Finite Group Databasebeta

← #10575902

Subgroups — #10575902

Order 512.

6298 conjugacy classes of subgroups.

The subgroup lattice has 2051 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62800C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#60994C214yesmaximal, complemented
4#60992C214yesmaximal, complemented
5#60982C214yesmaximal, complemented
6#60980C214yesmaximal, complemented
7#60956C218yesmaximal, complemented
8#60952C212yesmaximal, complemented
9#60949C212yesmaximal, complemented
10#60942C212yesmaximal, complemented
11#60941C212yesmaximal, complemented
12#60931C212yesmaximal, complemented
13#60924C212yesmaximal, complemented
14#60889C212yesmaximal, complemented
15#60873C212yesmaximal, complemented
16#60833C212yesmaximal, complemented
17#60813C212yesmaximal, complemented
18#60765C212yesmaximal, complemented
19#60758C212yesmaximal, complemented
20#60694C214yesmaximal, complemented
21#60571C214yesmaximal, complemented
22#60561C211yesmaximal, characteristic, complemented
23#60560C211yesmaximal, characteristic, complemented
24#60536C211yesmaximal, characteristic, complemented
25C2×#3103C211yesmaximal, characteristic, complemented
26#60127C211yesmaximal, characteristic, complemented
27#3522—21no—
28#3519—22no—
29#3519—21no—
30#3517—21no—
31#3514—22no—
32#3514—21no—
33#3511C2211yescharacteristic, complemented
34#3511C2212yescomplemented
35#3508C2212yescomplemented
36#3508C2211yescharacteristic, complemented
37#3503C2211yescharacteristic, complemented
38#3498C2211yescharacteristic, complemented
39#3494C2214yes—
40#3494C2212yes—
41#3488C2212yes—
42#3483—21no—
43#3481—22no—
44#3481—21no—
45#3480—21no—
46D4×#41—22no—
47D4×#41—21no—
48#3461—22no—
49#3461—21no—
50#3461—21no—
51#3461—22no—
52#3461—21no—
53#3461—21no—
54#3461C2212yes—
55#3461C2212yes—
56#3461C2212yescomplemented
57#3461C2212yescomplemented
58#3461C2214yescomplemented
59#3461C2214yescomplemented
60#3460C2212yescomplemented
61#3460C2214yescomplemented
62C2×#544C2211yescharacteristic, complemented
63C2×#542—21no—
64C2×#542C2212yescomplemented
65C2×#541—21no—
66C2×#541C2212yescomplemented
67C2×#539—22no—
68C2×#537C2211yescharacteristic
69C2×#536C2211yescharacteristic
70C2×#536C2211yescharacteristic, complemented
71#3444C2212yes—
72#3444C2211yescharacteristic
73C2×#533—21no—
74C2×#533C2212yescomplemented
75C2×#532C2212yes—
76C2×#532C2211yescharacteristic
77C2×#529—21no—
78C2×#529—22no—
79C2×#529C2212yescomplemented
80C4×H(5,𝔽2)C2212yescomplemented
81C2×C4×#41C2211yescharacteristic
82C2×C4×#41C2211yescharacteristic, complemented
83C22×C4×Q8C2211yescharacteristic, complemented
84#3263C2218yescomplemented
85#3260C2218yescomplemented
86#3258C2218yescomplemented
87#3257C2218yescomplemented
88#3255C2214yescomplemented
89#3254C2214yescomplemented
90#3251C2214yescomplemented
91#3251C2214yescomplemented
92#3248C2214yescomplemented
93#3247C2214yescomplemented
94#3246C2214yescomplemented
95#3246C2214yescomplemented
96#3244C2218yescomplemented
97#3244C2218yescomplemented
98#3242C2218yescomplemented
99#3241C2218yescomplemented
100#3239C2214yescomplemented
101#3239C2214yescomplemented
102#3237C2214yescomplemented
103#3234C2214yescomplemented
104#3233C2214yescomplemented
105#3232C2214yescomplemented
106#3229C2214yescomplemented
107#3227C2214yescomplemented
108#3225C2218yescomplemented
109#3224C2218yescomplemented
110#3222C2218yescomplemented
111#3221C2218yescomplemented
112#3218C2214yescomplemented
113#3217C2214yescomplemented
114#3216C2214yescomplemented
115#3213C2214yescomplemented
116#3212C2214yescomplemented
117#3211C2214yescomplemented
118#3208C2214yescomplemented
119#3206C2214yescomplemented
120#3204C2218yescomplemented
121#3201C2218yescomplemented
122#3200C2218yescomplemented
123#3198C2218yescomplemented
124#3196C2214yescomplemented
125#3196C2214yescomplemented
126#3193C2214yescomplemented
127#3192C2214yescomplemented
128#3190C2214yescomplemented
129#3188C2214yescomplemented
130#3187C2214yescomplemented
131#3187C2214yescomplemented
132#3179C2218yescomplemented
133#3178C2218yescomplemented
134#3174C2218yescomplemented
135#3173C2218yescomplemented
136#3172C2218yescomplemented
137#3171C2218yescomplemented
138#3168C2218yescomplemented
139#3167C2218yescomplemented
140#3163C2214yescomplemented
141#3154C2214yescomplemented
142#3137C2214yescomplemented
143#3136C2214yescomplemented
144#3125C2218yescomplemented
145#3123C2218yescomplemented
146#3120C2218yescomplemented
147#3118C2218yescomplemented
148#3117C2214yescomplemented
149#3115C2214yescomplemented
150#3113C2212yescomplemented
151#3112C2212yescomplemented
152#3112C2212yescomplemented
153#3109C2212yescomplemented
154#3108C2214yescomplemented
155#3108C2212yescomplemented
156#3107C2218yescomplemented
157#3107C2212yescomplemented
158#3106C2214yescomplemented
159#3106C2212yescomplemented
160#3105C2218yescomplemented
161#3105C2212yescomplemented
162#3104C2212yescomplemented
163#3104C2211yescharacteristic, complemented
164#3103C2211yescharacteristic, complemented
165#3103C2212yescomplemented
166#3103C2212yescomplemented
167#3103C2212yescomplemented
168#3103C2212yescomplemented
169#3103C2214yescomplemented
170#3103C2214yescomplemented
171#3103C2214yescomplemented
172#3102C2218yescomplemented
173#3102C2214yescomplemented
174#3101C2218yescomplemented
175#3101C2211yescharacteristic, complemented
176#3100C2212yescomplemented
177#3100C2211yescharacteristic, complemented
178#3099C2214yes—
179#3097C2214yescomplemented
