Finite Group Databasebeta

← C2×#546×D47 #27123196

Subgroups — C2×#546×D47 #27123196

Order 12032.

14462 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D47C211yesmaximal, characteristic, complemented
2C23×D4×D47C211yesmaximal, characteristic, complemented
3C2×#15689770C211yesmaximal, characteristic, complemented
4C2×#15689769C211yesmaximal, characteristic, complemented
5C2×#15689768C211yesmaximal, characteristic, complemented
6C2×#15689767C211yesmaximal, characteristic, complemented
7C2×#15689766C211yesmaximal, characteristic, complemented
8C2×#15689765C212yesmaximal, complemented
9C2×#15689764C211yesmaximal, characteristic, complemented
10C2×#15689763C212yesmaximal, complemented
11C2×#15689762C212yesmaximal, complemented
12C2×#15689761C211yesmaximal, characteristic, complemented
13C2×#15689760C212yesmaximal, complemented
14#546×D47C2132yesmaximal, direct product factor
15C2×#124×D47C211yesmaximal, characteristic, complemented
16C2×#123×D47C212yesmaximal, complemented
17C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
18C2×#121×D47C212yesmaximal, complemented
19C2×#121×D47C211yesmaximal, characteristic, complemented
20C2×#120×D47C212yesmaximal, complemented
21C2×C4×D4×D47C211yesmaximal, characteristic, complemented
22C2×C4×D4×D47C211yesmaximal, characteristic, complemented
23C22×C22⋊C4×D47C212yesmaximal, complemented
24C2×C47×#546C211yesmaximal, characteristic, complemented
25C25×D47C2212yes—
26C22×#10625354C2211yescharacteristic, complemented
27C22×#10625350C2212yescomplemented
28C22×#10625350C2211yescharacteristic, complemented
29C22×#10625352C2211yescharacteristic, complemented
30C22×#10625352C2212yescomplemented
31C2×#41×D47—216no—
32C2×#41×D47C22116yescomplemented
33C22×Q8×D47C2211yescharacteristic, complemented
34C23×D188C2211yescharacteristic, complemented
35C23×C22⋊D47C2212yescomplemented
36C22×D4×D47—216no—
37C22×D4×D47C2211yescharacteristic
38C22×D4×D47C2212yes—
39C22×D4×D47C2211yescharacteristic
40C22×D4×D47C2211yescharacteristic
41C22×D4×D47C2211yescharacteristic, complemented
42C22×D4×D47C2212yescomplemented
43C22×D4×D47C2211yescharacteristic, complemented
44C22×D4×D47C22116yescomplemented
45C22×D4×D47C2212yescomplemented
46C22×D4×D47C2212yescomplemented
47C23×C4×D47C2211yescharacteristic
48C23×C4×D47C2212yescomplemented
49C23×C4×D47C2211yescharacteristic, complemented
50C23×C4×D47C2212yescomplemented
51#15689770C22116yescomplemented
52#15689769C22116yescomplemented
53#15689768C22116yescomplemented
54#15689767C22116yescomplemented
55#15689766C22116yescomplemented
56#15689765C22132yescomplemented
57#15689764C22116yescomplemented
58#15689763C22132yescomplemented
59#15689762C22132yescomplemented
60#15689761C22116yescomplemented
61#15689760C22132yescomplemented
62C2×#13094013C2211yescharacteristic, complemented
63C2×#13094012C2211yescharacteristic, complemented
64C2×#13094011C2211yescharacteristic, complemented
65C2×#13094010C2212yescomplemented
66C2×#13094010C2212yescomplemented
67#124×D47C22116yescomplemented
68C2×#13094009C2212yescomplemented
69C2×#13094009C2212yescomplemented
70C2×#13094008C2212yescomplemented
71C2×#13094007C2212yescomplemented
72C2×#13094006C2212yescomplemented
73C2×#13094006C2212yescomplemented
74C2×#13094005C2212yescomplemented
75#123×D47C22132yescomplemented
76C2×#13094004C2211yescharacteristic, complemented
77C2×#13094003C2211yescharacteristic, complemented
78C2×#13094002C2212yescomplemented
79C2×#13094001C2212yescomplemented
80C2×#13094000C2211yescharacteristic, complemented
81C22⋊Q8×D47C22116yescomplemented
82C2×#13093999C2212yescomplemented
83C2×#13093999C2211yescharacteristic, complemented
84C2×#13093998C2212yescomplemented
85C2×#13093998C2211yescharacteristic, complemented
86C2×#13093997C2212yescomplemented
87C2×#13093997C2212yescomplemented
88C2×#13093997C2212yescomplemented
89C2×#13093996C2212yescomplemented
90C2×#13093996C2212yescomplemented
91C2×#13093996C2212yescomplemented
92C2×#13093995C2211yescharacteristic, complemented
93C2×#13093995C2212yescomplemented
94#121×D47C22132yescomplemented
95#121×D47C22116yescomplemented
96C2×#13093994C2212yescomplemented
97C2×#13093994C2212yescomplemented
98C2×#13093994C2212yescomplemented
99C2×#13093993C2212yescomplemented
100C2×#13093992C2212yescomplemented
101C2×#13093992C2212yescomplemented
102C2×#13093992C2212yescomplemented
103#120×D47C22132yescomplemented
104C2×C4×D188C2211yescharacteristic, complemented
105C2×C4×D188C2211yescharacteristic, complemented
106C2×D4×Dic47C2211yescharacteristic, complemented
107C2×D4×Dic47C2211yescharacteristic, complemented
108C2×#13093986C2211yescharacteristic, complemented
109C2×#13093986C2211yescharacteristic, complemented
110C2×C4×C22⋊D47C2211yescharacteristic, complemented
111C2×C4×C22⋊D47C2211yescharacteristic, complemented
112C2×C4×C22⋊D47C2212yescomplemented
113C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
114C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
115C2×(C22⋊D47)⋊C4C2212yescomplemented
116C4×D4×D47C22116yescomplemented
117C4×D4×D47C22116yescomplemented
118C2×C4⋊C4×D47C2211yescharacteristic, complemented
119C2×C4⋊C4×D47C2211yescharacteristic, complemented
120C2×C4⋊C4×D47C2212yescomplemented
121C22×C22⋊Dic47C2212yescomplemented
122C22×(C2×D47)⋊C4C2212yescomplemented
123C22×(C2×D47)⋊C4C2212yescomplemented
124C2×C22⋊C4×D47C2211yescharacteristic
125C2×C22⋊C4×D47C2212yes—
126C2×C22⋊C4×D47C2212yescomplemented
127C2×C22⋊C4×D47C2212yescomplemented
128C2×C22⋊C4×D47C22132yescomplemented
129C2×C22⋊C4×D47C2212yescomplemented
130C2×C22⋊C4×D47C2212yescomplemented
131C2×C22⋊C4×D47C2212yescomplemented
132C2×C22⋊C4×D47C2212yescomplemented
133C2×C22⋊C4×D47C2212yescomplemented
134C2×C22⋊C4×D47C2211yescharacteristic, complemented
135C2×C22⋊C4×D47C2212yescomplemented
136C2×C42×D47C2211yescharacteristic, complemented
137C22×#41×C47C2211yescharacteristic, complemented
138C23×D4×C47C2211yescharacteristic, complemented
139C47×#546C22116yescomplemented
140C2×#124×C47C2211yescharacteristic, complemented
141C2×#123×C47C2212yescomplemented
142C2×C22⋊Q8×C47C2211yescharacteristic, complemented
143C2×#121×C47C2212yescomplemented
144C2×#121×C47C2211yescharacteristic, complemented
145C2×#120×C47C2212yescomplemented
146C2×C4×D4×C47C2211yescharacteristic, complemented
147C2×C4×D4×C47C2211yescharacteristic, complemented
148C22×C22⋊C4×C47C2212yescomplemented
149C24×D47—216no—
150C24×D47—216no—
151C24×D47—48no—
152C24×D47C2312yes—
153C24×D47C2311yescharacteristic
154C24×D47C23116yes—
155C24×D47C2312yes—
156C24×D47C2312yes—
157C24×D47C2312yes—
