Finite Group Databasebeta

← C2×#20257541 #27123396

Subgroups — C2×#20257541 #27123396

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#20257541C2132yesmaximal, direct product factor
2C2×#15689866C211yesmaximal, characteristic, complemented
3C2×#15689862C212yesmaximal, complemented
4C2×#15689801C211yesmaximal, characteristic, complemented
5C2×#15689798C212yesmaximal, complemented
6C2×#15689770C212yesmaximal, complemented
7C2×#15689765C212yesmaximal, complemented
8C2×#15689762C212yesmaximal, complemented
9C2×#15689758C211yesmaximal, characteristic, complemented
10C2×#15689757C212yesmaximal, complemented
11C2×#15689712C212yesmaximal, complemented
12C2×#15689709C212yesmaximal, complemented
13C2×#15689705C212yesmaximal, complemented
14C2×#15689689C212yesmaximal, complemented
15C2×#15689686C211yesmaximal, characteristic, complemented
16C2×#15689684C211yesmaximal, characteristic, complemented
17C2×#15689681C212yesmaximal, complemented
18C2×#120×D47C211yesmaximal, characteristic, complemented
19C2×#120×D47C212yesmaximal, complemented
20C2×C47×#560C211yesmaximal, characteristic, complemented
21C25×D47C2211yescharacteristic, complemented
22C22×#10625350C2212yescomplemented
23C22×#10625352C2211yescharacteristic, complemented
24C23×D188C2211yescharacteristic, complemented
25C22×D4×D47C2212yescomplemented
26C22×D4×D47C2212yescomplemented
27C22×D4×D47C2212yescomplemented
28C22×D4×D47C2212yescomplemented
29C22×D4×D47C2211yescharacteristic, complemented
30C22×D4×D47C2212yescomplemented
31#15689866C22116yescomplemented
32#15689862C22132yescomplemented
33#15689801C22116yescomplemented
34#15689798C22132yescomplemented
35#15689770C22132yescomplemented
36#15689765C22132yescomplemented
37#15689762C22132yescomplemented
38#15689758C22116yescomplemented
39#15689757C22132yescomplemented
40#15689712C22132yescomplemented
41#15689709C22132yescomplemented
42#15689705C22132yescomplemented
43#15689689C22132yescomplemented
44#15689686C22116yescomplemented
45#15689684C22116yescomplemented
46#15689681C22132yescomplemented
47C2×#13094020C2212yescomplemented
48C2×#13094020C2211yescharacteristic, complemented
49C2×#13094019C2212yescomplemented
50C2×#13094017C2212yescomplemented
51C2×#13094017C2212yescomplemented
52C2×#13094012C2211yescharacteristic, complemented
53C2×#13094011C2212yescomplemented
54C2×#13094011C2211yescharacteristic, complemented
55C2×#13094010C2212yescomplemented
56C2×#13094010C2212yescomplemented
57C2×#13094010C2212yescomplemented
58C2×#13094010C2212yescomplemented
59C2×#13094009C2212yescomplemented
60C2×#13094009C2212yescomplemented
61C2×#13094009C2212yescomplemented
62C2×#13094007C2211yescharacteristic, complemented
63C2×#13094006C2212yescomplemented
64C2×#13094006C2212yescomplemented
65C2×#13094006C2212yescomplemented
66C2×#13094005C2212yescomplemented
67C2×#13094004C2212yescomplemented
68C2×#13094002C2212yescomplemented
69C2×#13094002C2212yescomplemented
70C2×#13093999C2212yescomplemented
71C2×#13093999C2212yescomplemented
72C2×#13093998C2212yescomplemented
73C2×#13093997C2212yescomplemented
74C2×#13093997C2212yescomplemented
75C2×#13093997C2212yescomplemented
76C2×#13093996C2212yescomplemented
77C2×#13093996C2212yescomplemented
78C2×#13093996C2212yescomplemented
79C2×#13093995C2212yescomplemented
80C2×#13093995C2212yescomplemented
81C2×#13093995C2212yescomplemented
82C2×#13093994C2212yes—
83C2×#13093994C2211yescharacteristic, complemented
84C2×#13093994C2212yescomplemented
85C2×#13093994C2212yescomplemented
86C2×#13093994C2212yescomplemented
87C2×#13093994C2212yescomplemented
88C2×#13093994C2211yescharacteristic, complemented
89C2×#13093993C2211yescharacteristic, complemented
90C2×#13093993C2212yescomplemented
91C2×#13093992C2211yescharacteristic
92C2×#13093992C2212yescomplemented
93C2×#13093992C2212yescomplemented
94C2×#13093992C2212yescomplemented
95C2×#13093992C2212yescomplemented
96C2×#13093992C2212yescomplemented
97C2×#13093992C2211yescharacteristic, complemented
98C2×#13093992C2212yescomplemented
99C2×#13093992C2212yescomplemented
100#120×D47C22116yescomplemented
101#120×D47C22132yescomplemented
102C2×C4×D188C2212yescomplemented
103C2×#13093986C2212yescomplemented
104C2×#13093986C2212yescomplemented
105C2×C4×C22⋊D47C2212yescomplemented
106C2×C4×C22⋊D47C2212yescomplemented
107C2×(C22⋊D47)⋊C4C2212yescomplemented
108C2×#13093982C2212yescomplemented
109C2×#13093981C2211yescharacteristic, complemented
110C22×(C2×D47)⋊C4C2212yescomplemented
111C2×C22⋊C4×D47C2212yescomplemented
112C2×C22⋊C4×D47C2212yescomplemented
113C2×C22⋊C4×D47C2212yescomplemented
114C2×C22⋊C4×D47C2212yescomplemented
115C2×C22⋊C4×D47C2211yescharacteristic, complemented
116C2×C22⋊C4×D47C2211yescharacteristic, complemented
