Finite Group Databasebeta

← #72337429

Subgroups — #72337429

Order 1024.

31795 conjugacy classes of subgroups.

The subgroup lattice has 2864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63011C211yesmaximal, characteristic, complemented
2C2×#61661C211yesmaximal, characteristic, complemented
3C2×#61089C211yesmaximal, characteristic, complemented
4#7739384C211yesmaximal, characteristic, complemented
5#6595761C214yesmaximal, complemented
6#6595725C214yesmaximal, complemented
7#6573582C214yesmaximal, complemented
8D4×#447C214yesmaximal, complemented
9#6533324C214yesmaximal, complemented
10#6533313C214yesmaximal, complemented
11#6533182C214yesmaximal, complemented
12#6533170C214yesmaximal, complemented
13#6516757C212yesmaximal, complemented
14#6512797C212yesmaximal, complemented
15#6500186C214yesmaximal, complemented
16#6499823C214yesmaximal, complemented
17#6491030C212yesmaximal, complemented
18#6470213C214yesmaximal, complemented
19#6453909C212yesmaximal, complemented
20#6437563C214yesmaximal, complemented
21#6393497C211yesmaximal, characteristic, complemented
22#6393353C211yesmaximal, characteristic, complemented
23#6386055C211yesmaximal, characteristic, complemented
24C22×#576C2212yescomplemented
25#63011—216no—
26#63011—216no—
27C2×#3498C2211yescharacteristic
28C2×#3498C2212yescomplemented
29C2×#3498C2211yescharacteristic, complemented
30C2×#3519—22no—
31C2×#3519C2214yescomplemented
32C2×#3519C2214yescomplemented
33C2×#3484—24no—
34C2×#3484C2214yescomplemented
35C2×#3549C2211yescharacteristic
36C2×#3543—21no—
37C2×#3543C2214yescomplemented
38C2×#3537—24no—
39C2×#3537C2214yescomplemented
40C2×#3532—24no—
41C2×#3481C2211yescharacteristic
42C2×#3481C2212yescomplemented
43C22×D42—21no—
44C22×D42C2214yescomplemented
45#61661—216no—
46C2×#3325C2214yescomplemented
47C2×#3305C2214yescomplemented
48#61089—216no—
49C2×#3287C2214yescomplemented
50C2×D4×D8C2214yescomplemented
51C2×D4×D8C2214yescomplemented
52C2×#3274C2214yescomplemented
53C2×#3274C2214yescomplemented
54C2×#3274C2214yescomplemented
55C2×#3205C2212yescomplemented
56C2×#3199C2214yescomplemented
57C22×#493C2211yescharacteristic, complemented
58C2×#3106C2212yescomplemented
59C2×#3058C2212yescomplemented
60C2×#3038C2211yescharacteristic, complemented
61C2×#3038C2211yescharacteristic, complemented
62C2×#3008C2212yescomplemented
63C2×#3008C2214yescomplemented
64C2×#3008C2212yescomplemented
65C2×#3003C2214yescomplemented
66C22×#447C2214yescomplemented
67C2×#2979C2211yescharacteristic, complemented
68C2×C4×#135C2211yescharacteristic, complemented
69C2×#2931C2211yescharacteristic, complemented
70#59143—21no—
71#59126—21no—
72#59057—22no—
73#51895—24no—
74#45352—24no—
75#44877—24no—
76#38910C2214yescomplemented
77#38909C2214yescomplemented
78#37269C2214yescomplemented
79#36101C2214yescomplemented
80D4×#121C2214yescomplemented
81#35512C2214yescomplemented
82#35272C2212yescomplemented
83#34976C2212yescomplemented
84#34368C2211yescharacteristic, complemented
85#33014C2218yescomplemented
86#32902C2214yescomplemented
87#32902C2214yescomplemented
88#32878C2218yescomplemented
89#29662C2214yescomplemented
90#29662C2214yescomplemented
91#29630C2218yescomplemented
92#29600C2218yescomplemented
93#25930C2214yescomplemented
94#25757C2214yescomplemented
95#25757C2214yescomplemented
96#25757C2214yescomplemented
97#25721C2214yescomplemented
98#25721C2214yescomplemented
99#25633C2214yescomplemented
100#25631C2214yescomplemented
101#25631C2214yescomplemented
102#25599C2214yescomplemented
103#25599C2214yescomplemented
104#25569C2214yescomplemented
105#25550C2218yescomplemented
106#25534C2218yescomplemented
107#25508C2218yescomplemented
108#25508C2218yescomplemented
109#24444C2218yescomplemented
110#24440C2218yescomplemented
111#24440C2218yescomplemented
112#24428C2218yescomplemented
113#24424C2218yescomplemented
114#24424C2218yescomplemented
115#24384C2218yescomplemented
116#24378C2218yescomplemented
117#24331C2212yescomplemented
118#24327C2212yescomplemented
119#24240C2212yescomplemented
120#24240C2214yescomplemented
121#24236C2212yescomplemented
122#24236C2214yescomplemented
123#24211C2214yescomplemented
124#24208C2214yescomplemented
125#24190C2212yescomplemented
126#24188C2214yescomplemented
127#24186C2212yescomplemented
128#24184C2214yescomplemented
129#24156C2214yescomplemented
130#24152C2214yescomplemented
131#24122C2212yescomplemented
132#24118C2212yescomplemented
133#24090C2214yescomplemented
134#24044C2218yescomplemented
135#24037C2214yescomplemented
136#23973C2218yescomplemented
137#23973C2218yescomplemented
138#23962C2214yescomplemented
139#23962C2218yescomplemented
140#23941C2218yescomplemented
141#23939C2218yescomplemented
142#23920C2218yescomplemented
143#23918C2218yescomplemented
144#23861C2218yescomplemented
145#23861C2218yescomplemented
146#23860C2218yescomplemented
147#23860C2218yescomplemented
148#23860C2218yescomplemented
149#23850C2214yescomplemented
150#23850C2218yescomplemented
151#23848C2218yescomplemented
152#23848C2218yescomplemented
153#23848C2218yescomplemented
154#23848C2218yescomplemented
155#23572C2214yescomplemented
156#23569C2214yescomplemented
157#23426C2214yescomplemented
158#23422C2214yescomplemented
159#23391C2214yescomplemented
160#23386C2214yescomplemented
161#22503C2214yescomplemented
162#22489C2214yescomplemented
163#22474C2214yescomplemented
164#22474C2214yescomplemented
165#22432C2214yescomplemented
166#22428C2214yescomplemented
167#22428C2214yescomplemented
168#22418C2214yescomplemented
169D4×#102C2214yescomplemented
170D4×#102C2214yescomplemented
171#22401C2214yescomplemented
172D4×C22⋊C8C2214yescomplemented
173#21893C2212yescomplemented
174#21849C2212yescomplemented
175#21803C2212yescomplemented
176#21770C2214yescomplemented
177#21770C2214yescomplemented
178#21744C2214yescomplemented
179C4×#450C2214yescomplemented
180C4×#447C2214yescomplemented
181#21401C2212yescomplemented
182#21373C2212yescomplemented
183#20975C2214yescomplemented
184#20934C2214yescomplemented
185#20929C2214yescomplemented
186#20899C2214yescomplemented
187#20737C2212yescomplemented
188#20602C2214yescomplemented
189C22×H(5,𝔽2)—22no—
190C22×H(5,𝔽2)C2312yes—
191C22×H(5,𝔽2)C2312yescomplemented
192C24×D4—24no—
193C24×D4C2314yes—
194C2×#576—216no—
195C2×#576—48no—
196C2×#576—48no—
197C22×AGL(1,ℤ/8)C2314yes—
198C22×AGL(1,ℤ/8)C2312yes—
199C22×AGL(1,ℤ/8)C2312yescomplemented
200C22×AGL(1,ℤ/8)C2314yescomplemented
201C22×AGL(1,ℤ/8)C2314yescomplemented
202C22×#135C2311yescharacteristic
203C22×#135C2314yescomplemented
204C23×D8C2314yes—
205C23×D8C2312yescomplemented
206C23×D8C2314yescomplemented
207C23×D8C2312yescomplemented
208C22×#131C2312yescomplemented
209#3549—28no—
210#3549D4116yescomplemented
211#3543—232no—
212#3543—232no—
213#3543—232no—
214#3537—2128no—
215#3537—232no—
216#3537—232no—
217#3532—2128no—
218C2×H(3,𝔽4)—22no—
219C2×#560—28no—
220C2×#560—24no—
221C2×#560—24no—
222#3519—264no—
223#3519—232no—
224#3519—232no—
225#3519—232no—
226#3519—232no—
227#3498—28no—
228#3498—216no—
229#3498—216no—
230#3498—28no—
231#3498—28no—
232#3498D4116yescomplemented
233#3484—2128no—
234#3484—232no—
235#3484—232no—
236#3481—28no—
237#3481—28no—
238#3481—216no—
239#3481—216no—
240C2×#559D411yescharacteristic
241C2×#559C2312yes—
242C2×#555—21no—
243C2×#555C2314yes—
244C2×#554D412yes—
245C2×#554C2312yes—
246C2×#554C2312yes—
247C2×#553—24no—
248C2×#553—22no—
249C2×#553—24no—
250C2×#553D414yes—
251C2×#553C2314yes—
252C2×#553C2318yes—
253C2×#551—24no—
254C2×#551D414yes—
255C2×#550—22no—
256C2×#550C2314yes—
257C2×#550C2314yes—
258C2×#550C2314yescomplemented
259C2×#546—22no—
260C2×#546—24no—
261C2×#546—28no—
262C2×#546—24no—
263C2×#546—28no—
264C2×#546—28no—
265C2×#546D414yes—
266C2×#546C2318yes—
267C2×#546C2314yes—
268C2×D42—232no—
269C2×D42—24no—
270C2×D42—232no—
271C2×D42—232no—
272C2×D42—24no—
273C2×D42—21no—
274C2×D42—24no—
275C2×D42—28no—
276C2×D42—24no—
277C2×D42—24no—
278C2×D42—24no—
279C2×D42—24no—
280C2×D42—24no—
281C2×D42—24no—
282C2×D42—28no—
283C2×D42—24no—
284C2×D42—22no—
285C2×D42D411yescharacteristic
286C2×D42C2318yes—
287C2×D42C2318yes—
288C2×D42C2318yes—
289C2×D42C2314yes—
290C2×D42C2312yes—
291C2×D42C2314yes—
292C2×D42C2314yes—
293C2×D42C2314yescomplemented
294C2×#540—24no—
