Finite Group Databasebeta

← #14577823

Subgroups — #14577823

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#11927290C211yesmaximal, characteristic, complemented
3#11927285C211yesmaximal, characteristic, complemented
4#11927284C211yesmaximal, characteristic, complemented
5#11927247C211yesmaximal, characteristic, complemented
6#11927245C211yesmaximal, characteristic, complemented
7#11927223C211yesmaximal, characteristic, complemented
8#11927221C211yesmaximal, characteristic, complemented
9#11927190C211yesmaximal, characteristic, complemented
10#11927189C211yesmaximal, characteristic, complemented
11#11927186C211yesmaximal, characteristic, complemented
12#11927185C211yesmaximal, characteristic, complemented
13#11927185C211yesmaximal, characteristic, complemented
14#11927183C211yesmaximal, characteristic, complemented
15D4×D76C211yesmaximal, characteristic, complemented
16#11927178C211yesmaximal, characteristic, complemented
17#11927150C211yesmaximal, characteristic, complemented
18#11927146C211yesmaximal, characteristic, complemented
19#11927142C211yesmaximal, characteristic, complemented
20#11927141C211yesmaximal, characteristic, complemented
21#11927134C211yesmaximal, characteristic, complemented
22#11927133C211yesmaximal, characteristic, complemented
23#11927133C211yesmaximal, characteristic, complemented
24#11927124C211yesmaximal, characteristic, complemented
25#11927105C211yesmaximal, characteristic, complemented
26#11927105C211yesmaximal, characteristic, complemented
27#11927105C211yesmaximal, characteristic, complemented
28#11927052C211yesmaximal, characteristic, complemented
29#123×D19C211yesmaximal, characteristic, complemented
30C2×#10597341C211yesmaximal, characteristic, complemented
31C19×#539C211yesmaximal, characteristic, complemented
32C2×#64545C2211yescharacteristic, complemented
33C2×#64543C2211yescharacteristic, complemented
34C2×D4×D19C2211yescharacteristic
35C2×D4×D19C2211yescharacteristic, complemented
36C2×D4×D19C2211yescharacteristic, complemented
37C2×D4×D19C2211yescharacteristic, complemented
38C2×#64541C2211yescharacteristic, complemented
39C22×D76C2211yescharacteristic, complemented
40C22×D76C2211yescharacteristic, complemented
41C22×D76C2211yescharacteristic, complemented
42C22×D76C2211yescharacteristic, complemented
43C22×C4×D19C2211yescharacteristic, complemented
44C19×#126C2211yescharacteristic, complemented
45C19×#126C2211yescharacteristic, complemented
46C19×#125C2211yescharacteristic, complemented
47C19×#125C2211yescharacteristic, complemented
48C19×#123C2211yescharacteristic, complemented
49C19×#123C2211yescharacteristic, complemented
50C19×#123C2211yescharacteristic, complemented
51C19×#123C2211yescharacteristic, complemented
52C19×C22⋊Q8C2211yescharacteristic, complemented
53C19×C22⋊Q8C2211yescharacteristic, complemented
54C19×C22⋊Q8C2211yescharacteristic, complemented
55C19×#121C2211yescharacteristic
56C4×D4×C19C2211yescharacteristic, complemented
57C4×D4×C19C2211yescharacteristic, complemented
58C2×C4⋊C4×C19C2211yescharacteristic, complemented
59#10597393C2211yescharacteristic, complemented
60#10597393C2211yescharacteristic, complemented
61#10597392C2211yescharacteristic, complemented
62#10597386C2211yescharacteristic, complemented
63#10597385C2211yescharacteristic, complemented
64#10597383C2211yescharacteristic
65#10597383C2211yescharacteristic, complemented
66#10597383C2211yescharacteristic, complemented
67#10597383C2211yescharacteristic, complemented
68#10597381C2211yescharacteristic, complemented
69#10597376C2211yescharacteristic
70#10597376C2211yescharacteristic, complemented
71#10597376C2211yescharacteristic, complemented
72#10597376C2211yescharacteristic, complemented
73#10597375C2211yescharacteristic, complemented
74#10597375C2211yescharacteristic, complemented
75#10597375C2211yescharacteristic, complemented
76C4×C22⋊D19C2211yescharacteristic, complemented
