Finite Group Databasebeta

← #7695625

Subgroups — #7695625

Order 512.

4882 conjugacy classes of subgroups.

The subgroup lattice has 2281 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C211yesmaximal, characteristic, complemented
2#60038C212yesmaximal, complemented
3#59887C212yesmaximal, complemented
4#59886C211yesmaximal, characteristic, complemented
5#59880C211yesmaximal, characteristic, complemented
6#59319C212yesmaximal, complemented
7#52290C211yesmaximal, characteristic, complemented
8#52287C211yesmaximal, characteristic, complemented
9#52167C211yesmaximal, characteristic, complemented
10#44645C212yesmaximal, complemented
11#44267C212yesmaximal, complemented
12#44252C212yesmaximal, complemented
13#44164C212yesmaximal, complemented
14#44142C212yesmaximal, complemented
15#43972C212yesmaximal, complemented
16#43952C212yesmaximal, complemented
17#43374C212yesmaximal, complemented
18#43193C212yesmaximal, complemented
19#40438C212yesmaximal, complemented
20#39950C212yesmaximal, complemented
21#39835C212yesmaximal, complemented
22#39830C211yesmaximal, characteristic, complemented
23#39583C211yesmaximal, characteristic, complemented
24#38881C212yesmaximal, complemented
25#38820C211yesmaximal, characteristic, complemented
26#38762C211yesmaximal, characteristic, complemented
27#38444C211yesmaximal, characteristic, complemented
28#38434C211yesmaximal, characteristic, complemented
29#38369C212yesmaximal, complemented
30#38011C212yesmaximal, complemented
31#36402C211yesmaximal, characteristic, complemented
32#36397C212yesmaximal, complemented
33#35933C212yesmaximal, complemented
34#35812C212yesmaximal, complemented
35#35744C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34316C211yesmaximal, characteristic, complemented
38#34297C212yesmaximal, complemented
39#34226C212yesmaximal, complemented
40C2×#552C2212yes—
41C2×#548C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#532C2212yes—
44#2865C2212yes—
45#2861C2212yes—
46#2860C2211yescharacteristic
47#2855C2211yescharacteristic
48#2853C2212yes—
49#2850C2211yescharacteristic
50#2811C2211yescharacteristic
51#2808C2211yescharacteristic
52#2808C2211yescharacteristic
53#2806C2211yescharacteristic
54#2806C2211yescharacteristic
55#2806C2212yes—
56#2806C2211yescharacteristic
57#2806C2212yes—
58#2805C2211yescharacteristic
59#2804C2211yescharacteristic
60#2804C2211yescharacteristic
61#2799C2212yes—
62#2795C2212yes—
63#2793C2212yes—
64#2792C2212yes—
65#2792C2212yes—
66#2792C2212yes—
67#2791C2212yes—
68#2790C2212yes—
69#2788C2212yes—
70#2787C2212yes—
71#2775C2212yes—
72#2774C2212yes—
73#2768C2212yes—
74#2759C2212yes—
75#2757C2212yes—
76#2751C2212yes—
77#2747C2212yes—
78#2746C2212yes—
79#2746C2212yes—
80#2745C2212yes—
81#2745C2212yes—
82#2740C2212yes—
83#2734C2211yescharacteristic
84#2734C2212yes—
85#2733C2211yescharacteristic
86#2732C2211yescharacteristic
87#2732C2211yescharacteristic
88#2731C2212yes—
89#2731C2212yes—
90#2730C2212yes—
91#2729C2212yes—
92#2728C2212yes—
93#2726C2211yescharacteristic
94#2723C2212yes—
95#2720C2212yes—
96#2720C2212yes—
97#2718C2212yes—
98#2717C2212yes—
99#2711C2212yes—
100#2711C2212yes—
101#2709C2212yes—
102#2708C2212yes—
103#2707C2212yes—
104#2706C2212yes—
105#2699C2212yes—
106#2696C2212yes—
107#2696C2212yes—
108#2692C2212yes—
109#2691C2212yes—
110#2687C2212yes—
111#2686C2212yes—
112#2686C2212yes—
113#2686C2212yes—
114#2686C2212yes—
115#2682C2211yescharacteristic
116#2682C2211yescharacteristic
117#2673C2212yes—
118#2673C2212yes—
119#2673C2212yes—
120#2665C2212yes—
121#2664C2212yes—
122#2662C2212yes—
123#2662C2212yes—
124#2662C2212yes—
125#2651C2212yes—
126#2650C2212yes—
127#2638C2212yes—
128#2630C2212yes—
129#2611C2212yes—
130#2610C2212yes—
131#2610C2212yes—
132#2610C2212yes—
133#2610C2212yes—
134#2609C2212yes—
135#2607C2212yes—
136#2604C2212yes—
137#2603C2212yes—
138#2603C2212yes—
139#2603C2212yes—