295C2×#540—24no—
296C2×#540C2318yes—
297C2×#538—28no—
298C2×#538—28no—
299C2×#538—28no—
300C2×#535—22no—
301C2×#535—24no—
302C2×#535—22no—
303C2×#535—22no—
304C2×#535—24no—
305C2×#535—22no—
306C2×#535—24no—
307C2×#535C2314yes—
308C2×#535C2312yes—
309C2×#535C2314yes—
310C2×#535C2312yescomplemented
311C2×#534—24no—
312C2×#534—24no—
313C2×#534—28no—
314C2×#534—28no—
315C2×#532—21no—
316C2×#532—21no—
317C2×#532C2314yes—
318C2×#532C2312yes—
319C2×#532C2311yescharacteristic
320C22×#127—21no—
321C22×#127—21no—
322C22×#127C2314yes—
323C22×#127C2311yescharacteristic
324C22×#127C2311yescharacteristic, complemented
325C2×#529—22no—
326C2×#529C2314yes—
327C2×#529C2314yes—
328C2×#525—24no—
329C2×#525—24no—
330C2×#525C2314yes—
331C2×#525C2314yes—
332C2×#525C2314yescomplemented
333C22×#121—24no—
334C22×#121—24no—
335C22×#121C2318yes—
336C22×#121C2314yescomplemented
337C22×#120—24no—
338C22×#120—24no—
339C22×#120—28no—
340C2×#518—24no—
341C2×#518C2314yes—
342C2×C4×#41C2311yescharacteristic
343C2×C4×#41C2312yes—
344C2×C4×#41C2311yescharacteristic, complemented
345C22×C4×D4—22no—
346C22×C4×D4C2314yes—
347C22×C4×D4C2314yes—
348#3325—232no—
349#3305—232no—
350#3287—232no—
351D4×D8—232no—
352D4×D8—232no—
353#3274—232no—
354#3274—232no—
355#3274—232no—
356#3205—216no—
357#3199—232no—
358C2×#493—28no—
359C2×#493C2314yes—
360C2×#493C2314yescomplemented
361C2×#493C2314yescomplemented
362C2×#486C2314yescomplemented
363#3106—216no—
364C2×#482C2314yescomplemented
365C2×#482C2318yescomplemented
366C2×#477C2312yescomplemented
367C2×#476C2312yescomplemented
368#3058—216no—
369C2×#469C2318yescomplemented
370C2×#469C2318yescomplemented
371C2×#466C2318yescomplemented
372C2×#466C2318yescomplemented
373#3038—28no—
374#3038—28no—
375C2×#460C2312yes—
376C2×#460C2314yescomplemented
377C2×#460C2314yescomplemented
378C2×#459C2314yes—
379C2×#459C2312yes—
380C2×#459C2314yescomplemented
381C2×#459C2314yescomplemented
382C2×#459C2314yescomplemented
383#3008—216no—
384#3008—216no—
385#3008—232no—
386#3003—416no—
387C2×#449C2314yescomplemented
388C2×#449C2318yescomplemented
389C2×#449C2318yescomplemented
390C2×#449C2318yescomplemented
391C2×#450C2314yes—
392C2×#450C2318yescomplemented
393C2×#447—416no—
394C2×#447C2314yes—
395C2×#447C2318yes—
396C2×#447C2318yes—
397C2×#447C2318yes—
398C2×#447C2318yescomplemented
399C2×#447C2318yescomplemented
400C2×#447C2318yescomplemented
401C2×#447C2318yescomplemented
402C2×#447C2318yescomplemented
403C2×#447C2318yescomplemented
404C2×#447C2318yescomplemented
405C2×#447C2318yescomplemented
406C2×#447C2318yescomplemented
407#2979—28no—
408C4×#135—28no—
409C2×C4×Q16C2312yescomplemented
410C2×C4×SD16C2312yes—
411C2×C4×SD16C2312yescomplemented
412C2×C4×SD16C2314yescomplemented
413C2×C4×D8C2312yes—
414C2×C4×D8C2314yescomplemented
415#2931—28no—
416C2×#436C2314yescomplemented
417C2×#436C2314yescomplemented
418C2×C8×D4C2314yescomplemented
419C2×C8×D4C2314yescomplemented
420C2×#431C2312yescomplemented
421C2×#427C2311yescharacteristic, complemented
422C2×#423C2311yescharacteristic, complemented
423C2×#417C2314yescomplemented
424C2×#418C2314yes—
425C2×#418C2312yescomplemented
426C2×#418C2312yescomplemented
427C2×#418C2314yescomplemented
428C2×#418C2314yescomplemented
429C2×#416C2311yescharacteristic
430C2×#416C2314yescomplemented
431C2×#416C2311yescharacteristic, complemented
432C2×#416C2314yescomplemented
433C22×#102C2314yes—
434C22×#102C2314yescomplemented
435C2×#408C2312yescomplemented
436C2×#408C2314yescomplemented
437C2×#407C2314yescomplemented
438C22×C22⋊C8C2314yescomplemented
439C22×C4×C8C2311yescharacteristic, complemented
440#2856C2314yescomplemented
441#2856C2314yescomplemented
442#2847C2318yescomplemented
443#2730—28no—
444#2709—24no—
445#2697—24no—
446#2691—28no—
447#2685—28no—
448#2679—24no—
449#2678—28no—
450#2671—28no—
451#2669—24no—
452#2668—28no—
453#2624C2318yescomplemented
454#2619—24no—
455#2609—24no—
456#2582C2312yescomplemented
457#2548—22no—
458#2548C2314yescomplemented
459#2544—24no—
460#2541—22no—
461#2541C2314yes—
462#2540—24no—
463#2538C2312yes—
464#2538C2312yescomplemented
465#2537C2312yes—
466#2490—24no—
467#2485—22no—
468#2485C2314yescomplemented
469#2456—28no—
470#2454—24no—
471#2445—24no—
472#2435—24no—
473#2433—24no—
474#2428—24no—
475#2428—24no—
476#2427—24no—
477#2424—28no—
478#2424—28no—
479#2416—24no—
480#2416C2318yescomplemented
481#2414C2318yescomplemented
482#2410—28no—
483#2408—28no—
484#2408—24no—
485#2408—24no—
486#2408C2318yescomplemented
487#2408C2318yescomplemented
488#2407—22no—
489#2407—28no—
490#2407C2318yescomplemented
491#2407C2314yescomplemented
492#2405—24no—
493#2405—24no—
494#2403—24no—
495#2403—24no—
496#2392—24no—
497#2379—22no—
498#2369—21no—
499#2366—21no—
500#2366—24no—
501#2361—24no—
502#2354C2314yescomplemented
503D4×C4⋊C4C2314yescomplemented
504D4×C22⋊C4—24no—
505#2324—24no—
506#2311C2314yescomplemented
507#2311C2314yescomplemented
508#2309—22no—
509#2309C2314yescomplemented
510C4×C22⋊Q8—22no—
511C4×C22⋊Q8C2314yescomplemented
512C4×#121—22no—
513C4×#121C2314yescomplemented
514#2285C2312yescomplemented
515#2059C2314yescomplemented
516#2059C2314yescomplemented
517#2042C2314yescomplemented
518#2042C2314yescomplemented
519#2041C2318yescomplemented
520#2041C2318yescomplemented
521#2036C2314yescomplemented
522#2035C2314yescomplemented
523#2034C2314yes—
524#2034C2318yescomplemented
525#2033C2314yes—
526#2033C2318yescomplemented
527#2026C2314yescomplemented
528#2025C2314yescomplemented
529#2025C2318yescomplemented
530#2025C2318yescomplemented
531#2015C2314yescomplemented
532#2014C2318yescomplemented
533#2012C2314yescomplemented
534#2012C2318yescomplemented
535#2012C2318yescomplemented
536#2011C2318yescomplemented
537#2011C2318yescomplemented
538#2011C2318yescomplemented
539#2011C2318yescomplemented
540#2011C2318yescomplemented
541#2001C2314yescomplemented
542#2000C2314yes—
543#2000C2314yescomplemented
544#2000C2318yescomplemented
545#2000C2318yescomplemented
546#2000C2318yescomplemented
547#1999C2314yes—
548#1999C2318yes—
549#1999C2318yes—
550#1999C2318yescomplemented
551#1999C2318yescomplemented
552#1999C2318yescomplemented
553#1999C2318yescomplemented
554#1999C2318yescomplemented
555#1990C2312yescomplemented
556#1990C2312yescomplemented
557#1987C2314yescomplemented
558#1984C2312yescomplemented
559#1984C2312yescomplemented
560#1984C2314yescomplemented
561#1982C2314yes—
562#1982C2314yescomplemented
563#1982C2314yescomplemented
564#1957C2312yes—
565#1957C2312yes—
566#1957C2314yescomplemented
567#1957C2314yescomplemented
568#1954C2312yes—
569#1954C2312yes—
570#1954C2314yes—
571#1895C2318yescomplemented
572#1895C2318yescomplemented
573#1895C2318yescomplemented
574#1893C2314yescomplemented
575#1893C2318yescomplemented
576#1893C2314yescomplemented
577#1893C2318yescomplemented
578#1879C2314yes—
579#1879C2318yes—
580#1879C2318yes—
581#1879C2318yescomplemented
582#1879C2318yescomplemented
583#1879C2318yescomplemented
584#1879C2318yescomplemented
585#1879C2318yescomplemented
586#1879C2318yescomplemented
587#1879C2314yescomplemented
588#1879C2318yescomplemented
589#1877C2314yes—
590#1877C2318yescomplemented
591#1877C2314yescomplemented
592#1875C2318yescomplemented
593#1875C2318yescomplemented
594#1874C2318yescomplemented
595#1874C2318yescomplemented
596#1874C2314yescomplemented
597#1874C2318yescomplemented
598#1874C2318yescomplemented
599#1872C2314yescomplemented
600#1870C2318yescomplemented
601#1870C2318yescomplemented
602#1870C2318yescomplemented
603#1869C2314yescomplemented
604#1869C2314yescomplemented
605#1869C2318yescomplemented
606#1869C2318yescomplemented
607#1864C2314yes—
608#1864C2314yescomplemented
609#1864C2318yescomplemented
610#1862C2314yes—
611#1862C2314yescomplemented
612#1862C2318yescomplemented
613#1853C2314yescomplemented
614#1852C2314yescomplemented
615#1825C2314yescomplemented
616#1825C2318yescomplemented
617#1818C2318yescomplemented
618#1803C2312yescomplemented
619#1803C2312yescomplemented
620#1802C2312yes—
621#1802C2312yes—
622#1802C2314yescomplemented
623#1802C2314yescomplemented
624#1797C2314yescomplemented
625#1797C2314yescomplemented
626#1788C2314yes—
627#1788C2318yescomplemented
628#1786C2318yes—
629#1786C2314yes—
630#1786C2314yes—
631#1786C2318yescomplemented
