Finite Group Databasebeta

← C19×#16276 #18022235

Subgroups — C19×#16276 #18022235

Order 4864.

2006 conjugacy classes of subgroups.

The subgroup lattice has 1308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C19×#399C211yesmaximal, characteristic, complemented
2C2×C19×#394C211yesmaximal, characteristic, complemented
3C2×C19×#394C211yesmaximal, characteristic, complemented
4C2×C19×#392C211yesmaximal, characteristic
5C2×C19×#390C211yesmaximal, characteristic, complemented
6C2×C19×#388C211yesmaximal, characteristic, complemented
7C19×#1441C211yesmaximal, characteristic, complemented
8C19×#1440C211yesmaximal, characteristic, complemented
9C19×#1440C211yesmaximal, characteristic, complemented
10C19×#1439C211yesmaximal, characteristic, complemented
11C19×#1439C211yesmaximal, characteristic, complemented
12C19×#1438C211yesmaximal, characteristic, complemented
13C19×#1438C211yesmaximal, characteristic, complemented
14C19×#1438C211yesmaximal, characteristic, complemented
15C19×#1436C211yesmaximal, characteristic, complemented
16C23×D4×C19C2211yescharacteristic
17C23×D4×C19C2211yescharacteristic
18C23×D4×C19C2211yescharacteristic
19C22×C4⋊C4×C19C2211yescharacteristic
20C22×C4⋊C4×C19C2211yescharacteristic
21C22×C4⋊C4×C19C2211yescharacteristic
22C22×C4⋊C4×C19C2211yescharacteristic
23C22×C22⋊C4×C19C2211yescharacteristic
24C22×C22⋊C4×C19C2211yescharacteristic
25C22×C22⋊C4×C19C2211yescharacteristic
26C22×C22⋊C4×C19C2211yescharacteristic
27C22×C22⋊C4×C19C2211yescharacteristic
28C22×C22⋊C4×C19C2211yescharacteristic
29C22×C22⋊C4×C19C2211yescharacteristic
30C22×C22⋊C4×C19C2211yescharacteristic
31C22×C22⋊C4×C19C2211yescharacteristic
32C22×C22⋊C4×C19C2211yescharacteristic
33C22×C22⋊C4×C19C2211yescharacteristic
34C22×C22⋊C4×C19C2211yescharacteristic
35C22×C22⋊C4×C19C2211yescharacteristic
36C22×C22⋊C4×C19C2211yescharacteristic
37C22×C22⋊C4×C19C2211yescharacteristic
38C22×C42×C19C2211yescharacteristic
39C19×#399—24no—
40C19×#394—24no—
41C19×#394—24no—
42C19×#392—24no—
43C19×#390—24no—
44C19×#388—24no—
45C2×C19×#95C2211yescharacteristic
46C2×C19×#95C2211yescharacteristic
47C2×C19×#95C2211yescharacteristic
48C2×C19×#95C2211yescharacteristic
49C2×C19×#95C2211yescharacteristic
50C2×C19×#95C2211yescharacteristic
51C2×C19×#95C2211yescharacteristic
52C2×C19×#95C2211yescharacteristic
53C2×C19×#95C2211yescharacteristic
54C2×C19×#95C2211yescharacteristic
55C2×C19×#95C2211yescharacteristic
56C2×C19×#95C2211yescharacteristic
57C25×C19C2311yescharacteristic
58C25×C19C2311yescharacteristic
59C25×C19C2311yescharacteristic
60C22×D4×C19—22no—
61C22×D4×C19—22no—
62C22×D4×C19—22no—
63C22×D4×C19—22no—
64C22×D4×C19—22no—
65C22×D4×C19—22no—
66C22×D4×C19—22no—
67C22×D4×C19—22no—
68C22×D4×C19—22no—
69C22×D4×C19—22no—
70C22×D4×C19—22no—
71C22×D4×C19—41no—
72C22×D4×C19—41no—
73C22×D4×C19—41no—
74C22×D4×C19—41no—
75C22×D4×C19—41no—
76C22×D4×C19—41no—
77C22×D4×C19—41no—
78C22×D4×C19—41no—
79C22×D4×C19—41no—
80C22×D4×C19—41no—
81C23×C4×C19C2311yescharacteristic
82C23×C4×C19C2311yescharacteristic
83C23×C4×C19C2311yescharacteristic
84C23×C4×C19C2311yescharacteristic
85C23×C4×C19C2311yescharacteristic
86C23×C4×C19C2311yescharacteristic
87C23×C4×C19C2311yescharacteristic
88C23×C4×C19C2311yescharacteristic
89C23×C4×C19C2311yescharacteristic
90C23×C4×C19C2311yescharacteristic
91C23×C4×C19C2311yescharacteristic
