Finite Group Databasebeta

← #20257412

Subgroups — #20257412

Order 6016.

1252 conjugacy classes of subgroups.

The subgroup lattice has 1096 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#15689835C211yesmaximal, characteristic, complemented
2#15689827C211yesmaximal, characteristic, complemented
3#15689824C211yesmaximal, characteristic, complemented
4#15689824C211yesmaximal, characteristic, complemented
5#15689818C211yesmaximal, characteristic, complemented
6#15689816C211yesmaximal, characteristic, complemented
7#15689791C211yesmaximal, characteristic, complemented
8#15689766C211yesmaximal, characteristic, complemented
9#15689765C211yesmaximal, characteristic, complemented
10#15689764C211yesmaximal, characteristic, complemented
11#15689762C211yesmaximal, characteristic, complemented
12#15689760C211yesmaximal, characteristic, complemented
13#15689760C211yesmaximal, characteristic, complemented
14#15689757C211yesmaximal, characteristic, complemented
15#15689755C211yesmaximal, characteristic, complemented
16#15689755C211yesmaximal, characteristic, complemented
17#15689725C211yesmaximal, characteristic, complemented
18#15689723C211yesmaximal, characteristic, complemented
19#15689712C211yesmaximal, characteristic, complemented
20#15689707C211yesmaximal, characteristic, complemented
21#15689706C211yesmaximal, characteristic, complemented
22#15689672C211yesmaximal, characteristic, complemented
23#15689656C211yesmaximal, characteristic, complemented
24#15689632C211yesmaximal, characteristic, complemented
25#15689631C211yesmaximal, characteristic, complemented
26C2×#13093997C211yesmaximal, characteristic, complemented
27#121×D47C211yesmaximal, characteristic, complemented
28#15689596C211yesmaximal, characteristic, complemented
29#15689595C211yesmaximal, characteristic, complemented
30C4×D4×D47C211yesmaximal, characteristic, complemented
31C47×#538C211yesmaximal, characteristic, complemented
32C2×#10625354C2211yescharacteristic, complemented
33C2×#10625350C2211yescharacteristic, complemented
34C2×#10625352C2211yescharacteristic, complemented
35C2×#10625352C2211yescharacteristic, complemented
36C22×D188C2211yescharacteristic, complemented
37C22×C22⋊D47C2211yescharacteristic
38C22×C22⋊D47C2211yescharacteristic, complemented
39C22×C22⋊D47C2211yescharacteristic, complemented
40C2×D4×D47C2211yescharacteristic
41C2×D4×D47C2211yescharacteristic
42C2×D4×D47C2211yescharacteristic, complemented
43C2×D4×D47C2211yescharacteristic, complemented
44C2×D4×D47C2211yescharacteristic, complemented
45C22×C4×D47C2211yescharacteristic, complemented
46C22×C4×D47C2211yescharacteristic, complemented
47#13094022C2211yescharacteristic, complemented
48#13094020C2211yescharacteristic, complemented
49#13094020C2211yescharacteristic, complemented
50#13094020C2211yescharacteristic, complemented
51#13094019C2211yescharacteristic, complemented
52#13094019C2211yescharacteristic, complemented
53#13094018C2211yescharacteristic, complemented
54#13094017C2211yescharacteristic, complemented
55#13094014C2211yescharacteristic, complemented
56#13094014C2211yescharacteristic, complemented
57#13094014C2211yescharacteristic, complemented
58#13094013C2211yescharacteristic, complemented
59#13094012C2211yescharacteristic, complemented
60#13094010C2211yescharacteristic, complemented
61#13094010C2211yescharacteristic, complemented
62#13094010C2211yescharacteristic, complemented
63#13094009C2211yescharacteristic, complemented
64#13094009C2211yescharacteristic, complemented
65#13094009C2211yescharacteristic, complemented
66#13094009C2211yescharacteristic, complemented
67#13094008C2211yescharacteristic, complemented
68#13094008C2211yescharacteristic, complemented
69#13094007C2211yescharacteristic, complemented
70#13094006C2211yescharacteristic, complemented
71#13094006C2211yescharacteristic, complemented
72#13094006C2211yescharacteristic, complemented
73#13094006C2211yescharacteristic, complemented
74#13094005C2211yescharacteristic, complemented
75#13094002C2211yescharacteristic, complemented
76#13094002C2211yescharacteristic, complemented
77#13094002C2211yescharacteristic, complemented
78#13094001C2211yescharacteristic, complemented
79#13094001C2211yescharacteristic, complemented
80#13094000C2211yescharacteristic, complemented
81#13093999C2211yescharacteristic, complemented
82#13093999C2211yescharacteristic, complemented
