Finite Group Databasebeta

← C47×#63054 #26102752

Subgroups — C47×#63054 #26102752

Order 12032.

6624 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3565C214yesmaximal, complemented
2C47×#3561C214yesmaximal, complemented
3C47×#3559C212yesmaximal, complemented
4C47×#3554C214yesmaximal, complemented
5C47×#3553C212yesmaximal, complemented
6C47×#3548C211yesmaximal, characteristic, complemented
7C47×#3547C214yesmaximal, complemented
8C47×#3541C218yesmaximal, complemented
9C47×#3536C218yesmaximal, complemented
10C47×#3535C218yesmaximal, complemented
11C47×#3531C211yesmaximal, characteristic, complemented
12C2×C47×#562C212yesmaximal, complemented
13C47×#3519C214yesmaximal, complemented
14C47×#3514C212yesmaximal, complemented
15C47×#3513C214yesmaximal, complemented
16C47×#3504C211yesmaximal, characteristic, complemented
17C47×#3501C214yesmaximal, complemented
18C47×#564C2211yescharacteristic, complemented
19C47×#563C2214yescomplemented
20C47×#563C2212yescomplemented
21C47×#563C2218yescomplemented
22C47×#563C2214yescomplemented
23C47×#563C2214yescomplemented
24C47×#562C2211yescharacteristic
25C47×#562C2218yescomplemented
26C47×#562C2218yescomplemented
27C47×#562C2212yescomplemented
28C47×#562C2212yescomplemented
29C47×#562C2218yescomplemented
30C47×#562C2218yescomplemented
31C47×#562C2214yescomplemented
32C47×#562C2218yescomplemented
33C47×#562C2214yescomplemented
34C47×#559C2214yescomplemented
35C47×#559C2212yescomplemented
36C47×#557C2214yescomplemented
37C47×#556C2218yescomplemented
38C47×#556C2212yescomplemented
39C47×#555C2214yescomplemented
40C47×#555C2214yescomplemented
41C47×#554C2214yes—
42C47×#554C2214yes—
43C47×#554C2214yescomplemented
44C47×#554C2214yescomplemented
45C47×#554C2218yescomplemented
46C47×#554C2214yescomplemented
47C47×#554C2218yescomplemented
48C47×#554C2218yescomplemented
49C47×#554C2218yescomplemented
50C47×#553C2214yescomplemented
51C47×#553C2214yescomplemented
52C47×#553C2218yescomplemented
53C47×#553C2214yescomplemented
54C47×#553C2218yescomplemented
55C47×#552C2218yescomplemented
56C47×#552C2214yescomplemented
57C47×#552C2218yescomplemented
58C47×#551C2218yescomplemented
59C47×#551C2218yescomplemented
60C47×#551C2218yescomplemented
61C47×#550C2214yescomplemented
62D4×Q8×C47C2212yes—
63D4×Q8×C47C2214yescomplemented
64D4×Q8×C47C2218yescomplemented
65C47×#548C2218yescomplemented
66C47×#548C2218yescomplemented
67C47×#548C2214yescomplemented
68C47×#547C2214yescomplemented
69C47×#547C2214yescomplemented
70C47×#547C2218yescomplemented
71C47×#547C2218yescomplemented
72C47×#546C2214yes—
73C47×#546C2218yescomplemented
74C47×#546C2218yescomplemented
75C47×#546C2214yescomplemented
76C47×#546C2218yescomplemented
77C47×#546C2218yescomplemented
78D42×C47C2214yes—
79D42×C47C2212yes—
80C47×#544C2212yescomplemented
81C47×#544C2214yescomplemented
82C47×#544C2214yescomplemented
83C47×#544C2214yescomplemented
84C47×#543C2218yescomplemented
85C47×#543C2218yescomplemented
86C47×#542C2218yescomplemented
87C47×#542C2218yescomplemented
88C47×#542C2218yescomplemented
89C47×#542C2214yescomplemented
90C47×#542C2214yescomplemented
91C47×#542C2218yescomplemented
92C47×#542C2218yescomplemented
93C47×#541C2218yescomplemented
94C47×#540C2214yescomplemented
95C47×#540C2214yescomplemented
96C47×#540C2214yescomplemented
97C47×#539C2218yescomplemented
98C47×#539C2218yescomplemented
99C47×#539C2218yescomplemented
100C47×#539C2218yescomplemented
101C47×#539C2214yescomplemented
102C47×#539C2218yescomplemented
103C47×#538C2218yescomplemented
104C47×#538C2218yescomplemented
105C47×#538C2218yescomplemented
106C47×#538C2218yescomplemented
107C47×#537C2218yescomplemented
108C47×#537C2218yescomplemented
109C47×#537C2214yescomplemented
