Finite Group Databasebeta

← C19×#62855 #18068814

Subgroups — C19×#62855 #18068814

Order 4864.

7370 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3510C218yesmaximal, complemented
2C19×#3508C218yesmaximal, complemented
3C19×#3506C218yesmaximal, complemented
4C19×#3494C2116yesmaximal, complemented
5C19×#3490C218yesmaximal, complemented
6C19×#3460C218yesmaximal, complemented
7C19×#3458C211yesmaximal, characteristic, complemented
8C19×#3449C211yesmaximal, characteristic, complemented
9C2×C19×#535C212yesmaximal, complemented
10C19×#3428C212yesmaximal, complemented
11C2×C19×#518C211yesmaximal, characteristic, complemented
12C22×#41×C19C2212yes—
13C23×D4×C19C2211yescharacteristic
14C19×#559C22132yescomplemented
15C19×#556C22116yescomplemented
16C19×#555C22116yescomplemented
17C19×#553C22132yescomplemented
18C19×#551C22164yescomplemented
19C19×#550C22116yescomplemented
20C19×#547C22116yescomplemented
21C19×#546C22164yescomplemented
22C19×#544C2214yescomplemented
23C19×#544C2218yescomplemented
24C19×#543C2214yes—
25C19×#542C22132yescomplemented
26C19×#540C22132yescomplemented
27C19×#538C22132yescomplemented
28C19×#537C2214yescomplemented
29C19×#536C2214yescomplemented
30C19×#535C2218yes—
31C19×#535C2218yes—
32C19×#535C2218yescomplemented
33C19×#535C2218yescomplemented
34C19×#535C2214yescomplemented
35C19×#534C2214yes—
36C19×#533C2214yescomplemented
37C19×#533C2218yescomplemented
38C19×#532C2214yescomplemented
39C19×#532C22132yescomplemented
40C2×C19×#127C2214yescomplemented
41C19×#529C22132yescomplemented
42C2×C19×#124C2214yescomplemented
43C19×#525C2218yescomplemented
44C19×#525C22132yescomplemented
45C2×C19×#121C2218yescomplemented
46C2×C19×#120C2218yes—
47C19×#520C2218yescomplemented
48C19×#520C2218yescomplemented
49C19×#519C2214yescomplemented
50C19×#518C2218yes—
51C19×#518C2218yescomplemented
52C19×#518C2218yescomplemented
53C19×#518C2214yescomplemented
54C4×#41×C19C2218yescomplemented
55C4×#41×C19C2218yescomplemented
56C2×C4×D4×C19C2214yescomplemented
57C2×C4×D4×C19C2214yescomplemented
58C2×C19×#117C2211yescharacteristic
59C2×C19×#117C2211yescharacteristic
60C2×C19×#117C2212yes—
61C2×C19×#117C2218yescomplemented
62C22×C22⋊C4×C19C2214yes—
63C25×C19C2312yes—
64C2×#41×C19—216no—
65C2×#41×C19C2314yes—
66C2×#41×C19C2314yes—
67C2×#41×C19C2314yes—
68C2×#41×C19C2314yes—
69C2×#41×C19C23132yescomplemented
70C22×Q8×C19C2312yes—
71C22×D4×C19—28no—
72C22×D4×C19C2312yes—
73C22×D4×C19C2312yes—
74C22×D4×C19C2314yes—
75C22×D4×C19C2314yes—
76C22×D4×C19C2314yes—
77C22×D4×C19C2312yes—
78C22×D4×C19C23116yes—
79C23×C4×C19C2314yes—
80C23×C4×C19C2318yes—
81C23×C4×C19C2311yescharacteristic
82C19×C4⋊Q8C23116yescomplemented
83C19×C4⋊Q8C2314yescomplemented
84C19×C4⋊Q8C2318yescomplemented
85C19×#127C23116yes—
86C19×#127C23116yes—