83#13093999C2211yescharacteristic, complemented
84#13093999C2211yescharacteristic, complemented
85#13093998C2211yescharacteristic, complemented
86#13093997C2211yescharacteristic
87#13093997C2211yescharacteristic, complemented
88#13093997C2211yescharacteristic, complemented
89#13093997C2211yescharacteristic, complemented
90#13093997C2211yescharacteristic, complemented
91#13093997C2211yescharacteristic, complemented
92#13093997C2211yescharacteristic, complemented
93#13093997C2211yescharacteristic, complemented
94#13093997C2211yescharacteristic, complemented
95#13093997C2211yescharacteristic, complemented
96#13093997C2211yescharacteristic, complemented
97#13093997C2211yescharacteristic, complemented
98#13093997C2211yescharacteristic, complemented
99#13093997C2211yescharacteristic, complemented
100#13093997C2211yescharacteristic, complemented
101#13093997C2211yescharacteristic, complemented
102#13093996C2211yescharacteristic, complemented
103#13093996C2211yescharacteristic, complemented
104#13093996C2211yescharacteristic, complemented
105#13093996C2211yescharacteristic, complemented
106#13093996C2211yescharacteristic, complemented
107#13093996C2211yescharacteristic, complemented
108#13093996C2211yescharacteristic, complemented
109#13093996C2211yescharacteristic, complemented
110#13093996C2211yescharacteristic, complemented
111#13093995C2211yescharacteristic, complemented
112#13093995C2211yescharacteristic, complemented
113#13093994C2211yescharacteristic, complemented
114#13093994C2211yescharacteristic, complemented
115#13093994C2211yescharacteristic, complemented
116#13093994C2211yescharacteristic, complemented
117#13093994C2211yescharacteristic, complemented
118#13093994C2211yescharacteristic, complemented
119#13093992C2211yescharacteristic, complemented
120#13093992C2211yescharacteristic, complemented
121#13093992C2211yescharacteristic, complemented
122#13093992C2211yescharacteristic, complemented
123#13093989C2211yescharacteristic, complemented
124C4×D188C2211yescharacteristic, complemented
125C4×D188C2211yescharacteristic, complemented
126C4×D188C2211yescharacteristic, complemented
127D4×Dic47C2211yescharacteristic, complemented
128D4×Dic47C2211yescharacteristic, complemented
129#13093986C2211yescharacteristic, complemented
130#13093986C2211yescharacteristic, complemented
131#13093986C2211yescharacteristic, complemented
132#13093986C2211yescharacteristic, complemented
133C4×C22⋊D47C2211yescharacteristic
134C4×C22⋊D47C2211yescharacteristic
135C4×C22⋊D47C2211yescharacteristic, complemented
136C4×C22⋊D47C2211yescharacteristic, complemented
137C4×C22⋊D47C2211yescharacteristic, complemented
138C4×C22⋊D47C2211yescharacteristic, complemented
139C4×C22⋊D47C2211yescharacteristic, complemented
140(C22⋊D47)⋊C4C2211yescharacteristic
141(C22⋊D47)⋊C4C2211yescharacteristic
142(C22⋊D47)⋊C4C2211yescharacteristic, complemented
143(C22⋊D47)⋊C4C2211yescharacteristic, complemented
144(C22⋊D47)⋊C4C2211yescharacteristic, complemented
145(C22⋊D47)⋊C4C2211yescharacteristic, complemented
146(C22⋊D47)⋊C4C2211yescharacteristic, complemented
147(C22⋊D47)⋊C4C2211yescharacteristic, complemented
148(C22⋊D47)⋊C4C2211yescharacteristic, complemented
149(C22⋊D47)⋊C4C2211yescharacteristic, complemented
150(C22⋊D47)⋊C4C2211yescharacteristic, complemented
151(C22⋊D47)⋊C4C2211yescharacteristic, complemented
152(C22⋊D47)⋊C4C2211yescharacteristic, complemented
153#13093982C2211yescharacteristic, complemented
154#13093981C2211yescharacteristic, complemented
155#13093981C2211yescharacteristic, complemented
156#13093980C2211yescharacteristic, complemented
157#13093980C2211yescharacteristic, complemented
158#13093980C2211yescharacteristic, complemented
159C2×Dic47⋊C4C2211yescharacteristic, complemented
160C4⋊C4×D47C2211yescharacteristic, complemented
161C4⋊C4×D47C2211yescharacteristic, complemented
162C2×C22⋊Dic47C2211yescharacteristic, complemented
163C2×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C2×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C22⋊C4×D47C2211yescharacteristic, complemented
166C22⋊C4×D47C2211yescharacteristic, complemented
167C22⋊C4×D47C2211yescharacteristic, complemented
168C22⋊C4×D47C2211yescharacteristic, complemented
169C22⋊C4×D47C2211yescharacteristic, complemented
170C22⋊C4×D47C2211yescharacteristic, complemented