110C47×#536C2218yescomplemented
111C47×#536C2218yescomplemented
112C47×#533C2214yescomplemented
113C47×#533C2211yescharacteristic, complemented
114C47×#533C2214yescomplemented
115C47×#533C2212yescomplemented
116C47×#532C2214yescomplemented
117C47×#532C2212yescomplemented
118C47×#529C2214yescomplemented
119C47×#529C2214yescomplemented
120C47×#529C2214yescomplemented
121C47×#529C2212yescomplemented
122C47×#529C2214yescomplemented
123C2×#125×C47C2212yescomplemented
124C2×#125×C47C2211yescharacteristic, complemented
125C2×#124×C47C2214yescomplemented
126C47×#525C2218yescomplemented
127C47×#525C2218yescomplemented
128C2×#123×C47C2218yescomplemented
129C2×C22⋊Q8×C47C2218yescomplemented
130C2×C22⋊Q8×C47C2218yescomplemented
131C2×#121×C47C2218yescomplemented
132C47×#520C2212yes—
133C47×#518C2214yes—
134C47×#518C2214yes—
135C4×#41×C47C2211yescharacteristic
136C2×C4×D4×C47C2214yes—
137C2×#41×C47C2311yescharacteristic
138C2×#41×C47C2318yes—
139C2×#41×C47C2318yes—
140C2×#41×C47C2318yes—
141C2×#41×C47C2314yes—
142C22×Q8×C47C2314yes—
143C22×Q8×C47C2318yes—
144C22×D4×C47C2314yes—
145C22×D4×C47C2318yes—
146C22×D4×C47C2314yes—
147C23×C4×C47C2318yes—
148C4⋊Q8×C47C2312yes—
149C4⋊Q8×C47C2314yes—
150C4⋊Q8×C47C2314yes—
151C4⋊Q8×C47C2314yes—
152C4⋊Q8×C47C2314yes—
153C4⋊Q8×C47C2314yes—
154C4⋊Q8×C47C2314yes—
155C4⋊Q8×C47C2312yes—
156C4⋊Q8×C47C2318yes—
157C4⋊Q8×C47C2318yes—
158C4⋊Q8×C47C2318yes—
159#127×C47C2312yes—
160#127×C47C2314yes—
161#126×C47C2314yes—
162#126×C47C2314yes—
163#126×C47C2318yes—
164#126×C47C2318yes—
165#126×C47C2314yes—
166#126×C47C2314yes—
167#126×C47C2314yes—
168#126×C47C2318yes—
169#126×C47C2318yes—
170#126×C47C2318yes—
171#126×C47C2318yes—
172#126×C47C2318yes—
173#126×C47C2318yes—
174#125×C47C2311yescharacteristic
175#125×C47C2312yes—
176#125×C47C2312yes—
177#125×C47C2318yes—
178#125×C47C2314yes—
179#125×C47C2314yes—
180#125×C47C2312yes—
181#125×C47C2314yes—
182#125×C47C2314yes—
183#125×C47C2314yes—
184#125×C47C2311yescharacteristic
185#125×C47C2314yes—
186#125×C47C2314yes—
187#125×C47C2314yes—
188#125×C47C2314yes—
189#125×C47C2318yes—
190#125×C47C2318yes—
191#125×C47C2318yes—
192#125×C47C2318yes—
193#124×C47C2312yes—
194#124×C47C2314yes—
195#124×C47C2318yes—
196#124×C47C2318yes—
197#124×C47C2314yes—
198#124×C47C2314yes—
199#124×C47C2314yes—
200#124×C47C2314yes—
201#124×C47C2314yes—
202#124×C47C2318yes—
203#124×C47C2318yes—
204#124×C47C2318yes—
205#124×C47C2318yes—
206#124×C47C2318yes—
207#124×C47C2318yes—
208#123×C47C2314yes—
209#123×C47C2318yes—
210#123×C47C2318yes—
211#123×C47C2318yes—
212#123×C47C2318yes—
213#123×C47C2318yes—
214#123×C47C2318yes—
215#123×C47C2318yes—
216#123×C47C2314yes—
217#123×C47C2318yes—
218#123×C47C2318yes—
219#123×C47C2314yes—
220#123×C47C2318yes—
221#123×C47C2314yes—
222#123×C47C2314yes—
223#123×C47C2318yes—
224#123×C47C2318yes—
225#123×C47C2318yes—
226#123×C47C2318yes—
227#123×C47C2318yes—
228#123×C47C2318yes—
229#123×C47C2318yes—
230#123×C47C2318yes—
231#123×C47C2318yes—
232C22⋊Q8×C47C2314yes—
233C22⋊Q8×C47C2318yes—
234C22⋊Q8×C47C2314yes—
235C22⋊Q8×C47C2318yes—
236C22⋊Q8×C47C2318yes—
237C22⋊Q8×C47C2318yes—
238C22⋊Q8×C47C2318yes—
239C22⋊Q8×C47C2318yes—
240C22⋊Q8×C47C2318yes—
241C22⋊Q8×C47C2318yes—
242C22⋊Q8×C47C2318yes—
243C22⋊Q8×C47C2318yes—
244C22⋊Q8×C47C2318yes—
245C22⋊Q8×C47C2318yes—
246C22⋊Q8×C47C2318yes—
247C22⋊Q8×C47C2314yes—
248C22⋊Q8×C47C2318yes—
249C22⋊Q8×C47C2318yes—
250C22⋊Q8×C47C2318yes—
251C22⋊Q8×C47C2314yes—
252C22⋊Q8×C47C2312yes—
253C22⋊Q8×C47C2314yes—
254C22⋊Q8×C47C2314yes—
255C22⋊Q8×C47C2318yes—
256C22⋊Q8×C47C2314yes—
257C22⋊Q8×C47C2318yes—
258C22⋊Q8×C47C2314yes—
259C22⋊Q8×C47C2314yes—
260C22⋊Q8×C47C2318yes—
261C22⋊Q8×C47C2318yes—
262C22⋊Q8×C47C2318yes—
263C22⋊Q8×C47C2318yes—
