Finite Group Databasebeta

← Group #13155959

Character table — Group #13155959

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222222244444444444444444444888888888888881212242424242424242424242424242424242424242424242424242436363636363636367272727272108108
order122333446666633366666666612121212121212123666612121212121212121244481212121212121212121212121212121224242424242424242444121212126812242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1
χ41111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-111
χ511111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11-11-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111
χ711111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ9222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-22-2002-22-2000022-2-2000000000000000000000000000
χ10222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2200-22-220000-2-222000000000000000000000000000
χ1122222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-10022000022-1-10000-1-1-1-122-1-1-1-1-1-122000000-10-10000
χ1222222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1002-2000022-1-10000-1-1-1-1-2-2111111-2-20000001010000
χ1322222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-100-220000-2-2110000111122-1-1-1-1-1-1-2-20000001010000
χ1422222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-21100001111-2-211111122000000-10-10000
χ152222-12222-1-1-12-12-122-1-1-1-12-1-1-1-1222222-12-1-1-12-1-1-1-1-1-1-1-1222022-1-1-1-122-1-1-1-1-1-1-1-1000000000022-1-1-1-10000000
χ162222-12222-1-1-12-12-122-1-1-1-12-1-1-1-1222222-12-1-1-12-1-1-1-1-1-1-1-122-2022-1-111-2-2-1-1-1-111110000000000-2-211110000000
χ172222-12222-1-1-12-12-122-1-1-1-12-1-1-1-1222222-12-1-1-12-1-1-1-1-1-1-1-1-2-220-2-211-1-1221111-1-1-1-10000000000-2-211110000000
χ182222-12222-1-1-12-12-122-1-1-1-12-1-1-1-1222222-12-1-1-12-1-1-1-1-1-1-1-1-2-2-20-2-21111-2-211111111000000000022-1-1-1-10000000
χ192222-12-2-22-1-1-12-12-122-1-1-1-12-1-111-2-2-2-2-2-2-12-1-1-1-2111111112-2002-2-11−i3i300-1-111−i3−i3i3i3000000000000−i3−i3i3i30000000
χ202222-12-2-22-1-1-12-12-122-1-1-1-12-1-111-2-2-2-2-2-2-12-1-1-1-2111111112-2002-2-11i3−i300-1-111i3i3−i3−i3000000000000i3i3−i3−i30000000
χ212222-12-2-22-1-1-12-12-122-1-1-1-12-1-111-2-2-2-2-2-2-12-1-1-1-211111111-2200-221-1−i3i30011-1-1−i3−i3i3i3000000000000i3i3−i3−i30000000
χ222222-12-2-22-1-1-12-12-122-1-1-1-12-1-111-2-2-2-2-2-2-12-1-1-1-211111111-2200-221-1i3−i30011-1-1i3i3−i3−i3000000000000−i3−i3i3i30000000
χ23222-12222-12222-1-12-12-1-122-1-12222-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12202-1-1220000-1-1-1-10000-1-122-1-1-1-100000000020-1-100
χ24222-12222-12222-1-12-12-1-122-1-12222-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1220-2-1-1220000-1-1-1-1000011-2-21111000000000-201100
χ25222-12222-12222-1-12-12-1-122-1-12222-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-20211-2-2000011110000-1-122-1-1-1-1000000000-201100
χ26222-12222-12222-1-12-12-1-122-1-12222-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-20-211-2-200001111000011-2-2111100000000020-1-100
χ27222-122-2-2-12222-1-12-12-1-122-1-12-2-2-21-2111-1-1-1-1-1111-2-211112-200-112-20000-1-11100003−30033−3−3000000000003−300
χ28222-122-2-2-12222-1-12-12-1-122-1-12-2-2-21-2111-1-1-1-1-1111-2-211112-200-112-20000-1-1110000−3300−3−33300000000000−3300
χ29222-122-2-2-12222-1-12-12-1-122-1-12-2-2-21-2111-1-1-1-1-1111-2-21111-22001-1-22000011-1-100003−30033−3−300000000000−3300
χ30222-122-2-2-12222-1-12-12-1-122-1-12-2-2-21-2111-1-1-1-1-1111-2-21111-22001-1-22000011-1-10000−3300−3−333000000000003−300
χ3122-22222-22-2-222222-2-2-2-2-2-22222-2-22222-22-2-2-22-22-22-222-2-200000000000000000000000000002-200000020-20000