171C42×D47C2211yescharacteristic, complemented
172#126×C47C2211yescharacteristic, complemented
173#126×C47C2211yescharacteristic, complemented
174#124×C47C2211yescharacteristic, complemented
175#124×C47C2211yescharacteristic, complemented
176#123×C47C2211yescharacteristic, complemented
177#123×C47C2211yescharacteristic, complemented
178C22⋊Q8×C47C2211yescharacteristic, complemented
179#121×C47C2211yescharacteristic, complemented
180#121×C47C2211yescharacteristic, complemented
181#121×C47C2211yescharacteristic, complemented
182#120×C47C2211yescharacteristic, complemented
183#120×C47C2211yescharacteristic, complemented
184C4×D4×C47C2211yescharacteristic, complemented
185C4×D4×C47C2211yescharacteristic, complemented
186C2×C22⋊C4×C47C2211yescharacteristic, complemented
187C24×C47C2311yescharacteristic
188C23×D47C2311yescharacteristic
189C23×D47C2311yescharacteristic
190C23×D47C2311yescharacteristic
191C23×D47C2311yescharacteristic
192C23×D47C2311yescharacteristic
193C2×Q8×C47C2311yescharacteristic
194C2×D4×C47C2311yescharacteristic
195C2×D4×C47C2311yescharacteristic
196C2×D4×C47C2311yescharacteristic
197C2×D4×C47C2311yescharacteristic
198C2×D4×C47C2311yescharacteristic
199C2×D4×C47C2311yescharacteristic
200C2×D4×C47C2311yescharacteristic
201C22×C4×C47C2311yescharacteristic
202C22×C4×C47C2311yescharacteristic
203C22×C4×C47C2311yescharacteristic
204C22×C4×C47C2311yescharacteristic
205C2×C22⋊D47—24no—
206C2×C22⋊D47—42no—
207C2×C22⋊D47—42no—
208C2×C22⋊D47C2311yescharacteristic
209C2×C22⋊D47C2311yescharacteristic
210C2×C22⋊D47C2311yescharacteristic
211C2×C22⋊D47C2311yescharacteristic
212C2×C22⋊D47C2311yescharacteristic
213C2×C22⋊D47C2311yescharacteristic
214C2×C22⋊D47C2311yescharacteristic
215C2×C22⋊D47C2311yescharacteristic
216C2×C22⋊D47C2311yescharacteristic
217C2×C22⋊D47C2311yescharacteristic
218C2×C22⋊D47C2311yescharacteristic
219C2×C22⋊D47C2311yescharacteristic
220C2×C22⋊D47C2311yescharacteristic
221C2×C22⋊D47C2311yescharacteristic
222C2×C22⋊D47C2311yescharacteristic
223C2×C22⋊D47C2311yescharacteristic
224C2×C22⋊D47C2311yescharacteristic
225C2×C22⋊D47C2311yescharacteristic
226C2×C22⋊D47C2311yescharacteristic
227C2×C22⋊D47C2311yescharacteristic
228C22×Dic47C2311yescharacteristic
229C22×Dic47C2311yescharacteristic
230C22×Dic47C2311yescharacteristic
231C22×Dic47C2311yescharacteristic
232C22×Dic47C2311yescharacteristic
233C22×Dic47C2311yescharacteristic
234C22×Dic47C2311yescharacteristic
235#10625354—42no—
236#10625352—42no—
237#10625352—42no—
238D4×D47—24no—
239D4×D47—24no—
240D4×D47—42no—
241D4×D47—42no—
242D4×D47—42no—
243#10625350—42no—
244C2×D188—42no—
245C2×D188C2311yescharacteristic
246C2×D188C2311yescharacteristic
247C2×D188C2311yescharacteristic
248C2×D188C2311yescharacteristic
249C2×D188C2311yescharacteristic
250C2×D188C2311yescharacteristic
251C2×D188C2311yescharacteristic
252C2×D188C2311yescharacteristic
253C2×D188C2311yescharacteristic
254C2×D188C2311yescharacteristic
255C2×C4×D47—42no—
256C2×C4×D47—42no—
257C2×C4×D47C2311yescharacteristic
258C2×C4×D47C2311yescharacteristic
259C2×C4×D47C2311yescharacteristic
260C2×C4×D47C2311yescharacteristic
261C2×C4×D47C2311yescharacteristic
262C2×C4×D47C2311yescharacteristic
263C2×C4×D47C2311yescharacteristic
264C2×C4×D47C2311yescharacteristic
265C2×C4×D47C2311yescharacteristic
266C2×C4×D47C2311yescharacteristic
267C2×C4×D47C2311yescharacteristic
268C2×C4×D47C2311yescharacteristic
269C2×C4×D47C2311yescharacteristic
270C2×C4×D47C2311yescharacteristic
271C2×C4×D47C2311yescharacteristic
272C2×C4×D47C2311yescharacteristic
273C2×Dic94C2311yescharacteristic
274C2×Dic94C2311yescharacteristic
275C4⋊C4×C47C2311yescharacteristic
276C4⋊C4×C47C2311yescharacteristic
277C4⋊C4×C47C2311yescharacteristic
278C4⋊C4×C47C2311yescharacteristic
279C4⋊C4×C47C2311yescharacteristic
280C4⋊C4×C47C2311yescharacteristic
281C22⋊C4×C47C2311yescharacteristic
282C22⋊C4×C47C2311yescharacteristic
283C22⋊C4×C47C2311yescharacteristic
284C22⋊C4×C47C2311yescharacteristic
285C22⋊C4×C47C2311yescharacteristic
286C22⋊C4×C47C2311yescharacteristic
287C22⋊C4×C47C2311yescharacteristic
288C22⋊C4×C47C2311yescharacteristic
289C22⋊C4×C47C2311yescharacteristic
290C22⋊C4×C47C2311yescharacteristic
291C22⋊C4×C47C2311yescharacteristic
292C22⋊C4×C47C2311yescharacteristic
293C22⋊C4×C47C2311yescharacteristic
294C22⋊C4×C47C2311yescharacteristic
295C42×C47C2311yescharacteristic