117C47×#560C22116yescomplemented
118C2×#127×C47C2211yescharacteristic, complemented
119C2×#126×C47C2212yescomplemented
120C2×#123×C47C2212yescomplemented
121C2×#123×C47C2211yescharacteristic, complemented
122C2×#121×C47C2212yescomplemented
123C2×#121×C47C2212yescomplemented
124C2×#121×C47C2212yescomplemented
125C2×#120×C47C2212yescomplemented
126C2×#120×C47C2211yescharacteristic, complemented
127C24×D47—48no—
128C24×D47—44no—
129C24×D47C2311yescharacteristic
130C24×D47C2312yes—
131C24×D47C2312yes—
132C24×D47C2311yescharacteristic
133C24×D47C2311yescharacteristic
134C24×D47C2312yes—
135C24×D47C2318yescomplemented
136C24×D47C2311yescharacteristic, complemented
137C2×#10625350—48no—
138C2×#10625350C23116yescomplemented
139C2×#10625352—44no—
140C2×#10625352C2318yescomplemented
141C22×Dic94C2311yescharacteristic, complemented
142C22×Dic94C2312yescomplemented
143C22×D188—44no—
144C22×D188C2312yes—
145C22×D188C2312yes—
146C22×D188C2312yes—
147C22×D188C2312yes—
148C22×D188C2311yescharacteristic
149C22×D188C2318yescomplemented
150C22×D188C2312yescomplemented
151C22×C22⋊D47C2312yes—
152C22×C22⋊D47C2312yes—
153C22×C22⋊D47C2312yes—
154C22×C22⋊D47C2311yescharacteristic
155C22×C22⋊D47C2312yes—
156C22×C22⋊D47C2312yes—
157C22×C22⋊D47C2312yes—
158C22×C22⋊D47C2312yes—
159C22×C22⋊D47C2312yes—
160C22×C22⋊D47C2311yescharacteristic
161C22×C22⋊D47C2312yescomplemented
162C22×C22⋊D47C2312yescomplemented
163C2×D4×D47—44no—
164C2×D4×D47—48no—
165C2×D4×D47—48no—
166C2×D4×D47—48no—
167C2×D4×D47—48no—
168C2×D4×D47—48no—
169C2×D4×D47C23116yescomplemented
170C2×D4×D47C23116yescomplemented
171C2×D4×D47C23116yescomplemented
172C2×D4×D47C23116yescomplemented
173C2×D4×D47C2318yescomplemented
174C2×D4×D47C23116yescomplemented
175C23×Dic47C2312yescomplemented
176C22×C4×D47C2311yescharacteristic
177C22×C4×D47C2312yes—
178C22×C4×D47C2312yes—
179C22×C4×D47C2312yes—
180C22×C4×D47C2312yes—
181C22×C4×D47C2312yescomplemented
182C22×C4×D47C2312yescomplemented
183#13094020C2318yescomplemented
184#13094020C23116yescomplemented
185#13094019C23116yescomplemented
186#13094017C23116yescomplemented
187#13094017C23116yescomplemented
188#13094012C2318yescomplemented
189#13094011C23116yescomplemented
190#13094011C2318yescomplemented
191#13094010C23116yescomplemented
192#13094010C23116yescomplemented
193#13094010C23116yescomplemented
194#13094010C23116yescomplemented
195#13094009C23116yescomplemented
196#13094009C23116yescomplemented
197#13094009C23116yescomplemented
198#13094007C2318yescomplemented
199#13094006C23116yescomplemented
200#13094006C23116yescomplemented
201#13094006C23116yescomplemented
202#13094005C23116yescomplemented
203#13094004C23116yescomplemented
204#13094002C23116yescomplemented
205#13094002C23116yescomplemented
206#13093999C23116yescomplemented
207#13093999C23116yescomplemented
208#13093998C23116yescomplemented
209#13093997C23116yescomplemented
210#13093997C23116yescomplemented
211#13093997C23116yescomplemented
212#13093996C23116yescomplemented
213#13093996C23116yescomplemented
214#13093996C23116yescomplemented
215#13093995C23116yescomplemented
216#13093995C23116yescomplemented
217#13093995C23116yescomplemented
218#13093994C23116yes—
219#13093994C2318yescomplemented
220#13093994C23116yescomplemented
221#13093994C23116yescomplemented
222#13093994C23116yescomplemented
223#13093994C23116yescomplemented
224#13093994C2318yescomplemented
225#13093993C2318yescomplemented
226#13093993C23116yescomplemented
227#13093992C2318yes—
228#13093992C23116yescomplemented
229#13093992C23116yescomplemented
230#13093992C23116yescomplemented
231#13093992C23116yescomplemented
232#13093992C23116yescomplemented
233#13093992C23116yescomplemented
234#13093992C23116yescomplemented
235#13093992C2318yescomplemented
236C4×D188C23116yescomplemented
237#13093986C23116yescomplemented
238#13093986C23116yescomplemented
239C4×C22⋊D47C23116yescomplemented
240C4×C22⋊D47C23116yescomplemented
241(C22⋊D47)⋊C4C23116yescomplemented
242#13093982C23116yescomplemented
243#13093981C2318yescomplemented
244C2×C4⋊Dic47C2312yescomplemented
245C2×C4⋊Dic47C2312yescomplemented
246C2×Dic47⋊C4C2312yescomplemented
247C2×Dic47⋊C4C2312yescomplemented
248C2×Dic47⋊C4C2312yescomplemented
249C2×Dic47⋊C4C2312yescomplemented
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2312yes—
252C2×C22⋊Dic47C2312yes—
253C2×C22⋊Dic47C2312yes—
254C2×C22⋊Dic47C2312yes—
255C2×C22⋊Dic47C2311yescharacteristic, complemented
256C2×C22⋊Dic47C2312yescomplemented
257C2×C22⋊Dic47C2312yescomplemented
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)⋊C4C2312yescomplemented
269C2×(C2×D47)⋊C4C2312yescomplemented
270C2×(C2×D47)⋊C4C2312yescomplemented
271C2×(C2×D47)⋊C4C2312yescomplemented
272C2×(C2×D47)⋊C4C2312yescomplemented
