Finite Group Databasebeta

← C2×#20257223 #27124198

Subgroups — C2×#20257223 #27124198

Order 12032.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257223C2132yesmaximal, direct product factor
2C2×#15689826C211yesmaximal, characteristic, complemented
3C2×#15689824C212yesmaximal, complemented
4C2×#15689823C211yesmaximal, characteristic, complemented
5C2×#15689817C212yesmaximal, complemented
6C2×#15689814C211yesmaximal, characteristic, complemented
7C2×#15689811C211yesmaximal, characteristic, complemented
8C2×#15689798C212yesmaximal, complemented
9C2×#15689797C212yesmaximal, complemented
10C2×#15689785C211yesmaximal, characteristic, complemented
11C2×#15689781C211yesmaximal, characteristic, complemented
12C2×#15689768C211yesmaximal, characteristic, complemented
13C2×#15689766C211yesmaximal, characteristic, complemented
14C2×#15689717C212yesmaximal, complemented
15C2×#15689706C212yesmaximal, complemented
16C2×#15689684C212yesmaximal, complemented
17C2×#15689657C211yesmaximal, characteristic, complemented
18C2×#15689636C211yesmaximal, characteristic, complemented
19C2×#15689633C211yesmaximal, characteristic, complemented
20C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
21C2×#121×D47C211yesmaximal, characteristic, complemented
22C2×#15689595C212yesmaximal, complemented
23C22×C4×D188C211yesmaximal, characteristic, complemented
24C2×C47×#529C211yesmaximal, characteristic, complemented
25C22×#10625354C2211yescharacteristic, complemented
26C22×#10625352C2211yescharacteristic, complemented
27C22×Q8×D47C2211yescharacteristic, complemented
28C23×D188C2211yescharacteristic
29C22×D4×D47C2212yes—
30C22×D4×D47C2211yescharacteristic, complemented
31C23×C4×D47C2211yescharacteristic
32C23×C4×D47C2211yescharacteristic, complemented
33#15689826C22116yescomplemented
34#15689824C22132yescomplemented
35#15689823C22116yescomplemented
36#15689817C22132yescomplemented
37#15689814C22116yescomplemented
38#15689811C22116yescomplemented
39#15689798C22132yescomplemented
40#15689797C22132yescomplemented
41#15689785C22116yescomplemented
42#15689781C22116yescomplemented
43#15689768C22116yescomplemented
44#15689766C22116yescomplemented
45#15689717C22132yescomplemented
46#15689706C22132yescomplemented
47#15689684C22132yescomplemented
48#15689657C22116yescomplemented
49C2×#13094019C2212yescomplemented
50C2×#13094019C2212yescomplemented
51C2×#13094018C2212yescomplemented
52C2×#13094018C2212yescomplemented
53C2×#13094017C2212yescomplemented
54C2×#13094016C2211yescharacteristic, complemented
55C2×#13094015C2212yescomplemented
56C2×#13094014C2212yescomplemented
57C2×#13094012C2211yescharacteristic, complemented
58C2×#13094012C2212yescomplemented
59C2×#13094010C2212yescomplemented
60#15689636C22116yescomplemented
61#15689633C22116yescomplemented
62C2×#13094009C2212yes—
63C2×#13094009C2212yes—
64C2×#13094009C2212yescomplemented
65C2×#13094009C2212yescomplemented
66C2×#13094008C2212yescomplemented
67C2×#13094007C2212yescomplemented
68C2×#13094007C2212yescomplemented
69C2×#13094006C2212yescomplemented
70C2×#13094006C2212yescomplemented
71C2×#13094004C2211yescharacteristic, complemented
72C2×#13094004C2212yescomplemented
73C2×#13094004C2211yescharacteristic, complemented
74C2×#13094003C2211yescharacteristic, complemented
75C2×#13094002C2212yescomplemented
76C2×#13094001C2212yescomplemented
77C2×#13094001C2212yescomplemented
78C2×#13094000C2211yescharacteristic, complemented
79C2×#13094000C2211yescharacteristic, complemented
80C22⋊Q8×D47C22116yescomplemented
81C2×#13093999C2211yescharacteristic, complemented
82C2×#13093999C2211yescharacteristic, complemented
83C2×#13093999C2212yescomplemented
84C2×#13093999C2212yescomplemented
85C2×#13093998C2211yescharacteristic
86C2×#13093998C2212yescomplemented
87C2×#13093997C2212yescomplemented
88C2×#13093997C2212yescomplemented
89C2×#13093997C2212yescomplemented
90C2×#13093997C2212yescomplemented
91C2×#13093996C2212yes—
92C2×#13093995C2211yescharacteristic, complemented
93C2×#13093995C2211yescharacteristic, complemented
94#121×D47C22116yescomplemented
95C2×#13093994C2212yes—
96C2×#13093994C2212yes—
97C2×#13093994C2212yescomplemented
98C2×#13093992C2212yescomplemented
99#15689595C22132yescomplemented
100C2×C4×Dic94C2211yescharacteristic, complemented
101C2×C4×D188C2211yescharacteristic
102C2×C4×D188C2211yescharacteristic
103C2×C4×D188C2211yescharacteristic
104C2×C4×D188C2211yescharacteristic
105C2×C4×D188C2211yescharacteristic, complemented
106C2×C4×D188C2211yescharacteristic, complemented
107C2×C4×D188C2211yescharacteristic, complemented
108C2×C4×D188C2211yescharacteristic, complemented
109C2×C4×D188C2212yescomplemented
110C2×C4×D188C2211yescharacteristic, complemented
111C2×C4×D188C22116yescomplemented
112C2×D4×Dic47C2212yescomplemented
113C2×#13093986C2212yescomplemented
114C2×#13093986C2212yescomplemented
115C2×C4×C22⋊D47C2212yescomplemented
116C2×C4×C22⋊D47C2212yescomplemented
117C2×(C22⋊D47)⋊C4C2212yescomplemented
118C2×(C22⋊D47)⋊C4C2212yescomplemented
119C2×(C22⋊D47)⋊C4C2212yescomplemented
