Finite Group Databasebeta

← #7893264

Subgroups — #7893264

Order 512.

4351 conjugacy classes of subgroups.

The subgroup lattice has 2177 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59873C211yesmaximal, characteristic, complemented
2#59396C212yesmaximal, complemented
3#52278C211yesmaximal, characteristic, complemented
4#52078C212yesmaximal, complemented
5#51852C212yesmaximal, complemented
6#50529C212yesmaximal, complemented
7#50059C212yesmaximal, complemented
8#48654C212yesmaximal, complemented
9#48594C212yesmaximal, complemented
10#47561C212yesmaximal, complemented
11#46648C212yesmaximal, complemented
12#46281C211yesmaximal, characteristic, complemented
13#46090C211yesmaximal, characteristic, complemented
14#45235C212yesmaximal, complemented
15#44660C212yesmaximal, complemented
16#44132C212yesmaximal, complemented
17#43397C212yesmaximal, complemented
18#43186C212yesmaximal, complemented
19#41778C212yesmaximal, complemented
20#41113C212yesmaximal, complemented
21#41108C212yesmaximal, complemented
22#40823C212yesmaximal, complemented
23#40398C212yesmaximal, complemented
24#40084C212yesmaximal, complemented
25#39967C212yesmaximal, complemented
26#39709C211yesmaximal, characteristic, complemented
27#39629C211yesmaximal, characteristic, complemented
28#38763C211yesmaximal, characteristic, complemented
29#38492C211yesmaximal, characteristic, complemented
30#38465C211yesmaximal, characteristic, complemented
31#38445C211yesmaximal, characteristic, complemented
32#37167C211yesmaximal, characteristic, complemented
33#37142C211yesmaximal, characteristic, complemented
34#36402C211yesmaximal, characteristic, complemented
35#35766C212yesmaximal, complemented
36#35407C212yesmaximal, complemented
37#35046C211yesmaximal, characteristic, complemented
38#34516C212yesmaximal, complemented
39#34332C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×#554C2211yescharacteristic
42#2862C2211yescharacteristic
43#2860C2211yescharacteristic
44#2860C2211yescharacteristic
45#2855C2211yescharacteristic
46#2855C2212yes—
47#2855C2211yescharacteristic
48#2850C2211yescharacteristic
49#2850C2211yescharacteristic
50#2838C2212yes—
51#2837C2212yes—
52#2836C2212yes—
53#2823C2212yes—
54#2810C2211yescharacteristic
55#2809C2211yescharacteristic
56#2808C2211yescharacteristic
57#2808C2211yescharacteristic
58#2806C2211yescharacteristic
59#2806C2211yescharacteristic
60#2806C2211yescharacteristic
61#2806C2211yescharacteristic
62#2806C2212yes—
63#2806C2212yes—
64#2805C2212yes—
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2804C2211yescharacteristic
68#2802C2212yes—
69#2802C2212yes—
70#2801C2212yes—
71#2797C2212yes—
72#2797C2212yes—
73#2795C2212yes—
74#2794C2212yes—
75#2793C2212yes—
76#2791C2212yes—
77#2789C2212yes—
78#2787C2212yes—
79#2784C2212yes—
80#2780C2212yes—
81#2780C2212yes—
82#2779C2212yes—
83#2779C2212yes—
84#2779C2212yes—
85#2778C2212yes—
86#2777C2212yes—
87#2776C2212yes—
88#2776C2212yes—
89#2775C2212yes—
90#2773C2212yes—
91#2772C2212yes—
92#2772C2212yes—
93#2768C2212yes—
94#2768C2212yes—
95#2768C2212yes—
96#2766C2212yes—
97#2766C2212yes—
98#2765C2212yes—
99#2761C2212yes—
100#2761C2212yes—
101#2759C2212yes—
102#2754C2212yes—
103#2751C2212yes—
104#2751C2212yes—
105#2747C2212yes—
106#2745C2212yes—
107#2745C2212yes—
108#2741C2212yes—
109#2740C2212yes—
110#2732C2211yescharacteristic
111#2732C2212yes—
112#2730C2212yes—
113#2730C2212yes—
114#2729C2212yes—
115#2729C2212yes—
116#2729C2212yes—
117#2728C2212yes—
118#2727C2211yescharacteristic
119#2726C2211yescharacteristic
120#2725C2212yes—
121#2725C2212yes—
122#2723C2212yes—
123#2722C2212yes—
124#2721C2212yes—
125#2721C2212yes—
126#2720C2212yes—
127#2719C2212yes—
128#2716C2212yes—
129#2710C2212yes—
130#2701C2212yes—
131#2701C2212yes—
132#2698C2212yes—
133#2696C2212yes—
134#2695C2212yes—
135#2694C2212yes—
136#2694C2212yes—
137#2692C2212yes—
138#2692C2212yes—
139#2690C2212yes—
140#2689C2212yes—
141#2688C2212yes—
142#2686C2212yes—
