Finite Group Databasebeta

← #7893240

Subgroups — #7893240

Order 512.

4569 conjugacy classes of subgroups.

The subgroup lattice has 2295 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C211yesmaximal, characteristic, complemented
2#59786C212yesmaximal, complemented
3#52281C211yesmaximal, characteristic, complemented
4#52029C212yesmaximal, complemented
5#51915C212yesmaximal, complemented
6#50735C212yesmaximal, complemented
7#50479C212yesmaximal, complemented
8#48673C212yesmaximal, complemented
9#48157C212yesmaximal, complemented
10#47708C212yesmaximal, complemented
11#47255C212yesmaximal, complemented
12#46315C211yesmaximal, characteristic, complemented
13#46314C211yesmaximal, characteristic, complemented
14#44324C212yesmaximal, complemented
15#44271C212yesmaximal, complemented
16#44039C212yesmaximal, complemented
17#43339C212yesmaximal, complemented
18#43328C212yesmaximal, complemented
19#42885C212yesmaximal, complemented
20#41819C212yesmaximal, complemented
21#41126C212yesmaximal, complemented
22#41013C212yesmaximal, complemented
23#39827C212yesmaximal, complemented
24#39583C211yesmaximal, characteristic, complemented
25#39500C211yesmaximal, characteristic, complemented
26#38822C211yesmaximal, characteristic, complemented
27#38820C211yesmaximal, characteristic, complemented
28#38820C211yesmaximal, characteristic, complemented
29#38819C212yesmaximal, complemented
30#38434C211yesmaximal, characteristic, complemented
31#38286C212yesmaximal, complemented
32#37217C211yesmaximal, characteristic, complemented
33#37195C211yesmaximal, characteristic, complemented
34#36393C211yesmaximal, characteristic, complemented
35#35842C212yesmaximal, complemented
36#35485C212yesmaximal, complemented
37#35046C211yesmaximal, characteristic, complemented
38#34501C212yesmaximal, complemented
39#34330C211yesmaximal, characteristic, complemented
40C2×#552C2212yes—
41C2×#550C2211yescharacteristic
42#2863C2211yescharacteristic
43#2862C2211yescharacteristic
44#2860C2211yescharacteristic
45#2858C2212yes—
46#2855C2211yescharacteristic
47#2854C2211yescharacteristic
48#2850C2211yescharacteristic
49#2850C2211yescharacteristic
50#2830C2212yes—
51#2829C2212yes—
52#2818C2212yes—
53#2818C2212yes—
54#2811C2211yescharacteristic
55#2808C2212yes—
56#2808C2211yescharacteristic
57#2808C2211yescharacteristic
58#2808C2211yescharacteristic
59#2806C2211yescharacteristic
60#2806C2211yescharacteristic
61#2805C2211yescharacteristic
62#2803C2212yes—
63#2803C2212yes—
64#2803C2212yes—
65#2801C2212yes—
66#2800C2212yes—
67#2800C2212yes—
68#2799C2212yes—
69#2797C2212yes—
70#2797C2212yes—
71#2797C2212yes—
72#2787C2212yes—
73#2786C2212yes—
74#2781C2212yes—
75#2778C2212yes—
76#2778C2212yes—
77#2777C2212yes—
78#2774C2212yes—
79#2773C2212yes—
80#2770C2212yes—
81#2761C2212yes—
82#2756C2212yes—
83#2756C2212yes—
84#2755C2212yes—
85#2753C2212yes—
86#2752C2212yes—
87#2752C2212yes—
88#2751C2212yes—
89#2749C2212yes—
90#2746C2212yes—
91#2745C2212yes—
92#2741C2212yes—
93#2740C2212yes—
94#2738C2212yes—
95#2737C2212yes—
96#2737C2212yes—
97#2734C2212yes—
98#2733C2212yes—
99#2733C2211yescharacteristic
100#2733C2212yes—
101#2733C2211yescharacteristic
102#2733C2211yescharacteristic
103#2732C2211yescharacteristic
104#2732C2211yescharacteristic
105#2731C2212yes—
106#2730C2212yes—
107#2730C2212yes—
108#2728C2212yes—
109#2727C2212yes—
110#2727C2211yescharacteristic
111#2726C2211yescharacteristic
112#2723C2212yes—
113#2716C2212yes—
114#2715C2212yes—
115#2714C2212yes—
116#2714C2212yes—
117#2713C2212yes—
118#2713C2212yes—
119#2711C2212yes—
120#2711C2212yes—
121#2711C2212yes—
122#2711C2212yes—
123#2710C2212yes—
124#2710C2212yes—
125#2709C2212yes—
126#2707C2212yes—
127#2705C2212yes—
128#2703C2212yes—
129#2703C2212yes—
