Finite Group Databasebeta

← #7695097

Subgroups — #7695097

Order 512.

4725 conjugacy classes of subgroups.

The subgroup lattice has 2209 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60028C212yesmaximal, complemented
2#59927C211yesmaximal, characteristic, complemented
3#59911C212yesmaximal, complemented
4#59886C211yesmaximal, characteristic, complemented
5#59866C211yesmaximal, characteristic, complemented
6#59355C212yesmaximal, complemented
7#52304C211yesmaximal, characteristic, complemented
8#52288C211yesmaximal, characteristic, complemented
9#52169C211yesmaximal, characteristic, complemented
10#44582C212yesmaximal, complemented
11#44141C212yesmaximal, complemented
12#43824C212yesmaximal, complemented
13#43821C212yesmaximal, complemented
14#43581C212yesmaximal, complemented
15#43426C212yesmaximal, complemented
16#43167C212yesmaximal, complemented
17#43163C212yesmaximal, complemented
18#43073C212yesmaximal, complemented
19#40444C212yesmaximal, complemented
20#39956C212yesmaximal, complemented
21#39840C212yesmaximal, complemented
22#39837C211yesmaximal, characteristic, complemented
23#39581C211yesmaximal, characteristic, complemented
24#38870C212yesmaximal, complemented
25#38828C211yesmaximal, characteristic, complemented
26#38769C211yesmaximal, characteristic, complemented
27#38446C211yesmaximal, characteristic, complemented
28#38425C211yesmaximal, characteristic, complemented
29#38384C212yesmaximal, complemented
30#37992C212yesmaximal, complemented
31#36571C212yesmaximal, complemented
32#36537C211yesmaximal, characteristic, complemented
33#35935C212yesmaximal, complemented
34#35790C212yesmaximal, complemented
35#35781C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34314C211yesmaximal, characteristic, complemented
38#34298C212yesmaximal, complemented
39#34224C212yesmaximal, complemented
40C2×#552C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#547C2212yes—
43C2×#529C2212yes—
44#2861C2211yescharacteristic
45#2857C2212yes—
46#2855C2211yescharacteristic
47#2854C2211yescharacteristic
48#2851C2212yes—
49#2851C2212yes—
50#2809C2211yescharacteristic
51#2806C2211yescharacteristic
52#2806C2211yescharacteristic
53#2806C2211yescharacteristic
54#2805C2211yescharacteristic
55#2805C2211yescharacteristic
56#2805C2211yescharacteristic
57#2804C2211yescharacteristic
58#2804C2211yescharacteristic
59#2799C2212yes—
60#2794C2212yes—
61#2789C2212yes—
62#2780C2212yes—
63#2780C2212yes—
64#2776C2212yes—
65#2770C2212yes—
66#2766C2212yes—
67#2765C2212yes—
68#2765C2212yes—
69#2765C2212yes—
70#2762C2212yes—
71#2761C2212yes—
72#2755C2212yes—
73#2750C2212yes—
74#2750C2212yes—
75#2748C2212yes—
76#2747C2212yes—
77#2746C2212yes—
78#2746C2212yes—
79#2744C2212yes—
80#2744C2212yes—
81#2741C2212yes—
82#2741C2212yes—
83#2739C2212yes—
84#2734C2211yescharacteristic
85#2732C2211yescharacteristic
86#2729C2212yes—
87#2727C2211yescharacteristic
88#2726C2211yescharacteristic
89#2724C2211yescharacteristic
90#2723C2212yes—
91#2722C2212yes—
92#2721C2212yes—
93#2717C2212yes—
94#2717C2212yes—
95#2716C2212yes—
96#2715C2212yes—
97#2713C2212yes—
98#2708C2212yes—
99#2708C2212yes—
100#2707C2212yes—
101#2707C2212yes—
102#2702C2212yes—
103#2701C2212yes—
104#2698C2212yes—
105#2695C2212yes—
106#2695C2212yes—
107#2692C2212yes—
108#2692C2212yes—
109#2691C2212yes—
110#2690C2212yes—
111#2690C2212yes—
112#2690C2212yes—
113#2686C2212yes—
114#2686C2212yes—
115#2683C2211yescharacteristic
116#2682C2211yescharacteristic
117#2676C2212yes—
118#2671C2212yes—
119#2671C2212yes—
120#2666C2212yes—
121#2664C2212yes—
122#2663C2212yes—
123#2663C2212yes—
124#2663C2212yes—
125#2653C2212yes—
126#2649C2212yes—
127#2638C2212yes—
128#2633C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2611C2212yes—
132#2611C2212yes—