180#3094C2212yescomplemented
181#3092C2212yescomplemented
182#3091C2212yescomplemented
183C2×#481C2212yescomplemented
184#3084C2214yescomplemented
185#3081C2214yescomplemented
186#3079C2212yescomplemented
187#3078C2212yescomplemented
188#3076C2212yescomplemented
189C2×#475C2212yescomplemented
190#3063C2214yescomplemented
191#3062C2214yescomplemented
192#3060C2214yescomplemented
193#3057C2214yescomplemented
194#3046C2214yescomplemented
195#3042C2214yescomplemented
196#3038C2212yescomplemented
197#3037C2212yescomplemented
198#3035C2212yescomplemented
199C2×#460C2212yescomplemented
200#3012C2214yes—
201#3009C2214yescomplemented
202#3006C2212yescomplemented
203#3004C2212yescomplemented
204#3002C2212yescomplemented
205C2×#448C2212yescomplemented
206C4×#137C2214yescomplemented
207C4×AGL(1,ℤ/8)C2214yescomplemented
208C4×#135C2214yescomplemented
209C2×C4×SD16C2214yescomplemented
210#2925C2214yescomplemented
211#2925C2212yescomplemented
212#2924C2214yescomplemented
213#2924C2212yescomplemented
214#2922C2214yescomplemented
215#2922C2212yescomplemented
216#2920C2212yescomplemented
217#2920C2211yescharacteristic, complemented
218C2×#431C2212yescomplemented
219C2×#431C2211yescharacteristic, complemented
220#2906C2212yescomplemented
221#2880C2212yes—
222C4×#131C2212yescomplemented
223C2×H(5,𝔽2)C2312yes—
224C22×#41—22no—
225C22×#41—21no—
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C2×#137C2314yes—
230C2×AGL(1,ℤ/8)C2314yes—
231C2×#135C2314yes—
232C22×SD16C2314yes—
233C2×#131C2314yes—
234#559—22no—
235#559—21no—
236#559—22no—
237#559—21no—
238Q82—21no—
239#557—21no—
240#556—21no—
241#556—22no—
242#555—22no—
243#555—21no—
244#555—22no—
245#555—24no—
246#554—21no—
247#554—22no—
248#554—22no—
249#554—21no—
250#553—22no—
251#553—22no—
252#553—22no—
253#553—22no—
254#553—24no—
255#553—24no—
256#553—22no—
257#551—24no—
258#551—24no—
259#551—24no—
260#550—22no—
261#550—21no—
262#550—21no—
263#550—22no—
264#550—21no—
265#550—22no—
266#550—21no—
267D4×Q8—22no—
268D4×Q8—21no—
269#548—22no—
270#548—22no—
271#548—22no—
272#548—22no—
273#547—21no—
274#547—22no—
275#547—22no—
276#547—24no—
277#546—24no—
278#546—22no—
279#546—22no—
280#546—22no—
281#546—22no—
282#546—22no—
283#546—22no—
284#546—22no—
285#546—24no—
286#546—24no—
287#546—24no—
288D42—24no—
289D42—22no—
290D42—21no—
291D42—22no—
292D42—22no—
293D42—21no—
294#544—22no—
295#544—21no—
296#544—21no—
297#544C2312yes—
298#544C2312yes—
299#544C2312yes—
300#544C2314yes—
301#544C2314yes—
302#542—22no—
303#542—24no—
304#542—22no—
305#542—22no—
306#542—24no—
307#542—22no—
308#542—24no—
309#542—22no—
310#542—22no—
311#542—22no—
312#542—22no—
313#542—22no—
314#542C2314yes—
315#542C2314yes—
316#542C2314yes—
317#542C2314yes—
318#542C2314yes—
319#542C2314yes—
320#542C2314yes—
321#541—22no—
322#541—22no—
323#541—22no—
324#541—24no—
325#541—22no—
326#541—24no—
327#541—22no—
328#541—22no—
329#541—22no—
330#541—22no—
331#541C2314yes—
332#541C2314yes—
333#541C2314yes—
334#541C2314yes—
335#540—24no—
336#540—22no—
337#540C2314yes—
338#540C2314yes—
339#540C2314yes—
340#539—24no—
341#539—24no—
342#539—24no—
343#539—24no—
344#539—24no—
345#539—24no—
346#539—24no—
347#539—24no—
348#538—24no—
349#538—24no—
350#538—24no—
351#537—22no—
352#537—21no—
353#537—21no—
354#537C2312yes—
355#537C2314yes—
356#537C2312yes—
357#537C2314yes—
358#537C2312yes—
359#536—22no—
360#536—21no—
361#536—21no—
362#536—22no—
363#536—21no—
364#536—21no—
365#536C2312yes—
366#536C2312yes—
367#536C2314yes—
368#536C2312yes—
369#536C2314yes—
370#536C2312yes—
371#535C2312yes—
372#535C2314yes—
373#535C2314yes—
374#535C2312yes—
375#533—22no—
376#533—22no—
377#533—22no—
378#533—24no—
379#533—22no—
380#533—24no—
381#533—22no—
382#533—22no—
383#533—22no—
384#533—22no—
385#533C2314yes—
386#533C2311yescharacteristic
387#533C2311yescharacteristic
388#533C2314yes—
389#533C2314yes—
390#533C2314yes—
391#533C2312yes—
392#533C2311yescharacteristic
393#533C2312yes—
394#532—22no—
395#532—24no—
396#532—22no—
397#532—21no—
398#532—21no—
399#532—22no—
400#532—21no—
401#532—22no—
402#532—21no—
403#532—22no—
404#532C2312yes—
405#532C2311yescharacteristic
406#532C2312yes—
407#532C2311yescharacteristic
408#532C2312yes—
409#532C2312yes—
410#532C2312yes—
411#532C2311yescharacteristic
412#532C2314yes—
413#532C2314yes—
414#532C2312yes—
415#532C2312yes—
416#532C2312yes—
417C2×C4⋊Q8—21no—
418C2×C4⋊Q8—21no—
419C2×C4⋊Q8C2312yes—
420C2×C4⋊Q8C2311yescharacteristic
421C2×C4⋊Q8C2312yes—
422C2×C4⋊Q8C2312yes—
423C2×#127C2312yes—
424C2×#127C2311yescharacteristic
425#529—22no—
426#529—24no—
427#529—24no—
428#529—24no—
429#529—22no—
430#529—22no—
431#529—24no—
432#529—24no—
433#529—24no—
434#529—24no—
435#529—24no—
436#529—24no—
437#529—24no—
438#529—22no—
439#529—24no—
440#529—22no—
441#529—22no—
442#529—22no—
443#529—22no—
444#529—22no—
445#529—21no—
446#529—22no—
447#529—21no—
448#529—22no—
449#529—21no—
450#529—22no—
451#529—21no—
452#529—22no—
453#529C2314yes—
454#529C2312yes—
455#529C2312yes—
456#529C2314yes—
457#529C2314yes—
458#529C2314yes—
459#529C2314yes—
460#529C2314yes—
461C2×#126—22no—
462C2×#126—22no—
463C2×#126—22no—
464C2×#126—22no—
465C2×#125—22no—
466C2×#125—21no—
467C2×#125—22no—
468C2×#125—22no—
469C2×#125C2312yes—
470C2×#124—21no—
471C2×#124—22no—
472C2×#124—21no—
473C2×#124—22no—
474C2×#124C2312yes—
475#525—22no—
476#525—21no—
477#525—21no—
478#525—22no—
479#525—24no—
480#525—24no—
481#525—24no—
482#525C2312yes—
483#525C2314yes—