264C22⋊Q8×C47C2318yes—
265C22⋊Q8×C47C2318yes—
266C22⋊Q8×C47C2318yes—
267C22⋊Q8×C47C2318yes—
268C22⋊Q8×C47C2318yes—
269C22⋊Q8×C47C2318yes—
270C22⋊Q8×C47C2318yes—
271#121×C47C2314yes—
272#121×C47C2318yes—
273#121×C47C2318yes—
274#121×C47C2318yes—
275#121×C47C2318yes—
276#121×C47C2318yes—
277#121×C47C2318yes—
278#121×C47C2318yes—
279#121×C47C2318yes—
280#121×C47C2318yes—
281#121×C47C2318yes—
282#121×C47C2312yes—
283#121×C47C2314yes—
284#121×C47C2314yes—
285#121×C47C2314yes—
286#121×C47C2314yes—
287#121×C47C2314yes—
288#121×C47C2314yes—
289#121×C47C2314yes—
290#121×C47C2318yes—
291#121×C47C2318yes—
292#121×C47C2318yes—
293#121×C47C2318yes—
294#121×C47C2318yes—
295#121×C47C2318yes—
296#121×C47C2318yes—
297#120×C47C2318yes—
298#120×C47C2318yes—
299#120×C47C2318yes—
300#120×C47C2318yes—
301C4×Q8×C47C2312yes—
302C4×Q8×C47C2314yes—
303C4×Q8×C47C2312yes—
304C4×Q8×C47C2314yes—
305C4×Q8×C47C2314yes—
306C4×Q8×C47C2314yes—
307C4×Q8×C47C2318yes—
308C4×Q8×C47C2318yes—
309C4×Q8×C47C2318yes—
310C4×D4×C47C2314yes—
311C4×D4×C47C2314yes—
312C4×D4×C47C2318yes—
313C4×D4×C47C2318yes—
314C4×D4×C47C2314yes—
315C4×D4×C47C2314yes—
316C4×D4×C47C2312yes—
317C4×D4×C47C2314yes—
318C4×D4×C47C2318yes—
319C4×D4×C47C2318yes—
320C4×D4×C47C2318yes—
321C4×D4×C47C2318yes—
322C4×D4×C47C2314yes—
323C4×D4×C47C2314yes—
324C4×D4×C47C2314yes—
325C4×D4×C47C2314yes—
326C4×D4×C47C2318yes—
327C4×D4×C47C2318yes—
328C4×D4×C47C2318yes—
329C4×D4×C47C2318yes—
330C4×D4×C47C2318yes—
331C4×D4×C47C2314yes—
332C4×D4×C47C2312yes—
333C4×D4×C47C2314yes—
334C4×D4×C47C2314yes—
335C4×D4×C47C2318yes—
336C4×D4×C47C2318yes—
337C4×D4×C47C2314yes—
338#117×C47C2312yes—
339#117×C47C2311yescharacteristic
340#117×C47C2314yes—
341#117×C47C2314yes—
342#117×C47C2314yes—
343#117×C47C2314yes—
344#117×C47C2312yes—
345#117×C47C2314yes—
346#117×C47C2318yes—
347#117×C47C2318yes—
348#117×C47C2318yes—
349#117×C47C2318yes—
350C2×C4⋊C4×C47C2314yes—
351C2×C4⋊C4×C47C2314yes—
352C2×C4⋊C4×C47C2312yes—
353C2×C4⋊C4×C47C2318yes—
354C2×C4⋊C4×C47C2318yes—
355C2×C4⋊C4×C47C2318yes—
356C2×C4⋊C4×C47C2318yes—
357C2×C4⋊C4×C47C2318yes—
358C2×C4⋊C4×C47C2314yes—
359C2×C22⋊C4×C47C2318yes—
360C2×C22⋊C4×C47C2318yes—
361C2×C22⋊C4×C47C2318yes—
362C2×C22⋊C4×C47C2318yes—
363C2×C22⋊C4×C47C2318yes—
364C2×C22⋊C4×C47C2318yes—
365C2×C42×C47C2314yes—
366C2×C42×C47C2312yes—
367C2×C42×C47C2311yescharacteristic
368C24×C47C2418yes—
369#41×C47—24no—
370#41×C47—88no—
371#41×C47—88no—
372#41×C47—88no—
373#41×C47—84no—
374C2×Q8×C47—84no—
375C2×Q8×C47—88no—
376C2×Q8×C47C2411yescharacteristic
377C2×Q8×C47C2418yes—
378C2×Q8×C47C2414yes—
379C2×Q8×C47C2418yes—
380C2×Q8×C47C2412yes—
381C2×Q8×C47C2414yes—
382C2×Q8×C47C2414yes—
383C2×Q8×C47C2418yes—
384C2×D4×C47—216no—
385C2×D4×C47—88no—
386C2×D4×C47—84no—
387C2×D4×C47C2412yes—
388C2×D4×C47C2418yes—
389C2×D4×C47C2414yes—
390C2×D4×C47C2414yes—
391C2×D4×C47C2414yes—
392C2×D4×C47C2418yes—
393C2×D4×C47C2418yes—
394C2×D4×C47C2418yes—
395C2×D4×C47C2418yes—
396C2×D4×C47C2418yes—
397C2×D4×C47C2414yes—
398C2×D4×C47C2418yes—
399C2×D4×C47C2412yes—
400C2×D4×C47C2414yes—
401C2×D4×C47C2411yescharacteristic
402C22×C4×C47—88no—
403C22×C4×C47C2412yes—
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2414yes—
406C22×C4×C47C2414yes—
407C22×C4×C47C2414yes—
408C22×C4×C47C2412yes—
409C22×C4×C47C2414yes—
410C22×C4×C47C2418yes—
411C22×C4×C47C2418yes—
412C22×C4×C47C2418yes—
413C22×C4×C47C2418yes—
414C22×C4×C47C2418yes—
415C22×C4×C47C2418yes—
416C22×C4×C47C2418yes—
417C22×C4×C47C2414yes—
418C22×C4×C47C2418yes—
419C22×C4×C47C2418yes—
420C4⋊C4×C47C2414yes—
421C4⋊C4×C47C2414yes—
422C4⋊C4×C47C2412yes—
423C4⋊C4×C47C2414yes—
424C4⋊C4×C47C2418yes—
425C4⋊C4×C47C2418yes—
426C4⋊C4×C47C2414yes—
427C4⋊C4×C47C2418yes—