92C23×C4×C19C2311yescharacteristic
93C2×C4⋊C4×C19—22no—
94C2×C4⋊C4×C19—22no—
95C2×C4⋊C4×C19—22no—
96C2×C4⋊C4×C19—22no—
97C2×C4⋊C4×C19—22no—
98C2×C4⋊C4×C19—22no—
99C2×C4⋊C4×C19—41no—
100C2×C4⋊C4×C19—41no—
101C2×C4⋊C4×C19—41no—
102C2×C4⋊C4×C19—41no—
103C2×C4⋊C4×C19—41no—
104C2×C4⋊C4×C19D414yescomplemented
105C2×C22⋊C4×C19—22no—
106C2×C22⋊C4×C19—22no—
107C2×C22⋊C4×C19—22no—
108C2×C22⋊C4×C19—22no—
109C2×C22⋊C4×C19—22no—
110C2×C22⋊C4×C19—22no—
111C2×C22⋊C4×C19—22no—
112C2×C22⋊C4×C19—22no—
113C2×C22⋊C4×C19—22no—
114C2×C22⋊C4×C19—22no—
115C2×C22⋊C4×C19—22no—
116C2×C22⋊C4×C19—22no—
117C2×C22⋊C4×C19—22no—
118C2×C22⋊C4×C19—22no—
119C2×C22⋊C4×C19—22no—
120C2×C22⋊C4×C19—22no—
121C2×C22⋊C4×C19—22no—
122C2×C22⋊C4×C19—22no—
123C2×C22⋊C4×C19—22no—
124C2×C22⋊C4×C19—22no—
125C2×C22⋊C4×C19—22no—
126C2×C22⋊C4×C19—41no—
127C2×C22⋊C4×C19—41no—
128C2×C22⋊C4×C19—41no—
129C2×C22⋊C4×C19—41no—
130C2×C22⋊C4×C19—41no—
131C2×C22⋊C4×C19—41no—
132C2×C22⋊C4×C19—41no—
133C2×C22⋊C4×C19—41no—
134C2×C22⋊C4×C19—41no—
135C2×C22⋊C4×C19—41no—
136C2×C22⋊C4×C19—41no—
137C2×C22⋊C4×C19—41no—
138C2×C22⋊C4×C19—41no—
139C2×C22⋊C4×C19—41no—
140C2×C22⋊C4×C19—41no—
141C2×C22⋊C4×C19—41no—
142C2×C22⋊C4×C19—41no—
143C2×C22⋊C4×C19—41no—
144C2×C22⋊C4×C19—41no—
145C2×C22⋊C4×C19—41no—
146C2×C22⋊C4×C19—41no—
147C2×C22⋊C4×C19—41no—
148C2×C22⋊C4×C19D414yes—
149C2×C22⋊C4×C19D414yescomplemented
150C2×C42×C19—22no—
151C2×C42×C19—22no—
152C2×C42×C19—41no—
153C19×#95—22no—
154C19×#95—22no—
155C19×#95—22no—
156C19×#95—22no—
157C19×#95—22no—
158C19×#95—22no—
159C19×#95—22no—
160C19×#95—22no—
161C19×#95—41no—
162C19×#95—41no—
163C19×#95—41no—
164C19×#95—41no—
165C24×C19—21no—
166C24×C19—21no—
167C24×C19—21no—
168C24×C19—21no—
169C24×C19—21no—
170C24×C19—21no—
171C24×C19—21no—
172C24×C19—21no—
173C24×C19—21no—
174C24×C19—21no—
175C24×C19—21no—
176C24×C19—21no—
177C24×C19—21no—
178C24×C19—21no—
179C24×C19—21no—
180C24×C19—21no—
181C24×C19—21no—
182C24×C19—21no—
183C24×C19—21no—
184C24×C19—21no—
185C24×C19—21no—
186C24×C19—21no—
187C24×C19—21no—
188C24×C19—21no—
189C24×C19—21no—
190C24×C19—21no—
191C24×C19—21no—
192C24×C19—21no—
193C24×C19—21no—
194C24×C19—21no—
195C24×C19—21no—
196C24×C19—21no—
197C24×C19—21no—
198C24×C19—21no—
199C24×C19—21no—
200C24×C19—21no—
201C24×C19—21no—
202C24×C19—21no—
203C24×C19—21no—
204C24×C19—21no—
205C24×C19—21no—
206C24×C19—21no—
207C24×C19C2×D412yes—
208C24×C19C2×D412yes—
209C24×C19#4112yes—
210C24×C19C2411yescharacteristic
211C2×D4×C19—28no—
212C2×D4×C19—44no—
213C2×D4×C19—44no—
214C2×D4×C19—44no—
215C2×D4×C19—44no—
216C2×D4×C19—44no—
217C2×D4×C19—44no—
218C2×D4×C19—44no—
219C2×D4×C19—44no—
220C2×D4×C19—44no—
221C2×D4×C19—44no—
222C2×D4×C19—44no—
223C2×D4×C19—44no—
224C2×D4×C19—44no—
225C2×D4×C19—44no—
226C2×D4×C19—44no—
227C2×D4×C19—44no—
228C2×D4×C19—44no—
229C2×D4×C19—44no—
230C2×D4×C19—44no—
231C2×D4×C19—44no—
232C22×C4×C19—21no—
233C22×C4×C19—21no—
234C22×C4×C19—21no—
235C22×C4×C19—21no—
236C22×C4×C19—21no—
237C22×C4×C19—21no—
238C22×C4×C19—21no—
239C22×C4×C19—21no—
240C22×C4×C19—21no—
241C22×C4×C19—21no—
242C22×C4×C19—21no—
243C22×C4×C19—21no—
244C22×C4×C19—21no—
245C22×C4×C19—21no—
246C22×C4×C19—21no—
247C22×C4×C19—21no—
248C22×C4×C19—21no—
249C22×C4×C19—21no—
250C22×C4×C19—21no—
251C22×C4×C19—21no—
252C22×C4×C19—21no—
253C22×C4×C19—21no—
254C22×C4×C19—21no—
255C22×C4×C19—21no—
