Finite Group Databasebeta

← C19×#18414 #18024373

Subgroups — C19×#18414 #18024373

Order 4864.

1042 conjugacy classes of subgroups.

The subgroup lattice has 1010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3534C211yesmaximal, characteristic, complemented
2C19×#3194C211yesmaximal, characteristic, complemented
3C19×#3186C211yesmaximal, characteristic, complemented
4C19×#2661C211yesmaximal, characteristic, complemented
5C19×#1612C211yesmaximal, characteristic, complemented
6C19×#1610C211yesmaximal, characteristic, complemented
7C19×#1609C211yesmaximal, characteristic, complemented
8C19×#1607C211yesmaximal, characteristic, complemented
9C19×#1600C211yesmaximal, characteristic, complemented
10C19×#1598C211yesmaximal, characteristic, complemented
11C19×#1597C211yesmaximal, characteristic, complemented
12C19×#1595C211yesmaximal, 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×#121C2211yescharacteristic
35C2×C19×#121C2211yescharacteristic, complemented
36C19×#483C2211yescharacteristic, complemented
37C19×#482—21no—
38C19×#480—21no—
39C19×#480C2211yescharacteristic
40C19×#480C2211yescharacteristic, complemented
41C19×#480C2211yescharacteristic, complemented
42C19×#469—21no—
43C19×#468—21no—
44C19×#466—21no—
45C19×#466—21no—
46C19×#450C2211yescharacteristic, complemented
47C19×#449—21no—
48C19×#447—21no—
49C19×#447C2211yescharacteristic
50C19×#447C2211yescharacteristic, complemented
51C19×#447C2211yescharacteristic, complemented
52C19×#407C2211yescharacteristic, complemented
53C2×C19×C22⋊C8C2211yescharacteristic, complemented
54C19×#398C2211yescharacteristic, complemented
55C19×#397C2211yescharacteristic, complemented
56C19×#394—21no—
57C19×#394C2211yescharacteristic, complemented
58C19×#392—21no—
59C19×#392C2211yescharacteristic, complemented
60C19×#390—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, complemented
77C22×D4×C19—21no—
78C22×D4×C19—21no—
79C22×D4×C19—21no—
80C22×D4×C19—21no—
81C22×D4×C19—21no—
82C22×D4×C19D411yescharacteristic
83C22×D4×C19D411yescharacteristic, complemented
84C22×D4×C19C2311yescharacteristic
85C23×C4×C19C2311yescharacteristic
86C2×SD16×C19—21no—
87C2×D8×C19—21no—
88C2×D8×C19—21no—
89C2×D8×C19—21no—
90C2×M16×C19—21no—
91C22×C8×C19—21no—
92C19×#127—21no—
93C19×#126—21no—
94C19×#126—21no—
95C19×#126—21no—
96C19×#126—21no—
97C19×#125—21no—
98C19×#125—21no—
99C19×#124—21no—
100C19×#124—21no—
101C19×#124—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×#123—21no—
115C19×#123—21no—
116C19×C22⋊Q8—21no—
117C19×C22⋊Q8—21no—
118C19×C22⋊Q8—21no—
119C19×C22⋊Q8—21no—
120C19×C22⋊Q8—21no—
121C19×C22⋊Q8D411yescharacteristic, complemented
122C19×C22⋊Q8C2311yescharacteristic
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×#121—21no—
133C19×#121—21no—
134C19×#121—21no—
