Finite Group Databasebeta

← C2×#20257544 #27123402

Subgroups — C2×#20257544 #27123402

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#20257544C2132yesmaximal, direct product factor
2C2×#15689865C211yesmaximal, characteristic, complemented
3C2×#15689864C212yesmaximal, complemented
4C2×#15689863C211yesmaximal, characteristic, complemented
5C2×#15689797C212yesmaximal, complemented
6C2×#15689765C212yesmaximal, complemented
7C2×#15689764C212yesmaximal, complemented
8C2×#15689763C212yesmaximal, complemented
9C2×D4×D188C212yesmaximal, complemented
10C2×#15689755C211yesmaximal, characteristic, complemented
11C2×#15689713C212yesmaximal, complemented
12C2×#15689712C212yesmaximal, complemented
13C2×#15689706C212yesmaximal, complemented
14C2×#15689692C212yesmaximal, complemented
15C2×#15689691C211yesmaximal, characteristic, complemented
16C2×#15689684C211yesmaximal, characteristic, complemented
17C2×#15689684C212yesmaximal, complemented
18C22×#13093994C212yesmaximal, complemented
19C2×#120×D47C211yesmaximal, characteristic, complemented
20C2×C47×#551C211yesmaximal, characteristic, complemented
21C25×D47C2211yescharacteristic, complemented
22C22×#10625354C2211yescharacteristic, complemented
23C22×#10625350C2212yescomplemented
24C23×D188C2212yescomplemented
25C23×D188C2212yescomplemented
26C23×D188C2211yescharacteristic, complemented
27C23×C22⋊D47C2212yescomplemented
28C22×D4×D47C2212yescomplemented
29C22×D4×D47C2211yescharacteristic, complemented
30C22×D4×D47C2212yescomplemented
31#15689865C22116yescomplemented
32#15689864C22132yescomplemented
33#15689863C22116yescomplemented
34#15689797C22132yescomplemented
35#15689765C22132yescomplemented
36#15689764C22132yescomplemented
37#15689763C22132yescomplemented
38D4×D188C22132yescomplemented
39#15689755C22116yescomplemented
40#15689713C22132yescomplemented
41#15689712C22132yescomplemented
42#15689706C22132yescomplemented
43#15689692C22132yescomplemented
44#15689691C22116yescomplemented
45#15689684C22116yescomplemented
46#15689684C22132yescomplemented
47C2×#13094021C2212yescomplemented
48C2×#13094021C2211yescharacteristic, complemented
49C2×#13094020C2211yescharacteristic, complemented
50C2×#13094019C2212yescomplemented
51C2×#13094019C2212yescomplemented
52C2×#13094018C2212yescomplemented
53C2×#13094013C2212yescomplemented
54C2×#13094013C2211yescharacteristic, complemented
55C2×#13094012C2212yescomplemented
56C2×#13094012C2212yescomplemented
57C2×#13094010C2212yescomplemented
58C2×#13094010C2212yescomplemented
59C2×#13094009C2212yescomplemented
60C2×#13094009C2212yescomplemented
61C2×#13094009C2212yescomplemented
62C2×#13094009C2212yescomplemented
63C2×#13094009C2212yescomplemented
64C2×#13094007C2212yescomplemented
65C2×#13094007C2211yescharacteristic, complemented
66C2×#13094006C2212yescomplemented
67C2×#13094002C2212yescomplemented
68C2×#13094001C2212yescomplemented
69C2×#13093999C2212yescomplemented
70C2×#13093999C2212yescomplemented
71C2×#13093999C2212yescomplemented
72C2×#13093999C2212yescomplemented
73C2×#13093999C2212yescomplemented
74C2×#13093999C2212yescomplemented
75C2×#13093999C2212yescomplemented
76C2×#13093998C2212yescomplemented
77C2×#13093998C2212yescomplemented
78C2×#13093997C2212yescomplemented
79C2×#13093997C2212yescomplemented
80C2×#13093997C2212yescomplemented
81C2×#13093997C2212yescomplemented
82C2×#13093997C2212yescomplemented
83C2×#13093996C2212yescomplemented
84C2×#13093994C2212yes—
85C2×#13093994C2212yescomplemented
86C2×#13093994C2212yescomplemented
87C2×#13093994C2211yescharacteristic, complemented
88C2×#13093994C2212yescomplemented
89C2×#13093994C2212yescomplemented
90C2×#13093994C2212yescomplemented
91C2×#13093994C2212yescomplemented
92C2×#13093994C2212yescomplemented
93C2×#13093994C2212yescomplemented
94C2×#13093994C2212yescomplemented
95C2×#13093994C2212yescomplemented
96C2×#13093994C2212yescomplemented
97C2×#13093994C22132yescomplemented
98C2×#13093994C2212yescomplemented
99C2×#13093994C2211yescharacteristic, complemented
100C2×#13093993C2211yescharacteristic, complemented
101C2×#13093992C2212yescomplemented
102C2×#13093992C2211yescharacteristic, complemented
103C2×#13093992C2211yescharacteristic, complemented
104#120×D47C22116yescomplemented
105C2×C4×D188C2212yescomplemented
106C2×#13093986C2212yescomplemented
107C2×C4×C22⋊D47C2212yescomplemented
108C2×(C22⋊D47)⋊C4C2212yescomplemented
109C2×(C22⋊D47)⋊C4C2212yescomplemented
110C2×#13093981C2211yescharacteristic, complemented
111C22×(C2×D47)⋊C4C2212yescomplemented
112C22×(C2×D47)⋊C4C2212yescomplemented
113C2×C22⋊C4×D47C2212yescomplemented
114C2×C22⋊C4×D47C2211yescharacteristic, complemented
115C2×C22⋊C4×D47C2212yescomplemented
116C2×C22⋊C4×D47C2211yescharacteristic, complemented
117C47×#551C22116yescomplemented
118C2×#126×C47C2212yescomplemented
119C2×#124×C47C2211yescharacteristic, complemented
120C2×#123×C47C2211yescharacteristic, complemented
121C2×#123×C47C2212yescomplemented
