Finite Group Databasebeta

← Group #11889091

Character table — Group #11889091

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order122222334466666634446666666666612121212121212124121212121212121212121212121212121212121224441212121224446881212121212242424242288886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-111-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111-1-111111111111-1-1-1-11111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1111
χ6111111111111111111-1-111111111111-1-1-1-11111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ7111111111111111111-1-111111111111-1-1-1-11111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ8111111111111111111-1-111111111111-1-1-1-11111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111111111-1-1-1-1-1-11
χ91111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11-11-1-1-11111-1-11-11-111-1-111-1-11111-1-11-1-1
χ101111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11-11-1-1-111-11-1111-1-111-1-1-1-111-1-1-1-111-111
χ111111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-111-1-11111-1-1-1-1-11-1111-1-11-11-1-1-111-1-11111-1-1-1-1-1-1111-11
χ121111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1-111-11-11-1-111-1-1111111-1-1-11-1
χ131111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-111-1-111-111-1-1-1-1-1-111111-11-1-1-1111-11-111-1-1-1-111-1-11111-1-1111-1-1
χ141111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-111-1-111-111-1-1-1-1-1-111111-11-1-1-111-1-1111-11-1-1-11111-1-1-1-111-1-1-111
χ151111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-111-1-111-111-1-1-1-1-1-11111-11-1111-1-111-1-1-11-1111-1-1-1-111-1-111-1-11-11
χ161111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-111-1-111-111-1-1-1-1-1-11111-11-1111-1-1-11-11-1-11111-1-111-1-111-1-111-11-1
χ1722222222-2-22222222-200222222222220000-2-2-2-20-2000000-2-2-2-2-2000000002-2-22-2-2-2-20000200200000000000000000
χ1822222222-2-22222222-200222222222220000-2-2-2-20-2000000-2-2-2-2-200000000-222-222220000-200-200000000000000000
χ192222222-122-1-122-12-122222-1-1-1-1-1-1-1-1-1222222-1-12-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-100000000200202200000-1-1-1-1000000-1-10
χ202222222-122-1-122-12-122222-1-1-1-1-1-1-1-1-1222222-1-12-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-100000000-200-20-2-2000001111000000110
χ212222222-122-1-122-12-12-2-222-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-2-1-2-211112-1-1-1-1111111110000000020020-2-2000001111000000-1-10
χ222222222-122-1-122-12-12-2-222-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-2-1-2-211112-1-1-1-11111111100000000-200-202200000-1-1-1-1000000110
χ23222222-122222-1-12-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10220-100-1-1-1-1-10000000000000
χ24222222-122222-1-12-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110-2-20100111110000000000000
χ25222222-122222-1-12-1-12-2-2-1-122-1-1-1-1-1-1-11111-1-122-2211-2-2-2-2-1-1-1-1-1111111112222-1-1-1-10-2-20-100-111110000000000000
χ26222222-122222-1-12-1-12-2-2-1-122-1-1-1-1-1-1-11111-1-122-2211-2-2-2-2-1-1-1-1-111111111-2-2-2-2111102201001-1-1-1-10000000000000
χ27222222-12-2-222-1-12-1-1-200-1-122-1-1-1-1-1-1-1−i3−i3i3i311-2-20-2−i3i3000011111−i3−i3i3i3−i3−i3i3i32-2-2211110000-100-1−i3i3−i3i30000000000000
χ28222222-12-2-222-1-12-1-1-200-1-122-1-1-1-1-1-1-1−i3−i3i3i311-2-20-2−i3i3000011111−i3−i3i3i3−i3−i3i3i3-222-2-1-1-1-100001001i3−i3i3−i30000000000000
χ29222222-12-2-222-1-12-1-1-200-1-122-1-1-1-1-1-1-1i3i3−i3−i311-2-20-2i3−i3000011111i3i3−i3−i3i3i3−i3−i32-2-2211110000-100-1i3−i3i3−i30000000000000
χ30222222-12-2-222-1-12-1-1-200-1-122-1-1-1-1-1-1-1i3i3−i3−i311-2-20-2i3−i3000011111i3i3−i3−i3i3i3−i3−i3-222-2-1-1-1-100001001−i3i3−i3i30000000000000
