Finite Group Databasebeta

← D19×#553 #14577150

Subgroups — D19×#553 #14577150

Order 2432.

1252 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11927247C211yesmaximal, characteristic, complemented
2#11927246C211yesmaximal, characteristic, complemented
3#11927245C212yesmaximal, complemented
4#11927244C211yesmaximal, characteristic, complemented
5#11927243C212yesmaximal, complemented
6#11927242C211yesmaximal, characteristic, complemented
7#11927241C211yesmaximal, characteristic, complemented
8#11927240C211yesmaximal, characteristic, complemented
9#11927239C212yesmaximal, complemented
10#11927238C211yesmaximal, characteristic, complemented
11#11927237C212yesmaximal, complemented
12#126×D19C212yesmaximal, complemented
13#125×D19C211yesmaximal, characteristic, complemented
14#123×D19C212yesmaximal, complemented
15#121×D19C211yesmaximal, characteristic, complemented
16#121×D19C211yesmaximal, characteristic, complemented
17#121×D19C212yesmaximal, complemented
18C4×D4×D19C211yesmaximal, characteristic, complemented
19C4×D4×D19C212yesmaximal, complemented
20C4×D4×D19C211yesmaximal, characteristic, complemented
21#117×D19C211yesmaximal, characteristic, complemented
22C2×C4⋊C4×D19C211yesmaximal, characteristic, complemented
23C19×#553C211yesmaximal, characteristic, complemented
24C2×D4×D19C2211yescharacteristic
25C2×D4×D19C2212yes—
26C2×D4×D19C2211yescharacteristic
27C2×D4×D19C2212yes—
28C22×C4×D19C2211yescharacteristic
29C22×C4×D19C2211yescharacteristic
30C22×C4×D19C2212yes—
31C22×C4×D19C2212yes—
32C19×#126C2212yescomplemented
33C19×#125C2211yescharacteristic, complemented
34C19×#123C2212yescomplemented
35C19×#121C2212yescomplemented
36C19×#121C2211yescharacteristic, complemented
37C19×#121C2211yescharacteristic, complemented
38C4×D4×C19C2211yescharacteristic, complemented
39C4×D4×C19C2212yescomplemented
40C4×D4×C19C2211yescharacteristic, complemented
41C19×#117C2211yescharacteristic, complemented
42C2×C4⋊C4×C19C2211yescharacteristic, complemented
43#10597385C2212yescomplemented
44#10597385C2212yescomplemented
45#10597385C2212yescomplemented
46#10597385C2212yescomplemented
47#10597384C2212yescomplemented
48#10597384C2211yescharacteristic, complemented
49#10597384C2211yescharacteristic, complemented
50#10597381C2212yescomplemented
51D4×Dic19C2211yescharacteristic, complemented
52D4×Dic19C2212yescomplemented
53D4×Dic19C2211yescharacteristic, complemented
54#10597376C2211yescharacteristic, complemented
55#10597376C2211yescharacteristic, complemented
56#10597376C2212yescomplemented
57#10597375C2212yescomplemented
58C4×C22⋊D19C2212yescomplemented
59C4×C22⋊D19C2211yescharacteristic, complemented
60C4×C22⋊D19C2212yescomplemented
61C4×C22⋊D19C2212yescomplemented
62C4×C22⋊D19C2211yescharacteristic, complemented
63#10597372C2211yescharacteristic, complemented
64C2×C4⋊Dic19C2211yescharacteristic, complemented
65C2×Dic19⋊C4C2212yescomplemented
