Finite Group Databasebeta

← C2×#20257542 #27123397

Subgroups — C2×#20257542 #27123397

Order 12032.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257542C2132yesmaximal, direct product factor
2C2×#15689865C211yesmaximal, characteristic, complemented
3C2×#15689861C212yesmaximal, complemented
4C2×#15689860C211yesmaximal, characteristic, complemented
5C2×#15689803C211yesmaximal, characteristic, complemented
6C2×#15689797C212yesmaximal, complemented
7C2×#15689762C212yesmaximal, complemented
8C2×#15689761C212yesmaximal, complemented
9C2×#15689760C212yesmaximal, complemented
10C2×#15689758C211yesmaximal, characteristic, complemented
11C2×#15689755C212yesmaximal, complemented
12C2×#15689708C212yesmaximal, complemented
13C2×#15689707C212yesmaximal, complemented
14C2×#15689705C212yesmaximal, complemented
15C2×#15689686C212yesmaximal, complemented
16C2×#15689682C211yesmaximal, characteristic, complemented
17C2×#15689681C212yesmaximal, complemented
18C22×#13093992C211yesmaximal, characteristic, complemented
19C2×#120×D47C212yesmaximal, complemented
20C2×C47×#535C211yesmaximal, characteristic, complemented
21C25×D47C2211yescharacteristic, complemented
22C22×#10625352C2212yescomplemented
23C23×C22⋊D47C2212yescomplemented
24C23×C22⋊D47C2211yescharacteristic, complemented
25C22×D4×D47C2212yescomplemented
26C22×D4×D47C2212yescomplemented
27C22×D4×D47C2212yescomplemented
28C22×D4×D47C2212yescomplemented
29#15689865C22116yescomplemented
30#15689861C22132yescomplemented
31#15689860C22116yescomplemented
32#15689803C22116yescomplemented
33#15689797C22132yescomplemented
34#15689762C22132yescomplemented
35#15689761C22132yescomplemented
36#15689760C22132yescomplemented
37#15689758C22116yescomplemented
38#15689755C22132yescomplemented
39#15689708C22132yescomplemented
40#15689707C22132yescomplemented
41#15689705C22132yescomplemented
42#15689686C22132yescomplemented
43#15689682C22116yescomplemented
44#15689681C22132yescomplemented
45C2×#13094020C2212yescomplemented
46C2×#13094019C2212yescomplemented
47C2×#13094018C2212yescomplemented
48C2×#13094017C2212yescomplemented
49C2×#13094017C2212yescomplemented
50C2×#13094013C2212yescomplemented
51C2×#13094012C2212yescomplemented
52C2×#13094011C2212yescomplemented
53C2×#13094010C2212yescomplemented
54C2×#13094010C2212yescomplemented
55C2×#13094009C2212yescomplemented
56C2×#13094009C2212yescomplemented
57C2×#13094008C2212yescomplemented
58C2×#13094007C2212yescomplemented
59C2×#13094007C2212yescomplemented
60C2×#13094006C2212yescomplemented
61C2×#13094006C2212yescomplemented
62C2×#13094005C2212yescomplemented
63C2×#13094005C2211yescharacteristic, complemented
64C2×#13094005C2211yescharacteristic, complemented
65C2×#13094002C2212yescomplemented
66C2×#13094001C2212yescomplemented
67C2×#13094000C2212yescomplemented
68C2×#13093998C2212yescomplemented
69C2×#13093997C2212yescomplemented
70C2×#13093997C2212yescomplemented
71C2×#13093996C2212yescomplemented
72C2×#13093996C2212yescomplemented
73C2×#13093996C2212yescomplemented
74C2×#13093996C2212yescomplemented
75C2×#13093996C2212yescomplemented
76C2×#13093996C2212yescomplemented
77C2×#13093996C2212yescomplemented
78C2×#13093996C2212yescomplemented
79C2×#13093995C2212yescomplemented
80C2×#13093995C2212yescomplemented
81C2×#13093994C2212yes—
82C2×#13093994C2212yescomplemented
83C2×#13093994C2212yescomplemented
84C2×#13093994C2212yescomplemented
85C2×#13093993C2212yescomplemented
86C2×#13093992C2211yescharacteristic
87C2×#13093992C2212yescomplemented
88C2×#13093992C2211yescharacteristic, complemented
89C2×#13093992C2212yescomplemented
90C2×#13093992C2212yescomplemented
91C2×#13093992C2212yescomplemented
92C2×#13093992C2212yescomplemented
93C2×#13093992C2211yescharacteristic, complemented
94C2×#13093992C2211yescharacteristic, complemented
95C2×#13093992C2211yescharacteristic, complemented
96C2×#13093992C2211yescharacteristic, complemented
97C2×#13093992C2212yescomplemented
98C2×#13093992C2212yescomplemented
99C2×#13093992C22116yescomplemented
100#120×D47C22132yescomplemented
101C2×C4×D188C2212yescomplemented
102C2×D4×Dic47C2212yescomplemented
103C2×C4×C22⋊D47C2212yescomplemented
104C2×(C22⋊D47)⋊C4C2212yescomplemented
105C2×(C22⋊D47)⋊C4C2212yescomplemented
106C2×(C22⋊D47)⋊C4C2212yescomplemented
107C2×#13093981C2212yescomplemented
108C22×C22⋊Dic47C2211yescharacteristic, complemented
109C22×C22⋊Dic47C2211yescharacteristic, complemented
110C22×(C2×D47)⋊C4C2212yescomplemented
111C22×(C2×D47)⋊C4C2212yescomplemented
112C2×C22⋊C4×D47C2212yescomplemented
113C2×C22⋊C4×D47C2212yescomplemented
114C2×C22⋊C4×D47C2212yescomplemented
115C22×#41×C47C2211yescharacteristic, complemented
116C23×D4×C47C2211yescharacteristic, complemented
117C47×#535C22116yescomplemented
118C2×#127×C47C2211yescharacteristic, complemented
119C2×#127×C47C2211yescharacteristic, complemented
120C2×#124×C47C2211yescharacteristic, complemented
121C2×#124×C47C2211yescharacteristic, complemented
122C2×#121×C47C2212yescomplemented
123C2×#121×C47C2212yescomplemented
124C2×#120×C47C2212yescomplemented
125C2×#120×C47C2212yescomplemented