140#2602C2212yes—
141#2602C2212yes—
142#2602C2212yes—
143#2602C2212yes—
144#2601C2212yes—
145#2601C2212yes—
146#2601C2212yes—
147#2601C2212yes—
148#2600C2212yes—
149#2600C2212yes—
150#2599C2212yes—
151#2597C2212yes—
152#2597C2212yes—
153#2596C2212yes—
154#2595C2212yes—
155#2595C2212yes—
156#2594C2212yes—
157#2594C2212yes—
158#2594C2212yes—
159#2593C2212yes—
160#2593C2212yes—
161#2589C2212yes—
162#2588C2212yes—
163#2588C2212yes—
164#2587C2212yes—
165#2585C2212yes—
166#2579C2212yes—
167#2579C2212yes—
168#2577C2212yes—
169#2576C2212yes—
170#2574C2212yes—
171#2574C2212yes—
172#2574C2212yes—
173#2574C2212yes—
174#2573C2212yes—
175#2572C2212yes—
176#2569C2212yes—
177#2564C2212yes—
178#2564C2212yes—
179#2564C2212yes—
180#2562C2212yes—
181#2560C2212yes—
182#2560C2212yes—
183#2560C2212yes—
184#2557C2212yes—
185#2555C2212yes—
186#2554C2212yes—
187#2554C2212yes—
188#2554C2212yes—
189#2553C2212yes—
190#2549C2212yes—
191#2543C2212yes—
192#2540C2212yes—
193#2531C2212yes—
194#2531C2212yes—
195#2529C2212yes—
196#2528C2212yes—
197#2527C2212yes—
198#2527C2212yes—
199#2525C2212yes—
200#2525C2212yes—
201#2522C2212yes—
202#2521C2212yes—
203#2521C2212yes—
204#2520C2212yes—
205#2520C2212yes—
206#2516C2212yes—
207#2516C2212yes—
208#2515C2212yes—
209#2508C2211yescharacteristic
210#2505C2212yes—
211#2505C2212yes—
212#2494C2211yescharacteristic
213#2479C2212yes—
214#2477C2212yes—
215#2476C2212yes—
216#2475C2212yes—
217#2474C2212yes—
218#2473C2212yes—
219#2471C2212yes—
220#2471C2212yes—
221#2470C2212yes—
222#2469C2212yes—
223#2469C2212yes—
224#2469C2212yes—
225#2468C2212yes—
226#2468C2212yes—
227#2468C2212yes—
228#2468C2212yes—
229#2466C2212yes—
230#2466C2212yes—
231#2465C2212yes—
232#2465C2212yes—
233#2464C2212yes—
234#2464C2212yes—
235#2461C2212yes—
236#2461C2212yes—
237#2461C2212yes—
238#2459C2212yes—
239#2458C2212yes—
240#2458C2212yes—
241#2458C2212yes—
242#2458C2212yes—
243#2458C2212yes—
244#2457C2212yes—
245#2455C2212yes—
246#2450C2212yes—
247#2450C2212yes—
248#2449C2212yes—
249#2447C2211yescharacteristic
250#2444C2212yes—
251#2443C2212yes—
252#2438C2212yes—
253#2438C2212yes—
254#2438C2212yes—
255#2430C2212yes—
256#2430C2212yes—
257#2430C2212yes—
258#2426C2211yescharacteristic
259#2426C2212yes—
260#2425C2212yes—
261#2425C2212yes—
262#2425C2212yes—
263#2421C2212yes—
264#2419C2212yes—
265#2417C2212yes—
266#2416C2212yes—
267#2415C2212yes—
268#2415C2211yescharacteristic
269#2414C2212yes—
270#2414C2211yescharacteristic
271#2409C2212yes—
272#2409C2212yes—
273#2407C2212yes—
274#2407C2212yes—
275#2406C2212yes—
276#2402C2212yes—
277#2399C2212yes—
278#2399C2212yes—
279#2399C2212yes—
280#2399C2212yes—
281#2396C2212yes—
282#2392C2212yes—
283#2388C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2372C2212yes—
291#2371C2212yes—
292#2371C2212yes—
293#2370C2212yes—
294#2368C2212yes—
295#2368C2212yes—
296#2368C2212yes—
297#2367C2211yescharacteristic
298#2367C2212yes—
299#2367C2212yes—
300#2367C2212yes—
301#2367C2212yes—
302#2367C2212yes—
303#2365C2211yescharacteristic
304#2364C2212yes—
305#2364C2212yes—
306#2363C2212yes—
307#2363C2211yescharacteristic
308#2363C2212yes—
309#2363C2212yes—
310#2363C2212yes—
311#2363C2212yes—
312#2362C2211yescharacteristic
313#2362C2211yescharacteristic
314#2362C2211yescharacteristic
315#2362C2211yescharacteristic
316#2361C2211yescharacteristic
317#2359C2212yes—
318#2359C2212yes—
319#2359C2212yes—
320#2359C2212yes—
321#2357C2212yes—
322#2357C2212yes—
323#2356C2211yescharacteristic
324#2354C2211yescharacteristic
325#2354C2211yescharacteristic
326#2353C2212yes—
327#2353C2212yes—
328#2352C2211yescharacteristic
329#2349C2212yes—
330#2349C2212yes—
331#2345C2212yes—
332#2344C2212yes—
333#2343C2212yes—
334#2343C2212yes—
335#2343C2212yes—
336#2341C2211yescharacteristic
337#2341C2211yescharacteristic
338#2341C2212yes—
339Q8×C22⋊C4C2211yescharacteristic
340#2339C2211yescharacteristic
