Finite Group Databasebeta

← C19×#18415 #18024374

Subgroups — C19×#18415 #18024374

Order 4864.

992 conjugacy classes of subgroups.

The subgroup lattice has 970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3534C211yesmaximal, characteristic
2C19×#3196C211yesmaximal, characteristic, complemented
3C19×#3187C211yesmaximal, characteristic, complemented
4C19×#2663C211yesmaximal, characteristic, complemented
5C19×#1618C211yesmaximal, characteristic, complemented
6C19×#1616C211yesmaximal, characteristic, complemented
7C19×#1615C211yesmaximal, characteristic, complemented
8C19×#1613C211yesmaximal, characteristic, complemented
9C19×#1606C211yesmaximal, characteristic, complemented
10C19×#1604C211yesmaximal, characteristic, complemented
11C19×#1603C211yesmaximal, characteristic, complemented
12C19×#1601C211yesmaximal, characteristic, complemented
13C19×#1507C211yesmaximal, characteristic, complemented
14C19×#1501C211yesmaximal, 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×C22⋊Q8C2211yescharacteristic, complemented
35C2×C19×#121C2211yescharacteristic
36C19×#485—21no—
37C19×#484C2211yescharacteristic, complemented
38C19×#483—21no—
39C19×#481C2211yescharacteristic
40C19×#481C2211yescharacteristic, complemented
41C19×#481C2211yescharacteristic, complemented
42C19×#470—21no—
43C19×#468—21no—
44C19×#465—21no—
45C19×#465—21no—
46C19×#452—21no—
47C19×#451C2211yescharacteristic, complemented
48C19×#450—21no—
49C19×#448C2211yescharacteristic
50C19×#448C2211yescharacteristic, complemented
51C19×#448C2211yescharacteristic, complemented
52C19×#407C2211yescharacteristic, complemented
53C2×C19×C22⋊C8C2211yescharacteristic, complemented
54C19×#400C2211yescharacteristic, complemented
55C19×#399C2211yescharacteristic, complemented
56C19×#397—21no—
57C19×#395C2211yescharacteristic, complemented
58C19×#394—21no—
59C19×#393C2211yescharacteristic, complemented
60C19×#389—21no—
61C19×#388—21no—
62C4×C22⋊C4×C19C2211yescharacteristic, 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×Q8×C19C2311yescharacteristic
78C22×D4×C19—21no—
79C22×D4×C19—21no—
80C22×D4×C19—21no—
81C22×D4×C19D411yescharacteristic
82C22×D4×C19D411yescharacteristic
83C23×C4×C19C2311yescharacteristic
84C2×Q16×C19—21no—
85C2×SD16×C19—21no—
86C2×SD16×C19—21no—
87C2×SD16×C19—21no—
88C2×M16×C19—21no—
89C22×C8×C19—21no—
90C19×#127—21no—
91C19×#126—21no—
92C19×#126—21no—
93C19×#126—21no—
94C19×#126—21no—
95C19×#125—21no—
96C19×#125—21no—
97C19×#124—21no—
98C19×#124—21no—
99C19×#124—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×#123—21no—
111C19×#123—21no—
112C19×#123—21no—
113C19×#123—21no—
114C19×C22⋊Q8—21no—
115C19×C22⋊Q8—21no—
116C19×C22⋊Q8—21no—
117C19×C22⋊Q8—21no—
118C19×C22⋊Q8—21no—
119C19×C22⋊Q8—21no—
120C19×C22⋊Q8—21no—
121C19×C22⋊Q8—21no—
122C19×C22⋊Q8—21no—
123C19×C22⋊Q8D411yescharacteristic
124C19×C22⋊Q8C2311yescharacteristic
125C19×#121—21no—
126C19×#121—21no—
127C19×#121—21no—
128C19×#121—21no—
