Finite Group Databasebeta

← #8213832

Subgroups — #8213832

Order 512.

4691 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59958C212yesmaximal, complemented
2#58951C212yesmaximal, complemented
3#58247C212yesmaximal, complemented
4#57966C212yesmaximal, complemented
5#56776C212yesmaximal, complemented
6#56465C212yesmaximal, complemented
7#56463C212yesmaximal, complemented
8#55121C212yesmaximal, complemented
9#54564C212yesmaximal, complemented
10#53219C211yesmaximal, characteristic, complemented
11#53192C211yesmaximal, characteristic, complemented
12#52399C212yesmaximal, complemented
13C2×#2734C211yesmaximal, characteristic, complemented
14#51076C212yesmaximal, complemented
15#49952C212yesmaximal, complemented
16#47795C212yesmaximal, complemented
17#47544C212yesmaximal, complemented
18#46119C212yesmaximal, complemented
19#46097C211yesmaximal, characteristic, complemented
20#45794C211yesmaximal, characteristic, complemented
21#43978C212yesmaximal, complemented
22#43891C212yesmaximal, complemented
23#43100C212yesmaximal, complemented
24#40784C212yesmaximal, complemented
25#40693C212yesmaximal, complemented
26#39368C211yesmaximal, characteristic, complemented
27#38782C211yesmaximal, characteristic, complemented
28#38485C211yesmaximal, characteristic, complemented
29#38446C211yesmaximal, characteristic, complemented
30#38259C212yesmaximal, complemented
31#38245C212yesmaximal, complemented
32#37686C212yesmaximal, complemented
33#37675C212yesmaximal, complemented
34#37386C211yesmaximal, characteristic, complemented
35#37212C211yesmaximal, characteristic, complemented
36#37139C211yesmaximal, characteristic, complemented
37#36374C211yesmaximal, characteristic
38#36275C211yesmaximal, characteristic, complemented
39#35257C211yesmaximal, characteristic, complemented
40C2×#554C2211yescharacteristic
41C2×D4×Q8C2212yes—
42C2×#548C2211yescharacteristic
43C2×#544C2212yes—
44C2×#544C2211yescharacteristic
45C2×#536C2212yes—
46C22×C4⋊Q8C2212yes—
47C2×C4×#41C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2211yescharacteristic
52#2855C2211yescharacteristic
53#2855C2211yescharacteristic
54#2854C2211yescharacteristic
55#2851C2211yescharacteristic
56#2851C2212yes—
57#2851C2211yescharacteristic
58#2850C2211yescharacteristic
59#2850C2212yes—
60#2841C2212yes—
61#2838C2212yes—
62#2838C2212yes—
63#2838C2212yes—
64#2838C2212yes—
65#2836C2212yes—
66#2836C2212yes—
67#2835C2212yes—
68#2833C2212yes—
69#2833C2212yes—
70#2831C2212yes—
71#2827C2212yes—
72#2821C2212yes—
73#2820C2212yes—
74#2810C2211yescharacteristic
75#2809C2211yescharacteristic
76#2808C2211yescharacteristic
77#2807C2212yes—
78#2807C2212yes—
79#2806C2211yescharacteristic
80#2806C2211yescharacteristic
81#2805C2211yescharacteristic
82#2805C2212yes—
83#2798C2212yes—
84#2798C2212yes—
85#2796C2212yes—
86#2794C2212yes—
87#2793C2212yes—
88#2793C2212yes—
89#2791C2212yes—
90#2790C2212yes—
91#2789C2212yes—
92#2789C2212yes—
93#2787C2212yes—
94#2787C2212yes—
95#2787C2212yes—
96#2783C2212yes—
97#2783C2212yes—
98#2777C2212yes—
99#2777C2212yes—
100#2776C2212yes—
101#2776C2212yes—
102#2774C2212yes—
103#2773C2212yes—
104#2773C2212yes—
105#2772C2212yes—
106#2769C2212yes—
107#2766C2212yes—
108#2766C2212yes—
109#2766C2212yes—
110#2766C2212yes—
111#2763C2212yes—
112#2762C2212yes—
113#2762C2212yes—
114#2762C2212yes—
115#2759C2212yes—
116#2759C2212yes—
117#2755C2212yes—
118#2747C2212yes—
119#2746C2212yes—
120#2746C2212yes—
121#2745C2212yes—
122#2745C2212yes—
123#2745C2212yes—
124#2744C2212yes—
