Finite Group Databasebeta

← #10579594

Subgroups — #10579594

Order 512.

6239 conjugacy classes of subgroups.

The subgroup lattice has 2412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62831C211yesmaximal, characteristic, complemented
2#62773C211yesmaximal, characteristic, complemented
3#62202C212yesmaximal, complemented
4#62201C212yesmaximal, complemented
5#62200C212yesmaximal, complemented
6#62199C212yesmaximal, complemented
7#62176C214yesmaximal, complemented
8#62175C214yesmaximal, complemented
9#62152C212yesmaximal, complemented
10#62151C212yesmaximal, complemented
11#62141C212yesmaximal, complemented
12#62137C212yesmaximal, complemented
13#62119C214yesmaximal, complemented
14#62103C214yesmaximal, complemented
15#61371C211yesmaximal, characteristic, complemented
16#61370C211yesmaximal, characteristic, complemented
17#61327C211yesmaximal, characteristic, complemented
18#61325C211yesmaximal, characteristic, complemented
19#61285C211yesmaximal, characteristic, complemented
20#61284C211yesmaximal, characteristic, complemented
21#61273C212yesmaximal, complemented
22#61272C212yesmaximal, complemented
23#61212C211yesmaximal, characteristic, complemented
24#61211C211yesmaximal, characteristic, complemented
25#61184C212yesmaximal, complemented
26#61183C212yesmaximal, complemented
27#60926C212yesmaximal, complemented
28#60917C211yesmaximal, characteristic, complemented
29#60890C212yesmaximal, complemented
30#60846C211yesmaximal, characteristic, complemented
31#60592C212yesmaximal, complemented
32C2×#3105C211yesmaximal, characteristic, complemented
33#60496C212yesmaximal, complemented
34C2×#3077C211yesmaximal, characteristic, complemented
35#60268C211yesmaximal, characteristic, complemented
36#3565C2214yescomplemented
37#3564—22no—
38#3557—22no—
39#3555—21no—
40#3554—21no—
41#3552C2212yescomplemented
42#3544C2212yescomplemented
43#3535—22no—
44#3523—21no—
45#3522—21no—
46#3520—21no—
47#3520—22no—
48#3520C2212yescomplemented
49#3519—21no—
50#3519C2212yescomplemented
51#3518C2212yescomplemented
52#3515C2214yescomplemented
53#3515C2212yescomplemented
54#3513—22no—
55#3513C2214yescomplemented
56#3510C2212yescomplemented
57#3507—22no—
58#3507C2211yescharacteristic, complemented
59#3506C2211yescharacteristic
60#3506C2211yescharacteristic
61#3506C2211yescharacteristic, complemented
62#3505—22no—
63#3504C2212yescomplemented
64#3502C2211yescharacteristic, complemented
65#3501C2211yescharacteristic
66#3501C2211yescharacteristic, complemented
67#3496C2211yescharacteristic
68#3495—22no—
69#3495C2212yescomplemented
70#3494C2212yescomplemented
71#3492C2212yes—
72#3490—22no—
73#3484C2212yes—
74#3481—22no—
75#3481C2214yescomplemented
76#3475—21no—
77#3475C2212yescomplemented
78D4×#41—21no—
79D4×#41C2212yescomplemented
80#3460C2212yes—
81#3459—22no—
82#3444C2211yescharacteristic
83#3444C2211yescharacteristic
84C2×#533C2211yescharacteristic, complemented
85C2×#529C2211yescharacteristic, complemented
86C2×#525—22no—
87C4×H(5,𝔽2)C2212yes—
88C22×C4×D4C2211yescharacteristic
89#3389C2214yescomplemented
90#3388C2214yescomplemented
91#3386C2212yescomplemented
92#3385C2212yescomplemented
93#3384C2212yescomplemented
94#3384C2212yescomplemented
95#3381C2214yescomplemented
96#3381C2212yescomplemented
97#3380C2214yescomplemented
98#3380C2212yescomplemented
99Q8×SD16C2212yescomplemented
100Q8×D8C2212yescomplemented
101#3371C2214yescomplemented
102#3370C2214yescomplemented
103#3369C2212yescomplemented
104#3368C2212yescomplemented
105#3367C2212yescomplemented
106#3366C2212yescomplemented
107#3365C2214yescomplemented
108#3364C2212yescomplemented
109#3362C2212yescomplemented
110#3361C2214yescomplemented
111#3360C2212yescomplemented
112#3358C2212yescomplemented
113#3357C2212yescomplemented
114#3355C2214yescomplemented
115#3354C2214yescomplemented
116#3354C2212yescomplemented
117#3354C2212yescomplemented
118#3353C2214yescomplemented
119#3353C2212yescomplemented
120#3352C2214yescomplemented
121#3351C2214yescomplemented
122#3351C2214yescomplemented
123#3349C2214yescomplemented
124#3348C2214yescomplemented
125#3346C2214yescomplemented
126#3346C2214yescomplemented
127#3345C2214yescomplemented
128#3345C2214yescomplemented
129#3344C2214yescomplemented
130#3343C2214yescomplemented
131#3341C2212yescomplemented
132#3340C2212yescomplemented
133#3339C2214yescomplemented
134#3339C2214yescomplemented
135#3338C2214yescomplemented
136#3337C2214yescomplemented
137#3337C2214yescomplemented
138#3335C2214yescomplemented
139#3335C2212yescomplemented
140#3334C2212yescomplemented
141#3331C2212yescomplemented
142#3330C2212yescomplemented
143#3325C2214yescomplemented
144#3325C2212yescomplemented
145#3324C2214yescomplemented
146#3324C2212yescomplemented
147#3323C2214yescomplemented
148#3323C2214yescomplemented
149#3322C2214yescomplemented
150#3322C2214yescomplemented
151#3319C2214yescomplemented
152#3318C2214yescomplemented
153#3318C2214yescomplemented
154#3314C2214yescomplemented
155#3311C2214yescomplemented
156#3310C2214yescomplemented
157#3310C2214yescomplemented
158#3306C2214yescomplemented
159#3303C2212yescomplemented
160#3302C2212yescomplemented
161#3297C2214yescomplemented
162#3297C2214yescomplemented
163#3296C2214yescomplemented
164#3296C2214yescomplemented
165#3295C2214yescomplemented
166#3295C2212yescomplemented
167#3294C2214yescomplemented
168#3294C2212yescomplemented
169#3263C2214yescomplemented
170#3262C2214yescomplemented
171#3257C2214yescomplemented
172#3257C2214yescomplemented
173#3256C2214yescomplemented
174#3256C2214yescomplemented
175#3252C2212yescomplemented
176#3251C2212yescomplemented
177#3251C2214yescomplemented
178#3250C2214yescomplemented
179#3250C2214yescomplemented
180#3248C2212yescomplemented
181#3247C2212yescomplemented
182#3247C2214yescomplemented
183#3244C2214yescomplemented
184#3243C2214yescomplemented
185#3241C2214yescomplemented
186#3241C2214yescomplemented
187#3240C2214yescomplemented
188#3234C2214yescomplemented
189#3233C2212yescomplemented
190#3233C2212yescomplemented
191#3232C2212yescomplemented
192#3232C2212yescomplemented
193#3232C2214yescomplemented
194#3231C2211yescharacteristic, complemented
195#3231C2211yescharacteristic, complemented
196#3230C2211yescharacteristic, complemented
197#3229C2211yescharacteristic, complemented
198#3228C2211yescharacteristic, complemented
199#3228C2211yescharacteristic, complemented
200#3228C2214yescomplemented
201#3227C2211yescharacteristic, complemented
202#3226C2211yescharacteristic, complemented
203#3164C2212yescomplemented
204#3163C2212yescomplemented
205#3160C2211yescharacteristic, complemented
206#3160C2211yescharacteristic, complemented
207#3136C2212yescomplemented
208#3136C2212yescomplemented
209#3131C2211yescharacteristic, complemented
210#3131C2211yescharacteristic, complemented
211#3125C2214yescomplemented
212#3124C2214yescomplemented
213#3118C2214yescomplemented
214#3118C2214yescomplemented
215#3114C2214yescomplemented
216#3111C2214yescomplemented
217#3105C2212yescomplemented
218#3105C2212yescomplemented
219#3105C2212yescomplemented
220#3105C2212yescomplemented
221#3105C2212yescomplemented
222#3105C2212yescomplemented
223#3105C2212yescomplemented
224#3105C2212yescomplemented
225#3105C2214yescomplemented
226#3102C2214yescomplemented
227#3099C2212yescomplemented
228#3098C2212yescomplemented
229#3097C2212yescomplemented
230#3096C2212yescomplemented
231#3096C2212yescomplemented
232#3096C2212yescomplemented
233#3091C2212yescomplemented
234#3091C2212yescomplemented
235C2×#484C2211yescharacteristic, complemented
236C2×#481C2211yescharacteristic, complemented
237#3084C2212yescomplemented
238#3084C2214yescomplemented
239#3083C2212yescomplemented