143#2683C2211yescharacteristic
144#2682C2211yescharacteristic
145#2681C2212yes—
146#2672C2212yes—
147#2672C2212yes—
148#2667C2212yes—
149#2667C2212yes—
150#2666C2212yes—
151#2655C2212yes—
152#2655C2212yes—
153#2655C2212yes—
154#2654C2212yes—
155#2654C2212yes—
156#2654C2212yes—
157#2653C2212yes—
158#2648C2212yes—
159#2647C2212yes—
160#2637C2212yes—
161#2637C2212yes—
162#2637C2212yes—
163#2636C2212yes—
164#2635C2212yes—
165#2612C2212yes—
166#2608C2212yes—
167#2608C2212yes—
168#2607C2212yes—
169#2606C2212yes—
170#2604C2212yes—
171#2603C2212yes—
172#2602C2212yes—
173#2601C2212yes—
174#2601C2212yes—
175#2600C2212yes—
176#2597C2212yes—
177#2596C2212yes—
178#2595C2212yes—
179#2594C2212yes—
180#2594C2212yes—
181#2594C2212yes—
182#2594C2212yes—
183#2591C2212yes—
184#2590C2212yes—
185#2590C2212yes—
186#2589C2212yes—
187#2589C2212yes—
188#2588C2212yes—
189#2588C2212yes—
190#2587C2212yes—
191#2585C2212yes—
192#2581C2212yes—
193#2579C2212yes—
194#2578C2212yes—
195#2578C2212yes—
196#2576C2212yes—
197#2576C2212yes—
198#2576C2212yes—
199#2576C2212yes—
200#2575C2212yes—
201#2574C2212yes—
202#2573C2212yes—
203#2573C2212yes—
204#2565C2212yes—
205#2564C2212yes—
206#2560C2212yes—
207#2560C2212yes—
208#2560C2212yes—
209#2558C2212yes—
210#2556C2212yes—
211#2556C2212yes—
212#2554C2212yes—
213#2553C2212yes—
214#2553C2212yes—
215#2549C2212yes—
216#2543C2212yes—
217#2538C2212yes—
218#2536C2212yes—
219#2533C2212yes—
220#2532C2212yes—
221#2531C2212yes—
222#2528C2212yes—
223#2528C2212yes—
224#2527C2212yes—
225#2527C2212yes—
226#2522C2212yes—
227#2522C2212yes—
228#2522C2212yes—
229#2521C2212yes—
230#2521C2212yes—
231#2521C2212yes—
232#2520C2212yes—
233#2520C2212yes—
234#2520C2212yes—
235#2520C2212yes—
236#2520C2212yes—
237#2520C2212yes—
238#2518C2212yes—
239#2518C2212yes—
240#2517C2212yes—
241#2517C2212yes—
242#2516C2212yes—
243#2515C2212yes—
244#2514C2212yes—
245#2514C2211yescharacteristic
246#2512C2212yes—
247#2508C2212yes—
248#2508C2211yescharacteristic
249#2507C2212yes—
250#2494C2212yes—
251#2494C2212yes—
252#2494C2211yescharacteristic
253#2494C2212yes—
254#2493C2212yes—
255#2491C2211yescharacteristic
256#2484C2212yes—
257#2484C2212yes—
258#2481C2212yes—
259#2481C2212yes—
260#2477C2212yes—
261#2477C2212yes—
262#2476C2212yes—
263#2475C2212yes—
264#2473C2212yes—
265#2469C2212yes—
266#2469C2212yes—
267#2468C2212yes—
268#2468C2212yes—
269#2468C2212yes—
270#2468C2212yes—
271#2468C2212yes—
272#2467C2212yes—
273#2467C2212yes—
274#2467C2212yes—
275#2466C2212yes—
276#2466C2212yes—
277#2466C2212yes—
278#2465C2212yes—
279#2463C2212yes—
280#2462C2212yes—
281#2460C2212yes—
282#2459C2212yes—
283#2457C2212yes—
284#2456C2212yes—
285#2451C2212yes—
286#2451C2212yes—
287#2450C2212yes—
288#2449C2212yes—
289#2449C2212yes—
290#2449C2212yes—
291#2448C2211yescharacteristic
292#2447C2211yescharacteristic
293#2447C2212yes—
294#2443C2212yes—
295#2443C2212yes—
296#2439C2211yescharacteristic
297#2438C2212yes—
298#2438C2212yes—
299#2432C2211yescharacteristic
300#2429C2212yes—
301#2429C2212yes—
302#2429C2211yescharacteristic
303#2426C2212yes—
304#2426C2212yes—
305#2426C2211yescharacteristic
306#2421C2212yes—
307#2421C2212yes—
308#2420C2212yes—
309#2419C2212yes—
310#2417C2212yes—
311#2416C2212yes—
312#2415C2211yescharacteristic
313#2415C2211yescharacteristic
314#2414C2211yescharacteristic
315#2407C2211yescharacteristic
316#2401C2212yes—
317#2398C2212yes—
318#2395C2212yes—
319#2392C2212yes—
320#2388C2212yes—
321#2378C2212yes—
322#2378C2212yes—
323#2376C2212yes—
324#2373C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2370C2212yes—
329#2370C2212yes—
330#2370C2212yes—
331#2369C2211yescharacteristic
332#2368C2212yes—
333#2367C2212yes—
334#2365C2212yes—
335#2363C2211yescharacteristic
336#2363C2212yes—
337#2362C2211yescharacteristic
338#2362C2212yes—
339#2360C2212yes—
340#2360C2211yescharacteristic
341#2360C2212yes—
342#2360C2211yescharacteristic
343#2359C2212yes—
344#2357C2212yes—
345#2353C2212yes—