66#10597344C2212yescomplemented
67#10597344C2212yescomplemented
68#10597344C2212yescomplemented
69#10597341C2211yescharacteristic, complemented
70#10597341C2211yescharacteristic, complemented
71#10597341C2212yescomplemented
72#10597340C2212yescomplemented
73#10597340C2212yescomplemented
74#10597339C2211yescharacteristic, complemented
75#10597339C2212yescomplemented
76#10597339C2211yescharacteristic, complemented
77#10597338C2211yescharacteristic, complemented
78#10597338C2211yescharacteristic, complemented
79C4⋊C4×D19C2212yes—
80C4⋊C4×D19C2212yes—
81C4⋊C4×D19C2212yes—
82C4⋊C4×D19C2211yescharacteristic
83C4⋊C4×D19C2211yescharacteristic
84C4⋊C4×D19C2211yescharacteristic
85C4⋊C4×D19C2211yescharacteristic
86C4⋊C4×D19C2211yescharacteristic, complemented
87C4⋊C4×D19C2212yescomplemented
88C4⋊C4×D19C2211yescharacteristic, complemented
89#10597336C2211yescharacteristic, complemented
90#10597336C2211yescharacteristic, complemented
91#10597335C2212yescomplemented
92#10597335C2212yescomplemented
93#10597332C2212yescomplemented
94#10597330C2212yescomplemented
95#10597330C2212yescomplemented
96#10597330C2212yescomplemented
97#10597330C2212yescomplemented
98#10597329C2212yescomplemented
99#10597329C2212yescomplemented
100(C22⋊D19)⋊C4C2212yescomplemented
101(C22⋊D19)⋊C4C2211yescharacteristic, complemented
102(C22⋊D19)⋊C4C2212yescomplemented
103(C22⋊D19)⋊C4C2212yescomplemented
104(C22⋊D19)⋊C4C2211yescharacteristic, complemented
105C22⋊C4×D19C2211yescharacteristic
106C22⋊C4×D19C2212yes—
107C22⋊C4×D19C2212yes—
108C22⋊C4×D19C2212yes—
109C22⋊C4×D19C2212yes—
110C22⋊C4×D19C2211yescharacteristic
111#10597325C2212yescomplemented
112#10597325C2212yescomplemented
113#10597325C2212yescomplemented
114#10597323C2212yescomplemented
115#10597322C2212yescomplemented
116C4×D76C2212yescomplemented
117C4×D76C2211yescharacteristic, complemented
118C4×D76C2211yescharacteristic, complemented
119#10597318C2212yescomplemented
120C42×D19C2211yescharacteristic
121C42×D19C2212yes—
122#10597316C2211yescharacteristic, complemented
123C23×D19C2311yescharacteristic
124C23×D19C2312yes—
125C23×D19C2311yescharacteristic
126C2×D4×C19C2311yescharacteristic
127C2×D4×C19C2311yescharacteristic
128C2×D4×C19C2312yes—
129C2×D4×C19C2312yes—
130C22×C4×C19C2311yescharacteristic
131C22×C4×C19C2311yescharacteristic
132C22×C4×C19C2312yes—
133C22×C4×C19C2312yes—
134C2×C22⋊D19C2312yes—
135C2×C22⋊D19C2311yescharacteristic
136C2×C22⋊D19C2311yescharacteristic
137C2×C22⋊D19C2312yes—
138C2×C22⋊D19C2312yes—
139C2×C22⋊D19C2312yes—
140C2×C22⋊D19C2312yes—
141C22×Dic19C2311yescharacteristic
142C22×Dic19C2311yescharacteristic
143C22×Dic19C2312yes—
144C22×Dic19C2312yes—
145D4×D19—24no—
146D4×D19—28no—
147D4×D19—24no—
148D4×D19—44no—
149C2×D76C2311yescharacteristic
150C2×D76C2312yes—
151C2×D76C2311yescharacteristic
152C2×D76C2312yes—
153C2×C4×D19—24no—
154C2×C4×D19—24no—
155C2×C4×D19—44no—
