Finite Group Databasebeta

← C2×#20257071 #27124185

Subgroups — C2×#20257071 #27124185

Order 12032.

9502 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257071C2132yesmaximal, direct product factor
2C2×#15689802C212yesmaximal, complemented
3C2×#15689800C212yesmaximal, complemented
4C2×#15689797C212yesmaximal, complemented
5C2×#15689796C212yesmaximal, complemented
6C2×#15689768C212yesmaximal, complemented
7C2×#15689765C212yesmaximal, complemented
8C2×#15689762C212yesmaximal, complemented
9C2×#15689761C212yesmaximal, complemented
10C2×#15689748C211yesmaximal, characteristic, complemented
11C2×#15689713C211yesmaximal, characteristic, complemented
12C2×#15689710C211yesmaximal, characteristic, complemented
13C2×#15689706C212yesmaximal, complemented
14C2×#15689681C211yesmaximal, characteristic, complemented
15C2×#15689634C211yesmaximal, characteristic, complemented
16C2×#15689629C212yesmaximal, complemented
17C2×#120×D47C212yesmaximal, complemented
18C2×#15689595C212yesmaximal, complemented
19C23×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
20C2×C47×#525C211yesmaximal, characteristic, complemented
21C25×D47C2211yescharacteristic
22C22×#10625350C2211yescharacteristic, complemented
23C22×#10625352C2212yescomplemented
24C22×D4×D47C2212yes—
25C22×D4×D47C2212yescomplemented
26C22×D4×D47C2212yescomplemented
27C24×Dic47C2211yescharacteristic, complemented
28#15689802C22132yescomplemented
29#15689800C22132yescomplemented
30#15689797C22132yescomplemented
31#15689796C22132yescomplemented
32#15689768C22132yescomplemented
33#15689765C22132yescomplemented
34#15689762C22132yescomplemented
35#15689761C22132yescomplemented
36#15689748C22116yescomplemented
37#15689713C22116yescomplemented
38#15689710C22116yescomplemented
39#15689706C22132yescomplemented
40#15689681C22116yescomplemented
41C2×#13094019C2212yescomplemented
42C2×#13094019C2212yescomplemented
43C2×#13094019C2212yescomplemented
44C2×#13094018C2212yescomplemented
45C2×#13094013C2212yescomplemented
46C2×#13094012C2212yescomplemented
47C2×#13094010C2212yescomplemented
48C2×#13094010C2212yescomplemented
49#15689634C22116yescomplemented
50#15689629C22132yescomplemented
51C2×#13094009C2212yescomplemented
52C2×#13094009C2212yescomplemented
53C2×#13094009C2212yescomplemented
54C2×#13094008C2212yescomplemented
55C2×#13094008C2212yescomplemented
56C2×#13094007C2212yescomplemented
57C2×#13094007C2212yescomplemented
58C2×#13094006C2212yescomplemented
59C2×#13094005C2212yescomplemented
60C2×#13094004C2212yescomplemented
61C2×#13094003C2211yescharacteristic, complemented
62C2×#13094003C2211yescharacteristic, complemented
63C2×#13094002C2212yescomplemented
64C2×#13094002C2212yescomplemented
65C2×#13094001C2212yescomplemented
66C2×#13094001C2212yescomplemented
67C2×#13094000C2212yescomplemented
68C2×#13093999C2212yescomplemented
69C2×#13093998C2211yescharacteristic, complemented
70C2×#13093998C2211yescharacteristic, complemented
71C2×#13093998C2212yescomplemented
72C2×#13093997C2212yescomplemented
73C2×#13093996C2212yescomplemented
74C2×#13093996C2212yescomplemented
75C2×#13093996C2212yescomplemented
76C2×#13093994C2212yes—
77C2×#13093994C2212yes—
78C2×#13093994C2212yescomplemented
79C2×#13093994C2212yescomplemented
80C2×#13093993C2212yescomplemented
81C2×#13093992C2212yes—
82C2×#13093992C2212yes—
83C2×#13093992C2212yescomplemented
84C2×#13093992C2212yescomplemented
85#120×D47C22132yescomplemented
86#15689595C22132yescomplemented
87C2×C4×D188C2212yescomplemented
88C2×D4×Dic47C2212yescomplemented
89C2×D4×Dic47C2212yescomplemented
90C2×#13093986C2212yescomplemented
91C2×C4×C22⋊D47C2212yescomplemented
92C2×C4×C22⋊D47C2212yescomplemented
93C2×C4×C22⋊D47C2212yescomplemented
94C2×(C22⋊D47)⋊C4C2212yescomplemented
95C2×(C22⋊D47)⋊C4C2212yescomplemented
96C2×(C22⋊D47)⋊C4C2212yescomplemented
97C2×#13093983C2211yescharacteristic, complemented
98C2×#13093982C2212yescomplemented
99C2×#13093981C2212yescomplemented
100C2×#13093980C2212yescomplemented
101C22×(C2×D47)⋊C4C2211yescharacteristic
102C22×(C2×D47)⋊C4C2211yescharacteristic
103C22×(C2×D47)⋊C4C2212yescomplemented
104C22×(C2×D47)⋊C4C2212yescomplemented
105C22×(C2×D47)⋊C4C2212yescomplemented
106C22×(C2×D47)⋊C4C2212yescomplemented
107C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
108C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
109C22×(C2×D47)⋊C4C22116yescomplemented
110C22×(C2×D47)⋊C4C2212yescomplemented
111C2×C22⋊C4×D47C2212yes—
112C2×C22⋊C4×D47C2212yescomplemented
113C2×C22⋊C4×D47C2212yescomplemented
114C2×C22⋊C4×D47C2212yescomplemented
115C22×#41×C47C2211yescharacteristic, complemented
116C24×C4×C47C2211yescharacteristic, complemented
117C47×#525C22116yescomplemented
118C2×#123×C47C2212yescomplemented
119C2×C22⋊Q8×C47C2211yescharacteristic, complemented
120C2×C22⋊Q8×C47C2211yescharacteristic, complemented
121C2×#121×C47C2211yescharacteristic, complemented
122C2×#121×C47C2211yescharacteristic, complemented
123C2×#120×C47C2212yescomplemented
124C2×C4×D4×C47C2212yescomplemented
125C2×C4×D4×C47C2212yescomplemented
126C2×#117×C47C2211yescharacteristic, complemented
127C24×D47—28no—
