Finite Group Databasebeta

← #10581857

Subgroups — #10581857

Order 512.

6275 conjugacy classes of subgroups.

The subgroup lattice has 1903 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2C2×#3554C211yesmaximal, characteristic, complemented
3#62616C214yesmaximal, complemented
4#62562C214yesmaximal, complemented
5#62465C214yesmaximal, complemented
6#62438C214yesmaximal, complemented
7#62073C214yesmaximal, complemented
8#62068C214yesmaximal, complemented
9#62042C214yesmaximal, complemented
10#62039C214yesmaximal, complemented
11#61893C211yesmaximal, characteristic, complemented
12#61891C211yesmaximal, characteristic, complemented
13#61885C211yesmaximal, characteristic, complemented
14#61883C211yesmaximal, characteristic, complemented
15#61604C214yesmaximal, complemented
16#61594C214yesmaximal, complemented
17#61587C211yesmaximal, characteristic, complemented
18#61584C211yesmaximal, characteristic, complemented
19#61566C211yesmaximal, characteristic, complemented
20#61562C211yesmaximal, characteristic, complemented
21#60980C214yesmaximal, complemented
22#60952C211yesmaximal, characteristic, complemented
23#60941C211yesmaximal, characteristic, complemented
24#60813C214yesmaximal, complemented
25#60803C211yesmaximal, characteristic, complemented
26#60782C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3562—22no—
29#3560—22no—
30#3554—22no—
31#3554—22no—
32#3554—22no—
33#3554—22no—
34#3554C2214yescomplemented
35#3554C2214yescomplemented
36#3554C2214yescomplemented
37#3554C2214yescomplemented
38#3552C2212yescomplemented
39#3551—22no—
40#3547C2212yescomplemented
41#3546C2212yescomplemented
42#3543C2212yescomplemented
43#3534—22no—
44C2×#562—22no—
45#3520C2212yescomplemented
46#3519C2214yes—
47#3519C2212yescomplemented
48#3517C2212yescomplemented
49#3514—22no—
50#3514C2212yescomplemented
51#3512—21no—
52#3507C2211yescharacteristic
53#3506C2211yescharacteristic
54#3505—22no—
55#3500—21no—
56#3497C2211yescharacteristic
57#3496C2211yescharacteristic
58#3494C2214yes—
59#3489—21no—
60#3488—21no—
61C2×#559—21no—
62C2×#559C2211yescharacteristic, complemented
63C2×#557C2211yescharacteristic, complemented
64C2×#554—21no—
65C2×#550C2211yescharacteristic, complemented
66C2×D4×Q8C2211yescharacteristic, complemented
67C2×#548C2212yescomplemented
68C2×#547C2212yescomplemented
69C2×#542—21no—
70C2×#542C2212yescomplemented
71C2×#540—21no—
72C2×#539—22no—
73C2×#536C2212yescomplemented
74#3444C2211yescharacteristic
75C2×#533C2211yescharacteristic, complemented
76C2×#532C2211yescharacteristic
77C2×#532C2211yescharacteristic, complemented
78C2×#529C2211yescharacteristic
79#3400C2214yescomplemented
80#3399C2214yescomplemented
81#3399C2214yescomplemented
82#3398C2214yescomplemented
83#3396C2214yescomplemented
84#3394C2214yescomplemented
85#3392C2214yescomplemented
86#3392C2214yescomplemented
87#3374C2214yescomplemented
88#3373C2214yescomplemented
89#3373C2214yescomplemented
90#3372C2214yescomplemented
91#3365C2214yescomplemented
92#3361C2214yescomplemented
93#3359C2214yescomplemented
94#3359C2214yescomplemented
95#3332C2214yescomplemented
96#3332C2214yescomplemented
97#3331C2218yescomplemented
98#3329C2214yescomplemented
99#3328C2214yescomplemented
100#3326C2218yescomplemented
101#3321C2218yescomplemented
102#3316C2218yescomplemented
103#3307C2218yescomplemented
104#3307C2218yescomplemented
105#3305C2214yescomplemented
106#3304C2214yescomplemented
107#3303C2218yescomplemented
108#3301C2218yescomplemented
109#3298C2214yescomplemented
110#3298C2214yescomplemented
111#3287C2214yescomplemented
112#3284C2214yescomplemented
113#3284C2218yescomplemented
114#3282C2218yescomplemented
115D4×SD16C2214yescomplemented
116D4×SD16C2214yescomplemented
117#3278C2214yescomplemented
118#3276C2214yescomplemented
119#3275C2218yescomplemented
120#3274C2214yescomplemented
121#3274C2214yescomplemented
122#3272C2218yescomplemented
123#3271C2218yescomplemented
124#3267C2218yescomplemented
125#3267C2218yescomplemented
126#3265C2218yescomplemented
127#3263C2218yescomplemented
128#3257C2218yescomplemented
129#3255C2212yescomplemented
130#3254C2212yescomplemented
131#3246C2212yescomplemented
132#3246C2212yescomplemented
133#3244C2218yescomplemented
134#3239C2212yescomplemented
135#3237C2212yescomplemented
136#3229C2212yescomplemented
137#3227C2212yescomplemented
138#3225C2218yescomplemented
139#3225C2218yescomplemented
140#3224C2218yescomplemented
141#3221C2218yescomplemented
142#3221C2218yescomplemented
143#3218C2212yescomplemented
144#3218C2214yescomplemented
145#3216C2212yescomplemented
146#3214C2214yescomplemented
147#3213C2214yescomplemented
148#3213C2214yescomplemented
149#3212C2214yescomplemented
150#3211C2214yescomplemented
151#3211C2214yescomplemented
152#3210C2212yescomplemented
153#3209C2211yescharacteristic, complemented
154#3208C2212yescomplemented
155#3208C2211yescharacteristic, complemented
156#3207C2212yescomplemented
157#3207C2212yescomplemented
158#3207C2212yescomplemented
