemented
128#2759C2212yescomplemented
129#2758C2212yescomplemented
130#2758C2212yescomplemented
131#2758C2212yescomplemented
132#2755C2212yescomplemented
133#2755C2212yescomplemented
134#2755C2212yescomplemented
135#2754C2212yescomplemented
136#2751C2212yes—
137#2750C2212yes—
138#2747C2212yes—
139#2744C2212yescomplemented
140#2743C2212yes—
141#2742C2212yescomplemented
142#2742C2212yescomplemented
143#2739C2212yes—
144#2739C2212yescomplemented
145#2738C2212yes—
146#2738C2212yescomplemented
147#2734C2212yescomplemented
148#2734C2212yescomplemented
149#2734C2212yescomplemented
150#2734C2212yescomplemented
151#2729C2212yescomplemented
152#2724C2212yes—
153#2722C2212yes—
154#2720C2212yescomplemented
155#2720C2212yescomplemented
156#2717C2212yes—
157#2717C2212yescomplemented
158#2713C2212yescomplemented
159#2713C2212yescomplemented
160#2708C2212yes—
161#2700C2212yes—
162#2698C2212yes—
163#2698C2212yes—
164#2698C2212yes—
165#2698C2212yes—
166#2698C2212yes—
167#2695C2212yes—
168#2690C2212yes—
169#2690C2212yescomplemented
170#2689C2212yes—
171#2689C2212yes—
172#2689C2212yes—
173#2689C2212yes—
174#2689C2212yes—
175#2689C2212yes—
176#2687C2212yes—
177#2687C2212yes—
178#2687C2212yes—
179#2686C2212yes—
180#2680C2212yes—
181#2680C2212yes—
182#2680C2212yes—
183#2680C2211yescharacteristic, complemented
184#2677C2212yescomplemented
185#2674C2212yes—
186#2674C2212yes—
187#2674C2212yes—
188#2674C2212yes—
189#2674C2212yes—
190#2674C2212yes—
191#2674C2212yescomplemented
192#2672C2212yes—
193#2672C2212yes—
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2666C2212yescomplemented
197#2666C2212yescomplemented
198#2666C2212yescomplemented
199#2665C2212yescomplemented
200#2663C2212yes—
201#2660C2212yescomplemented
202#2660C2212yescomplemented
203#2659C2212yescomplemented
204#2655C2212yescomplemented
205#2654C2212yescomplemented
206#2653C2212yes—
207#2652C2212yes—
208#2650C2212yescomplemented
209#2646C2212yes—
210#2645C2212yescomplemented
211#2643C2212yes—
212#2638C2212yes—
213#2632C2212yescomplemented
214#2628C2212yescomplemented
215#2628C2212yescomplemented
216#2627C2212yes—
217#2625C2212yes—
218#2623C2212yes—
219#2622C2212yes—
220#2621C2212yes—
221#2612C2212yescomplemented
222#2599C2212yes—
223#2595C2212yes—
224#2591C2211yescharacteristic
225#2588C2212yescomplemented
226#2587C2212yescomplemented
227#2586C2211yescharacteristic, complemented
228#2586C2212yescomplemented
229#2583C2211yescharacteristic
230#2583C2212yes—
231#2583C2211yescharacteristic
232#2583C2211yescharacteristic
233#2579C2212yes—
234#2578C2212yes—
235#2577C2212yes—
236#2577C2212yes—
237#2577C2212yes—
238#2572C2211yescharacteristic, complemented
239#2571C2211yescharacteristic, complemented
240#2569C2212yes—
241#2567C2212yescomplemented
242#2553C2212yes—
243#2551C2212yescomplemented
244#2551C2211yescharacteristic, complemented
245#2550C2212yescomplemented
246#2549C2212yes—
247#2549C2212yes—
248#2549C2212yes—
249#2549C2212yes—
250#2549C2212yes—
251#2547C2212yes—
252#2532C2212yescomplemented
253#2531C2212yes—
254#2530C2212yes—
255#2530C2212yescomplemented
256#2529C2212yescomplemented
257#2527C2212yes—
258#2523C2212yes—
259#2518C2212yes—
260#2517C2212yes—
261#2515C2212yes—
262#2511C2212yescomplemented
263#2510C2212yes—
264#2510C2212yes—
265#2509C2212yescomplemented
266#2509C2212yescomplemented
267#2508C2212yescomplemented
268#2505C2212yes—
269#2505C2212yes—
270#2505C2212yes—
271#2505C2212yescomplemented
272#2505C2212yescomplemented
273#2503C2212yes—
274#2502C2211yescharacteristic
275#2502C2211yescharacteristic
276#2499C2212yes—
277#2497C2212yescomplemented
278#2497C2212yescomplemented
279#2496C2212yes—
280#2494C2212yes—
281#2494C2212yes—
282#2493C2212yes—
283#2493C2212yes—
284#2493C2212yes—
285#2493C2212yes—
286#2493C2212yes—
287#2489C2212yes—
288#2488C2212yes—
289#2488C2212yes—
290#2488C2212yes—