156C2×C4×D19—44no—
157C2×C4×D19C2311yescharacteristic
158C2×C4×D19C2311yescharacteristic
159C2×C4×D19C2311yescharacteristic
160C2×C4×D19C2312yes—
161C2×C4×D19C2312yes—
162C2×C4×D19C2311yescharacteristic
163C2×C4×D19C2311yescharacteristic
164C2×C4×D19C2311yescharacteristic
165C2×C4×D19C2311yescharacteristic
166C2×C4×D19C2311yescharacteristic
167C2×C4×D19C2312yes—
168C2×C4×D19C2312yes—
169C2×C4×D19C2312yes—
170C2×C4×D19C2312yes—
171C2×C4×D19C2312yes—
172C2×C4×D19C2311yescharacteristic
173C4⋊C4×C19C2311yescharacteristic
174C4⋊C4×C19C2311yescharacteristic
175C4⋊C4×C19C2312yes—
176C4⋊C4×C19C2311yescharacteristic
177C4⋊C4×C19C2312yes—
178C4⋊C4×C19C2311yescharacteristic
179C4⋊C4×C19C2312yes—
180C22⋊C4×C19C2312yes—
181C22⋊C4×C19C2311yescharacteristic
182C22⋊C4×C19C2312yes—
183C22⋊C4×C19C2312yes—
184C22⋊C4×C19C2311yescharacteristic
185C22⋊C4×C19C2312yes—
186C42×C19C2312yes—
187C42×C19C2311yescharacteristic
188C22⋊Dic19C2311yescharacteristic
189C22⋊Dic19C2311yescharacteristic
190C22⋊Dic19C2312yes—
191C22⋊Dic19C2312yes—
192C22⋊Dic19C2312yes—
193C22⋊Dic19C2312yes—
194(C2×D19)⋊C4C2312yes—
195(C2×D19)⋊C4C2312yes—
196(C2×D19)⋊C4C2312yes—
197(C2×D19)⋊C4C2312yes—
198(C2×D19)⋊C4C2312yes—
199(C2×D19)⋊C4C2312yes—
200(C2×D19)⋊C4C2312yes—
201(C2×D19)⋊C4C2312yes—
202(C2×D19)⋊C4C2311yescharacteristic
203(C2×D19)⋊C4C2311yescharacteristic
204(C2×D19)⋊C4C2311yescharacteristic
205(C2×D19)⋊C4C2311yescharacteristic
206C4⋊Dic19C2311yescharacteristic
207C4⋊Dic19C2311yescharacteristic
208C4⋊Dic19C2312yes—
209C4⋊Dic19C2311yescharacteristic
210C4⋊Dic19C2312yes—
211C4⋊Dic19C2311yescharacteristic
212C4⋊Dic19C2312yes—
213Dic19⋊C4C2312yes—
214Dic19⋊C4C2312yes—
215Dic19⋊C4C2312yes—
216Dic19⋊C4C2312yes—
217Dic19⋊C4C2312yes—
218Dic19⋊C4C2312yes—
219Dic19⋊C4C2312yes—
220Dic19⋊C4C2312yes—
221Dic19⋊C4C2311yescharacteristic
222Dic19⋊C4C2312yes—
223Dic19⋊C4C2311yescharacteristic
224C4×Dic19C2312yes—
225C4×Dic19C2311yescharacteristic
226C4×Dic19C2311yescharacteristic
227C4×Dic19C2312yes—
228C4×Dic19C2312yes—
229C4×Dic19C2311yescharacteristic
230C23×C19C2411yescharacteristic
231C23×C19C2412yes—
232C23×C19C2411yescharacteristic
233C22×D19—22no—
234C22×D19—22no—
235C22×D19—22no—
236C22×D19—22no—
237C22×D19—24no—
238C22×D19—24no—
239C22×D19—24no—
240C22×D19—22no—
241C22×D19#4114yes—
242C22×D19C2411yescharacteristic
243C22×D19C2412yes—
244C22×D19C2411yescharacteristic
245C22×D19C2411yescharacteristic
246D4×C19—22no—
247D4×C19—24no—
248D4×C19—22no—
249D4×C19—42no—
250C2×C4×C19—22no—
251C2×C4×C19—22no—
252C2×C4×C19—42no—
253C2×C4×C19—42no—
254C2×C4×C19C2411yescharacteristic
255C2×C4×C19C2412yes—
256C2×C4×C19C2411yescharacteristic
257C2×C4×C19C2412yes—
258C2×C4×C19C2411yescharacteristic
259C2×C4×C19C2412yes—
260C2×C4×C19C2411yescharacteristic
261C2×C4×C19C2411yescharacteristic
262C22⋊D19—24no—
263C22⋊D19—22no—
264C22⋊D19—22no—
265C22⋊D19—24no—
266C22⋊D19—24no—
267C22⋊D19—42no—