133#2611C2212yes—
134#2609C2212yes—
135#2607C2212yes—
136#2605C2212yes—
137#2605C2212yes—
138#2604C2212yes—
139#2603C2212yes—
140#2602C2212yes—
141#2602C2212yes—
142#2602C2212yes—
143#2601C2212yes—
144#2600C2212yes—
145#2600C2212yes—
146#2599C2212yes—
147#2599C2212yes—
148#2597C2212yes—
149#2597C2212yes—
150#2596C2212yes—
151#2595C2212yes—
152#2595C2212yes—
153#2594C2212yes—
154#2590C2212yes—
155#2590C2212yes—
156#2589C2212yes—
157#2588C2212yes—
158#2588C2212yes—
159#2588C2212yes—
160#2586C2212yes—
161#2585C2212yes—
162#2585C2212yes—
163#2585C2212yes—
164#2585C2212yes—
165#2585C2212yes—
166#2585C2212yes—
167#2585C2212yes—
168#2583C2212yes—
169#2583C2212yes—
170#2583C2212yes—
171#2579C2212yes—
172#2578C2212yes—
173#2577C2212yes—
174#2575C2212yes—
175#2575C2212yes—
176#2575C2212yes—
177#2574C2212yes—
178#2573C2212yes—
179#2573C2212yes—
180#2569C2212yes—
181#2569C2212yes—
182#2565C2212yes—
183#2564C2212yes—
184#2562C2211yescharacteristic
185#2560C2212yes—
186#2559C2212yes—
187#2557C2212yes—
188#2556C2212yes—
189#2553C2212yes—
190#2553C2212yes—
191#2550C2212yes—
192#2549C2212yes—
193#2540C2211yescharacteristic
194#2532C2212yes—
195#2530C2212yes—
196#2530C2212yes—
197#2530C2212yes—
198#2529C2212yes—
199#2528C2212yes—
200#2527C2212yes—
201#2527C2212yes—
202#2527C2212yes—
203#2526C2212yes—
204#2525C2212yes—
205#2524C2212yes—
206#2523C2212yes—
207#2523C2212yes—
208#2522C2212yes—
209#2521C2212yes—
210#2521C2212yes—
211#2520C2212yes—
212#2520C2212yes—
213#2520C2212yes—
214#2519C2212yes—
215#2517C2212yes—
216#2516C2212yes—
217#2515C2212yes—
218#2515C2212yes—
219#2515C2212yes—
220#2509C2212yes—
221#2506C2212yes—
222#2505C2212yes—
223#2505C2212yes—
224#2505C2212yes—
225#2494C2212yes—
226#2493C2212yes—
227#2490C2211yescharacteristic
228#2489C2211yescharacteristic
229#2479C2212yes—
230#2477C2212yes—
231#2473C2212yes—
232#2473C2212yes—
233#2473C2212yes—
234#2473C2212yes—
235#2473C2212yes—
236#2469C2212yes—
237#2469C2212yes—
238#2469C2212yes—
239#2468C2212yes—
240#2468C2212yes—
241#2467C2212yes—
242#2466C2212yes—
243#2466C2212yes—
244#2465C2212yes—
245#2462C2212yes—
246#2462C2212yes—
247#2460C2212yes—
248#2460C2212yes—
249#2460C2212yes—
250#2459C2212yes—
251#2458C2212yes—
252#2458C2212yes—
253#2457C2212yes—
254#2453C2212yes—
255#2453C2212yes—
256#2451C2212yes—
257#2450C2212yes—
258#2447C2212yes—
259#2446C2212yes—
260#2443C2212yes—
261#2438C2212yes—
262#2434C2212yes—
263#2432C2212yes—
264#2430C2212yes—
265#2423C2212yes—
266#2422C2212yes—
267#2421C2211yescharacteristic
268#2420C2211yescharacteristic
269#2419C2212yes—
270#2415C2212yes—
271#2415C2212yes—
272#2413C2212yes—
273#2409C2212yes—
274#2407C2212yes—
275#2406C2212yes—
276#2401C2212yes—
277#2401C2212yes—
278#2399C2212yes—
279#2396C2212yes—
280#2396C2212yes—
281#2396C2212yes—
282#2396C2212yes—
283#2392C2212yes—
284#2392C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2373C2212yes—
293#2372C2212yes—
294#2371C2212yes—
295#2370C2211yescharacteristic
296#2370C2212yes—
297#2370C2212yes—
298#2370C2212yes—
299#2370C2212yes—
300#2370C2211yescharacteristic
301#2369C2212yes—
302#2368C2212yes—
303#2368C2212yes—
304#2368C2212yes—
305#2368C2212yes—
306#2367C2212yes—
307#2367C2211yescharacteristic
308#2367C2212yes—
309#2367C2211yescharacteristic
310#2364C2212yes—
311#2364C2212yes—
312#2363C2212yes—
313#2362C2211yescharacteristic
314#2362C2211yescharacteristic
315#2361C2211yescharacteristic
316#2361C2212yes—
317#2360C2211yescharacteristic
318#2359C2212yes—
319#2359C2212yes—
320#2359C2212yes—
321#2357C2212yes—
322#2357C2212yes—
323#2356C2211yescharacteristic
324#2356C2212yes—
325#2353C2212yes—
326#2352C2211yescharacteristic
327#2352C2211yescharacteristic
328#2352C2212yes—
329#2351C2211yescharacteristic
330#2351C2212yes—
331#2349C2212yes—