291#2488C2212yes—
292#2488C2212yes—
293#2488C2212yes—
294#2487C2212yes—
295#2486C2212yes—
296#2484C2212yes—
297#2484C2212yes—
298#2483C2212yes—
299#2478C2212yes—
300#2477C2212yes—
301#2475C2212yes—
302#2474C2212yes—
303#2474C2212yescomplemented
304#2473C2212yes—
305#2473C2212yes—
306#2460C2212yes—
307#2451C2212yescomplemented
308#2451C2212yescomplemented
309#2450C2212yes—
310#2450C2212yes—
311#2450C2212yes—
312#2449C2212yes—
313#2449C2212yes—
314#2449C2212yes—
315#2443C2212yes—
316#2440C2212yes—
317#2440C2212yes—
318#2440C2212yes—
319#2440C2212yes—
320#2440C2212yes—
321#2440C2212yes—
322#2440C2212yes—
323#2440C2212yes—
324#2438C2212yes—
325#2438C2212yes—
326#2438C2212yes—
327#2438C2212yes—
328#2438C2212yes—
329#2438C2212yes—
330#2438C2212yescomplemented
331#2437C2212yes—
332#2436C2211yescharacteristic
333#2434C2211yescharacteristic
334#2434C2212yes—
335#2434C2212yes—
336#2425C2212yes—
337#2425C2212yes—
338#2422C2212yes—
339#2421C2212yes—
340#2419C2212yes—
341#2419C2212yes—
342#2419C2212yes—
343#2415C2212yes—
344#2413C2212yes—
345#2413C2212yes—
346#2412C2212yes—
347#2412C2212yes—
348#2409C2212yes—
349#2401C2212yes—
350#2395C2212yes—
351C2×#400C2211yescharacteristic
352C2×#400C2211yescharacteristic
353C2×#400C2212yes—
354C2×#397C2212yes—
355C2×#397C2212yes—
356C2×#395C2212yes—
357C2×#395C2211yescharacteristic
358C2×#395C2211yescharacteristic
359#2368C2212yes—
360#2360C2212yes—
361#2359C2212yes—
362#2359C2212yes—
363#2358C2212yes—
364#2352C2212yes—
365#2349C2212yes—
366#2343C2212yes—
367#2343C2212yes—
368#2342C2212yes—
369#2342C2212yes—
370#2329C2212yes—
371#2322C2212yes—
372#2318C2212yes—
373#2317C2212yes—
374#2315C2212yes—
375#2312C2211yescharacteristic
376C2×#385C2212yes—
377C2×#381C2211yescharacteristic
378#2273C2211yescharacteristic
379C23×Q8C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#551—48no—
383#543—44no—
384#538—44no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×C22⋊Q8—44no—
410C2×C22⋊Q8—44no—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#120C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463#401C2312yes—
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
469#400C2311yescharacteristic
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2311yescharacteristic
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2311yescharacteristic
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2311yescharacteristic
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2311yescharacteristic
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2311yescharacteristic
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2311yescharacteristic
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2311yescharacteristic
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#395C2312yes—
664#395C2311yescharacteristic
665#395C2311yescharacteristic
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2311yescharacteristic
678#395C2311yescharacteristic
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2311yescharacteristic
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#395C2312yes—
698#395C2312yes—
699#395C2311yescharacteristic
700#395C2312yes—
701#395C2312yes—
702#395C2312yes—
703#395C2312yes—
704#395C2312yes—
705#395C2312yes—
706#395C2312yes—
707#395C2312yes—
708#395C2312yes—
709#395C2312yes—
710#395C2312yes—
711#395C2312yes—
712#394C2311yescharacteristic
713#394C2311yescharacteristic
714#394C2312yes—
715#394C2312yes—
716#394C2312yes—
717#394C2312yes—
718#394C2312yes—
719#394C2312yes—
720#394C2312yes—
721#394C2312yes—
722#394C2312yes—
723#394C2312yes—
724#393C2312yes—
725#393C2312yes—
726#393C2312yes—
727#393C2312yes—
728#393C2312yes—
729#393C2312yes—
730#393C2312yes—
731#393C2312yes—
732#393C2312yes—
733#393C2312yes—
734#393C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2311yescharacteristic
