Finite Group Databasebeta

← #14577948

Subgroups — #14577948

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#11927290C211yesmaximal, characteristic, complemented
2#11927284C211yesmaximal, characteristic, complemented
3#11927282C211yesmaximal, characteristic, complemented
4#11927256C211yesmaximal, characteristic, complemented
5#11927239C211yesmaximal, characteristic, complemented
6#11927226C211yesmaximal, characteristic, complemented
7#11927224C211yesmaximal, characteristic, complemented
8#11927221C211yesmaximal, characteristic, complemented
9#11927212C211yesmaximal, characteristic, complemented
10#11927196C211yesmaximal, characteristic, complemented
11#11927186C211yesmaximal, characteristic, complemented
12#11927186C211yesmaximal, characteristic, complemented
13#11927185C211yesmaximal, characteristic, complemented
14#11927183C211yesmaximal, characteristic, complemented
15#11927178C211yesmaximal, characteristic, complemented
16#11927164C211yesmaximal, characteristic, complemented
17#11927150C211yesmaximal, characteristic, complemented
18#11927146C211yesmaximal, characteristic, complemented
19#11927144C211yesmaximal, characteristic, complemented
20#11927134C211yesmaximal, characteristic, complemented
21#11927130C211yesmaximal, characteristic, complemented
22#11927124C211yesmaximal, characteristic, complemented
23#11927112C211yesmaximal, characteristic, complemented
24#11927112C211yesmaximal, characteristic, complemented
25#11927110C211yesmaximal, characteristic, complemented
26#11927105C211yesmaximal, characteristic, complemented
27#11927102C211yesmaximal, characteristic, complemented
28#11927057C211yesmaximal, characteristic, complemented
29#11927052C211yesmaximal, characteristic, complemented
30#121×D19C211yesmaximal, characteristic, complemented
31C19×#562C211yesmaximal, characteristic, complemented
32C2×#64545C2211yescharacteristic, complemented
33C2×#64545C2211yescharacteristic, complemented
34C2×#64543C2211yescharacteristic, complemented
35C2×D4×D19C2211yescharacteristic
36C2×D4×D19C2211yescharacteristic
37C2×D4×D19C2211yescharacteristic, complemented
38C2×D4×D19C2211yescharacteristic, complemented
39C2×D4×D19C2211yescharacteristic, complemented
40C2×#64541C2211yescharacteristic, complemented
41C2×#64541C2211yescharacteristic, complemented
42C22×D76C2211yescharacteristic
43C22×C4×D19C2211yescharacteristic, complemented
44C19×#125C2211yescharacteristic, complemented
45C19×#124C2211yescharacteristic, complemented
46C19×#124C2211yescharacteristic, complemented
47C19×#123C2211yescharacteristic, complemented
48C19×#123C2211yescharacteristic, complemented
49C19×#123C2211yescharacteristic, complemented
50C19×#123C2211yescharacteristic, complemented
51C19×C22⋊Q8C2211yescharacteristic, complemented
52C19×C22⋊Q8C2211yescharacteristic, complemented
53C19×C22⋊Q8C2211yescharacteristic, complemented
54C19×C22⋊Q8C2211yescharacteristic, complemented
55C19×#121C2211yescharacteristic, complemented
56C19×#121C2211yescharacteristic, complemented
57C19×#121C2211yescharacteristic, complemented
58C19×#121C2211yescharacteristic, complemented
59#10597393C2211yescharacteristic, complemented
60#10597393C2211yescharacteristic, complemented
61#10597393C2211yescharacteristic, complemented
62#10597392C2211yescharacteristic, complemented
63#10597392C2211yescharacteristic, complemented
64#10597390C2211yescharacteristic, complemented
65#10597386C2211yescharacteristic, complemented
66#10597386C2211yescharacteristic, complemented
67#10597386C2211yescharacteristic, complemented
68#10597386C2211yescharacteristic, complemented
69#10597385C2211yescharacteristic
70#10597385C2211yescharacteristic, complemented
71#10597385C2211yescharacteristic, complemented