240#3083C2214yescomplemented
241#3082C2212yescomplemented
242#3081C2212yes—
243#3081C2212yes—
244#3081C2212yescomplemented
245#3081C2214yescomplemented
246#3081C2214yescomplemented
247#3080C2212yescomplemented
248#3080C2214yescomplemented
249#3078C2211yescharacteristic, complemented
250#3077C2211yescharacteristic
251#3077C2211yescharacteristic
252#3077C2212yes—
253#3077C2211yescharacteristic, complemented
254#3077C2211yescharacteristic, complemented
255#3077C2212yescomplemented
256#3077C2212yescomplemented
257#3077C2212yescomplemented
258#3077C2214yescomplemented
259#3077C2211yescharacteristic, complemented
260#3077C2214yescomplemented
261#3076C2212yescomplemented
262#3076C2212yescomplemented
263#3076C2214yescomplemented
264C2×#478C2211yescharacteristic
265C2×#478C2214yescomplemented
266C2×#478C2211yescharacteristic, complemented
267C2×#478C2214yescomplemented
268C2×#476C2212yescomplemented
269C2×#474C2212yescomplemented
270#3063C2212yescomplemented
271#3062C2212yescomplemented
272#3058C2212yescomplemented
273#3057C2212yescomplemented
274#3056C2212yescomplemented
275#3055C2212yescomplemented
276#3043C2212yescomplemented
277#3041C2212yescomplemented
278#3040C2212yescomplemented
279#3037C2211yescharacteristic, complemented
280#3036C2211yescharacteristic, complemented
281C2×#463C2211yescharacteristic
282C2×#463C2211yescharacteristic, complemented
283#3009C2212yes—
284#3008C2212yes—
285C2×#450C2211yescharacteristic
286C2×#447C2211yescharacteristic
287#2994C2212yescomplemented
288#2994C2212yescomplemented
289#2993C2212yescomplemented
290#2993C2212yescomplemented
291#2991C2212yescomplemented
292#2990C2212yescomplemented
293#2989C2212yescomplemented
294#2988C2212yescomplemented
295#2960C2211yescharacteristic, complemented
296#2960C2211yescharacteristic, complemented
297#2949C2212yes—
298#2948C2212yes—
299#2947C2212yescomplemented
300#2946C2212yescomplemented
301C2×C4×SD16C2211yescharacteristic
302C2×C4×SD16C2211yescharacteristic, complemented
303C2×C4×D8C2211yescharacteristic
304C2×C4×D8C2211yescharacteristic, complemented
305#2933C2212yescomplemented
306#2933C2212yescomplemented
307#2931C2211yescharacteristic, complemented
308#2931C2211yescharacteristic, complemented
309#2925C2212yescomplemented
310C2×#431C2211yescharacteristic, complemented
311#2913C2212yescomplemented
312#2912C2212yescomplemented
313C2×#428C2212yescomplemented
314#2906C2212yescomplemented
315C2×#423C2211yescharacteristic, complemented
316#2897C2212yes—
317#2897C2212yes—
318C2×#418C2212yes—
319C2×H(5,𝔽2)C2312yes—
320C22×#41—22no—
321C23×D4C2311yescharacteristic
322C24×C4—21no—
323C2×#137C2312yes—
324C2×AGL(1,ℤ/8)C2312yes—
325C22×SD16C2311yescharacteristic
326C22×SD16C2311yescharacteristic
327C22×D8C2311yescharacteristic
328C22×D8C2311yescharacteristic
329C2×#131C2312yes—
330C2×#131C2312yes—
331C22×M16C2312yes—
332#563—24no—
333#563—24no—
334#563—24no—
335#562—24no—
336#559—21no—
337#559—22no—
338#559—22no—
339#559—22no—
340#559—22no—
341#559C2314yes—
342Q82—21no—
343Q82C2312yescomplemented
344#557—21no—
345#557—21no—
346#557—22no—
347#557—22no—
348#557—22no—
349#557C2312yescomplemented
350#557C2314yescomplemented
351#556—21no—
352#556—21no—
353#556—24no—
354#556—22no—
355#556—22no—
356#556—22no—
357#556—24no—
358#556—22no—
359#556C2312yes—
360#556C2314yes—
361#556C2312yescomplemented
362#555—21no—
363#555C2312yes—
364#555C2314yes—
365#555C2312yescomplemented
366#554—21no—
367#554—21no—
368#554—22no—
369#554—22no—
370#554—22no—
371#554—24no—
372#554—22no—
373#554—24no—
374#554—22no—
375#554C2312yes—
376#554C2314yes—
377#554C2314yes—
378#554C2314yes—
379#554C2312yescomplemented
380#554C2314yescomplemented
381#554C2312yescomplemented
382#553—24no—
383#553—22no—
384#553—22no—
385#553—22no—
386#553—22no—
387#553—24no—
388#553C2314yes—
389#553C2314yes—
390#553C2314yes—
391#553C2314yes—
392#553C2314yescomplemented
393#552—24no—
394#552—22no—
395#552—24no—
396#552—22no—
397#552—22no—
398#552—22no—
399#552—24no—
400#552—24no—
401#552—24no—
402#552—22no—
403#552—24no—
404#552C2314yes—
405#552C2314yes—
406#552C2314yes—
407#552C2314yescomplemented
408#551—24no—
409#551—24no—
410#551—24no—
411#551—24no—
412#551—24no—
413#551—24no—
414#551—24no—
415#551—24no—
416#551—24no—
417#551—24no—
418#550—21no—
419#550—21no—
420#550C2312yes—
421D4×Q8—21no—
422D4×Q8—21no—
423D4×Q8—22no—
424D4×Q8C2312yes—
425D4×Q8C2312yescomplemented
426#548—22no—
427#548—22no—
428#548—22no—
429#548—22no—
430#547—22no—
431#547—24no—
432#547—21no—
433#547—21no—
434#547—22no—
435#547—22no—
436#547C2312yes—
437#547C2312yes—
438#547C2314yes—
439#547C2314yes—
440#547C2312yescomplemented
441#546—24no—
442#546—22no—
443#546—22no—
444#546—24no—
445#546—22no—
446#546—22no—
447#546—24no—
448#546—24no—
449#546—24no—
450#546—22no—
451#546C2314yes—
452#546C2314yes—
453#546C2314yes—
454D42—21no—
455D42—22no—
456D42—22no—
457D42C2314yes—
458D42C2312yes—
459D42C2314yes—
460#544—22no—
461#544—22no—
462#544C2312yes—
463#544C2312yes—
464#544C2312yes—
465#544C2314yescomplemented
466#544C2314yescomplemented
467#543—22no—
468#543—22no—
469#542—22no—
470#542—24no—
471#542—24no—
472#542—22no—
473#542—22no—
474#542—22no—
475#542—22no—
476#542—24no—
477#542C2314yes—
478#542C2314yescomplemented
479#542C2314yescomplemented
480#541—22no—
481#541—24no—
482#541—22no—
483#541—22no—
484#541—24no—
485#540—22no—
486#540—22no—
487#540C2314yes—
488#539—24no—
489#539—24no—
490#539—24no—
491#539—24no—
492#539—24no—
493#539—22no—
494#539—24no—
495#539—24no—
496#539—24no—
497#538—24no—
498#538—24no—
499#538—22no—
500#538—22no—
501#538—22no—
502#538—24no—
503#537C2312yes—
504#536—22no—
505#536—24no—
506#536C2312yes—
507#535C2312yes—
508#535C2312yes—
509#535C2312yes—
510#534—24no—
511#534—22no—
512#533—22no—
513#533—22no—
514#533—21no—
515#533—21no—
516#533—21no—
517#533—21no—
518#533D411yescharacteristic
519#533D411yescharacteristic
520#533C2311yescharacteristic
521#533C2311yescharacteristic
522#533C2312yes—
523#533C2311yescharacteristic
524#533C2311yescharacteristic
525#533C2311yescharacteristic
526#533C2311yescharacteristic
527#533C2312yes—
528#533C2311yescharacteristic
529#533C2311yescharacteristic
530#533C2314yescomplemented
531#532—22no—
532#532—22no—
533#532D411yescharacteristic
534#532D411yescharacteristic
535#532C2311yescharacteristic
536#532C2311yescharacteristic
537#532C2311yescharacteristic
538#532C2314yes—
539#532C2311yescharacteristic
540C2×C4⋊Q8C2311yescharacteristic
541C2×C4⋊Q8C2311yescharacteristic
542#529—22no—
543#529—22no—
544#529—22no—
545#529—24no—
546#529—22no—
547#529—24no—
548#529—21no—
549#529—21no—
550#529—21no—
551#529—21no—
552#529—21no—
553#529—21no—
554#529—21no—
555#529—21no—
556#529D412yes—
557#529D412yes—
558#529D412yes—
559#529D412yes—
560#529C2312yes—
561#529C2312yes—
562#529C2312yes—
563#529C2312yes—
564#529C2312yes—
565#529C2312yes—
566#529C2314yes—
567#529C2312yes—
568#529C2312yes—
569#529C2314yescomplemented
570#529C2314yescomplemented
571C2×#126—21no—
572C2×#125C2311yescharacteristic
573C2×#125C2312yes—
574C2×#125C2314yescomplemented
575C2×#124C2311yescharacteristic
576#525—22no—
577#525—21no—
578#525—21no—
579#525—24no—
580#525—22no—
581#525—22no—
582#525—22no—
583#525—22no—
584#525—22no—
585#525—24no—
586#525—24no—
587#525—24no—
588#525—24no—
589#525—22no—
590#525—24no—
591#525D412yes—
592#525D412yes—
593#525C2312yes—
594#525C2312yes—
595C2×#123—21no—
596C2×#123—24no—
597C2×C22⋊Q8—21no—
598C2×C22⋊Q8—21no—
599C2×C22⋊Q8—22no—
600C2×C22⋊Q8—22no—
601C2×C22⋊Q8—22no—
602C2×C22⋊Q8C2311yescharacteristic
603C2×#121—22no—
604C2×#121—22no—
605C2×#121C2311yescharacteristic
606C2×#120—24no—
607#520—22no—
608#520—22no—
609#520—24no—
610#520C2314yes—