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2311yescharacteristic
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#390C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
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#389C2312yes—
810#389C2312yes—
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#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#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#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#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#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#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#384C2311yescharacteristic
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2311yescharacteristic
998#384C2311yescharacteristic
999#384C2312yes—
1000#384C2311yescharacteristic
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
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—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#379C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C22⋊C4C2311yescharacteristic
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2311yescharacteristic
1093C2×#95C2311yescharacteristic
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8—42no—
1105C22×Q8—42no—
1106C22×Q8—82no—
1107C22×Q8—82no—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C23×C4—24no—
1124C23×C4—82no—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C4⋊Q8—82no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147C4⋊Q8—82no—
1148C4⋊Q8—82no—
1149C4⋊Q8—82no—
1150C4⋊Q8—82no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#125—82no—
1155#125—82no—
1156#124—44no—
1157#124—44no—
1158#124—82no—
1159#123—28no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—82no—
1165#123—82no—
1166#123—82no—
1167#123—82no—
1168C22⋊Q8—28no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—42no—
1178C22⋊Q8—42no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—42no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—82no—
1188C22⋊Q8—82no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191#121—44no—
1192#121—42no—
1193#120—28no—
1194C4×Q8—82no—
1195C4×D4—28no—
1196C4×D4—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—82no—
1200#117—28no—
1201#117—44no—
1202#117—44no—
1203#117—82no—
1204#117—82no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4—44no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4—82no—
1211C2×C4⋊C4—82no—
1212C2×C4⋊C4—82no—
1213C2×C4⋊C4—82no—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊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×C22⋊C4—24no—
1315C2×C22⋊C4—24no—
1316C2×C22⋊C4—28no—
1317C2×C22⋊C4—28no—
1318C2×C22⋊C4—28no—
1319C2×C22⋊C4—82no—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2411yescharacteristic
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2411yescharacteristic
1411#95C2412yes—
1412#95C2412yes—
1413#95C2411yescharacteristic
1414#95C2412yes—
1415#95C2411yescharacteristic
1416#95C2412yes—
1417#95C2411yescharacteristic
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
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#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2411yescharacteristic
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2411yescharacteristic
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2411yescharacteristic
1472#95C2411yescharacteristic
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528C24—24no—
1529C24—42no—
1530C24—41no—
1531C24—41no—
1532C24H(5,𝔽2)14yes—
1533C24C2512yes—
1534C24C2512yes—
1535C24C2511yescharacteristic
1536C2×Q8—24no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—41no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—41no—
1566C2×Q8—88no—
1567C2×Q8—88no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—41no—
1578C2×D4—42no—
1579C22×C4—24no—
1580C22×C4—22no—