77C4×C22⋊D19C2211yescharacteristic, complemented
78C4×C22⋊D19C2211yescharacteristic, complemented
79C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
80C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
81C2×(C2×D19)⋊C4C2211yescharacteristic, complemented
82#10597370C2211yescharacteristic, complemented
83#10597344C2211yescharacteristic, complemented
84#10597344C2211yescharacteristic, complemented
85#10597344C2211yescharacteristic, complemented
86#10597344C2211yescharacteristic, complemented
87#10597344C2211yescharacteristic, complemented
88#10597343C2211yescharacteristic, complemented
89#10597342C2211yescharacteristic, complemented
90#10597342C2211yescharacteristic, complemented
91#10597342C2211yescharacteristic, complemented
92#10597342C2211yescharacteristic, complemented
93#10597342C2211yescharacteristic, complemented
94#10597342C2211yescharacteristic, complemented
95#10597341C2211yescharacteristic
96#10597341C2211yescharacteristic, complemented
97#10597341C2211yescharacteristic, complemented
98#10597341C2211yescharacteristic, complemented
99#10597341C2211yescharacteristic, complemented
100#10597341C2211yescharacteristic, complemented
101#10597341C2211yescharacteristic, complemented
102#10597341C2211yescharacteristic, complemented
103#10597341C2211yescharacteristic, complemented
104#10597341C2211yescharacteristic, complemented
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#10597341C2211yescharacteristic, 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#10597339C2211yescharacteristic, complemented
132#10597339C2211yescharacteristic, complemented
133#10597339C2211yescharacteristic, complemented
134#10597338C2211yescharacteristic, complemented
135C4⋊C4×D19C2211yescharacteristic, complemented
136C4⋊C4×D19C2211yescharacteristic, complemented
137#10597335C2211yescharacteristic, complemented
138#10597335C2211yescharacteristic, complemented
139#10597332C2211yescharacteristic, complemented
140#10597332C2211yescharacteristic, complemented
141#10597331C2211yescharacteristic, complemented
142#10597331C2211yescharacteristic, 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#10597328C2211yescharacteristic
158#10597328C2211yescharacteristic, complemented
159#10597328C2211yescharacteristic, complemented
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
172C22⋊C4×D19C2211yescharacteristic, complemented
173C22⋊C4×D19C2211yescharacteristic, complemented
174C22⋊C4×D19C2211yescharacteristic, complemented
175C22⋊C4×D19C2211yescharacteristic, complemented
176C22⋊C4×D19C2211yescharacteristic, complemented
177C22⋊C4×D19C2211yescharacteristic, complemented
178#10597323C2211yescharacteristic, complemented
179#10597322C2211yescharacteristic, complemented
180#10597321C2211yescharacteristic, complemented
181#10597321C2211yescharacteristic, complemented
182#10597320C2211yescharacteristic, complemented
183C4×D76C2211yescharacteristic, complemented
184C4×D76C2211yescharacteristic, complemented
185C4×D76C2211yescharacteristic, complemented
186#10597318C2211yescharacteristic, complemented
187C23×D19C2311yescharacteristic
188C23×D19C2311yescharacteristic
189C23×D19C2311yescharacteristic
190C23×D19C2311yescharacteristic
191C23×D19C2311yescharacteristic
192C23×D19C2311yescharacteristic
193C2×Q8×C19C2311yescharacteristic
194C2×D4×C19C2311yescharacteristic
195C2×D4×C19C2311yescharacteristic
196C2×D4×C19C2311yescharacteristic
197C22×C4×C19C2311yescharacteristic
198C22×C4×C19C2311yescharacteristic
199C22×C4×C19C2311yescharacteristic
200C22×C4×C19C2311yescharacteristic
201C22×C4×C19C2311yescharacteristic
202C2×C22⋊D19C2311yescharacteristic
203C2×C22⋊D19C2311yescharacteristic
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
214C22×Dic19C2311yescharacteristic
215C22×Dic19C2311yescharacteristic
216#64545—42no—
217#64543—42no—
218D4×D19—42no—
219D4×D19—42no—
220D4×D19—42no—
221D4×D19—42no—
222#64541—42no—
223C2×D76—42no—
