Finite Group Databasebeta

← Group #11865435

Character table — Group #11865435

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222224444444888888121212121212121222224444444488888881616161616162424242424242424333366666666121212121212122424242424243636363636363636
order12223444466641212121212122266662244888836663121212126661212121212121266666666121224242424222264444666412121212121222666622448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-11111-111-1-1-1-11-111-1-111-1-111-1-1111111-1-11111-111-1-1-1-11-111-1-111-1-111-1-1111111-1-11111-111-1-1-1-11-111-1-111-1-111-1-1
χ6111111-1-11111-111-1-1-1-11-111-1-1-1-111-1-111111111-1-11111-111-1-1-1-11-111-1-1-1-111-1-111111111-1-11111-111-1-1-1-11-111-1-1-1-111-1-111
χ7111111-1-11111-111-1-1-1-1-11-1-11111-1-1-1-111111111-1-11111-111-1-1-1-1-11-1-11111-1-1-1-111111111-1-11111-111-1-1-1-1-11-1-11111-1-1-1-111
χ8111111-1-11111-111-1-1-1-1-11-1-111-1-11111-1-1111111-1-11111-111-1-1-1-1-11-1-111-1-11111-1-1111111-1-11111-111-1-1-1-1-11-1-111-1-11111-1-1
χ922222-222-2222-2-2-222-2-20000000000000022222-222-2222-2-2-222-2-20000000000000022222-222-2222-2-2-222-2-200000000000000
χ1022222-2-2-2-22222-2-2-2-2220000000000000022222-2-2-2-22222-2-2-2-2220000000000000022222-2-2-2-22222-2-2-2-22200000000000000
χ112222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ122222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000
χ132222-12-2-22-1-1-1-2-1-111112-2-1-111000000002222-12-2-22-1-1-1-2-1-111112-2-1-111000000002222-12-2-22-1-1-1-2-1-111112-2-1-11100000000
χ142222-12-2-22-1-1-1-2-1-11111-2211-1-1000000002222-12-2-22-1-1-1-2-1-11111-2211-1-1000000002222-12-2-22-1-1-1-2-1-11111-2211-1-100000000
χ152222-1-222-2-1-1-1-211-1-11100−i3i3−i3i3000000002222-1-222-2-1-1-1-211-1-11100−i3i3−i3i3000000002222-1-222-2-1-1-1-211-1-11100−i3i3−i3i300000000
χ162222-1-222-2-1-1-1-211-1-11100i3−i3i3−i3000000002222-1-222-2-1-1-1-211-1-11100i3−i3i3−i3000000002222-1-222-2-1-1-1-211-1-11100i3−i3i3−i300000000
χ172222-1-2-2-2-2-1-1-121111-1-100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-121111-1-100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-121111-1-100−i3i3i3−i300000000
χ182222-1-2-2-2-2-1-1-121111-1-100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-121111-1-100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-121111-1-100i3−i3−i3i300000000
χ1922-2-22200-22-2-202-20000000000002i−2i000022-2-22200-22-2-202-20000000000002i−2i000022-2-22200-22-2-202-20000000000002i−2i0000
χ2022-2-22200-22-2-202-2000000000000−2i2i000022-2-22200-22-2-202-2000000000000−2i2i000022-2-22200-22-2-202-2000000000000−2i2i0000
χ2122-2-22-20022-2-20-2200000000002-200000022-2-22-20022-2-20-2200000000002-200000022-2-22-20022-2-20-2200000000002-2000000
χ2222-2-22-20022-2-20-220000000000-2200000022-2-22-20022-2-20-220000000000-2200000022-2-22-20022-2-20-220000000000-22000000
χ232-2-22202-20-22-20002-20000000000002−22−22-2-22202-20-22-20002-20000000000002−22−22-2-22202-20-22-20002-20000000000002−22−2
χ242-2-22202-20-22-20002-2000000000000−22−222-2-22202-20-22-20002-2000000000000−22−222-2-22202-20-22-20002-2000000000000−22−22
