Finite Group Databasebeta

← #7712513

Subgroups — #7712513

Order 512.

4790 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59699C212yesmaximal, complemented
2#59482C212yesmaximal, complemented
3#59280C212yesmaximal, complemented
4#59279C212yesmaximal, complemented
5#46083C212yesmaximal, complemented
6#46082C212yesmaximal, complemented
7#45721C212yesmaximal, complemented
8#45703C212yesmaximal, complemented
9#40105C212yesmaximal, complemented
10#40081C212yesmaximal, complemented
11#40009C212yesmaximal, complemented
12#39985C212yesmaximal, complemented
13#39286C212yesmaximal, complemented
14#39285C212yesmaximal, complemented
15#39251C212yesmaximal, complemented
16#39215C212yesmaximal, complemented
17#39143C212yesmaximal, complemented
18#39131C212yesmaximal, complemented
19#39033C212yesmaximal, complemented
20#39023C212yesmaximal, complemented
21#37579C212yesmaximal, complemented
22#37417C212yesmaximal, complemented
23#37409C212yesmaximal, complemented
24#36639C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36598C211yesmaximal, characteristic, complemented
27#36594C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#36150C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36149C211yesmaximal, characteristic, complemented
32#36134C211yesmaximal, characteristic, complemented
33#36134C211yesmaximal, characteristic, complemented
34#35322C211yesmaximal, characteristic, complemented
35#35298C211yesmaximal, characteristic, complemented
36#35291C211yesmaximal, characteristic, complemented
37#35288C211yesmaximal, characteristic, complemented
38#34499C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#529C2211yescharacteristic
48#2868C2211yescharacteristic
49#2868C2211yescharacteristic
50#2864C2212yes—
51#2863C2212yes—
52#2863C2212yes—
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2862C2211yescharacteristic
56#2862C2211yescharacteristic
57#2861C2212yes—
58#2861C2212yes—
59#2859C2211yescharacteristic
60#2858C2211yescharacteristic
61#2858C2211yescharacteristic
62#2858C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2211yescharacteristic
65#2857C2211yescharacteristic
66#2857C2211yescharacteristic
67#2857C2211yescharacteristic
68#2856C2211yescharacteristic
69#2855C2212yes—
70#2855C2212yes—
71#2851C2212yes—
72#2850C2212yes—
73#2850C2212yes—
74#2850C2212yes—
75#2850C2212yes—
76#2836C2214yes—
77#2829C2214yes—
78#2800C2214yes—
79#2800C2214yes—
80#2797C2214yes—
81#2796C2214yes—
82#2795C2214yes—
83#2793C2214yes—
84#2793C2214yes—
85#2793C2214yes—
86#2787C2214yes—
87#2783C2214yes—
88#2780C2214yes—
89#2780C2214yes—
90#2779C2214yes—
91#2773C2214yes—
92#2772C2214yes—
93#2765C2214yes—
94#2761C2214yes—
95#2761C2214yes—
96#2753C2214yes—
97#2752C2214yes—
98#2749C2214yes—
99#2748C2214yes—
100#2747C2214yes—
101#2743C2214yes—
102#2741C2214yes—
103#2741C2214yes—
104#2740C2214yes—
105#2738C2214yes—
106#2732C2214yes—
107#2730C2214yes—
108#2721C2214yes—
109#2714C2214yes—
110#2667C2214yes—
111#2651C2214yes—
112#2651C2214yes—
113#2648C2214yes—
114#2645C2212yes—
115#2644C2212yes—
116#2625C2212yes—
117#2624C2212yes—
118#2621C2212yes—
119#2621C2212yes—
120#2620C2212yes—
121#2620C2212yes—
122#2608C2214yes—
123#2597C2214yes—
124#2595C2214yes—
125#2582C2212yes—
126#2577C2214yes—
127#2576C2214yes—
128#2573C2214yes—
129#2571C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2569C2214yes—
133#2568C2212yes—
134#2566C2212yes—
135#2566C2212yes—
136#2565C2212yes—
137#2565C2212yes—
138#2565C2212yes—
139#2565C2212yes—
140#2554C2214yes—
141#2552C2212yes—
142#2552C2212yes—
143#2547C2212yes—
144#2545C2212yes—
145#2545C2212yes—
146#2545C2212yes—
147#2545C2212yes—
148#2542C2212yes—
149#2542C2212yes—
150#2540C2212yes—
151#2540C2212yes—
152#2538C2212yes—
153#2538C2212yes—
154#2538C2212yes—
155#2538C2212yes—
156#2536C2212yes—
157#2535C2212yes—
158#2531C2214yes—
159#2526C2214yes—
160#2525C2214yes—