428C4⋊C4×C47C2414yes—
429C4⋊C4×C47C2418yes—
430C4⋊C4×C47C2418yes—
431C4⋊C4×C47C2414yes—
432C4⋊C4×C47C2414yes—
433C4⋊C4×C47C2418yes—
434C4⋊C4×C47C2414yes—
435C4⋊C4×C47C2414yes—
436C4⋊C4×C47C2418yes—
437C4⋊C4×C47C2418yes—
438C4⋊C4×C47C2418yes—
439C4⋊C4×C47C2418yes—
440C4⋊C4×C47C2418yes—
441C4⋊C4×C47C2418yes—
442C4⋊C4×C47C2412yes—
443C4⋊C4×C47C2412yes—
444C4⋊C4×C47C2414yes—
445C4⋊C4×C47C2414yes—
446C4⋊C4×C47C2418yes—
447C4⋊C4×C47C2414yes—
448C4⋊C4×C47C2414yes—
449C4⋊C4×C47C2414yes—
450C4⋊C4×C47C2414yes—
451C4⋊C4×C47C2414yes—
452C4⋊C4×C47C2412yes—
453C4⋊C4×C47C2414yes—
454C4⋊C4×C47C2412yes—
455C4⋊C4×C47C2418yes—
456C4⋊C4×C47C2414yes—
457C22⋊C4×C47C2418yes—
458C22⋊C4×C47C2418yes—
459C22⋊C4×C47C2414yes—
460C22⋊C4×C47C2414yes—
461C22⋊C4×C47C2418yes—
462C22⋊C4×C47C2414yes—
463C22⋊C4×C47C2418yes—
464C22⋊C4×C47C2414yes—
465C22⋊C4×C47C2414yes—
466C22⋊C4×C47C2414yes—
467C22⋊C4×C47C2418yes—
468C22⋊C4×C47C2418yes—
469C22⋊C4×C47C2418yes—
470C22⋊C4×C47C2418yes—
471C22⋊C4×C47C2418yes—
472C22⋊C4×C47C2418yes—
473C22⋊C4×C47C2418yes—
474C22⋊C4×C47C2418yes—
475C22⋊C4×C47C2418yes—
476C22⋊C4×C47C2414yes—
477C22⋊C4×C47C2418yes—
478C22⋊C4×C47C2418yes—
479C22⋊C4×C47C2414yes—
480C22⋊C4×C47C2412yes—
481C22⋊C4×C47C2414yes—
482C22⋊C4×C47C2414yes—
483C22⋊C4×C47C2418yes—
484C22⋊C4×C47C2418yes—
485C22⋊C4×C47C2414yes—
486C42×C47C2411yescharacteristic
487C42×C47C2412yes—
488C42×C47C2414yes—
489C42×C47C2414yes—
490C42×C47C2412yes—
491C42×C47C2411yescharacteristic
492C42×C47C2414yes—
493C42×C47C2414yes—
494C42×C47C2414yes—
495C42×C47C2418yes—
496C42×C47C2418yes—
497C42×C47C2418yes—
498C23×C47—216no—
499C23×C47—48no—
500C23×C47—48no—
501C23×C47C2514yes—
502C23×C47C2518yes—
503C23×C47C2511yescharacteristic
504C23×C47C2512yes—
505Q8×C47—22no—
506Q8×C47—48no—
507Q8×C47—44no—
508Q8×C47—42no—
509Q8×C47—48no—
510Q8×C47—48no—
511Q8×C47—44no—
512Q8×C47—44no—
513D4×C47—216no—
514D4×C47—24no—
515D4×C47—28no—
516D4×C47—44no—
517D4×C47—42no—
518D4×C47—48no—
519D4×C47—48no—
520D4×C47—48no—
521D4×C47—44no—
522D4×C47—48no—
523D4×C47—44no—
524D4×C47—44no—
525D4×C47—48no—
526D4×C47—48no—
527D4×C472−1+414yes—
528C2×C4×C47—24no—
529C2×C4×C47—28no—
530C2×C4×C47—22no—
531C2×C4×C47—44no—
532C2×C4×C47—48no—
533C2×C4×C47—48no—
534C2×C4×C47—48no—
535C2×C4×C47—48no—
536C2×C4×C47—48no—
537C2×C4×C47—44no—
538C2×C4×C47—48no—
539C2×C4×C47—48no—
540C2×C4×C47—44no—
541C2×C4×C47—48no—
542C2×C4×C47—48no—
543C2×C4×C47—42no—
544C2×C4×C47—44no—
545C2×C4×C47C2512yes—
546C2×C4×C47C2514yes—
547C2×C4×C47C2511yescharacteristic
548C2×C4×C47C2514yes—
549C2×C4×C47C2514yes—
550C2×C4×C47C2512yes—
551C2×C4×C47C2514yes—
552C2×C4×C47C2514yes—
553C2×C4×C47C2518yes—
554C2×C4×C47C2512yes—
555C2×C4×C47C2518yes—
556C2×C4×C47C2514yes—
557C2×C4×C47C2511yescharacteristic
558#63054C4711yesmaximal, characteristic, direct product factor, Sylow
559C22×C47—24no—
560C22×C47—21no—
561C22×C47—24no—
562C22×C47—28no—
563C22×C47—28no—
564C22×C47—22no—
565C22×C47—24no—
566C22×C47—28no—
567C22×C47—24no—
568C22×C47—816no—
569C22×C47C2×2−1+414yes—
570C22×C47C2611yescharacteristic
571C4×C47—21no—
572C4×C47—24no—
573C4×C47—22no—
574C4×C47—24no—
575C4×C47—28no—
576C4×C47—22no—
577C4×C47—28no—
578C4×C47—24no—
579C4×C47—24no—
580C4×C47—22no—
581C4×C47—24no—
582C4×C47—24no—
583C4×C47C2×2−1+412yes—
584#3565C2×C4714yescomplemented
585#3561C2×C4714yescomplemented
586#3559C2×C4712yescomplemented
587#3554C2×C4714yescomplemented
588#3553C2×C4712yescomplemented
589#3548C2×C4711yescharacteristic, complemented
590#3547C2×C4714yescomplemented
591#3541C2×C4718yescomplemented
592#3536C2×C4718yescomplemented
593#3535C2×C4718yescomplemented
594#3531C2×C4711yescharacteristic, complemented
595C2×#562C2×C4712yescomplemented
596#3519C2×C4714yescomplemented
