Finite Group Databasebeta

← #10582674

Subgroups — #10582674

Order 512.

6107 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2C2×#3544C211yesmaximal, characteristic, complemented
3#62617C214yesmaximal, complemented
4#62552C214yesmaximal, complemented
5#62521C214yesmaximal, complemented
6#62486C214yesmaximal, complemented
7#62202C214yesmaximal, complemented
8#62200C214yesmaximal, complemented
9#62185C214yesmaximal, complemented
10#62179C214yesmaximal, complemented
11#61830C211yesmaximal, characteristic, complemented
12#61825C211yesmaximal, characteristic, complemented
13#61820C211yesmaximal, characteristic, complemented
14#61819C211yesmaximal, characteristic, complemented
15#61729C214yesmaximal, complemented
16#61728C214yesmaximal, complemented
17#61720C211yesmaximal, characteristic, complemented
18#61719C211yesmaximal, characteristic, complemented
19#61700C211yesmaximal, characteristic, complemented
20#61697C211yesmaximal, characteristic, complemented
21#60980C214yesmaximal, complemented
22#60949C211yesmaximal, characteristic, complemented
23#60942C211yesmaximal, characteristic, complemented
24#60873C214yesmaximal, complemented
25#60860C211yesmaximal, characteristic, complemented
26C2×#3227C211yesmaximal, characteristic, complemented
27#60290C211yesmaximal, characteristic, complemented
28#3562—22no—
29#3560—22no—
30#3552C2212yescomplemented
31#3551—22no—
32#3547C2212yescomplemented
33#3546C2212yescomplemented
34#3544—22no—
35#3544—22no—
36#3544—22no—
37#3544—22no—
38#3544C2214yescomplemented
39#3544C2214yescomplemented
40#3544C2214yescomplemented
41#3544C2214yescomplemented
42#3543C2212yescomplemented
43#3534—22no—
44C2×#563—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×Q82C2211yescharacteristic, complemented
62C2×#555C2211yescharacteristic, complemented
63C2×#554C2211yescharacteristic, complemented
64C2×#554C2211yescharacteristic, complemented
65C2×#552—21no—
66C2×#552C2212yescomplemented
67C2×#547—21no—
68C2×#547C2212yescomplemented
69C2×#544—21no—
70C2×#544C2212yescomplemented
71C2×#542—21no—
72C2×#542C2212yescomplemented
73C2×#536—22no—
74#3444C2211yescharacteristic
75C2×#532C2211yescharacteristic
76C22×C4⋊Q8C2211yescharacteristic, complemented
77C2×#529C2211yescharacteristic
78C2×#529C2211yescharacteristic, complemented
79#3387C2214yescomplemented
80#3385C2214yescomplemented
81#3384C2214yescomplemented
82#3384C2214yescomplemented
83#3381C2214yescomplemented
84#3380C2214yescomplemented
85Q8×SD16C2214yescomplemented
86Q8×SD16C2214yescomplemented
87#3375C2214yescomplemented
88#3369C2214yescomplemented
89#3366C2214yescomplemented
90#3366C2214yescomplemented
91#3362C2214yescomplemented
92#3362C2214yescomplemented
93#3361C2214yescomplemented
94#3360C2214yescomplemented
95#3357C2214yescomplemented
96#3356C2214yescomplemented
97#3354C2214yescomplemented
98#3354C2214yescomplemented
99#3354C2218yescomplemented
100#3351C2218yescomplemented
101#3348C2218yescomplemented
102#3345C2218yescomplemented
103#3345C2218yescomplemented
104#3344C2218yescomplemented
105#3341C2214yescomplemented
106#3340C2214yescomplemented
107#3337C2218yescomplemented
108#3335C2214yescomplemented
109#3335C2214yescomplemented
110#3335C2218yescomplemented
111#3333C2214yescomplemented
112#3332C2218yescomplemented
113#3331C2214yescomplemented
114#3325C2214yescomplemented
115#3325C2214yescomplemented
116#3323C2218yescomplemented
117#3317C2218yescomplemented
118#3310C2218yescomplemented
119#3306C2218yescomplemented
120#3306C2218yescomplemented
121#3305C2214yescomplemented
122#3303C2214yescomplemented
123#3296C2218yescomplemented
124#3295C2214yescomplemented
125#3295C2214yescomplemented
126#3294C2218yescomplemented
127#3263C2218yescomplemented
128#3257C2218yescomplemented
129#3251C2212yescomplemented
130#3251C2212yescomplemented
131#3248C2212yescomplemented
132#3247C2212yescomplemented
133#3244C2218yescomplemented
134#3244C2218yescomplemented
135#3244C2218yescomplemented
136#3241C2218yescomplemented
137#3241C2218yescomplemented
138#3239C2212yescomplemented
139#3239C2214yescomplemented
140#3239C2214yescomplemented
141#3238C2214yescomplemented
142#3234C2212yescomplemented
143#3234C2214yescomplemented
144#3233C2212yescomplemented
145#3232C2212yescomplemented
146#3232C2214yescomplemented
147#3230C2211yescharacteristic, complemented
148#3230C2211yescharacteristic, complemented
149#3229C2212yescomplemented
150#3227C2211yescharacteristic
151#3227C2211yescharacteristic
152#3227C2211yescharacteristic, complemented
153#3227C2211yescharacteristic, complemented
154#3227C2211yescharacteristic, complemented
155#3227C2211yescharacteristic, complemented
156#3227C2214yescomplemented
157#3227C2214yescomplemented
158#3227C2214yescomplemented