268C22⋊D19—42no—
269C2×Dic19—22no—
270C2×Dic19—22no—
271C2×Dic19—42no—
272C2×Dic19—42no—
273C2×Dic19C2411yescharacteristic
274C2×Dic19C2411yescharacteristic
275C2×Dic19C2412yes—
276C2×Dic19C2412yes—
277C2×Dic19C2411yescharacteristic
278C2×Dic19C2412yes—
279C2×Dic19C2411yescharacteristic
280C2×Dic19C2411yescharacteristic
281D76—24no—
282D76—22no—
283D76—22no—
284D76—42no—
285C4×D19—22no—
286C4×D19—22no—
287C4×D19—22no—
288C4×D19—24no—
289C4×D19—22no—
290C4×D19—24no—
291C4×D19—24no—
292C4×D19—22no—
293C4×D19—22no—
294C4×D19—22no—
295C4×D19—22no—
296C4×D19—42no—
297C4×D19—42no—
298C4×D19—42no—
299C4×D19—42no—
300C4×D19#4114yes—
301C2×#553—191nomaximal, Sylow
302C22×C19—21no—
303C22×C19—21no—
304C22×C19—21no—
305C22×C19—21no—
306C22×C19—22no—
307C22×C19—22no—
308C22×C19—22no—
309C22×C19—21no—
310C22×C19C2×#4112yes—
311C22×C19C2511yescharacteristic
312C2×D19—21no—
313C2×D19—21no—
314C2×D19—28no—
315C2×D19—21no—
316C2×D19—21no—
317C2×D19—22no—
318C2×D19—22no—
319C2×D19—22no—
320C2×D19—21no—
321C2×D19—44no—
322C2×D19—48no—
323C2×D19C2×#4112yes—
324C2×D19C2×#4112yes—
325C2×D19C2×#4112yes—
326C2×D19H(5,𝔽2)12yes—
327C4×C19—21no—
328C4×C19—21no—
329C4×C19—22no—
330C4×C19—21no—
331C4×C19—21no—
332C4×C19—22no—
333C4×C19—22no—
334C4×C19C2×#4112yes—
335Dic19—21no—
336Dic19—21no—
337Dic19—21no—
338Dic19—22no—
339Dic19—21no—
340Dic19—22no—
341Dic19—22no—
342Dic19C2×#4112yes—
343#553—192no—
344#553—191no—
345#553—192no—
346#553—192no—
347#553—191no—
348#553—191no—
349#553—191no—
350#553—192no—
351#553—191no—
352#553—191no—
353#553—191no—
354#553D1911yescharacteristic, direct product factor
355C2×#126—192no—
356C2×#125—191no—
357C2×#123—192no—
358C2×#121—192no—
359C2×#121—191no—
360C2×#121—191no—
361C2×C4×D4—192no—
362C2×C4×D4—191no—
363C2×C4×D4—191no—
364C2×#117—191no—
365C22×C4⋊C4—191no—
366C2×C19—22no—
367C2×C19—41no—
368C2×C19—42no—
369C2×C19C22×#4111yescharacteristic
370C2×C19C22×#4111yescharacteristic
371C2×C19C2×H(5,𝔽2)11yescharacteristic
372D19—22no—
373D19—41no—
374D19—42no—
375D19#55314yesdirect product factor
376C22×D4—191no—
377C22×D4—192no—
378C22×D4—191no—
379C22×D4—192no—
380C23×C4—191no—
381C23×C4—191no—
382C23×C4—192no—
383C23×C4—192no—
384#126—192no—
385#126—192no—
386#126—192no—
387#126—192no—
388#126—192no—
389#126—192no—
390#126—192no—
391#126C2×D1912yescomplemented
392#125—192no—
393#125—192no—
394#125—191no—
395#125—191no—
396#125—191no—
397#125C2×D1911yescharacteristic, complemented
398#123—192no—
399#123—192no—
400#123—192no—
401#123—192no—
402#123—192no—
403#123—192no—
404#123—192no—
405#123C2×D1912yescomplemented
406#121—192no—
407#121—191no—
408#121—191no—
409#121—192no—
410#121—192no—
411#121—192no—
412#121—192no—
413#121—192no—
414#121—191no—
415#121—191no—
416#121—192no—
417#121—191no—
418#121—191no—
419#121—192no—
420#121—192no—
421#121—192no—
422#121—192no—
423#121C2×D1912yescomplemented