129C19×#121—21no—
130C19×#121—21no—
131C19×#121—21no—
132C19×#121—21no—
133C19×#121—21no—
134C19×#121—21no—
135C19×#121—21no—
136C19×#121—21no—
137C19×#121—21no—
138C19×#121—21no—
139C19×#121—21no—
140C19×#121D411yescharacteristic
141C19×#121D411yescharacteristic
142C19×#121D411yescharacteristic
143C19×#121C2311yescharacteristic
144C19×#121C2311yescharacteristic
145C19×#121C2311yescharacteristic
146C19×#120—21no—
147C19×#120—21no—
148C19×#120—21no—
149C19×#120—21no—
150C19×#120—21no—
151C19×#120—21no—
152C19×#120—21no—
153C19×#120—21no—
154C4×D4×C19—21no—
155C4×D4×C19—21no—
156C4×D4×C19—21no—
157C4×D4×C19—21no—
158C4×D4×C19—21no—
159C4×D4×C19—21no—
160C4×D4×C19—21no—
161C4×D4×C19—21no—
162C19×#117—21no—
163C19×#117D411yescharacteristic
164C2×C4⋊C4×C19—21no—
165C2×C4⋊C4×C19—21no—
166C2×C4⋊C4×C19—21no—
167C2×C4⋊C4×C19D411yescharacteristic
168C2×C4⋊C4×C19D411yescharacteristic
169C2×C4⋊C4×C19C2311yescharacteristic
170C2×C4⋊C4×C19C2311yescharacteristic
171C2×C22⋊C4×C19—21no—
172C2×C22⋊C4×C19—21no—
173C2×C22⋊C4×C19—21no—
174C2×C22⋊C4×C19—21no—
175C2×C22⋊C4×C19—21no—
176C2×C22⋊C4×C19—21no—
177C2×C22⋊C4×C19—21no—
178C2×C22⋊C4×C19D411yescharacteristic
179C2×C22⋊C4×C19D411yescharacteristic
180C2×C22⋊C4×C19C2311yescharacteristic
181C2×C42×C19—21no—
182C19×#107—21no—
183C19×#106—21no—
184C19×#106—21no—
185C19×#106—21no—
186C19×#103—21no—
187C19×#103—21no—
188C19×#103—21no—
189C19×#103—21no—
190C19×#103—21no—
191C19×#102—21no—
192C19×#102—21no—
193C19×#102—21no—
194C19×C22⋊C8—21no—
195C19×C22⋊C8—21no—
196C19×C22⋊C8C2311yescharacteristic
197C19×C22⋊C8C2311yescharacteristic
198C19×C22⋊C8C2311yescharacteristic
199C19×C22⋊C8C2311yescharacteristic
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—81no—
211#41×C19—81no—
212#41×C19—81no—
213C2×Q8×C19—21no—
214C2×Q8×C19—21no—
215C2×Q8×C19—21no—
216C2×Q8×C19—81no—
217C2×Q8×C19C2×D411yescharacteristic
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—21no—
233C2×D4×C19—21no—
234C2×D4×C19—21no—
235C2×D4×C19—81no—
236C2×D4×C19—81no—
237C2×D4×C19—81no—
238C2×D4×C19—81no—
239C2×D4×C19—81no—
240C2×D4×C19—81no—
241C2×D4×C19—82no—
242C2×D4×C19C2×D411yescharacteristic
243C2×D4×C19C2×D411yescharacteristic
244C2×D4×C19C2×D411yescharacteristic
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—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
266Q16×C19—81no—
267SD16×C19—81no—
268SD16×C19—81no—
269SD16×C19—81no—
270M16×C19—81no—
271C2×C8×C19—21no—
272C2×C8×C19—21no—
273C2×C8×C19—21no—
274C2×C8×C19—21no—
275C2×C8×C19—81no—
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—21no—
290C4⋊C4×C19—21no—
291C4⋊C4×C19—42no—
292C4⋊C4×C19—41no—
293C4⋊C4×C19—41no—
294C4⋊C4×C19—81no—
295C4⋊C4×C19C2×D411yescharacteristic
296C4⋊C4×C19C2×D411yescharacteristic
297C4⋊C4×C19C2×D411yescharacteristic
298C4⋊C4×C19C2×D411yescharacteristic
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—21no—
321C22⋊C4×C19—21no—
322C22⋊C4×C19—21no—
323C22⋊C4×C19—21no—
