Finite Group Databasebeta

← #7689599

Subgroups — #7689599

Order 512.

7085 conjugacy classes of subgroups.

The subgroup lattice has 1906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59815C211yesmaximal, characteristic, complemented
5#59159C214yesmaximal, complemented
6#59140C212yesmaximal, complemented
7#59053C212yesmaximal, complemented
8#59040C211yesmaximal, characteristic, complemented
9#59034C211yesmaximal, characteristic, complemented
10#59034C212yesmaximal, complemented
11#45387C212yesmaximal, complemented
12#45243C212yesmaximal, complemented
13#44637C214yesmaximal, complemented
14#44635C214yesmaximal, complemented
15#39950C212yesmaximal, complemented
16#39858C212yesmaximal, complemented
17#39618C211yesmaximal, characteristic, complemented
18#39124C211yesmaximal, characteristic, complemented
19#37829C214yesmaximal, complemented
20#37765C212yesmaximal, complemented
21#36534C211yesmaximal, characteristic, complemented
22#36504C211yesmaximal, characteristic, complemented
23#36492C211yesmaximal, characteristic, complemented
24#36492C211yesmaximal, characteristic, complemented
25#36232C212yesmaximal, complemented
26#36228C212yesmaximal, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36112C212yesmaximal, complemented
29#36065C212yesmaximal, complemented
30#36019C212yesmaximal, complemented
31#34727C211yesmaximal, characteristic, complemented
32#34708C212yesmaximal, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34295C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3515—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#556C2212yes—
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#553C2212yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#552C2214yes—
47C2×#552C2212yes—
48C2×#552C2214yes—
49C2×#550C2211yescharacteristic
50C2×#550C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2212yes—
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#547C2211yescharacteristic
57C2×#541C2212yes—
58C2×#539C2214yes—
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2212yes—
62C2×#529C2212yes—
63C2×#529C2214yes—
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C22×#125C2212yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2212yes—
73#2862C2211yescharacteristic
74#2861C2212yes—
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2852C2214yes—
78#2851C2212yes—
79#2851C2212yes—
80#2850C2212yes—
81#2723C2214yes—
82#2723C2214yes—
83#2721C2214yes—
84#2720C2214yes—
85#2719C2214yes—
86#2714C2214yes—
87#2711C2214yes—
88#2707C2214yes—
89#2705C2214yes—
90#2696C2214yes—
91#2696C2214yes—
92#2696C2214yes—
93#2696C2214yes—
94#2694C2214yes—
95#2692C2214yes—
96#2692C2214yes—
97#2682C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2662C2214yes—
103#2660C2212yes—
104#2631C2214yes—
105#2628C2212yes—
106#2610C2214yes—
107#2610C2214yes—
108#2604C2214yes—
109#2603C2214yes—
110#2599C2214yes—
111#2598C2214yes—
112#2566C2212yes—
113#2565C2212yes—
114#2563C2211yescharacteristic
115#2563C2211yescharacteristic
116#2563C2212yes—
117#2563C2212yes—
118#2562C2212yes—
119#2562C2212yes—
120#2560C2214yes—
121#2560C2214yes—
122#2558C2214yes—
123#2554C2214yes—
124#2554C2214yes—
125#2554C2214yes—
126#2547C2211yescharacteristic
127#2544C2212yes—
128#2542C2211yescharacteristic
129#2541C2212yes—
130#2540C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2538C2212yes—
134#2538C2212yes—
135#2537C2211yescharacteristic
136#2537C2211yescharacteristic
137#2536C2212yes—
138#2536C2212yes—
139#2536C2212yes—
140#2536C2212yes—
141#2536C2212yes—
142#2535C2212yes—
143#2535C2212yes—
144#2535C2212yes—
145#2519C2214yes—
146#2519C2214yes—
147#2490C2212yes—
148#2490C2214yes—
149#2489C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2481C2214yes—
153#2481C2214yes—
154#2481C2214yes—
155#2479C2214yes—
156#2479C2214yes—
157#2479C2212yes—
158#2477C2214yes—
159#2477C2214yes—
160#2475C2214yes—
161#2475C2214yes—
162#2473C2214yes—
163#2471C2214yes—
164#2471C2212yes—
165#2471C2214yes—
166#2469C2214yes—
167#2467C2212yes—
168#2467C2214yes—
169#2467C2214yes—
170#2467C2214yes—
171#2463C2214yes—
172#2463C2214yes—
173#2462C2214yes—
174#2460C2214yes—
175#2458C2214yes—
176#2458C2214yes—
177#2458C2214yes—
178#2456C2214yes—
179#2456C2212yes—
