Finite Group Databasebeta

← #7695085

Subgroups — #7695085

Order 512.

4976 conjugacy classes of subgroups.

The subgroup lattice has 2331 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60048C211yesmaximal, characteristic, complemented
2#60007C212yesmaximal, complemented
3#59885C211yesmaximal, characteristic, complemented
4#59878C211yesmaximal, characteristic, complemented
5#59358C212yesmaximal, complemented
6#59341C212yesmaximal, complemented
7#52278C211yesmaximal, characteristic, complemented
8#52167C211yesmaximal, characteristic, complemented
9#52160C211yesmaximal, characteristic, complemented
10#44647C212yesmaximal, complemented
11#44260C212yesmaximal, complemented
12#44251C212yesmaximal, complemented
13#44161C212yesmaximal, complemented
14#44144C212yesmaximal, complemented
15#43969C212yesmaximal, complemented
16#43950C212yesmaximal, complemented
17#43379C212yesmaximal, complemented
18#43184C212yesmaximal, complemented
19#40378C212yesmaximal, complemented
20#40361C212yesmaximal, complemented
21#39865C212yesmaximal, complemented
22#39858C212yesmaximal, complemented
23#39582C211yesmaximal, characteristic, complemented
24#39572C211yesmaximal, characteristic, complemented
25#38782C211yesmaximal, characteristic, complemented
26#38780C211yesmaximal, characteristic, complemented
27#38454C211yesmaximal, characteristic, complemented
28#38444C211yesmaximal, characteristic, complemented
29#38003C212yesmaximal, complemented
30#37993C212yesmaximal, complemented
31#36392C211yesmaximal, characteristic, complemented
32#36359C212yesmaximal, complemented
33#35827C212yesmaximal, complemented
34#35769C212yesmaximal, complemented
35#35684C212yesmaximal, complemented
36#34330C211yesmaximal, characteristic, complemented
37#34327C211yesmaximal, characteristic, complemented
38#34222C212yesmaximal, complemented
39#34219C212yesmaximal, complemented
40C2×#550C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#532C2212yes—
43C2×#529C2212yes—
44#2863C2211yescharacteristic
45#2855C2211yescharacteristic
46#2854C2212yes—
47#2851C2211yescharacteristic
48#2850C2212yes—
49#2850C2212yes—
50#2811C2211yescharacteristic
51#2809C2211yescharacteristic
52#2808C2211yescharacteristic
53#2808C2211yescharacteristic
54#2806C2211yescharacteristic
55#2805C2211yescharacteristic
56#2804C2211yescharacteristic
57#2799C2212yes—
58#2799C2212yes—
59#2797C2212yes—
60#2797C2212yes—
61#2793C2212yes—
62#2786C2212yes—
63#2779C2212yes—
64#2779C2212yes—
65#2778C2212yes—
66#2774C2212yes—
67#2773C2212yes—
68#2754C2212yes—
69#2753C2212yes—
70#2746C2212yes—
71#2745C2212yes—
72#2743C2212yes—
73#2741C2212yes—
74#2740C2212yes—
75#2737C2212yes—
76#2734C2211yescharacteristic
77#2733C2211yescharacteristic
78#2733C2211yescharacteristic
79#2733C2211yescharacteristic
80#2732C2211yescharacteristic
81#2731C2212yes—
82#2730C2212yes—
83#2730C2212yes—
84#2730C2212yes—
85#2727C2211yescharacteristic
86#2727C2211yescharacteristic
87#2723C2212yes—
88#2723C2212yes—
89#2721C2212yes—
90#2715C2212yes—
91#2714C2212yes—
92#2714C2212yes—
93#2714C2212yes—
94#2709C2212yes—
95#2705C2212yes—
96#2703C2212yes—
97#2702C2212yes—
98#2701C2212yes—
99#2700C2212yes—
100#2699C2212yes—
101#2696C2212yes—
102#2696C2212yes—
103#2694C2212yes—
104#2692C2212yes—
105#2688C2212yes—
106#2688C2212yes—
107#2688C2212yes—
108#2686C2212yes—
109#2686C2212yes—
110#2682C2211yescharacteristic
111#2682C2211yescharacteristic
112#2673C2212yes—
113#2673C2212yes—
114#2673C2212yes—
115#2673C2212yes—
