Finite Group Databasebeta

← #14577812

Subgroups — #14577812

Order 2432.

1166 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11927292C211yesmaximal, characteristic, complemented
2#11927291C211yesmaximal, characteristic, complemented
3#11927285C211yesmaximal, characteristic, complemented
4#11927282C211yesmaximal, characteristic, complemented
5#11927242C211yesmaximal, characteristic, complemented
6#11927219C211yesmaximal, characteristic, complemented
7#11927218C211yesmaximal, characteristic, complemented
8#11927190C211yesmaximal, characteristic, complemented
9#11927189C211yesmaximal, characteristic, complemented
10#11927189C211yesmaximal, characteristic, complemented
11#11927186C211yesmaximal, characteristic, complemented
12#11927183C211yesmaximal, characteristic, complemented
13#11927183C211yesmaximal, characteristic, complemented
14D4×D76C211yesmaximal, characteristic, complemented
15#11927178C211yesmaximal, characteristic, complemented
16#11927149C211yesmaximal, characteristic, complemented
17#11927146C211yesmaximal, characteristic, complemented
18#11927142C211yesmaximal, characteristic, complemented
19#11927136C211yesmaximal, characteristic, complemented
20#11927135C211yesmaximal, characteristic, complemented
21#11927133C211yesmaximal, characteristic, complemented
22#11927127C211yesmaximal, characteristic, complemented
23#11927127C211yesmaximal, characteristic, complemented
24#11927121C211yesmaximal, characteristic, complemented
25#11927105C211yesmaximal, characteristic, complemented
26#11927102C211yesmaximal, characteristic, complemented
27#11927102C211yesmaximal, characteristic, complemented
28#11927053C211yesmaximal, characteristic, complemented
29C2×#10597340C211yesmaximal, characteristic, complemented
30#121×D19C211yesmaximal, characteristic, complemented
31C19×#553C211yesmaximal, characteristic, complemented
32C2×#64543C2211yescharacteristic, complemented
33C2×#64543C2211yescharacteristic, complemented
34C2×D4×D19C2211yescharacteristic, complemented
35C2×D4×D19C2211yescharacteristic, complemented
36C2×D4×D19C2211yescharacteristic, complemented
37C2×D4×D19C2211yescharacteristic, complemented
38C2×D4×D19C2211yescharacteristic, complemented
39C2×D4×D19C2211yescharacteristic, complemented
40C2×#64541C2211yescharacteristic, complemented
41C22×D76C2211yescharacteristic
42C22×D76C2211yescharacteristic, complemented
43C22×C4×D19C2211yescharacteristic, complemented
44C19×#126C2211yescharacteristic, complemented
45C19×#126C2211yescharacteristic, complemented
46C19×#125C2211yescharacteristic, complemented
47C19×#123C2211yescharacteristic, complemented
48C19×#123C2211yescharacteristic, complemented
49C19×#121C2211yescharacteristic, complemented
50C19×#121C2211yescharacteristic, complemented
51C19×#121C2211yescharacteristic, complemented
52C19×#121C2211yescharacteristic, complemented
53C4×D4×C19C2211yescharacteristic, complemented
54C4×D4×C19C2211yescharacteristic, complemented
55C4×D4×C19C2211yescharacteristic, complemented
56C4×D4×C19C2211yescharacteristic, complemented
57C19×#117C2211yescharacteristic, complemented
58C2×C4⋊C4×C19C2211yescharacteristic, complemented
59#10597386C2211yescharacteristic, complemented
60#10597385C2211yescharacteristic
61#10597385C2211yescharacteristic, complemented
62#10597385C2211yescharacteristic, complemented
63#10597385C2211yescharacteristic, complemented
64#10597385C2211yescharacteristic, complemented
65#10597385C2211yescharacteristic, complemented
66#10597385C2211yescharacteristic, complemented
67#10597384C2211yescharacteristic, complemented
