Finite Group Databasebeta

← #7710287

Subgroups — #7710287

Order 512.

6672 conjugacy classes of subgroups.

The subgroup lattice has 1651 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3568C212yesmaximal, complemented
2#59845C214yesmaximal, complemented
3#59711C212yesmaximal, complemented
4#59476C212yesmaximal, complemented
5#46239C212yesmaximal, complemented
6#46237C212yesmaximal, complemented
7#46147C211yesmaximal, characteristic, complemented
8#45998C211yesmaximal, characteristic, complemented
9#45998C211yesmaximal, characteristic, complemented
10#45996C211yesmaximal, characteristic, complemented
11#39947C214yesmaximal, complemented
12#39455C212yesmaximal, complemented
13#39452C212yesmaximal, complemented
14#39411C212yesmaximal, complemented
15#39408C212yesmaximal, complemented
16#39403C212yesmaximal, complemented
17#39401C212yesmaximal, complemented
18#39389C214yesmaximal, complemented
19#38435C212yesmaximal, complemented
20#38432C212yesmaximal, complemented
21#37541C212yesmaximal, complemented
22#36745C214yesmaximal, complemented
23#36631C211yesmaximal, characteristic, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36473C212yesmaximal, complemented
26#36271C212yesmaximal, complemented
27#36264C212yesmaximal, complemented
28#36262C212yesmaximal, complemented
29#35170C212yesmaximal, complemented
30#35007C212yesmaximal, complemented
31C4×#529C211yesmaximal, characteristic, complemented
32#3568—232no—
33C2×#563C2212yes—
34C2×#563C2212yescomplemented
35C2×#563C2212yescomplemented
36C2×H(3,𝔽4)C2212yes—
37C2×#556C2214yescomplemented
38C2×#556C2214yescomplemented
39C2×#556C2214yescomplemented
40C2×#551C2214yes—
41C2×#551C2214yescomplemented
42C2×#551C2214yescomplemented
43C2×#542C2214yescomplemented
44C2×#542C2214yescomplemented
45C2×#542C2214yescomplemented
46C2×#538C2214yes—
47C2×#538C2214yescomplemented
48C2×#538C2214yescomplemented
49C2×#529C2211yescharacteristic
50C2×#529C2212yescomplemented
51C2×#529C2212yescomplemented
52#2861C2212yescomplemented
53#2861C2212yescomplemented
54#2860C2212yescomplemented
55#2860C2212yescomplemented
56#2860C2212yescomplemented
57#2860C2212yescomplemented
58#2860C2212yescomplemented
59#2859C2211yescharacteristic, complemented
60#2859C2211yescharacteristic, complemented
61#2858C2211yescharacteristic
62#2858C2211yescharacteristic
63#2858C2212yes—
64#2857C2211yescharacteristic, complemented
65#2857C2211yescharacteristic, complemented
66#2857C2212yescomplemented
67#2856C2211yescharacteristic
68#2856C2211yescharacteristic
69#2854C2212yes—
70#2854C2212yescomplemented
71#2854C2212yescomplemented
72#2854C2212yescomplemented
73#2854C2212yescomplemented
74#2850C2212yescomplemented
75#2850C2212yescomplemented
76#2822C2212yescomplemented
77#2820C2212yescomplemented
78#2820C2212yescomplemented
79#2819C2212yes—
80#2734C2212yescomplemented
81#2733C2212yes—
82#2731C2214yescomplemented
83#2727C2212yescomplemented
84#2727C2212yescomplemented
85#2724C2212yes—
86#2723C2214yescomplemented
87#2723C2214yescomplemented
88#2716C2214yescomplemented
89#2716C2214yescomplemented
90#2715C2214yescomplemented
91#2712C2214yescomplemented
92#2702C2214yescomplemented
93#2702C2214yescomplemented
94#2700C2214yescomplemented
95#2700C2214yescomplemented
96#2698C2214yescomplemented
97#2698C2214yescomplemented
98#2697C2214yes—
99#2696C2214yescomplemented
100#2696C2214yescomplemented
101#2691C2214yescomplemented
102#2688C2214yes—
103#2686C2214yescomplemented
104#2685C2214yescomplemented