424#121C2×D1911yescharacteristic, complemented
425#121C2×D1911yescharacteristic, complemented
426C4×D4—192no—
427C4×D4—191no—
428C4×D4—191no—
429C4×D4—192no—
430C4×D4—192no—
431C4×D4—191no—
432C4×D4—192no—
433C4×D4—191no—
434C4×D4—192no—
435C4×D4—191no—
436C4×D4—191no—
437C4×D4—192no—
438C4×D4—192no—
439C4×D4—191no—
440C4×D4—192no—
441C4×D4—191no—
442C4×D4—192no—
443C4×D4—191no—
444C4×D4—191no—
445C4×D4C2×D1912yescomplemented
446C4×D4C2×D1911yescharacteristic, complemented
447C4×D4C2×D1911yescharacteristic, complemented
448#117—191no—
449#117—191no—
450#117—191no—
451#117—192no—
452#117—192no—
453#117C2×D1911yescharacteristic, complemented
454C2×C4⋊C4—192no—
455C2×C4⋊C4—191no—
456C2×C4⋊C4—191no—
457C2×C4⋊C4—191no—
458C2×C4⋊C4—192no—
459C2×C4⋊C4—192no—
460C2×C4⋊C4—191no—
461C2×C4⋊C4—191no—
462C2×C4⋊C4—191no—
463C2×C4⋊C4—192no—
464C2×C4⋊C4—191no—
465C2×C4⋊C4—192no—
466C2×C4⋊C4C2×D1911yescharacteristic, complemented
467C2×C22⋊C4—192no—
468C2×C22⋊C4—191no—
469C2×C22⋊C4—192no—
470C2×C22⋊C4—192no—
471C2×C22⋊C4—191no—
472C2×C22⋊C4—192no—
473C2×C42—192no—
474C2×C42—191no—
475C19C2×#55311yescharacteristic, complemented, Sylow
476C24—191no—
477C24—191no—
478C24—192no—
479C2×D4—192no—
480C2×D4—192no—
481C2×D4—191no—
482C2×D4—192no—
483C2×D4—191no—
484C2×D4—192no—
485C2×D4—192no—
486C2×D4—192no—
487C2×D4—191no—
488C2×D4—191no—
489C2×D4—192no—
490C2×D4—384no—
491C2×D4—388no—
492C2×D4—384no—
493C2×D4—764no—
494C2×D4C22×D1912yes—
495C2×D4C22×D1911yescharacteristic
496C2×D4C22×D1911yescharacteristic
497C2×D4C22×D1912yes—
498C22×C4—191no—
499C22×C4—191no—
500C22×C4—191no—
501C22×C4—192no—
502C22×C4—192no—
503C22×C4—191no—
504C22×C4—192no—
505C22×C4—191no—
506C22×C4—192no—
507C22×C4—191no—
508C22×C4—191no—
509C22×C4—192no—
510C22×C4—191no—
511C22×C4—191no—
512C22×C4—191no—
513C22×C4—191no—
514C22×C4—192no—
515C22×C4—192no—
516C22×C4—192no—
517C22×C4—192no—
518C22×C4—384no—
519C22×C4—384no—
520C22×C4—764no—
521C22×C4—764no—
522C22×C4C22×D1911yescharacteristic
523C22×C4C22×D1911yescharacteristic
524C22×C4C22×D1912yes—
525C22×C4C22×D1912yes—
526C4⋊C4—192no—
527C4⋊C4—192no—
528C4⋊C4—192no—
529C4⋊C4—192no—
530C4⋊C4—192no—
531C4⋊C4—192no—
532C4⋊C4—192no—
533C4⋊C4—191no—
534C4⋊C4—191no—
535C4⋊C4—192no—
536C4⋊C4—192no—
537C4⋊C4—191no—
538C4⋊C4—191no—
539C4⋊C4—192no—
540C4⋊C4—191no—
541C4⋊C4—192no—
542C4⋊C4—191no—
543C4⋊C4—192no—
544C4⋊C4C22×D1911yescharacteristic
545C4⋊C4C22×D1911yescharacteristic
546C4⋊C4C22×D1912yes—
547C4⋊C4C22×D1911yescharacteristic
548C4⋊C4C22×D1912yes—
549C4⋊C4C22×D1911yescharacteristic
550C4⋊C4C22×D1912yes—
551C22⋊C4—192no—
552C22⋊C4—191no—
553C22⋊C4—192no—
554C22⋊C4—192no—
555C22⋊C4—191no—
556C22⋊C4—192no—
557C22⋊C4—192no—
558C22⋊C4—192no—
559C22⋊C4—191no—
560C22⋊C4—191no—
561C22⋊C4—192no—
562C22⋊C4—192no—
563C22⋊C4—192no—
564C22⋊C4—192no—
565C22⋊C4—191no—
566C22⋊C4—191no—
567C22⋊C4—192no—
568C22⋊C4—192no—
569C22⋊C4C22×D1912yes—