180#2454C2211yescharacteristic
181#2453C2212yes—
182#2453C2212yes—
183#2448C2211yescharacteristic
184#2445C2214yes—
185#2443C2214yes—
186#2443C2214yes—
187#2443C2214yes—
188#2443C2214yes—
189#2442C2214yes—
190#2442C2212yes—
191#2441C2211yescharacteristic
192#2436C2212yes—
193#2431C2211yescharacteristic
194#2428C2211yescharacteristic
195#2426C2212yes—
196#2423C2212yes—
197#2423C2212yes—
198#2423C2211yescharacteristic
199#2421C2212yes—
200#2421C2212yes—
201#2421C2212yes—
202#2421C2212yes—
203#2421C2212yes—
204#2417C2212yes—
205#2417C2212yes—
206#2417C2212yes—
207#2416C2212yes—
208#2416C2212yes—
209#2415C2212yes—
210#2415C2212yes—
211#2414C2212yes—
212#2414C2214yes—
213#2414C2211yescharacteristic
214#2409C2212yes—
215#2409C2212yes—
216#2409C2212yes—
217#2407C2211yescharacteristic
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2398C2214yes—
226#2397C2212yes—
227#2396C2214yes—
228#2392C2212yes—
229#2371C2214yes—
230#2370C2212yes—
231#2366C2214yes—
232#2366C2212yes—
233#2366C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2214yes—
239#2363C2211yescharacteristic
240#2363C2211yescharacteristic
241#2363C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2361C2212yes—
245#2361C2214yes—
246#2361C2212yes—
247#2360C2212yes—
248#2356C2212yes—
249#2356C2212yes—
250#2355C2211yescharacteristic
251#2355C2211yescharacteristic
252#2354C2212yes—
253#2354C2211yescharacteristic
254#2354C2212yes—
255#2352C2214yes—
256#2352C2212yes—
257#2352C2214yes—
258#2352C2212yes—
259#2352C2212yes—
260#2352C2212yes—
261#2352C2212yes—
262#2351C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2212yes—
265#2341C2211yescharacteristic
266#2341C2211yescharacteristic
267#2341C2212yes—
268#2341C2212yes—
269#2336C2214yes—
270#2328C2212yes—
271#2328C2214yes—
272#2327C2212yes—
273#2324C2214yes—
274#2324C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2212yes—
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#125C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2214yes—
291C4×#121C2211yescharacteristic
292#2295C2212yes—
293#2295C2211yescharacteristic
294#2290C2214yes—
295#2290C2214yes—
296#2290C2212yes—
297#2276C2212yes—
298C42×Q8C2211yescharacteristic
299C42×D4C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2312yes—
307#557D4116yescomplemented
308#556—28no—
309#556—216no—
310#554—28no—
311#554—28no—
312#553—216no—
313#552—216no—
314#552—232no—
315#552—232no—
316#552—216no—
317#552—216no—
318#550—28no—
319#550—216no—
320D4×Q8—28no—
321#548—216no—
322#547—28no—
323#547—216no—
324#547—28no—
325#547—216no—
326#541—216no—
327#539—232no—
328#533—28no—
329#533—216no—
330#533—28no—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×#127C2312yes—
337C2×#127C2314yes—
338C2×#127C2311yescharacteristic
339C2×#127C2311yescharacteristic
340#529—216no—
341#529—232no—
342#529—216no—
343#529—28no—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125—216no—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2311yescharacteristic
397C2×#121C2311yescharacteristic
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412#520—216no—
413C4×#41—28no—
414C4×#41—216no—
415C4×#41—28no—
416C4×#41—28no—
417C2×C4×Q8—216no—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2311yescharacteristic
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2314yes—
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2314yes—
494C22×C42C2312yes—
495C22×C42C2312yes—
496C22×C42C2312yes—
497C22×C42C2314yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#399C2314yes—
507#399C2312yes—
508#399C2314yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2314yes—
513#399C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2312yes—
534#396C2312yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#395C2314yes—
540#395C2314yes—
541#395C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2312yes—
568#392C2314yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
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#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
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#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2312yes—
759#384C2311yescharacteristic
760#384C2312yes—
