Finite Group Databasebeta

← #7895472

Subgroups — #7895472

Order 512.

4273 conjugacy classes of subgroups.

The subgroup lattice has 2149 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60047C211yesmaximal, characteristic, complemented
2#59877C212yesmaximal, complemented
3#52280C211yesmaximal, characteristic, complemented
4#52067C212yesmaximal, complemented
5#52067C212yesmaximal, complemented
6#52029C212yesmaximal, complemented
7#51944C212yesmaximal, complemented
8#50553C212yesmaximal, complemented
9#48732C212yesmaximal, complemented
10#47812C212yesmaximal, complemented
11#47325C212yesmaximal, complemented
12#46290C211yesmaximal, characteristic, complemented
13#46284C211yesmaximal, characteristic, complemented
14#45124C212yesmaximal, complemented
15#44307C212yesmaximal, complemented
16#43616C212yesmaximal, complemented
17#43454C212yesmaximal, complemented
18#43187C212yesmaximal, complemented
19#42385C212yesmaximal, complemented
20#42170C212yesmaximal, complemented
21#41755C212yesmaximal, complemented
22#41007C212yesmaximal, complemented
23#39838C211yesmaximal, characteristic, complemented
24#39509C211yesmaximal, characteristic, complemented
25#39323C212yesmaximal, complemented
26#38803C211yesmaximal, characteristic, complemented
27#38801C211yesmaximal, characteristic, complemented
28#38781C211yesmaximal, characteristic, complemented
29#38743C212yesmaximal, complemented
30#38617C212yesmaximal, complemented
31#38435C211yesmaximal, characteristic, complemented
32#37212C211yesmaximal, characteristic, complemented
33#37196C211yesmaximal, characteristic, complemented
34#36392C211yesmaximal, characteristic, complemented
35#35829C212yesmaximal, complemented
36#35495C212yesmaximal, complemented
37#35047C211yesmaximal, characteristic, complemented
38#34499C212yesmaximal, complemented
39#34324C211yesmaximal, characteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#556C2212yes—
42#2865C2212yes—
43#2863C2211yescharacteristic
44#2860C2211yescharacteristic
45#2859C2211yescharacteristic
46#2855C2211yescharacteristic
47#2854C2211yescharacteristic
48#2851C2211yescharacteristic
49#2851C2211yescharacteristic
50#2838C2212yes—
51#2829C2212yes—
52#2821C2212yes—
53#2819C2212yes—
54#2810C2211yescharacteristic
55#2810C2211yescharacteristic
56#2809C2211yescharacteristic
57#2809C2211yescharacteristic
58#2808C2212yes—
59#2808C2211yescharacteristic
60#2808C2212yes—
61#2808C2212yes—
62#2806C2211yescharacteristic
63#2806C2212yes—
64#2805C2212yes—
65#2805C2212yes—
66#2805C2212yes—
67#2803C2212yes—
68#2803C2212yes—
69#2803C2212yes—
70#2803C2212yes—
71#2802C2212yes—
72#2801C2212yes—
73#2800C2212yes—
74#2800C2212yes—
75#2797C2212yes—
76#2792C2212yes—
77#2791C2212yes—
78#2789C2212yes—
79#2789C2212yes—
80#2788C2212yes—
81#2788C2212yes—
82#2787C2212yes—
83#2783C2212yes—
84#2783C2212yes—
85#2781C2212yes—
86#2781C2212yes—
87#2781C2212yes—
88#2781C2212yes—
89#2781C2212yes—
90#2778C2212yes—
91#2778C2212yes—
92#2778C2212yes—
93#2776C2212yes—
94#2775C2212yes—
95#2775C2212yes—
96#2774C2212yes—
97#2773C2212yes—
98#2770C2212yes—
99#2768C2212yes—
100#2759C2212yes—
101#2759C2212yes—
102#2756C2212yes—
103#2756C2212yes—
104#2756C2212yes—
105#2754C2212yes—
106#2751C2212yes—
107#2751C2212yes—
108#2745C2212yes—
109#2745C2212yes—
110#2745C2212yes—
111#2745C2212yes—
112#2744C2212yes—
113#2744C2212yes—
114#2740C2212yes—
115#2740C2212yes—
116#2738C2212yes—
117#2734C2211yescharacteristic
118#2734C2211yescharacteristic
119#2733C2211yescharacteristic
120#2733C2212yes—
121#2731C2212yes—
122#2730C2212yes—
123#2730C2212yes—
124#2729C2212yes—
125#2729C2212yes—
126#2727C2212yes—
127#2727C2211yescharacteristic
128#2727C2211yescharacteristic
129#2727C2211yescharacteristic
130#2727C2212yes—
131#2726C2211yescharacteristic
132#2726C2212yes—
133#2726C2211yescharacteristic
134#2724C2211yescharacteristic
135#2715C2212yes—
136#2714C2212yes—
137#2713C2212yes—
138#2711C2212yes—
139#2708C2212yes—
140#2702C2212yes—
141#2702C2212yes—
142#2702C2212yes—
143#2694C2212yes—
144#2687C2212yes—