135C19×#121—21no—
136C19×#121—21no—
137C19×#121—21no—
138C19×#121—21no—
139C19×#121—21no—
140C19×#121—21no—
141C19×#121—21no—
142C19×#121D411yescharacteristic, complemented
143C19×#121D411yescharacteristic, complemented
144C19×#121D411yescharacteristic, complemented
145C19×#121C2311yescharacteristic
146C19×#121C2311yescharacteristic
147C19×#121C2311yescharacteristic
148C19×#120—21no—
149C19×#120—21no—
150C19×#120—21no—
151C19×#120—21no—
152C19×#120—21no—
153C19×#120—21no—
154C19×#120—21no—
155C19×#120—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—
162C4×D4×C19—21no—
163C4×D4×C19—21no—
164C19×#117—21no—
165C19×#117D411yescharacteristic, complemented
166C2×C4⋊C4×C19—21no—
167C2×C4⋊C4×C19D411yescharacteristic
168C2×C4⋊C4×C19D411yescharacteristic, complemented
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×C19—21no—
179C2×C22⋊C4×C19—21no—
180C2×C22⋊C4×C19D411yescharacteristic
181C2×C22⋊C4×C19D411yescharacteristic
182C2×C22⋊C4×C19C2311yescharacteristic
183C2×C42×C19—21no—
184C19×#107—21no—
185C19×#107—21no—
186C19×#107—21no—
187C19×#106—21no—
188C19×#103—21no—
189C19×#102—21no—
190C19×#102—21no—
191C19×#102—21no—
192C19×#102—21no—
193C19×#102—21no—
194C19×#102—21no—
195C19×#102—21no—
196C19×C22⋊C8—21no—
197C19×C22⋊C8—21no—
198C19×C22⋊C8C2311yescharacteristic
199C19×C22⋊C8C2311yescharacteristic
200C19×C22⋊C8C2311yescharacteristic
201C19×C22⋊C8C2311yescharacteristic
202C19×#95—21no—
203C19×#95—21no—
204C19×#95C2311yescharacteristic
205C19×#95C2311yescharacteristic
206C24×C19—21no—
207C24×C19—21no—
208C24×C19—21no—
209C24×C19C2×D411yescharacteristic
210C24×C19C2×D411yescharacteristic
211#41×C19—81no—
212#41×C19—81no—
213#41×C19—81no—
214C2×Q8×C19—21no—
215C2×Q8×C19C2×D411yescharacteristic
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—21no—
233C2×D4×C19—21no—
234C2×D4×C19—21no—
235C2×D4×C19—42no—
236C2×D4×C19—41no—
237C2×D4×C19—41no—
238C2×D4×C19—81no—
239C2×D4×C19—81no—
240C2×D4×C19—81no—
241C2×D4×C19—81no—
242C2×D4×C19—81no—
243C2×D4×C19—81no—
244C2×D4×C19—81no—
245C2×D4×C19—81no—
246C2×D4×C19—81no—
247C2×D4×C19—81no—
248C2×D4×C19—81no—
249C2×D4×C19—82no—
250C2×D4×C19C2×D411yescharacteristic
251C2×D4×C19C2×D411yescharacteristic
252C2×D4×C19C2×D411yescharacteristic
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—81no—
264C22×C4×C19C2×D411yescharacteristic
265C22×C4×C19C2×D411yescharacteristic
266C22×C4×C19C2×D411yescharacteristic
267C22×C4×C19C2×D411yescharacteristic
268C22×C4×C19C2×D411yescharacteristic
269C22×C4×C19C2×D411yescharacteristic
270C22×C4×C19C2×D411yescharacteristic
271C22×C4×C19C2×D411yescharacteristic
272C22×C4×C19C2411yescharacteristic
273SD16×C19—81no—
274D8×C19—81no—
275D8×C19—81no—
276D8×C19—81no—
277M16×C19—81no—
278C2×C8×C19—21no—
279C2×C8×C19—21no—
280C2×C8×C19—21no—