324C22⋊C4×C19—42no—
325C22⋊C4×C19—42no—
326C22⋊C4×C19—41no—
327C22⋊C4×C19—41no—
328C22⋊C4×C19—81no—
329C42×C19—21no—
330C42×C19—21no—
331C42×C19—21no—
332C42×C19—81no—
333#18415C1911yesmaximal, characteristic, direct product factor, Sylow
334C23×C19—21no—
335C23×C19—21no—
336C23×C19—21no—
337C23×C19—21no—
338C23×C19—21no—
339C23×C19—21no—
340C23×C19—21no—
341C23×C19—21no—
342C23×C19—41no—
343C23×C19—41no—
344C23×C19—42no—
345C23×C19—41no—
346C23×C19—41no—
347C23×C19—81no—
348C23×C19—81no—
349C23×C19—81no—
350C23×C19—81no—
351C23×C19—81no—
352C23×C19#12011yescharacteristic
353C23×C19#12011yescharacteristic
354C23×C19C22×D411yescharacteristic
355Q8×C19—41no—
356Q8×C19—41no—
357Q8×C19—41no—
358Q8×C19—41no—
359Q8×C19—41no—
360Q8×C19—81no—
361D4×C19—41no—
362D4×C19—41no—
363D4×C19—41no—
364D4×C19—42no—
365D4×C19—42no—
366D4×C19—41no—
367D4×C19—41no—
368D4×C19—41no—
369D4×C19—41no—
370D4×C19—41no—
371D4×C19—41no—
372D4×C19—81no—
373D4×C19—81no—
374D4×C19—81no—
375D4×C19—81no—
376D4×C19—81no—
377D4×C19—81no—
378D4×C19—81no—
379D4×C19—81no—
380D4×C19—81no—
381D4×C19—81no—
382D4×C19—81no—
383D4×C19—81no—
384C2×C4×C19—22no—
385C2×C4×C19—21no—
386C2×C4×C19—21no—
387C2×C4×C19—21no—
388C2×C4×C19—21no—
389C2×C4×C19—21no—
390C2×C4×C19—21no—
391C2×C4×C19—21no—
392C2×C4×C19—21no—
393C2×C4×C19—21no—
394C2×C4×C19—21no—
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—41no—
407C2×C4×C19—41no—
408C2×C4×C19—41no—
409C2×C4×C19—41no—
410C2×C4×C19—41no—
411C2×C4×C19—41no—
412C2×C4×C19—41no—
413C2×C4×C19—41no—
414C2×C4×C19—81no—
415C2×C4×C19—81no—
416C2×C4×C19—81no—
417C2×C4×C19—81no—
418C2×C4×C19—81no—
419C2×C4×C19—81no—
420C2×C4×C19—81no—
421C2×C4×C19#12011yescharacteristic
422C2×C4×C19#12011yescharacteristic
423C2×C4×C19C22×D411yescharacteristic
424C2×C4×C19C22×D411yescharacteristic
425C8×C19—41no—
426C8×C19—41no—
427C8×C19—41no—
428C8×C19—41no—
429#3534C2×C1911yescharacteristic
430#3196C2×C1911yescharacteristic, complemented
431#3187C2×C1911yescharacteristic, complemented
432#2663C2×C1911yescharacteristic, complemented
433#1618C2×C1911yescharacteristic, complemented
434#1616C2×C1911yescharacteristic, complemented
435#1615C2×C1911yescharacteristic, complemented
436#1613C2×C1911yescharacteristic, complemented
437#1606C2×C1911yescharacteristic, complemented
438#1604C2×C1911yescharacteristic, complemented
439#1603C2×C1911yescharacteristic, complemented
440#1601C2×C1911yescharacteristic, complemented
441#1507C2×C1911yescharacteristic, complemented
442#1501C2×C1911yescharacteristic, complemented
443#1468C2×C1911yescharacteristic, complemented
444C22×C19—21no—
445C22×C19—21no—
446C22×C19—21no—
447C22×C19—21no—
448C22×C19—21no—
449C22×C19—21no—
450C22×C19—21no—
451C22×C19—21no—
452C22×C19—41no—
453C22×C19—41no—
454C22×C19—41no—
455C22×C19—41no—
456C22×C19—41no—
457C22×C19—41no—
458C22×C19—41no—
459C22×C19—41no—
460C22×C19—41no—
461C22×C19—41no—
462C22×C19—41no—
463C22×C19—41no—