611#520C2312yes—
612#520C2312yes—
613#520C2312yes—
614#520C2312yes—
615#519—22no—
616#519C2312yes—
617#518—24no—
618#518—22no—
619#518C2312yes—
620#518C2314yes—
621#518C2312yes—
622C4×#41—22no—
623C4×#41—21no—
624C4×#41—21no—
625C4×#41C2312yes—
626C4×#41C2314yes—
627C4×#41C2312yes—
628C4×#41C2312yes—
629C4×#41C2312yes—
630C2×C4×Q8—21no—
631C2×C4×Q8—21no—
632C2×C4×Q8C2311yescharacteristic
633C2×C4×D4—21no—
634C2×C4×D4—24no—
635C2×C4×D4—22no—
636C2×C4×D4—24no—
637C2×C4×D4—21no—
638C2×C4×D4—21no—
639C2×C4×D4—21no—
640C2×C4×D4—21no—
641C2×C4×D4—21no—
642C2×C4×D4—21no—
643C2×C4×D4C2311yescharacteristic
644C2×C4×D4C2312yes—
645C2×C4×D4C2311yescharacteristic
646C2×C4×D4C2314yes—
647C2×C4×D4C2311yescharacteristic
648C2×C4×D4C2312yes—
649C2×C4×D4C2312yes—
650C2×C4×D4C2311yescharacteristic
651C2×C4×D4C2311yescharacteristic
652C2×C4×D4C2312yes—
653C2×#117—22no—
654C2×#117—21no—
655C2×#117C2312yes—
656C22×C4⋊C4C2311yescharacteristic
657C22×C22⋊C4—21no—
658C22×C42C2311yescharacteristic
659#501C2314yescomplemented
660#501C2314yescomplemented
661#501C2314yescomplemented
662#501C2314yescomplemented
663#500C2311yescharacteristic, complemented
664#500C2314yescomplemented
665#500C2311yescharacteristic, complemented
666#500C2311yescharacteristic, complemented
667#500C2311yescharacteristic, complemented
668#499C2312yescomplemented
669#499C2314yescomplemented
670#499C2312yescomplemented
671#499C2314yescomplemented
672#499C2312yescomplemented
673#499C2312yescomplemented
674#498C2311yescharacteristic, complemented
675#498C2314yescomplemented
676#498C2311yescharacteristic, complemented
677#498C2311yescharacteristic, complemented
678#498C2311yescharacteristic, complemented
679#490C2314yes—
680#490C2314yes—
681#489C2314yes—
682#489C2314yes—
683#488C2314yes—
684#488C2314yes—
685#488C2312yescomplemented
686#488C2312yescomplemented
687#488C2312yescomplemented
688#488C2312yescomplemented
689#487C2311yescharacteristic, complemented
690#487C2311yescharacteristic, complemented
691#487C2311yescharacteristic, complemented
692#487C2311yescharacteristic, complemented
693#486C2314yes—
694#486C2314yes—
695#486C2311yescharacteristic, complemented
696#486C2311yescharacteristic, complemented
697#486C2311yescharacteristic, complemented
698#486C2311yescharacteristic, complemented
699#485C2312yes—
700#485C2312yes—
701#485C2312yes—
702#485C2312yes—
703#485C2314yescomplemented
704#485C2314yescomplemented
705#485C2314yescomplemented
706#485C2314yescomplemented
707#484C2312yes—
708#484C2312yes—
709#484C2312yes—
710#484C2312yes—
711#484C2312yes—
712#484C2312yes—
713#484C2314yescomplemented
714#484C2314yescomplemented
715#483C2312yes—
716#483C2312yes—
717#483C2314yescomplemented
718#483C2314yescomplemented
719#482C2314yes—
720#482C2314yes—
721#482C2314yes—
722#482C2314yes—
723#482C2312yes—
724#482C2312yes—
725#482C2312yes—
726#482C2312yes—
727#482C2314yescomplemented
728#482C2314yescomplemented
729#482C2314yescomplemented
730#482C2314yescomplemented
731#481C2312yes—
732#481C2314yes—
733#481C2312yes—
734#481C2314yes—
735#481C2312yes—
736#481C2312yes—
737#481C2312yes—
738#481C2312yes—
739#481C2314yescomplemented
740#481C2314yescomplemented
741#480C2314yes—
742#480C2312yes—
743#480C2314yes—
744#480C2312yes—
745#480C2314yescomplemented
746#480C2314yescomplemented
747#479C2312yescomplemented
748#479C2312yescomplemented
749#479C2314yescomplemented
750#479C2312yescomplemented
751#479C2312yescomplemented
752#479C2314yescomplemented
753#479C2314yescomplemented
754#479C2314yescomplemented
755#479C2314yescomplemented
756#479C2314yescomplemented
757#479C2314yescomplemented
758#478C2312yes—
759#478C2312yes—
760#478C2312yes—
761#478C2312yes—
762#478C2314yes—
763#478C2314yes—
764#478C2314yes—
765#478C2314yes—
766#478C2314yes—
767#478C2314yes—
768#478C2314yes—
769#478C2314yes—
770#478C2314yes—
771#478C2314yes—
772#478C2312yes—
773#478C2312yes—
774#478C2312yes—
775#478C2312yes—
776#478C2314yes—
777#478C2314yes—
778#478C2312yescomplemented
779#478C2314yescomplemented
780#478C2314yescomplemented
781#478C2314yescomplemented
782#478C2312yescomplemented
783#478C2312yescomplemented
784#478C2312yescomplemented
785#478C2314yescomplemented
786#478C2314yescomplemented
787#478C2314yescomplemented
788#478C2314yescomplemented
789#477C2314yescomplemented
790#477C2312yescomplemented
791#477C2312yescomplemented
792#477C2312yescomplemented
793#477C2314yescomplemented
794#476C2312yes—
795#476C2314yes—
796#476C2314yes—
797#476C2312yes—
798#476C2312yes—
799#476C2312yes—
800#476C2314yes—
801#476C2314yes—
802#476C2312yescomplemented
803#476C2312yescomplemented
804#476C2314yescomplemented
805#476C2312yescomplemented
806#476C2314yescomplemented
807#475C2314yescomplemented
808#475C2312yescomplemented
809#475C2312yescomplemented
810#475C2312yescomplemented
811#475C2314yescomplemented
812#474C2312yes—
813#474C2314yes—
814#474C2314yes—
815#474C2312yes—
816#474C2312yes—
817#474C2312yes—
818#474C2314yes—
819#474C2314yes—
820#474C2312yescomplemented
821#474C2312yescomplemented
822#474C2312yescomplemented
823#474C2314yescomplemented
824#474C2314yescomplemented
825#470C2314yes—
826#470C2314yescomplemented
827#469C2314yes—
828#469C2314yes—
829#469C2314yes—
830#469C2314yescomplemented
831#468C2314yes—
832#468C2314yes—
833#468C2314yes—
834#468C2314yes—
835#468C2314yescomplemented
836#468C2314yescomplemented
837#467C2314yes—
838#467C2314yescomplemented
839#466C2314yes—
840#466C2314yes—
841#466C2314yes—
842#466C2314yescomplemented
843#465C2314yes—
844#465C2314yes—
845#465C2314yes—
846#465C2314yes—
847#465C2314yescomplemented
848#465C2314yescomplemented
849#464C2314yes—
850#464C2314yes—
851#464C2314yescomplemented
852#464C2314yescomplemented
853#464C2314yescomplemented
854#463C2312yes—
855#463C2314yes—
856#463C2312yes—
857#463C2312yes—
858#463C2312yes—
859#463C2312yes—
860#463C2312yes—
861#463C2312yes—
862#463C2312yes—
863#463C2314yes—
864#463C2314yescomplemented
865#463C2314yescomplemented
866#463C2314yescomplemented
867#462C2312yescomplemented
868#461C2312yescomplemented
869#460C2314yes—
870#460C2314yes—
871#460C2312yescomplemented
872#459C2314yes—
873#459C2314yes—
874#459C2312yescomplemented
875#452C2314yes—
876#452C2314yes—
877#450C2312yes—
878#450C2312yes—
879#450C2312yes—
880#450C2312yes—
881#450C2314yes—
882#450C2314yes—
883#449C2314yes—
884#449C2314yes—
885#447C2312yes—
886#447C2312yes—
887#447C2312yes—
888#447C2312yes—
889#447C2314yes—
890#447C2314yes—
891#446C2312yescomplemented
892#446C2312yescomplemented
893#446C2312yescomplemented
894#446C2312yescomplemented
895C8×Q8C2312yescomplemented
896C8×Q8C2312yescomplemented
897C8×Q8C2312yescomplemented
898C8×Q8C2312yescomplemented
899#442C2314yes—
900#442C2314yes—
901#442C2314yescomplemented
902#441C2314yescomplemented
903#440C2314yes—
904#440C2314yes—
905#440C2314yescomplemented
906#440C2314yescomplemented
907C4×Q16C2314yescomplemented
908C4×SD16C2312yes—
909C4×SD16C2312yes—
910C4×SD16C2312yes—
911C4×SD16C2312yes—
912C4×SD16C2312yes—
913C4×SD16C2314yes—
914C4×SD16C2312yes—
915C4×SD16C2312yes—
916C4×SD16C2312yes—
917C4×SD16C2314yes—
918C4×SD16C2314yescomplemented
919C4×SD16C2314yescomplemented
920C4×D8C2312yes—
921C4×D8C2312yes—
922C4×D8C2312yes—
923C4×D8C2312yes—
924C4×D8C2312yes—
925C4×D8C2314yes—
926C4×D8C2312yes—
927C4×D8C2312yes—
928C4×D8C2312yes—
929C4×D8C2314yes—
930C4×D8C2314yescomplemented
931#436C2314yes—
932#436C2314yes—
933#436C2312yescomplemented
934#436C2312yescomplemented
935#436C2312yescomplemented
936#436C2312yescomplemented
937#435C2314yes—
938#435C2314yes—
939#435C2314yes—
940#435C2314yes—
941C8×D4C2314yes—
942C8×D4C2314yes—
943C8×D4C2312yescomplemented
944C8×D4C2312yescomplemented
