Finite Group Databasebeta

← #20258071

Subgroups — #20258071

Order 6016.

954 conjugacy classes of subgroups.

The subgroup lattice has 952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#15689872C211yesmaximal, characteristic, complemented
2#15689871C211yesmaximal, characteristic, complemented
3#15689869C211yesmaximal, characteristic, complemented
4#15689864C211yesmaximal, characteristic, complemented
5#15689858C211yesmaximal, characteristic, complemented
6#15689845C211yesmaximal, characteristic, complemented
7#15689839C211yesmaximal, characteristic, complemented
8#15689826C211yesmaximal, characteristic, complemented
9#15689824C211yesmaximal, characteristic, complemented
10#15689817C211yesmaximal, characteristic, complemented
11#15689811C211yesmaximal, characteristic, complemented
12#15689809C211yesmaximal, characteristic, complemented
13#15689805C211yesmaximal, characteristic, complemented
14#15689800C211yesmaximal, characteristic, complemented
15#15689798C211yesmaximal, characteristic, complemented
16#15689797C211yesmaximal, characteristic, complemented
17#15689745C211yesmaximal, characteristic, complemented
18#15689743C211yesmaximal, characteristic, complemented
19#15689739C211yesmaximal, characteristic, complemented
20#15689732C211yesmaximal, characteristic, complemented
21#15689729C211yesmaximal, characteristic, complemented
22#15689721C211yesmaximal, characteristic, complemented
23#15689721C211yesmaximal, characteristic, complemented
24#15689721C211yesmaximal, characteristic, complemented
25#15689713C211yesmaximal, characteristic, complemented
26#15689712C211yesmaximal, characteristic, complemented
27#15689712C211yesmaximal, characteristic, complemented
28#15689660C211yesmaximal, characteristic, complemented
29#15689658C211yesmaximal, characteristic, complemented
30#15689656C211yesmaximal, characteristic, complemented
31C47×#541C211yesmaximal, characteristic, complemented
32#13094023C2211yescharacteristic, complemented
33#13094022C2211yescharacteristic, complemented
34#13094021C2211yescharacteristic
35#13094019C2211yescharacteristic
36#13094019C2211yescharacteristic
37#13094019C2211yescharacteristic
38#13094019C2211yescharacteristic
39#13094019C2211yescharacteristic
40#13094019C2211yescharacteristic
41#13094019C2211yescharacteristic
42#13094019C2211yescharacteristic, complemented
43#13094019C2211yescharacteristic, complemented
44#13094019C2211yescharacteristic, complemented
45#13094018C2211yescharacteristic
46#13094018C2211yescharacteristic
47#13094018C2211yescharacteristic, complemented
48#13094018C2211yescharacteristic, complemented
49#13094018C2211yescharacteristic, complemented
50#13094017C2211yescharacteristic
51#13094015C2211yescharacteristic, complemented
52#13094015C2211yescharacteristic, complemented
53#13094014C2211yescharacteristic, complemented
54#13094014C2211yescharacteristic, complemented
55#13094014C2211yescharacteristic, complemented
56#13094014C2211yescharacteristic, complemented
57#13094014C2211yescharacteristic, complemented
58#13094013C2211yescharacteristic
59#13094013C2211yescharacteristic
60#13094013C2211yescharacteristic
61#13094013C2211yescharacteristic, complemented
62#13094013C2211yescharacteristic, complemented
63#13094012C2211yescharacteristic
64#13094012C2211yescharacteristic
65#13094012C2211yescharacteristic
66#13094012C2211yescharacteristic, complemented
67#13094010C2211yescharacteristic
68#13094010C2211yescharacteristic
69#13094010C2211yescharacteristic
70#13094009C2211yescharacteristic
71#13094009C2211yescharacteristic
