Finite Group Databasebeta

← #8935490

Subgroups — #8935490

Order 512.

4560 conjugacy classes of subgroups.

The subgroup lattice has 2150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58612C212yesmaximal, complemented
2#58611C212yesmaximal, complemented
3#53758C212yesmaximal, complemented
4#53753C212yesmaximal, complemented
5#53722C212yesmaximal, complemented
6#53717C212yesmaximal, complemented
7#51648C212yesmaximal, complemented
8#51552C212yesmaximal, complemented
9#51326C212yesmaximal, complemented
10#50645C212yesmaximal, complemented
11#49568C212yesmaximal, complemented
12#49526C212yesmaximal, complemented
13#49304C212yesmaximal, complemented
14#48158C212yesmaximal, complemented
15#47855C212yesmaximal, complemented
16#47197C212yesmaximal, complemented
17#47007C212yesmaximal, complemented
18#45331C212yesmaximal, complemented
19#45272C212yesmaximal, complemented
20#44468C212yesmaximal, complemented
21#43133C212yesmaximal, complemented
22#42496C212yesmaximal, complemented
23#42339C212yesmaximal, complemented
24#42008C212yesmaximal, complemented
25#40972C212yesmaximal, complemented
26#40683C212yesmaximal, complemented
27#37956C211yesmaximal, characteristic, complemented
28#37933C211yesmaximal, characteristic, complemented
29#37760C211yesmaximal, characteristic
30#37753C211yesmaximal, characteristic
31#36708C211yesmaximal, characteristic, complemented
32#35954C212yesmaximal, complemented
33#35749C212yesmaximal, complemented
34#35661C211yesmaximal, characteristic
35#35391C211yesmaximal, characteristic, complemented
36C2×#563C2212yes—
37C2×#557C2212yescomplemented
38C2×#544C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#543C2211yescharacteristic
41C2×#539C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#519C2211yescharacteristic
46#2848C2211yescharacteristic
47#2848C2211yescharacteristic
48#2843C2212yescomplemented
49#2843C2212yescomplemented
50#2841C2212yes—
51#2841C2212yescomplemented
52#2839C2212yescomplemented
53#2836C2212yescomplemented
54#2833C2212yescomplemented
55#2831C2212yescomplemented
56#2831C2212yescomplemented
57#2814C2212yes—
58#2809C2212yescomplemented
59#2806C2212yescomplemented
60#2802C2212yescomplemented
61#2792C2212yescomplemented
62#2791C2212yescomplemented
63#2791C2212yescomplemented
64#2791C2212yescomplemented
65#2790C2212yes—
66#2790C2212yescomplemented
67#2788C2212yes—
68#2788C2212yes—
69#2788C2212yescomplemented
70#2788C2212yescomplemented
71#2787C2212yes—
72#2787C2212yes—
73#2781C2212yes—
74#2776C2212yescomplemented
75#2774C2212yescomplemented
76#2772C2212yescomplemented
77#2770C2212yes—
78#2770C2212yescomplemented
79#2770C2212yescomplemented
80#2770C2212yescomplemented
81#2768C2212yes—
82#2766C2212yescomplemented
83#2766C2212yescomplemented
84#2766C2212yescomplemented
85#2765C2212yes—
86#2765C2212yes—
87#2759C2212yescomplemented
88#2758C2212yescomplemented
89#2758C2212yescomplemented
90#2757C2212yes—
91#2751C2212yes—
92#2748C2212yes—
93#2746C2212yes—
94#2746C2212yes—
95#2745C2212yes—
96#2745C2212yes—
97#2744C2212yes—
98#2743C2212yes—
99#2740C2212yes—
100#2739C2212yes—
101#2738C2212yes—
102#2738C2212yes—
103#2738C2212yescomplemented
104#2737C2212yescomplemented
105#2734C2212yescomplemented
106#2729C2212yes—
107#2729C2212yes—
108#2729C2212yescomplemented
109#2728C2212yes—
110#2726C2212yescomplemented
111#2726C2212yescomplemented
112#2726C2212yescomplemented
113#2725C2212yescomplemented
114#2724C2212yes—
115#2723C2212yes—
116#2721C2212yescomplemented
117#2720C2212yes—
118#2720C2212yes—
119#2720C2212yescomplemented
120#2719C2212yescomplemented
121#2718C2212yes—
122#2718C2212yes—
123#2717C2212yes—
124#2716C2212yescomplemented
125#2713C2212yescomplemented
126#2713C2212yescomplemented
127#2713C2212yescomplemented
