Finite Group Databasebeta

← #8070488

Subgroups — #8070488

Order 512.

4897 conjugacy classes of subgroups.

The subgroup lattice has 2209 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60021C212yesmaximal, complemented
2#59941C212yesmaximal, complemented
3#59882C212yesmaximal, complemented
4#59790C212yesmaximal, complemented
5#59419C211yesmaximal, characteristic, complemented
6#52032C212yesmaximal, complemented
7#51341C212yesmaximal, complemented
8#51046C212yesmaximal, complemented
9#50124C212yesmaximal, complemented
10#49396C212yesmaximal, complemented
11#49200C212yesmaximal, complemented
12#49051C212yesmaximal, complemented
13#48550C212yesmaximal, complemented
14#48242C212yesmaximal, complemented
15#47383C211yesmaximal, characteristic, complemented
16#47045C212yesmaximal, complemented
17#46617C212yesmaximal, complemented
18#46578C211yesmaximal, characteristic, complemented
19#44649C212yesmaximal, complemented
20#44172C212yesmaximal, complemented
21#44151C212yesmaximal, complemented
22#44103C211yesmaximal, characteristic, complemented
23#43975C212yesmaximal, complemented
24#43690C212yesmaximal, complemented
25#43683C212yesmaximal, complemented
26#43657C212yesmaximal, complemented
27#43498C211yesmaximal, characteristic, complemented
28#43015C212yesmaximal, complemented
29#39618C211yesmaximal, characteristic, complemented
30#39571C212yesmaximal, complemented
31#39166C212yesmaximal, complemented
32#38702C212yesmaximal, complemented
33#38552C212yesmaximal, complemented
34#34520C211yesmaximal, characteristic, complemented
35#34477C212yesmaximal, complemented
36C2×#560C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#550C2212yes—
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2212yes—
41C2×#539C2211yescharacteristic, complemented
42C2×#538C2211yescharacteristic
43#2862C2211yescharacteristic, complemented
44#2850C2212yes—
45#2834C2211yescharacteristic, complemented
46#2826C2211yescharacteristic
47#2799C2212yescomplemented
48#2798C2212yes—
49#2796C2212yescomplemented
50#2793C2212yes—
51#2778C2212yes—
52#2778C2212yes—
53#2771C2211yescharacteristic, complemented
54#2769C2212yescomplemented
55#2767C2212yescomplemented
56#2766C2212yescomplemented
57#2766C2212yescomplemented
58#2764C2212yes—
59#2762C2212yescomplemented
60#2760C2212yes—
61#2759C2212yes—
62#2756C2212yes—
63#2755C2212yescomplemented
64#2754C2212yes—
65#2754C2212yes—
66#2753C2212yes—
67#2752C2212yes—
68#2752C2211yescharacteristic, complemented
69#2751C2212yescomplemented
70#2750C2212yescomplemented
71#2749C2212yes—
72#2748C2212yes—
73#2746C2212yes—
74#2746C2212yes—
75#2745C2212yes—
76#2745C2212yescomplemented
77#2745C2212yescomplemented
78#2744C2212yescomplemented
79#2743C2212yes—
80#2743C2212yescomplemented
81#2741C2212yes—
82#2741C2212yes—
83#2740C2212yes—
84#2737C2212yescomplemented
85#2735C2211yescharacteristic
86#2731C2212yes—
87#2731C2212yescomplemented
88#2730C2212yes—
89#2730C2212yes—
90#2730C2212yes—
91#2730C2212yescomplemented
92#2729C2212yes—
93#2729C2212yescomplemented
94#2728C2212yes—
95#2728C2212yes—
96#2728C2212yescomplemented
97#2723C2212yes—
98#2719C2212yescomplemented
99#2718C2212yescomplemented
100#2716C2212yescomplemented
101#2712C2212yes—
102#2711C2212yes—
103#2711C2212yes—
104#2709C2212yes—
105#2708C2212yes—
106#2705C2212yes—
107#2703C2212yes—
108#2703C2212yes—
109#2701C2212yes—
110#2701C2212yescomplemented
111#2700C2212yescomplemented
112#2699C2212yes—
113#2699C2212yes—
114#2699C2212yes—
115#2699C2211yescharacteristic, complemented
116#2699C2211yescharacteristic, complemented
117#2698C2212yes—