126C2×#117×C47C2211yescharacteristic, complemented
127C24×D47—48no—
128C24×D47—44no—
129C24×D47C2311yescharacteristic
130C24×D47C2312yes—
131C24×D47C2312yes—
132C24×D47C2312yes—
133C24×D47C2311yescharacteristic
134C24×D47C2318yescomplemented
135C24×D47C2311yescharacteristic, complemented
136C2×#10625352—48no—
137C2×#10625352C23116yescomplemented
138C22×Dic94C2312yescomplemented
139C22×D188C2312yes—
140C22×D188C2312yes—
141C22×D188C2312yes—
142C22×C22⋊D47—48no—
143C22×C22⋊D47—44no—
144C22×C22⋊D47C2312yes—
145C22×C22⋊D47C2312yes—
146C22×C22⋊D47C2312yes—
147C22×C22⋊D47C2312yes—
148C22×C22⋊D47C2312yes—
149C22×C22⋊D47C2312yes—
150C22×C22⋊D47C2312yes—
151C22×C22⋊D47C2312yes—
152C22×C22⋊D47C2312yes—
153C22×C22⋊D47C2312yes—
154C22×C22⋊D47C23116yescomplemented
155C22×C22⋊D47C2312yescomplemented
156C22×C22⋊D47C2312yescomplemented
157C22×C22⋊D47C2318yescomplemented
158C2×D4×D47—48no—
159C2×D4×D47—48no—
160C2×D4×D47—48no—
161C2×D4×D47—48no—
162C2×D4×D47C23116yescomplemented
163C2×D4×D47C23116yescomplemented
164C2×D4×D47C23116yescomplemented
165C2×D4×D47C23116yescomplemented
166C23×Dic47C2312yes—
167C23×Dic47C2312yescomplemented
168C23×Dic47C2312yescomplemented
169C23×Dic47C2311yescharacteristic, complemented
170C22×C4×D47C2312yes—
171C22×C4×D47C2312yes—
172C22×C4×D47C2312yes—
173C22×C4×D47C2312yescomplemented
174#13094020C23116yescomplemented
175#13094019C23116yescomplemented
176#13094018C23116yescomplemented
177#13094017C23116yescomplemented
178#13094017C23116yescomplemented
179#13094013C23116yescomplemented
180#13094012C23116yescomplemented
181#13094011C23116yescomplemented
182#13094010C23116yescomplemented
183#13094010C23116yescomplemented
184#13094009C23116yescomplemented
185#13094009C23116yescomplemented
186#13094008C23116yescomplemented
187#13094007C23116yescomplemented
188#13094007C23116yescomplemented
189#13094006C23116yescomplemented
190#13094006C23116yescomplemented
191#13094005C23116yescomplemented
192#13094005C2318yescomplemented
193#13094005C2318yescomplemented
194#13094002C23116yescomplemented
195#13094001C23116yescomplemented
196#13094000C23116yescomplemented
197#13093998C23116yescomplemented
198#13093997C23116yescomplemented
199#13093997C23116yescomplemented
200#13093996C23116yescomplemented
201#13093996C23116yescomplemented
202#13093996C23116yescomplemented
203#13093996C23116yescomplemented
204#13093996C23116yescomplemented
205#13093996C23116yescomplemented
206#13093996C23116yescomplemented
207#13093996C23116yescomplemented
208#13093995C23116yescomplemented
209#13093995C23116yescomplemented
210#13093994C23116yes—
211#13093994C23116yescomplemented
212#13093994C23116yescomplemented
213#13093994C23116yescomplemented
214#13093993C23116yescomplemented
215#13093992C2318yes—
216#13093992C23116yescomplemented
217#13093992C2318yescomplemented
218#13093992C23116yescomplemented
219#13093992C2318yescomplemented
220#13093992C2318yescomplemented
221#13093992C23116yescomplemented
222#13093992C23116yescomplemented
223#13093992C23116yescomplemented
224#13093992C23116yescomplemented
225#13093992C23116yescomplemented
226#13093992C2318yescomplemented
227#13093992C2318yescomplemented
228C4×D188C23116yescomplemented
229D4×Dic47C23116yescomplemented
230C4×C22⋊D47C23116yescomplemented
231(C22⋊D47)⋊C4C23116yescomplemented
232(C22⋊D47)⋊C4C23116yescomplemented
233(C22⋊D47)⋊C4C23116yescomplemented
234#13093981C23116yescomplemented
235C2×C4⋊Dic47C2312yescomplemented
236C2×C4⋊Dic47C2312yescomplemented
237C2×Dic47⋊C4C2312yescomplemented
238C2×Dic47⋊C4C2312yescomplemented
239C2×Dic47⋊C4C2312yescomplemented
240C2×Dic47⋊C4C2312yescomplemented
241C2×Dic47⋊C4C2312yescomplemented
242C2×Dic47⋊C4C2312yescomplemented
243C2×C22⋊Dic47C2312yes—
244C2×C22⋊Dic47C2312yes—
245C2×C22⋊Dic47C2312yes—
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2312yes—
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2318yescomplemented
250C2×C22⋊Dic47C2318yescomplemented
251C2×C22⋊Dic47C2311yescharacteristic, complemented
252C2×C22⋊Dic47C2311yescharacteristic, complemented
253C2×C22⋊Dic47C2312yescomplemented
254C2×C22⋊Dic47C2312yescomplemented
255C2×(C2×D47)⋊C4C2312yes—
256C2×(C2×D47)⋊C4C2312yes—
257C2×(C2×D47)⋊C4C2312yes—
258C2×(C2×D47)⋊C4C2312yes—
259C2×(C2×D47)⋊C4C2312yes—
260C2×(C2×D47)⋊C4C2312yes—
261C2×(C2×D47)⋊C4C2312yes—
262C2×(C2×D47)⋊C4C2312yes—
263C2×(C2×D47)⋊C4C2312yes—
264C2×(C2×D47)⋊C4C2312yes—
265C2×(C2×D47)⋊C4C23116yescomplemented
266C2×(C2×D47)⋊C4C23116yescomplemented
267C2×(C2×D47)⋊C4C2312yescomplemented
268C2×(C2×D47)⋊C4C2312yescomplemented
269C2×(C2×D47)⋊C4C2312yescomplemented
270C2×(C2×D47)⋊C4C2312yescomplemented
271C22⋊C4×D47C23116yescomplemented
272C22⋊C4×D47C23116yescomplemented
273C22⋊C4×D47C23116yescomplemented
274C2×C4×Dic47C2312yescomplemented
275C2×C4×Dic47C2312yescomplemented
276C25×C47C2311yescharacteristic
277C25×C47C2311yescharacteristic
278C2×#41×C47—44no—
279C2×#41×C47C2318yescomplemented
280C22×Q8×C47C2311yescharacteristic, complemented
281C22×D4×C47—44no—
282C22×D4×C47C2312yes—
283C22×D4×C47C2312yes—
284C22×D4×C47C2312yes—
285C22×D4×C47C2311yescharacteristic
286C22×D4×C47C2311yescharacteristic
