Finite Group Databasebeta

← C19×#18262 #18024221

Subgroups — C19×#18262 #18024221

Order 4864.

1012 conjugacy classes of subgroups.

The subgroup lattice has 956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3534C211yesmaximal, characteristic
2C19×#3094C211yesmaximal, characteristic, complemented
3C19×#3091C211yesmaximal, characteristic, complemented
4C19×#2498C211yesmaximal, characteristic, complemented
5C19×#1618C211yesmaximal, characteristic, complemented
6C19×#1616C211yesmaximal, characteristic, complemented
7C19×#1615C211yesmaximal, characteristic, complemented
8C19×#1613C211yesmaximal, characteristic, complemented
9C19×#1612C211yesmaximal, characteristic, complemented
10C19×#1610C211yesmaximal, characteristic, complemented
11C19×#1609C211yesmaximal, characteristic, complemented
12C19×#1607C211yesmaximal, characteristic, complemented
13C19×#1504C211yesmaximal, characteristic, complemented
14C2×C19×#327C211yesmaximal, characteristic, complemented
15C19×#1468C211yesmaximal, characteristic, complemented
16C19×#562—21no—
17C19×#560—21no—
18C19×#553—21no—
19C19×#551—21no—
20C19×#546—21no—
21C19×#546—21no—
22C19×#546—21no—
23D42×C19—21no—
24C19×#540—21no—
25C19×#539—21no—
26C19×#539C2211yescharacteristic
27C19×#538—21no—
28C19×#538C2211yescharacteristic
29C19×#537C2211yescharacteristic
30C19×#534—21no—
31C19×#534C2211yescharacteristic
32C19×#525C2211yescharacteristic
33C2×C19×#123C2211yescharacteristic
34C2×C19×#121C2211yescharacteristic
35C2×C19×#117C2211yescharacteristic, complemented
36C19×#485—21no—
37C19×#484C2211yescharacteristic, complemented
38C19×#483C2211yescharacteristic, complemented
39C19×#482—21no—
40C19×#482—21no—
41C19×#482—21no—
42C19×#481C2211yescharacteristic
43C19×#481C2211yescharacteristic, complemented
44C19×#481C2211yescharacteristic, complemented
45C19×#480C2211yescharacteristic
46C19×#480C2211yescharacteristic, complemented
47C19×#480C2211yescharacteristic, complemented
48C19×#428—21no—
49C19×#427—21no—
50C19×#418—21no—
51C19×#416—21no—
52C19×#407C2211yescharacteristic, complemented
53C2×C19×C22⋊C8C2211yescharacteristic, complemented
54C19×#400C2211yescharacteristic, complemented
55C19×#399C2211yescharacteristic, complemented
56C19×#398C2211yescharacteristic, complemented
57C19×#397C2211yescharacteristic, complemented
58C19×#388—21no—
59C19×#387—21no—
60C19×#386—21no—
61C19×#380—21no—
62C2×C19×#95C2211yescharacteristic, complemented
63C19×#328C2211yescharacteristic, complemented
64C19×#328C2211yescharacteristic, complemented
65C19×#327C2211yescharacteristic
66C19×#327C2211yescharacteristic
67C19×#327C2211yescharacteristic, complemented
68C19×#327C2211yescharacteristic, complemented
69C19×#327C2211yescharacteristic, complemented
70C19×#327C2211yescharacteristic, complemented
71C19×#324C2211yescharacteristic, complemented
72C19×#324C2211yescharacteristic, complemented
73C19×#323C2211yescharacteristic, complemented