632#1786C2318yescomplemented
633#1786C2318yescomplemented
634#1786C2318yescomplemented
635#1779C2318yescomplemented
636C4×#103C2314yescomplemented
637C4×#102C2314yes—
638C4×#102C2314yescomplemented
639C4×#102C2314yescomplemented
640C4×C22⋊C8C2314yescomplemented
641C4×C22⋊C8C2314yescomplemented
642#1736C2314yescomplemented
643#1735C2314yescomplemented
644#1729C2314yescomplemented
645#1729C2314yescomplemented
646C26—24no—
647C2×H(5,𝔽2)—232no—
648C2×H(5,𝔽2)—28no—
649C2×H(5,𝔽2)—28no—
650C2×H(5,𝔽2)—28no—
651C2×H(5,𝔽2)—44no—
652C2×H(5,𝔽2)—44no—
653C2×H(5,𝔽2)—44no—
654C2×H(5,𝔽2)—44no—
655C2×H(5,𝔽2)—82no—
656C2×H(5,𝔽2)—82no—
657C2×H(5,𝔽2)—82no—
658C2×H(5,𝔽2)—82no—
659C2×H(5,𝔽2)—88no—
660C2×H(5,𝔽2)—88no—
661C2×H(5,𝔽2)C2×D4116yescomplemented
662C22×#41—24no—
663C22×#41—22no—
664C22×#41—22no—
665C22×#41—22no—
666C22×#41—24no—
667C22×#41C2×D412yes—
668C22×#41C2411yescharacteristic
669C22×#41C2414yes—
670C22×#41C2411yescharacteristic
671C22×#41C2414yes—
672C22×#41C2412yes—
673C23×D4—264no—
674C23×D4—28no—
675C23×D4—22no—
676C23×D4—24no—
677C23×D4—28no—
678C23×D4—24no—
679C23×D4—28no—
680C23×D4—24no—
681C23×D4—216no—
682C23×D4—216no—
683C23×D4—28no—
684C23×D4—22no—
685C23×D4—24no—
686C23×D4—24no—
687C23×D4—22no—
688C23×D4—24no—
689C23×D4—24no—
690C23×D4—24no—
691C23×D4—28no—
692C23×D4—24no—
693C23×D4—24no—
694C23×D4—22no—
695C23×D4—22no—
696C23×D4—48no—
697C23×D4—48no—
698C23×D4—84no—
699C23×D4—84no—
700C23×D4—816no—
701C23×D4—816no—
702C23×D4C2×D414yes—
703C23×D4C2414yes—
704C23×D4C2414yes—
705C23×D4C2414yes—
706C23×D4C2418yes—
707C23×D4C2412yes—
708C23×D4C2414yes—
709C23×D4C2412yes—
710C24×C4—24no—
711C24×C4C2414yes—
712#576—4128no—
713C2×AGL(1,ℤ/8)—28no—
714C2×AGL(1,ℤ/8)—216no—
715C2×AGL(1,ℤ/8)—28no—
716C2×AGL(1,ℤ/8)—216no—
717C2×AGL(1,ℤ/8)—216no—
718C2×AGL(1,ℤ/8)—216no—
719C2×AGL(1,ℤ/8)—48no—
720C2×AGL(1,ℤ/8)—44no—
721C2×AGL(1,ℤ/8)—44no—
722C2×AGL(1,ℤ/8)—44no—
723C2×AGL(1,ℤ/8)—48no—
724C2×AGL(1,ℤ/8)—48no—
725C2×AGL(1,ℤ/8)—44no—
726C2×AGL(1,ℤ/8)—48no—
727C2×AGL(1,ℤ/8)—84no—
728C2×#135—24no—
729C2×#135—216no—
730C2×#135—24no—
731C2×#135—24no—
732C2×#135—48no—
733C2×#135—48no—
734C22×Q16C2411yescharacteristic
735C22×SD16C2411yescharacteristic
736C22×SD16C2414yes—
737C22×SD16C2414yes—
738C22×SD16C2411yescharacteristic
739C22×SD16C2414yes—
740C22×D8—28no—
741C22×D8—216no—
742C22×D8—28no—
743C22×D8—216no—
744C22×D8—216no—
745C22×D8—44no—
746C22×D8—44no—
747C22×D8—48no—
748C22×D8—48no—
749C22×D8—82no—
750C22×D8—82no—
751C22×D8—84no—
752C22×D8C2414yes—
753C22×D8C2414yes—
754C22×D8C2414yes—
755C22×D8C2414yes—
756C22×D8C2414yes—
757C22×D8C2411yescharacteristic
758C22×D8C2418yes—
759C22×D8C2418yes—
760C22×D8C2418yes—
761C2×#131—28no—
762C2×#131—44no—
763C2×#131—44no—
764C22×M16C2414yes—
765C22×M16C2414yes—
766C22×M16C2412yes—
767C23×C8C2411yescharacteristic
768C23×C8C2414yes—
769C23×C8C2411yescharacteristic
770C23×C8C2414yes—
771H(3,𝔽4)—232no—
772#560—264no—
773#560—2128no—
774#560—264no—
775#559—28no—
776#559—28no—
777#559—28no—
778#555—216no—
779#555—216no—
780#555C2×D4132yescomplemented
781#554—216no—
782#554—28no—
783#554—28no—
784#554—28no—
785#554—28no—
786#553—232no—
787#553—264no—
788#553—264no—
789#553—232no—
790#553—216no—
791#553—232no—
792#553—216no—
793#553—232no—
794#551—264no—
795#551—232no—
796#550—232no—
797#550—216no—
798#550—216no—
799#550—216no—
800#550—216no—
801#550—216no—
802#550C2×D4132yescomplemented
803#546—232no—
804#546—2128no—
805#546—2128no—
806#546—2128no—
807#546—264no—
808#546—264no—
809#546—216no—
810#546—232no—
811#546—232no—
812#546—216no—
813#546—232no—
814D42—264no—
815D42—264no—
816D42—232no—
817D42—264no—
818D42—2128no—
819D42—264no—
820D42—264no—
821D42—2128no—
822D42—264no—
823D42—264no—
824D42—232no—
825D42—232no—
826D42—232no—
827D42—28no—
828D42—216no—
829D42—28no—
830D42—216no—
831D42—264no—
832D42—232no—
833D42—232no—
834D42—232no—
835D42—28no—
836D42—216no—
837D42—216no—
838D42—216no—
839D42—216no—
840D42—216no—
841D42—432no—
842D42—816no—
843D42C2×D4132yescomplemented
844D42C2×D4132yescomplemented
845#540—264no—
846#540—264no—
847#540—232no—
848#540—232no—
849#538—2128no—
850#538—2128no—
851#538—2128no—
852#535—264no—
853#535—264no—
854#535—232no—
855#535—216no—
856#535—216no—
857#535—28no—
858#535—216no—
859#535—232no—
860#535—264no—
861#535—28no—
862#535—28no—
863#535—416no—
864#535—88no—
865#535C2×D4132yescomplemented
866#535C2×D4116yescomplemented
867#534—264no—
868#534—2128no—
869#534—264no—
870#534—2128no—
871#532—216no—
872#532—216no—
873#532—216no—
874#532—28no—
875#532—48no—
876#532C2×D418yes—
877#532C2×D418yes—
878#532C2×D4116yescomplemented
879C2×C4⋊Q8C2×D411yescharacteristic
880C2×C4⋊Q8C2412yes—
881C2×#127—22no—
882C2×#127—24no—
883C2×#127—24no—
884C2×#127—216no—
885C2×#127—216no—
886C2×#127—216no—
887C2×#127—24no—
888C2×#127—22no—
889C2×#127—24no—
890C2×#127—21no—
891C2×#127—21no—
892C2×#127—24no—
893C2×#127—24no—
894C2×#127—24no—
895C2×#127—24no—
896C2×#127—24no—
897C2×#127—21no—
898C2×#127—21no—
899C2×#127—48no—
900C2×#127C2×D411yescharacteristic
901C2×#127C2×D418yescomplemented
902C2×#127C2414yes—
903C2×#127C2418yes—
904C2×#127C2412yes—
905C2×#127C2414yes—
906#529—232no—
907#529—216no—
908#529—216no—
909#529—216no—
910#529—216no—
911C2×#126—24no—
912C2×#126—28no—
913C2×#126—24no—
914C2×#126C2×D418yes—
915C2×#125—22no—
916C2×#125C2×D414yes—
917C2×#125C2414yes—
918C2×#124—22no—
919C2×#124—22no—
920C2×#124—24no—
921C2×#124—22no—
922C2×#124—24no—
923C2×#124—28no—
924C2×#124—24no—
925C2×#124—22no—
926C2×#124C2×D414yes—
927C2×#124C2×D412yes—
928C2×#124C2414yes—
929#525—264no—
930#525—264no—
931#525—216no—
932#525—216no—
933#525—216no—
934#525—216no—
935#525—48no—
936#525—84no—
937C2×#123—24no—
938C2×#123—24no—
939C2×#123—24no—
940C2×#123—28no—
941C2×#123—24no—
942C2×#123—24no—
943C2×#123—28no—
944C2×#123—28no—
945C2×#123—24no—
946C2×#123—28no—
947C2×#123C2×D414yes—
948C2×#123C2×D414yes—
949C2×#123C2×D418yes—
950C2×C22⋊Q8—22no—
951C2×C22⋊Q8—22no—
952C2×C22⋊Q8—24no—
953C2×C22⋊Q8—24no—
954C2×C22⋊Q8C2×D418yes—
955C2×C22⋊Q8C2×D414yes—
956C2×C22⋊Q8C2414yes—
957C2×C22⋊Q8C2414yes—
958C2×#121—264no—
959C2×#121—264no—
960C2×#121—28no—
961C2×#121—24no—
962C2×#121—24no—
963C2×#121—24no—
964C2×#121—28no—
965C2×#121—28no—
966C2×#121—22no—
967C2×#121—232no—
968C2×#121—232no—
969C2×#121—22no—
970C2×#121—28no—
971C2×#121—24no—
972C2×#121—24no—
973C2×#121—24no—
974C2×#121—24no—
975C2×#121—28no—
976C2×#121—22no—
977C2×#121—24no—
978C2×#121—28no—
979C2×#121—24no—
980C2×#121—24no—
981C2×#121—24no—
982C2×#121—28no—
983C2×#121—28no—
984C2×#121—28no—
985C2×#121—28no—
986C2×#121—24no—
987C2×#121—28no—
988C2×#121—24no—
989C2×#121—28no—
990C2×#121—28no—
991C2×#121—28no—
992C2×#121—28no—
993C2×#121—48no—
994C2×#121—84no—
995C2×#121C2×D414yes—
996C2×#121C2×D418yes—
997C2×#121C2×D414yes—
998C2×#121C2418yes—
999C2×#121C2414yes—
1000C2×#121C2418yes—
1001C2×#121C2414yes—
1002C2×#121C2414yes—
1003C2×#121C2418yes—
1004C2×#121C2418yes—
1005C2×#121C2418yes—
1006C2×#121C2418yes—
1007C2×#120—264no—
1008C2×#120—2128no—
1009C2×#120—264no—
1010C2×#120—24no—
1011C2×#120—24no—
1012C2×#120—24no—
1013C2×#120—24no—
1014C2×#120—28no—
1015C2×#120—24no—
1016C2×#120—24no—
1017C2×#120—28no—
1018C2×#120—24no—
1019C2×#120—28no—
1020C2×#120—28no—
1021C2×#120—24no—
1022C2×#120—28no—
1023C2×#120—24no—
1024C2×#120—28no—
1025C2×#120—28no—
1026C2×#120—24no—
1027C2×#120—28no—
1028C2×#120—28no—
1029C2×#120—28no—
1030C2×#120—28no—
1031C2×#120—28no—
1032C2×#120—28no—
1033C2×#120—28no—
1034C2×#120C2×D414yes—
1035C2×#120C2×D414yes—
1036#518—264no—
1037#518—216no—
1038#518—216no—
1039C4×#41—24no—
1040C4×#41—28no—
1041C4×#41—28no—
1042C4×#41—24no—
1043C4×#41—24no—
1044C4×#41C2×D418yescomplemented
1045C2×C4×Q8C2×D412yes—
1046C2×C4×Q8C2412yes—
1047C2×C4×Q8C2412yes—
1048C2×C4×Q8C2412yes—
1049C2×C4×D4—232no—
1050C2×C4×D4—22no—
1051C2×C4×D4—24no—
1052C2×C4×D4—22no—
1053C2×C4×D4—28no—
1054C2×C4×D4—216no—
1055C2×C4×D4—216no—
1056C2×C4×D4—216no—
1057C2×C4×D4—216no—
1058C2×C4×D4—22no—
1059C2×C4×D4—24no—
1060C2×C4×D4—28no—
1061C2×C4×D4—24no—
1062C2×C4×D4—22no—
1063C2×C4×D4—24no—
1064C2×C4×D4—28no—
1065C2×C4×D4—24no—
1066C2×C4×D4—24no—
1067C2×C4×D4—28no—
1068C2×C4×D4—22no—
1069C2×C4×D4—24no—
1070C2×C4×D4—24no—
1071C2×C4×D4—24no—
1072C2×C4×D4C2×D414yes—