287C22×D4×C47C2311yescharacteristic
288C22×D4×C47C2311yescharacteristic
289C22×D4×C47C2318yescomplemented
290C22×D4×C47C2312yescomplemented
291C22×D4×C47C2312yescomplemented
292C22×D4×C47C2311yescharacteristic, complemented
293C23×C4×C47C2311yescharacteristic
294C23×C4×C47C2312yescomplemented
295#127×C47C2318yescomplemented
296#127×C47C2318yescomplemented
297#124×C47C2318yescomplemented
298#124×C47C2318yescomplemented
299#121×C47C23116yescomplemented
300#121×C47C23116yescomplemented
301#120×C47C23116yescomplemented
302#120×C47C23116yescomplemented
303#117×C47C2318yescomplemented
304C2×C4⋊C4×C47C2312yescomplemented
305C2×C22⋊C4×C47C2312yes—
306C2×C22⋊C4×C47C2312yes—
307C2×C22⋊C4×C47C2312yes—
308C2×C22⋊C4×C47C2312yescomplemented
309C2×C22⋊C4×C47C2312yescomplemented
310C2×C42×C47C2311yescharacteristic, complemented
311C2×C42×C47C2311yescharacteristic, complemented
312C24×C47—24no—
313C24×C47—24no—
314C24×C47—44no—
315C24×C47—44no—
316C24×C47C2411yescharacteristic
317C24×C47C2411yescharacteristic
318C24×C47C2411yescharacteristic
319C24×C47C2411yescharacteristic
320C24×C47C2412yes—
321C24×C47C2411yescharacteristic
322C24×C47C2414yes—
323C24×C47C2414yes—
324C23×D47—28no—
325C23×D47—28no—
326C23×D47—28no—
327C23×D47—28no—
328C23×D47—28no—
329C23×D47—432no—
330C23×D47—42no—
331C23×D47—44no—
332C23×D47—44no—
333C23×D47—44no—
334C23×D47—42no—
335C23×D47—44no—
336C23×D47—416no—
337C23×D47—44no—
338C23×D47—44no—
339C23×D47—44no—
340C23×D47—42no—
341C23×D47—464no—
342C23×D47C2412yes—
343C23×D47C2412yes—
344C23×D47C2414yes—
345C23×D47C2418yes—
346C23×D47C2412yes—
347C23×D47C2418yes—
348C23×D47C2418yes—
349C23×D47C2414yes—
350C23×D47C2414yescomplemented
351#41×C47—416no—
352C2×Q8×C47—42no—
353C2×Q8×C47C2414yescomplemented
354C2×D4×C47—28no—
355C2×D4×C47—42no—
356C2×D4×C47—42no—
357C2×D4×C47—42no—
358C2×D4×C47—42no—
359C2×D4×C47—416no—
360C2×D4×C47—44no—
361C2×D4×C47—44no—
362C2×D4×C47—42no—
363C2×D4×C47—44no—
364C2×D4×C47—44no—
365C2×D4×C47C2418yes—
366C2×D4×C47C2418yes—
367C2×D4×C47C2418yes—
368C2×D4×C47C2414yes—
369C2×D4×C47C2414yes—
370C2×D4×C47C2414yes—
371C2×D4×C47C2414yes—
372C2×D4×C47C2418yescomplemented
373C2×D4×C47C2418yescomplemented
374C2×D4×C47C2414yescomplemented
375C22×C4×C47—24no—
376C22×C4×C47—44no—
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2412yes—
379C22×C4×C47C2412yes—
380C22×C4×C47C2412yes—
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2414yes—
383C22×C4×C47C2418yescomplemented
384C2×C22⋊D47—28no—
385C2×C22⋊D47—28no—
386C2×C22⋊D47—28no—
387C2×C22⋊D47—28no—
388C2×C22⋊D47—44no—
389C2×C22⋊D47—44no—
390C2×C22⋊D47—44no—
391C2×C22⋊D47—44no—
392C2×C22⋊D47—44no—
393C2×C22⋊D47—44no—
394C2×C22⋊D47—44no—
395C2×C22⋊D47—44no—
396C2×C22⋊D47—432no—
397C2×C22⋊D47—416no—
398C2×C22⋊D47C2418yes—
399C2×C22⋊D47C2418yes—
400C2×C22⋊D47C2418yes—
401C2×C22⋊D47C2418yes—
402C2×C22⋊D47C2418yes—
403C2×C22⋊D47C2418yes—
404C2×C22⋊D47C2418yes—
405C2×C22⋊D47C2418yes—
406C2×C22⋊D47C2418yes—
407C2×C22⋊D47C2418yes—
408C2×C22⋊D47C2418yescomplemented
409C2×C22⋊D47C2418yescomplemented
410C22×Dic47—44no—
411C22×Dic47—42no—
412C22×Dic47—44no—
413C22×Dic47—44no—
414C22×Dic47C2412yes—
415C22×Dic47C2412yes—
416C22×Dic47C2412yes—
417C22×Dic47C2412yes—
418C22×Dic47C2412yes—
419C22×Dic47C2418yes—
420C22×Dic47C2418yescomplemented
421C22×Dic47C2418yescomplemented
422C22×Dic47C2414yescomplemented
423#10625352—432no—
424D4×D47—432no—
425D4×D47—432no—
426D4×D47—432no—
427D4×D47—432no—
428C2×D188—28no—
429C2×D188—44no—
430C2×D188—44no—
431C2×D188C2418yes—
432C2×D188C2418yes—
433C2×D188C2418yes—
434C2×C4×D47—28no—
435C2×C4×D47—44no—
436C2×C4×D47—44no—
437C2×C4×D47—44no—
438C2×C4×D47C2418yes—
439C2×C4×D47C2418yes—
440C2×C4×D47C2418yes—
441C2×C4×D47C2418yescomplemented
442C2×Dic94—44no—
443C2×Dic94C2418yescomplemented
444C4⋊C4×C47C2418yescomplemented
445C22⋊C4×C47C2418yes—
446C22⋊C4×C47C2418yes—
447C22⋊C4×C47C2418yes—
448C22⋊C4×C47C2418yescomplemented
449C22⋊C4×C47C2418yescomplemented
450C42×C47C2414yescomplemented
451C42×C47C2414yescomplemented
452C22⋊Dic47C2418yes—
453C22⋊Dic47C2418yes—
454C22⋊Dic47C2418yes—
455C22⋊Dic47C2414yes—
456C22⋊Dic47C2418yes—
457C22⋊Dic47C2414yes—
458C22⋊Dic47C2414yescomplemented
459C22⋊Dic47C2414yescomplemented
460C22⋊Dic47C2418yescomplemented
461C22⋊Dic47C2418yescomplemented
462(C2×D47)⋊C4C2418yes—
463(C2×D47)⋊C4C2418yes—
464(C2×D47)⋊C4C2418yes—
465(C2×D47)⋊C4C2418yes—
466(C2×D47)⋊C4C2418yes—
467(C2×D47)⋊C4C2418yes—
468(C2×D47)⋊C4C2418yes—
469(C2×D47)⋊C4C2418yes—
470(C2×D47)⋊C4C2418yes—
471(C2×D47)⋊C4C2418yes—
472(C2×D47)⋊C4C2418yescomplemented
473(C2×D47)⋊C4C2418yescomplemented
474(C2×D47)⋊C4C2418yescomplemented
475(C2×D47)⋊C4C2418yescomplemented
476C4⋊Dic47C2418yescomplemented
477C4⋊Dic47C2418yescomplemented
478Dic47⋊C4C2418yescomplemented
479Dic47⋊C4C2418yescomplemented
480Dic47⋊C4C2418yescomplemented
481Dic47⋊C4C2418yescomplemented
482Dic47⋊C4C2418yescomplemented
483Dic47⋊C4C2418yescomplemented
484C4×Dic47C2418yescomplemented
485C4×Dic47C2418yescomplemented
486C23×C47—24no—
487C23×C47—24no—
488C23×C47—24no—
489C23×C47—22no—
490C23×C47—24no—
491C23×C47—24no—
