Finite Group Databasebeta

← #9243694

Subgroups — #9243694

Order 512.

3927 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59243C211yesmaximal, characteristic, complemented
2#58782C212yesmaximal, complemented
3#58679C212yesmaximal, complemented
4#58667C212yesmaximal, complemented
5#57751C212yesmaximal, complemented
6#56964C212yesmaximal, complemented
7#56759C212yesmaximal, complemented
8#56710C212yesmaximal, complemented
9#56519C212yesmaximal
10#55546C212yesmaximal, complemented
11#54779C212yesmaximal, complemented
12#54084C212yesmaximal, complemented
13#53571C212yesmaximal, complemented
14#52870C212yesmaximal, complemented
15#52026C212yesmaximal, complemented
16#51701C212yesmaximal, complemented
17#51625C212yesmaximal, complemented
18#51517C212yesmaximal, complemented
19#50565C212yesmaximal, complemented
20#48961C212yesmaximal, complemented
21#48052C212yesmaximal, complemented
22#47925C212yesmaximal, complemented
23#47054C212yesmaximal, complemented
24#46770C212yesmaximal, complemented
25#45794C211yesmaximal, characteristic, complemented
26#44049C212yesmaximal, complemented
27#42381C212yesmaximal, complemented
28#42038C212yesmaximal, complemented
29#41671C212yesmaximal, complemented
30#40630C212yesmaximal, complemented
31#39609C211yesmaximal, characteristic, complemented
32#39581C211yesmaximal, characteristic, complemented
33#39499C211yesmaximal, characteristic
34#37876C211yesmaximal, characteristic, complemented
35#37460C211yesmaximal, characteristic, complemented
36#2857C2211yescharacteristic
37#2855C2211yescharacteristic
38#2843C2212yescomplemented
39#2841C2212yes—
40#2839C2212yescomplemented
41#2838C2212yes—
42#2838C2212yescomplemented
43#2836C2212yes—
44#2832C2212yes—
45#2832C2212yes—
46#2831C2212yes—
47#2831C2212yes—
48#2831C2212yescomplemented
49#2831C2212yescomplemented
50#2831C2212yescomplemented
51#2831C2212yescomplemented
52#2830C2212yes—
53#2827C2212yes—
54#2827C2212yes—
55#2822C2212yescomplemented
56#2814C2212yes—
57#2810C2212yescomplemented
58#2809C2211yescharacteristic, complemented
59#2809C2211yescharacteristic, complemented
60#2808C2212yes—
61#2806C2212yescomplemented
62#2806C2211yescharacteristic, complemented
63#2805C2212yescomplemented
64#2805C2211yescharacteristic, complemented
65#2804C2212yes—
66#2804C2211yescharacteristic, complemented
67#2803C2212yes—
68#2802C2212yescomplemented
69#2802C2212yescomplemented
70#2802C2212yescomplemented
71#2799C2212yescomplemented
72#2798C2212yes—
73#2798C2212yes—
74#2796C2212yes—
75#2795C2212yes—
76#2794C2212yescomplemented
77#2793C2212yes—
78#2791C2212yescomplemented
79#2790C2212yes—
80#2790C2212yes—
81#2788C2212yescomplemented
82#2788C2212yescomplemented
83#2787C2212yes—
84#2786C2212yes—
85#2786C2212yes—
86#2784C2212yes—
87#2783C2212yes—
88#2783C2212yes—
89#2783C2212yescomplemented
90#2783C2212yescomplemented
91#2781C2212yes—
92#2781C2212yes—
93#2780C2212yes—
94#2779C2212yes—
95#2779C2212yes—
96#2779C2212yes—
97#2775C2212yescomplemented
98#2774C2212yescomplemented
99#2774C2212yescomplemented
100#2774C2212yescomplemented
101#2774C2212yescomplemented
102#2773C2212yes—
103#2773C2212yes—
104#2772C2212yes—
105#2772C2212yes—
106#2772C2212yescomplemented
107#2770C2212yes—
108#2769C2212yescomplemented
109#2768C2212yes—
110#2768C2212yes—
111#2768C2212yescomplemented
112#2768C2212yescomplemented
113#2767C2212yescomplemented
114#2767C2212yescomplemented
115#2766C2212yescomplemented
116#2766C2212yescomplemented
117#2764C2212yes—
118#2763C2212yes—
119#2763C2212yes—
120#2763C2212yes—
121#2762C2212yescomplemented