72#10597385C2211yescharacteristic, complemented
73#10597385C2211yescharacteristic, complemented
74#10597385C2211yescharacteristic, complemented
75#10597384C2211yescharacteristic, complemented
76#10597384C2211yescharacteristic, complemented
77#10597383C2211yescharacteristic
78#10597383C2211yescharacteristic, complemented
79#10597383C2211yescharacteristic, complemented
80#10597383C2211yescharacteristic, complemented
81#10597383C2211yescharacteristic, complemented
82#10597381C2211yescharacteristic, complemented
83#10597376C2211yescharacteristic, complemented
84#10597376C2211yescharacteristic, complemented
85#10597376C2211yescharacteristic, complemented
86#10597376C2211yescharacteristic, complemented
87#10597375C2211yescharacteristic, complemented
88#10597375C2211yescharacteristic, complemented
89C4×C22⋊D19C2211yescharacteristic, complemented
90C4×C22⋊D19C2211yescharacteristic, complemented
91C4×C22⋊D19C2211yescharacteristic, complemented
92C4×C22⋊D19C2211yescharacteristic, complemented
93C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
94C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
95#10597344C2211yescharacteristic, complemented
96#10597344C2211yescharacteristic, complemented
97#10597344C2211yescharacteristic, complemented
98#10597344C2211yescharacteristic, complemented
99#10597343C2211yescharacteristic, complemented
100#10597342C2211yescharacteristic, complemented
101#10597342C2211yescharacteristic, complemented
102#10597342C2211yescharacteristic, complemented
103#10597342C2211yescharacteristic, complemented
104#10597341C2211yescharacteristic
105#10597341C2211yescharacteristic, complemented
106#10597341C2211yescharacteristic, complemented
107#10597341C2211yescharacteristic, complemented
108#10597341C2211yescharacteristic, complemented
109#10597341C2211yescharacteristic, complemented
110#10597341C2211yescharacteristic, complemented
111#10597341C2211yescharacteristic, complemented
112#10597341C2211yescharacteristic, complemented
113#10597340C2211yescharacteristic
114#10597340C2211yescharacteristic
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#10597339C2211yescharacteristic
124#10597339C2211yescharacteristic, complemented
125#10597339C2211yescharacteristic, complemented
126#10597339C2211yescharacteristic, complemented
127#10597339C2211yescharacteristic, complemented
128#10597338C2211yescharacteristic, complemented
129#10597338C2211yescharacteristic, complemented
130C4⋊C4×D19C2211yescharacteristic, complemented
131C4⋊C4×D19C2211yescharacteristic, complemented
132#10597335C2211yescharacteristic, complemented
133#10597335C2211yescharacteristic, complemented
134#10597333C2211yescharacteristic, complemented
135#10597332C2211yescharacteristic, complemented
136#10597331C2211yescharacteristic, complemented
137#10597331C2211yescharacteristic, complemented
138#10597331C2211yescharacteristic, complemented
139#10597331C2211yescharacteristic, complemented
140#10597330C2211yescharacteristic
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#10597330C2211yescharacteristic, complemented
152#10597330C2211yescharacteristic, complemented
153#10597330C2211yescharacteristic, complemented
154#10597329C2211yescharacteristic, complemented
155#10597329C2211yescharacteristic, complemented
156#10597329C2211yescharacteristic, complemented
157#10597329C2211yescharacteristic, complemented
158#10597328C2211yescharacteristic
159#10597328C2211yescharacteristic
160#10597328C2211yescharacteristic, complemented
161#10597328C2211yescharacteristic, complemented
162#10597328C2211yescharacteristic, complemented
163#10597328C2211yescharacteristic, complemented
164#10597328C2211yescharacteristic, complemented