118#2696C2212yes—
119#2696C2212yescomplemented
120#2692C2212yes—
121#2692C2212yes—
122#2692C2212yescomplemented
123#2692C2212yescomplemented
124#2691C2212yescomplemented
125#2691C2212yescomplemented
126#2688C2212yes—
127#2688C2212yes—
128#2682C2212yes—
129#2681C2212yes—
130#2678C2212yes—
131#2676C2212yes—
132#2674C2212yes—
133#2673C2212yes—
134#2673C2212yes—
135#2672C2212yescomplemented
136#2671C2212yes—
137#2669C2212yes—
138#2668C2211yescharacteristic
139#2668C2212yes—
140#2660C2212yescomplemented
141#2653C2212yes—
142#2648C2212yescomplemented
143#2639C2212yes—
144#2639C2212yescomplemented
145#2637C2212yes—
146#2636C2212yes—
147#2636C2212yes—
148#2631C2212yes—
149#2609C2212yescomplemented
150#2607C2212yes—
151#2605C2212yescomplemented
152#2605C2212yescomplemented
153#2605C2212yescomplemented
154#2604C2212yes—
155#2604C2212yes—
156#2603C2212yes—
157#2603C2212yes—
158#2602C2212yescomplemented
159#2597C2212yes—
160#2596C2212yescomplemented
161#2595C2212yes—
162#2594C2212yescomplemented
163#2589C2212yes—
164#2586C2212yescomplemented
165#2582C2211yescharacteristic, complemented
166#2578C2212yes—
167#2576C2212yes—
168#2576C2212yescomplemented
169#2576C2212yescomplemented
170#2574C2212yescomplemented
171#2574C2212yescomplemented
172#2573C2212yescomplemented
173#2572C2212yes—
174#2572C2212yes—
175#2572C2212yes—
176#2566C2212yescomplemented
177#2564C2212yes—
178#2564C2212yescomplemented
179#2563C2212yes—
180#2563C2211yescharacteristic, complemented
181#2560C2212yescomplemented
182#2560C2212yescomplemented
183#2559C2212yes—
184#2558C2212yescomplemented
185#2557C2212yes—
186#2557C2212yes—
187#2557C2212yes—
188#2557C2212yes—
189#2557C2212yescomplemented
190#2556C2212yes—
191#2555C2212yes—
192#2554C2212yescomplemented
193#2553C2212yes—
194#2543C2211yescharacteristic
195#2543C2211yescharacteristic
196#2543C2212yes—
197#2543C2212yescomplemented
198#2542C2211yescharacteristic
199#2540C2212yes—
200#2537C2211yescharacteristic, complemented
201#2530C2212yescomplemented
202#2529C2212yes—
203#2529C2212yescomplemented
204#2528C2212yescomplemented
205#2527C2212yes—
206#2527C2212yescomplemented
207#2527C2212yescomplemented
208#2526C2212yes—
209#2523C2212yescomplemented
210#2521C2212yes—
211#2521C2212yes—
212#2521C2212yescomplemented
213#2519C2212yes—
214#2518C2212yes—
215#2518C2212yescomplemented
216#2517C2211yescharacteristic
217#2517C2212yes—
218#2517C2212yescomplemented
219#2516C2212yes—
220#2515C2212yes—
221#2515C2212yescomplemented
222#2510C2212yes—
223#2510C2212yescomplemented
224#2507C2212yescomplemented
225#2505C2212yescomplemented
226#2504C2211yescharacteristic
227#2504C2211yescharacteristic, complemented
228#2500C2212yes—
229#2498C2212yes—
230#2493C2212yescomplemented
231#2493C2212yescomplemented
232#2493C2212yescomplemented
233#2489C2212yes—
234#2488C2212yes—
235#2488C2212yes—
236#2488C2212yescomplemented
237#2484C2212yescomplemented
238#2481C2212yes—
239#2481C2212yes—
240#2481C2212yescomplemented
241#2479C2212yes—
242#2477C2212yes—
243#2477C2212yes—
244#2477C2212yescomplemented
245#2476C2212yescomplemented
246#2472C2212yes—
247#2472C2212yes—
248#2472C2212yes—
249#2471C2212yes—
250#2471C2212yes—
251#2471C2212yescomplemented
252#2467C2212yes—
253#2467C2212yescomplemented
254#2464C2212yes—
255#2464C2212yes—
256#2463C2212yes—
257#2462C2212yescomplemented
258#2460C2212yescomplemented
259#2459C2212yes—
260#2458C2212yescomplemented
261#2457C2212yes—
262#2456C2212yes—
263#2455C2211yescharacteristic, complemented
264#2450C2212yescomplemented
265#2449C2212yes—
266#2449C2212yescomplemented
267#2448C2212yes—