332#2347C2211yescharacteristic
333#2347C2212yes—
334#2345C2212yes—
335#2344C2211yescharacteristic
336#2344C2212yes—
337#2343C2212yes—
338#2343C2212yes—
339#2343C2212yes—
340Q8×C22⋊C4C2211yescharacteristic
341#2339C2211yescharacteristic
342#2339C2212yes—
343#2337C2212yes—
344#2336C2212yes—
345#2335C2212yes—
346#2335C2212yes—
347#2334C2212yes—
348#2332C2212yes—
349#2332C2212yes—
350#2332C2212yes—
351#2331C2212yes—
352#2325C2212yes—
353#2324C2212yes—
354#2322C2212yes—
355#2322C2212yes—
356#2322C2212yes—
357#2322C2212yes—
358#2322C2212yes—
359#2318C2212yes—
360#2318C2212yes—
361C4×#125C2211yescharacteristic
362C4×#125C2211yescharacteristic
363C4×#124C2211yescharacteristic
364C4×C22⋊Q8C2212yes—
365C4×C22⋊Q8C2211yescharacteristic
366C4×C22⋊Q8C2211yescharacteristic
367C4×C22⋊Q8C2211yescharacteristic
368C4×C22⋊Q8C2212yes—
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2212yes—
372C4×C22⋊Q8C2212yes—
373C4×#123C2212yes—
374C4×#123C2212yes—
375C4×#121C2212yes—
376C4×#121C2211yescharacteristic
377C4×#121C2212yes—
378C4×#121C2212yes—
379C4×#121C2211yescharacteristic
380#2297C2212yes—
381#2297C2211yescharacteristic
382#2297C2212yes—
383#2296C2211yescharacteristic
384#2295C2211yescharacteristic
385#2295C2211yescharacteristic
386C2×#391C2211yescharacteristic
387C2×#389C2211yescharacteristic
388#2290C2212yes—
389#2283C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C2×C4×C4⋊C4C2212yes—
395C22×#41C2312yes—
396C22×#41C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#552—28no—
399#548—28no—
400#547—216no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403#529—216no—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#125C2311yescharacteristic
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2311yescharacteristic
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2311yescharacteristic
421C2×#124C2311yescharacteristic
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2312yes—
496#401C2312yes—
497#401C2312yes—
498#401C2312yes—
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#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
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#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2311yescharacteristic
656#391C2311yescharacteristic
657#391C2312yes—
658#391C2311yescharacteristic
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2311yescharacteristic
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2311yescharacteristic
670#391C2311yescharacteristic
671#391C2311yescharacteristic
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2311yescharacteristic
692#390C2311yescharacteristic
693#390C2311yescharacteristic
694#390C2311yescharacteristic
695#390C2312yes—
696#390C2311yescharacteristic
697#389C2311yescharacteristic
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2312yes—
702#389C2312yes—
703#389C2311yescharacteristic
704#389C2311yescharacteristic
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2311yescharacteristic
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2311yescharacteristic
721#389C2311yescharacteristic
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2311yescharacteristic
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2311yescharacteristic
746#389C2312yes—
747#389C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#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#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#384C2312yes—
985#383C2312yes—
986#383C2312yes—
987#383C2312yes—
988#383C2312yes—
989#383C2312yes—
990#383C2312yes—
991#382C2311yescharacteristic
992#382C2311yescharacteristic
993#382C2312yes—
994#382C2312yes—
995#382C2312yes—
996#382C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2311yescharacteristic
1001#382C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#380C2311yescharacteristic