68#10597383C2211yescharacteristic, complemented
69#10597383C2211yescharacteristic, complemented
70#10597383C2211yescharacteristic, complemented
71#10597383C2211yescharacteristic, complemented
72#10597383C2211yescharacteristic, complemented
73#10597383C2211yescharacteristic, complemented
74#10597381C2211yescharacteristic, complemented
75#10597376C2211yescharacteristic, complemented
76#10597376C2211yescharacteristic, complemented
77#10597376C2211yescharacteristic, complemented
78#10597376C2211yescharacteristic, complemented
79#10597376C2211yescharacteristic, complemented
80#10597376C2211yescharacteristic, complemented
81#10597376C2211yescharacteristic, complemented
82#10597375C2211yescharacteristic, complemented
83#10597375C2211yescharacteristic, complemented
84C4×C22⋊D19C2211yescharacteristic, complemented
85C4×C22⋊D19C2211yescharacteristic, complemented
86C4×C22⋊D19C2211yescharacteristic, complemented
87C4×C22⋊D19C2211yescharacteristic, complemented
88C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
89C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
90C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
91C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
92C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
93#10597370C2211yescharacteristic, complemented
94C2×Dic19⋊C4C2211yescharacteristic, complemented
95#10597344C2211yescharacteristic, complemented
96#10597344C2211yescharacteristic, complemented
97#10597344C2211yescharacteristic, complemented
98#10597343C2211yescharacteristic, complemented
99#10597343C2211yescharacteristic, complemented
100#10597342C2211yescharacteristic, complemented
101#10597342C2211yescharacteristic, complemented
102#10597342C2211yescharacteristic, complemented
103#10597342C2211yescharacteristic, complemented
104#10597342C2211yescharacteristic, complemented
105#10597342C2211yescharacteristic, complemented
106#10597341C2211yescharacteristic
107#10597341C2211yescharacteristic, complemented
108#10597341C2211yescharacteristic, complemented
109#10597341C2211yescharacteristic, complemented
110#10597341C2211yescharacteristic, complemented
111#10597341C2211yescharacteristic, complemented
112#10597341C2211yescharacteristic, complemented
113#10597340C2211yescharacteristic, complemented
114#10597340C2211yescharacteristic, complemented
115#10597340C2211yescharacteristic, complemented
116#10597340C2211yescharacteristic, complemented
117#10597340C2211yescharacteristic, complemented
118#10597340C2211yescharacteristic, complemented
119#10597340C2211yescharacteristic, complemented
120#10597340C2211yescharacteristic, complemented
121#10597340C2211yescharacteristic, complemented
122#10597340C2211yescharacteristic, complemented
123#10597340C2211yescharacteristic, complemented
124#10597340C2211yescharacteristic, complemented
125#10597340C2211yescharacteristic, complemented
126#10597340C2211yescharacteristic, complemented
127#10597340C2211yescharacteristic, complemented
128#10597340C2211yescharacteristic, complemented
129#10597339C2211yescharacteristic, complemented
130#10597339C2211yescharacteristic, complemented
131#10597338C2211yescharacteristic, complemented
132C4⋊C4×D19C2211yescharacteristic, complemented
133#10597336C2211yescharacteristic, complemented
134#10597335C2211yescharacteristic, complemented
135#10597332C2211yescharacteristic, complemented
136#10597332C2211yescharacteristic, complemented
137#10597332C2211yescharacteristic, complemented
138#10597331C2211yescharacteristic, complemented
139#10597331C2211yescharacteristic, complemented
140#10597331C2211yescharacteristic, complemented