158C24×D47C2312yes—
159C24×D47C2311yescharacteristic
160C2×#10625354—28no—
161C2×#10625354C2318yescomplemented
162C2×#10625350—216no—
163C2×#10625350—28no—
164C2×#10625350C2318yescomplemented
165C2×#10625350C23116yescomplemented
166C2×#10625352—28no—
167C2×#10625352—216no—
168C2×#10625352C23116yescomplemented
169C2×#10625352C2318yescomplemented
170#41×D47—2128no—
171C22×Dic94C2312yescomplemented
172C22×Dic94C2311yescharacteristic, complemented
173C2×Q8×D47—28no—
174C2×Q8×D47C2318yescomplemented
175C22×D188—28no—
176C22×D188C2311yescharacteristic
177C22×D188C2312yes—
178C22×D188C2311yescharacteristic
179C22×D188C2311yescharacteristic
180C22×D188C2318yescomplemented
181C22×D188C2312yescomplemented
182C22×D188C2312yescomplemented
183C22×C22⋊D47—216no—
184C22×C22⋊D47C2311yescharacteristic
185C22×C22⋊D47C2311yescharacteristic
186C22×C22⋊D47C2312yes—
187C22×C22⋊D47C2312yes—
188C22×C22⋊D47C2312yes—
189C22×C22⋊D47C2312yes—
190C22×C22⋊D47C23116yescomplemented
191C22×C22⋊D47C2312yescomplemented
192C22×C22⋊D47C2312yescomplemented
193C22×C22⋊D47C2312yescomplemented
194C22×C22⋊D47C2312yescomplemented
195C2×D4×D47—216no—
196C2×D4×D47—216no—
197C2×D4×D47—28no—
198C2×D4×D47—28no—
199C2×D4×D47—216no—
200C2×D4×D47—2128no—
201C2×D4×D47—28no—
202C2×D4×D47—28no—
203C2×D4×D47—48no—
204C2×D4×D47D4116yescomplemented
205C2×D4×D47C2318yes—
206C2×D4×D47C23116yes—
207C2×D4×D47C2318yes—
208C2×D4×D47C2318yes—
209C2×D4×D47C2318yescomplemented
210C2×D4×D47C23116yescomplemented
211C2×D4×D47C2318yescomplemented
212C2×D4×D47C23116yescomplemented
213C2×D4×D47C23116yescomplemented
214C23×Dic47C2311yescharacteristic
215C23×Dic47C2312yescomplemented
216C23×Dic47C2311yescharacteristic, complemented
217C23×Dic47C2312yescomplemented
218C22×C4×D47—216no—
219C22×C4×D47—28no—
220C22×C4×D47—28no—
221C22×C4×D47—48no—
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2312yes—
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2312yes—
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2318yes—
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C23116yescomplemented
233C22×C4×D47C2318yescomplemented
234C22×C4×D47C2312yescomplemented
235C22×C4×D47C2312yescomplemented
236C22×C4×D47C2311yescharacteristic, complemented
237C22×C4×D47C2311yescharacteristic, complemented
238C22×C4×D47C23116yescomplemented
239C22×C4×D47C2312yescomplemented
240C22×C4×D47C2312yescomplemented
241#13094013C2318yescomplemented
242#13094012C2318yescomplemented
243#13094011C2318yescomplemented
244#13094010C23116yescomplemented
245#13094010C23116yescomplemented
246#13094009C23116yescomplemented
247#13094009C23116yescomplemented
248#13094008C23116yescomplemented
249#13094007C23116yescomplemented
250#13094006C23116yescomplemented
251#13094006C23116yescomplemented
252#13094005C23116yescomplemented
253#13094004C2318yescomplemented
254#13094003C2318yescomplemented
255#13094002C23116yescomplemented
256#13094001C23116yescomplemented
257#13094000C2318yescomplemented
258#13093999C23116yescomplemented
259#13093999C2318yescomplemented
260#13093998C2318yescomplemented
261#13093998C23116yescomplemented
262#13093997C23116yescomplemented
263#13093997C23116yescomplemented
264#13093997C23116yescomplemented
265#13093996C23116yescomplemented
266#13093996C23116yescomplemented
267#13093996C23116yescomplemented
268#13093995C23116yescomplemented
269#13093995C2318yescomplemented
270#13093994C23116yescomplemented
271#13093994C23116yescomplemented
272#13093994C23116yescomplemented
273#13093993C23116yescomplemented
274#13093992C23116yescomplemented
275#13093992C23116yescomplemented
276#13093992C23116yescomplemented
277C4×D188C2318yescomplemented
278C4×D188C2318yescomplemented
279D4×Dic47C2318yescomplemented
280D4×Dic47C2318yescomplemented
281#13093986C2318yescomplemented
282#13093986C2318yescomplemented
283C4×C22⋊D47C2318yescomplemented
284C4×C22⋊D47C2318yescomplemented
285C4×C22⋊D47C23116yescomplemented
286(C22⋊D47)⋊C4C2318yescomplemented
287(C22⋊D47)⋊C4C2318yescomplemented
288(C22⋊D47)⋊C4C23116yescomplemented
289C2×C4⋊Dic47C2311yescharacteristic, complemented
290C2×C4⋊Dic47C2311yescharacteristic, complemented
291C2×C4⋊Dic47C2312yescomplemented
292C2×Dic47⋊C4C2312yescomplemented
293C2×Dic47⋊C4C2311yescharacteristic, complemented
294C2×Dic47⋊C4C2311yescharacteristic, complemented
295C2×Dic47⋊C4C2312yescomplemented
296C2×Dic47⋊C4C2312yescomplemented
297C4⋊C4×D47C2318yescomplemented
298C4⋊C4×D47C2318yescomplemented
299C4⋊C4×D47C23116yescomplemented
300C2×C22⋊Dic47C2311yescharacteristic
301C2×C22⋊Dic47C2312yes—
302C2×C22⋊Dic47C23116yescomplemented
303C2×C22⋊Dic47C2312yescomplemented
304C2×C22⋊Dic47C2312yescomplemented
305C2×C22⋊Dic47C2312yescomplemented
306C2×C22⋊Dic47C2311yescharacteristic, complemented
307C2×C22⋊Dic47C2312yescomplemented
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2312yes—
311C2×(C2×D47)⋊C4C2312yes—
312C2×(C2×D47)⋊C4C23116yescomplemented
313C2×(C2×D47)⋊C4C23116yescomplemented
314C2×(C2×D47)⋊C4C2312yescomplemented
315C2×(C2×D47)⋊C4C2312yescomplemented
316C2×(C2×D47)⋊C4C2312yescomplemented
317C2×(C2×D47)⋊C4C2312yescomplemented
318C2×(C2×D47)⋊C4C2312yescomplemented
319C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
320C2×(C2×D47)⋊C4C2312yescomplemented
321C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
322C2×(C2×D47)⋊C4C2312yescomplemented
323C2×(C2×D47)⋊C4C2312yescomplemented
324C22⋊C4×D47C2318yes—
325C22⋊C4×D47C23116yes—
326C22⋊C4×D47C23116yescomplemented
327C22⋊C4×D47C23116yescomplemented
328C22⋊C4×D47C23116yescomplemented
329C22⋊C4×D47C23116yescomplemented
330C22⋊C4×D47C23116yescomplemented
331C22⋊C4×D47C23116yescomplemented
332C22⋊C4×D47C23116yescomplemented
333C22⋊C4×D47C2318yescomplemented
334C22⋊C4×D47C23116yescomplemented
335C2×C4×Dic47C2311yescharacteristic, complemented
336C2×C4×Dic47C2311yescharacteristic, complemented
337C2×C4×Dic47C2311yescharacteristic, complemented
338C42×D47C2318yescomplemented
339C25×C47C2312yes—
340C2×#41×C47—28no—
341C2×#41×C47C2318yescomplemented
342C22×Q8×C47C2311yescharacteristic, complemented
343C22×D4×C47—28no—
344C22×D4×C47C2311yescharacteristic
345C22×D4×C47C2312yes—
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2318yescomplemented
349C22×D4×C47C2312yescomplemented
350C22×D4×C47C2312yescomplemented
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2312yescomplemented
353C23×C4×C47C2311yescharacteristic, complemented
354C23×C4×C47C2312yescomplemented
355#124×C47C2318yescomplemented
356#123×C47C23116yescomplemented
357C22⋊Q8×C47C2318yescomplemented