341#2339C2212yes—
342#2339C2212yes—
343#2337C2212yes—
344#2336C2212yes—
345#2336C2212yes—
346#2335C2212yes—
347#2335C2212yes—
348#2334C2212yes—
349#2332C2212yes—
350#2332C2212yes—
351#2329C2212yes—
352#2325C2212yes—
353#2324C2212yes—
354#2324C2212yes—
355#2324C2212yes—
356#2324C2212yes—
357#2324C2212yes—
358#2322C2212yes—
359#2319C2212yes—
360#2319C2212yes—
361C4×C4⋊Q8C2211yescharacteristic
362C4×C4⋊Q8C2212yes—
363C4×C4⋊Q8C2212yes—
364C4×#127C2212yes—
365C4×#127C2212yes—
366C4×#125C2212yes—
367C4×#126C2212yes—
368C4×#124C2211yescharacteristic
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×#123C2212yes—
373C4×#123C2212yes—
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376#2298C2212yes—
377#2298C2212yes—
378#2297C2211yescharacteristic
379#2297C2211yescharacteristic
380#2297C2211yescharacteristic
381#2296C2211yescharacteristic
382#2295C2212yes—
383#2295C2211yescharacteristic
384#2295C2212yes—
385#2295C2211yescharacteristic
386C2×#391C2211yescharacteristic
387#2293C2211yescharacteristic
388C2×#387C2212yes—
389#2285C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C4×#117C2212yes—
395C22×#41C2312yes—
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398C22×#41C2311yescharacteristic
399C23×Q8C2311yescharacteristic
400#552—216no—
401#548—28no—
402#547—28no—
403#532—216no—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×#127C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#124C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2311yescharacteristic
422C2×#124C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510#401C2312yes—
511#401C2312yes—
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#398C2312yes—
535#398C2312yes—
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#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
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#394C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2311yescharacteristic
674#391C2311yescharacteristic
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2311yescharacteristic
725#390C2311yescharacteristic
726#390C2311yescharacteristic
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2311yescharacteristic
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#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#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#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#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#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#384C2311yescharacteristic
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#382C2312yes—
1009#382C2311yescharacteristic
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2311yescharacteristic
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2311yescharacteristic
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2311yescharacteristic
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2311yescharacteristic
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
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—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2312yes—
1144C43C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—24no—
1148C2×#41—28no—
1149C2×#41—81no—
1150C2×#41—81no—
1151C2×#41—81no—
1152C2×#41—81no—
1153C2×#41—81no—
1154C2×#41—81no—
1155C2×#41—82no—
1156C2×#41—82no—
1157C2×#41#4118yescomplemented
1158C22×Q8—24no—
1159C22×Q8—81no—
1160C22×Q8—81no—
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2412yes—
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2411yescharacteristic
1168C22×Q8C2411yescharacteristic
1169C22×D4C2411yescharacteristic
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2411yescharacteristic
1175C22×D4C2412yes—
1176C22×D4C2411yescharacteristic
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2411yescharacteristic
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2411yescharacteristic