141#10597330C2211yescharacteristic
142#10597330C2211yescharacteristic, complemented
143#10597330C2211yescharacteristic, complemented
144#10597330C2211yescharacteristic, complemented
145#10597330C2211yescharacteristic, complemented
146#10597330C2211yescharacteristic, complemented
147#10597330C2211yescharacteristic, complemented
148#10597330C2211yescharacteristic, complemented
149#10597330C2211yescharacteristic, complemented
150#10597330C2211yescharacteristic, complemented
151#10597329C2211yescharacteristic, complemented
152#10597329C2211yescharacteristic, complemented
153#10597329C2211yescharacteristic, complemented
154#10597329C2211yescharacteristic, complemented
155#10597328C2211yescharacteristic
156#10597328C2211yescharacteristic
157#10597328C2211yescharacteristic, complemented
158#10597328C2211yescharacteristic, complemented
159#10597328C2211yescharacteristic, complemented
160#10597328C2211yescharacteristic, complemented
161#10597328C2211yescharacteristic, complemented
162#10597328C2211yescharacteristic, complemented
163#10597328C2211yescharacteristic, complemented
164#10597328C2211yescharacteristic, complemented
165(C22⋊D19)⋊C4C2211yescharacteristic, complemented
166(C22⋊D19)⋊C4C2211yescharacteristic, complemented
167C22⋊C4×D19C2211yescharacteristic, complemented
168C22⋊C4×D19C2211yescharacteristic, complemented
169C22⋊C4×D19C2211yescharacteristic, complemented
170C22⋊C4×D19C2211yescharacteristic, complemented
171#10597325C2211yescharacteristic, complemented
172#10597324C2211yescharacteristic, complemented
173#10597324C2211yescharacteristic, complemented
174#10597324C2211yescharacteristic, complemented
175#10597322C2211yescharacteristic, complemented
176#10597322C2211yescharacteristic, complemented
177#10597321C2211yescharacteristic, complemented
178#10597321C2211yescharacteristic, complemented
179#10597321C2211yescharacteristic, complemented
180#10597320C2211yescharacteristic, complemented
181C4×D76C2211yescharacteristic, complemented
182C4×D76C2211yescharacteristic, complemented
183C4×D76C2211yescharacteristic, complemented
184C4×D76C2211yescharacteristic, complemented
185#10597318C2211yescharacteristic, complemented
186#10597316C2211yescharacteristic, complemented
187C23×D19C2311yescharacteristic
188C23×D19C2311yescharacteristic
189C23×D19C2311yescharacteristic
190C23×D19C2311yescharacteristic
191C23×D19C2311yescharacteristic
192C23×D19C2311yescharacteristic
193C2×D4×C19C2311yescharacteristic
194C2×D4×C19C2311yescharacteristic
195C2×D4×C19C2311yescharacteristic
196C2×D4×C19C2311yescharacteristic
197C2×D4×C19C2311yescharacteristic
198C2×D4×C19C2311yescharacteristic
199C22×C4×C19C2311yescharacteristic
200C22×C4×C19C2311yescharacteristic
201C22×C4×C19C2311yescharacteristic
202C22×C4×C19C2311yescharacteristic
203C22×C4×C19C2311yescharacteristic
204C22×C4×C19C2311yescharacteristic
205C2×C22⋊D19C2311yescharacteristic
206C2×C22⋊D19C2311yescharacteristic
207C2×C22⋊D19C2311yescharacteristic
208C2×C22⋊D19C2311yescharacteristic
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
221C22×Dic19C2311yescharacteristic
222C22×Dic19C2311yescharacteristic
223C22×Dic19C2311yescharacteristic
224C22×Dic19C2311yescharacteristic
225#64543—42no—
226#64543—42no—
227D4×D19—42no—
228D4×D19—42no—
229D4×D19—42no—
230D4×D19—42no—
231D4×D19—42no—
232D4×D19—42no—
233#64541—42no—
234C2×D76—42no—
235C2×D76—42no—
236C2×D76C2311yescharacteristic
237C2×D76C2311yescharacteristic
238C2×D76C2311yescharacteristic
239C2×D76C2311yescharacteristic
240C2×D76C2311yescharacteristic
241C2×D76C2311yescharacteristic