χ252-2-2220-220-22-2000-220000000000002−2−222-2-2220-220-22-2000-220000000000002−2−222-2-2220-220-22-2000-220000000000002−2−22
χ262-2-2220-220-22-2000-22000000000000−222−22-2-2220-220-22-2000-22000000000000−222−22-2-2220-220-22-2000-22000000000000−222−2
χ2744-4-4-2400-4-2220-2200000000000000000044-4-4-2400-4-2220-2200000000000000000044-4-4-2400-4-2220-22000000000000000000
χ2844-4-4-2-4004-22202-200000000000000000044-4-4-2-4004-22202-200000000000000000044-4-4-2-4004-22202-2000000000000000000
χ294-44-440000-4-440000000000000000000004-44-440000-4-440000000000000000000004-44-440000-4-44000000000000000000000
χ304-44-4-2000022-200000−2i32i3000000000000004-44-4-2000022-200000−2i32i3000000000000004-44-4-2000022-200000−2i32i300000000000000
χ314-44-4-2000022-2000002i3−2i3000000000000004-44-4-2000022-2000002i3−2i3000000000000004-44-4-2000022-2000002i3−2i300000000000000
χ324-4-44-204-402-22000-2200000000000000004-4-44-204-402-22000-2200000000000000004-4-44-204-402-22000-220000000000000000
χ334-4-44-20-4402-220002-200000000000000004-4-44-20-4402-220002-200000000000000004-4-44-20-4402-220002-20000000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ361111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ371111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ38111111-1-11111-111-1-1-1-11-111-1-111-1-111-1-1111111-1-11111-111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-111-1-111-1-111
χ39111111-1-11111-111-1-1-1-11-111-1-1-1-111-1-111111111-1-11111-111-1-1-1-11-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-11111-1-111-1-1
χ40111111-1-11111-111-1-1-1-1-11-1-11111-1-1-1-111111111-1-11111-111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-111111-111-1-1-1-11111-1-1
χ41111111-1-11111-111-1-1-1-1-11-1-111-1-11111-1-1111111-1-11111-111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-111-1-111-1-1-1-111
χ4222222-222-2222-2-2-222-2-20000000000000022222-222-2222-2-2-222-2-200000000000000-2-2-2-2-22-2-22-2-2-2222-2-22200000000000000
χ4322222-2-2-2-22222-2-2-2-2220000000000000022222-2-2-2-22222-2-2-2-22200000000000000-2-2-2-2-22222-2-2-2-22222-2-200000000000000
χ442222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000-2-2-2-21-2-2-2-2111-2111111-2-2111100000000
χ452222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000-2-2-2-21-2-2-2-2111-211111122-1-1-1-100000000
χ462222-12-2-22-1-1-1-2-1-111112-2-1-111000000002222-12-2-22-1-1-1-2-1-111112-2-1-11100000000-2-2-2-21-222-2111211-1-1-1-1-2211-1-100000000
χ472222-12-2-22-1-1-1-2-1-11111-2211-1-1000000002222-12-2-22-1-1-1-2-1-11111-2211-1-100000000-2-2-2-21-222-2111211-1-1-1-12-2-1-11100000000
χ482222-1-222-2-1-1-1-211-1-11100−i3i3−i3i3000000002222-1-222-2-1-1-1-211-1-11100−i3i3−i3i300000000-2-2-2-212-2-221112-1-111-1-100i3−i3i3−i300000000
χ492222-1-222-2-1-1-1-211-1-11100i3−i3i3−i3000000002222-1-222-2-1-1-1-211-1-11100i3−i3i3−i300000000-2-2-2-212-2-221112-1-111-1-100−i3i3−i3i300000000
χ502222-1-2-2-2-2-1-1-121111-1-100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-121111-1-100−i3i3i3−i300000000-2-2-2-212222111-2-1-1-1-11100i3−i3−i3i300000000
