Finite Group Databasebeta

← #10579157

Subgroups — #10579157

Order 512.

6701 conjugacy classes of subgroups.

The subgroup lattice has 2490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62986C211yesmaximal, characteristic, complemented
2#62961C211yesmaximal, characteristic, complemented
3#62093C214yesmaximal, complemented
4#62075C214yesmaximal, complemented
5#62073C212yesmaximal, complemented
6#62051C212yesmaximal, complemented
7#62039C212yesmaximal, complemented
8#62037C212yesmaximal, complemented
9#62015C214yesmaximal, complemented
10#62014C214yesmaximal, complemented
11#61989C212yesmaximal, complemented
12#61988C212yesmaximal, complemented
13#61975C212yesmaximal, complemented
14#61961C212yesmaximal, complemented
15#61402C211yesmaximal, characteristic, complemented
16C2×#3399C211yesmaximal, characteristic, complemented
17#61324C211yesmaximal, characteristic, complemented
18#61316C211yesmaximal, characteristic, complemented
19#61218C212yesmaximal, complemented
20#61213C211yesmaximal, characteristic, complemented
21#61208C212yesmaximal, complemented
22#61205C211yesmaximal, characteristic, complemented
23#61095C211yesmaximal, characteristic, complemented
24#61093C212yesmaximal, complemented
25#61089C211yesmaximal, characteristic, complemented
26#61082C212yesmaximal, complemented
27#60924C211yesmaximal, characteristic, complemented
28#60922C212yesmaximal, complemented
29#60825C212yesmaximal, complemented
30#60817C211yesmaximal, characteristic, complemented
31#60574C212yesmaximal, complemented
32#60571C211yesmaximal, characteristic, complemented
33#60430C212yesmaximal, complemented
34#60428C211yesmaximal, characteristic, complemented
35#60275C211yesmaximal, characteristic, complemented
36C2×#577C2212yescomplemented
37C2×#576C2212yescomplemented
38C2×#576C2212yescomplemented
39#3562—22no—
40#3562C2214yescomplemented
41#3558—22no—
42#3558—22no—
43#3558C2214yescomplemented
44#3554—21no—
45#3554C2212yescomplemented
46#3543—21no—
47#3543C2212yescomplemented
48#3534—24no—
49#3519—22no—
50#3519—24no—
51#3519—22no—
52#3519C2214yescomplemented
53#3519C2212yescomplemented
54#3517C2214yescomplemented
55#3517C2212yescomplemented
56#3514—21no—
57#3514C2212yescomplemented
58#3508—21no—
59#3508—22no—
60#3508—21no—
61#3508C2212yescomplemented
62#3508C2211yescharacteristic, complemented
63#3508C2212yescomplemented
64#3506—21no—
65#3506—22no—
66#3506C2211yescharacteristic, complemented
67#3506C2212yescomplemented
68#3500C2212yescomplemented
69#3500C2212yescomplemented
70#3498C2212yescomplemented
71#3498C2211yescharacteristic, complemented
72#3498C2211yescharacteristic, complemented
73#3498C2211yescharacteristic, complemented
74#3497C2211yescharacteristic, complemented
75#3496C2212yescomplemented
76#3483C2212yescomplemented
77#3480—21no—
78#3480C2211yescharacteristic
79#3480C2211yescharacteristic, complemented
80C2×#559C2211yescharacteristic, complemented
81Q8×#41C2211yescharacteristic, complemented
82D4×#41—22no—
83D4×#41C2212yescomplemented
84C2×#550—21no—
85C2×#550C2211yescharacteristic, complemented
86#3461C2211yescharacteristic, complemented
87#3460C2212yescomplemented
88C4×H(5,𝔽2)C2211yescharacteristic, complemented
89C4×H(5,𝔽2)C2212yescomplemented
90#3399C2212yescomplemented
91#3399C2212yescomplemented
92#3399C2212yescomplemented
93#3399C2214yescomplemented
94#3399C2214yescomplemented
95#3399C2212yescomplemented
96#3399C2212yescomplemented
97#3399C2214yescomplemented
98#3397C2212yescomplemented
99#3397C2214yescomplemented
100#3392C2212yescomplemented
101#3391C2212yescomplemented
102#3377C2212yescomplemented
103#3376C2212yescomplemented
104#3375C2212yescomplemented
105#3375C2211yescharacteristic, complemented
106#3374C2211yescharacteristic, complemented
107#3373C2211yescharacteristic, complemented
108#3373C2212yescomplemented
109#3372C2211yescharacteristic, complemented
110#3371C2214yescomplemented
111#3371C2212yescomplemented
112#3370C2212yescomplemented
113#3370C2214yescomplemented
114#3369C2211yescharacteristic, complemented
115#3368C2211yescharacteristic, complemented
116#3367C2211yescharacteristic, complemented
117#3366C2211yescharacteristic, complemented
118#3365C2212yescomplemented
119#3361C2212yescomplemented
120#3332C2212yescomplemented
121#3332C2212yescomplemented
122#3329C2212yescomplemented
123#3326C2214yescomplemented
124#3326C2214yescomplemented
125#3325C2212yescomplemented
126#3322C2214yescomplemented
127#3321C2214yescomplemented
128#3319C2214yescomplemented
129#3319C2214yescomplemented
130#3319C2214yescomplemented
131#3318C2214yescomplemented
132#3318C2214yescomplemented
133#3318C2214yescomplemented
134#3309C2214yescomplemented
135#3308C2214yescomplemented
136#3307C2214yescomplemented
137#3307C2214yescomplemented
138#3306C2214yescomplemented
139#3306C2214yescomplemented
140#3306C2214yescomplemented
141#3305C2212yescomplemented
142#3305C2212yescomplemented
143#3301C2214yescomplemented
144#3301C2214yescomplemented
145#3298C2212yescomplemented
146#3297C2214yescomplemented
147#3294C2212yescomplemented
148#3287C2212yescomplemented
149#3287C2212yescomplemented
150#3287C2212yescomplemented
151#3284C2214yescomplemented
152D4×SD16C2212yescomplemented
153D4×D8C2212yescomplemented
154D4×D8C2212yescomplemented
155D4×D8C2214yescomplemented
156#3278C2212yescomplemented
157#3274C2212yescomplemented
158#3274C2212yescomplemented
159#3274C2212yescomplemented
160#3274C2214yescomplemented
161#3274C2212yescomplemented
162#3274C2212yescomplemented
163#3272C2214yescomplemented
164#3271C2214yescomplemented
165#3271C2214yescomplemented
166#3271C2214yescomplemented
167#3268C2214yescomplemented
168#3268C2214yescomplemented
169#3268C2214yescomplemented
170#3268C2214yescomplemented
171#3265C2214yescomplemented
172#3265C2214yescomplemented
173#3265C2214yescomplemented
174#3264C2214yescomplemented
175#3264C2214yescomplemented
176#3264C2214yescomplemented
177#3264C2214yescomplemented
178#3260C2214yescomplemented
179#3259C2214yescomplemented
180#3259C2214yescomplemented
181#3257C2214yescomplemented
182#3257C2214yescomplemented
183#3257C2214yescomplemented
184#3254C2212yescomplemented
185#3253C2214yescomplemented
186#3251C2214yescomplemented
187#3251C2212yescomplemented
188#3247C2212yescomplemented
189#3247C2214yescomplemented
190#3246C2212yescomplemented
191#3245C2214yescomplemented
192#3221C2214yescomplemented
193#3221C2214yescomplemented
194#3220C2214yescomplemented
195#3220C2214yescomplemented
196#3220C2214yescomplemented
197#3220C2214yescomplemented
198#3214C2214yescomplemented
199#3214C2214yescomplemented
200#3213C2214yescomplemented
201#3213C2214yescomplemented
202#3207C2212yescomplemented
203#3207C2212yescomplemented
204#3205C2212yescomplemented
205#3205C2212yescomplemented
206#3151C2211yescharacteristic, complemented
207#3151C2212yescomplemented
208C2×#496C2212yescomplemented
209C2×#493C2211yescharacteristic, complemented
210#3140C2212yescomplemented
211#3138C2211yescharacteristic, complemented
212#3135C2212yescomplemented
213#3131C2211yescharacteristic, complemented
214#3125C2214yescomplemented
215#3125C2212yescomplemented
216#3123C2212yescomplemented