130#2699C2212yes—
131#2699C2212yes—
132#2691C2212yes—
133#2691C2212yes—
134#2688C2212yes—
135#2686C2212yes—
136#2686C2212yes—
137#2686C2212yes—
138#2682C2211yescharacteristic
139#2682C2211yescharacteristic
140#2673C2212yes—
141#2673C2212yes—
142#2673C2212yes—
143#2673C2212yes—
144#2673C2212yes—
145#2672C2212yes—
146#2672C2212yes—
147#2671C2212yes—
148#2666C2212yes—
149#2664C2212yes—
150#2662C2212yes—
151#2662C2212yes—
152#2662C2212yes—
153#2661C2212yes—
154#2653C2212yes—
155#2648C2212yes—
156#2648C2212yes—
157#2641C2212yes—
158#2641C2212yes—
159#2638C2212yes—
160#2636C2212yes—
161#2636C2212yes—
162#2635C2212yes—
163#2619C2212yes—
164#2619C2212yes—
165#2612C2212yes—
166#2611C2212yes—
167#2610C2212yes—
168#2609C2212yes—
169#2605C2212yes—
170#2605C2212yes—
171#2604C2212yes—
172#2603C2212yes—
173#2602C2212yes—
174#2602C2212yes—
175#2602C2212yes—
176#2601C2212yes—
177#2601C2212yes—
178#2601C2212yes—
179#2600C2212yes—
180#2598C2212yes—
181#2598C2212yes—
182#2597C2212yes—
183#2596C2212yes—
184#2596C2212yes—
185#2596C2212yes—
186#2595C2212yes—
187#2595C2212yes—
188#2595C2212yes—
189#2594C2212yes—
190#2594C2212yes—
191#2593C2212yes—
192#2593C2212yes—
193#2589C2212yes—
194#2578C2212yes—
195#2576C2212yes—
196#2576C2212yes—
197#2576C2212yes—
198#2574C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2562C2212yes—
202#2560C2212yes—
203#2560C2212yes—
204#2560C2212yes—
205#2559C2212yes—
206#2559C2212yes—
207#2559C2212yes—
208#2558C2212yes—
209#2557C2212yes—
210#2557C2212yes—
211#2555C2212yes—
212#2555C2212yes—
213#2555C2212yes—
214#2555C2212yes—
215#2555C2212yes—
216#2555C2212yes—
217#2554C2212yes—
218#2554C2212yes—
219#2554C2212yes—
220#2553C2212yes—
221#2550C2212yes—
222#2544C2212yes—
223#2541C2212yes—
224#2535C2212yes—
225#2531C2212yes—
226#2527C2212yes—
227#2527C2212yes—
228#2526C2212yes—
229#2525C2212yes—
230#2522C2212yes—
231#2522C2212yes—
232#2521C2212yes—
233#2521C2212yes—
234#2521C2212yes—
235#2521C2212yes—
236#2519C2212yes—
237#2518C2212yes—
238#2518C2212yes—
239#2516C2212yes—
240#2516C2212yes—
241#2514C2212yes—
242#2514C2211yescharacteristic
243#2510C2212yes—
244#2510C2212yes—
245#2509C2211yescharacteristic
246#2495C2211yescharacteristic
247#2493C2212yes—
248#2493C2212yes—
249#2491C2212yes—
250#2491C2212yes—
251#2491C2212yes—
252#2491C2211yescharacteristic
253#2490C2212yes—
254#2479C2212yes—
255#2479C2212yes—
256#2476C2212yes—
257#2476C2212yes—
258#2476C2212yes—
259#2475C2212yes—
260#2474C2212yes—
261#2474C2212yes—
262#2474C2212yes—
263#2473C2212yes—
264#2471C2212yes—
265#2471C2212yes—
266#2468C2212yes—
267#2468C2212yes—
268#2467C2212yes—
269#2466C2212yes—
270#2466C2212yes—
271#2466C2212yes—
272#2464C2212yes—
273#2461C2212yes—
274#2459C2212yes—
275#2459C2212yes—
276#2459C2212yes—
277#2459C2212yes—
278#2459C2212yes—
279#2459C2212yes—
280#2459C2212yes—
281#2459C2212yes—
282#2459C2212yes—
283#2459C2212yes—
284#2457C2212yes—
285#2456C2212yes—
286#2455C2212yes—
287#2448C2211yescharacteristic
288#2448C2211yescharacteristic
289#2447C2212yes—
290#2444C2212yes—
291#2444C2212yes—
292#2444C2212yes—
293#2443C2212yes—
294#2439C2211yescharacteristic
295#2432C2211yescharacteristic
296#2431C2212yes—
297#2430C2212yes—
298#2429C2211yescharacteristic
299#2428C2212yes—
300#2428C2212yes—
301#2427C2211yescharacteristic
302#2419C2212yes—
303#2416C2212yes—
304#2416C2212yes—
305#2415C2211yescharacteristic
306#2415C2211yescharacteristic
307#2414C2212yes—
308#2414C2212yes—
309#2414C2211yescharacteristic
310#2414C2212yes—
311#2407C2212yes—
312#2407C2212yes—
313#2407C2212yes—
314#2407C2212yes—
315#2407C2211yescharacteristic
316#2397C2212yes—
317#2396C2212yes—
318#2395C2212yes—
319#2395C2212yes—
320#2395C2212yes—
321#2383C2212yes—
322#2382C2212yes—
323#2378C2212yes—
324#2376C2212yes—