116#2673C2212yes—
117#2673C2212yes—
118#2671C2212yes—
119#2671C2212yes—
120#2666C2212yes—
121#2665C2212yes—
122#2651C2212yes—
123#2648C2212yes—
124#2635C2212yes—
125#2635C2212yes—
126#2635C2212yes—
127#2631C2212yes—
128#2631C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2610C2212yes—
132#2610C2212yes—
133#2610C2212yes—
134#2610C2212yes—
135#2610C2212yes—
136#2607C2212yes—
137#2607C2212yes—
138#2605C2212yes—
139#2605C2212yes—
140#2604C2212yes—
141#2603C2212yes—
142#2602C2212yes—
143#2602C2212yes—
144#2602C2212yes—
145#2600C2212yes—
146#2600C2212yes—
147#2598C2212yes—
148#2598C2212yes—
149#2597C2212yes—
150#2597C2212yes—
151#2596C2212yes—
152#2593C2212yes—
153#2591C2212yes—
154#2588C2212yes—
155#2586C2212yes—
156#2578C2212yes—
157#2577C2212yes—
158#2576C2212yes—
159#2576C2212yes—
160#2576C2212yes—
161#2576C2212yes—
162#2575C2212yes—
163#2572C2212yes—
164#2564C2212yes—
165#2560C2212yes—
166#2559C2212yes—
167#2557C2212yes—
168#2557C2212yes—
169#2557C2212yes—
170#2556C2212yes—
171#2555C2212yes—
172#2555C2212yes—
173#2555C2212yes—
174#2554C2212yes—
175#2554C2212yes—
176#2553C2212yes—
177#2553C2212yes—
178#2549C2212yes—
179#2544C2212yes—
180#2544C2212yes—
181#2543C2212yes—
182#2543C2212yes—
183#2543C2212yes—
184#2541C2212yes—
185#2540C2212yes—
186#2535C2212yes—
187#2533C2212yes—
188#2532C2212yes—
189#2532C2212yes—
190#2532C2212yes—
191#2532C2212yes—
192#2531C2212yes—
193#2531C2212yes—
194#2531C2212yes—
195#2530C2212yes—
196#2529C2212yes—
197#2529C2212yes—
198#2528C2212yes—
199#2527C2212yes—
200#2527C2212yes—
201#2527C2212yes—
202#2526C2212yes—
203#2526C2212yes—
204#2526C2212yes—
205#2525C2212yes—
206#2522C2212yes—
207#2521C2212yes—
208#2521C2212yes—
209#2521C2212yes—
210#2520C2212yes—
211#2518C2212yes—
212#2517C2212yes—
213#2516C2212yes—
214#2516C2212yes—
215#2516C2212yes—
216#2514C2211yescharacteristic
217#2510C2212yes—
218#2490C2212yes—
219#2489C2211yescharacteristic
220#2489C2212yes—
221#2488C2212yes—
222#2488C2212yes—
223#2488C2212yes—
224#2485C2211yescharacteristic
225#2478C2212yes—
226#2470C2212yes—
227#2467C2212yes—
228#2467C2212yes—
229#2467C2212yes—
230#2467C2212yes—
231#2467C2212yes—
232#2465C2212yes—
233#2464C2212yes—
234#2461C2212yes—
235#2461C2212yes—
236#2461C2212yes—
237#2460C2212yes—
238#2459C2212yes—
239#2459C2212yes—
240#2459C2212yes—
241#2459C2212yes—
242#2459C2212yes—
243#2459C2212yes—
244#2459C2212yes—
245#2458C2212yes—
246#2457C2212yes—
247#2457C2212yes—
248#2457C2212yes—
249#2456C2212yes—
250#2456C2212yes—
251#2454C2211yescharacteristic
252#2450C2212yes—
253#2449C2212yes—
254#2448C2212yes—
255#2447C2212yes—
256#2446C2212yes—
257#2444C2212yes—
258#2438C2212yes—
259#2436C2212yes—
260#2432C2212yes—
261#2431C2212yes—
262#2431C2212yes—
263#2431C2212yes—
264#2431C2212yes—
265#2428C2212yes—
266#2427C2212yes—
267#2427C2212yes—
268#2425C2212yes—
269#2425C2212yes—
270#2425C2212yes—
271#2420C2211yescharacteristic
272#2409C2212yes—
273#2407C2211yescharacteristic
274#2407C2212yes—
275#2407C2212yes—
276#2401C2212yes—
277#2398C2212yes—
278#2397C2212yes—
279#2392C2212yes—
280#2392C2212yes—
281#2392C2212yes—
282#2388C2212yes—
283#2388C2212yes—
284#2388C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2372C2212yes—
291#2372C2212yes—
292#2372C2212yes—
293#2372C2212yes—
294#2372C2212yes—
295#2372C2212yes—
296#2372C2212yes—
297#2372C2212yes—
298#2372C2212yes—
299#2371C2212yes—
300#2371C2212yes—
301#2368C2212yes—
302#2367C2211yescharacteristic
303#2366C2212yes—
