Finite Group Databasebeta

← Group #11865800

Character table — Group #11865800

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order1222334444666666444434666121212121212121212122244121212122466121212121212121212444446688881212121266612121224661212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ91111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-111111-111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1
χ101111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-111111-111-1-1-1-1-1-1-111-1-111-111-1-111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111
χ111111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-1-111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111-1-111
χ121111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-111-1-1
χ131111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-1-1-1-11111-1-11-1-111-1-11111111-1-1-11-11111-1-1-1-111-1-111-1-1-1-111
χ141111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-1-1-1-111-1-1111-1-1-1-1111111111-1-1-11-111-1-111-1-1-1-111-1-11111-1-1
χ151111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-1-1-1111111-1-1-1111-11-1-111-1-111-1-11111-1-111-1-1
χ161111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111-1-11111-1-1-1111-11-1-1-1-1111111-1-1-1-111-1-111
χ17222222-222-222222222222-22222222-2-2-2-2-2-2-2-22222220000-20022-2-2-2-20000-2-2-2000022-2-20000000000000000000000000000
χ18222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-222-2-2-2-2-2-20000-20022-2-2-2-200002220000-2-2220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-2-222-2-2-2-2-2-2-2-222220000200-2-222-2-200002-2-20000-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-22222-2-2-2-20000200-2-222-2-20000-222000022-2-20000000000000000000000000000
χ2122222-122222-1-122-12222-12-1-1-122-1-1-1-12-1-122222-1-1-1-122-1-12-1-1-1-1-1-1-1-100002-1-10000-1-1-1-12-1-12-1-122-1-10000-1-1000000000000
χ2222222-122222-1-122-12222-12-1-1-122-1-1-1-12-1-122222-1-1-1-1-2-211211-1-1-1-1-1-100002-1-10000-1-1-1-1-211-211-2-211000011000000000000
χ2322222-122222-1-122-1-2-2-2-2-12-1-1-122-1-1-1-12-1-12-2-2-2-2111122-1-12-1-1-1-1-1-1-1-10000-211000011112-1-12-1-1-2-211000011000000000000
χ2422222-122222-1-122-1-2-2-2-2-12-1-1-122-1-1-1-12-1-12-2-2-2-21111-2-211211-1-1-1-1-1-10000-21100001111-211-21122-1-10000-1-1000000000000
χ2522222-12-2-222-1-122-12222-1-2-1-1-1-2-211112-1-1222-2-2-1-1-1-12-2-1-1-2111111-1-10000-2-1-1000011112-1-1-211-22110000-1-1000000000000
χ2622222-12-2-222-1-122-12222-1-2-1-1-1-2-211112-1-1222-2-2-1-1-1-1-2211-2-1-11111-1-10000-2-1-100001111-2112-1-12-2-1-1000011000000000000
χ2722222-12-2-222-1-122-1-2-2-2-2-1-2-1-1-1-2-211112-1-12-2-22211112-2-1-1-2111111-1-100002110000-1-1-1-12-1-1-2112-2-1-1000011000000000000
χ2822222-12-2-222-1-122-1-2-2-2-2-1-2-1-1-1-2-211112-1-12-2-2221111-2211-2-1-11111-1-100002110000-1-1-1-1-2112-1-1-22110000-1-1000000000000
χ2922222-1-222-22-1-122-12222-1-2-1-1-122-1-111-211-2-2-222-1-1-1-100−i3i3-2−i3i3-1-111110000-2110000-1-1110−i3i30−i3i300−i3i30000−i3i3000000000000
