Finite Group Databasebeta

← #10579155

Subgroups — #10579155

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#63010C211yesmaximal, characteristic, complemented
2#62916C211yesmaximal, characteristic, complemented
3#62083C214yesmaximal, complemented
4#62081C214yesmaximal, complemented
5#62067C212yesmaximal, complemented
6#62057C212yesmaximal, complemented
7#62045C212yesmaximal, complemented
8#62031C212yesmaximal, complemented
9#62026C214yesmaximal, complemented
10#62007C214yesmaximal, complemented
11#61994C212yesmaximal, complemented
12#61979C212yesmaximal, complemented
13#61974C212yesmaximal, complemented
14#61963C212yesmaximal, complemented
15#61405C211yesmaximal, characteristic, complemented
16C2×#3399C211yesmaximal, characteristic, complemented
17#61321C211yesmaximal, characteristic, complemented
18#61316C211yesmaximal, characteristic, complemented
19#61218C212yesmaximal, complemented
20#61212C211yesmaximal, characteristic, complemented
21#61206C211yesmaximal, characteristic, complemented
22#61205C212yesmaximal, complemented
23#61093C211yesmaximal, characteristic, complemented
24#61092C212yesmaximal, complemented
25#61089C211yesmaximal, characteristic, complemented
26#61082C212yesmaximal, complemented
27#60926C212yesmaximal, complemented
28#60922C211yesmaximal, characteristic, complemented
29#60827C212yesmaximal, complemented
30#60817C211yesmaximal, characteristic, complemented
31#60574C212yesmaximal, complemented
32#60572C211yesmaximal, characteristic, complemented
33#60431C211yesmaximal, characteristic, complemented
34#60428C212yesmaximal, complemented
35#60275C211yesmaximal, characteristic, complemented
36C2×#577C2212yescomplemented
37C2×#576C2212yescomplemented
38C2×#576C2212yescomplemented
39#3546—21no—
40#3546—22no—
41#3546C2214yescomplemented
42#3546C2212yescomplemented
43#3543—21no—
44#3543—22no—
45#3543C2214yescomplemented
46#3543C2212yescomplemented
47#3537—22no—
48#3537—24no—
49#3524C2214yescomplemented
50#3522C2212yescomplemented
51#3517—21no—
52#3517C2212yescomplemented
53#3514—22no—
54#3514C2212yescomplemented
55#3513—24no—
56#3513C2214yescomplemented
57#3510—22no—
58#3510C2212yescomplemented
59#3508—21no—
60#3508C2211yescharacteristic, complemented
61#3507—21no—
62#3507C2211yescharacteristic, complemented
63#3506—22no—
64#3506C2212yescomplemented
65#3500C2212yescomplemented
66#3498—21no—
67#3498C2211yescharacteristic
68#3498C2212yescomplemented
69#3498C2211yescharacteristic, complemented
70#3498C2212yescomplemented
71#3498C2212yescomplemented
72#3498C2211yescharacteristic, complemented
73#3496C2211yescharacteristic
74#3496C2212yescomplemented
75#3488—22no—
76#3481—22no—
77#3481C2212yescomplemented
78#3480—21no—
79#3480C2211yescharacteristic
80#3480C2211yescharacteristic, complemented
81#3480C2212yescomplemented
82C2×#559—21no—
83C2×#559C2211yescharacteristic, complemented
84Q8×#41C2211yescharacteristic, complemented
85C2×#550C2211yescharacteristic, complemented
86#3460C2211yescharacteristic, complemented
87#3460C2212yescomplemented
88C4×2−1+4C2211yescharacteristic, complemented
89C4×H(5,𝔽2)C2212yescomplemented
90#3403C2214yescomplemented
91#3401C2214yescomplemented
92#3400C2212yescomplemented
93#3399C2212yescomplemented
94#3399C2212yescomplemented
95#3399C2212yescomplemented
96#3399C2214yescomplemented
97#3399C2212yescomplemented
98#3399C2212yescomplemented
99#3399C2214yescomplemented
100#3396C2212yescomplemented
101#3394C2212yescomplemented
102#3377C2212yescomplemented
103#3376C2212yescomplemented
104#3375C2211yescharacteristic, complemented
105#3374C2211yescharacteristic, complemented
106#3373C2211yescharacteristic, complemented
107#3372C2211yescharacteristic, complemented
108#3371C2212yescomplemented
109#3370C2212yescomplemented
110#3369C2211yescharacteristic, complemented
111#3368C2211yescharacteristic, complemented
112#3368C2212yescomplemented
113#3368C2214yescomplemented
114#3367C2211yescharacteristic, complemented
115#3366C2212yescomplemented
116#3366C2211yescharacteristic, complemented
117#3366C2214yescomplemented
118#3362C2212yescomplemented
119#3358C2212yescomplemented
120#3333C2212yescomplemented
121#3332C2214yescomplemented
122#3331C2212yescomplemented
123#3325C2214yescomplemented
124#3324C2212yescomplemented
125#3324C2212yescomplemented
126#3323C2214yescomplemented
127#3319C2214yescomplemented
128#3319C2214yescomplemented
129#3318C2214yescomplemented
130#3318C2214yescomplemented
131#3318C2214yescomplemented
132#3318C2214yescomplemented
133#3317C2214yescomplemented
134#3310C2214yescomplemented
135#3309C2214yescomplemented
136#3309C2214yescomplemented
137#3307C2214yescomplemented
138#3307C2214yescomplemented
139#3306C2214yescomplemented
140#3306C2214yescomplemented
141#3305C2214yescomplemented
142#3304C2212yescomplemented
143#3302C2212yescomplemented
144#3296C2214yescomplemented
145#3295C2212yescomplemented
146#3295C2212yescomplemented
147#3294C2214yescomplemented
148#3287C2212yescomplemented
149#3287C2212yescomplemented
150#3284C2212yescomplemented
151#3282C2214yescomplemented
152#3280C2214yescomplemented
153D4×D8C2212yescomplemented
154D4×D8C2212yescomplemented
155D4×D8C2212yescomplemented
156#3275C2214yescomplemented
157#3274C2212yescomplemented
158#3274C2212yescomplemented
159#3274C2212yescomplemented
160#3274C2212yescomplemented
161#3274C2212yescomplemented
162#3273C2214yescomplemented
163#3272C2212yescomplemented
164#3271C2214yescomplemented
165#3271C2214yescomplemented
166#3269C2214yescomplemented
167#3268C2214yescomplemented
168#3268C2214yescomplemented
169#3268C2214yescomplemented
170#3267C2214yescomplemented
171#3265C2214yescomplemented
172#3265C2214yescomplemented
173#3265C2214yescomplemented
174#3264C2214yescomplemented
175#3264C2214yescomplemented
176#3264C2214yescomplemented
177#3264C2214yescomplemented
178#3263C2214yescomplemented
179#3262C2214yescomplemented
180#3259C2214yescomplemented
181#3257C2214yescomplemented
182#3257C2214yescomplemented
183#3257C2214yescomplemented
184#3256C2214yescomplemented
185#3253C2212yescomplemented
186#3251C2214yescomplemented
187#3251C2212yescomplemented
188#3250C2214yescomplemented
189#3247C2212yescomplemented
190#3247C2214yescomplemented
191#3245C2212yescomplemented
192#3224C2214yescomplemented
193#3224C2214yescomplemented
194#3224C2214yescomplemented
195#3224C2214yescomplemented
196#3220C2214yescomplemented
197#3220C2214yescomplemented
198#3219C2214yescomplemented
199#3219C2214yescomplemented
