Finite Group Databasebeta

← Group #13048732

Character table — Group #13048732

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222224444466666666666666991212121212121212121212121212121212181818181818181818181818181818181854545454108108108108
order12233666636666333366666666662233336666666666666266666666666666662244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ41111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ511-1111-1-111-11-1-11111111-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1
χ611-1111-1-111-11-1-11111111-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ711-1111-1-111-11-1-11111111-1-1-1-1-1-11-1-11111-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111111-1-111-1-11
χ811-1111-1-111-11-1-11111111-1-1-1-1-1-11-1-11111-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-111-1-111-1
χ922222222222222222-1222222222-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002020-10-1
χ1022222222222222222-1222222222-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-20-20101
χ1122222222222222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222222222222-1-1-12-1-1-1-1-1-1-1-1-12-2-22-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-211111111111100000000
χ13222-12-1-1-12-12-1-1-12-1-122-1-122-1-1-1-1222-12-1-12-12-1-1-1-122-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-100000000
χ14222-12-1-1-12-12-1-1-12-1-122-1-122-1-1-1-12-2-2-12-1-12-12-1-1-1-122-1-1-1-1-21111-2-21111-2-2111100000000
χ15222-12-1-1-12-12-1-1-1-12-12-12-1-1-122-1-1222-1-12-12-1-12-1-1-1-1-122-1-12-1-1-1-1-1-122-1-1-1-122-1-100000000
χ16222-12-1-1-12-12-1-1-1-12-12-12-1-1-122-1-12-2-2-1-12-12-1-12-1-1-1-1-122-1-1-2111111-2-21111-2-21100000000
χ17222-12-1-1-12-12-1-1-1-1-122-1-12-1-1-1-122222-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-12200000000
χ18222-12-1-1-12-12-1-1-1-1-122-1-12-1-1-1-1222-2-2-1-1-122-1-1-12-1-1-1-1-1-122-211111111-2-21111-2-200000000
χ1922-2222-2-222-22-2-2222-1222-2-2-2-2-2-2-100-1-1-1-11-1-1-1-11111111100000000000000000020-20-101
χ2022-2222-2-222-22-2-2222-1222-2-2-2-2-2-2-100-1-1-1-11-1-1-1-111111111000000000000000000-202010-1
χ2122-2222-2-222-22-2-2-1-1-12-1-1-11111112222-1-1-1-22-1-1-1-2-2111111-222-2-2-1-1-1-1-1-111111100000000
χ2222-2222-2-222-22-2-2-1-1-12-1-1-11111112-2-22-1-1-1-22-1-1-1-2-21111112-2-222111111-1-1-1-1-1-100000000
χ2322-2-12-1112-1-2-1112-1-122-1-1-2-21111222-12-1-1-2-12-1-111-2-21111-2-1-11122-1-1-1-1-2-2111100000000
χ2422-2-12-1112-1-2-1112-1-122-1-1-2-211112-2-2-12-1-1-2-12-1-111-2-21111211-1-1-2-2111122-1-1-1-100000000
χ2522-2-12-1112-1-2-111-12-12-12-111-2-211222-1-12-1-2-1-12-11111-2-211-2-1-111-1-122-1-111-2-21100000000
χ2622-2-12-1112-1-2-111-12-12-12-111-2-2112-2-2-1-12-1-2-1-12-11111-2-211211-1-111-2-211-1-122-1-100000000
χ2722-2-12-1112-1-2-111-1-122-1-121111-2-2222-1-1-12-2-1-1-12111111-2-2-2-1-111-1-1-1-1221111-2-200000000
χ2822-2-12-1112-1-2-111-1-122-1-121111-2-22-2-2-1-1-12-2-1-1-12111111-2-2211-1-11111-2-2-1-1-1-12200000000
χ292-2022-200-220-2002222-2-2-2000000-22-222220-2-2-2-20000000002-2002-22-22-200000000000000
χ302-2022-200-220-2002222-2-2-2000000-2-2222220-2-2-2-2000000000-2200-22-22-2200000000000000
χ312-2022-200-220-200-1-1-12111i3−i3i3−i3i3−i3-22-22-1-1-10-211100i3−i3i3−i3i3−i302-200-11-11-11i3−i3i3−i3i3−i300000000
χ322-2022-200-220-200-1-1-12111i3−i3i3−i3i3−i3-2-222-1-1-10-211100i3−i3i3−i3i3−i30-22001-11-11-1−i3i3−i3i3−i3i300000000
χ332-2022-200-220-200-1-1-12111−i3i3−i3i3−i3i3-22-22-1-1-10-211100−i3i3−i3i3−i3i302-200-11-11-11−i3i3−i3i3−i3i300000000
χ342-2022-200-220-200-1-1-12111−i3i3−i3i3−i3i3-2-222-1-1-10-211100−i3i3−i3i3−i3i30-22001-11-11-1i3−i3i3−i3i3−i300000000
χ352-20-121i3−i3-2-101i3−i32-1-12-21100i3−i3−i3i3-22-2-12-1-101-211i3−i300i3−i3−i3i30-11i3−i32-2-11-1100i3−i3−i3i300000000
χ362-20-121i3−i3-2-101i3−i32-1-12-21100i3−i3−i3i3-2-22-12-1-101-211i3−i300i3−i3−i3i301-1−i3i3-221-11-100−i3i3i3−i300000000