325#2374C2212yes—
326#2374C2212yes—
327#2373C2212yes—
328#2371C2212yes—
329#2370C2212yes—
330#2368C2212yes—
331#2367C2212yes—
332#2367C2212yes—
333#2366C2212yes—
334#2366C2211yescharacteristic
335#2364C2212yes—
336#2364C2212yes—
337#2364C2212yes—
338#2363C2212yes—
339#2363C2211yescharacteristic
340#2363C2211yescharacteristic
341#2363C2211yescharacteristic
342#2362C2211yescharacteristic
343#2359C2212yes—
344#2359C2212yes—
345#2357C2212yes—
346#2357C2212yes—
347#2357C2212yes—
348#2355C2211yescharacteristic
349#2354C2211yescharacteristic
350#2347C2212yes—
351#2346C2212yes—
352#2345C2212yes—
353#2343C2212yes—
354#2339C2211yescharacteristic
355#2339C2211yescharacteristic
356#2337C2212yes—
357#2337C2212yes—
358#2337C2212yes—
359#2336C2212yes—
360#2336C2212yes—
361#2335C2212yes—
362#2335C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2333C2212yes—
366#2333C2212yes—
367#2332C2212yes—
368#2332C2212yes—
369#2328C2212yes—
370#2324C2212yes—
371#2320C2212yes—
372#2319C2212yes—
373#2318C2212yes—
374#2314C2212yes—
375#2313C2212yes—
376C4×#127C2211yescharacteristic
377C4×#125C2212yes—
378C4×#126C2212yes—
379C4×#126C2212yes—
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2211yescharacteristic
382C4×#121C2211yescharacteristic
383C4×#121C2211yescharacteristic
384#2298C2212yes—
385#2298C2212yes—
386#2297C2211yescharacteristic
387#2297C2211yescharacteristic
388#2297C2211yescharacteristic
389#2296C2211yescharacteristic
390#2295C2211yescharacteristic
391#2293C2211yescharacteristic
392#2293C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398#552—216no—
399#550—28no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2311yescharacteristic
403C2×#127C2311yescharacteristic
404C2×#127C2312yes—
405C2×#127C2312yes—
406C2×#127C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2311yescharacteristic
425C2×#124C2311yescharacteristic
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2311yescharacteristic
444C2×C22⋊Q8C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2311yescharacteristic
454C2×#121C2311yescharacteristic
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501#401C2312yes—
502#401C2312yes—
503#401C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
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#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
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#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2311yescharacteristic
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2312yes—
725#390C2311yescharacteristic
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2311yescharacteristic
735#390C2311yescharacteristic
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2311yescharacteristic
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2311yescharacteristic
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2311yescharacteristic
776#389C2312yes—
777#389C2312yes—
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2311yescharacteristic
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#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#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#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#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#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#384C2311yescharacteristic
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2311yescharacteristic
1065#380C2311yescharacteristic
1066#380C2311yescharacteristic
1067#380C2311yescharacteristic
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2311yescharacteristic
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2311yescharacteristic
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—24no—
1145C2×#41—24no—