281C2×C8×C19—21no—
282C2×C8×C19—81no—
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—21no—
292C4⋊C4×C19—21no—
293C4⋊C4×C19—21no—
294C4⋊C4×C19—21no—
295C4⋊C4×C19—21no—
296C4⋊C4×C19—21no—
297C4⋊C4×C19—21no—
298C4⋊C4×C19—81no—
299C4⋊C4×C19C2×D411yescharacteristic
300C4⋊C4×C19C2×D411yescharacteristic
301C4⋊C4×C19C2×D411yescharacteristic
302C4⋊C4×C19C2×D411yescharacteristic
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—21no—
325C22⋊C4×C19—21no—
326C22⋊C4×C19—21no—
327C22⋊C4×C19—21no—
328C22⋊C4×C19—42no—
329C22⋊C4×C19—42no—
330C22⋊C4×C19—41no—
331C22⋊C4×C19—41no—
332C22⋊C4×C19—81no—
333C22⋊C4×C19—81no—
334C22⋊C4×C19—81no—
335C42×C19—21no—
336C42×C19—21no—
337C42×C19—21no—
338C42×C19—81no—
339#18414C1911yesmaximal, characteristic, direct product factor, Sylow
340C23×C19—21no—
341C23×C19—21no—
342C23×C19—21no—
343C23×C19—21no—
344C23×C19—21no—
345C23×C19—21no—
346C23×C19—21no—
347C23×C19—21no—
348C23×C19—41no—
349C23×C19—41no—
350C23×C19—42no—
351C23×C19—41no—
352C23×C19—41no—
353C23×C19—41no—
354C23×C19—41no—
355C23×C19—41no—
356C23×C19—41no—
357C23×C19—41no—
358C23×C19—41no—
359C23×C19—41no—
360C23×C19—81no—
361C23×C19—81no—
362C23×C19—81no—
363C23×C19—81no—
364C23×C19—81no—
365C23×C19#12011yescharacteristic
366C23×C19#12011yescharacteristic
367C23×C19C22×D411yescharacteristic
368Q8×C19—41no—
369Q8×C19—81no—
370D4×C19—41no—
371D4×C19—41no—
372D4×C19—41no—
373D4×C19—41no—
374D4×C19—41no—
375D4×C19—41no—
376D4×C19—41no—
377D4×C19—42no—
378D4×C19—42no—
379D4×C19—41no—
380D4×C19—41no—
381D4×C19—41no—
382D4×C19—41no—
383D4×C19—41no—
384D4×C19—41no—
385D4×C19—81no—
386D4×C19—81no—
387D4×C19—81no—
388D4×C19—81no—
389D4×C19—81no—
390D4×C19—81no—
391D4×C19—81no—
392D4×C19—81no—
393D4×C19—81no—
394D4×C19—81no—
395D4×C19—81no—
396D4×C19—81no—
397D4×C19—84no—
398D4×C19—82no—
399D4×C19—82no—
400C2×C4×C19—22no—
401C2×C4×C19—21no—
402C2×C4×C19—21no—
403C2×C4×C19—21no—
404C2×C4×C19—21no—
405C2×C4×C19—21no—
406C2×C4×C19—21no—
407C2×C4×C19—21no—
408C2×C4×C19—21no—
409C2×C4×C19—21no—
410C2×C4×C19—21no—
411C2×C4×C19—41no—
412C2×C4×C19—41no—
413C2×C4×C19—41no—
414C2×C4×C19—41no—
415C2×C4×C19—41no—
416C2×C4×C19—41no—
417C2×C4×C19—41no—
418C2×C4×C19—41no—
419C2×C4×C19—41no—
420C2×C4×C19—41no—
421C2×C4×C19—41no—
422C2×C4×C19—41no—
423C2×C4×C19—41no—
424C2×C4×C19—41no—
425C2×C4×C19—41no—
426C2×C4×C19—41no—
427C2×C4×C19—81no—
428C2×C4×C19—81no—
429C2×C4×C19—81no—
430C2×C4×C19—81no—
431C2×C4×C19—81no—
432C2×C4×C19—81no—
433C2×C4×C19—81no—
434C2×C4×C19#12011yescharacteristic
435C2×C4×C19#12011yescharacteristic
436C2×C4×C19C22×D411yescharacteristic
437C2×C4×C19C22×D411yescharacteristic
438C8×C19—41no—
439C8×C19—41no—
440C8×C19—41no—
441C8×C19—41no—
442#3534C2×C1911yescharacteristic, complemented
443#3194C2×C1911yescharacteristic, complemented
