Finite Group Databasebeta

← #9716334

Subgroups — #9716334

Order 512.

4603 conjugacy classes of subgroups.

The subgroup lattice has 2265 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60003C211yesmaximal, characteristic, complemented
2#59973C211yesmaximal, characteristic, complemented
3#59070C211yesmaximal, characteristic, complemented
4#58951C212yesmaximal, complemented
5#58505C212yesmaximal, complemented
6#56764C212yesmaximal, complemented
7#55526C212yesmaximal, complemented
8#55384C212yesmaximal, complemented
9#55277C212yesmaximal, complemented
10#55202C212yesmaximal, complemented
11#54329C212yesmaximal, complemented
12#53816C212yesmaximal, complemented
13#51708C211yesmaximal, characteristic, complemented
14#51602C212yesmaximal, complemented
15#51542C211yesmaximal, characteristic, complemented
16#51326C211yesmaximal, characteristic, complemented
17#51317C211yesmaximal, characteristic, complemented
18#51201C211yesmaximal, characteristic, complemented
19#51076C212yesmaximal, complemented
20#50605C212yesmaximal, complemented
21#50200C211yesmaximal, characteristic, complemented
22#50055C212yesmaximal, complemented
23#49955C212yesmaximal, complemented
24#49944C212yesmaximal, complemented
25#49856C212yesmaximal, complemented
26#49549C212yesmaximal, complemented
27#48623C212yesmaximal, complemented
28#46172C212yesmaximal, complemented
29#46166C212yesmaximal, complemented
30#45794C212yesmaximal, complemented
31#39337C211yesmaximal, characteristic, complemented
32#38787C212yesmaximal, complemented
33#38029C211yesmaximal, characteristic, complemented
34#37687C212yesmaximal, complemented
35#37686C212yesmaximal, complemented
36#37680C211yesmaximal, characteristic
37#37386C211yesmaximal, characteristic, complemented
38#37376C211yesmaximal, characteristic, complemented
39#37057C211yesmaximal, characteristic, complemented
40C2×#563C2211yescharacteristic
41C2×#559C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#547C2211yescharacteristic
44C2×#544C2212yes—
45C2×#536C2211yescharacteristic
46C2×#536C2211yescharacteristic
47C2×#536C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C22×C4⋊Q8C2211yescharacteristic
50C22×#125C2211yescharacteristic
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2855C2212yes—
54#2854C2211yescharacteristic
55#2853C2211yescharacteristic
56#2851C2212yes—
57#2841C2212yes—
58#2841C2212yes—
59#2838C2212yes—
60#2838C2212yes—
61#2837C2212yes—
62#2837C2212yes—
63#2837C2212yes—
64#2837C2212yes—
65#2830C2212yes—
66#2821C2212yes—
67#2814C2212yes—
68#2809C2212yes—
69#2808C2212yes—
70#2807C2212yes—
71#2807C2212yes—
72#2806C2212yes—
73#2805C2212yes—
74#2796C2212yes—
75#2795C2212yes—
76#2793C2212yes—
77#2792C2212yes—
78#2792C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2791C2212yes—
82#2791C2212yes—
83#2790C2212yes—
84#2788C2212yes—
85#2787C2212yes—
86#2786C2212yes—
87#2785C2212yes—
88#2781C2212yes—
89#2781C2212yes—
90#2777C2212yes—
91#2774C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2773C2212yes—
95#2772C2212yes—
96#2771C2212yes—
97#2770C2212yes—
98#2770C2212yes—
99#2770C2212yes—
100#2768C2212yes—
101#2765C2212yes—
102#2763C2212yes—
103#2761C2212yes—
104#2759C2212yes—
105#2755C2212yes—
106#2753C2212yes—
107#2748C2211yescharacteristic
108#2747C2212yes—
109#2747C2212yes—
110#2744C2212yes—
111#2744C2212yes—
112#2742C2212yes—
113#2741C2212yes—
114#2741C2212yes—
115#2739C2212yes—
116#2734C2212yes—
117#2734C2212yes—
118#2734C2212yes—
119#2734C2212yes—
120#2734C2212yes—
121#2734C2212yes—
122#2731C2212yes—
123#2731C2212yes—
124#2731C2212yes—
125#2729C2212yes—
126#2729C2212yes—
127#2729C2212yes—
128#2726C2212yes—
129#2726C2212yes—
130#2725C2212yes—
131#2724C2212yes—
132#2724C2212yes—
133#2724C2211yescharacteristic
134#2723C2212yes—
135#2721C2212yes—
136#2720C2212yes—
137#2720C2212yes—
138#2720C2212yes—
139#2720C2212yes—
140#2720C2212yes—
141#2718C2212yes—
142#2718C2212yes—
143#2717C2211yescharacteristic
144#2717C2211yescharacteristic