217#3122C2214yescomplemented
218#3120C2212yescomplemented
219#3119C2214yescomplemented
220#3118C2212yescomplemented
221#3118C2214yescomplemented
222#3115C2214yescomplemented
223#3114C2214yescomplemented
224#3111C2214yescomplemented
225#3109C2214yescomplemented
226#3107C2212yescomplemented
227#3105C2212yescomplemented
228#3102C2212yescomplemented
229#3101C2212yescomplemented
230#3099C2212yescomplemented
231#3099C2211yescharacteristic, complemented
232#3097C2211yescharacteristic, complemented
233#3096C2212yescomplemented
234#3084C2211yescharacteristic, complemented
235#3081C2211yescharacteristic, complemented
236#3081C2212yescomplemented
237#3078C2211yescharacteristic, complemented
238#3077C2212yescomplemented
239#3076C2211yescharacteristic, complemented
240#3076C2212yescomplemented
241#3062C2212yescomplemented
242#3062C2212yescomplemented
243#3062C2212yescomplemented
244#3058C2212yescomplemented
245#3058C2212yescomplemented
246#3057C2212yescomplemented
247#3046C2211yescharacteristic, complemented
248#3046C2214yescomplemented
249#3045C2212yescomplemented
250#3045C2214yescomplemented
251#3045C2214yescomplemented
252#3042C2214yescomplemented
253#3042C2212yescomplemented
254#3042C2211yescharacteristic, complemented
255#3041C2214yescomplemented
256#3041C2212yescomplemented
257#3041C2214yescomplemented
258#3041C2212yescomplemented
259#3041C2212yescomplemented
260#3040C2214yescomplemented
261#3040C2212yescomplemented
262#3038C2211yescharacteristic
263#3038C2212yescomplemented
264#3038C2212yescomplemented
265#3038C2211yescharacteristic, complemented
266#3036C2214yescomplemented
267#3036C2211yescharacteristic, complemented
268#3036C2212yescomplemented
269#3036C2212yescomplemented
270#3035C2212yescomplemented
271#3035C2211yescharacteristic, complemented
272#3035C2214yescomplemented
273#3035C2212yescomplemented
274C2×#460C2211yescharacteristic, complemented
275C2×#463C2212yescomplemented
276C2×#463C2214yescomplemented
277C2×#459C2212yescomplemented
278C2×#459C2211yescharacteristic, complemented
279C2×#459C2212yescomplemented
280#3012C2211yescharacteristic
281#3012C2212yescomplemented
282#3010C2212yescomplemented
283#3010C2212yescomplemented
284#3009C2211yescharacteristic, complemented
285#3008C2212yescomplemented
286#3008C2212yescomplemented
287#3008C2212yescomplemented
288#3008C2212yescomplemented
289#3008C2212yescomplemented
290#2995C2214yescomplemented
291#2994C2212yescomplemented
292#2993C2212yescomplemented
293#2992C2214yescomplemented
294#2990C2212yescomplemented
295#2989C2212yescomplemented
296Q8×M16C2211yescharacteristic, complemented
297C2×#446C2211yescharacteristic, complemented
298C4×#137C2211yescharacteristic, complemented
299C4×AGL(1,ℤ/8)C2211yescharacteristic, complemented
300C4×AGL(1,ℤ/8)C2212yescomplemented
301C4×AGL(1,ℤ/8)C2212yescomplemented
302#2943C2212yescomplemented
303C2×#442C2212yescomplemented
304C4×#135C2211yescharacteristic, complemented
305C2×C4×SD16C2211yescharacteristic, complemented
306#2935C2211yescharacteristic, complemented
307#2935C2212yescomplemented
308#2932C2212yescomplemented
309#2931C2211yescharacteristic, complemented
310#2923C2212yescomplemented
311#2922C2211yescharacteristic, complemented
312#2906C2211yescharacteristic, complemented
313#2906C2212yescomplemented
314#2898C2212yescomplemented
315#2897C2212yescomplemented
316#2897C2212yescomplemented
317C2×2−1+4C2312yes—
318C2×H(5,𝔽2)C2312yes—
319C2×H(5,𝔽2)C2311yescharacteristic
320C2×H(5,𝔽2)C2312yes—
321C2×H(5,𝔽2)C2312yes—
322C22×#41—22no—
323C22×#41—21no—
324#577—48no—
325#576—48no—
326#576—48no—
327C2×#137C2311yescharacteristic
328C2×#137C2314yes—
329C2×AGL(1,ℤ/8)C2312yes—
330C2×AGL(1,ℤ/8)C2311yescharacteristic
331C2×AGL(1,ℤ/8)C2312yes—
332C2×AGL(1,ℤ/8)C2312yes—
333C2×AGL(1,ℤ/8)C2312yes—
334C2×AGL(1,ℤ/8)C2312yes—
335C2×AGL(1,ℤ/8)C2314yes—
336C2×AGL(1,ℤ/8)C2314yes—
337C2×AGL(1,ℤ/8)C2314yes—
338C2×AGL(1,ℤ/8)C2314yes—
339C2×AGL(1,ℤ/8)C2314yes—
340C2×#135C2311yescharacteristic
341C2×#135C2312yes—
342C2×#135C2314yes—
343C2×#135C2314yes—
344C2×#135C2314yes—
345C22×SD16C2311yescharacteristic
346C22×SD16C2312yes—
347C22×SD16C2314yes—
348C22×D8C2312yes—
349C22×D8C2312yes—
350C22×D8C2312yes—
351C22×D8C2314yes—
352C22×D8C2314yes—
353C2×#131C2312yes—
354C2×#131C2312yes—
355C2×#131C2312yes—
356#562—24no—
357#562—24no—
358#562—24no—
359H(3,𝔽4)—24no—
360#560—24no—
361#560—24no—
362#559—22no—
363#559—22no—
364#559—22no—
365#559—22no—
366#559—21no—
367#559—21no—
368#559—22no—
369#559—21no—
370#559—22no—
371#559—22no—
372#559—21no—
373#559—22no—
374#559D411yescharacteristic
375#559D412yes—
376#559C2312yes—
377#559C2314yes—
378#559C2312yes—
379#559C2312yes—
380#559C2311yescharacteristic
381Q82C2311yescharacteristic
382#557D411yescharacteristic
383#557C2311yescharacteristic
384#557C2311yescharacteristic
385#557C2312yes—
386#556—21no—
387#556—22no—
388#556D411yescharacteristic
389#556D412yes—
390#556C2311yescharacteristic
391#556C2312yes—
392#555—22no—
393#555—24no—
394#555—22no—
395#555C2312yes—
396#555C2314yes—
397#554—22no—
398#554—21no—
399#554—22no—
400#554C2311yescharacteristic
401#554C2312yes—
402#553—24no—
403#553—24no—
404#553—24no—
405#553—24no—
406#553—24no—
407#553—22no—
408#553—21no—
409#553—22no—
410#553D412yes—
411#553D414yes—
412#553C2314yes—
413#553C2314yes—
414#553C2314yes—
415#551—24no—
416#551—24no—
417#550—22no—
418#550—21no—
419#550—22no—
420#550—21no—
421#550—24no—
422#550—22no—
423#550—21no—
424#550—21no—
425#550—22no—
426#550—21no—
427#550—21no—
428#550—21no—
429#550—22no—
430#550—22no—
431#550—21no—
432#550—22no—
433#550D411yescharacteristic
434#550C2312yes—
435#550C2312yes—
436#550C2314yes—
437#550C2312yes—
438#550C2314yes—
439#550C2312yes—
440#550C2312yes—
441#550C2311yescharacteristic
442#550C2312yes—
443#550C2312yes—
444#550C2314yes—
445D4×Q8—21no—
446D4×Q8—21no—
447D4×Q8C2312yes—
448D4×Q8C2311yescharacteristic
449#548—21no—
450#548—22no—
451#548—22no—
452#548—22no—
453#548—22no—
454#548D412yes—
455#548C2314yes—
456#548C2314yes—
457#548C2314yes—
458#547—22no—
459#547—24no—
460#547—22no—
461#547C2314yes—
462#547C2312yes—
463#547C2314yes—
464#546—22no—
465#546—22no—
466#546—24no—
467#546—22no—
468#546—22no—
469#546—24no—
470#546—24no—
471#546—24no—
472#546—24no—
473#546—24no—
474#546—22no—
475#546—24no—
476#546—24no—
477#546—22no—
478#546—24no—
479#546—22no—
480#546—24no—
481#546—22no—
482#546—24no—
483#546—24no—
484#546—22no—
485#546—24no—
486#546—22no—
487#546—24no—
488#546C2314yes—
489#546C2314yes—
490#546C2314yes—
491#546C2314yes—
492D42—22no—
493D42—22no—
494D42—24no—
495D42—24no—
496D42—22no—
497D42—22no—
498D42—22no—
499D42—22no—
500D42—21no—
501D42—22no—
502D42—22no—
503D42—21no—
504D42C2314yes—
505D42C2312yes—
506D42C2314yes—
507D42C2312yes—
508D42C2314yes—
509D42C2312yes—
510D42C2312yes—
511#544C2311yescharacteristic
512#542—22no—
513#542—22no—
514#542—22no—
515#542—21no—
516#542C2314yes—
517#542C2312yes—
518#541—21no—
519#541C2312yes—
520#540—22no—
521#540—24no—
522#540—24no—
523#540—24no—
524#540—24no—
525#540—22no—
526#540—22no—
527#540—24no—
528#540C2314yes—
529#540C2314yes—
530#540C2314yes—
531#540C2314yes—
532#539—24no—
533#539—24no—
534#539—22no—
535#538—24no—