1146C2×#41—42no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C2×#41—81no—
1150C2×#41—81no—
1151C2×#41—81no—
1152C2×#41—81no—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×D4C2412yes—
1160C22×D4C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2411yescharacteristic
1163C22×D4C2411yescharacteristic
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C23×C4C2411yescharacteristic
1192C23×C4C2411yescharacteristic
1193C23×C4C2411yescharacteristic
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2411yescharacteristic
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C4⋊Q8—82no—
1203C4⋊Q8—81no—
1204C4⋊Q8—81no—
1205#127—24no—
1206#127—28no—
1207#127—82no—
1208#127—82no—
1209#126—28no—
1210#126—28no—
1211#126—44no—
1212#126—44no—
1213#126—82no—
1214#126—82no—
1215#126—82no—
1216#126—82no—
1217#125—28no—
1218#125—28no—
1219#125—28no—
1220#125—82no—
1221#124—44no—
1222#124—44no—
1223#124—44no—
1224#124—44no—
1225#124—44no—
1226#124—81no—
1227#124—81no—
1228#124—82no—
1229#124—82no—
1230#124—82no—
1231#124—82no—
1232#124—82no—
1233#123—28no—
1234#123—28no—
1235#123—44no—
1236#123—44no—
1237#123—44no—
1238#123—82no—
1239#123—82no—
1240C22⋊Q8—28no—
1241C22⋊Q8—28no—
1242C22⋊Q8—42no—
1243C22⋊Q8—42no—
1244C22⋊Q8—42no—
1245C22⋊Q8—81no—
1246C22⋊Q8—81no—
1247#121—28no—
1248#121—28no—
1249#121—24no—
1250#121—24no—
1251#121—42no—
1252#121—44no—
1253#121—44no—
1254#121—44no—
1255#121—82no—
1256#121—82no—
1257#121—82no—
1258#121—82no—
1259#121—81no—
1260#121—82no—
1261#121—82no—
1262#121—82no—
1263#121—82no—
1264#121—82no—
1265#121—81no—
1266#121—82no—
1267C4×Q8—81no—
1268C4×Q8—81no—
1269C4×Q8#4118yescomplemented
1270C4×D4—24no—
1271C4×D4—28no—
1272C4×D4—28no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—42no—
1276C4×D4—42no—
1277C4×D4—44no—
1278C4×D4—44no—
1279C4×D4—42no—
1280C4×D4—44no—
1281C4×D4—81no—
1282C4×D4—81no—
1283C4×D4—82no—
1284C4×D4—82no—
1285C4×D4—82no—
1286C4×D4—81no—
1287C4×D4—81no—
1288C4×D4—82no—
1289C4×D4—82no—
1290#117—28no—
1291#117—28no—
1292#117—28no—
1293#117—42no—
1294#117—81no—
1295#117—81no—
1296#117—82no—
1297#117—82no—
1298#117—81no—
1299#117—81no—
1300C2×C4⋊C4—28no—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
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⋊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⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2411yescharacteristic
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2411yescharacteristic
1417C2×C22⋊C4C2411yescharacteristic
1418C2×C22⋊C4C2411yescharacteristic
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⋊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×C42—81no—
1473C2×C42—81no—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2412yes—
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2411yescharacteristic
1512C2×C42C2412yes—
1513#95C2412yes—
1514#95C2411yescharacteristic
1515#95C2411yescharacteristic
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2411yescharacteristic
1538#95C2411yescharacteristic
1539#95C2412yes—
1540#95C2411yescharacteristic
1541#95C2412yes—
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609C24C2512yes—
1610C24C2512yes—
1611C24C2512yes—
1612C24C2512yes—
1613C24C2511yescharacteristic
1614C24C2511yescharacteristic
1615#41—88no—
1616#41—88no—
1617#41—88no—
1618C2×Q8—22no—
1619C2×Q8—22no—
1620C2×Q8—22no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—41no—
1628C2×Q8—41no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8C2×#4114yes—
1636C2×D4—22no—
1637C2×D4—24no—
1638C2×D4—22no—
1639C2×D4—22no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—22no—
1647C2×D4—22no—
1648C2×D4—42no—
1649C2×D4—41no—
1650C2×D4—42no—
1651C2×D4—41no—
1652C2×D4—41no—