120C2×#13093982C2212yescomplemented
121C2×#13093982C2211yescharacteristic, complemented
122C2×#13093982C2211yescharacteristic, complemented
123C2×#13093981C2212yescomplemented
124C2×#13093981C2212yescomplemented
125C22×C4⋊Dic47C2211yescharacteristic, complemented
126C2×C4⋊C4×D47C2211yescharacteristic, complemented
127C2×C4⋊C4×D47C2212yescomplemented
128C2×C4⋊C4×D47C2211yescharacteristic, complemented
129C22×(C2×D47)⋊C4C2211yescharacteristic
130C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
131C22×(C2×D47)⋊C4C2212yescomplemented
132C2×C22⋊C4×D47C2212yes—
133C2×C22⋊C4×D47C2212yescomplemented
134C2×C22⋊C4×D47C2212yescomplemented
135C47×#529C22116yescomplemented
136C2×#126×C47C2212yescomplemented
137C2×#125×C47C2211yescharacteristic, complemented
138C2×#124×C47C2211yescharacteristic, complemented
139C2×#123×C47C2212yescomplemented
140C2×C22⋊Q8×C47C2211yescharacteristic, complemented
141C2×#121×C47C2211yescharacteristic
142C2×C4×Q8×C47C2211yescharacteristic, complemented
143C2×C4×D4×C47C2212yescomplemented
144C2×C4×D4×C47C2211yescharacteristic, complemented
145C2×#117×C47C2212yescomplemented
146C22×C42×C47C2211yescharacteristic, complemented
147C24×D47C2312yes—
148C24×D47C2311yescharacteristic
149C24×D47C2311yescharacteristic
150C2×#10625354—44no—
151C2×#10625354C2318yescomplemented
152C2×#10625352—44no—
153C2×#10625352C2318yescomplemented
154C22×Dic94C2311yescharacteristic
155C22×Dic94C2312yes—
156C2×Q8×D47—44no—
157C2×Q8×D47C2318yescomplemented
158C22×D188—28no—
159C22×D188C2312yes—
160C22×D188C2311yescharacteristic
161C22×D188C2311yescharacteristic
162C22×D188C2311yescharacteristic
163C22×D188C2311yescharacteristic
164C22×D188C2318yes—
165C22×D188C2311yescharacteristic
166C22×D188C2312yes—
167C22×D188C2312yes—
168C22×C22⋊D47C2312yes—
169C22×C22⋊D47C2312yes—
170C22×C22⋊D47C2312yes—
171C22×C22⋊D47C2312yes—
172C22×C22⋊D47C2312yes—
173C2×D4×D47—216no—
174C2×D4×D47—44no—
175C2×D4×D47C23116yes—
176C2×D4×D47C2318yescomplemented
177C23×Dic47C2311yescharacteristic
178C23×Dic47C2311yescharacteristic
179C23×Dic47C2312yes—
180C22×C4×D47—44no—
181C22×C4×D47—44no—
182C22×C4×D47C2312yes—
183C22×C4×D47C2311yescharacteristic
184C22×C4×D47C2311yescharacteristic
185C22×C4×D47C2311yescharacteristic
186C22×C4×D47C2311yescharacteristic
187C22×C4×D47C2312yes—
188C22×C4×D47C2312yes—
189C22×C4×D47C2311yescharacteristic
190C22×C4×D47C2312yes—
191C22×C4×D47C2312yes—
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2318yes—
196C22×C4×D47C2318yescomplemented
197#13094019C23116yescomplemented
198#13094019C23116yescomplemented
199#13094018C23116yescomplemented
200#13094018C23116yescomplemented
201#13094017C23116yescomplemented
202#13094016C2318yescomplemented
203#13094015C23116yescomplemented
204#13094014C23116yescomplemented
205#13094012C2318yescomplemented
206#13094012C23116yescomplemented
207#13094010C23116yescomplemented
208#13094009C23116yes—
209#13094009C23116yes—
210#13094009C23116yescomplemented
211#13094009C23116yescomplemented
212#13094008C23116yescomplemented
213#13094007C23116yescomplemented
214#13094007C23116yescomplemented
215#13094006C23116yescomplemented
216#13094006C23116yescomplemented
217#13094004C2318yescomplemented
218#13094004C23116yescomplemented
219#13094004C2318yescomplemented
220#13094003C2318yescomplemented
221#13094002C23116yescomplemented
222#13094001C23116yescomplemented
223#13094001C23116yescomplemented
224#13094000C2318yescomplemented
225#13094000C2318yescomplemented
226#13093999C2318yescomplemented
227#13093999C23116yescomplemented
228#13093999C2318yescomplemented
229#13093999C23116yescomplemented
230#13093998C2318yes—
231#13093998C23116yescomplemented
232#13093997C23116yescomplemented
233#13093997C23116yescomplemented
234#13093997C23116yescomplemented
235#13093997C23116yescomplemented
236#13093996C23116yes—
237#13093995C2318yescomplemented
238#13093995C2318yescomplemented
239#13093994C23116yes—
240#13093994C23116yes—
241#13093994C23116yescomplemented
242#13093992C23116yescomplemented
243C4×Dic94C2318yescomplemented
244C4×D188C2318yes—
245C4×D188C2318yes—
246C4×D188C2318yes—
247C4×D188C2318yes—
248C4×D188C2318yescomplemented
249C4×D188C2318yescomplemented
250C4×D188C23116yescomplemented
251C4×D188C2318yescomplemented
252C4×D188C2318yescomplemented
253C4×D188C2318yescomplemented
254D4×Dic47C23116yescomplemented
255#13093986C23116yescomplemented
256#13093986C23116yescomplemented
257C4×C22⋊D47C23116yescomplemented
258C4×C22⋊D47C23116yescomplemented
259(C22⋊D47)⋊C4C23116yescomplemented
260(C22⋊D47)⋊C4C23116yescomplemented
261(C22⋊D47)⋊C4C23116yescomplemented
262#13093982C23116yescomplemented
263#13093982C2318yescomplemented
264#13093982C2318yescomplemented
265#13093981C23116yescomplemented
266#13093981C23116yescomplemented
267C2×C4⋊Dic47C2311yescharacteristic
268C2×C4⋊Dic47C2311yescharacteristic
269C2×C4⋊Dic47C2312yes—
270C2×C4⋊Dic47C2311yescharacteristic
271C2×C4⋊Dic47C2311yescharacteristic
272C2×C4⋊Dic47C2311yescharacteristic
273C2×C4⋊Dic47C2311yescharacteristic