122C2×C22⋊Q8×C47C2212yescomplemented
123C2×#120×C47C2211yescharacteristic
124C2×C4×D4×C47C2212yescomplemented
125C2×#117×C47C2212yescomplemented
126C22×C22⋊C4×C47C2212yescomplemented
127C24×D47—44no—
128C24×D47—48no—
129C24×D47C2312yes—
130C24×D47C2311yescharacteristic
131C24×D47C2311yescharacteristic
132C24×D47C2312yes—
133C24×D47C2312yes—
134C24×D47C2311yescharacteristic
135C24×D47C2318yescomplemented
136C24×D47C2311yescharacteristic, complemented
137C2×#10625354—44no—
138C2×#10625354C2318yescomplemented
139C2×#10625350—48no—
140C2×#10625350C23116yescomplemented
141C22×Dic94C2312yescomplemented
142C22×D188—44no—
143C22×D188—48no—
144C22×D188—48no—
145C22×D188C2312yes—
146C22×D188C2312yes—
147C22×D188C2312yes—
148C22×D188C2312yes—
149C22×D188C2312yes—
150C22×D188C2312yes—
151C22×D188C2312yes—
152C22×D188C2312yes—
153C22×D188C2312yes—
154C22×D188C2311yescharacteristic
155C22×D188C23116yescomplemented
156C22×D188C23116yescomplemented
157C22×D188C2318yescomplemented
158C22×D188C2312yescomplemented
159C22×D188C2311yescharacteristic, complemented
160C22×D188C2312yescomplemented
161C22×D188C2312yescomplemented
162C22×C22⋊D47—48no—
163C22×C22⋊D47C2312yes—
164C22×C22⋊D47C2312yes—
165C22×C22⋊D47C2312yes—
166C22×C22⋊D47C2311yescharacteristic
167C22×C22⋊D47C2312yes—
168C22×C22⋊D47C2312yes—
169C22×C22⋊D47C2311yescharacteristic
170C22×C22⋊D47C2312yes—
171C22×C22⋊D47C23116yescomplemented
172C22×C22⋊D47C2312yescomplemented
173C2×D4×D47—44no—
174C2×D4×D47—48no—
175C2×D4×D47—48no—
176C2×D4×D47C23116yescomplemented
177C2×D4×D47C2318yescomplemented
178C2×D4×D47C23116yescomplemented
179C23×Dic47C2312yes—
180C22×C4×D47C2311yescharacteristic
181C22×C4×D47C2312yes—
182C22×C4×D47C2312yescomplemented
183C22×C4×D47C2312yescomplemented
184C22×C4×D47C2312yescomplemented
185C22×C4×D47C2312yescomplemented
186#13094021C23116yescomplemented
187#13094021C2318yescomplemented
188#13094020C2318yescomplemented
189#13094019C23116yescomplemented
190#13094019C23116yescomplemented
191#13094018C23116yescomplemented
192#13094013C23116yescomplemented
193#13094013C2318yescomplemented
194#13094012C23116yescomplemented
195#13094012C23116yescomplemented
196#13094010C23116yescomplemented
197#13094010C23116yescomplemented
198#13094009C23116yescomplemented
199#13094009C23116yescomplemented
200#13094009C23116yescomplemented
201#13094009C23116yescomplemented
202#13094009C23116yescomplemented
203#13094007C2318yescomplemented
204#13094007C23116yescomplemented
205#13094006C23116yescomplemented
206#13094002C23116yescomplemented
207#13094001C23116yescomplemented
208#13093999C23116yescomplemented
209#13093999C23116yescomplemented
210#13093999C23116yescomplemented
211#13093999C23116yescomplemented
212#13093999C23116yescomplemented
213#13093999C23116yescomplemented
214#13093999C23116yescomplemented
215#13093998C23116yescomplemented
216#13093998C23116yescomplemented
217#13093997C23116yescomplemented
218#13093997C23116yescomplemented
219#13093997C23116yescomplemented
220#13093997C23116yescomplemented
221#13093997C23116yescomplemented
222#13093996C23116yescomplemented
223#13093994C23116yes—
224#13093994C23116yescomplemented
225#13093994C2318yescomplemented
226#13093994C23116yescomplemented
227#13093994C23116yescomplemented
228#13093994C23116yescomplemented
229#13093994C23116yescomplemented
230#13093994C23116yescomplemented
231#13093994C23116yescomplemented
232#13093994C23116yescomplemented
233#13093994C23116yescomplemented
234#13093994C23116yescomplemented
235#13093994C23116yescomplemented
236#13093994C23116yescomplemented
237#13093994C2318yescomplemented
238#13093993C2318yescomplemented
239#13093992C2318yescomplemented
240#13093992C23116yescomplemented
241#13093992C2318yescomplemented
242C4×D188C23116yescomplemented
243#13093986C23116yescomplemented
244C4×C22⋊D47C23116yescomplemented
245(C22⋊D47)⋊C4C23116yescomplemented
246(C22⋊D47)⋊C4C23116yescomplemented
247#13093981C2318yescomplemented
248C2×C4⋊Dic47C2312yescomplemented
249C2×Dic47⋊C4C2312yescomplemented
250C2×Dic47⋊C4C2312yescomplemented
251C2×Dic47⋊C4C2312yescomplemented
252C2×Dic47⋊C4C2312yescomplemented
253C2×C22⋊Dic47C2312yes—
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic, complemented
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)⋊C4C2312yes—
266C2×(C2×D47)⋊C4C2312yes—
267C2×(C2×D47)⋊C4C23116yescomplemented
268C2×(C2×D47)⋊C4C23116yescomplemented
269C2×(C2×D47)⋊C4C2312yescomplemented
270C2×(C2×D47)⋊C4C2312yescomplemented
271C2×(C2×D47)⋊C4C2312yescomplemented
272C2×(C2×D47)⋊C4C2312yescomplemented
273C2×(C2×D47)⋊C4C2312yescomplemented
274C2×(C2×D47)⋊C4C2312yescomplemented
275C2×(C2×D47)⋊C4C2312yescomplemented
276C22⋊C4×D47C23116yescomplemented
277C22⋊C4×D47C2318yescomplemented
278C22⋊C4×D47C2318yescomplemented
279C22⋊C4×D47C23116yescomplemented
280C2×C4×Dic47C2311yescharacteristic, complemented
281C2×C4×Dic47C2312yescomplemented
282C25×C47C2311yescharacteristic
283C22×Q8×C47C2311yescharacteristic, complemented