273C22⋊C4×D47C23116yescomplemented
274C22⋊C4×D47C23116yescomplemented
275C22⋊C4×D47C23116yescomplemented
276C22⋊C4×D47C23116yescomplemented
277C22⋊C4×D47C2318yescomplemented
278C22⋊C4×D47C2318yescomplemented
279C2×C4×Dic47C2311yescharacteristic, complemented
280C2×C4×Dic47C2312yescomplemented
281C2×C4×Dic47C2312yescomplemented
282C25×C47C2311yescharacteristic
283C22×D4×C47C2312yes—
284C22×D4×C47C2312yes—
285C22×D4×C47C2312yes—
286C22×D4×C47C2311yescharacteristic
287C22×D4×C47C2312yes—
288C22×D4×C47C2311yescharacteristic, complemented
289C22×D4×C47C2312yescomplemented
290C23×C4×C47C2312yescomplemented
291C23×C4×C47C2311yescharacteristic, complemented
292#127×C47C2318yescomplemented
293#126×C47C23116yescomplemented
294#123×C47C23116yescomplemented
295#123×C47C2318yescomplemented
296#121×C47C23116yescomplemented
297#121×C47C23116yescomplemented
298#121×C47C23116yescomplemented
299#120×C47C23116yescomplemented
300#120×C47C2318yescomplemented
301C2×C4⋊C4×C47C2312yescomplemented
302C2×C4⋊C4×C47C2312yescomplemented
303C2×C4⋊C4×C47C2312yescomplemented
304C2×C22⋊C4×C47C2312yes—
305C2×C22⋊C4×C47C2312yes—
306C2×C22⋊C4×C47C2312yes—
307C2×C22⋊C4×C47C2312yes—
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic, complemented
310C2×C22⋊C4×C47C2312yescomplemented
311C2×C42×C47C2311yescharacteristic, complemented
312C24×C47—44no—
313C24×C47—42no—
314C24×C47C2412yes—
315C24×C47C2411yescharacteristic
316C24×C47C2411yescharacteristic
317C24×C47C2412yes—
318C24×C47C2414yes—
319C23×D47—28no—
320C23×D47—28no—
321C23×D47—28no—
322C23×D47—24no—
323C23×D47—28no—
324C23×D47—28no—
325C23×D47—24no—
326C23×D47—432no—
327C23×D47—416no—
328C23×D47—42no—
329C23×D47—44no—
330C23×D47—44no—
331C23×D47—44no—
332C23×D47—44no—
333C23×D47—44no—
334C23×D47—44no—
335C23×D47—44no—
336C23×D47—44no—
337C23×D47—42no—
338C23×D47—464no—
339C23×D47C2411yescharacteristic
340C23×D47C2412yes—
341C23×D47C2411yescharacteristic
342C23×D47C2414yes—
343C23×D47C2418yes—
344C23×D47C2411yescharacteristic
345C23×D47C2412yes—
346C23×D47C2418yes—
347C23×D47C2414yes—
348C23×D47C2414yes—
349C23×D47C2418yes—
350C23×D47C2414yescomplemented
351C2×D4×C47—42no—
352C2×D4×C47—44no—
353C2×D4×C47—44no—
354C2×D4×C47—44no—
355C2×D4×C47—44no—
356C2×D4×C47—44no—
357C2×D4×C47—42no—
358C2×D4×C47C2418yes—
359C2×D4×C47C2418yes—
360C2×D4×C47C2418yes—
361C2×D4×C47C2414yes—
362C2×D4×C47C2418yes—
363C2×D4×C47C2414yescomplemented
364C2×D4×C47C2418yescomplemented
365C22×C4×C47—42no—
366C22×C4×C47—44no—
367C22×C4×C47C2411yescharacteristic
368C22×C4×C47C2412yes—
369C22×C4×C47C2412yes—
370C22×C4×C47C2412yes—
371C22×C4×C47C2412yes—
372C22×C4×C47C2418yescomplemented
373C22×C4×C47C2414yescomplemented
374C2×C22⋊D47—28no—
375C2×C22⋊D47—28no—
376C2×C22⋊D47—28no—
377C2×C22⋊D47—44no—
378C2×C22⋊D47—44no—
379C2×C22⋊D47—44no—
380C2×C22⋊D47—44no—
381C2×C22⋊D47—42no—
382C2×C22⋊D47—42no—
383C2×C22⋊D47—44no—
384C2×C22⋊D47—44no—
385C2×C22⋊D47—44no—
386C2×C22⋊D47C2418yes—
387C2×C22⋊D47C2418yes—
388C2×C22⋊D47C2418yes—
389C2×C22⋊D47C2414yes—
390C2×C22⋊D47C2418yes—
391C2×C22⋊D47C2418yes—
392C2×C22⋊D47C2418yes—
393C2×C22⋊D47C2418yes—
394C2×C22⋊D47C2418yes—
395C2×C22⋊D47C2414yes—
396C2×C22⋊D47C2418yescomplemented
397C2×C22⋊D47C2418yescomplemented
398C22×Dic47—44no—
399C22×Dic47C2412yes—
400C22×Dic47C2412yes—
401C22×Dic47C2412yes—
402C22×Dic47C2412yes—
403C22×Dic47C2411yescharacteristic
404C22×Dic47C2418yescomplemented
405#10625352—416no—
406D4×D47—432no—
407D4×D47—416no—
408D4×D47—432no—
409D4×D47—432no—
410D4×D47—432no—
411D4×D47—432no—
412#10625350—432no—
413C2×D188—28no—
414C2×D188—28no—
415C2×D188—28no—
416C2×D188—416no—
417C2×D188—42no—
418C2×D188—44no—
419C2×D188—44no—
420C2×D188C2418yes—
421C2×D188C2418yes—
422C2×D188C2418yes—
423C2×D188C2418yes—
424C2×D188C2414yes—
425C2×D188C2418yescomplemented
426C2×C4×D47—24no—
427C2×C4×D47—28no—
428C2×C4×D47—44no—
429C2×C4×D47—44no—
430C2×C4×D47—44no—
431C2×C4×D47—44no—
432C2×C4×D47—44no—
433C2×C4×D47C2414yes—
434C2×C4×D47C2418yes—
435C2×C4×D47C2418yes—
436C2×C4×D47C2418yes—
437C2×C4×D47C2418yes—
438C2×C4×D47C2418yescomplemented
439C2×C4×D47C2418yescomplemented
440C2×Dic94—42no—
441C2×Dic94—44no—
442C2×Dic94C2414yescomplemented
443C2×Dic94C2418yescomplemented
444C4⋊C4×C47C2418yescomplemented
445C4⋊C4×C47C2418yescomplemented
446C4⋊C4×C47C2418yescomplemented
447C22⋊C4×C47C2418yes—
448C22⋊C4×C47C2418yes—
449C22⋊C4×C47C2418yes—
450C22⋊C4×C47C2418yes—
451C22⋊C4×C47C2414yes—
452C22⋊C4×C47C2414yescomplemented
453C22⋊C4×C47C2418yescomplemented
454C42×C47C2414yescomplemented
455C22⋊Dic47C2414yes—
456C22⋊Dic47C2418yes—
457C22⋊Dic47C2418yes—
458C22⋊Dic47C2418yes—
459C22⋊Dic47C2418yes—
460C22⋊Dic47C2414yescomplemented
461C22⋊Dic47C2418yescomplemented