268#2446C2212yescomplemented
269#2444C2212yes—
270#2444C2212yes—
271#2443C2212yes—
272#2443C2212yes—
273#2438C2212yes—
274#2438C2212yescomplemented
275#2436C2212yes—
276#2432C2212yes—
277#2431C2212yes—
278#2431C2212yescomplemented
279#2430C2212yes—
280#2430C2212yes—
281#2430C2212yes—
282#2430C2212yes—
283#2428C2212yes—
284#2428C2212yescomplemented
285#2425C2212yes—
286#2424C2212yes—
287#2421C2212yescomplemented
288#2421C2212yescomplemented
289#2420C2212yes—
290#2420C2212yescomplemented
291#2419C2212yes—
292#2419C2212yes—
293#2419C2212yescomplemented
294#2418C2212yes—
295#2417C2212yes—
296#2417C2212yescomplemented
297#2417C2212yescomplemented
298#2416C2212yes—
299#2412C2212yes—
300#2409C2212yes—
301#2409C2212yescomplemented
302#2409C2212yescomplemented
303#2407C2212yes—
304#2406C2212yes—
305#2404C2212yes—
306#2404C2212yes—
307#2398C2212yes—
308C2×#400C2211yescharacteristic, complemented
309C2×#399C2211yescharacteristic
310#2388C2212yes—
311#2383C2212yes—
312#2380C2212yes—
313#2380C2211yescharacteristic
314#2377C2212yescomplemented
315#2377C2212yescomplemented
316#2374C2212yes—
317#2374C2211yescharacteristic
318#2373C2212yescomplemented
319#2372C2212yes—
320#2372C2212yes—
321#2368C2211yescharacteristic
322#2368C2212yescomplemented
323#2368C2212yescomplemented
324#2368C2211yescharacteristic, complemented
325#2366C2212yescomplemented
326#2364C2212yes—
327#2364C2212yes—
328#2364C2212yes—
329#2363C2212yes—
330#2363C2212yescomplemented
331#2361C2212yes—
332#2361C2212yes—
333#2359C2212yes—
334#2359C2212yescomplemented
335#2358C2212yes—
336#2358C2211yescharacteristic
337#2356C2212yescomplemented
338#2353C2212yescomplemented
339#2353C2212yescomplemented
340#2353C2212yescomplemented
341#2352C2212yes—
342#2343C2212yescomplemented
343#2342C2212yes—
344#2339C2212yes—
345#2339C2212yes—
346#2339C2212yescomplemented
347#2339C2212yescomplemented
348#2335C2212yes—
349#2333C2212yes—
350#2333C2212yes—
351#2333C2212yes—
352#2328C2212yes—
353#2328C2212yes—
354#2328C2212yescomplemented
355#2325C2212yes—
356#2325C2212yes—
357#2325C2212yescomplemented
358#2325C2212yescomplemented
359#2324C2212yes—
360#2324C2212yes—
361#2322C2211yescharacteristic
362#2321C2211yescharacteristic
363#2321C2212yes—
364#2320C2212yescomplemented
365#2318C2212yescomplemented
366#2318C2212yescomplemented
367#2313C2212yes—
368#2311C2212yes—
369C4×#127C2211yescharacteristic
370C4×#126C2212yes—
371C4×#124C2212yescomplemented
372C4×#123C2212yes—
373C4×#121C2212yescomplemented
374#2297C2212yescomplemented
375#2295C2211yescharacteristic, complemented
376C2×#391C2212yescomplemented
377#2290C2212yes—
378#2290C2212yescomplemented
379C22×#41C2312yes—
380C22×#41C2312yes—
381C22×#41C2312yes—
382C23×Q8C2312yes—
383#560—28no—
384#554—44no—
385#550—216no—
386D4×Q8—44no—
387#548—48no—
388#539—44no—
389#538—44no—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2311yescharacteristic
393C2×#127C2312yes—
394C2×#127C2312yes—
395C2×#127C2311yescharacteristic
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#123C2311yescharacteristic
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#120C2312yes—
454C2×#120C2311yescharacteristic
455C2×#120C2312yes—
456C2×#120C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2312yes—
491C22×C22⋊C4C2312yes—
492C22×C42C2312yes—
493#401C2312yes—
494#401C2312yes—
495#401C2312yes—
496#401C2312yes—
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#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2311yescharacteristic
525#399C2311yescharacteristic
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2311yescharacteristic