570C22⋊C4C22×D1911yescharacteristic
571C22⋊C4C22×D1912yes—
572C22⋊C4C22×D1912yes—
573C22⋊C4C22×D1911yescharacteristic
574C22⋊C4C22×D1912yes—
575C42—192no—
576C42—192no—
577C42—192no—
578C42—191no—
579C42—191no—
580C42—191no—
581C42C22×D1912yes—
582C42C22×D1911yescharacteristic
583C23—191no—
584C23—194no—
585C23—191no—
586C23—191no—
587C23—192no—
588C23—382no—
589C23—382no—
590C23—382no—
591C23—384no—
592C23—384no—
593C23—382no—
594C23—384no—
595C23—382no—
596C23C23×D1911yescharacteristic
597C23C23×D1912yes—
598C23C23×D1911yescharacteristic
599D4—24no—
600D4—22no—
601D4—22no—
602D4—42no—
603D4—384no—
604D4—382no—
605D4—384no—
606D4—384no—
607D4—382no—
608D4—384no—
609D4—382no—
610D4—382no—
611D4—762no—
612D4—762no—
613D4—762no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—191no—
619C2×C4—194no—
620C2×C4—191no—
621C2×C4—192no—
622C2×C4—191no—
623C2×C4—192no—
624C2×C4—191no—
625C2×C4—191no—
626C2×C4—192no—
627C2×C4—382no—
628C2×C4—382no—
629C2×C4—382no—
630C2×C4—382no—
631C2×C4—384no—
632C2×C4—382no—
633C2×C4—384no—
634C2×C4—384no—
635C2×C4—382no—
636C2×C4—382no—
637C2×C4—382no—
638C2×C4—382no—
639C2×C4—382no—
640C2×C4—762no—
641C2×C4—762no—
642C2×C4—762no—
643C2×C4—762no—
644C2×C4—762no—
645C2×C4—762no—
646C2×C4C23×D1911yescharacteristic
647C2×C4C23×D1912yes—
648C2×C4C23×D1911yescharacteristic
649C2×C4C23×D1912yes—
650C2×C4C23×D1911yescharacteristic
651C2×C4C23×D1911yescharacteristic
652C2×C4C23×D1912yes—
653C2×C4C23×D1911yescharacteristic
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—21no—
662C22—192no—
663C22—192no—
664C22—192no—
665C22—192no—
666C22—388no—
667C22—381no—
668C22—381no—
669C22—381no—
670C22—381no—
671C22—382no—
672C22—382no—
673C22—382no—
674C22—381no—
675C22—764no—
676C22—768no—
677C22#41×D1912yes—
678C22C24×D1911yescharacteristic
679C4—21no—
680C4—21no—
681C4—22no—
682C4—21no—
683C4—21no—
684C4—22no—
685C4—22no—
686C4—192no—
687C4—381no—
688C4—381no—
689C4—382no—
690C4—381no—
691C4—382no—
692C4—381no—
693C4—382no—
694C4#41×D1912yes—
695C2—22no—
696C2—41no—
697C2—42no—
698C2—194no—
699C2—382no—
700C2—761no—
701C2—762no—
702C2C2×#41×D1911yescharacteristic
703C2C2×#41×D1911yescharacteristic
704C2H(5,𝔽2)×D1911yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#553C2
hypercenter#553D19
hypocenterC19C2×#553
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #553

Complements

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

NH ≅ G/Ntype
1. #11927247C2semidirect
2. #11927246C2semidirect
3. #11927245C2semidirect
4. #11927244C2semidirect
5. #11927243C2semidirect
6. #11927242C2semidirect
7. #11927241C2semidirect
8. #11927240C2semidirect
9. #11927239C2semidirect
10. #11927238C2semidirect
11. #11927237C2semidirect
12. #126×D19C2semidirect
13. #125×D19C2semidirect
14. #123×D19C2semidirect
15. #121×D19C2semidirect
16. #121×D19C2semidirect
17. #121×D19C2semidirect
18. C4×D4×D19C2semidirect