105#2685C2214yescomplemented
106#2684C2214yescomplemented
107#2683C2212yescomplemented
108#2683C2212yescomplemented
109#2679C2212yes—
110#2676C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2670C2214yes—
114#2670C2214yes—
115#2668C2214yescomplemented
116#2663C2214yescomplemented
117#2663C2214yescomplemented
118#2662C2214yescomplemented
119#2661C2214yescomplemented
120#2638C2214yescomplemented
121#2635C2214yescomplemented
122#2630C2214yescomplemented
123#2630C2214yescomplemented
124#2610C2214yescomplemented
125#2604C2214yescomplemented
126#2604C2214yescomplemented
127#2603C2214yescomplemented
128#2602C2214yes—
129#2601C2214yescomplemented
130#2601C2214yescomplemented
131#2601C2214yescomplemented
132#2599C2214yescomplemented
133#2598C2214yescomplemented
134#2592C2214yescomplemented
135#2561C2214yescomplemented
136#2560C2214yescomplemented
137#2560C2214yescomplemented
138#2560C2214yescomplemented
139#2557C2214yes—
140#2555C2214yescomplemented
141#2554C2214yescomplemented
142#2554C2214yescomplemented
143#2551C2212yescomplemented
144#2551C2212yescomplemented
145#2548C2212yes—
146#2547C2212yescomplemented
147#2546C2212yescomplemented
148#2545C2214yescomplemented
149#2542C2212yescomplemented
150#2542C2212yescomplemented
151#2537C2212yes—
152#2534C2214yes—
153#2521C2214yescomplemented
154#2521C2214yescomplemented
155#2521C2214yescomplemented
156#2521C2214yescomplemented
157#2512C2212yescomplemented
158#2512C2212yescomplemented
159#2512C2212yescomplemented
160#2512C2212yescomplemented
161#2512C2212yescomplemented
162#2496C2212yescomplemented
163#2496C2212yescomplemented
164#2496C2212yescomplemented
165#2496C2212yescomplemented
166#2492C2214yescomplemented
167#2492C2214yescomplemented
168#2491C2212yes—
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2486C2212yes—
175#2480C2214yescomplemented
176#2477C2214yescomplemented
177#2474C2214yescomplemented
178#2472C2214yescomplemented
179#2472C2214yescomplemented
180#2472C2214yescomplemented
181#2472C2214yescomplemented
182#2471C2214yescomplemented
183#2470C2214yescomplemented
184#2469C2214yescomplemented
185#2467C2214yescomplemented
186#2466C2214yescomplemented
187#2465C2214yescomplemented
188#2465C2214yescomplemented
189#2463C2214yescomplemented
190#2461C2214yescomplemented
191#2459C2214yes—
192#2458C2214yescomplemented
193#2452C2212yescomplemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2452C2212yescomplemented
197#2445C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2440C2212yescomplemented
201#2440C2212yescomplemented
202#2433C2212yes—
203#2433C2212yes—
204#2428C2212yes—
205#2427C2214yescomplemented
206#2424C2214yescomplemented
207#2422C2212yes—
208#2418C2214yescomplemented
209#2416C2212yes—
210#2415C2214yescomplemented
211#2411C2214yescomplemented
212#2408C2212yes—
213#2408C2212yescomplemented
214#2367C2214yescomplemented
215#2366C2212yes—
216#2365C2212yescomplemented
217#2365C2212yescomplemented
218#2362C2214yescomplemented
219#2361C2212yes—
220#2358C2214yescomplemented
221#2354C2212yescomplemented
222#2344C2212yescomplemented
223#2342C2214yescomplemented
224D4×C22⋊C4C2212yescomplemented
225D4×C22⋊C4C2212yescomplemented
226#2323C2214yescomplemented
227#2321C2214yescomplemented
228C4×C4⋊Q8C2211yescharacteristic, complemented
229C4×C4⋊Q8C2211yescharacteristic, complemented
230C4×C4⋊Q8C2212yescomplemented
231C4×#127C2211yescharacteristic
232C4×#127C2211yescharacteristic
233C4×#125C2211yescharacteristic, complemented