72#13094009C2211yescharacteristic
73#13094009C2211yescharacteristic
74#13094009C2211yescharacteristic
75#13094009C2211yescharacteristic
76#13094009C2211yescharacteristic
77#13094009C2211yescharacteristic
78#13094009C2211yescharacteristic
79#13094009C2211yescharacteristic
80#13094009C2211yescharacteristic
81#13094009C2211yescharacteristic
82#13094009C2211yescharacteristic
83#13094009C2211yescharacteristic, complemented
84#13094009C2211yescharacteristic, complemented
85#13094009C2211yescharacteristic, complemented
86#13094009C2211yescharacteristic, complemented
87#13094009C2211yescharacteristic, complemented
88#13094009C2211yescharacteristic, complemented
89#13094008C2211yescharacteristic
90#13094007C2211yescharacteristic
91#13094006C2211yescharacteristic
92#13094006C2211yescharacteristic
93#13094006C2211yescharacteristic
94#13094004C2211yescharacteristic
95#13094004C2211yescharacteristic, complemented
96#13094004C2211yescharacteristic, complemented
97#13094002C2211yescharacteristic
98#13094002C2211yescharacteristic
99#13094002C2211yescharacteristic
100#13094002C2211yescharacteristic
101#13094002C2211yescharacteristic, complemented
102#13094002C2211yescharacteristic, complemented
103#13094002C2211yescharacteristic, complemented
104#13094002C2211yescharacteristic, complemented
105#13094002C2211yescharacteristic, complemented
106#13094002C2211yescharacteristic, complemented
107#13094001C2211yescharacteristic
108#13094000C2211yescharacteristic
109#13094000C2211yescharacteristic, complemented
110#13093999C2211yescharacteristic
111#13093999C2211yescharacteristic
112#13093999C2211yescharacteristic
113#13093999C2211yescharacteristic
114#13093999C2211yescharacteristic
115#13093999C2211yescharacteristic
116#13093999C2211yescharacteristic
117#13093999C2211yescharacteristic
118#13093999C2211yescharacteristic
119#13093999C2211yescharacteristic, complemented
120#13093999C2211yescharacteristic, complemented
121#13093999C2211yescharacteristic, complemented
122#13093998C2211yescharacteristic
123#13093997C2211yescharacteristic
124#13093997C2211yescharacteristic
125#13093997C2211yescharacteristic
126#13093997C2211yescharacteristic
127#13093997C2211yescharacteristic
128#13093994C2211yescharacteristic
129#13093994C2211yescharacteristic
130#13093994C2211yescharacteristic
131#13093994C2211yescharacteristic
132C4×Dic94C2211yescharacteristic, complemented
133C4×Dic94C2211yescharacteristic, complemented
134#13093989C2211yescharacteristic, complemented
135#13093989C2211yescharacteristic, complemented
136C4×D188C2211yescharacteristic
137C4×D188C2211yescharacteristic
138C4×D188C2211yescharacteristic
139C4×D188C2211yescharacteristic
140C4×D188C2211yescharacteristic, complemented
141C4×D188C2211yescharacteristic, complemented
142C4×D188C2211yescharacteristic, complemented
143#13093986C2211yescharacteristic
144#13093986C2211yescharacteristic
145#13093986C2211yescharacteristic
146#13093986C2211yescharacteristic
147#13093986C2211yescharacteristic, complemented
148#13093986C2211yescharacteristic, complemented
149#13093986C2211yescharacteristic, complemented
150C4×C22⋊D47C2211yescharacteristic
151(C22⋊D47)⋊C4C2211yescharacteristic
152(C22⋊D47)⋊C4C2211yescharacteristic
153(C22⋊D47)⋊C4C2211yescharacteristic
154#13093982C2211yescharacteristic
155#13093982C2211yescharacteristic
156#13093982C2211yescharacteristic, complemented
157#13093982C2211yescharacteristic, complemented
158#13093982C2211yescharacteristic, complemented
159#13093982C2211yescharacteristic, complemented
160#13093981C2211yescharacteristic