274C2×C4⋊Dic47C2312yes—
275C2×C4⋊Dic47C2318yescomplemented
276C2×Dic47⋊C4C2312yes—
277C2×Dic47⋊C4C2312yes—
278C2×Dic47⋊C4C2312yes—
279C2×Dic47⋊C4C2312yes—
280C2×Dic47⋊C4C2312yes—
281C2×Dic47⋊C4C2312yes—
282C2×Dic47⋊C4C2312yes—
283C2×Dic47⋊C4C2312yes—
284C4⋊C4×D47C2318yescomplemented
285C4⋊C4×D47C23116yescomplemented
286C4⋊C4×D47C2318yescomplemented
287C2×C22⋊Dic47C2312yes—
288C2×C22⋊Dic47C2312yes—
289C2×C22⋊Dic47C2312yes—
290C2×(C2×D47)⋊C4C2312yes—
291C2×(C2×D47)⋊C4C2312yes—
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2312yes—
294C2×(C2×D47)⋊C4C2312yes—
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2318yes—
299C2×(C2×D47)⋊C4C2312yes—
300C2×(C2×D47)⋊C4C2312yes—
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2312yes—
306C2×(C2×D47)⋊C4C2312yes—
307C2×(C2×D47)⋊C4C2312yes—
308C2×(C2×D47)⋊C4C2312yes—
309C2×(C2×D47)⋊C4C2312yes—
310C2×(C2×D47)⋊C4C2312yes—
311C2×(C2×D47)⋊C4C23116yescomplemented
312C2×(C2×D47)⋊C4C2318yescomplemented
313C22⋊C4×D47C23116yes—
314C22⋊C4×D47C23116yescomplemented
315C22⋊C4×D47C23116yescomplemented
316C2×C4×Dic47C2312yes—
317C2×C4×Dic47C2312yes—
318C2×C4×Dic47C2312yes—
319C22×Q8×C47C2311yescharacteristic
320C22×D4×C47C2312yes—
321C22×D4×C47C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2312yes—
326#126×C47C23116yescomplemented
327#125×C47C2318yescomplemented
328#124×C47C2318yescomplemented
329#123×C47C23116yescomplemented
330C22⋊Q8×C47C2318yescomplemented
331#121×C47C2318yes—
332C4×Q8×C47C2318yescomplemented
333C4×D4×C47C2318yescomplemented
334C4×D4×C47C23116yescomplemented
335#117×C47C23116yescomplemented
336C2×C4⋊C4×C47C2312yes—
337C2×C4⋊C4×C47C2312yes—
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2312yes—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2312yes—
342C2×C22⋊C4×C47C2312yes—
343C2×C22⋊C4×C47C2312yes—
344C2×C22⋊C4×C47C2312yes—
345C2×C22⋊C4×C47C2312yes—
346C2×C22⋊C4×C47C2312yes—
347C2×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350C2×C42×C47C2311yescharacteristic
351C2×C42×C47C2312yes—
352C2×C42×C47C2318yescomplemented
353C24×C47C2412yes—
354C24×C47C2411yescharacteristic
355C23×D47—24no—
356C23×D47—28no—
357C23×D47—42no—
358C23×D47—42no—
359C23×D47—42no—
360C23×D47—42no—
361C23×D47—44no—
362C23×D47—44no—
363C23×D47#4118yescomplemented
364C23×D47C2411yescharacteristic
365C23×D47C2411yescharacteristic
366C23×D47C2412yes—
367C23×D47C2411yescharacteristic
368C23×D47C2411yescharacteristic
369C23×D47C2418yes—
370C23×D47C2414yes—
371C23×D47C2414yes—
372C2×Q8×C47—24no—
373C2×Q8×C47C2414yes—
374C2×D4×C47—28no—
375C2×D4×C47—24no—
376C2×D4×C47C2418yes—
377C2×D4×C47C2414yes—
378C22×C4×C47—24no—
379C22×C4×C47—24no—
380C22×C4×C47—42no—
381C22×C4×C47—44no—
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2412yes—
388C22×C4×C47C2412yes—
389C22×C4×C47C2414yes—
390C22×C4×C47C2414yes—
391C22×C4×C47C2412yes—
392C22×C4×C47C2414yes—
393C22×C4×C47C2418yes—
394C22×C4×C47C2411yescharacteristic
395C2×C22⋊D47—28no—
396C2×C22⋊D47—28no—
397C2×C22⋊D47—44no—
398C2×C22⋊D47—44no—
399C2×C22⋊D47—44no—
400C2×C22⋊D47C2418yes—
401C2×C22⋊D47C2418yes—
402C2×C22⋊D47C2418yes—
403C2×C22⋊D47C2418yes—
404C2×C22⋊D47C2418yes—
405C22×Dic47—42no—
406C22×Dic47—42no—
407C22×Dic47—44no—
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2412yes—
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2412yes—
412C22×Dic47C2412yes—
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2414yes—
416C22×Dic47C2414yes—
417C22×Dic47C2418yes—
418#10625354—416no—
419Q8×D47—416no—
420#10625352—416no—
421D4×D47—264no—
422D4×D47—416no—
423C2×D188—28no—
424C2×D188—24no—
425C2×D188—24no—
426C2×D188—24no—
427C2×D188—24no—
428C2×D188—232no—
429C2×D188—24no—
430C2×D188—44no—
431C2×D188—44no—
432C2×D188C2418yes—
433C2×D188C2414yes—
434C2×D188C2414yes—
435C2×D188C2414yes—
436C2×D188C2414yes—
437C2×D188C2414yes—
438C2×D188C2418yes—
439C2×D188C2418yes—
440C2×C4×D47—28no—
441C2×C4×D47—24no—
442C2×C4×D47—24no—
443C2×C4×D47—24no—
444C2×C4×D47—24no—
445C2×C4×D47—416no—
446C2×C4×D47—416no—
447C2×C4×D47—42no—
448C2×C4×D47—42no—
449C2×C4×D47—42no—
450C2×C4×D47—42no—
451C2×C4×D47—44no—
452C2×C4×D47—44no—
453C2×C4×D47—44no—
454C2×C4×D47—44no—
455C2×C4×D47C2418yes—
456C2×C4×D47C2414yes—
457C2×C4×D47C2414yes—
458C2×C4×D47C2414yes—
459C2×C4×D47C2414yes—
460C2×C4×D47C2418yes—
461C2×C4×D47C2418yes—
462C2×C4×D47C2414yes—
463C2×C4×D47C2418yes—
464C2×C4×D47C2418yes—
465C2×C4×D47C2414yes—
466C2×C4×D47C2414yes—
467C2×C4×D47C2414yes—
468C2×Dic94—24no—
469C2×Dic94—44no—
470C2×Dic94C2414yes—
471C2×Dic94C2418yes—
472C4⋊C4×C47C2418yes—
473C4⋊C4×C47C2418yes—
474C4⋊C4×C47C2414yes—
475C4⋊C4×C47C2418yes—
476C4⋊C4×C47C2414yes—
477C4⋊C4×C47C2418yes—
478C22⋊C4×C47C2418yes—
479C22⋊C4×C47C2418yes—
480C22⋊C4×C47C2418yes—
481C22⋊C4×C47C2418yes—
482C22⋊C4×C47C2418yes—
483C42×C47C2414yes—
484C42×C47C2414yes—
485C42×C47C2414yes—
486C42×C47C2414yes—
487C42×C47C2418yes—
488C22⋊Dic47C2418yes—
489C22⋊Dic47C2418yes—
490C22⋊Dic47C2418yes—
491(C2×D47)⋊C4C2418yes—
492(C2×D47)⋊C4C2418yes—
493(C2×D47)⋊C4C2414yes—
494(C2×D47)⋊C4C2418yes—