533#399C2312yes—
534#399C2311yescharacteristic
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2311yescharacteristic
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2311yescharacteristic
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#397C2311yescharacteristic
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2311yescharacteristic
643#394C2311yescharacteristic
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#392C2311yescharacteristic
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2311yescharacteristic
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
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#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#386C2312yes—
872#386C2312yes—
873#386C2312yes—
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2311yescharacteristic
898#386C2312yes—
899#386C2312yes—
900#386C2311yescharacteristic
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2311yescharacteristic
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2311yescharacteristic
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#384C2311yescharacteristic
990#384C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2311yescharacteristic
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#379C2311yescharacteristic
1043#379C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2311yescharacteristic
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2311yescharacteristic
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊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—
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C2×#95C2312yes—
1104C43C2311yescharacteristic
1105C25C2411yescharacteristic
1106C2×#41—28no—
1107C2×#41—28no—
1108C2×#41—44no—
1109C2×#41—44no—
1110C2×#41—44no—
1111C2×#41—82no—
1112C2×#41—82no—
1113C2×#41—82no—
1114C2×#41—82no—
1115C22×Q8—28no—
1116C22×Q8—82no—
1117C22×Q8—82no—
1118C22×Q8C2412yes—
1119C22×Q8C2412yes—
1120C22×Q8C2412yes—
1121C22×Q8C2412yes—
1122C22×Q8C2412yes—
1123C22×Q8C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2411yescharacteristic
1141C22×D4C2411yescharacteristic
1142C22×D4C2412yes—
1143C22×D4C2411yescharacteristic
1144C22×D4C2411yescharacteristic
1145C22×D4C2412yes—
1146C22×D4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2411yescharacteristic
1150C23×C4C2411yescharacteristic
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2411yescharacteristic
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2411yescharacteristic
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C23×C4C2412yes—
1165C23×C4C2411yescharacteristic
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C4⋊Q8—42no—
1172C4⋊Q8—44no—
1173C4⋊Q8—42no—
1174#127—28no—
1175#127—28no—
1176#127#4118yescomplemented
1177#126—28no—
1178#126—44no—
1179#126—44no—
1180#126—44no—
1181#126—82no—
1182#125—44no—
1183#125—44no—
1184#124—28no—
1185#124—44no—
1186#124—44no—
1187#124—44no—
1188#124—44no—
1189#124—82no—
1190#123—28no—
1191#123—24no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—82no—
1199#123—82no—
1200C22⋊Q8—24no—
1201C22⋊Q8—28no—
1202C22⋊Q8—24no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—82no—
1212C22⋊Q8—82no—
1213C22⋊Q8—82no—
1214#121—28no—
1215#121—28no—
1216#121—28no—
1217#121—28no—
1218#121—28no—
1219#121—28no—
1220#121—28no—
1221#121—28no—
1222#121—28no—
1223#121—42no—
1224#121—42no—
1225#121—44no—
1226#121—44no—
1227#121—44no—
1228#121—44no—
1229#121—44no—
1230#121—82no—
1231#121—82no—
1232#121—82no—
1233#121—82no—
1234#120—28no—
1235#120—24no—
1236#120—44no—
1237#120—82no—