χ3222-22222-22-2-222222-2-2-2-2-2-22222-2-22222-22-2-2-22-22-22-222-2-20000000000000000000000000000-22000000-2020000
χ3322-2222-222-2-222222-2-2-2-2-2-2222-222-2-2-2-222-2-2-222-22-22-2-222000000000000000000000000000000000000000002-2
χ3422-2222-222-2-222222-2-2-2-2-2-2222-222-2-2-2-222-2-2-222-22-22-2-22200000000000000000000000000000000000000000-22
χ3522-222-12-22-2-22-12-1-1-21-2-211-12-12-212-1-1-1-2-1111-112-2-11-1-1110000000000−i3i30000−i3i3−i3i300−i3i3−i3i3−i3i32-2000000-1010000
χ3622-222-12-22-2-22-12-1-1-21-2-211-12-12-212-1-1-1-2-1111-112-2-11-1-1110000000000−i3i30000−i3i3−i3i300i3−i3i3−i3i3−i3-2200000010-10000
χ3722-222-12-22-2-22-12-1-1-21-2-211-12-12-212-1-1-1-2-1111-112-2-11-1-1110000000000i3−i30000i3−i3i3−i300−i3i3−i3i3−i3i3-2200000010-10000
χ3822-222-12-22-2-22-12-1-1-21-2-211-12-12-212-1-1-1-2-1111-112-2-11-1-1110000000000i3−i30000i3−i3i3−i300i3−i3i3−i3i3−i32-2000000-1010000
χ3944444-2-4-44444-24-2-24-244-2-2-24-2-4-42-4222-4-2-2-2-2-22-4-42222220000000000000000000000000000000000000000000
χ404444-2-2444-2-2-2-2-2-214-2-2-211-2-21-2-2-24-2-2-241-2111-2-2-211111100400000-2-2-2-20000111100000000000000000000000
χ414444-2-2444-2-2-2-2-2-214-2-2-211-2-21-2-2-24-2-2-241-2111-2-2-211111100-40000022220000-1-1-1-100000000000000000000000
χ424444-2-2-4-44-2-2-2-2-2-214-2-2-211-2-21222-4222-41-2111222-1-1-1-1-1-100000000−2i32i3000000i3i3−i3−i300000000000000000000000
χ434444-2-2-4-44-2-2-2-2-2-214-2-2-211-2-21222-4222-41-2111222-1-1-1-1-1-1000000002i3−2i3000000−i3−i3i3i300000000000000000000000
χ44444-24-244-2444-2-21-2-2-2-2-2-2-21-2-244-2-2-211-2111111-2-2-2-2111100040000000000000000-2-2-2-21111000000000000000
χ45444-24-244-2444-2-21-2-2-2-2-2-2-21-2-244-2-2-211-2111111-2-2-2-21111000-400000000000000002222-1-1-1-1000000000000000
χ46444-24-2-4-4-2444-2-21-2-2-2-2-2-2-21-2-2-4-4222-1-1211111-12222-1-1-1-10000000000000000000023−2300−3−333000000000000000
χ47444-24-2-4-4-2444-2-21-2-2-2-2-2-2-21-2-2-4-4222-1-1211111-12222-1-1-1-100000000000000000000−23230033−3−3000000000000000
χ48444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-2-24-24-2-2-21-2111-211-2-211114400-2-2-2-200001111000000000000000000000000000
χ49444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-2-24-24-2-2-21-2111-211-2-21111-4-40022220000-1-1-1-1000000000000000000000000000
χ50444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-222-42-42221-21112-1-122-1-1-1-14-400-22-22000011-1-1000000000000000000000000000
χ51444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-222-42-42221-21112-1-122-1-1-1-1-44002-22-20000-1-111000000000000000000000000000
χ5244-444-2-444-4-44-24-2-2-42-4-422-24-2-44-2-42224-2222-2-2-442-222-2-20000000000000000000000000000000000000000000
χ5344-44-244-4422-24-24-2-4-422224-2-2-22-44444-4-2-422-2-4-22-22-2-2220000000000000000000000000000000000000000000
χ5444-44-24-44422-24-24-2-4-422224-2-22-24-4-4-4-44-2-422-242-22-222-2-20000000000000000000000000000000000000000000
χ5544-44-2-24-4422-2-2-2-21-4222-1-1-2-21-2224-2-2-2-412-1-112-221-111-1-10000000000−2i32i30000i3−i3i3−i300000000000000000000000
χ5644-44-2-24-4422-2-2-2-21-4222-1-1-2-21-2224-2-2-2-412-1-112-221-111-1-100000000002i3−2i30000−i3i3−i3i300000000000000000000000
χ5744-44-2-2-44422-2-2-2-21-4222-1-1-2-212-2-2-4222412-1-11-22-2-11-1-11100000000000000003-3-3300000000000000000000000
χ5844-44-2-2-44422-2-2-2-21-4222-1-1-2-212-2-2-4222412-1-11-22-2-11-1-1110000000000000000-333-300000000000000000000000
χ5944-4-2444-4-2-4-444-2-242-422-4-4-2-244-4-4-24-2-22-2222-22-224-4-2-2220000000000000000000000000000000000000000000
χ6044-4-244-44-2-4-444-2-242-422-4-4-2-24-4442-422-2-2222-2-22-2-4422-2-20000000000000000000000000000000000000000000