145#2717C2211yescharacteristic
146#2717C2212yes—
147#2717C2212yes—
148#2717C2211yescharacteristic
149#2717C2211yescharacteristic
150#2717C2212yes—
151#2717C2211yescharacteristic
152#2715C2212yes—
153#2715C2212yes—
154#2713C2212yes—
155#2713C2212yes—
156#2713C2212yes—
157#2713C2212yes—
158#2713C2212yes—
159#2713C2212yes—
160#2712C2212yes—
161#2711C2212yes—
162#2711C2212yes—
163#2711C2212yes—
164#2710C2212yes—
165#2709C2211yescharacteristic
166#2709C2211yescharacteristic
167#2707C2212yes—
168#2707C2212yes—
169#2707C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2701C2212yes—
175#2701C2212yes—
176#2700C2212yes—
177#2700C2212yes—
178#2698C2212yes—
179#2698C2212yes—
180#2698C2212yes—
181#2689C2212yes—
182#2686C2212yes—
183#2686C2212yes—
184#2681C2212yes—
185#2681C2212yes—
186#2680C2212yes—
187#2680C2212yes—
188#2677C2212yes—
189#2677C2212yes—
190#2677C2212yes—
191#2677C2212yes—
192#2677C2212yes—
193#2674C2212yes—
194#2674C2212yes—
195#2674C2212yes—
196#2674C2212yes—
197#2674C2212yes—
198#2674C2212yes—
199#2672C2212yes—
200#2672C2212yes—
201#2671C2212yes—
202#2671C2212yes—
203#2666C2212yes—
204#2663C2212yes—
205#2660C2212yes—
206#2660C2212yes—
207#2660C2212yes—
208#2658C2211yescharacteristic
209#2654C2212yes—
210#2654C2212yes—
211#2652C2212yes—
212#2650C2212yes—
213#2650C2212yes—
214#2649C2212yes—
215#2638C2212yes—
216#2638C2212yes—
217#2630C2212yes—
218#2629C2212yes—
219#2628C2212yes—
220#2623C2211yescharacteristic
221#2621C2212yes—
222#2620C2211yescharacteristic
223#2618C2211yescharacteristic
224#2616C2212yes—
225#2614C2211yescharacteristic
226#2614C2211yescharacteristic
227#2612C2212yes—
228#2612C2212yes—
229#2611C2212yes—
230#2611C2212yes—
231#2605C2212yes—
232#2597C2212yes—
233#2597C2212yes—
234#2596C2212yes—
235#2591C2211yescharacteristic
236#2590C2212yes—
237#2590C2212yes—
238#2590C2212yes—
239#2589C2212yes—
240#2586C2212yes—
241#2586C2212yes—
242#2579C2211yescharacteristic
243#2579C2212yes—
244#2577C2212yes—
245#2574C2212yes—
246#2574C2212yes—
247#2573C2212yes—
248#2567C2212yes—
249#2558C2212yes—
250#2556C2212yes—
251#2556C2212yes—
252#2554C2212yes—
253#2553C2212yes—
254#2553C2212yes—
255#2552C2212yes—
256#2551C2212yes—
257#2551C2212yes—
258#2551C2212yes—
259#2550C2212yes—
260#2550C2212yes—
261#2550C2212yes—
262#2546C2211yescharacteristic
263#2544C2211yescharacteristic
264#2533C2212yes—
265#2531C2212yes—
266#2531C2212yes—
267#2531C2212yes—
268#2531C2212yes—
269#2530C2212yes—
270#2529C2212yes—
271#2528C2212yes—
272#2527C2212yes—
273#2526C2212yes—
274#2526C2212yes—
275#2522C2212yes—
276#2522C2212yes—
277#2522C2212yes—
278#2521C2212yes—
279#2521C2212yes—
280#2521C2212yes—
281#2520C2212yes—
282#2520C2212yes—
283#2520C2212yes—
284#2518C2212yes—
285#2517C2212yes—
286#2516C2212yes—
287#2515C2212yes—
288#2501C2211yescharacteristic
289#2499C2212yes—
290#2499C2212yes—
291#2491C2212yes—
292#2486C2211yescharacteristic
293#2485C2212yes—
294#2479C2212yes—
295#2478C2212yes—
296#2476C2212yes—
297#2476C2212yes—
298#2474C2212yes—
299#2474C2212yes—
300#2474C2212yes—
301#2473C2212yes—
302#2473C2212yes—
303#2473C2212yes—
304#2473C2212yes—
305#2468C2212yes—
306#2467C2212yes—
307#2467C2212yes—
308#2465C2212yes—
309#2462C2212yes—
310#2462C2212yes—
311#2462C2212yes—
312#2461C2212yes—
313#2460C2212yes—
314#2460C2212yes—
315#2460C2212yes—
316#2460C2212yes—
317#2455C2212yes—
318#2455C2212yes—
319#2452C2212yes—
320#2452C2212yes—
321#2451C2212yes—
322#2451C2212yes—
323#2449C2212yes—
324#2449C2212yes—
325#2449C2212yes—
326#2449C2212yes—
327#2447C2212yes—
328#2447C2212yes—
329#2442C2212yes—
330#2442C2212yes—
331#2442C2212yes—
332#2441C2212yes—
333#2440C2212yes—
334#2440C2212yes—
335#2440C2212yes—
336#2440C2212yes—
337#2440C2212yes—
338#2439C2212yes—
339#2434C2212yes—
340#2434C2212yes—
341#2434C2211yescharacteristic
342#2434C2212yes—
343#2434C2212yes—
344#2432C2211yescharacteristic
345#2432C2211yescharacteristic
346#2431C2211yescharacteristic
347#2427C2212yes—
348#2427C2212yes—
