Finite Group Databasebeta

← #14577940

Subgroups — #14577940

Order 2432.

1160 conjugacy classes of subgroups.

The subgroup lattice has 1080 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11927291C211yesmaximal, characteristic, complemented
2#11927289C211yesmaximal, characteristic, complemented
3#11927282C211yesmaximal, characteristic, complemented
4#11927258C211yesmaximal, characteristic, complemented
5#11927237C211yesmaximal, characteristic, complemented
6#11927230C211yesmaximal, characteristic, complemented
7#11927219C211yesmaximal, characteristic, complemented
8#11927217C211yesmaximal, characteristic, complemented
9#11927214C211yesmaximal, characteristic, complemented
10#11927192C211yesmaximal, characteristic, complemented
11#11927191C211yesmaximal, characteristic, complemented
12#11927183C211yesmaximal, characteristic, complemented
13#11927181C211yesmaximal, characteristic, complemented
14#11927181C211yesmaximal, characteristic, complemented
15#11927176C211yesmaximal, characteristic, complemented
16#11927160C211yesmaximal, characteristic, complemented
17#11927147C211yesmaximal, characteristic, complemented
18#11927146C211yesmaximal, characteristic, complemented
19#11927146C211yesmaximal, characteristic, complemented
20#11927133C211yesmaximal, characteristic, complemented
21#11927129C211yesmaximal, characteristic, complemented
22#11927121C211yesmaximal, characteristic, complemented
23#11927110C211yesmaximal, characteristic, complemented
24#11927109C211yesmaximal, characteristic, complemented
25#11927107C211yesmaximal, characteristic, complemented
26#11927104C211yesmaximal, characteristic, complemented
27#11927102C211yesmaximal, characteristic, complemented
28#11927054C211yesmaximal, characteristic, complemented
29#11927052C211yesmaximal, characteristic, complemented
30#121×D19C211yesmaximal, characteristic, complemented
31C19×#560C211yesmaximal, characteristic, complemented
32C22×C22⋊D19C2211yescharacteristic
33C22×C22⋊D19C2211yescharacteristic, complemented
34C2×#64543C2211yescharacteristic, complemented
35C2×#64543C2211yescharacteristic, complemented
36C2×#64543C2211yescharacteristic, complemented
37C2×#64543C2211yescharacteristic, complemented
38C2×D4×D19C2211yescharacteristic
39C2×D4×D19C2211yescharacteristic
40C2×D4×D19C2211yescharacteristic, complemented
41C2×D4×D19C2211yescharacteristic, complemented
42C2×#64541C2211yescharacteristic, complemented
43C22×C4×D19C2211yescharacteristic, complemented
44C19×#127C2211yescharacteristic, complemented
45C19×#126C2211yescharacteristic, complemented
46C19×#126C2211yescharacteristic, complemented
47C19×#123C2211yescharacteristic, complemented
48C19×#123C2211yescharacteristic, complemented
49C19×#123C2211yescharacteristic, complemented
50C19×#121C2211yescharacteristic, complemented
51C19×#121C2211yescharacteristic, complemented
52C19×#121C2211yescharacteristic, complemented
53C19×#121C2211yescharacteristic, complemented
54C19×#121C2211yescharacteristic, complemented
55C19×#121C2211yescharacteristic, complemented
56C19×#120C2211yescharacteristic, complemented
57C19×#120C2211yescharacteristic, complemented
58C19×#120C2211yescharacteristic, complemented
59#10597399C2211yescharacteristic, complemented
60C2×C22⋊Dic19C2211yescharacteristic, complemented
61#10597386C2211yescharacteristic, complemented
62#10597386C2211yescharacteristic, complemented
63#10597386C2211yescharacteristic, complemented
64#10597386C2211yescharacteristic, complemented
65#10597385C2211yescharacteristic
66#10597385C2211yescharacteristic, complemented
67#10597385C2211yescharacteristic, complemented
68#10597385C2211yescharacteristic, complemented
69#10597385C2211yescharacteristic, complemented
70#10597385C2211yescharacteristic, complemented
71#10597385C2211yescharacteristic, complemented
72#10597385C2211yescharacteristic, complemented
73#10597385C2211yescharacteristic, complemented
74#10597385C2211yescharacteristic, complemented
75#10597385C2211yescharacteristic, complemented
76#10597385C2211yescharacteristic, complemented
77#10597385C2211yescharacteristic, complemented
78#10597385C2211yescharacteristic, complemented
79#10597384C2211yescharacteristic
80#10597384C2211yescharacteristic, complemented
81#10597384C2211yescharacteristic, complemented
82#10597384C2211yescharacteristic, complemented