462C22⋊Dic47C2418yescomplemented
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
477C4⋊Dic47C2418yescomplemented
478C4⋊Dic47C2418yescomplemented
479Dic47⋊C4C2418yescomplemented
480Dic47⋊C4C2418yescomplemented
481Dic47⋊C4C2418yescomplemented
482Dic47⋊C4C2418yescomplemented
483C4×Dic47C2414yescomplemented
484C4×Dic47C2418yescomplemented
485C4×Dic47C2418yescomplemented
486C23×C47—24no—
487C23×C47—24no—
488C23×C47—24no—
489C23×C47—24no—
490C23×C47—22no—
491C23×C47—24no—
492C23×C47—24no—
493C23×C47—24no—
494C23×C47—24no—
495C23×C47—22no—
496C23×C47—48no—
497C23×C47—44no—
498C23×C47—416no—
499C23×C47C2512yes—
500C23×C47C2514yes—
501C23×C47C2512yes—
502C23×C47C2514yes—
503C23×C47C2511yescharacteristic
504C22×D47—24no—
505C22×D47—24no—
506C22×D47—24no—
507C22×D47—24no—
508C22×D47—24no—
509C22×D47—24no—
510C22×D47—24no—
511C22×D47—22no—
512C22×D47—24no—
513C22×D47—22no—
514C22×D47—216no—
515C22×D47—216no—
516C22×D47—216no—
517C22×D47—216no—
518C22×D47—28no—
519C22×D47—28no—
520C22×D47—216no—
521C22×D47—44no—
522C22×D47—48no—
523C22×D47—48no—
524C22×D47—48no—
525C22×D47—48no—
526C22×D47—416no—
527C22×D47—432no—
528C22×D47—44no—
529C22×D47—48no—
530C22×D47—48no—
531C22×D47—48no—
532C22×D47—48no—
533C22×D47—416no—
534C22×D47—432no—
535C22×D47—4128no—
536C22×D47—88no—
537C22×D47—816no—
538C22×D47—88no—
539C22×D47H(5,𝔽2)14yes—
540C22×D47H(5,𝔽2)18yes—
541C22×D47C2512yes—
542C22×D47C2514yes—
543C22×D47C2512yes—
544C22×D47C2512yes—
545C22×D47C2514yes—
546D4×C47—44no—
547D4×C47—48no—
548D4×C47—48no—
549D4×C47—48no—
550D4×C47—48no—
551D4×C47—48no—
552D4×C47—44no—
553C2×C4×C47—22no—
554C2×C4×C47—24no—
555C2×C4×C47—24no—
556C2×C4×C47—24no—
557C2×C4×C47—24no—
558C2×C4×C47—44no—
559C2×C4×C47—48no—
560C2×C4×C47C2514yes—
561C2×C4×C47C2512yes—
562C2×C4×C47C2514yes—
563C2×C4×C47C2514yes—
564C2×C4×C47C2514yes—
565C22⋊D47—216no—
566C22⋊D47—216no—
567C22⋊D47—216no—
568C22⋊D47—48no—
569C22⋊D47—48no—
570C22⋊D47—48no—
571C22⋊D47—48no—
572C22⋊D47—48no—
573C22⋊D47—44no—
574C22⋊D47—44no—
575C22⋊D47—48no—
576C22⋊D47—48no—
577C2×Dic47—24no—
578C2×Dic47—24no—
579C2×Dic47—24no—
580C2×Dic47—22no—
581C2×Dic47—24no—
582C2×Dic47—48no—
583C2×Dic47C2514yes—
584C2×Dic47C2514yes—
585C2×Dic47C2514yes—
586C2×Dic47C2514yes—
587C2×Dic47C2512yes—
588D188—216no—
589D188—216no—
590D188—216no—
591D188—48no—
592D188—44no—
593D188—48no—
594C4×D47—216no—
595C4×D47—28no—
596C4×D47—48no—
597C4×D47—48no—
598C4×D47—48no—
599C4×D47—48no—
600C4×D47—48no—
601Dic94—48no—
602Dic94—44no—
603C2×#3532—471nomaximal, Sylow
604C22×C47—24no—
605C22×C47—24no—
606C22×C47—24no—
607C22×C47—24no—
608C22×C47—22no—
609C22×C47—24no—
610C22×C47—24no—
611C22×C47—24no—
612C22×C47—24no—
613C22×C47—22no—
614C22×C47—416no—
615C22×C47—44no—
616C22×C47—48no—
617C22×C47—44no—
618C22×C47—48no—
619C22×C47C2×H(5,𝔽2)14yes—
620C22×C47C2×H(5,𝔽2)12yes—
621C22×C47C2611yescharacteristic
622C2×D47—24no—
623C2×D47—24no—
624C2×D47—24no—
625C2×D47—28no—
626C2×D47—216no—
627C2×D47—24no—
628C2×D47—24no—
629C2×D47—24no—
630C2×D47—24no—
631C2×D47—22no—
632C2×D47—24no—
633C2×D47—22no—
634C2×D47—416no—
635C2×D47—432no—
636C2×D47—416no—
637C2×D47—432no—
638C2×D47—44no—
639C2×D47—44no—
640C2×D47—48no—
641C2×D47—88no—
642C2×D47—816no—
643C2×D47—88no—
644C2×D47C2×H(5,𝔽2)18yes—
645C2×D47C2×H(5,𝔽2)14yes—
646C4×C47—22no—
647C4×C47—24no—
648C4×C47—24no—
649C4×C47—24no—
650C4×C47—24no—
651Dic47—24no—
652Dic47—24no—
653Dic47—24no—
654Dic47—22no—
655Dic47—24no—
656#3532—4732no—
657C2×H(3,𝔽4)—471no—
658C2×#560—472no—
659C2×#560D4711yescharacteristic, complemented
660C2×#551—472no—
661C2×#551—471no—
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—471no—
673C2×#534—472no—
674C22×#120—471no—
675C22×#120—472no—
676C2×C47—42no—
677C2×C47—44no—
678C2×C47—42no—
679C2×C47—44no—
680C2×C47#353214yescomplemented
681C2×C47C22×H(5,𝔽2)12yes—
682C2×C47C22×H(5,𝔽2)11yescharacteristic
683D47—24no—
684D47—28no—
685D47—42no—
686D47—42no—
687D47—44no—
688C26—471no—
689C22×#41—471no—
690C22×#41—472no—
691C23×D4—471no—
692C23×D4—472no—
693C23×D4—472no—
694C23×D4—472no—
695C23×D4—472no—
696C23×D4—472no—
697C23×D4—471no—
698H(3,𝔽4)—4716no—
699#560—4732no—
700#560C2×D47116yescomplemented
701#551—4732no—
702#551—4716no—
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—4716no—
714#534—4732no—
715C2×#127—472no—
716C2×#127—471no—
717C2×#127C2×D4711yescharacteristic, complemented
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×#124—471no—
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⋊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×#121C2×D4712yescomplemented
755C2×#121C2×D4712yescomplemented
756C2×#121C2×D4712yescomplemented
757C2×#120—471no—
758C2×#120—472no—
759C2×#120—472no—
760C2×#120—472no—