945C8×D4C2312yescomplemented
946C8×D4C2312yescomplemented
947#433C2314yescomplemented
948#433C2314yescomplemented
949#432C2314yescomplemented
950#431C2311yescharacteristic
951#431C2311yescharacteristic
952#431C2311yescharacteristic
953#431C2311yescharacteristic
954#431C2311yescharacteristic
955#431C2311yescharacteristic
956#431C2311yescharacteristic
957#431C2311yescharacteristic
958#431C2314yescomplemented
959#428C2312yes—
960#428C2312yes—
961#428C2312yes—
962#428C2312yes—
963#428C2314yes—
964#428C2314yes—
965#428C2312yes—
966#428C2312yes—
967#428C2314yescomplemented
968#428C2314yescomplemented
969#428C2314yescomplemented
970#428C2314yescomplemented
971#427C2312yes—
972#427C2312yes—
973#427C2312yes—
974#427C2312yes—
975#427C2314yescomplemented
976#427C2314yescomplemented
977C2×#107C2311yescharacteristic
978C2×#107C2314yes—
979C2×#107C2311yescharacteristic
980C2×#107C2314yescomplemented
981C2×#106C2311yescharacteristic
982C2×#106C2314yes—
983C2×#106C2311yescharacteristic
984C2×#106C2314yescomplemented
985#424C2312yes—
986#424C2312yes—
987#424C2314yescomplemented
988#424C2314yescomplemented
989#423C2311yescharacteristic
990#423C2311yescharacteristic
991#423C2312yes—
992#423C2312yes—
993#423C2312yes—
994#423C2314yescomplemented
995C2×C4⋊C8C2311yescharacteristic
996C2×C4⋊C8C2312yes—
997C2×C4⋊C8C2311yescharacteristic
998C2×C4⋊C8C2312yes—
999C2×C4⋊C8C2314yescomplemented
1000#419C2312yes—
1001#418C2312yes—
1002#418C2312yes—
1003#418C2312yes—
1004#418C2312yes—
1005#418C2314yes—
1006#418C2314yes—
1007#418C2312yes—
1008#418C2314yes—
1009#418C2314yes—
1010#417C2314yes—
1011#417C2314yes—
1012#417C2312yes—
1013#417C2312yes—
1014#416C2312yes—
1015#416C2314yes—
1016#416C2312yes—
1017#416C2314yes—
1018#416C2312yes—
1019#416C2312yes—
1020C2×#103C2311yescharacteristic
1021C2×#103C2311yescharacteristic
1022C2×#102C2311yescharacteristic
1023C2×#102C2311yescharacteristic
1024C2×#102C2314yes—
1025C2×#102C2314yes—
1026C2×#102C2311yescharacteristic
1027C2×#102C2311yescharacteristic
1028C2×#102C2314yes—
1029C2×#102C2314yes—
1030C2×#102C2311yescharacteristic
1031C2×#102C2311yescharacteristic
1032#408C2312yes—
1033#408C2312yes—
1034C2×C22⋊C8C2311yescharacteristic
1035C2×C22⋊C8C2311yescharacteristic
1036#405C2312yes—
1037#405C2312yes—
1038C2×C4×C8C2311yescharacteristic
1039C2×C4×C8C2311yescharacteristic
1040C25—21no—
1041H(5,𝔽2)—28no—
1042H(5,𝔽2)—44no—
1043C2×#41—22no—
1044C2×#41—22no—
1045C2×#41—22no—
1046C2×#41—24no—
1047C2×#41—24no—
1048C2×#41—22no—
1049C2×#41—21no—
1050C2×#41—21no—
1051C2×#41—24no—
1052C2×#41—88no—
1053C2×#41C2×D412yes—
1054C2×#41C2×D412yes—
1055C2×#41C2412yes—
1056C2×#41C2414yes—
1057C2×#41C2412yes—
1058C22×Q8—22no—
1059C22×Q8—22no—
1060C22×Q8—21no—
1061C22×Q8—21no—
1062C22×Q8C2411yescharacteristic
1063C22×D4—24no—
1064C22×D4—21no—
1065C22×D4—24no—
1066C22×D4—22no—
1067C22×D4—24no—
1068C22×D4—24no—
1069C22×D4—22no—
1070C22×D4—21no—
1071C22×D4—21no—
1072C22×D4—21no—
1073C22×D4—42no—
1074C22×D4C2411yescharacteristic
1075C22×D4C2411yescharacteristic
1076C22×D4C2412yes—
1077C22×D4C2412yes—
1078C22×D4C2414yes—
1079C22×D4C2411yescharacteristic
1080C23×C4—21no—
1081C23×C4—22no—
1082C23×C4—21no—
1083C23×C4—21no—
1084C23×C4—22no—
1085C23×C4—24no—
1086C23×C4—21no—
1087C23×C4—22no—
1088C23×C4—22no—
1089C23×C4—21no—
1090C23×C4—21no—
1091C23×C4—84no—
1092C23×C4C2×D411yescharacteristic
1093C23×C4C2×D411yescharacteristic
1094C23×C4C2411yescharacteristic
1095#137—44no—
1096AGL(1,ℤ/8)—44no—
1097C2×Q16C2414yes—
1098C2×SD16—24no—
1099C2×SD16—42no—
1100C2×SD16C2412yes—
1101C2×SD16C2412yes—
1102C2×SD16C2412yes—
1103C2×SD16C2412yes—
1104C2×SD16C2414yes—
1105C2×SD16C2414yes—
1106C2×D8—24no—
1107C2×D8—42no—
1108C2×D8C2412yes—
1109C2×D8C2412yes—
1110C2×D8C2412yes—
1111C2×D8C2412yes—
1112C2×D8C2414yes—
1113#131—44no—
1114#131—44no—
1115C2×M16—44no—
1116C2×M16C2412yes—
1117C2×M16C2412yes—
1118C2×M16C2414yes—
1119C2×M16C2414yes—
1120C2×M16C2414yes—
1121C22×C8C2411yescharacteristic
1122C22×C8C2411yescharacteristic
1123C22×C8C2411yescharacteristic
1124C22×C8C2411yescharacteristic
1125C22×C8C2414yes—
1126C22×C8C2414yes—
1127C22×C8C2414yes—
1128C4⋊Q8—22no—
1129C4⋊Q8—22no—
1130C4⋊Q8—24no—
1131C4⋊Q8—22no—
1132C4⋊Q8—22no—
1133C4⋊Q8—22no—
1134C4⋊Q8—22no—
1135C4⋊Q8—24no—
1136C4⋊Q8—24no—
1137C4⋊Q8—24no—
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8—21no—
1141C4⋊Q8—21no—
1142C4⋊Q8C2×D411yescharacteristic
1143C4⋊Q8C2×D411yescharacteristic
1144C4⋊Q8C2×D411yescharacteristic
1145C4⋊Q8C2411yescharacteristic
1146C4⋊Q8C2412yes—
1147C4⋊Q8C2412yes—
1148C4⋊Q8C2411yescharacteristic
1149C4⋊Q8C2411yescharacteristic
1150C4⋊Q8C2411yescharacteristic
1151C4⋊Q8C2411yescharacteristic
1152C4⋊Q8C2411yescharacteristic
1153C4⋊Q8C2411yescharacteristic
1154C4⋊Q8C2414yes—
1155C4⋊Q8C2414yes—
1156C4⋊Q8C2414yes—
1157#127—22no—
1158#127—22no—
1159#127C2×D411yescharacteristic
1160#127C2411yescharacteristic
1161#127C2414yes—
1162#126—24no—
1163#126—24no—
1164#126—24no—
1165#126—24no—
1166#126—24no—
1167#126—24no—
1168#126—24no—
1169#126—24no—
1170#126—24no—
1171#126—24no—
1172#126—24no—
1173#126—24no—
1174#126—24no—
1175#126—24no—
1176#126—24no—
1177#126—24no—
1178#126—22no—
1179#126—22no—
1180#126—22no—
1181#126—22no—
1182#126—22no—
1183#126—22no—
1184#126—24no—
1185#126—24no—
1186#126—24no—
1187#126C2×D414yes—
1188#126C2×D414yes—
1189#125—24no—
1190#125—24no—
1191#125—22no—
1192#125—22no—
1193#125—22no—
1194#125—22no—
1195#125—24no—
1196#125—24no—
1197#125—24no—
1198#125—24no—
1199#125—24no—
1200#125—24no—
1201#125—24no—
1202#125—24no—
1203#125—24no—
1204#125—21no—
1205#125—21no—
1206#125—22no—
1207#125—22no—
1208#125—24no—
1209#125—24no—
1210#125—21no—
1211#125—21no—
1212#125C2×D412yes—
1213#125C2×D412yes—
1214#125C2×D412yes—
1215#125C2412yes—
1216#125C2412yes—
1217#125C2412yes—
1218#125C2412yes—
1219#125C2412yes—
1220#125C2412yes—
1221#125C2414yes—
1222#125C2414yes—
1223#125C2412yes—
1224#125C2414yes—
1225#124—22no—
1226#124—22no—
1227#124—24no—
1228#124—22no—
1229#124—22no—
1230#124—24no—
1231#124—24no—
1232#124—24no—
1233#124—24no—
1234#124—24no—
1235#124—24no—
1236#124—24no—
1237#124—24no—
1238#124—21no—
1239#124—21no—
1240#124—21no—
1241#124—21no—
1242#124—24no—
1243#124C2×D412yes—
1244#124C2×D412yes—
1245#124C2×D412yes—
1246#124C2412yes—
1247#124C2412yes—
1248#124C2412yes—
1249#124C2414yes—
1250#123—24no—
1251#123—24no—
1252#123—24no—
1253#123—24no—
1254#123—24no—
1255#123—22no—
1256#123—22no—
1257#123—22no—
1258#123—22no—
1259#123—22no—
1260#123—22no—
1261#123—22no—
1262#123—24no—
1263#123—24no—
1264#123—24no—
1265#123—24no—
1266#123—24no—
1267#123—24no—
1268#123—24no—
1269#123—24no—
1270#123—24no—
1271#123—24no—
1272#123—24no—
1273#123—24no—
1274#123—24no—
1275#123—24no—
1276#123—24no—
1277#123—24no—
1278#123—24no—
1279#123—24no—
1280#123—24no—
1281#123—24no—
1282#123—24no—
1283#123—24no—
1284#123—24no—
1285#123—24no—
1286#123—24no—
1287#123C2×D414yes—
1288#123C2×D414yes—
1289#123C2×D414yes—
1290C22⋊Q8—22no—
1291C22⋊Q8—22no—
1292C22⋊Q8—22no—
1293C22⋊Q8—22no—
1294C22⋊Q8—24no—
1295C22⋊Q8—24no—
1296C22⋊Q8—21no—
1297C22⋊Q8—21no—
1298C22⋊Q8—21no—
1299C22⋊Q8—21no—
1300C22⋊Q8—21no—
1301C22⋊Q8—21no—
1302C22⋊Q8—22no—
1303C22⋊Q8—21no—
1304C22⋊Q8—21no—
1305C22⋊Q8—21no—
1306C22⋊Q8—21no—
1307C22⋊Q8—22no—
1308C22⋊Q8—22no—
1309C22⋊Q8—22no—
1310C22⋊Q8—21no—
1311C22⋊Q8—21no—
1312C22⋊Q8—21no—
1313C22⋊Q8—21no—
1314C22⋊Q8—24no—
1315C22⋊Q8—24no—
1316C22⋊Q8—24no—
1317C22⋊Q8—22no—
1318C22⋊Q8—22no—
1319C22⋊Q8—24no—
1320C22⋊Q8—24no—
1321C22⋊Q8—22no—
1322C22⋊Q8—24no—
1323C22⋊Q8—24no—
1324C22⋊Q8—24no—
1325C22⋊Q8—22no—
1326C22⋊Q8—24no—
1327C22⋊Q8—24no—
1328C22⋊Q8—24no—
1329C22⋊Q8—24no—
1330C22⋊Q8—24no—
1331C22⋊Q8—24no—
1332C22⋊Q8—24no—
1333C22⋊Q8—24no—