161#13093981C2211yescharacteristic
162#13093981C2211yescharacteristic, complemented
163#13093981C2211yescharacteristic, complemented
164#13093980C2211yescharacteristic
165C4⋊C4×D47C2211yescharacteristic, complemented
166C4⋊C4×D47C2211yescharacteristic, complemented
167C4⋊C4×D47C2211yescharacteristic, complemented
168C2×(C2×D47)⋊C4C2211yescharacteristic
169C22⋊C4×D47C2211yescharacteristic
170C22⋊C4×D47C2211yescharacteristic
171C42×D47C2211yescharacteristic, complemented
172C4⋊Q8×C47C2211yescharacteristic, complemented
173#126×C47C2211yescharacteristic
174#126×C47C2211yescharacteristic
175#126×C47C2211yescharacteristic
176#126×C47C2211yescharacteristic
177#125×C47C2211yescharacteristic, complemented
178#125×C47C2211yescharacteristic, complemented
179#125×C47C2211yescharacteristic, complemented
180#125×C47C2211yescharacteristic, complemented
181#125×C47C2211yescharacteristic, complemented
182C22⋊Q8×C47C2211yescharacteristic
183C22⋊Q8×C47C2211yescharacteristic
184C4×Q8×C47C2211yescharacteristic, complemented
185C4×Q8×C47C2211yescharacteristic, complemented
186#117×C47C2211yescharacteristic
187C23×D47C2311yescharacteristic
188C2×Q8×C47C2311yescharacteristic
189C2×Q8×C47C2311yescharacteristic
190C22×C4×C47C2311yescharacteristic
191C2×C22⋊D47C2311yescharacteristic
192C2×C22⋊D47C2311yescharacteristic
193C2×C22⋊D47C2311yescharacteristic
194C2×C22⋊D47C2311yescharacteristic
195C22×Dic47C2311yescharacteristic
196C2×D188C2311yescharacteristic
197C2×D188C2311yescharacteristic
198C2×D188C2311yescharacteristic
199C2×D188C2311yescharacteristic
200C2×D188C2311yescharacteristic
201C2×D188C2311yescharacteristic
202C2×D188C2311yescharacteristic
203C2×D188C2311yescharacteristic
204C2×D188C2311yescharacteristic
205C2×D188C2311yescharacteristic
206C2×D188C2311yescharacteristic
207C2×D188C2311yescharacteristic
208C2×D188C2311yescharacteristic
209C2×D188C2311yescharacteristic
210C2×C4×D47C2311yescharacteristic
211C2×C4×D47C2311yescharacteristic
212C2×C4×D47C2311yescharacteristic
213C2×C4×D47C2311yescharacteristic
214C2×C4×D47C2311yescharacteristic
215C2×C4×D47C2311yescharacteristic
216C2×C4×D47C2311yescharacteristic
217C2×C4×D47C2311yescharacteristic
218C2×C4×D47C2311yescharacteristic
219C2×C4×D47C2311yescharacteristic
220C2×C4×D47C2311yescharacteristic
221C2×C4×D47C2311yescharacteristic
222C2×C4×D47C2311yescharacteristic
223C2×C4×D47C2311yescharacteristic
224C2×C4×D47C2311yescharacteristic
225C2×C4×D47C2311yescharacteristic
226C2×Dic94C2311yescharacteristic
227C2×Dic94C2311yescharacteristic
228C2×Dic94C2311yescharacteristic
229C2×Dic94C2311yescharacteristic
230C4⋊C4×C47C2311yescharacteristic
231C4⋊C4×C47C2311yescharacteristic
232C4⋊C4×C47C2311yescharacteristic
233C4⋊C4×C47C2311yescharacteristic
234C4⋊C4×C47C2311yescharacteristic
235C4⋊C4×C47C2311yescharacteristic
236C4⋊C4×C47C2311yescharacteristic
237C4⋊C4×C47C2311yescharacteristic
238C4⋊C4×C47C2311yescharacteristic
239C4⋊C4×C47C2311yescharacteristic
240C4⋊C4×C47C2311yescharacteristic
241C4⋊C4×C47C2311yescharacteristic
242C4⋊C4×C47C2311yescharacteristic
243C4⋊C4×C47C2311yescharacteristic
244C4⋊C4×C47C2311yescharacteristic
245C4⋊C4×C47C2311yescharacteristic
246C4⋊C4×C47C2311yescharacteristic
247C4⋊C4×C47C2311yescharacteristic
248C4⋊C4×C47C2311yescharacteristic
249C4⋊C4×C47C2311yescharacteristic
250C22⋊C4×C47C2311yescharacteristic
251C22⋊C4×C47C2311yescharacteristic
252C22⋊C4×C47C2311yescharacteristic
253C22⋊C4×C47C2311yescharacteristic
254C22⋊C4×C47C2311yescharacteristic
255C22⋊C4×C47C2311yescharacteristic
256C42×C47C2311yescharacteristic