1206C4⋊Q8—28no—
1207C4⋊Q8—24no—
1208#127—28no—
1209#126—28no—
1210#126—28no—
1211#126—44no—
1212#126—82no—
1213#126—82no—
1214#126—82no—
1215#125—28no—
1216#125—28no—
1217#125—28no—
1218#124—28no—
1219#124—28no—
1220#124—24no—
1221#124—28no—
1222#124—44no—
1223#124—81no—
1224#124—82no—
1225#123—28no—
1226#123—28no—
1227#123—28no—
1228#123—28no—
1229#123—28no—
1230#123—82no—
1231#123—82no—
1232#123—82no—
1233#123—82no—
1234#123—82no—
1235C22⋊Q8—24no—
1236C22⋊Q8—28no—
1237C22⋊Q8—28no—
1238C22⋊Q8—24no—
1239C22⋊Q8—28no—
1240C22⋊Q8—24no—
1241C22⋊Q8—42no—
1242C22⋊Q8—82no—
1243C22⋊Q8—82no—
1244C22⋊Q8—82no—
1245C22⋊Q8—81no—
1246C22⋊Q8—82no—
1247#121—28no—
1248#121—28no—
1249#121—28no—
1250#121—28no—
1251#121—28no—
1252#121—28no—
1253#121—24no—
1254#121—24no—
1255#121—42no—
1256#121—82no—
1257#121—82no—
1258#121—82no—
1259C4×Q8—24no—
1260C4×Q8—81no—
1261C4×Q8—81no—
1262C4×Q8—81no—
1263C4×Q8—81no—
1264C4×Q8—82no—
1265C4×Q8—81no—
1266C4×Q8—81no—
1267C4×Q8—82no—
1268C4×Q8—82no—
1269C4×Q8#4118yescomplemented
1270C4×D4—24no—
1271C4×D4—28no—
1272C4×D4—28no—
1273C4×D4—28no—
1274C4×D4—28no—
1275C4×D4—24no—
1276C4×D4—24no—
1277C4×D4—28no—
1278C4×D4—28no—
1279C4×D4—44no—
1280C4×D4—44no—
1281C4×D4—42no—
1282C4×D4—81no—
1283C4×D4—81no—
1284C4×D4—82no—
1285C4×D4—82no—
1286C4×D4—82no—
1287C4×D4—82no—
1288C4×D4—82no—
1289C4×D4—82no—
1290C4×D4—82no—
1291C4×D4—82no—
1292C4×D4—82no—
1293C4×D4—81no—
1294#117—28no—
1295#117—24no—
1296#117—28no—
1297#117—28no—
1298#117—44no—
1299#117—44no—
1300#117—81no—
1301#117—82no—
1302#117—81no—
1303#117—81no—
1304#117—82no—
1305#117—81no—
1306C2×C4⋊C4—28no—
1307C2×C4⋊C4—28no—
1308C2×C4⋊C4—81no—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2411yescharacteristic
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2411yescharacteristic
1391C2×C4⋊C4C2411yescharacteristic
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1411C2×C22⋊C4C2411yescharacteristic
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2411yescharacteristic
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×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⋊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⋊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×C42—28no—
1474C2×C42—81no—
1475C2×C42—81no—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2412yes—
1520#95C2412yes—
1521#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1572#95C2412yes—
1573#95C2411yescharacteristic
1574#95C2411yescharacteristic
1575#95C2412yes—
1576#95C2412yes—
1577#95C2411yescharacteristic
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—
1622C24C2512yes—
1623C24C2511yescharacteristic
1624C24C2512yes—
1625C24C2512yes—
1626C24C2511yescharacteristic
1627#41—88no—
1628#41—816no—
1629#41—88no—
1630#41—88no—
1631C2×Q8—22no—
1632C2×Q8—22no—
1633C2×Q8—24no—
1634C2×Q8—24no—
1635C2×Q8—22no—
1636C2×Q8—41no—
1637C2×Q8—41no—
1638C2×Q8—41no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—41no—
1644C2×Q8—41no—
1645C2×Q8—41no—
1646C2×Q8—42no—
1647C2×Q8—41no—
1648C2×Q8—41no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—88no—
1654C2×Q8C2×#4114yes—
1655C2×Q8C2×#4114yes—
1656C2×D4—22no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—24no—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—24no—
1663C2×D4—24no—
1664C2×D4—22no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—22no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—22no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—41no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—41no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—41no—
1684C2×D4—41no—
1685C2×D4—41no—
1686C2×D4—42no—
1687C2×D4—41no—
1688C2×D4—41no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4C2×#4114yes—
1703C2×D4C2×#4118yes—
1704C22×C4—24no—
1705C22×C4—24no—
1706C22×C4—24no—
1707C22×C4—24no—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—22no—