125#2742C2212yes—
126#2741C2212yes—
127#2740C2212yes—
128#2738C2212yes—
129#2737C2212yes—
130#2737C2212yes—
131#2734C2211yescharacteristic
132#2734C2212yes—
133#2734C2211yescharacteristic
134#2734C2211yescharacteristic
135#2734C2212yes—
136#2734C2212yes—
137#2734C2212yes—
138#2734C2212yes—
139#2734C2212yes—
140#2734C2212yes—
141#2734C2212yes—
142#2734C2212yes—
143#2734C2211yescharacteristic
144#2734C2212yes—
145#2734C2212yes—
146#2734C2211yescharacteristic
147#2731C2212yes—
148#2730C2212yes—
149#2729C2212yes—
150#2729C2212yes—
151#2729C2212yes—
152#2729C2212yes—
153#2727C2211yescharacteristic
154#2726C2211yescharacteristic
155#2726C2211yescharacteristic
156#2724C2211yescharacteristic
157#2724C2211yescharacteristic
158#2724C2212yes—
159#2723C2212yes—
160#2723C2212yes—
161#2721C2212yes—
162#2720C2212yes—
163#2720C2212yes—
164#2720C2212yes—
165#2720C2212yes—
166#2717C2212yes—
167#2717C2212yes—
168#2717C2212yes—
169#2717C2212yes—
170#2715C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2713C2212yes—
174#2713C2212yes—
175#2713C2212yes—
176#2713C2212yes—
177#2713C2212yes—
178#2713C2212yes—
179#2713C2212yes—
180#2707C2212yes—
181#2704C2212yes—
182#2704C2212yes—
183#2694C2212yes—
184#2692C2212yes—
185#2690C2212yes—
186#2683C2212yes—
187#2681C2212yes—
188#2677C2212yes—
189#2677C2212yes—
190#2677C2212yes—
191#2677C2212yes—
192#2677C2212yes—
193#2677C2212yes—
194#2677C2212yes—
195#2677C2212yes—
196#2677C2212yes—
197#2674C2212yes—
198#2674C2212yes—
199#2674C2212yes—
200#2674C2212yes—
201#2674C2212yes—
202#2666C2212yes—
203#2666C2212yes—
204#2660C2212yes—
205#2658C2212yes—
206#2655C2212yes—
207#2654C2212yes—
208#2654C2212yes—
209#2654C2212yes—
210#2651C2212yes—
211#2643C2212yes—
212#2643C2212yes—
213#2633C2212yes—
214#2629C2211yescharacteristic
215#2629C2211yescharacteristic
216#2628C2212yes—
217#2628C2211yescharacteristic
218#2628C2211yescharacteristic
219#2627C2212yes—
220#2623C2212yes—
221#2621C2212yes—
222#2621C2212yes—
223#2611C2212yes—
224#2610C2212yes—
225#2609C2212yes—
226#2605C2212yes—
227#2605C2212yes—
228#2605C2212yes—
229#2596C2212yes—
230#2592C2211yescharacteristic
231#2590C2212yes—
232#2590C2212yes—
233#2589C2212yes—
234#2586C2212yes—
235#2582C2211yescharacteristic
236#2581C2211yescharacteristic
237#2579C2212yes—
238#2574C2212yes—
239#2567C2211yescharacteristic
240#2564C2212yes—
241#2564C2212yes—
242#2558C2212yes—
243#2556C2212yes—
244#2556C2212yes—
245#2556C2212yes—
246#2551C2212yes—
247#2551C2212yes—
248#2551C2212yes—
249#2550C2212yes—
250#2550C2212yes—
251#2549C2212yes—
252#2546C2212yes—
253#2545C2212yes—
254#2533C2212yes—
255#2533C2212yes—
256#2531C2212yes—
257#2530C2212yes—
258#2528C2212yes—
259#2528C2212yes—
260#2528C2212yes—
261#2522C2212yes—
262#2521C2212yes—
263#2520C2212yes—
264#2517C2212yes—
265#2516C2212yes—
266#2515C2212yes—
267#2510C2212yes—
268#2510C2212yes—
269#2510C2212yes—
270#2510C2212yes—
271#2510C2212yes—
272#2506C2212yes—
273#2506C2212yes—
274#2505C2212yes—
275#2505C2212yes—
276#2499C2212yes—
277#2499C2212yes—
278#2498C2212yes—
279#2487C2211yescharacteristic
280#2487C2211yescharacteristic
281#2481C2212yes—
282#2481C2212yes—
283#2481C2212yes—
284#2478C2212yes—
285#2477C2212yes—
286#2477C2212yes—
287#2474C2212yes—
288#2473C2212yes—
289#2473C2212yes—
290#2473C2212yes—
291#2471C2212yes—
292#2465C2212yes—
293#2465C2212yes—
294#2465C2212yes—
295#2462C2212yes—
296#2462C2212yes—
297#2462C2212yes—
298#2461C2212yes—
299#2459C2212yes—
300#2454C2212yes—
301#2453C2212yes—
302#2453C2212yes—
303#2452C2212yes—