256C22×C4×C19—21no—
257C22×C4×C19—21no—
258C22×C4×C19—21no—
259C22×C4×C19—21no—
260C22×C4×C19—21no—
261C22×C4×C19—21no—
262C22×C4×C19—21no—
263C22×C4×C19—21no—
264C22×C4×C19—21no—
265C22×C4×C19—21no—
266C22×C4×C19—21no—
267C22×C4×C19—21no—
268C22×C4×C19—21no—
269C22×C4×C19—21no—
270C22×C4×C19—21no—
271C22×C4×C19—21no—
272C22×C4×C19—21no—
273C22×C4×C19—21no—
274C22×C4×C19—21no—
275C22×C4×C19—21no—
276C22×C4×C19—21no—
277C22×C4×C19—21no—
278C22×C4×C19—21no—
279C22×C4×C19—21no—
280C22×C4×C19—21no—
281C22×C4×C19—21no—
282C22×C4×C19—21no—
283C22×C4×C19—21no—
284C22×C4×C19—21no—
285C22×C4×C19—21no—
286C22×C4×C19—21no—
287C22×C4×C19—21no—
288C22×C4×C19—21no—
289C22×C4×C19—21no—
290C22×C4×C19—21no—
291C22×C4×C19—21no—
292C22×C4×C19—21no—
293C22×C4×C19—21no—
294C22×C4×C19—21no—
295C22×C4×C19—21no—
296C22×C4×C19—21no—
297C22×C4×C19—21no—
298C22×C4×C19—21no—
299C22×C4×C19—21no—
300C22×C4×C19—21no—
301C22×C4×C19—21no—
302C22×C4×C19—21no—
303C22×C4×C19—21no—
304C22×C4×C19—21no—
305C22×C4×C19—21no—
306C22×C4×C19C2×D412yes—
307C22×C4×C19C2×D412yes—
308C22×C4×C19C2×D412yes—
309C22×C4×C19C2×D412yes—
310C22×C4×C19C2×D412yes—
311C22×C4×C19C2×D412yes—
312C22×C4×C19C2×D412yes—
313C22×C4×C19#4112yes—
314C22×C4×C19#4112yes—
315C22×C4×C19#4112yes—
316C4⋊C4×C19—44no—
317C4⋊C4×C19—44no—
318C4⋊C4×C19—44no—
319C4⋊C4×C19—44no—
320C22⋊C4×C19—28no—
321C22⋊C4×C19—44no—
322C22⋊C4×C19—44no—
323C22⋊C4×C19—44no—
324C22⋊C4×C19—44no—
325C22⋊C4×C19—44no—
326C22⋊C4×C19—44no—
327C22⋊C4×C19—44no—
328C22⋊C4×C19—44no—
329C22⋊C4×C19—44no—
330C22⋊C4×C19—44no—
331C22⋊C4×C19—44no—
332C22⋊C4×C19—44no—
333C22⋊C4×C19—44no—
334C22⋊C4×C19—44no—
335C42×C19—44no—
336#16276C1911yesmaximal, characteristic, direct product factor, Sylow
337C23×C19—22no—
338C23×C19—22no—
339C23×C19—22no—
340C23×C19—22no—
341C23×C19—22no—
342C23×C19—22no—
343C23×C19—22no—
344C23×C19—22no—
345C23×C19—22no—
346C23×C19—22no—
347C23×C19—22no—
348C23×C19—22no—
349C23×C19—22no—
350C23×C19—22no—
351C23×C19—22no—
352C23×C19—22no—
353C23×C19—22no—
354C23×C19—22no—
355C23×C19—22no—
356C23×C19—22no—
357C23×C19—22no—
358C23×C19—41no—
359C23×C19—41no—
360C23×C19—41no—
361C23×C19—41no—
362C23×C19—41no—
363C23×C19—41no—
364C23×C19—41no—
365C23×C19—41no—
366C23×C19—41no—
367C23×C19—41no—
368C23×C19—41no—
369C23×C19—41no—
370C23×C19—41no—
371C23×C19—41no—
372C23×C19—41no—
373C23×C19—41no—
374C23×C19—41no—
375C23×C19—41no—
376C23×C19—41no—
377C23×C19—41no—
378C23×C19—41no—
379C23×C19—41no—
380C23×C19—41no—
381C23×C19—41no—
382C23×C19—41no—
383C23×C19—41no—
384C23×C19—41no—
385C23×C19—41no—
386C23×C19—41no—
387C23×C19—41no—
388C23×C19—41no—
389C23×C19—41no—
390C23×C19—41no—
391C23×C19—41no—
392C23×C19—41no—
393C23×C19—41no—
394C23×C19—41no—
395C23×C19—41no—
396C23×C19—41no—
397C23×C19—41no—
398C23×C19—41no—
399C23×C19—41no—
400C23×C19—41no—
401C23×C19—41no—
402C23×C19—41no—
403C23×C19—41no—
404C23×C19—41no—
405C23×C19—41no—
406C23×C19—41no—
407C23×C19—41no—
408C23×C19—41no—
409C23×C19—41no—
410C23×C19—41no—
411C23×C19—41no—
412C23×C19—41no—
413C23×C19—41no—
414C23×C19—41no—
415C23×C19—41no—
416C23×C19—41no—
417C23×C19—41no—
418C23×C19—41no—
419C23×C19—41no—
420C23×C19—41no—
421C23×C19—41no—
422C23×C19—41no—
423C23×C19—41no—
424C23×C19—41no—
425C23×C19—41no—
426C23×C19—41no—
427C23×C19—41no—
428C23×C19—41no—
429C23×C19—41no—
430C23×C19—41no—
431C23×C19—41no—