83#10597384C2211yescharacteristic, complemented
84#10597384C2211yescharacteristic, complemented
85#10597383C2211yescharacteristic
86#10597383C2211yescharacteristic
87#10597383C2211yescharacteristic, complemented
88#10597383C2211yescharacteristic, complemented
89#10597383C2211yescharacteristic, complemented
90#10597383C2211yescharacteristic, complemented
91#10597383C2211yescharacteristic, complemented
92#10597383C2211yescharacteristic, complemented
93#10597382C2211yescharacteristic, complemented
94#10597382C2211yescharacteristic, complemented
95#10597381C2211yescharacteristic, complemented
96#10597381C2211yescharacteristic, complemented
97D4×Dic19C2211yescharacteristic, complemented
98D4×Dic19C2211yescharacteristic, complemented
99D4×Dic19C2211yescharacteristic, complemented
100D4×Dic19C2211yescharacteristic, complemented
101#10597376C2211yescharacteristic, complemented
102#10597376C2211yescharacteristic, complemented
103#10597376C2211yescharacteristic, complemented
104#10597375C2211yescharacteristic, complemented
105C4×C22⋊D19C2211yescharacteristic, complemented
106C4×C22⋊D19C2211yescharacteristic, complemented
107C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
108#10597372C2211yescharacteristic, complemented
109#10597370C2211yescharacteristic, complemented
110C2×Dic19⋊C4C2211yescharacteristic, complemented
111#10597344C2211yescharacteristic, complemented
112#10597344C2211yescharacteristic, complemented
113#10597343C2211yescharacteristic, complemented
114#10597343C2211yescharacteristic, complemented
115#10597342C2211yescharacteristic, complemented
116#10597342C2211yescharacteristic, complemented
117#10597342C2211yescharacteristic, complemented
118#10597342C2211yescharacteristic, complemented
119#10597341C2211yescharacteristic, complemented
120#10597341C2211yescharacteristic, complemented
121#10597340C2211yescharacteristic, complemented
122#10597340C2211yescharacteristic, complemented
123#10597340C2211yescharacteristic, complemented
124#10597340C2211yescharacteristic, complemented
125#10597339C2211yescharacteristic, complemented
126#10597339C2211yescharacteristic, complemented
127#10597338C2211yescharacteristic, complemented
128#10597338C2211yescharacteristic, complemented
129#10597338C2211yescharacteristic, complemented
130C4⋊C4×D19C2211yescharacteristic, complemented
131#10597336C2211yescharacteristic, complemented
132#10597335C2211yescharacteristic, complemented
133#10597335C2211yescharacteristic, complemented
134#10597334C2211yescharacteristic, complemented
135#10597332C2211yescharacteristic, complemented
136#10597332C2211yescharacteristic, complemented
137#10597332C2211yescharacteristic, complemented
138#10597332C2211yescharacteristic, complemented
139#10597331C2211yescharacteristic, complemented
140#10597331C2211yescharacteristic, complemented
141#10597331C2211yescharacteristic, complemented
142#10597331C2211yescharacteristic, complemented
143#10597331C2211yescharacteristic, complemented
144#10597331C2211yescharacteristic, complemented
145#10597330C2211yescharacteristic
146#10597330C2211yescharacteristic
147#10597330C2211yescharacteristic, complemented
148#10597330C2211yescharacteristic, complemented
149#10597330C2211yescharacteristic, complemented
150#10597330C2211yescharacteristic, complemented
151#10597330C2211yescharacteristic, complemented
152#10597330C2211yescharacteristic, complemented
153#10597329C2211yescharacteristic
154#10597329C2211yescharacteristic
155#10597329C2211yescharacteristic, complemented
156#10597329C2211yescharacteristic, complemented
157#10597329C2211yescharacteristic, complemented
158#10597329C2211yescharacteristic, complemented
159#10597329C2211yescharacteristic, complemented
160#10597329C2211yescharacteristic, complemented
161#10597328C2211yescharacteristic
162#10597328C2211yescharacteristic, complemented
163#10597328C2211yescharacteristic, complemented
164#10597328C2211yescharacteristic, complemented
165(C22⋊D19)⋊C4C2211yescharacteristic
166(C22⋊D19)⋊C4C2211yescharacteristic, complemented
167(C22⋊D19)⋊C4C2211yescharacteristic, complemented
168(C22⋊D19)⋊C4C2211yescharacteristic, complemented
169(C22⋊D19)⋊C4C2211yescharacteristic, complemented
170(C22⋊D19)⋊C4C2211yescharacteristic, complemented
171C22⋊C4×D19C2211yescharacteristic, complemented