87C19×#127C2314yescomplemented
88C19×#126C23164yescomplemented
89C19×#125C23116yescomplemented
90C19×#125C2318yescomplemented
91C19×#124C23116yes—
92C19×#124C23116yes—
93C19×#124C2318yescomplemented
94C19×#124C23164yescomplemented
95C19×#123C23116yes—
96C19×#123C23164yescomplemented
97C19×#123C23164yescomplemented
98C19×C22⋊Q8C23116yes—
99C19×C22⋊Q8C23132yes—
100C19×C22⋊Q8C23116yescomplemented
101C19×C22⋊Q8C23132yescomplemented
102C19×#121C23132yes—
103C19×#121C23132yes—
104C19×#121C23116yes—
105C19×#121C23116yescomplemented
106C19×#121C23132yescomplemented
107C19×#121C23164yescomplemented
108C19×#120C23132yes—
109C19×#120C23132yes—
110C19×#120C23116yes—
111C4×Q8×C19C23116yescomplemented
112C4×Q8×C19C23116yescomplemented
113C4×Q8×C19C23116yescomplemented
114C4×D4×C19C23132yes—
115C4×D4×C19C23116yes—
116C4×D4×C19C23116yes—
117C4×D4×C19C23132yes—
118C4×D4×C19C23132yes—
119C4×D4×C19C23116yescomplemented
120C4×D4×C19C23116yescomplemented
121C4×D4×C19C23116yescomplemented
122C4×D4×C19C23164yescomplemented
123C19×#117C2314yes—
124C19×#117C2314yes—
125C19×#117C2314yes—
126C19×#117C2314yes—
127C19×#117C2314yes—
128C19×#117C2314yes—
129C19×#117C2314yes—
130C19×#117C2314yes—
131C19×#117C23116yes—
132C19×#117C23116yescomplemented
133C19×#117C23116yescomplemented
134C19×#117C23132yescomplemented
135C2×C4⋊C4×C19C2312yes—
136C2×C4⋊C4×C19C2312yes—
137C2×C4⋊C4×C19C2314yes—
138C2×C4⋊C4×C19C23116yescomplemented
139C2×C22⋊C4×C19C2312yes—
140C2×C22⋊C4×C19C2312yes—
141C2×C22⋊C4×C19C2318yes—
142C2×C22⋊C4×C19C23132yes—
143C2×C22⋊C4×C19C2314yes—
144C2×C22⋊C4×C19C23116yes—
145C2×C22⋊C4×C19C23116yes—
146C2×C42×C19C2312yes—
147C2×C42×C19C2312yes—
148C2×C42×C19C2314yes—
149C2×C42×C19C23116yescomplemented
150C24×C19—28no—
151C24×C19—84no—
152C24×C19C2418yes—
153C24×C19C2414yes—
154C24×C19C2414yes—
155C24×C19C2411yescharacteristic
156#41×C19—216no—
157#41×C19—216no—
158#41×C19—216no—
159#41×C19—216no—
160#41×C19—832no—
161C2×Q8×C19—28no—
162C2×Q8×C19C2414yes—
163C2×Q8×C19C2414yes—
164C2×Q8×C19C24116yes—
165C2×D4×C19—216no—
166C2×D4×C19—216no—
167C2×D4×C19—216no—
168C2×D4×C19—28no—
169C2×D4×C19—28no—
170C2×D4×C19—28no—
171C2×D4×C19—816no—
172C2×D4×C19C2418yes—
173C2×D4×C19C2418yes—
174C2×D4×C19C2414yes—
175C2×D4×C19C2418yes—
176C2×D4×C19C2414yes—
177C2×D4×C19C2414yes—
178C2×D4×C19C2414yes—
179C2×D4×C19C24164yes—
180C2×D4×C19C24116yes—
181C22×C4×C19—216no—
182C22×C4×C19—88no—
183C22×C4×C19#4118yescomplemented
184C22×C4×C19C2418yes—
185C22×C4×C19C2414yes—
186C22×C4×C19C2418yes—
187C22×C4×C19C2414yes—
188C22×C4×C19C2418yes—
189C22×C4×C19C2414yes—
190C22×C4×C19C24132yes—
191C22×C4×C19C24132yes—
192C22×C4×C19C2411yescharacteristic
193C22×C4×C19C2411yescharacteristic
194C22×C4×C19C2412yes—
195C22×C4×C19C2412yes—
196C4⋊C4×C19C2414yes—