128C24×D47—44no—
129C24×D47—44no—
130C24×D47C2312yes—
131C24×D47C2312yes—
132C24×D47C2312yes—
133C24×D47C2318yes—
134C24×D47C2311yescharacteristic
135C24×D47C2311yescharacteristic
136C2×#10625350—44no—
137C2×#10625350C2318yescomplemented
138C2×#10625352—48no—
139C2×#10625352C23116yescomplemented
140C22×Dic94C2312yescomplemented
141C22×Dic94C2311yescharacteristic, complemented
142C22×D188C2312yes—
143C22×D188C2312yes—
144C22×D188C2312yes—
145C22×D188C2311yescharacteristic, complemented
146C22×C22⋊D47C2312yes—
147C22×C22⋊D47C2312yes—
148C22×C22⋊D47C2312yes—
149C22×C22⋊D47C2312yes—
150C22×C22⋊D47C2312yes—
151C22×C22⋊D47C2312yes—
152C22×C22⋊D47C2312yescomplemented
153C2×D4×D47—216no—
154C2×D4×D47—48no—
155C2×D4×D47—48no—
156C2×D4×D47C23116yes—
157C2×D4×D47C23116yescomplemented
158C2×D4×D47C23116yescomplemented
159C23×Dic47—44no—
160C23×Dic47C2312yes—
161C23×Dic47C2311yescharacteristic
162C23×Dic47C2311yescharacteristic
163C23×Dic47C2312yes—
164C23×Dic47C2318yescomplemented
165C23×Dic47C2312yescomplemented
166C22×C4×D47C2312yes—
167C22×C4×D47C2312yes—
168C22×C4×D47C2312yes—
169C22×C4×D47C2312yescomplemented
170C22×C4×D47C2312yescomplemented
171#13094019C23116yescomplemented
172#13094019C23116yescomplemented
173#13094019C23116yescomplemented
174#13094018C23116yescomplemented
175#13094013C23116yescomplemented
176#13094012C23116yescomplemented
177#13094010C23116yescomplemented
178#13094010C23116yescomplemented
179#13094009C23116yescomplemented
180#13094009C23116yescomplemented
181#13094009C23116yescomplemented
182#13094008C23116yescomplemented
183#13094008C23116yescomplemented
184#13094007C23116yescomplemented
185#13094007C23116yescomplemented
186#13094006C23116yescomplemented
187#13094005C23116yescomplemented
188#13094004C23116yescomplemented
189#13094003C2318yescomplemented
190#13094003C2318yescomplemented
191#13094002C23116yescomplemented
192#13094002C23116yescomplemented
193#13094001C23116yescomplemented
194#13094001C23116yescomplemented
195#13094000C23116yescomplemented
196#13093999C23116yescomplemented
197#13093998C23116yescomplemented
198#13093998C2318yescomplemented
199#13093998C2318yescomplemented
200#13093997C23116yescomplemented
201#13093996C23116yescomplemented
202#13093996C23116yescomplemented
203#13093996C23116yescomplemented
204#13093994C23116yes—
205#13093994C23116yes—
206#13093994C23116yescomplemented
207#13093994C23116yescomplemented
208#13093993C23116yescomplemented
209#13093992C23116yes—
210#13093992C23116yes—
211#13093992C23116yescomplemented
212#13093992C23116yescomplemented
213C4×D188C23116yescomplemented
214D4×Dic47C23116yescomplemented
215D4×Dic47C23116yescomplemented
216#13093986C23116yescomplemented
217C4×C22⋊D47C23116yescomplemented
218C4×C22⋊D47C23116yescomplemented
219C4×C22⋊D47C23116yescomplemented
220(C22⋊D47)⋊C4C23116yescomplemented
221(C22⋊D47)⋊C4C23116yescomplemented
222(C22⋊D47)⋊C4C23116yescomplemented
223#13093983C2318yescomplemented
224#13093982C23116yescomplemented
225#13093981C23116yescomplemented
226#13093980C23116yescomplemented
227C2×C4⋊Dic47C2312yescomplemented
228C2×C4⋊Dic47C2311yescharacteristic, complemented
229C2×C4⋊Dic47C2311yescharacteristic, complemented
230C2×C4⋊Dic47C2312yescomplemented
231C2×Dic47⋊C4C2312yescomplemented
232C2×Dic47⋊C4C2312yescomplemented
233C2×Dic47⋊C4C2312yescomplemented
234C2×Dic47⋊C4C2312yescomplemented
235C2×Dic47⋊C4C2312yescomplemented
236C2×Dic47⋊C4C2312yescomplemented
237C2×C22⋊Dic47C2312yes—
238C2×C22⋊Dic47C2312yes—
239C2×C22⋊Dic47C2312yes—
240C2×C22⋊Dic47C2312yescomplemented
241C2×C22⋊Dic47C2312yescomplemented
242C2×(C2×D47)⋊C4C2318yes—
243C2×(C2×D47)⋊C4C2312yes—
244C2×(C2×D47)⋊C4C2312yes—
245C2×(C2×D47)⋊C4C2312yes—
246C2×(C2×D47)⋊C4C2312yes—
247C2×(C2×D47)⋊C4C2312yes—
248C2×(C2×D47)⋊C4C2312yes—
249C2×(C2×D47)⋊C4C2312yes—
250C2×(C2×D47)⋊C4C2312yes—
251C2×(C2×D47)⋊C4C2318yes—
252C2×(C2×D47)⋊C4C2312yes—
253C2×(C2×D47)⋊C4C2312yes—
254C2×(C2×D47)⋊C4C2312yes—
255C2×(C2×D47)⋊C4C2312yes—
256C2×(C2×D47)⋊C4C2312yes—
257C2×(C2×D47)⋊C4C2312yes—
258C2×(C2×D47)⋊C4C23116yescomplemented
259C2×(C2×D47)⋊C4C23116yescomplemented
260C2×(C2×D47)⋊C4C23116yescomplemented
261C2×(C2×D47)⋊C4C23116yescomplemented
262C2×(C2×D47)⋊C4C2318yescomplemented
263C2×(C2×D47)⋊C4C2318yescomplemented
264C2×(C2×D47)⋊C4C23116yescomplemented
265C2×(C2×D47)⋊C4C2312yescomplemented
266C2×(C2×D47)⋊C4C2312yescomplemented
267C2×(C2×D47)⋊C4C2312yescomplemented
268C2×(C2×D47)⋊C4C2312yescomplemented
269C22⋊C4×D47C23116yes—
270C22⋊C4×D47C23116yescomplemented
271C22⋊C4×D47C23116yescomplemented
272C22⋊C4×D47C23116yescomplemented
273C2×C4×Dic47C2312yescomplemented
274C2×C4×Dic47C2312yescomplemented
275C2×C4×Dic47C2312yescomplemented
276C25×C47C2311yescharacteristic
277C2×#41×C47—44no—
278C2×#41×C47C2318yescomplemented
279C22×Q8×C47C2311yescharacteristic, complemented
280C22×D4×C47C2312yes—
281C22×D4×C47C2312yes—
282C22×D4×C47C2312yes—
283C22×D4×C47C2311yescharacteristic, complemented
284C23×C4×C47—44no—
285C23×C4×C47C2311yescharacteristic
286C23×C4×C47C2311yescharacteristic
287C23×C4×C47C2311yescharacteristic
288C23×C4×C47C2311yescharacteristic