484C2×#123—22no—
485C2×#123—22no—
486C2×#123—22no—
487C2×#123—22no—
488C2×C22⋊Q8—21no—
489C2×C22⋊Q8—22no—
490C2×C22⋊Q8—21no—
491C2×C22⋊Q8—21no—
492C2×C22⋊Q8—22no—
493C2×C22⋊Q8—22no—
494C2×C22⋊Q8C2312yes—
495C2×C22⋊Q8C2312yes—
496C2×C22⋊Q8C2312yes—
497C2×#121—22no—
498C2×#121—21no—
499C2×#121—21no—
500C2×#121—22no—
501C2×#121C2312yes—
502C2×#121C2312yes—
503C2×#121C2314yes—
504#520—22no—
505#520C2312yes—
506#520C2314yes—
507#520C2312yes—
508#518—24no—
509#518—22no—
510#518C2312yes—
511#518C2314yes—
512C4×#41—22no—
513C4×#41—21no—
514C4×#41—21no—
515C4×#41—21no—
516C4×#41—21no—
517C4×#41—22no—
518C4×#41—21no—
519C4×#41—21no—
520C4×#41—22no—
521C4×#41D412yes—
522C4×#41D411yescharacteristic
523C4×#41D411yescharacteristic
524C4×#41D412yes—
525C4×#41D411yescharacteristic
526C4×#41D411yescharacteristic
527C4×#41C2312yes—
528C4×#41C2312yes—
529C4×#41C2314yes—
530C4×#41C2312yes—
531C4×#41C2312yes—
532C4×#41C2312yes—
533C4×#41C2311yescharacteristic
534C4×#41C2311yescharacteristic
535C4×#41C2311yescharacteristic
536C4×#41C2312yes—
537C4×#41C2311yescharacteristic
538C4×#41C2312yes—
539C2×C4×Q8—21no—
540C2×C4×Q8—21no—
541C2×C4×Q8—21no—
542C2×C4×Q8—21no—
543C2×C4×Q8—21no—
544C2×C4×Q8—21no—
545C2×C4×Q8—22no—
546C2×C4×Q8D411yescharacteristic
547C2×C4×Q8D411yescharacteristic
548C2×C4×Q8C2312yes—
549C2×C4×Q8C2312yes—
550C2×C4×Q8C2311yescharacteristic
551C2×C4×Q8C2312yes—
552C2×C4×Q8C2312yes—
553C2×C4×Q8C2312yes—
554C2×C4×Q8C2311yescharacteristic
555C2×C4×Q8C2312yes—
556C2×C4×D4—21no—
557C2×C4×D4—21no—
558C2×C4×D4—22no—
559C2×C4×D4—22no—
560C2×C4×D4—24no—
561C2×C4×D4—21no—
562C2×C4×D4—22no—
563C2×C4×D4D412yes—
564C2×C4×D4D411yescharacteristic
565C2×C4×D4D412yes—
566C2×C4×D4D411yescharacteristic
567C2×C4×D4C2311yescharacteristic
568C2×C4×D4C2314yes—
569C2×C4×D4C2311yescharacteristic
570C2×C4×D4C2312yes—
571C2×#117—22no—
572C2×#117—21no—
573C2×#117—22no—
574C2×#117C2311yescharacteristic
575C2×#117C2311yescharacteristic
576C2×#117C2312yes—
577C22×C4⋊C4—21no—
578C22×C4⋊C4C2311yescharacteristic
579C22×C42—21no—
580C22×C42—21no—
581C22×C42C2311yescharacteristic
582C22×C42C2312yes—
583#501C2318yes—
584#501C2318yes—
585#499C2318yes—
586#498C2318yes—
587#497C2318yes—
588#496C2318yes—
589#495C2318yes—
590#492C2318yes—
591#491C2318yes—
592#490C2318yes—
593#489C2318yes—
594#489C2318yes—
595#488C2318yes—
596#488C2318yes—
597#487C2318yes—
598#486C2318yes—
599#485C2314yes—
600#485C2318yes—
601#485C2318yes—
602#485C2318yes—
603#484C2312yes—
604#484C2314yes—
605#484C2318yes—
606#483C2312yes—
607#483C2314yes—
608#483C2318yes—
609#483C2318yes—
610#482C2314yes—
611#482C2318yes—
612#482C2318yes—
613#481C2314yes—
614#481C2314yes—
615#481C2318yes—
616#481C2312yes—
617#481C2314yes—
618#481C2314yes—
619#481C2318yes—
620#480C2312yes—
621#480C2314yes—
622#480C2314yes—
623#479C2314yes—
624#479C2318yes—
625#479C2318yes—
626#478C2314yes—
627#478C2318yes—
628#478C2318yes—
629#478C2318yes—
630#477C2312yes—
631#477C2314yes—
632#477C2314yes—
633#476C2312yes—
634#476C2314yes—
635#476C2318yes—
636#476C2318yes—
637#475C2314yes—
638#475C2314yes—
639#475C2318yes—
640#475C2312yes—
641#475C2314yes—
642#475C2314yes—
643#475C2318yes—
644#474C2312yes—
645#474C2314yes—
646#474C2318yes—
647#470C2318yes—
648#470C2318yes—
649#469C2318yes—
650#469C2318yes—
651#468C2318yes—
652#468C2318yes—
653#468C2318yes—
654#468C2318yes—
655#467C2318yes—
656#466C2318yes—
657#465C2318yes—
658#465C2318yes—
659#465C2318yes—
660#465C2318yes—
661#465C2318yes—
662#465C2318yes—
663#464C2314yes—
664#464C2318yes—
665#464C2318yes—
666#463C2314yes—
667#463C2318yes—
668#463C2318yes—
669#463C2318yes—
670#462C2312yes—
671#462C2314yes—
672#462C2318yes—
673#461C2312yes—
674#461C2318yes—
675#461C2318yes—
676#461C2318yes—
677#460C2314yes—
678#460C2314yes—
679#460C2318yes—
680#460C2312yes—
681#460C2314yes—
682#460C2314yes—
683#460C2314yes—
684#459C2312yes—
685#459C2314yes—
686#459C2314yes—
687#452C2314yes—
688#452C2318yes—
689#452C2318yes—
690#452C2318yes—
691#451C2312yes—
692#451C2314yes—
693#451C2314yes—
694#450C2312yes—
695#450C2318yes—
696#450C2318yes—
697#450C2318yes—
698#449C2314yes—
699#449C2318yes—
700#449C2318yes—
701#448C2314yes—
702#448C2314yes—
703#448C2318yes—
704#448C2312yes—
705#448C2314yes—
706#448C2314yes—
707#448C2314yes—
708#447C2312yes—
709#447C2314yes—
710#447C2318yes—
711#442C2318yes—
712#441C2318yes—
713#440C2318yes—
714#440C2318yes—
715C4×Q16C2314yes—
716C4×Q16C2318yes—
717C4×Q16C2314yes—
718C4×SD16C2314yes—
719C4×SD16C2314yes—
720C4×SD16C2318yes—
721C4×SD16C2318yes—
722C4×SD16C2318yes—
723C4×SD16C2318yes—
724C4×SD16C2318yes—
725C4×SD16C2318yes—
726C4×SD16C2314yes—
727C4×SD16C2314yes—
728C4×D8C2314yes—
729C4×D8C2318yes—
730C4×D8C2314yes—
731#433C2318yes—
732#433C2318yes—
733#433C2318yes—
734#432C2312yes—
735#432C2312yes—
736#432C2314yes—
737#432C2314yes—
738#431C2312yes—
739#431C2311yescharacteristic
740#431C2314yes—
741#431C2311yescharacteristic
742#431C2312yes—
743#431C2312yes—
744#431C2312yes—
745#431C2314yes—
746#431C2312yes—
747#431C2314yes—
748#431C2314yes—
749#428C2314yes—
750#428C2314yes—
751#427C2314yes—
752C2×#106C2314yes—
753#424C2314yes—
754#424C2318yes—
755#423C2312yes—
756#423C2314yes—
757C2×C4⋊C8C2312yes—
758C2×C4⋊C8C2314yes—
759#419C2314yes—
760#418C2314yes—
761#417C2314yes—
762#417C2314yes—
763#416C2314yes—
764#416C2314yes—
765C2×#103C2314yes—
766C2×#102C2314yes—
767#408C2314yes—
768#408C2318yes—
769#407C2312yes—
770#407C2314yes—
771C2×C22⋊C8C2312yes—
772C2×C22⋊C8C2314yes—