χ6144-4-24-24-4-2-4-44-2-21-22222221-2-24-42-2-21121-1-1-11-1-22-2211-1-10000000000000000000000−2i32i3i3−i3i3−i3000000000000000
χ6244-4-24-24-4-2-4-44-2-21-22222221-2-24-42-2-21121-1-1-11-1-22-2211-1-100000000000000000000002i3−2i3−i3i3−i3i3000000000000000
χ6344-4-24-2-44-2-4-44-2-21-22222221-2-2-44-222-1-1-21-1-1-1112-22-2-1-1110000000000000000000000003i−3i−3i3i000000000000000
χ6444-4-24-2-44-2-4-44-2-21-22222221-2-2-44-222-1-1-21-1-1-1112-22-2-1-111000000000000000000000000−3i3i3i−3i000000000000000
χ6544-4-2-244-4-222-241-2-22-4-1-122-21-2-22-4-24-2-2212-1-1121-1-2211-1-10000000000003-33-3000000000000000000000000000
χ6644-4-2-244-4-222-241-2-22-4-1-122-21-2-22-4-24-2-2212-1-1121-1-2211-1-1000000000000-33-33000000000000000000000000000
χ6744-4-2-24-44-222-241-2-22-4-1-122-21-22-242-422-212-1-11-2-112-2-1-1110000000000003-3-33000000000000000000000000000
χ6844-4-2-24-44-222-241-2-22-4-1-122-21-22-242-422-212-1-11-2-112-2-1-111000000000000-333-3000000000000000000000000000
χ694-4044400-400-4-4444000000-4-4-4000000004000-40000000000000000000000000000000000000002-22-22-20000000
χ704-4044400-400-4-4444000000-4-4-4000000004000-4000000000000000000000000000000000000000-22-22-220000000
χ714-404-2400-4−2i32i32-4-24-200−2i32i3−2i32i3-42200000000-20−2i32i320000000000000000000000000000000000000002-2−1−i31+i3−1+i31−i30000000
χ724-404-2400-4−2i32i32-4-24-200−2i32i3−2i32i3-42200000000-20−2i32i32000000000000000000000000000000000000000-221+i3−1−i31−i3−1+i30000000
χ734-404-2400-42i3−2i32-4-24-2002i3−2i32i3−2i3-42200000000-202i3−2i320000000000000000000000000000000000000002-2−1+i31−i3−1−i31+i30000000
χ744-404-2400-42i3−2i32-4-24-2002i3−2i32i3−2i3-42200000000-202i3−2i32000000000000000000000000000000000000000-221−i3−1+i31+i3−1−i30000000
χ75888-4-4-488-4-4-4-4-4222-4-42222222-4-4-4-4-422-4-12-1-1-122222-1-1-1-10000000000000000000000000000000000000000000
χ76888-4-4-4-8-8-4-4-4-4-4222-4-4222222244444-2-24-12-1-1-1-2-2-2-2-211110000000000000000000000000000000000000000000
χ7788-8-4-4-48-8-444-4-422244-2-2-2-2222-444-4-4224-1-211-1-22-22-2-1-1110000000000000000000000000000000000000000000
χ7888-8-4-4-4-88-444-4-422244-2-2-2-22224-4-444-2-2-4-1-211-12-22-2211-1-10000000000000000000000000000000000000000000
χ798-8088-400-800-848-4-40000004-8400000000-400040000000000000000000000000000000000000000000000000000
χ808-808-4-400-8−4i34i344-4-4200−4i34i32i3−2i344-200000000202i3−2i3-20000000000000000000000000000000000000000000000000000
χ818-808-4-400-84i3−4i344-4-42004i3−4i3−2i32i344-20000000020−2i32i3-20000000000000000000000000000000000000000000000000000
χ828-80-48800400-8-8-4-4800000044-800000000-400040000000000000000000000000000000000000000000000000000
χ838-80-48-400400-84-42-4000000-244000006i−6i02000-2000006i−6i000000000000000000000000000000000000000000000
χ848-80-48-400400-84-42-4000000-24400000−6i6i02000-200000−6i6i000000000000000000000000000000000000000000000
χ858-80-4-48004−4i34i34-82-4-4002i3−2i3−4i34i34-2400000000202i3−2i3-20000000000000000000000000000000000000000000000000000
χ868-80-4-480044i3−4i34-82-4-400−2i32i34i3−4i34-240000000020−2i32i3-20000000000000000000000000000000000000000000000000000
χ878-80-4-4-4004−4i34i344222002i3−2i32i3−2i3-2-2-2000006i−6i0-10−i3i3100000−3i3i33−330000000000000000000000000000000000000000000
χ888-80-4-4-4004−4i34i344222002i3−2i32i3−2i3-2-2-200000−6i6i0-10−i3i31000003i−3i−33330000000000000000000000000000000000000000000
χ898-80-4-4-40044i3−4i34422200−2i32i3−2i32i3-2-2-2000006i−6i0-10i3−i3100000−3i3i−33330000000000000000000000000000000000000000000
χ908-80-4-4-40044i3−4i34422200−2i32i3−2i32i3-2-2-200000−6i6i0-10i3−i31000003i−3i33−330000000000000000000000000000000000000000000

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