200#3217C2214yescomplemented
201#3217C2214yescomplemented
202#3207C2212yescomplemented
203#3207C2212yescomplemented
204#3205C2212yescomplemented
205#3205C2212yescomplemented
206#3153C2212yescomplemented
207#3151C2211yescharacteristic, complemented
208C2×#496C2212yescomplemented
209C2×#493C2211yescharacteristic, complemented
210#3138C2212yescomplemented
211#3138C2211yescharacteristic, complemented
212#3135C2212yescomplemented
213#3131C2211yescharacteristic, complemented
214#3126C2212yescomplemented
215#3125C2214yescomplemented
216#3125C2212yescomplemented
217#3122C2214yescomplemented
218#3121C2212yescomplemented
219#3119C2212yescomplemented
220#3119C2214yescomplemented
221#3118C2214yescomplemented
222#3115C2214yescomplemented
223#3114C2214yescomplemented
224#3111C2214yescomplemented
225#3109C2214yescomplemented
226#3108C2212yescomplemented
227#3106C2212yescomplemented
228#3103C2212yescomplemented
229#3102C2212yescomplemented
230#3099C2212yescomplemented
231#3099C2211yescharacteristic, complemented
232#3096C2211yescharacteristic, complemented
233#3096C2212yescomplemented
234#3084C2211yescharacteristic, complemented
235#3082C2211yescharacteristic, complemented
236#3081C2212yescomplemented
237#3077C2211yescharacteristic, complemented
238#3077C2212yescomplemented
239#3076C2212yescomplemented
240#3076C2211yescharacteristic, complemented
241#3063C2212yescomplemented
242#3062C2212yescomplemented
243#3062C2212yescomplemented
244#3058C2212yescomplemented
245#3058C2212yescomplemented
246#3057C2212yescomplemented
247#3045C2211yescharacteristic, complemented
248#3045C2212yescomplemented
249#3045C2214yescomplemented
250#3045C2214yescomplemented
251#3045C2214yescomplemented
252#3043C2214yescomplemented
253#3043C2212yescomplemented
254#3043C2211yescharacteristic, complemented
255#3041C2214yescomplemented
256#3041C2214yescomplemented
257#3041C2212yescomplemented
258#3041C2212yescomplemented
259#3041C2212yescomplemented
260#3040C2212yescomplemented
261#3038C2214yescomplemented
262#3038C2212yescomplemented
263#3038C2212yescomplemented
264#3038C2211yescharacteristic, complemented
265#3038C2211yescharacteristic, complemented
266#3037C2211yescharacteristic, complemented
267#3037C2212yescomplemented
268#3036C2214yescomplemented
269#3036C2212yescomplemented
270#3035C2214yescomplemented
271#3035C2212yescomplemented
272#3035C2212yescomplemented
273#3035C2211yescharacteristic, complemented
274C2×#460C2212yescomplemented
275C2×#460C2211yescharacteristic, complemented
276C2×#463C2212yescomplemented
277C2×#459C2212yescomplemented
278C2×#459C2214yescomplemented
279C2×#459C2211yescharacteristic, complemented
280#3013C2211yescharacteristic, complemented
281#3012C2212yescomplemented
282#3010C2211yescharacteristic, complemented
283#3009C2212yescomplemented
284#3009C2212yescomplemented
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)C2212yescomplemented
300C4×AGL(1,ℤ/8)C2211yescharacteristic, complemented
301C4×AGL(1,ℤ/8)C2212yescomplemented
302#2943C2212yescomplemented
303C2×#442C2212yescomplemented
304C4×#135C2211yescharacteristic, complemented
305C2×C4×SD16C2211yescharacteristic, complemented
306#2935C2212yescomplemented
307#2935C2211yescharacteristic, complemented
308#2932C2212yescomplemented
309#2931C2211yescharacteristic, complemented
310#2923C2212yescomplemented
311#2922C2211yescharacteristic, complemented
312#2906C2212yescomplemented
313#2906C2211yescharacteristic, complemented
314#2897C2212yescomplemented
315#2897C2212yescomplemented
316#2897C2212yescomplemented
317C2×2−1+4C2311yescharacteristic
318C2×H(5,𝔽2)—22no—
319C2×H(5,𝔽2)C2312yes—
320C2×H(5,𝔽2)C2312yes—
321C2×H(5,𝔽2)C2312yes—
322C2×H(5,𝔽2)C2312yes—
323C22×#41—21no—
324#577—48no—
325#576—48no—
326#576—48no—
327C2×#137C2311yescharacteristic
328C2×#137C2312yes—
329C2×#137C2314yes—
330C2×AGL(1,ℤ/8)C2312yes—
331C2×AGL(1,ℤ/8)C2311yescharacteristic
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#560—24no—
357#560—24no—
358#560—24no—
359#560—24no—
360#560—24no—
361#560—24no—
362#559—21no—
363#559—22no—
364#559—22no—
365#559—22no—
366#559—24no—
367#559—21no—
368#559—21no—
369#559—22no—
370#559—21no—
371#559—21no—
372#559—22no—
373#559—22no—
374#559—22no—
375#559D411yescharacteristic
376#559D412yes—
377#559C2312yes—
378#559C2311yescharacteristic
379#559C2312yes—
380#559C2312yes—
381#559C2314yes—
382Q82C2311yescharacteristic
383#557—21no—
384#557D411yescharacteristic
385#557C2311yescharacteristic
386#557C2311yescharacteristic
387#557C2312yes—
388#556—22no—
389#556—22no—
390#556—22no—
391#556—22no—
392#556—22no—
393#556D411yescharacteristic
394#556D412yes—
395#556C2311yescharacteristic
396#556C2312yes—
397#556C2312yes—
398#555—24no—
399#555C2314yes—
400#554—22no—
401#554—21no—
402#554—22no—
403#554C2311yescharacteristic
404#554C2312yes—
405#554C2312yes—
406#553—24no—
407#553—22no—
408#553—24no—
409#553—24no—
410#553—24no—
411#553—22no—
412#553—22no—
413#553—24no—
414#553—21no—
415#553—22no—
416#553D412yes—
417#553D414yes—
418#553C2314yes—
419#553C2314yes—
420#552—24no—
421#552C2314yes—
422#551—24no—
423#551—24no—
424#551—24no—
425#551—24no—
426#551—24no—
427#551—24no—
428#550—22no—
429#550—22no—
430#550—21no—
431#550—21no—
432#550—22no—
433#550—22no—
434#550—21no—
435#550—22no—
436#550—22no—
437#550—21no—
438#550—21no—
439#550—21no—
440#550D411yescharacteristic
441#550C2314yes—
442#550C2312yes—
443#550C2312yes—
444#550C2312yes—
445#550C2314yes—
446#550C2312yes—
447#550C2312yes—
448#550C2312yes—
449#550C2314yes—
450#550C2311yescharacteristic
451D4×Q8—21no—
452D4×Q8C2311yescharacteristic
453#548—21no—
454#548—22no—
455#548D412yes—
456#548C2314yes—
457#548C2314yes—
458#547—21no—
459#547—22no—
460#547—24no—
461#547C2312yes—
462#547C2314yes—
463#547C2314yes—
464#546—22no—
465#546—22no—
466#546—24no—
467#546—22no—
468#546—22no—
469#546—22no—
470#546—22no—
471#546—24no—
472#546—24no—
473#546—22no—
474#546—24no—
475#546—24no—
476#546—22no—
477#546—22no—
478#546C2314yes—
479#546C2314yes—
480#546C2314yes—
481#546C2314yes—
482#546C2314yes—
483D42—21no—
484D42—22no—
485D42—22no—
486D42—22no—
487D42—24no—
488D42—22no—
489D42—24no—
490D42—22no—
491D42—22no—
492D42—24no—
493D42—22no—
494D42—24no—
495D42—21no—
496D42—22no—
497D42—24no—
498D42—22no—
499D42—22no—
500D42—24no—
501D42—22no—
502D42—21no—
503D42C2312yes—
504D42C2312yes—
505D42C2314yes—
506D42C2312yes—
507D42C2312yes—
508D42C2314yes—
509D42C2312yes—
510D42C2314yes—
511#544C2311yescharacteristic
512#542—24no—