χ372-20-121i3−i3-2-101i3−i3-12-121-21−i3i300i3−i3-22-2-1-12-1011-21i3−i3−i3i300i3−i30-11i3−i3-112-2-11−i3i300i3−i300000000
χ382-20-121i3−i3-2-101i3−i3-12-121-21−i3i300i3−i3-2-22-1-12-1011-21i3−i3−i3i300i3−i301-1−i3i31-1-221-1i3−i300−i3i300000000
χ392-20-121i3−i3-2-101i3−i3-1-12211-2i3−i3−i3i300-22-2-1-1-120111-2i3−i3i3−i3−i3i3000-11i3−i3-11-112-2i3−i3−i3i30000000000
χ402-20-121i3−i3-2-101i3−i3-1-12211-2i3−i3−i3i300-2-22-1-1-120111-2i3−i3i3−i3−i3i30001-1−i3i31-11-1-22−i3i3i3−i30000000000
χ412-20-121−i3i3-2-101−i3i32-1-12-21100−i3i3i3−i3-22-2-12-1-101-211−i3i300−i3i3i3−i30-11−i3i32-2-11-1100−i3i3i3−i300000000
χ422-20-121−i3i3-2-101−i3i32-1-12-21100−i3i3i3−i3-2-22-12-1-101-211−i3i300−i3i3i3−i301-1i3−i3-221-11-100i3−i3−i3i300000000
χ432-20-121−i3i3-2-101−i3i3-12-121-21i3−i300−i3i3-22-2-1-12-1011-21−i3i3i3−i300−i3i30-11−i3i3-112-2-11i3−i300−i3i300000000
χ442-20-121−i3i3-2-101−i3i3-12-121-21i3−i300−i3i3-2-22-1-12-1011-21−i3i3i3−i300−i3i301-1i3−i31-1-221-1−i3i300i3−i300000000
χ452-20-121−i3i3-2-101−i3i3-1-12211-2−i3i3i3−i300-22-2-1-1-120111-2−i3i3−i3i3i3−i3000-11−i3i3-11-112-2−i3i3i3−i30000000000
χ462-20-121−i3i3-2-101−i3i3-1-12211-2−i3i3i3−i300-2-22-1-1-120111-2−i3i3−i3i3i3−i30001-1i3−i31-11-1-22i3−i3−i3i30000000000
χ4744444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2111-2-2111-2-21111110000000000000000000000000
χ48444-24-2-2-24-24-2-2-24-2-2-24-2-244-2-2-2-2-2001-211-21-21111-2-211110000000000000000000000000
χ49444-24-2-2-24-24-2-2-2-24-2-2-24-2-2-244-2-2-20011-21-211-211111-2-2110000000000000000000000000
χ50444-24-2-2-24-24-2-2-2-2-24-2-2-24-2-2-2-244-200111-2-2111-2111111-2-20000000000000000000000000
χ5144-4444-4-444-44-4-4-2-2-2-2-2-2-2222222-200-21112-211122-1-1-1-1-1-10000000000000000000000000
χ5244-4-24-2224-2-4-2224-2-2-24-2-2-4-42222-2001-21121-211-1-122-1-1-1-10000000000000000000000000
χ5344-4-24-2224-2-4-222-24-2-2-24-222-4-422-20011-21211-21-1-1-1-122-1-10000000000000000000000000
χ5444-4-24-2224-2-4-222-2-24-2-2-242222-4-4-200111-22111-2-1-1-1-1-1-1220000000000000000000000000
χ554-4044-400-440-400444-2-4-4-4000000200-2-2-2-202222000000000000000000000000000000000
χ564-4044-400-440-400-2-2-2-22222i3−2i32i3−2i32i3−2i3200-211102-1-1-100−i3i3−i3i3−i3i30000000000000000000000000
χ574-4044-400-440-400-2-2-2-2222−2i32i3−2i32i3−2i32i3200-211102-1-1-100i3−i3i3−i3i3−i30000000000000000000000000
χ584-40-2422i3−2i3-4-2022i3−2i34-2-2-2-422002i3−2i3−2i32i32001-2110-12-1-1−i3i300−i3i3i3−i30000000000000000000000000
χ594-40-2422i3−2i3-4-2022i3−2i3-24-2-22-42−2i32i3002i3−2i320011-210-1-12-1−i3i3i3−i300−i3i30000000000000000000000000
χ604-40-2422i3−2i3-4-2022i3−2i3-2-24-222-42i3−2i3−2i32i300200111-20-1-1-12−i3i3−i3i3i3−i3000000000000000000000000000
χ614-40-242−2i32i3-4-202−2i32i34-2-2-2-42200−2i32i32i3−2i32001-2110-12-1-1i3−i300i3−i3−i3i30000000000000000000000000
χ624-40-242−2i32i3-4-202−2i32i3-24-2-22-422i3−2i300−2i32i320011-210-1-12-1i3−i3−i3i300i3−i30000000000000000000000000
χ634-40-242−2i32i3-4-202−2i32i3-2-24-222-4−2i32i32i3−2i300200111-20-1-1-12i3−i3i3−i3−i3i3000000000000000000000000000
χ646666-3666-3-3-3-3-3-3000000000000000000000000000000000000000000000000002020-10-10
χ656666-3666-3-3-3-3-3-300000000000000000000000000000000000000000000000000-20-201010
χ6666-66-36-6-6-3-33-3330000000000000000000000000000000000000000000000000020-20-1010
χ6766-66-36-6-6-3-33-33300000000000000000000000000000000000000000000000000-202010-10
χ68121212-6-6-6-6-6-63-63330000000000000000000000000000000000000000000000000000000000
χ691212-12-6-6-666-6363-3-30000000000000000000000000000000000000000000000000000000000
χ7012-12012-6-12006-606000000000000000000000000000000000000000000000000000000000000
χ7112-120-6-666i3−6i3630-3−3i33i30000000000000000000000000000000000000000000000000000000000
χ7212-120-6-66−6i36i3630-33i3−3i30000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).