761C2×#120—472no—
762C2×#120—471no—
763C2×#120—472no—
764C2×#120—471no—
765C2×#120—472no—
766C2×#120—472no—
767C2×#120—472no—
768C2×#120—4716no—
769C2×#120—4732no—
770C2×#120—472no—
771C2×#120—472no—
772C2×#120—472no—
773C2×#120—472no—
774C2×#120—471no—
775C2×#120—471no—
776C2×#120—472no—
777C2×#120C2×D4712yescomplemented
778C2×#120C2×D4711yescharacteristic, complemented
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×#117—471no—
787C22×C22⋊C4—472no—
788C22×C22⋊C4—471no—
789C22×C22⋊C4—472no—
790C22×C22⋊C4—472no—
791C22×C22⋊C4—472no—
792C22×C22⋊C4—472no—
793C22×C22⋊C4—471no—
794C47C2×#353211yescharacteristic, complemented, Sylow
795C25—471no—
796C25—472no—
797C25—472no—
798C25—471no—
799C25—472no—
800C25—471no—
801C25—478no—
802C25—471no—
803C25—1884no—
804C25—1888no—
805C25C22×D4711yescharacteristic
806C2×#41—478no—
807C2×#41—4716no—
808C2×#41—1888no—
809C2×#41—1884no—
810C22×Q8—472no—
811C22×Q8—471no—
812C22×D4—472no—
813C22×D4—472no—
814C22×D4—472no—
815C22×D4—471no—
816C22×D4—472no—
817C22×D4—472no—
818C22×D4—472no—
819C22×D4—471no—
820C22×D4—472no—
821C22×D4—472no—
822C22×D4—472no—
823C22×D4—472no—
824C22×D4—478no—
825C22×D4—4716no—
826C22×D4—4716no—
827C22×D4—4716no—
828C22×D4—4716no—
829C22×D4—4716no—
830C22×D4—472no—
831C22×D4—472no—
832C22×D4—472no—
833C22×D4—472no—
834C22×D4—471no—
835C22×D4—472no—
836C22×D4—478no—
837C22×D4—1884no—
838C22×D4—1888no—
839C22×D4—1884no—
840C22×D4—1888no—
841C22×D4—1888no—
842C22×D4—1888no—
843C22×D4—1888no—
844C22×D4C22×D4712yes—
845C22×D4C22×D4711yescharacteristic
846C22×D4C22×D4712yes—
847C22×D4C22×D4712yes—
848C22×D4C22×D4712yes—
849C22×D4C22×D4711yescharacteristic, complemented
850C22×D4C22×D4712yescomplemented
851C23×C4—472no—
852C23×C4—472no—
853C23×C4—471no—
854C23×C4—472no—
855C23×C4—472no—
856C23×C4—472no—
857C23×C4—472no—
858C23×C4—472no—
859C23×C4C22×D4712yescomplemented
860C23×C4C22×D4711yescharacteristic, complemented
861#127—4716no—
862#127—478no—
863#127C22×D4718yescomplemented
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#124—478no—
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⋊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#121C22×D47116yescomplemented
901#121C22×D47116yescomplemented
902#121C22×D47116yescomplemented
903#120—478no—
904#120—4716no—
905#120—4716no—
906#120—4716no—
907#120—4716no—
908#120—478no—
909#120—4716no—
910#120—478no—
911#120—4716no—
912#120—4716no—
913#120—4716no—
914#120—4716no—
915#120—4716no—
916#120—4716no—
917#120—4716no—
918#120—478no—
919#120—478no—
920#120—4716no—
921#120C22×D47116yescomplemented
922#120C22×D4718yescomplemented
923C4×D4—4716no—
924C4×D4—4716no—
925C4×D4—4716no—
926C4×D4—4716no—
927C4×D4—4716no—
928C4×D4—4716no—
929#117—4716no—
930#117—478no—
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⋊C4C22×D4712yescomplemented
938C2×C4⋊C4C22×D4712yescomplemented
939C2×C4⋊C4C22×D4712yescomplemented
940C2×C22⋊C4—471no—
941C2×C22⋊C4—472no—
942C2×C22⋊C4—472no—
943C2×C22⋊C4—472no—
944C2×C22⋊C4—472no—
945C2×C22⋊C4—471no—
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—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—478no—
964C2×C22⋊C4—4716no—
965C2×C22⋊C4—4716no—
966C2×C22⋊C4—4716no—
967C2×C22⋊C4—4716no—
968C2×C22⋊C4—478no—
969C2×C22⋊C4C22×D4712yes—
970C2×C22⋊C4C22×D4712yes—
971C2×C22⋊C4C22×D4712yes—
972C2×C22⋊C4C22×D4712yes—
973C2×C22⋊C4C22×D4711yescharacteristic
974C2×C22⋊C4C22×D4711yescharacteristic, complemented
975C2×C22⋊C4C22×D4712yescomplemented
976C2×C42—471no—
977C2×C42—472no—
978C2×C42—472no—
979C2×C42C22×D4711yescharacteristic, complemented
980C24—44no—
981C24—42no—
982C24—471no—
983C24—472no—
984C24—471no—
985C24—472no—
986C24—471no—
987C24—474no—
988C24—478no—
989C24—478no—
990C24—474no—
991C24—478no—
992C24—474no—
993C24—474no—
994C24—944no—
995C24—948no—
996C24—948no—
997C24—948no—
998C24—948no—
999C24—944no—
1000C24—948no—
1001C24—1884no—
1002C24—1882no—
1003C24—1884no—
1004C24—1884no—
1005C24—1884no—
1006C24—1882no—
1007C24—1884no—
1008C24—1884no—
1009C24—1884no—
1010C24—1884no—
1011C24—18816no—
1012C24—18832no—
1013C24—18864no—
1014C24C23×D4711yescharacteristic
1015C24C23×D4712yes—
1016C24C23×D4711yescharacteristic
1017C24C23×D4712yes—
1018C24C23×D4714yes—
1019#41—18832no—
1020#41—18816no—
1021C2×Q8—478no—
1022C2×Q8—474no—
1023C2×Q8—1884no—
1024C2×Q8—1882no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—478no—
1033C2×D4—478no—
1034C2×D4—478no—
1035C2×D4—474no—
1036C2×D4—478no—
1037C2×D4—478no—
1038C2×D4—478no—
1039C2×D4—474no—
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—474no—
1049C2×D4—478no—
1050C2×D4—948no—
1051C2×D4—948no—
1052C2×D4—948no—
1053C2×D4—948no—
1054C2×D4—948no—
1055C2×D4—948no—
1056C2×D4—1884no—
1057C2×D4—1884no—
