Finite Group Databasebeta

← #7711471

Subgroups — #7711471

Order 512.

6524 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3565C212yesmaximal, complemented
2#59680C211yesmaximal, characteristic, complemented
3#59667C211yesmaximal, characteristic, complemented
4#59658C212yesmaximal, complemented
5#59586C212yesmaximal, complemented
6#59458C211yesmaximal, characteristic, complemented
7#59444C211yesmaximal, characteristic, complemented
8#45485C212yesmaximal, complemented
9#45484C212yesmaximal, complemented
10#45481C214yesmaximal, complemented
11#39963C212yesmaximal, complemented
12#39962C212yesmaximal, complemented
13#39425C212yesmaximal, complemented
14#39424C212yesmaximal, complemented
15#39411C212yesmaximal, complemented
16#39409C212yesmaximal, complemented
17#39393C214yesmaximal, complemented
18#39387C211yesmaximal, characteristic, complemented
19#39387C211yesmaximal, characteristic, complemented
20#39370C211yesmaximal, characteristic, complemented
21#39370C211yesmaximal, characteristic, complemented
22#38431C214yesmaximal, complemented
23#37553C212yesmaximal, complemented
24#37193C214yesmaximal, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36631C211yesmaximal, characteristic, complemented
27#36473C211yesmaximal, characteristic, complemented
28#36472C211yesmaximal, characteristic, complemented
29#36273C211yesmaximal, characteristic, complemented
30#36272C211yesmaximal, characteristic, complemented
31#36271C212yesmaximal, complemented
32#36270C212yesmaximal, complemented
33#35209C212yesmaximal, complemented
34#35198C212yesmaximal, complemented
35C4×#533C211yesmaximal, characteristic, complemented
36#3565—232no—
37C2×#563C2214yes—
38C2×#562C2214yes—
39C2×#557C2212yes—
40C2×#556C2212yes—
41C2×#556C2214yes—
42C2×#555C2212yes—
43C2×#554C2212yes—
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×#552C2212yes—
49C2×#544C2212yes—
50C2×#544C2212yes—
51C2×#542C2212yes—
52C2×#542C2212yes—
53C2×#542C2214yes—
54C2×#542C2214yes—
55C2×#541C2214yes—
56C2×#539C2214yes—
57C2×#533C2211yescharacteristic
58C2×#529C2212yes—
59C2×#529C2212yes—
60#2861C2212yes—
61#2861C2212yes—
62#2860C2212yes—
63#2860C2212yes—
64#2860C2212yes—
65#2860C2211yescharacteristic
66#2860C2211yescharacteristic
67#2860C2212yes—
68#2860C2212yes—
69#2859C2211yescharacteristic
70#2859C2211yescharacteristic
71#2859C2212yes—
72#2858C2211yescharacteristic
73#2858C2211yescharacteristic
74#2858C2212yes—
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2856C2211yescharacteristic
78#2856C2211yescharacteristic
79#2854C2212yes—
80#2854C2212yes—
81#2854C2212yes—
82#2854C2211yescharacteristic
83#2854C2211yescharacteristic
84#2850C2212yes—
85#2850C2212yes—
86#2814C2214yes—
87#2813C2214yes—
88#2731C2214yes—
89#2730C2214yes—
90#2730C2214yes—
91#2730C2214yes—
92#2729C2214yes—
93#2729C2214yes—
94#2729C2214yes—
95#2728C2214yes—
96#2725C2214yes—
97#2716C2214yes—
98#2715C2214yes—
99#2714C2214yes—
100#2713C2214yes—
101#2712C2214yes—
102#2711C2214yes—
103#2707C2214yes—
104#2705C2214yes—
105#2705C2214yes—
106#2704C2214yes—
107#2704C2214yes—
108#2702C2214yes—
109#2696C2214yes—
110#2695C2214yes—
111#2694C2214yes—
112#2693C2214yes—
113#2692C2214yes—
114#2691C2214yes—
115#2691C2214yes—
116#2690C2214yes—
117#2681C2214yes—
118#2676C2214yes—
119#2671C2214yes—
120#2664C2214yes—
121#2664C2214yes—
122#2662C2214yes—
123#2662C2214yes—
124#2630C2214yes—
125#2630C2214yes—
126#2629C2212yes—
127#2629C2212yes—
128#2620C2212yes—
129#2620C2212yes—
130#2611C2214yes—
131#2610C2214yes—
132#2604C2214yes—
133#2603C2214yes—
134#2601C2214yes—
135#2601C2214yes—
136#2601C2214yes—
137#2601C2214yes—
138#2592C2214yes—
139#2581C2212yes—
140#2580C2212yes—