304#2366C2211yescharacteristic
305#2364C2212yes—
306#2364C2212yes—
307#2364C2212yes—
308#2364C2212yes—
309#2364C2212yes—
310#2364C2212yes—
311#2364C2212yes—
312#2364C2212yes—
313#2363C2211yescharacteristic
314#2363C2211yescharacteristic
315#2362C2211yescharacteristic
316#2361C2211yescharacteristic
317#2357C2212yes—
318#2356C2211yescharacteristic
319#2356C2212yes—
320#2355C2211yescharacteristic
321#2354C2211yescharacteristic
322#2353C2212yes—
323#2353C2212yes—
324#2353C2212yes—
325#2353C2212yes—
326#2353C2212yes—
327#2353C2212yes—
328#2353C2212yes—
329#2353C2212yes—
330#2352C2211yescharacteristic
331#2346C2211yescharacteristic
332#2346C2212yes—
333#2346C2212yes—
334#2343C2212yes—
335#2343C2212yes—
336Q8×C22⋊C4C2211yescharacteristic
337#2339C2211yescharacteristic
338#2339C2211yescharacteristic
339#2339C2211yescharacteristic
340#2339C2211yescharacteristic
341#2339C2212yes—
342#2339C2212yes—
343#2339C2212yes—
344#2337C2212yes—
345#2333C2212yes—
346#2333C2212yes—
347#2332C2212yes—
348#2331C2212yes—
349#2331C2212yes—
350#2329C2212yes—
351#2329C2212yes—
352#2328C2212yes—
353#2328C2212yes—
354#2328C2212yes—
355#2325C2212yes—
356#2325C2212yes—
357#2325C2212yes—
358#2319C2212yes—
359#2319C2212yes—
360#2318C2212yes—
361#2318C2212yes—
362C4×#127C2211yescharacteristic
363C4×#124C2211yescharacteristic
364C4×C22⋊Q8C2211yescharacteristic
365C4×#123C2212yes—
366C4×#123C2212yes—
367C4×#123C2212yes—
368C4×#123C2212yes—
369C4×#123C2212yes—
370C4×#121C2211yescharacteristic
371C4×#121C2211yescharacteristic
372C4×#121C2211yescharacteristic
373C4×#121C2211yescharacteristic
374C4×#121C2212yes—
375C4×#121C2212yes—
376C4×#121C2212yes—
377C4×#121C2212yes—
378#2297C2211yescharacteristic
379#2297C2211yescharacteristic
380#2297C2211yescharacteristic
381#2297C2211yescharacteristic
382#2295C2211yescharacteristic
383#2295C2211yescharacteristic
384C2×#391C2211yescharacteristic
385#2293C2211yescharacteristic
386#2290C2212yes—
387#2290C2212yes—
388#2283C2212yes—
389#2283C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2275C2212yes—
393C42×D4C2211yescharacteristic
394C2×#376C2212yes—
395C22×#41C2312yes—
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398C22×#41C2311yescharacteristic
399C22×#41C2311yescharacteristic
400C23×Q8C2311yescharacteristic
401#550—28no—
402#548—28no—
403#532—216no—
404C2×C4⋊Q8C2312yes—
405C2×#127C2311yescharacteristic
406C2×#127C2312yes—
407C2×#127C2312yes—
408C2×#127C2312yes—
409#529—216no—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#125C2312yes—
416C2×#125C2311yescharacteristic
417C2×#124C2312yes—
418C2×#124C2311yescharacteristic
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2311yescharacteristic
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C22×C4⋊C4C2311yescharacteristic
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513#401C2312yes—
514#401C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
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#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
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#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
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#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#392C2312yes—
644#392C2312yes—
645#392C2312yes—
646#392C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#391C2312yes—
670#391C2311yescharacteristic
671#391C2311yescharacteristic
672#391C2311yescharacteristic
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2311yescharacteristic