495(C2×D47)⋊C4C2418yes—
496(C2×D47)⋊C4C2414yes—
497(C2×D47)⋊C4C2414yes—
498(C2×D47)⋊C4C2414yes—
499(C2×D47)⋊C4C2418yes—
500(C2×D47)⋊C4C2418yes—
501(C2×D47)⋊C4C2414yes—
502(C2×D47)⋊C4C2414yes—
503(C2×D47)⋊C4C2414yes—
504(C2×D47)⋊C4C2414yes—
505(C2×D47)⋊C4C2418yes—
506(C2×D47)⋊C4C2418yes—
507(C2×D47)⋊C4C2418yes—
508(C2×D47)⋊C4C2418yes—
509(C2×D47)⋊C4C2418yes—
510(C2×D47)⋊C4C2418yes—
511C4⋊Dic47C2414yes—
512C4⋊Dic47C2414yes—
513C4⋊Dic47C2418yes—
514C4⋊Dic47C2414yes—
515C4⋊Dic47C2414yes—
516C4⋊Dic47C2414yes—
517C4⋊Dic47C2414yes—
518C4⋊Dic47C2418yes—
519Dic47⋊C4C2418yes—
520Dic47⋊C4C2418yes—
521Dic47⋊C4C2418yes—
522Dic47⋊C4C2418yes—
523Dic47⋊C4C2418yes—
524Dic47⋊C4C2418yes—
525Dic47⋊C4C2418yes—
526Dic47⋊C4C2418yes—
527C4×Dic47C2418yes—
528C4×Dic47C2418yes—
529C4×Dic47C2418yes—
530C23×C47—22no—
531C23×C47—22no—
532C23×C47—24no—
533C23×C47—24no—
534C23×C47—24no—
535C23×C47C2×#4114yes—
536C23×C47C2514yes—
537C23×C47C2512yes—
538C23×C47C2511yescharacteristic
539C22×D47—22no—
540C22×D47—22no—
541C22×D47—22no—
542C22×D47—22no—
543C22×D47—28no—
544C22×D47—22no—
545C22×D47—22no—
546C22×D47—24no—
547C22×D47—22no—
548C22×D47—22no—
549C22×D47—24no—
550C22×D47—24no—
551C22×D47—22no—
552C22×D47—22no—
553C22×D47—216no—
554C22×D47—44no—
555C22×D47—44no—
556C22×D47—416no—
557C22×D47—44no—
558C22×D47—44no—
559C22×D47—48no—
560C22×D47—48no—
561C22×D47—416no—
562C22×D47—816no—
563C22×D47C2×#4114yes—
564C22×D47C2×#4114yes—
565C22×D47C2×#41116yescomplemented
566C22×D47C2512yes—
567C22×D47C2512yes—
568C22×D47C2514yes—
569C22×D47C2512yes—
570C22×D47C2512yes—
571Q8×C47—28no—
572D4×C47—216no—
573D4×C47—28no—
574C2×C4×C47—24no—
575C2×C4×C47—28no—
576C2×C4×C47—22no—
577C2×C4×C47—22no—
578C2×C4×C47—24no—
579C2×C4×C47—22no—
580C2×C4×C47—22no—
581C2×C4×C47—24no—
582C2×C4×C47—22no—
583C2×C4×C47—28no—
584C2×C4×C47—44no—
585C2×C4×C47—48no—
586C2×C4×C47H(5,𝔽2)14yes—
587C2×C4×C47C2512yes—
588C2×C4×C47C2514yes—
589C2×C4×C47C2514yes—
590C2×C4×C47C2512yes—
591C2×C4×C47C2512yes—
592C2×C4×C47C2512yes—
593C2×C4×C47C2512yes—
594C2×C4×C47C2514yes—
595C2×C4×C47C2512yes—
596C22⋊D47—216no—
597C22⋊D47—216no—
598C22⋊D47—48no—
599C22⋊D47—48no—
600C22⋊D47—48no—
601C2×Dic47—24no—
602C2×Dic47—24no—
603C2×Dic47—22no—
604C2×Dic47—22no—
605C2×Dic47—22no—
606C2×Dic47—22no—
607C2×Dic47—24no—
608C2×Dic47—44no—
609C2×Dic47—44no—
610C2×Dic47—48no—
611C2×Dic47C2514yes—
612C2×Dic47C2512yes—
613C2×Dic47C2512yes—
614C2×Dic47C2514yes—
615C2×Dic47C2514yes—
616C2×Dic47C2512yes—
617C2×Dic47C2512yes—
618D188—28no—
619D188—28no—
620D188—28no—
621D188—28no—
622D188—216no—
623D188—28no—
624D188—48no—
625D188—48no—
626C4×D47—216no—
627C4×D47—28no—
628C4×D47—28no—
629C4×D47—28no—
630C4×D47—28no—
631C4×D47—44no—
632C4×D47—44no—
633C4×D47—44no—
634C4×D47—44no—
635C4×D47—48no—
636C4×D47—48no—
637C4×D47—48no—
638C4×D47—48no—
639Dic94—28no—
640Dic94—48no—
641C2×#3505—471nomaximal, Sylow
642C22×C47—22no—
643C22×C47—22no—
644C22×C47—28no—
645C22×C47—24no—
646C22×C47—24no—
647C22×C47—24no—
648C22×C47—48no—
649C22×C47C22×#4114yes—
650C22×C47C22×#4112yes—
651C22×C47C2×H(5,𝔽2)12yes—
652C22×C47#58512yes—
653C22×C47C2611yescharacteristic
654C2×D47—22no—
655C2×D47—22no—
656C2×D47—22no—
657C2×D47—22no—
658C2×D47—28no—
659C2×D47—28no—
660C2×D47—22no—
661C2×D47—22no—
662C2×D47—24no—
663C2×D47—22no—
664C2×D47—22no—
665C2×D47—24no—
666C2×D47—24no—
667C2×D47—22no—
668C2×D47—22no—
669C2×D47—416no—
670C2×D47—416no—
671C2×D47—44no—
672C2×D47—44no—
673C2×D47—48no—
674C2×D47—816no—
675C2×D47C22×#4114yes—
676C2×D47C22×#4114yes—
677C4×C47—24no—
678C4×C47—22no—
679C4×C47—22no—
680C4×C47—24no—
681C4×C47—22no—
682C4×C47—22no—
683C4×C47—24no—
684C4×C47—22no—
685C4×C47C2×H(5,𝔽2)14yes—
686Dic47—24no—
687Dic47—24no—
688Dic47—22no—
689Dic47—22no—
690Dic47—22no—
691Dic47—22no—
692Dic47—24no—
693#3505—4732no—
694C2×#553—472no—
695C2×#553—471no—
696C2×#553—471no—
697C2×#553—472no—
698C2×#552—471no—
699C2×#552—471no—
700C2×#551—472no—
701C2×#551—472no—
702C2×#548—471no—
703C2×#548—471no—
704C2×#546—471no—
705C2×#546—471no—
706C2×#539—472no—
707C2×#538—472no—
708C2×#534—472no—
709C2×#529—471no—
710C2×#529D4711yescharacteristic, complemented
711C2×#525—471no—
712C2×#525—471no—
713C22×C22⋊Q8—471no—
714C22×#121—471no—
715C2×#518—472no—
716C22×C4×D4—471no—
717C2×C47—24no—
718C2×C47—44no—
719C2×C47#350514yescomplemented
720C2×C47C23×#4111yescharacteristic
721C2×C47C22×H(5,𝔽2)11yescharacteristic
722C2×C47C2×#58511yescharacteristic
723D47—24no—
724D47—24no—
725D47—42no—
726D47—42no—
727D47—44no—
728C22×#41—471no—
729C22×#41—471no—
730C23×Q8—471no—
731C23×D4—472no—
732C23×D4—471no—
733C23×D4—471no—
734C24×C4—471no—
735C24×C4—471no—
736#553—4732no—
737#553—4716no—
738#553—4716no—
739#553—4732no—
740#552—4716no—
741#552—4716no—
742#551—4732no—
743#551—4732no—
744#548—4716no—
745#548—4716no—
746#546—4716no—
747#546—4716no—
748#539—4732no—
749#538—4732no—
750#534—4732no—
751#529—4716no—
752#529C2×D47116yescomplemented
753C2×#126—472no—
754C2×#126—472no—
755C2×#126—472no—
756C2×#126—472no—
757C2×#126—472no—