161#2518C2214yes—
162#2516C2214yes—
163#2515C2214yes—
164#2514C2212yes—
165#2513C2212yes—
166#2512C2212yes—
167#2512C2212yes—
168#2512C2214yes—
169#2512C2212yes—
170#2512C2212yes—
171#2511C2212yes—
172#2511C2212yes—
173#2510C2214yes—
174#2509C2212yes—
175#2508C2212yes—
176#2500C2212yes—
177#2500C2212yes—
178#2499C2212yes—
179#2499C2212yes—
180#2499C2212yes—
181#2499C2212yes—
182#2495C2212yes—
183#2494C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2490C2212yes—
187#2489C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2479C2214yes—
191#2471C2214yes—
192#2454C2212yes—
193#2454C2212yes—
194#2454C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2453C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2448C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2441C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2432C2212yes—
211#2432C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2423C2212yes—
227#2423C2212yes—
228#2423C2212yes—
229#2423C2212yes—
230#2421C2212yes—
231#2421C2212yes—
232#2421C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2414C2212yes—
239#2414C2212yes—
240#2407C2212yes—
241#2407C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2383C2214yes—
245#2378C2214yes—
246#2373C2214yes—
247#2367C2212yes—
248#2367C2212yes—
249#2365C2212yes—
250#2365C2212yes—
251#2365C2212yes—
252#2363C2212yes—
253#2363C2212yes—
254#2362C2212yes—
255#2362C2212yes—
256#2355C2212yes—
257#2355C2212yes—
258#2354C2212yes—
259#2354C2212yes—
260#2354C2212yes—
261#2354C2212yes—
262#2351C2212yes—
263Q8×C4⋊C4C2212yes—
264Q8×C4⋊C4C2212yes—
265#2349C2212yes—
266#2343C2214yes—
267#2341C2212yes—
268#2341C2212yes—
269#2339C2212yes—
270#2339C2212yes—
271#2334C2214yes—
272#2334C2214yes—
273#2329C2214yes—
274#2327C2212yes—
275#2327C2212yes—
276#2326C2212yes—
277#2326C2212yes—
278#2324C2212yes—
279#2323C2212yes—
280#2320C2212yes—
281#2319C2212yes—
282#2314C2214yes—
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C4⋊Q8C2211yescharacteristic
288C4×#127C2211yescharacteristic
289C4×#125C2211yescharacteristic
290C4×#125C2212yes—
291C4×#125C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#126C2211yescharacteristic
295C4×#126C2211yescharacteristic
296C4×#124C2211yescharacteristic
297C4×#124C2212yes—
298C4×#124C2212yes—
299C4×#124C2212yes—
300C4×#124C2212yes—
301C4×#124C2211yescharacteristic
302C4×C22⋊Q8C2212yes—
303C4×C22⋊Q8C2212yes—
304C4×C22⋊Q8C2211yescharacteristic
305C4×C22⋊Q8C2211yescharacteristic
306C4×#123C2211yescharacteristic
307C4×#123C2211yescharacteristic
308C4×#123C2211yescharacteristic
309C4×#123C2211yescharacteristic
310C4×#121C2211yescharacteristic
311C4×#121C2211yescharacteristic
312#2298C2211yescharacteristic
313#2298C2211yescharacteristic
314#2297C2212yes—
315#2297C2212yes—
316#2295C2212yes—
317#2295C2212yes—
318#2295C2211yescharacteristic
319#2293C2211yescharacteristic
320#2290C2211yescharacteristic
321#2290C2211yescharacteristic
322#2283C2212yes—
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333#556—216no—
334#533—44no—
335#533—44no—
336#533—44no—
337#533—44no—
338#532—44no—
339#532—44no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×#127C2311yescharacteristic
350#529—28no—
351C2×#126C2311yescharacteristic
352C2×#126C2311yescharacteristic
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2311yescharacteristic
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#123C2311yescharacteristic
371C2×#123C2311yescharacteristic
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2311yescharacteristic
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×#117C2314yes—
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445#401C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#388C2311yescharacteristic
622#388C2311yescharacteristic
623#388C2311yescharacteristic
624#388C2311yescharacteristic
625#388C2311yescharacteristic