χ512222-1-2-2-2-2-1-1-121111-1-100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-121111-1-100i3−i3−i3i300000000-2-2-2-212222111-2-1-1-1-11100−i3i3i3−i300000000
χ5222-2-22200-22-2-202-20000000000002i−2i000022-2-22200-22-2-202-20000000000002i−2i0000-2-222-2-2002-2220-22000000000000−2i2i0000
χ5322-2-22200-22-2-202-2000000000000−2i2i000022-2-22200-22-2-202-2000000000000−2i2i0000-2-222-2-2002-2220-220000000000002i−2i0000
χ5422-2-22-20022-2-20-2200000000002-200000022-2-22-20022-2-20-2200000000002-2000000-2-222-2200-2-22202-20000000000-22000000
χ5522-2-22-20022-2-20-220000000000-2200000022-2-22-20022-2-20-220000000000-22000000-2-222-2200-2-22202-200000000002-2000000
χ562-2-22202-20-22-20002-20000000000002−22−22-2-22202-20-22-20002-20000000000002−22−2-222-2-20-2202-22000-22000000000000−22−22
χ572-2-22202-20-22-20002-2000000000000−22−222-2-22202-20-22-20002-2000000000000−22−22-222-2-20-2202-22000-220000000000002−22−2
χ582-2-2220-220-22-2000-220000000000002−2−222-2-2220-220-22-2000-220000000000002−2−22-222-2-202-202-220002-2000000000000−222−2
χ592-2-2220-220-22-2000-22000000000000−222−22-2-2220-220-22-2000-22000000000000−222−2-222-2-202-202-220002-20000000000002−2−22
χ6044-4-4-2400-4-2220-2200000000000000000044-4-4-2400-4-2220-22000000000000000000-4-4442-40042-2-202-2000000000000000000
χ6144-4-4-2-4004-22202-200000000000000000044-4-4-2-4004-22202-2000000000000000000-4-4442400-42-2-20-22000000000000000000
χ624-44-440000-4-440000000000000000000004-44-440000-4-44000000000000000000000-44-44-4000044-4000000000000000000000
χ634-44-4-2000022-200000−2i32i3000000000000004-44-4-2000022-200000−2i32i300000000000000-44-4420000-2-22000002i3−2i300000000000000
χ644-44-4-2000022-2000002i3−2i3000000000000004-44-4-2000022-2000002i3−2i300000000000000-44-4420000-2-2200000−2i32i300000000000000
χ654-4-44-204-402-22000-2200000000000000004-4-44-204-402-22000-220000000000000000-444-420-440-22-20002-20000000000000000
χ664-4-44-20-4402-220002-200000000000000004-4-44-20-4402-220002-20000000000000000-444-4204-40-22-2000-220000000000000000
χ67222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ682222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ692222222222222222222-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111000000000000000000000000000000000
χ702222222222222222222-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1000000000000000000000000000000000
χ71222222-2-22222-222-2-2-2-22-222-2-222-2-222-2-2-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-111-1-111-1-111000000000000000000000000000000000
χ72222222-2-22222-222-2-2-2-22-222-2-2-2-222-2-222-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-11111-1-111-1-1000000000000000000000000000000000
χ73222222-2-22222-222-2-2-2-2-22-2-22222-2-2-2-222-1-1-1-1-1-111-1-1-1-11-1-111111-111-1-1-1-11111-1-1000000000000000000000000000000000
χ74222222-2-22222-222-2-2-2-2-22-2-222-2-22222-2-2-1-1-1-1-1-111-1-1-1-11-1-111111-111-1-111-1-1-1-111000000000000000000000000000000000