141#2562C2214yes—
142#2560C2214yes—
143#2560C2214yes—
144#2558C2214yes—
145#2558C2214yes—
146#2555C2214yes—
147#2553C2214yes—
148#2552C2211yescharacteristic
149#2552C2212yes—
150#2552C2211yescharacteristic
151#2551C2212yes—
152#2551C2211yescharacteristic
153#2551C2211yescharacteristic
154#2548C2212yes—
155#2548C2212yes—
156#2546C2212yes—
157#2546C2212yes—
158#2545C2214yes—
159#2542C2211yescharacteristic
160#2542C2211yescharacteristic
161#2542C2212yes—
162#2541C2211yescharacteristic
163#2541C2212yes—
164#2541C2211yescharacteristic
165#2538C2212yes—
166#2538C2212yes—
167#2538C2212yes—
168#2538C2212yes—
169#2536C2214yes—
170#2536C2212yes—
171#2535C2212yes—
172#2521C2214yes—
173#2519C2214yes—
174#2519C2214yes—
175#2512C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2506C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2506C2212yes—
183#2496C2212yes—
184#2496C2212yes—
185#2492C2212yes—
186#2491C2212yes—
187#2491C2214yes—
188#2491C2212yes—
189#2491C2212yes—
190#2490C2212yes—
191#2489C2212yes—
192#2489C2214yes—
193#2481C2214yes—
194#2479C2214yes—
195#2477C2214yes—
196#2464C2214yes—
197#2462C2214yes—
198#2461C2214yes—
199#2461C2214yes—
200#2460C2214yes—
201#2458C2214yes—
202#2456C2214yes—
203#2454C2212yes—
204#2453C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2452C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2451C2212yes—
211#2449C2214yes—
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2442C2212yes—
217#2442C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2429C2214yes—
221#2428C2212yes—
222#2428C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2426C2214yes—
226#2426C2212yes—
227#2426C2212yes—
228#2422C2212yes—
229#2422C2212yes—
230#2417C2212yes—
231#2416C2212yes—
232#2415C2212yes—
233#2415C2212yes—
234#2415C2212yes—
235#2414C2212yes—
236#2414C2212yes—
237#2414C2212yes—
238#2367C2214yes—
239#2366C2212yes—
240#2366C2211yescharacteristic
241#2366C2211yescharacteristic
242#2365C2211yescharacteristic
243#2365C2212yes—
244#2365C2211yescharacteristic
245#2363C2212yes—
246#2362C2212yes—
247#2361C2212yes—
248#2360C2212yes—
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2354C2211yescharacteristic
252#2352C2214yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256#2324C2214yes—
257#2323C2214yes—
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2212yes—
293#2293C2212yes—
294#2285C2211yescharacteristic
295C42×Q8C2212yes—
296C42×Q8C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C43C2211yescharacteristic
300#563—232no—
301#562—232no—
302#557—216no—
303#556—232no—
304#556—216no—
305#555—216no—
306#554—216no—
307#553—216no—
308#553—216no—
309#552—216no—
310#552—232no—
311#552—216no—
312#544—216no—
313#544—216no—
314#542—216no—
315#542—216no—
316#542—232no—
317#542—232no—
318#541—232no—
319#539—232no—
320#533D4116yescomplemented
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2314yes—
323C2×C4⋊Q8C2314yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2314yes—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×#127C2311yescharacteristic
333C2×#127C2311yescharacteristic
334C2×#127C2312yes—
335C2×#127C2312yes—
336#529—216no—
337#529—216no—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2312yes—
341C2×#126C2312yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125C2314yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2314yes—
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#124C2314yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×C4×Q8C2314yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2314yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×#117C2314yes—
445C2×#117C2314yes—
446C2×#117C2314yes—