1014#380C2311yescharacteristic
1015#380C2311yescharacteristic
1016#380C2311yescharacteristic
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2311yescharacteristic
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2311yescharacteristic
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2311yescharacteristic
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2311yescharacteristic
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2311yescharacteristic
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2311yescharacteristic
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2311yescharacteristic
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2311yescharacteristic
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2311yescharacteristic
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
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—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—28no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C2×#41—82no—
1150C2×#41—82no—
1151C2×#41#4118yes—
1152C22×Q8—24no—
1153C22×Q8—81no—
1154C22×Q8—81no—
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C22×D4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C4⋊Q8—28no—
1192C4⋊Q8—82no—
1193#126—28no—
1194#126—28no—
1195#126—28no—
1196#126—44no—
1197#126—82no—
1198#126—82no—
1199#125—28no—
1200#125—24no—
1201#125—24no—
1202#125—28no—
1203#125—44no—
1204#125—42no—
1205#125—82no—
1206#125—82no—
1207#124—28no—
1208#124—24no—
1209#124—28no—
1210#124—42no—
1211#123—28no—
1212#123—28no—
1213#123—28no—
1214#123—28no—
1215#123—28no—
1216#123—28no—
1217#123—28no—
1218#123—82no—
1219C22⋊Q8—28no—
1220C22⋊Q8—28no—
1221C22⋊Q8—24no—
1222C22⋊Q8—28no—
1223C22⋊Q8—24no—
1224C22⋊Q8—28no—
1225C22⋊Q8—24no—
1226C22⋊Q8—28no—
1227C22⋊Q8—24no—
1228C22⋊Q8—82no—
1229C22⋊Q8—82no—
1230C22⋊Q8—81no—
1231#121—28no—
1232#121—28no—
1233#121—24no—
1234#121—28no—
1235#121—24no—
1236#121—28no—
1237#121—81no—
1238C4×Q8—24no—
1239C4×Q8—24no—
1240C4×Q8—28no—
1241C4×Q8—82no—
1242C4×Q8—82no—
1243C4×Q8—81no—
1244C4×Q8—81no—
1245C4×Q8—81no—
1246C4×Q8—81no—
1247C4×Q8—81no—
1248C4×D4—28no—
1249C4×D4—28no—
1250C4×D4—28no—
1251C4×D4—28no—
1252C4×D4—24no—
1253C4×D4—28no—
1254C4×D4—24no—
1255C4×D4—28no—
1256C4×D4—42no—
1257C4×D4—44no—
1258C4×D4—44no—
1259C4×D4—81no—
1260C4×D4—82no—
1261C4×D4—82no—
1262C4×D4—81no—
1263C4×D4—82no—
1264C4×D4—81no—
1265C4×D4—82no—
1266#117—28no—
1267#117—28no—
1268#117—44no—
1269#117—81no—
1270#117—82no—
1271#117—81no—
1272#117—82no—
1273#117#4118yescomplemented
1274C2×C4⋊C4—28no—
1275C2×C4⋊C4—28no—
1276C2×C4⋊C4—24no—
1277C2×C4⋊C4—44no—
1278C2×C4⋊C4—81no—
1279C2×C4⋊C4—81no—
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⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2411yescharacteristic
1380C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C42—28no—
1439C2×C42—81no—
1440C2×C42—81no—
1441C2×C42—82no—
1442C2×C42—82no—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2412yes—
1449C2×C42C2411yescharacteristic
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2412yes—
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488#95C2412yes—
1489#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1535#95C2411yescharacteristic
1536#95C2411yescharacteristic
1537#95C2411yescharacteristic
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—
1604C24C2512yes—
1605C24C2511yescharacteristic
1606C24C2512yes—
1607C24C2511yescharacteristic
1608#41—88no—
1609#41—816no—
1610C2×Q8—22no—
1611C2×Q8—24no—
1612C2×Q8—22no—
1613C2×Q8—24no—
1614C2×Q8—24no—
1615C2×Q8—24no—
1616C2×Q8—22no—
1617C2×Q8—42no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—41no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—88no—