304#2451C2212yes—
305#2451C2212yes—
306#2450C2212yes—
307#2450C2212yes—
308#2450C2212yes—
309#2449C2212yes—
310#2449C2212yes—
311#2449C2212yes—
312#2449C2212yes—
313#2449C2212yes—
314#2449C2212yes—
315#2449C2212yes—
316#2449C2212yes—
317#2449C2212yes—
318#2444C2212yes—
319#2444C2212yes—
320#2444C2212yes—
321#2443C2212yes—
322#2443C2212yes—
323#2443C2212yes—
324#2443C2212yes—
325#2443C2212yes—
326#2442C2212yes—
327#2441C2212yes—
328#2440C2212yes—
329#2440C2212yes—
330#2440C2212yes—
331#2440C2212yes—
332#2439C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2438C2212yes—
337#2438C2212yes—
338#2436C2212yes—
339#2434C2212yes—
340#2434C2212yes—
341#2434C2212yes—
342#2434C2212yes—
343#2434C2212yes—
344#2434C2212yes—
345#2432C2212yes—
346#2430C2212yes—
347#2417C2211yescharacteristic
348#2417C2211yescharacteristic
349#2416C2211yescharacteristic
350#2415C2211yescharacteristic
351#2409C2211yescharacteristic
352#2409C2212yes—
353#2409C2212yes—
354#2407C2211yescharacteristic
355C2×#398C2212yes—
356C2×#395C2212yes—
357C2×#395C2212yes—
358#2383C2212yes—
359#2378C2212yes—
360#2373C2212yes—
361#2368C2212yes—
362#2364C2212yes—
363#2361C2212yes—
364#2359C2212yes—
365#2359C2212yes—
366#2352C2211yescharacteristic
367#2352C2212yes—
368D4×C4⋊C4C2212yes—
369D4×C4⋊C4C2211yescharacteristic
370#2344C2212yes—
371#2343C2212yes—
372#2339C2212yes—
373#2334C2212yes—
374#2331C2212yes—
375#2331C2212yes—
376#2329C2212yes—
377#2327C2212yes—
378#2325C2212yes—
379#2322C2212yes—
380#2317C2211yescharacteristic
381#2311C2211yescharacteristic
382#2311C2211yescharacteristic
383C4×C22⋊Q8C2211yescharacteristic
384C4×C22⋊Q8C2211yescharacteristic
385#2297C2211yescharacteristic
386#2296C2211yescharacteristic
387C2×#391C2211yescharacteristic
388C2×#389C2211yescharacteristic
389C2×#389C2211yescharacteristic
390C2×#389C2211yescharacteristic
391#2290C2212yes—
392#2290C2212yes—
393C2×#387C2212yes—
394C2×#387C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398C23×Q8C2312yes—
399C23×Q8C2312yes—
400#554—44no—
401D4×Q8—48no—
402#548—44no—
403#544—44no—
404#544—48no—
405#536—48no—
406C2×C4⋊Q8—48no—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2311yescharacteristic
411C2×C4⋊Q8C2311yescharacteristic
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2312yes—
414C2×C4⋊Q8C2312yes—
415C2×C4⋊Q8C2312yes—
416C2×C4⋊Q8C2312yes—
417C2×C4⋊Q8C2312yes—
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⋊Q8C2312yes—
428C2×#126C2312yes—
429C2×#126C2312yes—
430C2×#125C2312yes—
431C2×#125C2311yescharacteristic
432C2×#125C2311yescharacteristic
433C2×#125C2312yes—
434C2×#125C2312yes—
435C2×#125C2312yes—
436C2×#125C2312yes—
437C2×#125C2312yes—
438C2×#125C2312yes—
439C2×#124C2312yes—
440C2×#124C2311yescharacteristic
441C2×#124C2312yes—
442C2×#124C2312yes—
443C2×#124C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2311yescharacteristic
452C2×C22⋊Q8C2311yescharacteristic
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2311yescharacteristic
456C2×C22⋊Q8C2311yescharacteristic
457C2×C22⋊Q8C2311yescharacteristic
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2311yescharacteristic
472C2×C22⋊Q8C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2311yescharacteristic
476C2×#121C2311yescharacteristic
477C4×#41—44no—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521#401C2312yes—
522#401C2312yes—
523#401C2312yes—
524#401C2312yes—
525#401C2312yes—
526#401C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
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#400C2312yes—