145#2686C2212yes—
146#2683C2211yescharacteristic
147#2674C2212yes—
148#2667C2212yes—
149#2666C2212yes—
150#2666C2212yes—
151#2662C2212yes—
152#2662C2212yes—
153#2661C2212yes—
154#2655C2212yes—
155#2654C2212yes—
156#2653C2212yes—
157#2652C2212yes—
158#2651C2212yes—
159#2649C2212yes—
160#2636C2212yes—
161#2632C2212yes—
162#2632C2212yes—
163#2632C2212yes—
164#2628C2212yes—
165#2612C2212yes—
166#2611C2212yes—
167#2611C2212yes—
168#2610C2212yes—
169#2610C2212yes—
170#2609C2212yes—
171#2606C2212yes—
172#2606C2212yes—
173#2604C2212yes—
174#2604C2212yes—
175#2602C2212yes—
176#2601C2212yes—
177#2601C2212yes—
178#2600C2212yes—
179#2600C2212yes—
180#2599C2212yes—
181#2599C2212yes—
182#2598C2212yes—
183#2596C2212yes—
184#2596C2212yes—
185#2596C2212yes—
186#2596C2212yes—
187#2596C2212yes—
188#2596C2212yes—
189#2596C2212yes—
190#2596C2212yes—
191#2595C2212yes—
192#2594C2212yes—
193#2594C2212yes—
194#2594C2212yes—
195#2594C2212yes—
196#2594C2212yes—
197#2594C2212yes—
198#2594C2212yes—
199#2593C2212yes—
200#2593C2212yes—
201#2593C2212yes—
202#2593C2212yes—
203#2592C2212yes—
204#2589C2212yes—
205#2588C2212yes—
206#2586C2212yes—
207#2581C2212yes—
208#2580C2212yes—
209#2578C2212yes—
210#2577C2212yes—
211#2577C2212yes—
212#2576C2212yes—
213#2576C2212yes—
214#2575C2212yes—
215#2574C2212yes—
216#2574C2212yes—
217#2564C2212yes—
218#2562C2212yes—
219#2558C2212yes—
220#2558C2212yes—
221#2556C2212yes—
222#2556C2212yes—
223#2554C2212yes—
224#2550C2212yes—
225#2533C2212yes—
226#2532C2212yes—
227#2532C2212yes—
228#2531C2212yes—
229#2530C2212yes—
230#2529C2212yes—
231#2529C2212yes—
232#2528C2212yes—
233#2528C2212yes—
234#2528C2212yes—
235#2527C2212yes—
236#2526C2212yes—
237#2525C2212yes—
238#2524C2212yes—
239#2524C2212yes—
240#2524C2212yes—
241#2520C2212yes—
242#2519C2212yes—
243#2519C2212yes—
244#2518C2212yes—
245#2516C2212yes—
246#2516C2212yes—
247#2514C2211yescharacteristic
248#2514C2212yes—
249#2514C2212yes—
250#2514C2212yes—
251#2509C2211yescharacteristic
252#2500C2211yescharacteristic
253#2498C2212yes—
254#2497C2212yes—
255#2497C2211yescharacteristic
256#2496C2212yes—
257#2495C2212yes—
258#2494C2212yes—
259#2493C2212yes—
260#2492C2212yes—
261#2489C2211yescharacteristic
262#2489C2212yes—
263#2485C2211yescharacteristic
264#2485C2211yescharacteristic
265#2485C2212yes—
266#2479C2212yes—
267#2479C2212yes—
268#2479C2212yes—
269#2479C2212yes—
270#2477C2212yes—
271#2477C2212yes—
272#2475C2212yes—
273#2475C2212yes—
274#2474C2212yes—
275#2474C2212yes—
276#2474C2212yes—
277#2474C2212yes—
278#2469C2212yes—
279#2469C2212yes—
280#2469C2212yes—
281#2469C2212yes—
282#2469C2212yes—
283#2469C2212yes—
284#2468C2212yes—
285#2468C2212yes—
286#2468C2212yes—
287#2468C2212yes—
288#2467C2212yes—
289#2467C2212yes—
290#2467C2212yes—
291#2465C2212yes—
292#2465C2212yes—
293#2465C2212yes—
294#2463C2212yes—
295#2462C2212yes—
296#2462C2212yes—
297#2462C2212yes—
298#2462C2212yes—
299#2461C2212yes—
300#2460C2212yes—
301#2460C2212yes—
302#2459C2212yes—
303#2458C2212yes—
304#2456C2212yes—
305#2455C2212yes—
306#2454C2211yescharacteristic
307#2454C2212yes—
308#2454C2211yescharacteristic
309#2450C2212yes—
310#2441C2211yescharacteristic
311#2432C2212yes—
312#2422C2211yescharacteristic
313#2420C2211yescharacteristic
314#2414C2211yescharacteristic
315#2407C2211yescharacteristic
316#2396C2212yes—
317#2396C2212yes—
318#2395C2212yes—
319#2392C2212yes—
320#2388C2212yes—
321#2383C2212yes—
322#2383C2212yes—
323#2378C2212yes—
324#2378C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2370C2212yes—
331#2370C2212yes—
332#2369C2212yes—
333#2367C2212yes—
334#2367C2212yes—
335#2367C2212yes—
336#2365C2211yescharacteristic
337#2365C2212yes—
338#2362C2211yescharacteristic
339#2362C2211yescharacteristic
340#2359C2212yes—
341#2355C2212yes—
342#2355C2212yes—
343#2354C2211yescharacteristic
344#2353C2212yes—
345#2353C2212yes—
346#2351C2212yes—
347Q8×C4⋊C4C2211yescharacteristic
348#2349C2212yes—
349#2346C2211yescharacteristic
350#2346C2211yescharacteristic
351#2346C2211yescharacteristic
352#2346C2212yes—
353#2343C2212yes—