284C22×D4×C47C2312yes—
285C22×D4×C47C2311yescharacteristic
286C23×C4×C47C2312yes—
287C23×C4×C47C2312yes—
288C23×C4×C47C2311yescharacteristic, complemented
289#126×C47C23116yescomplemented
290#124×C47C2318yescomplemented
291#123×C47C2318yescomplemented
292#123×C47C23116yescomplemented
293C22⋊Q8×C47C23116yescomplemented
294#120×C47C2318yes—
295C4×D4×C47C23116yescomplemented
296#117×C47C23116yescomplemented
297C2×C4⋊C4×C47C2312yescomplemented
298C2×C4⋊C4×C47C2312yescomplemented
299C2×C4⋊C4×C47C2312yescomplemented
300C2×C4⋊C4×C47C2312yescomplemented
301C2×C22⋊C4×C47C2312yes—
302C2×C22⋊C4×C47C2312yes—
303C2×C22⋊C4×C47C2312yes—
304C2×C22⋊C4×C47C2312yes—
305C2×C22⋊C4×C47C2312yes—
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C23116yescomplemented
308C2×C22⋊C4×C47C2312yescomplemented
309C2×C22⋊C4×C47C2311yescharacteristic, complemented
310C2×C42×C47C2311yescharacteristic, complemented
311C2×C42×C47C2312yescomplemented
312C24×C47—28no—
313C24×C47—42no—
314C24×C47C2411yescharacteristic
315C24×C47C2411yescharacteristic
316C24×C47C2414yes—
317C24×C47C2412yes—
318C23×D47—28no—
319C23×D47—28no—
320C23×D47—28no—
321C23×D47—24no—
322C23×D47—28no—
323C23×D47—24no—
324C23×D47—416no—
325C23×D47—44no—
326C23×D47—44no—
327C23×D47—42no—
328C23×D47—44no—
329C23×D47—44no—
330C23×D47—44no—
331C23×D47—432no—
332C23×D47—44no—
333C23×D47—44no—
334C23×D47—44no—
335C23×D47—44no—
336C23×D47—42no—
337C23×D47—464no—
338C23×D47C2412yes—
339C23×D47C2411yescharacteristic
340C23×D47C2412yes—
341C23×D47C2411yescharacteristic
342C23×D47C2412yes—
343C23×D47C2418yes—
344C23×D47C2411yescharacteristic
345C23×D47C2414yes—
346C23×D47C2414yes—
347C23×D47C2418yes—
348C23×D47C2418yes—
349C23×D47C2414yes—
350C23×D47C2414yescomplemented
351C2×Q8×C47—42no—
352C2×Q8×C47C2414yescomplemented
353C2×D4×C47—28no—
354C2×D4×C47—42no—
355C2×D4×C47C2418yes—
356C2×D4×C47C2414yes—
357C22×C4×C47—28no—
358C22×C4×C47—44no—
359C22×C4×C47—42no—
360C22×C4×C47C2412yes—
361C22×C4×C47C2412yes—
362C22×C4×C47C2412yes—
363C22×C4×C47C2411yescharacteristic
364C22×C4×C47C2412yes—
365C22×C4×C47C2412yes—
366C22×C4×C47C2418yes—
367C22×C4×C47C2418yes—
368C22×C4×C47C2414yescomplemented
369C2×C22⋊D47—28no—
370C2×C22⋊D47—28no—
371C2×C22⋊D47—28no—
372C2×C22⋊D47—44no—
373C2×C22⋊D47—42no—
374C2×C22⋊D47—42no—
375C2×C22⋊D47—44no—
376C2×C22⋊D47—44no—
377C2×C22⋊D47—44no—
378C2×C22⋊D47—432no—
379C2×C22⋊D47C2418yes—
380C2×C22⋊D47C2418yes—
381C2×C22⋊D47C2418yes—
382C2×C22⋊D47C2414yes—
383C2×C22⋊D47C2418yes—
384C2×C22⋊D47C2418yes—
385C2×C22⋊D47C2414yes—
386C2×C22⋊D47C2418yes—
387C2×C22⋊D47C2418yescomplemented
388C22×Dic47—44no—
389C22×Dic47C2412yes—
390C22×Dic47C2412yes—
391C22×Dic47C2412yes—
392C22×Dic47C2411yescharacteristic
393C22×Dic47C2418yes—
394#10625354—416no—
395D4×D47—416no—
396D4×D47—432no—
397D4×D47—432no—
398#10625350—432no—
399C2×D188—28no—
400C2×D188—28no—
401C2×D188—416no—
402C2×D188—432no—
403C2×D188—42no—
404C2×D188—44no—
405C2×D188—44no—
406C2×D188—44no—
407C2×D188—44no—
408C2×D188—44no—
409C2×D188—44no—
410C2×D188—44no—
411C2×D188—44no—
412C2×D188—432no—
413C2×D188—44no—
414C2×D188—44no—
415C2×D188—42no—
416C2×D188C2418yes—
417C2×D188C2418yes—
418C2×D188C2418yes—
419C2×D188C2418yes—
420C2×D188C2418yes—
421C2×D188C2418yes—
422C2×D188C2418yes—
423C2×D188C2418yes—
424C2×D188C2418yes—
425C2×D188C2414yes—
426C2×D188C2418yescomplemented
427C2×D188C2414yescomplemented
428C2×D188C2418yescomplemented
429C2×D188C2418yescomplemented
430C2×C4×D47—24no—
431C2×C4×D47—44no—
432C2×C4×D47—44no—
433C2×C4×D47—44no—
434C2×C4×D47—44no—
435C2×C4×D47—44no—
436C2×C4×D47C2414yes—
437C2×C4×D47C2418yes—
438C2×C4×D47C2418yescomplemented
439C2×C4×D47C2418yescomplemented
440C2×C4×D47C2418yescomplemented
441C2×C4×D47C2418yescomplemented
442C2×Dic94—44no—
443C2×Dic94C2418yescomplemented
444C4⋊C4×C47C2418yescomplemented
445C4⋊C4×C47C2418yescomplemented
446C4⋊C4×C47C2418yescomplemented
447C4⋊C4×C47C2418yescomplemented
448C22⋊C4×C47C2418yes—
449C22⋊C4×C47C2418yes—
450C22⋊C4×C47C2418yes—
451C22⋊C4×C47C2418yes—
452C22⋊C4×C47C2418yes—
453C22⋊C4×C47C2414yes—
454C22⋊C4×C47C2418yescomplemented
455C22⋊C4×C47C2414yescomplemented
456C42×C47C2414yescomplemented
457C42×C47C2418yescomplemented
458C22⋊Dic47C2418yes—
459C22⋊Dic47C2414yes—
460C22⋊Dic47C2414yescomplemented
461(C2×D47)⋊C4C2418yes—
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
476(C2×D47)⋊C4C2418yescomplemented
477(C2×D47)⋊C4C2418yescomplemented
478(C2×D47)⋊C4C2418yescomplemented
479C4⋊Dic47C2418yescomplemented
480Dic47⋊C4C2418yescomplemented
481Dic47⋊C4C2418yescomplemented
482Dic47⋊C4C2418yescomplemented
483Dic47⋊C4C2418yescomplemented
484C4×Dic47C2414yescomplemented
485C4×Dic47C2418yescomplemented
486C23×C47—24no—
487C23×C47—24no—
488C23×C47—24no—
489C23×C47—216no—
490C23×C47—24no—
491C23×C47—22no—
492C23×C47—22no—
493C23×C47—44no—
494C23×C47—416no—
495C23×C47H(5,𝔽2)18yes—
496C23×C47C2512yes—
497C23×C47C2512yes—
498C23×C47C2514yes—