128#2713C2212yescomplemented
129#2713C2212yescomplemented
130#2711C2212yes—
131#2708C2212yes—
132#2707C2212yes—
133#2707C2212yes—
134#2707C2212yescomplemented
135#2704C2212yes—
136#2704C2212yescomplemented
137#2702C2212yes—
138#2700C2212yes—
139#2698C2212yes—
140#2698C2212yes—
141#2695C2212yes—
142#2694C2212yes—
143#2692C2212yes—
144#2690C2212yes—
145#2690C2212yes—
146#2690C2212yes—
147#2690C2212yes—
148#2690C2212yes—
149#2689C2212yes—
150#2689C2212yes—
151#2689C2212yescomplemented
152#2689C2212yescomplemented
153#2687C2212yes—
154#2680C2212yes—
155#2677C2212yes—
156#2677C2212yes—
157#2677C2212yes—
158#2677C2212yes—
159#2677C2212yes—
160#2677C2212yescomplemented
161#2677C2212yescomplemented
162#2677C2212yescomplemented
163#2674C2212yes—
164#2674C2212yescomplemented
165#2674C2212yescomplemented
166#2666C2212yescomplemented
167#2666C2212yescomplemented
168#2666C2212yescomplemented
169#2665C2212yes—
170#2665C2212yescomplemented
171#2665C2212yescomplemented
172#2663C2212yes—
173#2663C2212yes—
174#2663C2212yes—
175#2659C2211yescharacteristic
176#2659C2211yescharacteristic
177#2655C2212yescomplemented
178#2655C2212yescomplemented
179#2654C2212yescomplemented
180#2647C2212yescomplemented
181#2646C2211yescharacteristic
182#2639C2211yescharacteristic
183#2637C2212yescomplemented
184#2637C2212yescomplemented
185#2634C2212yescomplemented
186#2634C2212yescomplemented
187#2627C2211yescharacteristic
188#2627C2211yescharacteristic
189#2627C2211yescharacteristic
190#2627C2211yescharacteristic
191#2627C2211yescharacteristic
192#2627C2212yescomplemented
193#2621C2212yes—
194#2618C2211yescharacteristic
195#2611C2212yes—
196#2611C2212yes—
197#2605C2212yescomplemented
198#2599C2212yes—
199#2599C2212yes—
200#2597C2212yes—
201#2595C2212yes—
202#2594C2212yescomplemented
203#2587C2212yes—
204#2586C2212yescomplemented
205#2585C2212yescomplemented
206#2585C2212yescomplemented
207#2583C2212yes—
208#2583C2212yes—
209#2581C2212yescomplemented
210#2580C2212yes—
211#2577C2212yes—
212#2574C2212yescomplemented
213#2573C2212yes—
214#2573C2212yes—
215#2573C2212yes—
216#2573C2212yes—
217#2573C2212yescomplemented
218#2572C2212yes—
219#2572C2212yes—
220#2570C2212yescomplemented
221#2567C2212yescomplemented
222#2561C2212yes—
223#2561C2212yes—
224#2560C2212yes—
225#2560C2212yes—
226#2556C2212yes—
227#2556C2212yes—
228#2556C2212yes—
229#2556C2212yescomplemented
230#2556C2212yescomplemented
231#2556C2212yescomplemented
232#2552C2212yescomplemented
233#2551C2212yescomplemented
234#2551C2212yescomplemented
235#2551C2212yescomplemented
236#2550C2212yescomplemented
237#2549C2212yes—
238#2549C2212yes—
239#2549C2212yes—
240#2549C2212yes—
241#2546C2212yescomplemented
242#2546C2212yescomplemented
243#2538C2212yes—
244#2538C2212yes—
245#2536C2212yes—
246#2536C2212yes—
247#2536C2212yes—
248#2534C2212yes—
249#2532C2212yescomplemented
250#2530C2212yes—
251#2530C2212yes—
252#2526C2212yescomplemented
253#2522C2212yes—
254#2522C2212yescomplemented
255#2521C2212yescomplemented
256#2521C2212yescomplemented
257#2520C2212yescomplemented
258#2519C2212yescomplemented
259#2519C2212yescomplemented
260#2516C2212yes—
261#2516C2212yes—
262#2515C2212yes—
263#2515C2212yes—
264#2509C2212yescomplemented
265#2508C2212yescomplemented
266#2507C2212yescomplemented
267#2506C2212yescomplemented
268#2502C2212yes—
269#2497C2212yescomplemented
270#2494C2212yescomplemented
271#2493C2212yes—
272#2492C2212yes—
273#2489C2212yes—
274#2485C2212yes—
275#2484C2212yes—
276#2482C2212yes—
277#2482C2212yes—
278#2480C2212yes—
279#2480C2212yes—
280#2478C2212yes—
281#2478C2212yes—
282#2478C2212yes—
283#2478C2212yes—
284#2475C2212yes—
285#2475C2212yes—
286#2475C2212yes—
287#2475C2212yes—
288#2474C2212yes—
289#2473C2212yes—
290#2472C2212yes—
291#2470C2212yes—