492C23×C47—22no—
493C23×C47—24no—
494C23×C47—24no—
495C23×C47—24no—
496C23×C47—28no—
497C23×C47—22no—
498C23×C47—22no—
499C23×C47—28no—
500C23×C47—48no—
501C23×C47—48no—
502C23×C47—416no—
503C23×C47—88no—
504C23×C47H(5,𝔽2)14yes—
505C23×C47C2512yes—
506C23×C47C2512yes—
507C23×C47C2512yes—
508C23×C47C2514yes—
509C23×C47C2512yes—
510C23×C47C2512yes—
511C23×C47C2511yescharacteristic
512C22×D47—24no—
513C22×D47—24no—
514C22×D47—24no—
515C22×D47—24no—
516C22×D47—24no—
517C22×D47—24no—
518C22×D47—24no—
519C22×D47—216no—
520C22×D47—24no—
521C22×D47—216no—
522C22×D47—216no—
523C22×D47—216no—
524C22×D47—216no—
525C22×D47—44no—
526C22×D47—48no—
527C22×D47—48no—
528C22×D47—48no—
529C22×D47—44no—
530C22×D47—48no—
531C22×D47—416no—
532C22×D47—48no—
533C22×D47—48no—
534C22×D47—48no—
535C22×D47—44no—
536C22×D47—432no—
537C22×D47—432no—
538C22×D47—4128no—
539C22×D47—416no—
540C22×D47—816no—
541C22×D47—88no—
542C22×D47H(5,𝔽2)18yes—
543C22×D47C2514yes—
544C22×D47C2514yes—
545C22×D47C2514yes—
546Q8×C47—44no—
547D4×C47—216no—
548D4×C47—48no—
549D4×C47—48no—
550D4×C47—48no—
551D4×C47—48no—
552D4×C47—44no—
553D4×C47—44no—
554D4×C47—44no—
555D4×C47—44no—
556D4×C47—44no—
557C2×C4×C47—24no—
558C2×C4×C47—24no—
559C2×C4×C47—24no—
560C2×C4×C47—22no—
561C2×C4×C47—22no—
562C2×C4×C47—28no—
563C2×C4×C47—48no—
564C2×C4×C47C2514yes—
565C2×C4×C47C2514yes—
566C2×C4×C47C2514yes—
567C2×C4×C47C2512yes—
568C2×C4×C47C2512yes—
569C22⋊D47—216no—
570C22⋊D47—216no—
571C22⋊D47—216no—
572C22⋊D47—216no—
573C22⋊D47—48no—
574C22⋊D47—48no—
575C22⋊D47—48no—
576C22⋊D47—48no—
577C22⋊D47—48no—
578C22⋊D47—48no—
579C22⋊D47—48no—
580C22⋊D47—48no—
581C2×Dic47—24no—
582C2×Dic47—24no—
583C2×Dic47—24no—
584C2×Dic47—24no—
585C2×Dic47—24no—
586C2×Dic47—48no—
587C2×Dic47—48no—
588C2×Dic47—48no—
589C2×Dic47—44no—
590C2×Dic47C2514yes—
591C2×Dic47C2514yes—
592C2×Dic47C2514yes—
593C2×Dic47C2514yes—
594C2×Dic47C2514yes—
595D188—216no—
596D188—48no—
597D188—48no—
598C4×D47—216no—
599C4×D47—48no—
600C4×D47—48no—
601C4×D47—48no—
602Dic94—48no—
603C2×#3532—471nomaximal, Sylow
604C22×C47—24no—
605C22×C47—28no—
606C22×C47—24no—
607C22×C47—24no—
608C22×C47—22no—
609C22×C47—24no—
610C22×C47—24no—
611C22×C47—22no—
612C22×C47—24no—
613C22×C47—24no—
614C22×C47—24no—
615C22×C47—22no—
616C22×C47—22no—
617C22×C47—416no—
618C22×C47—44no—
619C22×C47—44no—
620C22×C47—48no—
621C22×C47—44no—
622C22×C47—44no—
623C22×C47—88no—
624C22×C47C2×H(5,𝔽2)14yes—
625C22×C47C2×H(5,𝔽2)14yes—
626C22×C47C2×H(5,𝔽2)12yes—
627C22×C47C2611yescharacteristic
628C2×D47—24no—
629C2×D47—24no—
630C2×D47—216no—
631C2×D47—24no—
632C2×D47—24no—
633C2×D47—24no—
634C2×D47—24no—
635C2×D47—24no—
636C2×D47—24no—
637C2×D47—416no—
638C2×D47—432no—
639C2×D47—432no—
640C2×D47—416no—
641C2×D47—48no—
642C2×D47—48no—
643C2×D47—816no—
644C2×D47—88no—
645C2×D47C2×H(5,𝔽2)18yes—
646C4×C47—24no—
647C4×C47—24no—
648C4×C47—24no—
649C4×C47—22no—
650C4×C47—22no—
651Dic47—24no—
652Dic47—24no—
653Dic47—24no—
654Dic47—24no—
655Dic47—24no—
656#3532—4732no—
657C2×H(3,𝔽4)—471no—
658C2×#560—471no—
659C2×#560—472no—
660C2×#551—471no—
661C2×#551—472no—
662C2×#546—472no—
663C2×#546—472no—
664C2×#546—472no—
665C2×D42—471no—
666C2×D42—472no—
667C2×#538—472no—
668C2×#538—472no—
669C2×#538—472no—
670C2×#535—472no—
671C2×#535D4711yescharacteristic, complemented
672C2×#534—471no—
673C2×#534—472no—
674C22×#120—471no—
675C22×#120—472no—
676C2×C47—24no—
677C2×C47—42no—
678C2×C47—42no—
679C2×C47—44no—
680C2×C47—42no—
681C2×C47—42no—
682C2×C47#353214yescomplemented
683C2×C47C22×H(5,𝔽2)12yes—
684C2×C47C22×H(5,𝔽2)11yescharacteristic
685D47—28no—
686D47—44no—
687D47—44no—
688C26—471no—
689C22×#41—472no—
690C22×#41C2×D4711yescharacteristic, complemented
691C23×D4—472no—
692C23×D4—471no—
693C23×D4—472no—
694C23×D4—472no—
695C23×D4—472no—
696C23×D4—472no—
697C23×D4C2×D4711yescharacteristic, complemented
698H(3,𝔽4)—4716no—
699#560—4716no—
700#560—4732no—
701#551—4716no—
702#551—4732no—
703#546—4732no—
704#546—4732no—
705#546—4732no—
706D42—4716no—
707D42—4732no—
708#538—4732no—
709#538—4732no—
710#538—4732no—
711#535—4732no—
712#535C2×D47116yescomplemented
713#534—4716no—
714#534—4732no—
715C2×#127—472no—
716C2×#127C2×D4711yescharacteristic, complemented
717C2×#127C2×D4711yescharacteristic, complemented
718C2×#126—472no—
719C2×#126—472no—
720C2×#126—472no—
721C2×#126—472no—
722C2×#124—472no—
723C2×#124—472no—
724C2×#124—472no—
725C2×#124—472no—
726C2×#124—472no—
727C2×#124C2×D4711yescharacteristic, complemented
728C2×#124C2×D4711yescharacteristic, complemented
729C2×#123—471no—
730C2×#123—471no—
731C2×#123—472no—
732C2×#123—472no—
733C2×#123—472no—
734C2×#123—472no—
735C2×#123—472no—
736C2×#123—472no—
737C2×#123—472no—
738C2×#123—472no—
739C2×C22⋊Q8—472no—
740C2×C22⋊Q8—472no—
741C2×C22⋊Q8—472no—
742C2×#121—472no—
743C2×#121—472no—
744C2×#121—472no—
745C2×#121—472no—
746C2×#121—472no—
747C2×#121—472no—
748C2×#121—472no—
749C2×#121—472no—
750C2×#121—472no—
751C2×#121—472no—
752C2×#121—472no—
753C2×#121—472no—
754C2×#121—472no—
755C2×#121C2×D4712yescomplemented
756C2×#121C2×D4712yescomplemented
757C2×#120—472no—
758C2×#120—472no—