1073C2×C4×D4C2×D414yes—
1074C2×C4×D4C2×D414yes—
1075C2×C4×D4C2×D412yes—
1076C2×C4×D4C2×D418yes—
1077C2×C4×D4C2414yes—
1078C2×C4×D4C2414yes—
1079C2×C4×D4C2418yes—
1080C2×C4×D4C2412yes—
1081C2×C4×D4C2412yes—
1082C2×C4×D4C2414yes—
1083C2×C4×D4C2418yes—
1084C2×C4×D4C2414yes—
1085C2×C4×D4C2412yes—
1086C2×C4×D4C2414yes—
1087C2×#117—22no—
1088C2×#117—24no—
1089C2×#117—21no—
1090C2×#117—24no—
1091C2×#117—21no—
1092C2×#117C2×D412yes—
1093C2×#117C2×D414yes—
1094C2×#117C2411yescharacteristic
1095C2×#117C2414yes—
1096C2×#117C2411yescharacteristic
1097C2×#117C2414yes—
1098C2×#117C2414yes—
1099C22×C4⋊C4—22no—
1100C22×C4⋊C4C2×D414yes—
1101C22×C4⋊C4C2414yes—
1102C22×C4⋊C4C2414yes—
1103C22×C22⋊C4—24no—
1104C22×C22⋊C4—28no—
1105C22×C22⋊C4—24no—
1106C22×C22⋊C4—28no—
1107C22×C22⋊C4—24no—
1108C22×C22⋊C4—24no—
1109C22×C22⋊C4—24no—
1110C22×C22⋊C4C2×D418yes—
1111C22×C42—21no—
1112C22×C42—21no—
1113C22×C42C2414yes—
1114C22×C42C2411yescharacteristic
1115#493—216no—
1116#493—216no—
1117#493—216no—
1118#486—216no—
1119#482—216no—
1120#482—232no—
1121#477—28no—
1122#476—28no—
1123#469—232no—
1124#469—232no—
1125#466—232no—
1126#466—232no—
1127#460—28no—
1128#460—216no—
1129#460—216no—
1130#459—28no—
1131#459—216no—
1132#459—216no—
1133#459—216no—
1134#459—216no—
1135#450—216no—
1136#450—416no—
1137#449—232no—
1138#449—216no—
1139#449—232no—
1140#449—232no—
1141#447—232no—
1142#447—232no—
1143#447—216no—
1144#447—232no—
1145#447—232no—
1146#447—232no—
1147#447—416no—
1148#447—416no—
1149#447—416no—
1150#447—416no—
1151#447—416no—
1152#447—88no—
1153#447—88no—
1154C4×Q16—28no—
1155C4×SD16—28no—
1156C4×SD16—216no—
1157C4×SD16—28no—
1158C4×D8—216no—
1159C4×D8—28no—
1160#436—216no—
1161#436—216no—
1162C8×D4—216no—
1163C8×D4—216no—
1164#431—28no—
1165#427—24no—
1166C2×#107C2414yes—
1167C2×#107C2412yes—
1168C2×#106C2412yes—
1169C2×#106C2414yes—
1170#423—24no—
1171C2×C4⋊C8C2412yes—
1172C2×C4⋊C8C2412yes—
1173C2×C4⋊C8C2414yes—
1174#418—28no—
1175#418—28no—
1176#418—216no—
1177#418—48no—
1178#418—48no—
1179#417—84no—
1180#416—24no—
1181#416—24no—
1182#416—216no—
1183#416—84no—
1184C2×#103C2414yes—
1185C2×#103C2412yes—
1186C2×#103C2412yes—
1187C2×#103C2414yes—
1188C2×#103C2414yes—
1189C2×#102—48no—
1190C2×#102—48no—
1191C2×#102C2414yes—
1192C2×#102C2414yes—
1193C2×#102C2418yes—
1194C2×#102C2418yes—
1195C2×#102C2414yes—
1196C2×#102C2414yes—
1197C2×#102C2412yes—
1198C2×#102C2418yes—
1199C2×#102C2414yes—
1200C2×#102C2414yes—
1201C2×#102C2412yes—
1202C2×#102C2414yes—
1203C2×#102C2418yes—
1204C2×#102C2418yes—
1205C2×#102C2418yes—
1206C2×#102C2418yes—
1207C2×#102C2418yes—
1208C2×#102C2418yes—
1209C2×#102C2418yes—
1210C2×#102C2414yes—
1211C2×#102C2414yes—
1212#408—28no—
1213#408—216no—
1214#407—48no—
1215C2×C22⋊C8—48no—
1216C2×C22⋊C8C2418yes—
1217C2×C22⋊C8C2414yes—
1218C2×C22⋊C8C2418yes—
1219C2×C22⋊C8C2414yes—
1220C2×C22⋊C8C2414yes—
1221C2×C22⋊C8C2418yes—
1222C2×C22⋊C8C2418yes—
1223C2×C22⋊C8C2414yes—
1224C2×C22⋊C8C2414yes—
1225C2×C4×C8—24no—
1226C2×C4×C8C2412yes—
1227C2×C4×C8C2412yes—
1228C2×C4×C8C2414yes—
1229#399—28no—
1230#398—24no—
1231#397—28no—
1232#397—24no—
1233#396—24no—
1234#396—28no—
1235#396—24no—
1236#394—24no—
1237#394—28no—
1238#394—28no—
1239#394—28no—
1240#394—24no—
1241#394—28no—
1242#394—28no—
1243#394—24no—
1244#394—28no—
1245#394—28no—
1246#394—28no—
1247#392—24no—
1248#392—28no—
1249#392—28no—
1250#392—28no—
1251#392—28no—
1252#392—28no—
1253#391—24no—
1254#391—22no—
1255#391C2414yes—
1256#390—24no—
1257#390—24no—
1258#390—22no—
1259#390—24no—
1260#390—24no—
1261#390—28no—
1262#390—28no—
1263#390—24no—
1264#390—24no—
1265#390—24no—
1266#390—24no—
1267#390C2414yes—
1268#390C2418yes—
1269#390C2418yes—
1270#389—24no—
1271#389—22no—
1272#389—22no—
1273#389C2414yes—
1274#389C2414yes—
1275#388—28no—
1276#388—28no—
1277#388—24no—
1278#388—24no—
1279#387—24no—
1280#387—24no—
1281#386—24no—
1282#386—24no—
1283#386—28no—
1284#386—28no—
1285#386—28no—
1286#386—24no—
1287#386—24no—
1288#386—24no—
1289#386—28no—
1290#386—24no—
1291#386—28no—
1292#385—24no—
1293#385—24no—
1294#385—28no—
1295#385—28no—
1296#384C2412yes—
1297#384C2412yes—
1298#382—22no—
1299#380—22no—
1300#380—28no—
1301#380—22no—
1302#380—22no—
1303#380C2414yes—
1304#380C2418yes—
1305#380C2414yes—
1306#380C2414yes—
1307#379—28no—
1308#379—24no—
1309#379—24no—
1310#379—28no—
1311C4×C4⋊C4—24no—
1312C4×C4⋊C4—22no—
1313C4×C4⋊C4—24no—
1314C4×C4⋊C4C2414yes—
1315C4×C22⋊C4—24no—
1316C4×C22⋊C4—24no—
1317#340C2414yes—
1318#340C2414yes—
1319#340C2418yes—
1320#340C2418yes—
1321#340C2414yes—
1322#340C2414yes—
1323#340C2414yes—
1324#340C2414yes—
1325#340C2414yes—
1326#340C2414yes—
1327#336C2418yes—
1328#336C2418yes—
1329#336C2414yes—
1330#336C2414yes—
1331#336C2414yes—
1332#336C2414yes—
1333C25—232no—
1334C25—24no—
1335C25—24no—
1336C25—28no—
1337C25—24no—
1338C25—22no—
1339C25—24no—
1340C25—22no—
1341C25—816no—
1342C25—88no—
1343C25—88no—
1344C25—816no—
1345C25C22×D414yes—
1346H(5,𝔽2)—432no—
1347H(5,𝔽2)—432no—
1348H(5,𝔽2)—816no—
1349H(5,𝔽2)—816no—
1350H(5,𝔽2)—816no—
1351H(5,𝔽2)—816no—
1352H(5,𝔽2)—8128no—
1353H(5,𝔽2)—816no—
1354H(5,𝔽2)—816no—
1355C2×#41—232no—
1356C2×#41—232no—
1357C2×#41—216no—
1358C2×#41—28no—
1359C2×#41—28no—
1360C2×#41—216no—
1361C2×#41—22no—
1362C2×#41—28no—
1363C2×#41—22no—
1364C2×#41—28no—
1365C2×#41—22no—
1366C2×#41—22no—
1367C2×#41—22no—
1368C2×#41—22no—
1369C2×#41—22no—
1370C2×#41—28no—
1371C2×#41—28no—
1372C2×#41—42no—
1373C2×#41—42no—
1374C2×#41—42no—
1375C2×#41—42no—
1376C2×#41—44no—
1377C2×#41—41no—
1378C2×#41—41no—
1379C2×#41—41no—
1380C2×#41—41no—
1381C2×#41—44no—
1382C2×#41—44no—
1383C2×#41—44no—
1384C2×#41—44no—
1385C2×#41—44no—
1386C2×#41—44no—
1387C2×#41—44no—
1388C2×#41—48no—
1389C2×#41—84no—
1390C2×#41—84no—
1391C2×#41—88no—
1392C2×#41—84no—
1393C2×#41—84no—
1394C2×#41—84no—
1395C2×#41—84no—
1396C2×#41—88no—
1397C2×#41—88no—
1398C2×#41—88no—
1399C2×#41C22×D414yes—
1400C2×#41C22×D4116yes—
1401C2×#41C22×D418yes—
1402C2×#41C22×D418yes—
1403C22×Q8—22no—
1404C22×Q8C22×D412yes—
1405C22×Q8C22×D412yes—
1406C22×Q8C2511yescharacteristic
1407C22×Q8C2511yescharacteristic
1408C22×D4—28no—
1409C22×D4—28no—
1410C22×D4—216no—
1411C22×D4—232no—
1412C22×D4—21no—
1413C22×D4—28no—
1414C22×D4—24no—
1415C22×D4—232no—
1416C22×D4—264no—
1417C22×D4—264no—
1418C22×D4—264no—
1419C22×D4—264no—
1420C22×D4—232no—
1421C22×D4—264no—
1422C22×D4—232no—
1423C22×D4—24no—
1424C22×D4—24no—
1425C22×D4—28no—
1426C22×D4—28no—
1427C22×D4—216no—
1428C22×D4—216no—
1429C22×D4—28no—
1430C22×D4—28no—
1431C22×D4—216no—
1432C22×D4—232no—
1433C22×D4—232no—
1434C22×D4—232no—
1435C22×D4—216no—
1436C22×D4—216no—
1437C22×D4—28no—
1438C22×D4—28no—
1439C22×D4—28no—
1440C22×D4—21no—
1441C22×D4—24no—
1442C22×D4—24no—
1443C22×D4—28no—
1444C22×D4—28no—
1445C22×D4—28no—
1446C22×D4—216no—
1447C22×D4—24no—
1448C22×D4—24no—
1449C22×D4—22no—
1450C22×D4—24no—
1451C22×D4—28no—
1452C22×D4—22no—
1453C22×D4—28no—
1454C22×D4—24no—
1455C22×D4—22no—
1456C22×D4—24no—
1457C22×D4—28no—
1458C22×D4—28no—
1459C22×D4—24no—
1460C22×D4—28no—
1461C22×D4—24no—
1462C22×D4—28no—
1463C22×D4—28no—
1464C22×D4—24no—
1465C22×D4—24no—
1466C22×D4—24no—
1467C22×D4—24no—
1468C22×D4—22no—
1469C22×D4—48no—
1470C22×D4—44no—
1471C22×D4—44no—
1472C22×D4—44no—
1473C22×D4—44no—
1474C22×D4—44no—
1475C22×D4—42no—
1476C22×D4—42no—
1477C22×D4—42no—
1478C22×D4—42no—
1479C22×D4—44no—
1480C22×D4—44no—
1481C22×D4—44no—
1482C22×D4—42no—
1483C22×D4—42no—
1484C22×D4—42no—
1485C22×D4—42no—
1486C22×D4—44no—
1487C22×D4—44no—
1488C22×D4—44no—
1489C22×D4—48no—
1490C22×D4—48no—
1491C22×D4—48no—
1492C22×D4—48no—
1493C22×D4—48no—
1494C22×D4—416no—
1495C22×D4—48no—
1496C22×D4—416no—
1497C22×D4—48no—
1498C22×D4—416no—
1499C22×D4—416no—
1500C22×D4—48no—
1501C22×D4—88no—
1502C22×D4—88no—
1503C22×D4—84no—
1504C22×D4—84no—
1505C22×D4—84no—
1506C22×D4—84no—
1507C22×D4—88no—
1508C22×D4—88no—
1509C22×D4—88no—
1510C22×D4—88no—
1511C22×D4—88no—
1512C22×D4—88no—
1513C22×D4—88no—
1514C22×D4—84no—
1515C22×D4—88no—
1516C22×D4—88no—
1517C22×D4—816no—
1518C22×D4—816no—
1519C22×D4—88no—
1520C22×D4—84no—
1521C22×D4—84no—
1522C22×D4—84no—
1523C22×D4—88no—
1524C22×D4—832no—
1525C22×D4—816no—
1526C22×D4—816no—
1527C22×D4—816no—
1528C22×D4—832no—
1529C22×D4—832no—
1530C22×D4—88no—
1531C22×D4—88no—