1058C2×D4—1882no—
1059C2×D4—18816no—
1060C2×D4—18832no—
1061C2×D4—18816no—
1062C2×D4—1882no—
1063C2×D4—1882no—
1064C2×D4—1884no—
1065C2×D4—1884no—
1066C2×D4—1884no—
1067C2×D4—1884no—
1068C2×D4—1884no—
1069C2×D4—1884no—
1070C2×D4—1884no—
1071C2×D4—18832no—
1072C2×D4—18832no—
1073C2×D4—18832no—
1074C2×D4—18832no—
1075C2×D4C23×D4718yes—
1076C2×D4C23×D4714yes—
1077C2×D4C23×D4718yes—
1078C2×D4C23×D4718yes—
1079C2×D4C23×D4718yes—
1080C2×D4C23×D4714yescomplemented
1081C2×D4C23×D4718yescomplemented
1082C22×C4—42no—
1083C22×C4—44no—
1084C22×C4—472no—
1085C22×C4—472no—
1086C22×C4—472no—
1087C22×C4—472no—
1088C22×C4—471no—
1089C22×C4—478no—
1090C22×C4—478no—
1091C22×C4—474no—
1092C22×C4—478no—
1093C22×C4—478no—
1094C22×C4—478no—
1095C22×C4—478no—
1096C22×C4—478no—
1097C22×C4—948no—
1098C22×C4—944no—
1099C22×C4—1884no—
1100C22×C4—1884no—
1101C22×C4—1884no—
1102C22×C4—1884no—
1103C22×C4—1884no—
1104C22×C4—1884no—
1105C22×C4C23×D4711yescharacteristic
1106C22×C4C23×D4712yes—
1107C22×C4C23×D4712yes—
1108C22×C4C23×D4712yes—
1109C22×C4C23×D4712yes—
1110C22×C4C23×D4718yescomplemented
1111C22×C4C23×D4714yescomplemented
1112C4⋊C4—478no—
1113C4⋊C4—478no—
1114C4⋊C4—478no—
1115C4⋊C4—478no—
1116C4⋊C4—478no—
1117C4⋊C4—478no—
1118C4⋊C4C23×D4718yescomplemented
1119C4⋊C4C23×D4718yescomplemented
1120C4⋊C4C23×D4718yescomplemented
1121C22⋊C4—474no—
1122C22⋊C4—478no—
1123C22⋊C4—478no—
1124C22⋊C4—478no—
1125C22⋊C4—478no—
1126C22⋊C4—474no—
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⋊C4—478no—
1143C22⋊C4C23×D4718yes—
1144C22⋊C4C23×D4718yes—
1145C22⋊C4C23×D4718yes—
1146C22⋊C4C23×D4718yes—
1147C22⋊C4C23×D4714yes—
1148C22⋊C4C23×D4714yescomplemented
1149C22⋊C4C23×D4718yescomplemented
1150C42—474no—
1151C42—478no—
1152C42—478no—
1153C42C23×D4714yescomplemented
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—22no—
1164C23—48no—
1165C23—44no—
1166C23—416no—
1167C23—474no—
1168C23—478no—
1169C23—472no—
1170C23—474no—
1171C23—472no—
1172C23—474no—
1173C23—472no—
1174C23—948no—
1175C23—9416no—
1176C23—9416no—
1177C23—9416no—
1178C23—9416no—
1179C23—948no—
1180C23—9416no—
1181C23—944no—
1182C23—944no—
1183C23—944no—
1184C23—944no—
1185C23—944no—
1186C23—944no—
1187C23—944no—
1188C23—942no—
1189C23—944no—
1190C23—942no—
1191C23—3768no—
1192C23—37616no—
1193C23—3768no—
1194C23—1888no—
1195C23—1884no—
1196C23—1888no—
1197C23—1888no—
1198C23—1888no—
1199C23—1884no—
1200C23—1888no—
1201C23—1888no—
1202C23—1888no—
1203C23—1888no—
1204C23—18832no—
1205C23—18816no—
1206C23—18816no—
1207C23—18832no—
1208C23—188128no—
1209C23C24×D4712yes—
1210C23C24×D4714yes—
1211C23C24×D4712yes—
1212C23C24×D4714yes—
1213C23C24×D4711yescharacteristic
1214Q8—1888no—
1215Q8—1884no—
1216D4—48no—
1217D4—48no—
1218D4—48no—
1219D4—44no—
1220D4—48no—
1221D4—48no—
1222D4—44no—
1223D4—9416no—
1224D4—9416no—
1225D4—9416no—
1226D4—9416no—
1227D4—9416no—
1228D4—9416no—
1229D4—1888no—
1230D4—1888no—
1231D4—1884no—
1232D4—1884no—
1233D4—1884no—
1234D4—1888no—
1235D4—1888no—
1236D4—1888no—
1237D4—1888no—
1238D4—1888no—
1239D4—1888no—
1240D4—1888no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—22no—
1245C2×C4—24no—
1246C2×C4—44no—
1247C2×C4—48no—
1248C2×C4—474no—
1249C2×C4—474no—
1250C2×C4—474no—
1251C2×C4—474no—
1252C2×C4—472no—
1253C2×C4—9416no—
1254C2×C4—948no—
1255C2×C4—942no—
1256C2×C4—944no—
1257C2×C4—944no—
1258C2×C4—944no—
1259C2×C4—944no—
1260C2×C4—1888no—
1261C2×C4—1888no—
1262C2×C4—1888no—
1263C2×C4—1888no—
1264C2×C4—1888no—
1265C2×C4—1888no—
1266C2×C4C24×D4712yes—
1267C2×C4C24×D4714yes—
1268C2×C4C24×D4714yes—
1269C2×C4C24×D4714yes—
1270C2×C4C24×D4714yes—
1271C22—24no—
1272C22—22no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—416no—
1282C22—48no—
1283C22—44no—
1284C22—44no—
1285C22—48no—
1286C22—474no—
1287C22—478no—
1288C22—948no—
1289C22—9416no—
1290C22—944no—
1291C22—944no—
1292C22—944no—
1293C22—944no—
1294C22—944no—
1295C22—944no—
1296C22—944no—
1297C22—942no—
1298C22—944no—
1299C22—942no—
1300C22—3768no—
1301C22—37616no—
1302C22—3768no—
1303C22—18832no—
1304C22—18816no—
1305C22—18816no—
1306C22—18832no—
1307C22—1888no—
1308C22—1884no—
1309C22—1884no—
1310C22H(5,𝔽2)×D4714yes—
1311C22H(5,𝔽2)×D4712yes—
1312C22C25×D4711yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—24no—
1316C4—22no—
1317C4—24no—
1318C4—942no—
1319C4—944no—
1320C4—944no—
1321C4—944no—
1322C4—944no—
1323C2—44no—
1324C2—42no—
1325C2—42no—
1326C2—44no—
1327C2—944no—
1328C2—948no—
1329C2—1884no—
1330C2—1882no—
1331C2—1882no—
1332C2#2025754114yesdirect product factor
1333C2C2×H(5,𝔽2)×D4712yes—
1334C2C2×H(5,𝔽2)×D4711yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#560C2
socleC23×C47C25
hypercenterC2×#560D47
hypocenterC47C2×#3532