74C19×#323C2211yescharacteristic, complemented
75C2×#41×C19—21no—
76C2×#41×C19D411yescharacteristic
77C22×D4×C19—21no—
78C22×D4×C19—21no—
79C22×D4×C19—21no—
80C22×D4×C19D411yescharacteristic
81C22×D4×C19D411yescharacteristic
82C23×C4×C19—21no—
83C23×C4×C19C2311yescharacteristic
84C2×M16×C19—21no—
85C22×C8×C19—21no—
86C19×#127—21no—
87C19×#126—21no—
88C19×#126—21no—
89C19×#126—21no—
90C19×#126—21no—
91C19×#125—21no—
92C19×#125—21no—
93C19×#124—21no—
94C19×#124—21no—
95C19×#124—21no—
96C19×#123—21no—
97C19×#123—21no—
98C19×#123—21no—
99C19×#123—21no—
100C19×#123—21no—
101C19×#123—21no—
102C19×#123—21no—
103C19×#123—21no—
104C19×#123—21no—
105C19×#123—21no—
106C19×#123—21no—
107C19×#123—21no—
108C19×#123—21no—
109C19×#123—21no—
110C19×C22⋊Q8—21no—
111C19×C22⋊Q8—21no—
112C19×C22⋊Q8—21no—
113C19×C22⋊Q8—21no—
114C19×C22⋊Q8—21no—
115C19×C22⋊Q8D411yescharacteristic
116C19×C22⋊Q8C2311yescharacteristic
117C19×#121—21no—
118C19×#121—21no—
119C19×#121—21no—
120C19×#121—21no—
121C19×#121—21no—
122C19×#121—21no—
123C19×#121—21no—
124C19×#121—21no—
125C19×#121—21no—
126C19×#121—21no—
127C19×#121—21no—
128C19×#121—21no—
129C19×#121—21no—
130C19×#121—21no—
131C19×#121—21no—
132C19×#121D411yescharacteristic
133C19×#121D411yescharacteristic
134C19×#121D411yescharacteristic
135C19×#121C2311yescharacteristic
136C19×#121C2311yescharacteristic
137C19×#121C2311yescharacteristic
138C19×#120—21no—
139C19×#120—21no—
140C19×#120—21no—
141C19×#120—21no—
142C19×#120—21no—
143C19×#120—21no—
144C19×#120—21no—
145C19×#120—21no—
146C4×D4×C19—21no—
147C4×D4×C19—21no—
148C4×D4×C19—21no—
149C4×D4×C19—21no—
150C4×D4×C19—21no—
151C4×D4×C19—21no—
152C4×D4×C19—21no—
153C4×D4×C19—21no—
154C19×#117—21no—
155C19×#117—21no—
156C19×#117—21no—
157C19×#117—21no—
158C19×#117—21no—
159C19×#117D411yescharacteristic
160C2×C4⋊C4×C19—21no—
161C2×C4⋊C4×C19—21no—
162C2×C4⋊C4×C19D411yescharacteristic
163C2×C4⋊C4×C19D411yescharacteristic
164C2×C4⋊C4×C19C2311yescharacteristic
165C2×C4⋊C4×C19C2311yescharacteristic
166C2×C4⋊C4×C19C2311yescharacteristic
167C2×C22⋊C4×C19—21no—
168C2×C22⋊C4×C19—21no—
169C2×C22⋊C4×C19—21no—
170C2×C22⋊C4×C19—21no—
171C2×C22⋊C4×C19—21no—
172C2×C22⋊C4×C19—21no—
173C2×C22⋊C4×C19D411yescharacteristic
174C2×C22⋊C4×C19D411yescharacteristic
175C2×C22⋊C4×C19C2311yescharacteristic
176C2×C42×C19—21no—
177C19×#107—21no—
178C19×#107—21no—
179C19×#107—21no—
180C19×#107—21no—
181C19×#106—21no—
182C19×#106—21no—
183C19×#106—21no—
184C19×#106—21no—
185C19×#103—21no—
186C19×#103—21no—
187C19×#102—21no—
188C19×#102—21no—
189C19×#102—21no—
190C19×#102—21no—
191C19×#102—21no—
192C19×#102—21no—
193C19×C22⋊C8—21no—
194C19×C22⋊C8—21no—
195C19×C22⋊C8C2311yescharacteristic
196C19×C22⋊C8C2311yescharacteristic
197C19×C22⋊C8C2311yescharacteristic
198C19×C22⋊C8C2311yescharacteristic
199C19×#95—21no—
200C19×#95—21no—
201C19×#95—21no—
202C19×#95—21no—
203C19×#95—21no—
204C19×#95C2311yescharacteristic
205C19×#95C2311yescharacteristic