536#538—24no—
537#538—24no—
538#538—24no—
539#538—24no—
540#538—24no—
541#538—24no—
542#538—24no—
543#538—24no—
544#538—22no—
545#538—24no—
546#538—24no—
547#537—22no—
548#537C2312yes—
549#537C2311yescharacteristic
550#536—22no—
551#536C2311yescharacteristic
552#536C2314yes—
553#536C2311yescharacteristic
554#535—22no—
555#535—22no—
556#535—22no—
557#535—22no—
558#535—22no—
559#535—22no—
560#535—22no—
561#535C2312yes—
562#535C2314yes—
563#535C2314yes—
564#535C2312yes—
565#535C2312yes—
566#535C2312yes—
567#535C2312yes—
568#534—24no—
569#534—24no—
570#534—24no—
571#533—21no—
572#533—21no—
573#533—22no—
574#533C2312yes—
575#533C2312yes—
576#533C2311yescharacteristic
577#532—21no—
578#532—22no—
579#532—21no—
580#532—22no—
581#532—24no—
582#532—22no—
583#532—22no—
584#532—22no—
585#532—22no—
586#532—24no—
587#532C2311yescharacteristic
588#532C2312yes—
589#532C2312yes—
590#532C2314yes—
591#532C2314yes—
592#532C2312yes—
593#532C2312yes—
594#532C2314yes—
595#532C2314yes—
596#532C2311yescharacteristic
597#532C2312yes—
598C2×#127—21no—
599C2×#127—22no—
600C2×#127—21no—
601C2×#127C2311yescharacteristic
602C2×#127C2311yescharacteristic
603C2×#127C2312yes—
604C2×#127C2312yes—
605#529—24no—
606#529—22no—
607#529—22no—
608#529—21no—
609#529—22no—
610#529—21no—
611#529—22no—
612#529C2312yes—
613#529C2314yes—
614#529C2314yes—
615#529C2312yes—
616C2×#124—21no—
617C2×#124—22no—
618C2×#124C2312yes—
619C2×#124C2314yes—
620#525—24no—
621#525—22no—
622#525—22no—
623#525—24no—
624#525—24no—
625#525—22no—
626#525—24no—
627C2×#123—22no—
628C2×#121—24no—
629C2×#121—22no—
630C2×#121—24no—
631C2×#121—21no—
632C2×#121—22no—
633#520—22no—
634#520—21no—
635#520C2311yescharacteristic
636#520C2314yes—
637#520C2312yes—
638#520C2312yes—
639#520C2311yescharacteristic
640#518—22no—
641#518—21no—
642#518—24no—
643#518—22no—
644#518—22no—
645#518—22no—
646#518C2311yescharacteristic
647#518C2312yes—
648#518C2314yes—
649#518C2312yes—
650C4×#41—21no—
651C4×#41—22no—
652C4×#41—22no—
653C4×#41—21no—
654C4×#41C2311yescharacteristic
655C4×#41C2312yes—
656C4×#41C2312yes—
657C4×#41C2314yes—
658C4×#41C2311yescharacteristic
659C4×#41C2312yes—
660C4×#41C2312yes—
661C4×#41C2311yescharacteristic
662C4×#41C2312yes—
663C2×C4×Q8—21no—
664C2×C4×Q8C2311yescharacteristic
665C2×C4×Q8C2311yescharacteristic
666C2×C4×D4—21no—
667C2×C4×D4—22no—
668C2×C4×D4—22no—
669C2×C4×D4—24no—
670C2×C4×D4—21no—
671C2×C4×D4C2312yes—
672C2×C4×D4C2312yes—
673C2×C4×D4C2314yes—
674C2×C4×D4C2311yescharacteristic
675C2×C4×D4C2312yes—
676#496C2314yes—
677#496C2314yes—
678#496C2314yes—
679#496C2314yes—
680#496C2314yes—
681#496C2314yes—
682#496C2314yes—
683#493C2312yes—
684#493C2314yes—
685#493C2312yes—
686#493C2312yes—
687#493C2312yes—
688#493C2312yes—
689#492C2312yes—
690#492C2314yes—
691#491C2312yes—
692#491C2312yes—
693#490C2312yes—
694#490C2312yes—
695#490C2314yes—
696#489C2312yes—
697#489C2312yes—
698#489C2314yes—
699#489C2314yes—
700#489C2312yes—
701#489C2312yes—
702#488C2314yes—
703#488C2314yes—
704#488C2312yes—
705#488C2312yes—
706#487C2311yescharacteristic
707#487C2311yescharacteristic
708#486C2311yescharacteristic
709#486C2312yes—
710#486C2312yes—
711#486C2311yescharacteristic
712#485C2314yes—
713#485C2312yes—
714#485C2312yes—
715#485C2312yes—
716#484C2312yes—
717#483C2312yes—
718#483C2312yes—
719#483C2314yes—
720#482C2314yes—
721#482C2314yes—
722#482C2312yes—
723#482C2314yes—
724#481C2314yes—
725#481C2314yes—
726#481C2312yes—
727#480C2314yes—
728#479C2312yes—
729#479C2312yes—
730#479C2312yes—
731#479C2314yes—
732#479C2312yes—
733#478C2312yes—
734#478C2312yes—
735#478C2312yes—
736#478C2314yes—
737#478C2314yes—
738#478C2312yes—
739#478C2312yes—
740#478C2314yes—
741#478C2314yes—
742#478C2312yes—
743#477C2312yes—
744#477C2312yes—
745#477C2311yescharacteristic
746#476C2311yescharacteristic
747#476C2312yes—
748#476C2314yes—
749#476C2312yes—
750#476C2314yes—
751#476C2312yes—
752#475C2311yescharacteristic
753#475C2312yes—
754#475C2312yes—
755#475C2312yes—
756#474C2311yescharacteristic
757#474C2312yes—
758#474C2314yes—
759#474C2312yes—
760#474C2314yes—
761#469C2314yes—
762#469C2314yes—
763#469C2314yes—
764#469C2314yes—
765#469C2314yes—
766#469C2314yes—
767#469C2314yes—
768#468C2314yes—
769#468C2314yes—
770#468C2314yes—
771#468C2314yes—
772#468C2314yes—
773#466C2314yes—
774#466C2314yes—
775#466C2314yes—
776#466C2314yes—
777#466C2314yes—
778#466C2314yes—
779#466C2314yes—
780#465C2314yes—
781#465C2314yes—
782#465C2314yes—
783#465C2314yes—
784#465C2314yes—
785#464C2312yes—
786#464C2314yes—
787#464C2314yes—
788#464C2312yes—
789#464C2314yes—
790#464C2312yes—
791#464C2312yes—
792#463C2312yes—
793#463C2312yes—
794#463C2312yes—
795#463C2314yes—
796#463C2314yes—
797#463C2312yes—
798#463C2314yes—
799#463C2314yes—
800#463C2314yes—
801#463C2312yes—
802#463C2312yes—
803#463C2314yes—
804#463C2314yes—
805#463C2314yes—
806#463C2314yes—
807#463C2314yes—
808#463C2314yes—
809#463C2314yes—
810#463C2314yes—
811#463C2314yes—
812#463C2314yes—
813#463C2314yes—
814#463C2314yes—
815#463C2314yes—
816#462C2312yes—
817#462C2311yescharacteristic
818#462C2312yes—
819#461C2312yes—
820#461C2312yes—
821#461C2312yes—
822#461C2312yes—
823#461C2311yescharacteristic
824#461C2312yes—
825#461C2314yes—
826#461C2314yes—
827#461C2314yes—
828#460C2312yes—
829#460C2312yes—
830#460C2311yescharacteristic
831#460C2314yes—
832#460C2312yes—
833#460C2312yes—
834#460C2314yes—
835#460C2314yes—
836#460C2312yes—
837#460C2312yes—
838#460C2312yes—
839#460C2314yes—
840#459C2312yes—
841#459C2312yes—
842#459C2312yes—
843#459C2314yes—
844#459C2314yes—
845#459C2312yes—
846#459C2311yescharacteristic
847#459C2312yes—
848#459C2314yes—
849#459C2312yes—
850#459C2314yes—
851#459C2314yes—
852#459C2314yes—
853#459C2314yes—
854#459C2314yes—
855#459C2312yes—
856#459C2314yes—
857#459C2314yes—
858#459C2312yes—
859#459C2314yes—
860#459C2314yes—
861#459C2314yes—
862#459C2314yes—
863#459C2314yes—
864#452C2312yes—
865#452C2312yes—
866#452C2312yes—
867#452C2314yes—
868#450C2312yes—
869#450C2312yes—
870#450C2312yes—
871#450C2314yes—
872#449C2314yes—
873#449C2314yes—
874#449C2312yes—
875#449C2314yes—
876#449C2314yes—
877#449C2314yes—
878#449C2314yes—
879#449C2314yes—
880#449C2314yes—
881#449C2314yes—
882#449C2314yes—
883#449C2314yes—
884#449C2314yes—
885#449C2314yes—
886#449C2314yes—
887#449C2314yes—
888#448C2314yes—
889#448C2314yes—
890#448C2314yes—
891#448C2314yes—
892#447C2312yes—
893#447C2314yes—
894#447C2314yes—
895#447C2314yes—
896#447C2314yes—
897#447C2314yes—
898#447C2314yes—
899#447C2314yes—
900#447C2314yes—
901#447C2314yes—
902#447C2314yes—
903#447C2314yes—
904#446C2311yescharacteristic
905#446C2311yescharacteristic
906#446C2311yescharacteristic
907#446C2311yescharacteristic
908#446C2314yes—
909#446C2312yes—
910#446C2312yes—
911#446C2312yes—
912C8×Q8C2312yes—
913#442C2312yes—
914#442C2314yes—
915#442C2314yes—
916#442C2314yes—
917#442C2312yes—
918#442C2314yes—
919#442C2314yes—
920#442C2312yes—
921#442C2314yes—
922#441C2312yes—
923#441C2312yes—
924#441C2312yes—
925#440C2314yes—
926#440C2314yes—
927#440C2312yes—
928#440C2312yes—
929#440C2312yes—
930#440C2312yes—
931#440C2312yes—
932#440C2312yes—