257C42×C47C2311yescharacteristic
258C42×C47C2311yescharacteristic
259C42×C47C2311yescharacteristic
260C42×C47C2311yescharacteristic
261C42×C47C2311yescharacteristic
262C22⋊Dic47C2311yescharacteristic
263C22⋊Dic47C2311yescharacteristic
264(C2×D47)⋊C4C2311yescharacteristic
265(C2×D47)⋊C4C2311yescharacteristic
266(C2×D47)⋊C4C2311yescharacteristic
267(C2×D47)⋊C4C2311yescharacteristic
268(C2×D47)⋊C4C2311yescharacteristic
269(C2×D47)⋊C4C2311yescharacteristic
270(C2×D47)⋊C4C2311yescharacteristic
271(C2×D47)⋊C4C2311yescharacteristic
272(C2×D47)⋊C4C2311yescharacteristic
273(C2×D47)⋊C4C2311yescharacteristic
274(C2×D47)⋊C4C2311yescharacteristic
275(C2×D47)⋊C4C2311yescharacteristic
276(C2×D47)⋊C4C2311yescharacteristic
277(C2×D47)⋊C4C2311yescharacteristic
278(C2×D47)⋊C4C2311yescharacteristic
279(C2×D47)⋊C4C2311yescharacteristic
280(C2×D47)⋊C4C2311yescharacteristic
281(C2×D47)⋊C4C2311yescharacteristic
282(C2×D47)⋊C4C2311yescharacteristic
283(C2×D47)⋊C4C2311yescharacteristic
284(C2×D47)⋊C4C2311yescharacteristic
285(C2×D47)⋊C4C2311yescharacteristic
286(C2×D47)⋊C4C2311yescharacteristic
287(C2×D47)⋊C4C2311yescharacteristic
288(C2×D47)⋊C4C2311yescharacteristic
289(C2×D47)⋊C4C2311yescharacteristic
290(C2×D47)⋊C4C2311yescharacteristic
291(C2×D47)⋊C4C2311yescharacteristic
292(C2×D47)⋊C4C2311yescharacteristic
293(C2×D47)⋊C4C2311yescharacteristic
294(C2×D47)⋊C4C2311yescharacteristic
295(C2×D47)⋊C4C2311yescharacteristic
296(C2×D47)⋊C4C2311yescharacteristic
297(C2×D47)⋊C4C2311yescharacteristic
298(C2×D47)⋊C4C2311yescharacteristic
299(C2×D47)⋊C4C2311yescharacteristic
300(C2×D47)⋊C4C2311yescharacteristic
301(C2×D47)⋊C4C2311yescharacteristic
302(C2×D47)⋊C4C2311yescharacteristic
303(C2×D47)⋊C4C2311yescharacteristic
304C4⋊Dic47C2311yescharacteristic
305C4⋊Dic47C2311yescharacteristic
306C4⋊Dic47C2311yescharacteristic
307C4⋊Dic47C2311yescharacteristic
308C4⋊Dic47C2311yescharacteristic
309C4⋊Dic47C2311yescharacteristic
310C4⋊Dic47C2311yescharacteristic
311C4⋊Dic47C2311yescharacteristic
312Dic47⋊C4C2311yescharacteristic
313Dic47⋊C4C2311yescharacteristic
314Dic47⋊C4C2311yescharacteristic
315Dic47⋊C4C2311yescharacteristic
316Dic47⋊C4C2311yescharacteristic
317Dic47⋊C4C2311yescharacteristic
318Dic47⋊C4C2311yescharacteristic
319Dic47⋊C4C2311yescharacteristic
320Dic47⋊C4C2311yescharacteristic
321Dic47⋊C4C2311yescharacteristic
322Dic47⋊C4C2311yescharacteristic
323Dic47⋊C4C2311yescharacteristic
324Dic47⋊C4C2311yescharacteristic
325Dic47⋊C4C2311yescharacteristic
326Dic47⋊C4C2311yescharacteristic
327Dic47⋊C4C2311yescharacteristic
328Dic47⋊C4C2311yescharacteristic
329Dic47⋊C4C2311yescharacteristic
330Dic47⋊C4C2311yescharacteristic
331Dic47⋊C4C2311yescharacteristic
332C4×Dic47C2311yescharacteristic
333C4×Dic47C2311yescharacteristic
334C4×Dic47C2311yescharacteristic
335C4×Dic47C2311yescharacteristic
336C4×Dic47C2311yescharacteristic
337C4×Dic47C2311yescharacteristic
338C4×Dic47C2311yescharacteristic
339C4×Dic47C2311yescharacteristic
340C4×Dic47C2311yescharacteristic
341C4×Dic47C2311yescharacteristic
342C23×C47C2411yescharacteristic
343C22×D47—41no—
344C22×D47—41no—
345C22×D47—41no—
346C22×D47C2411yescharacteristic
347C22×D47C2411yescharacteristic
348C22×D47C2411yescharacteristic
349C22×D47C2411yescharacteristic
350C22×D47C2411yescharacteristic
351C22×D47C2411yescharacteristic
352Q8×C47—41no—
353Q8×C47—41no—
354C2×C4×C47—41no—
355C2×C4×C47C2411yescharacteristic
356C2×C4×C47C2411yescharacteristic
357C2×C4×C47C2411yescharacteristic
358C2×C4×C47C2411yescharacteristic
359C2×C4×C47C2411yescharacteristic