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #20257541C2direct (N × H)
2. C2×#15689866C2semidirect
3. C2×#15689862C2semidirect
4. C2×#15689801C2semidirect
5. C2×#15689798C2semidirect
6. C2×#15689770C2semidirect
7. C2×#15689765C2semidirect
8. C2×#15689762C2semidirect
9. C2×#15689758C2semidirect
10. C2×#15689757C2semidirect
11. C2×#15689712C2semidirect
12. C2×#15689709C2semidirect
13. C2×#15689705C2semidirect
14. C2×#15689689C2semidirect
15. C2×#15689686C2semidirect
16. C2×#15689684C2semidirect
17. C2×#15689681C2semidirect
18. C2×#120×D47C2semidirect
19. C2×#120×D47C2semidirect
20. C2×C47×#560C2semidirect
21. C25×D47C22semidirect
22. C22×#10625350C22semidirect
23. C22×#10625352C22semidirect
24. C23×D188C22semidirect
25. C22×D4×D47C22semidirect
26. C22×D4×D47C22semidirect
27. C22×D4×D47C22semidirect
28. C22×D4×D47C22semidirect
29. C22×D4×D47C22semidirect
30. C22×D4×D47C22semidirect
31. #15689866C22semidirect
32. #15689862C22semidirect
33. #15689801C22semidirect
34. #15689798C22semidirect
35. #15689770C22semidirect
36. #15689765C22semidirect
37. #15689762C22semidirect
38. #15689758C22semidirect
39. #15689757C22semidirect
40. #15689712C22semidirect
41. #15689709C22semidirect
42. #15689705C22semidirect
43. #15689689C22semidirect
44. #15689686C22semidirect
45. #15689684C22semidirect
46. #15689681C22semidirect
47. C2×#13094020C22semidirect
48. C2×#13094020C22semidirect
49. C2×#13094019C22semidirect
50. C2×#13094017C22semidirect
51. C2×#13094017C22semidirect
52. C2×#13094012C22semidirect
53. C2×#13094011C22semidirect
54. C2×#13094011C22semidirect
55. C2×#13094010C22semidirect
56. C2×#13094010C22semidirect
57. C2×#13094010C22semidirect
58. C2×#13094010C22semidirect
59. C2×#13094009C22semidirect
60. C2×#13094009C22semidirect
61. C2×#13094009C22semidirect
62. C2×#13094007C22semidirect
63. C2×#13094006C22semidirect
64. C2×#13094006C22semidirect
65. C2×#13094006C22semidirect
66. C2×#13094005C22semidirect
67. C2×#13094004C22semidirect
68. C2×#13094002C22semidirect
69. C2×#13094002C22semidirect
70. C2×#13093999C22semidirect
71. C2×#13093999C22semidirect
72. C2×#13093998C22semidirect
73. C2×#13093997C22semidirect
74. C2×#13093997C22semidirect
75. C2×#13093997C22semidirect
76. C2×#13093996C22semidirect
77. C2×#13093996C22semidirect
78. C2×#13093996C22semidirect
79. C2×#13093995C22semidirect
80. C2×#13093995C22semidirect
81. C2×#13093995C22semidirect
83. C2×#13093994C22semidirect
84. C2×#13093994C22semidirect
85. C2×#13093994C22semidirect
86. C2×#13093994C22semidirect
87. C2×#13093994C22semidirect
88. C2×#13093994C22semidirect
89. C2×#13093993C22semidirect
90. C2×#13093993C22semidirect
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. #120×D47C22semidirect
102. C2×C4×D188C22semidirect
103. C2×#13093986C22semidirect
104. C2×#13093986C22semidirect
105. C2×C4×C22⋊D47C22semidirect
106. C2×C4×C22⋊D47C22semidirect
107. C2×(C22⋊D47)⋊C4C22semidirect
108. C2×#13093982C22semidirect
109. C2×#13093981C22semidirect
110. C22×(C2×D47)⋊C4C22semidirect
111. C2×C22⋊C4×D47C22semidirect
112. C2×C22⋊C4×D47C22semidirect
113. C2×C22⋊C4×D47C22semidirect
114. C2×C22⋊C4×D47C22semidirect
115. C2×C22⋊C4×D47C22semidirect
116. C2×C22⋊C4×D47C22semidirect
117. C47×#560C22semidirect
118. C2×#127×C47C22semidirect
119. C2×#126×C47C22semidirect
120. C2×#123×C47C22semidirect
121. C2×#123×C47C22semidirect
122. C2×#121×C47C22semidirect
123. C2×#121×C47C22semidirect
124. C2×#121×C47C22semidirect
125. C2×#120×C47C22semidirect
126. C2×#120×C47C22semidirect
135. C24×D47C23semidirect
136. C24×D47C23semidirect
138. C2×#10625350C23semidirect
140. C2×#10625352C23semidirect
141. C22×Dic94C23semidirect
142. C22×Dic94C23semidirect
149. C22×D188C23semidirect
150. C22×D188C23semidirect
161. C22×C22⋊D47C23semidirect
162. C22×C22⋊D47C23semidirect
169. C2×D4×D47C23semidirect
170. C2×D4×D47C23semidirect
171. C2×D4×D47C23semidirect
172. C2×D4×D47C23semidirect
173. C2×D4×D47C23semidirect
174. C2×D4×D47C23semidirect
175. C23×Dic47C23semidirect
181. C22×C4×D47C23semidirect
182. C22×C4×D47C23semidirect
183. #13094020C23semidirect
184. #13094020C23semidirect
185. #13094019C23semidirect
186. #13094017C23semidirect
187. #13094017C23semidirect
188. #13094012C23semidirect
189. #13094011C23semidirect
190. #13094011C23semidirect
191. #13094010C23semidirect
192. #13094010C23semidirect
193. #13094010C23semidirect
194. #13094010C23semidirect
195. #13094009C23semidirect
196. #13094009C23semidirect
197. #13094009C23semidirect
198. #13094007C23semidirect
199. #13094006C23semidirect
200. #13094006C23semidirect
201. #13094006C23semidirect
202. #13094005C23semidirect
203. #13094004C23semidirect
204. #13094002C23semidirect
205. #13094002C23semidirect
206. #13093999C23semidirect