159#3227C2212yescomplemented
160#3227C2212yescomplemented
161#3226C2212yescomplemented
162#3224C2218yescomplemented
163#3217C2212yescomplemented
164#3213C2212yescomplemented
165#3212C2212yescomplemented
166#3211C2212yescomplemented
167#3196C2214yescomplemented
168#3193C2212yescomplemented
169#3192C2212yescomplemented
170#3192C2214yescomplemented
171#3190C2212yescomplemented
172#3188C2214yescomplemented
173#3188C2212yescomplemented
174#3187C2214yescomplemented
175#3179C2218yescomplemented
176#3173C2218yescomplemented
177#3171C2214yescomplemented
178#3168C2214yescomplemented
179#3165C2212yescomplemented
180#3163C2218yescomplemented
181C2×#498C2212yescomplemented
182#3141C2212yescomplemented
183#3136C2218yescomplemented
184C2×#486C2212yescomplemented
185#3125C2218yescomplemented
186#3118C2218yescomplemented
187#3117C2214yescomplemented
188#3109C2214yescomplemented
189#3105C2214yescomplemented
190#3105C2214yescomplemented
191#3104C2211yescharacteristic, complemented
192#3103C2211yescharacteristic
193#3103C2211yescharacteristic, complemented
194#3103C2211yescharacteristic, complemented
195#3103C2214yescomplemented
196#3102C2214yescomplemented
197#3101C2211yescharacteristic, complemented
198#3100C2211yescharacteristic
199#3100C2211yescharacteristic, complemented
200#3100C2211yescharacteristic, complemented
201#3094C2214yescomplemented
202#3092C2214yescomplemented
203#3092C2214yescomplemented
204#3091C2214yescomplemented
205C2×#481C2214yescomplemented
206C2×#481C2214yescomplemented
207#3084C2218yescomplemented
208#3081C2218yescomplemented
209#3079C2214yescomplemented
210C2×#476C2214yescomplemented
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—22no—
226C22×#41—21no—
227C23×Q8—21no—
228#563—28no—
229#563—28no—
230#563—28no—
231#563—28no—
232#563—24no—
233#562—24no—
234#560—24no—
235#560—24no—
236#559—22no—
237#559C2312yes—
238Q82—22no—
239Q82—22no—
240Q82C2314yes—
241Q82C2314yes—
242#557C2312yes—
243#556—22no—
244#556C2312yes—
245#556C2312yes—
246#555—22no—
247#555—22no—
248#555—24no—
249#555C2314yes—
250#555C2312yes—
251#555C2314yes—
252#555C2314yes—
253#554—22no—
254#554—22no—
255#554—22no—
256#554—22no—
257#554C2314yes—
258#554C2314yes—
259#554C2312yes—
260#554C2314yes—
261#554C2314yes—
262#554C2314yes—
263#553—24no—
264#553—22no—
265#553—22no—
266#553—22no—
267#553—24no—
268#553—24no—
269#553—24no—
270#553C2314yes—
271#553C2314yes—
272#552—22no—
273#552—22no—
274#552—24no—
275#552—24no—
276#552—24no—
277#552—24no—
278#552—22no—
279#552—24no—
280#552—24no—
281#552C2318yes—
282#552C2318yes—
283#551—24no—
284#551—24no—
285#551—24no—
286#551—24no—
287#550—22no—
288#550C2314yes—
289#550C2312yes—
290#550C2312yes—
291#550C2312yes—
292D4×Q8—22no—
293D4×Q8C2312yes—
294D4×Q8C2312yes—
295#548—22no—
296#548—22no—
297#548—22no—
298#548—22no—
299#548—22no—
300#548—22no—
301#547—22no—
302#547—24no—
303#547—24no—
304#547—24no—
305#547—24no—
306#547—24no—
307#547—24no—
308#547—24no—
309#547C2312yes—
310#547C2318yes—
311#547C2312yes—
312#547C2312yes—
313#547C2318yes—
314#546—22no—
315#546—22no—
316#546—24no—
317#546—22no—
318#546—22no—
319#546—22no—
320#546—22no—
321#546—24no—
322#546—24no—
323#546—24no—
324#546—24no—
325#546C2314yes—
326#546C2314yes—
327D42—24no—
328D42—22no—
329D42C2312yes—
330D42C2312yes—
331D42C2314yes—
332#544—24no—
333#544—24no—
334#544—24no—
335#544—24no—
336#544—24no—
337#544—24no—
338#544C2318yes—
339#544C2318yes—
340#544C2314yes—
341#542—24no—
342#542—24no—
343#542—24no—
344#542—24no—
345#542—24no—
346#542—24no—
347#542—24no—
348#542C2318yes—
349#542C2314yes—
350#542C2318yes—
351#542C2314yes—
352#541—22no—
353#540—22no—
354#540—24no—
355#540—24no—
356#540C2314yes—
357#540C2314yes—
358#539—24no—
359#539—24no—
360#539—22no—
361#538—24no—
362#538—24no—
363#538—24no—
364#538—24no—
365#538—24no—
366#538—22no—
367#537—22no—
368#537—22no—
369#537—21no—
370#537—21no—
371#537—22no—
372#536—21no—
373#536—22no—
374#536—28no—
375#536—28no—
376#536—28no—
377#536—28no—
378#536—22no—
379#535—21no—
380#535—22no—
381#535—22no—
382#535C2314yes—
383#534—24no—
384#534—22no—
385#533C2311yescharacteristic
386#533C2311yescharacteristic
387#533C2311yescharacteristic
388#532—22no—
389#532—21no—
390#532—21no—
391#532—21no—
392#532—21no—
393#532C2311yescharacteristic
394#532C2311yescharacteristic
395#532C2311yescharacteristic
396#532C2311yescharacteristic
397#532C2314yes—
398#532C2312yes—
399#532C2312yes—
400#532C2311yescharacteristic
401#532C2311yescharacteristic
402#532C2311yescharacteristic
403C2×C4⋊Q8—22no—
404C2×C4⋊Q8—22no—
405C2×C4⋊Q8—21no—
406C2×C4⋊Q8—21no—
407C2×C4⋊Q8—21no—
408C2×C4⋊Q8—21no—
409C2×C4⋊Q8—21no—
410C2×C4⋊Q8—21no—
411C2×C4⋊Q8—21no—
412C2×C4⋊Q8C2312yes—
413C2×C4⋊Q8C2312yes—