513#542—24no—
514#542—22no—
515#542—21no—
516#542C2314yes—
517#542C2312yes—
518#542C2314yes—
519#542C2314yes—
520#540—22no—
521#540—24no—
522#540—24no—
523#540—22no—
524#540—21no—
525#540—22no—
526#540—24no—
527#540C2314yes—
528#540C2312yes—
529#540C2314yes—
530#539—24no—
531#539—22no—
532#538—24no—
533#538—24no—
534#538—24no—
535#538—24no—
536#538—24no—
537#538—24no—
538#538—24no—
539#538—22no—
540#537—22no—
541#537—24no—
542#537C2312yes—
543#537C2311yescharacteristic
544#536—22no—
545#536C2312yes—
546#535—22no—
547#535—22no—
548#535—24no—
549#535—22no—
550#535—22no—
551#535—22no—
552#535—22no—
553#535—22no—
554#535—24no—
555#535—22no—
556#535—24no—
557#535C2311yescharacteristic
558#535C2312yes—
559#535C2314yes—
560#535C2314yes—
561#535C2314yes—
562#535C2312yes—
563#535C2311yescharacteristic
564#535C2312yes—
565#535C2312yes—
566#534—24no—
567#534—24no—
568#534—24no—
569#534—22no—
570#534—24no—
571#533—22no—
572#533—21no—
573#533C2311yescharacteristic
574#533C2312yes—
575#532—22no—
576#532—21no—
577#532—21no—
578#532—22no—
579#532—22no—
580#532—22no—
581#532—21no—
582#532—22no—
583#532C2311yescharacteristic
584#532C2312yes—
585#532C2312yes—
586#532C2314yes—
587#532C2312yes—
588#532C2314yes—
589#532C2312yes—
590#532C2312yes—
591#532C2311yescharacteristic
592#532C2312yes—
593C2×#127—21no—
594C2×#127—21no—
595C2×#127—22no—
596C2×#127C2311yescharacteristic
597C2×#127C2312yes—
598C2×#127C2311yescharacteristic
599C2×#127C2312yes—
600C2×#127C2314yes—
601#529—24no—
602#529—24no—
603#529—22no—
604#529—22no—
605#529—22no—
606#529—21no—
607#529—22no—
608#529—21no—
609#529—22no—
610#529—22no—
611#529—24no—
612#529C2312yes—
613#529C2314yes—
614#529C2314yes—
615#529C2314yes—
616#529C2314yes—
617#529C2312yes—
618C2×#124—21no—
619C2×#124—22no—
620C2×#124—22no—
621C2×#124C2312yes—
622#525—24no—
623#525—24no—
624#525—22no—
625#525—24no—
626#525—24no—
627C2×#123—24no—
628C2×#123—22no—
629C2×#121—22no—
630C2×#121—24no—
631C2×#121—21no—
632C2×#121—22no—
633#520—22no—
634#520—22no—
635#520—21no—
636#520—22no—
637#520C2311yescharacteristic
638#520C2314yes—
639#520C2312yes—
640#520C2312yes—
641#520C2311yescharacteristic
642#519—21no—
643#519C2311yescharacteristic
644#519C2312yes—
645#518—22no—
646#518—24no—
647#518C2312yes—
648#518C2314yes—
649C4×#41—22no—
650C4×#41—21no—
651C4×#41—21no—
652C4×#41—22no—
653C4×#41—22no—
654C4×#41C2311yescharacteristic
655C4×#41C2312yes—
656C4×#41C2312yes—
657C4×#41C2314yes—
658C4×#41C2312yes—
659C4×#41C2311yescharacteristic
660C4×#41C2312yes—
661C4×#41C2312yes—
662C4×#41C2311yescharacteristic
663C2×C4×Q8—21no—
664C2×C4×Q8—21no—
665C2×C4×Q8C2312yes—
666C2×C4×Q8C2311yescharacteristic
667C2×C4×Q8C2311yescharacteristic
668C2×C4×D4—22no—
669C2×C4×D4—24no—
670C2×C4×D4—22no—
671C2×C4×D4—21no—
672C2×C4×D4C2311yescharacteristic
673C2×C4×D4C2312yes—
674C2×C4×D4C2314yes—
675C2×C4×D4C2312yes—
676#497C2314yes—
677#496C2314yes—
678#496C2314yes—
679#496C2314yes—
680#496C2314yes—
681#496C2314yes—
682#496C2314yes—
683#495C2314yes—
684#495C2314yes—
685#493C2312yes—
686#493C2312yes—
687#493C2312yes—
688#493C2312yes—
689#493C2312yes—
690#492C2312yes—
691#491C2312yes—
692#491C2312yes—
693#490C2314yes—
694#490C2314yes—
695#490C2314yes—
696#490C2312yes—
697#490C2312yes—
698#489C2312yes—
699#489C2312yes—
700#489C2312yes—
701#489C2312yes—
702#488C2312yes—
703#488C2312yes—
704#487C2311yescharacteristic
705#487C2311yescharacteristic
706#486C2314yes—
707#486C2312yes—
708#486C2312yes—
709#486C2314yes—
710#486C2311yescharacteristic
711#486C2311yescharacteristic
712#485C2312yes—
713#485C2314yes—
714#483C2314yes—
715#483C2312yes—
716#482C2312yes—
717#482C2312yes—
718#482C2314yes—
719#482C2314yes—
720#482C2312yes—
721#482C2314yes—
722#481C2312yes—
723#481C2314yes—
724#481C2312yes—
725#481C2314yes—
726#480C2314yes—
727#480C2312yes—
728#479C2312yes—
729#479C2312yes—
730#479C2312yes—
731#479C2312yes—
732#479C2312yes—
733#479C2312yes—
734#478C2312yes—
735#478C2312yes—
736#478C2312yes—
737#478C2314yes—
738#478C2314yes—
739#478C2314yes—
740#478C2314yes—
741#478C2314yes—
742#478C2312yes—
743#477C2311yescharacteristic
744#477C2312yes—
745#477C2312yes—
746#476C2312yes—
747#476C2311yescharacteristic
748#476C2312yes—
749#476C2314yes—
750#476C2314yes—
751#476C2312yes—
752#475C2312yes—
753#475C2311yescharacteristic
754#475C2312yes—
755#475C2312yes—
756#474C2311yescharacteristic
757#474C2312yes—
758#474C2312yes—
759#474C2314yes—
760#474C2314yes—
761#470C2314yes—
762#469C2314yes—
763#469C2314yes—
764#469C2314yes—
765#469C2314yes—
766#469C2314yes—
767#469C2314yes—
768#468C2314yes—
769#468C2314yes—
770#468C2314yes—
771#468C2314yes—
772#468C2314yes—
773#467C2314yes—
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#464C2312yes—
787#464C2312yes—
788#464C2314yes—
789#464C2312yes—
790#464C2312yes—
791#464C2312yes—
792#464C2314yes—
793#464C2314yes—
794#464C2314yes—
795#464C2314yes—
796#464C2314yes—
797#463C2312yes—
798#463C2314yes—
799#463C2312yes—
800#463C2314yes—
801#463C2314yes—
802#463C2312yes—
803#463C2312yes—
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#461C2311yescharacteristic
820#461C2312yes—
821#461C2314yes—
822#460C2312yes—
823#460C2312yes—
824#460C2312yes—
825#460C2312yes—
826#460C2314yes—
827#460C2312yes—
828#460C2314yes—
829#460C2312yes—
830#460C2312yes—
831#460C2311yescharacteristic
832#460C2314yes—
833#460C2312yes—
834#460C2312yes—
835#460C2312yes—
836#460C2314yes—
837#460C2312yes—
838#460C2314yes—
839#460C2314yes—
840#459C2314yes—
841#459C2314yes—
842#459C2312yes—
843#459C2312yes—
844#459C2314yes—
845#459C2314yes—
846#459C2314yes—
847#459C2312yes—
848#459C2312yes—
849#459C2311yescharacteristic
850#459C2314yes—
851#459C2312yes—
852#459C2312yes—
853#459C2312yes—
854#459C2314yes—
855#459C2314yes—
856#459C2314yes—
857#459C2314yes—
858#459C2314yes—
859#459C2312yes—
860#459C2314yes—
861#459C2314yes—
862#459C2314yes—
863#459C2314yes—
864#452C2314yes—
865#452C2314yes—
866#452C2312yes—
867#452C2314yes—
868#452C2314yes—
869#452C2314yes—
870#451C2312yes—
871#450C2314yes—
872#450C2314yes—
873#450C2314yes—
874#450C2314yes—
875#450C2314yes—
876#449C2314yes—
877#449C2314yes—
878#449C2312yes—
879#449C2312yes—
880#449C2312yes—
881#449C2314yes—
882#449C2314yes—
883#449C2314yes—
884#449C2314yes—
885#449C2314yes—
886#449C2314yes—
887#449C2314yes—
888#449C2314yes—
889#449C2314yes—
890#448C2312yes—
891#448C2312yes—
892#448C2312yes—
893#447C2314yes—
894#447C2314yes—
895#447C2314yes—
896#447C2314yes—
897#447C2314yes—