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2311yescharacteristic
709#390C2311yescharacteristic
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2311yescharacteristic
726#390C2311yescharacteristic
727#390C2311yescharacteristic
728#390C2311yescharacteristic
729#390C2312yes—
730#390C2311yescharacteristic
731#390C2311yescharacteristic
732#390C2311yescharacteristic
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2311yescharacteristic
742#389C2311yescharacteristic
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2311yescharacteristic
747#389C2311yescharacteristic
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
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#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#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#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
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#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#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
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#384C2311yescharacteristic
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2311yescharacteristic
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2311yescharacteristic
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#380C2311yescharacteristic
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2311yescharacteristic
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2311yescharacteristic
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2311yescharacteristic
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2311yescharacteristic
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2311yescharacteristic
1095C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121#376C2312yes—
1122#376C2312yes—
1123#376C2312yes—
1124#376C2312yes—
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—24no—
1148C2×#41—28no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—81no—
1152C2×#41—81no—
1153C2×#41—81no—
1154C2×#41—81no—
1155C2×#41—81no—
1156C2×#41—81no—
1157C2×#41—81no—
1158C2×#41—82no—
1159C2×#41—82no—
1160C2×#41#4118yescomplemented
1161C22×Q8—24no—
1162C22×Q8—81no—
1163C22×Q8—81no—
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2411yescharacteristic
1168C22×Q8C2412yes—
1169C22×Q8C2411yescharacteristic
1170C22×Q8C2411yescharacteristic
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2411yescharacteristic
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2411yescharacteristic
1178C22×D4C2411yescharacteristic
1179C22×D4C2411yescharacteristic
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C22×D4C2412yes—
1188C22×D4C2412yes—
1189C22×D4C2412yes—
1190C22×D4C2412yes—
1191C22×D4C2412yes—
1192C22×D4C2412yes—
1193C22×D4C2412yes—
1194C22×D4C2411yescharacteristic
1195C22×D4C2412yes—
1196C23×C4C2411yescharacteristic
1197C23×C4C2412yes—
1198C23×C4C2411yescharacteristic
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2411yescharacteristic
1202C23×C4C2411yescharacteristic
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2411yescharacteristic
1208C23×C4C2412yes—
1209C23×C4C2412yes—
1210C23×C4C2412yes—
1211C23×C4C2412yes—
1212C23×C4C2412yes—
1213C23×C4C2412yes—
1214C23×C4C2412yes—
1215C23×C4C2412yes—
1216C23×C4C2412yes—
1217C23×C4C2412yes—
1218C23×C4C2411yescharacteristic
1219C23×C4C2412yes—
1220C4⋊Q8—28no—
1221#127—28no—
1222#127—24no—
1223#127—28no—
1224#127—82no—