597#3514C2×C4712yescomplemented
598#3513C2×C4714yescomplemented
599#3504C2×C4711yescharacteristic, complemented
600#3501C2×C4714yescomplemented
601C2×C47—24no—
602C2×C47—41no—
603C2×C47—48no—
604C2×C47—44no—
605C2×C47C22×2−1+411yescharacteristic
606C2×C47H(7,𝔽2)12yes—
607#564C22×C4711yescharacteristic, complemented
608#563C22×C4714yescomplemented
609#563C22×C4714yescomplemented
610#563C22×C4712yescomplemented
611#563C22×C4718yescomplemented
612#563C22×C4714yescomplemented
613#562C22×C4711yescharacteristic
614#562C22×C4718yescomplemented
615#562C22×C4718yescomplemented
616#562C22×C4718yescomplemented
617#562C22×C4712yescomplemented
618#562C22×C4714yescomplemented
619#562C22×C4714yescomplemented
620#562C22×C4718yescomplemented
621#562C22×C4718yescomplemented
622#562C22×C4712yescomplemented
623#559C22×C4714yescomplemented
624#559C22×C4712yescomplemented
625#557C22×C4714yescomplemented
626#556C22×C4712yescomplemented
627#556C22×C4718yescomplemented
628#555C22×C4714yescomplemented
629#555C22×C4714yescomplemented
630#554C22×C4714yes—
631#554C22×C4714yes—
632#554C22×C4718yescomplemented
633#554C22×C4718yescomplemented
634#554C22×C4718yescomplemented
635#554C22×C4714yescomplemented
636#554C22×C4714yescomplemented
637#554C22×C4714yescomplemented
638#554C22×C4718yescomplemented
639#553C22×C4718yescomplemented
640#553C22×C4714yescomplemented
641#553C22×C4718yescomplemented
642#553C22×C4714yescomplemented
643#553C22×C4714yescomplemented
644#552C22×C4714yescomplemented
645#552C22×C4718yescomplemented
646#552C22×C4718yescomplemented
647#551C22×C4718yescomplemented
648#551C22×C4718yescomplemented
649#551C22×C4718yescomplemented
650#550C22×C4714yescomplemented
651D4×Q8C22×C4712yes—
652D4×Q8C22×C4718yescomplemented
653D4×Q8C22×C4714yescomplemented
654#548C22×C4714yescomplemented
655#548C22×C4718yescomplemented
656#548C22×C4718yescomplemented
657#547C22×C4714yescomplemented
658#547C22×C4714yescomplemented
659#547C22×C4718yescomplemented
660#547C22×C4718yescomplemented
661#546C22×C4714yes—
662#546C22×C4718yescomplemented
663#546C22×C4714yescomplemented
664#546C22×C4718yescomplemented
665#546C22×C4718yescomplemented
666#546C22×C4718yescomplemented
667D42C22×C4714yes—
668D42C22×C4712yes—
669#544C22×C4714yescomplemented
670#544C22×C4714yescomplemented
671#544C22×C4714yescomplemented
672#544C22×C4712yescomplemented
673#543C22×C4718yescomplemented
674#543C22×C4718yescomplemented
675#542C22×C4714yescomplemented
676#542C22×C4714yescomplemented
677#542C22×C4718yescomplemented
678#542C22×C4718yescomplemented
679#542C22×C4718yescomplemented
680#542C22×C4718yescomplemented
681#542C22×C4718yescomplemented
682#541C22×C4718yescomplemented
683#540C22×C4714yescomplemented
684#540C22×C4714yescomplemented
685#540C22×C4714yescomplemented
686#539C22×C4718yescomplemented
687#539C22×C4718yescomplemented
688#539C22×C4718yescomplemented
689#539C22×C4718yescomplemented
690#539C22×C4718yescomplemented
691#539C22×C4714yescomplemented
692#538C22×C4718yescomplemented
693#538C22×C4718yescomplemented
694#538C22×C4718yescomplemented
695#538C22×C4718yescomplemented
696#537C22×C4718yescomplemented
697#537C22×C4714yescomplemented
698#537C22×C4718yescomplemented
699#536C22×C4718yescomplemented
700#536C22×C4718yescomplemented
701#533C22×C4714yescomplemented
702#533C22×C4714yescomplemented
703#533C22×C4711yescharacteristic, complemented
704#533C22×C4712yescomplemented
705#532C22×C4712yescomplemented
706#532C22×C4714yescomplemented
707#529C22×C4714yescomplemented
708#529C22×C4714yescomplemented
709#529C22×C4712yescomplemented
710#529C22×C4714yescomplemented
711#529C22×C4714yescomplemented
712C2×#125C22×C4712yescomplemented
713C2×#125C22×C4711yescharacteristic, complemented