414C2×C4⋊Q8C2312yes—
415C2×C4⋊Q8C2311yescharacteristic
416C2×C4⋊Q8C2312yes—
417C2×C4⋊Q8C2311yescharacteristic
418C2×C4⋊Q8C2311yescharacteristic
419C2×C4⋊Q8C2312yes—
420C2×C4⋊Q8C2312yes—
421C2×#127C2311yescharacteristic
422#529—22no—
423#529—22no—
424#529—21no—
425#529—21no—
426#529—21no—
427#529—21no—
428#529—21no—
429#529—21no—
430#529—21no—
431#529—21no—
432#529D412yes—
433#529D412yes—
434#529D412yes—
435#529D412yes—
436#529C2312yes—
437#529C2312yes—
438#529C2314yes—
439#529C2312yes—
440#529C2312yes—
441#529C2312yes—
442#529C2312yes—
443#529C2312yes—
444#529C2312yes—
445#529C2312yes—
446#529C2312yes—
447C2×#126—22no—
448C2×#126—22no—
449C2×#126—21no—
450C2×#126D412yes—
451C2×#125—21no—
452C2×#125—22no—
453C2×#125—22no—
454C2×#125D411yescharacteristic
455C2×#125C2311yescharacteristic
456C2×#125C2312yes—
457C2×#124—22no—
458C2×#124—22no—
459C2×#124—22no—
460C2×#124—21no—
461C2×#124D411yescharacteristic
462C2×#124C2311yescharacteristic
463#525—21no—
464#525—21no—
465#525—22no—
466#525—22no—
467#525C2314yes—
468#525C2312yes—
469C2×#123—22no—
470C2×#123—21no—
471C2×#123—22no—
472C2×#123—22no—
473C2×#123—22no—
474C2×#123D412yes—
475C2×C22⋊Q8—21no—
476C2×C22⋊Q8—22no—
477C2×C22⋊Q8—22no—
478C2×C22⋊Q8—22no—
479C2×C22⋊Q8—22no—
480C2×C22⋊Q8—22no—
481C2×C22⋊Q8—22no—
482C2×C22⋊Q8—22no—
483C2×C22⋊Q8D411yescharacteristic
484C2×C22⋊Q8C2311yescharacteristic
485C2×C22⋊Q8C2312yes—
486C2×#121—21no—
487C2×#121—21no—
488C2×#121—22no—
489C2×#121D411yescharacteristic
490C2×#121C2312yes—
491C2×#121C2314yes—
492C2×#121C2311yescharacteristic
493C2×#121C2312yes—
494#520—21no—
495#520—21no—
496#520C2314yes—
497#518—24no—
498#518C2314yes—
499C4×#41—21no—
500C4×#41—21no—
501C4×#41C2312yes—
502C2×C4×Q8—21no—
503C2×C4×Q8C2311yescharacteristic
504C2×C4×Q8C2312yes—
505C2×C4×Q8C2311yescharacteristic
506C2×C4×D4—21no—
507C2×C4×D4—21no—
508C2×C4×D4—21no—
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×#117—21no—
515C2×#117—22no—
516C2×#117—21no—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C22×C4⋊C4—21no—
520C22×C4⋊C4—21no—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C42C2311yescharacteristic
524#501C2318yes—
525#501C2318yes—
526#501C2314yes—
527#501C2318yes—
528#500C2312yes—
529#500C2312yes—
530#499C2318yes—
531#499C2314yes—
532#498C2312yes—
533#498C2312yes—
534#498C2318yes—
535#498C2312yes—
536#498C2312yes—
537#498C2312yes—
538#498C2312yes—
539#498C2318yes—
540#496C2314yes—
541#495C2314yes—
542#490C2318yes—
543#490C2314yes—
544#489C2318yes—
545#489C2318yes—
546#489C2314yes—
547#488C2318yes—
548#488C2314yes—
549#488C2314yes—
550#487C2312yes—
551#487C2312yes—
552#486C2318yes—
553#486C2312yes—
554#486C2312yes—
555#486C2312yes—
556#486C2312yes—
557#486C2312yes—
558#486C2312yes—
559#486C2318yes—
560#485C2318yes—
561#485C2318yes—
562#485C2314yes—
563#484C2314yes—
564#484C2314yes—
565#484C2312yes—
566#484C2314yes—
567#483C2318yes—
568#483C2318yes—
569#483C2318yes—
570#483C2312yes—
571#482C2318yes—
572#482C2318yes—
573#482C2318yes—
574#482C2314yes—
575#482C2318yes—
576#481C2318yes—
577#481C2318yes—
578#481C2314yes—
579#481C2318yes—
580#481C2318yes—
581#481C2312yes—
582#481C2312yes—
583#481C2314yes—
584#481C2314yes—
585#481C2314yes—
586#481C2314yes—
587#481C2318yes—
588#481C2314yes—
589#481C2312yes—
590#481C2314yes—
591#480C2318yes—
592#480C2318yes—
593#480C2312yes—
594#480C2312yes—
595#480C2312yes—
596#479C2318yes—
597#479C2314yes—
598#479C2318yes—
599#478C2314yes—
600#478C2314yes—
601#478C2318yes—
602#478C2318yes—
603#478C2314yes—
604#478C2318yes—
605#478C2318yes—
606#477C2314yes—
607#477C2314yes—
608#477C2312yes—
609#476C2314yes—
610#476C2314yes—
611#476C2314yes—
612#476C2318yes—
613#476C2314yes—
614#476C2318yes—
615#476C2318yes—
616#476C2318yes—
617#476C2318yes—
618#476C2312yes—
619#476C2314yes—
620#476C2314yes—
621#475C2318yes—
622#475C2318yes—
623#475C2312yes—
624#475C2312yes—
625#475C2318yes—
626#475C2312yes—
627#474C2318yes—
628#474C2318yes—
629#474C2312yes—
630#474C2312yes—
631#474C2312yes—
632#470C2318yes—
633#469C2314yes—
634#469C2318yes—
635#469C2314yes—
636#469C2318yes—
637#468C2318yes—
638#468C2314yes—
639#468C2314yes—
640#467C2314yes—
641#466C2318yes—
642#466C2314yes—
643#465C2314yes—
644#465C2318yes—
645#465C2318yes—
646#465C2318yes—
647#465C2314yes—
648#464C2314yes—
649#464C2318yes—
650#463C2314yes—
651#463C2318yes—
652#463C2314yes—
653#463C2314yes—
654#462C2312yes—
655#461C2312yes—
656#460C2312yes—
657#460C2312yes—
658#460C2312yes—
659#460C2318yes—
660#459C2318yes—
661#459C2312yes—
662#459C2312yes—
663#459C2312yes—
664#452C2318yes—
665#452C2314yes—
666#451C2312yes—
667#450C2312yes—
668#450C2314yes—
669#450C2318yes—
670#449C2314yes—
671#449C2318yes—
672#448C2312yes—
673#448C2312yes—
674#448C2312yes—