933C4×Q16C2312yes—
934C4×Q16C2311yescharacteristic
935C4×Q16C2311yescharacteristic
936C4×SD16C2312yes—
937C4×SD16C2312yes—
938C4×SD16C2311yescharacteristic
939C4×SD16C2312yes—
940C4×SD16C2311yescharacteristic
941C4×SD16C2312yes—
942C4×SD16C2314yes—
943C4×SD16C2311yescharacteristic
944C4×SD16C2312yes—
945C4×SD16C2314yes—
946C4×SD16C2311yescharacteristic
947C4×SD16C2312yes—
948C4×D8C2312yes—
949C4×D8C2311yescharacteristic
950C4×D8C2314yes—
951C4×D8C2311yescharacteristic
952C4×D8C2314yes—
953#436C2312yes—
954#436C2312yes—
955#436C2312yes—
956#436C2314yes—
957#435C2314yes—
958#435C2314yes—
959#435C2314yes—
960#435C2314yes—
961#435C2314yes—
962#435C2314yes—
963#435C2314yes—
964C8×D4C2312yes—
965C8×D4C2312yes—
966C8×D4C2312yes—
967C8×D4C2314yes—
968#433C2314yes—
969#433C2312yes—
970#433C2314yes—
971#433C2312yes—
972#432C2314yes—
973#432C2314yes—
974#431C2312yes—
975#431C2312yes—
976#428C2311yescharacteristic
977#428C2312yes—
978#428C2311yescharacteristic
979#427C2312yes—
980#427C2311yescharacteristic
981C2×#106C2311yescharacteristic
982#424C2311yescharacteristic
983#424C2312yes—
984#424C2311yescharacteristic
985#424C2314yes—
986#424C2314yes—
987#424C2314yes—
988#423C2312yes—
989#423C2311yescharacteristic
990#423C2314yes—
991#423C2312yes—
992C2×C4⋊C8C2312yes—
993C2×C4⋊C8C2311yescharacteristic
994C2×C4⋊C8C2312yes—
995C2×C4⋊C8C2314yes—
996#419C2314yes—
997#419C2312yes—
998#419C2311yescharacteristic
999#418C2312yes—
1000#418C2312yes—
1001#418C2312yes—
1002#418C2311yescharacteristic
1003#418C2312yes—
1004#418C2314yes—
1005#418C2314yes—
1006#417C2314yes—
1007#417C2314yes—
1008#417C2311yescharacteristic
1009#417C2311yescharacteristic
1010#417C2312yes—
1011#417C2314yes—
1012#416C2312yes—
1013#416C2312yes—
1014#416C2312yes—
1015#416C2311yescharacteristic
1016#416C2312yes—
1017#416C2311yescharacteristic
1018#416C2314yes—
1019#416C2314yes—
1020#416C2314yes—
1021C2×#103C2311yescharacteristic
1022C2×#103C2314yes—
1023C2×#102C2311yescharacteristic
1024C2×#102C2312yes—
1025C2×#102C2312yes—
1026C2×#102C2314yes—
1027C2×#102C2314yes—
1028#408C2312yes—
1029#408C2311yescharacteristic
1030#408C2311yescharacteristic
1031#408C2312yes—
1032C4×M16C2311yescharacteristic
1033C4×M16C2312yes—
1034C2×#97C2312yes—
1035C2×C4×C8C2311yescharacteristic
10362−1+4—44no—
10372−1+4—44no—
1038H(5,𝔽2)—24no—
1039H(5,𝔽2)—28no—
1040H(5,𝔽2)—44no—
1041H(5,𝔽2)—42no—
1042H(5,𝔽2)—44no—
1043H(5,𝔽2)—44no—
1044H(5,𝔽2)—44no—
1045H(5,𝔽2)—44no—
1046C2×#41—22no—
1047C2×#41—21no—
1048C2×#41—22no—
1049C2×#41—21no—
1050C2×#41—22no—
1051C2×#41—24no—
1052C2×#41—22no—
1053C2×#41—22no—
1054C2×#41—22no—
1055C2×#41—24no—
1056C2×#41—22no—
1057C2×#41—24no—
1058C2×#41—22no—
1059C2×#41—24no—
1060C2×#41—24no—
1061C2×#41—24no—
1062C2×#41—22no—
1063C2×#41—84no—
1064C2×#41—88no—
1065C2×#41C2×D412yes—
1066C2×#41C2412yes—
1067C2×#41C2411yescharacteristic
1068C2×#41C2412yes—
1069C2×#41C2414yes—
1070C2×#41C2411yescharacteristic
1071C2×#41C2414yes—
1072C2×#41C2414yes—
1073C2×#41C2414yes—
1074C2×#41C2412yes—
1075C2×#41C2411yescharacteristic
1076C22×Q8—21no—
1077C22×Q8—22no—
1078C22×Q8C2×D411yescharacteristic
1079C22×Q8C2411yescharacteristic
1080C22×Q8C2414yes—
1081C22×D4—21no—
1082C22×D4—22no—
1083C22×D4—24no—
1084C22×D4—22no—
1085C22×D4—22no—
1086C22×D4—22no—
1087C22×D4—24no—
1088C22×D4—24no—
1089C22×D4—24no—
1090C22×D4—22no—
1091C22×D4—22no—
1092C22×D4—24no—
1093C22×D4—22no—
1094C22×D4—24no—
1095C22×D4—22no—
1096C22×D4—21no—
1097C22×D4—22no—
1098C22×D4—21no—
1099C22×D4—22no—
1100C22×D4—22no—
1101C22×D4—21no—
1102C22×D4—21no—
1103C22×D4—22no—
1104C22×D4C2411yescharacteristic
1105C22×D4C2412yes—
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2414yes—
1109C22×D4C2414yes—
1110C22×D4C2414yes—
1111C23×C4—21no—
1112C23×C4—22no—
1113C23×C4—22no—
1114C23×C4—24no—
1115C23×C4—22no—
1116#137—24no—
1117#137—48no—
1118AGL(1,ℤ/8)—28no—
1119AGL(1,ℤ/8)—44no—
1120AGL(1,ℤ/8)—42no—
1121AGL(1,ℤ/8)—44no—
1122AGL(1,ℤ/8)—44no—
1123AGL(1,ℤ/8)—44no—
1124AGL(1,ℤ/8)—48no—
1125AGL(1,ℤ/8)—48no—
1126AGL(1,ℤ/8)—48no—
1127AGL(1,ℤ/8)—48no—
1128AGL(1,ℤ/8)—48no—
1129#135—24no—
1130#135—28no—
1131#135—48no—
1132#135—48no—
1133#135—48no—
1134C2×Q16C2411yescharacteristic
1135C2×Q16C2412yes—
1136C2×Q16C2412yes—
1137C2×SD16—42no—
1138C2×SD16—44no—
1139C2×SD16—48no—
1140C2×SD16C2412yes—
1141C2×SD16C2412yes—
1142C2×SD16C2412yes—
1143C2×SD16C2414yes—
1144C2×SD16C2411yescharacteristic
1145C2×SD16C2411yescharacteristic
1146C2×SD16C2414yes—
1147C2×SD16C2414yes—
1148C2×SD16C2414yes—
1149C2×SD16C2412yes—
1150C2×SD16C2412yes—
1151C2×SD16C2414yes—
1152C2×SD16C2414yes—
1153C2×SD16C2414yes—
1154C2×SD16C2412yes—
1155C2×D8—44no—
1156C2×D8—44no—
1157C2×D8—44no—
1158C2×D8—48no—
1159C2×D8—48no—
1160C2×D8C2411yescharacteristic
1161C2×D8C2412yes—
1162C2×D8C2414yes—
1163C2×D8C2414yes—
1164C2×D8C2414yes—
1165C2×D8C2414yes—
1166C2×D8C2414yes—
1167C2×D8C2414yes—
1168C2×D8C2414yes—
1169C2×D8C2414yes—
1170C2×D8C2414yes—
1171C2×D8C2414yes—
1172C2×D8C2412yes—
1173C2×D8C2414yes—
1174#131—44no—
1175#131—44no—
1176#131—44no—
1177C2×M16C2412yes—
1178C2×M16C2411yescharacteristic
1179C2×M16C2411yescharacteristic
1180C2×M16C2414yes—
1181C2×M16C2414yes—
1182C2×M16C2414yes—
1183C22×C8C2411yescharacteristic
1184C22×C8C2412yes—
1185C22×C8C2411yescharacteristic
1186C22×C8C2414yes—
1187C22×C8C2414yes—
1188C22×C8C2414yes—
1189C4⋊Q8—21no—
1190C4⋊Q8—21no—
1191C4⋊Q8—22no—
1192C4⋊Q8—21no—
1193C4⋊Q8—21no—
1194C4⋊Q8—22no—
1195C4⋊Q8—22no—
1196C4⋊Q8C2×D411yescharacteristic
1197C4⋊Q8C2×D412yes—
1198C4⋊Q8C2411yescharacteristic
1199C4⋊Q8C2412yes—
1200C4⋊Q8C2412yes—
1201C4⋊Q8C2412yes—
1202C4⋊Q8C2411yescharacteristic
1203C4⋊Q8C2412yes—
1204C4⋊Q8C2412yes—
1205C4⋊Q8C2411yescharacteristic
1206#127—22no—
1207#127—22no—
1208#127—24no—
1209#127—22no—
1210#127—22no—
1211#127—22no—
1212#127—22no—
1213#127—24no—
1214#127—22no—
1215#127—22no—
1216#127—22no—
1217#127—21no—
1218#127—21no—
1219#127—22no—
1220#127—21no—
1221#127—22no—
1222#127—21no—
1223#127—22no—
1224#127—22no—
1225#127C2×D411yescharacteristic
1226#127C2×D412yes—
1227#127C2412yes—
1228#127C2411yescharacteristic
1229#127C2414yes—
1230#127C2414yes—
1231#127C2412yes—
1232#127C2412yes—
1233#127C2414yes—
1234#127C2412yes—
1235#127C2412yes—
1236#126—22no—
1237#126—24no—
1238#126—22no—
1239#126—22no—
1240#126—24no—
1241#126—24no—
1242#126—24no—
1243#126—22no—
1244#126—22no—
1245#126—22no—
1246#126—24no—
1247#126—22no—
1248#126C2×D414yes—
1249#126C2×D414yes—
1250#126C2×D414yes—
1251#125—21no—
1252#125—22no—
1253#125—21no—
1254#125—22no—
1255#125—22no—
1256#125—22no—
1257#125—22no—
1258#125—22no—
1259#125—22no—
1260#125C2×D414yes—
1261#125C2×D412yes—
1262#125C2412yes—
1263#125C2412yes—
1264#125C2412yes—
1265#125C2412yes—
1266#124—22no—
1267#124—22no—
1268#124—22no—
1269#124—24no—
1270#124—21no—
1271#124—22no—
1272#124—22no—
1273#124—22no—
1274#124—22no—
1275#124—21no—
1276#124—24no—
1277#124—24no—
1278#124—22no—
1279#124—24no—
1280#124—24no—
1281#124—24no—
1282#124—24no—
1283#124—24no—
1284#124—22no—
1285#124—22no—
1286#124—24no—
1287#124—24no—
1288#124—22no—
1289#124—24no—
1290#124—24no—
1291#124—22no—
1292#124—24no—
1293#124C2×D412yes—
1294#124C2×D412yes—
1295#124C2×D414yes—