234C4×#125C2211yescharacteristic, complemented
235C4×#126C2212yescomplemented
236C4×#126C2212yescomplemented
237C4×#124C2211yescharacteristic
238C4×#124C2211yescharacteristic
239C4×#124C2212yescomplemented
240C4×#124C2212yescomplemented
241C4×C22⋊Q8C2211yescharacteristic, complemented
242C4×C22⋊Q8C2211yescharacteristic, complemented
243C4×#123C2212yescomplemented
244C4×#123C2212yescomplemented
245C4×#121C2211yescharacteristic
246C4×#121C2212yes—
247C4×#121C2211yescharacteristic
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252#2298C2212yescomplemented
253#2295C2211yescharacteristic, complemented
254#2293C2211yescharacteristic
255#2293C2212yescomplemented
256#2293C2212yescomplemented
257#2293C2212yescomplemented
258#2293C2212yescomplemented
259#2293C2212yescomplemented
260C2×#390C2212yescomplemented
261#2290C2212yescomplemented
262#2283C2211yescharacteristic, complemented
263C42×Q8C2211yescharacteristic, complemented
264C42×D4C2211yescharacteristic
265C42×D4C2212yescomplemented
266C4×#117C2212yescomplemented
267C2×C43C2211yescharacteristic, complemented
268C23×D4C2312yes—
269#563—216no—
270#563—216no—
271#563—216no—
272H(3,𝔽4)—216no—
273#556—232no—
274#556—232no—
275#556—232no—
276#551—232no—
277#551—232no—
278#551—232no—
279#542—232no—
280#542—232no—
281#542—232no—
282#538—232no—
283#538—232no—
284#538—232no—
285C2×C4⋊Q8C2314yes—
286C2×C4⋊Q8C2314yes—
287C2×C4⋊Q8C2314yes—
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×#127C2311yescharacteristic
294C2×#127C2311yescharacteristic
295C2×#127C2312yes—
296#529—216no—
297#529—216no—
298#529D4116yescomplemented
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#124C2314yes—
319C2×#124C2314yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2311yescharacteristic
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2314yes—
375C2×C4×Q8C2314yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2314yes—
409C22×C22⋊C4C2314yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#383C2312yes—
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2312yes—
679#381C2314yes—
680#381C2314yes—
681#381C2312yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2312yes—
743#376C2312yes—
744#376C2312yes—
745C43C2311yescharacteristic
746C43C2311yescharacteristic
747C43C2311yescharacteristic
748C43C2311yescharacteristic
749C43C2311yescharacteristic
750C43C2312yes—
751C43C2311yescharacteristic
752C43C2311yescharacteristic
753C43C2311yescharacteristic
754C25C2414yes—
755C22×Q8C2414yes—
756C22×Q8C2414yes—
757C22×Q8C2414yes—
758C22×Q8C2412yes—
759C22×Q8C2412yes—
760C22×Q8C2411yescharacteristic
761C22×D4—44no—
762C22×D4—44no—
763C22×D4—44no—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2411yescharacteristic
778C22×D4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C4⋊Q8—216no—
795C4⋊Q8—216no—
796C4⋊Q8—216no—
797C4⋊Q8—44no—
798C4⋊Q8—42no—
799C4⋊Q8—42no—
800C4⋊Q8—44no—
801C4⋊Q8—44no—
802#127—42no—
803#127—42no—
804#127—44no—
805#126—216no—
806#126—216no—
807#126—216no—
808#126—216no—
809#126—216no—
810#126—216no—
811#126—216no—
812#126—216no—
813#126—216no—
814#126—216no—
815#126—216no—
816#126—216no—
817#126C2×D4116yescomplemented
818#125—28no—
819#125—28no—
820#125C2×D418yescomplemented
821#124—216no—
822#124—216no—
823#124—216no—
824#124—216no—
825#124—216no—
826#124—216no—
827#124—216no—
828#124—216no—
829#124—28no—
830#124—28no—
831#124—216no—
832#124—44no—
833#124—44no—
834#124—48no—
835#124C2×D418yes—
836#123—216no—
837#123—216no—