224C2×D76—42no—
225C2×D76—42no—
226C2×D76—42no—
227C2×D76C2311yescharacteristic
228C2×D76C2311yescharacteristic
229C2×D76C2311yescharacteristic
230C2×D76C2311yescharacteristic
231C2×D76C2311yescharacteristic
232C2×D76C2311yescharacteristic
233C2×D76C2311yescharacteristic
234C2×D76C2311yescharacteristic
235C2×D76C2311yescharacteristic
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×C4×D19—42no—
250C2×C4×D19C2311yescharacteristic
251C2×C4×D19C2311yescharacteristic
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×C4×D19C2311yescharacteristic
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
278C4⋊C4×C19C2311yescharacteristic
279C4⋊C4×C19C2311yescharacteristic
280C4⋊C4×C19C2311yescharacteristic
281C4⋊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
293C42×C19C2311yescharacteristic
294C22⋊Dic19C2311yescharacteristic
295C22⋊Dic19C2311yescharacteristic
296C22⋊Dic19C2311yescharacteristic
297C22⋊Dic19C2311yescharacteristic
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
331(C2×D19)⋊C4C2311yescharacteristic
332(C2×D19)⋊C4C2311yescharacteristic
333(C2×D19)⋊C4C2311yescharacteristic
334C4⋊Dic19C2311yescharacteristic
335C4⋊Dic19C2311yescharacteristic
336C4⋊Dic19C2311yescharacteristic
337C4⋊Dic19C2311yescharacteristic
338Dic19⋊C4C2311yescharacteristic
339Dic19⋊C4C2311yescharacteristic
340Dic19⋊C4C2311yescharacteristic
341Dic19⋊C4C2311yescharacteristic
342Dic19⋊C4C2311yescharacteristic
343Dic19⋊C4C2311yescharacteristic
344Dic19⋊C4C2311yescharacteristic
345Dic19⋊C4C2311yescharacteristic
346Dic19⋊C4C2311yescharacteristic
347Dic19⋊C4C2311yescharacteristic
348Dic19⋊C4C2311yescharacteristic
349Dic19⋊C4C2311yescharacteristic
350C4×Dic19C2311yescharacteristic
351C4×Dic19C2311yescharacteristic
352C4×Dic19C2311yescharacteristic
353C4×Dic19C2311yescharacteristic
354C23×C19C2411yescharacteristic
355C23×C19C2411yescharacteristic
356C23×C19C2411yescharacteristic
357C22×D19—22no—
358C22×D19—22no—
359C22×D19—22no—
360C22×D19—22no—
361C22×D19—22no—
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×D19—41no—
374C22×D19—41no—
375C22×D19C2411yescharacteristic
376C22×D19C2411yescharacteristic
377C22×D19C2411yescharacteristic
378C22×D19C2411yescharacteristic
379C22×D19C2411yescharacteristic
380C22×D19C2411yescharacteristic
381C22×D19C2411yescharacteristic
382C22×D19C2411yescharacteristic
383Q8×C19—41no—
384D4×C19—22no—
385D4×C19—22no—
386D4×C19—41no—
387C2×C4×C19—22no—
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
403C2×C4×C19C2411yescharacteristic
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—
416C2×Dic19—22no—
417C2×Dic19—41no—
418C2×Dic19C2411yescharacteristic
419C2×Dic19C2411yescharacteristic
420C2×Dic19C2411yescharacteristic
421C2×Dic19C2411yescharacteristic
422C2×Dic19C2411yescharacteristic
423C2×Dic19C2411yescharacteristic
424C2×Dic19C2411yescharacteristic
425C2×Dic19C2411yescharacteristic
426D76—22no—
427D76—22no—
428D76—22no—
429D76—22no—
430D76—22no—
431D76—41no—
432D76—41no—
433D76—41no—
434D76—41no—
435D76—41no—
436D76—41no—
437D76—41no—
438D76—41no—
439D76—41no—
440D76—41no—
441D76—41no—
442D76—41no—
443D76—41no—
444D76—41no—
445D76—41no—
446D76—41no—
447D76—41no—
448C4×D19—22no—
449C4×D19—41no—
450C4×D19—41no—
451C4×D19—41no—
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—
463C4×D19—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×C19H(5,𝔽2)12yes—
476C22×C19C2511yescharacteristic
477C2×D19—21no—
478C2×D19—21no—
479C2×D19—21no—
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—
518C4×C19—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#553—191no—
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#539D1911yescharacteristic, complemented
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×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—
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#125C2×D1911yescharacteristic, complemented