159#3206C2211yescharacteristic
160#3206C2212yescomplemented
161#3206C2211yescharacteristic, complemented
162#3206C2211yescharacteristic, complemented
163#3206C2214yescomplemented
164#3205C2211yescharacteristic
165#3205C2211yescharacteristic, complemented
166#3205C2211yescharacteristic, complemented
167#3196C2212yescomplemented
168#3196C2212yescomplemented
169#3196C2214yescomplemented
170#3192C2214yescomplemented
171#3188C2214yescomplemented
172#3187C2212yescomplemented
173#3187C2212yescomplemented
174#3187C2214yescomplemented
175#3179C2218yescomplemented
176#3173C2218yescomplemented
177#3172C2214yescomplemented
178#3167C2214yescomplemented
179#3154C2218yescomplemented
180#3151C2212yescomplemented
181#3147C2212yescomplemented
182#3141C2212yescomplemented
183#3137C2218yescomplemented
184#3131C2212yescomplemented
185#3125C2218yescomplemented
186#3118C2218yescomplemented
187#3117C2214yescomplemented
188#3109C2214yescomplemented
189#3107C2214yescomplemented
190#3105C2214yescomplemented
191#3104C2211yescharacteristic, complemented
192#3104C2211yescharacteristic, complemented
193#3103C2211yescharacteristic
194#3103C2211yescharacteristic
195#3103C2211yescharacteristic, complemented
196#3103C2211yescharacteristic, complemented
197#3103C2211yescharacteristic, complemented
198#3103C2211yescharacteristic, complemented
199#3103C2214yescomplemented
200#3101C2214yescomplemented
201#3046C2218yescomplemented
202#3042C2218yescomplemented
203#3036C2214yescomplemented
204#3035C2214yescomplemented
205#3006C2214yescomplemented
206#3006C2214yescomplemented
207#3004C2214yescomplemented
208#3002C2214yescomplemented
209#3002C2214yescomplemented
210C2×#448C2214yescomplemented
211#2994C2214yescomplemented
212#2993C2214yescomplemented
213#2983C2211yescharacteristic, complemented
214#2982C2211yescharacteristic, complemented
215#2975C2211yescharacteristic, complemented
216#2974C2214yescomplemented
217#2972C2211yescharacteristic, complemented
218#2969C2214yescomplemented
219#2966C2214yescomplemented
220#2924C2214yescomplemented
221#2920C2211yescharacteristic, complemented
222C2×#431C2211yescharacteristic, complemented
223C2×2−1+4—21no—
224C2×H(5,𝔽2)—21no—
225C22×#41—21no—
226C22×#41C2312yes—
227C22×#41C2312yes—
228C23×Q8C2312yes—
229C2×#137C2318yes—
230C2×AGL(1,ℤ/8)C2318yes—
231C2×AGL(1,ℤ/8)C2318yes—
232C2×#135C2318yes—
233C2×#135C2318yes—
234C22×SD16C2318yes—
235#563—24no—
236#562—28no—
237#562—28no—
238#562—28no—
239#562—28no—
240#562—24no—
241#560—24no—
242#560—24no—
243#559—24no—
244#559—24no—
245#559—24no—
246#559—24no—
247#559—22no—
248#559—22no—
249#559—22no—
250#559C2314yes—
251#559C2314yes—
252#559C2312yes—
253#557—22no—
254#557—22no—
255#557C2314yes—
256#557C2314yes—
257#557C2312yes—
258#556—22no—
259#556C2312yes—
260#556C2312yes—
261#555—24no—
262#555C2312yes—
263#555C2314yes—
264#554—24no—
265#554—24no—
266#554—24no—
267#554—24no—
268#554C2312yes—
269#554C2314yes—
270#553—24no—
271#553—22no—
272#553—22no—
273#553—22no—
274#553—24no—
275#553—24no—
276#553—24no—
277#553C2314yes—
278#553C2314yes—
279#552—22no—
280#552—22no—
281#552—22no—
282#551—24no—
283#551—24no—
284#551—24no—
285#551—24no—
286#550—22no—
287#550—22no—
288#550—22no—
289#550C2314yes—
290#550C2314yes—
291#550C2312yes—
292#550C2314yes—
293#550C2312yes—
294#550C2312yes—
295D4×Q8—22no—
296D4×Q8—22no—
297D4×Q8—22no—
298D4×Q8C2314yes—
299D4×Q8C2314yes—
300D4×Q8C2312yes—
301D4×Q8C2312yes—
302#548—22no—
303#548—22no—
304#548—22no—
305#548—22no—
306#548—22no—
307#548—22no—
308#548—24no—
309#548—24no—
310#548C2318yes—
311#548C2318yes—
312#547—22no—
313#547—24no—
314#547—24no—
315#547—24no—
316#547C2318yes—
317#547C2318yes—
318#547C2312yes—
319#547C2312yes—
320#547C2312yes—
321#546—22no—
322#546—22no—
323#546—24no—
324#546—22no—
325#546—22no—
326#546—22no—
327#546—22no—
328#546—24no—
329#546—24no—
330#546—24no—
331#546—24no—
332#546C2314yes—
333#546C2314yes—
334D42—24no—
335D42—22no—
336D42C2312yes—
337D42C2312yes—
338D42C2314yes—
339#544C2314yes—
340#542—24no—
341#542—24no—
342#542—24no—
343#542—24no—
344#542—24no—
345#542—24no—
346#542—24no—
347#542C2318yes—
348#542C2314yes—
349#542C2318yes—
350#542C2314yes—
351#541—22no—
352#540—22no—
353#540—24no—
354#540—24no—
355#540—24no—
356#540—24no—
357#540—24no—
358#540—24no—
359#540C2314yes—
360#540C2314yes—
361#539—28no—
362#539—28no—
363#539—28no—
364#539—28no—
365#539—24no—
366#539—24no—
367#539—22no—
368#538—24no—
369#538—24no—
370#538—24no—
371#538—24no—
372#538—24no—
373#538—22no—
374#537—22no—
375#537—22no—
376#537—21no—
377#537—21no—
378#537—22no—
379#536—21no—
380#536—22no—
381#536—22no—
382#536—24no—
383#536—24no—
384#536C2318yes—
385#536C2318yes—
386#535—21no—
387#535—22no—
388#535—22no—
389#535C2314yes—
390#534—24no—
391#534—22no—
392#533—21no—
393#533—21no—
394#533—21no—
395#533—21no—
396#533C2312yes—
397#533C2311yescharacteristic
398#533C2312yes—
399#533C2312yes—
400#533C2312yes—
401#533C2311yescharacteristic
402#533C2311yescharacteristic
403#532—22no—