346#2353C2212yes—
347#2351C2212yes—
348Q8×C4⋊C4C2211yescharacteristic
349D4×C4⋊C4C2212yes—
350D4×C4⋊C4C2211yescharacteristic
351#2345C2211yescharacteristic
352#2345C2211yescharacteristic
353#2345C2212yes—
354#2344C2212yes—
355#2339C2212yes—
356#2337C2212yes—
357#2337C2212yes—
358#2336C2212yes—
359#2336C2212yes—
360#2335C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2334C2212yes—
366#2332C2212yes—
367#2332C2212yes—
368#2331C2212yes—
369#2330C2212yes—
370#2329C2212yes—
371#2329C2212yes—
372#2329C2212yes—
373#2327C2212yes—
374#2323C2212yes—
375#2323C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×C22⋊Q8C2212yes—
378C4×C22⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2212yes—
382C4×#123C2212yes—
383C4×#123C2212yes—
384C4×#121C2212yes—
385C4×#121C2211yescharacteristic
386#2297C2211yescharacteristic
387#2296C2211yescharacteristic
388#2295C2211yescharacteristic
389#2295C2211yescharacteristic
390C2×#389C2211yescharacteristic
391C2×#389C2211yescharacteristic
392#2290C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396#563—216no—
397#554—28no—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2311yescharacteristic
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×#117C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C42C2311yescharacteristic
480C22×C42C2311yescharacteristic
481C22×C42C2312yes—
482#401C2312yes—
483#401C2312yes—
484#401C2312yes—
485#401C2312yes—
486#401C2312yes—
487#401C2312yes—
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#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
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#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
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#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
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#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#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2311yescharacteristic
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#389C2312yes—
719#389C2311yescharacteristic
720#389C2311yescharacteristic
721#389C2311yescharacteristic
722#389C2312yes—
723#389C2311yescharacteristic
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
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#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#387C2312yes—
953#387C2312yes—
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#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#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#384C2311yescharacteristic
1017#384C2312yes—
1018#384C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2311yescharacteristic
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2311yescharacteristic
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2311yescharacteristic
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—24no—
1145C2×#41—81no—
1146C2×#41—81no—
1147C22×Q8C2411yescharacteristic
1148C22×Q8C2411yescharacteristic
1149C22×Q8C2412yes—
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×D4C2411yescharacteristic
1155C22×D4C2412yes—
1156C22×D4C2411yescharacteristic
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C23×C4C2411yescharacteristic
1164C23×C4C2412yes—
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C4⋊Q8—28no—
1180C4⋊Q8—81no—
1181C4⋊Q8—81no—
1182C4⋊Q8#4118yescomplemented
1183#126—28no—
1184#126—28no—
1185#126—28no—
1186#126—28no—
1187#126—44no—
1188#126—82no—
1189#126—82no—
1190#126—82no—
1191#126—82no—
1192#125—28no—
1193#125—28no—
1194#125—28no—
1195#125—82no—
1196#124—28no—
1197#124—44no—
1198#124—81no—
1199#124—81no—
1200#123—28no—
1201#123—28no—
1202#123—44no—
1203#123—82no—
1204C22⋊Q8—28no—
1205C22⋊Q8—28no—
1206C22⋊Q8—28no—
1207C22⋊Q8—28no—
1208C22⋊Q8—24no—
1209C22⋊Q8—24no—
1210C22⋊Q8—24no—
1211C22⋊Q8—28no—
1212C22⋊Q8—28no—
1213C22⋊Q8—42no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—81no—
1217C22⋊Q8—82no—
1218C22⋊Q8—81no—
1219C22⋊Q8—81no—