464C22×C19—81no—
465C22×C19—81no—
466C22×C19—81no—
467C22×C19—81no—
468C22×C19—162no—
469C22×C19—162no—
470C22×C19C2×#12011yescharacteristic
471C22×C19#57711yescharacteristic
472C22×C19#57711yescharacteristic
473C4×C19—21no—
474C4×C19—21no—
475C4×C19—21no—
476C4×C19—21no—
477C4×C19—42no—
478C4×C19—41no—
479C4×C19—41no—
480C4×C19—41no—
481C4×C19—41no—
482C4×C19—41no—
483C4×C19—41no—
484C4×C19—41no—
485C4×C19—41no—
486C4×C19—81no—
487C4×C19—81no—
488C4×C19—81no—
489#562—21no—
490#560—21no—
491#553—21no—
492#551—21no—
493#546—21no—
494#546—21no—
495#546—21no—
496D42—21no—
497#540—21no—
498#539—21no—
499#539C22×C1911yescharacteristic
500#538—21no—
501#538C22×C1911yescharacteristic
502#537C22×C1911yescharacteristic
503#534—21no—
504#534C22×C1911yescharacteristic
505#525C22×C1911yescharacteristic
506C2×#123C22×C1911yescharacteristic
507C2×C22⋊Q8C22×C1911yescharacteristic, complemented
508C2×#121C22×C1911yescharacteristic
509#485—21no—
510#484C22×C1911yescharacteristic, complemented
511#483—21no—
512#481C22×C1911yescharacteristic
513#481C22×C1911yescharacteristic, complemented
514#481C22×C1911yescharacteristic, complemented
515#470—21no—
516#468—21no—
517#465—21no—
518#465—21no—
519#452—21no—
520#451C22×C1911yescharacteristic, complemented
521#450—21no—
522#448C22×C1911yescharacteristic
523#448C22×C1911yescharacteristic, complemented
524#448C22×C1911yescharacteristic, complemented
525#407C22×C1911yescharacteristic, complemented
526C2×C22⋊C8C22×C1911yescharacteristic, complemented
527#400C22×C1911yescharacteristic, complemented
528#399C22×C1911yescharacteristic, complemented
529#397—21no—
530#395C22×C1911yescharacteristic, complemented
531#394—21no—
532#393C22×C1911yescharacteristic, complemented
533#389—21no—
534#388—21no—
535C4×C22⋊C4C22×C1911yescharacteristic, complemented
536#328C22×C1911yescharacteristic, complemented
537#328C22×C1911yescharacteristic, complemented
538#327C22×C1911yescharacteristic
539#327C22×C1911yescharacteristic
540#327C22×C1911yescharacteristic, complemented
541#327C22×C1911yescharacteristic, complemented
542#327C22×C1911yescharacteristic, complemented
543#327C22×C1911yescharacteristic, complemented
544#324C22×C1911yescharacteristic, complemented
545#324C22×C1911yescharacteristic, complemented
546#323C22×C1911yescharacteristic, complemented
547#323C22×C1911yescharacteristic, complemented
548C2×C19—21no—
549C2×C19—21no—
550C2×C19—41no—
551C2×C19—41no—
552C2×C19—81no—
553C2×C19—81no—
554C2×C19—81no—
555C2×C19—81no—
556C2×C19#300911yescharacteristic
557C2×C19#301811yescharacteristic
558C2×C19#302611yescharacteristic
559C2×#41—21no—
560C2×#41D4×C1911yescharacteristic
561C22×Q8C23×C1911yescharacteristic
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4D4×C1911yescharacteristic
566C22×D4D4×C1911yescharacteristic
567C23×C4C23×C1911yescharacteristic
568C2×Q16—21no—
569C2×SD16—21no—
570C2×SD16—21no—
571C2×SD16—21no—
572C2×M16—21no—
573C22×C8—21no—
574#127—21no—