122#2762C2212yescomplemented
123#2761C2212yes—
124#2759C2212yes—
125#2759C2212yes—
126#2758C2212yescomplemented
127#2757C2212yes—
128#2755C2212yescomplemented
129#2754C2212yes—
130#2754C2212yescomplemented
131#2751C2212yescomplemented
132#2748C2212yes—
133#2747C2212yes—
134#2747C2212yescomplemented
135#2745C2212yes—
136#2745C2212yes—
137#2744C2212yescomplemented
138#2742C2212yes—
139#2742C2212yes—
140#2741C2212yes—
141#2739C2212yes—
142#2739C2212yescomplemented
143#2738C2212yes—
144#2736C2212yes—
145#2736C2212yes—
146#2734C2212yescomplemented
147#2734C2211yescharacteristic, complemented
148#2731C2212yes—
149#2731C2212yes—
150#2731C2212yes—
151#2729C2212yescomplemented
152#2726C2211yescharacteristic, complemented
153#2724C2212yes—
154#2724C2211yescharacteristic, complemented
155#2723C2212yescomplemented
156#2720C2212yes—
157#2719C2212yescomplemented
158#2719C2212yescomplemented
159#2719C2212yescomplemented
160#2718C2212yes—
161#2716C2212yes—
162#2716C2212yes—
163#2716C2212yes—
164#2716C2212yescomplemented
165#2715C2212yes—
166#2715C2212yes—
167#2713C2212yescomplemented
168#2708C2212yes—
169#2707C2212yes—
170#2707C2212yescomplemented
171#2705C2212yes—
172#2705C2212yes—
173#2704C2212yes—
174#2704C2212yescomplemented
175#2702C2212yes—
176#2698C2212yescomplemented
177#2696C2212yes—
178#2695C2212yes—
179#2692C2212yes—
180#2690C2212yes—
181#2690C2212yescomplemented
182#2689C2212yes—
183#2689C2212yescomplemented
184#2687C2212yes—
185#2685C2212yes—
186#2684C2212yes—
187#2677C2212yes—
188#2674C2212yes—
189#2666C2212yescomplemented
190#2666C2212yescomplemented
191#2665C2212yescomplemented
192#2665C2212yescomplemented
193#2664C2212yes—
194#2664C2212yes—
195#2664C2212yes—
196#2659C2211yescharacteristic
197#2659C2211yescharacteristic
198#2655C2212yescomplemented
199#2655C2212yescomplemented
200#2654C2212yes—
201#2652C2212yes—
202#2652C2212yescomplemented
203#2651C2212yes—
204#2650C2212yes—
205#2650C2212yes—
206#2650C2212yes—
207#2649C2212yes—
208#2647C2212yescomplemented
209#2646C2211yescharacteristic
210#2640C2212yes—
211#2638C2212yes—
212#2637C2212yes—
213#2637C2212yescomplemented
214#2633C2212yes—
215#2628C2212yes—
216#2626C2211yescharacteristic
217#2626C2211yescharacteristic
218#2626C2211yescharacteristic
219#2618C2211yescharacteristic
220#2617C2211yescharacteristic
221#2612C2212yescomplemented
222#2612C2212yescomplemented
223#2605C2212yescomplemented
224#2604C2212yescomplemented
225#2601C2212yes—
226#2601C2212yes—
227#2599C2212yes—
228#2599C2212yes—
229#2599C2212yescomplemented
230#2594C2212yescomplemented
231#2594C2212yescomplemented
232#2590C2212yescomplemented
233#2590C2212yescomplemented
234#2589C2212yes—
235#2589C2212yes—
236#2589C2212yes—
237#2588C2212yescomplemented
238#2588C2212yescomplemented
239#2587C2212yes—
240#2587C2212yes—
241#2585C2212yescomplemented
242#2581C2212yescomplemented
243#2581C2212yescomplemented
244#2578C2212yes—
245#2577C2212yescomplemented
246#2576C2212yes—
247#2575C2212yes—
248#2575C2212yes—
249#2574C2212yes—
250#2574C2212yes—
251#2574C2212yes—
252#2569C2212yescomplemented
253#2568C2211yescharacteristic, complemented
254#2567C2212yescomplemented
255#2564C2212yes—
256#2558C2212yescomplemented
257#2556C2212yes—
258#2553C2212yes—
259#2552C2211yescharacteristic, complemented
260#2551C2211yescharacteristic, complemented
261#2550C2212yescomplemented
262#2538C2211yescharacteristic, complemented
263#2534C2212yes—
264#2533C2212yescomplemented
265#2532C2212yes—
266#2532C2212yescomplemented
267#2530C2212yes—
268#2530C2212yes—
269#2530C2212yes—
270#2530C2212yescomplemented
271#2529C2212yes—