289C23×C4×C47C2311yescharacteristic
290C23×C4×C47C2311yescharacteristic
291C23×C4×C47C2318yescomplemented
292C23×C4×C47C2312yescomplemented
293#123×C47C23116yescomplemented
294C22⋊Q8×C47C2318yescomplemented
295C22⋊Q8×C47C2318yescomplemented
296#121×C47C2318yescomplemented
297#121×C47C2318yescomplemented
298#120×C47C23116yescomplemented
299C4×D4×C47C23116yescomplemented
300C4×D4×C47C23116yescomplemented
301#117×C47C2318yescomplemented
302C2×C4⋊C4×C47C2311yescharacteristic, complemented
303C2×C4⋊C4×C47C2311yescharacteristic, complemented
304C2×C4⋊C4×C47C2312yescomplemented
305C2×C4⋊C4×C47C2312yescomplemented
306C2×C22⋊C4×C47C2312yes—
307C2×C22⋊C4×C47C2312yes—
308C2×C22⋊C4×C47C2312yes—
309C2×C22⋊C4×C47C2312yescomplemented
310C2×C22⋊C4×C47C2312yescomplemented
311C2×C42×C47C2312yescomplemented
312C24×C47—24no—
313C24×C47—24no—
314C24×C47—24no—
315C24×C47C2412yes—
316C24×C47C2414yes—
317C24×C47C2411yescharacteristic
318C24×C47C2411yescharacteristic
319C24×C47C2411yescharacteristic
320C23×D47—24no—
321C23×D47—28no—
322C23×D47—28no—
323C23×D47—28no—
324C23×D47—28no—
325C23×D47—232no—
326C23×D47—28no—
327C23×D47—42no—
328C23×D47—42no—
329C23×D47—44no—
330C23×D47—44no—
331C23×D47—42no—
332C23×D47—42no—
333C23×D47—416no—
334C23×D47—416no—
335C23×D47—44no—
336C23×D47—44no—
337C23×D47—464no—
338C23×D47#4118yescomplemented
339C23×D47C2412yes—
340C23×D47C2412yes—
341C23×D47C2418yes—
342C23×D47C2418yes—
343C23×D47C2412yes—
344C23×D47C2418yes—
345C23×D47C2414yes—
346C23×D47C2414yes—
347#41×C47—416no—
348C2×Q8×C47—42no—
349C2×Q8×C47C2414yescomplemented
350C2×D4×C47—28no—
351C2×D4×C47—28no—
352C2×D4×C47—28no—
353C2×D4×C47—42no—
354C2×D4×C47C2418yes—
355C2×D4×C47C2418yes—
356C2×D4×C47C2418yes—
357C2×D4×C47C2414yescomplemented
358C22×C4×C47—24no—
359C22×C4×C47—24no—
360C22×C4×C47—42no—
361C22×C4×C47—42no—
362C22×C4×C47—42no—
363C22×C4×C47—42no—
364C22×C4×C47—416no—
365C22×C4×C47—44no—
366C22×C4×C47C2411yescharacteristic
367C22×C4×C47C2412yes—
368C22×C4×C47C2412yes—
369C22×C4×C47C2412yes—
370C22×C4×C47C2411yescharacteristic
371C22×C4×C47C2411yescharacteristic
372C22×C4×C47C2411yescharacteristic
373C22×C4×C47C2414yes—
374C22×C4×C47C2414yes—
375C22×C4×C47C2414yes—
376C22×C4×C47C2414yes—
377C22×C4×C47C2414yes—
378C22×C4×C47C2414yes—
379C22×C4×C47C2418yescomplemented
380C2×C22⋊D47—28no—
381C2×C22⋊D47—28no—
382C2×C22⋊D47—28no—
383C2×C22⋊D47—28no—
384C2×C22⋊D47—44no—
385C2×C22⋊D47—44no—
386C2×C22⋊D47—44no—
387C2×C22⋊D47C2418yes—
388C2×C22⋊D47C2418yes—
389C2×C22⋊D47C2418yes—
390C2×C22⋊D47C2418yes—
391C2×C22⋊D47C2418yes—
392C2×C22⋊D47C2418yes—
393C2×C22⋊D47C2418yescomplemented
394C22×Dic47—28no—
395C22×Dic47—42no—
396C22×Dic47—44no—
397C22×Dic47—42no—
398C22×Dic47—416no—
399C22×Dic47—44no—
400C22×Dic47C2412yes—
401C22×Dic47C2412yes—
402C22×Dic47C2412yes—
403C22×Dic47C2412yes—
404C22×Dic47C2412yes—
405C22×Dic47C2418yes—
406C22×Dic47C2414yes—
407C22×Dic47C2414yes—
408C22×Dic47C2418yes—
409C22×Dic47C2418yescomplemented
410#10625352—432no—
411D4×D47—264no—
412D4×D47—432no—
413D4×D47—432no—
414#10625350—416no—
415C2×D188—28no—
416C2×D188—44no—
417C2×D188—44no—
418C2×D188—42no—
419C2×D188C2418yes—
420C2×D188C2418yes—
421C2×D188C2418yes—
422C2×D188C2414yescomplemented
423C2×C4×D47—28no—
424C2×C4×D47—44no—
425C2×C4×D47—44no—
426C2×C4×D47—44no—
427C2×C4×D47—44no—
428C2×C4×D47C2418yes—
429C2×C4×D47C2418yes—
430C2×C4×D47C2418yes—
431C2×C4×D47C2418yescomplemented
432C2×C4×D47C2418yescomplemented
433C2×Dic94—44no—
434C2×Dic94—42no—
435C2×Dic94C2418yescomplemented
436C2×Dic94C2414yescomplemented
437C4⋊C4×C47C2414yescomplemented
438C4⋊C4×C47C2414yescomplemented
439C4⋊C4×C47C2418yescomplemented
440C4⋊C4×C47C2418yescomplemented
441C22⋊C4×C47C2418yes—
442C22⋊C4×C47C2418yes—
443C22⋊C4×C47C2418yes—
444C22⋊C4×C47C2418yescomplemented
445C22⋊C4×C47C2418yescomplemented
446C42×C47C2418yescomplemented
447C22⋊Dic47C2418yes—
448C22⋊Dic47C2418yes—
449C22⋊Dic47C2418yes—
450C22⋊Dic47C2418yescomplemented
451C22⋊Dic47C2418yescomplemented
452(C2×D47)⋊C4C2418yes—
453(C2×D47)⋊C4C2418yes—
454(C2×D47)⋊C4C2418yes—
455(C2×D47)⋊C4C2418yes—
456(C2×D47)⋊C4C2418yes—
457(C2×D47)⋊C4C2418yes—
458(C2×D47)⋊C4C2418yes—
459(C2×D47)⋊C4C2418yes—
460(C2×D47)⋊C4C2418yes—
461(C2×D47)⋊C4C2418yes—
462(C2×D47)⋊C4C2418yes—
463(C2×D47)⋊C4C2418yes—
464(C2×D47)⋊C4C2418yes—
465(C2×D47)⋊C4C2418yes—
466(C2×D47)⋊C4C2418yescomplemented
467(C2×D47)⋊C4C2418yescomplemented
468(C2×D47)⋊C4C2418yescomplemented
469(C2×D47)⋊C4C2418yescomplemented
470C4⋊Dic47C2418yescomplemented
471C4⋊Dic47C2414yescomplemented
472C4⋊Dic47C2414yescomplemented
473C4⋊Dic47C2418yescomplemented
474Dic47⋊C4C2418yescomplemented
475Dic47⋊C4C2418yescomplemented
476Dic47⋊C4C2418yescomplemented
477Dic47⋊C4C2418yescomplemented
478Dic47⋊C4C2418yescomplemented
479Dic47⋊C4C2418yescomplemented
480C4×Dic47C2418yescomplemented
481C4×Dic47C2418yescomplemented
482C4×Dic47C2418yescomplemented
483C23×C47—232no—
484C23×C47—28no—
485C23×C47—22no—
486C23×C47—22no—
487C23×C47—28no—
488C23×C47—22no—
489C23×C47—22no—
490C23×C47—28no—
491C23×C47—22no—
492C23×C47—22no—
493C23×C47—24no—
494C23×C47—24no—
495C23×C47—24no—