675#447C2312yes—
676#447C2312yes—
677#447C2312yes—
678#447C2314yes—
679#447C2318yes—
680#446C2314yes—
681#446C2314yes—
682C8×Q8C2314yes—
683C8×Q8C2314yes—
684#442C2318yes—
685#442C2318yes—
686#441C2318yes—
687#440C2318yes—
688C4×Q16C2314yes—
689C4×SD16C2314yes—
690C4×SD16C2318yes—
691C4×SD16C2314yes—
692C4×SD16C2314yes—
693C4×SD16C2318yes—
694C4×SD16C2314yes—
695C4×SD16C2318yes—
696C4×D8C2314yes—
697C4×D8C2314yes—
698C4×D8C2314yes—
699C4×D8C2318yes—
700#436C2314yes—
701#436C2318yes—
702#436C2314yes—
703#435C2318yes—
704#435C2318yes—
705C8×D4C2318yes—
706C8×D4C2314yes—
707C8×D4C2314yes—
708#433C2318yes—
709#433C2318yes—
710#432C2314yes—
711#432C2312yes—
712#432C2312yes—
713#431C2311yescharacteristic
714#431C2311yescharacteristic
715#431C2311yescharacteristic
716#431C2311yescharacteristic
717#431C2312yes—
718#431C2314yes—
719#431C2312yes—
720#431C2312yes—
721#431C2312yes—
722#428C2318yes—
723#428C2318yes—
724#428C2318yes—
725#427C2318yes—
726C2×#106C2318yes—
727C2×#106C2318yes—
728#424C2318yes—
729#423C2312yes—
730C2×C4⋊C8C2312yes—
731#418C2318yes—
732#417C2318yes—
733#417C2318yes—
734#416C2318yes—
735C2×#102C2318yes—
736C2×#102C2318yes—
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—28no—
751C2×#41—28no—
752C2×#41—21no—
753C2×#41—21no—
754C2×#41—21no—
755C2×#41—21no—
756C2×#41—22no—
757C2×#41—22no—
758C2×#41—21no—
759C2×#41—21no—
760C2×#41—24no—
761C2×#41—84no—
762C2×#41—88no—
763C2×#41C2412yes—
764C2×#41C2414yes—
765C22×Q8—22no—
766C22×Q8—22no—
767C22×Q8—21no—
768C22×Q8—22no—
769C22×Q8—22no—
770C22×Q8—21no—
771C22×Q8—21no—
772C22×Q8—22no—
773C22×Q8—22no—
774C22×Q8—22no—
775C22×Q8—22no—
776C22×Q8—84no—
777C22×Q8C2×D411yescharacteristic
778C22×Q8C2411yescharacteristic
779C22×D4—21no—
780C22×D4—22no—
781C22×D4—22no—
782C22×D4—24no—
783C22×D4—24no—
784C22×D4—22no—
785C22×D4—22no—
786C22×D4—21no—
787C22×D4—21no—
788C22×D4C2×D411yescharacteristic
789C22×D4C2×D412yes—
790C22×D4C2411yescharacteristic
791C22×D4C2412yes—
792C22×D4C2414yes—
793C23×C4—22no—
794C23×C4—22no—
795C23×C4—21no—
796C23×C4—22no—
797C23×C4—22no—
798C23×C4C2×D411yescharacteristic
799C23×C4C2×D411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2412yes—
802C2×Q16C2414yes—
803C2×SD16C2414yes—
804C2×SD16C2414yes—
805C2×SD16C2414yes—
806C2×SD16C2414yes—
807C2×D8C2414yes—
808C2×D8C2414yes—
809C2×D8C2414yes—
810C2×M16C2414yes—
811C2×M16C2418yes—
812C22×C8C2414yes—
813C22×C8C2418yes—
814C4⋊Q8—22no—
815C4⋊Q8—28no—
816C4⋊Q8—28no—
817C4⋊Q8—28no—
818C4⋊Q8—28no—
819C4⋊Q8—24no—
820C4⋊Q8—24no—
821C4⋊Q8—24no—
822C4⋊Q8—22no—
823C4⋊Q8—22no—
824C4⋊Q8—22no—
825C4⋊Q8—22no—
826C4⋊Q8—22no—
827C4⋊Q8—22no—
828C4⋊Q8—21no—
829C4⋊Q8—21no—
830C4⋊Q8—21no—
831C4⋊Q8—21no—
832C4⋊Q8—22no—
833C4⋊Q8—22no—
834C4⋊Q8—22no—
835C4⋊Q8—22no—
836C4⋊Q8—21no—
837C4⋊Q8—21no—
838C4⋊Q8—24no—
839C4⋊Q8C2411yescharacteristic
840C4⋊Q8C2414yes—
841C4⋊Q8C2414yes—
842C4⋊Q8C2412yes—
843C4⋊Q8C2412yes—
844C4⋊Q8C2412yes—
845C4⋊Q8C2412yes—
846C4⋊Q8C2412yes—
847C4⋊Q8C2411yescharacteristic
848C4⋊Q8C2411yescharacteristic
849C4⋊Q8C2418yes—
850C4⋊Q8C2411yescharacteristic
851C4⋊Q8C2411yescharacteristic
852C4⋊Q8C2414yes—
853#127—22no—
854#127—24no—
855#127—21no—
856#127—21no—
857#127C2412yes—
858#127C2411yescharacteristic
859#127C2411yescharacteristic
860#127C2411yescharacteristic
861#127C2414yes—
862#126—28no—
863#126—28no—
864#126—24no—
865#126—24no—
866#126—24no—
867#126—24no—
868#126—24no—
869#126—28no—
870#126—28no—
871#126—24no—
872#126—22no—
873#126—22no—
874#126—22no—
875#126—22no—
876#126—22no—
877#126—22no—
878#126—24no—
879#126C2×D414yes—
880#126C2×D414yes—
881#126C2×D414yes—
882#126C2×D414yes—
883#125—24no—
884#125—24no—
885#125—28no—
886#125—28no—
887#125—28no—
888#125—28no—
889#125—24no—
890#125—24no—
891#125—24no—
892#125—21no—
893#125—21no—
894#125—24no—
895#125—21no—
896#125—21no—
897#125C2×D412yes—
898#125C2×D412yes—
899#125C2×D412yes—
900#125C2×D412yes—
901#125C2412yes—
902#125C2412yes—
903#125C2418yes—
904#125C2412yes—
905#125C2414yes—
906#124—22no—
907#124—22no—
908#124—28no—
909#124—28no—
910#124—28no—
911#124—28no—
912#124—24no—
913#124—24no—
914#124—24no—
915#124—24no—
916#124—24no—
917#124—21no—
918#124—21no—
919#124—22no—
920#124—21no—
921#124—21no—
922#124—22no—
923#124—21no—
924#124—21no—
925#124—21no—
926#124—21no—
927#124—24no—
928#124C2×D412yes—
929#124C2×D412yes—
930#124C2×D412yes—
931#124C2×D412yes—
932#124C2412yes—
933#124C2412yes—
934#124C2412yes—
935#124C2414yes—
936#123—28no—
937#123—28no—
938#123—22no—
939#123—22no—
940#123—22no—
941#123—22no—
942#123—22no—
943#123—22no—
944#123—22no—
945#123—24no—
946#123—24no—
947#123—24no—
948#123—24no—
949#123—24no—
950#123—24no—
951#123—24no—
952#123—24no—
953#123—24no—
954#123—28no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—24no—