759C2×#120—472no—
760C2×#120—472no—
761C2×#120—471no—
762C2×#120—472no—
763C2×#120—471no—
764C2×#120—471no—
765C2×#120—472no—
766C2×#120—471no—
767C2×#120—471no—
768C2×#120—471no—
769C2×#120—4716no—
770C2×#120—472no—
771C2×#120—472no—
772C2×#120—4732no—
773C2×#120—472no—
774C2×#120—472no—
775C2×#120—472no—
776C2×#120—472no—
777C2×#120C2×D4712yescomplemented
778C2×#120C2×D4712yescomplemented
779C2×C4×D4—472no—
780C2×C4×D4—472no—
781C2×C4×D4—472no—
782C2×C4×D4—472no—
783C2×C4×D4—472no—
784C2×C4×D4—472no—
785C2×#117—472no—
786C2×#117C2×D4711yescharacteristic, complemented
787C22×C22⋊C4—471no—
788C22×C22⋊C4—471no—
789C22×C22⋊C4—472no—
790C22×C22⋊C4—472no—
791C22×C22⋊C4—472no—
792C22×C22⋊C4—472no—
793C22×C22⋊C4—472no—
794C47C2×#353211yescharacteristic, complemented, Sylow
795C25—471no—
796C25—472no—
797C25—472no—
798C25—472no—
799C25—471no—
800C25—478no—
801C25—471no—
802C25—1884no—
803C25—1888no—
804C25C22×D4711yescharacteristic
805C25C22×D4711yescharacteristic
806C2×#41—44no—
807C2×#41—4716no—
808C2×#41—1888no—
809C2×#41C22×D4718yescomplemented
810C22×Q8—472no—
811C22×Q8C22×D4711yescharacteristic, complemented
812C22×D4—44no—
813C22×D4—472no—
814C22×D4—472no—
815C22×D4—472no—
816C22×D4—472no—
817C22×D4—472no—
818C22×D4—472no—
819C22×D4—472no—
820C22×D4—472no—
821C22×D4—472no—
822C22×D4—472no—
823C22×D4—4716no—
824C22×D4—472no—
825C22×D4—472no—
826C22×D4—478no—
827C22×D4—4716no—
828C22×D4—4716no—
829C22×D4—4716no—
830C22×D4—4716no—
831C22×D4—472no—
832C22×D4—472no—
833C22×D4—472no—
834C22×D4—1888no—
835C22×D4—1888no—
836C22×D4—1888no—
837C22×D4—1888no—
838C22×D4—1884no—
839C22×D4—1888no—
840C22×D4C22×D4712yes—
841C22×D4C22×D4711yescharacteristic
842C22×D4C22×D4711yescharacteristic
843C22×D4C22×D4711yescharacteristic
844C22×D4C22×D4711yescharacteristic
845C22×D4C22×D4712yes—
846C22×D4C22×D4712yes—
847C22×D4C22×D4718yescomplemented
848C22×D4C22×D4711yescharacteristic, complemented
849C22×D4C22×D4712yescomplemented
850C22×D4C22×D4712yescomplemented
851C23×C4—472no—
852C23×C4—472no—
853C23×C4—472no—
854C23×C4—471no—
855C23×C4—472no—
856C23×C4—472no—
857C23×C4—472no—
858C23×C4—472no—
859C23×C4C22×D4711yescharacteristic
860C23×C4C22×D4712yescomplemented
861#127—4716no—
862#127C22×D4718yescomplemented
863#127C22×D4718yescomplemented
864#126—4716no—
865#126—4716no—
866#126—4716no—
867#126—4716no—
868#124—4716no—
869#124—4716no—
870#124—4716no—
871#124—4716no—
872#124—4716no—
873#124C22×D4718yescomplemented
874#124C22×D4718yescomplemented
875#123—478no—
876#123—478no—
877#123—4716no—
878#123—4716no—
879#123—4716no—
880#123—4716no—
881#123—4716no—
882#123—4716no—
883#123—4716no—
884#123—4716no—
885C22⋊Q8—4716no—
886C22⋊Q8—4716no—
887C22⋊Q8—4716no—
888#121—4716no—
889#121—4716no—
890#121—4716no—
891#121—4716no—
892#121—4716no—
893#121—4716no—
894#121—4716no—
895#121—4716no—
896#121—4716no—
897#121—4716no—
898#121—4716no—
899#121—4716no—
900#121—4716no—
901#121C22×D47116yescomplemented
902#121C22×D47116yescomplemented
903#120—4716no—
904#120—4716no—
905#120—4716no—
906#120—4716no—
907#120—478no—
908#120—4716no—
909#120—478no—
910#120—478no—
911#120—4716no—
912#120—478no—
913#120—478no—
914#120—478no—
915#120—4716no—
916#120—4716no—
917#120—4716no—
918#120—4716no—
919#120—4716no—
920#120—4716no—
921#120C22×D47116yescomplemented
922#120C22×D47116yescomplemented
923C4×D4—4716no—
924C4×D4—4716no—
925C4×D4—4716no—
926C4×D4—4716no—
927C4×D4—4716no—
928C4×D4—4716no—
929#117—4716no—
930#117C22×D4718yescomplemented
931C2×C4⋊C4—472no—
932C2×C4⋊C4—472no—
933C2×C4⋊C4—472no—
934C2×C4⋊C4—472no—
935C2×C4⋊C4—472no—
936C2×C4⋊C4—472no—
937C2×C4⋊C4—472no—
938C2×C4⋊C4—472no—
939C2×C4⋊C4C22×D4712yescomplemented
940C2×C22⋊C4—472no—
941C2×C22⋊C4—471no—
942C2×C22⋊C4—472no—
943C2×C22⋊C4—472no—
944C2×C22⋊C4—472no—
945C2×C22⋊C4—471no—
946C2×C22⋊C4—478no—
947C2×C22⋊C4—471no—
948C2×C22⋊C4—471no—
949C2×C22⋊C4—478no—
950C2×C22⋊C4—472no—
951C2×C22⋊C4—472no—
952C2×C22⋊C4—472no—
953C2×C22⋊C4—472no—
954C2×C22⋊C4—472no—
955C2×C22⋊C4—472no—
956C2×C22⋊C4—472no—
957C2×C22⋊C4—472no—
958C2×C22⋊C4—472no—
959C2×C22⋊C4—472no—
960C2×C22⋊C4—472no—
961C2×C22⋊C4—472no—
962C2×C22⋊C4—4716no—
963C2×C22⋊C4—472no—
964C2×C22⋊C4—472no—
965C2×C22⋊C4—472no—
966C2×C22⋊C4—472no—
967C2×C22⋊C4—4716no—
968C2×C22⋊C4—4716no—
969C2×C22⋊C4—4716no—
970C2×C22⋊C4—4716no—
971C2×C22⋊C4C22×D4712yes—
972C2×C22⋊C4C22×D4712yes—
973C2×C22⋊C4C22×D4712yes—
974C2×C22⋊C4C22×D4712yescomplemented
975C2×C22⋊C4C22×D4712yescomplemented
976C2×C42—472no—
977C2×C42—472no—
978C2×C42C22×D4711yescharacteristic, complemented
979C2×C42C22×D4711yescharacteristic, complemented
980C24—24no—
981C24—24no—
982C24—44no—
983C24—44no—
984C24—472no—
985C24—472no—
986C24—472no—
987C24—474no—
988C24—478no—
989C24—478no—
990C24—478no—
991C24—474no—
992C24—474no—
993C24—948no—
994C24—948no—
995C24—948no—
996C24—948no—
997C24—948no—
998C24—1884no—
999C24—1884no—
1000C24—1884no—
1001C24—1882no—
1002C24—1884no—
1003C24—1884no—
1004C24—1884no—
1005C24—1882no—
1006C24—1884no—
1007C24—1882no—
1008C24—18816no—
1009C24—18832no—
1010C24—18864no—
1011C24C23×D4711yescharacteristic