272#2529C2212yes—
273#2528C2212yescomplemented
274#2526C2212yes—
275#2524C2212yescomplemented
276#2524C2212yescomplemented
277#2523C2212yescomplemented
278#2522C2212yes—
279#2522C2212yes—
280#2522C2212yescomplemented
281#2521C2212yes—
282#2520C2212yescomplemented
283#2520C2212yescomplemented
284#2520C2212yescomplemented
285#2520C2212yescomplemented
286#2519C2212yes—
287#2518C2212yes—
288#2513C2212yescomplemented
289#2511C2212yescomplemented
290#2509C2212yescomplemented
291#2505C2212yes—
292#2505C2212yescomplemented
293#2499C2212yescomplemented
294#2495C2212yes—
295#2494C2212yes—
296#2494C2212yescomplemented
297#2492C2212yes—
298#2490C2212yes—
299#2488C2212yes—
300#2488C2212yes—
301#2485C2212yes—
302#2482C2212yes—
303#2480C2212yes—
304#2480C2212yes—
305#2480C2212yes—
306#2478C2212yes—
307#2478C2212yes—
308#2477C2212yes—
309#2477C2212yes—
310#2475C2212yes—
311#2475C2212yes—
312#2474C2212yes—
313#2473C2212yes—
314#2472C2212yes—
315#2470C2212yes—
316#2470C2212yes—
317#2469C2212yes—
318#2469C2212yes—
319#2469C2212yes—
320#2469C2212yes—
321#2469C2212yes—
322#2469C2212yescomplemented
323#2469C2212yescomplemented
324#2466C2212yes—
325#2465C2212yes—
326#2465C2212yescomplemented
327#2461C2212yes—
328#2459C2212yes—
329#2458C2212yes—
330#2458C2212yes—
331#2453C2212yescomplemented
332#2451C2212yescomplemented
333#2451C2212yescomplemented
334#2446C2212yescomplemented
335#2446C2212yescomplemented
336#2442C2212yes—
337#2439C2212yes—
338#2439C2212yescomplemented
339#2438C2212yes—
340#2438C2212yescomplemented
341#2437C2212yes—
342#2429C2212yescomplemented
343#2423C2212yes—
344#2421C2212yes—
345#2418C2212yes—
346#2415C2212yes—
347#2411C2212yes—
348#2396C2212yes—
349#2396C2212yescomplemented
350#2383C2212yes—
351#2382C2212yescomplemented
352#2378C2212yes—
353#2370C2212yescomplemented
354#2370C2212yescomplemented
355#2367C2212yes—
356#2365C2211yescharacteristic, complemented
357#2359C2212yescomplemented
358#2355C2211yescharacteristic, complemented
359#2354C2212yes—
360#2354C2211yescharacteristic, complemented
361#2353C2212yes—
362Q8×C4⋊C4C2211yescharacteristic, complemented
363#2342C2212yes—
364#2334C2212yes—
365#2329C2211yescharacteristic
366#2327C2212yescomplemented
367#2323C2212yes—
368#2323C2212yes—
369#2318C2212yes—
370#2315C2211yescharacteristic
371#2314C2212yescomplemented
372#2313C2211yescharacteristic
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2312yes—
381C2×C4⋊Q8C2312yes—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×#121C2311yescharacteristic
411C2×#120C2312yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2312yes—
432C22×C42C2311yescharacteristic
433#401C2312yes—
434#401C2312yes—
435#401C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
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#399C2312yes—
491#399C2312yes—
492#399C2312yes—
493#399C2312yes—
494#399C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#398C2312yes—
501#398C2312yes—
502#398C2312yes—
503#398C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
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#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
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#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#392C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2311yescharacteristic
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2311yescharacteristic
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2311yescharacteristic
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