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#123C2×D1911yescharacteristic, complemented
629#123C2×D1911yescharacteristic, complemented
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⋊Q8C2×D1911yescharacteristic, complemented
642C22⋊Q8C2×D1911yescharacteristic, complemented
643C22⋊Q8C2×D1911yescharacteristic, complemented
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#121—191no—
677#121—191no—
678#121—191no—
679#121C2×D1911yescharacteristic
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×D4—191no—
709C4×D4—191no—
710C4×D4C2×D1911yescharacteristic, complemented
711C4×D4C2×D1911yescharacteristic, complemented
712#117—191no—
713#117—191no—
714#117—191no—
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×Q8C22×D1911yescharacteristic
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—191no—
772C2×D4—191no—
773C2×D4—191no—
774C2×D4—762no—
775C2×D4—762no—
776C2×D4—762no—
777C2×D4—762no—
778C2×D4—762no—
779C2×D4—762no—
780C2×D4—762no—
781C2×D4—762no—
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—191no—
803C22×C4—762no—
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⋊C4C22×D1911yescharacteristic
826C4⋊C4C22×D1911yescharacteristic
827C4⋊C4C22×D1911yescharacteristic
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
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—
892C42—191no—
893C42C22×D1911yescharacteristic
894C42C22×D1911yescharacteristic
895C23—191no—
896C23—191no—
897C23—191no—
898C23—191no—
899C23—191no—
900C23—191no—
901C23—191no—
902C23—191no—
903C23—382no—
904C23—382no—
905C23—382no—
906C23—382no—
907C23—382no—
908C23—761no—
909C23—761no—
910C23—761no—
911C23—761no—
912C23—761no—
913C23—761no—
914C23—761no—
915C23—761no—
916C23—761no—
917C23—761no—
918C23—761no—
919C23—761no—
920C23—761no—
921C23C23×D1911yescharacteristic
922C23C23×D1911yescharacteristic
923C23C23×D1911yescharacteristic
924Q8—41no—
925Q8—761no—
926Q8—761no—
927D4—22no—
928D4—22no—
929D4—41no—
930D4—382no—
931D4—382no—
932D4—382no—
933D4—382no—
934D4—382no—
935D4—382no—
936D4—382no—
937D4—382no—
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—22no—
965C2×C4—41no—
966C2×C4—41no—
967C2×C4—41no—
968C2×C4—41no—
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—761no—
980C2×C4—761no—
981C2×C4—761no—
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×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
1006C2×C4C23×D1911yescharacteristic
1007C22—21no—
1008C22—21no—
1009C22—21no—
1010C22—21no—
1011C22—21no—
1012C22—21no—
1013C22—21no—
1014C22—21no—
1015C22—192no—
1016C22—381no—
1017C22—381no—
1018C22—381no—
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—21no—
1059C4—381no—
1060C4—381no—
1061C4—381no—
1062C4—381no—
1063C4—381no—
1064C4—381no—
1065C4—381no—
1066C4—381no—
1067C2—22no—
1068C2—41no—
1069C2—41no—
1070C2—382no—
1071C2—761no—
1072C2—761no—
1073C2—761no—
1074C2—761no—
1075C2—761no—
1076C2—761no—
1077C2—761no—
1078C2H(5,𝔽2)×D1911yescharacteristic
1079C2C2×#1059743511yescharacteristic
1080C2#1192738111yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#539C2
hypercenter#539D19
hypocenterC19#3534
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #539

Complements

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

NH ≅ G/Ntype
1. #11927292C2semidirect
2. #11927290C2semidirect
3. #11927285C2semidirect
4. #11927284C2semidirect
5. #11927247C2semidirect
6. #11927245C2semidirect
7. #11927223C2semidirect
8. #11927221C2semidirect
9. #11927190C2semidirect
10. #11927189C2semidirect
11. #11927186C2semidirect
12. #11927185C2semidirect
13. #11927185C2semidirect
14. #11927183C2semidirect
15. D4×D76C2semidirect
16. #11927178C2semidirect
17. #11927150C2semidirect
18. #11927146C2semidirect
19. #11927142C2semidirect
20. #11927141C2semidirect
21. #11927134C2semidirect
22. #11927133C2semidirect
23. #11927133C2semidirect
24. #11927124C2semidirect
25. #11927105C2semidirect
26. #11927105C2semidirect