1532C22×D4—88no—
1533C22×D4—832no—
1534C22×D4—8256no—
1535C22×D4—816no—
1536C22×D4—816no—
1537C22×D4—816no—
1538C22×D4—816no—
1539C22×D4—816no—
1540C22×D4—816no—
1541C22×D4—88no—
1542C22×D4C22×D414yes—
1543C22×D4C22×D418yes—
1544C22×D4C22×D414yes—
1545C22×D4C22×D412yes—
1546C22×D4C22×D4116yes—
1547C22×D4C22×D418yes—
1548C22×D4C22×D4116yes—
1549C22×D4C22×D414yes—
1550C22×D4C22×D412yes—
1551C22×D4C2514yes—
1552C22×D4C2514yes—
1553C22×D4C2514yes—
1554C22×D4C2511yescharacteristic
1555C22×D4C2511yescharacteristic
1556C23×C4—232no—
1557C23×C4—24no—
1558C23×C4—21no—
1559C23×C4—22no—
1560C23×C4—24no—
1561C23×C4—24no—
1562C23×C4—24no—
1563C23×C4—28no—
1564C23×C4—28no—
1565C23×C4—28no—
1566C23×C4—24no—
1567C23×C4—24no—
1568C23×C4—21no—
1569C23×C4—22no—
1570C23×C4—24no—
1571C23×C4—44no—
1572C23×C4—44no—
1573C23×C4—44no—
1574C23×C4—44no—
1575C23×C4—88no—
1576C23×C4—88no—
1577C23×C4C22×D414yes—
1578C23×C4C22×D414yes—
1579C23×C4C22×D412yes—
1580C23×C4C22×D418yes—
1581C23×C4C22×D414yes—
1582C23×C4C2514yes—
1583C23×C4C2514yes—
1584C23×C4C2511yescharacteristic
1585AGL(1,ℤ/8)—464no—
1586AGL(1,ℤ/8)—464no—
1587AGL(1,ℤ/8)—432no—
1588AGL(1,ℤ/8)—432no—
1589AGL(1,ℤ/8)—832no—
1590#135—232no—
1591#135—464no—
1592C2×Q16—22no—
1593C2×Q16—22no—
1594C2×Q16—22no—
1595C2×SD16—22no—
1596C2×SD16—22no—
1597C2×SD16—22no—
1598C2×SD16—22no—
1599C2×SD16—28no—
1600C2×SD16—28no—
1601C2×SD16—28no—
1602C2×SD16—28no—
1603C2×SD16—28no—
1604C2×SD16—22no—
1605C2×SD16—44no—
1606C2×SD16—44no—
1607C2×SD16—44no—
1608C2×SD16—44no—
1609C2×SD16H(5,𝔽2)14yescomplemented
1610C2×D8—22no—
1611C2×D8—22no—
1612C2×D8—28no—
1613C2×D8—28no—
1614C2×D8—28no—
1615C2×D8—28no—
1616C2×D8—28no—
1617C2×D8—28no—
1618C2×D8—28no—
1619C2×D8—28no—
1620C2×D8—28no—
1621C2×D8—216no—
1622C2×D8—216no—
1623C2×D8—216no—
1624C2×D8—28no—
1625C2×D8—28no—
1626C2×D8—44no—
1627C2×D8—44no—
1628C2×D8—44no—
1629C2×D8—44no—
1630C2×D8—432no—
1631C2×D8—48no—
1632C2×D8—48no—
1633C2×D8—48no—
1634C2×D8—48no—
1635C2×D8—48no—
1636C2×D8—48no—
1637C2×D8—464no—
1638C2×D8—816no—
1639C2×D8—832no—
1640C2×D8H(5,𝔽2)14yescomplemented
1641#131—432no—
1642C2×M16—24no—
1643C2×M16—28no—
1644C2×M16—28no—
1645C2×M16—28no—
1646C2×M16—44no—
1647C2×M16—42no—
1648C2×M16—42no—
1649C2×M16—44no—
1650C2×M16—44no—
1651C22×C8—22no—
1652C22×C8—22no—
1653C22×C8—22no—
1654C22×C8—28no—
1655C22×C8—22no—
1656C22×C8—28no—
1657C22×C8—28no—
1658C22×C8—44no—
1659C22×C8—41no—
1660C22×C8—41no—
1661C22×C8—44no—
1662C22×C8—44no—
1663C22×C8C2514yes—
1664C22×C8C2514yes—
1665C22×C8C2512yes—
1666C22×C8C2514yes—
1667C22×C8C2511yescharacteristic
1668C22×C8C2511yescharacteristic
1669C4⋊Q8—24no—
1670C4⋊Q8#12018yes—
1671C4⋊Q8C22×D418yes—
1672#127—232no—
1673#127—232no—
1674#127—216no—
1675#127—232no—
1676#127—232no—
1677#127—216no—
1678#127—216no—
1679#127—28no—
1680#127—28no—
1681#127—24no—
1682#127—28no—
1683#127—28no—
1684#127—28no—
1685#127—48no—
1686#127—416no—
1687#127—416no—
1688#127—44no—
1689#127—44no—
1690#127#12018yes—
1691#127C22×D418yes—
1692#127C22×D4116yes—
1693#126—232no—
1694#126—232no—
1695#126—264no—
1696#126—232no—
1697#125—216no—
1698#125—216no—
1699#125—28no—
1700#125—28no—
1701#124—216no—
1702#124—232no—
1703#124—216no—
1704#124—232no—
1705#124—28no—
1706#124—216no—
1707#124—28no—
1708#124—264no—
1709#124—216no—
1710#124—48no—
1711#124—88no—
1712#124#120116yes—
1713#123—232no—
1714#123—264no—
1715#123—232no—
1716#123—232no—
1717#123—232no—
1718#123—232no—
1719#123—264no—
1720#123—264no—
1721#123—264no—
1722#123—216no—
1723#123—216no—
1724#123—232no—
1725#123—88no—
1726C22⋊Q8—216no—
1727C22⋊Q8—232no—
1728C22⋊Q8—232no—
1729C22⋊Q8—232no—
1730C22⋊Q8—28no—
1731C22⋊Q8—216no—
1732C22⋊Q8—28no—
1733C22⋊Q8—28no—
1734C22⋊Q8—44no—
1735C22⋊Q8—84no—
1736#121—216no—
1737#121—232no—
1738#121—264no—
1739#121—264no—
1740#121—264no—
1741#121—232no—
1742#121—232no—
1743#121—264no—
1744#121—264no—
1745#121—264no—
1746#121—232no—
1747#121—232no—
1748#121—264no—
1749#121—264no—
1750#121—264no—
1751#121—264no—
1752#121—264no—
1753#121—216no—
1754#121—232no—
1755#121—232no—
1756#121—28no—
1757#121—216no—
1758#121—216no—
1759#121—216no—
1760#121—216no—
1761#121—28no—
1762#121—232no—
1763#121—232no—
1764#121—28no—
1765#121—216no—
1766#121—264no—
1767#121—28no—
1768#121—216no—
1769#121—216no—
1770#121—44no—
1771#121—48no—
1772#121—416no—
1773#121—432no—
1774#121—48no—
1775#121—48no—
1776#121—48no—
1777#121—48no—
1778#121—816no—
1779#121—816no—
1780#121—88no—
1781#121—88no—
1782#121—88no—
1783#121—88no—
1784#121#120132yes—
1785#121C22×D4132yes—
1786#121C22×D4132yes—
1787#121C22×D4116yes—
1788#120—232no—
1789#120—232no—
1790#120—232no—
1791#120—264no—
1792#120—232no—
1793#120—264no—
1794#120—232no—
1795#120—264no—
1796#120—264no—
1797#120—264no—
1798#120—264no—
1799#120—264no—
1800#120—264no—
1801#120—216no—
1802#120—216no—
1803#120—232no—
1804#120—232no—
1805#120—232no—
1806#120—264no—
1807#120—264no—
1808#120—416no—
1809#120—432no—
1810#120—88no—
1811#120—816no—
1812#120—816no—
1813#120—816no—
1814C4×Q8—28no—
1815C4×Q8—24no—
1816C4×Q8—24no—
1817C4×Q8—24no—
1818C4×Q8—24no—
1819C4×Q8—24no—
1820C4×Q8C22×D418yes—
1821C4×D4—216no—
1822C4×D4—232no—
1823C4×D4—232no—
1824C4×D4—232no—
1825C4×D4—232no—
1826C4×D4—216no—
1827C4×D4—264no—
1828C4×D4—264no—
1829C4×D4—264no—
1830C4×D4—232no—
1831C4×D4—216no—
1832C4×D4—28no—
1833C4×D4—28no—
1834C4×D4—216no—
1835C4×D4—216no—
1836C4×D4—216no—
1837C4×D4—216no—
1838C4×D4—216no—
1839C4×D4—28no—
1840C4×D4—28no—
1841C4×D4—216no—
1842C4×D4—232no—
1843C4×D4—28no—
1844C4×D4—28no—
1845C4×D4—216no—
1846C4×D4—232no—
1847C4×D4—28no—
1848C4×D4—216no—
1849C4×D4—24no—
1850C4×D4—24no—
1851C4×D4—24no—
1852C4×D4—28no—
1853C4×D4—24no—
1854C4×D4—24no—
1855C4×D4—48no—
1856C4×D4—416no—
1857C4×D4—88no—
1858C4×D4—88no—
1859C4×D4—816no—
1860C4×D4C22×D418yes—
1861C4×D4C22×D4116yes—
1862C4×D4C22×D4116yes—
1863C4×D4C22×D4116yes—
1864#117—232no—
1865#117—28no—
1866#117—22no—
1867#117—28no—
1868#117—28no—
1869#117—28no—
1870#117—232no—
1871#117—28no—
1872#117—216no—
1873#117—22no—
1874#117—22no—
1875#117—44no—
1876#117—44no—
1877#117—44no—
1878#117—84no—
1879#117C22×D414yes—
1880#117C22×D4116yes—
1881C2×C4⋊C4—216no—
1882C2×C4⋊C4—22no—
1883C2×C4⋊C4—24no—
1884C2×C4⋊C4—24no—
1885C2×C4⋊C4—24no—
1886C2×C4⋊C4—24no—
1887C2×C4⋊C4—22no—
1888C2×C4⋊C4—216no—
1889C2×C4⋊C4—28no—
1890C2×C4⋊C4—28no—
1891C2×C4⋊C4—22no—
1892C2×C4⋊C4—22no—
1893C2×C4⋊C4—24no—
1894C2×C4⋊C4—22no—
1895C2×C4⋊C4—24no—
1896C2×C4⋊C4—22no—
1897C2×C4⋊C4—22no—
1898C2×C4⋊C4—24no—
1899C2×C4⋊C4—24no—
1900C2×C4⋊C4—44no—
1901C2×C4⋊C4—44no—
1902C2×C4⋊C4C22×D412yes—
1903C2×C4⋊C4C22×D412yes—
1904C2×C4⋊C4C22×D418yes—
1905C2×C4⋊C4C22×D414yes—
1906C2×C4⋊C4C22×D414yes—
1907C2×C4⋊C4C22×D418yes—
1908C2×C4⋊C4C22×D414yes—
1909C2×C4⋊C4C2514yes—
1910C2×C4⋊C4C2514yes—
1911C2×C4⋊C4C2512yes—
1912C2×C4⋊C4C2512yes—
1913C2×C4⋊C4C2514yes—
1914C2×C22⋊C4—232no—
1915C2×C22⋊C4—232no—
1916C2×C22⋊C4—264no—
1917C2×C22⋊C4—232no—
1918C2×C22⋊C4—232no—
1919C2×C22⋊C4—264no—
1920C2×C22⋊C4—24no—
1921C2×C22⋊C4—24no—
1922C2×C22⋊C4—21no—
1923C2×C22⋊C4—24no—
1924C2×C22⋊C4—22no—
1925C2×C22⋊C4—24no—
1926C2×C22⋊C4—24no—
1927C2×C22⋊C4—28no—
1928C2×C22⋊C4—24no—
1929C2×C22⋊C4—24no—
1930C2×C22⋊C4—28no—
1931C2×C22⋊C4—28no—
1932C2×C22⋊C4—24no—
1933C2×C22⋊C4—24no—
1934C2×C22⋊C4—28no—
1935C2×C22⋊C4—232no—
1936C2×C22⋊C4—21no—
1937C2×C22⋊C4—24no—
1938C2×C22⋊C4—24no—
1939C2×C22⋊C4—24no—
1940C2×C22⋊C4—22no—
1941C2×C22⋊C4—28no—
1942C2×C22⋊C4—24no—
1943C2×C22⋊C4—24no—
1944C2×C22⋊C4—28no—
1945C2×C22⋊C4—24no—
1946C2×C22⋊C4—28no—
1947C2×C22⋊C4—24no—
1948C2×C22⋊C4—28no—
1949C2×C22⋊C4—28no—
1950C2×C22⋊C4—28no—
1951C2×C22⋊C4—28no—
1952C2×C22⋊C4—28no—
1953C2×C22⋊C4—24no—
1954C2×C22⋊C4—88no—
1955C2×C22⋊C4C22×D418yes—
1956C2×C22⋊C4C22×D414yes—
1957C2×C22⋊C4C22×D414yes—
1958C2×C22⋊C4C22×D414yes—
1959C2×C22⋊C4C22×D414yes—
1960C2×C22⋊C4C22×D418yes—
1961C2×C22⋊C4C22×D414yes—
1962C2×C22⋊C4C22×D418yes—
1963C2×C42—24no—
1964C2×C42—22no—
1965C2×C42—21no—
1966C2×C42—28no—
1967C2×C42—28no—
1968C2×C42—28no—
1969C2×C42—21no—
1970C2×C42—24no—
1971C2×C42—22no—
1972C2×C42—24no—
1973C2×C42—44no—
1974C2×C42C22×D414yes—
1975C2×C42C22×D414yes—
1976C2×C42C22×D411yescharacteristic
1977C2×C42C22×D411yescharacteristic
1978C2×C42C22×D414yes—
1979C2×C42C22×D414yes—
1980C2×C42C2514yes—
1981C2×C42C2512yes—