1225#126—28no—
1226#126—28no—
1227#126—44no—
1228#126—82no—
1229#126—82no—
1230#125—28no—
1231#125—81no—
1232#124—28no—
1233#124—28no—
1234#124—28no—
1235#124—28no—
1236#124—24no—
1237#124—44no—
1238#124—44no—
1239#124—82no—
1240#124—82no—
1241#124—82no—
1242#124—82no—
1243#123—28no—
1244#123—28no—
1245#123—44no—
1246#123—82no—
1247#123—82no—
1248#123—82no—
1249#123—82no—
1250#123—82no—
1251C22⋊Q8—28no—
1252C22⋊Q8—28no—
1253C22⋊Q8—24no—
1254C22⋊Q8—82no—
1255C22⋊Q8—81no—
1256C22⋊Q8—82no—
1257C22⋊Q8—82no—
1258C22⋊Q8—82no—
1259#121—28no—
1260#121—28no—
1261#121—28no—
1262#121—28no—
1263#121—24no—
1264#121—28no—
1265#121—28no—
1266#121—24no—
1267#121—28no—
1268#121—28no—
1269#121—24no—
1270#121—44no—
1271#121—42no—
1272#121—82no—
1273#121—82no—
1274#121—82no—
1275#121—82no—
1276#121—82no—
1277#121—82no—
1278C4×Q8—24no—
1279C4×Q8—81no—
1280C4×Q8—81no—
1281C4×Q8#4118yescomplemented
1282C4×D4—28no—
1283C4×D4—28no—
1284C4×D4—28no—
1285C4×D4—28no—
1286C4×D4—24no—
1287C4×D4—28no—
1288C4×D4—28no—
1289C4×D4—28no—
1290C4×D4—28no—
1291C4×D4—28no—
1292C4×D4—24no—
1293C4×D4—44no—
1294C4×D4—44no—
1295C4×D4—42no—
1296C4×D4—44no—
1297C4×D4—42no—
1298C4×D4—44no—
1299C4×D4—44no—
1300C4×D4—44no—
1301C4×D4—81no—
1302C4×D4—81no—
1303C4×D4—81no—
1304C4×D4—81no—
1305C4×D4—82no—
1306C4×D4—81no—
1307C4×D4—82no—
1308C4×D4—82no—
1309C4×D4—81no—
1310C4×D4—82no—
1311C4×D4—81no—
1312C4×D4—82no—
1313C4×D4—82no—
1314C4×D4—82no—
1315C4×D4—82no—
1316#117—28no—
1317#117—28no—
1318#117—42no—
1319#117—81no—
1320#117—81no—
1321#117—81no—
1322C2×C4⋊C4—81no—
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⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2411yescharacteristic
1392C2×C22⋊C4C2411yescharacteristic
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2411yescharacteristic
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×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⋊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×C42—28no—
1480C2×C42—28no—
1481C2×C42—44no—
1482C2×C42—81no—
1483C2×C42—81no—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2412yes—
1516C2×C42C2411yescharacteristic
1517C2×C42C2412yes—
1518C2×C42C2411yescharacteristic
1519C2×C42C2412yes—
1520C2×C42C2411yescharacteristic
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2411yescharacteristic
1524C2×C42C2412yes—
1525#95C2411yescharacteristic
1526#95C2412yes—
1527#95C2412yes—
1528#95C2411yescharacteristic
1529#95C2411yescharacteristic
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#95C2411yescharacteristic
1583#95C2411yescharacteristic
1584#95C2411yescharacteristic
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—
1627C24C2512yes—
1628C24C2512yes—
1629C24C2512yes—
1630C24C2511yescharacteristic
1631C24C2512yes—
1632C24C2511yescharacteristic
1633#41—88no—
1634#41—816no—
1635#41—88no—
1636#41—88no—
1637#41—88no—
1638C2×Q8—22no—
1639C2×Q8—24no—
1640C2×Q8—24no—
1641C2×Q8—22no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8—41no—
1645C2×Q8—41no—
1646C2×Q8—41no—
1647C2×Q8—41no—
1648C2×Q8—42no—
1649C2×Q8—41no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—41no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—88no—
1658C2×Q8C2×#4114yes—
1659C2×Q8C2×#4114yes—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—22no—
1663C2×D4—24no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—22no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—22no—
1676C2×D4—22no—
1677C2×D4—24no—
1678C2×D4—24no—
1679C2×D4—24no—