961#123—24no—
962#123—24no—
963#123—24no—
964#123—24no—
965#123—24no—
966#123—24no—
967#123C2×D414yes—
968#123C2×D414yes—
969#123C2×D414yes—
970#123C2×D414yes—
971C22⋊Q8—22no—
972C22⋊Q8—24no—
973C22⋊Q8—24no—
974C22⋊Q8—22no—
975C22⋊Q8—21no—
976C22⋊Q8—21no—
977C22⋊Q8—21no—
978C22⋊Q8—24no—
979C22⋊Q8—21no—
980C22⋊Q8—21no—
981C22⋊Q8—21no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—22no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—22no—
991C22⋊Q8—22no—
992C22⋊Q8—22no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—24no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8C2×D412yes—
1008C22⋊Q8C2×D412yes—
1009C22⋊Q8C2×D412yes—
1010C22⋊Q8C2×D412yes—
1011C22⋊Q8C2412yes—
1012C22⋊Q8C2412yes—
1013C22⋊Q8C2418yes—
1014C22⋊Q8C2412yes—
1015C22⋊Q8C2412yes—
1016C22⋊Q8C2414yes—
1017#121—22no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—22no—
1022#121—24no—
1023#121—24no—
1024#121—21no—
1025#121—21no—
1026#121—21no—
1027#121—21no—
1028#121—21no—
1029#121—22no—
1030#121—22no—
1031#121—21no—
1032#121—21no—
1033#121—22no—
1034#121—22no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121—21no—
1039#121—21no—
1040#121—21no—
1041#121—24no—
1042#121—22no—
1043#121—22no—
1044#121—22no—
1045#121—22no—
1046#121—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—24no—
1055#121—24no—
1056#121—24no—
1057#121—24no—
1058#121—24no—
1059#121—24no—
1060#121C2×D412yes—
1061#121C2×D412yes—
1062#121C2×D412yes—
1063#121C2×D412yes—
1064#121C2412yes—
1065#121C2412yes—
1066#121C2412yes—
1067#121C2412yes—
1068#121C2412yes—
1069#121C2412yes—
1070#121C2412yes—
1071#121C2414yes—
1072#121C2414yes—
1073#121C2418yes—
1074#121C2412yes—
1075#121C2414yes—
1076#120—22no—
1077#120—24no—
1078#120—24no—
1079#120—24no—
1080#120—24no—
1081#120—24no—
1082#120—24no—
1083#120—24no—
1084#120—24no—
1085#120—24no—
1086C4×Q8—24no—
1087C4×Q8—24no—
1088C4×Q8—22no—
1089C4×Q8—22no—
1090C4×Q8—21no—
1091C4×Q8—21no—
1092C4×Q8—24no—
1093C4×Q8—21no—
1094C4×Q8—21no—
1095C4×Q8—21no—
1096C4×Q8—21no—
1097C4×Q8C2×D412yes—
1098C4×Q8C2×D412yes—
1099C4×Q8C2412yes—
1100C4×Q8C2412yes—
1101C4×Q8C2418yes—
1102C4×Q8C2412yes—
1103C4×Q8C2412yes—
1104C4×Q8C2414yes—
1105C4×Q8C2412yes—
1106C4×Q8C2412yes—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—22no—
1111C4×D4—22no—
1112C4×D4—22no—
1113C4×D4—22no—
1114C4×D4—22no—
1115C4×D4—22no—
1116C4×D4—22no—
1117C4×D4—22no—
1118C4×D4—22no—
1119C4×D4—22no—
1120C4×D4—24no—
1121C4×D4—24no—
1122C4×D4—24no—
1123C4×D4—24no—
1124C4×D4—24no—
1125C4×D4—24no—
1126C4×D4—22no—
1127C4×D4—22no—
1128C4×D4—24no—
1129C4×D4—24no—
1130C4×D4—24no—
1131C4×D4—24no—
1132C4×D4—21no—
1133C4×D4—22no—
1134C4×D4—21no—
1135C4×D4—21no—
1136C4×D4—22no—
1137C4×D4—21no—
1138C4×D4—21no—
1139C4×D4—21no—
1140C4×D4—22no—
1141C4×D4—22no—
1142C4×D4—24no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4—21no—
1146C4×D4—21no—
1147C4×D4—24no—
1148C4×D4C2×D414yes—
1149C4×D4C2×D414yes—
1150C4×D4C2×D412yes—
1151C4×D4C2×D412yes—
1152C4×D4C2412yes—
1153C4×D4C2412yes—
1154C4×D4C2412yes—
1155C4×D4C2412yes—
1156C4×D4C2412yes—
1157C4×D4C2412yes—
1158C4×D4C2418yes—
1159C4×D4C2412yes—
1160C4×D4C2412yes—
1161C4×D4C2414yes—
1162C4×D4C2414yes—
1163C4×D4C2414yes—
1164C4×D4C2414yes—
1165C4×D4C2412yes—
1166C4×D4C2412yes—
1167C4×D4C2414yes—
1168#117—24no—
1169#117—21no—
1170#117—21no—
1171#117—24no—
1172#117—24no—
1173#117—24no—
1174#117—22no—
1175#117—22no—
1176#117—24no—
1177#117—28no—
1178#117—28no—
1179#117—22no—
1180#117—22no—
1181#117—22no—
1182#117—22no—
1183#117—22no—
1184#117—22no—
1185#117—22no—
1186#117—24no—
1187#117C2×D414yes—
1188#117C2×D414yes—
1189#117C2418yes—
1190#117C2412yes—
1191#117C2414yes—
1192#117C2414yes—
1193#117C2414yes—
1194C2×C4⋊C4—21no—
1195C2×C4⋊C4—21no—
1196C2×C4⋊C4—22no—
1197C2×C4⋊C4—22no—
1198C2×C4⋊C4—22no—
1199C2×C4⋊C4—22no—
1200C2×C4⋊C4—22no—
1201C2×C4⋊C4—22no—
1202C2×C4⋊C4—22no—
1203C2×C4⋊C4—22no—
1204C2×C4⋊C4—22no—
1205C2×C4⋊C4—22no—
1206C2×C4⋊C4—24no—
1207C2×C4⋊C4—22no—
1208C2×C4⋊C4—22no—
1209C2×C4⋊C4—21no—
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—21no—
1213C2×C4⋊C4—22no—
1214C2×C4⋊C4—21no—
1215C2×C4⋊C4—22no—
1216C2×C4⋊C4—24no—
1217C2×C4⋊C4—24no—
1218C2×C4⋊C4—22no—
1219C2×C4⋊C4—22no—
1220C2×C4⋊C4—24no—
1221C2×C4⋊C4C2×D411yescharacteristic
1222C2×C4⋊C4C2×D411yescharacteristic
1223C2×C4⋊C4C2×D412yes—
1224C2×C4⋊C4C2×D412yes—
1225C2×C4⋊C4C2×D412yes—
1226C2×C4⋊C4C2×D412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2414yes—
1231C2×C4⋊C4C2414yes—
1232C2×C4⋊C4C2418yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2414yes—
1236C2×C22⋊C4—21no—
1237C2×C22⋊C4—22no—
1238C2×C22⋊C4—22no—
1239C2×C22⋊C4—21no—
1240C2×C22⋊C4—22no—
1241C2×C22⋊C4—21no—
1242C2×C22⋊C4—22no—
1243C2×C22⋊C4—21no—