773#405C2314yes—
774#405C2318yes—
775C4×M16C2314yes—
776C4×M16C2312yes—
777C2×C4×C8C2314yes—
778C2×C4×C8C2312yes—
779H(5,𝔽2)—48no—
780C2×#41—22no—
781C2×#41—21no—
782C2×#41—21no—
783C2×#41—22no—
784C2×#41—21no—
785C2×#41—21no—
786C2×#41—22no—
787C2×#41—22no—
788C2×#41—24no—
789C2×#41—22no—
790C2×#41—24no—
791C2×#41—22no—
792C2×#41—22no—
793C2×#41—22no—
794C2×#41—44no—
795C2×#41—44no—
796C2×#41—84no—
797C2×#41—88no—
798C2×#41C2×D412yes—
799C2×#41C2×D411yescharacteristic
800C2×#41C2×D411yescharacteristic
801C2×#41C2412yes—
802C2×#41C2412yes—
803C2×#41C2412yes—
804C2×#41C2414yes—
805C2×#41C2411yescharacteristic
806C2×#41C2411yescharacteristic
807C2×#41C2412yes—
808C22×Q8—21no—
809C22×Q8—21no—
810C22×Q8—21no—
811C22×Q8—22no—
812C22×Q8—21no—
813C22×Q8—22no—
814C22×Q8—44no—
815C22×Q8C2×D411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×D4—21no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—22no—
826C22×D4—21no—
827C22×D4—22no—
828C22×D4—21no—
829C22×D4—22no—
830C22×D4C2×D412yes—
831C22×D4C2×D411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C23×C4—21no—
836C23×C4—21no—
837C23×C4—21no—
838C23×C4—21no—
839C23×C4—22no—
840C23×C4—24no—
841C23×C4—21no—
842C23×C4C2×D412yes—
843C23×C4C2×D411yescharacteristic
844C23×C4C2×D411yescharacteristic
845C23×C4C2×D412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848#137—48no—
849AGL(1,ℤ/8)—48no—
850#135—48no—
851C2×Q16C2414yes—
852C2×Q16C2418yes—
853C2×SD16—48no—
854C2×SD16C2418yes—
855C2×SD16C2418yes—
856C2×SD16C2414yes—
857C2×SD16C2414yes—
858C2×SD16C2418yes—
859C2×SD16C2418yes—
860C2×D8C2414yes—
861C2×D8C2418yes—
862#131—48no—
863C2×M16C2414yes—
864C2×M16C2418yes—
865C22×C8C2414yes—
866C22×C8C2418yes—
867C4⋊Q8—22no—
868C4⋊Q8—22no—
869C4⋊Q8—24no—
870C4⋊Q8—22no—
871C4⋊Q8—22no—
872C4⋊Q8—24no—
873C4⋊Q8—22no—
874C4⋊Q8—24no—
875C4⋊Q8—21no—
876C4⋊Q8—22no—
877C4⋊Q8—21no—
878C4⋊Q8—22no—
879C4⋊Q8—22no—
880C4⋊Q8—22no—
881C4⋊Q8—22no—
882C4⋊Q8—22no—
883C4⋊Q8C2414yes—
884C4⋊Q8C2414yes—
885C4⋊Q8C2411yescharacteristic
886C4⋊Q8C2412yes—
887C4⋊Q8C2411yescharacteristic
888C4⋊Q8C2412yes—
889C4⋊Q8C2414yes—
890C4⋊Q8C2414yes—
891C4⋊Q8C2414yes—
892C4⋊Q8C2411yescharacteristic
893#127—22no—
894#127—24no—
895#127—21no—
896#127—21no—
897#127—22no—
898#127—22no—
899#127C2411yescharacteristic
900#127C2412yes—
901#127C2412yes—
902#127C2414yes—
903#126—24no—
904#126—24no—
905#126—24no—
906#126—24no—
907#126—24no—
908#126—24no—
909#126—24no—
910#126—24no—
911#126—24no—
912#126—24no—
913#126—24no—
914#126—24no—
915#126—24no—
916#126—24no—
917#126—24no—
918#126—24no—
919#126—24no—
920#126—24no—
921#126—24no—
922#126—22no—
923#126—24no—
924#126—22no—
925#126—24no—
926#125—24no—
927#125—24no—
928#125—24no—
929#125—24no—
930#125—22no—
931#125—22no—
932#125—24no—
933#125—24no—
934#125—24no—
935#125—24no—
936#125—24no—
937#125—24no—
938#125—22no—
939#125—24no—
940#125—24no—
941#125—24no—
942#125—24no—
943#125—22no—
944#125—22no—
945#125—21no—
946#125—21no—
947#125—22no—
948#125C2414yes—
949#125C2414yes—
950#125C2412yes—
951#125C2414yes—
952#124—22no—
953#124—24no—
954#124—22no—
955#124—22no—
956#124—24no—
957#124—24no—
958#124—24no—
959#124—24no—
960#124—24no—
961#124—24no—
962#124—24no—
963#124—24no—
964#124—22no—
965#124—21no—
966#124—22no—
967#124—24no—
968#124—22no—
969#124—22no—
970#124—22no—
971#124—22no—
972#124—24no—
973#124—22no—
974#124—22no—
975#124—21no—
976#124—22no—
977#124C2414yes—
978#124C2414yes—
979#124C2412yes—
980#124C2414yes—
981#123—24no—
982#123—24no—
983#123—24no—
984#123—24no—
985#123—24no—
986#123—24no—
987#123—24no—
988#123—24no—
989#123—22no—
990#123—24no—
991#123—22no—
992#123—24no—
993#123—22no—
994#123—24no—
995#123—24no—
996#123—24no—
997#123—24no—
998#123—24no—
999#123—24no—
1000#123—24no—
1001#123—24no—
1002#123—24no—
1003#123—24no—
1004#123—24no—
1005#123—24no—
1006#123—24no—
1007#123—24no—
1008#123—24no—
1009#123—24no—
1010#123—24no—
1011#123—24no—
1012C22⋊Q8—22no—
1013C22⋊Q8—22no—
1014C22⋊Q8—24no—
1015C22⋊Q8—22no—
1016C22⋊Q8—24no—
1017C22⋊Q8—24no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—22no—
1022C22⋊Q8—22no—
1023C22⋊Q8—22no—
1024C22⋊Q8—22no—
1025C22⋊Q8—22no—
1026C22⋊Q8—22no—
1027C22⋊Q8—21no—
1028C22⋊Q8—21no—
1029C22⋊Q8—22no—
1030C22⋊Q8—21no—
1031C22⋊Q8—22no—
1032C22⋊Q8—21no—
1033C22⋊Q8—22no—
1034C22⋊Q8—22no—
1035C22⋊Q8—22no—
1036C22⋊Q8—24no—
1037C22⋊Q8—22no—
1038C22⋊Q8—22no—
1039C22⋊Q8—24no—
1040C22⋊Q8—24no—
1041C22⋊Q8—24no—
1042C22⋊Q8—24no—
1043C22⋊Q8—24no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047C22⋊Q8—24no—
1048C22⋊Q8—24no—
1049C22⋊Q8—24no—
1050C22⋊Q8—24no—
1051C22⋊Q8—24no—
1052C22⋊Q8—24no—
1053C22⋊Q8—24no—
1054C22⋊Q8C2414yes—
1055C22⋊Q8C2414yes—
1056C22⋊Q8C2414yes—
1057C22⋊Q8C2414yes—
1058C22⋊Q8C2414yes—
1059C22⋊Q8C2414yes—
1060C22⋊Q8C2412yes—
1061C22⋊Q8C2412yes—
1062C22⋊Q8C2414yes—
1063#121—24no—
1064#121—24no—
1065#121—24no—
1066#121—24no—
1067#121—22no—
1068#121—22no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—24no—
1073#121—22no—
1074#121—24no—
1075#121—22no—
1076#121—21no—
1077#121—22no—
1078#121—24no—
1079#121—22no—
1080#121—24no—
1081#121—22no—
1082#121—22no—
1083#121—22no—
1084#121—22no—
1085#121—22no—
1086#121—22no—
1087#121—24no—
1088#121—22no—
1089#121—24no—
1090#121—21no—
1091#121—22no—
1092#121—21no—
1093#121—22no—
1094#121—21no—
1095#121—22no—
1096#121—24no—
1097#121—22no—
1098#121—22no—
1099#121—24no—
1100#121—24no—
1101#121—24no—
1102#121—24no—
1103#121—24no—
1104#121—24no—
1105#121—24no—