575#126—21no—
576#126—21no—
577#126—21no—
578#126—21no—
579#125—21no—
580#125—21no—
581#124—21no—
582#124—21no—
583#124—21no—
584#123—21no—
585#123—21no—
586#123—21no—
587#123—21no—
588#123—21no—
589#123—21no—
590#123—21no—
591#123—21no—
592#123—21no—
593#123—21no—
594#123—21no—
595#123—21no—
596#123—21no—
597#123—21no—
598C22⋊Q8—21no—
599C22⋊Q8—21no—
600C22⋊Q8—21no—
601C22⋊Q8—21no—
602C22⋊Q8—21no—
603C22⋊Q8—21no—
604C22⋊Q8—21no—
605C22⋊Q8—21no—
606C22⋊Q8—21no—
607C22⋊Q8D4×C1911yescharacteristic
608C22⋊Q8C23×C1911yescharacteristic
609#121—21no—
610#121—21no—
611#121—21no—
612#121—21no—
613#121—21no—
614#121—21no—
615#121—21no—
616#121—21no—
617#121—21no—
618#121—21no—
619#121—21no—
620#121—21no—
621#121—21no—
622#121—21no—
623#121—21no—
624#121D4×C1911yescharacteristic
625#121D4×C1911yescharacteristic
626#121D4×C1911yescharacteristic
627#121C23×C1911yescharacteristic
628#121C23×C1911yescharacteristic
629#121C23×C1911yescharacteristic
630#120—21no—
631#120—21no—
632#120—21no—
633#120—21no—
634#120—21no—
635#120—21no—
636#120—21no—
637#120—21no—
638C4×D4—21no—
639C4×D4—21no—
640C4×D4—21no—
641C4×D4—21no—
642C4×D4—21no—
643C4×D4—21no—
644C4×D4—21no—
645C4×D4—21no—
646#117—21no—
647#117D4×C1911yescharacteristic
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4D4×C1911yescharacteristic
652C2×C4⋊C4D4×C1911yescharacteristic
653C2×C4⋊C4C23×C1911yescharacteristic
654C2×C4⋊C4C23×C1911yescharacteristic
655C2×C22⋊C4—21no—
656C2×C22⋊C4—21no—
657C2×C22⋊C4—21no—
658C2×C22⋊C4—21no—
659C2×C22⋊C4—21no—
660C2×C22⋊C4—21no—
661C2×C22⋊C4—21no—
662C2×C22⋊C4D4×C1911yescharacteristic
663C2×C22⋊C4D4×C1911yescharacteristic
664C2×C22⋊C4C23×C1911yescharacteristic
665C2×C42—21no—
666#107—21no—
667#106—21no—
668#106—21no—
669#106—21no—
670#103—21no—
671#103—21no—
672#103—21no—
673#103—21no—
674#103—21no—
675#102—21no—
676#102—21no—
677#102—21no—
678C22⋊C8—21no—
679C22⋊C8—21no—
680C22⋊C8C23×C1911yescharacteristic
681C22⋊C8C23×C1911yescharacteristic
682C22⋊C8C23×C1911yescharacteristic
683C22⋊C8C23×C1911yescharacteristic
684#95—21no—
685#95—21no—
686#95—21no—
687#95—21no—
688#95C23×C1911yescharacteristic
689#95C23×C1911yescharacteristic
690C19#1841511yescharacteristic, direct product factor, Sylow
691C24—21no—
692C24—21no—
693C24C2×D4×C1911yescharacteristic
694C24C2×D4×C1911yescharacteristic
695#41—81no—
696#41—81no—
697#41—81no—
698C2×Q8—21no—
699C2×Q8—21no—
700C2×Q8—21no—
701C2×Q8—81no—
702C2×Q8C2×D4×C1911yescharacteristic
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—21no—
709C2×D4—21no—
710C2×D4—21no—
711C2×D4—21no—
712C2×D4—21no—
713C2×D4—21no—
714C2×D4—21no—
715C2×D4—21no—
716C2×D4—21no—
717C2×D4—21no—
718C2×D4—21no—
719C2×D4—21no—
720C2×D4—81no—
721C2×D4—81no—
722C2×D4—81no—
723C2×D4—81no—
724C2×D4—81no—
725C2×D4—81no—
726C2×D4—82no—
727C2×D4C2×D4×C1911yescharacteristic
728C2×D4C2×D4×C1911yescharacteristic
729C2×D4C2×D4×C1911yescharacteristic
730C22×C4—21no—
731C22×C4—21no—