165#10597328C2211yescharacteristic, complemented
166#10597328C2211yescharacteristic, complemented
167#10597328C2211yescharacteristic, complemented
168#10597328C2211yescharacteristic, complemented
169(C22⋊D19)⋊C4C2211yescharacteristic, complemented
170(C22⋊D19)⋊C4C2211yescharacteristic, complemented
171(C22⋊D19)⋊C4C2211yescharacteristic, complemented
172(C22⋊D19)⋊C4C2211yescharacteristic, complemented
173(C22⋊D19)⋊C4C2211yescharacteristic, complemented
174(C22⋊D19)⋊C4C2211yescharacteristic, complemented
175C22⋊C4×D19C2211yescharacteristic, complemented
176C22⋊C4×D19C2211yescharacteristic, complemented
177C22⋊C4×D19C2211yescharacteristic, complemented
178C22⋊C4×D19C2211yescharacteristic, complemented
179#10597325C2211yescharacteristic, complemented
180#10597325C2211yescharacteristic, complemented
181#10597323C2211yescharacteristic, complemented
182#10597323C2211yescharacteristic, complemented
183#10597320C2211yescharacteristic, complemented
184#10597318C2211yescharacteristic, complemented
185#10597318C2211yescharacteristic, complemented
186#10597318C2211yescharacteristic, complemented
187C23×D19C2311yescharacteristic
188C23×D19C2311yescharacteristic
189C23×D19C2311yescharacteristic
190C23×D19C2311yescharacteristic
191C23×D19C2311yescharacteristic
192C2×Q8×C19C2311yescharacteristic
193C2×Q8×C19C2311yescharacteristic
194C2×D4×C19C2311yescharacteristic
195C2×D4×C19C2311yescharacteristic
196C2×D4×C19C2311yescharacteristic
197C2×D4×C19C2311yescharacteristic
198C2×D4×C19C2311yescharacteristic
199C2×D4×C19C2311yescharacteristic
200C22×C4×C19C2311yescharacteristic
201C22×C4×C19C2311yescharacteristic
202C22×C4×C19C2311yescharacteristic
203C22×C4×C19C2311yescharacteristic
204C2×C22⋊D19C2311yescharacteristic
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
221C2×C22⋊D19C2311yescharacteristic
222C22×Dic19C2311yescharacteristic
223C22×Dic19C2311yescharacteristic
224C22×Dic19C2311yescharacteristic
225#64545—42no—
226#64545—42no—
227#64543—42no—
228D4×D19—42no—
229D4×D19—42no—
230D4×D19—42no—
231D4×D19—42no—
232D4×D19—42no—
233#64541—42no—
234#64541—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×D76C2311yescharacteristic
252C2×C4×D19—42no—
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×C4×D19C2311yescharacteristic
266C2×C4×D19C2311yescharacteristic
267C2×C4×D19C2311yescharacteristic
268C2×Dic38C2311yescharacteristic
269C2×Dic38C2311yescharacteristic
270C4⋊C4×C19C2311yescharacteristic
271C4⋊C4×C19C2311yescharacteristic
272C4⋊C4×C19C2311yescharacteristic
273C4⋊C4×C19C2311yescharacteristic
274C4⋊C4×C19C2311yescharacteristic
275C4⋊C4×C19C2311yescharacteristic
276C4⋊C4×C19C2311yescharacteristic
277C4⋊C4×C19C2311yescharacteristic
278C4⋊C4×C19C2311yescharacteristic
279C4⋊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
288C22⋊C4×C19C2311yescharacteristic
289C22⋊C4×C19C2311yescharacteristic
290C22⋊C4×C19C2311yescharacteristic
291C22⋊C4×C19C2311yescharacteristic
292C42×C19C2311yescharacteristic
293C22⋊Dic19C2311yescharacteristic
294C22⋊Dic19C2311yescharacteristic
295C22⋊Dic19C2311yescharacteristic
296C22⋊Dic19C2311yescharacteristic
297C22⋊Dic19C2311yescharacteristic
298C22⋊Dic19C2311yescharacteristic
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
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×C19C2411yescharacteristic
355C23×C19C2411yescharacteristic
356C23×C19C2411yescharacteristic
357C23×C19C2411yescharacteristic
358C22×D19—22no—
359C22×D19—22no—
360C22×D19—22no—
361C22×D19—41no—
362C22×D19—41no—
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×D19C2411yescharacteristic
374C22×D19C2411yescharacteristic
375C22×D19C2411yescharacteristic
376C22×D19C2411yescharacteristic