499C23×C47C2511yescharacteristic
500C22×D47—24no—
501C22×D47—24no—
502C22×D47—24no—
503C22×D47—24no—
504C22×D47—24no—
505C22×D47—24no—
506C22×D47—22no—
507C22×D47—24no—
508C22×D47—24no—
509C22×D47—216no—
510C22×D47—24no—
511C22×D47—24no—
512C22×D47—24no—
513C22×D47—22no—
514C22×D47—24no—
515C22×D47—216no—
516C22×D47—216no—
517C22×D47—216no—
518C22×D47—28no—
519C22×D47—28no—
520C22×D47—48no—
521C22×D47—48no—
522C22×D47—44no—
523C22×D47—48no—
524C22×D47—48no—
525C22×D47—48no—
526C22×D47—48no—
527C22×D47—44no—
528C22×D47—48no—
529C22×D47—48no—
530C22×D47—48no—
531C22×D47—432no—
532C22×D47—416no—
533C22×D47—432no—
534C22×D47—4128no—
535C22×D47—416no—
536C22×D47—88no—
537C22×D47—816no—
538C22×D47—88no—
539C22×D47H(5,𝔽2)14yes—
540C22×D47C2514yes—
541C22×D47C2512yes—
542C22×D47C2514yes—
543C22×D47C2514yes—
544C22×D47C2512yes—
545C22×D47C2512yes—
546Q8×C47—44no—
547D4×C47—216no—
548D4×C47—44no—
549C2×C4×C47—24no—
550C2×C4×C47—22no—
551C2×C4×C47—24no—
552C2×C4×C47—24no—
553C2×C4×C47—24no—
554C2×C4×C47—24no—
555C2×C4×C47—216no—
556C2×C4×C47—48no—
557C2×C4×C47—44no—
558C2×C4×C47C2512yes—
559C2×C4×C47C2514yes—
560C2×C4×C47C2514yes—
561C2×C4×C47C2514yes—
562C2×C4×C47C2514yes—
563C2×C4×C47C2514yes—
564C22⋊D47—216no—
565C22⋊D47—216no—
566C22⋊D47—216no—
567C22⋊D47—48no—
568C22⋊D47—44no—
569C22⋊D47—44no—
570C22⋊D47—48no—
571C22⋊D47—48no—
572C22⋊D47—48no—
573C2×Dic47—24no—
574C2×Dic47—24no—
575C2×Dic47—22no—
576C2×Dic47—24no—
577C2×Dic47—48no—
578C2×Dic47C2514yes—
579C2×Dic47C2514yes—
580C2×Dic47C2514yes—
581C2×Dic47C2512yes—
582D188—216no—
583D188—216no—
584D188—48no—
585D188—48no—
586D188—48no—
587D188—48no—
588D188—48no—
589D188—48no—
590D188—48no—
591D188—44no—
592D188—48no—
593D188—48no—
594D188—48no—
595D188—44no—
596C4×D47—28no—
597C4×D47—48no—
598C4×D47—48no—
599C4×D47—48no—
600C4×D47—48no—
601C4×D47—48no—
602Dic94—48no—
603C2×#3532—471nomaximal, Sylow
604C22×C47—24no—
605C22×C47—24no—
606C22×C47—216no—
607C22×C47—24no—
608C22×C47—24no—
609C22×C47—22no—
610C22×C47—22no—
611C22×C47—416no—
612C22×C47—44no—
613C22×C47—44no—
614C22×C47C2×H(5,𝔽2)12yes—
615C22×C47C2×H(5,𝔽2)18yes—
616C22×C47C2×H(5,𝔽2)14yes—
617C22×C47C2611yescharacteristic
618C2×D47—24no—
619C2×D47—28no—
620C2×D47—24no—
621C2×D47—24no—
622C2×D47—24no—
623C2×D47—24no—
624C2×D47—24no—
625C2×D47—22no—
626C2×D47—24no—
627C2×D47—24no—
628C2×D47—24no—
629C2×D47—24no—
630C2×D47—24no—
631C2×D47—22no—
632C2×D47—24no—
633C2×D47—432no—
634C2×D47—416no—
635C2×D47—432no—
636C2×D47—416no—
637C2×D47—48no—
638C2×D47—44no—
639C2×D47—48no—
640C2×D47—44no—
641C2×D47—48no—
642C2×D47—88no—
643C2×D47—816no—
644C2×D47—88no—
645C2×D47C2×H(5,𝔽2)14yes—
646C4×C47—24no—
647C4×C47—22no—
648C4×C47—24no—
649C4×C47—24no—
650C4×C47—24no—
651C4×C47—24no—
652Dic47—24no—
653Dic47—24no—
654Dic47—22no—
655Dic47—24no—
656#3532—4732no—
657C2×H(3,𝔽4)—471no—
658C2×#560—472no—
659C2×#560—471no—
660C2×#551—472no—
661C2×#551D4711yescharacteristic, complemented
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—471no—
671C2×#535—472no—
672C2×#534—472no—
673C2×#534—471no—
674C22×#120—471no—
675C22×#120—472no—
676C2×C47—28no—
677C2×C47—42no—
678C2×C47—42no—
679C2×C47#353214yescomplemented
680C2×C47C22×H(5,𝔽2)11yescharacteristic
681C2×C47C22×H(5,𝔽2)12yes—
682D47—24no—
683D47—44no—
684D47—42no—
685D47—44no—
686D47—42no—
687D47—44no—
688C26—471no—
689C22×#41—471no—
690C22×#41—472no—
691C23×D4—472no—
692C23×D4—471no—
693C23×D4—472no—
694C23×D4—472no—
695C23×D4—472no—
696C23×D4—472no—
697C23×D4—471no—
698H(3,𝔽4)—4716no—
699#560—4732no—
700#560—4716no—
701#551—4732no—
702#551C2×D47116yescomplemented
703#546—4732no—
704#546—4732no—
705#546—4732no—
706D42—4716no—
707D42—4732no—
708#538—4732no—
709#538—4732no—
710#538—4732no—
711#535—4716no—
712#535—4732no—
713#534—4732no—
714#534—4716no—
715C2×#127—471no—
716C2×#127—471no—
717C2×#127—472no—
718C2×#126—472no—
719C2×#126—472no—
720C2×#126—472no—
721C2×#126C2×D4712yescomplemented
722C2×#124—471no—
723C2×#124—472no—
724C2×#124—472no—
725C2×#124—472no—
726C2×#124—472no—
727C2×#124—472no—
728C2×#124C2×D4711yescharacteristic, complemented
729C2×#123—472no—
730C2×#123—471no—
731C2×#123—472no—
732C2×#123—472no—
733C2×#123—472no—
734C2×#123—472no—
735C2×#123—472no—
736C2×#123—472no—
737C2×#123C2×D4711yescharacteristic, complemented
738C2×#123C2×D4712yescomplemented
739C2×C22⋊Q8—472no—
740C2×C22⋊Q8—472no—
741C2×C22⋊Q8C2×D4712yescomplemented
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×#121—472no—
756C2×#121—472no—
757C2×#120—471no—
758C2×#120—472no—
759C2×#120—471no—
760C2×#120—471no—
761C2×#120—4716no—
762C2×#120—472no—
763C2×#120—472no—
764C2×#120—472no—
765C2×#120—472no—
766C2×#120—472no—
767C2×#120—472no—
768C2×#120—472no—
769C2×#120—472no—
770C2×#120—471no—
771C2×#120—472no—
772C2×#120—472no—
773C2×#120—472no—
774C2×#120—4732no—
775C2×#120—471no—
776C2×#120—472no—
777C2×#120—472no—
778C2×#120C2×D4711yescharacteristic
779C2×C4×D4—472no—
780C2×C4×D4—472no—
781C2×C4×D4—472no—