732C22×C4—21no—
733C22×C4—21no—
734C22×C4—21no—
735C22×C4—21no—
736C22×C4—21no—
737C22×C4—21no—
738C22×C4—21no—
739C22×C4—21no—
740C22×C4—21no—
741C22×C4—81no—
742C22×C4C2×D4×C1911yescharacteristic
743C22×C4C2×D4×C1911yescharacteristic
744C22×C4C2×D4×C1911yescharacteristic
745C22×C4C2×D4×C1911yescharacteristic
746C22×C4C2×D4×C1911yescharacteristic
747C22×C4C2×D4×C1911yescharacteristic
748C22×C4C2×D4×C1911yescharacteristic
749C22×C4C2×D4×C1911yescharacteristic
750C22×C4C24×C1911yescharacteristic
751Q16—81no—
752SD16—81no—
753SD16—81no—
754SD16—81no—
755M16—81no—
756C2×C8—21no—
757C2×C8—21no—
758C2×C8—21no—
759C2×C8—21no—
760C2×C8—81no—
761C4⋊C4—21no—
762C4⋊C4—21no—
763C4⋊C4—21no—
764C4⋊C4—21no—
765C4⋊C4—21no—
766C4⋊C4—21no—
767C4⋊C4—21no—
768C4⋊C4—21no—
769C4⋊C4—21no—
770C4⋊C4—21no—
771C4⋊C4—21no—
772C4⋊C4—21no—
773C4⋊C4—21no—
774C4⋊C4—21no—
775C4⋊C4—21no—
776C4⋊C4—42no—
777C4⋊C4—41no—
778C4⋊C4—41no—
779C4⋊C4—81no—
780C4⋊C4C2×D4×C1911yescharacteristic
781C4⋊C4C2×D4×C1911yescharacteristic
782C4⋊C4C2×D4×C1911yescharacteristic
783C4⋊C4C2×D4×C1911yescharacteristic
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—21no—
799C22⋊C4—21no—
800C22⋊C4—21no—
801C22⋊C4—21no—
802C22⋊C4—21no—
803C22⋊C4—21no—
804C22⋊C4—21no—
805C22⋊C4—21no—
806C22⋊C4—21no—
807C22⋊C4—21no—
808C22⋊C4—21no—
809C22⋊C4—42no—
810C22⋊C4—42no—
811C22⋊C4—41no—
812C22⋊C4—41no—
813C22⋊C4—81no—
814C42—21no—
815C42—21no—
816C42—21no—
817C42—81no—
818C23—21no—
819C23—21no—
820C23—21no—
821C23—21no—
822C23—21no—
823C23—21no—
824C23—21no—
825C23—21no—
826C23—41no—
827C23—41no—
828C23—42no—
829C23—41no—
830C23—41no—
831C23—81no—
832C23—81no—
833C23—81no—
834C23—81no—
835C23—81no—
836C23C19×#12011yescharacteristic
837C23C19×#12011yescharacteristic
838C23C22×D4×C1911yescharacteristic
839Q8—41no—
840Q8—41no—
841Q8—41no—
842Q8—41no—
843Q8—41no—
844Q8—81no—
845D4—41no—
846D4—41no—
847D4—41no—
848D4—42no—
849D4—42no—
850D4—41no—
851D4—41no—
852D4—41no—
853D4—41no—
854D4—41no—
855D4—41no—
856D4—81no—
857D4—81no—
858D4—81no—
859D4—81no—
860D4—81no—
861D4—81no—
862D4—81no—
863D4—81no—
864D4—81no—
865D4—81no—
866D4—81no—
867D4—81no—
868C2×C4—22no—
869C2×C4—21no—
870C2×C4—21no—
871C2×C4—21no—
872C2×C4—21no—
873C2×C4—21no—
874C2×C4—21no—
875C2×C4—21no—
876C2×C4—21no—
877C2×C4—21no—
878C2×C4—21no—
879C2×C4—41no—
880C2×C4—41no—
881C2×C4—41no—
882C2×C4—41no—
883C2×C4—41no—
884C2×C4—41no—
885C2×C4—41no—
886C2×C4—41no—
887C2×C4—41no—
888C2×C4—41no—
889C2×C4—41no—
890C2×C4—41no—
891C2×C4—41no—
892C2×C4—41no—
893C2×C4—41no—
894C2×C4—41no—
895C2×C4—41no—
896C2×C4—41no—
897C2×C4—41no—
898C2×C4—81no—
899C2×C4—81no—
900C2×C4—81no—
901C2×C4—81no—
902C2×C4—81no—
903C2×C4—81no—
904C2×C4—81no—
905C2×C4C19×#12011yescharacteristic
906C2×C4C19×#12011yescharacteristic
907C2×C4C22×D4×C1911yescharacteristic
908C2×C4C22×D4×C1911yescharacteristic
909C8—41no—
910C8—41no—
911C8—41no—
912C8—41no—
913C22—21no—
914C22—21no—
915C22—21no—
916C22—21no—