404#532—21no—
405#532—21no—
406#532—21no—
407#532—21no—
408#532—21no—
409#532—21no—
410#532—21no—
411#532—21no—
412#532C2312yes—
413#532C2312yes—
414#532C2311yescharacteristic
415#532C2312yes—
416#532C2312yes—
417#532C2311yescharacteristic
418#532C2311yescharacteristic
419#532C2311yescharacteristic
420#532C2314yes—
421#532C2312yes—
422#532C2312yes—
423#532C2311yescharacteristic
424#532C2311yescharacteristic
425#532C2311yescharacteristic
426C2×C4⋊Q8—21no—
427C2×C4⋊Q8C2311yescharacteristic
428C2×C4⋊Q8C2311yescharacteristic
429C2×C4⋊Q8C2312yes—
430C2×C4⋊Q8C2311yescharacteristic
431C2×C4⋊Q8C2311yescharacteristic
432C2×#127—21no—
433C2×#127C2311yescharacteristic
434C2×#127C2311yescharacteristic
435#529—22no—
436#529—22no—
437#529—21no—
438#529—21no—
439#529—21no—
440#529—21no—
441#529D412yes—
442#529D412yes—
443#529D412yes—
444#529D412yes—
445#529C2314yes—
446#529C2312yes—
447#529C2312yes—
448#529C2312yes—
449#529C2312yes—
450#529C2312yes—
451#529C2312yes—
452C2×#126—22no—
453C2×#126D412yes—
454C2×#125—22no—
455C2×#125—21no—
456C2×#125—21no—
457C2×#125D411yescharacteristic
458C2×#124—21no—
459C2×#124—22no—
460C2×#124—22no—
461C2×#124—22no—
462C2×#124—21no—
463C2×#124D411yescharacteristic
464C2×#124C2312yes—
465C2×#124C2312yes—
466#525—21no—
467#525—21no—
468#525—22no—
469#525—22no—
470#525C2314yes—
471#525C2312yes—
472C2×#123—22no—
473C2×#123—22no—
474C2×#123—22no—
475C2×#123—22no—
476C2×#123—22no—
477C2×#123—22no—
478C2×#123D412yes—
479C2×C22⋊Q8—21no—
480C2×C22⋊Q8—22no—
481C2×C22⋊Q8—22no—
482C2×C22⋊Q8—22no—
483C2×C22⋊Q8—22no—
484C2×C22⋊Q8—22no—
485C2×C22⋊Q8—22no—
486C2×C22⋊Q8D411yescharacteristic
487C2×C22⋊Q8C2311yescharacteristic
488C2×C22⋊Q8C2311yescharacteristic
489C2×C22⋊Q8C2312yes—
490C2×#121—22no—
491C2×#121—22no—
492C2×#121—21no—
493C2×#121—21no—
494C2×#121—21no—
495C2×#121—22no—
496C2×#121—22no—
497C2×#121D411yescharacteristic
498C2×#121C2312yes—
499C2×#121C2314yes—
500C2×#121C2312yes—
501#520—21no—
502#520—21no—
503#520C2314yes—
504#518—24no—
505#518C2314yes—
506C4×#41—21no—
507C4×#41—21no—
508C4×#41C2312yes—
509C2×C4×Q8—21no—
510C2×C4×Q8—21no—
511C2×C4×Q8C2311yescharacteristic
512C2×C4×Q8C2311yescharacteristic
513C2×C4×Q8C2312yes—
514C2×C4×Q8C2311yescharacteristic
515C2×C4×D4—21no—
516C2×C4×D4—21no—
517C2×C4×D4—21no—
518C2×C4×D4—22no—
519C2×C4×D4—21no—
520C2×C4×D4—21no—
521C2×C4×D4—21no—
522C2×C4×D4C2312yes—
523C2×C4×D4C2312yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2311yescharacteristic
526C2×#117—21no—
527C2×#117C2312yes—
528C22×C4⋊C4—22no—
529C22×C42C2311yescharacteristic
530#501C2314yes—
531#498C2314yes—
532#497C2318yes—
533#497C2314yes—
534#496C2318yes—
535#496C2318yes—
536#495C2318yes—
537#495C2318yes—
538#494C2312yes—
539#493C2312yes—
540#493C2312yes—
541#493C2312yes—
542#492C2312yes—
543#492C2312yes—
544#492C2318yes—
545#492C2312yes—
546#492C2312yes—
547#492C2314yes—
548#491C2318yes—
549#491C2314yes—
550#489C2318yes—
551#489C2318yes—
552#489C2314yes—
553#488C2318yes—
554#488C2318yes—
555#487C2312yes—
556#487C2312yes—
557#487C2318yes—
558#487C2312yes—
559#487C2312yes—
560#487C2314yes—
561#486C2312yes—
562#486C2312yes—
563#486C2312yes—
564#486C2312yes—
565#486C2314yes—
566#485C2318yes—
567#485C2314yes—
568#485C2314yes—
569#484C2312yes—
570#484C2312yes—
571#483C2314yes—
572#483C2318yes—
573#483C2314yes—
574#482C2318yes—
575#481C2318yes—
576#481C2312yes—
577#481C2312yes—
578#481C2312yes—
579#481C2312yes—
580#481C2312yes—
581#481C2312yes—
582#479C2318yes—
583#478C2318yes—
584#477C2312yes—
585#477C2312yes—
586#476C2318yes—
587#476C2314yes—
588#476C2314yes—
589#475C2312yes—
590#475C2312yes—
591#475C2312yes—
592#475C2312yes—
593#475C2312yes—
594#475C2318yes—
595#475C2312yes—
596#475C2314yes—
597#474C2314yes—
598#470C2318yes—
599#470C2314yes—
600#470C2314yes—
601#469C2318yes—
602#469C2318yes—
603#468C2318yes—
604#468C2314yes—
605#468C2314yes—
606#466C2318yes—
607#465C2314yes—
608#465C2314yes—
609#465C2314yes—
610#465C2314yes—
611#465C2318yes—
612#465C2318yes—
613#465C2318yes—
614#464C2318yes—
615#464C2318yes—
616#464C2318yes—
617#463C2318yes—
618#463C2318yes—
619#463C2318yes—
620#463C2318yes—
621#463C2318yes—
622#463C2318yes—
623#463C2318yes—
624#462C2314yes—
625#462C2318yes—
626#462C2312yes—
627#462C2312yes—
628#462C2314yes—
629#461C2314yes—
630#461C2314yes—
631#461C2314yes—
632#461C2314yes—
633#461C2318yes—
634#461C2318yes—
635#461C2314yes—
636#461C2314yes—
637#461C2318yes—
638#460C2312yes—
639#460C2312yes—
640#460C2312yes—
641#460C2312yes—
642#460C2318yes—
643#460C2312yes—
644#460C2312yes—
645#460C2314yes—
646#459C2314yes—
647#459C2314yes—
648#459C2318yes—
649#459C2314yes—
650#452C2318yes—
651#452C2318yes—
652#452C2314yes—
653#452C2314yes—
654#452C2318yes—
655#451C2318yes—
656#451C2312yes—
657#451C2312yes—
658#451C2314yes—
659#450C2314yes—
660#450C2314yes—
661#450C2314yes—
662#450C2318yes—
663#449C2318yes—
664#449C2318yes—
665#449C2318yes—
666#449C2318yes—
667#449C2318yes—
668#449C2318yes—
669#449C2318yes—
670#448C2318yes—