432C23×C19—41no—
433C23×C19—41no—
434C23×C19—41no—
435C23×C19—41no—
436C23×C19—41no—
437C23×C19—41no—
438C23×C19—41no—
439C23×C19—41no—
440C23×C19—41no—
441C23×C19—41no—
442C23×C19C22×D411yescharacteristic
443C23×C19C22×D411yescharacteristic
444C23×C19C22×D411yescharacteristic
445C23×C19C2×#4111yescharacteristic
446C23×C19C2×#4111yescharacteristic
447C23×C19C2×#4111yescharacteristic
448C23×C19C2×#4111yescharacteristic
449C23×C19H(5,𝔽2)11yescharacteristic
450C23×C19H(5,𝔽2)11yescharacteristic
451C23×C19H(5,𝔽2)11yescharacteristic
452C23×C19H(5,𝔽2)11yescharacteristic
453C23×C19H(5,𝔽2)11yescharacteristic
454C23×C19H(5,𝔽2)11yescharacteristic
455C23×C19H(5,𝔽2)11yescharacteristic
456C23×C192−1+411yescharacteristic
457D4×C19—416no—
458D4×C19—416no—
459D4×C19—416no—
460C2×C4×C19—22no—
461C2×C4×C19—22no—
462C2×C4×C19—22no—
463C2×C4×C19—22no—
464C2×C4×C19—22no—
465C2×C4×C19—22no—
466C2×C4×C19—22no—
467C2×C4×C19—22no—
468C2×C4×C19—22no—
469C2×C4×C19—22no—
470C2×C4×C19—22no—
471C2×C4×C19—22no—
472C2×C4×C19—22no—
473C2×C4×C19—22no—
474C2×C4×C19—22no—
475C2×C4×C19—22no—
476C2×C4×C19—22no—
477C2×C4×C19—22no—
478C2×C4×C19—22no—
479C2×C4×C19—22no—
480C2×C4×C19—22no—
481C2×C4×C19—22no—
482C2×C4×C19—22no—
483C2×C4×C19—22no—
484C2×C4×C19—22no—
485C2×C4×C19—22no—
486C2×C4×C19—22no—
487C2×C4×C19—41no—
488C2×C4×C19—41no—
489C2×C4×C19—41no—
490C2×C4×C19—41no—
491C2×C4×C19—41no—
492C2×C4×C19—41no—
493C2×C4×C19—41no—
494C2×C4×C19—41no—
495C2×C4×C19—41no—
496C2×C4×C19—41no—
497C2×C4×C19—41no—
498C2×C4×C19—41no—
499C2×C4×C19—41no—
500C2×C4×C19—41no—
501C2×C4×C19—41no—
502C2×C4×C19—41no—
503C2×C4×C19—41no—
504C2×C4×C19—41no—
505C2×C4×C19—41no—
506C2×C4×C19—41no—
507C2×C4×C19—41no—
508C2×C4×C19—41no—
509C2×C4×C19—41no—
510C2×C4×C19—41no—
511C2×C4×C19—41no—
512C2×C4×C19—41no—
513C2×C4×C19—41no—
514C2×C4×C19—41no—
515C2×C4×C19—41no—
516C2×C4×C19—41no—
517C2×C4×C19—41no—
518C2×C4×C19—41no—
519C2×C4×C19—41no—
520C2×C4×C19—41no—
521C2×C4×C19—41no—
522C2×C4×C19—41no—
523C2×C4×C19—41no—
524C2×C4×C19—41no—
525C2×C4×C19—41no—
526C2×C4×C19—41no—
527C2×C4×C19—41no—
528C2×C4×C19—41no—
529C2×C4×C19—41no—
530C2×C4×C19—41no—
531C2×C4×C19—41no—
532C2×C4×C19—41no—
533C2×C4×C19—41no—
534C2×C4×C19—41no—
535C2×C4×C19—41no—
536C2×C4×C19—41no—
537C2×C4×C19—41no—
538C2×C4×C19—41no—
539C2×C4×C19—41no—
540C2×C4×C19—41no—
541C2×C4×C19—41no—
542C2×C4×C19—41no—
543C2×C4×C19#12314yes—
544C2×#399C2×C1911yescharacteristic, complemented
545C2×#394C2×C1911yescharacteristic, complemented
546C2×#394C2×C1911yescharacteristic, complemented
547C2×#392C2×C1911yescharacteristic
548C2×#390C2×C1911yescharacteristic, complemented
549C2×#388C2×C1911yescharacteristic, complemented
550#1441C2×C1911yescharacteristic, complemented
551#1440C2×C1911yescharacteristic, complemented
552#1440C2×C1911yescharacteristic, complemented
553#1439C2×C1911yescharacteristic, complemented
554#1439C2×C1911yescharacteristic, complemented
555#1438C2×C1911yescharacteristic, complemented
556#1438C2×C1911yescharacteristic, complemented
557#1438C2×C1911yescharacteristic, complemented
558#1436C2×C1911yescharacteristic, complemented
559C22×C19—42no—
560C22×C19—42no—
561C22×C19—42no—
562C22×C19—42no—
563C22×C19—42no—
564C22×C19—42no—
565C22×C19—42no—
566C22×C19—42no—
567C22×C19—42no—
568C22×C19—42no—
569C22×C19—42no—
570C22×C19—42no—
571C22×C19—42no—