1334C22⋊Q8—24no—
1335C22⋊Q8—24no—
1336C22⋊Q8—24no—
1337C22⋊Q8—24no—
1338C22⋊Q8—24no—
1339C22⋊Q8—24no—
1340C22⋊Q8—24no—
1341C22⋊Q8—24no—
1342C22⋊Q8—24no—
1343C22⋊Q8—24no—
1344C22⋊Q8—24no—
1345C22⋊Q8C2×D412yes—
1346C22⋊Q8C2×D412yes—
1347C22⋊Q8C2×D412yes—
1348C22⋊Q8C2×D412yes—
1349C22⋊Q8C2×D412yes—
1350C22⋊Q8C2×D412yes—
1351C22⋊Q8C2412yes—
1352C22⋊Q8C2412yes—
1353C22⋊Q8C2412yes—
1354C22⋊Q8C2412yes—
1355C22⋊Q8C2414yes—
1356C22⋊Q8C2414yes—
1357C22⋊Q8C2414yes—
1358#121—24no—
1359#121—22no—
1360#121—24no—
1361#121—22no—
1362#121—24no—
1363#121—22no—
1364#121—22no—
1365#121—24no—
1366#121—24no—
1367#121—24no—
1368#121—24no—
1369#121—21no—
1370#121—21no—
1371#121—21no—
1372#121—21no—
1373#121—21no—
1374#121—21no—
1375#121—24no—
1376#121—22no—
1377#121—22no—
1378#121—24no—
1379#121—24no—
1380#121—24no—
1381#121—22no—
1382#121—22no—
1383#121—24no—
1384#121—24no—
1385#121—24no—
1386#121—24no—
1387#121—24no—
1388#121C2×D412yes—
1389#121C2×D412yes—
1390#121C2×D412yes—
1391#121C2×D412yes—
1392#121C2×D412yes—
1393#121C2×D412yes—
1394#121C2412yes—
1395#121C2412yes—
1396#121C2412yes—
1397#121C2412yes—
1398#121C2414yes—
1399#121C2414yes—
1400#121C2414yes—
1401#121C2414yes—
1402#121C2414yes—
1403#120—22no—
1404#120—24no—
1405#120—24no—
1406#120—24no—
1407#120—24no—
1408#120—24no—
1409#120—24no—
1410#120—24no—
1411#120—24no—
1412#120—24no—
1413#120—24no—
1414#120—24no—
1415#120C2×D414yes—
1416C4×Q8—22no—
1417C4×Q8—22no—
1418C4×Q8—22no—
1419C4×Q8—22no—
1420C4×Q8—22no—
1421C4×Q8—24no—
1422C4×Q8—22no—
1423C4×Q8—22no—
1424C4×Q8—22no—
1425C4×Q8—24no—
1426C4×Q8—21no—
1427C4×Q8—21no—
1428C4×Q8—22no—
1429C4×Q8—21no—
1430C4×Q8—21no—
1431C4×Q8—21no—
1432C4×Q8—22no—
1433C4×Q8—21no—
1434C4×Q8—22no—
1435C4×Q8—22no—
1436C4×Q8—21no—
1437C4×Q8—21no—
1438C4×Q8—21no—
1439C4×Q8—21no—
1440C4×Q8—21no—
1441C4×Q8—21no—
1442C4×Q8—21no—
1443C4×Q8—21no—
1444C4×Q8—24no—
1445C4×Q8—24no—
1446C4×Q8C2×D412yes—
1447C4×Q8C2×D412yes—
1448C4×Q8C2×D412yes—
1449C4×Q8C2×D412yes—
1450C4×Q8C2412yes—
1451C4×Q8C2412yes—
1452C4×Q8C2412yes—
1453C4×Q8C2412yes—
1454C4×Q8C2414yes—
1455C4×Q8C2414yes—
1456C4×Q8C2414yes—
1457C4×Q8C2412yes—
1458C4×Q8C2412yes—
1459C4×D4—24no—
1460C4×D4—22no—
1461C4×D4—24no—
1462C4×D4—24no—
1463C4×D4—22no—
1464C4×D4—24no—
1465C4×D4—24no—
1466C4×D4—22no—
1467C4×D4—22no—
1468C4×D4—22no—
1469C4×D4—22no—
1470C4×D4—24no—
1471C4×D4—22no—
1472C4×D4—24no—
1473C4×D4—22no—
1474C4×D4—22no—
1475C4×D4—22no—
1476C4×D4—22no—
1477C4×D4—22no—
1478C4×D4—22no—
1479C4×D4—22no—
1480C4×D4—24no—
1481C4×D4—24no—
1482C4×D4—24no—
1483C4×D4—24no—
1484C4×D4—22no—
1485C4×D4—24no—
1486C4×D4—22no—
1487C4×D4—24no—
1488C4×D4—22no—
1489C4×D4—22no—
1490C4×D4—24no—
1491C4×D4—24no—
1492C4×D4—24no—
1493C4×D4—24no—
1494C4×D4—24no—
1495C4×D4—24no—
1496C4×D4—24no—
1497C4×D4—24no—
1498C4×D4—21no—
1499C4×D4—21no—
1500C4×D4—22no—
1501C4×D4—22no—
1502C4×D4—21no—
1503C4×D4—22no—
1504C4×D4—22no—
1505C4×D4—21no—
1506C4×D4—21no—
1507C4×D4—21no—
1508C4×D4—22no—
1509C4×D4—22no—
1510C4×D4—21no—
1511C4×D4—22no—
1512C4×D4—22no—
1513C4×D4—21no—
1514C4×D4—24no—
1515C4×D4—24no—
1516C4×D4—24no—
1517C4×D4—21no—
1518C4×D4—21no—
1519C4×D4—21no—
1520C4×D4—21no—
1521C4×D4—21no—
1522C4×D4—21no—
1523C4×D4C2×D414yes—
1524C4×D4C2×D414yes—
1525C4×D4C2×D412yes—
1526C4×D4C2×D414yes—
1527C4×D4C2×D412yes—
1528C4×D4C2×D412yes—
1529C4×D4C2×D412yes—
1530C4×D4C2×D414yes—
1531C4×D4C2412yes—
1532C4×D4C2412yes—
1533C4×D4C2412yes—
1534C4×D4C2412yes—
1535C4×D4C2412yes—
1536C4×D4C2412yes—
1537C4×D4C2412yes—
1538C4×D4C2412yes—
1539C4×D4C2412yes—
1540C4×D4C2414yes—
1541C4×D4C2414yes—
1542C4×D4C2412yes—
1543C4×D4C2412yes—
1544C4×D4C2412yes—
1545C4×D4C2414yes—
1546C4×D4C2414yes—
1547C4×D4C2414yes—
1548C4×D4C2414yes—
1549C4×D4C2414yes—
1550C4×D4C2412yes—
1551C4×D4C2412yes—
1552#117—21no—
1553#117—22no—
1554#117—22no—
1555#117—21no—
1556#117—22no—
1557#117—22no—
1558#117—24no—
1559#117—22no—
1560#117—22no—
1561#117—24no—
1562#117—24no—
1563#117—24no—
1564#117—24no—
1565#117—24no—
1566#117—24no—
1567#117—22no—
1568#117—24no—
1569#117—22no—
1570#117—22no—
1571#117—22no—
1572#117—22no—
1573#117—22no—
1574#117—22no—
1575#117—24no—
1576#117—24no—
1577#117—24no—
1578#117C2×D412yes—
1579#117C2×D414yes—
1580#117C2×D412yes—
1581#117C2×D414yes—
1582#117C2412yes—
1583#117C2412yes—
1584#117C2412yes—
1585#117C2412yes—
1586#117C2412yes—
1587#117C2414yes—
1588#117C2414yes—
1589#117C2414yes—
1590#117C2412yes—
1591#117C2414yes—
1592C2×C4⋊C4—21no—
1593C2×C4⋊C4—21no—
1594C2×C4⋊C4—21no—
1595C2×C4⋊C4—21no—
1596C2×C4⋊C4—21no—
1597C2×C4⋊C4—21no—
1598C2×C4⋊C4—22no—
1599C2×C4⋊C4—22no—
1600C2×C4⋊C4—21no—
1601C2×C4⋊C4—21no—
1602C2×C4⋊C4—21no—
1603C2×C4⋊C4—24no—
1604C2×C4⋊C4—24no—
1605C2×C4⋊C4—22no—
1606C2×C4⋊C4—22no—
1607C2×C4⋊C4—24no—
1608C2×C4⋊C4—22no—
1609C2×C4⋊C4—24no—
1610C2×C4⋊C4—24no—
1611C2×C4⋊C4—22no—
1612C2×C4⋊C4C2411yescharacteristic
1613C2×C4⋊C4C2411yescharacteristic
1614C2×C4⋊C4C2412yes—
1615C2×C4⋊C4C2412yes—
1616C2×C4⋊C4C2412yes—
1617C2×C4⋊C4C2412yes—
1618C2×C4⋊C4C2411yescharacteristic
1619C2×C4⋊C4C2414yes—
1620C2×C4⋊C4C2411yescharacteristic
1621C2×C4⋊C4C2414yes—
1622C2×C4⋊C4C2414yes—
1623C2×C22⋊C4—22no—
1624C2×C22⋊C4—21no—
1625C2×C22⋊C4—21no—
1626C2×C22⋊C4—21no—
1627C2×C22⋊C4—21no—
1628C2×C22⋊C4—21no—
1629C2×C22⋊C4—22no—
1630C2×C22⋊C4—22no—
1631C2×C22⋊C4—22no—
1632C2×C22⋊C4—22no—
1633C2×C22⋊C4—21no—
1634C2×C22⋊C4—21no—
1635C2×C22⋊C4—21no—
1636C2×C22⋊C4—24no—
1637C2×C22⋊C4—21no—
1638C2×C22⋊C4—24no—
1639C2×C22⋊C4—24no—
1640C2×C22⋊C4—24no—
1641C2×C22⋊C4—24no—
1642C2×C22⋊C4—24no—
1643C2×C22⋊C4—24no—
1644C2×C22⋊C4—24no—
1645C2×C42—21no—
1646C2×C42—22no—
1647C2×C42—24no—
1648C2×C42—22no—
1649C2×C42C2×D411yescharacteristic
1650C2×C42C2×D411yescharacteristic
1651C2×C42C2×D411yescharacteristic
1652C2×C42C2×D411yescharacteristic
1653C2×C42C2×D411yescharacteristic
1654C2×C42C2×D411yescharacteristic
1655C2×C42C2411yescharacteristic
1656C2×C42C2411yescharacteristic
1657C2×C42C2411yescharacteristic
1658C2×C42C2411yescharacteristic
1659C2×C42C2411yescharacteristic
1660C2×C42C2411yescharacteristic
1661C2×C42C2414yes—
1662#107C2412yes—
1663#107C2414yes—
1664#107C2414yes—
1665#107C2414yes—
1666#107C2414yes—
1667#107C2412yes—
1668#107C2412yes—
1669#107C2412yes—
1670#107C2412yes—
1671#107C2414yes—
1672#107C2412yes—
1673#107C2412yes—
1674#107C2412yes—
1675#107C2412yes—
1676#107C2412yes—
1677#107C2412yes—
1678#107C2412yes—
1679#107C2414yes—
1680#106C2412yes—
1681#106C2414yes—
1682#106C2414yes—
1683#106C2414yes—
1684#106C2414yes—
1685#106C2412yes—
1686#106C2412yes—
1687#106C2412yes—
1688#106C2412yes—
1689#106C2414yes—
1690#106C2412yes—
1691#106C2412yes—
1692#106C2412yes—
1693#106C2412yes—
1694#106C2412yes—
1695#106C2412yes—
1696#106C2412yes—
1697#106C2414yes—
1698C4⋊C8C2411yescharacteristic
1699C4⋊C8C2414yes—
1700C4⋊C8C2414yes—
1701C4⋊C8C2412yes—
1702C4⋊C8C2412yes—
1703C4⋊C8C2412yes—
1704C4⋊C8C2412yes—
1705C4⋊C8C2411yescharacteristic
1706C4⋊C8C2411yescharacteristic
1707C4⋊C8C2411yescharacteristic
1708C4⋊C8C2411yescharacteristic
1709C4⋊C8C2411yescharacteristic
1710C4⋊C8C2411yescharacteristic
1711C4⋊C8C2411yescharacteristic
1712C4⋊C8C2414yes—
1713C4⋊C8C2414yes—
1714C4⋊C8C2414yes—
1715C4⋊C8C2414yes—
1716#103C2412yes—
1717#103C2412yes—
1718#103C2412yes—
1719#103C2412yes—
1720#103C2412yes—
1721#103C2412yes—
1722#103C2414yes—
1723#103C2414yes—
1724#103C2412yes—
1725#103C2412yes—
1726#103C2412yes—
1727#103C2412yes—
1728#103C2412yes—
1729#103C2412yes—
1730#103C2414yes—
1731#103C2414yes—
1732#102C2412yes—
1733#102C2412yes—
1734#102C2412yes—
1735#102C2412yes—
1736#102C2414yes—
1737#102C2414yes—
1738#102C2414yes—
1739#102C2414yes—
1740#102C2412yes—
1741#102C2412yes—
1742#102C2414yes—
1743#102C2414yes—
1744#102C2414yes—