349#2422C2212yes—
350#2422C2212yes—
351#2417C2212yes—
352#2417C2212yes—
353#2415C2212yes—
354#2413C2211yescharacteristic
355#2413C2211yescharacteristic
356#2413C2211yescharacteristic
357#2413C2211yescharacteristic
358#2409C2212yes—
359#2409C2212yes—
360#2406C2211yescharacteristic
361#2406C2211yescharacteristic
362#2406C2211yescharacteristic
363#2406C2212yes—
364#2406C2211yescharacteristic
365#2383C2212yes—
366#2382C2212yes—
367#2378C2212yes—
368#2378C2212yes—
369#2378C2212yes—
370#2376C2211yescharacteristic
371#2374C2211yescharacteristic
372#2373C2212yes—
373#2372C2211yescharacteristic
374#2371C2212yes—
375#2366C2211yescharacteristic
376#2352C2212yes—
377#2352C2212yes—
378D4×C4⋊C4C2212yes—
379D4×C4⋊C4C2212yes—
380#2344C2211yescharacteristic
381#2344C2211yescharacteristic
382#2334C2212yes—
383#2331C2212yes—
384#2330C2212yes—
385#2330C2212yes—
386#2326C2211yescharacteristic
387#2322C2211yescharacteristic
388#2311C2211yescharacteristic
389C4×C22⋊Q8C2212yes—
390C4×#123C2211yescharacteristic
391#2297C2211yescharacteristic
392#2290C2211yescharacteristic
393#2290C2212yes—
394#2290C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399C23×Q8C2311yescharacteristic
400C23×Q8C2311yescharacteristic
401#563—44no—
402#559—44no—
403#548—44no—
404#547—44no—
405#544—48no—
406#536—44no—
407#536—44no—
408#536—44no—
409#532—44no—
410C2×C4⋊Q8—44no—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2312yes—
415C2×C4⋊Q8C2312yes—
416C2×C4⋊Q8C2311yescharacteristic
417C2×C4⋊Q8C2311yescharacteristic
418C2×C4⋊Q8C2312yes—
419C2×C4⋊Q8C2312yes—
420C2×C4⋊Q8C2312yes—
421C2×C4⋊Q8C2312yes—
422C2×C4⋊Q8C2312yes—
423C2×C4⋊Q8C2312yes—
424C2×C4⋊Q8C2312yes—
425C2×C4⋊Q8C2312yes—
426C2×C4⋊Q8C2312yes—
427C2×C4⋊Q8C2311yescharacteristic
428C2×#127C2311yescharacteristic
429C2×#126C2312yes—
430C2×#126C2312yes—
431C2×#126C2312yes—
432C2×#126C2312yes—
433C2×#125—44no—
434C2×#125C2312yes—
435C2×#125C2312yes—
436C2×#125C2312yes—
437C2×#125C2312yes—
438C2×#125C2312yes—
439C2×#125C2312yes—
440C2×#125C2312yes—
441C2×#125C2312yes—
442C2×#125C2312yes—
443C2×#125C2312yes—
444C2×#124C2311yescharacteristic
445C2×#124C2311yescharacteristic
446C2×#124C2311yescharacteristic
447C2×#124C2311yescharacteristic
448C2×#124C2312yes—
449C2×#124C2312yes—
450C2×#124C2312yes—
451C2×#124C2312yes—
452C2×#124C2312yes—
453C2×#124C2311yescharacteristic
454C2×#123C2311yescharacteristic
455C2×#123C2311yescharacteristic
456C2×#123C2311yescharacteristic
457C2×#123C2311yescharacteristic
458C2×#123C2311yescharacteristic
459C2×#123C2311yescharacteristic
460C2×#123C2311yescharacteristic
461C2×#123C2311yescharacteristic
462C2×#123C2311yescharacteristic
463C2×#123C2311yescharacteristic
464C2×#123C2311yescharacteristic
465C2×#123C2312yes—
466C2×#123C2311yescharacteristic
467C2×#123C2312yes—
468C2×#123C2312yes—
469C2×#123C2311yescharacteristic
470C2×#123C2311yescharacteristic
471C2×#123C2311yescharacteristic
472C2×#123C2311yescharacteristic
473C2×#123C2312yes—
474C2×C22⋊Q8C2312yes—
475C2×C22⋊Q8C2312yes—
476C2×C22⋊Q8C2312yes—
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2312yes—
479C2×C22⋊Q8C2311yescharacteristic
480C2×C22⋊Q8C2311yescharacteristic
481C2×C22⋊Q8C2312yes—
482C2×C22⋊Q8C2311yescharacteristic
483C2×C22⋊Q8C2312yes—
484C2×C22⋊Q8C2312yes—
485C2×C22⋊Q8C2312yes—
486C2×C22⋊Q8C2312yes—
487C2×C22⋊Q8C2312yes—
488C2×C22⋊Q8C2312yes—
489C2×C22⋊Q8C2312yes—
490C2×C22⋊Q8C2312yes—
491C2×C22⋊Q8C2312yes—
492C2×C22⋊Q8C2312yes—
493C2×#121C2311yescharacteristic
494C2×#121C2311yescharacteristic
495C2×#121C2311yescharacteristic
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×C4×Q8C2312yes—
500C2×C4×Q8C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2311yescharacteristic
528C22×C42C2311yescharacteristic
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531#401C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
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#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