292#2469C2212yescomplemented
293#2468C2212yes—
294#2465C2212yes—
295#2462C2212yescomplemented
296#2462C2212yescomplemented
297#2462C2212yescomplemented
298#2462C2212yescomplemented
299#2462C2212yescomplemented
300#2460C2212yes—
301#2460C2212yes—
302#2458C2212yes—
303#2458C2212yes—
304#2458C2212yescomplemented
305#2453C2212yescomplemented
306#2452C2212yes—
307#2452C2212yes—
308#2451C2212yescomplemented
309#2449C2212yes—
310#2449C2212yes—
311#2446C2212yescomplemented
312#2446C2212yescomplemented
313#2441C2212yes—
314#2440C2212yes—
315#2440C2212yes—
316#2440C2212yes—
317#2440C2212yes—
318#2440C2212yescomplemented
319#2440C2212yescomplemented
320#2434C2212yes—
321#2434C2212yes—
322#2432C2212yes—
323#2429C2212yes—
324#2429C2212yes—
325#2429C2212yes—
326#2429C2212yescomplemented
327#2426C2212yes—
328#2426C2212yes—
329#2419C2212yes—
330#2418C2212yes—
331#2413C2212yes—
332#2413C2212yes—
333#2411C2212yes—
334#2411C2212yes—
335#2411C2212yes—
336#2406C2212yes—
337#2399C2212yescomplemented
338#2399C2212yescomplemented
339#2396C2212yes—
340#2396C2212yes—
341#2395C2212yes—
342#2382C2212yescomplemented
343#2378C2212yescomplemented
344#2374C2212yes—
345#2374C2212yes—
346#2370C2212yescomplemented
347#2365C2212yescomplemented
348#2365C2212yescomplemented
349#2362C2212yes—
350#2362C2212yes—
351#2362C2212yes—
352#2360C2212yes—
353#2359C2212yes—
354#2357C2212yes—
355#2356C2212yescomplemented
356D4×C4⋊C4C2212yes—
357#2347C2212yes—
358#2345C2212yescomplemented
359#2343C2212yes—
360#2335C2212yes—
361#2329C2211yescharacteristic
362#2329C2211yescharacteristic
363#2329C2211yescharacteristic
364#2325C2211yescharacteristic
365#2323C2212yes—
366#2319C2212yes—
367#2317C2211yescharacteristic
368#2316C2211yescharacteristic
369#2315C2211yescharacteristic
370#2315C2211yescharacteristic
371#2314C2212yes—
372#2313C2211yescharacteristic
373#2313C2211yescharacteristic
374#2311C2211yescharacteristic
375C2×#385C2211yescharacteristic
376C2×#385C2211yescharacteristic
377#2280C2211yescharacteristic
378#2273C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#563—48no—
383#557—48no—
384#544—44no—
385#544—44no—
386#543—44no—
387#539—44no—
388#536—44no—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419#525—44no—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×C22⋊Q8—44no—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×#121C2311yescharacteristic
456C2×#121C2311yescharacteristic
457C2×#120C2312yes—
458#519—44no—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×#117C2312yes—
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2311yescharacteristic
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2311yescharacteristic
491C22×C22⋊C4C2311yescharacteristic
492C22×C22⋊C4C2311yescharacteristic
493C22×C22⋊C4C2311yescharacteristic
494#401C2312yes—
495#401C2312yes—
496#401C2312yes—
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#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
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#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
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#398C2312yes—
608#398C2312yes—
609#398C2312yes—
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#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
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#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#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#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#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#387C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
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#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#384C2312yes—
1005#384C2312yes—
1006#384C2312yes—