496C23×C47C2×#4114yes—
497C23×C47H(5,𝔽2)14yes—
498C23×C47H(5,𝔽2)14yes—
499C23×C47C2514yes—
500C23×C47C2512yes—
501C23×C47C2512yes—
502C23×C47C2512yes—
503C23×C47C2511yescharacteristic
504C22×D47—24no—
505C22×D47—24no—
506C22×D47—24no—
507C22×D47—28no—
508C22×D47—24no—
509C22×D47—24no—
510C22×D47—24no—
511C22×D47—24no—
512C22×D47—24no—
513C22×D47—216no—
514C22×D47—216no—
515C22×D47—216no—
516C22×D47—216no—
517C22×D47—216no—
518C22×D47—416no—
519C22×D47—44no—
520C22×D47—44no—
521C22×D47—48no—
522C22×D47—48no—
523C22×D47—44no—
524C22×D47—44no—
525C22×D47—48no—
526C22×D47—48no—
527C22×D47—432no—
528C22×D47—432no—
529C22×D47—4128no—
530C22×D47—416no—
531C22×D47—816no—
532C22×D47C2×#4118yes—
533C22×D47C2×#41116yescomplemented
534C22×D47C2514yes—
535C22×D47C2514yes—
536C22×D47C2514yes—
537Q8×C47—44no—
538D4×C47—216no—
539D4×C47—216no—
540D4×C47—216no—
541D4×C47—44no—
542C2×C4×C47—24no—
543C2×C4×C47—24no—
544C2×C4×C47—22no—
545C2×C4×C47—22no—
546C2×C4×C47—24no—
547C2×C4×C47—28no—
548C2×C4×C47—22no—
549C2×C4×C47—22no—
550C2×C4×C47—28no—
551C2×C4×C47—44no—
552C2×C4×C47—44no—
553C2×C4×C47—44no—
554C2×C4×C47—44no—
555C2×C4×C47—48no—
556C2×C4×C47C2512yes—
557C2×C4×C47C2514yes—
558C2×C4×C47C2514yes—
559C2×C4×C47C2512yes—
560C2×C4×C47C2512yes—
561C2×C4×C47C2514yes—
562C2×C4×C47C2512yes—
563C22⋊D47—216no—
564C22⋊D47—216no—
565C22⋊D47—216no—
566C22⋊D47—216no—
567C22⋊D47—48no—
568C22⋊D47—48no—
569C22⋊D47—48no—
570C2×Dic47—24no—
571C2×Dic47—24no—
572C2×Dic47—24no—
573C2×Dic47—24no—
574C2×Dic47—24no—
575C2×Dic47—216no—
576C2×Dic47—48no—
577C2×Dic47—44no—
578C2×Dic47—48no—
579C2×Dic47—44no—
580C2×Dic47C2514yes—
581C2×Dic47C2514yes—
582C2×Dic47C2514yes—
583C2×Dic47C2514yes—
584C2×Dic47C2514yes—
585D188—216no—
586D188—48no—
587D188—48no—
588D188—44no—
589C4×D47—216no—
590C4×D47—48no—
591C4×D47—48no—
592C4×D47—48no—
593C4×D47—48no—
594Dic94—44no—
595Dic94—48no—
596C2×#3490—471nomaximal, Sylow
597C22×C47—232no—
598C22×C47—22no—
599C22×C47—22no—
600C22×C47—22no—
601C22×C47—22no—
602C22×C47—22no—
603C22×C47—22no—
604C22×C47—28no—
605C22×C47—28no—
606C22×C47—28no—
607C22×C47—24no—
608C22×C47—24no—
609C22×C47—24no—
610C22×C47—48no—
611C22×C47C22×#4114yes—
612C22×C47C22×#4112yes—
613C22×C47C2×H(5,𝔽2)14yes—
614C22×C47C2×H(5,𝔽2)12yes—
615C22×C47C2×H(5,𝔽2)14yes—
616C22×C47C2×H(5,𝔽2)12yes—
617C22×C47C2611yescharacteristic
618C2×D47—24no—
619C2×D47—24no—
620C2×D47—216no—
621C2×D47—24no—
622C2×D47—24no—
623C2×D47—24no—
624C2×D47—24no—
625C2×D47—24no—
626C2×D47—24no—
627C2×D47—416no—
628C2×D47—432no—
629C2×D47—432no—
630C2×D47—416no—
631C2×D47—48no—
632C2×D47—48no—
633C2×D47—816no—
634C2×D47C22×#4118yes—
635C4×C47—24no—
636C4×C47—24no—
637C4×C47—22no—
638C4×C47—22no—
639C4×C47—24no—
640C4×C47—22no—
641C4×C47—22no—
642Dic47—24no—
643Dic47—24no—
644Dic47—24no—
645Dic47—24no—
646Dic47—24no—
647#3490—4732no—
648C2×#551—472no—
649C2×#551—472no—
650C2×#551—472no—
651C2×#551—472no—
652C2×#546—472no—
653C2×#546—472no—
654C2×#546—472no—
655C2×#546—472no—
656C2×#543—471no—
657C2×#538—471no—
658C2×#538—471no—
659C2×#538—472no—
660C2×#534—471no—
661C2×#525—471no—
662C2×#525—472no—
663C2×#525D4711yescharacteristic, complemented
664C22×#120—472no—
665C2×#518—472no—
666C23×C22⋊C4—471no—
667C2×C47—24no—
668C2×C47—24no—
669C2×C47—24no—
670C2×C47—44no—
671C2×C47#349014yescomplemented
672C2×C47C23×#4111yescharacteristic
673C2×C47C22×H(5,𝔽2)11yescharacteristic
674C2×C47C22×H(5,𝔽2)11yescharacteristic
675D47—28no—
676D47—44no—
677D47—44no—
678C26—471no—
679C22×#41—472no—
680C22×#41—471no—
681C22×#41C2×D4711yescharacteristic, complemented
682C23×D4—472no—
683C23×D4—472no—
684C23×D4—472no—
685C24×C4—471no—
686C24×C4C2×D4711yescharacteristic, complemented
687#551—4732no—
688#551—4732no—
689#551—4732no—
690#551—4732no—
691#546—4732no—
692#546—4732no—
693#546—4732no—
694#546—4732no—
695#543—4716no—
696#538—4716no—
697#538—4716no—
698#538—4732no—
699#534—4716no—
700C2×#126—472no—
701C2×#126—472no—
702C2×#126—472no—
703C2×#126—472no—
704C2×#124—472no—
705C2×#124—472no—
706C2×#124—472no—
707C2×#124—472no—
708#525—4716no—
709#525—4732no—
710#525C2×D47116yescomplemented
711C2×#123—472no—
712C2×#123—472no—
713C2×#123—472no—
714C2×#123—472no—
715C2×#123—472no—
716C2×#123—472no—
717C2×#123—472no—
718C2×#123—472no—
719C2×#123—472no—
720C2×#123C2×D4712yescomplemented
721C2×C22⋊Q8—472no—
722C2×C22⋊Q8—471no—
723C2×C22⋊Q8—471no—
724C2×C22⋊Q8—472no—
725C2×C22⋊Q8—472no—
726C2×C22⋊Q8—472no—
727C2×C22⋊Q8—472no—
728C2×C22⋊Q8—472no—
729C2×C22⋊Q8C2×D4711yescharacteristic, complemented
730C2×C22⋊Q8C2×D4711yescharacteristic, complemented
731C2×#121—472no—
732C2×#121—472no—
733C2×#121—472no—
734C2×#121—471no—
735C2×#121—471no—
736C2×#121—472no—
737C2×#121—472no—
738C2×#121—472no—
739C2×#121C2×D4711yescharacteristic, complemented
740C2×#121C2×D4711yescharacteristic, complemented
741C2×#120—472no—
742C2×#120—472no—
743C2×#120—472no—
744C2×#120—472no—
745C2×#120—472no—
746C2×#120—4732no—
747C2×#120—472no—
748C2×#120—472no—
749C2×#120—472no—
750C2×#120—472no—
751C2×#120C2×D4712yescomplemented
752#518—4732no—
753C2×C4×D4—472no—
754C2×C4×D4—472no—
755C2×C4×D4—472no—