1296#124C2×D412yes—
1297#124C2×D412yes—
1298#124C2412yes—
1299#124C2412yes—
1300#124C2414yes—
1301#124C2414yes—
1302#124C2414yes—
1303#124C2412yes—
1304#124C2412yes—
1305#123—22no—
1306#123—22no—
1307#123—24no—
1308#123—24no—
1309#123—24no—
1310#123—24no—
1311#123—24no—
1312#123—24no—
1313#123—24no—
1314#123—24no—
1315#123—24no—
1316#123—22no—
1317#123—22no—
1318#123—24no—
1319#123—22no—
1320#123—24no—
1321#123—24no—
1322#123—24no—
1323#123—24no—
1324#123—24no—
1325#123—24no—
1326#123—24no—
1327#123—24no—
1328#123—24no—
1329#123—24no—
1330#123—24no—
1331#123—24no—
1332#123—24no—
1333#123—24no—
1334#123—22no—
1335#123—22no—
1336#123—24no—
1337#123—24no—
1338#123—24no—
1339#123—24no—
1340#123C2×D414yes—
1341#123C2×D414yes—
1342#123C2×D414yes—
1343C22⋊Q8—21no—
1344C22⋊Q8—22no—
1345C22⋊Q8—22no—
1346C22⋊Q8—22no—
1347C22⋊Q8—21no—
1348C22⋊Q8—21no—
1349C22⋊Q8—21no—
1350C22⋊Q8—22no—
1351C22⋊Q8—22no—
1352C22⋊Q8—21no—
1353C22⋊Q8—22no—
1354C22⋊Q8—22no—
1355C22⋊Q8—24no—
1356C22⋊Q8—21no—
1357C22⋊Q8—22no—
1358C22⋊Q8—24no—
1359C22⋊Q8—21no—
1360C22⋊Q8—21no—
1361C22⋊Q8—22no—
1362C22⋊Q8—22no—
1363C22⋊Q8—22no—
1364C22⋊Q8—22no—
1365C22⋊Q8—24no—
1366C22⋊Q8—24no—
1367C22⋊Q8—24no—
1368C22⋊Q8—24no—
1369C22⋊Q8—24no—
1370C22⋊Q8—22no—
1371C22⋊Q8—24no—
1372C22⋊Q8C2×D414yes—
1373C22⋊Q8C2×D412yes—
1374C22⋊Q8C2412yes—
1375C22⋊Q8C2414yes—
1376C22⋊Q8C2412yes—
1377C22⋊Q8C2412yes—
1378#121—22no—
1379#121—24no—
1380#121—22no—
1381#121—24no—
1382#121—24no—
1383#121—24no—
1384#121—24no—
1385#121—24no—
1386#121—21no—
1387#121—22no—
1388#121—24no—
1389#121—24no—
1390#121—24no—
1391#121—22no—
1392#121—22no—
1393#121—24no—
1394#121—21no—
1395#121—22no—
1396#121—24no—
1397#121—24no—
1398#121—21no—
1399#121—22no—
1400#121—24no—
1401#121—24no—
1402#121—22no—
1403#121—22no—
1404#121—22no—
1405#121—24no—
1406#121—22no—
1407#121—24no—
1408#121—24no—
1409#121—24no—
1410#121—24no—
1411#121—24no—
1412#121—22no—
1413#121—24no—
1414#121—22no—
1415#121—22no—
1416#121—21no—
1417#121—22no—
1418#121—24no—
1419#121—22no—
1420#121—22no—
1421#121—22no—
1422#121—24no—
1423#121—24no—
1424#121—24no—
1425#121—24no—
1426#121—24no—
1427#121—24no—
1428#121—24no—
1429#121—24no—
1430#121—24no—
1431#121—24no—
1432#121—24no—
1433#121—24no—
1434#121—24no—
1435#121—24no—
1436#121—24no—
1437#121—24no—
1438#121—24no—
1439#121—24no—
1440#121—24no—
1441#121—24no—
1442#121—24no—
1443#121—24no—
1444#121—24no—
1445#121—24no—
1446#121—24no—
1447#121C2×D414yes—
1448#121C2×D412yes—
1449#121C2×D414yes—
1450#121C2×D412yes—
1451#121C2×D414yes—
1452#121C2×D412yes—
1453#121C2414yes—
1454#121C2412yes—
1455#121C2414yes—
1456#121C2414yes—
1457#121C2414yes—
1458#121C2414yes—
1459#121C2414yes—
1460#121C2414yes—
1461#121C2414yes—
1462#121C2414yes—
1463#120—24no—
1464#120—24no—
1465#120—24no—
1466#120—24no—
1467#120—24no—
1468#120—24no—
1469#120—24no—
1470#120—24no—
1471#120—24no—
1472#120—24no—
1473#120—24no—
1474#120—24no—
1475#120—24no—
1476#120—24no—
1477#120—24no—
1478#120—24no—
1479#120—24no—
1480#120—24no—
1481#120—24no—
1482#120—24no—
1483#120—24no—
1484#120—24no—
1485#120—24no—
1486C4×Q8—21no—
1487C4×Q8—22no—
1488C4×Q8—21no—
1489C4×Q8—21no—
1490C4×Q8—21no—
1491C4×Q8—22no—
1492C4×Q8—21no—
1493C4×Q8—22no—
1494C4×Q8—21no—
1495C4×Q8—21no—
1496C4×Q8—22no—
1497C4×Q8—22no—
1498C4×Q8—21no—
1499C4×Q8C2×D411yescharacteristic
1500C4×Q8C2×D411yescharacteristic
1501C4×Q8C2×D412yes—
1502C4×Q8C2×D411yescharacteristic
1503C4×Q8C2×D412yes—
1504C4×Q8C2×D412yes—
1505C4×Q8C2×D412yes—
1506C4×Q8C2×D411yescharacteristic
1507C4×Q8C2412yes—
1508C4×Q8C2412yes—
1509C4×Q8C2412yes—
1510C4×Q8C2411yescharacteristic
1511C4×Q8C2412yes—
1512C4×Q8C2412yes—
1513C4×Q8C2411yescharacteristic
1514C4×Q8C2412yes—
1515C4×Q8C2411yescharacteristic
1516C4×Q8C2411yescharacteristic
1517C4×Q8C2412yes—
1518C4×Q8C2411yescharacteristic
1519C4×Q8C2411yescharacteristic
1520C4×Q8C2412yes—
1521C4×D4—24no—
1522C4×D4—22no—
1523C4×D4—21no—
1524C4×D4—22no—
1525C4×D4—22no—
1526C4×D4—21no—
1527C4×D4—22no—
1528C4×D4—22no—
1529C4×D4—24no—
1530C4×D4—24no—
1531C4×D4—22no—
1532C4×D4—22no—
1533C4×D4—21no—
1534C4×D4—22no—
1535C4×D4—21no—
1536C4×D4—22no—
1537C4×D4—21no—
1538C4×D4—24no—
1539C4×D4—22no—
1540C4×D4—22no—
1541C4×D4—22no—
1542C4×D4—24no—
1543C4×D4—21no—
1544C4×D4—22no—
1545C4×D4—24no—
1546C4×D4—22no—
1547C4×D4—21no—
1548C4×D4—22no—
1549C4×D4—24no—
1550C4×D4—21no—
1551C4×D4—22no—
1552C4×D4—22no—
1553C4×D4—24no—
1554C4×D4—22no—
1555C4×D4—22no—
1556C4×D4—22no—
1557C4×D4—24no—
1558C4×D4—22no—
1559C4×D4—22no—
1560C4×D4—22no—
1561C4×D4—22no—
1562C4×D4—24no—
1563C4×D4—22no—
1564C4×D4—24no—
1565C4×D4—24no—
1566C4×D4—24no—
1567C4×D4—24no—
1568C4×D4—24no—
1569C4×D4—24no—
1570C4×D4—24no—
1571C4×D4—22no—
1572C4×D4—24no—
1573C4×D4—21no—
1574C4×D4—22no—
1575C4×D4—24no—
1576C4×D4—22no—
1577C4×D4—22no—
1578C4×D4—21no—
1579C4×D4—22no—
1580C4×D4—22no—
1581C4×D4—21no—
1582C4×D4—22no—
1583C4×D4—22no—
1584C4×D4—24no—
1585C4×D4—24no—
1586C4×D4—24no—
1587C4×D4—22no—
1588C4×D4—24no—
1589C4×D4—22no—
1590C4×D4—22no—
1591C4×D4—21no—
1592C4×D4—24no—
1593C4×D4—22no—
1594C4×D4C2×D412yes—
1595C4×D4C2×D411yescharacteristic
1596C4×D4C2×D414yes—
1597C4×D4C2×D412yes—
1598C4×D4C2×D414yes—
1599C4×D4C2×D412yes—
1600C4×D4C2×D412yes—
1601C4×D4C2×D412yes—
1602C4×D4C2×D411yescharacteristic
1603C4×D4C2×D414yes—
1604C4×D4C2412yes—
1605C4×D4C2411yescharacteristic
1606C4×D4C2412yes—
1607C4×D4C2412yes—
1608C4×D4C2414yes—
1609C4×D4C2412yes—
1610C4×D4C2414yes—
1611C4×D4C2414yes—
1612C4×D4C2412yes—
1613C4×D4C2414yes—
1614C4×D4C2414yes—
1615C4×D4C2412yes—
1616C4×D4C2414yes—
1617C4×D4C2412yes—
1618C4×D4C2411yescharacteristic
1619C4×D4C2411yescharacteristic
1620C4×D4C2412yes—
1621C4×D4C2412yes—
1622C4×D4C2411yescharacteristic
1623C4×D4C2412yes—
1624C4×D4C2414yes—
1625C4×D4C2414yes—
1626C4×D4C2412yes—
1627#117—22no—
1628#117—21no—
1629#117—21no—
1630#117—22no—
1631#117—24no—
1632#117—22no—
1633#117—24no—
1634#117—22no—
1635#117—22no—
1636#117—21no—
1637#117—24no—
1638#117—22no—
1639#117—21no—
1640#117—22no—
1641#117—22no—
1642#117—24no—
1643#117C2×D412yes—
1644#117C2×D414yes—
1645#117C2411yescharacteristic
1646#117C2411yescharacteristic
1647#117C2412yes—
1648#117C2412yes—
1649#117C2414yes—
1650#117C2411yescharacteristic
1651#117C2412yes—
1652#117C2414yes—
1653C2×C4⋊C4—21no—
1654C2×C4⋊C4—21no—
1655C2×C4⋊C4—22no—
1656C2×C4⋊C4—24no—
1657C2×C4⋊C4—21no—
1658C2×C4⋊C4—22no—
1659C2×C4⋊C4—24no—
1660C2×C4⋊C4C2×D411yescharacteristic
1661C2×C4⋊C4C2×D412yes—
1662C2×C4⋊C4C2411yescharacteristic
1663C2×C4⋊C4C2411yescharacteristic
1664C2×C4⋊C4C2412yes—
1665C2×C4⋊C4C2414yes—
1666C2×C22⋊C4—22no—
1667C2×C22⋊C4—22no—
1668C2×C22⋊C4—21no—
1669C2×C22⋊C4—24no—
1670C2×C22⋊C4—22no—
1671C2×C22⋊C4—22no—
1672C2×C22⋊C4—24no—
1673C2×C22⋊C4—22no—
1674C2×C22⋊C4—24no—
1675C2×C22⋊C4—22no—
1676C2×C22⋊C4—24no—
1677C2×C22⋊C4—22no—
1678C2×C22⋊C4—24no—
1679C2×C22⋊C4—22no—
1680C2×C22⋊C4—24no—
1681C2×C22⋊C4—24no—
1682C2×C22⋊C4—24no—
1683C2×C22⋊C4—24no—
1684C2×C22⋊C4—24no—
1685C2×C42—21no—
1686C2×C42—21no—
1687C2×C42—22no—
1688C2×C42—22no—
1689C2×C42—24no—
1690C2×C42—22no—
1691C2×C42—21no—
1692C2×C42C2412yes—
1693C2×C42C2411yescharacteristic
1694C2×C42C2414yes—
1695C2×C42C2412yes—
