Finite Group Databasebeta

← Group #13165958

Character table — Group #13165958

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222668888121212121212121212121212121212121212121212121212121216161616161616161616161616161616181824242424242424242472727272108108108216
order122233336666666666664436668812121212121212122424242424242424242424242424242433336666666666664441212121212121212121212124882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ52222222222222222222222-1-1-1-100222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1-1-12000
χ62222222222222222222222-1-1-1-100222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000001111-2000
χ722222-1-1-122-1-1-1-1-1-12-1-1-1222222222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-100222-1-1-1-1-1-100000000
χ822222-1-1-122-1-1-1-1-1-12-1-1-1222222-2-22-1-1-12-1-1-1-2-2-2-21111111111112-1-1-1222-1-1-1-1-1-1-1-1-100-2-2-211111100000000
χ92222-12-1-1-1-122-1-1-1-1-12-1-122222222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1002-1-122-1-1-1-100000000
χ102222-12-1-1-1-122-1-1-1-1-12-1-1222222-2-2-12-1-1-12-1-11111-2-2-2-211111111-12-1-1-1-1-1222-1-1-1-1-1-100-211-2-2111100000000
χ112222-1-12-1-1-1-1-122-1-1-1-12-122222222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-1-1222-1-1-1002-1-1-1-122-1-100000000
χ122222-1-12-1-1-1-1-122-1-1-1-12-1222222-2-2-1-12-1-1-12-111111111-2-2-2-21111-1-12-1-1-1-1-1-1-1222-1-1-100-21111-2-21100000000
χ132222-1-1-12-1-1-1-1-1-122-1-1-1222222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-1-1-1222002-1-1-1-1-1-12200000000
χ142222-1-1-12-1-1-1-1-1-122-1-1-12222222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-122200-2111111-2-200000000
χ1522-2-22222-2-2-2-2-2-2-2-22222-2222-2-200-2-2-2-22222000000000000000022222-2-22-2-22-2-22-2-20000000000000000000
χ1622-2-22222-2-2-2-2-2-2-2-22222-22-1-11100-2-2-2-222220000000000000000-1-1-1-1-111-111-111-1110000000000033−3−30000
χ1722-2-22222-2-2-2-2-2-2-2-22222-22-1-11100-2-2-2-222220000000000000000-1-1-1-1-111-111-111-11100000000000−3−3330000
χ1822-2-22-1-1-1-2-21111112-1-1-1-2222-2-200-21112-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-1-1-12-2-2-111-111-11100000−i3i3−i3i3−i3i300000000
χ1922-2-22-1-1-1-2-21111112-1-1-1-2222-2-200-21112-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-1-1-12-2-2-111-111-11100000i3−i3i3−i3i3−i300000000
χ2022-2-2-12-1-111-2-21111-12-1-1-2222-2-2001-211-12-1-1−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-12-1-1-1112-2-2-111-111000−i3i300−i3i3i3−i300000000
χ2122-2-2-12-1-111-2-21111-12-1-1-2222-2-2001-211-12-1-1i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-12-1-1-1112-2-2-111-111000i3−i300i3−i3−i3i300000000
χ2222-2-2-1-12-11111-2-211-1-12-1-2222-2-20011-21-1-12-1−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-1-12-1-111-1112-2-2-111000−i3i3i3−i300−i3i300000000
χ2322-2-2-1-12-11111-2-211-1-12-1-2222-2-20011-21-1-12-1i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-1-12-1-111-1112-2-2-111000i3−i3−i3i300i3−i300000000
χ2422-2-2-1-1-12111111-2-2-1-1-12-2222-2-200111-2-1-1-12−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-1-1-12-111-111-1112-2-2000−i3i3−i3i3i3−i30000000000
χ2522-2-2-1-1-12111111-2-2-1-1-12-2222-2-200111-2-1-1-12i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-1-1-12-111-111-1112-2-2000i3−i3i3−i3−i3i30000000000
χ262-2-2222222-22-22-22-2-2-2-2-200-11-112−2000000002−22−22−22−22−22−22−22−2-1-1-1-111-111-111-111-12i−2i000000000i−ii−i0−i2i20
χ272-2-2222222-22-22-22-2-2-2-2-200-11-112−2000000002−22−22−22−22−22−22−22−2-1-1-1-111-111-111-111-1−2i2i000000000−ii−ii0i2−i20
χ282-2-2222222-22-22-22-2-2-2-2-200-11-11−2200000000−22−22−22−22−22−22−22−22-1-1-1-111-111-111-111-12i−2i000000000i−ii−i0i2−i20