296C42×C47C2311yescharacteristic
297C22⋊Dic47C2311yescharacteristic
298C22⋊Dic47C2311yescharacteristic
299C22⋊Dic47C2311yescharacteristic
300C22⋊Dic47C2311yescharacteristic
301C22⋊Dic47C2311yescharacteristic
302C22⋊Dic47C2311yescharacteristic
303C22⋊Dic47C2311yescharacteristic
304C22⋊Dic47C2311yescharacteristic
305(C2×D47)⋊C4C2311yescharacteristic
306(C2×D47)⋊C4C2311yescharacteristic
307(C2×D47)⋊C4C2311yescharacteristic
308(C2×D47)⋊C4C2311yescharacteristic
309(C2×D47)⋊C4C2311yescharacteristic
310(C2×D47)⋊C4C2311yescharacteristic
311(C2×D47)⋊C4C2311yescharacteristic
312(C2×D47)⋊C4C2311yescharacteristic
313(C2×D47)⋊C4C2311yescharacteristic
314(C2×D47)⋊C4C2311yescharacteristic
315(C2×D47)⋊C4C2311yescharacteristic
316(C2×D47)⋊C4C2311yescharacteristic
317(C2×D47)⋊C4C2311yescharacteristic
318(C2×D47)⋊C4C2311yescharacteristic
319(C2×D47)⋊C4C2311yescharacteristic
320(C2×D47)⋊C4C2311yescharacteristic
321(C2×D47)⋊C4C2311yescharacteristic
322(C2×D47)⋊C4C2311yescharacteristic
323(C2×D47)⋊C4C2311yescharacteristic
324(C2×D47)⋊C4C2311yescharacteristic
325(C2×D47)⋊C4C2311yescharacteristic
326(C2×D47)⋊C4C2311yescharacteristic
327(C2×D47)⋊C4C2311yescharacteristic
328(C2×D47)⋊C4C2311yescharacteristic
329C4⋊Dic47C2311yescharacteristic
330C4⋊Dic47C2311yescharacteristic
331C4⋊Dic47C2311yescharacteristic
332C4⋊Dic47C2311yescharacteristic
333Dic47⋊C4C2311yescharacteristic
334Dic47⋊C4C2311yescharacteristic
335Dic47⋊C4C2311yescharacteristic
336Dic47⋊C4C2311yescharacteristic
337Dic47⋊C4C2311yescharacteristic
338Dic47⋊C4C2311yescharacteristic
339Dic47⋊C4C2311yescharacteristic
340Dic47⋊C4C2311yescharacteristic
341Dic47⋊C4C2311yescharacteristic
342Dic47⋊C4C2311yescharacteristic
343Dic47⋊C4C2311yescharacteristic
344Dic47⋊C4C2311yescharacteristic
345Dic47⋊C4C2311yescharacteristic
346Dic47⋊C4C2311yescharacteristic
347Dic47⋊C4C2311yescharacteristic
348Dic47⋊C4C2311yescharacteristic
349C4×Dic47C2311yescharacteristic
350C4×Dic47C2311yescharacteristic
351C4×Dic47C2311yescharacteristic
352C4×Dic47C2311yescharacteristic
353C4×Dic47C2311yescharacteristic
354C4×Dic47C2311yescharacteristic
355C4×Dic47C2311yescharacteristic
356C4×Dic47C2311yescharacteristic
357C23×C47—22no—
358C23×C47—41no—
359C23×C47—41no—
360C23×C47C2411yescharacteristic
361C23×C47C2411yescharacteristic
362C23×C47C2411yescharacteristic
363C23×C47C2411yescharacteristic
364C23×C47C2411yescharacteristic
365C22×D47—22no—
366C22×D47—22no—
367C22×D47—22no—
368C22×D47—22no—
369C22×D47—22no—
370C22×D47—22no—
371C22×D47—22no—
372C22×D47—41no—
373C22×D47—41no—
374C22×D47—41no—
375C22×D47—41no—
376C22×D47—41no—
377C22×D47—41no—
378C22×D47—41no—
379C22×D47—41no—
380C22×D47C2411yescharacteristic
381C22×D47C2411yescharacteristic
382C22×D47C2411yescharacteristic
383C22×D47C2411yescharacteristic
384C22×D47C2411yescharacteristic
385C22×D47C2411yescharacteristic
386Q8×C47—41no—
387D4×C47—22no—
388D4×C47—22no—
389D4×C47—41no—
390D4×C47—41no—
391D4×C47—41no—
392D4×C47—41no—
393D4×C47—41no—
394C2×C4×C47—41no—
395C2×C4×C47—41no—
396C2×C4×C47—41no—
397C2×C4×C47—41no—
398C2×C4×C47C2411yescharacteristic
399C2×C4×C47C2411yescharacteristic
400C2×C4×C47C2411yescharacteristic
401C2×C4×C47C2411yescharacteristic
402C2×C4×C47C2411yescharacteristic
403C2×C4×C47C2411yescharacteristic
404C2×C4×C47C2411yescharacteristic
405C2×C4×C47C2411yescharacteristic
406C2×C4×C47C2411yescharacteristic
407C2×C4×C47C2411yescharacteristic
408C22⋊D47—22no—
409C22⋊D47—22no—
410C22⋊D47—22no—
411C22⋊D47—22no—
412C22⋊D47—22no—
413C22⋊D47—22no—
414C22⋊D47—22no—
415C22⋊D47—22no—
416C22⋊D47—22no—
417C22⋊D47—22no—
418C22⋊D47—22no—
419C22⋊D47—41no—
420C22⋊D47—41no—
421C22⋊D47—41no—
422C22⋊D47—41no—
423C22⋊D47—41no—
424C22⋊D47—41no—
425C22⋊D47—41no—
426C22⋊D47—41no—
427C22⋊D47#4114yescomplemented
428C2×Dic47—22no—
429C2×Dic47—22no—
430C2×Dic47—22no—
431C2×Dic47—41no—
432C2×Dic47—41no—
433C2×Dic47—41no—
434C2×Dic47—41no—
435C2×Dic47C2411yescharacteristic
436C2×Dic47C2411yescharacteristic
437C2×Dic47C2411yescharacteristic
438C2×Dic47C2411yescharacteristic
439C2×Dic47C2411yescharacteristic
440C2×Dic47C2411yescharacteristic
441C2×Dic47C2411yescharacteristic
442C2×Dic47C2411yescharacteristic
443C2×Dic47C2411yescharacteristic
444C2×Dic47C2411yescharacteristic
445D188—22no—
446D188—22no—
447D188—22no—
448D188—22no—
449D188—22no—
450D188—41no—
451D188—41no—
452D188—41no—
453D188—41no—
454D188—41no—
455C4×D47—22no—