1007#384C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
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#380C2312yes—
1034#380C2312yes—
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#379C2312yes—
1059#379C2312yes—
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×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102#376C2312yes—
1103#376C2312yes—
1104C2×#95C2311yescharacteristic
1105C2×#95C2311yescharacteristic
1106C2×#95C2311yescharacteristic
1107C2×#95C2311yescharacteristic
1108C25C2411yescharacteristic
1109C2×#41—42no—
1110C2×#41—42no—
1111C2×#41—42no—
1112C22×Q8—24no—
1113C22×Q8—42no—
1114C22×Q8—42no—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×Q8C2412yes—
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2411yescharacteristic
1123C22×Q8C2412yes—
1124C22×Q8C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C23×C4—42no—
1130C23×C4—42no—
1131C23×C4—42no—
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2411yescharacteristic
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2411yescharacteristic
1151C23×C4C2411yescharacteristic
1152C23×C4C2411yescharacteristic
1153C4⋊Q8—44no—
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158C4⋊Q8—44no—
1159C4⋊Q8—44no—
1160C4⋊Q8—44no—
1161C4⋊Q8—44no—
1162C4⋊Q8—44no—
1163C4⋊Q8—44no—
1164C4⋊Q8—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#126—44no—
1170#125—28no—
1171#125—28no—
1172#125—44no—
1173#125—44no—
1174#125—44no—
1175#125—44no—
1176#125—44no—
1177#125—44no—
1178#125—44no—
1179#125—44no—
1180#125—44no—
1181#124—44no—
1182#124—44no—
1183#123—28no—
1184#123—28no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190C22⋊Q8—28no—
1191C22⋊Q8—28no—
1192C22⋊Q8—28no—
1193C22⋊Q8—24no—
1194C22⋊Q8—44no—
1195C22⋊Q8—42no—
1196C22⋊Q8—42no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—42no—
1212C22⋊Q8—44no—
1213C22⋊Q8—42no—
1214C22⋊Q8—42no—
1215C22⋊Q8—42no—
1216C22⋊Q8—42no—
1217#121—24no—
1218#121—42no—
1219#120—44no—
1220C4×Q8—28no—
1221C4×Q8—44no—
1222C4×Q8—44no—
1223C4×Q8—44no—
1224C4×Q8—44no—
1225C4×Q8—44no—
1226C4×Q8—44no—
1227C4×Q8—44no—
1228C4×Q8—44no—
1229C4×D4—28no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233#117—28no—
1234#117—24no—
1235#117—42no—
1236#117—44no—
1237#117—44no—
1238#117—44no—
1239#117—42no—
1240#117—44no—
1241C2×C4⋊C4—24no—
1242C2×C4⋊C4—42no—
1243C2×C4⋊C4—44no—
1244C2×C4⋊C4—42no—
1245C2×C4⋊C4—42no—
1246C2×C4⋊C4—42no—
1247C2×C4⋊C4—42no—
1248C2×C4⋊C4—42no—
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C22⋊C4—24no—
1359C2×C22⋊C4—24no—
1360C2×C22⋊C4—24no—
1361C2×C22⋊C4—42no—
1362C2×C22⋊C4—42no—
1363C2×C22⋊C4—42no—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
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×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562C24—22no—
1563C24—22no—
1564C24—22no—
1565C24—41no—
1566C24—41no—
1567C24—41no—
1568C24—41no—
1569C24C2512yes—
1570C24C2511yescharacteristic
1571C24C2511yescharacteristic
1572C24C2511yescharacteristic
1573#41—88no—
1574C2×Q8—24no—
1575C2×Q8—24no—
1576C2×Q8—24no—
1577C2×Q8—24no—
1578C2×Q8—24no—
1579C2×Q8—22no—
1580C2×Q8—24no—
1581C2×Q8—24no—
1582C2×Q8—42no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—41no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—41no—
1592C2×Q8—42no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—42no—
1596C2×Q8—41no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—42no—
1600C2×Q8—41no—
1601C2×Q8—42no—
1602C2×Q8—42no—
1603C2×Q8—42no—
1604C2×Q8—416no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—22no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—41no—
1614C2×D4—42no—
1615C2×D4—41no—
1616C2×D4—42no—
1617C22×C4—22no—
1618C22×C4—22no—
1619C22×C4—22no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—24no—
1629C22×C4—22no—