444#3186C2×C1911yescharacteristic, complemented
445#2661C2×C1911yescharacteristic, complemented
446#1612C2×C1911yescharacteristic, complemented
447#1610C2×C1911yescharacteristic, complemented
448#1609C2×C1911yescharacteristic, complemented
449#1607C2×C1911yescharacteristic, complemented
450#1600C2×C1911yescharacteristic, complemented
451#1598C2×C1911yescharacteristic, complemented
452#1597C2×C1911yescharacteristic, complemented
453#1595C2×C1911yescharacteristic, complemented
454#1507C2×C1911yescharacteristic, complemented
455#1501C2×C1911yescharacteristic, complemented
456#1468C2×C1911yescharacteristic, complemented
457C22×C19—21no—
458C22×C19—21no—
459C22×C19—21no—
460C22×C19—21no—
461C22×C19—21no—
462C22×C19—21no—
463C22×C19—21no—
464C22×C19—21no—
465C22×C19—41no—
466C22×C19—41no—
467C22×C19—41no—
468C22×C19—41no—
469C22×C19—41no—
470C22×C19—41no—
471C22×C19—41no—
472C22×C19—41no—
473C22×C19—41no—
474C22×C19—41no—
475C22×C19—41no—
476C22×C19—41no—
477C22×C19—81no—
478C22×C19—81no—
479C22×C19—81no—
480C22×C19—81no—
481C22×C19—81no—
482C22×C19—81no—
483C22×C19—81no—
484C22×C19—81no—
485C22×C19—81no—
486C22×C19—81no—
487C22×C19—81no—
488C22×C19—162no—
489C22×C19—162no—
490C22×C19C2×#12011yescharacteristic
491C22×C19#57611yescharacteristic
492C22×C19#57611yescharacteristic
493C4×C19—21no—
494C4×C19—21no—
495C4×C19—21no—
496C4×C19—21no—
497C4×C19—42no—
498C4×C19—41no—
499C4×C19—41no—
500C4×C19—41no—
501C4×C19—41no—
502C4×C19—41no—
503C4×C19—41no—
504C4×C19—41no—
505C4×C19—41no—
506C4×C19—81no—
507C4×C19—81no—
508#562—21no—
509#560—21no—
510#553—21no—
511#551—21no—
512#546—21no—
513#546—21no—
514#546—21no—
515D42—21no—
516#540—21no—
517#539—21no—
518#539C22×C1911yescharacteristic
519#538—21no—
520#538C22×C1911yescharacteristic
521#537C22×C1911yescharacteristic
522#534—21no—
523#534C22×C1911yescharacteristic
524#525C22×C1911yescharacteristic
525C2×#123C22×C1911yescharacteristic
526C2×#121C22×C1911yescharacteristic
527C2×#121C22×C1911yescharacteristic, complemented
528#483C22×C1911yescharacteristic, complemented
529#482—21no—
530#480—21no—
531#480C22×C1911yescharacteristic
532#480C22×C1911yescharacteristic, complemented
533#480C22×C1911yescharacteristic, complemented
534#469—21no—
535#468—21no—
536#466—21no—
537#466—21no—
538#450C22×C1911yescharacteristic, complemented
539#449—21no—
540#447—21no—
541#447C22×C1911yescharacteristic
542#447C22×C1911yescharacteristic, complemented
543#447C22×C1911yescharacteristic, complemented
544#407C22×C1911yescharacteristic, complemented
545C2×C22⋊C8C22×C1911yescharacteristic, complemented
546#398C22×C1911yescharacteristic, complemented
547#397C22×C1911yescharacteristic, complemented
548#394—21no—
549#394C22×C1911yescharacteristic, complemented
550#392—21no—