1581C22×C4—22no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—22no—
1585C22×C4—22no—
1586C22×C4—24no—
1587C22×C4—22no—
1588C22×C4—22no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—41no—
1620C22×C4—41no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—41no—
1625C22×C4—41no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—88no—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2511yescharacteristic
1649C22×C4C2511yescharacteristic
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2511yescharacteristic
1654C22×C4C2511yescharacteristic
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2511yescharacteristic
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—41no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—41no—
1683C4⋊C4—41no—
1684C4⋊C4—41no—
1685C4⋊C4—42no—
1686C4⋊C4—41no—
1687C4⋊C4—41no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
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—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
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—41no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—41no—
1742C4⋊C4—41no—
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—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
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—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
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⋊C42−1+418yes—
1818C42—24no—
1819C42—24no—
1820C42—24no—
1821C42—41no—
1822C42—42no—
1823C42—41no—
1824C42—42no—
1825C42—42no—
1826C42—41no—
1827C42—41no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C23—22no—
1842C23—21no—
1843C23—21no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—28no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—44no—
1859C23—44no—
1860C23—84no—
1861C23—84no—
1862C23C2×H(5,𝔽2)14yes—
1863C23C2×H(5,𝔽2)12yes—
1864C23C2×2−1+414yes—
1865C23C2611yescharacteristic
1866Q8—84no—
1867Q8—82no—
1868Q8—84no—
1869Q8—84no—
1870Q8—84no—
1871Q8—82no—
1872Q8—162no—
1873Q8—162no—
1874Q8—161no—
1875Q8—161no—
1876Q8—161no—
1877D4—48no—
1878D4—84no—
1879D4—84no—
1880D4—161no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—44no—
1972C2×C4—44no—
1973C2×C4—48no—
1974C2×C4—84no—
1975C2×C4—84no—
1976C2×C4—84no—
1977C2×C4—84no—
1978C2×C4—84no—
1979C2×C4—84no—
1980C2×C4—82no—
1981C2×C4—82no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—84no—
1985C2×C4—84no—
1986C2×C4—82no—
1987C2×C4—82no—
1988C2×C4—162no—
1989C2×C4—162no—
1990C2×C4C2×2−1+414yes—
1991C2×C4C2×2−1+414yes—
1992C22—24no—
1993C22—24no—
1994C22—22no—
1995C22—22no—
1996C22—24no—
1997C22—24no—
1998C22—24no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—88no—
2011C22#354414yes—
2012C22C22×H(5,𝔽2)11yescharacteristic
2013C22C22×2−1+412yes—
2014C22H(7,𝔽2)12yes—
2015C222−1+611yescharacteristic
2016C222−1+611yescharacteristic
2017C4—24no—
2018C4—24no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—41no—
2034C4—41no—
2035C4—42no—
2036C4—42no—
2037C4—41no—
2038C4—41no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—41no—
2047C4—41no—
2048C4—42no—
2049C2—24no—
2050C2—44no—
2051C2—82no—
2052C2C2×#354411yescharacteristic
2053C2#6286311yescharacteristic
2054C2#6287111yescharacteristic
2055C2#6305812yes—
2056C2#6305812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#538C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #58986C2semidirect
2. #58983C2semidirect
3. #57893C2semidirect
4. #57827C2semidirect
5. #57433C2semidirect
6. #55645C2semidirect
7. #55632C2semidirect
8. #55425C2semidirect
9. #55232C2semidirect
10. #55175C2semidirect
11. #54929C2semidirect
12. #54505C2semidirect
13. #53038C2semidirect
14. #52968C2semidirect
15. #52852C2semidirect
16. #52754C2semidirect
17. #52721C2semidirect
18. #52617C2semidirect
19. #52413C2semidirect
20. #44477C2semidirect
21. #43688C2semidirect