572C22×C19—42no—
573C22×C19—42no—
574C22×C19—42no—
575C22×C19—42no—
576C22×C19—42no—
577C22×C19—42no—
578C22×C19—42no—
579C22×C19—42no—
580C22×C19—81no—
581C22×C19—81no—
582C22×C19—81no—
583C22×C19—81no—
584C22×C19—81no—
585C22×C19—81no—
586C22×C19—81no—
587C22×C19—81no—
588C22×C19—81no—
589C22×C19—81no—
590C22×C19—81no—
591C22×C19—81no—
592C22×C19—81no—
593C22×C19—81no—
594C22×C19—81no—
595C22×C19—81no—
596C22×C19—81no—
597C22×C19—81no—
598C22×C19—81no—
599C22×C19—81no—
600C22×C19—81no—
601C22×C19—81no—
602C22×C19—81no—
603C22×C19—81no—
604C22×C19C2×#12311yescharacteristic
605C22×C19#52511yescharacteristic
606C22×C19#53211yescharacteristic
607C22×C19#53411yescharacteristic
608C22×C19#53411yescharacteristic
609C22×C19#53511yescharacteristic
610C22×C19#53511yescharacteristic
611C22×C19#53511yescharacteristic
612C22×C19#53711yescharacteristic
613C22×C19#53811yescharacteristic
614C22×C19#53811yescharacteristic
615C22×C19#53811yescharacteristic
616C22×C19#53811yescharacteristic
617C22×C19#54011yescharacteristic
618C22×C19#54011yescharacteristic
619C22×C19#54011yescharacteristic
620C22×C19#54011yescharacteristic
621C22×C19#54211yescharacteristic
622C22×C19#54211yescharacteristic
623C22×C19D4211yescharacteristic
624C22×C19D4211yescharacteristic
625C22×C19D4211yescharacteristic
626C22×C19#54611yescharacteristic
627C22×C19#54611yescharacteristic
628C22×C19#54611yescharacteristic
629C22×C19#54711yescharacteristic
630C22×C19#54811yescharacteristic
631C22×C19#55011yescharacteristic
632C22×C19#55111yescharacteristic
633C22×C19#55111yescharacteristic
634C22×C19#55911yescharacteristic
635C22×C19#56011yescharacteristic
636C22×C19#56011yescharacteristic
637C22×C19#56211yescharacteristic
638C22×C19#56211yescharacteristic
639C4×C19—24no—
640C4×C19—42no—
641C4×C19—42no—
642C4×C19—42no—
643C4×C19—42no—
644C4×C19—42no—
645C4×C19—42no—
646C4×C19—42no—
647C4×C19—81no—
648C4×C19—81no—
649C4×C19—81no—
650C4×C19—81no—
651C23×D4C22×C1911yescharacteristic
652C23×D4C22×C1911yescharacteristic
653C23×D4C22×C1911yescharacteristic
654C22×C4⋊C4C22×C1911yescharacteristic
655C22×C4⋊C4C22×C1911yescharacteristic
656C22×C4⋊C4C22×C1911yescharacteristic
657C22×C4⋊C4C22×C1911yescharacteristic
658C22×C22⋊C4C22×C1911yescharacteristic
659C22×C22⋊C4C22×C1911yescharacteristic
660C22×C22⋊C4C22×C1911yescharacteristic
661C22×C22⋊C4C22×C1911yescharacteristic
662C22×C22⋊C4C22×C1911yescharacteristic
663C22×C22⋊C4C22×C1911yescharacteristic
664C22×C22⋊C4C22×C1911yescharacteristic
665C22×C22⋊C4C22×C1911yescharacteristic
666C22×C22⋊C4C22×C1911yescharacteristic
667C22×C22⋊C4C22×C1911yescharacteristic
668C22×C22⋊C4C22×C1911yescharacteristic
669C22×C22⋊C4C22×C1911yescharacteristic
670C22×C22⋊C4C22×C1911yescharacteristic
671C22×C22⋊C4C22×C1911yescharacteristic
672C22×C22⋊C4C22×C1911yescharacteristic
673C22×C42C22×C1911yescharacteristic
674#399—24no—
675#394—24no—
676#394—24no—
677#392—24no—
678#390—24no—
679#388—24no—
680C2×#95C22×C1911yescharacteristic
681C2×#95C22×C1911yescharacteristic
682C2×#95C22×C1911yescharacteristic
683C2×#95C22×C1911yescharacteristic
684C2×#95C22×C1911yescharacteristic
685C2×#95C22×C1911yescharacteristic
686C2×#95C22×C1911yescharacteristic
687C2×#95C22×C1911yescharacteristic
688C2×#95C22×C1911yescharacteristic
689C2×#95C22×C1911yescharacteristic
690C2×#95C22×C1911yescharacteristic
691C2×#95C22×C1911yescharacteristic