206C24×C19—21no—
207C24×C19—21no—
208C24×C19C2×D411yescharacteristic
209C24×C19C2×D411yescharacteristic
210#41×C19—42no—
211#41×C19—81no—
212#41×C19—81no—
213C2×Q8×C19—21no—
214C2×Q8×C19C2×D411yescharacteristic
215C2×D4×C19—21no—
216C2×D4×C19—21no—
217C2×D4×C19—21no—
218C2×D4×C19—21no—
219C2×D4×C19—21no—
220C2×D4×C19—21no—
221C2×D4×C19—21no—
222C2×D4×C19—21no—
223C2×D4×C19—21no—
224C2×D4×C19—21no—
225C2×D4×C19—21no—
226C2×D4×C19—21no—
227C2×D4×C19—21no—
228C2×D4×C19—21no—
229C2×D4×C19—21no—
230C2×D4×C19—21no—
231C2×D4×C19—21no—
232C2×D4×C19—42no—
233C2×D4×C19—42no—
234C2×D4×C19—81no—
235C2×D4×C19—81no—
236C2×D4×C19—81no—
237C2×D4×C19—81no—
238C2×D4×C19—82no—
239C2×D4×C19C2×D411yescharacteristic
240C2×D4×C19C2×D411yescharacteristic
241C2×D4×C19C2×D411yescharacteristic
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—42no—
254C22×C4×C19—42no—
255C22×C4×C19—42no—
256C22×C4×C19—81no—
257C22×C4×C19C2×D411yescharacteristic
258C22×C4×C19C2×D411yescharacteristic
259C22×C4×C19C2×D411yescharacteristic
260C22×C4×C19C2×D411yescharacteristic
261C22×C4×C19C2×D411yescharacteristic
262C22×C4×C19C2×D411yescharacteristic
263C22×C4×C19C2×D411yescharacteristic
264C22×C4×C19C2×D411yescharacteristic
265C22×C4×C19C2411yescharacteristic
266M16×C19—42no—
267C2×C8×C19—21no—
268C2×C8×C19—21no—
269C2×C8×C19—21no—
270C2×C8×C19—21no—
271C2×C8×C19—42no—
272C4⋊C4×C19—21no—
273C4⋊C4×C19—21no—
274C4⋊C4×C19—21no—
275C4⋊C4×C19—21no—
276C4⋊C4×C19—21no—
277C4⋊C4×C19—21no—
278C4⋊C4×C19—21no—
279C4⋊C4×C19—21no—
280C4⋊C4×C19—21no—
281C4⋊C4×C19—21no—
282C4⋊C4×C19—21no—
283C4⋊C4×C19—21no—
284C4⋊C4×C19—21no—
285C4⋊C4×C19—21no—
286C4⋊C4×C19—21no—
287C4⋊C4×C19—21no—
288C4⋊C4×C19—21no—
289C4⋊C4×C19—42no—
290C4⋊C4×C19—81no—
291C4⋊C4×C19C2×D411yescharacteristic
292C4⋊C4×C19C2×D411yescharacteristic
293C4⋊C4×C19C2×D411yescharacteristic
294C4⋊C4×C19C2×D411yescharacteristic
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×C19—21no—
307C22⋊C4×C19—21no—
308C22⋊C4×C19—21no—
309C22⋊C4×C19—21no—
310C22⋊C4×C19—21no—
311C22⋊C4×C19—21no—
312C22⋊C4×C19—21no—
313C22⋊C4×C19—21no—
314C22⋊C4×C19—21no—
315C22⋊C4×C19—21no—
316C22⋊C4×C19—21no—
317C22⋊C4×C19—21no—
318C22⋊C4×C19—21no—
319C22⋊C4×C19—21no—
320C22⋊C4×C19—42no—
321C22⋊C4×C19—41no—
322C22⋊C4×C19—41no—
323C22⋊C4×C19—81no—
324C42×C19—21no—
325C42×C19—21no—
326C42×C19—21no—
327C42×C19—41no—
328C42×C19—41no—
329#18262C1911yesmaximal, characteristic, direct product factor, Sylow
330C23×C19—21no—
331C23×C19—21no—
332C23×C19—22no—
333C23×C19—21no—
334C23×C19—21no—
335C23×C19—21no—
336C23×C19—21no—
337C23×C19—21no—
338C23×C19—21no—
339C23×C19—41no—
340C23×C19—41no—
341C23×C19—41no—
342C23×C19—42no—
343C23×C19—81no—
344C23×C19—81no—
345C23×C19—81no—
346C23×C19—81no—
347C23×C19—81no—
348C23×C19#12011yescharacteristic
349C23×C19#12011yescharacteristic
350C23×C19C22×D411yescharacteristic
351Q8×C19—41no—
352Q8×C19—81no—
353D4×C19—41no—
354D4×C19—41no—