1653C2×D4—41no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—41no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—41no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—41no—
1687C2×D4—42no—
1688C2×D4—42no—
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×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—
1711C22×C4—22no—
1712C22×C4—22no—
1713C22×C4—22no—
1714C22×C4—22no—
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—24no—
1724C22×C4—22no—
1725C22×C4—41no—
1726C22×C4—41no—
1727C22×C4—41no—
1728C22×C4—41no—
1729C22×C4—41no—
1730C22×C4—41no—
1731C22×C4—41no—
1732C22×C4—41no—
1733C22×C4—41no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
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—41no—
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×C4C2511yescharacteristic
1766C22×C4C2511yescharacteristic
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2511yescharacteristic
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2511yescharacteristic
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2511yescharacteristic
1792C22×C4C2512yes—
1793C22×C4C2511yescharacteristic
1794C22×C4C2511yescharacteristic
1795C22×C4C2511yescharacteristic
1796C22×C4C2511yescharacteristic
1797C22×C4C2511yescharacteristic
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—22no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—22no—
1813C4⋊C4—22no—
1814C4⋊C4—22no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—22no—
1819C4⋊C4—41no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—41no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—42no—
1833C4⋊C4—41no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—41no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—41no—
1849C4⋊C4—41no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4C2×#4118yes—
1870C4⋊C4C2×#4114yes—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—22no—
1877C22⋊C4—22no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—22no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—41no—
1904C22⋊C4—41no—
1905C22⋊C4—42no—
1906C22⋊C4—41no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
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—42no—
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—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C42—24no—
1970C42—24no—
1971C42—22no—
1972C42—22no—
1973C42—24no—
1974C42—41no—
1975C42—41no—
1976C42—41no—
1977C42—41no—
1978C42—41no—
1979C42—41no—
1980C42—41no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—41no—
1990C42—42no—
1991C42—42no—
1992C42—41no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—42no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—41no—
2006C42C2×#4114yes—
2007C42C2×#4118yes—
2008C23—22no—
2009C23—22no—
2010C23—21no—
2011C23—21no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—22no—
2017C23—21no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—22no—
2023C23—22no—
2024C23—21no—
2025C23—21no—
2026C23—21no—
2027C23—21no—
2028C23—21no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—21no—
2035C23—21no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—21no—
2044C23—21no—
2045C23—22no—
2046C23—21no—
2047C23—21no—
2048C23—22no—
2049C23—22no—
2050C23C2611yescharacteristic
2051Q8—44no—
2052Q8—82no—
2053Q8—82no—
2054Q8—82no—
2055Q8—162no—
2056Q8—162no—
2057D4—48no—
2058D4—44no—
2059D4—44no—
2060D4—44no—
2061D4—84no—
2062D4—84no—
2063D4—84no—
2064D4—84no—
2065D4—82no—
2066D4—84no—
2067D4—84no—
2068D4—82no—
2069D4—84no—
2070D4—84no—
2071D4—84no—
2072D4—84no—
2073D4—84no—
2074D4—84no—
2075D4—162no—
2076D4—162no—
2077D4—162no—
2078D4—162no—
2079D4—162no—
2080D4—162no—
2081D4—162no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—22no—