671#448C2312yes—
672#448C2312yes—
673#448C2312yes—
674#448C2314yes—
675#448C2312yes—
676#448C2314yes—
677#448C2312yes—
678#448C2312yes—
679#448C2314yes—
680#448C2318yes—
681#448C2318yes—
682#447C2314yes—
683#447C2314yes—
684#447C2314yes—
685#447C2318yes—
686#446C2314yes—
687#446C2314yes—
688C8×Q8C2314yes—
689C8×Q8C2314yes—
690#442C2318yes—
691#442C2318yes—
692#441C2318yes—
693#440C2318yes—
694C4×Q16C2314yes—
695C4×Q16C2314yes—
696C4×SD16C2314yes—
697C4×SD16C2318yes—
698C4×SD16C2314yes—
699C4×SD16C2314yes—
700C4×SD16C2314yes—
701C4×SD16C2314yes—
702C4×SD16C2318yes—
703C4×SD16C2318yes—
704C4×SD16C2314yes—
705C4×D8C2318yes—
706#436C2314yes—
707#436C2314yes—
708#436C2318yes—
709#435C2318yes—
710#435C2318yes—
711C8×D4C2314yes—
712C8×D4C2318yes—
713C8×D4C2314yes—
714#433C2318yes—
715#433C2318yes—
716#432C2314yes—
717#432C2312yes—
718#432C2312yes—
719#431C2312yes—
720#431C2311yescharacteristic
721#431C2311yescharacteristic
722#431C2311yescharacteristic
723#431C2311yescharacteristic
724#431C2314yes—
725#431C2312yes—
726#431C2312yes—
727#431C2312yes—
728#424C2318yes—
729#423C2312yes—
730C2×C4⋊C8C2312yes—
731#419C2318yes—
732#417C2318yes—
733#417C2318yes—
734#416C2318yes—
735#416C2318yes—
736C2×#103C2318yes—
737#407C2312yes—
738#407C2314yes—
739C2×C22⋊C8C2312yes—
740C2×C22⋊C8C2314yes—
741#405C2318yes—
742C4×M16C2312yes—
743C2×C4×C8C2312yes—
7442−1+4—84no—
745H(5,𝔽2)—84no—
746C2×#41—22no—
747C2×#41—22no—
748C2×#41—22no—
749C2×#41—22no—
750C2×#41—21no—
751C2×#41—21no—
752C2×#41—21no—
753C2×#41—21no—
754C2×#41—22no—
755C2×#41—22no—
756C2×#41—22no—
757C2×#41—22no—
758C2×#41—21no—
759C2×#41—21no—
760C2×#41—24no—
761C2×#41—24no—
762C2×#41—84no—
763C2×#41—84no—
764C2×#41—84no—
765C2×#41C2412yes—
766C2×#41C2414yes—
767C2×#41C2414yes—
768C2×#41C2414yes—
769C2×#41C2418yes—
770C22×Q8—22no—
771C22×Q8—22no—
772C22×Q8—21no—
773C22×Q8—22no—
774C22×Q8—21no—
775C22×Q8—24no—
776C22×Q8—84no—
777C22×Q8C2×D411yescharacteristic
778C22×Q8C2411yescharacteristic
779C22×Q8C2412yes—
780C22×Q8C2411yescharacteristic
781C22×Q8C2418yes—
782C22×D4—22no—
783C22×D4—22no—
784C22×D4—22no—
785C22×D4—22no—
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—22no—
789C22×D4—22no—
790C22×D4—21no—
791C22×D4—21no—
792C22×D4—21no—
793C22×D4—21no—
794C22×D4C2×D411yescharacteristic
795C22×D4C2×D412yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C23×C4—22no—
800C23×C4—22no—
801C23×C4—22no—
802C23×C4—22no—
803C23×C4—22no—
804C23×C4C2×D411yescharacteristic
805C23×C4C2×D411yescharacteristic
806C23×C4C2412yes—
807C23×C4C2411yescharacteristic
808#137—88no—
809AGL(1,ℤ/8)—88no—
810AGL(1,ℤ/8)—88no—
811#135—88no—
812#135—88no—
813C2×Q16C2414yes—
814C2×Q16C2418yes—
815C2×Q16C2414yes—
816C2×SD16—88no—
817C2×SD16C2414yes—
818C2×SD16C2414yes—
819C2×SD16C2418yes—
820C2×SD16C2418yes—
821C2×SD16C2414yes—
822C2×SD16C2418yes—
823C2×SD16C2414yes—
824C2×SD16C2414yes—
825C2×SD16C2418yes—
826C2×SD16C2414yes—
827C2×D8C2418yes—
828C2×D8C2418yes—
829C2×D8C2418yes—
830C2×M16C2414yes—
831C2×M16C2418yes—
832C22×C8C2418yes—
833C22×C8C2414yes—
834C4⋊Q8—22no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—21no—
839C4⋊Q8—21no—
840C4⋊Q8—21no—
841C4⋊Q8—21no—
842C4⋊Q8—21no—
843C4⋊Q8—21no—
844C4⋊Q8—21no—
845C4⋊Q8—21no—
846C4⋊Q8—24no—
847C4⋊Q8C2412yes—
848C4⋊Q8C2412yes—
849C4⋊Q8C2412yes—
850C4⋊Q8C2412yes—
851C4⋊Q8C2418yes—
852C4⋊Q8C2411yescharacteristic
853C4⋊Q8C2412yes—
854C4⋊Q8C2411yescharacteristic
855C4⋊Q8C2411yescharacteristic
856C4⋊Q8C2412yes—
857C4⋊Q8C2412yes—
858C4⋊Q8C2411yescharacteristic
859C4⋊Q8C2411yescharacteristic
860C4⋊Q8C2414yes—
861#127—24no—
862#127—24no—
863#127—22no—
864#127—24no—
865#127—21no—
866#127—21no—
867#127—21no—
868#127—21no—
869#127C2412yes—
870#127C2411yescharacteristic
871#127C2411yescharacteristic
872#127C2412yes—
873#127C2412yes—
874#127C2411yescharacteristic
875#127C2414yes—
876#126—28no—
877#126—28no—
878#126—24no—
879#126—24no—
880#126—24no—
881#126—24no—
882#126—24no—
883#126—24no—
884#126—22no—
885#126—22no—
886#126—24no—
887#126C2×D414yes—
888#126C2×D414yes—
889#126C2×D414yes—
890#126C2×D414yes—
891#125—28no—
892#125—28no—
893#125—24no—
894#125—24no—
895#125—24no—
896#125—24no—
897#125—24no—
898#125—22no—
899#125—22no—
900#125—22no—
901#125—22no—
902#125—21no—
903#125—21no—
904#125C2×D412yes—
905#125C2×D412yes—
906#125C2×D412yes—
907#125C2×D412yes—
908#125C2412yes—
909#125C2414yes—
910#124—22no—
911#124—24no—
912#124—24no—
913#124—22no—
914#124—24no—
915#124—24no—
916#124—28no—
917#124—28no—
918#124—28no—
919#124—28no—
920#124—24no—
921#124—24no—
922#124—24no—
923#124—21no—
924#124—21no—
925#124—22no—
926#124—21no—
927#124—21no—
928#124—22no—
929#124—22no—
930#124—22no—
931#124—24no—
932#124—21no—
933#124—21no—
934#124—24no—
935#124C2×D412yes—
936#124C2×D412yes—
937#124C2×D412yes—
938#124C2×D412yes—
939#124C2414yes—
940#124C2414yes—
941#124C2418yes—
942#124C2412yes—
943#124C2414yes—
944#123—22no—
945#123—22no—
946#123—22no—
947#123—24no—
948#123—24no—
949#123—28no—
950#123—28no—