898#447C2314yes—
899#447C2314yes—
900#447C2314yes—
901#447C2314yes—
902#447C2314yes—
903#447C2314yes—
904#446C2312yes—
905#446C2314yes—
906#446C2311yescharacteristic
907#446C2311yescharacteristic
908#446C2311yescharacteristic
909#446C2311yescharacteristic
910#446C2312yes—
911#446C2312yes—
912C8×Q8C2312yes—
913#442C2312yes—
914#442C2314yes—
915#442C2314yes—
916#442C2314yes—
917#442C2312yes—
918#442C2314yes—
919#442C2312yes—
920#442C2314yes—
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×SD16C2314yes—
938C4×SD16C2311yescharacteristic
939C4×SD16C2311yescharacteristic
940C4×SD16C2312yes—
941C4×SD16C2312yes—
942C4×SD16C2312yes—
943C4×SD16C2314yes—
944C4×SD16C2311yescharacteristic
945C4×SD16C2312yes—
946C4×SD16C2311yescharacteristic
947C4×SD16C2312yes—
948C4×D8C2312yes—
949C4×D8C2314yes—
950C4×D8C2311yescharacteristic
951C4×D8C2311yescharacteristic
952C4×D8C2314yes—
953#436C2312yes—
954#436C2314yes—
955#436C2312yes—
956#436C2312yes—
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#428C2312yes—
977#428C2311yescharacteristic
978#428C2311yescharacteristic
979#427C2312yes—
980#427C2311yescharacteristic
981C2×#106C2311yescharacteristic
982#424C2312yes—
983#424C2311yescharacteristic
984#424C2311yescharacteristic
985#424C2314yes—
986#424C2314yes—
987#424C2314yes—
988#423C2311yescharacteristic
989#423C2312yes—
990#423C2314yes—
991#423C2312yes—
992C2×C4⋊C8C2312yes—
993C2×C4⋊C8C2311yescharacteristic
994C2×C4⋊C8C2312yes—
995C2×C4⋊C8C2314yes—
996#419C2311yescharacteristic
997#418C2312yes—
998#418C2312yes—
999#418C2312yes—
1000#418C2312yes—
1001#418C2311yescharacteristic
1002#418C2312yes—
1003#418C2314yes—
1004#418C2314yes—
1005#418C2314yes—
1006#417C2314yes—
1007#417C2314yes—
1008#417C2314yes—
1009#417C2311yescharacteristic
1010#417C2312yes—
1011#417C2311yescharacteristic
1012#416C2312yes—
1013#416C2312yes—
1014#416C2312yes—
1015#416C2311yescharacteristic
1016#416C2312yes—
1017#416C2311yescharacteristic
1018#416C2314yes—
1019#416C2314yes—
1020#416C2314yes—
1021C2×#103C2311yescharacteristic
1022C2×#102C2312yes—
1023C2×#102C2311yescharacteristic
1024C2×#102C2312yes—
1025C2×#102C2314yes—
1026C2×#102C2314yes—
1027C2×#102C2314yes—
1028#408C2311yescharacteristic
1029#408C2312yes—
1030#408C2311yescharacteristic
1031#408C2312yes—
1032C4×M16C2311yescharacteristic
1033C4×M16C2312yes—
1034C2×#97C2312yes—
1035C2×C4×C8C2311yescharacteristic
10362−1+4—24no—
10372−1+4—42no—
1038H(5,𝔽2)—28no—
1039H(5,𝔽2)—44no—
1040H(5,𝔽2)—44no—
1041H(5,𝔽2)—44no—
1042H(5,𝔽2)—44no—
1043H(5,𝔽2)—44no—
1044H(5,𝔽2)—44no—
1045H(5,𝔽2)—44no—
1046H(5,𝔽2)—88no—
1047C2×#41—22no—
1048C2×#41—21no—
1049C2×#41—22no—
1050C2×#41—22no—
1051C2×#41—22no—
1052C2×#41—22no—
1053C2×#41—22no—
1054C2×#41—24no—
1055C2×#41—21no—
1056C2×#41—22no—
1057C2×#41—24no—
1058C2×#41—22no—
1059C2×#41—22no—
1060C2×#41—24no—
1061C2×#41—22no—
1062C2×#41—84no—
1063C2×#41C2×D412yes—
1064C2×#41C2411yescharacteristic
1065C2×#41C2412yes—
1066C2×#41C2412yes—
1067C2×#41C2414yes—
1068C2×#41C2411yescharacteristic
1069C2×#41C2414yes—
1070C2×#41C2414yes—
1071C2×#41C2414yes—
1072C2×#41C2411yescharacteristic
1073C2×#41C2412yes—
1074C22×Q8—21no—
1075C22×Q8—21no—
1076C22×Q8C2×D411yescharacteristic
1077C22×Q8C2411yescharacteristic
1078C22×Q8C2412yes—
1079C22×D4—22no—
1080C22×D4—24no—
1081C22×D4—22no—
1082C22×D4—24no—
1083C22×D4—24no—
1084C22×D4—24no—
1085C22×D4—22no—
1086C22×D4—24no—
1087C22×D4—22no—
1088C22×D4—22no—
1089C22×D4—22no—
1090C22×D4—22no—
1091C22×D4—24no—
1092C22×D4—22no—
1093C22×D4—24no—
1094C22×D4—22no—
1095C22×D4—21no—
1096C22×D4—21no—
1097C22×D4—22no—
1098C22×D4—22no—
1099C22×D4—24no—
1100C22×D4—22no—
1101C22×D4—21no—
1102C22×D4—21no—
1103C22×D4—22no—
1104C22×D4—24no—
1105C22×D4C2412yes—
1106C22×D4C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2414yes—
1109C22×D4C2414yes—
1110C22×D4C2414yes—
1111C22×D4C2414yes—
1112C23×C4—21no—
1113C23×C4—22no—
1114C23×C4—22no—
1115C23×C4—24no—
1116#137—42no—
1117#137—44no—
1118#137—48no—
1119AGL(1,ℤ/8)—24no—
1120AGL(1,ℤ/8)—28no—
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×Q16C2414yes—
1137C2×Q16C2412yes—
1138C2×SD16—42no—
1139C2×SD16—44no—
1140C2×SD16—48no—
1141C2×SD16C2412yes—
1142C2×SD16C2414yes—
1143C2×SD16C2412yes—
1144C2×SD16C2412yes—
1145C2×SD16C2411yescharacteristic
1146C2×SD16C2411yescharacteristic
1147C2×SD16C2414yes—
1148C2×SD16C2414yes—
1149C2×SD16C2414yes—
1150C2×SD16C2412yes—
1151C2×SD16C2412yes—
1152C2×SD16C2414yes—
1153C2×SD16C2414yes—
1154C2×SD16C2414yes—
1155C2×SD16C2412yes—
1156C2×D8—44no—
1157C2×D8—44no—
1158C2×D8—44no—
1159C2×D8—48no—
1160C2×D8—48no—
1161C2×D8C2411yescharacteristic
1162C2×D8C2412yes—
1163C2×D8C2412yes—
1164C2×D8C2414yes—
1165C2×D8C2414yes—
1166C2×D8C2414yes—
1167C2×D8C2414yes—
1168C2×D8C2414yes—
1169C2×D8C2414yes—
1170C2×D8C2414yes—
1171C2×D8C2414yes—
1172C2×D8C2414yes—
1173C2×D8C2414yes—
1174#131—44no—
1175#131—44no—
1176#131—44no—
1177C2×M16C2411yescharacteristic
1178C2×M16C2412yes—
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—22no—
1191C4⋊Q8—22no—
1192C4⋊Q8—21no—
1193C4⋊Q8—21no—
1194C4⋊Q8—22no—
1195C4⋊Q8C2×D411yescharacteristic
1196C4⋊Q8C2×D412yes—
1197C4⋊Q8C2412yes—
1198C4⋊Q8C2411yescharacteristic
1199C4⋊Q8C2412yes—
1200C4⋊Q8C2411yescharacteristic
1201C4⋊Q8C2411yescharacteristic
1202C4⋊Q8C2412yes—
1203C4⋊Q8C2412yes—
1204#127—22no—
1205#127—21no—
1206#127—22no—
1207#127—24no—
1208#127—22no—
1209#127—22no—
1210#127—22no—
1211#127—24no—
1212#127—22no—
1213#127—22no—
1214#127—21no—
1215#127—22no—
1216#127—21no—
1217#127—22no—
1218#127—21no—
1219#127—24no—
1220#127—22no—
1221#127—21no—
1222#127—22no—
1223#127—24no—
1224#127C2×D411yescharacteristic
1225#127C2×D412yes—
1226#127C2414yes—
1227#127C2412yes—
1228#127C2412yes—
1229#127C2411yescharacteristic
1230#127C2414yes—
1231#127C2412yes—
1232#127C2412yes—
1233#127C2414yes—
1234#127C2412yes—
1235#127C2412yes—
1236#126—22no—
1237#126—22no—
1238#126—22no—
1239#126—24no—
1240#126—24no—
1241#126—24no—
1242#126—24no—
1243#126—22no—
1244#126—24no—
1245#126—24no—
1246#126—24no—
1247#126—24no—
1248#126—24no—
1249#126—24no—
1250#126—22no—
1251#126C2×D414yes—
1252#126C2×D414yes—
1253#126C2×D414yes—
1254#125—21no—
1255#125—22no—
1256#125—22no—
1257#125—22no—
1258#125—24no—
1259#125—21no—
1260#125—22no—
1261#125—22no—
1262#125C2×D412yes—
1263#125C2×D414yes—
1264#125C2412yes—
1265#125C2412yes—
1266#125C2412yes—
1267#125C2412yes—
1268#124—22no—
1269#124—22no—
1270#124—22no—
1271#124—24no—
1272#124—21no—
1273#124—22no—
1274#124—21no—