692C2×C19—82no—
693C2×C19—82no—
694C2×C19—82no—
695C2×C19#241811yescharacteristic
696C2×C19#244511yescharacteristic
697C2×C19#246111yescharacteristic
698C2×C19#262411yescharacteristic
699C2×C19#263511yescharacteristic
700C2×C19#266111yescharacteristic
701C2×C19#266911yescharacteristic
702C2×C19#267111yescharacteristic
703C2×C19#267311yescharacteristic
704C2×C19#267611yescharacteristic
705C2×C19#268511yescharacteristic
706C2×C19#271011yescharacteristic
707C2×C19#273011yescharacteristic
708C2×C19#275211yescharacteristic
709C2×C19#282911yescharacteristic
710C25C23×C1911yescharacteristic
711C25C23×C1911yescharacteristic
712C25C23×C1911yescharacteristic
713C22×D4—22no—
714C22×D4—22no—
715C22×D4—22no—
716C22×D4—22no—
717C22×D4—22no—
718C22×D4—22no—
719C22×D4—22no—
720C22×D4—22no—
721C22×D4—22no—
722C22×D4—22no—
723C22×D4—22no—
724C22×D4—41no—
725C22×D4—41no—
726C22×D4—41no—
727C22×D4—41no—
728C22×D4—41no—
729C22×D4—41no—
730C22×D4—41no—
731C22×D4—41no—
732C22×D4—41no—
733C22×D4—41no—
734C23×C4C23×C1911yescharacteristic
735C23×C4C23×C1911yescharacteristic
736C23×C4C23×C1911yescharacteristic
737C23×C4C23×C1911yescharacteristic
738C23×C4C23×C1911yescharacteristic
739C23×C4C23×C1911yescharacteristic
740C23×C4C23×C1911yescharacteristic
741C23×C4C23×C1911yescharacteristic
742C23×C4C23×C1911yescharacteristic
743C23×C4C23×C1911yescharacteristic
744C23×C4C23×C1911yescharacteristic
745C23×C4C23×C1911yescharacteristic
746C2×C4⋊C4—22no—
747C2×C4⋊C4—22no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—22no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—41no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4D4×C1914yescomplemented
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4D4×C1914yes—
802C2×C22⋊C4D4×C1914yescomplemented
803C2×C42—22no—
804C2×C42—22no—
805C2×C42—41no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—41no—
815#95—41no—
816#95—41no—
817#95—41no—
818C19#1627611yescharacteristic, direct product factor, Sylow
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24C2×D4×C1912yes—
862C24C2×D4×C1912yes—
863C24#41×C1912yes—
864C24C24×C1911yescharacteristic
865C2×D4—28no—
866C2×D4—44no—
867C2×D4—44no—
868C2×D4—44no—
869C2×D4—44no—
870C2×D4—44no—
871C2×D4—44no—
872C2×D4—44no—
873C2×D4—44no—
874C2×D4—44no—
875C2×D4—44no—
876C2×D4—44no—
877C2×D4—44no—
878C2×D4—44no—
879C2×D4—44no—
880C2×D4—44no—
881C2×D4—44no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—44no—
885C2×D4—44no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4C2×D4×C1912yes—
961C22×C4C2×D4×C1912yes—
962C22×C4C2×D4×C1912yes—
963C22×C4C2×D4×C1912yes—
964C22×C4C2×D4×C1912yes—
965C22×C4C2×D4×C1912yes—
966C22×C4C2×D4×C1912yes—
967C22×C4#41×C1912yes—
968C22×C4#41×C1912yes—
969C22×C4#41×C1912yes—
970C4⋊C4—44no—
971C4⋊C4—44no—
972C4⋊C4—44no—
973C4⋊C4—44no—
974C22⋊C4—28no—
975C22⋊C4—44no—
976C22⋊C4—44no—
977C22⋊C4—44no—
978C22⋊C4—44no—
979C22⋊C4—44no—
980C22⋊C4—44no—
981C22⋊C4—44no—
982C22⋊C4—44no—
983C22⋊C4—44no—
984C22⋊C4—44no—
985C22⋊C4—44no—
986C22⋊C4—44no—
987C22⋊C4—44no—
988C22⋊C4—44no—
989C42—44no—
990C23—22no—
991C23—22no—
992C23—22no—
993C23—22no—
994C23—22no—
995C23—22no—
996C23—22no—
997C23—22no—
998C23—22no—
999C23—22no—
1000C23—22no—
1001C23—22no—
1002C23—22no—
1003C23—22no—
1004C23—22no—
1005C23—22no—
1006C23—22no—
1007C23—22no—
1008C23—22no—
1009C23—22no—