951#123—24no—
952#123—24no—
953#123—24no—
954#123—24no—
955#123—24no—
956#123—24no—
957#123—24no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—24no—
969#123—24no—
970#123—24no—
971#123—24no—
972#123—24no—
973#123—24no—
974#123—24no—
975#123C2×D414yes—
976#123C2×D414yes—
977#123C2×D414yes—
978#123C2×D414yes—
979C22⋊Q8—22no—
980C22⋊Q8—22no—
981C22⋊Q8—21no—
982C22⋊Q8—22no—
983C22⋊Q8—22no—
984C22⋊Q8—22no—
985C22⋊Q8—22no—
986C22⋊Q8—21no—
987C22⋊Q8—21no—
988C22⋊Q8—21no—
989C22⋊Q8—21no—
990C22⋊Q8—24no—
991C22⋊Q8—21no—
992C22⋊Q8—21no—
993C22⋊Q8—21no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—22no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—22no—
1005C22⋊Q8—22no—
1006C22⋊Q8—22no—
1007C22⋊Q8—24no—
1008C22⋊Q8—24no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—24no—
1015C22⋊Q8—24no—
1016C22⋊Q8—24no—
1017C22⋊Q8C2×D412yes—
1018C22⋊Q8C2×D412yes—
1019C22⋊Q8C2×D412yes—
1020C22⋊Q8C2×D412yes—
1021C22⋊Q8C2412yes—
1022C22⋊Q8C2412yes—
1023C22⋊Q8C2412yes—
1024C22⋊Q8C2412yes—
1025C22⋊Q8C2418yes—
1026C22⋊Q8C2412yes—
1027C22⋊Q8C2412yes—
1028C22⋊Q8C2414yes—
1029#121—22no—
1030#121—24no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—22no—
1036#121—24no—
1037#121—24no—
1038#121—21no—
1039#121—21no—
1040#121—21no—
1041#121—21no—
1042#121—21no—
1043#121—22no—
1044#121—22no—
1045#121—22no—
1046#121—22no—
1047#121—22no—
1048#121—22no—
1049#121—22no—
1050#121—22no—
1051#121—22no—
1052#121—22no—
1053#121—22no—
1054#121—22no—
1055#121—24no—
1056#121—24no—
1057#121—24no—
1058#121—21no—
1059#121—21no—
1060#121—21no—
1061#121—24no—
1062#121—22no—
1063#121—22no—
1064#121—22no—
1065#121—22no—
1066#121—24no—
1067#121—24no—
1068#121—24no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—28no—
1073#121—28no—
1074#121—24no—
1075#121—24no—
1076#121—24no—
1077#121—24no—
1078#121—24no—
1079#121—24no—
1080#121—24no—
1081#121—24no—
1082#121C2×D412yes—
1083#121C2×D412yes—
1084#121C2×D412yes—
1085#121C2×D412yes—
1086#121C2412yes—
1087#121C2412yes—
1088#121C2412yes—
1089#121C2412yes—
1090#121C2412yes—
1091#121C2414yes—
1092#121C2414yes—
1093#121C2418yes—
1094#121C2412yes—
1095#121C2414yes—
1096#120—22no—
1097#120—24no—
1098#120—24no—
1099#120—24no—
1100#120—24no—
1101#120—24no—
1102#120—24no—
1103#120—24no—
1104#120—24no—
1105#120—24no—
1106C4×Q8—24no—
1107C4×Q8—24no—
1108C4×Q8—22no—
1109C4×Q8—22no—
1110C4×Q8—22no—
1111C4×Q8—22no—
1112C4×Q8—22no—
1113C4×Q8—22no—
1114C4×Q8—21no—
1115C4×Q8—21no—
1116C4×Q8—21no—
1117C4×Q8—21no—
1118C4×Q8—24no—
1119C4×Q8—21no—
1120C4×Q8—21no—
1121C4×Q8—21no—
1122C4×Q8—21no—
1123C4×Q8C2×D412yes—
1124C4×Q8C2×D412yes—
1125C4×Q8C2412yes—
1126C4×Q8C2412yes—
1127C4×Q8C2412yes—
1128C4×Q8C2412yes—
1129C4×Q8C2418yes—
1130C4×Q8C2412yes—
1131C4×Q8C2412yes—
1132C4×Q8C2414yes—
1133C4×Q8C2412yes—
1134C4×Q8C2412yes—
1135C4×D4—24no—
1136C4×D4—24no—
1137C4×D4—24no—
1138C4×D4—22no—
1139C4×D4—22no—
1140C4×D4—22no—
1141C4×D4—22no—
1142C4×D4—22no—
1143C4×D4—22no—
1144C4×D4—24no—
1145C4×D4—24no—
1146C4×D4—24no—
1147C4×D4—24no—
1148C4×D4—24no—
1149C4×D4—24no—
1150C4×D4—24no—
1151C4×D4—24no—
1152C4×D4—24no—
1153C4×D4—24no—
1154C4×D4—22no—
1155C4×D4—22no—
1156C4×D4—28no—
1157C4×D4—28no—
1158C4×D4—24no—
1159C4×D4—24no—
1160C4×D4—24no—
1161C4×D4—24no—
1162C4×D4—22no—
1163C4×D4—22no—
1164C4×D4—22no—
1165C4×D4—22no—
1166C4×D4—21no—
1167C4×D4—22no—
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—22no—
1171C4×D4—21no—
1172C4×D4—22no—
1173C4×D4—22no—
1174C4×D4—22no—
1175C4×D4—22no—
1176C4×D4—22no—
1177C4×D4—22no—
1178C4×D4—24no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—24no—
1184C4×D4C2×D414yes—
1185C4×D4C2×D414yes—
1186C4×D4C2×D412yes—
1187C4×D4C2×D412yes—
1188C4×D4C2412yes—
1189C4×D4C2412yes—
1190C4×D4C2412yes—
1191C4×D4C2412yes—
1192C4×D4C2418yes—
1193C4×D4C2412yes—
1194C4×D4C2412yes—
1195C4×D4C2414yes—
1196C4×D4C2414yes—
1197C4×D4C2414yes—
1198C4×D4C2414yes—
1199C4×D4C2412yes—
1200C4×D4C2412yes—
1201C4×D4C2414yes—
1202#117—22no—
1203#117—22no—
1204#117—22no—
1205#117—22no—
1206#117—21no—
1207#117—21no—
1208#117—24no—
1209#117—22no—
1210#117—22no—
1211#117—24no—
1212#117—22no—
1213#117—22no—
1214#117—22no—
1215#117—24no—
1216#117C2×D414yes—
1217#117C2×D414yes—
1218#117C2412yes—
1219#117C2414yes—
1220#117C2414yes—
1221#117C2414yes—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—22no—
1224C2×C4⋊C4—22no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—21no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—21no—
1230C2×C4⋊C4—21no—
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—22no—
1233C2×C4⋊C4—21no—
1234C2×C4⋊C4—22no—
1235C2×C4⋊C4—21no—
1236C2×C4⋊C4—28no—
1237C2×C4⋊C4—28no—
1238C2×C4⋊C4—22no—
1239C2×C4⋊C4—22no—
1240C2×C4⋊C4—24no—
1241C2×C4⋊C4C2×D412yes—
1242C2×C4⋊C4C2×D412yes—
1243C2×C4⋊C4C2×D412yes—
1244C2×C4⋊C4C2×D411yescharacteristic
1245C2×C4⋊C4C2×D411yescharacteristic
1246C2×C4⋊C4C2×D412yes—
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2414yes—
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—22no—