360C2×C4×C47C2411yescharacteristic
361C2×C4×C47C2411yescharacteristic
362C2×C4×C47C2411yescharacteristic
363C2×C4×C47C2411yescharacteristic
364C2×C4×C47C2411yescharacteristic
365C2×C4×C47C2411yescharacteristic
366C2×C4×C47C2411yescharacteristic
367C2×C4×C47C2411yescharacteristic
368C2×C4×C47C2411yescharacteristic
369C22⋊D47—41no—
370C22⋊D47—41no—
371C22⋊D47—41no—
372C22⋊D47—41no—
373C2×Dic47—41no—
374C2×Dic47C2411yescharacteristic
375C2×Dic47C2411yescharacteristic
376C2×Dic47C2411yescharacteristic
377C2×Dic47C2411yescharacteristic
378C2×Dic47C2411yescharacteristic
379C2×Dic47C2411yescharacteristic
380C2×Dic47C2411yescharacteristic
381C2×Dic47C2411yescharacteristic
382C2×Dic47C2411yescharacteristic
383C2×Dic47C2411yescharacteristic
384D188—41no—
385D188—41no—
386D188—41no—
387D188—41no—
388D188—41no—
389D188—41no—
390D188—41no—
391D188—41no—
392D188—41no—
393D188—41no—
394D188—41no—
395D188—41no—
396D188—41no—
397D188—41no—
398C4×D47—41no—
399C4×D47—41no—
400C4×D47—41no—
401C4×D47—41no—
402C4×D47—41no—
403C4×D47—41no—
404C4×D47—41no—
405C4×D47—41no—
406C4×D47—41no—
407C4×D47—41no—
408C4×D47—41no—
409C4×D47—41no—
410C4×D47—41no—
411C4×D47—41no—
412C4×D47—41no—
413C4×D47—41no—
414Dic94—41no—
415Dic94—41no—
416Dic94—41no—
417Dic94—41no—
418C22×C47—21no—
419C22×C47—21no—
420C22×C47—21no—
421C22×C47C2511yescharacteristic
422C2×D47—21no—
423C2×D47—21no—
424C2×D47—21no—
425C2×D47—21no—
426C2×D47—21no—
427C2×D47—21no—
428C2×D47—21no—
429C2×D47—21no—
430C2×D47—21no—
431C2×D47—21no—
432C2×D47—21no—
433C2×D47—21no—
434C2×D47—21no—
435C2×D47—21no—
436C2×D47—21no—
437C2×D47—21no—
438C2×D47—21no—
439C2×D47—21no—
440C2×D47—82no—
441C4×C47—21no—
442C4×C47—21no—
443C4×C47—21no—
444C4×C47—21no—
445C4×C47—21no—
446C4×C47—21no—
447C4×C47—21no—
448C4×C47—21no—
449C4×C47—21no—
450C4×C47—21no—
451C4×C47—21no—
452C4×C47—21no—
453C4×C47—21no—
454C4×C47—21no—
455Dic47—21no—
456Dic47—21no—
457Dic47—21no—
458Dic47—21no—
459Dic47—21no—
460Dic47—21no—
461Dic47—21no—
462Dic47—21no—
463Dic47—21no—
464Dic47—21no—
465#3566—471nomaximal, Sylow
466C2×C47—41no—
467C2×C47#58511yescharacteristic
468C2×C47#58511yescharacteristic
469C2×C47#58511yescharacteristic
470D47—41no—
471D47—41no—
472D47—41no—
473D47—41no—
474D47—41no—
475D47—41no—
476#563—471no—
477#562—471no—
478#562—471no—
479#560—471no—
480#559—471no—
481#556—471no—
482#555—471no—
483#553—471no—
484#553—471no—
485#553—471no—
486#552—471no—
487#552—471no—
488#552—471no—
489#551—471no—
490#551—471no—
491#551—471no—
492#542—471no—
493#542—471no—
494#542—471no—
495#541—471no—
496#541D4711yescharacteristic, complemented
497#540—471no—
498#539—471no—
499#539—471no—
500#539—471no—
501#538—471no—
502#538—471no—
503#538—471no—
504#529—471no—
505#529—471no—
506#529—471no—
507C47#356611yescharacteristic, complemented, Sylow
508C4⋊Q8—471no—
509C4⋊Q8—471no—
510C4⋊Q8C2×D4711yescharacteristic, complemented
511#127—471no—
512#126—471no—
513#126—471no—
514#126—471no—
515#126—471no—
516#126—471no—
517#126—471no—
518#126—471no—
519#126—471no—
520#126—471no—
521#126—471no—
522#126—471no—
523#126—471no—
524#126—471no—
525#126—471no—
526#126—471no—
527#126—471no—
528#126C2×D4711yescharacteristic
529#126C2×D4711yescharacteristic
530#126C2×D4711yescharacteristic
531#126C2×D4711yescharacteristic
532#125—471no—
533#125—471no—
534#125—471no—
535#125—471no—
536#125—471no—
537#125—471no—
538#125—471no—
539#125C2×D4711yescharacteristic, complemented
540#125C2×D4711yescharacteristic, complemented
541#125C2×D4711yescharacteristic, complemented
542#125C2×D4711yescharacteristic, complemented