1631C2×Q8C2×#4114yes—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—22no—
1635C2×D4—24no—
1636C2×D4—24no—
1637C2×D4—22no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—22no—
1643C2×D4—42no—
1644C2×D4—41no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—41no—
1648C2×D4—41no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—41no—
1657C2×D4C2×#4118yes—
1658C2×D4C2×#4114yes—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—22no—
1667C22×C4—22no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—24no—
1671C22×C4—24no—
1672C22×C4—24no—
1673C22×C4—22no—
1674C22×C4—22no—
1675C22×C4—24no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—41no—
1679C22×C4—41no—
1680C22×C4—41no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—41no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—41no—
1690C22×C4—41no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4—41no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—41no—
1698C22×C4—41no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4C2×#4114yes—
1717C22×C4C2×#4118yes—
1718C22×C4C2×#4114yes—
1719C22×C4C2511yescharacteristic
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2511yescharacteristic
1723C22×C4C2511yescharacteristic
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2511yescharacteristic
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2511yescharacteristic
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2511yescharacteristic
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2511yescharacteristic
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2511yescharacteristic
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2511yescharacteristic
1748C22×C4C2512yes—
1749C22×C4C2511yescharacteristic
1750C22×C4C2511yescharacteristic
1751C22×C4C2511yescharacteristic
1752C22×C4C2512yes—
1753C22×C4C2511yescharacteristic
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—22no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—22no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—22no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—22no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—22no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—41no—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—41no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—41no—
1807C4⋊C4—41no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—41no—
1816C4⋊C4—41no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—41no—
1834C4⋊C4—41no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4C2×#4114yes—
1846C4⋊C4C2×#4114yes—
1847C4⋊C42−1+414yes—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—22no—
1854C22⋊C4—24no—
1855C22⋊C4—22no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—22no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—22no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—22no—
1879C22⋊C4—22no—
1880C22⋊C4—24no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4C2×#4118yes—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—24no—
1916C42—24no—
1917C42—24no—
1918C42—24no—
1919C42—22no—
1920C42—22no—
1921C42—22no—
1922C42—24no—
1923C42—22no—
1924C42—41no—
1925C42—42no—
1926C42—42no—
1927C42—41no—
1928C42—41no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—41no—
1934C42—41no—
1935C42—41no—
1936C42—41no—
1937C42—42no—
1938C42—42no—
1939C42—41no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—42no—
1948C42—42no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—41no—
1953C42—42no—
1954C42—42no—
1955C42—42no—
1956C42C2×#4118yes—
1957C23—21no—
1958C23—22no—
1959C23—21no—
1960C23—22no—
1961C23—21no—
1962C23—21no—
1963C23—21no—
1964C23—21no—
1965C23—22no—
1966C23—21no—
1967C23—22no—
1968C23—21no—
1969C23—21no—
1970C23—22no—
1971C23—21no—
1972C23—21no—