354#2343C2212yes—
355#2339C2211yescharacteristic
356#2336C2212yes—
357#2335C2212yes—
358#2335C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2332C2212yes—
366#2329C2212yes—
367#2329C2212yes—
368#2327C2212yes—
369#2326C2212yes—
370#2326C2212yes—
371#2323C2212yes—
372#2320C2212yes—
373#2319C2212yes—
374#2314C2212yes—
375#2314C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×#125C2212yes—
378C4×#126C2212yes—
379C4×#124C2212yes—
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2211yescharacteristic
382C4×#121C2211yescharacteristic
383C4×#121C2211yescharacteristic
384#2297C2211yescharacteristic
385#2296C2211yescharacteristic
386#2296C2211yescharacteristic
387#2296C2211yescharacteristic
388#2295C2211yescharacteristic
389#2295C2212yes—
390#2295C2212yes—
391#2293C2211yescharacteristic
392#2293C2212yes—
393#2276C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396#556—28no—
397#556—216no—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2311yescharacteristic
415C2×#125C2311yescharacteristic
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C2×#117C2311yescharacteristic
462C2×#117C2311yescharacteristic
463C2×#117C2311yescharacteristic
464C2×#117C2311yescharacteristic
465C2×#117C2311yescharacteristic
466C2×#117C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469#401C2312yes—
470#401C2312yes—
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#401C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
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#398C2312yes—
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#396C2312yes—
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#396C2312yes—
588#396C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
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#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2311yescharacteristic
674#391C2312yes—
675#391C2312yes—
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2311yescharacteristic
691#390C2312yes—
692#390C2312yes—
693#390C2311yescharacteristic
694#390C2311yescharacteristic
695#390C2312yes—
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#390C2311yescharacteristic
700#390C2312yes—
701#390C2311yescharacteristic
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2311yescharacteristic
706#389C2311yescharacteristic
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2311yescharacteristic
723#389C2312yes—
724#389C2312yes—
725#389C2311yescharacteristic
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2311yescharacteristic
741#389C2311yescharacteristic
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2311yescharacteristic
746#389C2311yescharacteristic
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#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#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#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#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#384C2311yescharacteristic
1014#384C2312yes—
1015#384C2311yescharacteristic
1016#384C2311yescharacteristic
1017#383C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2311yescharacteristic
1035#382C2311yescharacteristic
1036#382C2312yes—
1037#382C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2311yescharacteristic
1063#380C2311yescharacteristic
1064#380C2311yescharacteristic
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2311yescharacteristic
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2311yescharacteristic
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—42no—
1145C2×#41—42no—
1146C2×#41—81no—
1147C22×Q8C2412yes—
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2412yes—
1152C22×Q8C2411yescharacteristic
1153C22×D4C2411yescharacteristic
1154C22×D4C2412yes—
1155C22×D4C2411yescharacteristic
1156C22×D4C2411yescharacteristic
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C23×C4C2411yescharacteristic
1163C23×C4C2411yescharacteristic
1164C23×C4C2411yescharacteristic
1165C23×C4C2411yescharacteristic
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2411yescharacteristic