714C2×#124C22×C4714yescomplemented
715#525C22×C4718yescomplemented
716#525C22×C4718yescomplemented
717C2×#123C22×C4718yescomplemented
718C2×C22⋊Q8C22×C4718yescomplemented
719C2×C22⋊Q8C22×C4718yescomplemented
720C2×#121C22×C4718yescomplemented
721#520C22×C4712yes—
722#518C22×C4714yes—
723#518C22×C4714yes—
724C4×#41C22×C4711yescharacteristic
725C2×C4×D4C22×C4714yes—
726C47#6305411yescharacteristic, direct product factor, Sylow
727C2×#41C23×C4711yescharacteristic
728C2×#41C23×C4718yes—
729C2×#41C23×C4718yes—
730C2×#41C23×C4718yes—
731C2×#41C23×C4714yes—
732C22×Q8C23×C4714yes—
733C22×Q8C23×C4718yes—
734C22×D4C23×C4714yes—
735C22×D4C23×C4718yes—
736C22×D4C23×C4714yes—
737C23×C4C23×C4718yes—
738C4⋊Q8C23×C4712yes—
739C4⋊Q8C23×C4714yes—
740C4⋊Q8C23×C4714yes—
741C4⋊Q8C23×C4714yes—
742C4⋊Q8C23×C4714yes—
743C4⋊Q8C23×C4714yes—
744C4⋊Q8C23×C4714yes—
745C4⋊Q8C23×C4712yes—
746C4⋊Q8C23×C4718yes—
747C4⋊Q8C23×C4718yes—
748C4⋊Q8C23×C4718yes—
749#127C23×C4712yes—
750#127C23×C4714yes—
751#126C23×C4714yes—
752#126C23×C4714yes—
753#126C23×C4718yes—
754#126C23×C4718yes—
755#126C23×C4714yes—
756#126C23×C4714yes—
757#126C23×C4714yes—
758#126C23×C4718yes—
759#126C23×C4718yes—
760#126C23×C4718yes—
761#126C23×C4718yes—
762#126C23×C4718yes—
763#126C23×C4718yes—
764#125C23×C4711yescharacteristic
765#125C23×C4712yes—
766#125C23×C4712yes—
767#125C23×C4718yes—
768#125C23×C4714yes—
769#125C23×C4714yes—
770#125C23×C4712yes—
771#125C23×C4714yes—
772#125C23×C4714yes—
773#125C23×C4714yes—
774#125C23×C4711yescharacteristic
775#125C23×C4714yes—
776#125C23×C4714yes—
777#125C23×C4714yes—
778#125C23×C4714yes—
779#125C23×C4718yes—
780#125C23×C4718yes—
781#125C23×C4718yes—
782#125C23×C4718yes—
783#124C23×C4712yes—
784#124C23×C4714yes—
785#124C23×C4718yes—
786#124C23×C4718yes—
787#124C23×C4714yes—
788#124C23×C4714yes—
789#124C23×C4714yes—
790#124C23×C4714yes—
791#124C23×C4714yes—
792#124C23×C4718yes—
793#124C23×C4718yes—
794#124C23×C4718yes—
795#124C23×C4718yes—
796#124C23×C4718yes—
797#124C23×C4718yes—
798#123C23×C4714yes—
799#123C23×C4718yes—
800#123C23×C4718yes—
801#123C23×C4718yes—
802#123C23×C4718yes—
803#123C23×C4718yes—
804#123C23×C4718yes—
805#123C23×C4718yes—
806#123C23×C4714yes—
807#123C23×C4718yes—
808#123C23×C4718yes—
809#123C23×C4714yes—
810#123C23×C4718yes—
811#123C23×C4714yes—
812#123C23×C4714yes—
813#123C23×C4718yes—
814#123C23×C4718yes—
815#123C23×C4718yes—
816#123C23×C4718yes—
817#123C23×C4718yes—
818#123C23×C4718yes—
819#123C23×C4718yes—
820#123C23×C4718yes—
821#123C23×C4718yes—
822C22⋊Q8C23×C4714yes—
823C22⋊Q8C23×C4718yes—
824C22⋊Q8C23×C4714yes—
825C22⋊Q8C23×C4718yes—
826C22⋊Q8C23×C4718yes—
827C22⋊Q8C23×C4718yes—
828C22⋊Q8C23×C4718yes—
829C22⋊Q8C23×C4718yes—
830C22⋊Q8C23×C4718yes—
831C22⋊Q8C23×C4718yes—
832C22⋊Q8C23×C4718yes—
833C22⋊Q8C23×C4718yes—
834C22⋊Q8C23×C4718yes—
835C22⋊Q8C23×C4718yes—
836C22⋊Q8C23×C4718yes—
837C22⋊Q8C23×C4714yes—
838C22⋊Q8C23×C4718yes—
839C22⋊Q8C23×C4718yes—
840C22⋊Q8C23×C4718yes—
841C22⋊Q8C23×C4714yes—
842C22⋊Q8C23×C4712yes—
843C22⋊Q8C23×C4714yes—
844C22⋊Q8C23×C4714yes—
845C22⋊Q8C23×C4718yes—
846C22⋊Q8C23×C4714yes—
847C22⋊Q8C23×C4718yes—
848C22⋊Q8C23×C4714yes—
849C22⋊Q8C23×C4714yes—
850C22⋊Q8C23×C4718yes—
851C22⋊Q8C23×C4718yes—
852C22⋊Q8C23×C4718yes—
853C22⋊Q8C23×C4718yes—
854C22⋊Q8C23×C4718yes—
855C22⋊Q8C23×C4718yes—
856C22⋊Q8C23×C4718yes—
857C22⋊Q8C23×C4718yes—
858C22⋊Q8C23×C4718yes—
859C22⋊Q8C23×C4718yes—
860C22⋊Q8C23×C4718yes—
861#121C23×C4714yes—
862#121C23×C4718yes—
863#121C23×C4718yes—
864#121C23×C4718yes—
865#121C23×C4718yes—
866#121C23×C4718yes—
867#121C23×C4718yes—
868#121C23×C4718yes—
869#121C23×C4718yes—
870#121C23×C4718yes—
871#121C23×C4718yes—
872#121C23×C4712yes—
873#121C23×C4714yes—