172C22⋊C4×D19C2211yescharacteristic, complemented
173C22⋊C4×D19C2211yescharacteristic, complemented
174C22⋊C4×D19C2211yescharacteristic, complemented
175#10597325C2211yescharacteristic, complemented
176#10597325C2211yescharacteristic, complemented
177#10597324C2211yescharacteristic, complemented
178#10597324C2211yescharacteristic, complemented
179#10597324C2211yescharacteristic, complemented
180#10597324C2211yescharacteristic, complemented
181#10597323C2211yescharacteristic, complemented
182#10597323C2211yescharacteristic, complemented
183#10597321C2211yescharacteristic, complemented
184C4×D76C2211yescharacteristic, complemented
185#10597318C2211yescharacteristic, complemented
186C4×Dic38C2211yescharacteristic, complemented
187C24×C19C2311yescharacteristic
188C23×D19C2311yescharacteristic
189C23×D19C2311yescharacteristic
190C23×D19C2311yescharacteristic
191C23×D19C2311yescharacteristic
192C2×D4×C19C2311yescharacteristic
193C2×D4×C19C2311yescharacteristic
194C2×D4×C19C2311yescharacteristic
195C2×D4×C19C2311yescharacteristic
196C2×D4×C19C2311yescharacteristic
197C2×D4×C19C2311yescharacteristic
198C2×D4×C19C2311yescharacteristic
199C2×D4×C19C2311yescharacteristic
200C2×D4×C19C2311yescharacteristic
201C2×D4×C19C2311yescharacteristic
202C2×D4×C19C2311yescharacteristic
203C2×D4×C19C2311yescharacteristic
204C22×C4×C19C2311yescharacteristic
205C22×C4×C19C2311yescharacteristic
206C22×C4×C19C2311yescharacteristic
207C2×C22⋊D19—42no—
208C2×C22⋊D19—42no—
209C2×C22⋊D19C2311yescharacteristic
210C2×C22⋊D19C2311yescharacteristic
211C2×C22⋊D19C2311yescharacteristic
212C2×C22⋊D19C2311yescharacteristic
213C2×C22⋊D19C2311yescharacteristic
214C2×C22⋊D19C2311yescharacteristic
215C2×C22⋊D19C2311yescharacteristic
216C2×C22⋊D19C2311yescharacteristic
217C2×C22⋊D19C2311yescharacteristic
218C2×C22⋊D19C2311yescharacteristic
219C2×C22⋊D19C2311yescharacteristic
220C2×C22⋊D19C2311yescharacteristic
221C2×C22⋊D19C2311yescharacteristic
222C2×C22⋊D19C2311yescharacteristic
223C2×C22⋊D19C2311yescharacteristic
224C2×C22⋊D19C2311yescharacteristic
225C2×C22⋊D19C2311yescharacteristic
226C2×C22⋊D19C2311yescharacteristic
227C2×C22⋊D19C2311yescharacteristic
228C2×C22⋊D19C2311yescharacteristic
229C2×C22⋊D19C2311yescharacteristic
230C2×C22⋊D19C2311yescharacteristic
231C22×Dic19C2311yescharacteristic
232C22×Dic19C2311yescharacteristic
233C22×Dic19C2311yescharacteristic
234C22×Dic19C2311yescharacteristic
235C22×Dic19C2311yescharacteristic
236C22×Dic19C2311yescharacteristic
237C22×Dic19C2311yescharacteristic
238C22×Dic19C2311yescharacteristic
239#64543—42no—
240#64543—42no—
241#64543—42no—
242#64543—42no—
243D4×D19—42no—
244D4×D19—42no—
245D4×D19—42no—
246D4×D19—42no—
247#64541—42no—
248C2×D76C2311yescharacteristic
249C2×D76C2311yescharacteristic
250C2×D76C2311yescharacteristic
251C2×D76C2311yescharacteristic
252C2×D76C2311yescharacteristic
253C2×D76C2311yescharacteristic
254C2×C4×D19—42no—
255C2×C4×D19C2311yescharacteristic
256C2×C4×D19C2311yescharacteristic
257C2×C4×D19C2311yescharacteristic
258C2×C4×D19C2311yescharacteristic
259C2×C4×D19C2311yescharacteristic
260C2×C4×D19C2311yescharacteristic
261C2×C4×D19C2311yescharacteristic
262C2×C4×D19C2311yescharacteristic
263C2×C4×D19C2311yescharacteristic
264C2×C4×D19C2311yescharacteristic
265C2×C4×D19C2311yescharacteristic
266C2×Dic38C2311yescharacteristic
267C2×Dic38C2311yescharacteristic
268C2×Dic38C2311yescharacteristic
269C2×Dic38C2311yescharacteristic
270C4⋊C4×C19C2311yescharacteristic
271C4⋊C4×C19C2311yescharacteristic
272C4⋊C4×C19C2311yescharacteristic
273C4⋊C4×C19C2311yescharacteristic
274C4⋊C4×C19C2311yescharacteristic
275C4⋊C4×C19C2311yescharacteristic
276C22⋊C4×C19C2311yescharacteristic
277C22⋊C4×C19C2311yescharacteristic
278C22⋊C4×C19C2311yescharacteristic
279C22⋊C4×C19C2311yescharacteristic
280C22⋊C4×C19C2311yescharacteristic
281C22⋊C4×C19C2311yescharacteristic
282C22⋊C4×C19C2311yescharacteristic
283C22⋊C4×C19C2311yescharacteristic
284C22⋊C4×C19C2311yescharacteristic
285C22⋊C4×C19C2311yescharacteristic
286C22⋊C4×C19C2311yescharacteristic
287C22⋊C4×C19C2311yescharacteristic
288C42×C19C2311yescharacteristic
289C22⋊Dic19C2311yescharacteristic
290C22⋊Dic19C2311yescharacteristic
291C22⋊Dic19C2311yescharacteristic
292C22⋊Dic19C2311yescharacteristic
293C22⋊Dic19C2311yescharacteristic