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#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#396C2312yes—
673#396C2312yes—
674#396C2312yes—
675#396C2312yes—
676#396C2312yes—
677#396C2312yes—
678#396C2312yes—
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#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#395C2312yes—
698#395C2312yes—
699#395C2312yes—
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#395C2312yes—
713#395C2312yes—
714#395C2312yes—
715#395C2312yes—
716#394C2312yes—
717#394C2312yes—
718#394C2312yes—
719#394C2312yes—
720#394C2312yes—
721#394C2312yes—
722#394C2312yes—
723#394C2312yes—
724#394C2312yes—
725#394C2312yes—
726#394C2312yes—
727#394C2312yes—
728#394C2312yes—
729#394C2312yes—
730#394C2312yes—
731#394C2312yes—
732#394C2312yes—
733#394C2312yes—
734#394C2312yes—
735#394C2312yes—
736#394C2312yes—
737#394C2312yes—
738#394C2312yes—
739#394C2312yes—
740#394C2312yes—
741#394C2312yes—
742#394C2312yes—
743#394C2312yes—
744#394C2312yes—
745#394C2312yes—
746#393C2312yes—
747#393C2312yes—
748#393C2312yes—
749#393C2312yes—
750#393C2312yes—
751#393C2312yes—
752#393C2312yes—
753#393C2312yes—
754#393C2312yes—
755#393C2312yes—
756#393C2312yes—
757#392C2312yes—
758#392C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2311yescharacteristic
765#391C2312yes—
766#391C2312yes—
767#391C2312yes—
768#391C2312yes—
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2312yes—
775#391C2312yes—
776#391C2311yescharacteristic
777#391C2312yes—
778#391C2311yescharacteristic
779#391C2312yes—
780#391C2311yescharacteristic
781#391C2312yes—
782#391C2312yes—
783#391C2312yes—
784#391C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2311yescharacteristic
788#390C2312yes—
789#390C2312yes—
790#390C2312yes—
791#390C2311yescharacteristic
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
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#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2312yes—
836#389C2312yes—
837#389C2312yes—
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
841#389C2312yes—
842#389C2312yes—
843#389C2312yes—
844#389C2312yes—
845#389C2312yes—
846#389C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
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#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#387C2312yes—
980#387C2312yes—
981#387C2312yes—
982#387C2312yes—
983#387C2312yes—
984#387C2312yes—
985#387C2312yes—
986#387C2312yes—
987#387C2312yes—
988#387C2312yes—
989#386C2311yescharacteristic
990#386C2311yescharacteristic
991#386C2311yescharacteristic
992#386C2311yescharacteristic
993#386C2311yescharacteristic
994#386C2312yes—
995#386C2312yes—
996#386C2311yescharacteristic
997#386C2311yescharacteristic
998#386C2311yescharacteristic
999#386C2312yes—
1000#386C2312yes—
1001#386C2311yescharacteristic
1002#386C2311yescharacteristic
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2311yescharacteristic
1007#386C2311yescharacteristic
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2311yescharacteristic
1018#385C2312yes—
1019#385C2311yescharacteristic
1020#385C2312yes—
1021#385C2311yescharacteristic
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#385C2311yescharacteristic
1054#385C2312yes—
1055#385C2312yes—
1056#385C2312yes—
1057#385C2312yes—
1058#385C2312yes—
1059#385C2312yes—
1060#385C2312yes—
1061#385C2312yes—
1062#385C2312yes—
1063#384C2312yes—
1064#384C2312yes—
1065#384C2311yescharacteristic
1066#384C2312yes—
1067#384C2312yes—
1068#384C2312yes—
1069#384C2312yes—
1070#384C2312yes—
1071#383C2312yes—
1072#383C2312yes—
1073#382C2312yes—
1074#382C2312yes—
1075#382C2312yes—
1076#382C2312yes—
1077#382C2312yes—
1078#382C2312yes—
1079#382C2312yes—
1080#382C2312yes—
1081#382C2312yes—
1082#381C2311yescharacteristic
1083#381C2311yescharacteristic
1084#381C2312yes—
1085#381C2312yes—
1086#381C2311yescharacteristic
1087#381C2311yescharacteristic
1088#381C2311yescharacteristic
1089#381C2311yescharacteristic
1090#381C2311yescharacteristic