551#392C22×C1911yescharacteristic, complemented
552#390—21no—
553#388—21no—
554C4×C22⋊C4C22×C1911yescharacteristic, complemented
555#328C22×C1911yescharacteristic, complemented
556#328C22×C1911yescharacteristic, complemented
557#327C22×C1911yescharacteristic
558#327C22×C1911yescharacteristic
559#327C22×C1911yescharacteristic, complemented
560#327C22×C1911yescharacteristic, complemented
561#327C22×C1911yescharacteristic, complemented
562#327C22×C1911yescharacteristic, complemented
563#324C22×C1911yescharacteristic, complemented
564#324C22×C1911yescharacteristic, complemented
565#323C22×C1911yescharacteristic, complemented
566#323C22×C1911yescharacteristic, complemented
567C2×C19—21no—
568C2×C19—21no—
569C2×C19—41no—
570C2×C19—41no—
571C2×C19—81no—
572C2×C19—81no—
573C2×C19—81no—
574C2×C19—81no—
575C2×C19—161no—
576C2×C19#300811yescharacteristic
577C2×C19#301811yescharacteristic
578C2×C19#302611yescharacteristic
579C2×#41—21no—
580C2×#41D4×C1911yescharacteristic, complemented
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4D4×C1911yescharacteristic
587C22×D4D4×C1911yescharacteristic, complemented
588C22×D4C23×C1911yescharacteristic
589C23×C4C23×C1911yescharacteristic
590C2×SD16—21no—
591C2×D8—21no—
592C2×D8—21no—
593C2×D8—21no—
594C2×M16—21no—
595C22×C8—21no—
596#127—21no—
597#126—21no—
598#126—21no—
599#126—21no—
600#126—21no—
601#125—21no—
602#125—21no—
603#124—21no—
604#124—21no—
605#124—21no—
606#123—21no—
607#123—21no—
608#123—21no—
609#123—21no—
610#123—21no—
611#123—21no—
612#123—21no—
613#123—21no—
614#123—21no—
615#123—21no—
616#123—21no—
617#123—21no—
618#123—21no—
619#123—21no—
620C22⋊Q8—21no—
621C22⋊Q8—21no—
622C22⋊Q8—21no—
623C22⋊Q8—21no—
624C22⋊Q8—21no—
625C22⋊Q8D4×C1911yescharacteristic, complemented
626C22⋊Q8C23×C1911yescharacteristic
627#121—21no—
628#121—21no—
629#121—21no—
630#121—21no—
631#121—21no—
632#121—21no—
633#121—21no—
634#121—21no—
635#121—21no—
636#121—21no—
637#121—21no—
638#121—21no—
639#121—21no—
640#121—21no—
641#121—21no—
642#121—21no—
643#121—21no—
644#121—21no—
645#121—21no—
646#121D4×C1911yescharacteristic, complemented
647#121D4×C1911yescharacteristic, complemented
648#121D4×C1911yescharacteristic, complemented
649#121C23×C1911yescharacteristic
650#121C23×C1911yescharacteristic
651#121C23×C1911yescharacteristic
652#120—21no—
653#120—21no—
654#120—21no—
655#120—21no—
656#120—21no—
657#120—21no—
658#120—21no—
659#120—21no—
660C4×D4—21no—
661C4×D4—21no—
662C4×D4—21no—
663C4×D4—21no—
664C4×D4—21no—
665C4×D4—21no—
666C4×D4—21no—
667C4×D4—21no—
668#117—21no—
669#117D4×C1911yescharacteristic, complemented
670C2×C4⋊C4—21no—
671C2×C4⋊C4D4×C1911yescharacteristic
672C2×C4⋊C4D4×C1911yescharacteristic, complemented
673C2×C4⋊C4C23×C1911yescharacteristic
674C2×C4⋊C4C23×C1911yescharacteristic