456C4×D47—22no—
457C4×D47—22no—
458C4×D47—22no—
459C4×D47—22no—
460C4×D47—22no—
461C4×D47—41no—
462C4×D47—41no—
463C4×D47—41no—
464C4×D47—41no—
465C4×D47—41no—
466C4×D47—41no—
467C4×D47—41no—
468C4×D47—41no—
469C4×D47—41no—
470C4×D47—41no—
471Dic94—22no—
472Dic94—41no—
473C22×C47—21no—
474C22×C47—21no—
475C22×C47—21no—
476C22×C47—21no—
477C22×C47—21no—
478C22×C47—21no—
479C22×C47—21no—
480C22×C47—21no—
481C22×C47—21no—
482C22×C47—21no—
483C22×C47—21no—
484C22×C47—21no—
485C22×C47—21no—
486C22×C47—21no—
487C22×C47—82no—
488C22×C47C2×#4112yes—
489C22×C47C2511yescharacteristic
490C2×D47—21no—
491C2×D47—21no—
492C2×D47—21no—
493C2×D47—21no—
494C2×D47—21no—
495C2×D47—21no—
496C2×D47—21no—
497C2×D47—21no—
498C2×D47—21no—
499C2×D47—21no—
500C2×D47—21no—
501C2×D47—21no—
502C2×D47—21no—
503C2×D47—21no—
504C2×D47—21no—
505C2×D47—21no—
506C2×D47—44no—
507C2×D47—44no—
508C2×D47—82no—
509C2×D47—82no—
510C2×D47—82no—
511C2×D47C2×#4112yes—
512C2×D47H(5,𝔽2)12yes—
513C4×C47—21no—
514C4×C47—21no—
515C4×C47—21no—
516C4×C47—21no—
517C4×C47—21no—
518C4×C47—21no—
519C4×C47—21no—
520C4×C47—21no—
521C4×C47—21no—
522C4×C47—21no—
523Dic47—21no—
524Dic47—21no—
525Dic47—21no—
526Dic47—21no—
527Dic47—21no—
528Dic47—21no—
529Dic47—21no—
530Dic47—21no—
531Dic47C2×#4112yes—
532Dic47H(5,𝔽2)12yes—
533#3519—471nomaximal, Sylow
534C2×C47—22no—
535C2×C47—41no—
536C2×C47—41no—
537C2×C47—41no—
538C2×C47—41no—
539C2×C47C22×#4111yescharacteristic
540C2×C47C2×H(5,𝔽2)11yescharacteristic
541C2×C47C2×H(5,𝔽2)11yescharacteristic
542D47—22no—
543D47—22no—
544D47—41no—
545D47—41no—
546D47—41no—
547D47—41no—
548#555—471no—
549#554—471no—
550#553—471no—
551#553—471no—
552#553—471no—
553#553—471no—
554#550—471no—
555#546—471no—
556#546—471no—
557#546—471no—
558#546—471no—
559#546—471no—
560#546—471no—
561D42—471no—
562D42—471no—
563D42—471no—
564#540—471no—
565#540—471no—
566#538—471no—
567#538—471no—
568#538—471no—
569#538D4711yescharacteristic, complemented
570#532—471no—
571#529—471no—
572#525—471no—
573#525—471no—
574C2×#121—471no—
575C2×#121—471no—
576#518—471no—
577#518—471no—
578C2×C4×D4—471no—
579C47#351911yescharacteristic, complemented, Sylow
580C2×#41—471no—
581C2×#41—471no—
582C2×#41—471no—
583C2×#41—471no—
584C22×D4—471no—
585C22×D4—471no—
586C22×D4—471no—
587C22×D4—471no—
588C22×D4—471no—
589C22×D4—471no—
590C22×D4—471no—
591C22×D4—471no—
592C22×D4—471no—
593C23×C4—471no—
594C23×C4—471no—
595C4⋊Q8—471no—
596#127—471no—
597#127—471no—
598#127—471no—
599#126—471no—
600#126—471no—
601#126—471no—
602#126—471no—
603#126C2×D4711yescharacteristic, complemented
604#126C2×D4711yescharacteristic, complemented
605#125—471no—
606#125—471no—
607#125—471no—
608#124—471no—
609#124—471no—
610#124—471no—
611#124—471no—
612#124—471no—
613#124C2×D4711yescharacteristic, complemented
614#124C2×D4711yescharacteristic, complemented
615#123—471no—
616#123—471no—
617#123—471no—
618#123—471no—
619#123—471no—
620#123—471no—
621#123—471no—
622#123—471no—
623#123—471no—
624#123—471no—
625#123—471no—
626#123—471no—
627#123C2×D4711yescharacteristic, complemented
628#123C2×D4711yescharacteristic, complemented
629C22⋊Q8—471no—
630C22⋊Q8—471no—
631C22⋊Q8—471no—
632C22⋊Q8—471no—
633C22⋊Q8—471no—
634C22⋊Q8—471no—
635C22⋊Q8C2×D4711yescharacteristic, complemented
636#121—471no—
637#121—471no—
638#121—471no—
639#121—471no—
640#121—471no—
641#121—471no—
642#121—471no—
643#121—471no—
644#121—471no—
645#121—471no—
646#121—471no—
647#121—471no—
648#121—471no—
649#121—471no—
650#121—471no—
651#121—471no—
652#121—471no—
653#121—471no—
654#121—471no—
655#121—471no—
656#121—471no—
657#121—471no—
658#121—471no—
659#121—471no—
660#121—471no—
661#121—471no—
662#121—471no—
663#121—471no—
664#121—471no—
665#121—471no—
666#121—471no—
667#121—471no—
668#121C2×D4711yescharacteristic, complemented
669#121C2×D4711yescharacteristic, complemented
670#121C2×D4711yescharacteristic, complemented
671#120—471no—
672#120—471no—
673#120—471no—
674#120—471no—
675#120—471no—
676#120—471no—
677#120—471no—
678#120—471no—
679#120—471no—
680#120—471no—
681#120C2×D4711yescharacteristic, complemented
682#120C2×D4711yescharacteristic, complemented
683C4×Q8—471no—
684C4×D4—471no—
685C4×D4—471no—
686C4×D4—471no—
687C4×D4—471no—
688C4×D4—471no—
689C4×D4—471no—
690C4×D4—471no—
691C4×D4—471no—
692C4×D4—471no—
693C4×D4—471no—
694C4×D4—471no—
695C4×D4—471no—