782C2×C4×D4—472no—
783C2×C4×D4—472no—
784C2×C4×D4C2×D4712yescomplemented
785C2×#117—471no—
786C2×#117C2×D4712yescomplemented
787C22×C22⋊C4—472no—
788C22×C22⋊C4—472no—
789C22×C22⋊C4—471no—
790C22×C22⋊C4—472no—
791C22×C22⋊C4—472no—
792C22×C22⋊C4—471no—
793C22×C22⋊C4C2×D4712yescomplemented
794C47C2×#353211yescharacteristic, complemented, Sylow
795C25—472no—
796C25—471no—
797C25—472no—
798C25—471no—
799C25—472no—
800C25—471no—
801C25—478no—
802C25—471no—
803C25—1888no—
804C25—1884no—
805C25C22×D4711yescharacteristic
806C2×#41—478no—
807C2×#41—4716no—
808C2×#41—1888no—
809C2×#41—1884no—
810C22×Q8—472no—
811C22×Q8C22×D4711yescharacteristic, complemented
812C22×D4—472no—
813C22×D4—472no—
814C22×D4—472no—
815C22×D4—471no—
816C22×D4—472no—
817C22×D4—472no—
818C22×D4—471no—
819C22×D4—472no—
820C22×D4—4716no—
821C22×D4—472no—
822C22×D4—478no—
823C22×D4—4716no—
824C22×D4—4716no—
825C22×D4—472no—
826C22×D4—472no—
827C22×D4—472no—
828C22×D4—472no—
829C22×D4—472no—
830C22×D4—472no—
831C22×D4—472no—
832C22×D4—472no—
833C22×D4—471no—
834C22×D4—472no—
835C22×D4—471no—
836C22×D4—472no—
837C22×D4—4716no—
838C22×D4—4716no—
839C22×D4—472no—
840C22×D4—472no—
841C22×D4—478no—
842C22×D4—1888no—
843C22×D4—1888no—
844C22×D4—1884no—
845C22×D4—1884no—
846C22×D4—1888no—
847C22×D4—1888no—
848C22×D4—1888no—
849C22×D4C22×D4712yes—
850C22×D4C22×D4711yescharacteristic
851C23×C4—472no—
852C23×C4—471no—
853C23×C4—472no—
854C23×C4—472no—
855C23×C4—472no—
856C23×C4—472no—
857C23×C4—472no—
858C23×C4C22×D4712yes—
859C23×C4C22×D4712yes—
860C23×C4C22×D4711yescharacteristic, complemented
861#127—478no—
862#127—478no—
863#127—4716no—
864#126—4716no—
865#126—4716no—
866#126—4716no—
867#126C22×D47116yescomplemented
868#124—478no—
869#124—4716no—
870#124—4716no—
871#124—4716no—
872#124—4716no—
873#124—4716no—
874#124C22×D4718yescomplemented
875#123—4716no—
876#123—478no—
877#123—4716no—
878#123—4716no—
879#123—4716no—
880#123—4716no—
881#123—4716no—
882#123—4716no—
883#123C22×D4718yescomplemented
884#123C22×D47116yescomplemented
885C22⋊Q8—4716no—
886C22⋊Q8—4716no—
887C22⋊Q8C22×D47116yescomplemented
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#121—4716no—
902#121—4716no—
903#120—478no—
904#120—4716no—
905#120—478no—
906#120—478no—
907#120—4716no—
908#120—4716no—
909#120—4716no—
910#120—4716no—
911#120—4716no—
912#120—4716no—
913#120—4716no—
914#120—4716no—
915#120—478no—
916#120—4716no—
917#120—4716no—
918#120—4716no—
919#120—478no—
920#120—4716no—
921#120—4716no—
922#120C22×D4718yes—
923C4×D4—4716no—
924C4×D4—4716no—
925C4×D4—4716no—
926C4×D4—4716no—
927C4×D4—4716no—
928C4×D4C22×D47116yescomplemented
929#117—478no—
930#117C22×D47116yescomplemented
931C2×C4⋊C4—472no—
932C2×C4⋊C4—472no—
933C2×C4⋊C4—472no—
934C2×C4⋊C4—472no—
935C2×C4⋊C4—472no—
936C2×C4⋊C4C22×D4712yescomplemented
937C2×C4⋊C4C22×D4712yescomplemented
938C2×C4⋊C4C22×D4712yescomplemented
939C2×C4⋊C4C22×D4712yescomplemented
940C2×C22⋊C4—472no—
941C2×C22⋊C4—471no—
942C2×C22⋊C4—471no—
943C2×C22⋊C4—472no—
944C2×C22⋊C4—472no—
945C2×C22⋊C4—472no—
946C2×C22⋊C4—472no—
947C2×C22⋊C4—472no—
948C2×C22⋊C4—472no—
949C2×C22⋊C4—472no—
950C2×C22⋊C4—472no—
951C2×C22⋊C4—472no—
952C2×C22⋊C4—472no—
953C2×C22⋊C4—472no—
954C2×C22⋊C4—4716no—
955C2×C22⋊C4—4716no—
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—472no—
963C2×C22⋊C4—478no—
964C2×C22⋊C4—4716no—
965C2×C22⋊C4—4716no—
966C2×C22⋊C4—478no—
967C2×C22⋊C4C22×D4712yes—
968C2×C22⋊C4C22×D4712yes—
969C2×C22⋊C4C22×D4711yescharacteristic
970C2×C22⋊C4C22×D4712yes—
971C2×C22⋊C4C22×D4712yes—
972C2×C22⋊C4C22×D4712yes—
973C2×C22⋊C4C22×D47116yescomplemented
974C2×C22⋊C4C22×D4711yescharacteristic, complemented
975C2×C22⋊C4C22×D4712yescomplemented
976C2×C42—471no—
977C2×C42—472no—
978C2×C42C22×D4711yescharacteristic, complemented
979C2×C42C22×D4712yescomplemented
980C24—28no—
981C24—42no—
982C24—471no—
983C24—472no—
984C24—471no—
985C24—472no—
986C24—472no—
987C24—471no—
988C24—478no—
989C24—474no—
990C24—478no—
991C24—474no—
992C24—478no—
993C24—474no—
994C24—474no—
995C24—944no—
996C24—948no—
997C24—944no—
998C24—948no—
999C24—948no—
1000C24—948no—
1001C24—1884no—
1002C24—1884no—
1003C24—1882no—
1004C24—1884no—
1005C24—1884no—
1006C24—1884no—
1007C24—1884no—
1008C24—1884no—
1009C24—1882no—
1010C24—1884no—
1011C24—1884no—
1012C24—18832no—
1013C24—18816no—
1014C24—18864no—
1015C24C23×D4711yescharacteristic
1016C24C23×D4711yescharacteristic
1017C24C23×D4714yes—
1018C24C23×D4712yes—
1019#41—18832no—
1020#41—18816no—
1021C2×Q8—42no—
1022C2×Q8—478no—
1023C2×Q8—1884no—
1024C2×Q8C23×D4714yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—478no—
1028C2×D4—478no—
1029C2×D4—478no—
1030C2×D4—474no—
1031C2×D4—478no—
1032C2×D4—478no—
1033C2×D4—474no—
1034C2×D4—478no—
1035C2×D4—478no—
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—474no—
1045C2×D4—478no—
1046C2×D4—474no—
1047C2×D4—478no—
1048C2×D4—478no—
1049C2×D4—478no—
1050C2×D4—948no—
1051C2×D4—948no—
1052C2×D4—948no—