358#121×C47C23116yescomplemented
359#121×C47C2318yescomplemented
360#120×C47C23116yescomplemented
361C4×D4×C47C2318yescomplemented
362C4×D4×C47C2318yescomplemented
363C2×C4⋊C4×C47C2311yescharacteristic, complemented
364C2×C4⋊C4×C47C2311yescharacteristic, complemented
365C2×C4⋊C4×C47C2312yescomplemented
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2312yes—
368C2×C22⋊C4×C47C23116yescomplemented
369C2×C22⋊C4×C47C2312yescomplemented
370C2×C22⋊C4×C47C2312yescomplemented
371C2×C22⋊C4×C47C2312yescomplemented
372C2×C22⋊C4×C47C2311yescharacteristic, complemented
373C2×C22⋊C4×C47C2312yescomplemented
374C2×C42×C47C2311yescharacteristic, complemented
375C24×C47—28no—
376C24×C47—28no—
377C24×C47—44no—
378C24×C47C2412yes—
379C24×C47C2411yescharacteristic
380C24×C47C2418yes—
381C24×C47C2412yes—
382C24×C47C2411yescharacteristic
383C23×D47—24no—
384C23×D47—28no—
385C23×D47—28no—
386C23×D47—24no—
387C23×D47—28no—
388C23×D47—28no—
389C23×D47—24no—
390C23×D47—28no—
391C23×D47—264no—
392C23×D47—28no—
393C23×D47—28no—
394C23×D47—24no—
395C23×D47—28no—
396C23×D47—28no—
397C23×D47—264no—
398C23×D47—28no—
399C23×D47—24no—
400C23×D47—28no—
401C23×D47—432no—
402C23×D47—44no—
403C23×D47—44no—
404C23×D47—44no—
405C23×D47—4128no—
406C23×D47C2×D4116yes—
407C23×D47#4118yescomplemented
408C23×D47C2418yes—
409C23×D47C2414yes—
410C23×D47C2412yes—
411C23×D47C2411yescharacteristic
412C23×D47C2418yes—
413C23×D47C2418yes—
414C23×D47C2418yes—
415C23×D47C2418yes—
416C23×D47C2412yes—
417C23×D47C2414yes—
418C23×D47C2411yescharacteristic
419C23×D47C2411yescharacteristic
420#41×C47—232no—
421C2×Q8×C47—24no—
422C2×Q8×C47C2414yescomplemented
423C2×D4×C47—28no—
424C2×D4×C47—28no—
425C2×D4×C47—24no—
426C2×D4×C47—232no—
427C2×D4×C47—24no—
428C2×D4×C47—44no—
429C2×D4×C47C2×D418yescomplemented
430C2×D4×C47C2414yes—
431C2×D4×C47C2418yes—
432C2×D4×C47C2414yes—
433C2×D4×C47C2414yes—
434C2×D4×C47C2418yescomplemented
435C2×D4×C47C2418yescomplemented
436C22×C4×C47—28no—
437C22×C4×C47—24no—
438C22×C4×C47—24no—
439C22×C4×C47—44no—
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2412yes—
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2412yes—
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2414yes—
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2418yescomplemented
449C22×C4×C47C2414yescomplemented
450C22×C4×C47C2418yescomplemented
451C2×C22⋊D47—28no—
452C2×C22⋊D47—28no—
453C2×C22⋊D47—24no—
454C2×C22⋊D47—28no—
455C2×C22⋊D47—28no—
456C2×C22⋊D47—24no—
457C2×C22⋊D47—264no—
458C2×C22⋊D47—28no—
459C2×C22⋊D47—44no—
460C2×C22⋊D47—44no—
461C2×C22⋊D47C2×D4116yescomplemented
462C2×C22⋊D47C2414yes—
463C2×C22⋊D47C2414yes—
464C2×C22⋊D47C2418yes—
465C2×C22⋊D47C2418yes—
466C2×C22⋊D47C2418yes—
467C2×C22⋊D47C2418yes—
468C2×C22⋊D47C2418yescomplemented
469C2×C22⋊D47C2418yescomplemented
470C2×C22⋊D47C2418yescomplemented
471C2×C22⋊D47C2418yescomplemented
472C22×Dic47—28no—
473C22×Dic47—24no—
474C22×Dic47—24no—
475C22×Dic47—44no—
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2412yes—
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2412yes—
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2414yes—
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2418yescomplemented
485C22×Dic47C2414yescomplemented
486C22×Dic47C2418yescomplemented
487#10625354—232no—
488Q8×D47—232no—
489#10625352—232no—
490#10625352—264no—
491D4×D47—264no—
492D4×D47—264no—
493D4×D47—232no—
494D4×D47—232no—
495D4×D47—264no—
496D4×D47—232no—
497D4×D47—232no—
498D4×D47—432no—
499D4×D47C2×D4164yescomplemented
500#10625350—264no—
501#10625350—232no—
502C2×D188—28no—
503C2×D188—28no—
504C2×D188—24no—
505C2×D188—24no—
506C2×D188—232no—
507C2×D188—44no—
508C2×D188C2×D418yescomplemented
509C2×D188C2414yes—
510C2×D188C2418yes—
511C2×D188C2414yes—
512C2×D188C2414yes—
513C2×D188C2418yescomplemented
514C2×D188C2418yescomplemented
515C2×C4×D47—24no—
516C2×C4×D47—24no—
517C2×C4×D47—28no—
518C2×C4×D47—264no—
519C2×C4×D47—28no—
520C2×C4×D47—28no—
521C2×C4×D47—24no—
522C2×C4×D47—24no—
523C2×C4×D47—28no—
524C2×C4×D47—24no—
525C2×C4×D47—24no—
526C2×C4×D47—24no—
527C2×C4×D47—24no—
528C2×C4×D47—232no—
529C2×C4×D47—232no—
530C2×C4×D47—432no—
531C2×C4×D47—44no—
532C2×C4×D47—44no—
533C2×C4×D47C2×D418yes—
534C2×C4×D47C2414yes—
535C2×C4×D47C2414yes—
536C2×C4×D47C2418yes—
537C2×C4×D47C2414yes—
538C2×C4×D47C2418yes—
539C2×C4×D47C2414yes—
540C2×C4×D47C2414yes—
541C2×C4×D47C2414yes—
542C2×C4×D47C2414yes—
543C2×C4×D47C2418yescomplemented
544C2×C4×D47C2418yescomplemented
545C2×C4×D47C2414yescomplemented
546C2×C4×D47C2414yescomplemented
547C2×C4×D47C2418yescomplemented
548C2×C4×D47C2418yescomplemented
549C2×Dic94—24no—
550C2×Dic94—28no—
551C2×Dic94C2418yescomplemented
552C2×Dic94C2414yescomplemented
553C4⋊C4×C47C2414yescomplemented
554C4⋊C4×C47C2414yescomplemented
555C4⋊C4×C47C2418yescomplemented
556C22⋊C4×C47C2414yes—
557C22⋊C4×C47C2418yes—
558C22⋊C4×C47C2418yescomplemented
559C22⋊C4×C47C2418yescomplemented
560C22⋊C4×C47C2418yescomplemented
561C22⋊C4×C47C2414yescomplemented
562C22⋊C4×C47C2418yescomplemented
563C42×C47C2414yescomplemented
564C22⋊Dic47C2414yes—
565C22⋊Dic47C2418yes—
566C22⋊Dic47C2418yescomplemented
567C22⋊Dic47C2418yescomplemented
568C22⋊Dic47C2418yescomplemented
569C22⋊Dic47C2414yescomplemented
570C22⋊Dic47C2418yescomplemented
571(C2×D47)⋊C4C2414yes—
572(C2×D47)⋊C4C2414yes—
573(C2×D47)⋊C4C2418yes—
574(C2×D47)⋊C4C2418yes—
575(C2×D47)⋊C4C2418yescomplemented
576(C2×D47)⋊C4C2418yescomplemented
577(C2×D47)⋊C4C2418yescomplemented
578(C2×D47)⋊C4C2418yescomplemented
579(C2×D47)⋊C4C2418yescomplemented
580(C2×D47)⋊C4C2414yescomplemented
581(C2×D47)⋊C4C2418yescomplemented
582(C2×D47)⋊C4C2414yescomplemented
583(C2×D47)⋊C4C2418yescomplemented
584(C2×D47)⋊C4C2418yescomplemented
585C4⋊Dic47C2414yescomplemented
586C4⋊Dic47C2414yescomplemented
587C4⋊Dic47C2418yescomplemented
588Dic47⋊C4C2418yescomplemented
589Dic47⋊C4C2414yescomplemented
590Dic47⋊C4C2414yescomplemented
591Dic47⋊C4C2418yescomplemented
592Dic47⋊C4C2418yescomplemented
593C4×Dic47C2414yescomplemented
594C4×Dic47C2414yescomplemented
595C4×Dic47C2414yescomplemented
596C23×C47—22no—
597C23×C47—24no—
598C23×C47—24no—
599C23×C47—22no—
600C23×C47—22no—
601C23×C47—216no—
602C23×C47—24no—
603C23×C47—22no—
604C23×C47—24no—
605C23×C47—216no—
606C23×C47—22no—
607C23×C47—24no—
608C23×C47—48no—
609C23×C47—432no—
610C23×C47C22×D418yes—
611C23×C47C2×#4114yescomplemented
612C23×C47C2514yes—
613C23×C47C2512yes—
614C23×C47C2514yes—
615C23×C47C2512yes—
616C23×C47C2511yescharacteristic
617C22×D47—22no—
618C22×D47—24no—
619C22×D47—24no—