1696#107C2411yescharacteristic
1697#107C2411yescharacteristic
1698#107C2412yes—
1699#107C2412yes—
1700#107C2412yes—
1701#107C2414yes—
1702#107C2412yes—
1703#106C2412yes—
1704#106C2412yes—
1705#106C2411yescharacteristic
1706#106C2411yescharacteristic
1707#106C2412yes—
1708#106C2412yes—
1709#106C2412yes—
1710#106C2412yes—
1711#106C2414yes—
1712C4⋊C8C2412yes—
1713C4⋊C8C2411yescharacteristic
1714C4⋊C8C2412yes—
1715C4⋊C8C2411yescharacteristic
1716C4⋊C8C2412yes—
1717C4⋊C8C2412yes—
1718C4⋊C8C2414yes—
1719C4⋊C8C2414yes—
1720C4⋊C8C2414yes—
1721C4⋊C8C2412yes—
1722C4⋊C8C2412yes—
1723C4⋊C8C2412yes—
1724C4⋊C8C2412yes—
1725C4⋊C8C2412yes—
1726C4⋊C8C2414yes—
1727C4⋊C8C2412yes—
1728C4⋊C8C2412yes—
1729#103C2412yes—
1730#103C2412yes—
1731#103C2414yes—
1732#103C2412yes—
1733#103C2414yes—
1734#103C2412yes—
1735#103C2412yes—
1736#103C2412yes—
1737#103C2412yes—
1738#103C2412yes—
1739#103C2414yes—
1740#103C2412yes—
1741#103C2411yescharacteristic
1742#103C2411yescharacteristic
1743#103C2411yescharacteristic
1744#103C2411yescharacteristic
1745#103C2412yes—
1746#103C2412yes—
1747#103C2412yes—
1748#103C2412yes—
1749#103C2412yes—
1750#102C2414yes—
1751#102C2414yes—
1752#102C2412yes—
1753#102C2412yes—
1754#102C2412yes—
1755#102C2414yes—
1756#102C2414yes—
1757#102C2414yes—
1758#102C2412yes—
1759#102C2412yes—
1760#102C2414yes—
1761#102C2414yes—
1762#102C2412yes—
1763#102C2412yes—
1764#102C2412yes—
1765#102C2414yes—
1766#102C2414yes—
1767#102C2412yes—
1768#102C2411yescharacteristic
1769#102C2411yescharacteristic
1770#102C2411yescharacteristic
1771#102C2411yescharacteristic
1772#102C2412yes—
1773#102C2412yes—
1774#102C2412yes—
1775#102C2414yes—
1776#102C2414yes—
1777#102C2412yes—
1778#102C2414yes—
1779#102C2414yes—
1780#102C2412yes—
1781C22⋊C8C2412yes—
1782C22⋊C8C2412yes—
1783C22⋊C8C2412yes—
1784C22⋊C8C2412yes—
1785C22⋊C8C2414yes—
1786C22⋊C8C2414yes—
1787C22⋊C8C2414yes—
1788C22⋊C8C2414yes—
1789#97C2412yes—
1790#97C2412yes—
1791#97C2412yes—
1792#97C2412yes—
1793#97C2414yes—
1794#97C2412yes—
1795C4×C8C2411yescharacteristic
1796C4×C8C2411yescharacteristic
1797C4×C8C2411yescharacteristic
1798C4×C8C2411yescharacteristic
1799C4×C8C2412yes—
1800C4×C8C2414yes—
1801C24—22no—
1802C24—24no—
1803C24—22no—
1804C24—21no—
1805C24—22no—
1806C24—24no—
1807C24—24no—
1808#41—22no—
1809#41—24no—
1810#41—22no—
1811#41—22no—
1812#41—24no—
1813#41—24no—
1814#41—28no—
1815#41—22no—
1816#41—24no—
1817#41—22no—
1818#41—24no—
1819#41—44no—
1820#41—42no—
1821#41—44no—
1822#41—48no—
1823#41—44no—
1824#41—44no—
1825#41—44no—
1826#41—44no—
1827#41—44no—
1828#41—44no—
1829#41—44no—
1830#41—48no—
1831#41—84no—
1832#41—88no—
1833#41—84no—
1834#41—84no—
1835#41—82no—
1836#41—84no—
1837#41—84no—
1838#41—84no—
1839#41—88no—
1840#41—88no—
1841#41—88no—
1842#41—162no—
1843#41—164no—
1844#41—164no—
1845#41H(5,𝔽2)14yes—
1846C2×Q8—22no—
1847C2×Q8—21no—
1848C2×Q8—21no—
1849C2×Q8—22no—
1850C2×Q8—22no—
1851C2×Q8—21no—
1852C2×Q8—24no—
1853C2×Q8—22no—
1854C2×Q8—22no—
1855C2×Q8—42no—
1856C2×Q8—44no—
1857C2×Q8—44no—
1858C2×Q8—44no—
1859C2×Q8—84no—
1860C2×Q8C22×D411yescharacteristic
1861C2×Q8C22×D412yes—
1862C2×Q8C22×D411yescharacteristic
1863C2×Q8C22×D411yescharacteristic
1864C2×Q8C22×D412yes—
1865C2×Q8C2512yes—
1866C2×Q8C2512yes—
1867C2×Q8C2511yescharacteristic
1868C2×Q8C2511yescharacteristic
1869C2×D4—21no—
1870C2×D4—24no—
1871C2×D4—28no—
1872C2×D4—22no—
1873C2×D4—24no—
1874C2×D4—22no—
1875C2×D4—21no—
1876C2×D4—24no—
1877C2×D4—22no—
1878C2×D4—24no—
1879C2×D4—24no—
1880C2×D4—24no—
1881C2×D4—24no—
1882C2×D4—24no—
1883C2×D4—24no—
1884C2×D4—24no—
1885C2×D4—24no—
1886C2×D4—24no—
1887C2×D4—24no—
1888C2×D4—24no—
1889C2×D4—24no—
1890C2×D4—22no—
1891C2×D4—22no—
1892C2×D4—21no—
1893C2×D4—21no—
1894C2×D4—22no—
1895C2×D4—24no—
1896C2×D4—22no—
1897C2×D4—22no—
1898C2×D4—22no—
1899C2×D4—22no—
1900C2×D4—24no—
1901C2×D4—24no—
1902C2×D4—22no—
1903C2×D4—24no—
1904C2×D4—22no—
1905C2×D4—22no—
1906C2×D4—22no—
1907C2×D4—22no—
1908C2×D4—24no—
1909C2×D4—21no—
1910C2×D4—24no—
1911C2×D4—22no—
1912C2×D4—24no—
1913C2×D4—24no—
1914C2×D4—24no—
1915C2×D4—22no—
1916C2×D4—24no—
1917C2×D4—24no—
1918C2×D4—24no—
1919C2×D4—22no—
1920C2×D4—42no—
1921C2×D4—44no—
1922C2×D4—44no—
1923C2×D4—44no—
1924C2×D4—44no—
1925C2×D4—44no—
1926C2×D4—44no—
1927C2×D4—48no—
1928C2×D4—48no—
1929C2×D4—416no—
1930C2×D4—82no—
1931C2×D4—84no—
1932C2×D4—82no—
1933C2×D4—84no—
1934C2×D4—84no—
1935C2×D4—84no—
1936C2×D4—84no—
1937C2×D4—84no—
1938C2×D4—88no—
1939C2×D4—88no—
1940C2×D4—88no—
1941C2×D4—162no—
1942C2×D4—161no—
1943C2×D4—161no—
1944C2×D4—162no—
1945C2×D4—164no—
1946C2×D4—164no—
1947C2×D4—162no—
1948C2×D4—162no—
1949C2×D4C22×D414yes—
1950C2×D4C22×D412yes—
1951C2×D4C22×D411yescharacteristic
1952C2×D4C22×D412yes—
1953C2×D4C22×D412yes—
1954C2×D4C22×D414yes—
1955C2×D4C22×D414yes—
1956C2×D4C22×D412yes—
1957C2×D4C2511yescharacteristic
1958C2×D4C2514yes—
1959C2×D4C2512yes—
1960C2×D4C2512yes—
1961C2×D4C2514yes—
1962C2×D4C2511yescharacteristic
1963C22×C4—21no—
1964C22×C4—21no—
1965C22×C4—21no—
1966C22×C4—21no—
1967C22×C4—24no—
1968C22×C4—22no—
1969C22×C4—24no—
1970C22×C4—24no—
1971C22×C4—22no—
1972C22×C4—22no—
1973C22×C4—21no—
1974C22×C4—21no—
1975C22×C4—22no—
1976C22×C4—21no—
1977C22×C4—24no—
1978C22×C4—22no—
1979C22×C4—21no—
1980C22×C4—22no—
1981C22×C4—22no—
1982C22×C4—22no—
1983C22×C4—24no—
1984C22×C4—22no—
1985C22×C4—21no—
1986C22×C4—22no—
1987C22×C4—24no—
1988C22×C4—24no—
1989C22×C4—22no—
1990C22×C4—24no—
1991C22×C4—22no—
1992C22×C4—24no—
1993C22×C4—24no—
1994C22×C4—24no—
1995C22×C4—24no—
1996C22×C4—82no—
1997C22×C4—84no—
1998C22×C4—84no—
1999C22×C4—88no—
2000C22×C4—162no—
2001C22×C4C22×D411yescharacteristic
2002C22×C4C22×D412yes—
2003C22×C4C22×D412yes—
2004C22×C4C22×D412yes—
2005C22×C4C22×D414yes—
2006C22×C4C22×D411yescharacteristic
2007C22×C4C22×D414yes—
2008C22×C4C22×D412yes—
2009C22×C4C2514yes—
2010C22×C4C2512yes—
2011C22×C4C2511yescharacteristic
2012Q16—22no—
2013Q16—24no—
2014Q16—24no—
2015SD16—24no—
2016SD16—22no—
2017SD16—28no—
2018SD16—24no—
2019SD16—24no—
2020SD16—22no—
2021SD16—44no—
2022SD16—42no—
2023SD16—42no—
2024SD16—44no—
2025SD16—44no—
2026SD16—44no—
2027SD16—44no—
2028SD16—44no—
2029SD16—42no—
2030D8—22no—
2031D8—24no—
2032D8—28no—
2033D8—44no—
2034D8—44no—
2035D8—44no—
2036D8—44no—
2037D8—44no—
2038D8—44no—
2039D8—44no—
2040D8—44no—
2041D8—44no—
2042D8—44no—
2043D8—42no—
2044M16—24no—
2045M16—22no—
2046M16—22no—
2047M16—44no—
2048M16—44no—
2049M16—44no—
2050C2×C8—22no—
2051C2×C8—24no—
2052C2×C8—22no—
2053C2×C8—44no—
2054C2×C8—44no—
2055C2×C8—44no—
2056C2×C8C2512yes—
2057C2×C8C2511yescharacteristic
2058C2×C8C2511yescharacteristic
2059C2×C8C2511yescharacteristic
2060C2×C8C2511yescharacteristic
2061C2×C8C2512yes—
2062C2×C8C2514yes—
2063C2×C8C2512yes—
2064C2×C8C2512yes—
2065C4⋊C4—22no—
2066C4⋊C4—21no—
2067C4⋊C4—22no—
2068C4⋊C4—22no—
2069C4⋊C4—22no—
2070C4⋊C4—21no—
2071C4⋊C4—24no—
2072C4⋊C4—22no—
2073C4⋊C4—22no—
2074C4⋊C4—21no—
2075C4⋊C4—24no—
2076C4⋊C4—22no—
2077C4⋊C4—22no—
2078C4⋊C4—22no—
2079C4⋊C4—22no—
2080C4⋊C4—22no—
2081C4⋊C4—21no—
2082C4⋊C4—22no—
2083C4⋊C4—21no—
2084C4⋊C4—22no—
2085C4⋊C4—21no—
2086C4⋊C4—22no—
2087C4⋊C4—22no—
2088C4⋊C4—22no—
2089C4⋊C4—22no—
2090C4⋊C4—22no—