447C2×#117C2314yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C22×C4⋊C4C2314yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
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#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822#376C2312yes—
823#376C2312yes—
824C43C2311yescharacteristic
825C43C2311yescharacteristic
826C43C2312yes—
827C43C2311yescharacteristic
828C43C2311yescharacteristic
829C43C2312yes—
830C43C2311yescharacteristic
831C43C2311yescharacteristic
832C43C2311yescharacteristic
833C43C2311yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C4⋊Q8—216no—
869C4⋊Q8—216no—
870C4⋊Q8—216no—
871C4⋊Q8—28no—
872C4⋊Q8—28no—
873C4⋊Q8—24no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8C2×D418yes—
878C4⋊Q8C2×D418yes—
879#127—24no—
880#127—42no—
881#127—44no—
882#127—44no—
883#126—216no—
884#126—216no—
885#126—216no—
886#126—216no—
887#126—216no—
888#126—216no—
889#126—216no—
890#126—28no—
891#126—28no—
892#126—216no—
893#126—216no—
894#125—216no—
895#125—216no—
896#125—216no—
897#125—216no—
898#125—28no—
899#125—216no—
900#125—28no—
901#125—28no—
902#125—28no—
903#125—216no—
904#125C2×D418yes—
905#125C2×D418yes—
906#124—216no—
907#124—216no—
908#124—216no—
909#124—216no—
910#124—28no—
911#124—28no—
912#124—216no—
913#124—44no—
914#124—48no—
915#124—44no—
916#123—28no—
917#123—28no—
918#123—216no—
919#123—216no—
920#123—216no—
921#123—216no—
922#123—216no—
923#123—216no—
924#123—216no—
925C22⋊Q8—216no—
926C22⋊Q8—216no—
927C22⋊Q8—216no—
928C22⋊Q8—216no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—216no—
932C22⋊Q8—216no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—216no—
936C22⋊Q8—216no—
937C22⋊Q8—216no—
938C22⋊Q8—48no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8C2×D4116yes—
942C22⋊Q8C2×D4116yes—
943#121—28no—
944#121—28no—
945#121—28no—
946#121—28no—
947#121—216no—
948#121—216no—
949#121—216no—
950#121—44no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—42no—
955#121—44no—
956#121—44no—
957#121—42no—
958C4×Q8—28no—
959C4×Q8—216no—
960C4×Q8—28no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—216no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×Q8C2×D4116yes—
969C4×Q8C2×D4116yes—
970C4×D4—216no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—216no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—216no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989#117—216no—
990#117—28no—
991#117—28no—
992#117—28no—
993#117—28no—
994#117—216no—
995#117—216no—
996#117—216no—
997#117—42no—
998#117—42no—
999#117C2×D418yes—
1000#117C2×D418yes—
1001C2×C4⋊C4—216no—
1002C2×C4⋊C4—28no—
1003C2×C4⋊C4—28no—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C42—24no—
1137C2×C42—42no—
1138C2×C42—42no—
1139C2×C42—42no—
1140C2×C42—42no—
1141C2×C42—42no—
1142C2×C42C2×D418yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
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×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2514yes—
1243C24C2511yescharacteristic
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—28no—
1247C2×Q8—28no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—44no—
1255C2×Q8—42no—
1256C2×Q8—44no—
1257C2×Q8—42no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8C22×D418yes—
1261C2×Q8C22×D418yes—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C22×D414yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4C22×D418yes—
1443C4⋊C4C22×D414yes—
1444C4⋊C4C22×D414yes—
1445C4⋊C4C22×D414yes—
1446C4⋊C4C22×D414yes—
1447C4⋊C4C22×D418yes—
1448C4⋊C4C22×D418yes—
1449C4⋊C4C22×D418yes—
1450C4⋊C4C22×D418yes—
1451C4⋊C4C22×D418yes—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4C22×D418yes—
1508C22⋊C4C22×D418yes—
1509C42—28no—