758C2×#126C2×D4712yescomplemented
759C2×#125—472no—
760C2×#125—472no—
761C2×#125—471no—
762C2×#125C2×D4711yescharacteristic, complemented
763C2×#124—472no—
764C2×#124—471no—
765C2×#124—472no—
766C2×#124C2×D4711yescharacteristic, complemented
767#525—4716no—
768#525—4716no—
769C2×#123—472no—
770C2×#123—472no—
771C2×#123—472no—
772C2×#123—472no—
773C2×#123—472no—
774C2×#123—472no—
775C2×#123—472no—
776C2×#123—472no—
777C2×#123—472no—
778C2×#123C2×D4712yescomplemented
779C2×C22⋊Q8—471no—
780C2×C22⋊Q8—471no—
781C2×C22⋊Q8—471no—
782C2×C22⋊Q8—4716no—
783C2×C22⋊Q8—471no—
784C2×C22⋊Q8—472no—
785C2×C22⋊Q8—471no—
786C2×C22⋊Q8—472no—
787C2×C22⋊Q8—472no—
788C2×C22⋊Q8—472no—
789C2×C22⋊Q8C2×D4711yescharacteristic, complemented
790C2×#121—472no—
791C2×#121—471no—
792C2×#121—471no—
793C2×#121—471no—
794C2×#121—472no—
795C2×#121—4716no—
796C2×#121—471no—
797C2×#121—471no—
798C2×#121—472no—
799C2×#121—472no—
800C2×#121—472no—
801C2×#121—472no—
802C2×#121—472no—
803C2×#121—472no—
804C2×#121C2×D4711yescharacteristic
805C2×#120—472no—
806C2×#120—472no—
807C2×#120—472no—
808C2×#120—472no—
809#518—4732no—
810C2×C4×Q8—471no—
811C2×C4×Q8C2×D4711yescharacteristic, complemented
812C2×C4×D4—472no—
813C2×C4×D4—472no—
814C2×C4×D4—472no—
815C2×C4×D4—472no—
816C2×C4×D4—472no—
817C2×C4×D4—472no—
818C2×C4×D4—472no—
819C2×C4×D4—472no—
820C2×C4×D4—471no—
821C2×C4×D4—471no—
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×C4×D4—471no—
828C2×C4×D4—472no—
829C2×C4×D4—471no—
830C2×C4×D4—4716no—
831C2×C4×D4C2×D4712yescomplemented
832C2×C4×D4C2×D4711yescharacteristic, complemented
833C2×#117—472no—
834C2×#117—471no—
835C2×#117—471no—
836C2×#117—472no—
837C2×#117—472no—
838C2×#117C2×D4712yescomplemented
839C22×C4⋊C4—471no—
840C22×C4⋊C4—471no—
841C22×C4⋊C4—471no—
842C22×C4⋊C4—472no—
843C22×C22⋊C4—471no—
844C22×C22⋊C4—471no—
845C22×C22⋊C4—472no—
846C22×C22⋊C4—472no—
847C22×C22⋊C4—472no—
848C22×C22⋊C4—472no—
849C22×C42C2×D4711yescharacteristic, complemented
850C47C2×#350511yescharacteristic, complemented, Sylow
851C25—471no—
852C25—472no—
853C25—471no—
854C2×#41—478no—
855C2×#41—478no—
856C2×#41—1884no—
857C2×#41—1884no—
858C22×Q8—478no—
859C22×Q8—471no—
860C22×Q8—472no—
861C22×Q8—1884no—
862C22×Q8C22×D4711yescharacteristic
863C22×D4—472no—
864C22×D4—472no—
865C22×D4—472no—
866C22×D4—472no—
867C22×D4—472no—
868C22×D4—4716no—
869C22×D4—478no—
870C22×D4—471no—
871C22×D4—471no—
872C22×D4—472no—
873C22×D4—471no—
874C22×D4—471no—
875C22×D4—478no—
876C22×D4—471no—
877C22×D4—472no—
878C22×D4—472no—
879C22×D4—948no—
880C22×D4—9416no—
881C22×D4—1884no—
882C22×D4C22×D4712yes—
883C22×D4C22×D4711yescharacteristic
884C23×C4—471no—
885C23×C4—471no—
886C23×C4—472no—
887C23×C4—472no—
888C23×C4—471no—
889C23×C4—471no—
890C23×C4—471no—
891C23×C4—471no—
892C23×C4—471no—
893C23×C4—472no—
894C23×C4—472no—
895C23×C4—472no—
896C23×C4—472no—
897C23×C4—471no—
898C23×C4—471no—
899C23×C4—471no—
900C23×C4—478no—
901C23×C4—478no—
902C23×C4—1884no—
903C23×C4—1884no—
904C23×C4C22×D4711yescharacteristic
905C23×C4C22×D4711yescharacteristic
906C23×C4C22×D4711yescharacteristic
907C23×C4C22×D4712yes—
908#126—4716no—
909#126—4716no—
910#126—4716no—
911#126—4716no—
912#126—4716no—
913#126C22×D47116yescomplemented
914#125—4716no—
915#125—4716no—
916#125—478no—
917#125C22×D4718yescomplemented
918#124—4716no—
919#124—478no—
920#124—4716no—
921#124C22×D4718yescomplemented
922#123—4716no—
923#123—4716no—
924#123—4716no—
925#123—4716no—
926#123—4716no—
927#123—4716no—
928#123—4716no—
929#123—4716no—
930#123—4716no—
931#123C22×D47116yescomplemented
932C22⋊Q8—478no—
933C22⋊Q8—478no—
934C22⋊Q8—478no—
935C22⋊Q8—478no—
936C22⋊Q8—4716no—
937C22⋊Q8—478no—
938C22⋊Q8—4716no—
939C22⋊Q8—4716no—
940C22⋊Q8—4716no—
941C22⋊Q8C22×D4718yescomplemented
942#121—4716no—
943#121—478no—
944#121—478no—
945#121—478no—
946#121—4716no—
947#121—478no—
948#121—478no—
949#121—4716no—
950#121—4716no—
951#121—4716no—
952#121—4716no—
953#121—4716no—
954#121—4716no—
955#121C22×D4718yes—
956#120—4716no—
957#120—4716no—
958#120—4716no—
959#120—4716no—
960C4×Q8—478no—
961C4×Q8C22×D4718yescomplemented
962C4×D4—4716no—
963C4×D4—4716no—
964C4×D4—4716no—
965C4×D4—4716no—
966C4×D4—4716no—
967C4×D4—4716no—
968C4×D4—4716no—
969C4×D4—4716no—
970C4×D4—478no—
971C4×D4—478no—
972C4×D4—478no—
973C4×D4—478no—
974C4×D4—478no—
975C4×D4—478no—
976C4×D4—478no—
977C4×D4—478no—
978C4×D4—4716no—
979C4×D4—478no—
980C4×D4C22×D47116yescomplemented
981C4×D4C22×D4718yescomplemented
982#117—4716no—
983#117—478no—
984#117—478no—
985#117—4716no—
986#117—4716no—
987#117C22×D47116yescomplemented
988C2×C4⋊C4—471no—
989C2×C4⋊C4—472no—
990C2×C4⋊C4—471no—
991C2×C4⋊C4—471no—
992C2×C4⋊C4—471no—
993C2×C4⋊C4—471no—
994C2×C4⋊C4—471no—
995C2×C4⋊C4—478no—
996C2×C4⋊C4—472no—
997C2×C4⋊C4—472no—
998C2×C4⋊C4—472no—
999C2×C4⋊C4—472no—
1000C2×C4⋊C4—472no—
1001C2×C4⋊C4—472no—
1002C2×C4⋊C4—472no—
1003C2×C4⋊C4—472no—
1004C2×C4⋊C4—472no—
1005C2×C4⋊C4—478no—
1006C2×C4⋊C4—4716no—
1007C2×C4⋊C4—478no—
1008C2×C4⋊C4C22×D4711yescharacteristic
1009C2×C4⋊C4C22×D4711yescharacteristic