χ3022222-1-222-22-1-122-12222-1-2-1-1-122-1-111-211-2-2-222-1-1-1-100i3−i3-2i3−i3-1-111110000-2110000-1-1110i3−i30i3−i300i3−i30000i3−i3000000000000
χ3122222-1-222-22-1-122-1-2-2-2-2-1-2-1-1-122-1-111-211-222-2-2111100−i3i3-2−i3i3-1-1111100002-1-1000011-1-10−i3i30−i3i300i3−i30000i3−i3000000000000
χ3222222-1-222-22-1-122-1-2-2-2-2-1-2-1-1-122-1-111-211-222-2-2111100i3−i3-2i3−i3-1-1111100002-1-1000011-1-10i3−i30i3−i300−i3i30000−i3i3000000000000
χ3322222-1-2-2-2-22-1-122-12222-12-1-1-1-2-211-1-1-211-2-2-2-2-2-1-1-1-100−i3i32i3−i311-1-1110000211000011-1-10−i3i30i3−i300i3−i30000−i3i3000000000000
χ3422222-1-2-2-2-22-1-122-12222-12-1-1-1-2-211-1-1-211-2-2-2-2-2-1-1-1-100i3−i32−i3i311-1-1110000211000011-1-10i3−i30−i3i300−i3i30000i3−i3000000000000
χ3522222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-1-2-211-1-1-211-22222111100−i3i32i3−i311-1-1110000-2-1-10000-1-1110−i3i30i3−i300−i3i30000i3−i3000000000000
χ3622222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-1-2-211-1-1-211-22222111100i3−i32−i3i311-1-1110000-2-1-10000-1-1110i3−i30−i3i300i3−i30000−i3i3000000000000
χ372222-122222-122-1-120000-12-1-1-1-1-12222-122-1000000002222-122-1-1-1-1-1-1222200022220000-1-1-1-1-1-10000-1-1-1-100-1-1-1-100000000
χ382222-122222-122-1-120000-12-1-1-1-1-12222-122-1000000002222-122-1-1-1-1-1-1-2-2-2-2000-2-2-2-20000-1-1-1-1-1-10000111100111100000000
χ392222-122222-122-1-120000-12-1-1-1-1-12222-122-100000000-2-2-2-2-1-2-2-1-1-1-1-1-12222000-2-2-2-200001111110000-1-1-1-100111100000000
χ402222-122222-122-1-120000-12-1-1-1-1-12222-122-100000000-2-2-2-2-1-2-2-1-1-1-1-1-1-2-2-2-2000222200001111110000111100-1-1-1-100000000
χ412222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-1000000002-2221-2-21111-1-122-2-200022-2-20000-1-1-11110000-1-11100-1-11100000000
χ422222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-1000000002-2221-2-21111-1-1-2-222000-2-2220000-1-1-1111000011-1-10011-1-100000000
χ432222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-100000000-22-2-21221111-1-122-2-2000-2-2220000111-1-1-10000-1-1110011-1-100000000
χ442222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-100000000-22-2-21221111-1-1-2-22200022-2-20000111-1-1-1000011-1-100-1-11100000000
χ4522-2-22202i−2i0-22-22-2-22i2i−2i−2i202-2-22i−2i2i−2i000000002-22i2i−2i−2i00000002i−2i000000000002−2−i2i22-20000000000000000002−2−i2i20000−i2i22−2
χ4622-2-22202i−2i0-22-22-2-22i2i−2i−2i202-2-22i−2i2i−2i000000002-22i2i−2i−2i00000002i−2i00000000000−22i2−i22-2000000000000000000−22i2−i20000i2−i2−22
χ4722-2-22202i−2i0-22-22-2-2−2i−2i2i2i202-2-22i−2i2i−2i00000000-22−2i−2i2i2i00000002i−2i000000000002−2−i2i2-220000000000000000002−2−i2i20000i2−i2−22
χ4822-2-22202i−2i0-22-22-2-2−2i−2i2i2i202-2-22i−2i2i−2i00000000-22−2i−2i2i2i00000002i−2i00000000000−22i2−i2-22000000000000000000−22i2−i20000−i2i22−2
χ4922-2-2220−2i2i0-22-22-2-22i2i−2i−2i202-2-2−2i2i−2i2i00000000-222i2i−2i−2i0000000−2i2i000000000002−2i2−i2-220000000000000000002−2i2−i20000−i2i2−22
χ5022-2-2220−2i2i0-22-22-2-22i2i−2i−2i202-2-2−2i2i−2i2i00000000-222i2i−2i−2i0000000−2i2i00000000000−22−i2i2-22000000000000000000−22−i2i20000i2−i22−2