1012C24C23×D4711yescharacteristic
1013C24C23×D4711yescharacteristic
1014C24C23×D4712yes—
1015C24C23×D4711yescharacteristic
1016C24C23×D4711yescharacteristic
1017C24C23×D4714yes—
1018C24C23×D4714yes—
1019#41—416no—
1020#41—18832no—
1021C2×Q8—42no—
1022C2×Q8—478no—
1023C2×Q8—1884no—
1024C2×Q8C23×D4714yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—478no—
1037C2×D4—478no—
1038C2×D4—478no—
1039C2×D4—478no—
1040C2×D4—478no—
1041C2×D4—478no—
1042C2×D4—478no—
1043C2×D4—478no—
1044C2×D4—478no—
1045C2×D4—478no—
1046C2×D4—478no—
1047C2×D4—478no—
1048C2×D4—478no—
1049C2×D4—478no—
1050C2×D4—478no—
1051C2×D4—948no—
1052C2×D4—948no—
1053C2×D4—948no—
1054C2×D4—948no—
1055C2×D4—948no—
1056C2×D4—1884no—
1057C2×D4—1884no—
1058C2×D4—18832no—
1059C2×D4—1884no—
1060C2×D4—1884no—
1061C2×D4—1884no—
1062C2×D4—1884no—
1063C2×D4—1884no—
1064C2×D4—1884no—
1065C2×D4—1884no—
1066C2×D4—1884no—
1067C2×D4—18832no—
1068C2×D4—18832no—
1069C2×D4—18832no—
1070C2×D4—18816no—
1071C2×D4—18832no—
1072C2×D4C23×D4718yes—
1073C2×D4C23×D4714yes—
1074C2×D4C23×D4714yes—
1075C2×D4C23×D4714yes—
1076C2×D4C23×D4714yes—
1077C2×D4C23×D4718yes—
1078C2×D4C23×D4718yes—
1079C2×D4C23×D4714yescomplemented
1080C2×D4C23×D4718yescomplemented
1081C2×D4C23×D4718yescomplemented
1082C22×C4—24no—
1083C22×C4—44no—
1084C22×C4—472no—
1085C22×C4—472no—
1086C22×C4—472no—
1087C22×C4—472no—
1088C22×C4—472no—
1089C22×C4—478no—
1090C22×C4—478no—
1091C22×C4—478no—
1092C22×C4—474no—
1093C22×C4—478no—
1094C22×C4—478no—
1095C22×C4—478no—
1096C22×C4—478no—
1097C22×C4—948no—
1098C22×C4—1884no—
1099C22×C4—1884no—
1100C22×C4—1884no—
1101C22×C4—1884no—
1102C22×C4—1882no—
1103C22×C4—1884no—
1104C22×C4—1884no—
1105C22×C4C23×D4714yes—
1106C22×C4C23×D4712yes—
1107C22×C4C23×D4712yes—
1108C22×C4C23×D4711yescharacteristic
1109C22×C4C23×D4712yes—
1110C22×C4C23×D4711yescharacteristic
1111C22×C4C23×D4718yescomplemented
1112C4⋊C4—478no—
1113C4⋊C4—478no—
1114C4⋊C4—478no—
1115C4⋊C4—478no—
1116C4⋊C4—478no—
1117C4⋊C4—478no—
1118C4⋊C4—478no—
1119C4⋊C4—478no—
1120C4⋊C4C23×D4718yescomplemented
1121C22⋊C4—478no—
1122C22⋊C4—474no—
1123C22⋊C4—478no—
1124C22⋊C4—478no—
1125C22⋊C4—478no—
1126C22⋊C4—474no—
1127C22⋊C4—474no—
1128C22⋊C4—474no—
1129C22⋊C4—478no—
1130C22⋊C4—478no—
1131C22⋊C4—478no—
1132C22⋊C4—478no—
1133C22⋊C4—478no—
1134C22⋊C4—478no—
1135C22⋊C4—478no—
1136C22⋊C4—478no—
1137C22⋊C4—478no—
1138C22⋊C4—478no—
1139C22⋊C4—478no—
1140C22⋊C4—478no—
1141C22⋊C4—478no—
1142C22⋊C4—478no—
1143C22⋊C4—478no—
1144C22⋊C4—478no—
1145C22⋊C4C23×D4718yes—
1146C22⋊C4C23×D4718yes—
1147C22⋊C4C23×D4718yes—
1148C22⋊C4C23×D4718yescomplemented
1149C22⋊C4C23×D4718yescomplemented
1150C42—478no—
1151C42—478no—
1152C42C23×D4714yescomplemented
1153C42C23×D4714yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—22no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—48no—
1170C23—416no—
1171C23—88no—
1172C23—478no—
1173C23—474no—
1174C23—474no—
1175C23—474no—
1176C23—9416no—
1177C23—9416no—
1178C23—9416no—
1179C23—9416no—
1180C23—944no—
1181C23—944no—
1182C23—944no—
1183C23—944no—
1184C23—944no—
1185C23—944no—
1186C23—944no—
1187C23—9416no—
1188C23—944no—
1189C23—37616no—
1190C23—3768no—
1191C23—1888no—
1192C23—1888no—
1193C23—1888no—
1194C23—1884no—
1195C23—1888no—
1196C23—1888no—
1197C23—1888no—
1198C23—1884no—
1199C23—1888no—
1200C23—1884no—
1201C23—18832no—
1202C23—18816no—
1203C23—18832no—
1204C23—188128no—
1205C23—18816no—
1206C23#1309406914yes—
1207C23C24×D4712yes—
1208C23C24×D4712yes—
1209C23C24×D4712yes—
1210C23C24×D4714yes—
1211C23C24×D4712yes—
1212C23C24×D4712yes—
1213C23C24×D4711yescharacteristic
1214Q8—44no—
1215Q8—1888no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—44no—
1225D4—48no—
1226D4—9416no—
1227D4—9416no—
1228D4—9416no—
1229D4—9416no—
1230D4—9416no—
1231D4—1888no—
1232D4—1888no—
1233D4—1888no—
1234D4—1888no—
1235D4—1888no—
1236D4—1888no—
1237D4—1888no—
1238D4—1888no—
1239D4—1888no—
1240D4—1888no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—28no—
1246C2×C4—24no—
1247C2×C4—48no—
1248C2×C4—474no—
1249C2×C4—474no—
1250C2×C4—474no—
1251C2×C4—474no—
1252C2×C4—474no—
1253C2×C4—9416no—
1254C2×C4—944no—
1255C2×C4—944no—
1256C2×C4—944no—
1257C2×C4—944no—
1258C2×C4—944no—
1259C2×C4—1888no—
1260C2×C4—1888no—
1261C2×C4—1888no—
1262C2×C4—1888no—
1263C2×C4—1884no—
1264C2×C4—1888no—
1265C2×C4—1888no—
1266C2×C4C24×D4714yes—
1267C2×C4C24×D4714yes—
1268C2×C4C24×D4712yes—
1269C2×C4C24×D4714yes—
1270C2×C4C24×D4712yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—478no—
1292C22—9416no—
1293C22—944no—
1294C22—944no—
1295C22—944no—
1296C22—944no—
1297C22—944no—
1298C22—944no—
1299C22—944no—
1300C22—944no—
1301C22—37616no—
1302C22—3768no—
1303C22—18832no—
1304C22—18816no—
1305C22—18832no—
1306C22—18816no—
1307C22—1888no—
1308C22—1888no—
1309C22H(5,𝔽2)×D4714yes—
1310C22C2×#1309406914yes—
1311C22C2×#1309406912yes—
1312C22C25×D4711yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—944no—
1319C4—944no—
1320C4—944no—
1321C4—944no—
1322C4—944no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—42no—
1328C2—44no—
1329C2—948no—
1330C2—1884no—
1331C2—1884no—