696C4×D4—471no—
697C4×D4—471no—
698C4×D4—471no—
699C4×D4—471no—
700C4×D4—471no—
701C4×D4—471no—
702C4×D4—471no—
703C4×D4—471no—
704C4×D4—471no—
705C4×D4—471no—
706C4×D4—471no—
707C4×D4—471no—
708C4×D4—471no—
709C4×D4—471no—
710C4×D4—471no—
711C4×D4—471no—
712C4×D4—471no—
713C4×D4C2×D4711yescharacteristic, complemented
714C4×D4C2×D4711yescharacteristic, complemented
715#117—471no—
716#117—471no—
717#117—471no—
718#117—471no—
719#117—471no—
720#117—471no—
721C2×C4⋊C4—471no—
722C2×C4⋊C4—471no—
723C2×C4⋊C4—471no—
724C2×C22⋊C4—471no—
725C2×C22⋊C4—471no—
726C2×C22⋊C4—471no—
727C2×C22⋊C4—471no—
728C2×C22⋊C4—471no—
729C2×C22⋊C4—471no—
730C2×C22⋊C4—471no—
731C2×C22⋊C4—471no—
732C2×C22⋊C4—471no—
733C2×C22⋊C4C2×D4711yescharacteristic, complemented
734C2×C42—471no—
735C24—471no—
736C24—471no—
737C24—471no—
738C24—471no—
739C24—471no—
740C24C22×D4711yescharacteristic
741#41—1882no—
742#41—1882no—
743#41—1882no—
744#41—1882no—
745C2×Q8—471no—
746C2×Q8—471no—
747C2×Q8C22×D4711yescharacteristic
748C2×D4—471no—
749C2×D4—471no—
750C2×D4—471no—
751C2×D4—471no—
752C2×D4—471no—
753C2×D4—471no—
754C2×D4—471no—
755C2×D4—471no—
756C2×D4—471no—
757C2×D4—471no—
758C2×D4—471no—
759C2×D4—471no—
760C2×D4—471no—
761C2×D4—471no—
762C2×D4—471no—
763C2×D4—471no—
764C2×D4—471no—
765C2×D4—471no—
766C2×D4—471no—
767C2×D4—471no—
768C2×D4—471no—
769C2×D4—471no—
770C2×D4—471no—
771C2×D4—471no—
772C2×D4—471no—
773C2×D4—471no—
774C2×D4—471no—
775C2×D4—471no—
776C2×D4—471no—
777C2×D4—471no—
778C2×D4—944no—
779C2×D4—944no—
780C2×D4—944no—
781C2×D4—1882no—
782C2×D4—1882no—
783C2×D4—1882no—
784C2×D4—1882no—
785C2×D4—1882no—
786C2×D4—1882no—
787C2×D4C22×D4711yescharacteristic
788C2×D4C22×D4711yescharacteristic
789C2×D4C22×D4711yescharacteristic
790C2×D4C22×D4711yescharacteristic
791C2×D4C22×D4711yescharacteristic
792C2×D4C22×D4711yescharacteristic
793C2×D4C22×D4711yescharacteristic
794C22×C4—471no—
795C22×C4—471no—
796C22×C4—471no—
797C22×C4—471no—
798C22×C4—471no—
799C22×C4—471no—
800C22×C4—471no—
801C22×C4—471no—
802C22×C4—471no—
803C22×C4—471no—
804C22×C4—471no—
805C22×C4—471no—
806C22×C4—471no—
807C22×C4—471no—
808C22×C4—471no—
809C22×C4—471no—
810C22×C4—471no—
811C22×C4—471no—
812C22×C4—471no—
813C22×C4—471no—
814C22×C4—471no—
815C22×C4—471no—
816C22×C4—471no—
817C22×C4—1882no—
818C22×C4—1882no—
819C22×C4C22×D4711yescharacteristic
820C22×C4C22×D4711yescharacteristic
821C22×C4C22×D4711yescharacteristic
822C22×C4C22×D4711yescharacteristic
823C4⋊C4—471no—
824C4⋊C4—471no—
825C4⋊C4—471no—
826C4⋊C4—471no—
827C4⋊C4—471no—
828C4⋊C4—471no—
829C4⋊C4—471no—
830C4⋊C4—471no—
831C4⋊C4—471no—
832C4⋊C4—471no—
833C4⋊C4—471no—
834C4⋊C4—471no—
835C4⋊C4—471no—
836C4⋊C4—471no—
837C4⋊C4—471no—
838C4⋊C4—471no—
839C4⋊C4—471no—
840C4⋊C4—471no—
841C4⋊C4—471no—
842C4⋊C4—471no—
843C4⋊C4C22×D4711yescharacteristic
844C4⋊C4C22×D4711yescharacteristic
845C4⋊C4C22×D4711yescharacteristic
846C4⋊C4C22×D4711yescharacteristic
847C4⋊C4C22×D4711yescharacteristic
848C4⋊C4C22×D4711yescharacteristic
849C22⋊C4—471no—
850C22⋊C4—471no—
851C22⋊C4—471no—
852C22⋊C4—471no—
853C22⋊C4—471no—
854C22⋊C4—471no—
855C22⋊C4—471no—
856C22⋊C4—471no—
857C22⋊C4—471no—
858C22⋊C4—471no—
859C22⋊C4—471no—
860C22⋊C4—471no—
861C22⋊C4—471no—
862C22⋊C4—471no—
863C22⋊C4—471no—
864C22⋊C4—471no—
865C22⋊C4—471no—
866C22⋊C4—471no—
867C22⋊C4—471no—
868C22⋊C4—471no—
869C22⋊C4—471no—
870C22⋊C4—471no—
871C22⋊C4—471no—
872C22⋊C4—471no—
873C22⋊C4—471no—
874C22⋊C4—471no—
875C22⋊C4—471no—
876C22⋊C4—471no—
877C22⋊C4—471no—
878C22⋊C4—471no—
879C22⋊C4—471no—
880C22⋊C4—471no—
881C22⋊C4C22×D4711yescharacteristic
882C22⋊C4C22×D4711yescharacteristic
883C22⋊C4C22×D4711yescharacteristic
884C22⋊C4C22×D4711yescharacteristic
885C22⋊C4C22×D4711yescharacteristic
886C22⋊C4C22×D4711yescharacteristic
887C22⋊C4C22×D4711yescharacteristic
888C22⋊C4C22×D4711yescharacteristic
889C22⋊C4C22×D4711yescharacteristic
890C22⋊C4C22×D4711yescharacteristic
891C22⋊C4C22×D4711yescharacteristic
892C22⋊C4C22×D4711yescharacteristic
893C22⋊C4C22×D4711yescharacteristic
894C22⋊C4C22×D4711yescharacteristic
895C42—471no—
896C42—471no—
897C42—471no—
898C42—471no—
899C42—471no—
900C42—471no—
901C42—471no—
902C42—471no—
903C42C22×D4711yescharacteristic
904C42C22×D4711yescharacteristic
905C23—22no—
906C23—41no—
907C23—41no—
908C23—471no—
909C23—471no—
910C23—471no—
911C23—471no—
912C23—471no—
913C23—471no—
914C23—942no—