1711C22×C4—22no—
1712C22×C4—22no—
1713C22×C4—22no—
1714C22×C4—24no—
1715C22×C4—22no—
1716C22×C4—24no—
1717C22×C4—24no—
1718C22×C4—24no—
1719C22×C4—24no—
1720C22×C4—24no—
1721C22×C4—24no—
1722C22×C4—22no—
1723C22×C4—41no—
1724C22×C4—41no—
1725C22×C4—41no—
1726C22×C4—41no—
1727C22×C4—41no—
1728C22×C4—41no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—41no—
1733C22×C4—41no—
1734C22×C4—41no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—41no—
1738C22×C4—41no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
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—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4C2×#4118yes—
1766C22×C4C2×#4114yes—
1767C22×C4C2512yes—
1768C22×C4C2511yescharacteristic
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2511yescharacteristic
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2511yescharacteristic
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2511yescharacteristic
1795C22×C4C2511yescharacteristic
1796C22×C4C2511yescharacteristic
1797C22×C4C2511yescharacteristic
1798C22×C4C2511yescharacteristic
1799C22×C4C2512yes—
1800C22×C4C2511yescharacteristic
1801C4⋊C4—22no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—22no—
1818C4⋊C4—22no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—22no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—22no—
1830C4⋊C4—24no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—41no—
1837C4⋊C4—41no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—41no—
1844C4⋊C4—41no—
1845C4⋊C4—41no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—41no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—41no—
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—41no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—41no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4C2×#4118yes—
1882C4⋊C4C2×#4114yes—
1883C4⋊C42−1+414yes—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—22no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—22no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—22no—
1902C22⋊C4—22no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—22no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—41no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
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⋊C4—42no—
1965C42—24no—
1966C42—24no—
1967C42—24no—
1968C42—24no—
1969C42—24no—
1970C42—24no—
1971C42—22no—
1972C42—24no—
1973C42—22no—
1974C42—24no—
1975C42—24no—
1976C42—24no—
1977C42—41no—
1978C42—41no—
1979C42—41no—
1980C42—41no—
1981C42—41no—
1982C42—41no—
1983C42—41no—
1984C42—42no—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—41no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—41no—
1999C42—42no—
2000C42—41no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42C2×#4114yes—
2008C42C2×#4118yes—
2009C23—22no—
2010C23—21no—
2011C23—22no—
2012C23—21no—
2013C23—22no—
2014C23—21no—
2015C23—22no—
2016C23—21no—
2017C23—21no—
2018C23—21no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—21no—
2023C23—22no—
2024C23—21no—
2025C23—22no—
2026C23—22no—
2027C23—21no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—21no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—21no—
2037C23—21no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—21no—
2042C23C22×#4112yes—
2043C23C22×#4114yes—
2044C23C2611yescharacteristic
2045Q8—44no—
2046Q8—44no—
2047Q8—44no—
2048Q8—44no—
2049Q8—48no—
2050Q8—82no—
2051Q8—84no—
2052Q8—84no—
2053D4—48no—
2054D4—44no—
2055D4—48no—
2056D4—48no—
2057D4—44no—
2058D4—48no—
2059D4—48no—
2060D4—48no—
2061D4—44no—
2062D4—82no—
2063D4—84no—
2064D4—84no—
2065D4—84no—
2066D4—84no—
2067D4—84no—
2068D4—162no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—21no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—21no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