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#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#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#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#384C2311yescharacteristic
999#384C2312yes—
1000#384C2312yes—
1001#384C2311yescharacteristic
1002#384C2311yescharacteristic
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#379C2312yes—
1053#379C2312yes—
1054#379C2312yes—
1055#379C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C25C2411yescharacteristic
1099C22×Q8C2411yescharacteristic
1100C22×Q8C2411yescharacteristic
1101C22×Q8C2412yes—
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C23×C4C2411yescharacteristic
1112C23×C4C2411yescharacteristic
1113C23×C4C2411yescharacteristic
1114C23×C4C2412yes—
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C4⋊Q8—42no—
1123C4⋊Q8—44no—
1124C4⋊Q8—82no—
1125C4⋊Q8—82no—
1126C4⋊Q8—82no—
1127#126—44no—
1128#126—44no—
1129#126—82no—
1130#126—82no—
1131#126—82no—
1132#126—82no—
1133#125—44no—
1134#125—44no—
1135#125—44no—
1136#125—82no—
1137#125—82no—
1138#124—44no—
1139#124—82no—
1140#123—44no—
1141#123—82no—
1142#123—82no—
1143#123—82no—
1144C22⋊Q8—24no—
1145C22⋊Q8—24no—
1146C22⋊Q8—44no—
1147C22⋊Q8—42no—
1148C22⋊Q8—82no—
1149C22⋊Q8—82no—
1150C22⋊Q8—82no—
1151C22⋊Q8—82no—
1152C22⋊Q8—82no—
1153#121—42no—
1154#120—82no—
1155C4×Q8—42no—
1156C4×Q8—42no—
1157C4×Q8—82no—
1158C4×Q8—82no—
1159C4×Q8—82no—
1160C4×Q8—82no—
1161C4×Q8—82no—
1162C4×D4—28no—
1163C4×D4—42no—
1164C4×D4—82no—
1165#117—44no—
1166#117—82no—
1167#117—82no—
1168#117—82no—
1169#117—82no—
1170C2×C4⋊C4—42no—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2411yescharacteristic
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2411yescharacteristic
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C22⋊C4—24no—
1275C2×C22⋊C4—42no—
1276C2×C22⋊C4—42no—
1277C2×C22⋊C4—82no—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C42—42no—
1340C2×C42C2412yes—
1341C2×C42C2411yescharacteristic
1342C2×C42C2412yes—
1343C2×C42C2411yescharacteristic
1344C2×C42C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2411yescharacteristic
1370C2×C42C2411yescharacteristic
1371#95C2412yes—
1372#95C2412yes—
1373#95C2412yes—
1374#95C2412yes—
1375#95C2412yes—
1376#95C2412yes—
1377#95C2412yes—
1378#95C2412yes—
1379#95C2412yes—
1380#95C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
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#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495C24—22no—
1496C24—41no—
1497C24—41no—
1498C24—41no—
1499C24—41no—
1500C24—41no—
1501C24—41no—
1502C24C2512yes—
1503C24C2512yes—
1504C24C2511yescharacteristic
1505C2×Q8—22no—
1506C2×Q8—22no—
1507C2×Q8—24no—
1508C2×Q8—41no—
1509C2×Q8—41no—
1510C2×Q8—41no—
1511C2×Q8—42no—
1512C2×Q8—42no—
1513C2×Q8—42no—
1514C2×Q8—42no—
1515C2×Q8—42no—
1516C2×Q8—41no—
1517C2×Q8—42no—
1518C2×Q8—42no—
1519C2×Q8—42no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—41no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—41no—
1529C2×D4—24no—
1530C2×D4—22no—
1531C2×D4—41no—
1532C2×D4—42no—
1533C2×D4—42no—
1534C2×D4—42no—
1535C2×D4—42no—
1536C2×D4—41no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C22×C4—22no—
1542C22×C4—24no—
1543C22×C4—22no—
1544C22×C4—22no—
1545C22×C4—41no—
1546C22×C4—41no—
1547C22×C4—41no—
1548C22×C4—42no—
1549C22×C4—42no—
1550C22×C4—41no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—41no—
1557C22×C4—42no—
1558C22×C4—41no—
1559C22×C4—41no—
1560C22×C4—41no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—42no—
1568C22×C4—41no—
1569C22×C4—42no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—42no—