558#400C2312yes—
559#400C2312yes—
560#400C2312yes—
561#400C2312yes—
562#400C2312yes—
563#400C2312yes—
564#400C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2312yes—
573#399C2312yes—
574#399C2312yes—
575#399C2312yes—
576#399C2312yes—
577#399C2312yes—
578#399C2312yes—
579#399C2312yes—
580#399C2312yes—
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#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
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#397C2312yes—
657#397C2312yes—
658#397C2312yes—
659#397C2312yes—
660#397C2312yes—
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#395C2312yes—
717#395C2312yes—
718#395C2312yes—
719#395C2312yes—
720#395C2312yes—
721#395C2312yes—
722#395C2312yes—
723#394C2312yes—
724#394C2312yes—
725#394C2312yes—
726#394C2312yes—
727#394C2312yes—
728#394C2312yes—
729#394C2312yes—
730#394C2312yes—
731#394C2312yes—
732#393C2312yes—
733#393C2312yes—
734#393C2312yes—
735#393C2312yes—
736#393C2312yes—
737#393C2312yes—
738#393C2312yes—
739#393C2312yes—
740#393C2312yes—
741#393C2312yes—
742#393C2312yes—
743#393C2312yes—
744#392C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2311yescharacteristic
753#391C2311yescharacteristic
754#391C2312yes—
755#391C2311yescharacteristic
756#391C2311yescharacteristic
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2311yescharacteristic
765#391C2311yescharacteristic
766#391C2311yescharacteristic
767#391C2312yes—
768#391C2311yescharacteristic
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2312yes—
775#391C2312yes—
776#391C2312yes—
777#391C2312yes—
778#391C2312yes—
779#391C2311yescharacteristic
780#390C2312yes—
781#390C2312yes—
782#390C2311yescharacteristic
783#390C2311yescharacteristic
784#390C2311yescharacteristic
785#390C2312yes—
786#390C2312yes—
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2311yescharacteristic
800#389C2312yes—
801#389C2311yescharacteristic
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#389C2311yescharacteristic
815#389C2311yescharacteristic
816#389C2311yescharacteristic
817#389C2312yes—
818#389C2311yescharacteristic
819#389C2311yescharacteristic
820#389C2311yescharacteristic
821#389C2312yes—
822#389C2312yes—
823#389C2311yescharacteristic
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2311yescharacteristic
829#389C2311yescharacteristic
830#389C2311yescharacteristic
831#389C2312yes—
832#389C2312yes—
833#389C2311yescharacteristic
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#389C2311yescharacteristic
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#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#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#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#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#385C2312yes—
1054#385C2312yes—
1055#385C2312yes—
1056#385C2312yes—
1057#385C2312yes—
1058#385C2312yes—
1059#385C2312yes—
1060#385C2312yes—
1061#384C2312yes—
1062#384C2311yescharacteristic
1063#384C2311yescharacteristic
1064#384C2311yescharacteristic
1065#384C2312yes—
1066#384C2312yes—
1067#383C2312yes—
1068#383C2312yes—
1069#383C2312yes—
1070#383C2312yes—
1071#383C2312yes—
1072#382C2312yes—
1073#382C2311yescharacteristic
1074#382C2311yescharacteristic
1075#382C2312yes—
1076#382C2311yescharacteristic
1077#382C2312yes—
1078#382C2312yes—
1079#382C2312yes—
1080#382C2312yes—
1081#382C2312yes—
1082#381C2312yes—
1083#381C2312yes—
1084#381C2312yes—
1085#381C2312yes—
1086#381C2312yes—
1087#380C2311yescharacteristic