1010C23—22no—
1011C23—41no—
1012C23—41no—
1013C23—41no—
1014C23—41no—
1015C23—41no—
1016C23—41no—
1017C23—41no—
1018C23—41no—
1019C23—41no—
1020C23—41no—
1021C23—41no—
1022C23—41no—
1023C23—41no—
1024C23—41no—
1025C23—41no—
1026C23—41no—
1027C23—41no—
1028C23—41no—
1029C23—41no—
1030C23—41no—
1031C23—41no—
1032C23—41no—
1033C23—41no—
1034C23—41no—
1035C23—41no—
1036C23—41no—
1037C23—41no—
1038C23—41no—
1039C23—41no—
1040C23—41no—
1041C23—41no—
1042C23—41no—
1043C23—41no—
1044C23—41no—
1045C23—41no—
1046C23—41no—
1047C23—41no—
1048C23—41no—
1049C23—41no—
1050C23—41no—
1051C23—41no—
1052C23—41no—
1053C23—41no—
1054C23—41no—
1055C23—41no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—41no—
1060C23—41no—
1061C23—41no—
1062C23—41no—
1063C23—41no—
1064C23—41no—
1065C23—41no—
1066C23—41no—
1067C23—41no—
1068C23—41no—
1069C23—41no—
1070C23—41no—
1071C23—41no—
1072C23—41no—
1073C23—41no—
1074C23—41no—
1075C23—41no—
1076C23—41no—
1077C23—41no—
1078C23—41no—
1079C23—41no—
1080C23—41no—
1081C23—41no—
1082C23—41no—
1083C23—41no—
1084C23—41no—
1085C23—41no—
1086C23—41no—
1087C23—41no—
1088C23—41no—
1089C23—41no—
1090C23—41no—
1091C23—41no—
1092C23—41no—
1093C23—41no—
1094C23—41no—
1095C23C22×D4×C1911yescharacteristic
1096C23C22×D4×C1911yescharacteristic
1097C23C22×D4×C1911yescharacteristic
1098C23C2×#41×C1911yescharacteristic
1099C23C2×#41×C1911yescharacteristic
1100C23C2×#41×C1911yescharacteristic
1101C23C2×#41×C1911yescharacteristic
1102C23C19×H(5,𝔽2)11yescharacteristic
1103C23C19×H(5,𝔽2)11yescharacteristic
1104C23C19×H(5,𝔽2)11yescharacteristic
1105C23C19×H(5,𝔽2)11yescharacteristic
1106C23C19×H(5,𝔽2)11yescharacteristic
1107C23C19×H(5,𝔽2)11yescharacteristic
1108C23C19×H(5,𝔽2)11yescharacteristic
1109C23C19×2−1+411yescharacteristic
1110D4—416no—
1111D4—416no—
1112D4—416no—
1113C2×C4—22no—
1114C2×C4—22no—
1115C2×C4—22no—
1116C2×C4—22no—
1117C2×C4—22no—
1118C2×C4—22no—
1119C2×C4—22no—
1120C2×C4—22no—
1121C2×C4—22no—
1122C2×C4—22no—
1123C2×C4—22no—
1124C2×C4—22no—
1125C2×C4—22no—
1126C2×C4—22no—
1127C2×C4—22no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—22no—
1131C2×C4—22no—
1132C2×C4—22no—
1133C2×C4—22no—
1134C2×C4—22no—
1135C2×C4—22no—
1136C2×C4—22no—
1137C2×C4—22no—
1138C2×C4—22no—
1139C2×C4—22no—
1140C2×C4—41no—
1141C2×C4—41no—
1142C2×C4—41no—
1143C2×C4—41no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—41no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—41no—
1160C2×C4—41no—
1161C2×C4—41no—
1162C2×C4—41no—
1163C2×C4—41no—
1164C2×C4—41no—
1165C2×C4—41no—
1166C2×C4—41no—
1167C2×C4—41no—
1168C2×C4—41no—
1169C2×C4—41no—
1170C2×C4—41no—
1171C2×C4—41no—
1172C2×C4—41no—
1173C2×C4—41no—
1174C2×C4—41no—
1175C2×C4—41no—
1176C2×C4—41no—
1177C2×C4—41no—
1178C2×C4—41no—
1179C2×C4—41no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4C19×#12314yes—
1197C22—42no—
1198C22—42no—
1199C22—42no—
1200C22—42no—
1201C22—42no—
1202C22—42no—
1203C22—42no—
1204C22—42no—
1205C22—42no—
1206C22—42no—
1207C22—42no—
1208C22—42no—
1209C22—42no—
1210C22—42no—
1211C22—42no—
1212C22—42no—
1213C22—42no—
1214C22—42no—
1215C22—42no—
1216C22—42no—
1217C22—42no—
1218C22—81no—
1219C22—81no—
1220C22—81no—
1221C22—81no—
1222C22—81no—
1223C22—81no—
1224C22—81no—
1225C22—81no—
1226C22—81no—
1227C22—81no—
1228C22—81no—
1229C22—81no—
1230C22—81no—
1231C22—81no—
1232C22—81no—