1745#102C2414yes—
1746#102C2414yes—
1747#102C2414yes—
1748#102C2412yes—
1749#102C2412yes—
1750#102C2412yes—
1751#102C2412yes—
1752#102C2412yes—
1753#102C2412yes—
1754#102C2412yes—
1755#102C2412yes—
1756#102C2412yes—
1757#102C2412yes—
1758#102C2412yes—
1759#102C2412yes—
1760#102C2412yes—
1761#102C2412yes—
1762#102C2414yes—
1763#102C2414yes—
1764C22⋊C8C2411yescharacteristic
1765C22⋊C8C2411yescharacteristic
1766C22⋊C8C2411yescharacteristic
1767C22⋊C8C2411yescharacteristic
1768C22⋊C8C2411yescharacteristic
1769C22⋊C8C2411yescharacteristic
1770C22⋊C8C2411yescharacteristic
1771C22⋊C8C2411yescharacteristic
1772C22⋊C8C2414yes—
1773C22⋊C8C2414yes—
1774C22⋊C8C2414yes—
1775C22⋊C8C2414yes—
1776#97C2414yes—
1777#97C2414yes—
1778C4×C8C2411yescharacteristic
1779C4×C8C2411yescharacteristic
1780C4×C8C2411yescharacteristic
1781C4×C8C2411yescharacteristic
1782C4×C8C2411yescharacteristic
1783C4×C8C2411yescharacteristic
1784C4×C8C2411yescharacteristic
1785C4×C8C2411yescharacteristic
1786C4×C8C2414yes—
1787C4×C8C2414yes—
1788C24—21no—
1789C24—22no—
1790C24—22no—
1791C24—21no—
1792C24—24no—
1793C24—21no—
1794C24—44no—
1795C24—82no—
1796C24—82no—
1797C24C22×D411yescharacteristic
1798#41—24no—
1799#41—24no—
1800#41—28no—
1801#41—24no—
1802#41—24no—
1803#41—44no—
1804#41—44no—
1805#41—44no—
1806#41—44no—
1807#41—48no—
1808#41—82no—
1809#41—88no—
1810#41—88no—
1811#41—84no—
1812#41—84no—
1813#41—88no—
1814#41—84no—
1815C2×Q8—21no—
1816C2×Q8—21no—
1817C2×Q8—21no—
1818C2×Q8—21no—
1819C2×Q8—21no—
1820C2×Q8—24no—
1821C2×Q8—21no—
1822C2×Q8—22no—
1823C2×Q8—22no—
1824C2×Q8—24no—
1825C2×Q8—21no—
1826C2×Q8—24no—
1827C2×Q8—22no—
1828C2×Q8—22no—
1829C2×Q8—82no—
1830C2×Q8—82no—
1831C2×Q8—84no—
1832C2×Q8—84no—
1833C2×Q8C22×D412yes—
1834C2×Q8C22×D412yes—
1835C2×Q8C22×D412yes—
1836C2×Q8C2512yes—
1837C2×Q8C2512yes—
1838C2×D4—24no—
1839C2×D4—24no—
1840C2×D4—28no—
1841C2×D4—24no—
1842C2×D4—22no—
1843C2×D4—22no—
1844C2×D4—22no—
1845C2×D4—22no—
1846C2×D4—24no—
1847C2×D4—24no—
1848C2×D4—24no—
1849C2×D4—22no—
1850C2×D4—24no—
1851C2×D4—24no—
1852C2×D4—21no—
1853C2×D4—21no—
1854C2×D4—24no—
1855C2×D4—22no—
1856C2×D4—22no—
1857C2×D4—21no—
1858C2×D4—21no—
1859C2×D4—21no—
1860C2×D4—24no—
1861C2×D4—24no—
1862C2×D4—22no—
1863C2×D4—22no—
1864C2×D4—22no—
1865C2×D4—22no—
1866C2×D4—22no—
1867C2×D4—42no—
1868C2×D4—42no—
1869C2×D4—44no—
1870C2×D4—44no—
1871C2×D4—44no—
1872C2×D4—44no—
1873C2×D4—48no—
1874C2×D4—416no—
1875C2×D4—84no—
1876C2×D4—88no—
1877C2×D4—82no—
1878C2×D4—88no—
1879C2×D4C22×D414yes—
1880C2×D4C22×D412yes—
1881C2×D4C22×D414yes—
1882C2×D4C22×D412yes—
1883C2×D4C22×D412yes—
1884C2×D4C22×D414yes—
1885C2×D42−1+414yes—
1886C2×D4C2512yes—
1887C2×D4C2512yes—
1888C2×D4C2512yes—
1889C2×D4C2512yes—
1890C22×C4—22no—
1891C22×C4—22no—
1892C22×C4—21no—
1893C22×C4—22no—
1894C22×C4—22no—
1895C22×C4—22no—
1896C22×C4—21no—
1897C22×C4—21no—
1898C22×C4—21no—
1899C22×C4—22no—
1900C22×C4—21no—
1901C22×C4—24no—
1902C22×C4—24no—
1903C22×C4—24no—
1904C22×C4—22no—
1905C22×C4—24no—
1906C22×C4—22no—
1907C22×C4—22no—
1908C22×C4—22no—
1909C22×C4—22no—
1910C22×C4—22no—
1911C22×C4—22no—
1912C22×C4—24no—
1913C22×C4—22no—
1914C22×C4—22no—
1915C22×C4—22no—
1916C22×C4—24no—
1917C22×C4—24no—
1918C22×C4—24no—
1919C22×C4—24no—
1920C22×C4—22no—
1921C22×C4—22no—
1922C22×C4—22no—
1923C22×C4—42no—
1924C22×C4—42no—
1925C22×C4—48no—
1926C22×C4—82no—
1927C22×C4—82no—
1928C22×C4—82no—
1929C22×C4—84no—
1930C22×C4—82no—
1931C22×C4—84no—
1932C22×C4—82no—
1933C22×C4—88no—
1934C22×C4—84no—
1935C22×C4—82no—
1936C22×C4C22×D411yescharacteristic
1937C22×C4C22×D411yescharacteristic
1938C22×C4C22×D411yescharacteristic
1939C22×C4C22×D411yescharacteristic
1940C22×C4C22×D411yescharacteristic
1941C22×C4C22×D411yescharacteristic
1942C22×C4C22×D411yescharacteristic
1943C22×C4C22×D411yescharacteristic
1944C22×C4C22×D411yescharacteristic
1945C22×C4C22×D411yescharacteristic
1946C22×C4C22×D411yescharacteristic
1947C22×C4C22×D411yescharacteristic
1948C22×C4C22×D411yescharacteristic
1949C22×C4C22×D411yescharacteristic
1950C22×C4C22×D411yescharacteristic
1951C22×C4C22×D414yes—
1952C22×C4C22×D414yes—
1953C22×C4C2511yescharacteristic
1954C22×C4C2511yescharacteristic
1955C22×C4C2514yes—
1956C22×C4C2511yescharacteristic
1957Q16—44no—
1958SD16—24no—
1959SD16—24no—
1960SD16—42no—
1961SD16—42no—
1962SD16—44no—
1963SD16—44no—
1964D8—24no—
1965D8—24no—
1966D8—42no—
1967D8—42no—
1968D8—44no—
1969M16—24no—
1970M16—24no—
1971M16—44no—
1972M16—44no—
1973M16—44no—
1974C2×C8—22no—
1975C2×C8—22no—
1976C2×C8—22no—
1977C2×C8—22no—
1978C2×C8—44no—
1979C2×C8—44no—
1980C2×C8—44no—
1981C2×C8C2511yescharacteristic
1982C2×C8C2511yescharacteristic
1983C2×C8C2511yescharacteristic
1984C2×C8C2511yescharacteristic
1985C2×C8C2511yescharacteristic
1986C2×C8C2511yescharacteristic
1987C2×C8C2511yescharacteristic
1988C2×C8C2511yescharacteristic
1989C2×C8C2514yes—
1990C2×C8C2514yes—
1991C4⋊C4—21no—
1992C4⋊C4—22no—
1993C4⋊C4—22no—
1994C4⋊C4—22no—
1995C4⋊C4—21no—
1996C4⋊C4—22no—
1997C4⋊C4—22no—
1998C4⋊C4—21no—
1999C4⋊C4—22no—
2000C4⋊C4—22no—
2001C4⋊C4—21no—
2002C4⋊C4—21no—
2003C4⋊C4—22no—
2004C4⋊C4—24no—
2005C4⋊C4—22no—
2006C4⋊C4—24no—
2007C4⋊C4—24no—
2008C4⋊C4—24no—
2009C4⋊C4—22no—
2010C4⋊C4—21no—
2011C4⋊C4—22no—
2012C4⋊C4—24no—
2013C4⋊C4—24no—
2014C4⋊C4—22no—
2015C4⋊C4—22no—
2016C4⋊C4—22no—
2017C4⋊C4—22no—
2018C4⋊C4—24no—
2019C4⋊C4—24no—
2020C4⋊C4—22no—
2021C4⋊C4—24no—
2022C4⋊C4—24no—
2023C4⋊C4—24no—
2024C4⋊C4—22no—
2025C4⋊C4—22no—
2026C4⋊C4—21no—
2027C4⋊C4—22no—
2028C4⋊C4—22no—
2029C4⋊C4—21no—
2030C4⋊C4—22no—
2031C4⋊C4—22no—
2032C4⋊C4—22no—
2033C4⋊C4—22no—
2034C4⋊C4—21no—
2035C4⋊C4—21no—
2036C4⋊C4—24no—
2037C4⋊C4—24no—
2038C4⋊C4—22no—
2039C4⋊C4—24no—
2040C4⋊C4—22no—
2041C4⋊C4—22no—
2042C4⋊C4—22no—
2043C4⋊C4—21no—
2044C4⋊C4—21no—
2045C4⋊C4—24no—
2046C4⋊C4—24no—
2047C4⋊C4—24no—
2048C4⋊C4—24no—
2049C4⋊C4C22×D412yes—
2050C4⋊C4C22×D414yes—
2051C4⋊C4C22×D412yes—
2052C4⋊C4C22×D412yes—
2053C4⋊C4C22×D414yes—
2054C4⋊C4C22×D414yes—
2055C4⋊C4C22×D412yes—
2056C4⋊C4C22×D414yes—
2057C4⋊C4C22×D414yes—
2058C4⋊C4C22×D412yes—
2059C4⋊C4C22×D414yes—
2060C4⋊C4C22×D412yes—
2061C4⋊C4C2512yes—
2062C4⋊C4C2512yes—
2063C4⋊C4C2512yes—
2064C4⋊C4C2512yes—
2065C4⋊C4C2512yes—
2066C4⋊C4C2512yes—
2067C4⋊C4C2512yes—
2068C4⋊C4C2512yes—
2069C4⋊C4C2512yes—
2070C4⋊C4C2512yes—
2071C22⋊C4—22no—
2072C22⋊C4—22no—
2073C22⋊C4—22no—
2074C22⋊C4—22no—
2075C22⋊C4—24no—
2076C22⋊C4—22no—
2077C22⋊C4—22no—
2078C22⋊C4—22no—
2079C22⋊C4—22no—
2080C22⋊C4—24no—
2081C22⋊C4—22no—
2082C22⋊C4—24no—
2083C22⋊C4—24no—
2084C22⋊C4—24no—
2085C22⋊C4—24no—
2086C22⋊C4—22no—
2087C22⋊C4—22no—
2088C22⋊C4—22no—
2089C22⋊C4—22no—
2090C22⋊C4—22no—
2091C22⋊C4—22no—
2092C22⋊C4—22no—
2093C22⋊C4—22no—
2094C22⋊C4—22no—
2095C22⋊C4—24no—
2096C22⋊C4—24no—
2097C22⋊C4—22no—
2098C22⋊C4—24no—
2099C22⋊C4—22no—
2100C22⋊C4—22no—
2101C22⋊C4—22no—
2102C22⋊C4—22no—
2103C22⋊C4—24no—
2104C22⋊C4—24no—
2105C22⋊C4—22no—
2106C22⋊C4—22no—
2107C22⋊C4—24no—
2108C22⋊C4—24no—
2109C22⋊C4—24no—
2110C22⋊C4—22no—
2111C22⋊C4—22no—
2112C22⋊C4—24no—
2113C22⋊C4—24no—
2114C22⋊C4—22no—
2115C22⋊C4—24no—
2116C22⋊C4—22no—
2117C22⋊C4—22no—
2118C22⋊C4—22no—
2119C22⋊C4—24no—
2120C22⋊C4C22×D414yes—
2121C22⋊C4C22×D414yes—
2122C22⋊C4C22×D414yes—
2123C22⋊C4C22×D414yes—
2124C22⋊C4C22×D414yes—
2125C22⋊C4C22×D414yes—
2126C22⋊C4C22×D414yes—
2127C22⋊C4C22×D414yes—
2128C22⋊C4C22×D414yes—
2129C42—22no—
2130C42—24no—
2131C42—22no—
2132C42—22no—
2133C42—24no—
2134C42—22no—
2135C42—22no—
2136C42—22no—
2137C42—22no—
2138C42—22no—
2139C42—22no—
2140C42—24no—
2141C42—24no—
2142C42—24no—
2143C42—24no—
2144C42C22×D411yescharacteristic
2145C42C22×D414yes—
2146C42C22×D411yescharacteristic
2147C42C22×D411yescharacteristic
2148C42C22×D411yescharacteristic