χ312222-2-222-2-22222222200-2-2-2-22-2-2-2-2220000-2-2-2-2020000002-2-2220000000022-2-222-2-20000200-200000000000000000
χ322222-2-222-2-22222222200-2-2-2-22-2-2-2-2220000-2-2-2-2020000002-2-22200000000-2-222-2-2220000-200200000000000000000
χ332222-2-22-122-1-122-12-1-222-2-211-11111-1-1222222-1-1-21-2-2-1-111-2-1-111-1-1-1-1111100000000200-20-2200000-1-111000000-110
χ342222-2-22-122-1-122-12-1-222-2-211-11111-1-1222222-1-1-21-2-2-1-111-2-1-111-1-1-1-1111100000000-200202-20000011-1-10000001-10
χ352222-2-22-122-1-122-12-1-2-2-2-2-211-11111-1-1-2-2-2-222-1-1212211-1-1-2-1-1111111-1-1-1-100000000200-202-20000011-1-1000000-110
χ362222-2-22-122-1-122-12-1-2-2-2-2-211-11111-1-1-2-2-2-222-1-1212211-1-1-2-1-1111111-1-1-1-100000000-20020-2200000-1-1110000001-10
χ372222-2-2-122222-1-12-1-1-22211-2-2-11111-1-1-1-1-1-1-1-122-2-21122-2-21-1-111-1-1-1-111112-22-211-1-102-20-1001-1-1110000000000000
χ382222-2-2-122222-1-12-1-1-22211-2-2-11111-1-1-1-1-1-1-1-122-2-21122-2-21-1-111-1-1-1-11111-22-22-1-1110-220100-111-1-10000000000000
χ392222-2-2-122222-1-12-1-1-2-2-211-2-2-11111-1-11111-1-1222-2-1-1-2-2221-1-1111111-1-1-1-12-22-211-1-10-220-100111-1-10000000000000
χ402222-2-2-122222-1-12-1-1-2-2-211-2-2-11111-1-11111-1-1222-2-1-1-2-2221-1-1111111-1-1-1-1-22-22-1-11102-20100-1-1-1110000000000000
χ412222-2-2-12-2-222-1-12-1-120011-2-2-11111-1-1−i3−i3i3i311-2-202i3−i30000-111-1-1−i3−i3i3i3i3i3−i3−i322-2-2-1-1110000-1001−i3i3i3−i30000000000000
χ422222-2-2-12-2-222-1-12-1-120011-2-2-11111-1-1−i3−i3i3i311-2-202i3−i30000-111-1-1−i3−i3i3i3i3i3−i3−i3-2-22211-1-10000100-1i3−i3−i3i30000000000000
χ432222-2-2-12-2-222-1-12-1-120011-2-2-11111-1-1i3i3−i3−i311-2-202−i3i30000-111-1-1i3i3−i3−i3−i3−i3i3i322-2-2-1-1110000-1001i3−i3−i3i30000000000000
χ442222-2-2-12-2-222-1-12-1-120011-2-2-11111-1-1i3i3−i3−i311-2-202−i3i30000-111-1-1i3i3−i3−i3−i3−i3i3i3-2-22211-1-10000100-1−i3i3i3−i30000000000000
χ452-22-200222-2-22-2-2-22202i−2i0000-200002-22i−2i2i−2i2-22-200002i−2i0002-2002i−2i2i−2i00000000000000000000000000002-22i−2i00000
χ462-22-200222-2-22-2-2-22202i−2i0000-200002-22i−2i2i−2i2-22-200002i−2i0002-2002i−2i2i−2i0000000000000000000000000000-22−2i2i00000
χ472-22-200222-2-22-2-2-2220−2i2i0000-200002-2−2i2i−2i2i2-22-20000−2i2i0002-200−2i2i−2i2i00000000000000000000000000002-2−2i2i00000
χ482-22-200222-2-22-2-2-2220−2i2i0000-200002-2−2i2i−2i2i2-22-20000−2i2i0002-200−2i2i−2i2i0000000000000000000000000000-222i−2i00000
χ494444444-2-4-4-2-244-24-2-40044-2-2-2-2-2-2-2-2-20000-4-42202000000-4222200000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-21444-2-2-2-21111111-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-4-4-2-2-2-211111112222-2-2-2-2-4-2222222-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-21111111−2i3−2i32i32i3222202−2i32i300002-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-211111112i32i3−2i3−2i32222022i3−2i300002-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ544444-4-44-2-4-4-2-244-24-2400-4-422-22222-2-20000-4-4220-2000000422-2-200000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-44422221-1-1-1-111-2-2-2-2-2-2-2-2-4222-2-222211-1-11111-1-1-1-1000000000000000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-4-4-422221-1-1-1-1112222-2-2-2-242-2-222-2-2211-1-1-1-1-1-11111000000000000000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2140022221-1-1-1-111−2i3−2i32i32i322220-22i3−2i30000-2-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2140022221-1-1-1-1112i32i3−2i3−2i322220-2−2i32i30000-2-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ5944-4-40044004-4-44-4-44000000040000-4-4000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6044-4-40044004-4-44-4-44000000040000-4-40000000000000000000000000000000000000000000000000000000002i2−2i2000
χ614-44-40044-44-44-4-4-4440000000-400004-40000-44-44000000000-440000000000000000000000000000000000000000000