294C22⋊Dic19C2311yescharacteristic
295C22⋊Dic19C2311yescharacteristic
296C22⋊Dic19C2311yescharacteristic
297C22⋊Dic19C2311yescharacteristic
298C22⋊Dic19C2311yescharacteristic
299C22⋊Dic19C2311yescharacteristic
300C22⋊Dic19C2311yescharacteristic
301C22⋊Dic19C2311yescharacteristic
302C22⋊Dic19C2311yescharacteristic
303(C2×D19)⋊C4C2311yescharacteristic
304(C2×D19)⋊C4C2311yescharacteristic
305(C2×D19)⋊C4C2311yescharacteristic
306(C2×D19)⋊C4C2311yescharacteristic
307(C2×D19)⋊C4C2311yescharacteristic
308(C2×D19)⋊C4C2311yescharacteristic
309(C2×D19)⋊C4C2311yescharacteristic
310(C2×D19)⋊C4C2311yescharacteristic
311(C2×D19)⋊C4C2311yescharacteristic
312(C2×D19)⋊C4C2311yescharacteristic
313(C2×D19)⋊C4C2311yescharacteristic
314(C2×D19)⋊C4C2311yescharacteristic
315(C2×D19)⋊C4C2311yescharacteristic
316(C2×D19)⋊C4C2311yescharacteristic
317(C2×D19)⋊C4C2311yescharacteristic
318(C2×D19)⋊C4C2311yescharacteristic
319(C2×D19)⋊C4C2311yescharacteristic
320(C2×D19)⋊C4C2311yescharacteristic
321(C2×D19)⋊C4C2311yescharacteristic
322(C2×D19)⋊C4C2311yescharacteristic
323(C2×D19)⋊C4C2311yescharacteristic
324(C2×D19)⋊C4C2311yescharacteristic
325C4⋊Dic19C2311yescharacteristic
326C4⋊Dic19C2311yescharacteristic
327C4⋊Dic19C2311yescharacteristic
328C4⋊Dic19C2311yescharacteristic
329C4⋊Dic19C2311yescharacteristic
330C4⋊Dic19C2311yescharacteristic
331C4⋊Dic19C2311yescharacteristic
332C4⋊Dic19C2311yescharacteristic
333Dic19⋊C4C2311yescharacteristic
334Dic19⋊C4C2311yescharacteristic
335Dic19⋊C4C2311yescharacteristic
336Dic19⋊C4C2311yescharacteristic
337Dic19⋊C4C2311yescharacteristic
338Dic19⋊C4C2311yescharacteristic
339Dic19⋊C4C2311yescharacteristic
340Dic19⋊C4C2311yescharacteristic
341Dic19⋊C4C2311yescharacteristic
342Dic19⋊C4C2311yescharacteristic
343Dic19⋊C4C2311yescharacteristic
344Dic19⋊C4C2311yescharacteristic
345Dic19⋊C4C2311yescharacteristic
346Dic19⋊C4C2311yescharacteristic
347C4×Dic19C2311yescharacteristic
348C4×Dic19C2311yescharacteristic
349C4×Dic19C2311yescharacteristic
350C4×Dic19C2311yescharacteristic
351C4×Dic19C2311yescharacteristic
352C4×Dic19C2311yescharacteristic
353C4×Dic19C2311yescharacteristic
354C23×C19—41no—
355C23×C19—41no—
356C23×C19—41no—
357C23×C19C2411yescharacteristic
358C23×C19C2411yescharacteristic
359C23×C19C2411yescharacteristic
360C23×C19C2411yescharacteristic
361C23×C19C2411yescharacteristic
362C23×C19C2411yescharacteristic
363C22×D19—22no—
364C22×D19—22no—
365C22×D19—22no—
366C22×D19—41no—
367C22×D19—41no—
368C22×D19—41no—
369C22×D19—41no—
370C22×D19—41no—
371C22×D19—41no—
372C22×D19—41no—
373C22×D19—41no—
374C22×D19—41no—
375C22×D19C2411yescharacteristic
376C22×D19C2411yescharacteristic
377C22×D19C2411yescharacteristic
378C22×D19C2411yescharacteristic
379C22×D19C2411yescharacteristic
380D4×C19—41no—
381D4×C19—41no—
382D4×C19—41no—
383D4×C19—41no—
384D4×C19—41no—
385D4×C19—41no—
386D4×C19—41no—
387D4×C19—41no—
388D4×C19—41no—
389D4×C19—41no—
390D4×C19—41no—
391D4×C19—41no—
392C2×C4×C19—41no—
393C2×C4×C19—41no—
394C2×C4×C19—41no—
395C2×C4×C19C2411yescharacteristic
396C2×C4×C19C2411yescharacteristic
397C2×C4×C19C2411yescharacteristic
398C2×C4×C19C2411yescharacteristic
399C2×C4×C19C2411yescharacteristic
400C2×C4×C19C2411yescharacteristic
401C2×C4×C19C2411yescharacteristic
402C2×C4×C19C2411yescharacteristic
403C2×C4×C19C2411yescharacteristic
404C22⋊D19—22no—
405C22⋊D19—22no—
406C22⋊D19—22no—
407C22⋊D19—22no—
408C22⋊D19—22no—
409C22⋊D19—22no—
410C22⋊D19—41no—
411C22⋊D19—41no—
412C22⋊D19—41no—
413C22⋊D19—41no—
414C22⋊D19—41no—
415C22⋊D19—41no—
416C22⋊D19—41no—
417C22⋊D19—41no—
418C22⋊D19—41no—
419C22⋊D19—41no—
420C22⋊D19—41no—
421C22⋊D19—41no—
422C22⋊D19—41no—
423C22⋊D19—41no—
424C22⋊D19—41no—
425C22⋊D19—41no—
426C2×Dic19—22no—
427C2×Dic19—22no—
428C2×Dic19—22no—
429C2×Dic19—41no—
430C2×Dic19—41no—
431C2×Dic19—41no—
432C2×Dic19—41no—
433C2×Dic19—41no—
434C2×Dic19C2411yescharacteristic
435C2×Dic19C2411yescharacteristic
436C2×Dic19C2411yescharacteristic
437C2×Dic19C2411yescharacteristic
438C2×Dic19C2411yescharacteristic
439C2×Dic19C2411yescharacteristic
440C2×Dic19C2411yescharacteristic
441C2×Dic19C2411yescharacteristic
442C2×Dic19C2411yescharacteristic
443C2×Dic19C2411yescharacteristic
444C2×Dic19C2411yescharacteristic
445D76—22no—
446D76—41no—
447D76—41no—
448D76—41no—
449D76—41no—
450D76—41no—
451C4×D19—22no—
452C4×D19—22no—