675C2×C22⋊C4—21no—
676C2×C22⋊C4—21no—
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4D4×C1911yescharacteristic
685C2×C22⋊C4D4×C1911yescharacteristic
686C2×C22⋊C4C23×C1911yescharacteristic
687C2×C42—21no—
688#107—21no—
689#107—21no—
690#107—21no—
691#106—21no—
692#103—21no—
693#102—21no—
694#102—21no—
695#102—21no—
696#102—21no—
697#102—21no—
698#102—21no—
699#102—21no—
700C22⋊C8—21no—
701C22⋊C8—21no—
702C22⋊C8C23×C1911yescharacteristic
703C22⋊C8C23×C1911yescharacteristic
704C22⋊C8C23×C1911yescharacteristic
705C22⋊C8C23×C1911yescharacteristic
706#95—21no—
707#95—21no—
708#95C23×C1911yescharacteristic
709#95C23×C1911yescharacteristic
710C19#1841411yescharacteristic, direct product factor, Sylow
711C24—21no—
712C24—21no—
713C24—21no—
714C24C2×D4×C1911yescharacteristic
715C24C2×D4×C1911yescharacteristic
716#41—81no—
717#41—81no—
718#41—81no—
719C2×Q8—21no—
720C2×Q8C2×D4×C1911yescharacteristic
721C2×D4—21no—
722C2×D4—21no—
723C2×D4—21no—
724C2×D4—21no—
725C2×D4—21no—
726C2×D4—21no—
727C2×D4—21no—
728C2×D4—21no—
729C2×D4—21no—
730C2×D4—21no—
731C2×D4—21no—
732C2×D4—21no—
733C2×D4—21no—
734C2×D4—21no—
735C2×D4—21no—
736C2×D4—21no—
737C2×D4—21no—
738C2×D4—21no—
739C2×D4—21no—
740C2×D4—42no—
741C2×D4—41no—
742C2×D4—41no—
743C2×D4—81no—
744C2×D4—81no—
745C2×D4—81no—
746C2×D4—81no—
747C2×D4—81no—
748C2×D4—81no—
749C2×D4—81no—
750C2×D4—81no—
751C2×D4—81no—
752C2×D4—81no—
753C2×D4—81no—
754C2×D4—82no—
755C2×D4C2×D4×C1911yescharacteristic
756C2×D4C2×D4×C1911yescharacteristic
757C2×D4C2×D4×C1911yescharacteristic
758C22×C4—21no—
759C22×C4—21no—
760C22×C4—21no—
761C22×C4—21no—
762C22×C4—21no—
763C22×C4—21no—
764C22×C4—21no—
765C22×C4—21no—
766C22×C4—21no—
767C22×C4—21no—
768C22×C4—81no—
769C22×C4C2×D4×C1911yescharacteristic
770C22×C4C2×D4×C1911yescharacteristic
771C22×C4C2×D4×C1911yescharacteristic
772C22×C4C2×D4×C1911yescharacteristic
773C22×C4C2×D4×C1911yescharacteristic
774C22×C4C2×D4×C1911yescharacteristic
775C22×C4C2×D4×C1911yescharacteristic
776C22×C4C2×D4×C1911yescharacteristic
777C22×C4C24×C1911yescharacteristic
778SD16—81no—
779D8—81no—
780D8—81no—
781D8—81no—
782M16—81no—
783C2×C8—21no—
784C2×C8—21no—
785C2×C8—21no—
786C2×C8—21no—
787C2×C8—81no—
788C4⋊C4—21no—
789C4⋊C4—21no—
790C4⋊C4—21no—
791C4⋊C4—21no—
792C4⋊C4—21no—
793C4⋊C4—21no—
794C4⋊C4—21no—
795C4⋊C4—21no—
796C4⋊C4—21no—
797C4⋊C4—21no—
798C4⋊C4—21no—
799C4⋊C4—21no—
800C4⋊C4—21no—
801C4⋊C4—21no—
802C4⋊C4—21no—
803C4⋊C4—81no—
804C4⋊C4C2×D4×C1911yescharacteristic
805C4⋊C4C2×D4×C1911yescharacteristic
806C4⋊C4C2×D4×C1911yescharacteristic
807C4⋊C4C2×D4×C1911yescharacteristic
808C22⋊C4—21no—
809C22⋊C4—21no—
810C22⋊C4—21no—
811C22⋊C4—21no—
812C22⋊C4—21no—
813C22⋊C4—21no—
814C22⋊C4—21no—
815C22⋊C4—21no—
816C22⋊C4—21no—
817C22⋊C4—21no—
818C22⋊C4—21no—
819C22⋊C4—21no—