355D4×C19—41no—
356D4×C19—41no—
357D4×C19—41no—
358D4×C19—41no—
359D4×C19—41no—
360D4×C19—41no—
361D4×C19—41no—
362D4×C19—42no—
363D4×C19—42no—
364D4×C19—81no—
365D4×C19—81no—
366D4×C19—81no—
367D4×C19—81no—
368D4×C19—81no—
369D4×C19—81no—
370D4×C19—81no—
371D4×C19—81no—
372D4×C19—81no—
373D4×C19—81no—
374D4×C19—81no—
375D4×C19—81no—
376C2×C4×C19—22no—
377C2×C4×C19—22no—
378C2×C4×C19—22no—
379C2×C4×C19—21no—
380C2×C4×C19—21no—
381C2×C4×C19—21no—
382C2×C4×C19—21no—
383C2×C4×C19—21no—
384C2×C4×C19—21no—
385C2×C4×C19—21no—
386C2×C4×C19—21no—
387C2×C4×C19—21no—
388C2×C4×C19—21no—
389C2×C4×C19—41no—
390C2×C4×C19—41no—
391C2×C4×C19—41no—
392C2×C4×C19—41no—
393C2×C4×C19—41no—
394C2×C4×C19—41no—
395C2×C4×C19—41no—
396C2×C4×C19—41no—
397C2×C4×C19—41no—
398C2×C4×C19—41no—
399C2×C4×C19—41no—
400C2×C4×C19—41no—
401C2×C4×C19—41no—
402C2×C4×C19—41no—
403C2×C4×C19—41no—
404C2×C4×C19—41no—
405C2×C4×C19—41no—
406C2×C4×C19—81no—
407C2×C4×C19—81no—
408C2×C4×C19—81no—
409C2×C4×C19—81no—
410C2×C4×C19—81no—
411C2×C4×C19—81no—
412C2×C4×C19—81no—
413C2×C4×C19—84no—
414C2×C4×C19#12011yescharacteristic
415C2×C4×C19#12011yescharacteristic
416C2×C4×C19C22×D411yescharacteristic
417C2×C4×C19C22×D411yescharacteristic
418C8×C19—41no—
419C8×C19—41no—
420C8×C19—41no—
421C8×C19—41no—
422#3534C2×C1911yescharacteristic
423#3094C2×C1911yescharacteristic, complemented
424#3091C2×C1911yescharacteristic, complemented
425#2498C2×C1911yescharacteristic, complemented
426#1618C2×C1911yescharacteristic, complemented
427#1616C2×C1911yescharacteristic, complemented
428#1615C2×C1911yescharacteristic, complemented
429#1613C2×C1911yescharacteristic, complemented
430#1612C2×C1911yescharacteristic, complemented
431#1610C2×C1911yescharacteristic, complemented
432#1609C2×C1911yescharacteristic, complemented
433#1607C2×C1911yescharacteristic, complemented
434#1504C2×C1911yescharacteristic, complemented
435C2×#327C2×C1911yescharacteristic, complemented
436#1468C2×C1911yescharacteristic, complemented
437C22×C19—21no—
438C22×C19—21no—
439C22×C19—21no—
440C22×C19—21no—
441C22×C19—21no—
442C22×C19—21no—
443C22×C19—21no—
444C22×C19—42no—
445C22×C19—42no—
446C22×C19—41no—
447C22×C19—41no—
448C22×C19—41no—
449C22×C19—41no—
450C22×C19—41no—
451C22×C19—41no—
452C22×C19—41no—
453C22×C19—41no—
454C22×C19—41no—
455C22×C19—41no—
456C22×C19—41no—
457C22×C19—41no—
458C22×C19—81no—
459C22×C19—81no—
460C22×C19—162no—
461C22×C19—162no—
462C22×C19#45812yes—
463C22×C19C2×#12011yescharacteristic
464C22×C19#57611yescharacteristic
465C22×C19#57711yescharacteristic
466C4×C19—21no—
467C4×C19—21no—
468C4×C19—21no—
469C4×C19—21no—
470C4×C19—42no—
471C4×C19—41no—
472C4×C19—41no—
473C4×C19—41no—
474C4×C19—41no—
475C4×C19—41no—
476C4×C19—41no—
477C4×C19—41no—
478C4×C19—41no—
479C4×C19—81no—
480C4×C19—81no—
481C4×C19—81no—
482#562—21no—
483#560—21no—
484#553—21no—
485#551—21no—
486#546—21no—
487#546—21no—
488#546—21no—
489D42—21no—