2091C4⋊C4—21no—
2092C4⋊C4—21no—
2093C4⋊C4—22no—
2094C4⋊C4—22no—
2095C4⋊C4—21no—
2096C4⋊C4—22no—
2097C4⋊C4—22no—
2098C4⋊C4—22no—
2099C4⋊C4—21no—
2100C4⋊C4—22no—
2101C4⋊C4—22no—
2102C4⋊C4—22no—
2103C4⋊C4C22×D411yescharacteristic
2104C4⋊C4C22×D412yes—
2105C4⋊C4C22×D411yescharacteristic
2106C4⋊C4C22×D412yes—
2107C4⋊C4C22×D414yes—
2108C4⋊C4C22×D414yes—
2109C4⋊C4C22×D411yescharacteristic
2110C4⋊C4C22×D412yes—
2111C4⋊C4C22×D412yes—
2112C4⋊C4C22×D412yes—
2113C4⋊C4C22×D412yes—
2114C4⋊C4C22×D412yes—
2115C4⋊C4C22×D414yes—
2116C4⋊C4C22×D411yescharacteristic
2117C4⋊C4C22×D412yes—
2118C4⋊C4C22×D414yes—
2119C4⋊C4C22×D412yes—
2120C4⋊C4C2512yes—
2121C4⋊C4C2512yes—
2122C4⋊C4C2511yescharacteristic
2123C4⋊C4C2512yes—
2124C4⋊C4C2511yescharacteristic
2125C4⋊C4C2512yes—
2126C4⋊C4C2511yescharacteristic
2127C4⋊C4C2511yescharacteristic
2128C22⋊C4—22no—
2129C22⋊C4—22no—
2130C22⋊C4—21no—
2131C22⋊C4—22no—
2132C22⋊C4—22no—
2133C22⋊C4—24no—
2134C22⋊C4—22no—
2135C22⋊C4—24no—
2136C22⋊C4—21no—
2137C22⋊C4—22no—
2138C22⋊C4—22no—
2139C22⋊C4—24no—
2140C22⋊C4—22no—
2141C22⋊C4—21no—
2142C22⋊C4—22no—
2143C22⋊C4—22no—
2144C22⋊C4—21no—
2145C22⋊C4—22no—
2146C22⋊C4—24no—
2147C22⋊C4—22no—
2148C22⋊C4—24no—
2149C22⋊C4—24no—
2150C22⋊C4—22no—
2151C22⋊C4—24no—
2152C22⋊C4—22no—
2153C22⋊C4—22no—
2154C22⋊C4—22no—
2155C22⋊C4—22no—
2156C22⋊C4—22no—
2157C22⋊C4—24no—
2158C22⋊C4—24no—
2159C22⋊C4—24no—
2160C22⋊C4—24no—
2161C22⋊C4—24no—
2162C22⋊C4—24no—
2163C22⋊C4—24no—
2164C22⋊C4—24no—
2165C22⋊C4—24no—
2166C22⋊C4—24no—
2167C22⋊C4—22no—
2168C22⋊C4—24no—
2169C22⋊C4—24no—
2170C22⋊C4—24no—
2171C22⋊C4—21no—
2172C22⋊C4—21no—
2173C22⋊C4—22no—
2174C22⋊C4—22no—
2175C22⋊C4—22no—
2176C22⋊C4—22no—
2177C22⋊C4—24no—
2178C22⋊C4—24no—
2179C22⋊C4—24no—
2180C22⋊C4C22×D412yes—
2181C22⋊C4C22×D414yes—
2182C22⋊C4C22×D414yes—
2183C22⋊C4C22×D412yes—
2184C22⋊C4C22×D412yes—
2185C22⋊C4C22×D414yes—
2186C22⋊C4C22×D414yes—
2187C22⋊C4C22×D414yes—
2188C22⋊C4C22×D414yes—
2189C22⋊C4C22×D414yes—
2190C22⋊C4C22×D414yes—
2191C42—22no—
2192C42—21no—
2193C42—22no—
2194C42—21no—
2195C42—22no—
2196C42—24no—
2197C42—22no—
2198C42—22no—
2199C42—21no—
2200C42—22no—
2201C42—21no—
2202C42—21no—
2203C42—21no—
2204C42—22no—
2205C42—22no—
2206C42—22no—
2207C42C22×D411yescharacteristic
2208C42C22×D412yes—
2209C42C22×D412yes—
2210C42C22×D412yes—
2211C42C22×D414yes—
2212C42C22×D414yes—
2213C42C22×D411yescharacteristic
2214C42C22×D412yes—
2215C42C2511yescharacteristic
2216C42C2512yes—
2217C42C2511yescharacteristic
2218C42C2512yes—
2219C42C2512yes—
2220C23—21no—
2221C23—21no—
2222C23—24no—
2223C23—22no—
2224C23—22no—
2225C23—24no—
2226C23—48no—
2227C23—44no—
2228C23—42no—
2229C23—44no—
2230C23—44no—
2231C23—81no—
2232C23—82no—
2233C23—82no—
2234C23—84no—
2235C23—82no—
2236C23—82no—
2237C23—81no—
2238C23—82no—
2239C23—84no—
2240C23—82no—
2241C23—84no—
2242C23—84no—
2243C23—84no—
2244C23—84no—
2245C23—84no—
2246C23—84no—
2247C23C23×D412yes—
2248C23C23×D414yes—
2249C23C23×D411yescharacteristic
2250Q8—22no—
2251Q8—22no—
2252Q8—21no—
2253Q8—24no—
2254Q8—22no—
2255Q8—22no—
2256Q8—22no—
2257Q8—21no—
2258Q8—22no—
2259Q8—22no—
2260Q8—21no—
2261Q8—42no—
2262Q8—44no—
2263Q8—42no—
2264Q8—42no—
2265Q8—84no—
2266Q8—82no—
2267Q8—82no—
2268Q8—81no—
2269Q8C2×H(5,𝔽2)12yes—
2270D4—24no—
2271D4—24no—
2272D4—28no—
2273D4—24no—
2274D4—24no—
2275D4—21no—
2276D4—22no—
2277D4—22no—
2278D4—24no—
2279D4—21no—
2280D4—24no—
2281D4—24no—
2282D4—21no—
2283D4—22no—
2284D4—22no—
2285D4—22no—
2286D4—24no—
2287D4—44no—
2288D4—44no—
2289D4—42no—
2290D4—44no—
2291D4—48no—
2292D4—48no—
2293D4—44no—
2294D4—48no—
2295D4—42no—
2296D4—44no—
2297D4—44no—
2298D4—44no—
2299D4—42no—
2300D4—42no—
2301D4—44no—
2302D4—44no—
2303D4—84no—
2304D4—84no—
2305D4—84no—
2306D4—82no—
2307D4—82no—
2308D4—84no—
2309D4—82no—
2310D4—81no—
2311D4—84no—
2312D4—82no—
2313D4—82no—
2314D4—82no—
2315D4—84no—
2316D4—84no—
2317D4—82no—
2318D4—82no—
2319D4—84no—
2320D4—84no—
2321D4—84no—
2322D4—84no—
2323D4—84no—
2324D4—84no—
2325D4—82no—
2326D4—84no—
2327D4—84no—
2328D4—84no—
2329D4—84no—
2330D4—84no—
2331D4—84no—
2332D4C2×H(5,𝔽2)12yes—
2333C2×C4—21no—
2334C2×C4—22no—
2335C2×C4—24no—
2336C2×C4—22no—
2337C2×C4—24no—
2338C2×C4—22no—
2339C2×C4—24no—
2340C2×C4—24no—
2341C2×C4—21no—
2342C2×C4—21no—
2343C2×C4—22no—
2344C2×C4—21no—
2345C2×C4—22no—
2346C2×C4—22no—
2347C2×C4—22no—
2348C2×C4—22no—
2349C2×C4—22no—
2350C2×C4—21no—
2351C2×C4—21no—
2352C2×C4—42no—
2353C2×C4—44no—
2354C2×C4—42no—
2355C2×C4—41no—
2356C2×C4—42no—
2357C2×C4—44no—
2358C2×C4—44no—
2359C2×C4—48no—
2360C2×C4—44no—
2361C2×C4—48no—
2362C2×C4—42no—
2363C2×C4—42no—
2364C2×C4—44no—
2365C2×C4—42no—
2366C2×C4—42no—
2367C2×C4—44no—
2368C2×C4—82no—
2369C2×C4—82no—
2370C2×C4—84no—
2371C2×C4—82no—
2372C2×C4—84no—
2373C2×C4—84no—
2374C2×C4—84no—
2375C2×C4—84no—
2376C2×C4—84no—
2377C2×C4—82no—
2378C2×C4—81no—
2379C2×C4—81no—
2380C2×C4—84no—
2381C2×C4—82no—
2382C2×C4—82no—
2383C2×C4—84no—
2384C2×C4—82no—
2385C2×C4—81no—
2386C2×C4—82no—
2387C2×C4—84no—
2388C2×C4—81no—
2389C2×C4—84no—
2390C2×C4C23×D411yescharacteristic
2391C2×C4C23×D411yescharacteristic
2392C2×C4C23×D412yes—
2393C2×C4C23×D412yes—
2394C2×C4C23×D412yes—
2395C2×C4C23×D414yes—
2396C2×C4C23×D412yes—
2397C2×C4C23×D412yes—
2398C2×C4C23×D412yes—
2399C2×C4C23×D412yes—
2400C2×C4C23×D411yescharacteristic
2401C2×C4C23×D411yescharacteristic
2402C2×C4C23×D411yescharacteristic
2403C2×C4C2×H(5,𝔽2)12yes—
2404C2×C4#58512yes—
2405C2×C4C2611yescharacteristic
2406C8—21no—
2407C8—22no—
2408C8—22no—
2409C8—21no—
2410C8—24no—
2411C8—22no—
2412C8—21no—
2413C8—21no—
2414C8—22no—
2415C22—21no—
2416C22—21no—
2417C22—24no—
2418C22—22no—
2419C22—22no—
2420C22—22no—
2421C22—24no—
2422C22—24no—
2423C22—22no—
2424C22—41no—
2425C22—41no—
2426C22—42no—
2427C22—42no—
2428C22—44no—
2429C22—41no—
2430C22—44no—
2431C22—44no—
2432C22—42no—
2433C22—41no—
2434C22—42no—
2435C22—44no—
2436C22—44no—
2437C22—42no—
2438C22—44no—
2439C22—42no—
2440C22—41no—
2441C22—162no—
2442C22—164no—
2443C22—164no—
2444C22—168no—
2445C22—164no—
2446C22—324no—
2447C22—324no—
2448C22#348812yes—
2449C22C24×D411yescharacteristic
2450C4—22no—
2451C4—22no—
2452C4—24no—
2453C4—22no—
2454C4—21no—
2455C4—22no—
2456C4—22no—
2457C4—22no—
2458C4—22no—
2459C4—21no—
2460C4—22no—
2461C4—21no—
2462C4—41no—
2463C4—42no—
2464C4—42no—
2465C4—42no—
2466C4—42no—
2467C4—41no—
2468C4—41no—
2469C4—42no—
2470C4—41no—
2471C4—42no—
2472C4—41no—
2473C4#348812yes—
2474C4#358512yes—
2475C4C22×H(5,𝔽2)11yescharacteristic
2476C4C2×#58511yescharacteristic
2477C2—22no—
2478C2—44no—
2479C2—42no—
2480C2—42no—
2481C2—82no—
2482C2—84no—
2483C2—84no—
2484C2—82no—
2485C2—81no—
2486C2C2×#348811yescharacteristic
2487C2C2×#358511yescharacteristic
2488C2#6309111yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3480 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62986C2semidirect
2. #62961C2semidirect
3. #62093C2semidirect
4. #62075C2semidirect
5. #62073C2semidirect
6. #62051C2semidirect
7. #62039C2semidirect
8. #62037C2semidirect
9. #62015C2semidirect
10. #62014C2semidirect
11. #61989C2semidirect
12. #61988C2semidirect
13. #61975C2semidirect
14. #61961C2semidirect
15. #61402C2semidirect
16. C2×#3399C2semidirect