1244C2×C22⋊C4—22no—
1245C2×C22⋊C4—22no—
1246C2×C22⋊C4—21no—
1247C2×C22⋊C4—24no—
1248C2×C22⋊C4—24no—
1249C2×C22⋊C4—24no—
1250C2×C22⋊C4—24no—
1251C2×C22⋊C4—24no—
1252C2×C22⋊C4C2×D412yes—
1253C2×C22⋊C4C2×D412yes—
1254C2×C22⋊C4C2×D412yes—
1255C2×C22⋊C4C2×D412yes—
1256C2×C22⋊C4C2×D412yes—
1257C2×C42—22no—
1258C2×C42—21no—
1259C2×C42—22no—
1260C2×C42—22no—
1261C2×C42C2×D411yescharacteristic
1262C2×C42C2×D411yescharacteristic
1263C2×C42C2×D411yescharacteristic
1264C2×C42C2×D411yescharacteristic
1265C2×C42C2×D411yescharacteristic
1266C2×C42C2×D411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274#107C2414yes—
1275#107C2418yes—
1276#107C2414yes—
1277#107C2418yes—
1278#107C2414yes—
1279#107C2414yes—
1280#106C2414yes—
1281#106C2418yes—
1282#106C2414yes—
1283#106C2418yes—
1284#106C2418yes—
1285#106C2418yes—
1286#106C2418yes—
1287#106C2414yes—
1288#106C2418yes—
1289#106C2414yes—
1290C4⋊C8C2414yes—
1291C4⋊C8C2412yes—
1292C4⋊C8C2412yes—
1293C4⋊C8C2414yes—
1294C4⋊C8C2412yes—
1295C4⋊C8C2412yes—
1296C4⋊C8C2418yes—
1297C4⋊C8C2418yes—
1298#103C2414yes—
1299#103C2418yes—
1300#103C2418yes—
1301#103C2414yes—
1302#103C2414yes—
1303#103C2414yes—
1304#103C2414yes—
1305#103C2414yes—
1306#102C2418yes—
1307#102C2414yes—
1308#102C2414yes—
1309#102C2418yes—
1310#102C2418yes—
1311#102C2418yes—
1312#102C2418yes—
1313#102C2414yes—
1314#102C2414yes—
1315#102C2418yes—
1316#102C2414yes—
1317#102C2414yes—
1318#102C2414yes—
1319#102C2414yes—
1320#102C2414yes—
1321#102C2414yes—
1322C22⋊C8C2412yes—
1323C22⋊C8C2412yes—
1324C22⋊C8C2412yes—
1325C22⋊C8C2414yes—
1326C22⋊C8C2418yes—
1327C22⋊C8C2412yes—
1328C22⋊C8C2414yes—
1329C22⋊C8C2418yes—
1330#97C2414yes—
1331#97C2418yes—
1332C4×C8C2414yes—
1333C4×C8C2412yes—
1334C4×C8C2412yes—
1335C4×C8C2412yes—
1336C4×C8C2412yes—
1337C4×C8C2418yes—
1338C24—21no—
1339C24—22no—
1340C24—24no—
1341C24C22×D411yescharacteristic
1342C24C22×D412yes—
1343#41—48no—
1344#41—44no—
1345#41—44no—
1346#41—44no—
1347#41—44no—
1348#41—84no—
1349#41—82no—
1350#41—84no—
1351#41—88no—
1352#41—82no—
1353#41—82no—
1354#41—816no—
1355#41—84no—
1356#41—84no—
1357#41—816no—
1358#41—84no—
1359#41—84no—
1360C2×Q8—24no—
1361C2×Q8—21no—
1362C2×Q8—21no—
1363C2×Q8—21no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—22no—
1370C2×Q8—24no—
1371C2×Q8—24no—
1372C2×Q8—28no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—42no—
1376C2×Q8—84no—
1377C2×Q8—84no—
1378C2×Q8—82no—
1379C2×Q8—82no—
1380C2×Q8—84no—
1381C2×Q8—82no—
1382C2×Q8—84no—
1383C2×Q8—84no—
1384C2×Q8—84no—
1385C2×Q8—84no—
1386C2×Q8—84no—
1387C2×Q8C22×D412yes—
1388C2×Q8C22×D412yes—
1389C2×Q8C2512yes—
1390C2×Q8C2512yes—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—22no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—24no—
1416C2×D4—21no—
1417C2×D4—24no—
1418C2×D4—22no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—48no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—82no—
1425C2×D4—82no—
1426C2×D4—84no—
1427C2×D4—84no—
1428C2×D4—84no—
1429C2×D4—88no—
1430C2×D4—84no—
1431C2×D4—88no—
1432C2×D4C22×D412yes—
1433C2×D4C22×D412yes—
1434C2×D4C22×D414yes—
1435C2×D4C22×D414yes—
1436C2×D4C2512yes—
1437C2×D4C2512yes—
1438C2×D4C2512yes—
1439C2×D4C2512yes—
1440C22×C4—24no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—22no—
1444C22×C4—21no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—28no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—48no—
1469C22×C4—44no—
1470C22×C4—84no—
1471C22×C4—84no—
1472C22×C4—84no—
1473C22×C4C22×D412yes—
1474C22×C4C22×D411yescharacteristic
1475C22×C4C22×D411yescharacteristic
1476C22×C4C22×D411yescharacteristic
1477C22×C4C22×D411yescharacteristic
1478C22×C4C22×D411yescharacteristic
1479C22×C4C22×D411yescharacteristic
1480C22×C4C22×D411yescharacteristic
1481C22×C4C22×D412yes—
1482C22×C4C22×D411yescharacteristic
1483C22×C4C22×D411yescharacteristic
1484C22×C4C22×D411yescharacteristic
1485C22×C4C22×D411yescharacteristic
1486C22×C4C22×D411yescharacteristic
1487C22×C4C22×D411yescharacteristic
1488C22×C4C22×D411yescharacteristic
1489C22×C4C22×D412yes—
1490C22×C4C22×D414yes—
1491C22×C4C22×D411yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2514yes—
1496Q16—44no—
1497SD16—44no—
1498SD16—44no—
1499SD16—44no—
1500SD16—44no—
1501D8—44no—
1502D8—44no—
1503D8—44no—
1504M16—44no—
1505M16—48no—
1506C2×C8—48no—
1507C2×C8—44no—
1508C2×C8C2514yes—
1509C2×C8C2514yes—
1510C2×C8C2514yes—
1511C2×C8C2514yes—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—21no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—28no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—22no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—21no—
1536C4⋊C4—22no—
1537C4⋊C4—21no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—28no—