453C4×D19—22no—
454C4×D19—22no—
455C4×D19—41no—
456C4×D19—41no—
457C4×D19—41no—
458C4×D19—41no—
459C4×D19—41no—
460C4×D19—41no—
461C4×D19—41no—
462Dic38—22no—
463Dic38—41no—
464Dic38—41no—
465Dic38—41no—
466#3542—191nomaximal, Sylow
467C22×C19—21no—
468C22×C19—21no—
469C22×C19—21no—
470C22×C19—21no—
471C22×C19—21no—
472C22×C19—21no—
473C22×C19—21no—
474C22×C19—21no—
475C22×C19—21no—
476C22×C19—21no—
477C22×C19—21no—
478C22×C19—21no—
479C22×C19—21no—
480C22×C19—21no—
481C22×C19—21no—
482C22×C19—21no—
483C22×C19—21no—
484C22×C19—21no—
485C22×C19—82no—
486C22×C19C2511yescharacteristic
487C2×D19—21no—
488C2×D19—21no—
489C2×D19—21no—
490C2×D19—21no—
491C2×D19—21no—
492C2×D19—21no—
493C2×D19—21no—
494C2×D19—21no—
495C2×D19—21no—
496C2×D19—21no—
497C2×D19—21no—
498C2×D19—21no—
499C2×D19—21no—
500C2×D19—21no—
501C2×D19—44no—
502C2×D19—82no—
503C2×D19—82no—
504C2×D19—82no—
505C2×D19H(5,𝔽2)12yes—
506C4×C19—21no—
507C4×C19—21no—
508C4×C19—21no—
509C4×C19—21no—
510C4×C19—21no—
511C4×C19—21no—
512C4×C19—21no—
513C4×C19—21no—
514C4×C19—21no—
515Dic19—21no—
516Dic19—21no—
517Dic19—21no—
518Dic19—21no—
519Dic19—21no—
520Dic19—21no—
521Dic19—21no—
522Dic19—21no—
523Dic19—21no—
524Dic19—21no—
525Dic19H(5,𝔽2)12yes—
526#562—191no—
527#562—191no—
528#560—191no—
529#560D1911yescharacteristic, complemented
530#555—191no—
531#553—191no—
532#552—191no—
533#551—191no—
534#551—191no—
535#550—191no—
536#547—191no—
537#546—191no—
538#546—191no—
539#546—191no—
540#546—191no—
541D42—191no—
542#542—191no—
543#540—191no—
544#540—191no—
545#540—191no—
546#538—191no—
547#538—191no—
548#537—191no—
549#535—191no—
550#535—191no—
551#535—191no—
552#534—191no—
553#534—191no—
554#525—191no—
555#525—191no—
556C2×#121—191no—
557C2×C19—41no—
558C2×C19—41no—
559C2×C19—41no—
560C2×C19—41no—
561C2×C19—41no—
562C2×C19—41no—
563C2×C19C2×H(5,𝔽2)11yescharacteristic
564C2×C19C2×H(5,𝔽2)11yescharacteristic
565C2×C19#58511yescharacteristic
566D19—22no—
567D19—41no—
568D19—41no—
569D19—41no—
570D19—41no—
571C2×#41—191no—
572C2×#41—191no—
573C2×#41—191no—
574C2×#41—191no—
575C2×#41—191no—
576C22×D4—191no—
577C22×D4—191no—
578C22×D4—191no—
579C22×D4—191no—
580C22×D4—191no—
581C22×D4—191no—
582C23×C4—191no—
583C4⋊Q8—191no—
584#127—191no—
585#127—191no—
586#127—191no—
587#127—191no—
588#127C2×D1911yescharacteristic, complemented
589#126—191no—
590#126—191no—
591#126—191no—
592#126—191no—
593#126C2×D1911yescharacteristic, complemented
594#126C2×D1911yescharacteristic, complemented
595#125—191no—
596#125—191no—
597#125—191no—
598#124—191no—
599#124—191no—
600#124—191no—
601#124—191no—
602#124—191no—
603#124—191no—
604#124—191no—
605#124—191no—
606#124—191no—
607#123—191no—
608#123—191no—
609#123—191no—
610#123—191no—
611#123—191no—
612#123—191no—
613#123—191no—
614#123—191no—
615#123—191no—
616#123—191no—
617#123—191no—
618#123—191no—
619#123—191no—
620#123—191no—
621#123—191no—
622#123—191no—
623#123—191no—
624#123—191no—
625#123—191no—
626#123C2×D1911yescharacteristic, complemented
627#123C2×D1911yescharacteristic, complemented
628#123C2×D1911yescharacteristic, complemented
629C22⋊Q8—191no—
630C22⋊Q8—191no—
631C22⋊Q8—191no—
632C22⋊Q8—191no—
633C22⋊Q8—191no—
634C22⋊Q8—191no—
635C22⋊Q8—191no—
636C22⋊Q8—191no—
637C22⋊Q8—191no—
638C22⋊Q8—191no—
639C22⋊Q8—191no—
640#121—191no—
641#121—191no—
642#121—191no—
643#121—191no—
644#121—191no—
645#121—191no—
646#121—191no—
647#121—191no—
648#121—191no—
649#121—191no—
650#121—191no—
651#121—191no—
652#121—191no—
653#121—191no—
654#121—191no—
655#121—191no—
656#121—191no—
657#121—191no—
658#121—191no—
659#121—191no—
660#121—191no—
661#121—191no—
662#121—191no—
663#121—191no—
664#121—191no—
665#121—191no—
666#121—191no—
667#121—191no—
668#121—191no—
669#121—191no—
670#121—191no—
671#121—191no—
672#121—191no—
673#121C2×D1911yescharacteristic, complemented
674#121C2×D1911yescharacteristic, complemented
675#121C2×D1911yescharacteristic, complemented
676#121C2×D1911yescharacteristic, complemented
677#121C2×D1911yescharacteristic, complemented
678#121C2×D1911yescharacteristic, complemented
679#120—191no—
680#120—191no—
681#120—191no—
682#120—191no—
683#120—191no—
684#120—191no—
685#120—191no—
686#120—191no—
687#120—191no—
688#120—191no—
689#120—191no—
690#120—191no—
691#120—191no—
692#120C2×D1911yescharacteristic, complemented