1220C22⋊Q8—82no—
1221#121—44no—
1222#121—42no—
1223#121—42no—
1224#121—44no—
1225#121—81no—
1226#121—82no—
1227C4×Q8—24no—
1228C4×Q8—44no—
1229C4×Q8—42no—
1230C4×Q8—82no—
1231C4×Q8—82no—
1232C4×Q8—81no—
1233C4×Q8—81no—
1234C4×Q8—81no—
1235C4×Q8—82no—
1236C4×D4—24no—
1237C4×D4—28no—
1238C4×D4—28no—
1239C4×D4—24no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—42no—
1243C4×D4—82no—
1244C4×D4—81no—
1245C4×D4—82no—
1246C4×D4—82no—
1247C4×D4—82no—
1248C4×D4—82no—
1249#117—42no—
1250#117—81no—
1251#117—82no—
1252#117—82no—
1253#117—81no—
1254C2×C4⋊C4—24no—
1255C2×C4⋊C4—24no—
1256C2×C4⋊C4—44no—
1257C2×C4⋊C4—44no—
1258C2×C4⋊C4—81no—
1259C2×C4⋊C4—81no—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2411yescharacteristic
1365C2×C22⋊C4C2411yescharacteristic
1366C2×C22⋊C4C2411yescharacteristic
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C42—81no—
1427C2×C42—81no—
1428C2×C42—82no—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2411yescharacteristic
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2412yes—
1460C2×C42C2411yescharacteristic
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1495#95C2411yescharacteristic
1496#95C2412yes—
1497#95C2411yescharacteristic
1498#95C2411yescharacteristic
1499#95C2411yescharacteristic
1500#95C2411yescharacteristic
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—
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—
1586C24C2512yes—
1587C24C2512yes—
1588C24C2511yescharacteristic
1589C24C2511yescharacteristic
1590#41—88no—
1591C2×Q8—22no—
1592C2×Q8—24no—
1593C2×Q8—22no—
1594C2×Q8—22no—
1595C2×Q8—22no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—42no—
1601C2×Q8—41no—
1602C2×Q8—42no—
1603C2×Q8—41no—
1604C2×Q8—41no—
1605C2×Q8—41no—
1606C2×Q8—41no—
1607C2×Q8—41no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—42no—
1611C2×Q8C2×#4118yes—
1612C2×D4—22no—
1613C2×D4—22no—
1614C2×D4—24no—
1615C2×D4—24no—
1616C2×D4—24no—
1617C2×D4—24no—
1618C2×D4—22no—
1619C2×D4—24no—
1620C2×D4—22no—
1621C2×D4—22no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—41no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—41no—
1635C2×D4—41no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C22×C4—22no—
1640C22×C4—24no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—22no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—22no—
1650C22×C4—24no—
1651C22×C4—22no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C42−1+414yes—
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2511yescharacteristic
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2511yescharacteristic
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C22×C4C2511yescharacteristic
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2511yescharacteristic
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2511yescharacteristic
1719C22×C4C2511yescharacteristic
1720C22×C4C2511yescharacteristic
1721C22×C4C2511yescharacteristic
1722C4⋊C4—22no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—22no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—22no—
1742C4⋊C4—24no—
1743C4⋊C4—22no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—22no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—41no—
1772C4⋊C4—41no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—41no—
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⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—41no—
1796C4⋊C4—42no—
1797C4⋊C4—41no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4C2×#4114yes—
1818C4⋊C4C2×#4114yes—
1819C4⋊C4C2×#4118yes—
1820C22⋊C4—22no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—22no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—22no—
1830C22⋊C4—22no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—22no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
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—41no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C42—24no—
1889C42—24no—
1890C42—24no—