620C22×D47—22no—
621C22×D47—232no—
622C22×D47—264no—
623C22×D47—28no—
624C22×D47—216no—
625C22×D47—216no—
626C22×D47—28no—
627C22×D47—22no—
628C22×D47—24no—
629C22×D47—216no—
630C22×D47—22no—
631C22×D47—24no—
632C22×D47—216no—
633C22×D47—22no—
634C22×D47—24no—
635C22×D47—28no—
636C22×D47—216no—
637C22×D47—216no—
638C22×D47—216no—
639C22×D47—28no—
640C22×D47—216no—
641C22×D47—216no—
642C22×D47—216no—
643C22×D47—28no—
644C22×D47—216no—
645C22×D47—48no—
646C22×D47—48no—
647C22×D47—48no—
648C22×D47—432no—
649C22×D47—4256no—
650C22×D47—432no—
651C22×D47—432no—
652C22×D47—416no—
653C22×D47—432no—
654C22×D47C22×D418yes—
655C22×D47C22×D4132yes—
656C22×D47C22×D414yes—
657C22×D47C2×#4114yes—
658C22×D47C2×#41116yescomplemented
659C22×D47C2×#4114yescomplemented
660C22×D47H(5,𝔽2)14yes—
661C22×D47C2514yes—
662C22×D47C2512yes—
663C22×D47C2514yes—
664C22×D47C2512yes—
665C22×D47C2512yes—
666Q8×C47—28no—
667D4×C47—216no—
668D4×C47—216no—
669D4×C47—28no—
670D4×C47—28no—
671D4×C47—48no—
672D4×C47C22×D4116yescomplemented
673C2×C4×C47—24no—
674C2×C4×C47—22no—
675C2×C4×C47—22no—
676C2×C4×C47—216no—
677C2×C4×C47—22no—
678C2×C4×C47—22no—
679C2×C4×C47—24no—
680C2×C4×C47—28no—
681C2×C4×C47—28no—
682C2×C4×C47—48no—
683C2×C4×C47C22×D414yes—
684C2×C4×C47C2512yes—
685C2×C4×C47C2512yes—
686C2×C4×C47C2512yes—
687C2×C4×C47C2514yes—
688C2×C4×C47C2514yes—
689C2×C4×C47C2512yes—
690C2×C4×C47C2512yes—
691C22⋊D47—216no—
692C22⋊D47—216no—
693C22⋊D47—28no—
694C22⋊D47—216no—
695C22⋊D47—216no—
696C22⋊D47—28no—
697C22⋊D47—216no—
698C22⋊D47—48no—
699C22⋊D47—48no—
700C22⋊D47C22×D4132yescomplemented
701C2×Dic47—24no—
702C2×Dic47—22no—
703C2×Dic47—216no—
704C2×Dic47—22no—
705C2×Dic47—22no—
706C2×Dic47—22no—
707C2×Dic47—24no—
708C2×Dic47—28no—
709C2×Dic47—28no—
710C2×Dic47—48no—
711C2×Dic47C22×D414yes—
712C2×Dic47C2512yes—
713C2×Dic47C2512yes—
714C2×Dic47C2512yes—
715C2×Dic47C2514yes—
716C2×Dic47C2514yes—
717C2×Dic47C2512yes—
718C2×Dic47C2512yes—
719D188—216no—
720D188—216no—
721D188—28no—
722D188—28no—
723D188—48no—
724D188C22×D4116yescomplemented
725C4×D47—28no—
726C4×D47—28no—
727C4×D47—216no—
728C4×D47—216no—
729C4×D47—216no—
730C4×D47—28no—
731C4×D47—28no—
732C4×D47—216no—
733C4×D47—28no—
734C4×D47—28no—
735C4×D47—28no—
736C4×D47—28no—
737C4×D47—48no—
738C4×D47—48no—
739C4×D47C22×D4116yes—
740Dic94—28no—
741Dic94—216no—
742C22×#546—471nomaximal, Sylow
743C22×C47—22no—
744C22×C47—24no—
745C22×C47—24no—
746C22×C47—22no—
747C22×C47—28no—
748C22×C47—216no—
749C22×C47—22no—
750C22×C47—24no—
751C22×C47—22no—
752C22×C47—24no—
753C22×C47—22no—
754C22×C47—24no—
755C22×C47—432no—
756C22×C47—48no—
757C22×C47—44no—
758C22×C47C23×D418yes—
759C22×C47C23×D412yes—
760C22×C47C22×#4112yes—
761C22×C47C22×#4114yescomplemented
762C22×C47C2×H(5,𝔽2)12yes—
763C22×C47C2611yescharacteristic
764C2×D47—22no—
765C2×D47—24no—
766C2×D47—24no—
767C2×D47—22no—
768C2×D47—28no—
769C2×D47—216no—
770C2×D47—232no—
771C2×D47—264no—
772C2×D47—22no—
773C2×D47—24no—
774C2×D47—22no—
775C2×D47—24no—
776C2×D47—22no—
777C2×D47—24no—
778C2×D47—432no—
779C2×D47—432no—
780C2×D47—432no—
781C2×D47—44no—
782C2×D47—48no—
783C2×D47—416no—
784C2×D47—432no—
785C2×D47#546116yesdirect product factor
786C2×D47C23×D418yes—
787C2×D47C23×D414yes—
788C2×D47C22×#4114yes—
789C2×D47C22×#4114yescomplemented
790C2×D47C2×H(5,𝔽2)14yes—
791C4×C47—24no—
792C4×C47—22no—
793C4×C47—22no—
794C4×C47—22no—
795C4×C47—22no—
796C4×C47—24no—
797C4×C47C23×D414yes—
798Dic47—24no—
799Dic47—22no—
800Dic47—22no—
801Dic47—22no—
802Dic47—22no—
803Dic47—24no—
804Dic47C23×D414yes—
805C23×#41—471no—
806C24×D4—471no—
807C2×#546—471no—
808C2×#546—471no—
809C2×#546—4732no—
810C2×#546—471no—
811C2×#546—472no—
812C2×#546—471no—
813C2×#546—472no—
814C2×#546—471no—
815C2×#546—472no—
816C2×#546—471no—
817C2×#546—471no—
818C2×#546—472no—
819C2×#546D4711yescharacteristic, direct product factor
820C22×#124—471no—
821C22×#123—472no—
822C22×C22⋊Q8—471no—
823C22×#121—471no—
824C22×#121—472no—
825C22×#120—472no—
826C22×C4×D4—471no—
827C22×C4×D4—471no—
828C23×C22⋊C4—472no—
829C2×C47—24no—
830C2×C47—28no—
831C2×C47—44no—
832C2×C47—42no—
833C2×C47C2×#54614yescomplemented
834C2×C47C24×D411yescharacteristic
835C2×C47C23×#4111yescharacteristic
836C2×C47C22×H(5,𝔽2)11yescharacteristic
837D47—24no—
838D47—28no—
839D47—42no—
840D47—44no—
841D47C2×#54618yesdirect product factor
842C26—472no—
843C22×#41—4716no—
844C22×#41—471no—
845C22×#41—471no—
846C22×#41—472no—
847C22×#41—471no—
848C22×#41—472no—
849C22×#41—9416no—
850C22×#41C2×D4711yescharacteristic, complemented
851C23×Q8—471no—
852C23×D4—471no—
853C23×D4—472no—
854C23×D4—472no—
855C23×D4—471no—
856C23×D4—472no—
857C23×D4—471no—
858C23×D4—471no—
859C23×D4—471no—
860C23×D4—4716no—
861C23×D4—472no—
862C23×D4—472no—
863C23×D4—471no—
864C23×D4—9416no—
865C23×D4C2×D4711yescharacteristic, complemented
866C24×C4—471no—
867C24×C4—472no—
868C24×C4—471no—
869C24×C4—472no—
870#546—4716no—
871#546—4716no—
872#546—4716no—
873#546—4732no—
874#546—4716no—
875#546—4732no—
876#546—4716no—
877#546—4732no—
878#546—4716no—
879#546—4716no—
880#546—4732no—
881#546C2×D47116yesdirect product factor
882C2×#124—471no—
883C2×#124—471no—
884C2×#124—4716no—
885C2×#124—472no—
886C2×#124—472no—
887C2×#124—471no—
888C2×#124C2×D4711yescharacteristic, complemented
889C2×#123—472no—
890C2×#123—472no—
891C2×#123—4732no—
892C2×#123—472no—
893C2×#123—472no—
894C2×#123—472no—
895C2×#123—472no—
896C2×#123—472no—
897C2×#123C2×D4712yescomplemented
898C2×C22⋊Q8—471no—
899C2×C22⋊Q8—471no—
900C2×C22⋊Q8—4716no—
901C2×C22⋊Q8—472no—
902C2×C22⋊Q8—471no—
903C2×C22⋊Q8—472no—
904C2×C22⋊Q8C2×D4711yescharacteristic, complemented
905C2×#121—471no—
906C2×#121—472no—
907C2×#121—472no—
908C2×#121—472no—
909C2×#121—472no—
910C2×#121—471no—
911C2×#121—472no—
912C2×#121—4716no—
913C2×#121—4732no—
914C2×#121—471no—
915C2×#121—472no—
916C2×#121—472no—
917C2×#121—472no—
918C2×#121—472no—
919C2×#121C2×D4711yescharacteristic, complemented
920C2×#121C2×D4712yescomplemented
921C2×#120—472no—
922C2×#120—472no—
923C2×#120—472no—
924C2×#120—472no—
925C2×#120—4732no—
926C2×#120—472no—
927C2×#120—472no—
928C2×#120—472no—
929C2×#120C2×D4712yescomplemented
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—471no—
933C2×C4×D4—472no—
934C2×C4×D4—471no—
935C2×C4×D4—4716no—
936C2×C4×D4—4716no—
937C2×C4×D4—471no—
938C2×C4×D4—471no—
939C2×C4×D4—471no—
940C2×C4×D4—471no—
941C2×C4×D4—472no—
942C2×C4×D4—471no—
943C2×C4×D4—471no—
944C2×C4×D4C2×D4711yescharacteristic, complemented
945C2×C4×D4C2×D4711yescharacteristic, complemented