242C2×D76C2311yescharacteristic
243C2×D76C2311yescharacteristic
244C2×D76C2311yescharacteristic
245C2×D76C2311yescharacteristic
246C2×D76C2311yescharacteristic
247C2×D76C2311yescharacteristic
248C2×D76C2311yescharacteristic
249C2×D76C2311yescharacteristic
250C2×D76C2311yescharacteristic
251C2×C4×D19—42no—
252C2×C4×D19C2311yescharacteristic
253C2×C4×D19C2311yescharacteristic
254C2×C4×D19C2311yescharacteristic
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×Dic38C2311yescharacteristic
266C2×Dic38C2311yescharacteristic
267C2×Dic38C2311yescharacteristic
268C4⋊C4×C19C2311yescharacteristic
269C4⋊C4×C19C2311yescharacteristic
270C4⋊C4×C19C2311yescharacteristic
271C4⋊C4×C19C2311yescharacteristic
272C4⋊C4×C19C2311yescharacteristic
273C4⋊C4×C19C2311yescharacteristic
274C4⋊C4×C19C2311yescharacteristic
275C4⋊C4×C19C2311yescharacteristic
276C4⋊C4×C19C2311yescharacteristic
277C4⋊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
289C42×C19C2311yescharacteristic
290C42×C19C2311yescharacteristic
291C22⋊Dic19C2311yescharacteristic
292C22⋊Dic19C2311yescharacteristic
293C22⋊Dic19C2311yescharacteristic
294C22⋊Dic19C2311yescharacteristic
295C22⋊Dic19C2311yescharacteristic
296C22⋊Dic19C2311yescharacteristic
297(C2×D19)⋊C4C2311yescharacteristic
298(C2×D19)⋊C4C2311yescharacteristic
299(C2×D19)⋊C4C2311yescharacteristic
300(C2×D19)⋊C4C2311yescharacteristic
301(C2×D19)⋊C4C2311yescharacteristic
302(C2×D19)⋊C4C2311yescharacteristic
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
325(C2×D19)⋊C4C2311yescharacteristic
326(C2×D19)⋊C4C2311yescharacteristic
327(C2×D19)⋊C4C2311yescharacteristic
328(C2×D19)⋊C4C2311yescharacteristic
329(C2×D19)⋊C4C2311yescharacteristic
330(C2×D19)⋊C4C2311yescharacteristic
331C4⋊Dic19C2311yescharacteristic
332C4⋊Dic19C2311yescharacteristic
333C4⋊Dic19C2311yescharacteristic
334C4⋊Dic19C2311yescharacteristic
335C4⋊Dic19C2311yescharacteristic
336C4⋊Dic19C2311yescharacteristic
337Dic19⋊C4C2311yescharacteristic
338Dic19⋊C4C2311yescharacteristic
339Dic19⋊C4C2311yescharacteristic
340Dic19⋊C4C2311yescharacteristic
341Dic19⋊C4C2311yescharacteristic
342Dic19⋊C4C2311yescharacteristic
343Dic19⋊C4C2311yescharacteristic
344Dic19⋊C4C2311yescharacteristic
345Dic19⋊C4C2311yescharacteristic
346Dic19⋊C4C2311yescharacteristic
347Dic19⋊C4C2311yescharacteristic
348Dic19⋊C4C2311yescharacteristic
349Dic19⋊C4C2311yescharacteristic
350Dic19⋊C4C2311yescharacteristic
351C4×Dic19C2311yescharacteristic
352C4×Dic19C2311yescharacteristic
353C4×Dic19C2311yescharacteristic
354C23×C19C2411yescharacteristic
355C23×C19C2411yescharacteristic
356C23×C19C2411yescharacteristic
357C23×C19C2411yescharacteristic
358C22×D19—22no—
359C22×D19—22no—
360C22×D19—22no—
361C22×D19—22no—
362C22×D19—22no—
363C22×D19—41no—
364C22×D19—41no—
365C22×D19—41no—
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×D19—41no—
376C22×D19C2411yescharacteristic
377C22×D19C2411yescharacteristic
378C22×D19C2411yescharacteristic
379C22×D19C2411yescharacteristic
380C22×D19C2411yescharacteristic
381C22×D19C2411yescharacteristic
382C22×D19C2411yescharacteristic
383D4×C19—22no—
384D4×C19—22no—
385D4×C19—22no—
386D4×C19—41no—
387D4×C19—41no—
388D4×C19—41no—
389C2×C4×C19—41no—
390C2×C4×C19—41no—
391C2×C4×C19—41no—
392C2×C4×C19—41no—
393C2×C4×C19—41no—
394C2×C4×C19—41no—
395C2×C4×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
404C2×C4×C19C2411yescharacteristic
405C2×C4×C19C2411yescharacteristic
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—
422C2×Dic19—22no—
423C2×Dic19—41no—
424C2×Dic19—41no—
425C2×Dic19—41no—
426C2×Dic19C2411yescharacteristic