756C2×C4×D4—472no—
757C2×C4×D4—472no—
758C2×C4×D4—472no—
759C2×C4×D4—472no—
760C2×C4×D4—472no—
761C2×C4×D4—472no—
762C2×C4×D4—472no—
763C2×C4×D4C2×D4712yescomplemented
764C2×C4×D4C2×D4712yescomplemented
765C2×#117—471no—
766C2×#117—472no—
767C2×#117—472no—
768C2×#117—472no—
769C2×#117C2×D4711yescharacteristic, complemented
770C22×C22⋊C4—471no—
771C22×C22⋊C4—471no—
772C22×C22⋊C4—471no—
773C22×C22⋊C4—471no—
774C22×C22⋊C4—472no—
775C22×C22⋊C4—472no—
776C22×C22⋊C4—472no—
777C22×C22⋊C4—472no—
778C22×C22⋊C4—4716no—
779C22×C22⋊C4—472no—
780C22×C22⋊C4—472no—
781C22×C22⋊C4—472no—
782C22×C22⋊C4—472no—
783C22×C22⋊C4—472no—
784C47C2×#349011yescharacteristic, complemented, Sylow
785C25—471no—
786C25—472no—
787C25—472no—
788C25—478no—
789C25—471no—
790C25—472no—
791C25—948no—
792C25—1884no—
793C25—1884no—
794C25C22×D4711yescharacteristic
795C2×#41—44no—
796C2×#41—4716no—
797C2×#41—478no—
798C2×#41—1884no—
799C2×#41—1888no—
800C2×#41C22×D4718yescomplemented
801C22×Q8—471no—
802C22×Q8—472no—
803C22×Q8C22×D4711yescharacteristic, complemented
804C22×D4—472no—
805C22×D4—472no—
806C22×D4—472no—
807C22×D4—472no—
808C22×D4—472no—
809C22×D4—472no—
810C22×D4—472no—
811C22×D4—4716no—
812C22×D4—4716no—
813C22×D4—4716no—
814C22×D4—472no—
815C22×D4—471no—
816C22×D4—472no—
817C22×D4—472no—
818C22×D4—9416no—
819C22×D4—1888no—
820C22×D4—1888no—
821C22×D4C22×D4712yes—
822C22×D4C22×D4712yes—
823C22×D4C22×D4712yes—
824C22×D4C22×D4711yescharacteristic, complemented
825C23×C4—44no—
826C23×C4—472no—
827C23×C4—471no—
828C23×C4—472no—
829C23×C4—471no—
830C23×C4—478no—
831C23×C4—472no—
832C23×C4—472no—
833C23×C4—472no—
834C23×C4—472no—
835C23×C4—472no—
836C23×C4—472no—
837C23×C4—1884no—
838C23×C4C22×D4711yescharacteristic
839C23×C4C22×D4711yescharacteristic
840C23×C4C22×D4711yescharacteristic
841C23×C4C22×D4711yescharacteristic
842C23×C4C22×D4711yescharacteristic
843C23×C4C22×D4711yescharacteristic
844C23×C4C22×D4718yescomplemented
845C23×C4C22×D4712yescomplemented
846#126—4716no—
847#126—4716no—
848#126—4716no—
849#126—4716no—
850#124—4716no—
851#124—4716no—
852#124—4716no—
853#124—4716no—
854#123—4716no—
855#123—4716no—
856#123—4716no—
857#123—4716no—
858#123—4716no—
859#123—4716no—
860#123—4716no—
861#123—4716no—
862#123—4716no—
863#123C22×D47116yescomplemented
864C22⋊Q8—4716no—
865C22⋊Q8—478no—
866C22⋊Q8—478no—
867C22⋊Q8—4716no—
868C22⋊Q8—4716no—
869C22⋊Q8—4716no—
870C22⋊Q8—4716no—
871C22⋊Q8—4716no—
872C22⋊Q8C22×D4718yescomplemented
873C22⋊Q8C22×D4718yescomplemented
874#121—4716no—
875#121—4716no—
876#121—4716no—
877#121—478no—
878#121—478no—
879#121—4716no—
880#121—4716no—
881#121—4716no—
882#121C22×D4718yescomplemented
883#121C22×D4718yescomplemented
884#120—4716no—
885#120—4716no—
886#120—4716no—
887#120—4716no—
888#120—4716no—
889#120—4716no—
890#120—4716no—
891#120—4716no—
892#120—4716no—
893#120C22×D47116yescomplemented
894C4×D4—4716no—
895C4×D4—4716no—
896C4×D4—4716no—
897C4×D4—4716no—
898C4×D4—4716no—
899C4×D4—4716no—
900C4×D4—4716no—
901C4×D4—4716no—
902C4×D4—4716no—
903C4×D4—4716no—
904C4×D4C22×D47116yescomplemented
905C4×D4C22×D47116yescomplemented
906#117—478no—
907#117—4716no—
908#117—4716no—
909#117—4716no—
910#117C22×D4718yescomplemented
911C2×C4⋊C4—472no—
912C2×C4⋊C4—472no—
913C2×C4⋊C4—472no—
914C2×C4⋊C4—472no—
915C2×C4⋊C4—471no—
916C2×C4⋊C4—472no—
917C2×C4⋊C4—471no—
918C2×C4⋊C4—472no—
919C2×C4⋊C4—472no—
920C2×C4⋊C4—472no—
921C2×C4⋊C4C22×D4712yescomplemented
922C2×C4⋊C4C22×D4711yescharacteristic, complemented
923C2×C4⋊C4C22×D4711yescharacteristic, complemented
924C2×C4⋊C4C22×D4712yescomplemented
925C2×C22⋊C4—472no—
926C2×C22⋊C4—472no—
927C2×C22⋊C4—472no—
928C2×C22⋊C4—472no—
929C2×C22⋊C4—472no—
930C2×C22⋊C4—472no—
931C2×C22⋊C4—472no—
932C2×C22⋊C4—478no—
933C2×C22⋊C4—472no—
934C2×C22⋊C4—472no—
935C2×C22⋊C4—472no—
936C2×C22⋊C4—472no—
937C2×C22⋊C4—472no—
938C2×C22⋊C4—472no—
939C2×C22⋊C4—478no—
940C2×C22⋊C4—478no—
941C2×C22⋊C4—478no—
942C2×C22⋊C4—4716no—
943C2×C22⋊C4—4716no—
944C2×C22⋊C4—4716no—
945C2×C22⋊C4—4716no—
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—472no—
955C2×C22⋊C4—472no—
956C2×C22⋊C4—4716no—
957C2×C22⋊C4—4716no—
958C2×C22⋊C4—4716no—
959C2×C22⋊C4—4716no—
960C2×C22⋊C4—4716no—
961C2×C22⋊C4C22×D4712yes—
962C2×C22⋊C4C22×D4712yes—
963C2×C22⋊C4C22×D4712yes—
964C2×C22⋊C4C22×D4712yescomplemented
965C2×C22⋊C4C22×D4712yescomplemented
966C2×C42—472no—
967C2×C42—472no—
968C2×C42—472no—
969C2×C42C22×D4712yescomplemented
970C24—24no—
971C24—24no—
972C24—24no—
973C24—472no—
974C24—478no—
975C24—474no—
976C24—472no—
977C24—472no—
978C24—478no—
979C24—478no—
980C24—474no—
981C24—478no—
982C24—948no—
983C24—948no—
984C24—948no—
985C24—9432no—
986C24—944no—
987C24—948no—
988C24—948no—
989C24—1884no—
990C24—1884no—
991C24—1882no—
992C24—1884no—
993C24—18816no—
994C24—1882no—
995C24—1882no—
996C24—1884no—
997C24—18816no—
998C24—1882no—
999C24—18864no—
1000C24C23×D4714yes—
1001C24C23×D4712yes—
1002C24C23×D4711yescharacteristic
1003C24C23×D4711yescharacteristic
1004C24C23×D4711yescharacteristic
1005#41—416no—
1006#41—18816no—
1007#41—18832no—
1008C2×Q8—42no—
1009C2×Q8—474no—