693#120C2×D1911yescharacteristic, complemented
694#120C2×D1911yescharacteristic, complemented
695C4×Q8—191no—
696C4×D4—191no—
697C4×D4—191no—
698C4×D4—191no—
699C4×D4—191no—
700C4×D4—191no—
701C4×D4—191no—
702C4×D4—191no—
703C4×D4—191no—
704C4×D4—191no—
705C4×D4—191no—
706C4×D4—191no—
707C4×D4—191no—
708C4×D4—191no—
709C4×D4—191no—
710C4×D4—191no—
711#117—191no—
712#117—191no—
713#117—191no—
714#117—191no—
715#117—191no—
716#117—191no—
717#117—191no—
718C2×C4⋊C4—191no—
719C2×C4⋊C4—191no—
720C2×C22⋊C4—191no—
721C2×C22⋊C4—191no—
722C2×C22⋊C4—191no—
723C2×C22⋊C4—191no—
724C2×C22⋊C4—191no—
725C2×C22⋊C4—191no—
726C19#354211yescharacteristic, complemented, Sylow
727C24—191no—
728C24—191no—
729C24—191no—
730C24—191no—
731C24C22×D1911yescharacteristic
732#41—762no—
733#41—762no—
734#41—762no—
735#41—762no—
736#41—762no—
737C2×Q8—191no—
738C2×Q8—191no—
739C2×Q8—191no—
740C2×Q8—191no—
741C2×D4—191no—
742C2×D4—191no—
743C2×D4—191no—
744C2×D4—191no—
745C2×D4—191no—
746C2×D4—191no—
747C2×D4—191no—
748C2×D4—191no—
749C2×D4—191no—
750C2×D4—191no—
751C2×D4—191no—
752C2×D4—191no—
753C2×D4—191no—
754C2×D4—191no—
755C2×D4—191no—
756C2×D4—191no—
757C2×D4—191no—
758C2×D4—191no—
759C2×D4—191no—
760C2×D4—191no—
761C2×D4—191no—
762C2×D4—191no—
763C2×D4—191no—
764C2×D4—191no—
765C2×D4—191no—
766C2×D4—191no—
767C2×D4—191no—
768C2×D4—191no—
769C2×D4—762no—
770C2×D4—762no—
771C2×D4—762no—
772C2×D4—762no—
773C2×D4—762no—
774C2×D4—762no—
775C2×D4C22×D1911yescharacteristic
776C2×D4C22×D1911yescharacteristic
777C2×D4C22×D1911yescharacteristic
778C2×D4C22×D1911yescharacteristic
779C2×D4C22×D1911yescharacteristic
780C2×D4C22×D1911yescharacteristic
781C2×D4C22×D1911yescharacteristic
782C2×D4C22×D1911yescharacteristic
783C2×D4C22×D1911yescharacteristic
784C2×D4C22×D1911yescharacteristic
785C2×D4C22×D1911yescharacteristic
786C2×D4C22×D1911yescharacteristic
787C22×C4—191no—
788C22×C4—191no—
789C22×C4—191no—
790C22×C4—191no—
791C22×C4—191no—
792C22×C4—191no—
793C22×C4—191no—
794C22×C4—191no—
795C22×C4—191no—
796C22×C4—191no—
797C22×C4—191no—
798C22×C4—191no—
799C22×C4—191no—
800C22×C4—191no—
801C22×C4—191no—
802C22×C4—191no—
803C22×C4—191no—
804C22×C4—191no—
805C22×C4—191no—
806C22×C4—762no—
807C22×C4C22×D1911yescharacteristic
808C22×C4C22×D1911yescharacteristic
809C22×C4C22×D1911yescharacteristic
810C4⋊C4—191no—
811C4⋊C4—191no—
812C4⋊C4—191no—
813C4⋊C4—191no—
814C4⋊C4—191no—
815C4⋊C4—191no—
816C4⋊C4—191no—
817C4⋊C4—191no—
818C4⋊C4—191no—
819C4⋊C4—191no—
820C4⋊C4—191no—
821C4⋊C4—191no—
822C4⋊C4—191no—
823C4⋊C4—191no—
824C4⋊C4—191no—
825C4⋊C4—191no—
826C4⋊C4—191no—
827C4⋊C4—191no—
828C4⋊C4—191no—
829C4⋊C4—191no—
830C4⋊C4—191no—
831C4⋊C4—191no—
832C4⋊C4C22×D1911yescharacteristic
833C4⋊C4C22×D1911yescharacteristic
834C4⋊C4C22×D1911yescharacteristic
835C4⋊C4C22×D1911yescharacteristic
836C4⋊C4C22×D1911yescharacteristic
837C4⋊C4C22×D1911yescharacteristic
838C22⋊C4—191no—
839C22⋊C4—191no—
840C22⋊C4—191no—
841C22⋊C4—191no—
842C22⋊C4—191no—
843C22⋊C4—191no—
844C22⋊C4—191no—
845C22⋊C4—191no—
846C22⋊C4—191no—
847C22⋊C4—191no—
848C22⋊C4—191no—
849C22⋊C4—191no—
850C22⋊C4—191no—
851C22⋊C4—191no—
852C22⋊C4—191no—
853C22⋊C4—191no—
854C22⋊C4—191no—
855C22⋊C4—191no—
856C22⋊C4—191no—
857C22⋊C4—191no—
858C22⋊C4—191no—
859C22⋊C4—191no—
860C22⋊C4—191no—
861C22⋊C4—191no—
862C22⋊C4—191no—
863C22⋊C4—191no—
864C22⋊C4—191no—
865C22⋊C4—191no—
866C22⋊C4—191no—
867C22⋊C4—191no—
868C22⋊C4—191no—
869C22⋊C4—191no—
870C22⋊C4—191no—
871C22⋊C4—191no—
872C22⋊C4—191no—
873C22⋊C4—191no—
874C22⋊C4C22×D1911yescharacteristic
875C22⋊C4C22×D1911yescharacteristic
876C22⋊C4C22×D1911yescharacteristic
877C22⋊C4C22×D1911yescharacteristic
878C22⋊C4C22×D1911yescharacteristic
879C22⋊C4C22×D1911yescharacteristic
880C22⋊C4C22×D1911yescharacteristic
881C22⋊C4C22×D1911yescharacteristic
882C22⋊C4C22×D1911yescharacteristic
883C22⋊C4C22×D1911yescharacteristic
884C22⋊C4C22×D1911yescharacteristic
885C22⋊C4C22×D1911yescharacteristic
886C42—191no—
887C42—191no—
888C42—191no—
889C42—191no—
890C42—191no—
891C42—191no—
892C42—191no—
893C42C22×D1911yescharacteristic
894C23—41no—
895C23—41no—
896C23—41no—
897C23—191no—
898C23—191no—
899C23—191no—
900C23—191no—
901C23—191no—
902C23—382no—
903C23—382no—
904C23—382no—
905C23—761no—
906C23—761no—
907C23—761no—
908C23—761no—
909C23—761no—
910C23—761no—