1547C4⋊C4—21no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—22no—
1558C4⋊C4C22×D412yes—
1559C4⋊C4C22×D412yes—
1560C4⋊C4C22×D412yes—
1561C4⋊C4C22×D414yes—
1562C4⋊C4C22×D412yes—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D414yes—
1568C4⋊C4C22×D414yes—
1569C4⋊C4C22×D414yes—
1570C4⋊C4C2514yes—
1571C4⋊C4C2512yes—
1572C4⋊C4C2514yes—
1573C4⋊C4C2512yes—
1574C4⋊C4C2512yes—
1575C4⋊C4C2512yes—
1576C4⋊C4C2512yes—
1577C4⋊C4C2512yes—
1578C22⋊C4—22no—
1579C22⋊C4—24no—
1580C22⋊C4—22no—
1581C22⋊C4—22no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—22no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—28no—
1598C22⋊C4—22no—
1599C22⋊C4—22no—
1600C22⋊C4—22no—
1601C22⋊C4—22no—
1602C22⋊C4—24no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—22no—
1609C22⋊C4—28no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—24no—
1613C22⋊C4—22no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—24no—
1619C22⋊C4C22×D414yes—
1620C22⋊C4C22×D414yes—
1621C22⋊C4C22×D414yes—
1622C22⋊C4C22×D414yes—
1623C22⋊C4C22×D414yes—
1624C22⋊C4C22×D414yes—
1625C22⋊C4C22×D414yes—
1626C22⋊C4C22×D414yes—
1627C22⋊C4C22×D414yes—
1628C22⋊C4C22×D414yes—
1629C42—28no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—28no—
1636C42—24no—
1637C42—24no—
1638C42C22×D411yescharacteristic
1639C42C22×D411yescharacteristic
1640C42C22×D411yescharacteristic
1641C42C22×D411yescharacteristic
1642C42C22×D411yescharacteristic
1643C42C22×D411yescharacteristic
1644C42C22×D411yescharacteristic
1645C42C22×D411yescharacteristic
1646C42C22×D411yescharacteristic
1647C42C22×D411yescharacteristic
1648C42C22×D411yescharacteristic
1649C42C22×D411yescharacteristic
1650C42C22×D414yes—
1651C42C2511yescharacteristic
1652C42C2511yescharacteristic
1653C42C2511yescharacteristic
1654C42C2514yes—
1655C42C2511yescharacteristic
1656C23—22no—
1657C23—22no—
1658C23—24no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—41no—
1664C23—42no—
1665C23—42no—
1666C23—42no—
1667C23—42no—
1668C23—42no—
1669C23—44no—
1670C23—82no—
1671C23—82no—
1672C23—84no—
1673C23—84no—
1674C23—84no—
1675C23C23×D414yes—
1676C23C23×D411yescharacteristic
1677C23C23×D411yescharacteristic
1678C23C23×D411yescharacteristic
1679Q8—24no—
1680Q8—24no—
1681Q8—22no—
1682Q8—22no—
1683Q8—24no—
1684Q8—42no—
1685Q8—42no—
1686Q8—42no—
1687Q8—42no—
1688Q8—84no—
1689Q8—82no—
1690Q8—84no—
1691Q8—82no—
1692Q8—82no—
1693Q8—82no—
1694Q8—84no—
1695Q8—82no—
1696Q8—88no—
1697Q8—81no—
1698D4—28no—
1699D4—22no—
1700D4—22no—
1701D4—24no—
1702D4—24no—
1703D4—24no—
1704D4—24no—
1705D4—24no—
1706D4—44no—
1707D4—42no—
1708D4—44no—
1709D4—44no—
1710D4—44no—
1711D4—44no—
1712D4—44no—
1713D4—44no—
1714D4—42no—
1715D4—42no—
1716D4—42no—
1717D4—84no—
1718D4—82no—
1719D4—81no—
1720D4—82no—
1721D4—81no—
1722D4—84no—
1723D4—82no—
1724D4—81no—
1725D4—84no—
1726D4—84no—
1727D4—84no—
1728D4—84no—
1729D4—82no—
1730D4—82no—
1731D4—88no—
1732D4—82no—
1733D4—84no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—28no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—41no—
1757C2×C4—44no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—42no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—42no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—48no—
1772C2×C4—42no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—82no—
1779C2×C4—82no—
1780C2×C4—88no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—82no—
1785C2×C4—84no—
1786C2×C4—82no—
1787C2×C4—82no—
1788C2×C4—88no—
1789C2×C4—84no—
1790C2×C4#57714yes—
1791C2×C4C23×D414yes—
1792C2×C4C23×D411yescharacteristic
1793C2×C4C23×D411yescharacteristic
1794C2×C4C23×D414yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D411yescharacteristic
1797C2×C4C23×D411yescharacteristic
1798C2×C4C23×D411yescharacteristic
1799C2×C4C23×D411yescharacteristic
1800C2×C4C23×D411yescharacteristic
1801C2×C4C23×D411yescharacteristic
1802C2×C4C23×D411yescharacteristic
1803C2×C4C23×D411yescharacteristic
1804C2×C4C23×D411yescharacteristic
1805C2×C4C2611yescharacteristic
1806C8—24no—
1807C8—24no—
1808C8—24no—
1809C8—24no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—24no—
1816C22—21no—
1817C22—24no—
1818C22—21no—
1819C22—24no—
1820C22—44no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—84no—
1834C22—84no—
1835C22—164no—
1836C22—324no—
1837C22C2×#57712yes—
1838C22#358512yes—
1839C22C24×D411yescharacteristic
1840C4—21no—
1841C4—21no—
1842C4—24no—
1843C4—21no—
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—24no—
1848C4—21no—
1849C4—21no—
1850C4—24no—
1851C4—21no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—44no—
1857C4—44no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4C2×#57712yes—
1863C4C2×#57712yes—
1864C42−1+612yes—
1865C2—22no—
1866C2—22no—