838#123—216no—
839#123—216no—
840#123—216no—
841#123—216no—
842#123—216no—
843#123—216no—
844#123C2×D4116yescomplemented
845C22⋊Q8—28no—
846C22⋊Q8—28no—
847C22⋊Q8—216no—
848C22⋊Q8—216no—
849C22⋊Q8—216no—
850C22⋊Q8—216no—
851C22⋊Q8—216no—
852C22⋊Q8—216no—
853C22⋊Q8—216no—
854C22⋊Q8—216no—
855C22⋊Q8—216no—
856C22⋊Q8—48no—
857C22⋊Q8—48no—
858C22⋊Q8C2×D418yescomplemented
859#121—216no—
860#121—216no—
861#121—28no—
862#121—28no—
863#121—216no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121C2×D418yes—
871#120—216no—
872#120—216no—
873#120—216no—
874#120—216no—
875#120—48no—
876#120—48no—
877C4×Q8—216no—
878C4×Q8—216no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—216no—
882C4×Q8—42no—
883C4×Q8—42no—
884C4×Q8C2×D418yescomplemented
885C4×D4—216no—
886C4×D4—216no—
887C4×D4—216no—
888C4×D4—216no—
889C4×D4—216no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4C2×D418yes—
903C4×D4C2×D4116yescomplemented
904#117—216no—
905#117—216no—
906#117—216no—
907#117—216no—
908#117—216no—
909#117—44no—
910#117C2×D4116yescomplemented
911C2×C4⋊C4—44no—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C22⋊C4—216no—
965C2×C22⋊C4—216no—
966C2×C22⋊C4—216no—
967C2×C22⋊C4—48no—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C42—44no—
1028C2×C42—42no—
1029C2×C42—42no—
1030C2×C42—42no—
1031C2×C42—42no—
1032C2×C42—42no—
1033C2×C42—42no—
1034C2×C42C2×D418yescomplemented
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122C24—28no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24C2514yes—
1130C24C2514yes—
1131C24C2512yes—
1132C24C2511yescharacteristic
1133C2×Q8—28no—
1134C2×Q8—28no—
1135C2×Q8—28no—
1136C2×Q8—24no—
1137C2×Q8—24no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8C22×D414yes—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—816no—
1195C2×D4C22×D414yes—
1196C2×D4C22×D418yes—
1197C22×C4—28no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—28no—
1211C22×C4—24no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4C22×D414yes—
1239C22×C4C22×D414yes—
1240C22×C4C22×D414yes—
1241C22×C4C22×D418yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4C22×D418yes—
1316C4⋊C4C22×D418yes—
1317C4⋊C4C22×D418yes—
1318C4⋊C4C22×D414yes—
1319C4⋊C4C22×D418yes—
1320C4⋊C4C22×D414yes—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4C22×D418yes—
1376C22⋊C4C22×D418yes—
1377C22⋊C4C22×D418yes—
1378C22⋊C4C22×D418yes—
1379C22⋊C4C22×D418yes—
1380C42—28no—
1381C42—28no—
1382C42—28no—
1383C42—28no—
1384C42—28no—
1385C42—28no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—41no—
1403C42—42no—
1404C42—41no—
1405C42—41no—
1406C42—42no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—42no—
1417C42—42no—
1418C42C22×D414yes—
1419C42C22×D414yes—
1420C42C22×D414yes—
1421C42C22×D414yes—
1422C42C22×D418yes—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—24no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—24no—
1444C23—24no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—164no—
1455C23—164no—
1456C23C23×D414yes—
1457C23C23×D412yes—
1458C23C2611yescharacteristic
1459Q8—44no—
1460Q8—88no—
1461Q8—84no—
1462Q8—84no—
1463Q8—88no—
1464Q8—88no—
1465D4—44no—
1466D4—48no—
1467D4—48no—
1468D4—48no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—88no—
1473D4—84no—
1474D4—88no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—164no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—88no—
1556C2×C4—88no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—84no—
1560C2×C4—88no—