1088#380C2312yes—
1089#380C2312yes—
1090#380C2312yes—
1091#380C2311yescharacteristic
1092#380C2311yescharacteristic
1093#380C2311yescharacteristic
1094#380C2311yescharacteristic
1095#380C2311yescharacteristic
1096#380C2311yescharacteristic
1097#380C2311yescharacteristic
1098#380C2312yes—
1099#380C2311yescharacteristic
1100#380C2312yes—
1101#380C2312yes—
1102#380C2312yes—
1103#380C2311yescharacteristic
1104#380C2311yescharacteristic
1105#380C2311yescharacteristic
1106#380C2311yescharacteristic
1107#380C2312yes—
1108#380C2311yescharacteristic
1109#380C2311yescharacteristic
1110#380C2312yes—
1111#380C2311yescharacteristic
1112#380C2312yes—
1113C4×C4⋊C4C2311yescharacteristic
1114C4×C4⋊C4C2312yes—
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2312yes—
1118C4×C4⋊C4C2312yes—
1119C4×C4⋊C4C2312yes—
1120C4×C4⋊C4C2312yes—
1121C4×C4⋊C4C2312yes—
1122C4×C4⋊C4C2311yescharacteristic
1123C4×C4⋊C4C2312yes—
1124C4×C4⋊C4C2312yes—
1125C4×C4⋊C4C2312yes—
1126C4×C4⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141#376C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C2×#95C2312yes—
1148C2×#95C2312yes—
1149C2×#95C2312yes—
1150C2×#41—24no—
1151C2×#41—24no—
1152C2×#41—24no—
1153C2×#41—42no—
1154C2×#41—42no—
1155C2×#41—81no—
1156C22×Q8—24no—
1157C22×Q8—42no—
1158C22×Q8—44no—
1159C22×Q8—44no—
1160C22×Q8—44no—
1161C22×Q8—44no—
1162C22×Q8—81no—
1163C22×Q8—82no—
1164C22×Q8—82no—
1165C22×Q8C2411yescharacteristic
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2412yes—
1168C22×Q8C2412yes—
1169C22×Q8C2412yes—
1170C22×Q8C2411yescharacteristic
1171C22×Q8C2412yes—
1172C22×Q8C2412yes—
1173C22×Q8C2412yes—
1174C22×Q8C2412yes—
1175C22×Q8C2412yes—
1176C22×Q8C2412yes—
1177C22×Q8C2411yescharacteristic
1178C22×D4C2412yes—
1179C22×D4C2411yescharacteristic
1180C22×D4C2411yescharacteristic
1181C22×D4C2411yescharacteristic
1182C22×D4C2412yes—
1183C22×D4C2411yescharacteristic
1184C22×D4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2411yescharacteristic
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C23×C4C2411yescharacteristic
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2411yescharacteristic
1200C23×C4C2412yes—
1201C23×C4C2411yescharacteristic
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C4⋊Q8—28no—
1206C4⋊Q8—28no—
1207C4⋊Q8—28no—
1208C4⋊Q8—42no—
1209C4⋊Q8—44no—
1210C4⋊Q8—44no—
1211C4⋊Q8—44no—
1212C4⋊Q8—42no—
1213C4⋊Q8—42no—
1214C4⋊Q8—44no—
1215C4⋊Q8—44no—
1216C4⋊Q8—44no—
1217C4⋊Q8—44no—
1218C4⋊Q8—44no—
1219C4⋊Q8—44no—
1220C4⋊Q8—44no—
1221C4⋊Q8—44no—
1222C4⋊Q8—44no—
1223C4⋊Q8—82no—
1224C4⋊Q8—82no—
1225C4⋊Q8—82no—
1226#126—28no—
1227#126—82no—
1228#125—42no—
1229#125—42no—
1230#125—44no—
1231#125—44no—
1232#125—44no—
1233#125—44no—
1234#125—44no—
1235#125—44no—
1236#125—82no—
1237#124—42no—
1238#124—44no—
1239#124—44no—
1240#124—44no—
1241#124—82no—
1242#123—28no—
1243#123—44no—
1244#123—44no—
1245#123—44no—
1246#123—44no—
1247C22⋊Q8—24no—
1248C22⋊Q8—24no—
1249C22⋊Q8—28no—
1250C22⋊Q8—28no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—42no—
1254C22⋊Q8—44no—
1255C22⋊Q8—44no—
1256C22⋊Q8—44no—
1257C22⋊Q8—44no—
1258C22⋊Q8—44no—
1259C22⋊Q8—44no—
1260C22⋊Q8—44no—
1261C22⋊Q8—44no—
1262C22⋊Q8—44no—
1263C22⋊Q8—44no—
1264C22⋊Q8—44no—
1265C22⋊Q8—42no—
1266C22⋊Q8—44no—
1267C22⋊Q8—42no—
1268C22⋊Q8—82no—
1269C22⋊Q8—82no—
1270C22⋊Q8—81no—
1271#121—28no—
1272#121—42no—
1273#121—44no—
1274#121—81no—
1275C4×Q8—42no—
1276C4×Q8—42no—
1277C4×Q8—42no—
1278C4×Q8—44no—
1279C4×Q8—42no—
1280C4×D4—28no—
1281C4×D4—24no—