1573C22×C42−1+414yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2511yescharacteristic
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2511yescharacteristic
1604C22×C4C2511yescharacteristic
1605C22×C4C2511yescharacteristic
1606C4⋊C4—24no—
1607C4⋊C4—22no—
1608C4⋊C4—22no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—42no—
1619C4⋊C4—41no—
1620C4⋊C4—42no—
1621C4⋊C4—41no—
1622C4⋊C4—41no—
1623C4⋊C4—42no—
1624C4⋊C4—42no—
1625C4⋊C4—42no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—41no—
1632C4⋊C4—42no—
1633C4⋊C4—41no—
1634C4⋊C4—42no—
1635C4⋊C4—41no—
1636C4⋊C4—42no—
1637C4⋊C4—42no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—41no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—41no—
1648C4⋊C4—42no—
1649C4⋊C4—41no—
1650C4⋊C4—41no—
1651C4⋊C4—42no—
1652C4⋊C4—41no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—41no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
1708C4⋊C4—41no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—42no—
1719C22⋊C4—42no—
1720C22⋊C4—42no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C42—24no—
1771C42—22no—
1772C42—22no—
1773C42—24no—
1774C42—24no—
1775C42—41no—
1776C42—41no—
1777C42—42no—
1778C42—42no—
1779C42—42no—
1780C42—42no—
1781C42—42no—
1782C42—42no—
1783C42—42no—
1784C42—42no—
1785C42—42no—
1786C42—42no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—44no—
1822C23—82no—
1823C23—82no—
1824C23—161no—
1825C23—161no—
1826C23—161no—
1827C23—161no—
1828C23C2×2−1+412yes—
1829C23C2611yescharacteristic
1830Q8—44no—
1831Q8—84no—
1832Q8—82no—
1833Q8—84no—
1834Q8—84no—
1835Q8—84no—
1836Q8—161no—
1837Q8—162no—
1838D4—82no—
1839D4—84no—
1840D4—84no—
1841D4—162no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—44no—
1935C2×C4—82no—
1936C2×C4—84no—
1937C2×C4—82no—
1938C2×C4—82no—
1939C2×C4—84no—
1940C2×C4—84no—
1941C2×C4—84no—
1942C2×C4—161no—
1943C2×C4—161no—
1944C2×C4—162no—
1945C2×C4C2×2−1+412yes—
1946C2×C4C2×2−1+412yes—
1947C2×C4#58512yes—
1948C2×C4#58512yes—
1949C22—22no—
1950C22—22no—
1951C22—22no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—164no—
1971C22C22×2−1+411yescharacteristic
1972C22C2×#58511yescharacteristic
1973C22C2×#58511yescharacteristic
1974C22H(7,𝔽2)11yescharacteristic
1975C22H(7,𝔽2)11yescharacteristic
1976C222−1+611yescharacteristic
1977C222−1+611yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—41no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C2—42no—
2011C2—82no—
2012C2—82no—
2013C2#6286911yescharacteristic
2014C2#6288911yescharacteristic
2015C2#6290211yescharacteristic
2016C2#6291111yescharacteristic
2017C2#6292911yescharacteristic
2018C2#6297411yescharacteristic
2019C2#6305611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2617C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59243C2semidirect
2. #58782C2semidirect
3. #58679C2semidirect
4. #58667C2semidirect
5. #57751C2semidirect
6. #56964C2semidirect
7. #56759C2semidirect
8. #56710C2semidirect
10. #55546C2semidirect
11. #54779C2semidirect
12. #54084C2semidirect
13. #53571C2semidirect
14. #52870C2semidirect
15. #52026C2semidirect
16. #51701C2semidirect
17. #51625C2semidirect
18. #51517C2semidirect
19. #50565C2semidirect
20. #48961C2semidirect
21. #48052C2semidirect
22. #47925C2semidirect
23. #47054C2semidirect
24. #46770C2semidirect
25. #45794C2semidirect
26. #44049C2semidirect
27. #42381C2semidirect
28. #42038C2semidirect
29. #41671C2semidirect
30. #40630C2semidirect
31. #39609C2semidirect
32. #39581C2semidirect
34. #37876C2semidirect
35. #37460C2semidirect