1091#381C2311yescharacteristic
1092#381C2312yes—
1093#380C2312yes—
1094#380C2312yes—
1095#380C2312yes—
1096#380C2312yes—
1097#380C2311yescharacteristic
1098#380C2312yes—
1099#380C2312yes—
1100#380C2312yes—
1101#380C2312yes—
1102#380C2312yes—
1103#380C2311yescharacteristic
1104#380C2312yes—
1105#380C2312yes—
1106#380C2312yes—
1107#380C2312yes—
1108#380C2312yes—
1109#380C2312yes—
1110#380C2312yes—
1111#380C2312yes—
1112#380C2312yes—
1113#380C2312yes—
1114#380C2312yes—
1115#380C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2312yes—
1118C4×C4⋊C4C2312yes—
1119C4×C4⋊C4C2312yes—
1120C4×C4⋊C4C2312yes—
1121C4×C4⋊C4C2312yes—
1122C4×C4⋊C4C2312yes—
1123C4×C4⋊C4C2312yes—
1124C4×C4⋊C4C2312yes—
1125C4×C4⋊C4C2312yes—
1126C4×C4⋊C4C2312yes—
1127C4×C4⋊C4C2312yes—
1128C4×C4⋊C4C2312yes—
1129C4×C4⋊C4C2311yescharacteristic
1130C4×C4⋊C4C2312yes—
1131C4×C4⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2311yescharacteristic
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2311yescharacteristic
1139C4×C22⋊C4C2312yes—
1140C4×C22⋊C4C2312yes—
1141C4×C22⋊C4C2312yes—
1142C4×C22⋊C4C2312yes—
1143C4×C22⋊C4C2311yescharacteristic
1144C4×C22⋊C4C2312yes—
1145C4×C22⋊C4C2311yescharacteristic
1146C4×C22⋊C4C2312yes—
1147C4×C22⋊C4C2312yes—
1148#376C2311yescharacteristic
1149#376C2312yes—
1150#376C2312yes—
1151#376C2312yes—
1152#376C2312yes—
1153C2×#41—24no—
1154C2×#41—24no—
1155C2×#41—42no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—42no—
1159C2×#41—81no—
1160C2×#41—81no—
1161C2×#41—81no—
1162C22×Q8—42no—
1163C22×Q8—42no—
1164C22×Q8—42no—
1165C22×Q8—42no—
1166C22×Q8—42no—
1167C22×Q8—42no—
1168C22×Q8—81no—
1169C22×Q8—81no—
1170C22×Q8—81no—
1171C22×Q8C2412yes—
1172C22×Q8C2411yescharacteristic
1173C22×Q8C2412yes—
1174C22×Q8C2412yes—
1175C22×Q8C2412yes—
1176C22×Q8C2411yescharacteristic
1177C22×Q8C2411yescharacteristic
1178C22×Q8C2411yescharacteristic
1179C22×Q8C2412yes—
1180C22×Q8C2412yes—
1181C22×Q8C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2411yescharacteristic
1185C22×D4C2411yescharacteristic
1186C22×D4C2411yescharacteristic
1187C22×D4C2411yescharacteristic
1188C22×D4C2411yescharacteristic
1189C22×D4C2411yescharacteristic
1190C22×D4C2412yes—
1191C22×D4C2412yes—
1192C22×D4C2411yescharacteristic
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C23×C4C2411yescharacteristic
1196C23×C4C2411yescharacteristic
1197C23×C4C2411yescharacteristic
1198C23×C4C2411yescharacteristic
1199C23×C4C2412yes—
1200C23×C4C2411yescharacteristic
1201C23×C4C2411yescharacteristic
1202C23×C4C2411yescharacteristic
1203C23×C4C2411yescharacteristic
1204C23×C4C2411yescharacteristic
1205C23×C4C2411yescharacteristic
1206C23×C4C2411yescharacteristic
1207C23×C4C2412yes—
1208C23×C4C2412yes—
1209C23×C4C2411yescharacteristic
1210C23×C4C2411yescharacteristic
1211C23×C4C2411yescharacteristic
1212C23×C4C2412yes—
1213C23×C4C2412yes—
1214C4⋊Q8—28no—
1215C4⋊Q8—44no—
1216C4⋊Q8—42no—
1217C4⋊Q8—42no—
1218C4⋊Q8—42no—
1219C4⋊Q8—42no—
1220C4⋊Q8—44no—
1221C4⋊Q8—44no—
1222C4⋊Q8—44no—
1223C4⋊Q8—44no—
1224C4⋊Q8—44no—
1225C4⋊Q8—44no—
1226C4⋊Q8—44no—
1227C4⋊Q8—44no—
1228C4⋊Q8—82no—
1229C4⋊Q8—81no—
1230C4⋊Q8—82no—
1231#127—24no—
1232#126—28no—
1233#126—44no—
1234#126—44no—
1235#126—82no—
1236#125—28no—
1237#125—28no—
1238#125—44no—
1239#125—44no—
1240#125—44no—
1241#125—44no—
1242#125—44no—
1243#125—44no—
1244#125—44no—
1245#125—82no—
1246#124—24no—
1247#124—24no—
1248#124—42no—
1249#124—42no—
1250#124—44no—
1251#124—44no—
1252#124—44no—
1253#124—44no—
1254#124—44no—
1255#124—81no—
1256#123—24no—
1257#123—24no—
1258#123—24no—
1259#123—24no—
1260#123—44no—
1261#123—44no—
1262#123—42no—
1263#123—42no—
1264#123—42no—
1265#123—42no—
1266#123—42no—
1267#123—42no—
1268#123—42no—
1269#123—42no—
1270#123—44no—
1271#123—81no—
1272#123—81no—
1273#123—81no—
1274#123—81no—
1275#123—82no—
1276C22⋊Q8—28no—
1277C22⋊Q8—28no—
1278C22⋊Q8—44no—
1279C22⋊Q8—44no—
1280C22⋊Q8—44no—
1281C22⋊Q8—44no—
1282C22⋊Q8—44no—
1283C22⋊Q8—44no—