197C4⋊C4×C19C2418yes—
198C4⋊C4×C19C2414yes—
199C4⋊C4×C19C2418yes—
200C4⋊C4×C19C2418yes—
201C4⋊C4×C19C24132yes—
202C4⋊C4×C19C24116yes—
203C4⋊C4×C19C24116yes—
204C4⋊C4×C19C24132yes—
205C22⋊C4×C19C2418yes—
206C22⋊C4×C19C2418yes—
207C22⋊C4×C19C2418yes—
208C22⋊C4×C19C24132yes—
209C22⋊C4×C19C2418yes—
210C22⋊C4×C19C24132yes—
211C22⋊C4×C19C24164yes—
212C22⋊C4×C19C24132yes—
213C42×C19C2418yes—
214C42×C19C2418yes—
215C42×C19C2414yes—
216C42×C19C2414yes—
217C42×C19C2418yes—
218C42×C19C24132yes—
219#62855C1911yesmaximal, characteristic, direct product factor, Sylow
220C23×C19—28no—
221C23×C19—28no—
222C23×C19—216no—
223C23×C19—48no—
224C23×C19—42no—
225C23×C19—48no—
226C23×C19—416no—
227C23×C19—816no—
228C23×C19C2×#4114yes—
229C23×C19C2518yes—
230C23×C19C2518yes—
231C23×C19C2512yes—
232C23×C19C2511yescharacteristic
233Q8×C19—28no—
234Q8×C19—28no—
235Q8×C19—416no—
236D4×C19—216no—
237D4×C19—216no—
238D4×C19—28no—
239D4×C19—216no—
240D4×C19—28no—
241D4×C19—28no—
242D4×C19—28no—
243D4×C19—464no—
244D4×C19—416no—
245C2×C4×C19—28no—
246C2×C4×C19—216no—
247C2×C4×C19—216no—
248C2×C4×C19—44no—
249C2×C4×C19—44no—
250C2×C4×C19—432no—
251C2×C4×C19—48no—
252C2×C4×C19—432no—
253C2×C4×C19C2×#4118yes—
254C2×C4×C19C2×#4118yes—
255C2×C4×C19C2×#4114yes—
256C2×C4×C19C2×#4114yes—
257C2×C4×C19C2518yes—
258C2×C4×C19C2518yes—
259C2×C4×C19C25116yes—
260C2×C4×C19C2518yes—
261C2×C4×C19C2511yescharacteristic
262C2×C4×C19C2512yes—
263C2×C4×C19C2511yescharacteristic
264#3510C2×C1918yescomplemented
265#3508C2×C1918yescomplemented
266#3506C2×C1918yescomplemented
267#3494C2×C19116yescomplemented
268#3490C2×C1918yescomplemented
269#3460C2×C1918yescomplemented
270#3458C2×C1911yescharacteristic, complemented
271#3449C2×C1911yescharacteristic, complemented
272C2×#535C2×C1912yescomplemented
273#3428C2×C1912yescomplemented
274C2×#518C2×C1911yescharacteristic, complemented
275C22×C19—22no—
276C22×C19—24no—
277C22×C19—28no—
278C22×C19—28no—
279C22×C19—216no—
280C22×C19—216no—
281C22×C19—44no—
282C22×C19—416no—
283C22×C19—88no—
284C22×C19—816no—
285C22×C19C22×#4114yes—
286C22×C19C22×#4112yes—
287C22×C19C2611yescharacteristic
288C4×C19—28no—
289C4×C19—28no—
290C4×C19—28no—
291C4×C19—216no—
292C4×C19C22×#4112yes—
293C4×C19C22×#4114yes—
294C4×C19C22×#4112yes—
295C22×#41C22×C1912yes—
296C23×D4C22×C1911yescharacteristic
297#559C22×C19132yescomplemented
298#556C22×C19116yescomplemented
299#555C22×C19116yescomplemented
300#553C22×C19132yescomplemented
301#551C22×C19164yescomplemented
302#550C22×C19116yescomplemented
303#547C22×C19116yescomplemented
304#546C22×C19164yescomplemented
305#544C22×C1914yescomplemented
306#544C22×C1918yescomplemented
307#543C22×C1914yes—
308#542C22×C19132yescomplemented
309#540C22×C19132yescomplemented
310#538C22×C19132yescomplemented