2149C42C22×D411yescharacteristic
2150C42C22×D411yescharacteristic
2151C42C22×D411yescharacteristic
2152C42C22×D411yescharacteristic
2153C42C22×D411yescharacteristic
2154C42C22×D411yescharacteristic
2155C42C22×D411yescharacteristic
2156C42C22×D411yescharacteristic
2157C42C22×D414yes—
2158C42C2511yescharacteristic
2159C42C2511yescharacteristic
2160C42C2514yes—
2161C42C2511yescharacteristic
2162C42C2511yescharacteristic
2163C23—22no—
2164C23—22no—
2165C23—22no—
2166C23—24no—
2167C23—22no—
2168C23—22no—
2169C23—22no—
2170C23—41no—
2171C23—44no—
2172C23—44no—
2173C23—48no—
2174C23—44no—
2175C23—44no—
2176C23—42no—
2177C23—42no—
2178C23—82no—
2179C23—81no—
2180C23—81no—
2181C23—81no—
2182C23—81no—
2183C23—82no—
2184C23—84no—
2185C23—81no—
2186C23—81no—
2187C23—84no—
2188C23—816no—
2189C23C23×D411yescharacteristic
2190C23C23×D414yes—
2191C23C23×D411yescharacteristic
2192C23C23×D411yescharacteristic
2193Q8—24no—
2194Q8—24no—
2195Q8—22no—
2196Q8—22no—
2197Q8—22no—
2198Q8—22no—
2199Q8—42no—
2200Q8—42no—
2201Q8—42no—
2202Q8—42no—
2203Q8—42no—
2204Q8—82no—
2205Q8—81no—
2206Q8—81no—
2207Q8—82no—
2208Q8—84no—
2209Q8—84no—
2210Q8—81no—
2211Q8—84no—
2212D4—28no—
2213D4—28no—
2214D4—24no—
2215D4—22no—
2216D4—22no—
2217D4—22no—
2218D4—22no—
2219D4—22no—
2220D4—22no—
2221D4—22no—
2222D4—24no—
2223D4—24no—
2224D4—44no—
2225D4—42no—
2226D4—44no—
2227D4—44no—
2228D4—48no—
2229D4—48no—
2230D4—44no—
2231D4—44no—
2232D4—44no—
2233D4—44no—
2234D4—42no—
2235D4—42no—
2236D4—42no—
2237D4—84no—
2238D4—84no—
2239D4—81no—
2240D4—84no—
2241D4—82no—
2242D4—84no—
2243D4—84no—
2244D4—84no—
2245D4—84no—
2246D4C2×2−1+414yes—
2247C2×C4—22no—
2248C2×C4—22no—
2249C2×C4—22no—
2250C2×C4—22no—
2251C2×C4—22no—
2252C2×C4—22no—
2253C2×C4—21no—
2254C2×C4—21no—
2255C2×C4—24no—
2256C2×C4—21no—
2257C2×C4—24no—
2258C2×C4—21no—
2259C2×C4—22no—
2260C2×C4—22no—
2261C2×C4—22no—
2262C2×C4—22no—
2263C2×C4—22no—
2264C2×C4—22no—
2265C2×C4—22no—
2266C2×C4—22no—
2267C2×C4—22no—
2268C2×C4—22no—
2269C2×C4—22no—
2270C2×C4—22no—
2271C2×C4—22no—
2272C2×C4—22no—
2273C2×C4—41no—
2274C2×C4—41no—
2275C2×C4—41no—
2276C2×C4—41no—
2277C2×C4—41no—
2278C2×C4—41no—
2279C2×C4—41no—
2280C2×C4—44no—
2281C2×C4—44no—
2282C2×C4—48no—
2283C2×C4—44no—
2284C2×C4—44no—
2285C2×C4—44no—
2286C2×C4—44no—
2287C2×C4—44no—
2288C2×C4—42no—
2289C2×C4—44no—
2290C2×C4—44no—
2291C2×C4—44no—
2292C2×C4—44no—
2293C2×C4—82no—
2294C2×C4—82no—
2295C2×C4—82no—
2296C2×C4—82no—
2297C2×C4—82no—
2298C2×C4—84no—
2299C2×C4—84no—
2300C2×C4—84no—
2301C2×C4—84no—
2302C2×C4—82no—
2303C2×C4—84no—
2304C2×C4—81no—
2305C2×C4—81no—
2306C2×C4—82no—
2307C2×C4—81no—
2308C2×C4—84no—
2309C2×C4—81no—
2310C2×C4—82no—
2311C2×C4—84no—
2312C2×C4—84no—
2313C2×C4C23×D411yescharacteristic
2314C2×C4C23×D414yes—
2315C2×C4C23×D411yescharacteristic
2316C2×C4C23×D411yescharacteristic
2317C2×C4C23×D411yescharacteristic
2318C2×C4C23×D414yes—
2319C2×C4C23×D414yes—
2320C2×C4C23×D411yescharacteristic
2321C2×C4C23×D411yescharacteristic
2322C2×C4C23×D411yescharacteristic
2323C2×C4C23×D411yescharacteristic
2324C2×C4C23×D411yescharacteristic
2325C2×C4C23×D411yescharacteristic
2326C2×C4C23×D411yescharacteristic
2327C2×C4C2×2−1+412yes—
2328C2×C4#58512yes—
2329C2×C4C2611yescharacteristic
2330C8—21no—
2331C8—21no—
2332C8—21no—
2333C8—21no—
2334C8—21no—
2335C8—21no—
2336C8—21no—
2337C8—21no—
2338C8—24no—
2339C8—24no—
2340C22—21no—
2341C22—21no—
2342C22—21no—
2343C22—21no—
2344C22—21no—
2345C22—24no—
2346C22—24no—
2347C22—21no—
2348C22—24no—
2349C22—21no—
2350C22—24no—
2351C22—44no—
2352C22—42no—
2353C22—42no—
2354C22—42no—
2355C22—42no—
2356C22—42no—
2357C22—42no—
2358C22—42no—
2359C22—42no—
2360C22—42no—
2361C22—42no—
2362C22—42no—
2363C22—84no—
2364C22—88no—
2365C22—84no—
2366C22—88no—
2367C22—162no—
2368C22—168no—
2369C22#348912yes—
2370C22#358412yes—
2371C22C24×D411yescharacteristic
2372C4—21no—
2373C4—21no—
2374C4—24no—
2375C4—21no—
2376C4—21no—
2377C4—21no—
2378C4—21no—
2379C4—24no—
2380C4—21no—
2381C4—21no—
2382C4—21no—
2383C4—24no—
2384C4—42no—
2385C4—42no—
2386C4—42no—
2387C4—42no—
2388C4—42no—
2389C4—42no—
2390C4—42no—
2391C4—42no—
2392C4—42no—
2393C4—42no—
2394C4—42no—
2395C4—42no—
2396C4#348912yes—
2397C4#358512yes—
2398C4C22×2−1+411yescharacteristic
2399C4C2×#58511yescharacteristic
2400C2—22no—
2401C2—22no—
2402C2—41no—
2403C2—44no—
2404C2—44no—
2405C2—82no—
2406C2—82no—
2407C2—82no—
2408C2C2×#348911yescharacteristic
2409C2C2×#358411yescharacteristic
2410C2C2×#358511yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3444 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62831C2semidirect
2. #62773C2semidirect
3. #62202C2semidirect
4. #62201C2semidirect
5. #62200C2semidirect
6. #62199C2semidirect
7. #62176C2semidirect
8. #62175C2semidirect
9. #62152C2semidirect
10. #62151C2semidirect
11. #62141C2semidirect
12. #62137C2semidirect
13. #62119C2semidirect
14. #62103C2semidirect
15. #61371C2semidirect
16. #61370C2semidirect
17. #61327C2semidirect
18. #61325C2semidirect
19. #61285C2semidirect
20. #61284C2semidirect
21. #61273C2semidirect
22. #61272C2semidirect
23. #61212C2semidirect
24. #61211C2semidirect
25. #61184C2semidirect
26. #61183C2semidirect
27. #60926C2semidirect
28. #60917C2semidirect
29. #60890C2semidirect
30. #60846C2semidirect
31. #60592C2semidirect
32. C2×#3105C2semidirect
33. #60496C2semidirect
34. C2×#3077C2semidirect
35. #60268C2semidirect
36. #3565C22semidirect
41. #3552C22semidirect
42. #3544C22semidirect
48. #3520C22semidirect
50. #3519C22semidirect
51. #3518C22semidirect
52. #3515C22semidirect
53. #3515C22semidirect
55. #3513C22semidirect
56. #3510C22semidirect
58. #3507C22semidirect
61. #3506C22semidirect
63. #3504C22semidirect
64. #3502C22semidirect
66. #3501C22semidirect
69. #3495C22semidirect
70. #3494C22semidirect
75. #3481C22semidirect
77. #3475C22semidirect
79. D4×#41C22semidirect
84. C2×#533C22semidirect
85. C2×#529C22semidirect
89. #3389C22semidirect
90. #3388C22semidirect
91. #3386C22semidirect
92. #3385C22semidirect
93. #3384C22semidirect
94. #3384C22semidirect
95. #3381C22semidirect
96. #3381C22semidirect
97. #3380C22semidirect
98. #3380C22semidirect
99. Q8×SD16C22semidirect
100. Q8×D8C22semidirect
101. #3371C22semidirect
102. #3370C22semidirect
103. #3369C22semidirect
104. #3368C22semidirect
105. #3367C22semidirect
106. #3366C22semidirect
107. #3365C22semidirect
108. #3364C22semidirect
109. #3362C22semidirect
110. #3361C22semidirect
111. #3360C22semidirect
112. #3358C22semidirect
113. #3357C22semidirect
114. #3355C22semidirect
115. #3354C22semidirect
116. #3354C22semidirect
117. #3354C22semidirect
118. #3353C22semidirect
119. #3353C22semidirect
120. #3352C22semidirect
121. #3351C22semidirect
122. #3351C22semidirect
123. #3349C22semidirect
124. #3348C22semidirect
125. #3346C22semidirect
126. #3346C22semidirect
127. #3345C22semidirect
128. #3345C22semidirect
129. #3344C22semidirect
130. #3343C22semidirect
131. #3341C22semidirect
132. #3340C22semidirect
133. #3339C22semidirect
134. #3339C22semidirect
135. #3338C22semidirect
136. #3337C22semidirect
137. #3337C22semidirect
138. #3335C22semidirect
139. #3335C22semidirect
140. #3334C22semidirect
141. #3331C22semidirect
142. #3330C22semidirect
143. #3325C22semidirect
144. #3325C22semidirect
145. #3324C22semidirect
146. #3324C22semidirect
147. #3323C22semidirect
148. #3323C22semidirect
149. #3322C22semidirect
150. #3322C22semidirect
151. #3319C22semidirect
152. #3318C22semidirect
153. #3318C22semidirect
154. #3314C22semidirect
155. #3311C22semidirect
156. #3310C22semidirect
157. #3310C22semidirect
158. #3306C22semidirect
159. #3303C22semidirect
160. #3302C22semidirect
161. #3297C22semidirect
162. #3297C22semidirect