1275#124—22no—
1276#124—22no—
1277#124—22no—
1278#124—22no—
1279#124—24no—
1280#124—24no—
1281#124—24no—
1282#124—24no—
1283#124—24no—
1284#124—24no—
1285#124—22no—
1286#124—24no—
1287#124—22no—
1288#124—22no—
1289#124—22no—
1290#124—24no—
1291#124—22no—
1292#124—22no—
1293#124C2×D412yes—
1294#124C2×D412yes—
1295#124C2×D414yes—
1296#124C2×D412yes—
1297#124C2×D412yes—
1298#124C2414yes—
1299#124C2414yes—
1300#124C2412yes—
1301#124C2414yes—
1302#124C2412yes—
1303#124C2412yes—
1304#124C2412yes—
1305#123—24no—
1306#123—24no—
1307#123—24no—
1308#123—22no—
1309#123—24no—
1310#123—24no—
1311#123—24no—
1312#123—24no—
1313#123—24no—
1314#123—24no—
1315#123—24no—
1316#123—24no—
1317#123—22no—
1318#123—24no—
1319#123—22no—
1320#123—22no—
1321#123—22no—
1322#123—22no—
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—24no—
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—21no—
1345C22⋊Q8—22no—
1346C22⋊Q8—21no—
1347C22⋊Q8—22no—
1348C22⋊Q8—22no—
1349C22⋊Q8—22no—
1350C22⋊Q8—21no—
1351C22⋊Q8—22no—
1352C22⋊Q8—21no—
1353C22⋊Q8—22no—
1354C22⋊Q8—22no—
1355C22⋊Q8—24no—
1356C22⋊Q8—22no—
1357C22⋊Q8—24no—
1358C22⋊Q8—24no—
1359C22⋊Q8—21no—
1360C22⋊Q8—24no—
1361C22⋊Q8—24no—
1362C22⋊Q8—24no—
1363C22⋊Q8—22no—
1364C22⋊Q8—22no—
1365C22⋊Q8—22no—
1366C22⋊Q8—24no—
1367C22⋊Q8C2×D412yes—
1368C22⋊Q8C2×D414yes—
1369C22⋊Q8C2414yes—
1370C22⋊Q8C2414yes—
1371C22⋊Q8C2414yes—
1372C22⋊Q8C2412yes—
1373#121—22no—
1374#121—24no—
1375#121—22no—
1376#121—24no—
1377#121—24no—
1378#121—24no—
1379#121—24no—
1380#121—24no—
1381#121—22no—
1382#121—21no—
1383#121—24no—
1384#121—21no—
1385#121—22no—
1386#121—22no—
1387#121—22no—
1388#121—21no—
1389#121—22no—
1390#121—24no—
1391#121—22no—
1392#121—22no—
1393#121—24no—
1394#121—22no—
1395#121—24no—
1396#121—24no—
1397#121—24no—
1398#121—24no—
1399#121—22no—
1400#121—22no—
1401#121—24no—
1402#121—24no—
1403#121—22no—
1404#121—24no—
1405#121—22no—
1406#121—21no—
1407#121—22no—
1408#121—21no—
1409#121—22no—
1410#121—22no—
1411#121—24no—
1412#121—21no—
1413#121—22no—
1414#121—22no—
1415#121—24no—
1416#121—22no—
1417#121—24no—
1418#121—24no—
1419#121—24no—
1420#121—24no—
1421#121—24no—
1422#121—24no—
1423#121—24no—
1424#121—24no—
1425#121—24no—
1426#121—24no—
1427#121—24no—
1428#121—22no—
1429#121—24no—
1430#121—24no—
1431#121—24no—
1432#121—24no—
1433#121—24no—
1434#121—24no—
1435#121—22no—
1436#121—24no—
1437#121—24no—
1438#121—24no—
1439#121—24no—
1440#121—24no—
1441#121—24no—
1442#121C2×D412yes—
1443#121C2×D414yes—
1444#121C2×D414yes—
1445#121C2×D412yes—
1446#121C2×D414yes—
1447#121C2×D412yes—
1448#121C2414yes—
1449#121C2412yes—
1450#121C2414yes—
1451#121C2414yes—
1452#121C2414yes—
1453#121C2414yes—
1454#121C2414yes—
1455#121C2412yes—
1456#121C2414yes—
1457#121C2412yes—
1458#120—24no—
1459#120—24no—
1460#120—22no—
1461#120—24no—
1462#120—24no—
1463#120—24no—
1464#120—24no—
1465#120—24no—
1466#120—24no—
1467#120—24no—
1468#120—24no—
1469#120—22no—
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—21no—
1488C4×Q8—21no—
1489C4×Q8—22no—
1490C4×Q8—21no—
1491C4×Q8—22no—
1492C4×Q8—21no—
1493C4×Q8—22no—
1494C4×Q8—22no—
1495C4×Q8—21no—
1496C4×Q8—22no—
1497C4×Q8—22no—
1498C4×Q8—21no—
1499C4×Q8—21no—
1500C4×Q8—22no—
1501C4×Q8—22no—
1502C4×Q8—21no—
1503C4×Q8—21no—
1504C4×Q8—22no—
1505C4×Q8C2×D411yescharacteristic
1506C4×Q8C2×D411yescharacteristic
1507C4×Q8C2×D411yescharacteristic
1508C4×Q8C2×D412yes—
1509C4×Q8C2×D412yes—
1510C4×Q8C2×D411yescharacteristic
1511C4×Q8C2×D412yes—
1512C4×Q8C2×D412yes—
1513C4×Q8C2411yescharacteristic
1514C4×Q8C2412yes—
1515C4×Q8C2412yes—
1516C4×Q8C2412yes—
1517C4×Q8C2412yes—
1518C4×Q8C2412yes—
1519C4×Q8C2412yes—
1520C4×Q8C2411yescharacteristic
1521C4×Q8C2412yes—
1522C4×Q8C2411yescharacteristic
1523C4×Q8C2412yes—
1524C4×Q8C2412yes—
1525C4×Q8C2411yescharacteristic
1526C4×Q8C2411yescharacteristic
1527C4×Q8C2411yescharacteristic
1528C4×Q8C2412yes—
1529C4×D4—24no—
1530C4×D4—22no—
1531C4×D4—22no—
1532C4×D4—22no—
1533C4×D4—21no—
1534C4×D4—22no—
1535C4×D4—24no—
1536C4×D4—24no—
1537C4×D4—21no—
1538C4×D4—22no—
1539C4×D4—24no—
1540C4×D4—22no—
1541C4×D4—22no—
1542C4×D4—21no—
1543C4×D4—21no—
1544C4×D4—22no—
1545C4×D4—22no—
1546C4×D4—21no—
1547C4×D4—22no—
1548C4×D4—24no—
1549C4×D4—24no—
1550C4×D4—22no—
1551C4×D4—24no—
1552C4×D4—22no—
1553C4×D4—24no—
1554C4×D4—22no—
1555C4×D4—24no—
1556C4×D4—22no—
1557C4×D4—22no—
1558C4×D4—21no—
1559C4×D4—22no—
1560C4×D4—22no—
1561C4×D4—24no—
1562C4×D4—22no—
1563C4×D4—24no—
1564C4×D4—22no—
1565C4×D4—22no—
1566C4×D4—24no—
1567C4×D4—24no—
1568C4×D4—24no—
1569C4×D4—22no—
1570C4×D4—22no—
1571C4×D4—24no—
1572C4×D4—24no—
1573C4×D4—24no—
1574C4×D4—24no—
1575C4×D4—22no—
1576C4×D4—22no—
1577C4×D4—24no—
1578C4×D4—22no—
1579C4×D4—21no—
1580C4×D4—22no—
1581C4×D4—22no—
1582C4×D4—21no—
1583C4×D4—21no—
1584C4×D4—22no—
1585C4×D4—22no—
1586C4×D4—24no—
1587C4×D4—22no—
1588C4×D4—24no—
1589C4×D4—22no—
1590C4×D4—21no—
1591C4×D4—22no—
1592C4×D4—24no—
1593C4×D4—22no—
1594C4×D4C2×D414yes—
1595C4×D4C2×D412yes—
1596C4×D4C2×D412yes—
1597C4×D4C2×D412yes—
1598C4×D4C2×D411yescharacteristic
1599C4×D4C2×D414yes—
1600C4×D4C2×D412yes—
1601C4×D4C2×D412yes—
1602C4×D4C2×D411yescharacteristic
1603C4×D4C2×D414yes—
1604C4×D4C2412yes—
1605C4×D4C2412yes—
1606C4×D4C2414yes—
1607C4×D4C2414yes—
1608C4×D4C2414yes—
1609C4×D4C2412yes—
1610C4×D4C2414yes—
1611C4×D4C2414yes—
1612C4×D4C2412yes—
1613C4×D4C2411yescharacteristic
1614C4×D4C2414yes—
1615C4×D4C2412yes—
1616C4×D4C2411yescharacteristic
1617C4×D4C2411yescharacteristic
1618C4×D4C2412yes—
1619C4×D4C2412yes—
1620C4×D4C2411yescharacteristic
1621C4×D4C2412yes—
1622C4×D4C2414yes—
1623C4×D4C2412yes—
1624C4×D4C2414yes—
1625#117—21no—
1626#117—24no—
1627#117—22no—
1628#117—21no—
1629#117—22no—
1630#117—24no—
1631#117—22no—
1632#117—22no—
1633#117—22no—
1634#117—24no—
1635#117—24no—
1636#117—22no—
1637#117—24no—
1638#117—21no—
1639#117—22no—
1640#117—22no—
1641#117—21no—
1642#117—22no—
1643#117—24no—
1644#117—24no—
1645#117C2×D412yes—
1646#117C2×D414yes—
1647#117C2411yescharacteristic
1648#117C2412yes—
1649#117C2414yes—
1650#117C2411yescharacteristic
1651#117C2412yes—
1652#117C2411yescharacteristic
1653#117C2414yes—
1654#117C2412yes—
1655C2×C4⋊C4—21no—
1656C2×C4⋊C4—22no—
1657C2×C4⋊C4—21no—
1658C2×C4⋊C4—21no—
1659C2×C4⋊C4—24no—
1660C2×C4⋊C4—22no—
1661C2×C4⋊C4—22no—
1662C2×C4⋊C4—22no—
1663C2×C4⋊C4—24no—
1664C2×C4⋊C4C2×D411yescharacteristic
1665C2×C4⋊C4C2×D412yes—
1666C2×C4⋊C4C2411yescharacteristic
1667C2×C4⋊C4C2411yescharacteristic
1668C2×C4⋊C4C2414yes—