1106#121C2414yes—
1107#121C2412yes—
1108#121C2414yes—
1109#121C2414yes—
1110#121C2414yes—
1111#121C2414yes—
1112#121C2414yes—
1113#121C2412yes—
1114#121C2414yes—
1115#120—22no—
1116#120—24no—
1117#120—24no—
1118#120—24no—
1119#120—24no—
1120#120—24no—
1121#120—24no—
1122#120—24no—
1123C4×Q8—22no—
1124C4×Q8—22no—
1125C4×Q8—22no—
1126C4×Q8—22no—
1127C4×Q8—22no—
1128C4×Q8—22no—
1129C4×Q8—22no—
1130C4×Q8—22no—
1131C4×Q8—22no—
1132C4×Q8—22no—
1133C4×Q8—22no—
1134C4×Q8—22no—
1135C4×Q8—22no—
1136C4×Q8—24no—
1137C4×Q8—24no—
1138C4×Q8—24no—
1139C4×Q8—24no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8—21no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—22no—
1147C4×Q8—21no—
1148C4×Q8—22no—
1149C4×Q8—21no—
1150C4×Q8—22no—
1151C4×Q8C2×D411yescharacteristic
1152C4×Q8C2×D411yescharacteristic
1153C4×Q8C2×D411yescharacteristic
1154C4×Q8C2×D412yes—
1155C4×Q8C2×D411yescharacteristic
1156C4×Q8C2×D412yes—
1157C4×Q8C2×D411yescharacteristic
1158C4×Q8C2×D411yescharacteristic
1159C4×Q8C2×D412yes—
1160C4×Q8C2×D411yescharacteristic
1161C4×Q8C2×D412yes—
1162C4×Q8C2×D411yescharacteristic
1163C4×Q8C2414yes—
1164C4×Q8C2414yes—
1165C4×Q8C2414yes—
1166C4×Q8C2414yes—
1167C4×Q8C2412yes—
1168C4×Q8C2412yes—
1169C4×Q8C2412yes—
1170C4×Q8C2412yes—
1171C4×Q8C2412yes—
1172C4×Q8C2412yes—
1173C4×Q8C2414yes—
1174C4×D4—24no—
1175C4×D4—22no—
1176C4×D4—22no—
1177C4×D4—24no—
1178C4×D4—22no—
1179C4×D4—22no—
1180C4×D4—22no—
1181C4×D4—22no—
1182C4×D4—22no—
1183C4×D4—22no—
1184C4×D4—22no—
1185C4×D4—22no—
1186C4×D4—24no—
1187C4×D4—24no—
1188C4×D4—24no—
1189C4×D4—24no—
1190C4×D4—22no—
1191C4×D4—24no—
1192C4×D4—22no—
1193C4×D4—24no—
1194C4×D4—22no—
1195C4×D4—24no—
1196C4×D4—22no—
1197C4×D4—24no—
1198C4×D4—22no—
1199C4×D4—24no—
1200C4×D4—22no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—22no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—22no—
1208C4×D4—21no—
1209C4×D4—22no—
1210C4×D4—24no—
1211C4×D4—22no—
1212C4×D4—24no—
1213C4×D4—22no—
1214C4×D4—22no—
1215C4×D4—22no—
1216C4×D4—22no—
1217C4×D4—24no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—22no—
1223C4×D4—24no—
1224C4×D4—21no—
1225C4×D4—22no—
1226C4×D4—21no—
1227C4×D4—22no—
1228C4×D4—21no—
1229C4×D4—22no—
1230C4×D4C2×D411yescharacteristic
1231C4×D4C2×D412yes—
1232C4×D4C2×D412yes—
1233C4×D4C2×D411yescharacteristic
1234C4×D4C2×D412yes—
1235C4×D4C2×D412yes—
1236C4×D4C2×D412yes—
1237C4×D4C2×D411yescharacteristic
1238C4×D4C2×D412yes—
1239C4×D4C2×D411yescharacteristic
1240C4×D4C2×D412yes—
1241C4×D4C2×D412yes—
1242C4×D4C2×D412yes—
1243C4×D4C2×D412yes—
1244C4×D4C2×D411yescharacteristic
1245C4×D4C2×D412yes—
1246C4×D4C2×D412yes—
1247C4×D4C2×D412yes—
1248C4×D4C2×D412yes—
1249C4×D4C2×D412yes—
1250C4×D4C2×D412yes—
1251C4×D4C2×D412yes—
1252C4×D4C2×D412yes—
1253C4×D4C2×D412yes—
1254C4×D4C2×D411yescharacteristic
1255C4×D4C2×D411yescharacteristic
1256C4×D4C2×D412yes—
1257C4×D4C2×D411yescharacteristic
1258C4×D4C2412yes—
1259C4×D4C2414yes—
1260C4×D4C2412yes—
1261C4×D4C2412yes—
1262C4×D4C2412yes—
1263C4×D4C2412yes—
1264C4×D4C2414yes—
1265C4×D4C2414yes—
1266C4×D4C2414yes—
1267C4×D4C2412yes—
1268C4×D4C2414yes—
1269#117—24no—
1270#117—24no—
1271#117—24no—
1272#117—24no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117—21no—
1277#117—22no—
1278#117—24no—
1279#117—22no—
1280#117—22no—
1281#117—22no—
1282#117—22no—
1283#117—22no—
1284#117—24no—
1285#117—24no—
1286#117—24no—
1287#117—24no—
1288#117—22no—
1289#117—24no—
1290#117—22no—
1291#117—24no—
1292#117—22no—
1293#117—24no—
1294#117C2×D412yes—
1295#117C2×D411yescharacteristic
1296#117C2×D411yescharacteristic
1297#117C2×D412yes—
1298#117C2×D412yes—
1299#117C2×D412yes—
1300#117C2×D412yes—
1301#117C2412yes—
1302#117C2412yes—
1303#117C2412yes—
1304#117C2414yes—
1305#117C2411yescharacteristic
1306#117C2412yes—
1307#117C2411yescharacteristic
1308#117C2412yes—
1309#117C2412yes—
1310#117C2412yes—
1311#117C2412yes—
1312C2×C4⋊C4—22no—
1313C2×C4⋊C4—22no—
1314C2×C4⋊C4—22no—
1315C2×C4⋊C4—22no—
1316C2×C4⋊C4—22no—
1317C2×C4⋊C4—22no—
1318C2×C4⋊C4—21no—
1319C2×C4⋊C4—21no—
1320C2×C4⋊C4—21no—
1321C2×C4⋊C4—21no—
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—22no—
1324C2×C4⋊C4—22no—
1325C2×C4⋊C4—22no—
1326C2×C4⋊C4—22no—
1327C2×C4⋊C4—21no—
1328C2×C4⋊C4—22no—
1329C2×C4⋊C4—22no—
1330C2×C4⋊C4—22no—
1331C2×C4⋊C4—22no—
1332C2×C4⋊C4—22no—
1333C2×C4⋊C4—22no—
1334C2×C4⋊C4—24no—
1335C2×C4⋊C4C2×D411yescharacteristic
1336C2×C4⋊C4C2×D412yes—
1337C2×C4⋊C4C2×D411yescharacteristic
1338C2×C4⋊C4C2×D412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2414yes—
1346C2×C22⋊C4—22no—
1347C2×C22⋊C4—22no—
1348C2×C22⋊C4—21no—
1349C2×C22⋊C4—22no—
1350C2×C22⋊C4—21no—
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—22no—
1353C2×C22⋊C4—22no—
1354C2×C22⋊C4—22no—
1355C2×C22⋊C4—24no—
1356C2×C22⋊C4—22no—
1357C2×C22⋊C4—22no—
1358C2×C22⋊C4—24no—
1359C2×C22⋊C4—24no—
1360C2×C22⋊C4—24no—
1361C2×C22⋊C4—24no—
1362C2×C22⋊C4C2×D412yes—
1363C2×C22⋊C4C2×D412yes—
1364C2×C22⋊C4C2×D412yes—
1365C2×C42—22no—
1366C2×C42—21no—
1367C2×C42—21no—
1368C2×C42—21no—
1369C2×C42—22no—
1370C2×C42—22no—
1371C2×C42—22no—
1372C2×C42—22no—
1373C2×C42—22no—
1374C2×C42—22no—
1375C2×C42—24no—
1376C2×C42—22no—
1377C2×C42—22no—
1378C2×C42—22no—
1379C2×C42—22no—
1380C2×C42C2×D412yes—
1381C2×C42C2×D411yescharacteristic
1382C2×C42C2×D411yescharacteristic
1383C2×C42C2×D412yes—
1384C2×C42C2×D411yescharacteristic
1385C2×C42C2×D412yes—
1386C2×C42C2×D411yescharacteristic
1387C2×C42C2×D411yescharacteristic