946C22×C4⋊C4—471no—
947C22×C4⋊C4—471no—
948C22×C4⋊C4—472no—
949C22×C22⋊C4—472no—
950C22×C22⋊C4—472no—
951C22×C22⋊C4—472no—
952C22×C22⋊C4—471no—
953C22×C22⋊C4—472no—
954C22×C22⋊C4—472no—
955C22×C22⋊C4—472no—
956C22×C22⋊C4—472no—
957C22×C22⋊C4—472no—
958C22×C22⋊C4—472no—
959C22×C22⋊C4—472no—
960C22×C22⋊C4—4732no—
961C22×C22⋊C4—472no—
962C22×C22⋊C4—471no—
963C22×C22⋊C4—472no—
964C22×C22⋊C4C2×D4712yescomplemented
965C22×C42—471no—
966C47C22×#54611yescharacteristic, complemented, Sylow
967C25—471no—
968C25—472no—
969C25—472no—
970C25—471no—
971C25—4716no—
972C25—472no—
973C25—472no—
974C25—472no—
975C25—9416no—
976C25—9416no—
977C25—1888no—
978C25C22×D4712yes—
979C2×#41—28no—
980C2×#41—478no—
981C2×#41—478no—
982C2×#41—4716no—
983C2×#41—478no—
984C2×#41—4716no—
985C2×#41—9416no—
986C2×#41—948no—
987C2×#41—9416no—
988C2×#41—948no—
989C2×#41—94128no—
990C2×#41—948no—
991C2×#41C22×D4718yescomplemented
992C22×Q8—478no—
993C22×Q8—472no—
994C22×Q8—471no—
995C22×Q8—948no—
996C22×Q8C22×D4711yescharacteristic, complemented
997C22×D4—28no—
998C22×D4—472no—
999C22×D4—4716no—
1000C22×D4—478no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—472no—
1004C22×D4—472no—
1005C22×D4—472no—
1006C22×D4—472no—
1007C22×D4—472no—
1008C22×D4—4716no—
1009C22×D4—472no—
1010C22×D4—472no—
1011C22×D4—478no—
1012C22×D4—4716no—
1013C22×D4—478no—
1014C22×D4—4716no—
1015C22×D4—478no—
1016C22×D4—478no—
1017C22×D4—4716no—
1018C22×D4—4716no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4—472no—
1022C22×D4—472no—
1023C22×D4—471no—
1024C22×D4—478no—
1025C22×D4—472no—
1026C22×D4—948no—
1027C22×D4—948no—
1028C22×D4—9416no—
1029C22×D4—94128no—
1030C22×D4—948no—
1031C22×D4—9416no—
1032C22×D4—9416no—
1033C22×D4—948no—
1034C22×D4—9416no—
1035C22×D4—948no—
1036C22×D4—1888no—
1037C22×D4C22×D4711yescharacteristic
1038C22×D4C22×D4712yes—
1039C22×D4C22×D4711yescharacteristic
1040C22×D4C22×D4711yescharacteristic
1041C22×D4C22×D4718yescomplemented
1042C22×D4C22×D4712yescomplemented
1043C22×D4C22×D4712yescomplemented
1044C23×C4—471no—
1045C23×C4—472no—
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—472no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—472no—
1052C23×C4—471no—
1053C23×C4—472no—
1054C23×C4—472no—
1055C23×C4—472no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—478no—
1061C23×C4—471no—
1062C23×C4—4716no—
1063C23×C4—478no—
1064C23×C4—472no—
1065C23×C4—472no—
1066C23×C4—4716no—
1067C23×C4—948no—
1068C23×C4—948no—
1069C23×C4—9416no—
1070C23×C4—1888no—
1071C23×C4C22×D4711yescharacteristic
1072C23×C4C22×D4712yescomplemented
1073C23×C4C22×D4711yescharacteristic, complemented
1074C23×C4C22×D4712yescomplemented
1075#124—478no—
1076#124—478no—
1077#124—4716no—
1078#124—4716no—
1079#124—478no—
1080#124C22×D4718yescomplemented
1081#123—4716no—
1082#123—4716no—
1083#123—4716no—
1084#123—4716no—
1085#123—4716no—
1086#123—4716no—
1087#123—4716no—
1088#123C22×D47116yescomplemented
1089C22⋊Q8—478no—
1090C22⋊Q8—478no—
1091C22⋊Q8—4716no—
1092C22⋊Q8—478no—
1093C22⋊Q8—4716no—
1094C22⋊Q8C22×D4718yescomplemented
1095#121—478no—
1096#121—4716no—
1097#121—4716no—
1098#121—4716no—
1099#121—4716no—
1100#121—478no—
1101#121—4716no—
1102#121—478no—
1103#121—4716no—
1104#121—4716no—
1105#121—4716no—
1106#121—4716no—
1107#121C22×D4718yescomplemented
1108#121C22×D47116yescomplemented
1109#120—4716no—
1110#120—4716no—
1111#120—4716no—
1112#120—4716no—
1113#120—4716no—
1114#120—4716no—
1115#120—4716no—
1116#120C22×D47116yescomplemented
1117C4×D4—478no—
1118C4×D4—478no—
1119C4×D4—478no—
1120C4×D4—4716no—
1121C4×D4—478no—
1122C4×D4—478no—
1123C4×D4—478no—
1124C4×D4—478no—
1125C4×D4—478no—
1126C4×D4—4716no—
1127C4×D4—478no—
1128C4×D4—478no—
1129C4×D4C22×D4718yescomplemented
1130C4×D4C22×D4718yescomplemented
1131C2×C4⋊C4—472no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—472no—
1137C2×C4⋊C4—472no—
1138C2×C4⋊C4—472no—
1139C2×C4⋊C4—478no—
1140C2×C4⋊C4—478no—
1141C2×C4⋊C4—4716no—
1142C2×C4⋊C4C22×D4711yescharacteristic, complemented
1143C2×C4⋊C4C22×D4711yescharacteristic, complemented
1144C2×C4⋊C4C22×D4712yescomplemented
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—472no—
1147C2×C22⋊C4—472no—
1148C2×C22⋊C4—472no—
1149C2×C22⋊C4—4716no—
1150C2×C22⋊C4—472no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—472no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—472no—
1156C2×C22⋊C4—472no—
1157C2×C22⋊C4—472no—
1158C2×C22⋊C4—472no—
1159C2×C22⋊C4—472no—
1160C2×C22⋊C4—472no—
1161C2×C22⋊C4—472no—
1162C2×C22⋊C4—472no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—472no—
1166C2×C22⋊C4—472no—
1167C2×C22⋊C4—4716no—
1168C2×C22⋊C4—4716no—
1169C2×C22⋊C4—478no—
1170C2×C22⋊C4—4716no—
1171C2×C22⋊C4—4716no—
1172C2×C22⋊C4—4716no—
1173C2×C22⋊C4—4716no—
1174C2×C22⋊C4—4716no—
1175C2×C22⋊C4—4716no—
1176C2×C22⋊C4—4716no—
1177C2×C22⋊C4—4716no—
1178C2×C22⋊C4—478no—
1179C2×C22⋊C4—4716no—
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4712yes—
1182C2×C22⋊C4C22×D47116yescomplemented
1183C2×C22⋊C4C22×D4712yescomplemented
1184C2×C22⋊C4C22×D4712yescomplemented
1185C2×C22⋊C4C22×D4712yescomplemented
1186C2×C22⋊C4C22×D4711yescharacteristic, complemented
1187C2×C22⋊C4C22×D4712yescomplemented
1188C2×C42—471no—
1189C2×C42—471no—
1190C2×C42—471no—
1191C2×C42—478no—
1192C2×C42C22×D4711yescharacteristic, complemented
1193C24—28no—
1194C24—28no—
1195C24—44no—
1196C24—471no—
1197C24—4716no—
1198C24—478no—
1199C24—474no—
1200C24—478no—
1201C24—471no—
1202C24—472no—
1203C24—478no—
1204C24—474no—
1205C24—472no—
1206C24—471no—
1207C24—478no—
1208C24—478no—
1209C24—478no—
1210C24—944no—
1211C24—948no—
1212C24—948no—
1213C24—944no—
1214C24—944no—
1215C24—948no—
1216C24—948no—
1217C24—9464no—
1218C24—948no—
1219C24—944no—
1220C24—944no—
1221C24—948no—
1222C24—948no—
1223C24—948no—
1224C24—948no—
1225C24—9464no—
1226C24—948no—
1227C24—948no—
1228C24—1884no—
1229C24—1884no—
1230C24—1884no—
1231C24—18832no—
1232C24—188128no—
1233C24C23×D4712yes—
1234C24C23×D4711yescharacteristic
1235C24C23×D4718yes—
1236C24C23×D4712yes—
1237C24C23×D4711yescharacteristic
1238#41—232no—
1239#41—9464no—
1240#41—9432no—
1241#41—9464no—
1242#41—9432no—
1243#41—9432no—
1244C2×Q8—24no—
1245C2×Q8—478no—
1246C2×Q8—474no—
1247C2×Q8—948no—
1248C2×Q8—9432no—
1249C2×Q8—944no—
1250C2×Q8C23×D4714yescomplemented
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—232no—
1255C2×D4—24no—
1256C2×D4—44no—
1257C2×D4—4716no—
1258C2×D4—478no—
1259C2×D4—4764no—
1260C2×D4—474no—
1261C2×D4—474no—
1262C2×D4—478no—
1263C2×D4—478no—
1264C2×D4—478no—
1265C2×D4—478no—
1266C2×D4—478no—