427C2×Dic19C2411yescharacteristic
428C2×Dic19C2411yescharacteristic
429C2×Dic19C2411yescharacteristic
430C2×Dic19C2411yescharacteristic
431C2×Dic19C2411yescharacteristic
432C2×Dic19C2411yescharacteristic
433C2×Dic19C2411yescharacteristic
434C2×Dic19C2411yescharacteristic
435D76—22no—
436D76—22no—
437D76—22no—
438D76—41no—
439D76—41no—
440D76—41no—
441D76—41no—
442D76—41no—
443D76—41no—
444D76—41no—
445D76—41no—
446D76—41no—
447D76—41no—
448D76—41no—
449D76—41no—
450C4×D19—22no—
451C4×D19—22no—
452C4×D19—41no—
453C4×D19—41no—
454C4×D19—41no—
455C4×D19—41no—
456C4×D19—41no—
457C4×D19—41no—
458C4×D19—41no—
459C4×D19—41no—
460C4×D19—41no—
461C4×D19—41no—
462C4×D19—41no—
463Dic38—41no—
464Dic38—41no—
465Dic38—41no—
466#3534—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×C19H(5,𝔽2)12yes—
479C22×C19C2511yescharacteristic
480C2×D19—21no—
481C2×D19—21no—
482C2×D19—21no—
483C2×D19—21no—
484C2×D19—21no—
485C2×D19—21no—
486C2×D19—21no—
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—44no—
501C2×D19—82no—
502C2×D19—82no—
503C2×D19—82no—
504C2×D19—82no—
505C2×D19—82no—
506C2×D19H(5,𝔽2)12yes—
507C4×C19—21no—
508C4×C19—21no—
509C4×C19—21no—
510C4×C19—21no—
511C4×C19—21no—
512C4×C19—21no—
513C4×C19—21no—
514C4×C19—21no—
515C4×C19—21no—
516C4×C19—21no—
517C4×C19—21no—
518Dic19—21no—
519Dic19—21no—
520Dic19—21no—
521Dic19—21no—
522Dic19—21no—
523Dic19—21no—
524Dic19—21no—
525Dic19—21no—
526Dic19—21no—
527#562—191no—
528#562—191no—
529#560—191no—
530#560—191no—
531#553—191no—
532#553D1911yescharacteristic, complemented
533#551—191no—
534#551—191no—
535#546—191no—
536#546—191no—
537#546—191no—
538#546—191no—
539#546—191no—
540#546—191no—
541D42—191no—
542D42—191no—
543#540—191no—
544#540—191no—
545#539—191no—
546#539—191no—
547#539—191no—
548#538—191no—
549#538—191no—
550#538—191no—
551#537—191no—
552#534—191no—
553#534—191no—
554#534—191no—
555#525—191no—
556C2×#123—191no—
557C2×#121—191no—
558C2×C19—22no—
559C2×C19—41no—
560C2×C19—41no—
561C2×C19—41no—
562C2×C19C2×H(5,𝔽2)11yescharacteristic
563C2×C19C2×H(5,𝔽2)11yescharacteristic
564C2×C19#58511yescharacteristic
565D19—22no—
566D19—41no—
567D19—41no—
568D19—41no—
569D19—41no—
570D19—41no—
571D19—41no—
572C2×#41—191no—
573C2×#41—191no—
574C2×#41—191no—
575C22×D4—191no—
576C22×D4—191no—
577C22×D4—191no—
578C22×D4—191no—
579C22×D4—191no—
580C22×D4—191no—
581C22×D4—191no—
582C22×D4—191no—
583C23×C4—191no—
584#127—191no—
585#127—191no—
586#126—191no—
587#126—191no—
588#126—191no—
589#126—191no—
590#126—191no—
591#126—191no—
592#126C2×D1911yescharacteristic, complemented
593#126C2×D1911yescharacteristic, complemented
594#125—191no—
595#125—191no—
596#125—191no—
597#125C2×D1911yescharacteristic, complemented
598#124—191no—
599#124—191no—
600#124—191no—
601#124—191no—
602#124—191no—
603#124—191no—
604#123—191no—
605#123—191no—
606#123—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#123—191no—
627#123—191no—
628#123—191no—
629#123—191no—
630#123C2×D1911yescharacteristic, complemented
631#123C2×D1911yescharacteristic, complemented
632C22⋊Q8—191no—
633C22⋊Q8—191no—
634C22⋊Q8—191no—
635C22⋊Q8—191no—
636C22⋊Q8—191no—
637C22⋊Q8—191no—
638C22⋊Q8—191no—
639C22⋊Q8—191no—
640C22⋊Q8—191no—
641C22⋊Q8—191no—
642C22⋊Q8—191no—
643C22⋊Q8—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#121—191no—
674#121—191no—
675#121—191no—
676#121C2×D1911yescharacteristic, complemented
677#121C2×D1911yescharacteristic, complemented
678#121C2×D1911yescharacteristic, complemented
679#121C2×D1911yescharacteristic, complemented
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#120—191no—