19. C4×D4×D19C2semidirect
20. C4×D4×D19C2semidirect
21. #117×D19C2semidirect
22. C2×C4⋊C4×D19C2semidirect
23. C19×#553C2semidirect
32. C19×#126C22semidirect
33. C19×#125C22semidirect
34. C19×#123C22semidirect
35. C19×#121C22semidirect
36. C19×#121C22semidirect
37. C19×#121C22semidirect
38. C4×D4×C19C22semidirect
39. C4×D4×C19C22semidirect
40. C4×D4×C19C22semidirect
41. C19×#117C22semidirect
42. C2×C4⋊C4×C19C22semidirect
43. #10597385C22semidirect
44. #10597385C22semidirect
45. #10597385C22semidirect
46. #10597385C22semidirect
47. #10597384C22semidirect
48. #10597384C22semidirect
49. #10597384C22semidirect
50. #10597381C22semidirect
51. D4×Dic19C22semidirect
52. D4×Dic19C22semidirect
53. D4×Dic19C22semidirect
54. #10597376C22semidirect
55. #10597376C22semidirect
56. #10597376C22semidirect
57. #10597375C22semidirect
58. C4×C22⋊D19C22semidirect
59. C4×C22⋊D19C22semidirect
60. C4×C22⋊D19C22semidirect
61. C4×C22⋊D19C22semidirect
62. C4×C22⋊D19C22semidirect
63. #10597372C22semidirect
64. C2×C4⋊Dic19C22semidirect
65. C2×Dic19⋊C4C22semidirect
66. #10597344C22semidirect
67. #10597344C22semidirect
68. #10597344C22semidirect
69. #10597341C22semidirect
70. #10597341C22semidirect
71. #10597341C22semidirect
72. #10597340C22semidirect
73. #10597340C22semidirect
74. #10597339C22semidirect
75. #10597339C22semidirect
76. #10597339C22semidirect
77. #10597338C22semidirect
78. #10597338C22semidirect
86. C4⋊C4×D19C22semidirect
87. C4⋊C4×D19C22semidirect
88. C4⋊C4×D19C22semidirect
89. #10597336C22semidirect
90. #10597336C22semidirect
91. #10597335C22semidirect
92. #10597335C22semidirect
93. #10597332C22semidirect
94. #10597330C22semidirect
95. #10597330C22semidirect
96. #10597330C22semidirect
97. #10597330C22semidirect
98. #10597329C22semidirect
99. #10597329C22semidirect
100. (C22⋊D19)⋊C4C22semidirect
101. (C22⋊D19)⋊C4C22semidirect
102. (C22⋊D19)⋊C4C22semidirect
103. (C22⋊D19)⋊C4C22semidirect
104. (C22⋊D19)⋊C4C22semidirect
111. #10597325C22semidirect
112. #10597325C22semidirect
113. #10597325C22semidirect
114. #10597323C22semidirect
115. #10597322C22semidirect
116. C4×D76C22semidirect
117. C4×D76C22semidirect
118. C4×D76C22semidirect
119. #10597318C22semidirect
122. #10597316C22semidirect
354. #553D19direct (N × H)
375. D19#553direct (N × H)
391. #126C2×D19semidirect
397. #125C2×D19semidirect
405. #123C2×D19semidirect
423. #121C2×D19semidirect
424. #121C2×D19semidirect
425. #121C2×D19semidirect
445. C4×D4C2×D19semidirect
446. C4×D4C2×D19semidirect
447. C4×D4C2×D19semidirect
453. #117C2×D19semidirect
466. C2×C4⋊C4C2×D19semidirect
475. C19C2×#553semidirect

Maximal subgroups

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

subgroupindex
#119272472
#119272462
#119272452
#119272442
#119272432
#119272422
#119272412
#119272402
#119272392
#119272382
#119272372
#126×D192
#125×D192
#123×D192
#121×D192
C4×D4×D192
#117×D192
C2×C4⋊C4×D192
C19×#5532
C2×#55319