207. #13093999C23semidirect
208. #13093998C23semidirect
209. #13093997C23semidirect
210. #13093997C23semidirect
211. #13093997C23semidirect
212. #13093996C23semidirect
213. #13093996C23semidirect
214. #13093996C23semidirect
215. #13093995C23semidirect
216. #13093995C23semidirect
217. #13093995C23semidirect
219. #13093994C23semidirect
220. #13093994C23semidirect
221. #13093994C23semidirect
222. #13093994C23semidirect
223. #13093994C23semidirect
224. #13093994C23semidirect
225. #13093993C23semidirect
226. #13093993C23semidirect
228. #13093992C23semidirect
229. #13093992C23semidirect
230. #13093992C23semidirect
231. #13093992C23semidirect
232. #13093992C23semidirect
233. #13093992C23semidirect
234. #13093992C23semidirect
235. #13093992C23semidirect
236. C4×D188C23semidirect
237. #13093986C23semidirect
238. #13093986C23semidirect
239. C4×C22⋊D47C23semidirect
240. C4×C22⋊D47C23semidirect
241. (C22⋊D47)⋊C4C23semidirect
242. #13093982C23semidirect
243. #13093981C23semidirect
244. C2×C4⋊Dic47C23semidirect
245. C2×C4⋊Dic47C23semidirect
246. C2×Dic47⋊C4C23semidirect
247. C2×Dic47⋊C4C23semidirect
248. C2×Dic47⋊C4C23semidirect
249. C2×Dic47⋊C4C23semidirect
255. C2×C22⋊Dic47C23semidirect
256. C2×C22⋊Dic47C23semidirect
257. 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. C22⋊C4×D47C23semidirect
274. C22⋊C4×D47C23semidirect
275. C22⋊C4×D47C23semidirect
276. C22⋊C4×D47C23semidirect
277. C22⋊C4×D47C23semidirect
278. C22⋊C4×D47C23semidirect
279. C2×C4×Dic47C23semidirect
280. C2×C4×Dic47C23semidirect
281. C2×C4×Dic47C23semidirect
288. C22×D4×C47C23semidirect
289. C22×D4×C47C23semidirect
290. C23×C4×C47C23semidirect
291. C23×C4×C47C23semidirect
292. #127×C47C23semidirect
293. #126×C47C23semidirect
294. #123×C47C23semidirect
295. #123×C47C23semidirect
296. #121×C47C23semidirect
297. #121×C47C23semidirect
298. #121×C47C23semidirect
299. #120×C47C23semidirect
300. #120×C47C23semidirect
301. C2×C4⋊C4×C47C23semidirect
302. C2×C4⋊C4×C47C23semidirect
303. C2×C4⋊C4×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C22⋊C4×C47C23semidirect
311. C2×C42×C47C23semidirect
350. C23×D47C24semidirect
363. C2×D4×C47C24semidirect
364. C2×D4×C47C24semidirect
372. C22×C4×C47C24semidirect
373. C22×C4×C47C24semidirect
396. C2×C22⋊D47C24semidirect
397. C2×C22⋊D47C24semidirect
404. C22×Dic47C24semidirect
425. C2×D188C24semidirect
438. C2×C4×D47C24semidirect
439. C2×C4×D47C24semidirect
442. C2×Dic94C24semidirect
443. C2×Dic94C24semidirect
444. C4⋊C4×C47C24semidirect
445. C4⋊C4×C47C24semidirect
446. C4⋊C4×C47C24semidirect
452. C22⋊C4×C47C24semidirect
453. C22⋊C4×C47C24semidirect
454. C42×C47C24semidirect
460. C22⋊Dic47C24semidirect
461. C22⋊Dic47C24semidirect
462. C22⋊Dic47C24semidirect
472. (C2×D47)⋊C4C24semidirect
473. (C2×D47)⋊C4C24semidirect
474. (C2×D47)⋊C4C24semidirect
475. (C2×D47)⋊C4C24semidirect
476. (C2×D47)⋊C4C24semidirect
477. C4⋊Dic47C24semidirect
478. C4⋊Dic47C24semidirect
479. Dic47⋊C4C24semidirect
480. Dic47⋊C4C24semidirect
481. Dic47⋊C4C24semidirect
482. Dic47⋊C4C24semidirect
483. C4×Dic47C24semidirect
484. C4×Dic47C24semidirect
485. C4×Dic47C24semidirect
659. C2×#560D47semidirect
680. C2×C47#3532semidirect
700. #560C2×D47semidirect
717. C2×#127C2×D47semidirect
721. C2×#126C2×D47semidirect
737. C2×#123C2×D47semidirect
738. C2×#123C2×D47semidirect
754. C2×#121C2×D47semidirect
755. C2×#121C2×D47semidirect
756. C2×#121C2×D47semidirect
777. C2×#120C2×D47semidirect
778. C2×#120C2×D47semidirect
794. C47C2×#3532semidirect
849. C22×D4C22×D47semidirect
850. C22×D4C22×D47semidirect
859. C23×C4C22×D47semidirect
860. C23×C4C22×D47semidirect
863. #127C22×D47semidirect
867. #126C22×D47semidirect
883. #123C22×D47semidirect
884. #123C22×D47semidirect
900. #121C22×D47semidirect
901. #121C22×D47semidirect
902. #121C22×D47semidirect
921. #120C22×D47semidirect
922. #120C22×D47semidirect
937. C2×C4⋊C4C22×D47semidirect
938. C2×C4⋊C4C22×D47semidirect
939. C2×C4⋊C4C22×D47semidirect
974. C2×C22⋊C4C22×D47semidirect
975. C2×C22⋊C4C22×D47semidirect
979. C2×C42C22×D47semidirect
1080. C2×D4C23×D47semidirect
1081. C2×D4C23×D47semidirect
1110. C22×C4C23×D47semidirect
1111. C22×C4C23×D47semidirect
1118. C4⋊C4C23×D47semidirect
1119. C4⋊C4C23×D47semidirect
1120. C4⋊C4C23×D47semidirect
1148. C22⋊C4C23×D47semidirect
1149. C22⋊C4C23×D47semidirect
1153. C42C23×D47semidirect
1332. C2#20257541direct (N × H)

Maximal subgroups

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

subgroupindex
#202575412
C2×#156898662
C2×#156898622
C2×#156898012
C2×#156897982
C2×#156897702
C2×#156897652
C2×#156897622
C2×#156897582
C2×#156897572
C2×#156897122
C2×#156897092
C2×#156897052
C2×#156896892
C2×#156896862
C2×#156896842
C2×#156896812
C2×#120×D472
C2×C47×#5602
C2×#353247