1680C2×D4—24no—
1681C2×D4—22no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—41no—
1685C2×D4—42no—
1686C2×D4—41no—
1687C2×D4—41no—
1688C2×D4—41no—
1689C2×D4—41no—
1690C2×D4—41no—
1691C2×D4—41no—
1692C2×D4—41no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—41no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4—42no—
1721C2×D4—42no—
1722C2×D4—42no—
1723C2×D4—42no—
1724C2×D4—42no—
1725C2×D4—42no—
1726C2×D4—42no—
1727C2×D4—42no—
1728C2×D4—42no—
1729C2×D4—42no—
1730C2×D4—42no—
1731C2×D4—42no—
1732C2×D4—42no—
1733C2×D4C2×#4114yes—
1734C2×D4C2×#4118yes—
1735C22×C4—24no—
1736C22×C4—24no—
1737C22×C4—24no—
1738C22×C4—22no—
1739C22×C4—22no—
1740C22×C4—22no—
1741C22×C4—22no—
1742C22×C4—22no—
1743C22×C4—24no—
1744C22×C4—24no—
1745C22×C4—24no—
1746C22×C4—24no—
1747C22×C4—24no—
1748C22×C4—24no—
1749C22×C4—24no—
1750C22×C4—24no—
1751C22×C4—24no—
1752C22×C4—24no—
1753C22×C4—22no—
1754C22×C4—24no—
1755C22×C4—42no—
1756C22×C4—41no—
1757C22×C4—41no—
1758C22×C4—41no—
1759C22×C4—41no—
1760C22×C4—41no—
1761C22×C4—41no—
1762C22×C4—41no—
1763C22×C4—41no—
1764C22×C4—41no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—41no—
1769C22×C4—42no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—41no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—42no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4—42no—
1785C22×C4—42no—
1786C22×C4—42no—
1787C22×C4—42no—
1788C22×C4—42no—
1789C22×C4—42no—
1790C22×C4—42no—
1791C22×C4—42no—
1792C22×C4—42no—
1793C22×C4—42no—
1794C22×C4—42no—
1795C22×C4—42no—
1796C22×C4—42no—
1797C22×C4—42no—
1798C22×C4—42no—
1799C22×C4—42no—
1800C22×C4—42no—
1801C22×C4—42no—
1802C22×C4—42no—
1803C22×C4—42no—
1804C22×C4—42no—
1805C22×C4C2×#4118yes—
1806C22×C4C2×#4114yes—
1807C22×C4C2512yes—
1808C22×C4C2511yescharacteristic
1809C22×C4C2512yes—
1810C22×C4C2512yes—
1811C22×C4C2512yes—
1812C22×C4C2511yescharacteristic
1813C22×C4C2511yescharacteristic
1814C22×C4C2512yes—
1815C22×C4C2511yescharacteristic
1816C22×C4C2512yes—
1817C22×C4C2511yescharacteristic
1818C22×C4C2512yes—
1819C22×C4C2512yes—
1820C22×C4C2512yes—
1821C22×C4C2512yes—
1822C22×C4C2512yes—
1823C22×C4C2512yes—
1824C22×C4C2512yes—
1825C22×C4C2511yescharacteristic
1826C22×C4C2512yes—
1827C22×C4C2512yes—
1828C22×C4C2512yes—
1829C22×C4C2512yes—
1830C22×C4C2511yescharacteristic
1831C22×C4C2511yescharacteristic
1832C22×C4C2512yes—
1833C22×C4C2512yes—
1834C22×C4C2511yescharacteristic
1835C22×C4C2512yes—
1836C22×C4C2511yescharacteristic
1837C22×C4C2511yescharacteristic
1838C22×C4C2511yescharacteristic
1839C22×C4C2511yescharacteristic
1840C4⋊C4—24no—
1841C4⋊C4—24no—
1842C4⋊C4—24no—
1843C4⋊C4—24no—
1844C4⋊C4—22no—
1845C4⋊C4—24no—
1846C4⋊C4—24no—
1847C4⋊C4—24no—
1848C4⋊C4—24no—
1849C4⋊C4—24no—
1850C4⋊C4—22no—
1851C4⋊C4—24no—
1852C4⋊C4—24no—
1853C4⋊C4—24no—
1854C4⋊C4—24no—
1855C4⋊C4—22no—
1856C4⋊C4—22no—
1857C4⋊C4—24no—
1858C4⋊C4—22no—
1859C4⋊C4—22no—
1860C4⋊C4—41no—
1861C4⋊C4—41no—
1862C4⋊C4—42no—
1863C4⋊C4—41no—
1864C4⋊C4—41no—
1865C4⋊C4—41no—
1866C4⋊C4—41no—
1867C4⋊C4—41no—
1868C4⋊C4—41no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—41no—
1873C4⋊C4—41no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—41no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—41no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4—42no—
1898C4⋊C4—42no—
1899C4⋊C4—42no—
1900C4⋊C4—42no—
1901C4⋊C4—42no—
1902C4⋊C4C2×#4118yes—
1903C4⋊C4C2×#4114yes—
1904C22⋊C4—22no—
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—22no—