χ5122-2-2220−2i2i0-22-22-2-2−2i−2i2i2i202-2-2−2i2i−2i2i000000002-2−2i−2i2i2i0000000−2i2i000000000002−2i2−i22-20000000000000000002−2i2−i20000i2−i22−2
χ5222-2-2220−2i2i0-22-22-2-2−2i−2i2i2i202-2-2−2i2i−2i2i000000002-2−2i−2i2i2i0000000−2i2i00000000000−22−i2i22-2000000000000000000−22−i2i20000−i2i2−22
χ532-22-222200-2-2-2-2-2222-22-220-2-2200000022-2-22-2002-22-2000000000002-22i−2i0002-20000000000000000002i−2i00000000002i−2i0000
χ542-22-222200-2-2-2-2-2222-22-220-2-2200000022-2-22-2002-22-2000000000002-2−2i2i0002-2000000000000000000−2i2i0000000000−2i2i0000
χ552-22-222200-2-2-2-2-222-22-2220-2-2200000022-2-2-2200-22-22000000000002-22i−2i000-220000000000000000002i−2i0000000000−2i2i0000
χ562-22-222200-2-2-2-2-222-22-2220-2-2200000022-2-2-2200-22-22000000000002-2−2i2i000-22000000000000000000−2i2i00000000002i−2i0000
χ572-22-222-2002-2-2-2-2222-22-220-2-22000000-2-222-22002-22-200000000000-22002-20-22000000000000000000002-20000002-2000000
χ582-22-222-2002-2-2-2-2222-22-220-2-22000000-2-222-22002-22-200000000000-2200-220-2200000000000000000000-22000000-22000000
χ592-22-222-2002-2-2-2-222-22-2220-2-22000000-2-2222-200-22-2200000000000-22002-202-2000000000000000000002-2000000-22000000
χ602-22-222-2002-2-2-2-222-22-2220-2-22000000-2-2222-200-22-2200000000000-2200-2202-200000000000000000000-220000002-2000000
χ614444-24-444-4-244-2-240000-2-4-2-2-2-2-244-4-42-4-42000000000000200-2-222220000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-244-2-240000-24-2-2-222-4-4442-4-42000000000000-20022-2-2220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-2111111000000000000000-211-2110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-200000000-4-422-2221111110000000000000002-1-12-1-10000000000000000000000
χ654444-2-24-4-44-2-2-2-2-2-200001-4111222222-2-2-2-2000000004-4-2-2222-1-1-1-111000000000000000-2112-1-10000000000000000000000
χ664444-2-24-4-44-2-2-2-2-2-200001-4111222222-2-2-2-200000000-44222-2-2-1-1-1-1110000000000000002-1-1-2110000000000000000000000
χ674444-2-2-444-4-2-2-2-2-2-200001-4111-2-2-2-22222220000000000−2i32i32−2i32i311-1-1-1-10000000000000000i3−i30i3−i30000000000000000000000
χ684444-2-2-444-4-2-2-2-2-2-200001-4111-2-2-2-222222200000000002i3−2i322i3−2i311-1-1-1-10000000000000000−i3i30−i3i30000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-20000141112222-2-222220000000000−2i32i3-22i3−2i3-1-111-1-10000000000000000i3−i30−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-20000141112222-2-2222200000000002i3−2i3-2−2i32i3-1-111-1-10000000000000000−i3i30i3−i30000000000000000000000
χ7144-4-44-204i−4i0-4-224-424i4i−4i−4i-20-2224i−4i−2i2i000000004-4−2i−2i2i2i0000000−2i2i000000000000000-22000000000000000000000000000000
χ7244-4-44-204i−4i0-4-224-42−4i−4i4i4i-20-2224i−4i−2i2i00000000-442i2i−2i−2i0000000−2i2i0000000000000002-2000000000000000000000000000000
χ7344-4-44-20−4i4i0-4-224-424i4i−4i−4i-20-222−4i4i2i−2i00000000-44−2i−2i2i2i00000002i−2i0000000000000002-2000000000000000000000000000000
χ7444-4-44-20−4i4i0-4-224-42−4i−4i4i4i-20-222−4i4i2i−2i000000004-42i2i−2i−2i00000002i−2i000000000000000-22000000000000000000000000000000