1254C2×C22⋊C4—22no—
1255C2×C22⋊C4—22no—
1256C2×C22⋊C4—22no—
1257C2×C22⋊C4—22no—
1258C2×C22⋊C4—22no—
1259C2×C22⋊C4—22no—
1260C2×C22⋊C4—22no—
1261C2×C22⋊C4—22no—
1262C2×C22⋊C4—24no—
1263C2×C22⋊C4—24no—
1264C2×C22⋊C4—24no—
1265C2×C22⋊C4—24no—
1266C2×C22⋊C4—24no—
1267C2×C22⋊C4C2×D412yes—
1268C2×C22⋊C4C2×D412yes—
1269C2×C22⋊C4C2×D412yes—
1270C2×C22⋊C4C2×D412yes—
1271C2×C22⋊C4C2×D412yes—
1272C2×C42—21no—
1273C2×C42—21no—
1274C2×C42—22no—
1275C2×C42—22no—
1276C2×C42C2×D411yescharacteristic
1277C2×C42C2×D411yescharacteristic
1278C2×C42C2×D411yescharacteristic
1279C2×C42C2×D411yescharacteristic
1280C2×C42C2×D411yescharacteristic
1281C2×C42C2×D411yescharacteristic
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289#107C2414yes—
1290#107C2414yes—
1291#106C2414yes—
1292#106C2414yes—
1293#106C2414yes—
1294#106C2414yes—
1295#106C2414yes—
1296#106C2414yes—
1297C4⋊C8C2414yes—
1298C4⋊C8C2412yes—
1299C4⋊C8C2412yes—
1300C4⋊C8C2414yes—
1301C4⋊C8C2412yes—
1302C4⋊C8C2412yes—
1303C4⋊C8C2418yes—
1304C4⋊C8C2418yes—
1305#103C2414yes—
1306#103C2414yes—
1307#103C2418yes—
1308#103C2418yes—
1309#103C2414yes—
1310#103C2414yes—
1311#103C2418yes—
1312#103C2414yes—
1313#103C2414yes—
1314#103C2418yes—
1315#103C2414yes—
1316#103C2414yes—
1317#103C2414yes—
1318#103C2414yes—
1319#102C2418yes—
1320#102C2418yes—
1321#102C2418yes—
1322#102C2418yes—
1323#102C2414yes—
1324#102C2414yes—
1325#102C2414yes—
1326#102C2414yes—
1327#102C2414yes—
1328#102C2414yes—
1329C22⋊C8C2412yes—
1330C22⋊C8C2412yes—
1331C22⋊C8C2412yes—
1332C22⋊C8C2414yes—
1333C22⋊C8C2418yes—
1334C22⋊C8C2412yes—
1335C22⋊C8C2414yes—
1336C22⋊C8C2418yes—
1337#97C2414yes—
1338#97C2418yes—
1339C4×C8C2414yes—
1340C4×C8C2412yes—
1341C4×C8C2412yes—
1342C4×C8C2412yes—
1343C4×C8C2412yes—
1344C4×C8C2418yes—
1345C24—22no—
1346C24—22no—
1347C24—24no—
1348C24C22×D411yescharacteristic
1349C24C22×D412yes—
1350#41—44no—
1351#41—48no—
1352#41—48no—
1353#41—48no—
1354#41—48no—
1355#41—48no—
1356#41—44no—
1357#41—44no—
1358#41—44no—
1359#41—84no—
1360#41—84no—
1361#41—88no—
1362#41—82no—
1363#41—82no—
1364#41—84no—
1365#41—84no—
1366#41—82no—
1367#41—84no—
1368#41—84no—
1369#41—88no—
1370#41—84no—
1371#41—84no—
1372C2×Q8—24no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—22no—
1377C2×Q8—21no—
1378C2×Q8—21no—
1379C2×Q8—21no—
1380C2×Q8—22no—
1381C2×Q8—22no—
1382C2×Q8—28no—
1383C2×Q8—24no—
1384C2×Q8—22no—
1385C2×Q8—42no—
1386C2×Q8—44no—
1387C2×Q8—42no—
1388C2×Q8—48no—
1389C2×Q8—48no—
1390C2×Q8—82no—
1391C2×Q8—82no—
1392C2×Q8—84no—
1393C2×Q8—84no—
1394C2×Q8—84no—
1395C2×Q8—88no—
1396C2×Q8C22×D412yes—
1397C2×Q8C22×D412yes—
1398C2×Q8C2512yes—
1399C2×Q8C2514yes—
1400C2×Q8C2512yes—
1401C2×Q8C2512yes—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—28no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—22no—
1416C2×D4—28no—
1417C2×D4—24no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—21no—
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—24no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—24no—
1430C2×D4—21no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—24no—
1434C2×D4—22no—
1435C2×D4—44no—
1436C2×D4—48no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—82no—
1440C2×D4—84no—
1441C2×D4—84no—
1442C2×D4—82no—
1443C2×D4—82no—
1444C2×D4—82no—
1445C2×D4—84no—
1446C2×D4—84no—
1447C2×D4—84no—
1448C2×D4—84no—
1449C2×D4—88no—
1450C2×D4—88no—
1451C2×D4C22×D412yes—
1452C2×D4C22×D412yes—
1453C2×D4C22×D414yes—
1454C2×D4C22×D414yes—
1455C2×D4C2514yes—
1456C2×D4C2512yes—
1457C2×D4C2512yes—
1458C2×D4C2512yes—
1459C22×C4—24no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—22no—
1464C22×C4—21no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—28no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—28no—
1482C22×C4—28no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—84no—
1486C22×C4—81no—
1487C22×C4—84no—
1488C22×C4—84no—
1489C22×C4—84no—
1490C22×C4—84no—
1491C22×C4C22×D412yes—
1492C22×C4C22×D411yescharacteristic
1493C22×C4C22×D411yescharacteristic
1494C22×C4C22×D411yescharacteristic
1495C22×C4C22×D411yescharacteristic
1496C22×C4C22×D411yescharacteristic
1497C22×C4C22×D411yescharacteristic
1498C22×C4C22×D411yescharacteristic
1499C22×C4C22×D411yescharacteristic
1500C22×C4C22×D411yescharacteristic
1501C22×C4C22×D411yescharacteristic
1502C22×C4C22×D411yescharacteristic
1503C22×C4C22×D411yescharacteristic
1504C22×C4C22×D411yescharacteristic
1505C22×C4C22×D411yescharacteristic
1506C22×C4C22×D412yes—
1507C22×C4C22×D412yes—
1508C22×C4C22×D414yes—
1509C22×C4C22×D411yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2514yes—
1514Q16—44no—
1515Q16—48no—
1516Q16—44no—
1517SD16—44no—
1518SD16—44no—
1519SD16—48no—
1520SD16—48no—
1521SD16—48no—
1522SD16—44no—
1523SD16—44no—
1524SD16—44no—
1525SD16—48no—
1526SD16—44no—
1527D8—48no—
1528D8—48no—
1529D8—48no—
1530M16—44no—
1531M16—48no—
1532C2×C8—48no—
1533C2×C8—44no—
1534C2×C8C2514yes—
1535C2×C8C2514yes—
1536C2×C8C2514yes—
1537C2×C8C2514yes—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—21no—