761#383C2314yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2314yes—
767#382C2312yes—
768#382C2312yes—
769#382C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842#376C2312yes—
843#376C2314yes—
844#376C2314yes—
845C43C2312yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—42no—
862C22×Q8—28no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2414yes—
870C22×Q8C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—24no—
916C4⋊Q8C2×D418yes—
917C4⋊Q8C2×D4116yes—
918#127—28no—
919#127—216no—
920#127—42no—
921#127#4118yescomplemented
922#126—216no—
923#126—28no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#125—24no—
930#125—28no—
931#125—216no—
932#125—216no—
933#125—216no—
934#125—28no—
935#125—216no—
936#125—28no—
937#125—28no—
938#125C2×D4116yes—
939#125C2×D4132yes—
940#124—24no—
941#124—28no—
942#124—216no—
943#124—44no—
944#123—28no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952C22⋊Q8—24no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971#121—28no—
972#121—24no—
973#121—24no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—216no—
978#121—216no—
979#121—28no—
980#121—216no—
981#121—28no—
982#121—24no—
983#121—216no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—42no—
988#121—42no—
989C4×Q8—24no—
990C4×Q8—24no—
991C4×Q8—28no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—216no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—216no—
999C4×Q8—28no—
1000C4×Q8—24no—
1001C4×Q8—42no—
1002C4×Q8—44no—
1003C4×Q8C2×D4116yes—
1004C4×Q8C2×D418yes—
1005C4×Q8C2×D4116yes—
1006C4×Q8C2×D418yes—
1007C4×D4—216no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—216no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—44no—
1033C4×D4—42no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—48no—
1042C4×D4—48no—
1043C4×D4—42no—
1044#117—24no—
1045#117—28no—
1046#117—24no—
1047#117—216no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—24no—
1052#117—216no—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—216no—
1057#117—216no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—216no—
1060C2×C4⋊C4—216no—
1061C2×C4⋊C4—28no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—216no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C42—28no—
1196C2×C42—216no—
1197C2×C42—24no—
1198C2×C42—28no—
1199C2×C42—28no—
1200C2×C42—24no—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2414yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2412yes—
1258#95C2411yescharacteristic
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286C24C2512yes—
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289C24C2512yes—
1290C24C2512yes—
1291C24C2512yes—
1292#41—416no—
1293#41—432no—
1294#41—416no—
1295#41—432no—
1296#41—416no—
1297C2×Q8—28no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—44no—
1309C2×Q8—44no—
1310C2×Q8—42no—
1311C2×Q8—42no—
1312C2×Q8—432no—
1313C2×Q8C22×D414yes—
1314C2×Q8C22×D418yes—
1315C2×Q8C22×D414yes—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—28no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—28no—
1329C2×D4—24no—
1330C2×D4—28no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—42no—
1343C2×D4—41no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—41no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4C2×#4114yes—
1376C2×D4C2×#4114yes—
1377C2×D4C2×#4118yes—
1378C2×D4C2×#4118yes—
1379C22×C4—28no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—28no—
1422C22×C4—28no—
1423C22×C4—42no—
1424C22×C4—41no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—41no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—41no—
1441C22×C4—44no—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2514yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2514yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2514yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—28no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—41no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4C22×D414yes—
1526C4⋊C4C22×D414yes—
1527C4⋊C4C22×D418yes—
1528C4⋊C4C22×D4116yes—
1529C4⋊C4C22×D4116yes—
1530C4⋊C4C22×D4116yes—