543#125C2×D4711yescharacteristic, complemented
544#124—471no—
545#124—471no—
546#124—471no—
547#124—471no—
548#124—471no—
549#124—471no—
550#124—471no—
551#124—471no—
552#124—471no—
553#124—471no—
554#124—471no—
555#124—471no—
556#123—471no—
557#123—471no—
558#123—471no—
559#123—471no—
560#123—471no—
561#123—471no—
562#123—471no—
563#123—471no—
564#123—471no—
565#123—471no—
566#123—471no—
567#123—471no—
568#123—471no—
569#123—471no—
570#123—471no—
571#123—471no—
572#123—471no—
573#123—471no—
574#123—471no—
575#123—471no—
576#123—471no—
577#123—471no—
578#123—471no—
579#123—471no—
580C22⋊Q8—471no—
581C22⋊Q8—471no—
582C22⋊Q8—471no—
583C22⋊Q8—471no—
584C22⋊Q8—471no—
585C22⋊Q8—471no—
586C22⋊Q8—471no—
587C22⋊Q8—471no—
588C22⋊Q8—471no—
589C22⋊Q8—471no—
590C22⋊Q8—471no—
591C22⋊Q8—471no—
592C22⋊Q8—471no—
593C22⋊Q8—471no—
594C22⋊Q8—471no—
595C22⋊Q8—471no—
596C22⋊Q8C2×D4711yescharacteristic
597C22⋊Q8C2×D4711yescharacteristic
598#121—471no—
599#121—471no—
600#121—471no—
601#121—471no—
602#121—471no—
603#121—471no—
604#121—471no—
605#121—471no—
606#121—471no—
607#121—471no—
608#121—471no—
609#121—471no—
610#121—471no—
611#121—471no—
612#121—471no—
613#121—471no—
614#121—471no—
615#121—471no—
616#120—471no—
617#120—471no—
618#120—471no—
619#120—471no—
620C4×Q8—471no—
621C4×Q8—471no—
622C4×Q8—471no—
623C4×Q8—471no—
624C4×Q8C2×D4711yescharacteristic, complemented
625C4×Q8C2×D4711yescharacteristic, complemented
626C4×D4—471no—
627C4×D4—471no—
628C4×D4—471no—
629C4×D4—471no—
630C4×D4—471no—
631C4×D4—471no—
632C4×D4—471no—
633C4×D4—471no—
634C4×D4—471no—
635C4×D4—471no—
636C4×D4—471no—
637C4×D4—471no—
638C4×D4—471no—
639C4×D4—471no—
640C4×D4—471no—
641C4×D4—471no—
642C4×D4—471no—
643C4×D4—471no—
644#117—471no—
645#117—471no—
646#117—471no—
647#117—471no—
648#117—471no—
649#117—471no—
650#117—471no—
651#117—471no—
652#117—471no—
653#117—471no—
654#117—471no—
655#117C2×D4711yescharacteristic
656C2×C4⋊C4—471no—
657C2×C4⋊C4—471no—
658C2×C4⋊C4—471no—
659C2×C22⋊C4—471no—
660C2×C22⋊C4—471no—
661C2×C22⋊C4—471no—
662C2×C42—471no—
663C24—471no—
664C2×Q8—471no—
665C2×Q8—471no—
666C2×Q8—471no—
667C2×Q8—471no—
668C2×Q8C22×D4711yescharacteristic
669C2×Q8C22×D4711yescharacteristic
670C2×D4—471no—
671C2×D4—471no—
672C2×D4—471no—
673C2×D4—471no—
674C2×D4—471no—
675C2×D4—471no—
676C2×D4—471no—
677C2×D4—471no—
678C2×D4—471no—
679C2×D4—471no—
680C2×D4—471no—
681C2×D4—471no—
682C2×D4—471no—
683C2×D4—471no—
684C2×D4—471no—
685C2×D4—471no—
686C2×D4—471no—
687C2×D4—471no—
688C22×C4—471no—
689C22×C4—471no—
690C22×C4—471no—
691C22×C4—471no—
692C22×C4—471no—
693C22×C4—471no—
694C22×C4—471no—
695C22×C4—471no—
696C22×C4—471no—
697C22×C4—471no—
698C22×C4—471no—
699C22×C4—471no—
700C22×C4—471no—
701C22×C4—471no—
702C22×C4—471no—
703C22×C4—471no—
704C22×C4—471no—
705C22×C4C22×D4711yescharacteristic
706C4⋊C4—471no—
707C4⋊C4—471no—
708C4⋊C4—471no—
709C4⋊C4—471no—
710C4⋊C4—471no—
711C4⋊C4—471no—
712C4⋊C4—471no—
713C4⋊C4—471no—
714C4⋊C4—471no—
715C4⋊C4—471no—
716C4⋊C4—471no—
717C4⋊C4—471no—
718C4⋊C4—471no—
719C4⋊C4—471no—
720C4⋊C4—471no—
721C4⋊C4—471no—
722C4⋊C4—471no—
723C4⋊C4—471no—
724C4⋊C4—471no—
725C4⋊C4—471no—
726C4⋊C4—471no—
727C4⋊C4—471no—
728C4⋊C4—471no—
729C4⋊C4—471no—
730C4⋊C4—471no—
731C4⋊C4—471no—
732C4⋊C4—471no—
733C4⋊C4—471no—
734C4⋊C4C22×D4711yescharacteristic
735C4⋊C4C22×D4711yescharacteristic
736C4⋊C4C22×D4711yescharacteristic
737C4⋊C4C22×D4711yescharacteristic
738C4⋊C4C22×D4711yescharacteristic
739C4⋊C4C22×D4711yescharacteristic
740C4⋊C4C22×D4711yescharacteristic
741C4⋊C4C22×D4711yescharacteristic