1010C2×C4⋊C4C22×D4712yes—
1011C2×C4⋊C4C22×D4712yes—
1012C2×C4⋊C4C22×D4712yes—
1013C2×C4⋊C4C22×D4712yes—
1014C2×C22⋊C4—472no—
1015C2×C22⋊C4—472no—
1016C2×C22⋊C4—472no—
1017C2×C22⋊C4—471no—
1018C2×C22⋊C4—471no—
1019C2×C22⋊C4—472no—
1020C2×C22⋊C4—472no—
1021C2×C22⋊C4—472no—
1022C2×C22⋊C4—471no—
1023C2×C22⋊C4—471no—
1024C2×C22⋊C4—478no—
1025C2×C22⋊C4—471no—
1026C2×C22⋊C4—471no—
1027C2×C22⋊C4—472no—
1028C2×C22⋊C4—472no—
1029C2×C22⋊C4—471no—
1030C2×C22⋊C4—471no—
1031C2×C22⋊C4—478no—
1032C2×C22⋊C4—4716no—
1033C2×C22⋊C4—472no—
1034C2×C22⋊C4—472no—
1035C2×C22⋊C4—472no—
1036C2×C22⋊C4—472no—
1037C2×C22⋊C4—472no—
1038C2×C22⋊C4—472no—
1039C2×C22⋊C4—472no—
1040C2×C22⋊C4—4716no—
1041C2×C22⋊C4—4716no—
1042C2×C22⋊C4—4716no—
1043C2×C22⋊C4C22×D4712yes—
1044C2×C22⋊C4C22×D4712yes—
1045C2×C22⋊C4C22×D4712yes—
1046C2×C22⋊C4C22×D4712yes—
1047C2×C22⋊C4C22×D4712yes—
1048C2×C42—472no—
1049C2×C42—472no—
1050C2×C42—472no—
1051C2×C42C22×D4711yescharacteristic
1052C2×C42C22×D4712yes—
1053C2×C42C22×D4711yescharacteristic
1054C2×C42C22×D4711yescharacteristic
1055C2×C42C22×D4711yescharacteristic
1056C2×C42C22×D4718yescomplemented
1057C24—471no—
1058C24—471no—
1059C24—478no—
1060C24—474no—
1061C24—471no—
1062C24—471no—
1063C24—472no—
1064C24—478no—
1065C24—474no—
1066C24—948no—
1067C24—944no—
1068C24—1884no—
1069C24—1884no—
1070C24—1882no—
1071C24—1882no—
1072C24—1882no—
1073C24—1882no—
1074C24C23×D4712yes—
1075C24C23×D4711yescharacteristic
1076#41—18816no—
1077#41—18816no—
1078C2×Q8—24no—
1079C2×Q8—474no—
1080C2×Q8—478no—
1081C2×Q8—944no—
1082C2×Q8—1884no—
1083C2×Q8—18816no—
1084C2×Q8C23×D4714yes—
1085C2×D4—28no—
1086C2×D4—24no—
1087C2×D4—478no—
1088C2×D4—478no—
1089C2×D4—478no—
1090C2×D4—478no—
1091C2×D4—478no—
1092C2×D4—474no—
1093C2×D4—474no—
1094C2×D4—478no—
1095C2×D4—474no—
1096C2×D4—474no—
1097C2×D4—474no—
1098C2×D4—478no—
1099C2×D4—478no—
1100C2×D4—944no—
1101C2×D4—944no—
1102C2×D4—944no—
1103C2×D4—944no—
1104C2×D4—9432no—
1105C2×D4—948no—
1106C2×D4—9464no—
1107C2×D4—948no—
1108C2×D4—948no—
1109C2×D4—944no—
1110C2×D4—1884no—
1111C2×D4—1884no—
1112C2×D4—18816no—
1113C2×D4—1884no—
1114C2×D4—1884no—
1115C2×D4—1884no—
1116C2×D4C23×D4718yes—
1117C2×D4C23×D4714yes—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—42no—
1121C22×C4—44no—
1122C22×C4—472no—
1123C22×C4—471no—
1124C22×C4—471no—
1125C22×C4—472no—
1126C22×C4—472no—
1127C22×C4—471no—
1128C22×C4—471no—
1129C22×C4—474no—
1130C22×C4—474no—
1131C22×C4—478no—
1132C22×C4—478no—
1133C22×C4—474no—
1134C22×C4—474no—
1135C22×C4—474no—
1136C22×C4—474no—
1137C22×C4—474no—
1138C22×C4—478no—
1139C22×C4—478no—
1140C22×C4—478no—
1141C22×C4—478no—
1142C22×C4—474no—
1143C22×C4—474no—
1144C22×C4—474no—
1145C22×C4—948no—
1146C22×C4—944no—
1147C22×C4—944no—
1148C22×C4—944no—
1149C22×C4—944no—
1150C22×C4—18816no—
1151C22×C4—18816no—
1152C22×C4—1884no—
1153C22×C4—1884no—
1154C22×C4—1882no—
1155C22×C4—1882no—
1156C22×C4—1882no—
1157C22×C4—1882no—
1158C22×C4—1884no—
1159C22×C4—1884no—
1160C22×C4—1882no—
1161C22×C4—1882no—
1162C22×C4—1884no—
1163C22×C4C23×D4714yes—
1164C22×C4C23×D4714yes—
1165C22×C4C23×D4711yescharacteristic
1166C22×C4C23×D4712yes—
1167C22×C4C23×D4712yes—
1168C22×C4C23×D4711yescharacteristic
1169C22×C4C23×D4711yescharacteristic
1170C22×C4C23×D4711yescharacteristic
1171C22×C4C23×D4711yescharacteristic
1172C22×C4C23×D4712yes—
1173C22×C4C23×D4714yes—
1174C22×C4C23×D4718yes—
1175C22×C4C23×D4711yescharacteristic
1176C4⋊C4—478no—
1177C4⋊C4—478no—
1178C4⋊C4—478no—
1179C4⋊C4—478no—
1180C4⋊C4—478no—
1181C4⋊C4—478no—
1182C4⋊C4—478no—
1183C4⋊C4—478no—
1184C4⋊C4—474no—
1185C4⋊C4—474no—
1186C4⋊C4—474no—
1187C4⋊C4—474no—
1188C4⋊C4—474no—
1189C4⋊C4—474no—
1190C4⋊C4—478no—
1191C4⋊C4—478no—
1192C4⋊C4C23×D4714yes—
1193C4⋊C4C23×D4714yes—
1194C4⋊C4C23×D4718yes—
1195C4⋊C4C23×D4718yes—
1196C4⋊C4C23×D4718yes—
1197C4⋊C4C23×D4718yes—
1198C22⋊C4—478no—
1199C22⋊C4—478no—
1200C22⋊C4—478no—
1201C22⋊C4—474no—
1202C22⋊C4—474no—
1203C22⋊C4—478no—
1204C22⋊C4—478no—
1205C22⋊C4—478no—
1206C22⋊C4—474no—
1207C22⋊C4—474no—
1208C22⋊C4—474no—
1209C22⋊C4—474no—
1210C22⋊C4—478no—
1211C22⋊C4—478no—
1212C22⋊C4—474no—
1213C22⋊C4—474no—
1214C22⋊C4—478no—
1215C22⋊C4—478no—
1216C22⋊C4—478no—
1217C22⋊C4—478no—
1218C22⋊C4—478no—
1219C22⋊C4—478no—
1220C22⋊C4—478no—
1221C22⋊C4C23×D4718yes—
1222C22⋊C4C23×D4718yes—
1223C22⋊C4C23×D4718yes—
1224C22⋊C4C23×D4718yes—
1225C22⋊C4C23×D4718yes—
1226C42—478no—
1227C42—478no—
1228C42—478no—
1229C42C23×D4714yes—
1230C42C23×D4714yes—
1231C42C23×D4714yes—
1232C42C23×D4714yes—
1233C42C23×D4718yes—
1234C23—22no—
1235C23—22no—
1236C23—24no—
1237C23—24no—
1238C23—24no—
1239C23—474no—
1240C23—474no—
1241C23—472no—
1242C23—472no—
1243C23—4716no—
1244C23—472no—
1245C23—472no—
1246C23—474no—
1247C23—9416no—
1248C23—942no—
1249C23—942no—
1250C23—942no—
1251C23—942no—
1252C23—948no—
1253C23—944no—
1254C23—942no—
1255C23—942no—
1256C23—942no—
1257C23—942no—
1258C23—944no—
1259C23—944no—
1260C23—942no—
1261C23—942no—
1262C23—37616no—
1263C23—1888no—
1264C23—1888no—
1265C23—1884no—