χ292-2-2222222-22-22-22-2-2-2-2-200-11-11−2200000000−22−22−22−22−22−22−22−22-1-1-1-111-111-111-111-1−2i2i000000000−ii−ii0−i2i20
χ3033333333333333333333-1-1000011-1-1-1-1-1-1-1-11111111111111111000000000000000033-1-1-1-1-1-1-1-1-10000-111-1
χ3133333333333333333333-1-1000011-1-1-1-1-1-1-1-111111111111111110000000000000000-3-3-1-1-1-1-1-1-1-1-100001-1-11
χ3233333333333333333333-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000331111111110000-1-1-11
χ3333333333333333333333-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-3-31111111110000111-1
χ3444444-2-2-244-2-2-2-2-2-24-2-2-244-2-2-2-2004-2-2-24-2-2-20000000000000000-2111-2-2-21111111110000000000000000000
χ354444-24-2-2-2-244-2-2-2-2-24-2-244-2-2-2-200-24-2-2-24-2-200000000000000001-211111-2-2-21111110000000000000000000
χ364444-2-24-2-2-2-2-244-2-2-2-24-244-2-2-2-200-2-24-2-2-24-2000000000000000011-21111111-2-2-21110000000000000000000
χ374444-2-2-24-2-2-2-2-2-244-2-2-2444-2-2-2-200-2-2-24-2-2-240000000000000000111-2111111111-2-2-20000000000000000000
χ3844-4-44-2-2-2-4-42222224-2-2-2-44-2-22200-42224-2-2-20000000000000000-2111-2221-1-11-1-11-1-10000000000000000000
χ3944-4-4-24-2-222-4-42222-24-2-2-44-2-222002-422-24-2-200000000000000001-2111-1-1-2221-1-11-1-10000000000000000000
χ4044-4-4-2-24-22222-4-422-2-24-2-44-2-2220022-42-2-24-2000000000000000011-211-1-11-1-1-2221-1-10000000000000000000
χ4144-4-4-2-2-24222222-4-4-2-2-24-44-2-22200222-4-2-2-240000000000000000111-21-1-11-1-11-1-1-2220000000000000000000
χ424-44-44444-44-44-44-44-4-4-4-4001-1-11000000000000000000000000001111-11-1-11-1-11-1-11-100000000000−i3i3i3−i30000
χ434-44-44444-44-44-44-44-4-4-4-4001-1-11000000000000000000000000001111-11-1-11-1-11-1-11-100000000000i3−i3−i3i30000
χ444-44-44444-44-44-44-44-4-4-4-400-222-200000000000000000000000000-2-2-2-22-222-222-222-220000000000000000000
χ454-44-44-2-2-2-442-22-22-2-422200-222-200000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6-21112-22-11-1-11-1-11-10000000000000000000
χ464-44-44-2-2-2-442-22-22-2-422200-222-200000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6-21112-22-11-1-11-1-11-10000000000000000000
χ474-44-4-24-2-22-2-442-22-22-42200-222-20000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i61-211-11-12-22-11-1-11-10000000000000000000
χ484-44-4-24-2-22-2-442-22-22-42200-222-20000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i61-211-11-12-22-11-1-11-10000000000000000000
χ494-44-4-2-24-22-22-2-442-222-4200-222-20000000000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i611-21-11-1-11-12-22-11-10000000000000000000
χ504-44-4-2-24-22-22-2-442-222-4200-222-20000000000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i611-21-11-1-11-12-22-11-10000000000000000000
χ514-44-4-2-2-242-22-22-2-44222-400-222-20000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000111-2-11-1-11-1-11-12-220000000000000000000
χ524-44-4-2-2-242-22-22-2-44222-400-222-20000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000111-2-11-1-11-1-11-12-220000000000000000000
χ534-4-4444444-44-44-44-4-4-4-4-4001-11-1000000000000000000000000001111-1-11-1-11-1-11-1-114i−4i000000000−ii−ii0000
χ544-4-4444444-44-44-44-4-4-4-4-4001-11-1000000000000000000000000001111-1-11-1-11-1-11-1-11−4i4i000000000i−ii−i0000
χ554-4-444-2-2-24-4-22-22-22-422200-22-2222−220000000022−2222−22−22−22−22−22−22−22-211122-2-1-11-1-11-1-110000000000000000000
χ564-4-444-2-2-24-4-22-22-22-422200-22-22−222200000000−2222−22222−22−22−22−22−22−2-211122-2-1-11-1-11-1-110000000000000000000
χ574-4-44-24-2-2-224-4-22-222-42200-22-2222−2200000000−22−2222−2222−22−22−22−22−221-211-1-1122-2-1-11-1-110000000000000000000
χ584-4-44-24-2-2-224-4-22-222-42200-22-22−2222000000002−22−2−2222−22222−22−22−22−21-211-1-1122-2-1-11-1-110000000000000000000