1010C2×Q8—478no—
1011C2×Q8—1882no—
1012C2×Q8—1884no—
1013C2×Q8C23×D4714yescomplemented
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—42no—
1018C2×D4—478no—
1019C2×D4—478no—
1020C2×D4—478no—
1021C2×D4—478no—
1022C2×D4—478no—
1023C2×D4—478no—
1024C2×D4—478no—
1025C2×D4—478no—
1026C2×D4—478no—
1027C2×D4—478no—
1028C2×D4—474no—
1029C2×D4—948no—
1030C2×D4—9464no—
1031C2×D4—948no—
1032C2×D4—948no—
1033C2×D4—948no—
1034C2×D4—948no—
1035C2×D4—1884no—
1036C2×D4—1884no—
1037C2×D4—1882no—
1038C2×D4—1884no—
1039C2×D4—1884no—
1040C2×D4—1884no—
1041C2×D4—18832no—
1042C2×D4—18832no—
1043C2×D4C23×D4718yes—
1044C2×D4C23×D4718yes—
1045C2×D4C23×D4718yes—
1046C2×D4C23×D4714yescomplemented
1047C22×C4—24no—
1048C22×C4—24no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—416no—
1054C22×C4—44no—
1055C22×C4—478no—
1056C22×C4—472no—
1057C22×C4—472no—
1058C22×C4—472no—
1059C22×C4—472no—
1060C22×C4—472no—
1061C22×C4—474no—
1062C22×C4—478no—
1063C22×C4—474no—
1064C22×C4—478no—
1065C22×C4—478no—
1066C22×C4—478no—
1067C22×C4—478no—
1068C22×C4—478no—
1069C22×C4—478no—
1070C22×C4—948no—
1071C22×C4—948no—
1072C22×C4—1884no—
1073C22×C4—1884no—
1074C22×C4—1884no—
1075C22×C4—1884no—
1076C22×C4—1882no—
1077C22×C4—1884no—
1078C22×C4—1882no—
1079C22×C4—18816no—
1080C22×C4—1884no—
1081C22×C4C23×D4714yes—
1082C22×C4C23×D4714yes—
1083C22×C4C23×D4711yescharacteristic
1084C22×C4C23×D4712yes—
1085C22×C4C23×D4712yes—
1086C22×C4C23×D4711yescharacteristic
1087C22×C4C23×D4712yes—
1088C22×C4C23×D4711yescharacteristic
1089C22×C4C23×D4711yescharacteristic
1090C22×C4C23×D4714yes—
1091C22×C4C23×D4714yes—
1092C22×C4C23×D4714yes—
1093C22×C4C23×D4714yes—
1094C22×C4C23×D4718yescomplemented
1095C4⋊C4—478no—
1096C4⋊C4—478no—
1097C4⋊C4—478no—
1098C4⋊C4—478no—
1099C4⋊C4—478no—
1100C4⋊C4—478no—
1101C4⋊C4—478no—
1102C4⋊C4—474no—
1103C4⋊C4—474no—
1104C4⋊C4—478no—
1105C4⋊C4C23×D4718yescomplemented
1106C4⋊C4C23×D4714yescomplemented
1107C4⋊C4C23×D4714yescomplemented
1108C4⋊C4C23×D4718yescomplemented
1109C22⋊C4—478no—
1110C22⋊C4—478no—
1111C22⋊C4—478no—
1112C22⋊C4—478no—
1113C22⋊C4—478no—
1114C22⋊C4—478no—
1115C22⋊C4—478no—
1116C22⋊C4—478no—
1117C22⋊C4—478no—
1118C22⋊C4—478no—
1119C22⋊C4—478no—
1120C22⋊C4—478no—
1121C22⋊C4—478no—
1122C22⋊C4—478no—
1123C22⋊C4—478no—
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⋊C4C23×D4718yes—
1133C22⋊C4C23×D4718yes—
1134C22⋊C4C23×D4718yes—
1135C22⋊C4C23×D4718yescomplemented
1136C22⋊C4C23×D4718yescomplemented
1137C42—478no—
1138C42—478no—
1139C42—478no—
1140C42C23×D4718yescomplemented
1141C23—232no—
1142C23—28no—
1143C23—22no—
1144C23—22no—
1145C23—28no—
1146C23—22no—
1147C23—22no—
1148C23—28no—
1149C23—22no—
1150C23—22no—
1151C23—24no—
1152C23—24no—
1153C23—24no—
1154C23—478no—
1155C23—474no—
1156C23—4716no—
1157C23—474no—
1158C23—474no—
1159C23—9416no—
1160C23—9416no—
1161C23—9416no—
1162C23—944no—
1163C23—944no—
1164C23—944no—
1165C23—948no—
1166C23—944no—
1167C23—944no—
1168C23—9416no—
1169C23—944no—
1170C23—944no—
1171C23—9416no—
1172C23—944no—
1173C23—37616no—
1174C23—1888no—
1175C23—1888no—
1176C23—18816no—
1177C23—1884no—
1178C23—1888no—
1179C23—1884no—
1180C23—1884no—
1181C23—1888no—
1182C23—1884no—
1183C23—18832no—
1184C23—18832no—
1185C23—188128no—
1186C23—18816no—
1187C23#41×D4714yes—
1188C23#1309406914yes—
1189C23#1309407014yes—
1190C23C24×D4714yes—
1191C23C24×D4712yes—
1192C23C24×D4712yes—
1193C23C24×D4712yes—
1194C23C24×D4711yescharacteristic
1195Q8—44no—
1196Q8—1884no—
1197Q8—1888no—
1198D4—216no—
1199D4—216no—
1200D4—216no—
1201D4—44no—
1202D4—9416no—
1203D4—9416no—
1204D4—9416no—
1205D4—9416no—
1206D4—9416no—
1207D4—1888no—
1208D4—1888no—
1209D4—1884no—
1210D4—1888no—
1211D4—1888no—
1212D4—1888no—
1213C2×C4—24no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—28no—
1219C2×C4—28no—
1220C2×C4—24no—
1221C2×C4—24no—
1222C2×C4—44no—
1223C2×C4—44no—
1224C2×C4—44no—
1225C2×C4—44no—
1226C2×C4—48no—
1227C2×C4—474no—
1228C2×C4—474no—
1229C2×C4—474no—
1230C2×C4—474no—
1231C2×C4—474no—
1232C2×C4—9416no—
1233C2×C4—944no—
1234C2×C4—944no—
1235C2×C4—944no—
1236C2×C4—944no—
1237C2×C4—9416no—
1238C2×C4—944no—
1239C2×C4—1888no—
1240C2×C4—1888no—
1241C2×C4—1888no—
1242C2×C4—1888no—
1243C2×C4—1884no—
1244C2×C4—1888no—
1245C2×C4—1884no—
1246C2×C4—1888no—
1247C2×C4C24×D4712yes—
1248C2×C4C24×D4714yes—
1249C2×C4C24×D4714yes—
1250C2×C4C24×D4712yes—
1251C2×C4C24×D4714yes—
1252C2×C4C24×D4712yes—
1253C2×C4C24×D4712yes—
1254C22—232no—
1255C22—28no—
1256C22—28no—
1257C22—28no—
1258C22—22no—
1259C22—22no—
1260C22—22no—
1261C22—22no—
1262C22—22no—
1263C22—22no—
1264C22—24no—
1265C22—24no—
1266C22—24no—
1267C22—48no—
1268C22—478no—
1269C22—9416no—
1270C22—944no—
1271C22—944no—
1272C22—944no—
1273C22—944no—
1274C22—944no—
1275C22—944no—
1276C22—944no—
1277C22—944no—
1278C22—37616no—
1279C22—18816no—
1280C22—18832no—
1281C22—18832no—
1282C22—18816no—
1283C22—1888no—
1284C22—1888no—
1285C22C2×#41×D4714yes—
1286C22C2×#41×D4712yes—
1287C22C2×#1309406914yes—
1288C22C2×#1309406912yes—
1289C22C2×#1309407014yes—
1290C22C2×#1309407012yes—
1291C22C25×D4711yescharacteristic
1292C4—24no—