742C4⋊C4C22×D4711yescharacteristic
743C4⋊C4C22×D4711yescharacteristic
744C4⋊C4C22×D4711yescharacteristic
745C4⋊C4C22×D4711yescharacteristic
746C4⋊C4C22×D4711yescharacteristic
747C4⋊C4C22×D4711yescharacteristic
748C4⋊C4C22×D4711yescharacteristic
749C4⋊C4C22×D4711yescharacteristic
750C4⋊C4C22×D4711yescharacteristic
751C4⋊C4C22×D4711yescharacteristic
752C4⋊C4C22×D4711yescharacteristic
753C4⋊C4C22×D4711yescharacteristic
754C22⋊C4—471no—
755C22⋊C4—471no—
756C22⋊C4—471no—
757C22⋊C4—471no—
758C22⋊C4—471no—
759C22⋊C4—471no—
760C22⋊C4—471no—
761C22⋊C4—471no—
762C22⋊C4—471no—
763C22⋊C4—471no—
764C22⋊C4—471no—
765C22⋊C4—471no—
766C22⋊C4—471no—
767C22⋊C4—471no—
768C22⋊C4—471no—
769C22⋊C4—471no—
770C22⋊C4—471no—
771C22⋊C4—471no—
772C22⋊C4—471no—
773C22⋊C4—471no—
774C22⋊C4—471no—
775C22⋊C4—471no—
776C22⋊C4—471no—
777C22⋊C4—471no—
778C22⋊C4—471no—
779C22⋊C4—471no—
780C22⋊C4—471no—
781C22⋊C4—471no—
782C22⋊C4—471no—
783C22⋊C4—471no—
784C22⋊C4—471no—
785C22⋊C4—471no—
786C22⋊C4—471no—
787C22⋊C4—471no—
788C22⋊C4—471no—
789C22⋊C4—471no—
790C22⋊C4—471no—
791C22⋊C4—471no—
792C22⋊C4—471no—
793C22⋊C4—471no—
794C22⋊C4—471no—
795C22⋊C4—471no—
796C22⋊C4C22×D4711yescharacteristic
797C22⋊C4C22×D4711yescharacteristic
798C22⋊C4C22×D4711yescharacteristic
799C22⋊C4C22×D4711yescharacteristic
800C22⋊C4C22×D4711yescharacteristic
801C22⋊C4C22×D4711yescharacteristic
802C42—471no—
803C42—471no—
804C42—471no—
805C42—471no—
806C42—471no—
807C42—471no—
808C42—471no—
809C42—471no—
810C42—471no—
811C42—471no—
812C42C22×D4711yescharacteristic
813C42C22×D4711yescharacteristic
814C42C22×D4711yescharacteristic
815C42C22×D4711yescharacteristic
816C42C22×D4711yescharacteristic
817C42C22×D4711yescharacteristic
818C23—471no—
819C23—471no—
820C23—471no—
821C23—471no—
822C23—471no—
823C23—471no—
824C23—1881no—
825C23—1881no—
826C23—1881no—
827C23C23×D4711yescharacteristic
828Q8—41no—
829Q8—41no—
830Q8—1881no—
831Q8—1881no—
832Q8—1881no—
833Q8—1881no—
834D4—1881no—
835D4—1881no—
836D4—1881no—
837D4—1881no—
838D4—1881no—
839D4—1881no—
840D4—1881no—
841D4—1881no—
842D4—1881no—
843D4—1881no—
844D4—1881no—
845D4—1881no—
846D4—1881no—
847D4—1881no—
848D4—1881no—
849D4—1881no—
850D4—1881no—
851D4—1881no—
852C2×C4—41no—
853C2×C4—471no—
854C2×C4—471no—
855C2×C4—471no—
856C2×C4—471no—
857C2×C4—471no—
858C2×C4—471no—
859C2×C4—471no—
860C2×C4—471no—
861C2×C4—471no—
862C2×C4—471no—
863C2×C4—1881no—
864C2×C4—1881no—
865C2×C4—1881no—
866C2×C4—1881no—
867C2×C4—1881no—
868C2×C4—1881no—
869C2×C4—1881no—
870C2×C4—1881no—
871C2×C4—1881no—
872C2×C4—1881no—
873C2×C4—1881no—
874C2×C4—1881no—
875C2×C4—1881no—
876C2×C4—1881no—
877C2×C4—1881no—
878C2×C4—1881no—
879C2×C4—1881no—
880C2×C4C23×D4711yescharacteristic
881C2×C4C23×D4711yescharacteristic
882C2×C4C23×D4711yescharacteristic
883C2×C4C23×D4711yescharacteristic
884C2×C4C23×D4711yescharacteristic
885C2×C4C23×D4711yescharacteristic
886C2×C4C23×D4711yescharacteristic
887C2×C4C23×D4711yescharacteristic
888C2×C4C23×D4711yescharacteristic
889C2×C4C23×D4711yescharacteristic
890C2×C4C23×D4711yescharacteristic
891C2×C4C23×D4711yescharacteristic
892C2×C4C23×D4711yescharacteristic
893C2×C4C23×D4711yescharacteristic
894C22—21no—
895C22—21no—
896C22—21no—
897C22—941no—
898C22—941no—
899C22—941no—
900C22—941no—
901C22—941no—
902C22—941no—
903C22—941no—
904C22—941no—
905C22—941no—
906C22—941no—
907C22—941no—
908C22—941no—
909C22—941no—
910C22—941no—
911C22—941no—
912C22—941no—
913C22—941no—
914C22—941no—
915C22—3762no—
916C22C24×D4711yescharacteristic
917C4—21no—
918C4—21no—
919C4—21no—