1891C42—22no—
1892C42—24no—
1893C42—22no—
1894C42—41no—
1895C42—42no—
1896C42—42no—
1897C42—41no—
1898C42—41no—
1899C42—41no—
1900C42—42no—
1901C42—41no—
1902C42—42no—
1903C42—41no—
1904C42—41no—
1905C42—41no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—41no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—41no—
1928C42C2×#4114yes—
1929C23—21no—
1930C23—21no—
1931C23—21no—
1932C23—21no—
1933C23—21no—
1934C23—21no—
1935C23—21no—
1936C23—21no—
1937C23—21no—
1938C23—21no—
1939C23—21no—
1940C23—21no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23C2×2−1+412yes—
1956C23#58512yes—
1957C23C2611yescharacteristic
1958Q8—48no—
1959Q8—44no—
1960Q8—84no—
1961Q8—82no—
1962Q8—82no—
1963Q8—82no—
1964Q8—162no—
1965D4—28no—
1966D4—48no—
1967D4—84no—
1968D4—82no—
1969D4—82no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—21no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—21no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
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—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—22no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—44no—
2072C2×C4—44no—
2073C2×C4—44no—
2074C2×C4—44no—
2075C2×C4—84no—
2076C2×C4—84no—
2077C2×C4—84no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—82no—
2081C2×C4—82no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—162no—
2086C2×C4—162no—
2087C2×C4C22×#4112yes—
2088C2×C4C22×#4114yes—
2089C2×C4C22×#4114yes—
2090C2×C4C22×#4112yes—
2091C2×C4C22×#4112yes—
2092C2×C4C2×2−1+412yes—
2093C2×C4C2×2−1+412yes—
2094C2×C4#58512yes—
2095C22—22no—
2096C22—22no—
2097C22—22no—
2098C22—22no—
2099C22—22no—
2100C22—22no—
2101C22—41no—
2102C22—41no—
2103C22—41no—
2104C22—41no—
2105C22—41no—
2106C22—41no—
2107C22—41no—
2108C22—41no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22C23×#4111yescharacteristic
2124C22C22×2−1+411yescharacteristic
2125C22C2×#58511yescharacteristic
2126C22C2×#58511yescharacteristic
2127C22H(7,𝔽2)11yescharacteristic
2128C22H(7,𝔽2)11yescharacteristic
2129C222−1+611yescharacteristic
2130C4—24no—
2131C4—24no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—41no—
2148C4—42no—
2149C4—42no—
2150C4—41no—
2151C4—41no—
2152C4—42no—
2153C4—41no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—41no—
2158C4—42no—
2159C4—41no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C2—42no—
2166C2—42no—
2167C2—82no—
2168C2—82no—
2169C2#6278811yescharacteristic
2170C2#6285111yescharacteristic
2171C2#6286411yescharacteristic
2172C2#6295911yescharacteristic
2173C2#6296311yescharacteristic
2174C2#6299211yescharacteristic
2175C2#6305011yescharacteristic
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. #59873C2semidirect
2. #59396C2semidirect
3. #52278C2semidirect
4. #52078C2semidirect
5. #51852C2semidirect
6. #50529C2semidirect
7. #50059C2semidirect
8. #48654C2semidirect
9. #48594C2semidirect
10. #47561C2semidirect
11. #46648C2semidirect
12. #46281C2semidirect
13. #46090C2semidirect
14. #45235C2semidirect
15. #44660C2semidirect
16. #44132C2semidirect
17. #43397C2semidirect
18. #43186C2semidirect
19. #41778C2semidirect
20. #41113C2semidirect
21. #41108C2semidirect
22. #40823C2semidirect
23. #40398C2semidirect
24. #40084C2semidirect
25. #39967C2semidirect
26. #39709C2semidirect
27. #39629C2semidirect
28. #38763C2semidirect
29. #38492C2semidirect
30. #38465C2semidirect
31. #38445C2semidirect
32. #37167C2semidirect
33. #37142C2semidirect
34. #36402C2semidirect
35. #35766C2semidirect
36. #35407C2semidirect
37. #35046C2semidirect
38. #34516C2semidirect
39. #34332C2semidirect
1182. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598732
#593962
#522782
#520782
#518522
#505292
#500592
#486542
#485942
#475612
#466482
#462812
#460902
#452352
#446602
#441322
#433972
#431862
#417782
#411132
#411082
#408232
#403982
#400842
#399672
#397092
#396292
#387632
#384922
#384652
#384452
#371672
#371422
#364022
#357662
#354072
#350462
#345162
#343322