1238C4×Q8—24no—
1239C4×Q8—28no—
1240C4×Q8—44no—
1241C4×D4—28no—
1242C4×D4—28no—
1243C4×D4—28no—
1244C4×D4—44no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—44no—
1249C4×D4—44no—
1250C4×D4—42no—
1251C4×D4—42no—
1252C4×D4—44no—
1253C4×D4—44no—
1254C4×D4—44no—
1255C4×D4—82no—
1256C4×D4—82no—
1257C4×D4—82no—
1258C4×D4—82no—
1259C4×D4—82no—
1260C4×D4—82no—
1261#117—44no—
1262#117—82no—
1263#117—82no—
1264#117—82no—
1265C2×C4⋊C4—44no—
1266C2×C4⋊C4—42no—
1267C2×C4⋊C4—42no—
1268C2×C4⋊C4—42no—
1269C2×C4⋊C4—82no—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
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×C22⋊C4—44no—
1336C2×C22⋊C4—42no—
1337C2×C22⋊C4—82no—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2411yescharacteristic
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2411yescharacteristic
1425C2×C22⋊C4C2411yescharacteristic
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C42—82no—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1473#95C2412yes—
1474#95C2412yes—
1475#95C2411yescharacteristic
1476#95C2412yes—
1477#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1547#95C2412yes—
1548#95C2411yescharacteristic
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—
1563C24—22no—
1564C24—41no—
1565C24—42no—
1566C24—42no—
1567C24—41no—
1568C24C2512yes—
1569C24C2512yes—
1570C24C2512yes—
1571C24C2511yescharacteristic
1572C24C2511yescharacteristic
1573C24C2512yes—
1574#41—816no—
1575#41—816no—
1576#41—816no—
1577C2×Q8—24no—
1578C2×Q8—24no—
1579C2×Q8—24no—
1580C2×Q8—24no—
1581C2×Q8—24no—
1582C2×Q8—42no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—816no—
1594C2×Q8H(5,𝔽2)14yes—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—24no—
1601C2×D4—24no—
1602C2×D4—24no—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—24no—
1610C2×D4—41no—
1611C2×D4—41no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—41no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—41no—
1651C2×D4—41no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4C2×#4118yes—
1659C2×D4C2×#4118yes—
1660C2×D4C2×#4114yes—
1661C2×D4C2×#4114yes—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—22no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—24no—
1671C22×C4—24no—
1672C22×C4—24no—
1673C22×C4—22no—
1674C22×C4—22no—
1675C22×C4—24no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—41no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—41no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—41no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—41no—
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×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2511yescharacteristic
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2511yescharacteristic
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2511yescharacteristic
1758C22×C4C2512yes—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—22no—
1767C4⋊C4—24no—
1768C4⋊C4—22no—
1769C4⋊C4—22no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
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—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—41no—
1800C4⋊C4—42no—
1801C4⋊C4—41no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C4⋊C4—41no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—22no—
1830C22⋊C4—24no—
1831C22⋊C4—22no—
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—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
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—41no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—41no—
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—41no—