1293C4—22no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—24no—
1298C4—24no—
1299C4—944no—
1300C4—944no—
1301C4—944no—
1302C4—944no—
1303C4—944no—
1304C2—24no—
1305C2—24no—
1306C2—24no—
1307C2—44no—
1308C2—948no—
1309C2—1884no—
1310C2—1884no—
1311C2#2025707114yesdirect product factor
1312C2C22×#41×D4711yescharacteristic
1313C2C22×#1309406911yescharacteristic
1314C2C22×#1309407011yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#525C2
socleC23×C47C25
hypercenterC2×#525D47
hypocenterC47C2×#3490
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #20257071C2direct (N × H)
2. C2×#15689802C2semidirect
3. C2×#15689800C2semidirect
4. C2×#15689797C2semidirect
5. C2×#15689796C2semidirect
6. C2×#15689768C2semidirect
7. C2×#15689765C2semidirect
8. C2×#15689762C2semidirect
9. C2×#15689761C2semidirect
10. C2×#15689748C2semidirect
11. C2×#15689713C2semidirect
12. C2×#15689710C2semidirect
13. C2×#15689706C2semidirect
14. C2×#15689681C2semidirect
15. C2×#15689634C2semidirect
16. C2×#15689629C2semidirect
17. C2×#120×D47C2semidirect
18. C2×#15689595C2semidirect
19. C23×(C2×D47)⋊C4C2semidirect
20. C2×C47×#525C2semidirect
22. C22×#10625350C22semidirect
23. C22×#10625352C22semidirect
25. C22×D4×D47C22semidirect
26. C22×D4×D47C22semidirect
27. C24×Dic47C22semidirect
28. #15689802C22semidirect
29. #15689800C22semidirect
30. #15689797C22semidirect
31. #15689796C22semidirect
32. #15689768C22semidirect
33. #15689765C22semidirect
34. #15689762C22semidirect
35. #15689761C22semidirect
36. #15689748C22semidirect
37. #15689713C22semidirect
38. #15689710C22semidirect
39. #15689706C22semidirect
40. #15689681C22semidirect
41. C2×#13094019C22semidirect
42. C2×#13094019C22semidirect
43. C2×#13094019C22semidirect
44. C2×#13094018C22semidirect
45. C2×#13094013C22semidirect
46. C2×#13094012C22semidirect
47. C2×#13094010C22semidirect
48. C2×#13094010C22semidirect
49. #15689634C22semidirect
50. #15689629C22semidirect
51. C2×#13094009C22semidirect
52. C2×#13094009C22semidirect
53. C2×#13094009C22semidirect
54. C2×#13094008C22semidirect
55. C2×#13094008C22semidirect
56. C2×#13094007C22semidirect
57. C2×#13094007C22semidirect
58. C2×#13094006C22semidirect
59. C2×#13094005C22semidirect
60. C2×#13094004C22semidirect
61. C2×#13094003C22semidirect
62. C2×#13094003C22semidirect
63. C2×#13094002C22semidirect
64. C2×#13094002C22semidirect
65. C2×#13094001C22semidirect
66. C2×#13094001C22semidirect
67. C2×#13094000C22semidirect
68. C2×#13093999C22semidirect
69. C2×#13093998C22semidirect
70. C2×#13093998C22semidirect
71. C2×#13093998C22semidirect
72. C2×#13093997C22semidirect
73. C2×#13093996C22semidirect
74. C2×#13093996C22semidirect
75. C2×#13093996C22semidirect
78. C2×#13093994C22semidirect
79. C2×#13093994C22semidirect
80. C2×#13093993C22semidirect
83. C2×#13093992C22semidirect
84. C2×#13093992C22semidirect
85. #120×D47C22semidirect
86. #15689595C22semidirect
87. C2×C4×D188C22semidirect
88. C2×D4×Dic47C22semidirect
89. C2×D4×Dic47C22semidirect
90. C2×#13093986C22semidirect
91. C2×C4×C22⋊D47C22semidirect
92. C2×C4×C22⋊D47C22semidirect
93. C2×C4×C22⋊D47C22semidirect
94. C2×(C22⋊D47)⋊C4C22semidirect
95. C2×(C22⋊D47)⋊C4C22semidirect
96. C2×(C22⋊D47)⋊C4C22semidirect
97. C2×#13093983C22semidirect
98. C2×#13093982C22semidirect
99. C2×#13093981C22semidirect
100. C2×#13093980C22semidirect
103. C22×(C2×D47)⋊C4C22semidirect
104. C22×(C2×D47)⋊C4C22semidirect
105. C22×(C2×D47)⋊C4C22semidirect
106. C22×(C2×D47)⋊C4C22semidirect
107. C22×(C2×D47)⋊C4C22semidirect
108. C22×(C2×D47)⋊C4C22semidirect
109. C22×(C2×D47)⋊C4C22semidirect
110. C22×(C2×D47)⋊C4C22semidirect
112. C2×C22⋊C4×D47C22semidirect
113. C2×C22⋊C4×D47C22semidirect
114. C2×C22⋊C4×D47C22semidirect
115. C22×#41×C47C22semidirect
116. C24×C4×C47C22semidirect
117. C47×#525C22semidirect
118. C2×#123×C47C22semidirect
119. C2×C22⋊Q8×C47C22semidirect
120. C2×C22⋊Q8×C47C22semidirect
121. C2×#121×C47C22semidirect
122. C2×#121×C47C22semidirect
123. C2×#120×C47C22semidirect
124. C2×C4×D4×C47C22semidirect
125. C2×C4×D4×C47C22semidirect
126. C2×#117×C47C22semidirect
137. C2×#10625350C23semidirect
139. C2×#10625352C23semidirect
140. C22×Dic94C23semidirect
141. C22×Dic94C23semidirect
145. C22×D188C23semidirect
152. C22×C22⋊D47C23semidirect
157. C2×D4×D47C23semidirect
158. C2×D4×D47C23semidirect
164. C23×Dic47C23semidirect
165. C23×Dic47C23semidirect
169. C22×C4×D47C23semidirect
170. C22×C4×D47C23semidirect
171. #13094019C23semidirect
172. #13094019C23semidirect
173. #13094019C23semidirect
174. #13094018C23semidirect
175. #13094013C23semidirect
176. #13094012C23semidirect
177. #13094010C23semidirect
178. #13094010C23semidirect
179. #13094009C23semidirect
180. #13094009C23semidirect
181. #13094009C23semidirect
182. #13094008C23semidirect
183. #13094008C23semidirect
184. #13094007C23semidirect
185. #13094007C23semidirect
186. #13094006C23semidirect
187. #13094005C23semidirect
188. #13094004C23semidirect
189. #13094003C23semidirect
190. #13094003C23semidirect
191. #13094002C23semidirect
192. #13094002C23semidirect
193. #13094001C23semidirect
194. #13094001C23semidirect
195. #13094000C23semidirect