1267C2×D4—478no—
1268C2×D4—478no—
1269C2×D4—478no—
1270C2×D4—474no—
1271C2×D4—474no—
1272C2×D4—478no—
1273C2×D4—474no—
1274C2×D4—478no—
1275C2×D4—478no—
1276C2×D4—9432no—
1277C2×D4—944no—
1278C2×D4—948no—
1279C2×D4—948no—
1280C2×D4—9432no—
1281C2×D4—948no—
1282C2×D4—9464no—
1283C2×D4—9432no—
1284C2×D4—9432no—
1285C2×D4—9464no—
1286C2×D4—9464no—
1287C2×D4—9464no—
1288C2×D4—944no—
1289C2×D4—948no—
1290C2×D4—948no—
1291C2×D4—948no—
1292C2×D4—948no—
1293C2×D4—944no—
1294C2×D4—9432no—
1295C2×D4—944no—
1296C2×D4—1884no—
1297C2×D4—18832no—
1298C2×D4—1884no—
1299C2×D4—1884no—
1300C2×D4D4×D4718yescomplemented
1301C2×D4C23×D4714yes—
1302C2×D4C23×D4718yes—
1303C2×D4C23×D4714yes—
1304C2×D4C23×D4714yes—
1305C2×D4C23×D4718yescomplemented
1306C2×D4C23×D4718yescomplemented
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—44no—
1311C22×C4—471no—
1312C22×C4—478no—
1313C22×C4—474no—
1314C22×C4—474no—
1315C22×C4—478no—
1316C22×C4—474no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—472no—
1320C22×C4—471no—
1321C22×C4—472no—
1322C22×C4—471no—
1323C22×C4—478no—
1324C22×C4—474no—
1325C22×C4—474no—
1326C22×C4—478no—
1327C22×C4—474no—
1328C22×C4—478no—
1329C22×C4—474no—
1330C22×C4—474no—
1331C22×C4—474no—
1332C22×C4—478no—
1333C22×C4—478no—
1334C22×C4—474no—
1335C22×C4—474no—
1336C22×C4—478no—
1337C22×C4—478no—
1338C22×C4—944no—
1339C22×C4—9432no—
1340C22×C4—944no—
1341C22×C4—9432no—
1342C22×C4—944no—
1343C22×C4—944no—
1344C22×C4—948no—
1345C22×C4—948no—
1346C22×C4—948no—
1347C22×C4—9464no—
1348C22×C4—944no—
1349C22×C4—948no—
1350C22×C4—944no—
1351C22×C4—944no—
1352C22×C4—944no—
1353C22×C4—948no—
1354C22×C4—944no—
1355C22×C4—944no—
1356C22×C4—1884no—
1357C22×C4—1884no—
1358C22×C4—18832no—
1359C22×C4—1884no—
1360C22×C4C23×D4714yes—
1361C22×C4C23×D4711yescharacteristic
1362C22×C4C23×D4711yescharacteristic
1363C22×C4C23×D4712yes—
1364C22×C4C23×D4711yescharacteristic
1365C22×C4C23×D4712yes—
1366C22×C4C23×D4711yescharacteristic
1367C22×C4C23×D4711yescharacteristic
1368C22×C4C23×D4718yescomplemented
1369C22×C4C23×D4714yescomplemented
1370C22×C4C23×D4718yescomplemented
1371C4⋊C4—478no—
1372C4⋊C4—474no—
1373C4⋊C4—474no—
1374C4⋊C4—478no—
1375C4⋊C4—478no—
1376C4⋊C4—474no—
1377C4⋊C4—474no—
1378C4⋊C4—478no—
1379C4⋊C4C23×D4714yescomplemented
1380C4⋊C4C23×D4714yescomplemented
1381C4⋊C4C23×D4718yescomplemented
1382C22⋊C4—474no—
1383C22⋊C4—478no—
1384C22⋊C4—478no—
1385C22⋊C4—478no—
1386C22⋊C4—478no—
1387C22⋊C4—474no—
1388C22⋊C4—478no—
1389C22⋊C4—474no—
1390C22⋊C4—474no—
1391C22⋊C4—478no—
1392C22⋊C4—478no—
1393C22⋊C4—478no—
1394C22⋊C4—478no—
1395C22⋊C4—478no—
1396C22⋊C4—478no—
1397C22⋊C4—478no—
1398C22⋊C4—478no—
1399C22⋊C4—474no—
1400C22⋊C4—474no—
1401C22⋊C4—478no—
1402C22⋊C4—478no—
1403C22⋊C4C23×D4714yes—
1404C22⋊C4C23×D4718yes—
1405C22⋊C4C23×D4718yescomplemented
1406C22⋊C4C23×D4718yescomplemented
1407C22⋊C4C23×D4718yescomplemented
1408C22⋊C4C23×D4714yescomplemented
1409C22⋊C4C23×D4718yescomplemented
1410C42—474no—
1411C42—474no—
1412C42—474no—
1413C42C23×D4714yescomplemented
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—216no—
1420C23—24no—
1421C23—22no—
1422C23—24no—
1423C23—216no—
1424C23—22no—
1425C23—24no—
1426C23—48no—
1427C23—432no—
1428C23—474no—
1429C23—474no—
1430C23—474no—
1431C23—472no—
1432C23—4732no—
1433C23—478no—
1434C23—474no—
1435C23—4716no—
1436C23—472no—
1437C23—474no—
1438C23—474no—
1439C23—472no—
1440C23—948no—
1441C23—9416no—
1442C23—9416no—
1443C23—9464no—
1444C23—9432no—
1445C23—948no—
1446C23—948no—
1447C23—9416no—
1448C23—9416no—
1449C23—9416no—
1450C23—948no—
1451C23—948no—
1452C23—9416no—
1453C23—9416no—
1454C23—9416no—
1455C23—9416no—
1456C23—942no—
1457C23—944no—
1458C23—944no—
1459C23—942no—
1460C23—942no—
1461C23—9416no—
1462C23—944no—
1463C23—942no—
1464C23—944no—
1465C23—9416no—
1466C23—942no—
1467C23—944no—
1468C23—1888no—
1469C23—1888no—
1470C23—1888no—
1471C23—18832no—
1472C23—18832no—
1473C23—18816no—
1474C23—18832no—
1475C23—188256no—
1476C23—18832no—
1477C23C2×D4×D4718yes—
1478C23#41×D4714yescomplemented
1479C23C24×D4714yes—
1480C23C24×D4712yes—
1481C23C24×D4714yes—
1482C23C24×D4712yes—
1483C23C24×D4711yescharacteristic
1484Q8—28no—
1485Q8—9416no—
1486Q8—948no—
1487D4—216no—
1488D4—216no—
1489D4—28no—
1490D4—28no—
1491D4—48no—
1492D4—4732no—
1493D4—4716no—
1494D4—948no—
1495D4—9416no—
1496D4—9416no—
1497D4—9416no—
1498D4—948no—
1499D4—9416no—
1500D4—9416no—
1501D4—9416no—
1502D4—9416no—
1503D4—948no—
1504D4—948no—
1505D4—1888no—
1506D4—1888no—
1507D4—1888no—
1508D4C2×D4×D47116yescomplemented
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—216no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—48no—
1519C2×C4—474no—
1520C2×C4—472no—
1521C2×C4—4716no—
1522C2×C4—472no—
1523C2×C4—472no—
1524C2×C4—474no—
1525C2×C4—472no—
1526C2×C4—474no—
1527C2×C4—472no—
1528C2×C4—948no—
1529C2×C4—948no—
1530C2×C4—948no—
1531C2×C4—948no—
1532C2×C4—9416no—
1533C2×C4—9416no—
1534C2×C4—9416no—
1535C2×C4—948no—
1536C2×C4—9416no—
1537C2×C4—948no—
1538C2×C4—948no—
1539C2×C4—948no—
1540C2×C4—942no—
1541C2×C4—942no—
1542C2×C4—944no—
1543C2×C4—9416no—
1544C2×C4—942no—
1545C2×C4—942no—
1546C2×C4—944no—
1547C2×C4—948no—
1548C2×C4—948no—
1549C2×C4—1888no—
1550C2×C4—1888no—
1551C2×C4—1888no—
1552C2×C4C2×D4×D4714yes—
1553C2×C4C24×D4712yes—
1554C2×C4C24×D4712yes—
1555C2×C4C24×D4714yes—
1556C2×C4C24×D4712yes—
1557C2×C4C24×D4714yes—
1558C2×C4C24×D4712yes—
1559C2×C4C24×D4712yes—
1560C22—28no—
1561C22—216no—
1562C22—22no—
1563C22—24no—
1564C22—24no—
1565C22—22no—
1566C22—22no—
1567C22—24no—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—24no—
1572C22—432no—
1573C22—48no—
1574C22—44no—
1575C22—4716no—
1576C22—474no—
1577C22—474no—
1578C22—474no—
1579C22—478no—
1580C22—474no—
1581C22—9432no—
1582C22—9464no—
1583C22—948no—
1584C22—9416no—
1585C22—942no—
1586C22—944no—
1587C22—944no—
1588C22—942no—
1589C22—942no—
1590C22—944no—
1591C22—942no—
1592C22—944no—
1593C22—942no—
1594C22—944no—
1595C22—18832no—
1596C22—18832no—
1597C22—18832no—
1598C22—18816no—
1599C22—18832no—
1600C22—1888no—
1601C22—1884no—
1602C22C22×D4×D4718yes—
1603C22C22×D4×D4712yes—
1604C22C2×#41×D4712yes—
1605C22C2×#41×D4714yescomplemented
1606C22H(5,𝔽2)×D4712yes—
1607C22C25×D4711yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—474no—
1615C4—942no—
1616C4—942no—
1617C4—944no—
1618C4—942no—
1619C4—942no—
1620C4—944no—
1621C4C22×D4×D4714yes—
1622C2—24no—
1623C2—28no—
1624C2—44no—
1625C2—42no—
1626C2—478no—
1627C2—944no—
1628C2—948no—
1629C2—1884no—
1630C2—1882no—
1631C2#546×D4714yesdirect product factor