27. #11927105C2semidirect
28. #11927052C2semidirect
29. #123×D19C2semidirect
30. C2×#10597341C2semidirect
31. C19×#539C2semidirect
32. C2×#64545C22semidirect
33. C2×#64543C22semidirect
35. C2×D4×D19C22semidirect
36. C2×D4×D19C22semidirect
37. C2×D4×D19C22semidirect
38. C2×#64541C22semidirect
39. C22×D76C22semidirect
40. C22×D76C22semidirect
41. C22×D76C22semidirect
42. C22×D76C22semidirect
43. C22×C4×D19C22semidirect
44. C19×#126C22semidirect
45. C19×#126C22semidirect
46. C19×#125C22semidirect
47. C19×#125C22semidirect
48. C19×#123C22semidirect
49. C19×#123C22semidirect
50. C19×#123C22semidirect
51. C19×#123C22semidirect
52. C19×C22⋊Q8C22semidirect
53. C19×C22⋊Q8C22semidirect
54. C19×C22⋊Q8C22semidirect
56. C4×D4×C19C22semidirect
57. C4×D4×C19C22semidirect
58. C2×C4⋊C4×C19C22semidirect
59. #10597393C22semidirect
60. #10597393C22semidirect
61. #10597392C22semidirect
62. #10597386C22semidirect
63. #10597385C22semidirect
65. #10597383C22semidirect
66. #10597383C22semidirect
67. #10597383C22semidirect
68. #10597381C22semidirect
70. #10597376C22semidirect
71. #10597376C22semidirect
72. #10597376C22semidirect
73. #10597375C22semidirect
74. #10597375C22semidirect
75. #10597375C22semidirect
76. C4×C22⋊D19C22semidirect
77. C4×C22⋊D19C22semidirect
78. C4×C22⋊D19C22semidirect
79. C2×(C2×D19)⋊C4C22semidirect
80. C2×(C2×D19)⋊C4C22semidirect
81. C2×(C2×D19)⋊C4C22semidirect
82. #10597370C22semidirect
83. #10597344C22semidirect
84. #10597344C22semidirect
85. #10597344C22semidirect
86. #10597344C22semidirect
87. #10597344C22semidirect
88. #10597343C22semidirect
89. #10597342C22semidirect
90. #10597342C22semidirect
91. #10597342C22semidirect
92. #10597342C22semidirect
93. #10597342C22semidirect
94. #10597342C22semidirect
96. #10597341C22semidirect
97. #10597341C22semidirect
98. #10597341C22semidirect
99. #10597341C22semidirect
100. #10597341C22semidirect
101. #10597341C22semidirect
102. #10597341C22semidirect
103. #10597341C22semidirect
104. #10597341C22semidirect
105. #10597341C22semidirect
106. #10597341C22semidirect
107. #10597341C22semidirect
108. #10597341C22semidirect
109. #10597341C22semidirect
110. #10597341C22semidirect
111. #10597341C22semidirect
112. #10597341C22semidirect
113. #10597341C22semidirect
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. #10597339C22semidirect
132. #10597339C22semidirect
133. #10597339C22semidirect
134. #10597338C22semidirect
135. C4⋊C4×D19C22semidirect
136. C4⋊C4×D19C22semidirect
137. #10597335C22semidirect
138. #10597335C22semidirect
139. #10597332C22semidirect
140. #10597332C22semidirect
141. #10597331C22semidirect
142. #10597331C22semidirect
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
158. #10597328C22semidirect
159. #10597328C22semidirect
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⋊C4×D19C22semidirect
173. C22⋊C4×D19C22semidirect
174. C22⋊C4×D19C22semidirect
175. C22⋊C4×D19C22semidirect
176. C22⋊C4×D19C22semidirect
177. C22⋊C4×D19C22semidirect
178. #10597323C22semidirect
179. #10597322C22semidirect
180. #10597321C22semidirect
181. #10597321C22semidirect
182. #10597320C22semidirect
183. C4×D76C22semidirect
184. C4×D76C22semidirect
185. C4×D76C22semidirect
186. #10597318C22semidirect
547. #539D19semidirect
592. #126C2×D19semidirect
593. #126C2×D19semidirect
596. #125C2×D19semidirect
597. #125C2×D19semidirect
628. #123C2×D19semidirect
629. #123C2×D19semidirect
630. #123C2×D19semidirect
631. #123C2×D19semidirect
641. C22⋊Q8C2×D19semidirect
642. C22⋊Q8C2×D19semidirect
643. C22⋊Q8C2×D19semidirect
710. C4×D4C2×D19semidirect
711. C4×D4C2×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
#119272902
#119272852
#119272842
#119272472
#119272452
#119272232
#119272212
#119271902
#119271892
#119271862
#119271852
#119271832
D4×D762
#119271782
#119271502
#119271462
#119271422
#119271412
#119271342
#119271332
#119271242
#119271052
#119270522
#123×D192
C2×#105973412
C19×#5392
#353419