1282C4×D4—24no—
1283C4×D4—28no—
1284C4×D4—42no—
1285C4×D4—42no—
1286C4×D4—42no—
1287C4×D4—42no—
1288C4×D4—44no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—82no—
1292#117—24no—
1293#117—24no—
1294#117—44no—
1295#117—42no—
1296#117—42no—
1297#117—44no—
1298#117—44no—
1299#117—42no—
1300#117—81no—
1301C2×C4⋊C4—24no—
1302C2×C4⋊C4—24no—
1303C2×C4⋊C4—24no—
1304C2×C4⋊C4—44no—
1305C2×C4⋊C4—44no—
1306C2×C4⋊C4—44no—
1307C2×C4⋊C4—44no—
1308C2×C4⋊C4—44no—
1309C2×C4⋊C4—42no—
1310C2×C4⋊C4—42no—
1311C2×C4⋊C4—42no—
1312C2×C4⋊C4—81no—
1313C2×C4⋊C4—82no—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2411yescharacteristic
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2411yescharacteristic
1364C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1384C2×C4⋊C4C2411yescharacteristic
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2411yescharacteristic
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1407C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2411yescharacteristic
1429C2×C22⋊C4C2411yescharacteristic
1430C2×C22⋊C4C2411yescharacteristic
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2411yescharacteristic
1447C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2411yescharacteristic
1482C2×C42—42no—
1483C2×C42—42no—
1484C2×C42—44no—
1485C2×C42—42no—
1486C2×C42C2412yes—
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2411yescharacteristic
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2411yescharacteristic
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—
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—
1633C24C2512yes—
1634C24C2511yescharacteristic
1635C24C2511yescharacteristic
1636C24C2511yescharacteristic
1637#41—416no—
1638#41—88no—
1639C2×Q8—24no—
1640C2×Q8—24no—
1641C2×Q8—24no—
1642C2×Q8—24no—
1643C2×Q8—24no—
1644C2×Q8—22no—
1645C2×Q8—24no—
1646C2×Q8—22no—
1647C2×Q8—22no—
1648C2×Q8—22no—
1649C2×Q8—41no—
1650C2×Q8—42no—
1651C2×Q8—41no—
1652C2×Q8—42no—
1653C2×Q8—41no—
1654C2×Q8—41no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—41no—
1658C2×Q8—42no—
1659C2×Q8—42no—
1660C2×Q8—42no—
1661C2×Q8—42no—
1662C2×Q8—42no—
1663C2×Q8—41no—
1664C2×Q8—42no—
1665C2×Q8—42no—
1666C2×Q8—42no—
1667C2×Q8—42no—
1668C2×Q8—42no—
1669C2×Q8—42no—
1670C2×Q8—42no—
1671C2×Q8—42no—
1672C2×Q8—42no—
1673C2×Q8—41no—
1674C2×Q8—42no—
1675C2×Q8—42no—
1676C2×Q8—42no—
1677C2×Q8—88no—
1678C2×Q8—816no—
1679C2×Q8—816no—
1680C2×Q8H(5,𝔽2)14yes—
1681C2×D4—22no—
1682C2×D4—22no—
1683C2×D4—24no—
1684C2×D4—22no—
1685C2×D4—24no—
1686C2×D4—24no—
1687C2×D4—22no—
1688C2×D4—22no—
1689C2×D4—22no—
1690C2×D4—24no—
1691C2×D4—22no—
1692C2×D4—24no—
1693C2×D4—22no—
1694C2×D4—41no—
1695C2×D4—42no—
1696C2×D4—41no—
1697C2×D4—42no—
1698C2×D4—41no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D42−1+414yes—
1702C22×C4—22no—
1703C22×C4—22no—
1704C22×C4—22no—
1705C22×C4—22no—
1706C22×C4—24no—
1707C22×C4—24no—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—22no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—22no—
1716C22×C4—22no—
1717C22×C4—22no—
1718C22×C4—24no—
1719C22×C4—24no—
1720C22×C4—22no—
1721C22×C4—22no—
1722C22×C4—24no—
1723C22×C4—24no—
1724C22×C4—22no—
1725C22×C4—22no—
1726C22×C4—22no—
1727C22×C4—22no—
1728C22×C4—22no—
1729C22×C4—22no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—41no—
1733C22×C4—41no—
1734C22×C4—42no—
1735C22×C4—41no—
1736C22×C4—41no—
1737C22×C4—41no—
1738C22×C4—41no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—41no—