311#537C22×C1914yescomplemented
312#536C22×C1914yescomplemented
313#535C22×C1918yes—
314#535C22×C1918yes—
315#535C22×C1918yescomplemented
316#535C22×C1918yescomplemented
317#535C22×C1914yescomplemented
318#534C22×C1914yes—
319#533C22×C1914yescomplemented
320#533C22×C1918yescomplemented
321#532C22×C1914yescomplemented
322#532C22×C19132yescomplemented
323C2×#127C22×C1914yescomplemented
324#529C22×C19132yescomplemented
325C2×#124C22×C1914yescomplemented
326#525C22×C1918yescomplemented
327#525C22×C19132yescomplemented
328C2×#121C22×C1918yescomplemented
329C2×#120C22×C1918yes—
330#520C22×C1918yescomplemented
331#520C22×C1918yescomplemented
332#519C22×C1914yescomplemented
333#518C22×C1918yes—
334#518C22×C1918yescomplemented
335#518C22×C1918yescomplemented
336#518C22×C1914yescomplemented
337C4×#41C22×C1918yescomplemented
338C4×#41C22×C1918yescomplemented
339C2×C4×D4C22×C1914yescomplemented
340C2×C4×D4C22×C1914yescomplemented
341C2×#117C22×C1911yescharacteristic
342C2×#117C22×C1911yescharacteristic
343C2×#117C22×C1912yes—
344C2×#117C22×C1918yescomplemented
345C22×C22⋊C4C22×C1914yes—
346C2×C19—22no—
347C2×C19—24no—
348C2×C19—48no—
349C2×C19—48no—
350C2×C19C23×#4111yescharacteristic
351C2×C19H(7,𝔽2)12yes—
352C25C23×C1912yes—
353C2×#41—216no—
354C2×#41C23×C1914yes—
355C2×#41C23×C1914yes—
356C2×#41C23×C1914yes—
357C2×#41C23×C1914yes—
358C2×#41C23×C19132yescomplemented
359C22×Q8C23×C1912yes—
360C22×D4—28no—
361C22×D4C23×C1912yes—
362C22×D4C23×C1912yes—
363C22×D4C23×C1914yes—
364C22×D4C23×C1914yes—
365C22×D4C23×C1914yes—
366C22×D4C23×C1912yes—
367C22×D4C23×C19116yes—
368C23×C4C23×C1914yes—
369C23×C4C23×C1918yes—
370C23×C4C23×C1911yescharacteristic
371C4⋊Q8C23×C19116yescomplemented
372C4⋊Q8C23×C1914yescomplemented
373C4⋊Q8C23×C1918yescomplemented
374#127C23×C19116yes—
375#127C23×C19116yes—
376#127C23×C1914yescomplemented
377#126C23×C19164yescomplemented
378#125C23×C19116yescomplemented
379#125C23×C1918yescomplemented
380#124C23×C19116yes—
381#124C23×C19116yes—
382#124C23×C1918yescomplemented
383#124C23×C19164yescomplemented
384#123C23×C19116yes—
385#123C23×C19164yescomplemented
386#123C23×C19164yescomplemented
387C22⋊Q8C23×C19116yes—
388C22⋊Q8C23×C19132yes—
389C22⋊Q8C23×C19116yescomplemented
390C22⋊Q8C23×C19132yescomplemented
391#121C23×C19132yes—
392#121C23×C19132yes—
393#121C23×C19116yes—
394#121C23×C19116yescomplemented
395#121C23×C19132yescomplemented
396#121C23×C19164yescomplemented
397#120C23×C19132yes—
398#120C23×C19132yes—
399#120C23×C19116yes—
400C4×Q8C23×C19116yescomplemented
401C4×Q8C23×C19116yescomplemented
402C4×Q8C23×C19116yescomplemented
403C4×D4C23×C19132yes—
404C4×D4C23×C19116yes—
405C4×D4C23×C19116yes—
406C4×D4C23×C19132yes—
407C4×D4C23×C19132yes—
408C4×D4C23×C19116yescomplemented
409C4×D4C23×C19116yescomplemented