2115C2×C4—21no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—22no—
2133C2×C4—21no—
2134C2×C4—22no—
2135C2×C4—21no—
2136C2×C4—21no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—21no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—21no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—22no—
2154C2×C4—21no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—21no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—21no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—22no—
2172C2×C4—22no—
2173C2×C4—44no—
2174C2×C4—44no—
2175C2×C4—44no—
2176C2×C4—44no—
2177C2×C4—84no—
2178C2×C4—84no—
2179C2×C4—84no—
2180C2×C4—84no—
2181C2×C4—82no—
2182C2×C4—84no—
2183C2×C4—82no—
2184C2×C4—84no—
2185C2×C4—84no—
2186C2×C4—84no—
2187C2×C4—84no—
2188C2×C4—162no—
2189C2×C4—162no—
2190C2×C4—162no—
2191C2×C4C22×#4112yes—
2192C2×C4C22×#4114yes—
2193C2×C4C22×#4112yes—
2194C2×C4C22×#4112yes—
2195C2×C4C22×#4114yes—
2196C2×C4#58512yes—
2197C2×C4#58512yes—
2198C2×C4#58512yes—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—41no—
2203C22—41no—
2204C22—42no—
2205C22—42no—
2206C22—42no—
2207C22—41no—
2208C22—41no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—41no—
2215C22—41no—
2216C22—42no—
2217C22—41no—
2218C22—41no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—41no—
2224C22—42no—
2225C22—41no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22—41no—
2230C22—42no—
2231C22—41no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—42no—
2236C22—42no—
2237C22—42no—
2238C22—42no—
2239C22—41no—
2240C22—41no—
2241C22C23×#4111yescharacteristic
2242C22C2×#58511yescharacteristic
2243C22C2×#58511yescharacteristic
2244C22C2×#58511yescharacteristic
2245C22H(7,𝔽2)11yescharacteristic
2246C22H(7,𝔽2)11yescharacteristic
2247C22H(7,𝔽2)11yescharacteristic
2248C4—22no—
2249C4—24no—
2250C4—22no—
2251C4—22no—
2252C4—24no—
2253C4—22no—
2254C4—22no—
2255C4—22no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C4—42no—
2261C4—42no—
2262C4—42no—
2263C4—42no—
2264C4—41no—
2265C4—41no—
2266C4—41no—
2267C4—42no—
2268C4—42no—
2269C4—41no—
2270C4—41no—
2271C4—42no—
2272C4—42no—
2273C4—42no—
2274C4—41no—
2275C4—42no—
2276C4—42no—
2277C4—42no—
2278C4—42no—
2279C4—42no—
2280C4—41no—
2281C2—82no—
2282C2—82no—
2283C2—81no—
2284C2—81no—
2285C2—82no—
2286C2—82no—
2287C2#6279311yescharacteristic
2288C2#6285511yescharacteristic
2289C2#6286711yescharacteristic
2290C2#6296311yescharacteristic
2291C2#6296911yescharacteristic
2292C2#6299411yescharacteristic
2293C2#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. #59786C2semidirect
3. #52281C2semidirect
4. #52029C2semidirect
5. #51915C2semidirect
6. #50735C2semidirect
7. #50479C2semidirect
8. #48673C2semidirect
9. #48157C2semidirect
10. #47708C2semidirect
11. #47255C2semidirect
12. #46315C2semidirect
13. #46314C2semidirect
14. #44324C2semidirect
15. #44271C2semidirect
16. #44039C2semidirect
17. #43339C2semidirect
18. #43328C2semidirect
19. #42885C2semidirect
20. #41819C2semidirect
21. #41126C2semidirect
22. #41013C2semidirect
23. #39827C2semidirect
24. #39583C2semidirect
25. #39500C2semidirect
26. #38822C2semidirect
27. #38820C2semidirect
28. #38820C2semidirect
29. #38819C2semidirect
30. #38434C2semidirect
31. #38286C2semidirect
32. #37217C2semidirect
33. #37195C2semidirect
34. #36393C2semidirect
35. #35842C2semidirect
36. #35485C2semidirect
37. #35046C2semidirect
38. #34501C2semidirect
39. #34330C2semidirect
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
#597862
#522812
#520292
#519152
#507352
#504792
#486732
#481572
#477082
#472552
#463152
#463142
#443242
#442712
#440392
#433392
#433282
#428852
#418192
#411262
#410132
#398272
#395832
#395002
#388222
#388202
#388192
#384342
#382862
#372172
#371952
#363932
#358422
#354852
#350462
#345012
#343302