693#120—191no—
694#120—191no—
695#120—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×D4C2×D1911yescharacteristic, complemented
709C4×D4C2×D1911yescharacteristic, complemented
710C4×D4C2×D1911yescharacteristic, complemented
711C4×D4C2×D1911yescharacteristic, complemented
712#117—191no—
713#117—191no—
714#117C2×D1911yescharacteristic, complemented
715C2×C4⋊C4—191no—
716C2×C4⋊C4—191no—
717C2×C4⋊C4C2×D1911yescharacteristic, complemented
718C2×C22⋊C4—191no—
719C2×C22⋊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—
726C2×C22⋊C4—191no—
727C19#353411yescharacteristic, complemented, Sylow
728C24—191no—
729C24—191no—
730C24—191no—
731C24—191no—
732C24—191no—
733C24—191no—
734#41—762no—
735#41—762no—
736#41—762no—
737C2×Q8—191no—
738C2×Q8—191no—
739C2×Q8—191no—
740C2×D4—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—191no—
770C2×D4—191no—
771C2×D4—762no—
772C2×D4—762no—
773C2×D4—762no—
774C2×D4—762no—
775C2×D4—762no—
776C2×D4—762no—
777C2×D4—762no—
778C2×D4—762no—
779C2×D4C22×D1911yescharacteristic
780C2×D4C22×D1911yescharacteristic
781C2×D4C22×D1911yescharacteristic
782C2×D4C22×D1911yescharacteristic
783C2×D4C22×D1911yescharacteristic
784C2×D4C22×D1911yescharacteristic
785C22×C4—191no—
786C22×C4—191no—
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—762no—
803C22×C4C22×D1911yescharacteristic
804C22×C4C22×D1911yescharacteristic
805C22×C4C22×D1911yescharacteristic
806C22×C4C22×D1911yescharacteristic
807C22×C4C22×D1911yescharacteristic
808C22×C4C22×D1911yescharacteristic
809C4⋊C4—191no—
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⋊C4C22×D1911yescharacteristic
830C4⋊C4C22×D1911yescharacteristic
831C4⋊C4C22×D1911yescharacteristic
832C4⋊C4C22×D1911yescharacteristic
833C4⋊C4C22×D1911yescharacteristic
834C4⋊C4C22×D1911yescharacteristic
835C4⋊C4C22×D1911yescharacteristic
836C4⋊C4C22×D1911yescharacteristic
837C4⋊C4C22×D1911yescharacteristic
838C4⋊C4C22×D1911yescharacteristic
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⋊C4—191no—
875C22⋊C4—191no—
876C22⋊C4—191no—
877C22⋊C4—191no—
878C22⋊C4—191no—
879C22⋊C4C22×D1911yescharacteristic
880C22⋊C4C22×D1911yescharacteristic
881C22⋊C4C22×D1911yescharacteristic
882C22⋊C4C22×D1911yescharacteristic
883C22⋊C4C22×D1911yescharacteristic
884C22⋊C4C22×D1911yescharacteristic
885C22⋊C4C22×D1911yescharacteristic
886C22⋊C4C22×D1911yescharacteristic
887C22⋊C4C22×D1911yescharacteristic
888C22⋊C4C22×D1911yescharacteristic
889C42—191no—
890C42—191no—
891C42—191no—
892C42C22×D1911yescharacteristic
893C42C22×D1911yescharacteristic
894C42C22×D1911yescharacteristic
895C23—191no—
896C23—191no—
897C23—191no—
898C23—191no—
899C23—191no—
900C23—191no—
901C23—191no—
902C23—382no—
903C23—382no—
904C23—382no—
905C23—382no—
906C23—382no—
907C23—761no—
908C23—761no—
909C23—761no—
910C23—761no—
911C23—761no—
912C23—761no—
913C23—761no—
914C23—761no—
915C23—761no—
916C23—761no—
917C23—761no—
918C23—761no—
919C23—761no—
920C23C23×D1911yescharacteristic
921C23C23×D1911yescharacteristic
922C23C23×D1911yescharacteristic
923C23C23×D1911yescharacteristic
924Q8—761no—
925Q8—761no—
926Q8—761no—
927D4—22no—
928D4—22no—
929D4—22no—
930D4—41no—
931D4—41no—
932D4—41no—
933D4—382no—
934D4—382no—
935D4—382no—
936D4—382no—
937D4—382no—
938D4—382no—
939D4—382no—
940D4—761no—
941D4—761no—
942D4—761no—
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—41no—
968C2×C4—41no—
969C2×C4—41no—
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—191no—
979C2×C4—382no—
980C2×C4—382no—
981C2×C4—382no—
982C2×C4—761no—
983C2×C4—761no—
984C2×C4—761no—