1561C2×C4C23×D412yes—
1562C2×C4C23×D412yes—
1563C2×C4C23×D414yes—
1564C2×C4C23×D414yes—
1565C2×C4C23×D414yes—
1566C2×C4C23×D412yes—
1567C2×C4C23×D412yes—
1568C2×C4C23×D412yes—
1569C2×C4C23×D412yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C2×C4#58512yes—
1573C2×C4#58512yes—
1574C2×C4#58512yes—
1575C2×C4#58512yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—24no—
1580C22—24no—
1581C22—24no—
1582C22—41no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—41no—
1587C22—42no—
1588C22—41no—
1589C22—42no—
1590C22—44no—
1591C22—44no—
1592C22—44no—
1593C22—44no—
1594C22—44no—
1595C22—44no—
1596C22—44no—
1597C22—44no—
1598C22—44no—
1599C22—44no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—1616no—
1605C22C24×D411yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—24no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—24no—
1621C4—24no—
1622C4—22no—
1623C4—22no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—44no—
1629C4—44no—
1630C4—44no—
1631C4—44no—
1632C4—44no—
1633C4—44no—
1634C4—42no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4#356814yescomplemented
1639C2—42no—
1640C2—44no—
1641C2—84no—
1642C2—84no—
1643C2C2×#356811yescharacteristic
1644C2#6274311yescharacteristic
1645C2#6281211yescharacteristic
1646C2#6281211yescharacteristic
1647C2#6281211yescharacteristic
1648C2#6282811yescharacteristic
1649C2#6284111yescharacteristic
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×#3568C2semidirect
2. #59845C2semidirect
3. #59711C2semidirect
4. #59476C2semidirect
5. #46239C2semidirect
6. #46237C2semidirect
7. #46147C2semidirect
8. #45998C2semidirect
9. #45998C2semidirect
10. #45996C2semidirect
11. #39947C2semidirect
12. #39455C2semidirect
13. #39452C2semidirect
14. #39411C2semidirect
15. #39408C2semidirect
16. #39403C2semidirect
17. #39401C2semidirect
18. #39389C2semidirect
19. #38435C2semidirect
20. #38432C2semidirect
21. #37541C2semidirect
22. #36745C2semidirect
23. #36631C2semidirect
24. #36631C2semidirect
25. #36473C2semidirect
26. #36271C2semidirect
27. #36264C2semidirect
28. #36262C2semidirect
29. #35170C2semidirect
30. #35007C2semidirect
31. C4×#529C2semidirect
34. C2×#563C22semidirect
35. C2×#563C22semidirect
37. C2×#556C22semidirect
38. C2×#556C22semidirect
39. C2×#556C22semidirect
41. C2×#551C22semidirect
42. C2×#551C22semidirect
43. C2×#542C22semidirect
44. C2×#542C22semidirect
45. C2×#542C22semidirect
47. C2×#538C22semidirect
48. C2×#538C22semidirect
50. C2×#529C22semidirect
51. C2×#529C22semidirect
52. #2861C22semidirect
53. #2861C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2860C22semidirect
57. #2860C22semidirect
58. #2860C22semidirect
59. #2859C22semidirect
60. #2859C22semidirect
64. #2857C22semidirect
65. #2857C22semidirect
66. #2857C22semidirect
70. #2854C22semidirect
71. #2854C22semidirect
72. #2854C22semidirect
73. #2854C22semidirect
74. #2850C22semidirect
75. #2850C22semidirect
76. #2822C22semidirect
77. #2820C22semidirect
78. #2820C22semidirect
80. #2734C22semidirect
82. #2731C22semidirect
83. #2727C22semidirect
84. #2727C22semidirect
86. #2723C22semidirect
87. #2723C22semidirect
88. #2716C22semidirect
89. #2716C22semidirect
90. #2715C22semidirect
91. #2712C22semidirect
92. #2702C22semidirect
93. #2702C22semidirect
94. #2700C22semidirect
95. #2700C22semidirect
96. #2698C22semidirect
97. #2698C22semidirect
99. #2696C22semidirect
100. #2696C22semidirect
101. #2691C22semidirect
103. #2686C22semidirect
104. #2685C22semidirect