χ7544-4-4-2404i−4i024-4-22-40000-20-222−2i2i4i−4i000000000000000000000−2i2i0000000000022−22−2i22i200000000000000000000−22i2−i200000000
χ7644-4-4-2404i−4i024-4-22-40000-20-222−2i2i4i−4i000000000000000000000−2i2i00000000000−22222i2−2i2000000000000000000002−2−i2i200000000
χ7744-4-4-240−4i4i024-4-22-40000-20-2222i−2i−4i4i0000000000000000000002i−2i0000000000022−222i2−2i200000000000000000000−22−i2i200000000
χ7844-4-4-240−4i4i024-4-22-40000-20-2222i−2i−4i4i0000000000000000000002i−2i00000000000−2222−2i22i2000000000000000000002−2i2−i200000000
χ794-44-44-2400-4-422-44-24-44-4-2022-20000004-22-44-400-22-2200000000000-2200000-22000000000000000000000000000000000000
χ804-44-44-2400-4-422-44-2-44-44-2022-20000004-22-4-44002-22-200000000000-22000002-2000000000000000000000000000000000000
χ814-44-44-2-4004-422-44-24-44-4-2022-2000000-42-24-4400-22-22000000000002-2000002-2000000000000000000000000000000000000
χ824-44-44-2-4004-422-44-2-44-44-2022-2000000-42-244-4002-22-2000000000002-200000-22000000000000000000000000000000000000
χ834-44-4-24400-42-4-42-240000-2022-2000000-24-420000000000000000000-224i−4i00000000000000000000000−2i2i0000000000000000
χ844-44-4-24400-42-4-42-240000-2022-2000000-24-420000000000000000000-22−4i4i000000000000000000000002i−2i0000000000000000
χ854-44-4-24-40042-4-42-240000-2022-20000002-44-200000000000000000002-2004-400000000000000000000000-2200000000000000
χ864-44-4-24-40042-4-42-240000-2022-20000002-44-200000000000000000002-200-44000000000000000000000002-200000000000000
χ874-4-444400004-44-4-4-44i−4i−4i4i40-44-4000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ884-4-444400004-44-4-4-4−4i4i4i−4i40-44-400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ894-4-444-2000042-2-4-424i−4i−4i4i-202-22000023−2300000000−2i2i2i−2i00000000023−23000000000000000−2i32i30000000000000000000000000000
χ904-4-444-2000042-2-4-424i−4i−4i4i-202-220000−232300000000−2i2i2i−2i000000000−23230000000000000002i3−2i30000000000000000000000000000
χ914-4-444-2000042-2-4-42−4i4i4i−4i-202-22000023−23000000002i−2i−2i2i00000000023−230000000000000002i3−2i30000000000000000000000000000
χ924-4-444-2000042-2-4-42−4i4i4i−4i-202-220000−2323000000002i−2i−2i2i000000000−2323000000000000000−2i32i30000000000000000000000000000
χ9388-8-8-4-408i−8i04-44-4440000202-2-2−4i4i−4i4i0000000000000000000002i−2i00000000000000000000000000000000000000000000000
χ9488-8-8-4-40−8i8i04-44-4440000202-2-24i−4i4i−4i000000000000000000000−2i2i00000000000000000000000000000000000000000000000
χ958-88-8-4-4800-84444-4-4000020-2-22000000-4-44400000000000000000002-20000000000000000000000000000000000000000000
χ968-88-8-4-4-80084444-4-4000020-2-2200000044-4-40000000000000000000-220000000000000000000000000000000000000000000
χ978-8-88-480000-4-8844-80000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000-44-4444000020-22-2000043−43000000000000000000000−2323000000000000000000000000000000000000000000000
χ998-8-88-4-40000-44-4444000020-22-20000−434300000000000000000000023−23000000000000000000000000000000000000000000000

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