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C4⋊Q8—28no—
1175C4⋊Q8—24no—
1176C4⋊Q8—44no—
1177#126—28no—
1178#126—28no—
1179#126—28no—
1180#126—28no—
1181#126—28no—
1182#126—28no—
1183#126—44no—
1184#126—44no—
1185#126—82no—
1186#125—44no—
1187#125—44no—
1188#125—44no—
1189#125—44no—
1190#125—81no—
1191#125—81no—
1192#124—28no—
1193#124—28no—
1194#124—28no—
1195#124—82no—
1196#124—82no—
1197#123—44no—
1198#123—44no—
1199#123—44no—
1200C22⋊Q8—24no—
1201C22⋊Q8—24no—
1202C22⋊Q8—28no—
1203C22⋊Q8—28no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—81no—
1207#121—42no—
1208#121—42no—
1209#121—81no—
1210C4×Q8—28no—
1211C4×Q8—28no—
1212C4×Q8—28no—
1213C4×Q8—44no—
1214C4×Q8—44no—
1215C4×Q8—81no—
1216C4×Q8—81no—
1217C4×Q8—82no—
1218C4×Q8—82no—
1219C4×Q8#4118yescomplemented
1220C4×D4—28no—
1221C4×D4—24no—
1222C4×D4—42no—
1223C4×D4—44no—
1224C4×D4—42no—
1225C4×D4—44no—
1226C4×D4—42no—
1227C4×D4—44no—
1228C4×D4—81no—
1229C4×D4—81no—
1230C4×D4—82no—
1231C4×D4—82no—
1232#117—24no—
1233#117—24no—
1234#117—28no—
1235#117—28no—
1236#117—42no—
1237#117—44no—
1238#117—42no—
1239#117—81no—
1240#117—82no—
1241#117—81no—
1242#117—81no—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2411yescharacteristic
1346C2×C22⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊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×C42—81no—
1411C2×C42—81no—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2411yescharacteristic
1442C2×C42C2411yescharacteristic
1443C2×C42C2412yes—
1444C2×C42C2411yescharacteristic
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457#95C2411yescharacteristic
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2411yescharacteristic
1466#95C2411yescharacteristic
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2411yescharacteristic
1488#95C2412yes—
1489#95C2411yescharacteristic
1490#95C2411yescharacteristic
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#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—
1573C24C2512yes—
1574C24C2512yes—
1575C24C2511yescharacteristic
1576C24C2511yescharacteristic
1577#41—88no—
1578C2×Q8—24no—
1579C2×Q8—24no—
1580C2×Q8—24no—
1581C2×Q8—22no—
1582C2×Q8—42no—
1583C2×Q8—42no—
1584C2×Q8—41no—
1585C2×Q8—42no—
1586C2×Q8—41no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—41no—
1590C2×Q8—42no—
1591C2×Q8—41no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—42no—
1595C2×Q8C2×#4114yes—
1596C2×D4—24no—
1597C2×D4—22no—
1598C2×D4—22no—
1599C2×D4—22no—
1600C2×D4—41no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—41no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—41no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—22no—
1632C22×C4—24no—
1633C22×C4—22no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4C2512yes—
1660C22×C4C2511yescharacteristic
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2511yescharacteristic
1670C22×C4C2511yescharacteristic
1671C22×C4C2511yescharacteristic
1672C22×C4C2511yescharacteristic
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2511yescharacteristic
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2511yescharacteristic
1690C22×C4C2511yescharacteristic
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2511yescharacteristic
1694C4⋊C4—24no—
1695C4⋊C4—22no—
1696C4⋊C4—22no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—22no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—22no—
1710C4⋊C4—22no—
1711C4⋊C4—22no—
1712C4⋊C4—22no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—22no—
1719C4⋊C4—22no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—41no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—41no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4C2×#4114yes—
1788C4⋊C4C2×#4118yes—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—22no—
1796C22⋊C4—22no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—22no—
1807C22⋊C4—24no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—41no—