920C4—21no—
921C4—21no—
922C4—21no—
923C4—21no—
924C4—21no—
925C4—21no—
926C4—21no—
927C4—21no—
928C4—21no—
929C4—21no—
930C4—21no—
931C4—941no—
932C4—941no—
933C4—941no—
934C4—941no—
935C4—941no—
936C4—941no—
937C4—941no—
938C4—941no—
939C4—941no—
940C4—941no—
941C2—41no—
942C2—1881no—
943C2—1881no—
944C2—1881no—
945C2—1881no—
946C2—1881no—
947C2—1881no—
948C2#1568995911yescharacteristic
949C2#1568996011yescharacteristic
950C2#1568996011yescharacteristic
subgroupG/H
center, FrattiniC22C24×D47
commutator, socleC22×C47C25
FittingC47×#541C2
hypercenter#541D47
hypocenterC47#3566
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #541

Complements

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

NH ≅ G/Ntype
1. #15689872C2semidirect
2. #15689871C2semidirect
3. #15689869C2semidirect
4. #15689864C2semidirect
5. #15689858C2semidirect
6. #15689845C2semidirect
7. #15689839C2semidirect
8. #15689826C2semidirect
9. #15689824C2semidirect
10. #15689817C2semidirect
11. #15689811C2semidirect
12. #15689809C2semidirect
13. #15689805C2semidirect
14. #15689800C2semidirect
15. #15689798C2semidirect
16. #15689797C2semidirect
17. #15689745C2semidirect
18. #15689743C2semidirect
19. #15689739C2semidirect
20. #15689732C2semidirect
21. #15689729C2semidirect
22. #15689721C2semidirect
23. #15689721C2semidirect
24. #15689721C2semidirect
25. #15689713C2semidirect
26. #15689712C2semidirect
27. #15689712C2semidirect
28. #15689660C2semidirect
29. #15689658C2semidirect
30. #15689656C2semidirect
31. C47×#541C2semidirect
32. #13094023C22semidirect
33. #13094022C22semidirect
42. #13094019C22semidirect
43. #13094019C22semidirect
44. #13094019C22semidirect
47. #13094018C22semidirect
48. #13094018C22semidirect
49. #13094018C22semidirect
51. #13094015C22semidirect
52. #13094015C22semidirect
53. #13094014C22semidirect
54. #13094014C22semidirect
55. #13094014C22semidirect
56. #13094014C22semidirect
57. #13094014C22semidirect
61. #13094013C22semidirect
62. #13094013C22semidirect
66. #13094012C22semidirect
83. #13094009C22semidirect
84. #13094009C22semidirect
85. #13094009C22semidirect
86. #13094009C22semidirect
87. #13094009C22semidirect
88. #13094009C22semidirect
95. #13094004C22semidirect
96. #13094004C22semidirect
101. #13094002C22semidirect
102. #13094002C22semidirect
103. #13094002C22semidirect
104. #13094002C22semidirect
105. #13094002C22semidirect
106. #13094002C22semidirect
109. #13094000C22semidirect
119. #13093999C22semidirect
120. #13093999C22semidirect
121. #13093999C22semidirect
132. C4×Dic94C22semidirect
133. C4×Dic94C22semidirect
134. #13093989C22semidirect
135. #13093989C22semidirect
140. C4×D188C22semidirect
141. C4×D188C22semidirect
142. C4×D188C22semidirect
147. #13093986C22semidirect
148. #13093986C22semidirect
149. #13093986C22semidirect
156. #13093982C22semidirect
157. #13093982C22semidirect
158. #13093982C22semidirect
159. #13093982C22semidirect
162. #13093981C22semidirect
163. #13093981C22semidirect
165. C4⋊C4×D47C22semidirect
166. C4⋊C4×D47C22semidirect
167. C4⋊C4×D47C22semidirect
171. C42×D47C22semidirect
172. C4⋊Q8×C47C22semidirect
177. #125×C47C22semidirect
178. #125×C47C22semidirect
179. #125×C47C22semidirect
180. #125×C47C22semidirect
181. #125×C47C22semidirect
184. C4×Q8×C47C22semidirect
185. C4×Q8×C47C22semidirect
496. #541D47semidirect
507. C47#3566semidirect
510. C4⋊Q8C2×D47semidirect
539. #125C2×D47semidirect
540. #125C2×D47semidirect
541. #125C2×D47semidirect
542. #125C2×D47semidirect
543. #125C2×D47semidirect
624. C4×Q8C2×D47semidirect
625. C4×Q8C2×D47semidirect