1630C22×C4—22no—
1631C22×C4—24no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—41no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—41no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—41no—
1677C22×C4—88no—
1678C22×C4H(5,𝔽2)14yes—
1679C22×C42−1+414yes—
1680C22×C42−1+414yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—22no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
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—
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—41no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
1801C4⋊C4—41no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4H(5,𝔽2)14yes—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C42—24no—
1879C42—24no—
1880C42—24no—
1881C42—24no—
1882C42—24no—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—24no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C23—28no—
1908C23—21no—
1909C23—21no—
1910C23—21no—
1911C23—21no—
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—21no—
1916C23—21no—
1917C23—21no—
1918C23—21no—
1919C23—21no—
1920C23—21no—
1921C23—21no—
1922C23—21no—
1923C23—21no—
1924C23—21no—
1925C23—21no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—82no—
1934C23—82no—
1935C23—82no—
1936C23—82no—
1937C23—82no—
1938C23—82no—
1939C23C2×H(5,𝔽2)12yes—
1940C23C2×2−1+412yes—
1941C23C2×2−1+412yes—
1942C23C2611yescharacteristic
1943Q8—48no—
1944Q8—48no—
1945Q8—48no—
1946Q8—84no—
1947Q8—84no—
1948Q8—82no—
1949Q8—161no—
1950Q8—161no—
1951Q8—162no—
1952Q8—162no—
1953D4—48no—
1954D4—82no—
1955D4—84no—
1956D4—84no—
1957C2×C4—28no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
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—21no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
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—21no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—44no—
2046C2×C4—44no—
2047C2×C4—44no—
2048C2×C4—44no—
2049C2×C4—44no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—82no—
2053C2×C4—82no—
2054C2×C4—82no—
2055C2×C4—84no—
2056C2×C4—82no—
2057C2×C4—82no—
2058C2×C4—82no—
2059C2×C4—82no—
2060C2×C4—161no—
2061C2×C4—162no—
2062C2×C4—161no—
2063C2×C4—161no—
2064C2×C4—161no—
2065C2×C4C2×H(5,𝔽2)14yes—
2066C2×C4C2×H(5,𝔽2)12yes—
2067C2×C4C2×H(5,𝔽2)14yes—
2068C2×C4C2×2−1+414yes—
2069C2×C4C2×2−1+414yes—
2070C2×C4#58512yes—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—41no—
2081C22—41no—
2082C22—41no—
2083C22—41no—
2084C22—41no—
2085C22—41no—
2086C22—41no—
2087C22—41no—
2088C22—41no—
2089C22—41no—
2090C22—41no—
2091C22—41no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—88no—
2100C22C22×H(5,𝔽2)11yescharacteristic
2101C22C22×H(5,𝔽2)11yescharacteristic
2102C22C22×2−1+411yescharacteristic
2103C22C22×2−1+411yescharacteristic
2104C22C2×#58511yescharacteristic
2105C222−1+611yescharacteristic
2106C222−1+611yescharacteristic
2107C4—22no—
2108C4—22no—
2109C4—24no—
2110C4—24no—
2111C4—24no—
2112C4—24no—
2113C4—42no—
2114C4—41no—
2115C4—41no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C2—42no—
2139C2—42no—
2140C2—42no—
2141C2—82no—
2142C2#6281811yescharacteristic
2143C2#6283311yescharacteristic
2144C2#6288711yescharacteristic
2145C2#6289311yescharacteristic
2146C2#6290411yescharacteristic
2147C2#6291511yescharacteristic
2148C2#6293211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58612C2semidirect
2. #58611C2semidirect
3. #53758C2semidirect
4. #53753C2semidirect
5. #53722C2semidirect
6. #53717C2semidirect
7. #51648C2semidirect
8. #51552C2semidirect
9. #51326C2semidirect
10. #50645C2semidirect
11. #49568C2semidirect
12. #49526C2semidirect
13. #49304C2semidirect
14. #48158C2semidirect
15. #47855C2semidirect
16. #47197C2semidirect
17. #47007C2semidirect
18. #45331C2semidirect