1632C2C23×D4×D4711yescharacteristic
1633C2C22×#41×D4711yescharacteristic
1634C2C2×H(5,𝔽2)×D4711yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#546C2
socleC23×C47C25
hypercenterC2×#546D47
hypocenterC47C22×#546
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×#41×D47C2semidirect
2. C23×D4×D47C2semidirect
3. C2×#15689770C2semidirect
4. C2×#15689769C2semidirect
5. C2×#15689768C2semidirect
6. C2×#15689767C2semidirect
7. C2×#15689766C2semidirect
8. C2×#15689765C2semidirect
9. C2×#15689764C2semidirect
10. C2×#15689763C2semidirect
11. C2×#15689762C2semidirect
12. C2×#15689761C2semidirect
13. C2×#15689760C2semidirect
14. #546×D47C2direct (N × H)
15. C2×#124×D47C2semidirect
16. C2×#123×D47C2semidirect
17. C2×C22⋊Q8×D47C2semidirect
18. C2×#121×D47C2semidirect
19. C2×#121×D47C2semidirect
20. C2×#120×D47C2semidirect
21. C2×C4×D4×D47C2semidirect
22. C2×C4×D4×D47C2semidirect
23. C22×C22⋊C4×D47C2semidirect
24. C2×C47×#546C2semidirect
26. C22×#10625354C22semidirect
27. C22×#10625350C22semidirect
28. C22×#10625350C22semidirect
29. C22×#10625352C22semidirect
30. C22×#10625352C22semidirect
32. C2×#41×D47C22semidirect
33. C22×Q8×D47C22semidirect
34. C23×D188C22semidirect
35. C23×C22⋊D47C22semidirect
41. C22×D4×D47C22semidirect
42. C22×D4×D47C22semidirect
43. C22×D4×D47C22semidirect
44. C22×D4×D47C22semidirect
45. C22×D4×D47C22semidirect
46. C22×D4×D47C22semidirect
48. C23×C4×D47C22semidirect
49. C23×C4×D47C22semidirect
50. C23×C4×D47C22semidirect
51. #15689770C22semidirect
52. #15689769C22semidirect
53. #15689768C22semidirect
54. #15689767C22semidirect
55. #15689766C22semidirect
56. #15689765C22semidirect
57. #15689764C22semidirect
58. #15689763C22semidirect
59. #15689762C22semidirect
60. #15689761C22semidirect
61. #15689760C22semidirect
62. C2×#13094013C22semidirect
63. C2×#13094012C22semidirect
64. C2×#13094011C22semidirect
65. C2×#13094010C22semidirect
66. C2×#13094010C22semidirect
67. #124×D47C22semidirect
68. C2×#13094009C22semidirect
69. C2×#13094009C22semidirect
70. C2×#13094008C22semidirect
71. C2×#13094007C22semidirect
72. C2×#13094006C22semidirect
73. C2×#13094006C22semidirect
74. C2×#13094005C22semidirect
75. #123×D47C22semidirect
76. C2×#13094004C22semidirect
77. C2×#13094003C22semidirect
78. C2×#13094002C22semidirect
79. C2×#13094001C22semidirect
80. C2×#13094000C22semidirect
81. C22⋊Q8×D47C22semidirect
82. C2×#13093999C22semidirect
83. C2×#13093999C22semidirect
84. C2×#13093998C22semidirect
85. C2×#13093998C22semidirect
86. C2×#13093997C22semidirect
87. C2×#13093997C22semidirect
88. C2×#13093997C22semidirect
89. C2×#13093996C22semidirect
90. C2×#13093996C22semidirect
91. C2×#13093996C22semidirect
92. C2×#13093995C22semidirect
93. C2×#13093995C22semidirect
94. #121×D47C22semidirect
95. #121×D47C22semidirect
96. C2×#13093994C22semidirect
97. C2×#13093994C22semidirect
98. C2×#13093994C22semidirect
99. C2×#13093993C22semidirect
100. C2×#13093992C22semidirect
101. C2×#13093992C22semidirect
102. C2×#13093992C22semidirect
103. #120×D47C22semidirect
104. C2×C4×D188C22semidirect
105. C2×C4×D188C22semidirect
106. C2×D4×Dic47C22semidirect
107. C2×D4×Dic47C22semidirect
108. C2×#13093986C22semidirect
109. C2×#13093986C22semidirect
110. C2×C4×C22⋊D47C22semidirect
111. C2×C4×C22⋊D47C22semidirect
112. C2×C4×C22⋊D47C22semidirect
113. C2×(C22⋊D47)⋊C4C22semidirect
114. C2×(C22⋊D47)⋊C4C22semidirect
115. C2×(C22⋊D47)⋊C4C22semidirect
116. C4×D4×D47C22semidirect
117. C4×D4×D47C22semidirect
118. C2×C4⋊C4×D47C22semidirect
119. C2×C4⋊C4×D47C22semidirect
120. C2×C4⋊C4×D47C22semidirect
121. C22×C22⋊Dic47C22semidirect
122. C22×(C2×D47)⋊C4C22semidirect
123. C22×(C2×D47)⋊C4C22semidirect
126. C2×C22⋊C4×D47C22semidirect
127. C2×C22⋊C4×D47C22semidirect
128. C2×C22⋊C4×D47C22semidirect
129. C2×C22⋊C4×D47C22semidirect
130. C2×C22⋊C4×D47C22semidirect
131. C2×C22⋊C4×D47C22semidirect
132. C2×C22⋊C4×D47C22semidirect
133. C2×C22⋊C4×D47C22semidirect
134. C2×C22⋊C4×D47C22semidirect
135. C2×C22⋊C4×D47C22semidirect
136. C2×C42×D47C22semidirect
137. C22×#41×C47C22semidirect
138. C23×D4×C47C22semidirect
139. C47×#546C22semidirect
140. C2×#124×C47C22semidirect
141. C2×#123×C47C22semidirect
142. C2×C22⋊Q8×C47C22semidirect
143. C2×#121×C47C22semidirect
144. C2×#121×C47C22semidirect
145. C2×#120×C47C22semidirect
146. C2×C4×D4×C47C22semidirect
147. C2×C4×D4×C47C22semidirect
148. C22×C22⋊C4×C47C22semidirect
161. C2×#10625354C23semidirect
164. C2×#10625350C23semidirect
165. C2×#10625350C23semidirect
168. C2×#10625352C23semidirect
169. C2×#10625352C23semidirect
171. C22×Dic94C23semidirect
172. C22×Dic94C23semidirect
174. C2×Q8×D47C23semidirect
180. C22×D188C23semidirect
181. C22×D188C23semidirect
182. C22×D188C23semidirect
190. C22×C22⋊D47C23semidirect
191. C22×C22⋊D47C23semidirect
192. C22×C22⋊D47C23semidirect
193. C22×C22⋊D47C23semidirect
194. C22×C22⋊D47C23semidirect
204. C2×D4×D47D4semidirect
209. C2×D4×D47C23semidirect
210. C2×D4×D47C23semidirect
211. C2×D4×D47C23semidirect
212. C2×D4×D47C23semidirect
213. C2×D4×D47C23semidirect
215. C23×Dic47C23semidirect
216. C23×Dic47C23semidirect
217. C23×Dic47C23semidirect
232. C22×C4×D47C23semidirect
233. C22×C4×D47C23semidirect
234. C22×C4×D47C23semidirect
235. C22×C4×D47C23semidirect
236. C22×C4×D47C23semidirect
237. C22×C4×D47C23semidirect
238. C22×C4×D47C23semidirect
239. C22×C4×D47C23semidirect
240. C22×C4×D47C23semidirect
241. #13094013C23semidirect
242. #13094012C23semidirect
243. #13094011C23semidirect
244. #13094010C23semidirect
245. #13094010C23semidirect
246. #13094009C23semidirect
247. #13094009C23semidirect
248. #13094008C23semidirect
249. #13094007C23semidirect
250. #13094006C23semidirect
251. #13094006C23semidirect
252. #13094005C23semidirect
253. #13094004C23semidirect
254. #13094003C23semidirect
255. #13094002C23semidirect
256. #13094001C23semidirect
257. #13094000C23semidirect
258. #13093999C23semidirect
259. #13093999C23semidirect
260. #13093998C23semidirect
261. #13093998C23semidirect
262. #13093997C23semidirect
263. #13093997C23semidirect
264. #13093997C23semidirect
265. #13093996C23semidirect
266. #13093996C23semidirect
267. #13093996C23semidirect
268. #13093995C23semidirect
269. #13093995C23semidirect
270. #13093994C23semidirect
271. #13093994C23semidirect
272. #13093994C23semidirect
273. #13093993C23semidirect
274. #13093992C23semidirect
275. #13093992C23semidirect
276. #13093992C23semidirect
277. C4×D188C23semidirect
278. C4×D188C23semidirect
279. D4×Dic47C23semidirect
280. D4×Dic47C23semidirect
281. #13093986C23semidirect