1743C22×C4—41no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—41no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—41no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C42−1+414yes—
1762C22×C4C2511yescharacteristic
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2511yescharacteristic
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2511yescharacteristic
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2511yescharacteristic
1787C22×C4C2511yescharacteristic
1788C22×C4C2512yes—
1789C22×C4C2511yescharacteristic
1790C22×C4C2511yescharacteristic
1791C22×C4C2511yescharacteristic
1792C22×C4C2511yescharacteristic
1793C22×C4C2511yescharacteristic
1794C22×C4C2511yescharacteristic
1795C22×C4C2511yescharacteristic
1796C22×C4C2512yes—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—22no—
1808C4⋊C4—22no—
1809C4⋊C4—22no—
1810C4⋊C4—22no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—22no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—22no—
1826C4⋊C4—22no—
1827C4⋊C4—22no—
1828C4⋊C4—22no—
1829C4⋊C4—22no—
1830C4⋊C4—22no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—41no—
1839C4⋊C4—42no—
1840C4⋊C4—41no—
1841C4⋊C4—41no—
1842C4⋊C4—41no—
1843C4⋊C4—41no—
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—41no—
1856C4⋊C4—42no—
1857C4⋊C4—41no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—41no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—41no—
1872C4⋊C4—41no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—41no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—41no—
1879C4⋊C4—41no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—41no—
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—42no—
1904C4⋊C4—42no—
1905C4⋊C4—42no—
1906C4⋊C4—42no—
1907C4⋊C4—42no—
1908C4⋊C4—42no—
1909C4⋊C42−1+414yes—
1910C22⋊C4—22no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—22no—
1920C22⋊C4—22no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—41no—
1937C22⋊C4—41no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
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—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4H(5,𝔽2)14yes—
1965C42—22no—
1966C42—22no—
1967C42—24no—
1968C42—24no—
1969C42—22no—
1970C42—22no—
1971C42—24no—
1972C42—24no—
1973C42—24no—
1974C42—24no—
1975C42—24no—
1976C42—41no—
1977C42—41no—
1978C42—41no—
1979C42—41no—
1980C42—41no—
1981C42—41no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—21no—
2002C23—21no—
2003C23—21no—
2004C23—21no—
2005C23—21no—
2006C23—22no—
2007C23—21no—
2008C23—21no—
2009C23—22no—
2010C23—22no—
2011C23—21no—
2012C23—22no—
2013C23—22no—
2014C23—21no—
2015C23—21no—
2016C23—21no—
2017C23—22no—
2018C23—21no—
2019C23—22no—
2020C23C2×H(5,𝔽2)12yes—
2021C23C2×2−1+412yes—
2022C23C2×2−1+412yes—
2023C23C2×2−1+412yes—
2024C23C2611yescharacteristic
2025Q8—44no—
2026Q8—44no—
2027Q8—48no—
2028Q8—82no—
2029Q8—84no—
2030Q8—84no—
2031Q8—82no—
2032Q8—84no—
2033Q8—84no—
2034Q8—84no—
2035Q8—84no—
2036Q8—84no—
2037Q8—162no—
2038D4—28no—
2039D4—44no—
2040D4—48no—
2041D4—44no—
2042D4—82no—
2043D4—84no—
2044D4—84no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—28no—
2064C2×C4—22no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—21no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
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—21no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—22no—
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—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—21no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—21no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—21no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—21no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—21no—