911C23—761no—
912C23—761no—
913C23—761no—
914C23C23×D1911yescharacteristic
915C23C23×D1911yescharacteristic
916C23C23×D1911yescharacteristic
917C23C23×D1911yescharacteristic
918C23C23×D1911yescharacteristic
919C23C23×D1911yescharacteristic
920Q8—382no—
921Q8—761no—
922Q8—761no—
923Q8—761no—
924D4—41no—
925D4—41no—
926D4—41no—
927D4—41no—
928D4—41no—
929D4—41no—
930D4—41no—
931D4—41no—
932D4—41no—
933D4—41no—
934D4—41no—
935D4—41no—
936D4—382no—
937D4—382no—
938D4—382no—
939D4—382no—
940D4—382no—
941D4—382no—
942D4—382no—
943D4—761no—
944D4—761no—
945D4—761no—
946D4—761no—
947D4—761no—
948D4—761no—
949D4—761no—
950D4—761no—
951D4—761no—
952D4—761no—
953D4—761no—
954D4—761no—
955D4—761no—
956D4—761no—
957D4—761no—
958D4—761no—
959D4—761no—
960D4—761no—
961D4—761no—
962D4—761no—
963D4—761no—
964C2×C4—41no—
965C2×C4—41no—
966C2×C4—41no—
967C2×C4—191no—
968C2×C4—191no—
969C2×C4—191no—
970C2×C4—191no—
971C2×C4—191no—
972C2×C4—191no—
973C2×C4—191no—
974C2×C4—191no—
975C2×C4—191no—
976C2×C4—191no—
977C2×C4—191no—
978C2×C4—382no—
979C2×C4—382no—
980C2×C4—382no—
981C2×C4—382no—
982C2×C4—382no—
983C2×C4—382no—
984C2×C4—382no—
985C2×C4—761no—
986C2×C4—761no—
987C2×C4—761no—
988C2×C4—761no—
989C2×C4—761no—
990C2×C4—761no—
991C2×C4—761no—
992C2×C4—761no—
993C2×C4—761no—
994C2×C4—761no—
995C2×C4—761no—
996C2×C4—761no—
997C2×C4C23×D1911yescharacteristic
998C2×C4C23×D1911yescharacteristic
999C2×C4C23×D1911yescharacteristic
1000C2×C4C23×D1911yescharacteristic
1001C2×C4C23×D1911yescharacteristic
1002C2×C4C23×D1911yescharacteristic
1003C2×C4C23×D1911yescharacteristic
1004C2×C4C23×D1911yescharacteristic
1005C2×C4C23×D1911yescharacteristic
1006C22—21no—
1007C22—21no—
1008C22—21no—
1009C22—21no—
1010C22—21no—
1011C22—21no—
1012C22—21no—
1013C22—21no—
1014C22—21no—
1015C22—21no—
1016C22—21no—
1017C22—21no—
1018C22—21no—
1019C22—21no—
1020C22—21no—
1021C22—21no—
1022C22—21no—
1023C22—21no—
1024C22—82no—
1025C22—192no—
1026C22—381no—
1027C22—381no—
1028C22—381no—
1029C22—381no—
1030C22—381no—
1031C22—381no—
1032C22—381no—
1033C22—381no—
1034C22—381no—
1035C22—381no—
1036C22—381no—
1037C22—381no—
1038C22—381no—
1039C22—381no—
1040C22—764no—
1041C22—1522no—
1042C22—1522no—
1043C22—1522no—
1044C22C24×D1911yescharacteristic
1045C4—21no—
1046C4—21no—
1047C4—21no—
1048C4—21no—
1049C4—21no—
1050C4—21no—
1051C4—21no—
1052C4—21no—
1053C4—21no—
1054C4—192no—
1055C4—381no—
1056C4—381no—
1057C4—381no—
1058C4—381no—
1059C4—381no—
1060C4—381no—
1061C4—381no—
1062C4—381no—
1063C4—381no—
1064C4—381no—
1065C2—41no—
1066C2—41no—
1067C2—41no—
1068C2—41no—
1069C2—41no—
1070C2—41no—
1071C2—382no—
1072C2—761no—
1073C2—761no—
1074C2—761no—
1075C2—761no—
1076C2H(5,𝔽2)×D1911yescharacteristic
1077C2H(5,𝔽2)×D1911yescharacteristic
1078C2#1192737911yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#560C2
hypercenter#560D19
hypocenterC19#3542
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #560

Complements

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

NH ≅ G/Ntype
1. #11927291C2semidirect
2. #11927289C2semidirect
3. #11927282C2semidirect
4. #11927258C2semidirect
5. #11927237C2semidirect
6. #11927230C2semidirect
7. #11927219C2semidirect
8. #11927217C2semidirect
9. #11927214C2semidirect
10. #11927192C2semidirect
11. #11927191C2semidirect
12. #11927183C2semidirect
13. #11927181C2semidirect
14. #11927181C2semidirect
15. #11927176C2semidirect
16. #11927160C2semidirect
17. #11927147C2semidirect
18. #11927146C2semidirect
19. #11927146C2semidirect
20. #11927133C2semidirect
21. #11927129C2semidirect
22. #11927121C2semidirect
23. #11927110C2semidirect
24. #11927109C2semidirect
25. #11927107C2semidirect
26. #11927104C2semidirect
27. #11927102C2semidirect
28. #11927054C2semidirect
29. #11927052C2semidirect
30. #121×D19C2semidirect
31. C19×#560C2semidirect
33. C22×C22⋊D19C22semidirect
34. C2×#64543C22semidirect
35. C2×#64543C22semidirect
36. C2×#64543C22semidirect
37. C2×#64543C22semidirect
40. C2×D4×D19C22semidirect
41. C2×D4×D19C22semidirect
42. C2×#64541C22semidirect
43. C22×C4×D19C22semidirect
44. C19×#127C22semidirect
45. C19×#126C22semidirect
46. C19×#126C22semidirect
47. C19×#123C22semidirect
48. C19×#123C22semidirect
49. C19×#123C22semidirect
50. C19×#121C22semidirect
51. C19×#121C22semidirect
52. C19×#121C22semidirect
53. C19×#121C22semidirect