1053C2×D4—948no—
1054C2×D4—948no—
1055C2×D4—1884no—
1056C2×D4—1884no—
1057C2×D4—1884no—
1058C2×D4—1882no—
1059C2×D4—1884no—
1060C2×D4—1884no—
1061C2×D4—1884no—
1062C2×D4—1884no—
1063C2×D4—18832no—
1064C2×D4—1884no—
1065C2×D4—1884no—
1066C2×D4—1882no—
1067C2×D4—1884no—
1068C2×D4—18832no—
1069C2×D4—18816no—
1070C2×D4—18816no—
1071C2×D4—1882no—
1072C2×D4—1882no—
1073C2×D4—1884no—
1074C2×D4—1884no—
1075C2×D4—1884no—
1076C2×D4—1884no—
1077C2×D4—18832no—
1078C2×D4—18832no—
1079C2×D4—18832no—
1080C2×D4C23×D4718yes—
1081C2×D4C23×D4714yes—
1082C22×C4—28no—
1083C22×C4—44no—
1084C22×C4—42no—
1085C22×C4—472no—
1086C22×C4—472no—
1087C22×C4—472no—
1088C22×C4—471no—
1089C22×C4—478no—
1090C22×C4—474no—
1091C22×C4—478no—
1092C22×C4—478no—
1093C22×C4—478no—
1094C22×C4—478no—
1095C22×C4—478no—
1096C22×C4—944no—
1097C22×C4—1884no—
1098C22×C4—1884no—
1099C22×C4—1884no—
1100C22×C4—1884no—
1101C22×C4—1884no—
1102C22×C4—1884no—
1103C22×C4C23×D4718yes—
1104C22×C4C23×D4711yescharacteristic
1105C22×C4C23×D4712yes—
1106C22×C4C23×D4712yes—
1107C22×C4C23×D4712yes—
1108C22×C4C23×D4712yes—
1109C22×C4C23×D4712yes—
1110C22×C4C23×D4718yes—
1111C22×C4C23×D4714yescomplemented
1112C4⋊C4—478no—
1113C4⋊C4—478no—
1114C4⋊C4—478no—
1115C4⋊C4—478no—
1116C4⋊C4—478no—
1117C4⋊C4C23×D4718yescomplemented
1118C4⋊C4C23×D4718yescomplemented
1119C4⋊C4C23×D4718yescomplemented
1120C4⋊C4C23×D4718yescomplemented
1121C22⋊C4—478no—
1122C22⋊C4—474no—
1123C22⋊C4—474no—
1124C22⋊C4—478no—
1125C22⋊C4—478no—
1126C22⋊C4—478no—
1127C22⋊C4—478no—
1128C22⋊C4—478no—
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⋊C4C23×D4718yes—
1143C22⋊C4C23×D4718yes—
1144C22⋊C4C23×D4714yes—
1145C22⋊C4C23×D4718yes—
1146C22⋊C4C23×D4718yes—
1147C22⋊C4C23×D4718yes—
1148C22⋊C4C23×D4714yescomplemented
1149C22⋊C4C23×D4718yescomplemented
1150C42—474no—
1151C42—478no—
1152C42C23×D4714yescomplemented
1153C42C23×D4718yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—22no—
1157C23—22no—
1158C23—24no—
1159C23—216no—
1160C23—24no—
1161C23—44no—
1162C23—416no—
1163C23—474no—
1164C23—472no—
1165C23—474no—
1166C23—472no—
1167C23—474no—
1168C23—474no—
1169C23—472no—
1170C23—948no—
1171C23—9416no—
1172C23—948no—
1173C23—944no—
1174C23—9416no—
1175C23—944no—
1176C23—944no—
1177C23—942no—
1178C23—944no—
1179C23—942no—
1180C23—944no—
1181C23—944no—
1182C23—944no—
1183C23—944no—
1184C23—944no—
1185C23—9416no—
1186C23—9416no—
1187C23—944no—
1188C23—944no—
1189C23—944no—
1190C23—37616no—
1191C23—3768no—
1192C23—3768no—
1193C23—1888no—
1194C23—1888no—
1195C23—1884no—
1196C23—1888no—
1197C23—1888no—
1198C23—1888no—
1199C23—1888no—
1200C23—1888no—
1201C23—1884no—
1202C23—1888no—
1203C23—1888no—
1204C23—18832no—
1205C23—18832no—
1206C23—18816no—
1207C23—188128no—
1208C23—18816no—
1209C23#1309407018yes—
1210C23C24×D4712yes—
1211C23C24×D4712yes—
1212C23C24×D4714yes—
1213C23C24×D4711yescharacteristic
1214Q8—44no—
1215Q8—1888no—
1216D4—216no—
1217D4—44no—
1218D4—9416no—
1219D4—9416no—
1220D4—9416no—
1221D4—9416no—
1222D4—9416no—
1223D4—1888no—
1224D4—1888no—
1225D4—1888no—
1226D4—1884no—
1227D4—1888no—
1228D4—1888no—
1229D4—1888no—
1230D4—1888no—
1231D4—1888no—
1232D4—1888no—
1233D4—1884no—
1234D4—1888no—
1235D4—1884no—
1236D4—1884no—
1237D4—1888no—
1238D4—1888no—
1239D4—1888no—
1240D4—1888no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—24no—
1245C2×C4—24no—
1246C2×C4—216no—
1247C2×C4—24no—
1248C2×C4—48no—
1249C2×C4—44no—
1250C2×C4—474no—
1251C2×C4—474no—
1252C2×C4—474no—
1253C2×C4—472no—
1254C2×C4—948no—
1255C2×C4—942no—
1256C2×C4—944no—
1257C2×C4—944no—
1258C2×C4—944no—
1259C2×C4—1888no—
1260C2×C4—1888no—
1261C2×C4—1888no—
1262C2×C4—1888no—
1263C2×C4—1888no—
1264C2×C4—1888no—
1265C2×C4C24×D4712yes—
1266C2×C4C24×D4714yes—
1267C2×C4C24×D4714yes—
1268C2×C4C24×D4714yes—
1269C2×C4C24×D4714yes—
1270C2×C4C24×D4714yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—22no—
1275C22—22no—
1276C22—24no—
1277C22—24no—
1278C22—416no—
1279C22—44no—
1280C22—44no—
1281C22—474no—
1282C22—948no—
1283C22—944no—
1284C22—944no—
1285C22—944no—
1286C22—942no—
1287C22—944no—
1288C22—942no—
1289C22—944no—
1290C22—944no—
1291C22—944no—
1292C22—944no—
1293C22—944no—
1294C22—944no—
1295C22—944no—
1296C22—944no—
1297C22—37616no—
1298C22—3768no—
1299C22—3768no—
1300C22—18832no—
1301C22—18832no—
1302C22—18816no—
1303C22—18816no—
1304C22—1888no—
1305C22—1888no—
1306C22—1884no—
1307C22—1888no—
1308C22—1884no—
1309C22H(5,𝔽2)×D4712yes—
1310C22C2×#1309407018yes—
1311C22C2×#1309407014yes—
1312C22C25×D4711yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—24no—
1317C4—24no—
1318C4—24no—
1319C4—942no—
1320C4—944no—
1321C4—944no—
1322C4—944no—
1323C2—28no—
1324C2—42no—
1325C2—42no—
1326C2—944no—
1327C2—1884no—
1328C2—1884no—
1329C2—1882no—
1330C2—1884no—
1331C2—1882no—
1332C2#2025754414yesdirect product factor
1333C2C2×H(5,𝔽2)×D4711yescharacteristic
1334C2C22×#1309407012yes—
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#551C2