1284C22⋊Q8—44no—
1285C22⋊Q8—44no—
1286C22⋊Q8—44no—
1287C22⋊Q8—44no—
1288C22⋊Q8—42no—
1289C22⋊Q8—42no—
1290C22⋊Q8—42no—
1291C22⋊Q8—44no—
1292C22⋊Q8—82no—
1293C22⋊Q8—82no—
1294C22⋊Q8—82no—
1295#121—42no—
1296#121—44no—
1297#121—44no—
1298#121—44no—
1299#121—42no—
1300#121—42no—
1301C4×Q8—42no—
1302C4×Q8—44no—
1303C4×D4—24no—
1304C4×D4—28no—
1305C4×D4—28no—
1306C4×D4—42no—
1307C4×D4—44no—
1308C4×D4—44no—
1309C4×D4—44no—
1310C4×D4—44no—
1311C4×D4—44no—
1312#117—42no—
1313#117—44no—
1314#117—44no—
1315#117—42no—
1316#117—42no—
1317#117—81no—
1318#117—81no—
1319C2×C4⋊C4—24no—
1320C2×C4⋊C4—24no—
1321C2×C4⋊C4—42no—
1322C2×C4⋊C4—42no—
1323C2×C4⋊C4—42no—
1324C2×C4⋊C4—42no—
1325C2×C4⋊C4—42no—
1326C2×C4⋊C4—42no—
1327C2×C4⋊C4—42no—
1328C2×C4⋊C4—42no—
1329C2×C4⋊C4—44no—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2411yescharacteristic
1407C2×C4⋊C4C2411yescharacteristic
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2412yes—
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2412yes—
1412C2×C4⋊C4C2412yes—
1413C2×C4⋊C4C2412yes—
1414C2×C4⋊C4C2412yes—
1415C2×C4⋊C4C2412yes—
1416C2×C4⋊C4C2412yes—
1417C2×C4⋊C4C2412yes—
1418C2×C4⋊C4C2412yes—
1419C2×C4⋊C4C2412yes—
1420C2×C4⋊C4C2412yes—
1421C2×C4⋊C4C2412yes—
1422C2×C4⋊C4C2412yes—
1423C2×C4⋊C4C2412yes—
1424C2×C4⋊C4C2412yes—
1425C2×C4⋊C4C2412yes—
1426C2×C4⋊C4C2412yes—
1427C2×C4⋊C4C2412yes—
1428C2×C4⋊C4C2412yes—
1429C2×C4⋊C4C2412yes—
1430C2×C4⋊C4C2412yes—
1431C2×C4⋊C4C2412yes—
1432C2×C4⋊C4C2412yes—
1433C2×C4⋊C4C2411yescharacteristic
1434C2×C4⋊C4C2412yes—
1435C2×C22⋊C4C2411yescharacteristic
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2411yescharacteristic
1439C2×C22⋊C4C2411yescharacteristic
1440C2×C22⋊C4C2411yescharacteristic
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2411yescharacteristic
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2411yescharacteristic
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2411yescharacteristic
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2411yescharacteristic
1465C2×C22⋊C4C2411yescharacteristic
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2411yescharacteristic
1469C2×C22⋊C4C2411yescharacteristic
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2411yescharacteristic
1474C2×C22⋊C4C2411yescharacteristic
1475C2×C22⋊C4C2411yescharacteristic
1476C2×C22⋊C4C2411yescharacteristic
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2411yescharacteristic
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2412yes—
1500C2×C22⋊C4C2412yes—
1501C2×C22⋊C4C2412yes—
1502C2×C22⋊C4C2412yes—
1503C2×C22⋊C4C2412yes—
1504C2×C22⋊C4C2412yes—
1505C2×C22⋊C4C2412yes—
1506C2×C22⋊C4C2412yes—
1507C2×C22⋊C4C2412yes—
1508C2×C42—42no—
1509C2×C42—42no—
1510C2×C42—42no—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2411yescharacteristic
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2411yescharacteristic
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2412yes—
1527C2×C42C2412yes—
1528C2×C42C2412yes—
1529C2×C42C2412yes—
1530C2×C42C2412yes—
1531C2×C42C2411yescharacteristic
1532C2×C42C2412yes—
1533C2×C42C2412yes—
1534C2×C42C2412yes—
1535C2×C42C2412yes—
1536C2×C42C2412yes—
1537C2×C42C2412yes—
1538C2×C42C2412yes—
1539C2×C42C2412yes—
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—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634#95C2412yes—
1635#95C2412yes—
1636#95C2412yes—
1637#95C2412yes—
1638#95C2412yes—
1639#95C2412yes—
1640#95C2412yes—
1641#95C2412yes—
1642#95C2412yes—
1643#95C2412yes—
1644#95C2412yes—
1645C24C2512yes—
1646C24C2511yescharacteristic
1647C24C2511yescharacteristic
1648C24C2511yescharacteristic
1649C24C2511yescharacteristic
1650#41—88no—
1651#41—88no—
1652#41—88no—
1653C2×Q8—22no—
1654C2×Q8—24no—
1655C2×Q8—24no—
1656C2×Q8—24no—
1657C2×Q8—22no—
1658C2×Q8—22no—
1659C2×Q8—22no—
1660C2×Q8—24no—
1661C2×Q8—41no—
1662C2×Q8—41no—
1663C2×Q8—42no—
1664C2×Q8—42no—
1665C2×Q8—42no—
1666C2×Q8—42no—
1667C2×Q8—41no—
1668C2×Q8—41no—
1669C2×Q8—41no—