1531C4⋊C4C22×D418yes—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D418yes—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—28no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—41no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—41no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—41no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C42—24no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—28no—
1610C42—22no—
1611C42—22no—
1612C42—24no—
1613C42—28no—
1614C42—24no—
1615C42—28no—
1616C42—28no—
1617C42—24no—
1618C42—22no—
1619C42—22no—
1620C42—24no—
1621C42—24no—
1622C42—22no—
1623C42—42no—
1624C42—41no—
1625C42—42no—
1626C42—41no—
1627C42—44no—
1628C42—44no—
1629C42—42no—
1630C42—44no—
1631C42C22×D414yes—
1632C42C22×D418yes—
1633C42C22×D4116yes—
1634C42C22×D418yes—
1635C42C2×#4114yes—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—21no—
1676C23C22×#4114yes—
1677C23C22×#4114yes—
1678C23C2611yescharacteristic
1679Q8—28no—
1680Q8—216no—
1681Q8—28no—
1682Q8—416no—
1683Q8—48no—
1684Q8—84no—
1685D4—28no—
1686D4—28no—
1687D4—48no—
1688D4—48no—
1689D4—48no—
1690D4—416no—
1691D4—48no—
1692D4—416no—
1693D4—44no—
1694D4—48no—
1695D4—44no—
1696D4—44no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—48no—
1782C2×C4—416no—
1783C2×C4—48no—
1784C2×C4—416no—
1785C2×C4—416no—
1786C2×C4—48no—
1787C2×C4—44no—
1788C2×C4—48no—
1789C2×C4—44no—
1790C2×C4—48no—
1791C2×C4—48no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—44no—
1795C2×C4—84no—
1796C2×C4—88no—
1797C2×C4—88no—
1798C2×C4—82no—
1799C2×C4C23×D414yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D414yes—
1802C2×C4C23×D418yes—
1803C2×C4C23×D414yes—
1804C2×C4C23×D414yes—
1805C2×C4C23×D412yes—
1806C2×C4C23×D412yes—
1807C2×C4C22×#4112yes—
1808C2×C4C22×#4112yes—
1809C2×C4C22×#4112yes—
1810C2×C4#58512yes—
1811C2×C4#58512yes—
1812C2×C4#58512yes—
1813C2×C4#58512yes—
1814C22—24no—
1815C22—24no—
1816C22—24no—
1817C22—24no—
1818C22—24no—
1819C22—24no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—41no—
1837C22—42no—
1838C22—42no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—41no—
1846C22—41no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—41no—
1853C22—41no—
1854C22—42no—
1855C22—42no—
1856C22C24×D411yescharacteristic
1857C22C23×#4111yescharacteristic
1858C22C2×#58511yescharacteristic
1859C22C2×#58511yescharacteristic
1860C22C2×#58511yescharacteristic
1861C22C2×#58511yescharacteristic
1862C222−1+611yescharacteristic
1863C4—22no—
1864C4—22no—
1865C4—24no—
1866C4—24no—
1867C4—22no—
1868C4—22no—
1869C4—24no—
1870C4—24no—
1871C4—28no—
1872C4—42no—
1873C4—41no—
1874C4—44no—
1875C4—42no—
1876C4—42no—
1877C4—41no—
1878C4—44no—
1879C4—41no—
1880C4—42no—
1881C4—41no—
1882C4—42no—
1883C4—44no—
1884C4—41no—
1885C4—42no—
1886C4—42no—
1887C4—41no—
1888C4—41no—
1889C4—42no—
1890C4D4×#4114yes—
1891C4#348714yes—
1892C2—44no—
1893C2—44no—
1894C2—81no—
1895C2—81no—
1896C2—82no—
1897C2—82no—
1898C2C2×D4×#4111yescharacteristic
1899C2#6278111yescharacteristic
1900C2C2×#348711yescharacteristic
1901C2#6293911yescharacteristic
1902C2#6299111yescharacteristic
1903C2#6300211yescharacteristic
1904C2#6303111yescharacteristic
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×#3515C2semidirect
2. C2×#3482C2semidirect
3. #59824C2semidirect
4. #59815C2semidirect
5. #59159C2semidirect
6. #59140C2semidirect
7. #59053C2semidirect
8. #59040C2semidirect
9. #59034C2semidirect
10. #59034C2semidirect
11. #45387C2semidirect
12. #45243C2semidirect
13. #44637C2semidirect
14. #44635C2semidirect
15. #39950C2semidirect
16. #39858C2semidirect
17. #39618C2semidirect
18. #39124C2semidirect
19. #37829C2semidirect
20. #37765C2semidirect
21. #36534C2semidirect
22. #36504C2semidirect
23. #36492C2semidirect
24. #36492C2semidirect
25. #36232C2semidirect
26. #36228C2semidirect
27. #36151C2semidirect
28. #36112C2semidirect
29. #36065C2semidirect
30. #36019C2semidirect
31. #34727C2semidirect
32. #34708C2semidirect
33. #34328C2semidirect
34. #34295C2semidirect
35. C4×#550C2semidirect
307. #557D4semidirect
921. #127#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34822
#598242
#598152
#591592
#591402
#590532
#590402
#590342
#453872
#452432
#446372
#446352
#399502
#398582
#396182
#391242
#378292
#377652
#365342
#365042
#364922
#362322
#362282
#361512
#361122
#360652
#360192
#347272
#347082
#343282
#342952
C4×#5502