1877C22⋊C4—41no—
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—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C42—24no—
1918C42—24no—
1919C42—24no—
1920C42—22no—
1921C42—24no—
1922C42—24no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—41no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42C2×#4114yes—
1944C23—21no—
1945C23—21no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—21no—
1956C23—21no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—82no—
1980C23—84no—
1981C23—84no—
1982C23—161no—
1983C23—161no—
1984C23C22×#4112yes—
1985C23C22×#4112yes—
1986C23C22×#4114yes—
1987C23C2611yescharacteristic
1988Q8—44no—
1989Q8—48no—
1990Q8—48no—
1991Q8—84no—
1992Q8—84no—
1993Q8—162no—
1994D4—44no—
1995D4—44no—
1996D4—48no—
1997D4—48no—
1998D4—48no—
1999D4—48no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—84no—
2006D4—84no—
2007D4—84no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—84no—
2012D4—84no—
2013D4—162no—
2014D4—161no—
2015D4—161no—
2016D4—162no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—21no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
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—21no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—48no—
2096C2×C4—48no—
2097C2×C4—48no—
2098C2×C4—82no—
2099C2×C4—82no—
2100C2×C4—84no—
2101C2×C4—84no—
2102C2×C4—84no—
2103C2×C4—84no—
2104C2×C4—84no—
2105C2×C4—82no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—84no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—161no—
2114C2×C4—162no—
2115C2×C4—162no—
2116C2×C4—162no—
2117C2×C4—161no—
2118C2×C4—162no—
2119C2×C4C22×#4114yes—
2120C2×C4C22×#4112yes—
2121C2×C4C2×H(5,𝔽2)14yes—
2122C2×C4C2×H(5,𝔽2)12yes—
2123C2×C4#58514yes—
2124C22—22no—
2125C22—24no—
2126C22—22no—
2127C22—24no—
2128C22—24no—
2129C22—24no—
2130C22—24no—
2131C22—41no—
2132C22—41no—
2133C22—42no—
2134C22—42no—
2135C22—41no—
2136C22—41no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—42no—
2161C22—42no—
2162C22—164no—
2163C22C23×#4111yescharacteristic
2164C22C22×H(5,𝔽2)11yescharacteristic
2165C22C2×#58512yes—
2166C22H(7,𝔽2)12yes—
2167C222−1+611yescharacteristic
2168C4—22no—
2169C4—24no—
2170C4—24no—
2171C4—24no—
2172C4—22no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—41no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—41no—
2191C4—41no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C4—42no—
2196C4—42no—
2197C2—42no—
2198C2—44no—
2199C2—42no—
2200C2—82no—
2201C2—82no—
2202C2—82no—
2203C2#6286211yescharacteristic
2204C2#6288412yes—
2205C2#6298411yescharacteristic
2206C2#6299012yes—
2207C2#6303511yescharacteristic
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. #60021C2semidirect
2. #59941C2semidirect
3. #59882C2semidirect
4. #59790C2semidirect
5. #59419C2semidirect
6. #52032C2semidirect
7. #51341C2semidirect
8. #51046C2semidirect
9. #50124C2semidirect
10. #49396C2semidirect
11. #49200C2semidirect
12. #49051C2semidirect
13. #48550C2semidirect
14. #48242C2semidirect
15. #47383C2semidirect
16. #47045C2semidirect
17. #46617C2semidirect
18. #46578C2semidirect
19. #44649C2semidirect
20. #44172C2semidirect
21. #44151C2semidirect
22. #44103C2semidirect
23. #43975C2semidirect
24. #43690C2semidirect
25. #43683C2semidirect
26. #43657C2semidirect
27. #43498C2semidirect
28. #43015C2semidirect
29. #39618C2semidirect
30. #39571C2semidirect
31. #39166C2semidirect
32. #38702C2semidirect
33. #38552C2semidirect
34. #34520C2semidirect
35. #34477C2semidirect
39. C2×D4×Q8C22semidirect
41. C2×#539C22semidirect
43. #2862C22semidirect
45. #2834C22semidirect