χ7544444-444-4444-4-4-444-4-400000000000000-2-2-2-2-22-2-22-2-2-2222-2-22200000000000000000000000000000000000000000000000
χ7644444-4-4-4-44444-4-4-4-44400000000000000-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000
χ774444-24444-2-2-24-2-2-2-2-2-244-2-2-2-200000000-2-2-2-21-2-2-2-2111-2111111-2-2111100000000000000000000000000000000000000000
χ784444-24444-2-2-24-2-2-2-2-2-2-4-4222200000000-2-2-2-21-2-2-2-2111-211111122-1-1-1-100000000000000000000000000000000000000000
χ794444-24-4-44-2-2-2-4-2-222224-4-2-22200000000-2-2-2-21-222-2111211-1-1-1-1-2211-1-100000000000000000000000000000000000000000
χ804444-24-4-44-2-2-2-4-2-22222-4422-2-200000000-2-2-2-21-222-2111211-1-1-1-12-2-1-11100000000000000000000000000000000000000000
χ814444-2-444-4-2-2-2-422-2-22200−2i32i3−2i32i300000000-2-2-2-212-2-221112-1-111-1-100i3−i3i3−i300000000000000000000000000000000000000000
χ824444-2-444-4-2-2-2-422-2-222002i3−2i32i3−2i300000000-2-2-2-212-2-221112-1-111-1-100−i3i3−i3i300000000000000000000000000000000000000000
χ834444-2-4-4-4-4-2-2-242222-2-200−2i32i32i3−2i300000000-2-2-2-212222111-2-1-1-1-11100i3−i3−i3i300000000000000000000000000000000000000000
χ844444-2-4-4-4-4-2-2-242222-2-2002i3−2i3−2i32i300000000-2-2-2-212222111-2-1-1-1-11100−i3i3i3−i300000000000000000000000000000000000000000
χ8544-4-44400-44-4-404-40000000000004i−4i0000-2-222-2-2002-2220-22000000000000−2i2i0000000000000000000000000000000000000
χ8644-4-44400-44-4-404-4000000000000−4i4i0000-2-222-2-2002-2220-220000000000002i−2i0000000000000000000000000000000000000
χ8744-4-44-40044-4-40-4400000000004-4000000-2-222-2200-2-22202-20000000000-22000000000000000000000000000000000000000
χ8844-4-44-40044-4-40-440000000000-44000000-2-222-2200-2-22202-200000000002-2000000000000000000000000000000000000000
χ894-4-44404-40-44-40004-400000000000022−2222−22-222-2-20-2202-22000-22000000000000−22−22000000000000000000000000000000000
χ904-4-44404-40-44-40004-4000000000000−2222−2222-222-2-20-2202-22000-220000000000002−22−2000000000000000000000000000000000
χ914-4-4440-440-44-4000-4400000000000022−22−2222-222-2-202-202-220002-2000000000000−222−2000000000000000000000000000000000
χ924-4-4440-440-44-4000-44000000000000−222222−22-222-2-202-202-220002-20000000000002−2−22000000000000000000000000000000000
χ9388-8-8-4800-8-4440-44000000000000000000-4-4442-40042-2-202-2000000000000000000000000000000000000000000000000000
χ9488-8-8-4-8008-44404-4000000000000000000-4-4442400-42-2-20-22000000000000000000000000000000000000000000000000000
χ958-88-880000-8-88000000000000000000000-44-44-4000044-4000000000000000000000000000000000000000000000000000000
χ968-88-8-4000044-400000−4i34i300000000000000-44-4420000-2-22000002i3−2i300000000000000000000000000000000000000000000000
χ978-88-8-4000044-4000004i3−4i300000000000000-44-4420000-2-2200000−2i32i300000000000000000000000000000000000000000000000
χ988-8-88-408-804-44000-440000000000000000-444-420-440-22-20002-20000000000000000000000000000000000000000000000000
χ998-8-88-40-8804-440004-40000000000000000-444-4204-40-22-2000-220000000000000000000000000000000000000000000000000

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