163. #3296C22semidirect
164. #3296C22semidirect
165. #3295C22semidirect
166. #3295C22semidirect
167. #3294C22semidirect
168. #3294C22semidirect
169. #3263C22semidirect
170. #3262C22semidirect
171. #3257C22semidirect
172. #3257C22semidirect
173. #3256C22semidirect
174. #3256C22semidirect
175. #3252C22semidirect
176. #3251C22semidirect
177. #3251C22semidirect
178. #3250C22semidirect
179. #3250C22semidirect
180. #3248C22semidirect
181. #3247C22semidirect
182. #3247C22semidirect
183. #3244C22semidirect
184. #3243C22semidirect
185. #3241C22semidirect
186. #3241C22semidirect
187. #3240C22semidirect
188. #3234C22semidirect
189. #3233C22semidirect
190. #3233C22semidirect
191. #3232C22semidirect
192. #3232C22semidirect
193. #3232C22semidirect
194. #3231C22semidirect
195. #3231C22semidirect
196. #3230C22semidirect
197. #3229C22semidirect
198. #3228C22semidirect
199. #3228C22semidirect
200. #3228C22semidirect
201. #3227C22semidirect
202. #3226C22semidirect
203. #3164C22semidirect
204. #3163C22semidirect
205. #3160C22semidirect
206. #3160C22semidirect
207. #3136C22semidirect
208. #3136C22semidirect
209. #3131C22semidirect
210. #3131C22semidirect
211. #3125C22semidirect
212. #3124C22semidirect
213. #3118C22semidirect
214. #3118C22semidirect
215. #3114C22semidirect
216. #3111C22semidirect
217. #3105C22semidirect
218. #3105C22semidirect
219. #3105C22semidirect
220. #3105C22semidirect
221. #3105C22semidirect
222. #3105C22semidirect
223. #3105C22semidirect
224. #3105C22semidirect
225. #3105C22semidirect
226. #3102C22semidirect
227. #3099C22semidirect
228. #3098C22semidirect
229. #3097C22semidirect
230. #3096C22semidirect
231. #3096C22semidirect
232. #3096C22semidirect
233. #3091C22semidirect
234. #3091C22semidirect
235. C2×#484C22semidirect
236. C2×#481C22semidirect
237. #3084C22semidirect
238. #3084C22semidirect
239. #3083C22semidirect
240. #3083C22semidirect
241. #3082C22semidirect
244. #3081C22semidirect
245. #3081C22semidirect
246. #3081C22semidirect
247. #3080C22semidirect
248. #3080C22semidirect
249. #3078C22semidirect
253. #3077C22semidirect
254. #3077C22semidirect
255. #3077C22semidirect
256. #3077C22semidirect
257. #3077C22semidirect
258. #3077C22semidirect
259. #3077C22semidirect
260. #3077C22semidirect
261. #3076C22semidirect
262. #3076C22semidirect
263. #3076C22semidirect
265. C2×#478C22semidirect
266. C2×#478C22semidirect
267. C2×#478C22semidirect
268. C2×#476C22semidirect
269. C2×#474C22semidirect
270. #3063C22semidirect
271. #3062C22semidirect
272. #3058C22semidirect
273. #3057C22semidirect
274. #3056C22semidirect
275. #3055C22semidirect
276. #3043C22semidirect
277. #3041C22semidirect
278. #3040C22semidirect
279. #3037C22semidirect
280. #3036C22semidirect
282. C2×#463C22semidirect
287. #2994C22semidirect
288. #2994C22semidirect
289. #2993C22semidirect
290. #2993C22semidirect
291. #2991C22semidirect
292. #2990C22semidirect
293. #2989C22semidirect
294. #2988C22semidirect
295. #2960C22semidirect
296. #2960C22semidirect
299. #2947C22semidirect
300. #2946C22semidirect
302. C2×C4×SD16C22semidirect
304. C2×C4×D8C22semidirect
305. #2933C22semidirect
306. #2933C22semidirect
307. #2931C22semidirect
308. #2931C22semidirect
309. #2925C22semidirect
310. C2×#431C22semidirect
311. #2913C22semidirect
312. #2912C22semidirect
313. C2×#428C22semidirect
314. #2906C22semidirect
315. C2×#423C22semidirect
343. Q82C23semidirect
349. #557C23semidirect
350. #557C23semidirect
361. #556C23semidirect
365. #555C23semidirect
379. #554C23semidirect
380. #554C23semidirect
381. #554C23semidirect
392. #553C23semidirect
407. #552C23semidirect
425. D4×Q8C23semidirect
440. #547C23semidirect
465. #544C23semidirect
466. #544C23semidirect
478. #542C23semidirect
479. #542C23semidirect
530. #533C23semidirect
569. #529C23semidirect
570. #529C23semidirect
574. C2×#125C23semidirect
659. #501C23semidirect
660. #501C23semidirect
661. #501C23semidirect
662. #501C23semidirect
663. #500C23semidirect
664. #500C23semidirect
665. #500C23semidirect
666. #500C23semidirect
667. #500C23semidirect
668. #499C23semidirect
669. #499C23semidirect
670. #499C23semidirect
671. #499C23semidirect
672. #499C23semidirect
673. #499C23semidirect
674. #498C23semidirect
675. #498C23semidirect
676. #498C23semidirect
677. #498C23semidirect
678. #498C23semidirect
685. #488C23semidirect
686. #488C23semidirect
687. #488C23semidirect
688. #488C23semidirect
689. #487C23semidirect
690. #487C23semidirect
691. #487C23semidirect
692. #487C23semidirect
695. #486C23semidirect
696. #486C23semidirect
697. #486C23semidirect
698. #486C23semidirect
703. #485C23semidirect
704. #485C23semidirect
705. #485C23semidirect
706. #485C23semidirect
713. #484C23semidirect
714. #484C23semidirect
717. #483C23semidirect
718. #483C23semidirect
727. #482C23semidirect
728. #482C23semidirect
729. #482C23semidirect
730. #482C23semidirect
739. #481C23semidirect
740. #481C23semidirect
745. #480C23semidirect
746. #480C23semidirect
747. #479C23semidirect
748. #479C23semidirect
749. #479C23semidirect
750. #479C23semidirect
751. #479C23semidirect
752. #479C23semidirect
753. #479C23semidirect
754. #479C23semidirect
755. #479C23semidirect
756. #479C23semidirect
757. #479C23semidirect
778. #478C23semidirect
779. #478C23semidirect
780. #478C23semidirect
781. #478C23semidirect
782. #478C23semidirect
783. #478C23semidirect
784. #478C23semidirect
785. #478C23semidirect
786. #478C23semidirect
787. #478C23semidirect
788. #478C23semidirect
789. #477C23semidirect
790. #477C23semidirect
791. #477C23semidirect
792. #477C23semidirect
793. #477C23semidirect
802. #476C23semidirect
803. #476C23semidirect
804. #476C23semidirect
805. #476C23semidirect
806. #476C23semidirect
807. #475C23semidirect
808. #475C23semidirect
809. #475C23semidirect
810. #475C23semidirect
811. #475C23semidirect
820. #474C23semidirect
821. #474C23semidirect
822. #474C23semidirect
823. #474C23semidirect
824. #474C23semidirect
826. #470C23semidirect
830. #469C23semidirect
835. #468C23semidirect
836. #468C23semidirect
838. #467C23semidirect
842. #466C23semidirect
847. #465C23semidirect
848. #465C23semidirect
851. #464C23semidirect
852. #464C23semidirect
853. #464C23semidirect
864. #463C23semidirect
865. #463C23semidirect
866. #463C23semidirect
867. #462C23semidirect
868. #461C23semidirect
871. #460C23semidirect
874. #459C23semidirect
891. #446C23semidirect
892. #446C23semidirect
893. #446C23semidirect
894. #446C23semidirect
895. C8×Q8C23semidirect
896. C8×Q8C23semidirect
897. C8×Q8C23semidirect
898. C8×Q8C23semidirect
901. #442C23semidirect
902. #441C23semidirect
905. #440C23semidirect
906. #440C23semidirect
907. C4×Q16C23semidirect
918. C4×SD16C23semidirect
919. C4×SD16C23semidirect
930. C4×D8C23semidirect
933. #436C23semidirect
934. #436C23semidirect
935. #436C23semidirect
936. #436C23semidirect
943. C8×D4C23semidirect
944. C8×D4C23semidirect
945. C8×D4C23semidirect
946. C8×D4C23semidirect
947. #433C23semidirect
948. #433C23semidirect
949. #432C23semidirect
958. #431C23semidirect
967. #428C23semidirect
968. #428C23semidirect
969. #428C23semidirect
970. #428C23semidirect
975. #427C23semidirect
976. #427C23semidirect
980. C2×#107C23semidirect
984. C2×#106C23semidirect
987. #424C23semidirect
988. #424C23semidirect
994. #423C23semidirect
999. C2×C4⋊C8C23semidirect

Maximal subgroups

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

subgroupindex
#628312
#627732
#622022
#622012
#622002
#621992
#621762
#621752
#621522
#621512
#621412
#621372
#621192
#621032
#613712
#613702
#613272
#613252
#612852
#612842
#612732
#612722
#612122
#612112
#611842
#611832
#609262
#609172
#608902
#608462
#605922
C2×#31052
#604962
C2×#30772
#602682