377C22×D19C2411yescharacteristic
378C22×D19C2411yescharacteristic
379C22×D19C2411yescharacteristic
380Q8×C19—41no—
381Q8×C19—41no—
382D4×C19—41no—
383D4×C19—41no—
384D4×C19—41no—
385D4×C19—41no—
386D4×C19—41no—
387D4×C19—41no—
388C2×C4×C19—41no—
389C2×C4×C19—41no—
390C2×C4×C19—41no—
391C2×C4×C19—41no—
392C2×C4×C19C2411yescharacteristic
393C2×C4×C19C2411yescharacteristic
394C2×C4×C19C2411yescharacteristic
395C2×C4×C19C2411yescharacteristic
396C2×C4×C19C2411yescharacteristic
397C2×C4×C19C2411yescharacteristic
398C2×C4×C19C2411yescharacteristic
399C2×C4×C19C2411yescharacteristic
400C2×C4×C19C2411yescharacteristic
401C2×C4×C19C2411yescharacteristic
402C2×C4×C19C2411yescharacteristic
403C22⋊D19—22no—
404C22⋊D19—22no—
405C22⋊D19—22no—
406C22⋊D19—22no—
407C22⋊D19—41no—
408C22⋊D19—41no—
409C22⋊D19—41no—
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—
421C2×Dic19—22no—
422C2×Dic19—41no—
423C2×Dic19—41no—
424C2×Dic19C2411yescharacteristic
425C2×Dic19C2411yescharacteristic
426C2×Dic19C2411yescharacteristic
427C2×Dic19C2411yescharacteristic
428C2×Dic19C2411yescharacteristic
429C2×Dic19C2411yescharacteristic
430C2×Dic19C2411yescharacteristic
431C2×Dic19C2411yescharacteristic
432C2×Dic19C2411yescharacteristic
433D76—22no—
434D76—22no—
435D76—22no—
436D76—41no—
437D76—41no—
438D76—41no—
439D76—41no—
440D76—41no—
441D76—41no—
442D76—41no—
443D76—41no—
444D76—41no—
445D76—41no—
446D76—41no—
447D76—41no—
448D76—41no—
449C4×D19—22no—
450C4×D19—22no—
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—
462C4×D19—41no—
463C4×D19—41no—
464Dic38—22no—
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×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×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—
515C4×C19—21no—
516C4×C19—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#562D1911yescharacteristic, complemented
528#560—191no—
529#560—191no—
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×C19C2×H(5,𝔽2)11yescharacteristic
562C2×C19C2×H(5,𝔽2)11yescharacteristic
563C2×C19#58511yescharacteristic
564D19—22no—
565D19—41no—
566D19—41no—
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#127—191no—
589#126—191no—
590#126—191no—
591#126—191no—
592#126—191no—
593#126—191no—
594#126—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#124—191no—
605#124C2×D1911yescharacteristic, complemented
606#124C2×D1911yescharacteristic, complemented
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#123C2×D1911yescharacteristic, complemented
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⋊Q8C2×D1911yescharacteristic, complemented
637C22⋊Q8C2×D1911yescharacteristic, complemented
638C22⋊Q8C2×D1911yescharacteristic, complemented
639C22⋊Q8C2×D1911yescharacteristic, complemented
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#121—191no—
674#121—191no—
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#120—191no—
693#120—191no—
694#120—191no—
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—
731C24—191no—
732#41—762no—
733#41—762no—
734#41—762no—
735#41—762no—
736#41—762no—
737C2×Q8—191no—
738C2×Q8—191no—
739C2×Q8C22×D1911yescharacteristic
740C2×Q8C22×D1911yescharacteristic
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—191no—
772C2×D4—191no—
773C2×D4—191no—
774C2×D4—191no—
775C2×D4—762no—
776C2×D4—762no—
777C2×D4—762no—
778C2×D4—762no—
779C2×D4—762no—
780C2×D4—762no—
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—762no—
806C22×C4C22×D1911yescharacteristic
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⋊C4C22×D1911yescharacteristic
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
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—191no—
895C23—191no—
896C23—191no—
897C23—191no—
898C23—191no—