1669C2×C4⋊C4C2412yes—
1670C2×C22⋊C4—22no—
1671C2×C22⋊C4—22no—
1672C2×C22⋊C4—24no—
1673C2×C22⋊C4—22no—
1674C2×C22⋊C4—21no—
1675C2×C22⋊C4—22no—
1676C2×C22⋊C4—24no—
1677C2×C22⋊C4—24no—
1678C2×C22⋊C4—24no—
1679C2×C22⋊C4—24no—
1680C2×C22⋊C4—24no—
1681C2×C22⋊C4—24no—
1682C2×C22⋊C4—24no—
1683C2×C22⋊C4—24no—
1684C2×C42—21no—
1685C2×C42—22no—
1686C2×C42—22no—
1687C2×C42—22no—
1688C2×C42—24no—
1689C2×C42—21no—
1690C2×C42—21no—
1691C2×C42—22no—
1692C2×C42C2412yes—
1693C2×C42C2411yescharacteristic
1694C2×C42C2414yes—
1695C2×C42C2412yes—
1696#107C2411yescharacteristic
1697#107C2411yescharacteristic
1698#107C2412yes—
1699#107C2412yes—
1700#107C2412yes—
1701#107C2412yes—
1702#107C2414yes—
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#103C2412yes—
1732#103C2412yes—
1733#103C2412yes—
1734#103C2414yes—
1735#103C2412yes—
1736#103C2412yes—
1737#103C2412yes—
1738#103C2412yes—
1739#103C2411yescharacteristic
1740#103C2411yescharacteristic
1741#103C2411yescharacteristic
1742#103C2411yescharacteristic
1743#103C2412yes—
1744#103C2412yes—
1745#103C2412yes—
1746#103C2412yes—
1747#103C2412yes—
1748#102C2412yes—
1749#102C2414yes—
1750#102C2414yes—
1751#102C2412yes—
1752#102C2412yes—
1753#102C2412yes—
1754#102C2414yes—
1755#102C2412yes—
1756#102C2412yes—
1757#102C2414yes—
1758#102C2414yes—
1759#102C2414yes—
1760#102C2414yes—
1761#102C2414yes—
1762#102C2412yes—
1763#102C2412yes—
1764#102C2414yes—
1765#102C2414yes—
1766#102C2412yes—
1767#102C2414yes—
1768#102C2411yescharacteristic
1769#102C2411yescharacteristic
1770#102C2411yescharacteristic
1771#102C2411yescharacteristic
1772#102C2412yes—
1773#102C2412yes—
1774#102C2412yes—
1775#102C2412yes—
1776#102C2414yes—
1777#102C2414yes—
1778#102C2412yes—
1779#102C2414yes—
1780#102C2414yes—
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—24no—
1802C24—22no—
1803C24—21no—
1804C24—22no—
1805C24—24no—
1806C24—24no—
1807C24—24no—
1808#41—24no—
1809#41—22no—
1810#41—24no—
1811#41—22no—
1812#41—22no—
1813#41—28no—
1814#41—24no—
1815#41—22no—
1816#41—24no—
1817#41—24no—
1818#41—22no—
1819#41—44no—
1820#41—44no—
1821#41—42no—
1822#41—44no—
1823#41—48no—
1824#41—44no—
1825#41—44no—
1826#41—44no—
1827#41—44no—
1828#41—44no—
1829#41—44no—
1830#41—48no—
1831#41—48no—
1832#41—44no—
1833#41—84no—
1834#41—84no—
1835#41—88no—
1836#41—84no—
1837#41—84no—
1838#41—84no—
1839#41—84no—
1840#41—88no—
1841#41—162no—
1842#41—164no—
1843#41H(5,𝔽2)14yescomplemented
1844C2×Q8—22no—
1845C2×Q8—21no—
1846C2×Q8—21no—
1847C2×Q8—22no—
1848C2×Q8—22no—
1849C2×Q8—21no—
1850C2×Q8—22no—
1851C2×Q8—24no—
1852C2×Q8—22no—
1853C2×Q8—22no—
1854C2×Q8—42no—
1855C2×Q8—42no—
1856C2×Q8—44no—
1857C2×Q8—82no—
1858C2×Q8C22×D411yescharacteristic
1859C2×Q8C22×D411yescharacteristic
1860C2×Q8C22×D412yes—
1861C2×Q8C22×D411yescharacteristic
1862C2×Q8C22×D412yes—
1863C2×Q8C2511yescharacteristic
1864C2×Q8C2512yes—
1865C2×Q8C2512yes—
1866C2×Q8C2511yescharacteristic
1867C2×D4—21no—
1868C2×D4—28no—
1869C2×D4—22no—
1870C2×D4—24no—
1871C2×D4—21no—
1872C2×D4—22no—
1873C2×D4—24no—
1874C2×D4—24no—
1875C2×D4—24no—
1876C2×D4—22no—
1877C2×D4—24no—
1878C2×D4—24no—
1879C2×D4—24no—
1880C2×D4—22no—
1881C2×D4—24no—
1882C2×D4—24no—
1883C2×D4—24no—
1884C2×D4—24no—
1885C2×D4—22no—
1886C2×D4—24no—
1887C2×D4—22no—
1888C2×D4—22no—
1889C2×D4—22no—
1890C2×D4—21no—
1891C2×D4—24no—
1892C2×D4—22no—
1893C2×D4—21no—
1894C2×D4—22no—
1895C2×D4—22no—
1896C2×D4—22no—
1897C2×D4—21no—
1898C2×D4—22no—
1899C2×D4—24no—
1900C2×D4—22no—
1901C2×D4—24no—
1902C2×D4—24no—
1903C2×D4—22no—
1904C2×D4—22no—
1905C2×D4—22no—
1906C2×D4—22no—
1907C2×D4—24no—
1908C2×D4—24no—
1909C2×D4—24no—
1910C2×D4—24no—
1911C2×D4—24no—
1912C2×D4—22no—
1913C2×D4—22no—
1914C2×D4—24no—
1915C2×D4—24no—
1916C2×D4—24no—
1917C2×D4—24no—
1918C2×D4—22no—
1919C2×D4—44no—
1920C2×D4—44no—
1921C2×D4—44no—
1922C2×D4—44no—
1923C2×D4—44no—
1924C2×D4—44no—
1925C2×D4—44no—
1926C2×D4—48no—
1927C2×D4—416no—
1928C2×D4—82no—
1929C2×D4—82no—
1930C2×D4—84no—
1931C2×D4—84no—
1932C2×D4—84no—
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—88no—
1942C2×D4—88no—
1943C2×D4—88no—
1944C2×D4—162no—
1945C2×D4—164no—
1946C2×D4—161no—
1947C2×D4—161no—
1948C2×D4—162no—
1949C2×D4—162no—
1950C2×D4—162no—
1951C2×D4—164no—
1952C2×D4C22×D412yes—
1953C2×D4C22×D414yes—
1954C2×D4C22×D412yes—
1955C2×D4C22×D411yescharacteristic
1956C2×D4C22×D412yes—
1957C2×D4C22×D414yes—
1958C2×D4C22×D414yes—
1959C2×D4C22×D412yes—
1960C2×D4C2511yescharacteristic
1961C2×D4C2512yes—
1962C2×D4C2512yes—
1963C2×D4C2514yes—
1964C2×D4C2514yes—
1965C2×D4C2511yescharacteristic
1966C22×C4—21no—
1967C22×C4—21no—
1968C22×C4—22no—
1969C22×C4—21no—
1970C22×C4—22no—
1971C22×C4—21no—
1972C22×C4—24no—
1973C22×C4—21no—
1974C22×C4—22no—
1975C22×C4—24no—
1976C22×C4—21no—
1977C22×C4—22no—
1978C22×C4—22no—
1979C22×C4—21no—
1980C22×C4—24no—
1981C22×C4—22no—
1982C22×C4—22no—
1983C22×C4—22no—
1984C22×C4—22no—
1985C22×C4—24no—
1986C22×C4—21no—
1987C22×C4—24no—
1988C22×C4—21no—
1989C22×C4—22no—
1990C22×C4—22no—
1991C22×C4—24no—
1992C22×C4—24no—
1993C22×C4—24no—
1994C22×C4—24no—
1995C22×C4—24no—
1996C22×C4—24no—
1997C22×C4—82no—
1998C22×C4—84no—
1999C22×C4—164no—
2000C22×C4—162no—
2001C22×C4C22×D411yescharacteristic
2002C22×C4C22×D412yes—
2003C22×C4C22×D412yes—
2004C22×C4C22×D412yes—
2005C22×C4C22×D411yescharacteristic
2006C22×C4C22×D414yes—
2007C22×C4C22×D412yes—
2008C22×C4C22×D414yes—
2009C22×C4C2512yes—
2010C22×C4C2514yes—
2011C22×C4C2511yescharacteristic
2012Q16—22no—
2013Q16—24no—
2014Q16—44no—
2015Q16—42no—
2016SD16—24no—
2017SD16—28no—
2018SD16—22no—
2019SD16—24no—
2020SD16—24no—
2021SD16—22no—
2022SD16—44no—
2023SD16—42no—
2024SD16—42no—
2025SD16—44no—
2026SD16—44no—
2027SD16—44no—
2028SD16—44no—
2029SD16—44no—
2030SD16—42no—
2031D8—22no—
2032D8—24no—
2033D8—24no—
2034D8—28no—
2035D8—44no—
2036D8—44no—
2037D8—44no—
2038D8—44no—
2039D8—44no—
2040D8—44no—
2041D8—44no—
2042D8—44no—
2043D8—44no—
2044M16—22no—
2045M16—24no—
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×C8C2514yes—
2062C2×C8C2512yes—
2063C2×C8C2512yes—
2064C2×C8C2512yes—
2065C4⋊C4—22no—
2066C4⋊C4—22no—
2067C4⋊C4—21no—
2068C4⋊C4—22no—
2069C4⋊C4—21no—
2070C4⋊C4—22no—
2071C4⋊C4—22no—
2072C4⋊C4—22no—
2073C4⋊C4—22no—
2074C4⋊C4—24no—
2075C4⋊C4—21no—
2076C4⋊C4—24no—
2077C4⋊C4—22no—
2078C4⋊C4—22no—
2079C4⋊C4—21no—
2080C4⋊C4—22no—
2081C4⋊C4—22no—
2082C4⋊C4—22no—
2083C4⋊C4—21no—
2084C4⋊C4—22no—
2085C4⋊C4—21no—
2086C4⋊C4—22no—
2087C4⋊C4—22no—
2088C4⋊C4—24no—
2089C4⋊C4—22no—
2090C4⋊C4—22no—