915C23—942no—
916C23—942no—
917C23—942no—
918C23—942no—
919C23—942no—
920C23—942no—
921C23—1881no—
922C23—1881no—
923C23—1881no—
924C23—1881no—
925C23—1881no—
926C23—1881no—
927C23—1881no—
928C23—1881no—
929C23C23×D4711yescharacteristic
930C23C23×D4711yescharacteristic
931C23C23×D4711yescharacteristic
932C23C23×D4711yescharacteristic
933C23C23×D4711yescharacteristic
934Q8—41no—
935Q8—942no—
936Q8—1881no—
937D4—22no—
938D4—22no—
939D4—41no—
940D4—41no—
941D4—41no—
942D4—41no—
943D4—41no—
944D4—474no—
945D4—942no—
946D4—942no—
947D4—942no—
948D4—942no—
949D4—942no—
950D4—942no—
951D4—942no—
952D4—942no—
953D4—942no—
954D4—942no—
955D4—942no—
956D4—942no—
957D4—942no—
958D4—942no—
959D4—942no—
960D4—942no—
961D4—1881no—
962D4—1881no—
963D4—1881no—
964D4—1881no—
965D4—1881no—
966D4—1881no—
967D4—1881no—
968D4—1881no—
969D4—1881no—
970D4—1881no—
971D4—1881no—
972D4—1881no—
973D4—1881no—
974C2×C4—41no—
975C2×C4—41no—
976C2×C4—41no—
977C2×C4—41no—
978C2×C4—471no—
979C2×C4—471no—
980C2×C4—471no—
981C2×C4—471no—
982C2×C4—471no—
983C2×C4—471no—
984C2×C4—471no—
985C2×C4—471no—
986C2×C4—471no—
987C2×C4—471no—
988C2×C4—942no—
989C2×C4—942no—
990C2×C4—942no—
991C2×C4—942no—
992C2×C4—942no—
993C2×C4—942no—
994C2×C4—942no—
995C2×C4—942no—
996C2×C4—942no—
997C2×C4—1881no—
998C2×C4—1881no—
999C2×C4—1881no—
1000C2×C4—1881no—
1001C2×C4—1881no—
1002C2×C4—1881no—
1003C2×C4—1881no—
1004C2×C4—1881no—
1005C2×C4—1881no—
1006C2×C4—1881no—
1007C2×C4—1881no—
1008C2×C4—1881no—
1009C2×C4—1881no—
1010C2×C4—1881no—
1011C2×C4C23×D4711yescharacteristic
1012C2×C4C23×D4711yescharacteristic
1013C2×C4C23×D4711yescharacteristic
1014C2×C4C23×D4711yescharacteristic
1015C2×C4C23×D4711yescharacteristic
1016C2×C4C23×D4711yescharacteristic
1017C2×C4C23×D4711yescharacteristic
1018C2×C4C23×D4711yescharacteristic
1019C2×C4C23×D4711yescharacteristic
1020C2×C4C23×D4711yescharacteristic
1021C22—21no—
1022C22—21no—
1023C22—21no—
1024C22—21no—
1025C22—21no—
1026C22—21no—
1027C22—21no—
1028C22—21no—
1029C22—21no—
1030C22—21no—
1031C22—21no—
1032C22—21no—
1033C22—21no—
1034C22—21no—
1035C22—82no—
1036C22—472no—
1037C22—472no—
1038C22—941no—
1039C22—941no—
1040C22—941no—
1041C22—941no—
1042C22—941no—
1043C22—941no—
1044C22—941no—
1045C22—941no—
1046C22—941no—
1047C22—941no—
1048C22—941no—
1049C22—941no—
1050C22—941no—
1051C22—941no—
1052C22—941no—
1053C22—941no—
1054C22—3762no—
1055C22—3762no—
1056C22—3762no—
1057C22—1884no—
1058C22—1884no—
1059C22#41×D4712yes—
1060C22C24×D4711yescharacteristic
1061C4—21no—
1062C4—21no—
1063C4—21no—
1064C4—21no—
1065C4—21no—
1066C4—21no—
1067C4—21no—
1068C4—21no—
1069C4—21no—
1070C4—21no—
1071C4—472no—
1072C4—472no—
1073C4—941no—
1074C4—941no—
1075C4—941no—
1076C4—941no—
1077C4—941no—
1078C4—941no—
1079C4—941no—
1080C4—941no—
1081C2—22no—
1082C2—41no—
1083C2—41no—
1084C2—41no—
1085C2—41no—
1086C2—942no—
1087C2—942no—
1088C2—1881no—
1089C2—1881no—
1090C2—1881no—
1091C2—1881no—
1092C2C2×#41×D4711yescharacteristic
1093C2H(5,𝔽2)×D4711yescharacteristic
1094C2H(5,𝔽2)×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C24×D47
commutator, socleC22×C47C25
FittingC47×#538C2
hypercenter#538D47
hypocenterC47#3519
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #538

Complements

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

NH ≅ G/Ntype
1. #15689835C2semidirect
2. #15689827C2semidirect
3. #15689824C2semidirect
4. #15689824C2semidirect
5. #15689818C2semidirect
6. #15689816C2semidirect
7. #15689791C2semidirect
8. #15689766C2semidirect
9. #15689765C2semidirect
10. #15689764C2semidirect
11. #15689762C2semidirect
12. #15689760C2semidirect
13. #15689760C2semidirect
14. #15689757C2semidirect
15. #15689755C2semidirect
16. #15689755C2semidirect
17. #15689725C2semidirect
18. #15689723C2semidirect
19. #15689712C2semidirect
20. #15689707C2semidirect
21. #15689706C2semidirect
22. #15689672C2semidirect
23. #15689656C2semidirect
24. #15689632C2semidirect
25. #15689631C2semidirect
26. C2×#13093997C2semidirect
27. #121×D47C2semidirect
28. #15689596C2semidirect
29. #15689595C2semidirect
30. C4×D4×D47C2semidirect
31. C47×#538C2semidirect
32. C2×#10625354C22semidirect
33. C2×#10625350C22semidirect
34. C2×#10625352C22semidirect
35. C2×#10625352C22semidirect
36. C22×D188C22semidirect
38. C22×C22⋊D47C22semidirect
39. C22×C22⋊D47C22semidirect
42. C2×D4×D47C22semidirect
43. C2×D4×D47C22semidirect