1831C22⋊C4—41no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—41no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—22no—
1870C42—22no—
1871C42—41no—
1872C42—41no—
1873C42—41no—
1874C42—41no—
1875C42—41no—
1876C42—41no—
1877C42—41no—
1878C42—41no—
1879C42—41no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—41no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42C2×#4114yes—
1905C42C2×#4118yes—
1906C23—22no—
1907C23—22no—
1908C23—21no—
1909C23—21no—
1910C23—22no—
1911C23—22no—
1912C23—21no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—21no—
1917C23—21no—
1918C23—22no—
1919C23—21no—
1920C23—21no—
1921C23—22no—
1922C23—21no—
1923C23—21no—
1924C23—22no—
1925C23—22no—
1926C23—21no—
1927C23—21no—
1928C23—22no—
1929C23—21no—
1930C23—21no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23C2611yescharacteristic
1935Q8—44no—
1936Q8—48no—
1937Q8—48no—
1938Q8—84no—
1939Q8—82no—
1940Q8—162no—
1941D4—44no—
1942D4—48no—
1943D4—44no—
1944D4—82no—
1945D4—84no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—162no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—44no—
2048C2×C4—44no—
2049C2×C4—44no—
2050C2×C4—44no—
2051C2×C4—84no—
2052C2×C4—84no—
2053C2×C4—82no—
2054C2×C4—84no—
2055C2×C4—82no—
2056C2×C4—84no—
2057C2×C4—84no—
2058C2×C4—162no—
2059C2×C4C22×#4114yes—
2060C2×C4C22×#4112yes—
2061C2×C4C22×#4114yes—
2062C2×C4C22×#4112yes—
2063C2×C4C22×#4112yes—
2064C2×C4#58512yes—
2065C2×C4#58512yes—
2066C2×C4#58512yes—
2067C22—42no—
2068C22—42no—
2069C22—41no—
2070C22—41no—
2071C22—41no—
2072C22—41no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—41no—
2078C22—41no—
2079C22—41no—
2080C22—41no—
2081C22—42no—
2082C22—42no—
2083C22—41no—
2084C22—42no—
2085C22—41no—
2086C22—42no—
2087C22—41no—
2088C22—42no—
2089C22—41no—
2090C22—42no—
2091C22—41no—
2092C22—41no—
2093C22—42no—
2094C22—42no—
2095C22C23×#4111yescharacteristic
2096C22C2×#58511yescharacteristic
2097C22C2×#58511yescharacteristic
2098C22C2×#58511yescharacteristic
2099C22H(7,𝔽2)11yescharacteristic
2100C222−1+611yescharacteristic
2101C222−1+611yescharacteristic
2102C4—22no—
2103C4—24no—
2104C4—22no—
2105C4—22no—
2106C4—24no—
2107C4—22no—
2108C4—22no—
2109C4—22no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—41no—
2118C4—42no—
2119C4—41no—
2120C4—41no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—41no—
2125C4—42no—
2126C4—42no—
2127C4—41no—
2128C4—41no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—41no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C2—82no—
2138C2—82no—
2139C2—81no—
2140C2—81no—
2141C2#6279311yescharacteristic
2142C2#6284511yescharacteristic
2143C2#6286811yescharacteristic
2144C2#6290611yescharacteristic
2145C2#6293611yescharacteristic
2146C2#6300911yescharacteristic
2147C2#6305311yescharacteristic
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. #60047C2semidirect
2. #59877C2semidirect
3. #52280C2semidirect
4. #52067C2semidirect
5. #52067C2semidirect
6. #52029C2semidirect
7. #51944C2semidirect
8. #50553C2semidirect
9. #48732C2semidirect
10. #47812C2semidirect
11. #47325C2semidirect
12. #46290C2semidirect
13. #46284C2semidirect
14. #45124C2semidirect
15. #44307C2semidirect
16. #43616C2semidirect
17. #43454C2semidirect
18. #43187C2semidirect
19. #42385C2semidirect
20. #42170C2semidirect
21. #41755C2semidirect
22. #41007C2semidirect
23. #39838C2semidirect
24. #39509C2semidirect
25. #39323C2semidirect
26. #38803C2semidirect
27. #38801C2semidirect
28. #38781C2semidirect
29. #38743C2semidirect
30. #38617C2semidirect
31. #38435C2semidirect
32. #37212C2semidirect
33. #37196C2semidirect
34. #36392C2semidirect
35. #35829C2semidirect
36. #35495C2semidirect
37. #35047C2semidirect
38. #34499C2semidirect
39. #34324C2semidirect
1219. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600472
#598772
#522802
#520672
#520292
#519442
#505532
#487322
#478122
#473252
#462902
#462842
#451242
#443072
#436162
#434542
#431872
#423852
#421702
#417552
#410072
#398382
#395092
#393232
#388032
#388012
#387812
#387432
#386172
#384352
#372122
#371962
#363922
#358292
#354952
#350472
#344992
#343242