19. #45272C2semidirect
20. #44468C2semidirect
21. #43133C2semidirect
22. #42496C2semidirect
23. #42339C2semidirect
24. #42008C2semidirect
25. #40972C2semidirect
26. #40683C2semidirect
27. #37956C2semidirect
28. #37933C2semidirect
31. #36708C2semidirect
32. #35954C2semidirect
33. #35749C2semidirect
35. #35391C2semidirect
37. C2×#557C22semidirect
48. #2843C22semidirect
49. #2843C22semidirect
51. #2841C22semidirect
52. #2839C22semidirect
53. #2836C22semidirect
54. #2833C22semidirect
55. #2831C22semidirect
56. #2831C22semidirect
58. #2809C22semidirect
59. #2806C22semidirect
60. #2802C22semidirect
61. #2792C22semidirect
62. #2791C22semidirect
63. #2791C22semidirect
64. #2791C22semidirect
66. #2790C22semidirect
69. #2788C22semidirect
70. #2788C22semidirect
74. #2776C22semidirect
75. #2774C22semidirect
76. #2772C22semidirect
78. #2770C22semidirect
79. #2770C22semidirect
80. #2770C22semidirect
82. #2766C22semidirect
83. #2766C22semidirect
84. #2766C22semidirect
87. #2759C22semidirect
88. #2758C22semidirect
89. #2758C22semidirect
103. #2738C22semidirect
104. #2737C22semidirect
105. #2734C22semidirect
108. #2729C22semidirect
110. #2726C22semidirect
111. #2726C22semidirect
112. #2726C22semidirect
113. #2725C22semidirect
116. #2721C22semidirect
119. #2720C22semidirect
120. #2719C22semidirect
124. #2716C22semidirect
125. #2713C22semidirect
126. #2713C22semidirect
127. #2713C22semidirect
128. #2713C22semidirect
129. #2713C22semidirect
134. #2707C22semidirect
136. #2704C22semidirect
151. #2689C22semidirect
152. #2689C22semidirect
160. #2677C22semidirect
161. #2677C22semidirect
162. #2677C22semidirect
164. #2674C22semidirect
165. #2674C22semidirect
166. #2666C22semidirect
167. #2666C22semidirect
168. #2666C22semidirect
170. #2665C22semidirect
171. #2665C22semidirect
177. #2655C22semidirect
178. #2655C22semidirect
179. #2654C22semidirect
180. #2647C22semidirect
183. #2637C22semidirect
184. #2637C22semidirect
185. #2634C22semidirect
186. #2634C22semidirect
192. #2627C22semidirect
197. #2605C22semidirect
202. #2594C22semidirect
204. #2586C22semidirect
205. #2585C22semidirect
206. #2585C22semidirect
209. #2581C22semidirect
212. #2574C22semidirect
217. #2573C22semidirect
220. #2570C22semidirect
221. #2567C22semidirect
229. #2556C22semidirect
230. #2556C22semidirect
231. #2556C22semidirect
232. #2552C22semidirect
233. #2551C22semidirect
234. #2551C22semidirect
235. #2551C22semidirect
236. #2550C22semidirect
241. #2546C22semidirect
242. #2546C22semidirect
249. #2532C22semidirect
252. #2526C22semidirect
254. #2522C22semidirect
255. #2521C22semidirect
256. #2521C22semidirect
257. #2520C22semidirect
258. #2519C22semidirect
259. #2519C22semidirect
264. #2509C22semidirect
265. #2508C22semidirect
266. #2507C22semidirect
267. #2506C22semidirect
269. #2497C22semidirect
270. #2494C22semidirect
292. #2469C22semidirect
295. #2462C22semidirect
296. #2462C22semidirect
297. #2462C22semidirect
298. #2462C22semidirect
299. #2462C22semidirect
304. #2458C22semidirect
305. #2453C22semidirect
308. #2451C22semidirect
311. #2446C22semidirect
312. #2446C22semidirect
318. #2440C22semidirect
319. #2440C22semidirect
326. #2429C22semidirect
337. #2399C22semidirect
338. #2399C22semidirect
342. #2382C22semidirect
343. #2378C22semidirect
346. #2370C22semidirect
347. #2365C22semidirect
348. #2365C22semidirect
355. #2356C22semidirect
358. #2345C22semidirect

Maximal subgroups

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

subgroupindex
#586122
#586112
#537582
#537532
#537222
#537172
#516482
#515522
#513262
#506452
#495682
#495262
#493042
#481582
#478552
#471972
#470072
#453312
#452722
#444682
#431332
#424962
#423392
#420082
#409722
#406832
#379562
#379332
#377602
#377532
#367082
#359542
#357492
#356612
#353912