44. C2×D4×D47C22semidirect
45. C22×C4×D47C22semidirect
46. C22×C4×D47C22semidirect
47. #13094022C22semidirect
48. #13094020C22semidirect
49. #13094020C22semidirect
50. #13094020C22semidirect
51. #13094019C22semidirect
52. #13094019C22semidirect
53. #13094018C22semidirect
54. #13094017C22semidirect
55. #13094014C22semidirect
56. #13094014C22semidirect
57. #13094014C22semidirect
58. #13094013C22semidirect
59. #13094012C22semidirect
60. #13094010C22semidirect
61. #13094010C22semidirect
62. #13094010C22semidirect
63. #13094009C22semidirect
64. #13094009C22semidirect
65. #13094009C22semidirect
66. #13094009C22semidirect
67. #13094008C22semidirect
68. #13094008C22semidirect
69. #13094007C22semidirect
70. #13094006C22semidirect
71. #13094006C22semidirect
72. #13094006C22semidirect
73. #13094006C22semidirect
74. #13094005C22semidirect
75. #13094002C22semidirect
76. #13094002C22semidirect
77. #13094002C22semidirect
78. #13094001C22semidirect
79. #13094001C22semidirect
80. #13094000C22semidirect
81. #13093999C22semidirect
82. #13093999C22semidirect
83. #13093999C22semidirect
84. #13093999C22semidirect
85. #13093998C22semidirect
87. #13093997C22semidirect
88. #13093997C22semidirect
89. #13093997C22semidirect
90. #13093997C22semidirect
91. #13093997C22semidirect
92. #13093997C22semidirect
93. #13093997C22semidirect
94. #13093997C22semidirect
95. #13093997C22semidirect
96. #13093997C22semidirect
97. #13093997C22semidirect
98. #13093997C22semidirect
99. #13093997C22semidirect
100. #13093997C22semidirect
101. #13093997C22semidirect
102. #13093996C22semidirect
103. #13093996C22semidirect
104. #13093996C22semidirect
105. #13093996C22semidirect
106. #13093996C22semidirect
107. #13093996C22semidirect
108. #13093996C22semidirect
109. #13093996C22semidirect
110. #13093996C22semidirect
111. #13093995C22semidirect
112. #13093995C22semidirect
113. #13093994C22semidirect
114. #13093994C22semidirect
115. #13093994C22semidirect
116. #13093994C22semidirect
117. #13093994C22semidirect
118. #13093994C22semidirect
119. #13093992C22semidirect
120. #13093992C22semidirect
121. #13093992C22semidirect
122. #13093992C22semidirect
123. #13093989C22semidirect
124. C4×D188C22semidirect
125. C4×D188C22semidirect
126. C4×D188C22semidirect
127. D4×Dic47C22semidirect
128. D4×Dic47C22semidirect
129. #13093986C22semidirect
130. #13093986C22semidirect
131. #13093986C22semidirect
132. #13093986C22semidirect
135. C4×C22⋊D47C22semidirect
136. C4×C22⋊D47C22semidirect
137. C4×C22⋊D47C22semidirect
138. C4×C22⋊D47C22semidirect
139. C4×C22⋊D47C22semidirect
142. (C22⋊D47)⋊C4C22semidirect
143. (C22⋊D47)⋊C4C22semidirect
144. (C22⋊D47)⋊C4C22semidirect
145. (C22⋊D47)⋊C4C22semidirect
146. (C22⋊D47)⋊C4C22semidirect
147. (C22⋊D47)⋊C4C22semidirect
148. (C22⋊D47)⋊C4C22semidirect
149. (C22⋊D47)⋊C4C22semidirect
150. (C22⋊D47)⋊C4C22semidirect
151. (C22⋊D47)⋊C4C22semidirect
152. (C22⋊D47)⋊C4C22semidirect
153. #13093982C22semidirect
154. #13093981C22semidirect
155. #13093981C22semidirect
156. #13093980C22semidirect
157. #13093980C22semidirect
158. #13093980C22semidirect
159. C2×Dic47⋊C4C22semidirect
160. C4⋊C4×D47C22semidirect
161. C4⋊C4×D47C22semidirect
162. C2×C22⋊Dic47C22semidirect
163. C2×(C2×D47)⋊C4C22semidirect
164. C2×(C2×D47)⋊C4C22semidirect
165. C22⋊C4×D47C22semidirect
166. C22⋊C4×D47C22semidirect
167. C22⋊C4×D47C22semidirect
168. C22⋊C4×D47C22semidirect
169. C22⋊C4×D47C22semidirect
170. C22⋊C4×D47C22semidirect
171. C42×D47C22semidirect
172. #126×C47C22semidirect
173. #126×C47C22semidirect
174. #124×C47C22semidirect
175. #124×C47C22semidirect
176. #123×C47C22semidirect
177. #123×C47C22semidirect
178. C22⋊Q8×C47C22semidirect
179. #121×C47C22semidirect
180. #121×C47C22semidirect
181. #121×C47C22semidirect
182. #120×C47C22semidirect
183. #120×C47C22semidirect
184. C4×D4×C47C22semidirect
185. C4×D4×C47C22semidirect
186. C2×C22⋊C4×C47C22semidirect
427. C22⋊D47#41semidirect
569. #538D47semidirect
579. C47#3519semidirect
603. #126C2×D47semidirect
604. #126C2×D47semidirect
613. #124C2×D47semidirect
614. #124C2×D47semidirect
627. #123C2×D47semidirect
628. #123C2×D47semidirect
635. C22⋊Q8C2×D47semidirect
668. #121C2×D47semidirect
669. #121C2×D47semidirect
670. #121C2×D47semidirect
681. #120C2×D47semidirect
682. #120C2×D47semidirect
713. C4×D4C2×D47semidirect
714. C4×D4C2×D47semidirect
733. C2×C22⋊C4C2×D47semidirect