1557C4⋊C4—22no—
1558C4⋊C4—21no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—28no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—28no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—21no—
1571C4⋊C4—22no—
1572C4⋊C4—21no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—22no—
1582C4⋊C4C22×D414yes—
1583C4⋊C4C22×D414yes—
1584C4⋊C4C22×D412yes—
1585C4⋊C4C22×D412yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D412yes—
1591C4⋊C4C22×D412yes—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C2512yes—
1595C4⋊C4C2512yes—
1596C4⋊C4C2512yes—
1597C4⋊C4C2512yes—
1598C4⋊C4C2512yes—
1599C4⋊C4C2512yes—
1600C22⋊C4—22no—
1601C22⋊C4—24no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—22no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—22no—
1619C22⋊C4—22no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—22no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—22no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—22no—
1635C22⋊C4—22no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4C22×D414yes—
1641C22⋊C4C22×D414yes—
1642C22⋊C4C22×D414yes—
1643C22⋊C4C22×D414yes—
1644C22⋊C4C22×D414yes—
1645C22⋊C4C22×D414yes—
1646C22⋊C4C22×D414yes—
1647C22⋊C4C22×D414yes—
1648C22⋊C4C22×D414yes—
1649C22⋊C4C22×D414yes—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—28no—
1658C42—24no—
1659C42—24no—
1660C42C22×D411yescharacteristic
1661C42C22×D411yescharacteristic
1662C42C22×D411yescharacteristic
1663C42C22×D411yescharacteristic
1664C42C22×D411yescharacteristic
1665C42C22×D411yescharacteristic
1666C42C22×D411yescharacteristic
1667C42C22×D411yescharacteristic
1668C42C22×D411yescharacteristic
1669C42C22×D411yescharacteristic
1670C42C22×D411yescharacteristic
1671C42C22×D411yescharacteristic
1672C42C22×D414yes—
1673C42C2511yescharacteristic
1674C42C2511yescharacteristic
1675C42C2511yescharacteristic
1676C42C2514yes—
1677C42C2511yescharacteristic
1678C23—22no—
1679C23—24no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—42no—
1685C23—41no—
1686C23—41no—
1687C23—42no—
1688C23—44no—
1689C23—44no—
1690C23—44no—
1691C23—44no—
1692C23—82no—
1693C23—82no—
1694C23—84no—
1695C23—84no—
1696C23—84no—
1697C23C23×D411yescharacteristic
1698C23C23×D411yescharacteristic
1699C23C23×D414yes—
1700C23C23×D411yescharacteristic
1701Q8—24no—
1702Q8—24no—
1703Q8—22no—
1704Q8—22no—
1705Q8—28no—
1706Q8—24no—
1707Q8—22no—
1708Q8—22no—
1709Q8—42no—
1710Q8—44no—
1711Q8—42no—
1712Q8—42no—
1713Q8—42no—
1714Q8—42no—
1715Q8—88no—
1716Q8—82no—
1717Q8—82no—
1718Q8—84no—
1719Q8—82no—
1720Q8—81no—
1721D4—28no—
1722D4—24no—
1723D4—24no—
1724D4—24no—
1725D4—24no—
1726D4—24no—
1727D4—44no—
1728D4—44no—
1729D4—44no—
1730D4—44no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—82no—
1740D4—84no—
1741D4—82no—
1742D4—81no—
1743D4—81no—
1744D4—82no—
1745D4—82no—
1746D4—84no—
1747D4—82no—
1748D4—81no—
1749D4—84no—
1750D4—88no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—88no—
1755D4—84no—
1756D4—84no—
1757D4—82no—
1758D4—82no—
1759D4—84no—
1760D4—82no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—28no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—41no—
1782C2×C4—42no—
1783C2×C4—44no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—42no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—42no—
1794C2×C4—44no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—88no—
1802C2×C4—84no—
1803C2×C4—84no—
1804C2×C4—88no—
1805C2×C4—82no—
1806C2×C4—82no—
1807C2×C4—84no—
1808C2×C4—84no—
1809C2×C4—84no—
1810C2×C4—82no—
1811C2×C4—84no—
1812C2×C4—82no—
1813C2×C4—82no—
1814C2×C4—88no—
1815C2×C4—84no—
1816C2×C4#57714yes—
1817C2×C4C23×D411yescharacteristic
1818C2×C4C23×D411yescharacteristic
1819C2×C4C23×D414yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D414yes—
1822C2×C4C23×D411yescharacteristic
1823C2×C4C23×D411yescharacteristic
1824C2×C4C23×D411yescharacteristic
1825C2×C4C23×D411yescharacteristic
1826C2×C4C23×D411yescharacteristic
1827C2×C4C23×D411yescharacteristic
1828C2×C4C23×D411yescharacteristic
1829C2×C4C23×D411yescharacteristic
1830C2×C4C23×D411yescharacteristic
1831C2×C4C2611yescharacteristic
1832C8—24no—
1833C8—24no—
1834C8—24no—
1835C8—24no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—24no—
1841C22—21no—
1842C22—21no—
1843C22—24no—
1844C22—24no—
1845C22—21no—
1846C22—21no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—44no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—82no—
1860C22—84no—
1861C22—88no—
1862C22—164no—
1863C22—324no—
1864C22C2×#57712yes—
1865C22C24×D411yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—24no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—24no—
1874C4—21no—
1875C4—21no—
1876C4—21no—
1877C4—24no—
1878C4—42no—
1879C4—42no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—44no—
1886C4—42no—
1887C4—42no—
1888C4C2×#57712yes—
1889C4C2×#57712yes—
1890C4H(7,𝔽2)12yes—
1891C2—22no—
1892C2—41no—
1893C2—41no—
1894C2—44no—
1895C2—84no—
1896C2—82no—
1897C2—82no—