1973C23—22no—
1974C23—21no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23C22×#4112yes—
1983C23C22×#4114yes—
1984C23C22×#4112yes—
1985C23C2611yescharacteristic
1986Q8—44no—
1987Q8—48no—
1988Q8—44no—
1989Q8—44no—
1990Q8—82no—
1991Q8—84no—
1992Q8—84no—
1993D4—44no—
1994D4—48no—
1995D4—48no—
1996D4—48no—
1997D4—44no—
1998D4—48no—
1999D4—48no—
2000D4—82no—
2001D4—84no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—21no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
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—21no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—44no—
2098C2×C4—44no—
2099C2×C4—48no—
2100C2×C4—48no—
2101C2×C4—48no—
2102C2×C4—48no—
2103C2×C4—44no—
2104C2×C4—44no—
2105C2×C4—48no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—82no—
2110C2×C4—82no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—84no—
2114C2×C4—84no—
2115C2×C4—162no—
2116C2×C4—162no—
2117C2×C4C22×#4112yes—
2118C2×C4C22×#4114yes—
2119C2×C4C22×#4114yes—
2120C2×C4C22×#4114yes—
2121C2×C4C22×#4112yes—
2122C2×C4C22×#4112yes—
2123C2×C4C22×#4112yes—
2124C2×C4C2×2−1+412yes—
2125C2×C4C2×2−1+414yes—
2126C2×C4#58512yes—
2127C22—22no—
2128C22—22no—
2129C22—24no—
2130C22—24no—
2131C22—22no—
2132C22—22no—
2133C22—22no—
2134C22—24no—
2135C22—22no—
2136C22—42no—
2137C22—41no—
2138C22—41no—
2139C22—42no—
2140C22—41no—
2141C22—41no—
2142C22—41no—
2143C22—41no—
2144C22—42no—
2145C22—41no—
2146C22—41no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22C23×#4111yescharacteristic
2156C22C23×#4111yescharacteristic
2157C22C22×2−1+411yescharacteristic
2158C22C2×#58511yescharacteristic
2159C22H(7,𝔽2)11yescharacteristic
2160C22H(7,𝔽2)11yescharacteristic
2161C222−1+611yescharacteristic
2162C4—24no—
2163C4—24no—
2164C4—22no—
2165C4—22no—
2166C4—22no—
2167C4—24no—
2168C4—22no—
2169C4—22no—
2170C4—22no—
2171C4—24no—
2172C4—41no—
2173C4—42no—
2174C4—41no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—41no—
2183C4—42no—
2184C4—42no—
2185C4—41no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—41no—
2191C4—41no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C4—42no—
2196C4—41no—
2197C2—42no—
2198C2—44no—
2199C2—42no—
2200C2—82no—
2201C2#41211yescharacteristic
2202C2#6284411yescharacteristic
2203C2#6285611yescharacteristic
2204C2#6296211yescharacteristic
2205C2#6300011yescharacteristic
2206C2#6300111yescharacteristic
2207C2#6305911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60028C2semidirect
2. #59927C2semidirect
3. #59911C2semidirect
4. #59886C2semidirect
5. #59866C2semidirect
6. #59355C2semidirect
7. #52304C2semidirect
8. #52288C2semidirect
9. #52169C2semidirect
10. #44582C2semidirect
11. #44141C2semidirect
12. #43824C2semidirect
13. #43821C2semidirect
14. #43581C2semidirect
15. #43426C2semidirect
16. #43167C2semidirect
17. #43163C2semidirect
18. #43073C2semidirect
19. #40444C2semidirect
20. #39956C2semidirect
21. #39840C2semidirect
22. #39837C2semidirect
23. #39581C2semidirect
24. #38870C2semidirect
25. #38828C2semidirect
26. #38769C2semidirect
27. #38446C2semidirect
28. #38425C2semidirect
29. #38384C2semidirect
30. #37992C2semidirect
31. #36571C2semidirect
32. #36537C2semidirect
33. #35935C2semidirect
34. #35790C2semidirect
35. #35781C2semidirect
36. #34327C2semidirect
37. #34314C2semidirect
38. #34298C2semidirect
39. #34224C2semidirect
1273. #117#41semidirect

Maximal subgroups

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

subgroupindex
#600282
#599272
#599112
#598862
#598662
#593552
#523042
#522882
#521692
#445822
#441412
#438242
#438212
#435812
#434262
#431672
#431632
#430732
#404442
#399562
#398402
#398372
#395812
#388702
#388282
#387692
#384462
#384252
#383842
#379922
#365712
#365372
#359352
#357902
#357812
#343272
#343142
#342982
#342242