820C22⋊C4—21no—
821C22⋊C4—21no—
822C22⋊C4—21no—
823C22⋊C4—21no—
824C22⋊C4—21no—
825C22⋊C4—21no—
826C22⋊C4—21no—
827C22⋊C4—21no—
828C22⋊C4—21no—
829C22⋊C4—21no—
830C22⋊C4—21no—
831C22⋊C4—21no—
832C22⋊C4—21no—
833C22⋊C4—42no—
834C22⋊C4—42no—
835C22⋊C4—41no—
836C22⋊C4—41no—
837C22⋊C4—81no—
838C22⋊C4—81no—
839C22⋊C4—81no—
840C42—21no—
841C42—21no—
842C42—21no—
843C42—81no—
844C23—21no—
845C23—21no—
846C23—21no—
847C23—21no—
848C23—21no—
849C23—21no—
850C23—21no—
851C23—21no—
852C23—41no—
853C23—41no—
854C23—42no—
855C23—41no—
856C23—41no—
857C23—41no—
858C23—41no—
859C23—41no—
860C23—41no—
861C23—41no—
862C23—41no—
863C23—41no—
864C23—81no—
865C23—81no—
866C23—81no—
867C23—81no—
868C23—81no—
869C23C19×#12011yescharacteristic
870C23C19×#12011yescharacteristic
871C23C22×D4×C1911yescharacteristic
872Q8—41no—
873Q8—81no—
874D4—41no—
875D4—41no—
876D4—41no—
877D4—41no—
878D4—41no—
879D4—41no—
880D4—41no—
881D4—42no—
882D4—42no—
883D4—41no—
884D4—41no—
885D4—41no—
886D4—41no—
887D4—41no—
888D4—41no—
889D4—81no—
890D4—81no—
891D4—81no—
892D4—81no—
893D4—81no—
894D4—81no—
895D4—81no—
896D4—81no—
897D4—81no—
898D4—81no—
899D4—81no—
900D4—81no—
901D4—84no—
902D4—82no—
903D4—82no—
904C2×C4—22no—
905C2×C4—21no—
906C2×C4—21no—
907C2×C4—21no—
908C2×C4—21no—
909C2×C4—21no—
910C2×C4—21no—
911C2×C4—21no—
912C2×C4—21no—
913C2×C4—21no—
914C2×C4—21no—
915C2×C4—41no—
916C2×C4—41no—
917C2×C4—41no—
918C2×C4—41no—
919C2×C4—41no—
920C2×C4—41no—
921C2×C4—41no—
922C2×C4—41no—
923C2×C4—41no—
924C2×C4—41no—
925C2×C4—41no—
926C2×C4—41no—
927C2×C4—41no—
928C2×C4—41no—
929C2×C4—41no—
930C2×C4—41no—
931C2×C4—81no—
932C2×C4—81no—
933C2×C4—81no—
934C2×C4—81no—
935C2×C4—81no—
936C2×C4—81no—
937C2×C4—81no—
938C2×C4C19×#12011yescharacteristic
939C2×C4C19×#12011yescharacteristic
940C2×C4C22×D4×C1911yescharacteristic
941C2×C4C22×D4×C1911yescharacteristic
942C8—41no—
943C8—41no—
944C8—41no—
945C8—41no—
946C22—21no—
947C22—21no—
948C22—21no—
949C22—21no—
950C22—21no—
951C22—21no—
952C22—21no—
953C22—21no—
954C22—41no—
955C22—41no—
956C22—41no—
957C22—41no—
958C22—41no—
959C22—41no—
960C22—41no—
961C22—41no—
962C22—41no—
963C22—41no—
964C22—41no—
965C22—41no—
966C22—81no—
967C22—81no—
968C22—81no—
969C22—81no—
970C22—81no—
971C22—81no—
972C22—81no—
973C22—81no—
974C22—81no—
975C22—81no—
976C22—81no—
977C22—162no—
978C22—162no—
979C22C2×C19×#12011yescharacteristic
980C22C19×#57611yescharacteristic
981C22C19×#57611yescharacteristic
982C4—21no—
983C4—21no—
984C4—21no—
985C4—21no—
986C4—42no—
987C4—41no—
988C4—41no—
989C4—41no—
990C4—41no—
991C4—41no—
992C4—41no—
993C4—41no—
994C4—41no—
995C4—81no—
996C4—81no—
997C2—21no—
998C2—21no—
999C2—41no—
1000C2—41no—
1001C2—81no—
1002C2—81no—
1003C2—81no—
1004C2—81no—
1005C2—161no—
1006C2C19×#300811yescharacteristic