1898C2—82no—
1899C2#6285211yescharacteristic
1900C2C22×#57711yescharacteristic
1901C2#6309011yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #62830C2semidirect
2. C2×#3554C2semidirect
3. #62616C2semidirect
4. #62562C2semidirect
5. #62465C2semidirect
6. #62438C2semidirect
7. #62073C2semidirect
8. #62068C2semidirect
9. #62042C2semidirect
10. #62039C2semidirect
11. #61893C2semidirect
12. #61891C2semidirect
13. #61885C2semidirect
14. #61883C2semidirect
15. #61604C2semidirect
16. #61594C2semidirect
17. #61587C2semidirect
18. #61584C2semidirect
19. #61566C2semidirect
20. #61562C2semidirect
21. #60980C2semidirect
22. #60952C2semidirect
23. #60941C2semidirect
24. #60813C2semidirect
25. #60803C2semidirect
26. #60782C2semidirect
27. #60290C2semidirect
34. #3554C22semidirect
35. #3554C22semidirect
36. #3554C22semidirect
37. #3554C22semidirect
38. #3552C22semidirect
40. #3547C22semidirect
41. #3546C22semidirect
42. #3543C22semidirect
45. #3520C22semidirect
47. #3519C22semidirect
48. #3517C22semidirect
50. #3514C22semidirect
62. C2×#559C22semidirect
63. C2×#557C22semidirect
65. C2×#550C22semidirect
66. C2×D4×Q8C22semidirect
67. C2×#548C22semidirect
68. C2×#547C22semidirect
70. C2×#542C22semidirect
73. C2×#536C22semidirect
75. C2×#533C22semidirect
77. C2×#532C22semidirect
79. #3400C22semidirect
80. #3399C22semidirect
81. #3399C22semidirect
82. #3398C22semidirect
83. #3396C22semidirect
84. #3394C22semidirect
85. #3392C22semidirect
86. #3392C22semidirect
87. #3374C22semidirect
88. #3373C22semidirect
89. #3373C22semidirect
90. #3372C22semidirect
91. #3365C22semidirect
92. #3361C22semidirect
93. #3359C22semidirect
94. #3359C22semidirect
95. #3332C22semidirect
96. #3332C22semidirect
97. #3331C22semidirect
98. #3329C22semidirect
99. #3328C22semidirect
100. #3326C22semidirect
101. #3321C22semidirect
102. #3316C22semidirect
103. #3307C22semidirect
104. #3307C22semidirect
105. #3305C22semidirect
106. #3304C22semidirect
107. #3303C22semidirect
108. #3301C22semidirect
109. #3298C22semidirect
110. #3298C22semidirect
111. #3287C22semidirect
112. #3284C22semidirect
113. #3284C22semidirect
114. #3282C22semidirect
115. D4×SD16C22semidirect
116. D4×SD16C22semidirect
117. #3278C22semidirect
118. #3276C22semidirect
119. #3275C22semidirect
120. #3274C22semidirect
121. #3274C22semidirect
122. #3272C22semidirect
123. #3271C22semidirect
124. #3267C22semidirect
125. #3267C22semidirect
126. #3265C22semidirect
127. #3263C22semidirect
128. #3257C22semidirect
129. #3255C22semidirect
130. #3254C22semidirect
131. #3246C22semidirect
132. #3246C22semidirect
133. #3244C22semidirect
134. #3239C22semidirect
135. #3237C22semidirect
136. #3229C22semidirect
137. #3227C22semidirect
138. #3225C22semidirect
139. #3225C22semidirect
140. #3224C22semidirect
141. #3221C22semidirect
142. #3221C22semidirect
143. #3218C22semidirect
144. #3218C22semidirect
145. #3216C22semidirect
146. #3214C22semidirect
147. #3213C22semidirect
148. #3213C22semidirect
149. #3212C22semidirect
150. #3211C22semidirect
151. #3211C22semidirect
152. #3210C22semidirect
153. #3209C22semidirect
154. #3208C22semidirect
155. #3208C22semidirect
156. #3207C22semidirect
157. #3207C22semidirect
158. #3207C22semidirect
160. #3206C22semidirect
161. #3206C22semidirect
162. #3206C22semidirect
163. #3206C22semidirect
165. #3205C22semidirect
166. #3205C22semidirect
167. #3196C22semidirect
168. #3196C22semidirect
169. #3196C22semidirect
170. #3192C22semidirect
171. #3188C22semidirect
172. #3187C22semidirect
173. #3187C22semidirect
174. #3187C22semidirect
175. #3179C22semidirect
176. #3173C22semidirect
177. #3172C22semidirect
178. #3167C22semidirect
179. #3154C22semidirect
180. #3151C22semidirect
181. #3147C22semidirect
182. #3141C22semidirect
183. #3137C22semidirect
184. #3131C22semidirect
185. #3125C22semidirect
186. #3118C22semidirect
187. #3117C22semidirect
188. #3109C22semidirect
189. #3107C22semidirect
190. #3105C22semidirect
191. #3104C22semidirect
192. #3104C22semidirect
195. #3103C22semidirect
196. #3103C22semidirect
197. #3103C22semidirect
198. #3103C22semidirect
199. #3103C22semidirect
200. #3101C22semidirect
201. #3046C22semidirect
202. #3042C22semidirect
203. #3036C22semidirect
204. #3035C22semidirect
205. #3006C22semidirect
206. #3006C22semidirect
207. #3004C22semidirect
208. #3002C22semidirect
209. #3002C22semidirect
210. C2×#448C22semidirect
211. #2994C22semidirect
212. #2993C22semidirect
213. #2983C22semidirect
214. #2982C22semidirect
215. #2975C22semidirect
216. #2974C22semidirect
217. #2972C22semidirect
218. #2969C22semidirect
219. #2966C22semidirect
220. #2924C22semidirect
221. #2920C22semidirect
222. C2×#431C22semidirect

Maximal subgroups

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

subgroupindex
#628302
C2×#35542
#626162
#625622
#624652
#624382
#620732
#620682
#620422
#620392
#618932
#618912
#618852
#618832
#616042
#615942
#615872
#615842
#615662
#615622
#609802
#609522
#609412
#608132
#608032
#607822
#602902