1982#107—24no—
1983#107—28no—
1984#106—24no—
1985#106—28no—
1986C4⋊C8—28no—
1987C4⋊C8—24no—
1988C4⋊C8—24no—
1989#103—24no—
1990#103—28no—
1991#103—24no—
1992#103—44no—
1993#103—44no—
1994#102—24no—
1995#102—216no—
1996#102—28no—
1997#102—28no—
1998#102—28no—
1999#102—28no—
2000#102—28no—
2001#102—28no—
2002#102—24no—
2003#102—216no—
2004#102—28no—
2005#102—216no—
2006#102—216no—
2007#102—48no—
2008#102—48no—
2009#102—48no—
2010#102—48no—
2011#102—48no—
2012#102—48no—
2013#102—44no—
2014#102—44no—
2015C22⋊C8—28no—
2016C22⋊C8—216no—
2017C22⋊C8—216no—
2018C22⋊C8—28no—
2019C22⋊C8—28no—
2020C22⋊C8—48no—
2021C22⋊C8—48no—
2022C22⋊C8—44no—
2023C22⋊C8—44no—
2024C4×C8—24no—
2025C4×C8—24no—
2026C4×C8—28no—
2027#95—24no—
2028#95—24no—
2029#95—24no—
2030#95—24no—
2031#95—24no—
2032#95—24no—
2033#95—24no—
2034#95—28no—
2035#95—24no—
2036C24—21no—
2037C24—216no—
2038C24—232no—
2039C24—21no—
2040C24—24no—
2041C24—24no—
2042C24—28no—
2043C24—216no—
2044C24—216no—
2045C24—216no—
2046C24—28no—
2047C24—24no—
2048C24—44no—
2049C24—48no—
2050C24—44no—
2051C24—48no—
2052C24—48no—
2053C24—48no—
2054C24—48no—
2055C24—48no—
2056C24—48no—
2057C24—416no—
2058C24—48no—
2059C24—416no—
2060C24—48no—
2061C24—44no—
2062C24—84no—
2063C24—84no—
2064C24—88no—
2065C24—84no—
2066C24—88no—
2067C24—84no—
2068C24—88no—
2069C24—88no—
2070C24—88no—
2071C24—88no—
2072C24—88no—
2073C24—88no—
2074C24—84no—
2075C24—82no—
2076C24—82no—
2077C24—82no—
2078C24—82no—
2079C24—84no—
2080C24—84no—
2081C24—88no—
2082C24—88no—
2083C24—84no—
2084C24—84no—
2085C24—8128no—
2086C24—864no—
2087C24—1632no—
2088C24—1664no—
2089C24—1632no—
2090C24C23×D411yescharacteristic
2091C24C23×D414yes—
2092C24C23×D414yes—
2093#41—28no—
2094#41—28no—
2095#41—48no—
2096#41—48no—
2097#41—48no—
2098#41—48no—
2099#41—44no—
2100#41—44no—
2101#41—44no—
2102#41—44no—
2103#41—432no—
2104#41—44no—
2105#41—44no—
2106#41—416no—
2107#41—416no—
2108#41—416no—
2109#41—416no—
2110#41—832no—
2111#41—88no—
2112#41—88no—
2113#41—88no—
2114#41—88no—
2115#41—832no—
2116#41—864no—
2117#41—864no—
2118#41—832no—
2119C2×Q8—24no—
2120C2×Q8—21no—
2121C2×Q8—21no—
2122C2×Q8—24no—
2123C2×Q8—28no—
2124C2×Q8—24no—
2125C2×Q8—21no—
2126C2×Q8—21no—
2127C2×Q8—21no—
2128C2×Q8—21no—
2129C2×Q8—21no—
2130C2×Q8—21no—
2131C2×Q8—21no—
2132C2×Q8—21no—
2133C2×Q8—42no—
2134C2×Q8—42no—
2135C2×Q8—82no—
2136C2×Q8—82no—
2137C2×Q8C2×#12018yes—
2138C2×Q8C23×D412yes—
2139C2×Q8C2×H(5,𝔽2)12yes—
2140C2×D4—232no—
2141C2×D4—232no—
2142C2×D4—216no—
2143C2×D4—216no—
2144C2×D4—24no—
2145C2×D4—28no—
2146C2×D4—216no—
2147C2×D4—28no—
2148C2×D4—216no—
2149C2×D4—232no—
2150C2×D4—232no—
2151C2×D4—232no—
2152C2×D4—216no—
2153C2×D4—216no—
2154C2×D4—232no—
2155C2×D4—232no—
2156C2×D4—24no—
2157C2×D4—28no—
2158C2×D4—21no—
2159C2×D4—21no—
2160C2×D4—21no—
2161C2×D4—24no—
2162C2×D4—24no—
2163C2×D4—24no—
2164C2×D4—24no—
2165C2×D4—24no—
2166C2×D4—24no—
2167C2×D4—24no—
2168C2×D4—24no—
2169C2×D4—21no—
2170C2×D4—24no—
2171C2×D4—24no—
2172C2×D4—21no—
2173C2×D4—21no—
2174C2×D4—24no—
2175C2×D4—24no—
2176C2×D4—24no—
2177C2×D4—24no—
2178C2×D4—21no—
2179C2×D4—21no—
2180C2×D4—24no—
2181C2×D4—24no—
2182C2×D4—24no—
2183C2×D4—216no—
2184C2×D4—28no—
2185C2×D4—216no—
2186C2×D4—28no—
2187C2×D4—216no—
2188C2×D4—28no—
2189C2×D4—216no—
2190C2×D4—28no—
2191C2×D4—416no—
2192C2×D4—48no—
2193C2×D4—416no—
2194C2×D4—48no—
2195C2×D4—416no—
2196C2×D4—416no—
2197C2×D4—416no—
2198C2×D4—416no—
2199C2×D4—416no—
2200C2×D4—48no—
2201C2×D4—44no—
2202C2×D4—44no—
2203C2×D4—42no—
2204C2×D4—42no—
2205C2×D4—44no—
2206C2×D4—48no—
2207C2×D4—48no—
2208C2×D4—48no—
2209C2×D4—48no—
2210C2×D4—42no—
2211C2×D4—48no—
2212C2×D4—48no—
2213C2×D4—48no—
2214C2×D4—48no—
2215C2×D4—416no—
2216C2×D4—416no—
2217C2×D4—464no—
2218C2×D4—416no—
2219C2×D4—464no—
2220C2×D4—4128no—
2221C2×D4—42no—
2222C2×D4—42no—
2223C2×D4—42no—
2224C2×D4—48no—
2225C2×D4—416no—
2226C2×D4—42no—
2227C2×D4—48no—
2228C2×D4—416no—
2229C2×D4—416no—
2230C2×D4—48no—
2231C2×D4—48no—
2232C2×D4—48no—
2233C2×D4—416no—
2234C2×D4—416no—
2235C2×D4—416no—
2236C2×D4—44no—
2237C2×D4—48no—
2238C2×D4—48no—
2239C2×D4—48no—
2240C2×D4—48no—
2241C2×D4—44no—
2242C2×D4—48no—
2243C2×D4—44no—
2244C2×D4—48no—
2245C2×D4—48no—
2246C2×D4—88no—
2247C2×D4—88no—
2248C2×D4—88no—
2249C2×D4—84no—
2250C2×D4—84no—
2251C2×D4—84no—
2252C2×D4—84no—
2253C2×D4—88no—
2254C2×D4—832no—
2255C2×D4—84no—
2256C2×D4—84no—
2257C2×D4—88no—
2258C2×D4—88no—
2259C2×D4—84no—
2260C2×D4—82no—
2261C2×D4—82no—
2262C2×D4—82no—
2263C2×D4—82no—
2264C2×D4—88no—
2265C2×D4—88no—
2266C2×D4—82no—
2267C2×D4—84no—
2268C2×D4—82no—
2269C2×D4—84no—
2270C2×D4—88no—
2271C2×D4—88no—
2272C2×D4—84no—
2273C2×D4—84no—
2274C2×D4—816no—
2275C2×D4—816no—
2276C2×D4—816no—
2277C2×D4—816no—
2278C2×D4—864no—
2279C2×D4—864no—
2280C2×D4—864no—
2281C2×D4—832no—
2282C2×D4—832no—
2283C2×D4—84no—
2284C2×D4—88no—
2285C2×D4—88no—
2286C2×D4—88no—
2287C2×D4—88no—
2288C2×D4—84no—
2289C2×D4—84no—
2290C2×D4—84no—
2291C2×D4—84no—
2292C2×D4—84no—
2293C2×D4—864no—
2294C2×D4—88no—
2295C2×D4—88no—
2296C2×D4—88no—
2297C2×D4—88no—
2298C2×D4—88no—
2299C2×D4—88no—
2300C2×D4—864no—
2301C2×D4—8128no—
2302C2×D4—864no—
2303C2×D4—8128no—
2304C2×D4—8128no—
2305C2×D4—8128no—
2306C2×D4—8128no—
2307C2×D4—864no—
2308C2×D4—1616no—
2309C2×D4—1632no—
2310C2×D4—1632no—
2311C2×D4C2×#120116yes—
2312C2×D4C2×#12018yes—
2313C2×D4C2×#120116yes—
2314C2×D4#57618yescomplemented
2315C2×D4C23×D418yes—
2316C2×D4C23×D418yes—
2317C2×D4C23×D412yes—
2318C2×D4C2×H(5,𝔽2)12yes—
2319C2×D4C2×H(5,𝔽2)12yes—
2320C2×D4C2×H(5,𝔽2)12yes—
2321C22×C4—24no—
2322C22×C4—24no—
2323C22×C4—24no—
2324C22×C4—21no—
2325C22×C4—21no—
2326C22×C4—24no—
2327C22×C4—24no—
2328C22×C4—21no—
2329C22×C4—21no—
2330C22×C4—24no—
2331C22×C4—21no—
2332C22×C4—21no—
2333C22×C4—24no—
2334C22×C4—22no—
2335C22×C4—28no—
2336C22×C4—216no—
2337C22×C4—216no—
2338C22×C4—232no—
2339C22×C4—216no—
2340C22×C4—28no—
2341C22×C4—28no—
2342C22×C4—24no—
2343C22×C4—24no—
2344C22×C4—24no—
2345C22×C4—24no—
2346C22×C4—24no—
2347C22×C4—24no—
2348C22×C4—24no—
2349C22×C4—28no—
2350C22×C4—28no—
2351C22×C4—28no—
2352C22×C4—216no—
2353C22×C4—28no—
2354C22×C4—216no—
2355C22×C4—216no—
2356C22×C4—22no—
2357C22×C4—24no—
2358C22×C4—24no—
2359C22×C4—44no—
2360C22×C4—42no—
2361C22×C4—44no—
2362C22×C4—48no—
2363C22×C4—48no—
2364C22×C4—44no—
2365C22×C4—48no—
2366C22×C4—42no—
2367C22×C4—42no—
2368C22×C4—42no—
2369C22×C4—44no—
2370C22×C4—48no—
2371C22×C4—42no—
2372C22×C4—44no—
2373C22×C4—48no—
2374C22×C4—44no—
2375C22×C4—44no—
2376C22×C4—48no—
2377C22×C4—44no—
2378C22×C4—88no—
2379C22×C4—88no—
2380C22×C4—88no—
2381C22×C4—88no—
2382C22×C4—84no—
2383C22×C4—84no—
2384C22×C4—84no—
2385C22×C4—84no—
2386C22×C4—84no—
2387C22×C4—84no—
2388C22×C4—84no—
2389C22×C4—88no—
2390C22×C4—88no—
2391C22×C4—864no—
2392C22×C4—84no—
2393C22×C4—84no—
2394C22×C4—84no—
2395C22×C4—88no—
2396C22×C4C2×#12018yes—
2397C22×C4C23×D414yes—
2398C22×C4C23×D414yes—
2399C22×C4C23×D414yes—
2400C22×C4C23×D412yes—
2401C22×C4C23×D418yes—
2402C22×C4C23×D418yes—
2403C22×C4C23×D412yes—
2404C22×C4C23×D411yescharacteristic
2405C22×C4C23×D414yes—
2406C22×C4C23×D412yes—
2407C22×C4C23×D412yes—
2408C22×C4C2611yescharacteristic
2409Q16—28no—
2410SD16—28no—
2411SD16—28no—
2412SD16—416no—
2413SD16—416no—
2414SD16—416no—
2415D8—28no—
2416D8—416no—
2417D8—416no—
2418D8—416no—
2419D8—416no—
2420D8—416no—
2421D8—816no—
2422D8—816no—
2423D8—816no—
2424M16—416no—
2425M16—48no—
2426M16—88no—
2427C2×C8—28no—
2428C2×C8—21no—
2429C2×C8—21no—
2430C2×C8—21no—
2431C2×C8—21no—
2432C2×C8—22no—
2433C2×C8—24no—
2434C2×C8—24no—
2435C2×C8—24no—
2436C2×C8—24no—
2437C2×C8—24no—
2438C2×C8—24no—
2439C2×C8—24no—
2440C2×C8—22no—
2441C2×C8—22no—
2442C2×C8—24no—
2443C2×C8—24no—
2444C2×C8—416no—
2445C2×C8—44no—
2446C2×C8—88no—
2447C2×C8C2×H(5,𝔽2)12yes—
2448C2×C8C2×H(5,𝔽2)12yes—
2449C4⋊C4—216no—
2450C4⋊C4—216no—
2451C4⋊C4—216no—
2452C4⋊C4—216no—
2453C4⋊C4—22no—
2454C4⋊C4—24no—
2455C4⋊C4—24no—
2456C4⋊C4—24no—
2457C4⋊C4—28no—
2458C4⋊C4—216no—
2459C4⋊C4—28no—
2460C4⋊C4—216no—
2461C4⋊C4—28no—
2462C4⋊C4—28no—
2463C4⋊C4—22no—
2464C4⋊C4—22no—
2465C4⋊C4—24no—
2466C4⋊C4—24no—
2467C4⋊C4—24no—
2468C4⋊C4—24no—
2469C4⋊C4—48no—
2470C4⋊C4—44no—
2471C4⋊C4—44no—
2472C4⋊C4—44no—
2473C4⋊C4—84no—
2474C4⋊C4—82no—
2475C4⋊C4—82no—
2476C4⋊C4—84no—
2477C4⋊C4—84no—