196. #13093999C23semidirect
197. #13093998C23semidirect
198. #13093998C23semidirect
199. #13093998C23semidirect
200. #13093997C23semidirect
201. #13093996C23semidirect
202. #13093996C23semidirect
203. #13093996C23semidirect
206. #13093994C23semidirect
207. #13093994C23semidirect
208. #13093993C23semidirect
211. #13093992C23semidirect
212. #13093992C23semidirect
213. C4×D188C23semidirect
214. D4×Dic47C23semidirect
215. D4×Dic47C23semidirect
216. #13093986C23semidirect
217. C4×C22⋊D47C23semidirect
218. C4×C22⋊D47C23semidirect
219. C4×C22⋊D47C23semidirect
220. (C22⋊D47)⋊C4C23semidirect
221. (C22⋊D47)⋊C4C23semidirect
222. (C22⋊D47)⋊C4C23semidirect
223. #13093983C23semidirect
224. #13093982C23semidirect
225. #13093981C23semidirect
226. #13093980C23semidirect
227. C2×C4⋊Dic47C23semidirect
228. C2×C4⋊Dic47C23semidirect
229. C2×C4⋊Dic47C23semidirect
230. C2×C4⋊Dic47C23semidirect
231. C2×Dic47⋊C4C23semidirect
232. C2×Dic47⋊C4C23semidirect
233. C2×Dic47⋊C4C23semidirect
234. C2×Dic47⋊C4C23semidirect
235. C2×Dic47⋊C4C23semidirect
236. C2×Dic47⋊C4C23semidirect
240. C2×C22⋊Dic47C23semidirect
241. C2×C22⋊Dic47C23semidirect
258. C2×(C2×D47)⋊C4C23semidirect
259. C2×(C2×D47)⋊C4C23semidirect
260. C2×(C2×D47)⋊C4C23semidirect
261. C2×(C2×D47)⋊C4C23semidirect
262. C2×(C2×D47)⋊C4C23semidirect
263. C2×(C2×D47)⋊C4C23semidirect
264. C2×(C2×D47)⋊C4C23semidirect
265. C2×(C2×D47)⋊C4C23semidirect
266. C2×(C2×D47)⋊C4C23semidirect
267. C2×(C2×D47)⋊C4C23semidirect
268. C2×(C2×D47)⋊C4C23semidirect
270. C22⋊C4×D47C23semidirect
271. C22⋊C4×D47C23semidirect
272. C22⋊C4×D47C23semidirect
273. C2×C4×Dic47C23semidirect
274. C2×C4×Dic47C23semidirect
275. C2×C4×Dic47C23semidirect
278. C2×#41×C47C23semidirect
279. C22×Q8×C47C23semidirect
283. C22×D4×C47C23semidirect
291. C23×C4×C47C23semidirect
292. C23×C4×C47C23semidirect
293. #123×C47C23semidirect
294. C22⋊Q8×C47C23semidirect
295. C22⋊Q8×C47C23semidirect
296. #121×C47C23semidirect
297. #121×C47C23semidirect
298. #120×C47C23semidirect
299. C4×D4×C47C23semidirect
300. C4×D4×C47C23semidirect
301. #117×C47C23semidirect
302. C2×C4⋊C4×C47C23semidirect
303. C2×C4⋊C4×C47C23semidirect
304. C2×C4⋊C4×C47C23semidirect
305. C2×C4⋊C4×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C22⋊C4×C47C23semidirect
311. C2×C42×C47C23semidirect
338. C23×D47#41semidirect
349. C2×Q8×C47C24semidirect
357. C2×D4×C47C24semidirect
379. C22×C4×C47C24semidirect
393. C2×C22⋊D47C24semidirect
409. C22×Dic47C24semidirect
422. C2×D188C24semidirect
431. C2×C4×D47C24semidirect
432. C2×C4×D47C24semidirect
435. C2×Dic94C24semidirect
436. C2×Dic94C24semidirect
437. C4⋊C4×C47C24semidirect
438. C4⋊C4×C47C24semidirect
439. C4⋊C4×C47C24semidirect
440. C4⋊C4×C47C24semidirect
444. C22⋊C4×C47C24semidirect
445. C22⋊C4×C47C24semidirect
446. C42×C47C24semidirect
450. C22⋊Dic47C24semidirect
451. C22⋊Dic47C24semidirect
466. (C2×D47)⋊C4C24semidirect
467. (C2×D47)⋊C4C24semidirect
468. (C2×D47)⋊C4C24semidirect
469. (C2×D47)⋊C4C24semidirect
470. C4⋊Dic47C24semidirect
471. C4⋊Dic47C24semidirect
472. C4⋊Dic47C24semidirect
473. C4⋊Dic47C24semidirect
474. Dic47⋊C4C24semidirect
475. Dic47⋊C4C24semidirect
476. Dic47⋊C4C24semidirect
477. Dic47⋊C4C24semidirect
478. Dic47⋊C4C24semidirect
479. Dic47⋊C4C24semidirect
480. C4×Dic47C24semidirect
481. C4×Dic47C24semidirect
482. C4×Dic47C24semidirect
533. C22×D47C2×#41semidirect
663. C2×#525D47semidirect
671. C2×C47#3490semidirect
681. C22×#41C2×D47semidirect
686. C24×C4C2×D47semidirect
710. #525C2×D47semidirect
720. C2×#123C2×D47semidirect
729. C2×C22⋊Q8C2×D47semidirect
730. C2×C22⋊Q8C2×D47semidirect
739. C2×#121C2×D47semidirect
740. C2×#121C2×D47semidirect
751. C2×#120C2×D47semidirect
763. C2×C4×D4C2×D47semidirect
764. C2×C4×D4C2×D47semidirect
769. C2×#117C2×D47semidirect
784. C47C2×#3490semidirect
800. C2×#41C22×D47semidirect
803. C22×Q8C22×D47semidirect
824. C22×D4C22×D47semidirect
844. C23×C4C22×D47semidirect
845. C23×C4C22×D47semidirect
863. #123C22×D47semidirect
872. C22⋊Q8C22×D47semidirect
873. C22⋊Q8C22×D47semidirect
882. #121C22×D47semidirect
883. #121C22×D47semidirect
893. #120C22×D47semidirect
904. C4×D4C22×D47semidirect
905. C4×D4C22×D47semidirect
910. #117C22×D47semidirect
921. C2×C4⋊C4C22×D47semidirect
922. C2×C4⋊C4C22×D47semidirect
923. C2×C4⋊C4C22×D47semidirect
924. C2×C4⋊C4C22×D47semidirect
964. C2×C22⋊C4C22×D47semidirect
965. C2×C22⋊C4C22×D47semidirect
969. C2×C42C22×D47semidirect
1013. C2×Q8C23×D47semidirect
1046. C2×D4C23×D47semidirect
1094. C22×C4C23×D47semidirect
1105. C4⋊C4C23×D47semidirect
1106. C4⋊C4C23×D47semidirect
1107. C4⋊C4C23×D47semidirect
1108. C4⋊C4C23×D47semidirect
1135. C22⋊C4C23×D47semidirect
1136. C22⋊C4C23×D47semidirect
1140. C42C23×D47semidirect
1311. C2#20257071direct (N × H)

Maximal subgroups

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

subgroupindex
#202570712
C2×#156898022
C2×#156898002
C2×#156897972
C2×#156897962
C2×#156897682
C2×#156897652
C2×#156897622
C2×#156897612
C2×#156897482
C2×#156897132
C2×#156897102
C2×#156897062
C2×#156896812
C2×#156896342
C2×#156896292
C2×#120×D472
C2×#156895952
C23×(C2×D47)⋊C42
C2×C47×#5252
C2×#349047