38. #2843C22semidirect
40. #2839C22semidirect
42. #2838C22semidirect
48. #2831C22semidirect
49. #2831C22semidirect
50. #2831C22semidirect
51. #2831C22semidirect
55. #2822C22semidirect
57. #2810C22semidirect
58. #2809C22semidirect
59. #2809C22semidirect
61. #2806C22semidirect
62. #2806C22semidirect
63. #2805C22semidirect
64. #2805C22semidirect
66. #2804C22semidirect
68. #2802C22semidirect
69. #2802C22semidirect
70. #2802C22semidirect
71. #2799C22semidirect
76. #2794C22semidirect
78. #2791C22semidirect
81. #2788C22semidirect
82. #2788C22semidirect
89. #2783C22semidirect
90. #2783C22semidirect
97. #2775C22semidirect
98. #2774C22semidirect
99. #2774C22semidirect
100. #2774C22semidirect
101. #2774C22semidirect
106. #2772C22semidirect
108. #2769C22semidirect
111. #2768C22semidirect
112. #2768C22semidirect
113. #2767C22semidirect
114. #2767C22semidirect
115. #2766C22semidirect
116. #2766C22semidirect
121. #2762C22semidirect
122. #2762C22semidirect
126. #2758C22semidirect
128. #2755C22semidirect
130. #2754C22semidirect
131. #2751C22semidirect
134. #2747C22semidirect
137. #2744C22semidirect
142. #2739C22semidirect
146. #2734C22semidirect
147. #2734C22semidirect
151. #2729C22semidirect
152. #2726C22semidirect
154. #2724C22semidirect
155. #2723C22semidirect
157. #2719C22semidirect
158. #2719C22semidirect
159. #2719C22semidirect
164. #2716C22semidirect
167. #2713C22semidirect
170. #2707C22semidirect
174. #2704C22semidirect
176. #2698C22semidirect
181. #2690C22semidirect
183. #2689C22semidirect
189. #2666C22semidirect
190. #2666C22semidirect
191. #2665C22semidirect
192. #2665C22semidirect
198. #2655C22semidirect
199. #2655C22semidirect
202. #2652C22semidirect
208. #2647C22semidirect
213. #2637C22semidirect
221. #2612C22semidirect
222. #2612C22semidirect
223. #2605C22semidirect
224. #2604C22semidirect
229. #2599C22semidirect
230. #2594C22semidirect
231. #2594C22semidirect
232. #2590C22semidirect
233. #2590C22semidirect
237. #2588C22semidirect
238. #2588C22semidirect
241. #2585C22semidirect
242. #2581C22semidirect
243. #2581C22semidirect
245. #2577C22semidirect
252. #2569C22semidirect
253. #2568C22semidirect
254. #2567C22semidirect
256. #2558C22semidirect
259. #2552C22semidirect
260. #2551C22semidirect
261. #2550C22semidirect
262. #2538C22semidirect
264. #2533C22semidirect
266. #2532C22semidirect
270. #2530C22semidirect
273. #2528C22semidirect
275. #2524C22semidirect
276. #2524C22semidirect
277. #2523C22semidirect
280. #2522C22semidirect
282. #2520C22semidirect
283. #2520C22semidirect
284. #2520C22semidirect
285. #2520C22semidirect
288. #2513C22semidirect
289. #2511C22semidirect
290. #2509C22semidirect
292. #2505C22semidirect
293. #2499C22semidirect
296. #2494C22semidirect
322. #2469C22semidirect
323. #2469C22semidirect
326. #2465C22semidirect
331. #2453C22semidirect
332. #2451C22semidirect
333. #2451C22semidirect
334. #2446C22semidirect
335. #2446C22semidirect
338. #2439C22semidirect
340. #2438C22semidirect
342. #2429C22semidirect
349. #2396C22semidirect
351. #2382C22semidirect
353. #2370C22semidirect
354. #2370C22semidirect
356. #2365C22semidirect
357. #2359C22semidirect
358. #2355C22semidirect
360. #2354C22semidirect
362. Q8×C4⋊C4C22semidirect
366. #2327C22semidirect
371. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#592432
#587822
#586792
#586672
#577512
#569642
#567592
#567102
#565192
#555462
#547792
#540842
#535712
#528702
#520262
#517012
#516252
#515172
#505652
#489612
#480522
#479252
#470542
#467702
#457942
#440492
#423812
#420382
#416712
#406302
#396092
#395812
#394992
#378762
#374602