2478C4⋊C4C2×#120116yes—
2479C4⋊C4C23×D414yes—
2480C4⋊C4C23×D418yes—
2481C22⋊C4—216no—
2482C22⋊C4—216no—
2483C22⋊C4—216no—
2484C22⋊C4—216no—
2485C22⋊C4—216no—
2486C22⋊C4—216no—
2487C22⋊C4—232no—
2488C22⋊C4—232no—
2489C22⋊C4—216no—
2490C22⋊C4—28no—
2491C22⋊C4—28no—
2492C22⋊C4—216no—
2493C22⋊C4—24no—
2494C22⋊C4—28no—
2495C22⋊C4—216no—
2496C22⋊C4—28no—
2497C22⋊C4—232no—
2498C22⋊C4—28no—
2499C22⋊C4—28no—
2500C22⋊C4—216no—
2501C22⋊C4—232no—
2502C22⋊C4—216no—
2503C22⋊C4—48no—
2504C22⋊C4—48no—
2505C22⋊C4—42no—
2506C22⋊C4—48no—
2507C22⋊C4—44no—
2508C22⋊C4—416no—
2509C22⋊C4—88no—
2510C22⋊C4—84no—
2511C22⋊C4—88no—
2512C22⋊C4—88no—
2513C22⋊C4—88no—
2514C22⋊C4—88no—
2515C22⋊C4—88no—
2516C22⋊C4—84no—
2517C22⋊C4—84no—
2518C22⋊C4—84no—
2519C22⋊C4—84no—
2520C22⋊C4—88no—
2521C22⋊C4C2×#120132yes—
2522C42—24no—
2523C42—24no—
2524C42—28no—
2525C42—24no—
2526C42—28no—
2527C42—28no—
2528C42—216no—
2529C42—42no—
2530C42—44no—
2531C42—48no—
2532C42—84no—
2533C42C2×#12014yes—
2534C42C2×#12014yes—
2535C42C23×D414yes—
2536C42C23×D414yes—
2537C23—24no—
2538C23—24no—
2539C23—24no—
2540C23—24no—
2541C23—21no—
2542C23—21no—
2543C23—22no—
2544C23—22no—
2545C23—22no—
2546C23—24no—
2547C23—28no—
2548C23—24no—
2549C23—22no—
2550C23—24no—
2551C23—28no—
2552C23—24no—
2553C23—22no—
2554C23—22no—
2555C23—28no—
2556C23—28no—
2557C23—432no—
2558C23—416no—
2559C23—432no—
2560C23—432no—
2561C23—432no—
2562C23—464no—
2563C23—42no—
2564C23—42no—
2565C23—41no—
2566C23—44no—
2567C23—44no—
2568C23—44no—
2569C23—44no—
2570C23—42no—
2571C23—44no—
2572C23—48no—
2573C23—44no—
2574C23—42no—
2575C23—44no—
2576C23—48no—
2577C23—44no—
2578C23—41no—
2579C23—44no—
2580C23—44no—
2581C23—48no—
2582C23—48no—
2583C23—44no—
2584C23—88no—
2585C23—816no—
2586C23—816no—
2587C23—832no—
2588C23—832no—
2589C23—88no—
2590C23—816no—
2591C23—816no—
2592C23—816no—
2593C23—816no—
2594C23—88no—
2595C23—816no—
2596C23—88no—
2597C23—832no—
2598C23—832no—
2599C23—816no—
2600C23—816no—
2601C23—1616no—
2602C23—1616no—
2603C23—168no—
2604C23—1616no—
2605C23—168no—
2606C23—168no—
2607C23—1616no—
2608C23—168no—
2609C23—168no—
2610C23—1616no—
2611C23—1616no—
2612C23—168no—
2613C23—168no—
2614C23—1616no—
2615C23—16256no—
2616C23—322no—
2617C23—322no—
2618C23—322no—
2619C23—322no—
2620C23—328no—
2621C23—324no—
2622C23—324no—
2623C23C22×#12012yes—
2624C23C22×#12018yes—
2625C23C2×#57618yes—
2626C23C24×D411yescharacteristic
2627Q8—22no—
2628Q8—22no—
2629Q8—22no—
2630Q8—22no—
2631Q8—48no—
2632Q8—41no—
2633Q8—41no—
2634Q8—41no—
2635Q8—41no—
2636Q8—48no—
2637Q8—88no—
2638D4—22no—
2639D4—22no—
2640D4—22no—
2641D4—28no—
2642D4—28no—
2643D4—22no—
2644D4—28no—
2645D4—22no—
2646D4—28no—
2647D4—216no—
2648D4—232no—
2649D4—48no—
2650D4—416no—
2651D4—432no—
2652D4—432no—
2653D4—416no—
2654D4—48no—
2655D4—432no—
2656D4—432no—
2657D4—464no—
2658D4—48no—
2659D4—44no—
2660D4—44no—
2661D4—41no—
2662D4—44no—
2663D4—44no—
2664D4—44no—
2665D4—44no—
2666D4—44no—
2667D4—41no—
2668D4—44no—
2669D4—416no—
2670D4—432no—
2671D4—816no—
2672D4—88no—
2673D4—88no—
2674D4—816no—
2675D4—816no—
2676D4—88no—
2677D4—832no—
2678D4—832no—
2679D4—816no—
2680D4—816no—
2681D4—816no—
2682D4—832no—
2683D4—832no—
2684D4—832no—
2685D4—816no—
2686D4—816no—
2687D4—168no—
2688D4—1616no—
2689D4—1616no—
2690D4—1616no—
2691D4#348414yes—
2692C2×C4—24no—
2693C2×C4—24no—
2694C2×C4—21no—
2695C2×C4—21no—
2696C2×C4—22no—
2697C2×C4—22no—
2698C2×C4—28no—
2699C2×C4—28no—
2700C2×C4—22no—
2701C2×C4—22no—
2702C2×C4—22no—
2703C2×C4—28no—
2704C2×C4—22no—
2705C2×C4—28no—
2706C2×C4—216no—
2707C2×C4—22no—
2708C2×C4—24no—
2709C2×C4—24no—
2710C2×C4—24no—
2711C2×C4—24no—
2712C2×C4—24no—
2713C2×C4—24no—
2714C2×C4—22no—
2715C2×C4—24no—
2716C2×C4—28no—
2717C2×C4—24no—
2718C2×C4—24no—
2719C2×C4—24no—
2720C2×C4—416no—
2721C2×C4—48no—
2722C2×C4—48no—
2723C2×C4—41no—
2724C2×C4—41no—
2725C2×C4—41no—
2726C2×C4—42no—
2727C2×C4—44no—
2728C2×C4—42no—
2729C2×C4—44no—
2730C2×C4—41no—
2731C2×C4—44no—
2732C2×C4—44no—
2733C2×C4—44no—
2734C2×C4—44no—
2735C2×C4—416no—
2736C2×C4—416no—
2737C2×C4—432no—
2738C2×C4—44no—
2739C2×C4—44no—
2740C2×C4—44no—
2741C2×C4—44no—
2742C2×C4—42no—
2743C2×C4—44no—
2744C2×C4—44no—
2745C2×C4—42no—
2746C2×C4—42no—
2747C2×C4—816no—
2748C2×C4—816no—
2749C2×C4—816no—
2750C2×C4—88no—
2751C2×C4—816no—
2752C2×C4—816no—
2753C2×C4—816no—
2754C2×C4—832no—
2755C2×C4—88no—
2756C2×C4—168no—
2757C2×C4C22×#12012yes—
2758C2×C4C22×#12014yes—
2759C2×C4C22×#12018yes—
2760C2×C4C22×#12014yes—
2761C2×C4C2×#57614yes—
2762C2×C4#358514yes—
2763C2×C4C24×D411yescharacteristic
2764C2×C4C24×D411yescharacteristic
2765C2×C4C22×H(5,𝔽2)11yescharacteristic
2766C2×C4C22×H(5,𝔽2)11yescharacteristic
2767C2×C4H(7,𝔽2)11yescharacteristic
2768C2×C4H(7,𝔽2)11yescharacteristic
2769C8—22no—
2770C8—22no—
2771C8—44no—
2772C8—44no—
2773C8—44no—
2774C8—42no—
2775C22—28no—
2776C22—28no—
2777C22—22no—
2778C22—24no—
2779C22—28no—
2780C22—24no—
2781C22—28no—
2782C22—216no—
2783C22—44no—
2784C22—44no—
2785C22—41no—
2786C22—42no—
2787C22—44no—
2788C22—41no—
2789C22—42no—
2790C22—44no—
2791C22—44no—
2792C22—48no—
2793C22—42no—
2794C22—44no—
2795C22—44no—
2796C22—44no—
2797C22—42no—
2798C22—42no—
2799C22—42no—
2800C22—48no—
2801C22—48no—
2802C22—48no—
2803C22—416no—
2804C22—48no—
2805C22—832no—
2806C22—864no—
2807C22—84no—
2808C22—84no—
2809C22—84no—
2810C22—84no—
2811C22—84no—
2812C22—84no—
2813C22—88no—
2814C22—82no—
2815C22—82no—
2816C22—84no—
2817C22—84no—
2818C22—84no—
2819C22—88no—
2820C22—88no—
2821C22—1632no—
2822C22—1664no—
2823C22—1632no—
2824C22—328no—
2825C22—3216no—
2826C22—328no—
2827C22C23×#12011yescharacteristic
2828C22D4×H(5,𝔽2)11yescharacteristic
2829C22D4×H(5,𝔽2)11yescharacteristic
2830C22C22×#57612yes—
2831C22C2×#358512yes—
2832C4—22no—
2833C4—28no—
2834C4—24no—
2835C4—44no—
2836C4—42no—
2837C4—42no—
2838C4—44no—
2839C4—44no—
2840C4—44no—
2841C4—48no—
2842C4—84no—
2843C4—84no—
2844C4—82no—
2845C4#6037218yes—
2846C4C2×#348411yescharacteristic
2847C4#6284211yescharacteristic
2848C4D4×H(5,𝔽2)11yescharacteristic
2849C4D4×H(5,𝔽2)11yescharacteristic
2850C2—48no—
2851C2—48no—
2852C2—42no—
2853C2—44no—
2854C2—88no—
2855C2—88no—
2856C2—82no—
2857C2—164no—
2858C2#763128611yescharacteristic
2859C2C2×#6037212yes—
2860C2#1058319811yescharacteristic
2861C2#1058326312yes—
2862C2#1058336011yescharacteristic
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC22×C4C26
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#3481 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#63011C2semidirect
2. C2×#61661C2semidirect
3. C2×#61089C2semidirect
4. #7739384C2semidirect
5. #6595761C2semidirect
6. #6595725C2semidirect
7. #6573582C2semidirect
8. D4×#447C2semidirect
9. #6533324C2semidirect
10. #6533313C2semidirect
11. #6533182C2semidirect
12. #6533170C2semidirect
13. #6516757C2semidirect
14. #6512797C2semidirect
15. #6500186C2semidirect
16. #6499823C2semidirect
17. #6491030C2semidirect
18. #6470213C2semidirect
19. #6453909C2semidirect
20. #6437563C2semidirect
21. #6393497C2semidirect
22. #6393353C2semidirect
23. #6386055C2semidirect
24. C22×#576C22semidirect
28. C2×#3498C22semidirect
29. C2×#3498C22semidirect
31. C2×#3519C22semidirect
32. C2×#3519C22semidirect
34. C2×#3484C22semidirect
37. C2×#3543C22semidirect
39. C2×#3537C22semidirect
42. C2×#3481C22semidirect
44. C22×D42C22semidirect
46. C2×#3325C22semidirect
47. C2×#3305C22semidirect
49. C2×#3287C22semidirect
50. C2×D4×D8C22semidirect
51. C2×D4×D8C22semidirect
52. C2×#3274C22semidirect
53. C2×#3274C22semidirect
54. C2×#3274C22semidirect
55. C2×#3205C22semidirect
56. C2×#3199C22semidirect
57. C22×#493C22semidirect
58. C2×#3106C22semidirect
59. C2×#3058C22semidirect
60. C2×#3038C22semidirect
61. C2×#3038C22semidirect
62. C2×#3008C22semidirect
63. C2×#3008C22semidirect
64. C2×#3008C22semidirect
65. C2×#3003C22semidirect
66. C22×#447C22semidirect
67. C2×#2979C22semidirect
68. C2×C4×#135C22semidirect
69. C2×#2931C22semidirect
76. #38910C22semidirect
77. #38909C22semidirect
78. #37269C22semidirect
79. #36101C22semidirect
80. D4×#121C22semidirect
81. #35512C22semidirect
82. #35272C22semidirect
83. #34976C22semidirect
84. #34368C22semidirect
85. #33014C22semidirect
86. #32902C22semidirect
87. #32902C22semidirect
88. #32878C22semidirect
89. #29662C22semidirect