2091C4⋊C4—22no—
2092C4⋊C4—24no—
2093C4⋊C4—21no—
2094C4⋊C4—22no—
2095C4⋊C4—22no—
2096C4⋊C4—21no—
2097C4⋊C4—22no—
2098C4⋊C4—22no—
2099C4⋊C4—22no—
2100C4⋊C4—21no—
2101C4⋊C4—21no—
2102C4⋊C4—22no—
2103C4⋊C4C22×D411yescharacteristic
2104C4⋊C4C22×D412yes—
2105C4⋊C4C22×D412yes—
2106C4⋊C4C22×D414yes—
2107C4⋊C4C22×D411yescharacteristic
2108C4⋊C4C22×D414yes—
2109C4⋊C4C22×D412yes—
2110C4⋊C4C22×D411yescharacteristic
2111C4⋊C4C22×D412yes—
2112C4⋊C4C22×D412yes—
2113C4⋊C4C22×D412yes—
2114C4⋊C4C22×D412yes—
2115C4⋊C4C22×D411yescharacteristic
2116C4⋊C4C22×D414yes—
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—24no—
2130C22⋊C4—24no—
2131C22⋊C4—22no—
2132C22⋊C4—24no—
2133C22⋊C4—24no—
2134C22⋊C4—21no—
2135C22⋊C4—22no—
2136C22⋊C4—21no—
2137C22⋊C4—22no—
2138C22⋊C4—24no—
2139C22⋊C4—22no—
2140C22⋊C4—22no—
2141C22⋊C4—24no—
2142C22⋊C4—24no—
2143C22⋊C4—24no—
2144C22⋊C4—24no—
2145C22⋊C4—22no—
2146C22⋊C4—22no—
2147C22⋊C4—22no—
2148C22⋊C4—22no—
2149C22⋊C4—24no—
2150C22⋊C4—24no—
2151C22⋊C4—24no—
2152C22⋊C4—24no—
2153C22⋊C4—24no—
2154C22⋊C4—24no—
2155C22⋊C4—22no—
2156C22⋊C4—24no—
2157C22⋊C4—24no—
2158C22⋊C4—22no—
2159C22⋊C4—21no—
2160C22⋊C4—21no—
2161C22⋊C4—24no—
2162C22⋊C4—22no—
2163C22⋊C4—22no—
2164C22⋊C4—22no—
2165C22⋊C4—22no—
2166C22⋊C4—24no—
2167C22⋊C4—22no—
2168C22⋊C4—24no—
2169C22⋊C4—24no—
2170C22⋊C4—22no—
2171C22⋊C4—21no—
2172C22⋊C4—21no—
2173C22⋊C4—22no—
2174C22⋊C4—22no—
2175C22⋊C4—24no—
2176C22⋊C4—22no—
2177C22⋊C4—24no—
2178C22⋊C4C22×D412yes—
2179C22⋊C4C22×D414yes—
2180C22⋊C4C22×D414yes—
2181C22⋊C4C22×D414yes—
2182C22⋊C4C22×D414yes—
2183C22⋊C4C22×D414yes—
2184C22⋊C4C22×D414yes—
2185C22⋊C4C22×D412yes—
2186C22⋊C4C22×D412yes—
2187C22⋊C4C22×D414yes—
2188C22⋊C4C22×D414yes—
2189C42—22no—
2190C42—21no—
2191C42—22no—
2192C42—22no—
2193C42—21no—
2194C42—22no—
2195C42—22no—
2196C42—22no—
2197C42—24no—
2198C42—22no—
2199C42—22no—
2200C42—21no—
2201C42—22no—
2202C42—21no—
2203C42—21no—
2204C42—22no—
2205C42—22no—
2206C42—21no—
2207C42C22×D411yescharacteristic
2208C42C22×D414yes—
2209C42C22×D412yes—
2210C42C22×D412yes—
2211C42C22×D412yes—
2212C42C22×D414yes—
2213C42C22×D411yescharacteristic
2214C42C22×D412yes—
2215C42C2511yescharacteristic
2216C42C2512yes—
2217C42C2511yescharacteristic
2218C42C2512yes—
2219C42C2512yes—
2220C23—21no—
2221C23—24no—
2222C23—21no—
2223C23—22no—
2224C23—22no—
2225C23—24no—
2226C23—48no—
2227C23—44no—
2228C23—42no—
2229C23—44no—
2230C23—81no—
2231C23—82no—
2232C23—82no—
2233C23—84no—
2234C23—82no—
2235C23—84no—
2236C23—81no—
2237C23—82no—
2238C23—84no—
2239C23—84no—
2240C23—84no—
2241C23—84no—
2242C23—84no—
2243C23—84no—
2244C23—84no—
2245C23—84no—
2246C23—84no—
2247C23C23×D414yes—
2248C23C23×D412yes—
2249C23C23×D411yescharacteristic
2250Q8—22no—
2251Q8—22no—
2252Q8—21no—
2253Q8—22no—
2254Q8—24no—
2255Q8—21no—
2256Q8—22no—
2257Q8—22no—
2258Q8—22no—
2259Q8—22no—
2260Q8—21no—
2261Q8—42no—
2262Q8—44no—
2263Q8—42no—
2264Q8—42no—
2265Q8—82no—
2266Q8—82no—
2267Q8—81no—
2268Q8—82no—
2269Q8C2×H(5,𝔽2)12yes—
2270D4—24no—
2271D4—28no—
2272D4—24no—
2273D4—24no—
2274D4—22no—
2275D4—21no—
2276D4—24no—
2277D4—22no—
2278D4—24no—
2279D4—21no—
2280D4—24no—
2281D4—24no—
2282D4—22no—
2283D4—22no—
2284D4—21no—
2285D4—24no—
2286D4—22no—
2287D4—44no—
2288D4—42no—
2289D4—44no—
2290D4—48no—
2291D4—48no—
2292D4—44no—
2293D4—48no—
2294D4—44no—
2295D4—42no—
2296D4—44no—
2297D4—42no—
2298D4—44no—
2299D4—44no—
2300D4—44no—
2301D4—42no—
2302D4—44no—
2303D4—84no—
2304D4—84no—
2305D4—84no—
2306D4—82no—
2307D4—84no—
2308D4—82no—
2309D4—82no—
2310D4—84no—
2311D4—82no—
2312D4—82no—
2313D4—84no—
2314D4—84no—
2315D4—81no—
2316D4—82no—
2317D4—84no—
2318D4—82no—
2319D4—82no—
2320D4—82no—
2321D4—84no—
2322D4—84no—
2323D4—84no—
2324D4—84no—
2325D4—82no—
2326D4—84no—
2327D4—82no—
2328D4—84no—
2329D4—82no—
2330D4—84no—
2331D4—84no—
2332D4—84no—
2333D4—84no—
2334D4C2×H(5,𝔽2)12yes—
2335C2×C4—21no—
2336C2×C4—22no—
2337C2×C4—24no—
2338C2×C4—24no—
2339C2×C4—22no—
2340C2×C4—24no—
2341C2×C4—22no—
2342C2×C4—24no—
2343C2×C4—21no—
2344C2×C4—22no—
2345C2×C4—22no—
2346C2×C4—22no—
2347C2×C4—21no—
2348C2×C4—21no—
2349C2×C4—21no—
2350C2×C4—21no—
2351C2×C4—22no—
2352C2×C4—22no—
2353C2×C4—22no—
2354C2×C4—42no—
2355C2×C4—44no—
2356C2×C4—42no—
2357C2×C4—44no—
2358C2×C4—41no—
2359C2×C4—42no—
2360C2×C4—48no—
2361C2×C4—44no—
2362C2×C4—44no—
2363C2×C4—48no—
2364C2×C4—44no—
2365C2×C4—42no—
2366C2×C4—44no—
2367C2×C4—42no—
2368C2×C4—42no—
2369C2×C4—42no—
2370C2×C4—44no—
2371C2×C4—82no—
2372C2×C4—84no—
2373C2×C4—82no—
2374C2×C4—84no—
2375C2×C4—82no—
2376C2×C4—84no—
2377C2×C4—84no—
2378C2×C4—84no—
2379C2×C4—84no—
2380C2×C4—84no—
2381C2×C4—82no—
2382C2×C4—81no—
2383C2×C4—81no—
2384C2×C4—82no—
2385C2×C4—84no—
2386C2×C4—81no—
2387C2×C4—81no—
2388C2×C4—84no—
2389C2×C4—82no—
2390C2×C4C23×D412yes—
2391C2×C4C23×D411yescharacteristic
2392C2×C4C23×D411yescharacteristic
2393C2×C4C23×D412yes—
2394C2×C4C23×D412yes—
2395C2×C4C23×D412yes—
2396C2×C4C23×D412yes—
2397C2×C4C23×D414yes—
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—22no—
2411C8—24no—
2412C8—21no—
2413C8—21no—
2414C8—22no—
2415C22—21no—
2416C22—21no—
2417C22—22no—
2418C22—22no—
2419C22—24no—
2420C22—22no—
2421C22—24no—
2422C22—22no—
2423C22—24no—
2424C22—41no—
2425C22—41no—
2426C22—44no—
2427C22—41no—
2428C22—42no—
2429C22—42no—
2430C22—44no—
2431C22—44no—
2432C22—42no—
2433C22—42no—
2434C22—41no—
2435C22—44no—
2436C22—44no—
2437C22—42no—
2438C22—41no—
2439C22—42no—
2440C22—44no—
2441C22—164no—
2442C22—162no—
2443C22—164no—
2444C22—168no—
2445C22—324no—
2446C22—324no—
2447C22—324no—
2448C22#348812yes—
2449C22C24×D411yescharacteristic
2450C4—22no—
2451C4—24no—
2452C4—22no—
2453C4—22no—
2454C4—21no—
2455C4—22no—
2456C4—22no—
2457C4—22no—
2458C4—22no—
2459C4—21no—
2460C4—22no—
2461C4—21no—
2462C4—42no—
2463C4—41no—
2464C4—42no—
2465C4—42no—
2466C4—41no—
2467C4—41no—
2468C4—42no—
2469C4—42no—
2470C4—42no—
2471C4—41no—
2472C4—41no—
2473C4#348812yes—
2474C4#358512yes—
2475C4C22×H(5,𝔽2)11yescharacteristic
2476C4C2×#58511yescharacteristic
2477C2—22no—
2478C2—44no—
2479C2—42no—
2480C2—42no—
2481C2—84no—
2482C2—82no—
2483C2—84no—
2484C2—81no—
2485C2—82no—
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. #63010C2semidirect
2. #62916C2semidirect
3. #62083C2semidirect
4. #62081C2semidirect
5. #62067C2semidirect
6. #62057C2semidirect
7. #62045C2semidirect
8. #62031C2semidirect
9. #62026C2semidirect
10. #62007C2semidirect
11. #61994C2semidirect
12. #61979C2semidirect
13. #61974C2semidirect
14. #61963C2semidirect