899C23—191no—
900C23—191no—
901C23—382no—
902C23—382no—
903C23—382no—
904C23—761no—
905C23—761no—
906C23—761no—
907C23—761no—
908C23—761no—
909C23—761no—
910C23—761no—
911C23—761no—
912C23—761no—
913C23—761no—
914C23—761no—
915C23—761no—
916C23C23×D1911yescharacteristic
917C23C23×D1911yescharacteristic
918C23C23×D1911yescharacteristic
919C23C23×D1911yescharacteristic
920Q8—41no—
921Q8—41no—
922Q8—382no—
923Q8—761no—
924D4—41no—
925D4—41no—
926D4—41no—
927D4—41no—
928D4—41no—
929D4—41no—
930D4—382no—
931D4—382no—
932D4—382no—
933D4—382no—
934D4—382no—
935D4—382no—
936D4—382no—
937D4—761no—
938D4—761no—
939D4—761no—
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—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—382no—
978C2×C4—382no—
979C2×C4—382no—
980C2×C4—382no—
981C2×C4—382no—
982C2×C4—382no—
983C2×C4—382no—
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×C4C23×D1911yescharacteristic
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
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—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—
1044C22C24×D1911yescharacteristic
1045C4—21no—
1046C4—21no—
1047C4—21no—
1048C4—21no—
1049C4—21no—
1050C4—21no—
1051C4—21no—
1052C4—21no—
1053C4—21no—
1054C4—21no—
1055C4—21no—
1056C4—192no—
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—382no—
1070C2—761no—
1071C2—761no—
1072C2—761no—
1073C2—761no—
1074C2—761no—
1075C2—761no—
1076C2H(5,𝔽2)×D1911yescharacteristic
1077C2H(5,𝔽2)×D1911yescharacteristic
1078C2#1192738111yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#562C2
hypercenter#562D19
hypocenterC19#3542
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #562

Complements

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

NH ≅ G/Ntype
1. #11927290C2semidirect
2. #11927284C2semidirect
3. #11927282C2semidirect
4. #11927256C2semidirect
5. #11927239C2semidirect
6. #11927226C2semidirect
7. #11927224C2semidirect
8. #11927221C2semidirect
9. #11927212C2semidirect
10. #11927196C2semidirect
11. #11927186C2semidirect
12. #11927186C2semidirect
13. #11927185C2semidirect
14. #11927183C2semidirect
15. #11927178C2semidirect
16. #11927164C2semidirect
17. #11927150C2semidirect
18. #11927146C2semidirect
19. #11927144C2semidirect
20. #11927134C2semidirect
21. #11927130C2semidirect
22. #11927124C2semidirect
23. #11927112C2semidirect
24. #11927112C2semidirect
25. #11927110C2semidirect
26. #11927105C2semidirect
27. #11927102C2semidirect
28. #11927057C2semidirect
29. #11927052C2semidirect
30. #121×D19C2semidirect
31. C19×#562C2semidirect
32. C2×#64545C22semidirect
33. C2×#64545C22semidirect
34. C2×#64543C22semidirect
37. C2×D4×D19C22semidirect
38. C2×D4×D19C22semidirect
39. C2×D4×D19C22semidirect
40. C2×#64541C22semidirect
41. C2×#64541C22semidirect
43. C22×C4×D19C22semidirect
44. C19×#125C22semidirect
45. C19×#124C22semidirect
46. C19×#124C22semidirect
47. C19×#123C22semidirect
48. C19×#123C22semidirect
49. C19×#123C22semidirect
50. C19×#123C22semidirect
51. C19×C22⋊Q8C22semidirect
52. C19×C22⋊Q8C22semidirect
53. C19×C22⋊Q8C22semidirect
54. C19×C22⋊Q8C22semidirect
55. C19×#121C22semidirect
56. C19×#121C22semidirect
57. C19×#121C22semidirect
58. C19×#121C22semidirect
59. #10597393C22semidirect
60. #10597393C22semidirect
61. #10597393C22semidirect
62. #10597392C22semidirect
63. #10597392C22semidirect
64. #10597390C22semidirect
65. #10597386C22semidirect
66. #10597386C22semidirect
67. #10597386C22semidirect
68. #10597386C22semidirect
70. #10597385C22semidirect
71. #10597385C22semidirect
72. #10597385C22semidirect
73. #10597385C22semidirect
74. #10597385C22semidirect
75. #10597384C22semidirect
76. #10597384C22semidirect
78. #10597383C22semidirect