1670C2×Q8—42no—
1671C2×Q8—42no—
1672C2×Q8—42no—
1673C2×Q8—42no—
1674C2×Q8—41no—
1675C2×Q8—42no—
1676C2×Q8—42no—
1677C2×Q8—42no—
1678C2×Q8—42no—
1679C2×Q8—41no—
1680C2×Q8—42no—
1681C2×Q8—41no—
1682C2×Q8—42no—
1683C2×Q8—42no—
1684C2×Q8—42no—
1685C2×Q8—42no—
1686C2×Q8—88no—
1687C2×Q8—88no—
1688C2×Q8—88no—
1689C2×D4—24no—
1690C2×D4—24no—
1691C2×D4—22no—
1692C2×D4—22no—
1693C2×D4—22no—
1694C2×D4—22no—
1695C2×D4—22no—
1696C2×D4—22no—
1697C2×D4—24no—
1698C2×D4—24no—
1699C2×D4—41no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—41no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—41no—
1706C2×D4—41no—
1707C2×D4—41no—
1708C2×D4—41no—
1709C2×D4—41no—
1710C2×D4—42no—
1711C2×D4—41no—
1712C2×D4—41no—
1713C2×D4—41no—
1714C2×D4—42no—
1715C2×D4—41no—
1716C2×D4—41no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4H(5,𝔽2)14yes—
1721C22×C4—22no—
1722C22×C4—22no—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—22no—
1726C22×C4—22no—
1727C22×C4—22no—
1728C22×C4—22no—
1729C22×C4—22no—
1730C22×C4—22no—
1731C22×C4—22no—
1732C22×C4—22no—
1733C22×C4—22no—
1734C22×C4—22no—
1735C22×C4—22no—
1736C22×C4—22no—
1737C22×C4—22no—
1738C22×C4—24no—
1739C22×C4—24no—
1740C22×C4—24no—
1741C22×C4—24no—
1742C22×C4—22no—
1743C22×C4—24no—
1744C22×C4—24no—
1745C22×C4—41no—
1746C22×C4—41no—
1747C22×C4—41no—
1748C22×C4—42no—
1749C22×C4—41no—
1750C22×C4—41no—
1751C22×C4—42no—
1752C22×C4—41no—
1753C22×C4—41no—
1754C22×C4—41no—
1755C22×C4—41no—
1756C22×C4—41no—
1757C22×C4—41no—
1758C22×C4—42no—
1759C22×C4—41no—
1760C22×C4—41no—
1761C22×C4—41no—
1762C22×C4—41no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—41no—
1769C22×C4—41no—
1770C22×C4—41no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2512yes—
1792C22×C4C2511yescharacteristic
1793C22×C4C2512yes—
1794C22×C4C2511yescharacteristic
1795C22×C4C2512yes—
1796C22×C4C2511yescharacteristic
1797C22×C4C2511yescharacteristic
1798C22×C4C2512yes—
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2512yes—
1802C22×C4C2511yescharacteristic
1803C22×C4C2511yescharacteristic
1804C22×C4C2512yes—
1805C22×C4C2511yescharacteristic
1806C22×C4C2511yescharacteristic
1807C22×C4C2511yescharacteristic
1808C22×C4C2511yescharacteristic
1809C22×C4C2512yes—
1810C22×C4C2512yes—
1811C22×C4C2512yes—
1812C4⋊C4—22no—
1813C4⋊C4—22no—
1814C4⋊C4—22no—
1815C4⋊C4—22no—
1816C4⋊C4—22no—
1817C4⋊C4—22no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—24no—
1839C4⋊C4—24no—
1840C4⋊C4—24no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—41no—
1877C4⋊C4—41no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4—42no—
1898C4⋊C4—42no—
1899C4⋊C4—42no—
1900C4⋊C4—42no—
1901C4⋊C4—42no—
1902C4⋊C4—42no—
1903C4⋊C4—41no—
1904C4⋊C4—41no—
1905C4⋊C4—42no—
1906C4⋊C4—42no—
1907C4⋊C4—42no—
1908C4⋊C4—42no—
1909C4⋊C4—42no—
1910C4⋊C4—42no—
1911C4⋊C4—42no—
1912C4⋊C4—42no—
1913C4⋊C4—42no—
1914C4⋊C4—42no—
1915C4⋊C4H(5,𝔽2)14yes—
1916C4⋊C42−1+418yes—
1917C22⋊C4—22no—
1918C22⋊C4—22no—
1919C22⋊C4—22no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—22no—
1929C22⋊C4—24no—
1930C22⋊C4—24no—
1931C22⋊C4—22no—
1932C22⋊C4—22no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—24no—
1936C22⋊C4—24no—
1937C22⋊C4—24no—
1938C22⋊C4—24no—
1939C22⋊C4—24no—
1940C22⋊C4—24no—
1941C22⋊C4—24no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—41no—
1961C22⋊C4—41no—
1962C22⋊C4—41no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—41no—
1966C22⋊C4—41no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—41no—
1971C22⋊C4—41no—
1972C22⋊C4—41no—
1973C22⋊C4—41no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—41no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C42—22no—
1991C42—24no—
1992C42—24no—
1993C42—22no—
1994C42—22no—
1995C42—22no—
1996C42—24no—
1997C42—24no—
1998C42—24no—
1999C42—24no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—42no—
2013C42—42no—
2014C42—42no—
2015C42—42no—
2016C42—41no—
2017C42—42no—
2018C42—42no—
2019C23—21no—
2020C23—21no—
2021C23—22no—
2022C23—22no—