1915C22⋊C4—22no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—22no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—24no—
1931C22⋊C4—24no—
1932C22⋊C4—22no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—24no—
1936C22⋊C4—24no—
1937C22⋊C4—24no—
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—41no—
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—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C22⋊C4—42no—
1991C22⋊C4—42no—
1992C22⋊C4—42no—
1993C22⋊C4—42no—
1994C22⋊C4—42no—
1995C22⋊C4—42no—
1996C42—24no—
1997C42—24no—
1998C42—24no—
1999C42—24no—
2000C42—24no—
2001C42—24no—
2002C42—24no—
2003C42—24no—
2004C42—22no—
2005C42—24no—
2006C42—24no—
2007C42—22no—
2008C42—42no—
2009C42—42no—
2010C42—41no—
2011C42—41no—
2012C42—41no—
2013C42—41no—
2014C42—41no—
2015C42—41no—
2016C42—41no—
2017C42—42no—
2018C42—42no—
2019C42—42no—
2020C42—41no—
2021C42—42no—
2022C42—42no—
2023C42—42no—
2024C42—41no—
2025C42—42no—
2026C42—42no—
2027C42—41no—
2028C42—42no—
2029C42—42no—
2030C42—42no—
2031C42—42no—
2032C42—42no—
2033C42—42no—
2034C42—42no—
2035C42C2×#4118yes—
2036C42C2×#4114yes—
2037C23—22no—
2038C23—21no—
2039C23—22no—
2040C23—21no—
2041C23—22no—
2042C23—21no—
2043C23—21no—
2044C23—22no—
2045C23—21no—
2046C23—22no—
2047C23—22no—
2048C23—21no—
2049C23—22no—
2050C23—22no—
2051C23—21no—
2052C23—22no—
2053C23—22no—
2054C23—22no—
2055C23—21no—
2056C23—22no—
2057C23—22no—
2058C23—22no—
2059C23—22no—
2060C23—22no—
2061C23—21no—
2062C23—21no—
2063C23—22no—
2064C23—22no—
2065C23—21no—
2066C23—22no—
2067C23—21no—
2068C23—22no—
2069C23—22no—
2070C23—22no—
2071C23—22no—
2072C23—22no—
2073C23—22no—
2074C23—22no—
2075C23—22no—
2076C23—21no—
2077C23C22×#4112yes—
2078C23C22×#4114yes—
2079C23C2611yescharacteristic
2080Q8—44no—
2081Q8—44no—
2082Q8—44no—
2083Q8—84no—
2084Q8—84no—
2085Q8—82no—
2086Q8—162no—
2087D4—44no—
2088D4—48no—
2089D4—48no—
2090D4—48no—
2091D4—48no—
2092D4—44no—
2093D4—44no—
2094D4—44no—
2095D4—44no—
2096D4—48no—
2097D4—48no—
2098D4—84no—
2099D4—84no—
2100D4—84no—
2101D4—84no—
2102D4—84no—
2103D4—84no—
2104D4—84no—
2105D4—84no—
2106D4—84no—
2107D4—84no—
2108D4—84no—
2109D4—84no—
2110D4—162no—
2111D4—162no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—21no—
2116C2×C4—21no—
2117C2×C4—21no—
2118C2×C4—21no—
2119C2×C4—21no—
2120C2×C4—21no—
2121C2×C4—21no—
2122C2×C4—21no—
2123C2×C4—21no—
2124C2×C4—21no—
2125C2×C4—21no—
2126C2×C4—22no—
2127C2×C4—21no—
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—22no—
2140C2×C4—21no—
2141C2×C4—21no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—21no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—21no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—21no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—21no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—21no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—21no—
2168C2×C4—22no—
2169C2×C4—21no—
2170C2×C4—21no—
2171C2×C4—21no—
2172C2×C4—22no—
2173C2×C4—22no—
2174C2×C4—22no—
2175C2×C4—21no—
2176C2×C4—21no—
2177C2×C4—21no—
2178C2×C4—22no—
2179C2×C4—22no—
2180C2×C4—21no—
2181C2×C4—22no—
2182C2×C4—22no—
2183C2×C4—22no—
2184C2×C4—22no—
2185C2×C4—22no—
2186C2×C4—22no—
2187C2×C4—21no—
2188C2×C4—22no—
2189C2×C4—22no—
2190C2×C4—22no—
2191C2×C4—22no—
2192C2×C4—22no—
2193C2×C4—22no—
2194C2×C4—22no—
2195C2×C4—22no—
2196C2×C4—22no—
2197C2×C4—22no—
2198C2×C4—22no—
2199C2×C4—22no—
2200C2×C4—21no—
2201C2×C4—44no—
2202C2×C4—48no—
2203C2×C4—44no—
2204C2×C4—48no—