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×C4C23×D1911yescharacteristic
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
1006C2×C4C23×D1911yescharacteristic
1007C22—21no—
1008C22—21no—
1009C22—21no—
1010C22—21no—
1011C22—21no—
1012C22—21no—
1013C22—21no—
1014C22—21no—
1015C22—21no—
1016C22—21no—
1017C22—21no—
1018C22—192no—
1019C22—381no—
1020C22—381no—
1021C22—381no—
1022C22—381no—
1023C22—381no—
1024C22—381no—
1025C22—381no—
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—764no—
1040C22—1522no—
1041C22—1522no—
1042C22—1522no—
1043C22—1522no—
1044C22—1522no—
1045C22#1059743512yes—
1046C22C24×D1911yescharacteristic
1047C4—21no—
1048C4—21no—
1049C4—21no—
1050C4—21no—
1051C4—21no—
1052C4—21no—
1053C4—21no—
1054C4—21no—
1055C4—21no—
1056C4—21no—
1057C4—21no—
1058C4—381no—
1059C4—381no—
1060C4—381no—
1061C4—381no—
1062C4—381no—
1063C4—381no—
1064C4—381no—
1065C4—381no—
1066C4—381no—
1067C2—22no—
1068C2—41no—
1069C2—41no—
1070C2—41no—
1071C2—382no—
1072C2—761no—
1073C2—761no—
1074C2—761no—
1075C2—761no—
1076C2—761no—
1077C2—761no—
1078C2H(5,𝔽2)×D1911yescharacteristic
1079C2C2×#1059743511yescharacteristic
1080C2#1192738011yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#553C2
hypercenter#553D19
hypocenterC19#3534
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #553

Complements

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

NH ≅ G/Ntype
1. #11927292C2semidirect
2. #11927291C2semidirect
3. #11927285C2semidirect
4. #11927282C2semidirect
5. #11927242C2semidirect
6. #11927219C2semidirect
7. #11927218C2semidirect
8. #11927190C2semidirect
9. #11927189C2semidirect
10. #11927189C2semidirect
11. #11927186C2semidirect
12. #11927183C2semidirect
13. #11927183C2semidirect
14. D4×D76C2semidirect
15. #11927178C2semidirect
16. #11927149C2semidirect
17. #11927146C2semidirect
18. #11927142C2semidirect
19. #11927136C2semidirect
20. #11927135C2semidirect
21. #11927133C2semidirect
22. #11927127C2semidirect
23. #11927127C2semidirect
24. #11927121C2semidirect
25. #11927105C2semidirect
26. #11927102C2semidirect
27. #11927102C2semidirect
28. #11927053C2semidirect
29. C2×#10597340C2semidirect
30. #121×D19C2semidirect
31. C19×#553C2semidirect
32. C2×#64543C22semidirect
33. C2×#64543C22semidirect
34. C2×D4×D19C22semidirect
35. C2×D4×D19C22semidirect
36. C2×D4×D19C22semidirect
37. C2×D4×D19C22semidirect
38. C2×D4×D19C22semidirect
39. C2×D4×D19C22semidirect
40. C2×#64541C22semidirect
42. C22×D76C22semidirect
43. C22×C4×D19C22semidirect
44. C19×#126C22semidirect
45. C19×#126C22semidirect
46. C19×#125C22semidirect
47. C19×#123C22semidirect
48. C19×#123C22semidirect
49. C19×#121C22semidirect
50. C19×#121C22semidirect
51. C19×#121C22semidirect
52. C19×#121C22semidirect
53. C4×D4×C19C22semidirect
54. C4×D4×C19C22semidirect
55. C4×D4×C19C22semidirect
56. C4×D4×C19C22semidirect
57. C19×#117C22semidirect
58. C2×C4⋊C4×C19C22semidirect
59. #10597386C22semidirect
61. #10597385C22semidirect
62. #10597385C22semidirect
63. #10597385C22semidirect
64. #10597385C22semidirect
65. #10597385C22semidirect
66. #10597385C22semidirect
67. #10597384C22semidirect
68. #10597383C22semidirect
69. #10597383C22semidirect
70. #10597383C22semidirect
71. #10597383C22semidirect
72. #10597383C22semidirect
73. #10597383C22semidirect
74. #10597381C22semidirect
75. #10597376C22semidirect
76. #10597376C22semidirect
77. #10597376C22semidirect
78. #10597376C22semidirect
79. #10597376C22semidirect
80. #10597376C22semidirect
81. #10597376C22semidirect
82. #10597375C22semidirect
83. #10597375C22semidirect
84. C4×C22⋊D19C22semidirect
85. C4×C22⋊D19C22semidirect