105. #2685C22semidirect
106. #2684C22semidirect
107. #2683C22semidirect
108. #2683C22semidirect
110. #2676C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
115. #2668C22semidirect
116. #2663C22semidirect
117. #2663C22semidirect
118. #2662C22semidirect
119. #2661C22semidirect
120. #2638C22semidirect
121. #2635C22semidirect
122. #2630C22semidirect
123. #2630C22semidirect
124. #2610C22semidirect
125. #2604C22semidirect
126. #2604C22semidirect
127. #2603C22semidirect
129. #2601C22semidirect
130. #2601C22semidirect
131. #2601C22semidirect
132. #2599C22semidirect
133. #2598C22semidirect
134. #2592C22semidirect
135. #2561C22semidirect
136. #2560C22semidirect
137. #2560C22semidirect
138. #2560C22semidirect
140. #2555C22semidirect
141. #2554C22semidirect
142. #2554C22semidirect
143. #2551C22semidirect
144. #2551C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
148. #2545C22semidirect
149. #2542C22semidirect
150. #2542C22semidirect
153. #2521C22semidirect
154. #2521C22semidirect
155. #2521C22semidirect
156. #2521C22semidirect
157. #2512C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2496C22semidirect
163. #2496C22semidirect
164. #2496C22semidirect
165. #2496C22semidirect
166. #2492C22semidirect
167. #2492C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
175. #2480C22semidirect
176. #2477C22semidirect
177. #2474C22semidirect
178. #2472C22semidirect
179. #2472C22semidirect
180. #2472C22semidirect
181. #2472C22semidirect
182. #2471C22semidirect
183. #2470C22semidirect
184. #2469C22semidirect
185. #2467C22semidirect
186. #2466C22semidirect
187. #2465C22semidirect
188. #2465C22semidirect
189. #2463C22semidirect
190. #2461C22semidirect
192. #2458C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
205. #2427C22semidirect
206. #2424C22semidirect
208. #2418C22semidirect
210. #2415C22semidirect
211. #2411C22semidirect
213. #2408C22semidirect
214. #2367C22semidirect
216. #2365C22semidirect
217. #2365C22semidirect
218. #2362C22semidirect
220. #2358C22semidirect
221. #2354C22semidirect
222. #2344C22semidirect
223. #2342C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2323C22semidirect
227. #2321C22semidirect
228. C4×C4⋊Q8C22semidirect
229. C4×C4⋊Q8C22semidirect
230. C4×C4⋊Q8C22semidirect
233. C4×#125C22semidirect
234. C4×#125C22semidirect
235. C4×#126C22semidirect
236. C4×#126C22semidirect
239. C4×#124C22semidirect
240. C4×#124C22semidirect
241. C4×C22⋊Q8C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×#123C22semidirect
244. C4×#123C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2298C22semidirect
253. #2295C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
257. #2293C22semidirect
258. #2293C22semidirect
259. #2293C22semidirect
260. C2×#390C22semidirect
261. #2290C22semidirect
262. #2283C22semidirect
263. C42×Q8C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect
267. C2×C43C22semidirect
298. #529D4semidirect
817. #126C2×D4semidirect
820. #125C2×D4semidirect
844. #123C2×D4semidirect
858. C22⋊Q8C2×D4semidirect
884. C4×Q8C2×D4semidirect
903. C4×D4C2×D4semidirect
910. #117C2×D4semidirect
1034. C2×C42C2×D4semidirect
1638. C4#3568semidirect

Maximal subgroups

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

subgroupindex
C2×#35682
#598452
#597112
#594762
#462392
#462372
#461472
#459982
#459962
#399472
#394552
#394522
#394112
#394082
#394032
#394012
#393892
#384352
#384322
#375412
#367452
#366312
#364732
#362712
#362642
#362622
#351702
#350072
C4×#5292