2205C2×C4—44no—
2206C2×C4—44no—
2207C2×C4—44no—
2208C2×C4—84no—
2209C2×C4—84no—
2210C2×C4—84no—
2211C2×C4—84no—
2212C2×C4—84no—
2213C2×C4—82no—
2214C2×C4—84no—
2215C2×C4—84no—
2216C2×C4—84no—
2217C2×C4—84no—
2218C2×C4—84no—
2219C2×C4—84no—
2220C2×C4—84no—
2221C2×C4—84no—
2222C2×C4—162no—
2223C2×C4—162no—
2224C2×C4—162no—
2225C2×C4C22×#4112yes—
2226C2×C4C22×#4114yes—
2227C2×C4C22×#4112yes—
2228C2×C4C22×#4114yes—
2229C2×C4C22×#4114yes—
2230C2×C4C22×#4112yes—
2231C2×C4C22×#4112yes—
2232C2×C4C22×#4112yes—
2233C2×C4#58512yes—
2234C2×C4#58512yes—
2235C22—24no—
2236C22—22no—
2237C22—24no—
2238C22—22no—
2239C22—24no—
2240C22—22no—
2241C22—42no—
2242C22—41no—
2243C22—42no—
2244C22—41no—
2245C22—41no—
2246C22—42no—
2247C22—42no—
2248C22—41no—
2249C22—42no—
2250C22—41no—
2251C22—42no—
2252C22—42no—
2253C22—42no—
2254C22—42no—
2255C22—42no—
2256C22—41no—
2257C22—42no—
2258C22—42no—
2259C22—42no—
2260C22—41no—
2261C22—41no—
2262C22—42no—
2263C22—42no—
2264C22—42no—
2265C22—41no—
2266C22—42no—
2267C22—42no—
2268C22—42no—
2269C22—41no—
2270C22—42no—
2271C22—42no—
2272C22—42no—
2273C22—42no—
2274C22—42no—
2275C22—42no—
2276C22—41no—
2277C22C23×#4111yescharacteristic
2278C22C23×#4111yescharacteristic
2279C22C2×#58511yescharacteristic
2280C22C2×#58511yescharacteristic
2281C22H(7,𝔽2)11yescharacteristic
2282C22H(7,𝔽2)11yescharacteristic
2283C22H(7,𝔽2)11yescharacteristic
2284C4—22no—
2285C4—22no—
2286C4—22no—
2287C4—24no—
2288C4—22no—
2289C4—24no—
2290C4—22no—
2291C4—22no—
2292C4—24no—
2293C4—22no—
2294C4—42no—
2295C4—42no—
2296C4—41no—
2297C4—42no—
2298C4—42no—
2299C4—42no—
2300C4—42no—
2301C4—42no—
2302C4—42no—
2303C4—41no—
2304C4—42no—
2305C4—42no—
2306C4—41no—
2307C4—42no—
2308C4—42no—
2309C4—41no—
2310C4—41no—
2311C4—42no—
2312C4—42no—
2313C4—42no—
2314C4—41no—
2315C4—42no—
2316C4—42no—
2317C2—44no—
2318C2—42no—
2319C2—82no—
2320C2—81no—
2321C2—82no—
2322C2—82no—
2323C2#41211yescharacteristic
2324C2#6284411yescharacteristic
2325C2#6285511yescharacteristic
2326C2#6290611yescharacteristic
2327C2#6299411yescharacteristic
2328C2#6300611yescharacteristic
2329C2#6305111yescharacteristic
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. #60048C2semidirect
2. #60007C2semidirect
3. #59885C2semidirect
4. #59878C2semidirect
5. #59358C2semidirect
6. #59341C2semidirect
7. #52278C2semidirect
8. #52167C2semidirect
9. #52160C2semidirect
10. #44647C2semidirect
11. #44260C2semidirect
12. #44251C2semidirect
13. #44161C2semidirect
14. #44144C2semidirect
15. #43969C2semidirect
16. #43950C2semidirect
17. #43379C2semidirect
18. #43184C2semidirect
19. #40378C2semidirect
20. #40361C2semidirect
21. #39865C2semidirect
22. #39858C2semidirect
23. #39582C2semidirect
24. #39572C2semidirect
25. #38782C2semidirect
26. #38780C2semidirect
27. #38454C2semidirect
28. #38444C2semidirect
29. #38003C2semidirect
30. #37993C2semidirect
31. #36392C2semidirect
32. #36359C2semidirect
33. #35827C2semidirect
34. #35769C2semidirect
35. #35684C2semidirect
36. #34330C2semidirect
37. #34327C2semidirect
38. #34222C2semidirect
39. #34219C2semidirect
1160. C2×#41#41semidirect
1281. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600482
#600072
#598852
#598782
#593582
#593412
#522782
#521672
#521602
#446472
#442602
#442512
#441612
#441442
#439692
#439502
#433792
#431842
#403782
#403612
#398652
#398582
#395822
#395722
#387822
#387802
#384542
#384442
#380032
#379932
#363922
#363592
#358272
#357692
#356842
#343302
#343272
#342222
#342192