22. #43553C2semidirect
24. #43051C2semidirect
25. #41999C2semidirect
26. #41513C2semidirect
27. #40838C2semidirect
28. #40614C2semidirect
29. #40511C2semidirect
30. #38065C2semidirect
31. #38037C2semidirect
33. C2×#2817C2semidirect
34. #35794C2semidirect
35. #35391C2semidirect
42. #2844C22semidirect
43. #2844C22semidirect
44. #2843C22semidirect
45. #2843C22semidirect
46. #2843C22semidirect
47. #2841C22semidirect
48. #2839C22semidirect
49. #2839C22semidirect
50. #2839C22semidirect
51. #2839C22semidirect
52. #2839C22semidirect
53. #2838C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2838C22semidirect
58. #2836C22semidirect
59. #2835C22semidirect
60. #2833C22semidirect
61. #2833C22semidirect
62. #2833C22semidirect
63. #2833C22semidirect
64. #2833C22semidirect
65. #2832C22semidirect
66. #2831C22semidirect
77. #2814C22semidirect
78. #2811C22semidirect
79. #2809C22semidirect
80. #2806C22semidirect
81. #2805C22semidirect
82. #2802C22semidirect
83. #2799C22semidirect
84. #2799C22semidirect
85. #2795C22semidirect
86. #2794C22semidirect
87. #2792C22semidirect
88. #2792C22semidirect
89. #2792C22semidirect
90. #2792C22semidirect
91. #2792C22semidirect
92. #2791C22semidirect
93. #2791C22semidirect
94. #2790C22semidirect
95. #2788C22semidirect
96. #2788C22semidirect
97. #2788C22semidirect
98. #2787C22semidirect
99. #2781C22semidirect
100. #2777C22semidirect
101. #2776C22semidirect
102. #2775C22semidirect
103. #2774C22semidirect
104. #2774C22semidirect
105. #2774C22semidirect
106. #2774C22semidirect
107. #2774C22semidirect
110. #2771C22semidirect
113. #2770C22semidirect
114. #2769C22semidirect
115. #2769C22semidirect
116. #2767C22semidirect
117. #2766C22semidirect
122. #2763C22semidirect
123. #2763C22semidirect
124. #2762C22semidirect
125. #2762C22semidirect
127. #2759C22semidirect
128. #2759C22semidirect
129. #2758C22semidirect
130. #2758C22semidirect
131. #2758C22semidirect
132. #2755C22semidirect
133. #2755C22semidirect
134. #2755C22semidirect
135. #2754C22semidirect
139. #2744C22semidirect
141. #2742C22semidirect
142. #2742C22semidirect
144. #2739C22semidirect
146. #2738C22semidirect
147. #2734C22semidirect
148. #2734C22semidirect
149. #2734C22semidirect
150. #2734C22semidirect
151. #2729C22semidirect
154. #2720C22semidirect
155. #2720C22semidirect
157. #2717C22semidirect
158. #2713C22semidirect
159. #2713C22semidirect
169. #2690C22semidirect
183. #2680C22semidirect
184. #2677C22semidirect
191. #2674C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
196. #2666C22semidirect
197. #2666C22semidirect
198. #2666C22semidirect
199. #2665C22semidirect
201. #2660C22semidirect
202. #2660C22semidirect
203. #2659C22semidirect
204. #2655C22semidirect
205. #2654C22semidirect
208. #2650C22semidirect
210. #2645C22semidirect
213. #2632C22semidirect
214. #2628C22semidirect
215. #2628C22semidirect
221. #2612C22semidirect
225. #2588C22semidirect
226. #2587C22semidirect
227. #2586C22semidirect
228. #2586C22semidirect
238. #2572C22semidirect
239. #2571C22semidirect
241. #2567C22semidirect
243. #2551C22semidirect
244. #2551C22semidirect
245. #2550C22semidirect
252. #2532C22semidirect
255. #2530C22semidirect
256. #2529C22semidirect
262. #2511C22semidirect
265. #2509C22semidirect
266. #2509C22semidirect
267. #2508C22semidirect
271. #2505C22semidirect
272. #2505C22semidirect
277. #2497C22semidirect
278. #2497C22semidirect
303. #2474C22semidirect
307. #2451C22semidirect
308. #2451C22semidirect
330. #2438C22semidirect

Maximal subgroups

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

subgroupindex
#589862
#589832
#578932
#578272
#574332
#556452
#556322
#554252
#552322
#551752
#549292
#545052
#530382
#529682
#528522
#527542
#527212
#526172
#524132
#444772
#436882
#435532
#434902
#430512
#419992
#415132
#408382
#406142
#405112
#380652
#380372
#367052
C2×#28172
#357942
#353912