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—22no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—21no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—21no—
2119C2×C4—21no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—21no—
2126C2×C4—21no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—21no—
2133C2×C4—21no—
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—21no—
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—21no—
2160C2×C4—44no—
2161C2×C4—48no—
2162C2×C4—44no—
2163C2×C4—48no—
2164C2×C4—48no—
2165C2×C4—48no—
2166C2×C4—44no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—84no—
2170C2×C4—84no—
2171C2×C4—82no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—84no—
2175C2×C4—84no—
2176C2×C4—84no—
2177C2×C4—162no—
2178C2×C4—162no—
2179C2×C4—162no—
2180C2×C4—162no—
2181C2×C4C22×#4112yes—
2182C2×C4C22×#4112yes—
2183C2×C4C22×#4114yes—
2184C2×C4C22×#4114yes—
2185C2×C4C22×#4112yes—
2186C2×C4C22×#4112yes—
2187C2×C4C22×#4112yes—
2188C2×C4C22×#4114yes—
2189C2×C4C2×2−1+414yes—
2190C2×C4C2×2−1+412yes—
2191C2×C4#58512yes—
2192C22—24no—
2193C22—22no—
2194C22—24no—
2195C22—22no—
2196C22—24no—
2197C22—22no—
2198C22—42no—
2199C22—41no—
2200C22—41no—
2201C22—42no—
2202C22—41no—
2203C22—42no—
2204C22—41no—
2205C22—42no—
2206C22—42no—
2207C22—41no—
2208C22—42no—
2209C22—42no—
2210C22—42no—
2211C22—41no—
2212C22—42no—
2213C22—42no—
2214C22—41no—
2215C22—41no—
2216C22—42no—
2217C22—42no—
2218C22—41no—
2219C22—42no—
2220C22—42no—
2221C22—41no—
2222C22—42no—
2223C22—42no—
2224C22—42no—
2225C22—41no—
2226C22—42no—
2227C22C23×#4111yescharacteristic
2228C22C23×#4111yescharacteristic
2229C22C22×2−1+411yescharacteristic
2230C22C2×#58511yescharacteristic
2231C22H(7,𝔽2)11yescharacteristic
2232C22H(7,𝔽2)11yescharacteristic
2233C22H(7,𝔽2)11yescharacteristic
2234C4—22no—
2235C4—24no—
2236C4—22no—
2237C4—22no—
2238C4—24no—
2239C4—22no—
2240C4—24no—
2241C4—22no—
2242C4—22no—
2243C4—22no—
2244C4—24no—
2245C4—42no—
2246C4—42no—
2247C4—41no—
2248C4—42no—
2249C4—42no—
2250C4—41no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—41no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—41no—
2260C4—41no—
2261C4—42no—
2262C4—42no—
2263C4—42no—
2264C4—41no—
2265C4—42no—
2266C4—42no—
2267C4—42no—
2268C2—44no—
2269C2—42no—
2270C2—82no—
2271C2—82no—
2272C2—81no—
2273C2#41211yescharacteristic
2274C2#6284411yescharacteristic
2275C2#6285511yescharacteristic
2276C2#6295811yescharacteristic
2277C2#6299911yescharacteristic
2278C2#6300011yescharacteristic
2279C2#6306011yescharacteristic
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. #60044C2semidirect
2. #60038C2semidirect
3. #59887C2semidirect
4. #59886C2semidirect
5. #59880C2semidirect
6. #59319C2semidirect
7. #52290C2semidirect
8. #52287C2semidirect
9. #52167C2semidirect
10. #44645C2semidirect
11. #44267C2semidirect
12. #44252C2semidirect
13. #44164C2semidirect
14. #44142C2semidirect
15. #43972C2semidirect
16. #43952C2semidirect
17. #43374C2semidirect
18. #43193C2semidirect
19. #40438C2semidirect
20. #39950C2semidirect
21. #39835C2semidirect
22. #39830C2semidirect
23. #39583C2semidirect
24. #38881C2semidirect
25. #38820C2semidirect
26. #38762C2semidirect
27. #38444C2semidirect
28. #38434C2semidirect
29. #38369C2semidirect
30. #38011C2semidirect
31. #36402C2semidirect
32. #36397C2semidirect
33. #35933C2semidirect
34. #35812C2semidirect
35. #35744C2semidirect
36. #34327C2semidirect
37. #34316C2semidirect
38. #34297C2semidirect
39. #34226C2semidirect
1157. C2×#41#41semidirect
1269. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#600382
#598872
#598862
#598802
#593192
#522902
#522872
#521672
#446452
#442672
#442522
#441642
#441422
#439722
#439522
#433742
#431932
#404382
#399502
#398352
#398302
#395832
#388812
#388202
#387622
#384442
#384342
#383692
#380112
#364022
#363972
#359332
#358122
#357442
#343272
#343162
#342972
#342262