2139C2×C4—21no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—44no—
2143C2×C4—48no—
2144C2×C4—44no—
2145C2×C4—44no—
2146C2×C4—48no—
2147C2×C4—48no—
2148C2×C4—44no—
2149C2×C4—44no—
2150C2×C4—48no—
2151C2×C4—44no—
2152C2×C4—48no—
2153C2×C4—82no—
2154C2×C4—82no—
2155C2×C4—84no—
2156C2×C4—84no—
2157C2×C4—84no—
2158C2×C4—84no—
2159C2×C4—84no—
2160C2×C4—162no—
2161C2×C4C2×H(5,𝔽2)12yes—
2162C2×C4C2×H(5,𝔽2)14yes—
2163C2×C4C2×H(5,𝔽2)12yes—
2164C2×C4C2×H(5,𝔽2)12yes—
2165C2×C4C2×2−1+412yes—
2166C2×C4C2×2−1+412yes—
2167C2×C4C2×2−1+414yes—
2168C2×C4C2×2−1+412yes—
2169C2×C4C2×2−1+412yes—
2170C22—22no—
2171C22—22no—
2172C22—22no—
2173C22—22no—
2174C22—22no—
2175C22—22no—
2176C22—22no—
2177C22—22no—
2178C22—22no—
2179C22—41no—
2180C22—41no—
2181C22—41no—
2182C22—41no—
2183C22—41no—
2184C22—42no—
2185C22—41no—
2186C22—42no—
2187C22—42no—
2188C22—41no—
2189C22—42no—
2190C22—41no—
2191C22—41no—
2192C22—42no—
2193C22—41no—
2194C22—42no—
2195C22—42no—
2196C22—41no—
2197C22#353814yes—
2198C22C22×H(5,𝔽2)11yescharacteristic
2199C22C22×H(5,𝔽2)11yescharacteristic
2200C22C22×2−1+411yescharacteristic
2201C22C22×2−1+411yescharacteristic
2202C22C22×2−1+411yescharacteristic
2203C22H(7,𝔽2)11yescharacteristic
2204C222−1+611yescharacteristic
2205C4—22no—
2206C4—22no—
2207C4—22no—
2208C4—24no—
2209C4—22no—
2210C4—22no—
2211C4—24no—
2212C4—22no—
2213C4—22no—
2214C4—41no—
2215C4—42no—
2216C4—42no—
2217C4—42no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—41no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—42no—
2229C4—41no—
2230C4—42no—
2231C4—42no—
2232C4—42no—
2233C4—42no—
2234C4—42no—
2235C4—41no—
2236C4—41no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C2—24no—
2241C2—42no—
2242C2—81no—
2243C2—82no—
2244C2C2×#353811yescharacteristic
2245C2#6289211yescharacteristic
2246C2#6291311yescharacteristic
2247C2#6291511yescharacteristic
2248C2#6294311yescharacteristic
2249C2#6301611yescharacteristic
2250C2#6305811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36374C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59958C2semidirect
2. #58951C2semidirect
3. #58247C2semidirect
4. #57966C2semidirect
5. #56776C2semidirect
6. #56465C2semidirect
7. #56463C2semidirect
8. #55121C2semidirect
9. #54564C2semidirect
10. #53219C2semidirect
11. #53192C2semidirect
12. #52399C2semidirect
13. C2×#2734C2semidirect
14. #51076C2semidirect
15. #49952C2semidirect
16. #47795C2semidirect
17. #47544C2semidirect
18. #46119C2semidirect
19. #46097C2semidirect
20. #45794C2semidirect
21. #43978C2semidirect
22. #43891C2semidirect
23. #43100C2semidirect
24. #40784C2semidirect
25. #40693C2semidirect
26. #39368C2semidirect
27. #38782C2semidirect
28. #38485C2semidirect
29. #38446C2semidirect
30. #38259C2semidirect
31. #38245C2semidirect
32. #37686C2semidirect
33. #37675C2semidirect
34. #37386C2semidirect
35. #37212C2semidirect
36. #37139C2semidirect
38. #36275C2semidirect
39. #35257C2semidirect

Maximal subgroups

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

subgroupindex
#599582
#589512
#582472
#579662
#567762
#564652
#564632
#551212
#545642
#532192
#531922
#523992
C2×#27342
#510762
#499522
#477952
#475442
#461192
#460972
#457942
#439782
#438912
#431002
#407842
#406932
#393682
#387822
#384852
#384462
#382592
#382452
#376862
#376752
#373862
#372122
#371392
#363742
#362752
#352572