1266C23—1884no—
1267C23—1884no—
1268C23—1884no—
1269C23—18816no—
1270C23—18816no—
1271C23#41×D4714yes—
1272C23C24×D4714yes—
1273C23C24×D4712yes—
1274C23C24×D4711yescharacteristic
1275Q8—28no—
1276Q8—948no—
1277Q8—1888no—
1278D4—216no—
1279D4—28no—
1280D4—948no—
1281D4—948no—
1282D4—948no—
1283D4—948no—
1284D4—9416no—
1285D4—9416no—
1286D4—9416no—
1287D4—948no—
1288D4—1888no—
1289D4—1888no—
1290D4—1888no—
1291D4—1888no—
1292D4—1888no—
1293C2×C4—28no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—24no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—24no—
1302C2×C4—28no—
1303C2×C4—44no—
1304C2×C4—48no—
1305C2×C4—474no—
1306C2×C4—472no—
1307C2×C4—472no—
1308C2×C4—474no—
1309C2×C4—474no—
1310C2×C4—472no—
1311C2×C4—472no—
1312C2×C4—9416no—
1313C2×C4—944no—
1314C2×C4—942no—
1315C2×C4—942no—
1316C2×C4—942no—
1317C2×C4—942no—
1318C2×C4—944no—
1319C2×C4—944no—
1320C2×C4—948no—
1321C2×C4—948no—
1322C2×C4—948no—
1323C2×C4—948no—
1324C2×C4—1888no—
1325C2×C4—1888no—
1326C2×C4—1884no—
1327C2×C4—1884no—
1328C2×C4—1884no—
1329C2×C4—1884no—
1330C2×C4—1888no—
1331C2×C4—1888no—
1332C2×C4—1884no—
1333C2×C4—1884no—
1334C2×C4—1888no—
1335C2×C4#1309407014yes—
1336C2×C4C24×D4712yes—
1337C2×C4C24×D4714yes—
1338C2×C4C24×D4714yes—
1339C2×C4C24×D4712yes—
1340C2×C4C24×D4712yes—
1341C2×C4C24×D4712yes—
1342C2×C4C24×D4712yes—
1343C2×C4C24×D4714yes—
1344C2×C4C24×D4712yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—24no—
1349C22—24no—
1350C22—24no—
1351C22—48no—
1352C22—474no—
1353C22—474no—
1354C22—942no—
1355C22—942no—
1356C22—942no—
1357C22—942no—
1358C22—948no—
1359C22—948no—
1360C22—944no—
1361C22—942no—
1362C22—942no—
1363C22—942no—
1364C22—942no—
1365C22—944no—
1366C22—944no—
1367C22—942no—
1368C22—942no—
1369C22—37616no—
1370C22—18816no—
1371C22—18816no—
1372C22—1888no—
1373C22—1884no—
1374C22—1884no—
1375C22C2×#41×D4714yes—
1376C22C2×#41×D4712yes—
1377C22C2×#1309407012yes—
1378C22#1568995912yes—
1379C22C25×D4711yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—24no—
1383C4—22no—
1384C4—24no—
1385C4—22no—
1386C4—22no—
1387C4—24no—
1388C4—944no—
1389C4—942no—
1390C4—942no—
1391C4—942no—
1392C4—942no—
1393C4—944no—
1394C4—944no—
1395C4C2×#1309407014yes—
1396C2—24no—
1397C2—44no—
1398C2—944no—
1399C2—944no—
1400C2—1884no—
1401C2—1882no—
1402C2—1882no—
1403C2#2025722314yesdirect product factor
1404C2C22×#41×D4711yescharacteristic
1405C2C22×#1309407011yescharacteristic
1406C2C2×#1568995911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#529C2
socleC23×C47C25
hypercenterC2×#529D47
hypocenterC47C2×#3505
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #20257223C2direct (N × H)
2. C2×#15689826C2semidirect
3. C2×#15689824C2semidirect
4. C2×#15689823C2semidirect
5. C2×#15689817C2semidirect
6. C2×#15689814C2semidirect
7. C2×#15689811C2semidirect
8. C2×#15689798C2semidirect
9. C2×#15689797C2semidirect
10. C2×#15689785C2semidirect
11. C2×#15689781C2semidirect
12. C2×#15689768C2semidirect
13. C2×#15689766C2semidirect
14. C2×#15689717C2semidirect
15. C2×#15689706C2semidirect
16. C2×#15689684C2semidirect
17. C2×#15689657C2semidirect
18. C2×#15689636C2semidirect
19. C2×#15689633C2semidirect
20. C2×C22⋊Q8×D47C2semidirect
21. C2×#121×D47C2semidirect
22. C2×#15689595C2semidirect
23. C22×C4×D188C2semidirect
24. C2×C47×#529C2semidirect
25. C22×#10625354C22semidirect
26. C22×#10625352C22semidirect
27. C22×Q8×D47C22semidirect
30. C22×D4×D47C22semidirect
32. C23×C4×D47C22semidirect
33. #15689826C22semidirect
34. #15689824C22semidirect
35. #15689823C22semidirect
36. #15689817C22semidirect
37. #15689814C22semidirect
38. #15689811C22semidirect
39. #15689798C22semidirect
40. #15689797C22semidirect
41. #15689785C22semidirect
42. #15689781C22semidirect
43. #15689768C22semidirect
44. #15689766C22semidirect
45. #15689717C22semidirect
46. #15689706C22semidirect
47. #15689684C22semidirect
48. #15689657C22semidirect
49. C2×#13094019C22semidirect
50. C2×#13094019C22semidirect
51. C2×#13094018C22semidirect
52. C2×#13094018C22semidirect
53. C2×#13094017C22semidirect
54. C2×#13094016C22semidirect
55. C2×#13094015C22semidirect
56. C2×#13094014C22semidirect
57. C2×#13094012C22semidirect
58. C2×#13094012C22semidirect
59. C2×#13094010C22semidirect
60. #15689636C22semidirect
61. #15689633C22semidirect
64. C2×#13094009C22semidirect
65. C2×#13094009C22semidirect
66. C2×#13094008C22semidirect
67. C2×#13094007C22semidirect
68. C2×#13094007C22semidirect
69. C2×#13094006C22semidirect
70. C2×#13094006C22semidirect
71. C2×#13094004C22semidirect
72. C2×#13094004C22semidirect
73. C2×#13094004C22semidirect
74. C2×#13094003C22semidirect
75. C2×#13094002C22semidirect
76. C2×#13094001C22semidirect
77. C2×#13094001C22semidirect
78. C2×#13094000C22semidirect
79. C2×#13094000C22semidirect
80. C22⋊Q8×D47C22semidirect
81. C2×#13093999C22semidirect
82. C2×#13093999C22semidirect
83. C2×#13093999C22semidirect
84. C2×#13093999C22semidirect
86. C2×#13093998C22semidirect
87. C2×#13093997C22semidirect
88. C2×#13093997C22semidirect
89. C2×#13093997C22semidirect