490#540—21no—
491#539—21no—
492#539C22×C1911yescharacteristic
493#538—21no—
494#538C22×C1911yescharacteristic
495#537C22×C1911yescharacteristic
496#534—21no—
497#534C22×C1911yescharacteristic
498#525C22×C1911yescharacteristic
499C2×#123C22×C1911yescharacteristic
500C2×#121C22×C1911yescharacteristic
501C2×#117C22×C1911yescharacteristic, complemented
502#485—21no—
503#484C22×C1911yescharacteristic, complemented
504#483C22×C1911yescharacteristic, complemented
505#482—21no—
506#482—21no—
507#482—21no—
508#481C22×C1911yescharacteristic
509#481C22×C1911yescharacteristic, complemented
510#481C22×C1911yescharacteristic, complemented
511#480C22×C1911yescharacteristic
512#480C22×C1911yescharacteristic, complemented
513#480C22×C1911yescharacteristic, complemented
514#428—21no—
515#427—21no—
516#418—21no—
517#416—21no—
518#407C22×C1911yescharacteristic, complemented
519C2×C22⋊C8C22×C1911yescharacteristic, complemented
520#400C22×C1911yescharacteristic, complemented
521#399C22×C1911yescharacteristic, complemented
522#398C22×C1911yescharacteristic, complemented
523#397C22×C1911yescharacteristic, complemented
524#388—21no—
525#387—21no—
526#386—21no—
527#380—21no—
528C2×#95C22×C1911yescharacteristic, complemented
529#328C22×C1911yescharacteristic, complemented
530#328C22×C1911yescharacteristic, complemented
531#327C22×C1911yescharacteristic
532#327C22×C1911yescharacteristic
533#327C22×C1911yescharacteristic, complemented
534#327C22×C1911yescharacteristic, complemented
535#327C22×C1911yescharacteristic, complemented
536#327C22×C1911yescharacteristic, complemented
537#324C22×C1911yescharacteristic, complemented
538#324C22×C1911yescharacteristic, complemented
539#323C22×C1911yescharacteristic, complemented
540#323C22×C1911yescharacteristic, complemented
541C2×C19—21no—
542C2×C19—21no—
543C2×C19—22no—
544C2×C19—41no—
545C2×C19—81no—
546C2×C19—81no—
547C2×C19—81no—
548C2×C19—81no—
549C2×C19#301211yescharacteristic
550C2×C19#301811yescharacteristic
551C2×C19C2×#45811yescharacteristic
552C2×#41—21no—
553C2×#41D4×C1911yescharacteristic
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4D4×C1911yescharacteristic
558C22×D4D4×C1911yescharacteristic
559C23×C4—21no—
560C23×C4C23×C1911yescharacteristic
561C2×M16—21no—
562C22×C8—21no—
563#127—21no—
564#126—21no—
565#126—21no—
566#126—21no—
567#126—21no—
568#125—21no—
569#125—21no—
570#124—21no—
571#124—21no—
572#124—21no—
573#123—21no—
574#123—21no—
575#123—21no—
576#123—21no—
577#123—21no—
578#123—21no—
579#123—21no—
580#123—21no—
581#123—21no—
582#123—21no—
583#123—21no—
584#123—21no—
585#123—21no—
586#123—21no—
587C22⋊Q8—21no—
588C22⋊Q8—21no—
589C22⋊Q8—21no—
590C22⋊Q8—21no—
591C22⋊Q8—21no—
592C22⋊Q8D4×C1911yescharacteristic
593C22⋊Q8C23×C1911yescharacteristic
594#121—21no—
595#121—21no—
596#121—21no—
597#121—21no—
598#121—21no—
599#121—21no—
600#121—21no—
601#121—21no—
602#121—21no—
603#121—21no—
604#121—21no—
605#121—21no—
606#121—21no—