1332C2#2025754214yesdirect product factor
1333C2C2×H(5,𝔽2)×D4712yes—
1334C2C22×#1309406911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#535C2
socleC23×C47C25
hypercenterC2×#535D47
hypocenterC47C2×#3532
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #20257542C2direct (N × H)
2. C2×#15689865C2semidirect
3. C2×#15689861C2semidirect
4. C2×#15689860C2semidirect
5. C2×#15689803C2semidirect
6. C2×#15689797C2semidirect
7. C2×#15689762C2semidirect
8. C2×#15689761C2semidirect
9. C2×#15689760C2semidirect
10. C2×#15689758C2semidirect
11. C2×#15689755C2semidirect
12. C2×#15689708C2semidirect
13. C2×#15689707C2semidirect
14. C2×#15689705C2semidirect
15. C2×#15689686C2semidirect
16. C2×#15689682C2semidirect
17. C2×#15689681C2semidirect
18. C22×#13093992C2semidirect
19. C2×#120×D47C2semidirect
20. C2×C47×#535C2semidirect
21. C25×D47C22semidirect
22. C22×#10625352C22semidirect
23. C23×C22⋊D47C22semidirect
24. C23×C22⋊D47C22semidirect
25. C22×D4×D47C22semidirect
26. C22×D4×D47C22semidirect
27. C22×D4×D47C22semidirect
28. C22×D4×D47C22semidirect
29. #15689865C22semidirect
30. #15689861C22semidirect
31. #15689860C22semidirect
32. #15689803C22semidirect
33. #15689797C22semidirect
34. #15689762C22semidirect
35. #15689761C22semidirect
36. #15689760C22semidirect
37. #15689758C22semidirect
38. #15689755C22semidirect
39. #15689708C22semidirect
40. #15689707C22semidirect
41. #15689705C22semidirect
42. #15689686C22semidirect
43. #15689682C22semidirect
44. #15689681C22semidirect
45. C2×#13094020C22semidirect
46. C2×#13094019C22semidirect
47. C2×#13094018C22semidirect
48. C2×#13094017C22semidirect
49. C2×#13094017C22semidirect
50. C2×#13094013C22semidirect
51. C2×#13094012C22semidirect
52. C2×#13094011C22semidirect
53. C2×#13094010C22semidirect
54. C2×#13094010C22semidirect
55. C2×#13094009C22semidirect
56. C2×#13094009C22semidirect
57. C2×#13094008C22semidirect
58. C2×#13094007C22semidirect
59. C2×#13094007C22semidirect
60. C2×#13094006C22semidirect
61. C2×#13094006C22semidirect
62. C2×#13094005C22semidirect
63. C2×#13094005C22semidirect
64. C2×#13094005C22semidirect
65. C2×#13094002C22semidirect
66. C2×#13094001C22semidirect
67. C2×#13094000C22semidirect
68. C2×#13093998C22semidirect
69. C2×#13093997C22semidirect
70. C2×#13093997C22semidirect
71. C2×#13093996C22semidirect
72. C2×#13093996C22semidirect
73. C2×#13093996C22semidirect
74. C2×#13093996C22semidirect
75. C2×#13093996C22semidirect
76. C2×#13093996C22semidirect
77. C2×#13093996C22semidirect
78. C2×#13093996C22semidirect
79. C2×#13093995C22semidirect
80. C2×#13093995C22semidirect
82. C2×#13093994C22semidirect
83. C2×#13093994C22semidirect
84. C2×#13093994C22semidirect
85. C2×#13093993C22semidirect
87. C2×#13093992C22semidirect
88. C2×#13093992C22semidirect
89. C2×#13093992C22semidirect
90. C2×#13093992C22semidirect
91. C2×#13093992C22semidirect
92. C2×#13093992C22semidirect
93. C2×#13093992C22semidirect
94. C2×#13093992C22semidirect
95. C2×#13093992C22semidirect
96. C2×#13093992C22semidirect
97. C2×#13093992C22semidirect
98. C2×#13093992C22semidirect
99. C2×#13093992C22semidirect
100. #120×D47C22semidirect
101. C2×C4×D188C22semidirect
102. C2×D4×Dic47C22semidirect
103. C2×C4×C22⋊D47C22semidirect
104. C2×(C22⋊D47)⋊C4C22semidirect
105. C2×(C22⋊D47)⋊C4C22semidirect
106. C2×(C22⋊D47)⋊C4C22semidirect
107. C2×#13093981C22semidirect
108. C22×C22⋊Dic47C22semidirect
109. C22×C22⋊Dic47C22semidirect
110. C22×(C2×D47)⋊C4C22semidirect
111. C22×(C2×D47)⋊C4C22semidirect
112. C2×C22⋊C4×D47C22semidirect
113. C2×C22⋊C4×D47C22semidirect
114. C2×C22⋊C4×D47C22semidirect
115. C22×#41×C47C22semidirect
116. C23×D4×C47C22semidirect
117. C47×#535C22semidirect
118. C2×#127×C47C22semidirect
119. C2×#127×C47C22semidirect
120. C2×#124×C47C22semidirect
121. C2×#124×C47C22semidirect
122. C2×#121×C47C22semidirect
123. C2×#121×C47C22semidirect
124. C2×#120×C47C22semidirect
125. C2×#120×C47C22semidirect
126. C2×#117×C47C22semidirect
134. C24×D47C23semidirect
135. C24×D47C23semidirect
137. C2×#10625352C23semidirect
138. C22×Dic94C23semidirect
154. C22×C22⋊D47C23semidirect
155. C22×C22⋊D47C23semidirect
156. C22×C22⋊D47C23semidirect
157. C22×C22⋊D47C23semidirect
162. C2×D4×D47C23semidirect
163. C2×D4×D47C23semidirect
164. C2×D4×D47C23semidirect
165. C2×D4×D47C23semidirect
167. C23×Dic47C23semidirect
168. C23×Dic47C23semidirect
169. C23×Dic47C23semidirect
173. C22×C4×D47C23semidirect
174. #13094020C23semidirect
175. #13094019C23semidirect
176. #13094018C23semidirect
177. #13094017C23semidirect
178. #13094017C23semidirect
179. #13094013C23semidirect
180. #13094012C23semidirect
181. #13094011C23semidirect
182. #13094010C23semidirect
183. #13094010C23semidirect
184. #13094009C23semidirect
185. #13094009C23semidirect
186. #13094008C23semidirect
187. #13094007C23semidirect
188. #13094007C23semidirect
189. #13094006C23semidirect
190. #13094006C23semidirect
191. #13094005C23semidirect
192. #13094005C23semidirect
193. #13094005C23semidirect
194. #13094002C23semidirect
195. #13094001C23semidirect
196. #13094000C23semidirect
197. #13093998C23semidirect
198. #13093997C23semidirect