15. #61405C2semidirect
16. C2×#3399C2semidirect
17. #61321C2semidirect
18. #61316C2semidirect
19. #61218C2semidirect
20. #61212C2semidirect
21. #61206C2semidirect
22. #61205C2semidirect
23. #61093C2semidirect
24. #61092C2semidirect
25. #61089C2semidirect
26. #61082C2semidirect
27. #60926C2semidirect
28. #60922C2semidirect
29. #60827C2semidirect
30. #60817C2semidirect
31. #60574C2semidirect
32. #60572C2semidirect
33. #60431C2semidirect
34. #60428C2semidirect
35. #60275C2semidirect
36. C2×#577C22semidirect
37. C2×#576C22semidirect
38. C2×#576C22semidirect
41. #3546C22semidirect
42. #3546C22semidirect
45. #3543C22semidirect
46. #3543C22semidirect
49. #3524C22semidirect
50. #3522C22semidirect
52. #3517C22semidirect
54. #3514C22semidirect
56. #3513C22semidirect
58. #3510C22semidirect
60. #3508C22semidirect
62. #3507C22semidirect
64. #3506C22semidirect
65. #3500C22semidirect
68. #3498C22semidirect
69. #3498C22semidirect
70. #3498C22semidirect
71. #3498C22semidirect
72. #3498C22semidirect
74. #3496C22semidirect
77. #3481C22semidirect
80. #3480C22semidirect
81. #3480C22semidirect
83. C2×#559C22semidirect
84. Q8×#41C22semidirect
85. C2×#550C22semidirect
86. #3460C22semidirect
87. #3460C22semidirect
88. C4×2−1+4C22semidirect
89. C4×H(5,𝔽2)C22semidirect
90. #3403C22semidirect
91. #3401C22semidirect
92. #3400C22semidirect
93. #3399C22semidirect
94. #3399C22semidirect
95. #3399C22semidirect
96. #3399C22semidirect
97. #3399C22semidirect
98. #3399C22semidirect
99. #3399C22semidirect
100. #3396C22semidirect
101. #3394C22semidirect
102. #3377C22semidirect
103. #3376C22semidirect
104. #3375C22semidirect
105. #3374C22semidirect
106. #3373C22semidirect
107. #3372C22semidirect
108. #3371C22semidirect
109. #3370C22semidirect
110. #3369C22semidirect
111. #3368C22semidirect
112. #3368C22semidirect
113. #3368C22semidirect
114. #3367C22semidirect
115. #3366C22semidirect
116. #3366C22semidirect
117. #3366C22semidirect
118. #3362C22semidirect
119. #3358C22semidirect
120. #3333C22semidirect
121. #3332C22semidirect
122. #3331C22semidirect
123. #3325C22semidirect
124. #3324C22semidirect
125. #3324C22semidirect
126. #3323C22semidirect
127. #3319C22semidirect
128. #3319C22semidirect
129. #3318C22semidirect
130. #3318C22semidirect
131. #3318C22semidirect
132. #3318C22semidirect
133. #3317C22semidirect
134. #3310C22semidirect
135. #3309C22semidirect
136. #3309C22semidirect
137. #3307C22semidirect
138. #3307C22semidirect
139. #3306C22semidirect
140. #3306C22semidirect
141. #3305C22semidirect
142. #3304C22semidirect
143. #3302C22semidirect
144. #3296C22semidirect
145. #3295C22semidirect
146. #3295C22semidirect
147. #3294C22semidirect
148. #3287C22semidirect
149. #3287C22semidirect
150. #3284C22semidirect
151. #3282C22semidirect
152. #3280C22semidirect
153. D4×D8C22semidirect
154. D4×D8C22semidirect
155. D4×D8C22semidirect
156. #3275C22semidirect
157. #3274C22semidirect
158. #3274C22semidirect
159. #3274C22semidirect
160. #3274C22semidirect
161. #3274C22semidirect
162. #3273C22semidirect
163. #3272C22semidirect
164. #3271C22semidirect
165. #3271C22semidirect
166. #3269C22semidirect
167. #3268C22semidirect
168. #3268C22semidirect
169. #3268C22semidirect
170. #3267C22semidirect
171. #3265C22semidirect
172. #3265C22semidirect
173. #3265C22semidirect
174. #3264C22semidirect
175. #3264C22semidirect
176. #3264C22semidirect
177. #3264C22semidirect
178. #3263C22semidirect
179. #3262C22semidirect
180. #3259C22semidirect
181. #3257C22semidirect
182. #3257C22semidirect
183. #3257C22semidirect
184. #3256C22semidirect
185. #3253C22semidirect
186. #3251C22semidirect
187. #3251C22semidirect
188. #3250C22semidirect
189. #3247C22semidirect
190. #3247C22semidirect
191. #3245C22semidirect
192. #3224C22semidirect
193. #3224C22semidirect
194. #3224C22semidirect
195. #3224C22semidirect
196. #3220C22semidirect
197. #3220C22semidirect
198. #3219C22semidirect
199. #3219C22semidirect
200. #3217C22semidirect
201. #3217C22semidirect
202. #3207C22semidirect
203. #3207C22semidirect
204. #3205C22semidirect
205. #3205C22semidirect
206. #3153C22semidirect
207. #3151C22semidirect
208. C2×#496C22semidirect
209. C2×#493C22semidirect
210. #3138C22semidirect
211. #3138C22semidirect
212. #3135C22semidirect
213. #3131C22semidirect
214. #3126C22semidirect
215. #3125C22semidirect
216. #3125C22semidirect
217. #3122C22semidirect
218. #3121C22semidirect
219. #3119C22semidirect
220. #3119C22semidirect
221. #3118C22semidirect
222. #3115C22semidirect
223. #3114C22semidirect
224. #3111C22semidirect
225. #3109C22semidirect
226. #3108C22semidirect
227. #3106C22semidirect
228. #3103C22semidirect
229. #3102C22semidirect
230. #3099C22semidirect
231. #3099C22semidirect
232. #3096C22semidirect
233. #3096C22semidirect
234. #3084C22semidirect
235. #3082C22semidirect
236. #3081C22semidirect
237. #3077C22semidirect
238. #3077C22semidirect
239. #3076C22semidirect
240. #3076C22semidirect
241. #3063C22semidirect
242. #3062C22semidirect
243. #3062C22semidirect
244. #3058C22semidirect
245. #3058C22semidirect
246. #3057C22semidirect
247. #3045C22semidirect
248. #3045C22semidirect
249. #3045C22semidirect
250. #3045C22semidirect
251. #3045C22semidirect
252. #3043C22semidirect
253. #3043C22semidirect
254. #3043C22semidirect
255. #3041C22semidirect
256. #3041C22semidirect
257. #3041C22semidirect
258. #3041C22semidirect
259. #3041C22semidirect
260. #3040C22semidirect
261. #3038C22semidirect
262. #3038C22semidirect
263. #3038C22semidirect
264. #3038C22semidirect
265. #3038C22semidirect
266. #3037C22semidirect
267. #3037C22semidirect
268. #3036C22semidirect
269. #3036C22semidirect
270. #3035C22semidirect
271. #3035C22semidirect
272. #3035C22semidirect
273. #3035C22semidirect
274. C2×#460C22semidirect
275. C2×#460C22semidirect
276. C2×#463C22semidirect
277. C2×#459C22semidirect
278. C2×#459C22semidirect
279. C2×#459C22semidirect
280. #3013C22semidirect
281. #3012C22semidirect
282. #3010C22semidirect
283. #3009C22semidirect
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. #2897C22semidirect
315. #2897C22semidirect
316. #2897C22semidirect
1843. #41H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#630102
#629162
#620832
#620812
#620672
#620572
#620452
#620312
#620262
#620072
#619942
#619792
#619742
#619632
#614052
C2×#33992
#613212
#613162
#612182
#612122
#612062
#612052
#610932
#610922
#610892
#610822
#609262
#609222
#608272
#608172
#605742
#605722
#604312
#604282
#602752