1867C2—41no—
1868C2—44no—
1869C2—82no—
1870C2—82no—
1871C2—82no—
1872C2—82no—
1873C2#6285911yescharacteristic
1874C2C22×#57711yescharacteristic
1875C2C2×#358511yescharacteristic
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×#3544C2semidirect
3. #62617C2semidirect
4. #62552C2semidirect
5. #62521C2semidirect
6. #62486C2semidirect
7. #62202C2semidirect
8. #62200C2semidirect
9. #62185C2semidirect
10. #62179C2semidirect
11. #61830C2semidirect
12. #61825C2semidirect
13. #61820C2semidirect
14. #61819C2semidirect
15. #61729C2semidirect
16. #61728C2semidirect
17. #61720C2semidirect
18. #61719C2semidirect
19. #61700C2semidirect
20. #61697C2semidirect
21. #60980C2semidirect
22. #60949C2semidirect
23. #60942C2semidirect
24. #60873C2semidirect
25. #60860C2semidirect
26. C2×#3227C2semidirect
27. #60290C2semidirect
30. #3552C22semidirect
32. #3547C22semidirect
33. #3546C22semidirect
38. #3544C22semidirect
39. #3544C22semidirect
40. #3544C22semidirect
41. #3544C22semidirect
42. #3543C22semidirect
45. #3520C22semidirect
47. #3519C22semidirect
48. #3517C22semidirect
50. #3514C22semidirect
61. C2×Q82C22semidirect
62. C2×#555C22semidirect
63. C2×#554C22semidirect
64. C2×#554C22semidirect
66. C2×#552C22semidirect
68. C2×#547C22semidirect
70. C2×#544C22semidirect
72. C2×#542C22semidirect
76. C22×C4⋊Q8C22semidirect
78. C2×#529C22semidirect
79. #3387C22semidirect
80. #3385C22semidirect
81. #3384C22semidirect
82. #3384C22semidirect
83. #3381C22semidirect
84. #3380C22semidirect
85. Q8×SD16C22semidirect
86. Q8×SD16C22semidirect
87. #3375C22semidirect
88. #3369C22semidirect
89. #3366C22semidirect
90. #3366C22semidirect
91. #3362C22semidirect
92. #3362C22semidirect
93. #3361C22semidirect
94. #3360C22semidirect
95. #3357C22semidirect
96. #3356C22semidirect
97. #3354C22semidirect
98. #3354C22semidirect
99. #3354C22semidirect
100. #3351C22semidirect
101. #3348C22semidirect
102. #3345C22semidirect
103. #3345C22semidirect
104. #3344C22semidirect
105. #3341C22semidirect
106. #3340C22semidirect
107. #3337C22semidirect
108. #3335C22semidirect
109. #3335C22semidirect
110. #3335C22semidirect
111. #3333C22semidirect
112. #3332C22semidirect
113. #3331C22semidirect
114. #3325C22semidirect
115. #3325C22semidirect
116. #3323C22semidirect
117. #3317C22semidirect
118. #3310C22semidirect
119. #3306C22semidirect
120. #3306C22semidirect
121. #3305C22semidirect
122. #3303C22semidirect
123. #3296C22semidirect
124. #3295C22semidirect
125. #3295C22semidirect
126. #3294C22semidirect
127. #3263C22semidirect
128. #3257C22semidirect
129. #3251C22semidirect
130. #3251C22semidirect
131. #3248C22semidirect
132. #3247C22semidirect
133. #3244C22semidirect
134. #3244C22semidirect
135. #3244C22semidirect
136. #3241C22semidirect
137. #3241C22semidirect
138. #3239C22semidirect
139. #3239C22semidirect
140. #3239C22semidirect
141. #3238C22semidirect
142. #3234C22semidirect
143. #3234C22semidirect
144. #3233C22semidirect
145. #3232C22semidirect
146. #3232C22semidirect
147. #3230C22semidirect
148. #3230C22semidirect
149. #3229C22semidirect
152. #3227C22semidirect
153. #3227C22semidirect
154. #3227C22semidirect
155. #3227C22semidirect
156. #3227C22semidirect
157. #3227C22semidirect
158. #3227C22semidirect
159. #3227C22semidirect
160. #3227C22semidirect
161. #3226C22semidirect
162. #3224C22semidirect
163. #3217C22semidirect
164. #3213C22semidirect
165. #3212C22semidirect
166. #3211C22semidirect
167. #3196C22semidirect
168. #3193C22semidirect
169. #3192C22semidirect
170. #3192C22semidirect
171. #3190C22semidirect
172. #3188C22semidirect
173. #3188C22semidirect
174. #3187C22semidirect
175. #3179C22semidirect
176. #3173C22semidirect
177. #3171C22semidirect
178. #3168C22semidirect
179. #3165C22semidirect
180. #3163C22semidirect
181. C2×#498C22semidirect
182. #3141C22semidirect
183. #3136C22semidirect
184. C2×#486C22semidirect
185. #3125C22semidirect
186. #3118C22semidirect
187. #3117C22semidirect
188. #3109C22semidirect
189. #3105C22semidirect
190. #3105C22semidirect
191. #3104C22semidirect
193. #3103C22semidirect
194. #3103C22semidirect
195. #3103C22semidirect
196. #3102C22semidirect
197. #3101C22semidirect
199. #3100C22semidirect
200. #3100C22semidirect
201. #3094C22semidirect
202. #3092C22semidirect
203. #3092C22semidirect
204. #3091C22semidirect
205. C2×#481C22semidirect
206. C2×#481C22semidirect
207. #3084C22semidirect
208. #3081C22semidirect
209. #3079C22semidirect
210. C2×#476C22semidirect
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×#35442
#626172
#625522
#625212
#624862
#622022
#622002
#621852
#621792
#618302
#618252
#618202
#618192
#617292
#617282
#617202
#617192
#617002
#616972
#609802
#609492
#609422
#608732
#608602
C2×#32272
#602902