874#121C23×C4714yes—
875#121C23×C4714yes—
876#121C23×C4714yes—
877#121C23×C4714yes—
878#121C23×C4714yes—
879#121C23×C4714yes—
880#121C23×C4718yes—
881#121C23×C4718yes—
882#121C23×C4718yes—
883#121C23×C4718yes—
884#121C23×C4718yes—
885#121C23×C4718yes—
886#121C23×C4718yes—
887#120C23×C4718yes—
888#120C23×C4718yes—
889#120C23×C4718yes—
890#120C23×C4718yes—
891C4×Q8C23×C4712yes—
892C4×Q8C23×C4714yes—
893C4×Q8C23×C4712yes—
894C4×Q8C23×C4714yes—
895C4×Q8C23×C4714yes—
896C4×Q8C23×C4714yes—
897C4×Q8C23×C4718yes—
898C4×Q8C23×C4718yes—
899C4×Q8C23×C4718yes—
900C4×D4C23×C4714yes—
901C4×D4C23×C4714yes—
902C4×D4C23×C4718yes—
903C4×D4C23×C4718yes—
904C4×D4C23×C4714yes—
905C4×D4C23×C4714yes—
906C4×D4C23×C4712yes—
907C4×D4C23×C4714yes—
908C4×D4C23×C4718yes—
909C4×D4C23×C4718yes—
910C4×D4C23×C4718yes—
911C4×D4C23×C4718yes—
912C4×D4C23×C4714yes—
913C4×D4C23×C4714yes—
914C4×D4C23×C4714yes—
915C4×D4C23×C4714yes—
916C4×D4C23×C4718yes—
917C4×D4C23×C4718yes—
918C4×D4C23×C4718yes—
919C4×D4C23×C4718yes—
920C4×D4C23×C4718yes—
921C4×D4C23×C4714yes—
922C4×D4C23×C4712yes—
923C4×D4C23×C4714yes—
924C4×D4C23×C4714yes—
925C4×D4C23×C4718yes—
926C4×D4C23×C4718yes—
927C4×D4C23×C4714yes—
928#117C23×C4712yes—
929#117C23×C4711yescharacteristic
930#117C23×C4714yes—
931#117C23×C4714yes—
932#117C23×C4714yes—
933#117C23×C4714yes—
934#117C23×C4712yes—
935#117C23×C4714yes—
936#117C23×C4718yes—
937#117C23×C4718yes—
938#117C23×C4718yes—
939#117C23×C4718yes—
940C2×C4⋊C4C23×C4714yes—
941C2×C4⋊C4C23×C4714yes—
942C2×C4⋊C4C23×C4712yes—
943C2×C4⋊C4C23×C4718yes—
944C2×C4⋊C4C23×C4718yes—
945C2×C4⋊C4C23×C4718yes—
946C2×C4⋊C4C23×C4718yes—
947C2×C4⋊C4C23×C4718yes—
948C2×C4⋊C4C23×C4714yes—
949C2×C22⋊C4C23×C4718yes—
950C2×C22⋊C4C23×C4718yes—
951C2×C22⋊C4C23×C4718yes—
952C2×C22⋊C4C23×C4718yes—
953C2×C22⋊C4C23×C4718yes—
954C2×C22⋊C4C23×C4718yes—
955C2×C42C23×C4714yes—
956C2×C42C23×C4712yes—
957C2×C42C23×C4711yescharacteristic
958C24C24×C4718yes—
959#41—24no—
960#41—88no—
961#41—88no—
962#41—88no—
963#41—84no—
964C2×Q8—84no—
965C2×Q8—88no—
966C2×Q8C24×C4711yescharacteristic
967C2×Q8C24×C4718yes—
968C2×Q8C24×C4714yes—
969C2×Q8C24×C4718yes—
970C2×Q8C24×C4712yes—
971C2×Q8C24×C4714yes—
972C2×Q8C24×C4714yes—
973C2×Q8C24×C4718yes—
974C2×D4—216no—
975C2×D4—88no—
976C2×D4—84no—
977C2×D4C24×C4712yes—
978C2×D4C24×C4718yes—
979C2×D4C24×C4714yes—
980C2×D4C24×C4714yes—
981C2×D4C24×C4714yes—
982C2×D4C24×C4718yes—
983C2×D4C24×C4718yes—
984C2×D4C24×C4718yes—
985C2×D4C24×C4718yes—
986C2×D4C24×C4718yes—
987C2×D4C24×C4714yes—
988C2×D4C24×C4718yes—
989C2×D4C24×C4712yes—
990C2×D4C24×C4714yes—
991C2×D4C24×C4711yescharacteristic
992C22×C4—88no—
993C22×C4C24×C4712yes—
994C22×C4C24×C4711yescharacteristic
995C22×C4C24×C4714yes—
996C22×C4C24×C4714yes—
997C22×C4C24×C4714yes—
998C22×C4C24×C4712yes—
999C22×C4C24×C4714yes—
1000C22×C4C24×C4718yes—
1001C22×C4C24×C4718yes—
1002C22×C4C24×C4718yes—
1003C22×C4C24×C4718yes—
1004C22×C4C24×C4718yes—
1005C22×C4C24×C4718yes—
1006C22×C4C24×C4718yes—
1007C22×C4C24×C4714yes—
1008C22×C4C24×C4718yes—
1009C22×C4C24×C4718yes—
1010C4⋊C4C24×C4714yes—
1011C4⋊C4C24×C4714yes—
1012C4⋊C4C24×C4712yes—
1013C4⋊C4C24×C4714yes—
1014C4⋊C4C24×C4718yes—
1015C4⋊C4C24×C4718yes—
1016C4⋊C4C24×C4714yes—
1017C4⋊C4C24×C4718yes—
1018C4⋊C4C24×C4714yes—
1019C4⋊C4C24×C4718yes—
1020C4⋊C4C24×C4718yes—
1021C4⋊C4C24×C4714yes—
1022C4⋊C4C24×C4714yes—
1023C4⋊C4C24×C4718yes—
1024C4⋊C4C24×C4714yes—
1025C4⋊C4C24×C4714yes—
1026C4⋊C4C24×C4718yes—
1027C4⋊C4C24×C4718yes—
1028C4⋊C4C24×C4718yes—
1029C4⋊C4C24×C4718yes—
1030C4⋊C4C24×C4718yes—
1031C4⋊C4C24×C4718yes—
1032C4⋊C4C24×C4712yes—
1033C4⋊C4C24×C4712yes—
1034C4⋊C4C24×C4714yes—
1035C4⋊C4C24×C4714yes—
1036C4⋊C4C24×C4718yes—
1037C4⋊C4C24×C4714yes—
1038C4⋊C4C24×C4714yes—