917C22—21no—
918C22—21no—
919C22—21no—
920C22—21no—
921C22—41no—
922C22—41no—
923C22—41no—
924C22—41no—
925C22—41no—
926C22—41no—
927C22—41no—
928C22—41no—
929C22—41no—
930C22—41no—
931C22—41no—
932C22—41no—
933C22—81no—
934C22—81no—
935C22—81no—
936C22—81no—
937C22—162no—
938C22—162no—
939C22C2×C19×#12011yescharacteristic
940C22C19×#57711yescharacteristic
941C22C19×#57711yescharacteristic
942C4—21no—
943C4—21no—
944C4—21no—
945C4—21no—
946C4—42no—
947C4—41no—
948C4—41no—
949C4—41no—
950C4—41no—
951C4—41no—
952C4—41no—
953C4—41no—
954C4—41no—
955C4—81no—
956C4—81no—
957C4—81no—
958C2—21no—
959C2—21no—
960C2—41no—
961C2—41no—
962C2—81no—
963C2—81no—
964C2—81no—
965C2—81no—
966C2C19×#300911yescharacteristic
967C2C19×#301811yescharacteristic
968C2C19×#302611yescharacteristic
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×#3196C2semidirect
3. C19×#3187C2semidirect
4. C19×#2663C2semidirect
5. C19×#1618C2semidirect
6. C19×#1616C2semidirect
7. C19×#1615C2semidirect
8. C19×#1613C2semidirect
9. C19×#1606C2semidirect
10. C19×#1604C2semidirect
11. C19×#1603C2semidirect
12. C19×#1601C2semidirect
13. C19×#1507C2semidirect
14. C19×#1501C2semidirect
15. C19×#1468C2semidirect
34. C2×C19×C22⋊Q8C22semidirect
37. C19×#484C22semidirect
40. C19×#481C22semidirect
41. C19×#481C22semidirect
47. C19×#451C22semidirect
50. C19×#448C22semidirect
51. C19×#448C22semidirect
52. C19×#407C22semidirect
53. C2×C19×C22⋊C8C22semidirect
54. C19×#400C22semidirect
55. C19×#399C22semidirect
57. C19×#395C22semidirect
59. C19×#393C22semidirect
62. C4×C22⋊C4×C19C22semidirect
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
333. #18415C19direct (N × H)
430. #3196C2×C19semidirect
431. #3187C2×C19semidirect
432. #2663C2×C19semidirect
433. #1618C2×C19semidirect
434. #1616C2×C19semidirect
435. #1615C2×C19semidirect
436. #1613C2×C19semidirect
437. #1606C2×C19semidirect
438. #1604C2×C19semidirect
439. #1603C2×C19semidirect
440. #1601C2×C19semidirect
441. #1507C2×C19semidirect
442. #1501C2×C19semidirect
443. #1468C2×C19semidirect
507. C2×C22⋊Q8C22×C19semidirect
510. #484C22×C19semidirect
513. #481C22×C19semidirect
514. #481C22×C19semidirect
520. #451C22×C19semidirect
523. #448C22×C19semidirect
524. #448C22×C19semidirect
525. #407C22×C19semidirect
526. C2×C22⋊C8C22×C19semidirect
527. #400C22×C19semidirect
528. #399C22×C19semidirect
530. #395C22×C19semidirect
532. #393C22×C19semidirect
535. C4×C22⋊C4C22×C19semidirect
536. #328C22×C19semidirect
537. #328C22×C19semidirect
540. #327C22×C19semidirect
541. #327C22×C19semidirect
542. #327C22×C19semidirect
543. #327C22×C19semidirect
544. #324C22×C19semidirect
545. #324C22×C19semidirect
546. #323C22×C19semidirect
547. #323C22×C19semidirect
690. C19#18415direct (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×#31962
C19×#31872
C19×#26632
C19×#16182
C19×#16162
C19×#16152
C19×#16132
C19×#16062
C19×#16042
C19×#16032
C19×#16012
C19×#15072
C19×#15012
C19×#14682
#1841519