90. #29662C22semidirect
91. #29630C22semidirect
92. #29600C22semidirect
93. #25930C22semidirect
94. #25757C22semidirect
95. #25757C22semidirect
96. #25757C22semidirect
97. #25721C22semidirect
98. #25721C22semidirect
99. #25633C22semidirect
100. #25631C22semidirect
101. #25631C22semidirect
102. #25599C22semidirect
103. #25599C22semidirect
104. #25569C22semidirect
105. #25550C22semidirect
106. #25534C22semidirect
107. #25508C22semidirect
108. #25508C22semidirect
109. #24444C22semidirect
110. #24440C22semidirect
111. #24440C22semidirect
112. #24428C22semidirect
113. #24424C22semidirect
114. #24424C22semidirect
115. #24384C22semidirect
116. #24378C22semidirect
117. #24331C22semidirect
118. #24327C22semidirect
119. #24240C22semidirect
120. #24240C22semidirect
121. #24236C22semidirect
122. #24236C22semidirect
123. #24211C22semidirect
124. #24208C22semidirect
125. #24190C22semidirect
126. #24188C22semidirect
127. #24186C22semidirect
128. #24184C22semidirect
129. #24156C22semidirect
130. #24152C22semidirect
131. #24122C22semidirect
132. #24118C22semidirect
133. #24090C22semidirect
134. #24044C22semidirect
135. #24037C22semidirect
136. #23973C22semidirect
137. #23973C22semidirect
138. #23962C22semidirect
139. #23962C22semidirect
140. #23941C22semidirect
141. #23939C22semidirect
142. #23920C22semidirect
143. #23918C22semidirect
144. #23861C22semidirect
145. #23861C22semidirect
146. #23860C22semidirect
147. #23860C22semidirect
148. #23860C22semidirect
149. #23850C22semidirect
150. #23850C22semidirect
151. #23848C22semidirect
152. #23848C22semidirect
153. #23848C22semidirect
154. #23848C22semidirect
155. #23572C22semidirect
156. #23569C22semidirect
157. #23426C22semidirect
158. #23422C22semidirect
159. #23391C22semidirect
160. #23386C22semidirect
161. #22503C22semidirect
162. #22489C22semidirect
163. #22474C22semidirect
164. #22474C22semidirect
165. #22432C22semidirect
166. #22428C22semidirect
167. #22428C22semidirect
168. #22418C22semidirect
169. D4×#102C22semidirect
170. D4×#102C22semidirect
171. #22401C22semidirect
172. D4×C22⋊C8C22semidirect
173. #21893C22semidirect
174. #21849C22semidirect
175. #21803C22semidirect
176. #21770C22semidirect
177. #21770C22semidirect
178. #21744C22semidirect
179. C4×#450C22semidirect
180. C4×#447C22semidirect
181. #21401C22semidirect
182. #21373C22semidirect
183. #20975C22semidirect
184. #20934C22semidirect
185. #20929C22semidirect
186. #20899C22semidirect
187. #20737C22semidirect
188. #20602C22semidirect
191. C22×H(5,𝔽2)C23semidirect
199. C22×AGL(1,ℤ/8)C23semidirect
200. C22×AGL(1,ℤ/8)C23semidirect
201. C22×AGL(1,ℤ/8)C23semidirect
203. C22×#135C23semidirect
205. C23×D8C23semidirect
206. C23×D8C23semidirect
207. C23×D8C23semidirect
208. C22×#131C23semidirect
210. #3549D4semidirect
232. #3498D4semidirect
258. C2×#550C23semidirect
293. C2×D42C23semidirect
310. C2×#535C23semidirect
324. C22×#127C23semidirect
332. C2×#525C23semidirect
336. C22×#121C23semidirect
344. C2×C4×#41C23semidirect
360. C2×#493C23semidirect
361. C2×#493C23semidirect
362. C2×#486C23semidirect
364. C2×#482C23semidirect
365. C2×#482C23semidirect
366. C2×#477C23semidirect
367. C2×#476C23semidirect
369. C2×#469C23semidirect
370. C2×#469C23semidirect
371. C2×#466C23semidirect
372. C2×#466C23semidirect
376. C2×#460C23semidirect
377. C2×#460C23semidirect
380. C2×#459C23semidirect
381. C2×#459C23semidirect
382. C2×#459C23semidirect
387. C2×#449C23semidirect
388. C2×#449C23semidirect
389. C2×#449C23semidirect
390. C2×#449C23semidirect
392. C2×#450C23semidirect
398. C2×#447C23semidirect
399. C2×#447C23semidirect
400. C2×#447C23semidirect
401. C2×#447C23semidirect
402. C2×#447C23semidirect
403. C2×#447C23semidirect
404. C2×#447C23semidirect
405. C2×#447C23semidirect
406. C2×#447C23semidirect
409. C2×C4×Q16C23semidirect
411. C2×C4×SD16C23semidirect
412. C2×C4×SD16C23semidirect
414. C2×C4×D8C23semidirect
416. C2×#436C23semidirect
417. C2×#436C23semidirect
418. C2×C8×D4C23semidirect
419. C2×C8×D4C23semidirect
420. C2×#431C23semidirect
421. C2×#427C23semidirect
422. C2×#423C23semidirect
423. C2×#417C23semidirect
425. C2×#418C23semidirect
426. C2×#418C23semidirect
427. C2×#418C23semidirect
428. C2×#418C23semidirect
430. C2×#416C23semidirect
431. C2×#416C23semidirect
432. C2×#416C23semidirect
434. C22×#102C23semidirect
435. C2×#408C23semidirect
436. C2×#408C23semidirect
437. C2×#407C23semidirect
438. C22×C22⋊C8C23semidirect
439. C22×C4×C8C23semidirect
440. #2856C23semidirect
441. #2856C23semidirect
442. #2847C23semidirect
453. #2624C23semidirect
456. #2582C23semidirect
458. #2548C23semidirect
464. #2538C23semidirect
468. #2485C23semidirect
480. #2416C23semidirect
481. #2414C23semidirect
486. #2408C23semidirect
487. #2408C23semidirect
490. #2407C23semidirect
491. #2407C23semidirect
502. #2354C23semidirect
503. D4×C4⋊C4C23semidirect
506. #2311C23semidirect
507. #2311C23semidirect
509. #2309C23semidirect
511. C4×C22⋊Q8C23semidirect
513. C4×#121C23semidirect
514. #2285C23semidirect
515. #2059C23semidirect
516. #2059C23semidirect
517. #2042C23semidirect
518. #2042C23semidirect
519. #2041C23semidirect
520. #2041C23semidirect
521. #2036C23semidirect
522. #2035C23semidirect
524. #2034C23semidirect
526. #2033C23semidirect
527. #2026C23semidirect
528. #2025C23semidirect
529. #2025C23semidirect
530. #2025C23semidirect
531. #2015C23semidirect
532. #2014C23semidirect
533. #2012C23semidirect
534. #2012C23semidirect
535. #2012C23semidirect
536. #2011C23semidirect
537. #2011C23semidirect
538. #2011C23semidirect
539. #2011C23semidirect
540. #2011C23semidirect
541. #2001C23semidirect
543. #2000C23semidirect
544. #2000C23semidirect
545. #2000C23semidirect
546. #2000C23semidirect
550. #1999C23semidirect
551. #1999C23semidirect
552. #1999C23semidirect
553. #1999C23semidirect
554. #1999C23semidirect
555. #1990C23semidirect
556. #1990C23semidirect
557. #1987C23semidirect
558. #1984C23semidirect
559. #1984C23semidirect
560. #1984C23semidirect
562. #1982C23semidirect
563. #1982C23semidirect
566. #1957C23semidirect
567. #1957C23semidirect
571. #1895C23semidirect
572. #1895C23semidirect
573. #1895C23semidirect
574. #1893C23semidirect
575. #1893C23semidirect
576. #1893C23semidirect
577. #1893C23semidirect
581. #1879C23semidirect
582. #1879C23semidirect
583. #1879C23semidirect
584. #1879C23semidirect
585. #1879C23semidirect
586. #1879C23semidirect
587. #1879C23semidirect
588. #1879C23semidirect
590. #1877C23semidirect
591. #1877C23semidirect
592. #1875C23semidirect
593. #1875C23semidirect
594. #1874C23semidirect
595. #1874C23semidirect
596. #1874C23semidirect
597. #1874C23semidirect
598. #1874C23semidirect
599. #1872C23semidirect
600. #1870C23semidirect
601. #1870C23semidirect
602. #1870C23semidirect
603. #1869C23semidirect
604. #1869C23semidirect
605. #1869C23semidirect
606. #1869C23semidirect
608. #1864C23semidirect
609. #1864C23semidirect
611. #1862C23semidirect
612. #1862C23semidirect
613. #1853C23semidirect
614. #1852C23semidirect
615. #1825C23semidirect
616. #1825C23semidirect
617. #1818C23semidirect
618. #1803C23semidirect
619. #1803C23semidirect
622. #1802C23semidirect
623. #1802C23semidirect
624. #1797C23semidirect
625. #1797C23semidirect
627. #1788C23semidirect
631. #1786C23semidirect
632. #1786C23semidirect
633. #1786C23semidirect
634. #1786C23semidirect
635. #1779C23semidirect
636. C4×#103C23semidirect
638. C4×#102C23semidirect
639. C4×#102C23semidirect
640. C4×C22⋊C8C23semidirect
641. C4×C22⋊C8C23semidirect
642. #1736C23semidirect
643. #1735C23semidirect
644. #1729C23semidirect
645. #1729C23semidirect
661. C2×H(5,𝔽2)C2×D4semidirect
780. #555C2×D4semidirect
802. #550C2×D4semidirect
843. D42C2×D4semidirect
844. D42C2×D4semidirect
865. #535C2×D4semidirect
866. #535C2×D4semidirect
878. #532C2×D4semidirect
901. C2×#127C2×D4semidirect
1044. C4×#41C2×D4semidirect
1609. C2×SD16H(5,𝔽2)semidirect
1640. C2×D8H(5,𝔽2)semidirect
2314. C2×D4#576semidirect

Maximal subgroups

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

subgroupindex
C2×#630112
C2×#616612
C2×#610892
#77393842
#65957612
#65957252
#65735822
D4×#4472
#65333242
#65333132
#65331822
#65331702
#65167572
#65127972
#65001862
#64998232
#64910302
#64702132
#64539092
#64375632
#63934972
#63933532
#63860552