282. #13093986C23semidirect
283. C4×C22⋊D47C23semidirect
284. C4×C22⋊D47C23semidirect
285. C4×C22⋊D47C23semidirect
286. (C22⋊D47)⋊C4C23semidirect
287. (C22⋊D47)⋊C4C23semidirect
288. (C22⋊D47)⋊C4C23semidirect
289. C2×C4⋊Dic47C23semidirect
290. C2×C4⋊Dic47C23semidirect
291. C2×C4⋊Dic47C23semidirect
292. C2×Dic47⋊C4C23semidirect
293. C2×Dic47⋊C4C23semidirect
294. C2×Dic47⋊C4C23semidirect
295. C2×Dic47⋊C4C23semidirect
296. C2×Dic47⋊C4C23semidirect
297. C4⋊C4×D47C23semidirect
298. C4⋊C4×D47C23semidirect
299. C4⋊C4×D47C23semidirect
302. C2×C22⋊Dic47C23semidirect
303. C2×C22⋊Dic47C23semidirect
304. C2×C22⋊Dic47C23semidirect
305. C2×C22⋊Dic47C23semidirect
306. C2×C22⋊Dic47C23semidirect
307. C2×C22⋊Dic47C23semidirect
312. C2×(C2×D47)⋊C4C23semidirect
313. C2×(C2×D47)⋊C4C23semidirect
314. C2×(C2×D47)⋊C4C23semidirect
315. C2×(C2×D47)⋊C4C23semidirect
316. C2×(C2×D47)⋊C4C23semidirect
317. C2×(C2×D47)⋊C4C23semidirect
318. C2×(C2×D47)⋊C4C23semidirect
319. C2×(C2×D47)⋊C4C23semidirect
320. C2×(C2×D47)⋊C4C23semidirect
321. C2×(C2×D47)⋊C4C23semidirect
322. C2×(C2×D47)⋊C4C23semidirect
323. C2×(C2×D47)⋊C4C23semidirect
326. C22⋊C4×D47C23semidirect
327. C22⋊C4×D47C23semidirect
328. C22⋊C4×D47C23semidirect
329. C22⋊C4×D47C23semidirect
330. C22⋊C4×D47C23semidirect
331. C22⋊C4×D47C23semidirect
332. C22⋊C4×D47C23semidirect
333. C22⋊C4×D47C23semidirect
334. C22⋊C4×D47C23semidirect
335. C2×C4×Dic47C23semidirect
336. C2×C4×Dic47C23semidirect
337. C2×C4×Dic47C23semidirect
338. C42×D47C23semidirect
341. C2×#41×C47C23semidirect
342. C22×Q8×C47C23semidirect
348. C22×D4×C47C23semidirect
349. C22×D4×C47C23semidirect
350. C22×D4×C47C23semidirect
352. C23×C4×C47C23semidirect
353. C23×C4×C47C23semidirect
354. C23×C4×C47C23semidirect
355. #124×C47C23semidirect
356. #123×C47C23semidirect
357. C22⋊Q8×C47C23semidirect
358. #121×C47C23semidirect
359. #121×C47C23semidirect
360. #120×C47C23semidirect
361. C4×D4×C47C23semidirect
362. C4×D4×C47C23semidirect
363. C2×C4⋊C4×C47C23semidirect
364. C2×C4⋊C4×C47C23semidirect
365. C2×C4⋊C4×C47C23semidirect
368. C2×C22⋊C4×C47C23semidirect
369. C2×C22⋊C4×C47C23semidirect
370. C2×C22⋊C4×C47C23semidirect
371. C2×C22⋊C4×C47C23semidirect
372. C2×C22⋊C4×C47C23semidirect
373. C2×C22⋊C4×C47C23semidirect
374. C2×C42×C47C23semidirect
407. C23×D47#41semidirect
422. C2×Q8×C47C24semidirect
429. C2×D4×C47C2×D4semidirect
434. C2×D4×C47C24semidirect
435. C2×D4×C47C24semidirect
448. C22×C4×C47C24semidirect
449. C22×C4×C47C24semidirect
450. C22×C4×C47C24semidirect
461. C2×C22⋊D47C2×D4semidirect
468. C2×C22⋊D47C24semidirect
469. C2×C22⋊D47C24semidirect
470. C2×C22⋊D47C24semidirect
471. C2×C22⋊D47C24semidirect
484. C22×Dic47C24semidirect
485. C22×Dic47C24semidirect
486. C22×Dic47C24semidirect
499. D4×D47C2×D4semidirect
508. C2×D188C2×D4semidirect
513. C2×D188C24semidirect
514. C2×D188C24semidirect
543. C2×C4×D47C24semidirect
544. C2×C4×D47C24semidirect
545. C2×C4×D47C24semidirect
546. C2×C4×D47C24semidirect
547. C2×C4×D47C24semidirect
548. C2×C4×D47C24semidirect
551. C2×Dic94C24semidirect
552. C2×Dic94C24semidirect
553. C4⋊C4×C47C24semidirect
554. C4⋊C4×C47C24semidirect
555. C4⋊C4×C47C24semidirect
558. C22⋊C4×C47C24semidirect
559. C22⋊C4×C47C24semidirect
560. C22⋊C4×C47C24semidirect
561. C22⋊C4×C47C24semidirect
562. C22⋊C4×C47C24semidirect
563. C42×C47C24semidirect
566. C22⋊Dic47C24semidirect
567. C22⋊Dic47C24semidirect
568. C22⋊Dic47C24semidirect
569. C22⋊Dic47C24semidirect
570. C22⋊Dic47C24semidirect
575. (C2×D47)⋊C4C24semidirect
576. (C2×D47)⋊C4C24semidirect
577. (C2×D47)⋊C4C24semidirect
578. (C2×D47)⋊C4C24semidirect
579. (C2×D47)⋊C4C24semidirect
580. (C2×D47)⋊C4C24semidirect
581. (C2×D47)⋊C4C24semidirect
582. (C2×D47)⋊C4C24semidirect
583. (C2×D47)⋊C4C24semidirect
584. (C2×D47)⋊C4C24semidirect
585. C4⋊Dic47C24semidirect
586. C4⋊Dic47C24semidirect
587. C4⋊Dic47C24semidirect
588. Dic47⋊C4C24semidirect
589. Dic47⋊C4C24semidirect
590. Dic47⋊C4C24semidirect
591. Dic47⋊C4C24semidirect
592. Dic47⋊C4C24semidirect
593. C4×Dic47C24semidirect
594. C4×Dic47C24semidirect
595. C4×Dic47C24semidirect
611. C23×C47C2×#41semidirect
658. C22×D47C2×#41semidirect
659. C22×D47C2×#41semidirect
672. D4×C47C22×D4semidirect
700. C22⋊D47C22×D4semidirect
724. D188C22×D4semidirect
761. C22×C47C22×#41semidirect
785. C2×D47#546direct (N × H)
789. C2×D47C22×#41semidirect
819. C2×#546D47direct (N × H)
833. C2×C47C2×#546semidirect
841. D47C2×#546direct (N × H)
850. C22×#41C2×D47semidirect
865. C23×D4C2×D47semidirect
881. #546C2×D47direct (N × H)
888. C2×#124C2×D47semidirect
897. C2×#123C2×D47semidirect
904. C2×C22⋊Q8C2×D47semidirect
919. C2×#121C2×D47semidirect
920. C2×#121C2×D47semidirect
929. C2×#120C2×D47semidirect
944. C2×C4×D4C2×D47semidirect
945. C2×C4×D4C2×D47semidirect
964. C22×C22⋊C4C2×D47semidirect
966. C47C22×#546semidirect
991. C2×#41C22×D47semidirect
996. C22×Q8C22×D47semidirect
1041. C22×D4C22×D47semidirect
1042. C22×D4C22×D47semidirect
1043. C22×D4C22×D47semidirect
1072. C23×C4C22×D47semidirect
1073. C23×C4C22×D47semidirect
1074. C23×C4C22×D47semidirect
1080. #124C22×D47semidirect
1088. #123C22×D47semidirect
1094. C22⋊Q8C22×D47semidirect
1107. #121C22×D47semidirect
1108. #121C22×D47semidirect
1116. #120C22×D47semidirect
1129. C4×D4C22×D47semidirect
1130. C4×D4C22×D47semidirect
1142. C2×C4⋊C4C22×D47semidirect
1143. C2×C4⋊C4C22×D47semidirect
1144. C2×C4⋊C4C22×D47semidirect
1182. C2×C22⋊C4C22×D47semidirect
1183. C2×C22⋊C4C22×D47semidirect
1184. C2×C22⋊C4C22×D47semidirect
1185. C2×C22⋊C4C22×D47semidirect
1186. C2×C22⋊C4C22×D47semidirect
1187. C2×C22⋊C4C22×D47semidirect
1192. C2×C42C22×D47semidirect
1250. C2×Q8C23×D47semidirect
1300. C2×D4D4×D47semidirect
1305. C2×D4C23×D47semidirect
1306. C2×D4C23×D47semidirect
1368. C22×C4C23×D47semidirect
1369. C22×C4C23×D47semidirect
1370. C22×C4C23×D47semidirect
1379. C4⋊C4C23×D47semidirect
1380. C4⋊C4C23×D47semidirect
1381. C4⋊C4C23×D47semidirect
1405. C22⋊C4C23×D47semidirect
1406. C22⋊C4C23×D47semidirect
1407. C22⋊C4C23×D47semidirect
1408. C22⋊C4C23×D47semidirect
1409. C22⋊C4C23×D47semidirect
1413. C42C23×D47semidirect
1478. C23#41×D47semidirect
1508. D4C2×D4×D47semidirect
1605. C22C2×#41×D47semidirect
1631. C2#546×D47direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41×D472
C23×D4×D472
C2×#156897702
C2×#156897692
C2×#156897682
C2×#156897672
C2×#156897662
C2×#156897652
C2×#156897642
C2×#156897632
C2×#156897622
C2×#156897612
C2×#156897602
#546×D472
C2×#124×D472
C2×#123×D472
C2×C22⋊Q8×D472
C2×#121×D472
C2×#120×D472
C2×C4×D4×D472
C22×C22⋊C4×D472
C2×C47×#5462
C22×#54647