2023C23—21no—
2024C23—21no—
2025C23—22no—
2026C23—22no—
2027C23—22no—
2028C23—21no—
2029C23—21no—
2030C23—21no—
2031C23—22no—
2032C23—21no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—21no—
2039C23—21no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23C2×H(5,𝔽2)12yes—
2045C23C2×H(5,𝔽2)12yes—
2046C23C2611yescharacteristic
2047Q8—44no—
2048Q8—84no—
2049Q8—84no—
2050Q8—84no—
2051Q8—84no—
2052Q8—82no—
2053Q8—82no—
2054Q8—82no—
2055Q8—84no—
2056Q8—84no—
2057Q8—162no—
2058D4—44no—
2059D4—48no—
2060D4—48no—
2061D4—82no—
2062D4—82no—
2063D4—82no—
2064D4—82no—
2065D4—82no—
2066D4—82no—
2067D4—84no—
2068D4—84no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—21no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—21no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—21no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—21no—
2135C2×C4—21no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—44no—
2161C2×C4—44no—
2162C2×C4—48no—
2163C2×C4—44no—
2164C2×C4—44no—
2165C2×C4—44no—
2166C2×C4—44no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—44no—
2171C2×C4—82no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—82no—
2175C2×C4—82no—
2176C2×C4—82no—
2177C2×C4—82no—
2178C2×C4—82no—
2179C2×C4—84no—
2180C2×C4—162no—
2181C2×C4C2×H(5,𝔽2)12yes—
2182C2×C4C2×H(5,𝔽2)12yes—
2183C2×C4C2×H(5,𝔽2)12yes—
2184C2×C4C2×H(5,𝔽2)12yes—
2185C2×C4C2×2−1+414yes—
2186C2×C4C2×2−1+414yes—
2187C2×C4C2×2−1+414yes—
2188C22—22no—
2189C22—22no—
2190C22—24no—
2191C22—24no—
2192C22—41no—
2193C22—41no—
2194C22—42no—
2195C22—42no—
2196C22—41no—
2197C22—41no—
2198C22—42no—
2199C22—41no—
2200C22—41no—
2201C22—42no—
2202C22—42no—
2203C22—42no—
2204C22—42no—
2205C22—41no—
2206C22—41no—
2207C22—42no—
2208C22—41no—
2209C22—41no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22C22×H(5,𝔽2)11yescharacteristic
2216C22C22×H(5,𝔽2)11yescharacteristic
2217C22C22×2−1+412yes—
2218C22H(7,𝔽2)11yescharacteristic
2219C222−1+612yes—
2220C4—24no—
2221C4—24no—
2222C4—22no—
2223C4—22no—
2224C4—22no—
2225C4—22no—
2226C4—24no—
2227C4—41no—
2228C4—42no—
2229C4—42no—
2230C4—42no—
2231C4—42no—
2232C4—42no—
2233C4—41no—
2234C4—42no—
2235C4—42no—
2236C4—41no—
2237C4—42no—
2238C4—41no—
2239C4—41no—
2240C4—41no—
2241C4—41no—
2242C4—42no—
2243C4—42no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C4—42no—
2250C4—42no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C2—42no—
2255C2—42no—
2256C2—82no—
2257C2—81no—
2258C2—81no—
2259C2#6288611yescharacteristic
2260C2#6289211yescharacteristic
2261C2#6291512yes—
2262C2#6301611yescharacteristic
2263C2#6306112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37680C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60003C2semidirect
2. #59973C2semidirect
3. #59070C2semidirect
4. #58951C2semidirect
5. #58505C2semidirect
6. #56764C2semidirect
7. #55526C2semidirect
8. #55384C2semidirect
9. #55277C2semidirect
10. #55202C2semidirect
11. #54329C2semidirect
12. #53816C2semidirect
13. #51708C2semidirect
14. #51602C2semidirect
15. #51542C2semidirect
16. #51326C2semidirect
17. #51317C2semidirect
18. #51201C2semidirect
19. #51076C2semidirect
20. #50605C2semidirect
21. #50200C2semidirect
22. #50055C2semidirect
23. #49955C2semidirect
24. #49944C2semidirect
25. #49856C2semidirect
26. #49549C2semidirect
27. #48623C2semidirect
28. #46172C2semidirect
29. #46166C2semidirect
30. #45794C2semidirect
31. #39337C2semidirect
32. #38787C2semidirect
33. #38029C2semidirect
34. #37687C2semidirect
35. #37686C2semidirect
37. #37386C2semidirect
38. #37376C2semidirect
39. #37057C2semidirect

Maximal subgroups

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

subgroupindex
#600032
#599732
#590702
#589512
#585052
#567642
#555262
#553842
#552772
#552022
#543292
#538162
#517082
#516022
#515422
#513262
#513172
#512012
#510762
#506052
#502002
#500552
#499552
#499442
#498562
#495492
#486232
#461722
#461662
#457942
#393372
#387872
#380292
#376872
#376862
#376802
#373862
#373762
#370572