1007C2C19×#301811yescharacteristic
1008C2C19×#302611yescharacteristic
subgroupG/H
center, socleC22×C19C2×#120
commutator, Frattini, cosocleC22×C4C24×C19
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
1. C19×#3534C2semidirect
2. C19×#3194C2semidirect
3. C19×#3186C2semidirect
4. C19×#2661C2semidirect
5. C19×#1612C2semidirect
6. C19×#1610C2semidirect
7. C19×#1609C2semidirect
8. C19×#1607C2semidirect
9. C19×#1600C2semidirect
10. C19×#1598C2semidirect
11. C19×#1597C2semidirect
12. C19×#1595C2semidirect
13. C19×#1507C2semidirect
14. C19×#1501C2semidirect
15. C19×#1468C2semidirect
35. C2×C19×#121C22semidirect
36. C19×#483C22semidirect
40. C19×#480C22semidirect
41. C19×#480C22semidirect
46. C19×#450C22semidirect
50. C19×#447C22semidirect
51. C19×#447C22semidirect
52. C19×#407C22semidirect
53. C2×C19×C22⋊C8C22semidirect
54. C19×#398C22semidirect
55. C19×#397C22semidirect
57. C19×#394C22semidirect
59. C19×#392C22semidirect
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
76. C2×#41×C19D4semidirect
83. C22×D4×C19D4semidirect
121. C19×C22⋊Q8D4semidirect
142. C19×#121D4semidirect
143. C19×#121D4semidirect
144. C19×#121D4semidirect
165. C19×#117D4semidirect
168. C2×C4⋊C4×C19D4semidirect
339. #18414C19direct (N × H)
442. #3534C2×C19semidirect
443. #3194C2×C19semidirect
444. #3186C2×C19semidirect
445. #2661C2×C19semidirect
446. #1612C2×C19semidirect
447. #1610C2×C19semidirect
448. #1609C2×C19semidirect
449. #1607C2×C19semidirect
450. #1600C2×C19semidirect
451. #1598C2×C19semidirect
452. #1597C2×C19semidirect
453. #1595C2×C19semidirect
454. #1507C2×C19semidirect
455. #1501C2×C19semidirect
456. #1468C2×C19semidirect
527. C2×#121C22×C19semidirect
528. #483C22×C19semidirect
532. #480C22×C19semidirect
533. #480C22×C19semidirect
538. #450C22×C19semidirect
542. #447C22×C19semidirect
543. #447C22×C19semidirect
544. #407C22×C19semidirect
545. C2×C22⋊C8C22×C19semidirect
546. #398C22×C19semidirect
547. #397C22×C19semidirect
549. #394C22×C19semidirect
551. #392C22×C19semidirect
554. C4×C22⋊C4C22×C19semidirect
555. #328C22×C19semidirect
556. #328C22×C19semidirect
559. #327C22×C19semidirect
560. #327C22×C19semidirect
561. #327C22×C19semidirect
562. #327C22×C19semidirect
563. #324C22×C19semidirect
564. #324C22×C19semidirect
565. #323C22×C19semidirect
566. #323C22×C19semidirect
580. C2×#41D4×C19semidirect
587. C22×D4D4×C19semidirect
625. C22⋊Q8D4×C19semidirect
646. #121D4×C19semidirect
647. #121D4×C19semidirect
648. #121D4×C19semidirect
669. #117D4×C19semidirect
672. C2×C4⋊C4D4×C19semidirect
710. C19#18414direct (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×#31942
C19×#31862
C19×#26612
C19×#16122
C19×#16102
C19×#16092
C19×#16072
C19×#16002
C19×#15982
C19×#15972
C19×#15952
C19×#15072
C19×#15012
C19×#14682
#1841419