79. #10597383C22semidirect
80. #10597383C22semidirect
81. #10597383C22semidirect
82. #10597381C22semidirect
83. #10597376C22semidirect
84. #10597376C22semidirect
85. #10597376C22semidirect
86. #10597376C22semidirect
87. #10597375C22semidirect
88. #10597375C22semidirect
89. C4×C22⋊D19C22semidirect
90. C4×C22⋊D19C22semidirect
91. C4×C22⋊D19C22semidirect
92. C4×C22⋊D19C22semidirect
93. C2×(C2×D19)⋊C4C22semidirect
94. C2×(C2×D19)⋊C4C22semidirect
95. #10597344C22semidirect
96. #10597344C22semidirect
97. #10597344C22semidirect
98. #10597344C22semidirect
99. #10597343C22semidirect
100. #10597342C22semidirect
101. #10597342C22semidirect
102. #10597342C22semidirect
103. #10597342C22semidirect
105. #10597341C22semidirect
106. #10597341C22semidirect
107. #10597341C22semidirect
108. #10597341C22semidirect
109. #10597341C22semidirect
110. #10597341C22semidirect
111. #10597341C22semidirect
112. #10597341C22semidirect
115. #10597340C22semidirect
116. #10597340C22semidirect
117. #10597340C22semidirect
118. #10597340C22semidirect
119. #10597340C22semidirect
120. #10597340C22semidirect
121. #10597340C22semidirect
122. #10597340C22semidirect
124. #10597339C22semidirect
125. #10597339C22semidirect
126. #10597339C22semidirect
127. #10597339C22semidirect
128. #10597338C22semidirect
129. #10597338C22semidirect
130. C4⋊C4×D19C22semidirect
131. C4⋊C4×D19C22semidirect
132. #10597335C22semidirect
133. #10597335C22semidirect
134. #10597333C22semidirect
135. #10597332C22semidirect
136. #10597331C22semidirect
137. #10597331C22semidirect
138. #10597331C22semidirect
139. #10597331C22semidirect
142. #10597330C22semidirect
143. #10597330C22semidirect
144. #10597330C22semidirect
145. #10597330C22semidirect
146. #10597330C22semidirect
147. #10597330C22semidirect
148. #10597330C22semidirect
149. #10597330C22semidirect
150. #10597330C22semidirect
151. #10597330C22semidirect
152. #10597330C22semidirect
153. #10597330C22semidirect
154. #10597329C22semidirect
155. #10597329C22semidirect
156. #10597329C22semidirect
157. #10597329C22semidirect
160. #10597328C22semidirect
161. #10597328C22semidirect
162. #10597328C22semidirect
163. #10597328C22semidirect
164. #10597328C22semidirect
165. #10597328C22semidirect
166. #10597328C22semidirect
167. #10597328C22semidirect
168. #10597328C22semidirect
169. (C22⋊D19)⋊C4C22semidirect
170. (C22⋊D19)⋊C4C22semidirect
171. (C22⋊D19)⋊C4C22semidirect
172. (C22⋊D19)⋊C4C22semidirect
173. (C22⋊D19)⋊C4C22semidirect
174. (C22⋊D19)⋊C4C22semidirect
175. C22⋊C4×D19C22semidirect
176. C22⋊C4×D19C22semidirect
177. C22⋊C4×D19C22semidirect
178. C22⋊C4×D19C22semidirect
179. #10597325C22semidirect
180. #10597325C22semidirect
181. #10597323C22semidirect
182. #10597323C22semidirect
183. #10597320C22semidirect
184. #10597318C22semidirect
185. #10597318C22semidirect
186. #10597318C22semidirect
527. #562D19semidirect
597. #125C2×D19semidirect
605. #124C2×D19semidirect
606. #124C2×D19semidirect
625. #123C2×D19semidirect
626. #123C2×D19semidirect
627. #123C2×D19semidirect
628. #123C2×D19semidirect
636. C22⋊Q8C2×D19semidirect
637. C22⋊Q8C2×D19semidirect
638. C22⋊Q8C2×D19semidirect
639. C22⋊Q8C2×D19semidirect
675. #121C2×D19semidirect
676. #121C2×D19semidirect
677. #121C2×D19semidirect
678. #121C2×D19semidirect
726. C19#3542semidirect

Maximal subgroups

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

subgroupindex
#119272902
#119272842
#119272822
#119272562
#119272392
#119272262
#119272242
#119272212
#119272122
#119271962
#119271862
#119271852
#119271832
#119271782
#119271642
#119271502
#119271462
#119271442
#119271342
#119271302
#119271242
#119271122
#119271102
#119271052
#119271022
#119270572
#119270522
#121×D192
C19×#5622
#354219