607#121—21no—
608#121—21no—
609#121D4×C1911yescharacteristic
610#121D4×C1911yescharacteristic
611#121D4×C1911yescharacteristic
612#121C23×C1911yescharacteristic
613#121C23×C1911yescharacteristic
614#121C23×C1911yescharacteristic
615#120—21no—
616#120—21no—
617#120—21no—
618#120—21no—
619#120—21no—
620#120—21no—
621#120—21no—
622#120—21no—
623C4×D4—21no—
624C4×D4—21no—
625C4×D4—21no—
626C4×D4—21no—
627C4×D4—21no—
628C4×D4—21no—
629C4×D4—21no—
630C4×D4—21no—
631#117—21no—
632#117—21no—
633#117—21no—
634#117—21no—
635#117—21no—
636#117D4×C1911yescharacteristic
637C2×C4⋊C4—21no—
638C2×C4⋊C4—21no—
639C2×C4⋊C4D4×C1911yescharacteristic
640C2×C4⋊C4D4×C1911yescharacteristic
641C2×C4⋊C4C23×C1911yescharacteristic
642C2×C4⋊C4C23×C1911yescharacteristic
643C2×C4⋊C4C23×C1911yescharacteristic
644C2×C22⋊C4—21no—
645C2×C22⋊C4—21no—
646C2×C22⋊C4—21no—
647C2×C22⋊C4—21no—
648C2×C22⋊C4—21no—
649C2×C22⋊C4—21no—
650C2×C22⋊C4D4×C1911yescharacteristic
651C2×C22⋊C4D4×C1911yescharacteristic
652C2×C22⋊C4C23×C1911yescharacteristic
653C2×C42—21no—
654#107—21no—
655#107—21no—
656#107—21no—
657#107—21no—
658#106—21no—
659#106—21no—
660#106—21no—
661#106—21no—
662#103—21no—
663#103—21no—
664#102—21no—
665#102—21no—
666#102—21no—
667#102—21no—
668#102—21no—
669#102—21no—
670C22⋊C8—21no—
671C22⋊C8—21no—
672C22⋊C8C23×C1911yescharacteristic
673C22⋊C8C23×C1911yescharacteristic
674C22⋊C8C23×C1911yescharacteristic
675C22⋊C8C23×C1911yescharacteristic
676#95—21no—
677#95—21no—
678#95—21no—
679#95—21no—
680#95—21no—
681#95C23×C1911yescharacteristic
682#95C23×C1911yescharacteristic
683C19#1826211yescharacteristic, direct product factor, Sylow
684C24—21no—
685C24—21no—
686C24C2×D4×C1911yescharacteristic
687C24C2×D4×C1911yescharacteristic
688#41—42no—
689#41—81no—
690#41—81no—
691C2×Q8—21no—
692C2×Q8C2×D4×C1911yescharacteristic
693C2×D4—21no—
694C2×D4—21no—
695C2×D4—21no—
696C2×D4—21no—
697C2×D4—21no—
698C2×D4—21no—
699C2×D4—21no—
700C2×D4—21no—
701C2×D4—21no—
702C2×D4—21no—
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—21no—
709C2×D4—21no—
710C2×D4—42no—
711C2×D4—42no—
712C2×D4—81no—
713C2×D4—81no—
714C2×D4—81no—
715C2×D4—81no—
716C2×D4—82no—
717C2×D4C2×D4×C1911yescharacteristic
718C2×D4C2×D4×C1911yescharacteristic
719C2×D4C2×D4×C1911yescharacteristic
720C22×C4—21no—
721C22×C4—21no—
722C22×C4—21no—
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—21no—
726C22×C4—21no—
727C22×C4—21no—
728C22×C4—21no—
729C22×C4—21no—
730C22×C4—21no—
731C22×C4—42no—
732C22×C4—42no—
733C22×C4—42no—
734C22×C4—81no—
735C22×C4C2×D4×C1911yescharacteristic
736C22×C4C2×D4×C1911yescharacteristic
737C22×C4C2×D4×C1911yescharacteristic
738C22×C4C2×D4×C1911yescharacteristic
739C22×C4C2×D4×C1911yescharacteristic
740C22×C4C2×D4×C1911yescharacteristic
741C22×C4C2×D4×C1911yescharacteristic
742C22×C4C2×D4×C1911yescharacteristic
743C22×C4C24×C1911yescharacteristic
744M16—42no—
745C2×C8—21no—
746C2×C8—21no—
747C2×C8—21no—