410C4×D4C23×C19116yescomplemented
411C4×D4C23×C19164yescomplemented
412#117C23×C1914yes—
413#117C23×C1914yes—
414#117C23×C1914yes—
415#117C23×C1914yes—
416#117C23×C1914yes—
417#117C23×C1914yes—
418#117C23×C1914yes—
419#117C23×C1914yes—
420#117C23×C19116yes—
421#117C23×C19116yescomplemented
422#117C23×C19116yescomplemented
423#117C23×C19132yescomplemented
424C2×C4⋊C4C23×C1912yes—
425C2×C4⋊C4C23×C1912yes—
426C2×C4⋊C4C23×C1914yes—
427C2×C4⋊C4C23×C19116yescomplemented
428C2×C22⋊C4C23×C1912yes—
429C2×C22⋊C4C23×C1912yes—
430C2×C22⋊C4C23×C1918yes—
431C2×C22⋊C4C23×C19132yes—
432C2×C22⋊C4C23×C1914yes—
433C2×C22⋊C4C23×C19116yes—
434C2×C22⋊C4C23×C19116yes—
435C2×C42C23×C1912yes—
436C2×C42C23×C1912yes—
437C2×C42C23×C1914yes—
438C2×C42C23×C19116yescomplemented
439C19#6285511yescharacteristic, direct product factor, Sylow
440C24—28no—
441C24—84no—
442C24C24×C1918yes—
443C24C24×C1914yes—
444C24C24×C1914yes—
445C24C24×C1911yescharacteristic
446#41—216no—
447#41—216no—
448#41—216no—
449#41—216no—
450#41—832no—
451C2×Q8—28no—
452C2×Q8C24×C1914yes—
453C2×Q8C24×C1914yes—
454C2×Q8C24×C19116yes—
455C2×D4—216no—
456C2×D4—216no—
457C2×D4—216no—
458C2×D4—28no—
459C2×D4—28no—
460C2×D4—28no—
461C2×D4—816no—
462C2×D4C24×C1918yes—
463C2×D4C24×C1918yes—
464C2×D4C24×C1914yes—
465C2×D4C24×C1918yes—
466C2×D4C24×C1914yes—
467C2×D4C24×C1914yes—
468C2×D4C24×C1914yes—
469C2×D4C24×C19164yes—
470C2×D4C24×C19116yes—
471C22×C4—216no—
472C22×C4—88no—
473C22×C4#41×C1918yescomplemented
474C22×C4C24×C1918yes—
475C22×C4C24×C1914yes—
476C22×C4C24×C1918yes—
477C22×C4C24×C1914yes—
478C22×C4C24×C1918yes—
479C22×C4C24×C1914yes—
480C22×C4C24×C19132yes—
481C22×C4C24×C19132yes—
482C22×C4C24×C1911yescharacteristic
483C22×C4C24×C1911yescharacteristic
484C22×C4C24×C1912yes—
485C22×C4C24×C1912yes—
486C4⋊C4C24×C1914yes—
487C4⋊C4C24×C1918yes—
488C4⋊C4C24×C1914yes—
489C4⋊C4C24×C1918yes—
490C4⋊C4C24×C1918yes—
491C4⋊C4C24×C19132yes—
492C4⋊C4C24×C19116yes—
493C4⋊C4C24×C19116yes—
494C4⋊C4C24×C19132yes—
495C22⋊C4C24×C1918yes—
496C22⋊C4C24×C1918yes—
497C22⋊C4C24×C1918yes—
498C22⋊C4C24×C19132yes—
499C22⋊C4C24×C1918yes—
500C22⋊C4C24×C19132yes—
501C22⋊C4C24×C19164yes—
502C22⋊C4C24×C19132yes—
503C42C24×C1918yes—
504C42C24×C1918yes—
505C42C24×C1914yes—
506C42C24×C1914yes—
507C42C24×C1918yes—
508C42C24×C19132yes—
509C23—28no—
510C23—28no—
511C23—216no—
512C23—48no—
513C23—42no—
514C23—48no—
515C23—416no—
516C23—816no—
517C23C2×#41×C1914yes—
518C23C25×C1918yes—
519C23C25×C1918yes—
520C23C25×C1912yes—
521C23C25×C1911yescharacteristic
522Q8—28no—
523Q8—28no—
524Q8—416no—
525D4—216no—
526D4—216no—
527D4—28no—
528D4—216no—
529D4—28no—
530D4—28no—
531D4—28no—
532D4—464no—
533D4—416no—
534C2×C4—28no—
535C2×C4—216no—
536C2×C4—216no—
537C2×C4—44no—
538C2×C4—44no—
539C2×C4—432no—
540C2×C4—48no—