199. #13093997C23semidirect
200. #13093996C23semidirect
201. #13093996C23semidirect
202. #13093996C23semidirect
203. #13093996C23semidirect
204. #13093996C23semidirect
205. #13093996C23semidirect
206. #13093996C23semidirect
207. #13093996C23semidirect
208. #13093995C23semidirect
209. #13093995C23semidirect
211. #13093994C23semidirect
212. #13093994C23semidirect
213. #13093994C23semidirect
214. #13093993C23semidirect
216. #13093992C23semidirect
217. #13093992C23semidirect
218. #13093992C23semidirect
219. #13093992C23semidirect
220. #13093992C23semidirect
221. #13093992C23semidirect
222. #13093992C23semidirect
223. #13093992C23semidirect
224. #13093992C23semidirect
225. #13093992C23semidirect
226. #13093992C23semidirect
227. #13093992C23semidirect
228. C4×D188C23semidirect
229. D4×Dic47C23semidirect
230. C4×C22⋊D47C23semidirect
231. (C22⋊D47)⋊C4C23semidirect
232. (C22⋊D47)⋊C4C23semidirect
233. (C22⋊D47)⋊C4C23semidirect
234. #13093981C23semidirect
235. C2×C4⋊Dic47C23semidirect
236. C2×C4⋊Dic47C23semidirect
237. C2×Dic47⋊C4C23semidirect
238. C2×Dic47⋊C4C23semidirect
239. C2×Dic47⋊C4C23semidirect
240. C2×Dic47⋊C4C23semidirect
241. C2×Dic47⋊C4C23semidirect
242. C2×Dic47⋊C4C23semidirect
249. C2×C22⋊Dic47C23semidirect
250. C2×C22⋊Dic47C23semidirect
251. C2×C22⋊Dic47C23semidirect
252. C2×C22⋊Dic47C23semidirect
253. C2×C22⋊Dic47C23semidirect
254. C2×C22⋊Dic47C23semidirect
265. C2×(C2×D47)⋊C4C23semidirect
266. C2×(C2×D47)⋊C4C23semidirect
267. C2×(C2×D47)⋊C4C23semidirect
268. C2×(C2×D47)⋊C4C23semidirect
269. C2×(C2×D47)⋊C4C23semidirect
270. C2×(C2×D47)⋊C4C23semidirect
271. C22⋊C4×D47C23semidirect
272. C22⋊C4×D47C23semidirect
273. C22⋊C4×D47C23semidirect
274. C2×C4×Dic47C23semidirect
275. C2×C4×Dic47C23semidirect
279. C2×#41×C47C23semidirect
280. C22×Q8×C47C23semidirect
289. C22×D4×C47C23semidirect
290. C22×D4×C47C23semidirect
291. C22×D4×C47C23semidirect
292. C22×D4×C47C23semidirect
294. C23×C4×C47C23semidirect
295. #127×C47C23semidirect
296. #127×C47C23semidirect
297. #124×C47C23semidirect
298. #124×C47C23semidirect
299. #121×C47C23semidirect
300. #121×C47C23semidirect
301. #120×C47C23semidirect
302. #120×C47C23semidirect
303. #117×C47C23semidirect
304. C2×C4⋊C4×C47C23semidirect
308. C2×C22⋊C4×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C42×C47C23semidirect
311. C2×C42×C47C23semidirect
350. C23×D47C24semidirect
353. C2×Q8×C47C24semidirect
372. C2×D4×C47C24semidirect
373. C2×D4×C47C24semidirect
374. C2×D4×C47C24semidirect
383. C22×C4×C47C24semidirect
408. C2×C22⋊D47C24semidirect
409. C2×C22⋊D47C24semidirect
420. C22×Dic47C24semidirect
421. C22×Dic47C24semidirect
422. C22×Dic47C24semidirect
441. C2×C4×D47C24semidirect
443. C2×Dic94C24semidirect
444. C4⋊C4×C47C24semidirect
448. C22⋊C4×C47C24semidirect
449. C22⋊C4×C47C24semidirect
450. C42×C47C24semidirect
451. C42×C47C24semidirect
458. C22⋊Dic47C24semidirect
459. C22⋊Dic47C24semidirect
460. C22⋊Dic47C24semidirect
461. C22⋊Dic47C24semidirect
472. (C2×D47)⋊C4C24semidirect
473. (C2×D47)⋊C4C24semidirect
474. (C2×D47)⋊C4C24semidirect
475. (C2×D47)⋊C4C24semidirect
476. C4⋊Dic47C24semidirect
477. C4⋊Dic47C24semidirect
478. Dic47⋊C4C24semidirect
479. Dic47⋊C4C24semidirect
480. Dic47⋊C4C24semidirect
481. Dic47⋊C4C24semidirect
482. Dic47⋊C4C24semidirect
483. Dic47⋊C4C24semidirect
484. C4×Dic47C24semidirect
485. C4×Dic47C24semidirect
671. C2×#535D47semidirect
682. C2×C47#3532semidirect
690. C22×#41C2×D47semidirect
697. C23×D4C2×D47semidirect
712. #535C2×D47semidirect
716. C2×#127C2×D47semidirect
717. C2×#127C2×D47semidirect
727. C2×#124C2×D47semidirect
728. C2×#124C2×D47semidirect
755. C2×#121C2×D47semidirect
756. C2×#121C2×D47semidirect
777. C2×#120C2×D47semidirect
778. C2×#120C2×D47semidirect
786. C2×#117C2×D47semidirect
794. C47C2×#3532semidirect
809. C2×#41C22×D47semidirect
811. C22×Q8C22×D47semidirect
847. C22×D4C22×D47semidirect
848. C22×D4C22×D47semidirect
849. C22×D4C22×D47semidirect
850. C22×D4C22×D47semidirect
860. C23×C4C22×D47semidirect
862. #127C22×D47semidirect
863. #127C22×D47semidirect
873. #124C22×D47semidirect
874. #124C22×D47semidirect
901. #121C22×D47semidirect
902. #121C22×D47semidirect
921. #120C22×D47semidirect
922. #120C22×D47semidirect
930. #117C22×D47semidirect
939. C2×C4⋊C4C22×D47semidirect
974. C2×C22⋊C4C22×D47semidirect
975. C2×C22⋊C4C22×D47semidirect
978. C2×C42C22×D47semidirect
979. C2×C42C22×D47semidirect
1024. C2×Q8C23×D47semidirect
1079. C2×D4C23×D47semidirect
1080. C2×D4C23×D47semidirect
1081. C2×D4C23×D47semidirect
1111. C22×C4C23×D47semidirect
1120. C4⋊C4C23×D47semidirect
1148. C22⋊C4C23×D47semidirect
1149. C22⋊C4C23×D47semidirect
1152. C42C23×D47semidirect
1153. C42C23×D47semidirect
1332. C2#20257542direct (N × H)

Maximal subgroups

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

subgroupindex
#202575422
C2×#156898652
C2×#156898612
C2×#156898602
C2×#156898032
C2×#156897972
C2×#156897622
C2×#156897612
C2×#156897602
C2×#156897582
C2×#156897552
C2×#156897082
C2×#156897072
C2×#156897052
C2×#156896862
C2×#156896822
C2×#156896812
C22×#130939922
C2×#120×D472
C2×C47×#5352
C2×#353247