86. C4×C22⋊D19C22semidirect
87. C4×C22⋊D19C22semidirect
88. C2×(C2×D19)⋊C4C22semidirect
89. C2×(C2×D19)⋊C4C22semidirect
90. C2×(C2×D19)⋊C4C22semidirect
91. C2×(C2×D19)⋊C4C22semidirect
92. C2×(C2×D19)⋊C4C22semidirect
93. #10597370C22semidirect
94. C2×Dic19⋊C4C22semidirect
95. #10597344C22semidirect
96. #10597344C22semidirect
97. #10597344C22semidirect
98. #10597343C22semidirect
99. #10597343C22semidirect
100. #10597342C22semidirect
101. #10597342C22semidirect
102. #10597342C22semidirect
103. #10597342C22semidirect
104. #10597342C22semidirect
105. #10597342C22semidirect
107. #10597341C22semidirect
108. #10597341C22semidirect
109. #10597341C22semidirect
110. #10597341C22semidirect
111. #10597341C22semidirect
112. #10597341C22semidirect
113. #10597340C22semidirect
114. #10597340C22semidirect
115. #10597340C22semidirect
116. #10597340C22semidirect
117. #10597340C22semidirect
118. #10597340C22semidirect
119. #10597340C22semidirect
120. #10597340C22semidirect
121. #10597340C22semidirect
122. #10597340C22semidirect
123. #10597340C22semidirect
124. #10597340C22semidirect
125. #10597340C22semidirect
126. #10597340C22semidirect
127. #10597340C22semidirect
128. #10597340C22semidirect
129. #10597339C22semidirect
130. #10597339C22semidirect
131. #10597338C22semidirect
132. C4⋊C4×D19C22semidirect
133. #10597336C22semidirect
134. #10597335C22semidirect
135. #10597332C22semidirect
136. #10597332C22semidirect
137. #10597332C22semidirect
138. #10597331C22semidirect
139. #10597331C22semidirect
140. #10597331C22semidirect
142. #10597330C22semidirect
143. #10597330C22semidirect
144. #10597330C22semidirect
145. #10597330C22semidirect
146. #10597330C22semidirect
147. #10597330C22semidirect
148. #10597330C22semidirect
149. #10597330C22semidirect
150. #10597330C22semidirect
151. #10597329C22semidirect
152. #10597329C22semidirect
153. #10597329C22semidirect
154. #10597329C22semidirect
157. #10597328C22semidirect
158. #10597328C22semidirect
159. #10597328C22semidirect
160. #10597328C22semidirect
161. #10597328C22semidirect
162. #10597328C22semidirect
163. #10597328C22semidirect
164. #10597328C22semidirect
165. (C22⋊D19)⋊C4C22semidirect
166. (C22⋊D19)⋊C4C22semidirect
167. C22⋊C4×D19C22semidirect
168. C22⋊C4×D19C22semidirect
169. C22⋊C4×D19C22semidirect
170. C22⋊C4×D19C22semidirect
171. #10597325C22semidirect
172. #10597324C22semidirect
173. #10597324C22semidirect
174. #10597324C22semidirect
175. #10597322C22semidirect
176. #10597322C22semidirect
177. #10597321C22semidirect
178. #10597321C22semidirect
179. #10597321C22semidirect
180. #10597320C22semidirect
181. C4×D76C22semidirect
182. C4×D76C22semidirect
183. C4×D76C22semidirect
184. C4×D76C22semidirect
185. #10597318C22semidirect
186. #10597316C22semidirect
532. #553D19semidirect
592. #126C2×D19semidirect
593. #126C2×D19semidirect
597. #125C2×D19semidirect
630. #123C2×D19semidirect
631. #123C2×D19semidirect
676. #121C2×D19semidirect
677. #121C2×D19semidirect
678. #121C2×D19semidirect
679. #121C2×D19semidirect
708. C4×D4C2×D19semidirect
709. C4×D4C2×D19semidirect
710. C4×D4C2×D19semidirect
711. C4×D4C2×D19semidirect
714. #117C2×D19semidirect
717. C2×C4⋊C4C2×D19semidirect
727. C19#3534semidirect

Maximal subgroups

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

subgroupindex
#119272922
#119272912
#119272852
#119272822
#119272422
#119272192
#119272182
#119271902
#119271892
#119271862
#119271832
D4×D762
#119271782
#119271492
#119271462
#119271422
#119271362
#119271352
#119271332
#119271272
#119271212
#119271052
#119271022
#119270532
C2×#105973402
#121×D192
C19×#5532
#353419