χ594-4-44-2-24-2-22-224-4-2222-4200-22-2222−2200000000−22−22−22−2222−2222−22−22−2211-21-1-11-1-1122-2-1-110000000000000000000
χ604-4-44-2-24-2-22-224-4-2222-4200-22-22−2222000000002−22−22−22−2−2222−22222−22−211-21-1-11-1-1122-2-1-110000000000000000000
χ614-4-44-2-2-24-22-22-224-4222-400-22-2222−2200000000−22−22−22−22−22−2222−2222−22111-2-1-11-1-11-1-1122-20000000000000000000
χ624-4-44-2-2-24-22-22-224-4222-400-22-22−2222000000002−22−22−22−22−22−2−2222−2222111-2-1-11-1-11-1-1122-20000000000000000000
χ6366666-3-3-366-3-3-3-3-3-36-3-3-3-2-2000022-2111-21112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-211111100000000
χ6466666-3-3-366-3-3-3-3-3-36-3-3-3-2-20000-2-2-2111-2111-2-2-2-2111111111111000000000000000000222-1-1-1-1-1-100000000
χ656666-36-3-3-3-366-3-3-3-3-36-3-3-2-20000221-2111-211-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-211-2-2111100000000
χ666666-36-3-3-3-366-3-3-3-3-36-3-3-2-20000-2-21-2111-2111111-2-2-2-2111111110000000000000000002-1-122-1-1-1-100000000
χ676666-3-36-3-3-3-3-366-3-3-3-36-3-2-200002211-2111-21-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000-21111-2-21100000000
χ686666-3-36-3-3-3-3-366-3-3-3-36-3-2-20000-2-211-2111-2111111111-2-2-2-211110000000000000000002-1-1-1-122-1-100000000
χ696666-3-3-36-3-3-3-3-3-366-3-3-36-2-2000022111-2111-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000-2111111-2-200000000
χ706666-3-3-36-3-3-3-3-3-366-3-3-36-2-20000-2-2111-2111-2111111111111-2-2-2-20000000000000000002-1-1-1-1-1-12200000000
χ7166-6-66666-6-6-6-6-6-6-6-666662-20000002222-2-2-2-2000000000000000000000000000000000000000000000000000
χ7266-6-66-3-3-3-6-63333336-3-3-32-20000002-1-1-1-21110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000i3−i3i3−i3i3−i300000000
χ7366-6-66-3-3-3-6-63333336-3-3-32-20000002-1-1-1-21110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000−i3i3−i3i3−i3i300000000
χ7466-6-6-36-3-333-6-63333-36-3-32-2000000-12-1-11-211−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30000000000000000000i3−i300i3−i3−i3i300000000
χ7566-6-6-36-3-333-6-63333-36-3-32-2000000-12-1-11-211i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30000000000000000000−i3i300−i3i3i3−i300000000
χ7666-6-6-3-36-33333-6-633-3-36-32-2000000-1-12-111-21−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30000000000000000000i3−i3−i3i300i3−i300000000
χ7766-6-6-3-36-33333-6-633-3-36-32-2000000-1-12-111-21i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30000000000000000000−i3i3i3−i300−i3i300000000
χ7866-6-6-3-3-36333333-6-6-3-3-362-2000000-1-1-12111-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000000i3−i3i3−i3−i3i30000000000
χ7966-6-6-3-3-36333333-6-6-3-3-362-2000000-1-1-12111-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000000−i3i3−i3i3i3−i30000000000
χ808-88-88-4-4-4-884-44-44-4-8444002-2-22000000000000000000000000002-1-1-1-22-21-111-111-110000000000000000000
χ818-88-8-48-4-44-4-884-44-44-844002-2-2200000000000000000000000000-12-1-11-11-22-21-111-110000000000000000000
χ828-88-8-4-48-44-44-4-884-444-84002-2-2200000000000000000000000000-1-12-11-111-11-22-21-110000000000000000000
χ838-88-8-4-4-484-44-44-4-88444-8002-2-2200000000000000000000000000-1-1-121-111-111-11-22-20000000000000000000
χ848-8-888-4-4-48-8-44-44-44-8444002-22-2000000000000000000000000002-1-1-1-2-2211-111-111-10000000000000000000
χ858-8-88-48-4-4-448-8-44-444-844002-22-200000000000000000000000000-12-1-111-1-2-2211-111-10000000000000000000
χ868-8-88-4-48-4-44-448-8-4444-84002-22-200000000000000000000000000-1-12-111-111-1-2-2211-10000000000000000000
χ878-8-88-4-4-48-44-44-448-8444-8002-22-200000000000000000000000000-1-1-1211-111-111-1-2-220000000000000000000

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