54. C19×#121C22semidirect
55. C19×#121C22semidirect
56. C19×#120C22semidirect
57. C19×#120C22semidirect
58. C19×#120C22semidirect
59. #10597399C22semidirect
60. C2×C22⋊Dic19C22semidirect
61. #10597386C22semidirect
62. #10597386C22semidirect
63. #10597386C22semidirect
64. #10597386C22semidirect
66. #10597385C22semidirect
67. #10597385C22semidirect
68. #10597385C22semidirect
69. #10597385C22semidirect
70. #10597385C22semidirect
71. #10597385C22semidirect
72. #10597385C22semidirect
73. #10597385C22semidirect
74. #10597385C22semidirect
75. #10597385C22semidirect
76. #10597385C22semidirect
77. #10597385C22semidirect
78. #10597385C22semidirect
80. #10597384C22semidirect
81. #10597384C22semidirect
82. #10597384C22semidirect
83. #10597384C22semidirect
84. #10597384C22semidirect
87. #10597383C22semidirect
88. #10597383C22semidirect
89. #10597383C22semidirect
90. #10597383C22semidirect
91. #10597383C22semidirect
92. #10597383C22semidirect
93. #10597382C22semidirect
94. #10597382C22semidirect
95. #10597381C22semidirect
96. #10597381C22semidirect
97. D4×Dic19C22semidirect
98. D4×Dic19C22semidirect
99. D4×Dic19C22semidirect
100. D4×Dic19C22semidirect
101. #10597376C22semidirect
102. #10597376C22semidirect
103. #10597376C22semidirect
104. #10597375C22semidirect
105. C4×C22⋊D19C22semidirect
106. C4×C22⋊D19C22semidirect
107. C2×(C2×D19)⋊C4C22semidirect
108. #10597372C22semidirect
109. #10597370C22semidirect
110. C2×Dic19⋊C4C22semidirect
111. #10597344C22semidirect
112. #10597344C22semidirect
113. #10597343C22semidirect
114. #10597343C22semidirect
115. #10597342C22semidirect
116. #10597342C22semidirect
117. #10597342C22semidirect
118. #10597342C22semidirect
119. #10597341C22semidirect
120. #10597341C22semidirect
121. #10597340C22semidirect
122. #10597340C22semidirect
123. #10597340C22semidirect
124. #10597340C22semidirect
125. #10597339C22semidirect
126. #10597339C22semidirect
127. #10597338C22semidirect
128. #10597338C22semidirect
129. #10597338C22semidirect
130. C4⋊C4×D19C22semidirect
131. #10597336C22semidirect
132. #10597335C22semidirect
133. #10597335C22semidirect
134. #10597334C22semidirect
135. #10597332C22semidirect
136. #10597332C22semidirect
137. #10597332C22semidirect
138. #10597332C22semidirect
139. #10597331C22semidirect
140. #10597331C22semidirect
141. #10597331C22semidirect
142. #10597331C22semidirect
143. #10597331C22semidirect
144. #10597331C22semidirect
147. #10597330C22semidirect
148. #10597330C22semidirect
149. #10597330C22semidirect
150. #10597330C22semidirect
151. #10597330C22semidirect
152. #10597330C22semidirect
155. #10597329C22semidirect
156. #10597329C22semidirect
157. #10597329C22semidirect
158. #10597329C22semidirect
159. #10597329C22semidirect
160. #10597329C22semidirect
162. #10597328C22semidirect
163. #10597328C22semidirect
164. #10597328C22semidirect
166. (C22⋊D19)⋊C4C22semidirect
167. (C22⋊D19)⋊C4C22semidirect
168. (C22⋊D19)⋊C4C22semidirect
169. (C22⋊D19)⋊C4C22semidirect
170. (C22⋊D19)⋊C4C22semidirect
171. C22⋊C4×D19C22semidirect
172. C22⋊C4×D19C22semidirect
173. C22⋊C4×D19C22semidirect
174. C22⋊C4×D19C22semidirect
175. #10597325C22semidirect
176. #10597325C22semidirect
177. #10597324C22semidirect
178. #10597324C22semidirect
179. #10597324C22semidirect
180. #10597324C22semidirect
181. #10597323C22semidirect
182. #10597323C22semidirect
183. #10597321C22semidirect
184. C4×D76C22semidirect
185. #10597318C22semidirect
186. C4×Dic38C22semidirect
529. #560D19semidirect
588. #127C2×D19semidirect
593. #126C2×D19semidirect
594. #126C2×D19semidirect
626. #123C2×D19semidirect
627. #123C2×D19semidirect
628. #123C2×D19semidirect
673. #121C2×D19semidirect
674. #121C2×D19semidirect
675. #121C2×D19semidirect
676. #121C2×D19semidirect
677. #121C2×D19semidirect
678. #121C2×D19semidirect
692. #120C2×D19semidirect
693. #120C2×D19semidirect
694. #120C2×D19semidirect
726. C19#3542semidirect

Maximal subgroups

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

subgroupindex
#119272912
#119272892
#119272822
#119272582
#119272372
#119272302
#119272192
#119272172
#119272142
#119271922
#119271912
#119271832
#119271812
#119271762
#119271602
#119271472
#119271462
#119271332
#119271292
#119271212
#119271102
#119271092
#119271072
#119271042
#119271022
#119270542
#119270522
#121×D192
C19×#5602
#354219