socleC23×C47C25
hypercenterC2×#551D47
hypocenterC47C2×#3532
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #20257544C2direct (N × H)
2. C2×#15689865C2semidirect
3. C2×#15689864C2semidirect
4. C2×#15689863C2semidirect
5. C2×#15689797C2semidirect
6. C2×#15689765C2semidirect
7. C2×#15689764C2semidirect
8. C2×#15689763C2semidirect
9. C2×D4×D188C2semidirect
10. C2×#15689755C2semidirect
11. C2×#15689713C2semidirect
12. C2×#15689712C2semidirect
13. C2×#15689706C2semidirect
14. C2×#15689692C2semidirect
15. C2×#15689691C2semidirect
16. C2×#15689684C2semidirect
17. C2×#15689684C2semidirect
18. C22×#13093994C2semidirect
19. C2×#120×D47C2semidirect
20. C2×C47×#551C2semidirect
21. C25×D47C22semidirect
22. C22×#10625354C22semidirect
23. C22×#10625350C22semidirect
24. C23×D188C22semidirect
25. C23×D188C22semidirect
26. C23×D188C22semidirect
27. C23×C22⋊D47C22semidirect
28. C22×D4×D47C22semidirect
29. C22×D4×D47C22semidirect
30. C22×D4×D47C22semidirect
31. #15689865C22semidirect
32. #15689864C22semidirect
33. #15689863C22semidirect
34. #15689797C22semidirect
35. #15689765C22semidirect
36. #15689764C22semidirect
37. #15689763C22semidirect
38. D4×D188C22semidirect
39. #15689755C22semidirect
40. #15689713C22semidirect
41. #15689712C22semidirect
42. #15689706C22semidirect
43. #15689692C22semidirect
44. #15689691C22semidirect
45. #15689684C22semidirect
46. #15689684C22semidirect
47. C2×#13094021C22semidirect
48. C2×#13094021C22semidirect
49. C2×#13094020C22semidirect
50. C2×#13094019C22semidirect
51. C2×#13094019C22semidirect
52. C2×#13094018C22semidirect
53. C2×#13094013C22semidirect
54. C2×#13094013C22semidirect
55. C2×#13094012C22semidirect
56. C2×#13094012C22semidirect
57. C2×#13094010C22semidirect
58. C2×#13094010C22semidirect
59. C2×#13094009C22semidirect
60. C2×#13094009C22semidirect
61. C2×#13094009C22semidirect
62. C2×#13094009C22semidirect
63. C2×#13094009C22semidirect
64. C2×#13094007C22semidirect
65. C2×#13094007C22semidirect
66. C2×#13094006C22semidirect
67. C2×#13094002C22semidirect
68. C2×#13094001C22semidirect
69. C2×#13093999C22semidirect
70. C2×#13093999C22semidirect
71. C2×#13093999C22semidirect
72. C2×#13093999C22semidirect
73. C2×#13093999C22semidirect
74. C2×#13093999C22semidirect
75. C2×#13093999C22semidirect
76. C2×#13093998C22semidirect
77. C2×#13093998C22semidirect
78. C2×#13093997C22semidirect
79. C2×#13093997C22semidirect
80. C2×#13093997C22semidirect
81. C2×#13093997C22semidirect
82. C2×#13093997C22semidirect
83. C2×#13093996C22semidirect
85. C2×#13093994C22semidirect
86. C2×#13093994C22semidirect
87. C2×#13093994C22semidirect
88. C2×#13093994C22semidirect
89. C2×#13093994C22semidirect
90. C2×#13093994C22semidirect
91. C2×#13093994C22semidirect
92. C2×#13093994C22semidirect
93. C2×#13093994C22semidirect
94. C2×#13093994C22semidirect
95. C2×#13093994C22semidirect
96. C2×#13093994C22semidirect
97. C2×#13093994C22semidirect
98. C2×#13093994C22semidirect
99. C2×#13093994C22semidirect
100. C2×#13093993C22semidirect
101. C2×#13093992C22semidirect
102. C2×#13093992C22semidirect
103. C2×#13093992C22semidirect
104. #120×D47C22semidirect
105. C2×C4×D188C22semidirect
106. C2×#13093986C22semidirect
107. C2×C4×C22⋊D47C22semidirect
108. C2×(C22⋊D47)⋊C4C22semidirect
109. C2×(C22⋊D47)⋊C4C22semidirect
110. C2×#13093981C22semidirect
111. C22×(C2×D47)⋊C4C22semidirect
112. C22×(C2×D47)⋊C4C22semidirect
113. C2×C22⋊C4×D47C22semidirect
114. C2×C22⋊C4×D47C22semidirect
115. C2×C22⋊C4×D47C22semidirect
116. C2×C22⋊C4×D47C22semidirect
117. C47×#551C22semidirect
118. C2×#126×C47C22semidirect
119. C2×#124×C47C22semidirect
120. C2×#123×C47C22semidirect
121. C2×#123×C47C22semidirect
122. C2×C22⋊Q8×C47C22semidirect
124. C2×C4×D4×C47C22semidirect
125. C2×#117×C47C22semidirect
126. C22×C22⋊C4×C47C22semidirect
135. C24×D47C23semidirect
136. C24×D47C23semidirect
138. C2×#10625354C23semidirect
140. C2×#10625350C23semidirect
141. C22×Dic94C23semidirect
155. C22×D188C23semidirect
156. C22×D188C23semidirect
157. C22×D188C23semidirect
158. C22×D188C23semidirect
159. C22×D188C23semidirect
160. C22×D188C23semidirect
161. C22×D188C23semidirect
171. C22×C22⋊D47C23semidirect
172. C22×C22⋊D47C23semidirect
176. C2×D4×D47C23semidirect
177. C2×D4×D47C23semidirect
178. C2×D4×D47C23semidirect
182. C22×C4×D47C23semidirect
183. C22×C4×D47C23semidirect
184. C22×C4×D47C23semidirect
185. C22×C4×D47C23semidirect
186. #13094021C23semidirect
187. #13094021C23semidirect
188. #13094020C23semidirect
189. #13094019C23semidirect
190. #13094019C23semidirect
191. #13094018C23semidirect
192. #13094013C23semidirect
193. #13094013C23semidirect
194. #13094012C23semidirect
195. #13094012C23semidirect
196. #13094010C23semidirect
197. #13094010C23semidirect
198. #13094009C23semidirect
199. #13094009C23semidirect
200. #13094009C23semidirect
201. #13094009C23semidirect
202. #13094009C23semidirect
203. #13094007C23semidirect
204. #13094007C23semidirect
205. #13094006C23semidirect