1388C2×C42C2×D411yescharacteristic
1389C2×C42C2×D412yes—
1390C2×C42C2×D412yes—
1391C2×C42C2×D412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2411yescharacteristic
1397C2×C42C2411yescharacteristic
1398C2×C42C2411yescharacteristic
1399C2×C42C2411yescharacteristic
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403#107C2414yes—
1404#107C2414yes—
1405#107C2418yes—
1406#107C2418yes—
1407#106C2418yes—
1408#106C2418yes—
1409#106C2414yes—
1410#106C2414yes—
1411#106C2418yes—
1412#106C2418yes—
1413C4⋊C8C2412yes—
1414C4⋊C8C2412yes—
1415C4⋊C8C2414yes—
1416C4⋊C8C2414yes—
1417C4⋊C8C2418yes—
1418C4⋊C8C2414yes—
1419C4⋊C8C2418yes—
1420#103C2418yes—
1421#103C2418yes—
1422#103C2414yes—
1423#103C2414yes—
1424#103C2414yes—
1425#103C2414yes—
1426#103C2418yes—
1427#103C2418yes—
1428#103C2418yes—
1429#103C2418yes—
1430#102C2418yes—
1431#102C2418yes—
1432#102C2414yes—
1433#102C2414yes—
1434#102C2414yes—
1435#102C2414yes—
1436#102C2418yes—
1437#102C2418yes—
1438#102C2418yes—
1439#102C2418yes—
1440C22⋊C8C2412yes—
1441C22⋊C8C2412yes—
1442C22⋊C8C2414yes—
1443C22⋊C8C2414yes—
1444C22⋊C8C2418yes—
1445C22⋊C8C2418yes—
1446C22⋊C8C2414yes—
1447#97C2414yes—
1448#97C2418yes—
1449C4×C8C2412yes—
1450C4×C8C2414yes—
1451C4×C8C2412yes—
1452C4×C8C2414yes—
1453C4×C8C2418yes—
1454C24—21no—
1455C24—24no—
1456C24—22no—
1457C24C22×D411yescharacteristic
1458C24C22×D412yes—
1459#41—24no—
1460#41—24no—
1461#41—24no—
1462#41—28no—
1463#41—24no—
1464#41—44no—
1465#41—44no—
1466#41—42no—
1467#41—42no—
1468#41—42no—
1469#41—42no—
1470#41—48no—
1471#41—44no—
1472#41—44no—
1473#41—48no—
1474#41—48no—
1475#41—44no—
1476#41—84no—
1477#41—88no—
1478#41—84no—
1479#41—88no—
1480#41—84no—
1481#41—84no—
1482#41—84no—
1483#41—82no—
1484#41—84no—
1485C2×Q8—21no—
1486C2×Q8—22no—
1487C2×Q8—22no—
1488C2×Q8—22no—
1489C2×Q8—21no—
1490C2×Q8—21no—
1491C2×Q8—22no—
1492C2×Q8—24no—
1493C2×Q8—24no—
1494C2×Q8—22no—
1495C2×Q8—24no—
1496C2×Q8—24no—
1497C2×Q8—24no—
1498C2×Q8—44no—
1499C2×Q8—44no—
1500C2×Q8—42no—
1501C2×Q8—42no—
1502C2×Q8—44no—
1503C2×Q8—44no—
1504C2×Q8—44no—
1505C2×Q8—82no—
1506C2×Q8—84no—
1507C2×Q8—84no—
1508C2×Q8C22×D411yescharacteristic
1509C2×Q8C22×D411yescharacteristic
1510C2×Q8C22×D412yes—
1511C2×Q8C2512yes—
1512C2×Q8C2514yes—
1513C2×Q8C2512yes—
1514C2×D4—24no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—22no—
1518C2×D4—22no—
1519C2×D4—24no—
1520C2×D4—24no—
1521C2×D4—22no—
1522C2×D4—24no—
1523C2×D4—24no—
1524C2×D4—24no—
1525C2×D4—24no—
1526C2×D4—24no—
1527C2×D4—21no—
1528C2×D4—24no—
1529C2×D4—22no—
1530C2×D4—22no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—22no—
1534C2×D4—22no—
1535C2×D4—24no—
1536C2×D4—22no—
1537C2×D4—24no—
1538C2×D4—28no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—48no—
1542C2×D4—44no—
1543C2×D4—416no—
1544C2×D4—48no—
1545C2×D4—44no—
1546C2×D4—82no—
1547C2×D4—84no—
1548C2×D4—82no—
1549C2×D4—84no—
1550C2×D4—84no—
1551C2×D4—84no—
1552C2×D4—88no—
1553C2×D4C22×D412yes—
1554C2×D4C22×D411yescharacteristic
1555C2×D4C22×D412yes—
1556C2×D4C22×D411yescharacteristic
1557C2×D4C22×D412yes—
1558C2×D4C22×D412yes—
1559C2×D4C22×D412yes—
1560C2×D4C2512yes—
1561C2×D4C2514yes—
1562C2×D4C2512yes—
1563C22×C4—24no—
1564C22×C4—28no—
1565C22×C4—24no—
1566C22×C4—21no—
1567C22×C4—22no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—24no—
1581C22×C4—22no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—24no—
1585C22×C4—22no—
1586C22×C4—22no—
1587C22×C4—22no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—44no—
1593C22×C4—44no—
1594C22×C4—44no—
1595C22×C4—44no—
1596C22×C4—84no—
1597C22×C4—88no—
1598C22×C4—81no—
1599C22×C4—82no—
1600C22×C4—82no—
1601C22×C4—82no—
1602C22×C4C22×D411yescharacteristic
1603C22×C4C22×D411yescharacteristic
1604C22×C4C22×D411yescharacteristic
1605C22×C4C22×D411yescharacteristic
1606C22×C4C22×D411yescharacteristic
1607C22×C4C22×D411yescharacteristic
1608C22×C4C22×D412yes—
1609C22×C4C22×D412yes—
1610C22×C4C22×D412yes—
1611C22×C4C22×D411yescharacteristic
1612C22×C4C22×D411yescharacteristic
1613C22×C4C22×D412yes—
1614C22×C4C22×D412yes—
1615C22×C4C22×D411yescharacteristic
1616C22×C4C22×D411yescharacteristic
1617C22×C4C22×D412yes—
1618C22×C4C22×D412yes—
1619C22×C4C22×D412yes—
1620C22×C4C22×D411yescharacteristic
1621C22×C4C22×D412yes—
1622C22×C4C22×D412yes—
1623C22×C4C22×D411yescharacteristic
1624C22×C4C22×D411yescharacteristic
1625C22×C4C22×D411yescharacteristic
1626C22×C4C22×D412yes—
1627C22×C4C22×D412yes—
1628C22×C4C22×D412yes—
1629C22×C4C22×D411yescharacteristic
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635Q16—44no—
1636Q16—48no—
1637SD16—48no—
1638SD16—48no—
1639SD16—44no—
1640SD16—44no—
1641SD16—48no—
1642SD16—48no—
1643D8—44no—
1644D8—48no—
1645M16—28no—
1646M16—48no—
1647C2×C8—28no—
1648C2×C8—48no—
1649C2×C8C2514yes—
1650C2×C8C2514yes—
1651C2×C8C2518yes—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—22no—
1657C4⋊C4—22no—
1658C4⋊C4—22no—
1659C4⋊C4—22no—
1660C4⋊C4—21no—
1661C4⋊C4—22no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—22no—
1665C4⋊C4—22no—
1666C4⋊C4—22no—
1667C4⋊C4—22no—
1668C4⋊C4—22no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—22no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—21no—
1688C4⋊C4—21no—
1689C4⋊C4—21no—
1690C4⋊C4—22no—
1691C4⋊C4—22no—
1692C4⋊C4—21no—
1693C4⋊C4—21no—
1694C4⋊C4—22no—
1695C4⋊C4—24no—
1696C4⋊C4—22no—
1697C4⋊C4—24no—
1698C4⋊C4—22no—
1699C4⋊C4—24no—
1700C4⋊C4C22×D411yescharacteristic
1701C4⋊C4C22×D412yes—
1702C4⋊C4C22×D412yes—