748C2×C8—21no—
749C2×C8—42no—
750C4⋊C4—21no—
751C4⋊C4—21no—
752C4⋊C4—21no—
753C4⋊C4—21no—
754C4⋊C4—21no—
755C4⋊C4—21no—
756C4⋊C4—21no—
757C4⋊C4—21no—
758C4⋊C4—21no—
759C4⋊C4—21no—
760C4⋊C4—21no—
761C4⋊C4—21no—
762C4⋊C4—21no—
763C4⋊C4—21no—
764C4⋊C4—21no—
765C4⋊C4—21no—
766C4⋊C4—21no—
767C4⋊C4—42no—
768C4⋊C4—81no—
769C4⋊C4C2×D4×C1911yescharacteristic
770C4⋊C4C2×D4×C1911yescharacteristic
771C4⋊C4C2×D4×C1911yescharacteristic
772C4⋊C4C2×D4×C1911yescharacteristic
773C22⋊C4—21no—
774C22⋊C4—21no—
775C22⋊C4—21no—
776C22⋊C4—21no—
777C22⋊C4—21no—
778C22⋊C4—21no—
779C22⋊C4—21no—
780C22⋊C4—21no—
781C22⋊C4—21no—
782C22⋊C4—21no—
783C22⋊C4—21no—
784C22⋊C4—21no—
785C22⋊C4—21no—
786C22⋊C4—21no—
787C22⋊C4—21no—
788C22⋊C4—21no—
789C22⋊C4—21no—
790C22⋊C4—21no—
791C22⋊C4—21no—
792C22⋊C4—21no—
793C22⋊C4—21no—
794C22⋊C4—21no—
795C22⋊C4—21no—
796C22⋊C4—21no—
797C22⋊C4—21no—
798C22⋊C4—42no—
799C22⋊C4—41no—
800C22⋊C4—41no—
801C22⋊C4—81no—
802C42—21no—
803C42—21no—
804C42—21no—
805C42—41no—
806C42—41no—
807C23—22no—
808C23—21no—
809C23—21no—
810C23—21no—
811C23—21no—
812C23—21no—
813C23—21no—
814C23—21no—
815C23—21no—
816C23—41no—
817C23—41no—
818C23—41no—
819C23—42no—
820C23—81no—
821C23—81no—
822C23—81no—
823C23—81no—
824C23—81no—
825C23C19×#12011yescharacteristic
826C23C19×#12011yescharacteristic
827C23C22×D4×C1911yescharacteristic
828Q8—41no—
829Q8—81no—
830D4—41no—
831D4—41no—
832D4—41no—
833D4—42no—
834D4—42no—
835D4—41no—
836D4—41no—
837D4—41no—
838D4—41no—
839D4—41no—
840D4—41no—
841D4—81no—
842D4—81no—
843D4—81no—
844D4—81no—
845D4—81no—
846D4—81no—
847D4—81no—
848D4—81no—
849D4—81no—
850D4—81no—
851D4—81no—
852D4—81no—
853C2×C4—22no—
854C2×C4—22no—
855C2×C4—22no—
856C2×C4—21no—
857C2×C4—21no—
858C2×C4—21no—
859C2×C4—21no—
860C2×C4—21no—
861C2×C4—21no—
862C2×C4—21no—
863C2×C4—21no—
864C2×C4—21no—
865C2×C4—21no—
866C2×C4—41no—
867C2×C4—41no—
868C2×C4—41no—
869C2×C4—41no—
870C2×C4—41no—
871C2×C4—41no—
872C2×C4—41no—
873C2×C4—41no—
874C2×C4—41no—
875C2×C4—41no—
876C2×C4—41no—
877C2×C4—41no—
878C2×C4—41no—
879C2×C4—41no—
880C2×C4—41no—
881C2×C4—41no—
882C2×C4—41no—
883C2×C4—81no—
884C2×C4—81no—
885C2×C4—81no—
886C2×C4—81no—
887C2×C4—81no—
888C2×C4—81no—
889C2×C4—81no—
890C2×C4—84no—
891C2×C4C19×#12011yescharacteristic
892C2×C4C19×#12011yescharacteristic
893C2×C4C22×D4×C1911yescharacteristic
894C2×C4C22×D4×C1911yescharacteristic
895C8—41no—
896C8—41no—
897C8—41no—
898C8—41no—
899C22—21no—
900C22—21no—
901C22—21no—
902C22—21no—
903C22—21no—
904C22—21no—
905C22—21no—
906C22—42no—
907C22—42no—
908C22—41no—
909C22—41no—
910C22—41no—
911C22—41no—
912C22—41no—
913C22—41no—
914C22—41no—
915C22—41no—
916C22—41no—
917C22—41no—
918C22—41no—
919C22—41no—
920C22—81no—
921C22—81no—
922C22—162no—
923C22—162no—
924C22C19×#45812yes—
925C22C2×C19×#12011yescharacteristic
926C22C19×#57611yescharacteristic
927C22C19×#57711yescharacteristic
928C4—21no—
929C4—21no—
930C4—21no—
931C4—21no—