90. C2×#13093997C22semidirect
92. C2×#13093995C22semidirect
93. C2×#13093995C22semidirect
94. #121×D47C22semidirect
97. C2×#13093994C22semidirect
98. C2×#13093992C22semidirect
99. #15689595C22semidirect
100. C2×C4×Dic94C22semidirect
105. C2×C4×D188C22semidirect
106. C2×C4×D188C22semidirect
107. C2×C4×D188C22semidirect
108. C2×C4×D188C22semidirect
109. C2×C4×D188C22semidirect
110. C2×C4×D188C22semidirect
111. C2×C4×D188C22semidirect
112. C2×D4×Dic47C22semidirect
113. C2×#13093986C22semidirect
114. C2×#13093986C22semidirect
115. C2×C4×C22⋊D47C22semidirect
116. C2×C4×C22⋊D47C22semidirect
117. C2×(C22⋊D47)⋊C4C22semidirect
118. C2×(C22⋊D47)⋊C4C22semidirect
119. C2×(C22⋊D47)⋊C4C22semidirect
120. C2×#13093982C22semidirect
121. C2×#13093982C22semidirect
122. C2×#13093982C22semidirect
123. C2×#13093981C22semidirect
124. C2×#13093981C22semidirect
125. C22×C4⋊Dic47C22semidirect
126. C2×C4⋊C4×D47C22semidirect
127. C2×C4⋊C4×D47C22semidirect
128. C2×C4⋊C4×D47C22semidirect
130. C22×(C2×D47)⋊C4C22semidirect
131. C22×(C2×D47)⋊C4C22semidirect
133. C2×C22⋊C4×D47C22semidirect
134. C2×C22⋊C4×D47C22semidirect
135. C47×#529C22semidirect
136. C2×#126×C47C22semidirect
137. C2×#125×C47C22semidirect
138. C2×#124×C47C22semidirect
139. C2×#123×C47C22semidirect
140. C2×C22⋊Q8×C47C22semidirect
142. C2×C4×Q8×C47C22semidirect
143. C2×C4×D4×C47C22semidirect
144. C2×C4×D4×C47C22semidirect
145. C2×#117×C47C22semidirect
146. C22×C42×C47C22semidirect
151. C2×#10625354C23semidirect
153. C2×#10625352C23semidirect
157. C2×Q8×D47C23semidirect
176. C2×D4×D47C23semidirect
196. C22×C4×D47C23semidirect
197. #13094019C23semidirect
198. #13094019C23semidirect
199. #13094018C23semidirect
200. #13094018C23semidirect
201. #13094017C23semidirect
202. #13094016C23semidirect
203. #13094015C23semidirect
204. #13094014C23semidirect
205. #13094012C23semidirect
206. #13094012C23semidirect
207. #13094010C23semidirect
210. #13094009C23semidirect
211. #13094009C23semidirect
212. #13094008C23semidirect
213. #13094007C23semidirect
214. #13094007C23semidirect
215. #13094006C23semidirect
216. #13094006C23semidirect
217. #13094004C23semidirect
218. #13094004C23semidirect
219. #13094004C23semidirect
220. #13094003C23semidirect
221. #13094002C23semidirect
222. #13094001C23semidirect
223. #13094001C23semidirect
224. #13094000C23semidirect
225. #13094000C23semidirect
226. #13093999C23semidirect
227. #13093999C23semidirect
228. #13093999C23semidirect
229. #13093999C23semidirect
231. #13093998C23semidirect
232. #13093997C23semidirect
233. #13093997C23semidirect
234. #13093997C23semidirect
235. #13093997C23semidirect
237. #13093995C23semidirect
238. #13093995C23semidirect
241. #13093994C23semidirect
242. #13093992C23semidirect
243. C4×Dic94C23semidirect
248. C4×D188C23semidirect
249. C4×D188C23semidirect
250. C4×D188C23semidirect
251. C4×D188C23semidirect
252. C4×D188C23semidirect
253. C4×D188C23semidirect
254. D4×Dic47C23semidirect
255. #13093986C23semidirect
256. #13093986C23semidirect
257. C4×C22⋊D47C23semidirect
258. C4×C22⋊D47C23semidirect
259. (C22⋊D47)⋊C4C23semidirect
260. (C22⋊D47)⋊C4C23semidirect
261. (C22⋊D47)⋊C4C23semidirect
262. #13093982C23semidirect
263. #13093982C23semidirect
264. #13093982C23semidirect
265. #13093981C23semidirect
266. #13093981C23semidirect
275. C2×C4⋊Dic47C23semidirect
284. C4⋊C4×D47C23semidirect
285. C4⋊C4×D47C23semidirect
286. C4⋊C4×D47C23semidirect
311. C2×(C2×D47)⋊C4C23semidirect
312. C2×(C2×D47)⋊C4C23semidirect
314. C22⋊C4×D47C23semidirect
315. C22⋊C4×D47C23semidirect
326. #126×C47C23semidirect
327. #125×C47C23semidirect
328. #124×C47C23semidirect
329. #123×C47C23semidirect
330. C22⋊Q8×C47C23semidirect
332. C4×Q8×C47C23semidirect
333. C4×D4×C47C23semidirect
334. C4×D4×C47C23semidirect
335. #117×C47C23semidirect
352. C2×C42×C47C23semidirect
363. C23×D47#41semidirect
565. C22×D47C2×#41semidirect
710. C2×#529D47semidirect
719. C2×C47#3505semidirect
752. #529C2×D47semidirect
758. C2×#126C2×D47semidirect
762. C2×#125C2×D47semidirect
766. C2×#124C2×D47semidirect
778. C2×#123C2×D47semidirect
789. C2×C22⋊Q8C2×D47semidirect
811. C2×C4×Q8C2×D47semidirect
831. C2×C4×D4C2×D47semidirect
832. C2×C4×D4C2×D47semidirect
838. C2×#117C2×D47semidirect
849. C22×C42C2×D47semidirect
850. C47C2×#3505semidirect
913. #126C22×D47semidirect
917. #125C22×D47semidirect
921. #124C22×D47semidirect
931. #123C22×D47semidirect
941. C22⋊Q8C22×D47semidirect
961. C4×Q8C22×D47semidirect
980. C4×D4C22×D47semidirect
981. C4×D4C22×D47semidirect
987. #117C22×D47semidirect
1056. C2×C42C22×D47semidirect
1403. C2#20257223direct (N × H)

Maximal subgroups

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

subgroupindex
#202572232
C2×#156898262
C2×#156898242
C2×#156898232
C2×#156898172
C2×#156898142
C2×#156898112
C2×#156897982
C2×#156897972
C2×#156897852
C2×#156897812
C2×#156897682
C2×#156897662
C2×#156897172
C2×#156897062
C2×#156896842
C2×#156896572
C2×#156896362
C2×#156896332
C2×C22⋊Q8×D472
C2×#121×D472
C2×#156895952
C22×C4×D1882
C2×C47×#5292
C2×#350547