541C2×C4—432no—
542C2×C4C2×#41×C1918yes—
543C2×C4C2×#41×C1918yes—
544C2×C4C2×#41×C1914yes—
545C2×C4C2×#41×C1914yes—
546C2×C4C25×C1918yes—
547C2×C4C25×C1918yes—
548C2×C4C25×C19116yes—
549C2×C4C25×C1918yes—
550C2×C4C25×C1911yescharacteristic
551C2×C4C25×C1912yes—
552C2×C4C25×C1911yescharacteristic
553C22—22no—
554C22—24no—
555C22—28no—
556C22—28no—
557C22—216no—
558C22—216no—
559C22—44no—
560C22—416no—
561C22—816no—
562C22—88no—
563C22C22×#41×C1914yes—
564C22C22×#41×C1912yes—
565C22C26×C1911yescharacteristic
566C4—28no—
567C4—28no—
568C4—28no—
569C4—216no—
570C4C22×#41×C1912yes—
571C4C22×#41×C1914yes—
572C4C22×#41×C1912yes—
573C2—22no—
574C2—24no—
575C2—48no—
576C2—48no—
577C2C23×#41×C1911yescharacteristic
578C2C19×H(7,𝔽2)12yes—
subgroupG/H
center, socleC22×C19C26
commutator, Frattini, cosocleC22C26×C19
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C19 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C19×#3510C2semidirect
2. C19×#3508C2semidirect
3. C19×#3506C2semidirect
4. C19×#3494C2semidirect
5. C19×#3490C2semidirect
6. C19×#3460C2semidirect
7. C19×#3458C2semidirect
8. C19×#3449C2semidirect
9. C2×C19×#535C2semidirect
10. C19×#3428C2semidirect
11. C2×C19×#518C2semidirect
14. C19×#559C22semidirect
15. C19×#556C22semidirect
16. C19×#555C22semidirect
17. C19×#553C22semidirect
18. C19×#551C22semidirect
19. C19×#550C22semidirect
20. C19×#547C22semidirect
21. C19×#546C22semidirect
22. C19×#544C22semidirect
23. C19×#544C22semidirect
25. C19×#542C22semidirect
26. C19×#540C22semidirect
27. C19×#538C22semidirect
28. C19×#537C22semidirect
29. C19×#536C22semidirect
32. C19×#535C22semidirect
33. C19×#535C22semidirect
34. C19×#535C22semidirect
36. C19×#533C22semidirect
37. C19×#533C22semidirect
38. C19×#532C22semidirect
39. C19×#532C22semidirect
40. C2×C19×#127C22semidirect
41. C19×#529C22semidirect
42. C2×C19×#124C22semidirect
43. C19×#525C22semidirect
44. C19×#525C22semidirect
45. C2×C19×#121C22semidirect
47. C19×#520C22semidirect
48. C19×#520C22semidirect
49. C19×#519C22semidirect
51. C19×#518C22semidirect
52. C19×#518C22semidirect
53. C19×#518C22semidirect
54. C4×#41×C19C22semidirect
55. C4×#41×C19C22semidirect
56. C2×C4×D4×C19C22semidirect
57. C2×C4×D4×C19C22semidirect
61. C2×C19×#117C22semidirect
69. C2×#41×C19C23semidirect
82. C19×C4⋊Q8C23semidirect
83. C19×C4⋊Q8C23semidirect
84. C19×C4⋊Q8C23semidirect
87. C19×#127C23semidirect
88. C19×#126C23semidirect
89. C19×#125C23semidirect
90. C19×#125C23semidirect
93. C19×#124C23semidirect
94. C19×#124C23semidirect
96. C19×#123C23semidirect
97. C19×#123C23semidirect
100. C19×C22⋊Q8C23semidirect
101. C19×C22⋊Q8C23semidirect
105. C19×#121C23semidirect
106. C19×#121C23semidirect
107. C19×#121C23semidirect
111. C4×Q8×C19C23semidirect
112. C4×Q8×C19C23semidirect