206. #13094002C23semidirect
207. #13094001C23semidirect
208. #13093999C23semidirect
209. #13093999C23semidirect
210. #13093999C23semidirect
211. #13093999C23semidirect
212. #13093999C23semidirect
213. #13093999C23semidirect
214. #13093999C23semidirect
215. #13093998C23semidirect
216. #13093998C23semidirect
217. #13093997C23semidirect
218. #13093997C23semidirect
219. #13093997C23semidirect
220. #13093997C23semidirect
221. #13093997C23semidirect
222. #13093996C23semidirect
224. #13093994C23semidirect
225. #13093994C23semidirect
226. #13093994C23semidirect
227. #13093994C23semidirect
228. #13093994C23semidirect
229. #13093994C23semidirect
230. #13093994C23semidirect
231. #13093994C23semidirect
232. #13093994C23semidirect
233. #13093994C23semidirect
234. #13093994C23semidirect
235. #13093994C23semidirect
236. #13093994C23semidirect
237. #13093994C23semidirect
238. #13093993C23semidirect
239. #13093992C23semidirect
240. #13093992C23semidirect
241. #13093992C23semidirect
242. C4×D188C23semidirect
243. #13093986C23semidirect
244. C4×C22⋊D47C23semidirect
245. (C22⋊D47)⋊C4C23semidirect
246. (C22⋊D47)⋊C4C23semidirect
247. #13093981C23semidirect
248. C2×C4⋊Dic47C23semidirect
249. C2×Dic47⋊C4C23semidirect
250. C2×Dic47⋊C4C23semidirect
251. C2×Dic47⋊C4C23semidirect
252. C2×Dic47⋊C4C23semidirect
255. C2×C22⋊Dic47C23semidirect
267. C2×(C2×D47)⋊C4C23semidirect
268. C2×(C2×D47)⋊C4C23semidirect
269. C2×(C2×D47)⋊C4C23semidirect
270. C2×(C2×D47)⋊C4C23semidirect
271. C2×(C2×D47)⋊C4C23semidirect
272. C2×(C2×D47)⋊C4C23semidirect
273. C2×(C2×D47)⋊C4C23semidirect
274. C2×(C2×D47)⋊C4C23semidirect
275. C2×(C2×D47)⋊C4C23semidirect
276. C22⋊C4×D47C23semidirect
277. C22⋊C4×D47C23semidirect
278. C22⋊C4×D47C23semidirect
279. C22⋊C4×D47C23semidirect
280. C2×C4×Dic47C23semidirect
281. C2×C4×Dic47C23semidirect
283. C22×Q8×C47C23semidirect
288. C23×C4×C47C23semidirect
289. #126×C47C23semidirect
290. #124×C47C23semidirect
291. #123×C47C23semidirect
292. #123×C47C23semidirect
293. C22⋊Q8×C47C23semidirect
295. C4×D4×C47C23semidirect
296. #117×C47C23semidirect
297. C2×C4⋊C4×C47C23semidirect
298. C2×C4⋊C4×C47C23semidirect
299. C2×C4⋊C4×C47C23semidirect
300. C2×C4⋊C4×C47C23semidirect
307. C2×C22⋊C4×C47C23semidirect
308. C2×C22⋊C4×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C42×C47C23semidirect
311. C2×C42×C47C23semidirect
350. C23×D47C24semidirect
352. C2×Q8×C47C24semidirect
368. C22×C4×C47C24semidirect
387. C2×C22⋊D47C24semidirect
426. C2×D188C24semidirect
427. C2×D188C24semidirect
428. C2×D188C24semidirect
429. C2×D188C24semidirect
438. C2×C4×D47C24semidirect
439. C2×C4×D47C24semidirect
440. C2×C4×D47C24semidirect
441. C2×C4×D47C24semidirect
443. C2×Dic94C24semidirect
444. C4⋊C4×C47C24semidirect
445. C4⋊C4×C47C24semidirect
446. C4⋊C4×C47C24semidirect
447. C4⋊C4×C47C24semidirect
454. C22⋊C4×C47C24semidirect
455. C22⋊C4×C47C24semidirect
456. C42×C47C24semidirect
457. C42×C47C24semidirect
460. C22⋊Dic47C24semidirect
472. (C2×D47)⋊C4C24semidirect
473. (C2×D47)⋊C4C24semidirect
474. (C2×D47)⋊C4C24semidirect
475. (C2×D47)⋊C4C24semidirect
476. (C2×D47)⋊C4C24semidirect
477. (C2×D47)⋊C4C24semidirect
478. (C2×D47)⋊C4C24semidirect
479. C4⋊Dic47C24semidirect
480. Dic47⋊C4C24semidirect
481. Dic47⋊C4C24semidirect
482. Dic47⋊C4C24semidirect
483. Dic47⋊C4C24semidirect
484. C4×Dic47C24semidirect
485. C4×Dic47C24semidirect
661. C2×#551D47semidirect
679. C2×C47#3532semidirect
702. #551C2×D47semidirect
721. C2×#126C2×D47semidirect
728. C2×#124C2×D47semidirect
737. C2×#123C2×D47semidirect
738. C2×#123C2×D47semidirect
741. C2×C22⋊Q8C2×D47semidirect
784. C2×C4×D4C2×D47semidirect
786. C2×#117C2×D47semidirect
793. C22×C22⋊C4C2×D47semidirect
794. C47C2×#3532semidirect
811. C22×Q8C22×D47semidirect
860. C23×C4C22×D47semidirect
867. #126C22×D47semidirect
874. #124C22×D47semidirect
883. #123C22×D47semidirect
884. #123C22×D47semidirect
887. C22⋊Q8C22×D47semidirect
928. C4×D4C22×D47semidirect
930. #117C22×D47semidirect
936. C2×C4⋊C4C22×D47semidirect
937. C2×C4⋊C4C22×D47semidirect
938. C2×C4⋊C4C22×D47semidirect
939. C2×C4⋊C4C22×D47semidirect
973. C2×C22⋊C4C22×D47semidirect
974. C2×C22⋊C4C22×D47semidirect
975. C2×C22⋊C4C22×D47semidirect
978. C2×C42C22×D47semidirect
979. C2×C42C22×D47semidirect
1024. C2×Q8C23×D47semidirect
1111. C22×C4C23×D47semidirect
1117. C4⋊C4C23×D47semidirect
1118. C4⋊C4C23×D47semidirect
1119. C4⋊C4C23×D47semidirect
1120. C4⋊C4C23×D47semidirect
1148. C22⋊C4C23×D47semidirect
1149. C22⋊C4C23×D47semidirect
1152. C42C23×D47semidirect
1153. C42C23×D47semidirect
1332. C2#20257544direct (N × H)

Maximal subgroups

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

subgroupindex
#202575442
C2×#156898652
C2×#156898642
C2×#156898632
C2×#156897972
C2×#156897652
C2×#156897642
C2×#156897632
C2×D4×D1882
C2×#156897552
C2×#156897132
C2×#156897122
C2×#156897062
C2×#156896922
C2×#156896912
C2×#156896842
C22×#130939942
C2×#120×D472
C2×C47×#5512
C2×#353247