932C4—42no—
933C4—41no—
934C4—41no—
935C4—41no—
936C4—41no—
937C4—41no—
938C4—41no—
939C4—41no—
940C4—41no—
941C4—81no—
942C4—81no—
943C4—81no—
944C2—21no—
945C2—21no—
946C2—22no—
947C2—41no—
948C2—81no—
949C2—81no—
950C2—81no—
951C2—81no—
952C2C19×#301211yescharacteristic
953C2C19×#301811yescharacteristic
954C2C2×C19×#45811yescharacteristic
subgroupG/H
center, socleC22×C19C2×#120
commutator, Frattini, cosocleC22×C4C24×C19
prime radicalC19×#3534C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C19 ◁ C23×C4×C19 ◁ G

Complements

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

NH ≅ G/Ntype
2. C19×#3094C2semidirect
3. C19×#3091C2semidirect
4. C19×#2498C2semidirect
5. C19×#1618C2semidirect
6. C19×#1616C2semidirect
7. C19×#1615C2semidirect
8. C19×#1613C2semidirect
9. C19×#1612C2semidirect
10. C19×#1610C2semidirect
11. C19×#1609C2semidirect
12. C19×#1607C2semidirect
13. C19×#1504C2semidirect
14. C2×C19×#327C2semidirect
15. C19×#1468C2semidirect
35. C2×C19×#117C22semidirect
37. C19×#484C22semidirect
38. C19×#483C22semidirect
43. C19×#481C22semidirect
44. C19×#481C22semidirect
46. C19×#480C22semidirect
47. C19×#480C22semidirect
52. C19×#407C22semidirect
53. C2×C19×C22⋊C8C22semidirect
54. C19×#400C22semidirect
55. C19×#399C22semidirect
56. C19×#398C22semidirect
57. C19×#397C22semidirect
62. C2×C19×#95C22semidirect
63. C19×#328C22semidirect
64. C19×#328C22semidirect
67. C19×#327C22semidirect
68. C19×#327C22semidirect
69. C19×#327C22semidirect
70. C19×#327C22semidirect
71. C19×#324C22semidirect
72. C19×#324C22semidirect
73. C19×#323C22semidirect
74. C19×#323C22semidirect
329. #18262C19direct (N × H)
423. #3094C2×C19semidirect
424. #3091C2×C19semidirect
425. #2498C2×C19semidirect
426. #1618C2×C19semidirect
427. #1616C2×C19semidirect
428. #1615C2×C19semidirect
429. #1613C2×C19semidirect
430. #1612C2×C19semidirect
431. #1610C2×C19semidirect
432. #1609C2×C19semidirect
433. #1607C2×C19semidirect
434. #1504C2×C19semidirect
435. C2×#327C2×C19semidirect
436. #1468C2×C19semidirect
501. C2×#117C22×C19semidirect
503. #484C22×C19semidirect
504. #483C22×C19semidirect
509. #481C22×C19semidirect
510. #481C22×C19semidirect
512. #480C22×C19semidirect
513. #480C22×C19semidirect
518. #407C22×C19semidirect
519. C2×C22⋊C8C22×C19semidirect
520. #400C22×C19semidirect
521. #399C22×C19semidirect
522. #398C22×C19semidirect
523. #397C22×C19semidirect
528. C2×#95C22×C19semidirect
529. #328C22×C19semidirect
530. #328C22×C19semidirect
533. #327C22×C19semidirect
534. #327C22×C19semidirect
535. #327C22×C19semidirect
536. #327C22×C19semidirect
537. #324C22×C19semidirect
538. #324C22×C19semidirect
539. #323C22×C19semidirect
540. #323C22×C19semidirect
683. C19#18262direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35342
C19×#30942
C19×#30912
C19×#24982
C19×#16182
C19×#16162
C19×#16152
C19×#16132
C19×#16122
C19×#16102
C19×#16092
C19×#16072
C19×#15042
C2×C19×#3272
C19×#14682
#1826219