47. #2799C22semidirect
49. #2796C22semidirect
53. #2771C22semidirect
54. #2769C22semidirect
55. #2767C22semidirect
56. #2766C22semidirect
57. #2766C22semidirect
59. #2762C22semidirect
63. #2755C22semidirect
68. #2752C22semidirect
69. #2751C22semidirect
70. #2750C22semidirect
76. #2745C22semidirect
77. #2745C22semidirect
78. #2744C22semidirect
80. #2743C22semidirect
84. #2737C22semidirect
87. #2731C22semidirect
91. #2730C22semidirect
93. #2729C22semidirect
96. #2728C22semidirect
98. #2719C22semidirect
99. #2718C22semidirect
100. #2716C22semidirect
110. #2701C22semidirect
111. #2700C22semidirect
115. #2699C22semidirect
116. #2699C22semidirect
119. #2696C22semidirect
122. #2692C22semidirect
123. #2692C22semidirect
124. #2691C22semidirect
125. #2691C22semidirect
135. #2672C22semidirect
140. #2660C22semidirect
142. #2648C22semidirect
144. #2639C22semidirect
149. #2609C22semidirect
151. #2605C22semidirect
152. #2605C22semidirect
153. #2605C22semidirect
158. #2602C22semidirect
160. #2596C22semidirect
162. #2594C22semidirect
164. #2586C22semidirect
165. #2582C22semidirect
168. #2576C22semidirect
169. #2576C22semidirect
170. #2574C22semidirect
171. #2574C22semidirect
172. #2573C22semidirect
176. #2566C22semidirect
178. #2564C22semidirect
180. #2563C22semidirect
181. #2560C22semidirect
182. #2560C22semidirect
184. #2558C22semidirect
189. #2557C22semidirect
192. #2554C22semidirect
197. #2543C22semidirect
200. #2537C22semidirect
201. #2530C22semidirect
203. #2529C22semidirect
204. #2528C22semidirect
206. #2527C22semidirect
207. #2527C22semidirect
209. #2523C22semidirect
212. #2521C22semidirect
215. #2518C22semidirect
218. #2517C22semidirect
221. #2515C22semidirect
223. #2510C22semidirect
224. #2507C22semidirect
225. #2505C22semidirect
227. #2504C22semidirect
230. #2493C22semidirect
231. #2493C22semidirect
232. #2493C22semidirect
236. #2488C22semidirect
237. #2484C22semidirect
240. #2481C22semidirect
244. #2477C22semidirect
245. #2476C22semidirect
251. #2471C22semidirect
253. #2467C22semidirect
257. #2462C22semidirect
258. #2460C22semidirect
260. #2458C22semidirect
263. #2455C22semidirect
264. #2450C22semidirect
266. #2449C22semidirect
268. #2446C22semidirect
274. #2438C22semidirect
278. #2431C22semidirect
284. #2428C22semidirect
287. #2421C22semidirect
288. #2421C22semidirect
290. #2420C22semidirect
293. #2419C22semidirect
296. #2417C22semidirect
297. #2417C22semidirect
301. #2409C22semidirect
302. #2409C22semidirect
308. C2×#400C22semidirect
314. #2377C22semidirect
315. #2377C22semidirect
318. #2373C22semidirect
322. #2368C22semidirect
323. #2368C22semidirect
324. #2368C22semidirect
325. #2366C22semidirect
330. #2363C22semidirect
334. #2359C22semidirect
337. #2356C22semidirect
338. #2353C22semidirect
339. #2353C22semidirect
340. #2353C22semidirect
342. #2343C22semidirect
346. #2339C22semidirect
347. #2339C22semidirect
354. #2328C22semidirect
357. #2325C22semidirect
358. #2325C22semidirect
364. #2320C22semidirect
365. #2318C22semidirect
366. #2318C22semidirect
371. C4×#124C22semidirect
373. C4×#121C22semidirect
374. #2297C22semidirect
375. #2295C22semidirect
376. C2×#391C22semidirect
378. #2290C22semidirect
1176. #127#41semidirect

Maximal subgroups

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

subgroupindex
#600212
#599412
#598822
#597902
#594192
#520322
#513412
#510462
#501242
#493962
#492002
#490512
#485502
#482422
#473832
#470452
#466172
#465782
#446492
#441722
#441512
#441032
#439752
#436902
#436832
#436572
#434982
#430152
#396182
#395712
#391662
#387022
#385522
#345202
#344772