626#388C2311yescharacteristic
627#388C2311yescharacteristic
628#388C2311yescharacteristic
629#388C2311yescharacteristic
630#388C2311yescharacteristic
631#388C2311yescharacteristic
632#388C2311yescharacteristic
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2311yescharacteristic
669#388C2311yescharacteristic
670#388C2311yescharacteristic
671#388C2311yescharacteristic
672#387C2311yescharacteristic
673#387C2311yescharacteristic
674#387C2311yescharacteristic
675#387C2311yescharacteristic
676#387C2311yescharacteristic
677#387C2311yescharacteristic
678#387C2311yescharacteristic
679#387C2311yescharacteristic
680#387C2311yescharacteristic
681#387C2311yescharacteristic
682#387C2311yescharacteristic
683#387C2311yescharacteristic
684#387C2311yescharacteristic
685#387C2311yescharacteristic
686#387C2314yes—
687#387C2314yes—
688#387C2311yescharacteristic
689#387C2311yescharacteristic
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2311yescharacteristic
731#386C2311yescharacteristic
732#386C2311yescharacteristic
733#386C2311yescharacteristic
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2311yescharacteristic
746#385C2311yescharacteristic
747#385C2311yescharacteristic
748#385C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#384C2314yes—
758#384C2312yes—
759#384C2312yes—
760#384C2314yes—
761#383C2311yescharacteristic
762#383C2311yescharacteristic
763#383C2314yes—
764#383C2314yes—
765#382C2312yes—
766#382C2311yescharacteristic
767#382C2311yescharacteristic
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2314yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#382C2312yes—
776#382C2312yes—
777#382C2314yes—
778#382C2312yes—
779#381C2314yes—
780#381C2314yes—
781#381C2311yescharacteristic
782#381C2314yes—
783#381C2314yes—
784#381C2311yescharacteristic
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2314yes—
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2314yes—
883C2×#95C2314yes—
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C2×#41—28no—
895C2×#41—44no—
896C2×#41—44no—
897C2×#41—44no—
898C2×#41—44no—
899C2×#41—44no—
900C22×Q8C2412yes—
901C22×Q8C2412yes—
902C22×Q8C2412yes—
903C22×Q8C2412yes—
904C22×Q8C2412yes—
905C22×Q8C2411yescharacteristic
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2411yescharacteristic
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2411yescharacteristic
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—44no—
938C4⋊Q8—44no—
939C4⋊Q8—44no—
940#127—24no—
941#126—24no—
942#126—24no—
943#126—216no—
944#126—216no—
945#125—24no—
946#125—44no—
947#125—44no—
948#125—44no—
949#125—44no—
950#125—44no—
951#124—24no—
952#124—28no—
953#124—28no—
954#124—44no—
955#124—44no—
956#124—44no—
957#124—44no—
958#124—44no—
959#124—44no—
960#123—24no—
961#123—24no—
962C22⋊Q8—24no—
963C22⋊Q8—216no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977#121—24no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—42no—
988C4×Q8—42no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×Q8—44no—
997C4×Q8—44no—
998C4×Q8—44no—
999C4×Q8—44no—
1000C4×Q8#4118yescomplemented
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017#117—216no—
1018#117—24no—
1019#117—24no—
1020#117—42no—
1021#117—42no—
1022#117—44no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—42no—
1159C2×C42—42no—
1160C2×C42—42no—
1161C2×C42—42no—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2411yescharacteristic
1222#95C2414yes—
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2414yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24C2514yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299#41—816no—
1300#41—816no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—41no—
1317C2×Q8—41no—
1318C2×Q8C2×#4114yes—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—28no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C42−1+414yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2514yes—