113. C4×Q8×C19C23semidirect
119. C4×D4×C19C23semidirect
120. C4×D4×C19C23semidirect
121. C4×D4×C19C23semidirect
122. C4×D4×C19C23semidirect
132. C19×#117C23semidirect
133. C19×#117C23semidirect
134. C19×#117C23semidirect
138. C2×C4⋊C4×C19C23semidirect
149. C2×C42×C19C23semidirect
183. C22×C4×C19#41semidirect
219. #62855C19direct (N × H)
264. #3510C2×C19semidirect
265. #3508C2×C19semidirect
266. #3506C2×C19semidirect
267. #3494C2×C19semidirect
268. #3490C2×C19semidirect
269. #3460C2×C19semidirect
270. #3458C2×C19semidirect
271. #3449C2×C19semidirect
272. C2×#535C2×C19semidirect
273. #3428C2×C19semidirect
274. C2×#518C2×C19semidirect
297. #559C22×C19semidirect
298. #556C22×C19semidirect
299. #555C22×C19semidirect
300. #553C22×C19semidirect
301. #551C22×C19semidirect
302. #550C22×C19semidirect
303. #547C22×C19semidirect
304. #546C22×C19semidirect
305. #544C22×C19semidirect
306. #544C22×C19semidirect
308. #542C22×C19semidirect
309. #540C22×C19semidirect
310. #538C22×C19semidirect
311. #537C22×C19semidirect
312. #536C22×C19semidirect
315. #535C22×C19semidirect
316. #535C22×C19semidirect
317. #535C22×C19semidirect
319. #533C22×C19semidirect
320. #533C22×C19semidirect
321. #532C22×C19semidirect
322. #532C22×C19semidirect
323. C2×#127C22×C19semidirect
324. #529C22×C19semidirect
325. C2×#124C22×C19semidirect
326. #525C22×C19semidirect
327. #525C22×C19semidirect
328. C2×#121C22×C19semidirect
330. #520C22×C19semidirect
331. #520C22×C19semidirect
332. #519C22×C19semidirect
334. #518C22×C19semidirect
335. #518C22×C19semidirect
336. #518C22×C19semidirect
337. C4×#41C22×C19semidirect
338. C4×#41C22×C19semidirect
339. C2×C4×D4C22×C19semidirect
340. C2×C4×D4C22×C19semidirect
344. C2×#117C22×C19semidirect
358. C2×#41C23×C19semidirect
371. C4⋊Q8C23×C19semidirect
372. C4⋊Q8C23×C19semidirect
373. C4⋊Q8C23×C19semidirect
376. #127C23×C19semidirect
377. #126C23×C19semidirect
378. #125C23×C19semidirect
379. #125C23×C19semidirect
382. #124C23×C19semidirect
383. #124C23×C19semidirect
385. #123C23×C19semidirect
386. #123C23×C19semidirect
389. C22⋊Q8C23×C19semidirect
390. C22⋊Q8C23×C19semidirect
394. #121C23×C19semidirect
395. #121C23×C19semidirect
396. #121C23×C19semidirect
400. C4×Q8C23×C19semidirect
401. C4×Q8C23×C19semidirect
402. C4×Q8C23×C19semidirect
408. C4×D4C23×C19semidirect
409. C4×D4C23×C19semidirect
410. C4×D4C23×C19semidirect
411. C4×D4C23×C19semidirect
421. #117C23×C19semidirect
422. #117C23×C19semidirect
423. #117C23×C19semidirect
427. C2×C4⋊C4C23×C19semidirect
438. C2×C42C23×C19semidirect
439. C19#62855direct (N × H)
473. C22×C4#41×C19semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C19×#35102
C19×#35082
C19×#35062
C19×#34942
C19×#34902
C19×#34602
C19×#34582
C19×#34492
C2×C19×#5352
C19×#34282
C2×C19×#5182
#6285519