1703C4⋊C4C22×D411yescharacteristic
1704C4⋊C4C22×D412yes—
1705C4⋊C4C22×D411yescharacteristic
1706C4⋊C4C22×D411yescharacteristic
1707C4⋊C4C22×D412yes—
1708C4⋊C4C22×D412yes—
1709C4⋊C4C22×D412yes—
1710C4⋊C4C22×D412yes—
1711C4⋊C4C22×D412yes—
1712C4⋊C4C22×D412yes—
1713C4⋊C4C22×D412yes—
1714C4⋊C4C2514yes—
1715C4⋊C4C2512yes—
1716C4⋊C4C2512yes—
1717C4⋊C4C2512yes—
1718C4⋊C4C2514yes—
1719C4⋊C4C2512yes—
1720C22⋊C4—24no—
1721C22⋊C4—22no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—22no—
1727C22⋊C4—22no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—22no—
1731C22⋊C4—24no—
1732C22⋊C4—22no—
1733C22⋊C4—24no—
1734C22⋊C4—22no—
1735C22⋊C4—22no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—22no—
1742C22⋊C4—22no—
1743C22⋊C4—22no—
1744C22⋊C4—22no—
1745C22⋊C4—22no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—22no—
1756C22⋊C4—24no—
1757C22⋊C4—22no—
1758C22⋊C4—24no—
1759C22⋊C4—22no—
1760C22⋊C4—24no—
1761C22⋊C4C22×D412yes—
1762C22⋊C4C22×D412yes—
1763C22⋊C4C22×D412yes—
1764C22⋊C4C22×D412yes—
1765C22⋊C4C22×D412yes—
1766C22⋊C4C22×D412yes—
1767C22⋊C4C22×D412yes—
1768C22⋊C4C22×D412yes—
1769C22⋊C4C22×D412yes—
1770C22⋊C4C22×D412yes—
1771C22⋊C4C22×D412yes—
1772C22⋊C4C22×D412yes—
1773C42—24no—
1774C42—22no—
1775C42—22no—
1776C42—22no—
1777C42—22no—
1778C42—22no—
1779C42—24no—
1780C42—24no—
1781C42—22no—
1782C42—24no—
1783C42—24no—
1784C42—22no—
1785C42—22no—
1786C42—24no—
1787C42—22no—
1788C42C22×D411yescharacteristic
1789C42C22×D411yescharacteristic
1790C42C22×D411yescharacteristic
1791C42C22×D411yescharacteristic
1792C42C22×D411yescharacteristic
1793C42C22×D412yes—
1794C42C22×D411yescharacteristic
1795C42C22×D412yes—
1796C42C22×D412yes—
1797C42C22×D411yescharacteristic
1798C42C22×D412yes—
1799C42C22×D411yescharacteristic
1800C42C22×D411yescharacteristic
1801C42C22×D412yes—
1802C42C22×D412yes—
1803C42C22×D412yes—
1804C42C22×D412yes—
1805C42C22×D411yescharacteristic
1806C42C22×D411yescharacteristic
1807C42C22×D412yes—
1808C42C22×D411yescharacteristic
1809C42C22×D412yes—
1810C42C2511yescharacteristic
1811C42C2512yes—
1812C42C2511yescharacteristic
1813C42C2512yes—
1814C42C2511yescharacteristic
1815C42C2511yescharacteristic
1816C23—22no—
1817C23—22no—
1818C23—24no—
1819C23—22no—
1820C23—24no—
1821C23—22no—
1822C23—41no—
1823C23—42no—
1824C23—42no—
1825C23—42no—
1826C23—42no—
1827C23—48no—
1828C23—42no—
1829C23—44no—
1830C23—82no—
1831C23—84no—
1832C23—82no—
1833C23—84no—
1834C23C23×D412yes—
1835C23C23×D412yes—
1836C23C23×D411yescharacteristic
1837C23C23×D411yescharacteristic
1838C23C23×D411yescharacteristic
1839Q8—22no—
1840Q8—22no—
1841Q8—24no—
1842Q8—22no—
1843Q8—24no—
1844Q8—22no—
1845Q8—24no—
1846Q8—42no—
1847Q8—44no—
1848Q8—44no—
1849Q8—42no—
1850Q8—42no—
1851Q8—44no—
1852Q8—44no—
1853Q8—42no—
1854Q8—84no—
1855Q8—84no—
1856Q8—82no—
1857Q8—84no—
1858D4—24no—
1859D4—24no—
1860D4—22no—
1861D4—22no—
1862D4—28no—
1863D4—24no—
1864D4—22no—
1865D4—22no—
1866D4—42no—
1867D4—42no—
1868D4—42no—
1869D4—48no—
1870D4—42no—
1871D4—44no—
1872D4—42no—
1873D4—48no—
1874D4—44no—
1875D4—44no—
1876D4—44no—
1877D4—48no—
1878D4—44no—
1879D4—44no—
1880D4—44no—
1881D4—42no—
1882D4—82no—
1883D4—84no—
1884D4—82no—
1885D4—84no—
1886D4—84no—
1887D4—84no—
1888D4—84no—
1889D4—84no—
1890D4—84no—
1891D4—82no—
1892D4—84no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—24no—
1896C2×C4—24no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—24no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—24no—
1904C2×C4—22no—
1905C2×C4—24no—
1906C2×C4—22no—
1907C2×C4—24no—
1908C2×C4—22no—
1909C2×C4—24no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—24no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—24no—
1917C2×C4—22no—
1918C2×C4—24no—
1919C2×C4—42no—
1920C2×C4—42no—
1921C2×C4—42no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—42no—
1927C2×C4—42no—
1928C2×C4—41no—
1929C2×C4—42no—
1930C2×C4—42no—
1931C2×C4—41no—
1932C2×C4—42no—
1933C2×C4—44no—
1934C2×C4—48no—
1935C2×C4—42no—
1936C2×C4—44no—
1937C2×C4—44no—
1938C2×C4—44no—
1939C2×C4—42no—
1940C2×C4—44no—
1941C2×C4—42no—
1942C2×C4—44no—
1943C2×C4—44no—
1944C2×C4—44no—
1945C2×C4—44no—
1946C2×C4—48no—
1947C2×C4—44no—
1948C2×C4—82no—
1949C2×C4—82no—
1950C2×C4—84no—
1951C2×C4—84no—
1952C2×C4—84no—
1953C2×C4—82no—
1954C2×C4—84no—
1955C2×C4—82no—
1956C2×C4—82no—
1957C2×C4—82no—
1958C2×C4—84no—
1959C2×C4#57714yes—
1960C2×C4C23×D411yescharacteristic
1961C2×C4C23×D411yescharacteristic
1962C2×C4C23×D411yescharacteristic
1963C2×C4C23×D411yescharacteristic
1964C2×C4C23×D412yes—
1965C2×C4C23×D412yes—
1966C2×C4C23×D411yescharacteristic
1967C2×C4C23×D411yescharacteristic
1968C2×C4C23×D411yescharacteristic
1969C2×C4C23×D411yescharacteristic
1970C2×C4C23×D412yes—
1971C2×C4C23×D412yes—
1972C2×C4C23×D412yes—
1973C2×C4C23×D412yes—
1974C2×C4C23×D411yescharacteristic
1975C2×C4C23×D411yescharacteristic
1976C2×C4C23×D411yescharacteristic
1977C2×C4#58514yes—
1978C2×C4C2611yescharacteristic
1979C8—24no—
1980C8—24no—
1981C8—28no—
1982C22—21no—
1983C22—21no—
1984C22—21no—
1985C22—21no—
1986C22—22no—
1987C22—21no—
1988C22—22no—
1989C22—21no—
1990C22—22no—
1991C22—22no—
1992C22—21no—
1993C22—22no—
1994C22—22no—
1995C22—44no—
1996C22—42no—
1997C22—44no—
1998C22—42no—
1999C22—42no—
2000C22—44no—
2001C22—42no—
2002C22—42no—
2003C22—44no—
2004C22—42no—
2005C22—84no—
2006C22—84no—
2007C22—164no—
2008C22—168no—
2009C22#344912yes—
2010C22C2×#57712yes—
2011C22C24×D411yescharacteristic
2012C4—21no—
2013C4—22no—
2014C4—21no—