1408C22×C4C2514yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2514yes—
1415C22×C4C2514yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—28no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4C2×#4114yes—
1497C4⋊C4C2×#4114yes—
1498C4⋊C4C2×#4114yes—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—28no—
1560C42—28no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—41no—
1593C42—41no—
1594C42—41no—
1595C42—41no—
1596C42—41no—
1597C42—41no—
1598C42—41no—
1599C42—41no—
1600C42—44no—
1601C42—44no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42C2×#4114yes—
1608C42C2×#4114yes—
1609C42C2×#4114yes—
1610C42H(5,𝔽2)14yes—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—24no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—24no—
1623C23—21no—
1624C23—21no—
1625C23—24no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—24no—
1630C23—24no—
1631C23—24no—
1632C23—21no—
1633C23—24no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23C2×2−1+412yes—
1639C23C2611yescharacteristic
1640Q8—44no—
1641Q8—48no—
1642Q8—48no—
1643Q8—48no—
1644Q8—48no—
1645Q8—48no—
1646D4—44no—
1647D4—44no—
1648D4—44no—
1649D4—48no—
1650D4—48no—
1651D4—48no—
1652D4—88no—
1653D4—88no—
1654D4—164no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—28no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—88no—
1760C2×C4C22×#4112yes—
1761C2×C4C22×#4112yes—
1762C2×C4C22×#4112yes—
1763C2×C4C22×#4112yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×2−1+412yes—
1771C2×C4C2×2−1+412yes—
1772C2×C4#58512yes—
1773C2×C4#58512yes—
1774C2×C4#58512yes—
1775C2×C4#58512yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—44no—
1786C22—41no—
1787C22—41no—
1788C22—44no—
1789C22—41no—
1790C22—41no—
1791C22—44no—
1792C22—41no—
1793C22—41no—
1794C22—44no—
1795C22—44no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—44no—
1801C22—41no—
1802C22—44no—
1803C22—41no—
1804C22C23×#4111yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C22×2−1+411yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—41no—
1819C4—41no—
1820C4—44no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—44no—
1825C4—44no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—44no—
1830C4—44no—
1831C4—41no—
1832C4—41no—
1833C4—44no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—44no—
1843C4#351714yes—
1844C4#356114yes—
1845C4#356214yes—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—84no—
1850C2C2×#356111yescharacteristic
1851C2C2×#356211yescharacteristic
1852C2C2×#351711yescharacteristic
1853C2#6280511yescharacteristic
1854C2#6281511yescharacteristic
1855C2#6283811yescharacteristic
1856C2#6283911yescharacteristic
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. #59699C2semidirect
2. #59482C2semidirect
3. #59280C2semidirect
4. #59279C2semidirect
5. #46083C2semidirect
6. #46082C2semidirect
7. #45721C2semidirect
8. #45703C2semidirect
9. #40105C2semidirect
10. #40081C2semidirect
11. #40009C2semidirect
12. #39985C2semidirect
13. #39286C2semidirect
14. #39285C2semidirect
15. #39251C2semidirect
16. #39215C2semidirect
17. #39143C2semidirect
18. #39131C2semidirect
19. #39033C2semidirect
20. #39023C2semidirect
21. #37579C2semidirect
22. #37417C2semidirect
23. #37409C2semidirect
24. #36639C2semidirect
25. #36635C2semidirect
26. #36598C2semidirect
27. #36594C2semidirect
28. #36151C2semidirect
29. #36150C2semidirect
30. #36150C2semidirect
31. #36149C2semidirect
32. #36134C2semidirect
33. #36134C2semidirect
34. #35322C2semidirect
35. #35298C2semidirect
36. #35291C2semidirect
37. #35288C2semidirect
38. #34499C2semidirect
39. C4×#529C2semidirect
1000. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#596992
#594822
#592802
#592792
#460832
#460822
#457212
#457032
#401052
#400812
#400092
#399852
#392862
#392852
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C4×#5292