17. #61324C2semidirect
18. #61316C2semidirect
19. #61218C2semidirect
20. #61213C2semidirect
21. #61208C2semidirect
22. #61205C2semidirect
23. #61095C2semidirect
24. #61093C2semidirect
25. #61089C2semidirect
26. #61082C2semidirect
27. #60924C2semidirect
28. #60922C2semidirect
29. #60825C2semidirect
30. #60817C2semidirect
31. #60574C2semidirect
32. #60571C2semidirect
33. #60430C2semidirect
34. #60428C2semidirect
35. #60275C2semidirect
36. C2×#577C22semidirect
37. C2×#576C22semidirect
38. C2×#576C22semidirect
40. #3562C22semidirect
43. #3558C22semidirect
45. #3554C22semidirect
47. #3543C22semidirect
52. #3519C22semidirect
53. #3519C22semidirect
54. #3517C22semidirect
55. #3517C22semidirect
57. #3514C22semidirect
61. #3508C22semidirect
62. #3508C22semidirect
63. #3508C22semidirect
66. #3506C22semidirect
67. #3506C22semidirect
68. #3500C22semidirect
69. #3500C22semidirect
70. #3498C22semidirect
71. #3498C22semidirect
72. #3498C22semidirect
73. #3498C22semidirect
74. #3497C22semidirect
75. #3496C22semidirect
76. #3483C22semidirect
79. #3480C22semidirect
80. C2×#559C22semidirect
81. Q8×#41C22semidirect
83. D4×#41C22semidirect
85. C2×#550C22semidirect
86. #3461C22semidirect
87. #3460C22semidirect
88. C4×H(5,𝔽2)C22semidirect
89. C4×H(5,𝔽2)C22semidirect
90. #3399C22semidirect
91. #3399C22semidirect
92. #3399C22semidirect
93. #3399C22semidirect
94. #3399C22semidirect
95. #3399C22semidirect
96. #3399C22semidirect
97. #3399C22semidirect
98. #3397C22semidirect
99. #3397C22semidirect
100. #3392C22semidirect
101. #3391C22semidirect
102. #3377C22semidirect
103. #3376C22semidirect
104. #3375C22semidirect
105. #3375C22semidirect
106. #3374C22semidirect
107. #3373C22semidirect
108. #3373C22semidirect
109. #3372C22semidirect
110. #3371C22semidirect
111. #3371C22semidirect
112. #3370C22semidirect
113. #3370C22semidirect
114. #3369C22semidirect
115. #3368C22semidirect
116. #3367C22semidirect
117. #3366C22semidirect
118. #3365C22semidirect
119. #3361C22semidirect
120. #3332C22semidirect
121. #3332C22semidirect
122. #3329C22semidirect
123. #3326C22semidirect
124. #3326C22semidirect
125. #3325C22semidirect
126. #3322C22semidirect
127. #3321C22semidirect
128. #3319C22semidirect
129. #3319C22semidirect
130. #3319C22semidirect
131. #3318C22semidirect
132. #3318C22semidirect
133. #3318C22semidirect
134. #3309C22semidirect
135. #3308C22semidirect
136. #3307C22semidirect
137. #3307C22semidirect
138. #3306C22semidirect
139. #3306C22semidirect
140. #3306C22semidirect
141. #3305C22semidirect
142. #3305C22semidirect
143. #3301C22semidirect
144. #3301C22semidirect
145. #3298C22semidirect
146. #3297C22semidirect
147. #3294C22semidirect
148. #3287C22semidirect
149. #3287C22semidirect
150. #3287C22semidirect
151. #3284C22semidirect
152. D4×SD16C22semidirect
153. D4×D8C22semidirect
154. D4×D8C22semidirect
155. D4×D8C22semidirect
156. #3278C22semidirect
157. #3274C22semidirect
158. #3274C22semidirect
159. #3274C22semidirect
160. #3274C22semidirect
161. #3274C22semidirect
162. #3274C22semidirect
163. #3272C22semidirect
164. #3271C22semidirect
165. #3271C22semidirect
166. #3271C22semidirect
167. #3268C22semidirect
168. #3268C22semidirect
169. #3268C22semidirect
170. #3268C22semidirect
171. #3265C22semidirect
172. #3265C22semidirect
173. #3265C22semidirect
174. #3264C22semidirect
175. #3264C22semidirect
176. #3264C22semidirect
177. #3264C22semidirect
178. #3260C22semidirect
179. #3259C22semidirect
180. #3259C22semidirect
181. #3257C22semidirect
182. #3257C22semidirect
183. #3257C22semidirect
184. #3254C22semidirect
185. #3253C22semidirect
186. #3251C22semidirect
187. #3251C22semidirect
188. #3247C22semidirect
189. #3247C22semidirect
190. #3246C22semidirect
191. #3245C22semidirect
192. #3221C22semidirect
193. #3221C22semidirect
194. #3220C22semidirect
195. #3220C22semidirect
196. #3220C22semidirect
197. #3220C22semidirect
198. #3214C22semidirect
199. #3214C22semidirect
200. #3213C22semidirect
201. #3213C22semidirect
202. #3207C22semidirect
203. #3207C22semidirect
204. #3205C22semidirect
205. #3205C22semidirect
206. #3151C22semidirect
207. #3151C22semidirect
208. C2×#496C22semidirect
209. C2×#493C22semidirect
210. #3140C22semidirect
211. #3138C22semidirect
212. #3135C22semidirect
213. #3131C22semidirect
214. #3125C22semidirect
215. #3125C22semidirect
216. #3123C22semidirect
217. #3122C22semidirect
218. #3120C22semidirect
219. #3119C22semidirect
220. #3118C22semidirect
221. #3118C22semidirect
222. #3115C22semidirect
223. #3114C22semidirect
224. #3111C22semidirect
225. #3109C22semidirect
226. #3107C22semidirect
227. #3105C22semidirect
228. #3102C22semidirect
229. #3101C22semidirect
230. #3099C22semidirect
231. #3099C22semidirect
232. #3097C22semidirect
233. #3096C22semidirect
234. #3084C22semidirect
235. #3081C22semidirect
236. #3081C22semidirect
237. #3078C22semidirect
238. #3077C22semidirect
239. #3076C22semidirect
240. #3076C22semidirect
241. #3062C22semidirect
242. #3062C22semidirect
243. #3062C22semidirect
244. #3058C22semidirect
245. #3058C22semidirect
246. #3057C22semidirect
247. #3046C22semidirect
248. #3046C22semidirect
249. #3045C22semidirect
250. #3045C22semidirect
251. #3045C22semidirect
252. #3042C22semidirect
253. #3042C22semidirect
254. #3042C22semidirect
255. #3041C22semidirect
256. #3041C22semidirect
257. #3041C22semidirect
258. #3041C22semidirect
259. #3041C22semidirect
260. #3040C22semidirect
261. #3040C22semidirect
263. #3038C22semidirect
264. #3038C22semidirect
265. #3038C22semidirect
266. #3036C22semidirect
267. #3036C22semidirect
268. #3036C22semidirect
269. #3036C22semidirect
270. #3035C22semidirect
271. #3035C22semidirect
272. #3035C22semidirect
273. #3035C22semidirect
274. C2×#460C22semidirect
275. C2×#463C22semidirect
276. C2×#463C22semidirect
277. C2×#459C22semidirect
278. C2×#459C22semidirect
279. C2×#459C22semidirect
281. #3012C22semidirect
282. #3010C22semidirect
283. #3010C22semidirect
284. #3009C22semidirect
285. #3008C22semidirect
286. #3008C22semidirect
287. #3008C22semidirect
288. #3008C22semidirect
289. #3008C22semidirect
290. #2995C22semidirect
291. #2994C22semidirect
292. #2993C22semidirect
293. #2992C22semidirect
294. #2990C22semidirect
295. #2989C22semidirect
296. Q8×M16C22semidirect
297. C2×#446C22semidirect
298. C4×#137C22semidirect
299. C4×AGL(1,ℤ/8)C22semidirect
300. C4×AGL(1,ℤ/8)C22semidirect
301. C4×AGL(1,ℤ/8)C22semidirect
302. #2943C22semidirect
303. C2×#442C22semidirect
304. C4×#135C22semidirect
305. C2×C4×SD16C22semidirect
306. #2935C22semidirect
307. #2935C22semidirect
308. #2932C22semidirect
309. #2931C22semidirect
310. #2923C22semidirect
311. #2922C22semidirect
312. #2906C22semidirect
313. #2906C22semidirect
314. #2898C22semidirect
315. #2897C22semidirect
316. #2897C22semidirect

Maximal subgroups

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

subgroupindex
#629862
#629612
#620932
#620752
#620732
#620512
#620392
#620372
#620152
#620142
#619892
#619882
#619752
#619612
#614022
C2×#33992
#613242
#613162
#612182
#612132
#612082
#612052
#610952
#610932
#610892
#610822
#609242
#609222
#608252
#608172
#605742
#605712
#604302
#604282
#602752