1510C42—28no—
1511C42—24no—
1512C42—24no—
1513C42—28no—
1514C42—28no—
1515C42—28no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42—41no—
1540C42—41no—
1541C42—41no—
1542C42—41no—
1543C42—41no—
1544C42—41no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—42no—
1549C42C22×D414yes—
1550C42C22×D414yes—
1551C42C22×D414yes—
1552C42C22×D414yes—
1553C42C22×D418yes—
1554C42C22×D418yes—
1555C422−1+414yes—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—24no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23C23×D412yes—
1584C23C2611yescharacteristic
1585Q8—48no—
1586Q8—48no—
1587Q8—48no—
1588Q8—84no—
1589Q8—88no—
1590Q8—88no—
1591D4—48no—
1592D4—44no—
1593D4—44no—
1594D4—48no—
1595D4—84no—
1596D4—88no—
1597D4—88no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—88no—
1602D4—84no—
1603D4—88no—
1604D4—164no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—28no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4C23×D412yes—
1695C2×C4C23×D414yes—
1696C2×C4C23×D414yes—
1697C2×C4C23×D414yes—
1698C2×C4C23×D412yes—
1699C2×C4C23×D412yes—
1700C2×C4C23×D412yes—
1701C2×C4C23×D412yes—
1702C2×C4C23×D414yes—
1703C2×C4C23×D412yes—
1704C2×C4C2×2−1+412yes—
1705C2×C4C2×2−1+412yes—
1706C2×C4C2×2−1+412yes—
1707C2×C4#58512yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C2×C4#58512yes—
1711C2×C4#58512yes—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—44no—
1722C22—42no—
1723C22—44no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—44no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22C24×D411yescharacteristic
1741C22C22×2−1+411yescharacteristic
1742C22C2×#58511yescharacteristic
1743C22C2×#58511yescharacteristic
1744C22C2×#58511yescharacteristic
1745C22C2×#58511yescharacteristic
1746C22C2×#58511yescharacteristic
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—24no—
1753C4—24no—
1754C4—24no—
1755C4—24no—
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—41no—
1760C4—42no—
1761C4—41no—
1762C4—41no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4—44no—
1769C4—42no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4#349714yes—
1777C4#356514yescomplemented
1778C2—42no—
1779C2—82no—
1780C2—84no—
1781C2—82no—
1782C2C2×#356511yescharacteristic
1783C2#6276211yescharacteristic
1784C2C2×#349711yescharacteristic
1785C2#6281211yescharacteristic
1786C2#6281211yescharacteristic
1787C2#6282711yescharacteristic
1788C2#6283111yescharacteristic
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. C2×#3565C2semidirect
2. #59680C2semidirect
3. #59667C2semidirect
4. #59658C2semidirect
5. #59586C2semidirect
6. #59458C2semidirect
7. #59444C2semidirect
8. #45485C2semidirect
9. #45484C2semidirect
10. #45481C2semidirect
11. #39963C2semidirect
12. #39962C2semidirect
13. #39425C2semidirect
14. #39424C2semidirect
15. #39411C2semidirect
16. #39409C2semidirect
17. #39393C2semidirect
18. #39387C2semidirect
19. #39387C2semidirect
20. #39370C2semidirect
21. #39370C2semidirect
22. #38431C2semidirect
23. #37553C2semidirect
24. #37193C2semidirect
25. #36631C2semidirect
26. #36631C2semidirect
27. #36473C2semidirect
28. #36472C2semidirect
29. #36273C2semidirect
30. #36272C2semidirect
31. #36271C2semidirect
32. #36270C2semidirect
33. #35209C2semidirect
34. #35198C2semidirect
35. C4×#533C2semidirect
320. #533D4semidirect
1777. C4#3565semidirect

Maximal subgroups

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

subgroupindex
C2×#35652
#596802
#596672
#596582
#595862
#594582
#594442
#454852
#454842
#454812
#399632
#399622
#394252
#394242
#394112
#394092
#393932
#393872
#393702
#384312
#375532
#371932
#366312
#364732
#364722
#362732
#362722
#362712
#362702
#352092
#351982
C4×#5332