χ624-44-4004-24-42-2-4-424-204i−4i000020000-224i−4i4i−4i4-4-220000−2i2i000-2200−2i2i−2i2i0000000000000000000000000000000000000
χ634-44-4004-24-42-2-4-424-20−4i4i000020000-22−4i4i−4i4i4-4-2200002i−2i000-22002i−2i2i−2i0000000000000000000000000000000000000
χ644-44-4004-2-442-2-4-424-2000000020000-220000-442-200000023−2302-200000023−2323−23000000000000000000000000000000000
χ654-44-4004-2-442-2-4-424-2000000020000-220000-442-2000000−232302-2000000−2323−2323000000000000000000000000000000000
χ664-44-400-244-4-4422-4-2-204i−4i000020000-22−2i2i−2i2i-224-400004i−4i000-2200−2i2i−2i2i0000000000000000000000000000000000000
χ674-44-400-244-4-4422-4-2-20−4i4i000020000-222i−2i2i−2i-224-40000−4i4i000-22002i−2i2i−2i0000000000000000000000000000000000000
χ684-44-400-24-44-4422-4-2-2000000020000-2223−23−23232-2-440000000002-20023−23−23230000000000000000000000000000000000000
χ694-44-400-24-44-4422-4-2-2000000020000-22−232323−232-2-440000000002-200−232323−230000000000000000000000000000000000000
χ704-44-400-2-24-42-2222-2104i−4i0000-133-3-31-1−2i2i−2i2i-22-220000−2i2i0001-13-3i−ii−i3i−3i−3i3i000000000000000000000000000000000
χ714-44-400-2-24-42-2222-2104i−4i0000-1-3-3331-1−2i2i−2i2i-22-220000−2i2i0001-1-33i−ii−i−3i3i3i−3i000000000000000000000000000000000
χ724-44-400-2-24-42-2222-210−4i4i0000-133-3-31-12i−2i2i−2i-22-2200002i−2i0001-13-3−ii−ii−3i3i3i−3i000000000000000000000000000000000
χ734-44-400-2-24-42-2222-210−4i4i0000-1-3-3331-12i−2i2i−2i-22-2200002i−2i0001-1-33−ii−ii3i−3i−3i3i000000000000000000000000000000000
χ744-44-400-2-2-442-2222-210000000-133-3-31-123−23−23232-22-2000000−23230-11-33−333−33−33−3000000000000000000000000000000000
χ754-44-400-2-2-442-2222-210000000-133-3-31-1−232323−232-22-200000023−230-11-333−3−33−33−33000000000000000000000000000000000
χ764-44-400-2-2-442-2222-210000000-1-3-3331-123−23−23232-22-200000023−230-113-3−333−3−33−33000000000000000000000000000000000
χ774-44-400-2-2-442-2222-210000000-1-3-3331-1−232323−232-22-2000000−23230-113-33−3−333−33−3000000000000000000000000000000000
χ784-4-444-44400-4-44-44-440004-44-4-44-44-4-4400000000000000000000000000000000000000000000000000000000000000
χ794-4-444-44-200224-4-2-4-20004-4-222-22-222-20000000000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ804-4-444-44-200224-4-2-4-20004-4-222-22-222-20000000000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ814-4-444-4-2400-4-4-2242-2000-224-42-22-222-200000000000000000000000000000000023−2323−230000000000000000000000000
χ824-4-444-4-2400-4-4-2242-2000-224-42-22-222-2000000000000000000000000000000000−2323−23230000000000000000000000000
χ834-4-44-444400-4-44-44-44000-44-44-4-44-44-4400000000000000000000000000000000000000000000000000000000000000
χ844-4-44-444-200224-4-2-4-2000-442-222-22-22-20000000000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ854-4-44-444-200224-4-2-4-2000-442-222-22-22-20000000000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ864-4-44-44-2400-4-4-2242-20002-2-4422-22-22-200000000000000000000000000000000023−23−23230000000000000000000000000
χ874-4-44-44-2400-4-4-2242-20002-2-4422-22-22-2000000000000000000000000000000000−232323−230000000000000000000000000
χ8888-8-8008-400-44-884-8-40000000-400004400000000000000000000000000000000000000000000000000000000000000
χ8988-8-800-48008-84-4-84-40000000-400004400000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4-400-444-4442000000026-6-66-2-200000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400-444-444200000002-666-6-2-200000000000000000000000000000000000000000000000000000000000000
χ928-8-888-8-4-40044-44-442000-44-44-22-22-2-2200000000000000000000000000000000000000000000000000000000000000
χ938-8-88-88-4-40044-44-4420004-44-4-2-22-22-2200000000000000000000000000000000000000000000000000000000000000

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