1233C22—81no—
1234C22—81no—
1235C22—81no—
1236C22—81no—
1237C22—81no—
1238C22—81no—
1239C22—81no—
1240C22—81no—
1241C22—81no—
1242C22C2×C19×#12311yescharacteristic
1243C22C19×#52511yescharacteristic
1244C22C19×#53211yescharacteristic
1245C22C19×#53411yescharacteristic
1246C22C19×#53411yescharacteristic
1247C22C19×#53511yescharacteristic
1248C22C19×#53511yescharacteristic
1249C22C19×#53511yescharacteristic
1250C22C19×#53711yescharacteristic
1251C22C19×#53811yescharacteristic
1252C22C19×#53811yescharacteristic
1253C22C19×#53811yescharacteristic
1254C22C19×#53811yescharacteristic
1255C22C19×#54011yescharacteristic
1256C22C19×#54011yescharacteristic
1257C22C19×#54011yescharacteristic
1258C22C19×#54011yescharacteristic
1259C22C19×#54211yescharacteristic
1260C22C19×#54211yescharacteristic
1261C22D42×C1911yescharacteristic
1262C22D42×C1911yescharacteristic
1263C22D42×C1911yescharacteristic
1264C22C19×#54611yescharacteristic
1265C22C19×#54611yescharacteristic
1266C22C19×#54611yescharacteristic
1267C22C19×#54711yescharacteristic
1268C22C19×#54811yescharacteristic
1269C22C19×#55011yescharacteristic
1270C22C19×#55111yescharacteristic
1271C22C19×#55111yescharacteristic
1272C22C19×#55911yescharacteristic
1273C22C19×#56011yescharacteristic
1274C22C19×#56011yescharacteristic
1275C22C19×#56211yescharacteristic
1276C22C19×#56211yescharacteristic
1277C4—24no—
1278C4—42no—
1279C4—42no—
1280C4—42no—
1281C4—42no—
1282C4—42no—
1283C4—42no—
1284C4—42no—
1285C4—81no—
1286C4—81no—
1287C4—81no—
1288C4—81no—
1289C2—82no—
1290C2—82no—
1291C2—82no—
1292C2C19×#241811yescharacteristic
1293C2C19×#244511yescharacteristic
1294C2C19×#246111yescharacteristic
1295C2C19×#262411yescharacteristic
1296C2C19×#263511yescharacteristic
1297C2C19×#266111yescharacteristic
1298C2C19×#266911yescharacteristic
1299C2C19×#267111yescharacteristic
1300C2C19×#267311yescharacteristic
1301C2C19×#267611yescharacteristic
1302C2C19×#268511yescharacteristic
1303C2C19×#271011yescharacteristic
1304C2C19×#273011yescharacteristic
1305C2C19×#275211yescharacteristic
1306C2C19×#282911yescharacteristic
subgroupG/H
center, socleC24×C19C24
commutator, Frattini, cosocleC24C24×C19
prime radicalC2×C19×#392C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C19×#399C2semidirect
2. C2×C19×#394C2semidirect
3. C2×C19×#394C2semidirect
5. C2×C19×#390C2semidirect
6. C2×C19×#388C2semidirect
7. C19×#1441C2semidirect
8. C19×#1440C2semidirect
9. C19×#1440C2semidirect
10. C19×#1439C2semidirect
11. C19×#1439C2semidirect
12. C19×#1438C2semidirect
13. C19×#1438C2semidirect
14. C19×#1438C2semidirect
15. C19×#1436C2semidirect
104. C2×C4⋊C4×C19D4semidirect
149. C2×C22⋊C4×C19D4semidirect
336. #16276C19direct (N × H)
544. C2×#399C2×C19semidirect
545. C2×#394C2×C19semidirect
546. C2×#394C2×C19semidirect
548. C2×#390C2×C19semidirect
549. C2×#388C2×C19semidirect
550. #1441C2×C19semidirect
551. #1440C2×C19semidirect
552. #1440C2×C19semidirect
553. #1439C2×C19semidirect
554. #1439C2×C19semidirect
555. #1438C2×C19semidirect
556. #1438C2×C19semidirect
557. #1438C2×C19semidirect
558. #1436C2×C19semidirect
757. C2×C4⋊C4D4×C19semidirect
802. C2×C22⋊C4D4×C19semidirect
818. C19#16276direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C19×#3992
C2×C19×#3942
C2×C19×#3922
C2×C19×#3902
C2×C19×#3882
C19×#14412
C19×#14402
C19×#14392
C19×#14382
C19×#14362
#1627619