2015C4—22no—
2016C4—21no—
2017C4—21no—
2018C4—21no—
2019C4—21no—
2020C4—22no—
2021C4—22no—
2022C4—21no—
2023C4—21no—
2024C4—22no—
2025C4—22no—
2026C4—42no—
2027C4—44no—
2028C4—42no—
2029C4—44no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—44no—
2035C4#344912yes—
2036C4C2×#57712yes—
2037C4C2×#57712yes—
2038C4C2×#58512yes—
2039C2—22no—
2040C2—22no—
2041C2—41no—
2042C2—42no—
2043C2—42no—
2044C2—82no—
2045C2—84no—
2046C2—82no—
2047C2C2×#344911yescharacteristic
2048C2C22×#57711yescharacteristic
2049C2#6309011yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutator, Frattini, cosocleC2×C4C26
socleC22C24×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×C4×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62800C2semidirect
2. C2×#3461C2semidirect
3. #60994C2semidirect
4. #60992C2semidirect
5. #60982C2semidirect
6. #60980C2semidirect
7. #60956C2semidirect
8. #60952C2semidirect
9. #60949C2semidirect
10. #60942C2semidirect
11. #60941C2semidirect
12. #60931C2semidirect
13. #60924C2semidirect
14. #60889C2semidirect
15. #60873C2semidirect
16. #60833C2semidirect
17. #60813C2semidirect
18. #60765C2semidirect
19. #60758C2semidirect
20. #60694C2semidirect
21. #60571C2semidirect
22. #60561C2semidirect
23. #60560C2semidirect
24. #60536C2semidirect
25. C2×#3103C2semidirect
26. #60127C2semidirect
33. #3511C22semidirect
34. #3511C22semidirect
35. #3508C22semidirect
36. #3508C22semidirect
37. #3503C22semidirect
38. #3498C22semidirect
56. #3461C22semidirect
57. #3461C22semidirect
58. #3461C22semidirect
59. #3461C22semidirect
60. #3460C22semidirect
61. #3460C22semidirect
62. C2×#544C22semidirect
64. C2×#542C22semidirect
66. C2×#541C22semidirect
70. C2×#536C22semidirect
74. C2×#533C22semidirect
79. C2×#529C22semidirect
80. C4×H(5,𝔽2)C22semidirect
82. C2×C4×#41C22semidirect
83. C22×C4×Q8C22semidirect
84. #3263C22semidirect
85. #3260C22semidirect
86. #3258C22semidirect
87. #3257C22semidirect
88. #3255C22semidirect
89. #3254C22semidirect
90. #3251C22semidirect
91. #3251C22semidirect
92. #3248C22semidirect
93. #3247C22semidirect
94. #3246C22semidirect
95. #3246C22semidirect
96. #3244C22semidirect
97. #3244C22semidirect
98. #3242C22semidirect
99. #3241C22semidirect
100. #3239C22semidirect
101. #3239C22semidirect
102. #3237C22semidirect
103. #3234C22semidirect
104. #3233C22semidirect
105. #3232C22semidirect
106. #3229C22semidirect
107. #3227C22semidirect
108. #3225C22semidirect
109. #3224C22semidirect
110. #3222C22semidirect
111. #3221C22semidirect
112. #3218C22semidirect
113. #3217C22semidirect
114. #3216C22semidirect
115. #3213C22semidirect
116. #3212C22semidirect
117. #3211C22semidirect
118. #3208C22semidirect
119. #3206C22semidirect
120. #3204C22semidirect
121. #3201C22semidirect
122. #3200C22semidirect
123. #3198C22semidirect
124. #3196C22semidirect
125. #3196C22semidirect
126. #3193C22semidirect
127. #3192C22semidirect
128. #3190C22semidirect
129. #3188C22semidirect
130. #3187C22semidirect
131. #3187C22semidirect
132. #3179C22semidirect
133. #3178C22semidirect
134. #3174C22semidirect
135. #3173C22semidirect
136. #3172C22semidirect
137. #3171C22semidirect
138. #3168C22semidirect
139. #3167C22semidirect
140. #3163C22semidirect
141. #3154C22semidirect
142. #3137C22semidirect
143. #3136C22semidirect
144. #3125C22semidirect
145. #3123C22semidirect
146. #3120C22semidirect
147. #3118C22semidirect
148. #3117C22semidirect
149. #3115C22semidirect
150. #3113C22semidirect
151. #3112C22semidirect
152. #3112C22semidirect
153. #3109C22semidirect
154. #3108C22semidirect
155. #3108C22semidirect
156. #3107C22semidirect
157. #3107C22semidirect
158. #3106C22semidirect
159. #3106C22semidirect
160. #3105C22semidirect
161. #3105C22semidirect
162. #3104C22semidirect
163. #3104C22semidirect
164. #3103C22semidirect
165. #3103C22semidirect
166. #3103C22semidirect
167. #3103C22semidirect
168. #3103C22semidirect
169. #3103C22semidirect
170. #3103C22semidirect
171. #3103C22semidirect
172. #3102C22semidirect
173. #3102C22semidirect
174. #3101C22semidirect
175. #3101C22semidirect
176. #3100C22semidirect
177. #3100C22semidirect
179. #3097C22semidirect
180. #3094C22semidirect
181. #3092C22semidirect
182. #3091C22semidirect
183. C2×#481C22semidirect
184. #3084C22semidirect
185. #3081C22semidirect
186. #3079C22semidirect
187. #3078C22semidirect
188. #3076C22semidirect
189. C2×#475C22semidirect
190. #3063C22semidirect
191. #3062C22semidirect
192. #3060C22semidirect
193. #3057C22semidirect
194. #3046C22semidirect
195. #3042C22semidirect
196. #3038C22semidirect
197. #3037C22semidirect
198. #3035C22semidirect
199. C2×#460C22semidirect
201. #3009C22semidirect
202. #3006C22semidirect
203. #3004C22semidirect
204. #3002C22semidirect
205. C2×#448C22semidirect
206. C4×#137C22semidirect
207. C4×AGL(1,ℤ/8)C22semidirect
208. C4×#135C22semidirect
209. C2×C4×SD16C22semidirect
210. #2925C22semidirect
211. #2925C22semidirect
212. #2924C22semidirect
213. #2924C22semidirect
214. #2922C22semidirect
215. #2922C22semidirect
216. #2920C22semidirect
217. #2920C22semidirect
218. C2×#431C22semidirect
219. C2×#431C22semidirect
220. #2906C22semidirect
222. C4×#131C22semidirect

Maximal subgroups

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

subgroupindex
#628002
C2×#34612
#609942
#609922
#609822
#609802
#609562
#609522
#609492
#609422
#609412
#609312
#609242
#608892
#608732
#608332
#608132
#607652
#607582
#606942
#605712
#605612
#605602
#605362
C2×#31032
#601272