1039C4⋊C4C24×C4714yes—
1040C4⋊C4C24×C4714yes—
1041C4⋊C4C24×C4714yes—
1042C4⋊C4C24×C4712yes—
1043C4⋊C4C24×C4714yes—
1044C4⋊C4C24×C4712yes—
1045C4⋊C4C24×C4718yes—
1046C4⋊C4C24×C4714yes—
1047C22⋊C4C24×C4718yes—
1048C22⋊C4C24×C4718yes—
1049C22⋊C4C24×C4714yes—
1050C22⋊C4C24×C4714yes—
1051C22⋊C4C24×C4718yes—
1052C22⋊C4C24×C4714yes—
1053C22⋊C4C24×C4718yes—
1054C22⋊C4C24×C4714yes—
1055C22⋊C4C24×C4714yes—
1056C22⋊C4C24×C4714yes—
1057C22⋊C4C24×C4718yes—
1058C22⋊C4C24×C4718yes—
1059C22⋊C4C24×C4718yes—
1060C22⋊C4C24×C4718yes—
1061C22⋊C4C24×C4718yes—
1062C22⋊C4C24×C4718yes—
1063C22⋊C4C24×C4718yes—
1064C22⋊C4C24×C4718yes—
1065C22⋊C4C24×C4718yes—
1066C22⋊C4C24×C4714yes—
1067C22⋊C4C24×C4718yes—
1068C22⋊C4C24×C4718yes—
1069C22⋊C4C24×C4714yes—
1070C22⋊C4C24×C4712yes—
1071C22⋊C4C24×C4714yes—
1072C22⋊C4C24×C4714yes—
1073C22⋊C4C24×C4718yes—
1074C22⋊C4C24×C4718yes—
1075C22⋊C4C24×C4714yes—
1076C42C24×C4711yescharacteristic
1077C42C24×C4712yes—
1078C42C24×C4714yes—
1079C42C24×C4714yes—
1080C42C24×C4712yes—
1081C42C24×C4711yescharacteristic
1082C42C24×C4714yes—
1083C42C24×C4714yes—
1084C42C24×C4714yes—
1085C42C24×C4718yes—
1086C42C24×C4718yes—
1087C42C24×C4718yes—
1088C23—216no—
1089C23—48no—
1090C23—48no—
1091C23C25×C4714yes—
1092C23C25×C4718yes—
1093C23C25×C4711yescharacteristic
1094C23C25×C4712yes—
1095Q8—22no—
1096Q8—48no—
1097Q8—44no—
1098Q8—42no—
1099Q8—48no—
1100Q8—48no—
1101Q8—44no—
1102Q8—44no—
1103D4—216no—
1104D4—24no—
1105D4—28no—
1106D4—44no—
1107D4—42no—
1108D4—48no—
1109D4—48no—
1110D4—48no—
1111D4—44no—
1112D4—48no—
1113D4—44no—
1114D4—44no—
1115D4—48no—
1116D4—48no—
1117D42−1+4×C4714yes—
1118C2×C4—24no—
1119C2×C4—28no—
1120C2×C4—22no—
1121C2×C4—44no—
1122C2×C4—48no—
1123C2×C4—48no—
1124C2×C4—48no—
1125C2×C4—48no—
1126C2×C4—48no—
1127C2×C4—44no—
1128C2×C4—48no—
1129C2×C4—48no—
1130C2×C4—44no—
1131C2×C4—48no—
1132C2×C4—48no—
1133C2×C4—42no—
1134C2×C4—44no—
1135C2×C4C25×C4712yes—
1136C2×C4C25×C4714yes—
1137C2×C4C25×C4711yescharacteristic
1138C2×C4C25×C4714yes—
1139C2×C4C25×C4714yes—
1140C2×C4C25×C4712yes—
1141C2×C4C25×C4714yes—
1142C2×C4C25×C4714yes—
1143C2×C4C25×C4718yes—
1144C2×C4C25×C4712yes—
1145C2×C4C25×C4718yes—
1146C2×C4C25×C4714yes—
1147C2×C4C25×C4711yescharacteristic
1148C22—24no—
1149C22—21no—
1150C22—24no—
1151C22—28no—
1152C22—28no—
1153C22—22no—
1154C22—24no—
1155C22—28no—
1156C22—24no—
1157C22—816no—
1158C22C2×2−1+4×C4714yes—
1159C22C26×C4711yescharacteristic
1160C4—21no—
1161C4—24no—
1162C4—22no—
1163C4—24no—
1164C4—28no—
1165C4—22no—
1166C4—28no—
1167C4—24no—
1168C4—24no—
1169C4—22no—
1170C4—24no—
1171C4—24no—
1172C4C2×2−1+4×C4712yes—
1173C2—24no—
1174C2—44no—
1175C2—48no—
1176C2—41no—
1177C2C22×2−1+4×C4711yescharacteristic
1178C2C47×H(7,𝔽2)12yes—
subgroupG/H
center, socleC22×C47C26
commutator, Frattini, cosocleC22C26×C47
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3565C2semidirect
2. C47×#3561C2semidirect
3. C47×#3559C2semidirect
4. C47×#3554C2semidirect
5. C47×#3553C2semidirect
6. C47×#3548C2semidirect
7. C47×#3547C2semidirect
8. C47×#3541C2semidirect
9. C47×#3536C2semidirect
10. C47×#3535C2semidirect
11. C47×#3531C2semidirect
12. C2×C47×#562C2semidirect
13. C47×#3519C2semidirect
14. C47×#3514C2semidirect
15. C47×#3513C2semidirect
16. C47×#3504C2semidirect
17. C47×#3501C2semidirect
18. C47×#564C22semidirect
19. C47×#563C22semidirect
20. C47×#563C22semidirect
21. C47×#563C22semidirect
22. C47×#563C22semidirect
23. C47×#563C22semidirect
25. C47×#562C22semidirect
26. C47×#562C22semidirect
27. C47×#562C22semidirect
28. C47×#562C22semidirect
29. C47×#562C22semidirect
30. C47×#562C22semidirect
31. C47×#562C22semidirect
32. C47×#562C22semidirect
33. C47×#562C22semidirect
34. C47×#559C22semidirect
35. C47×#559C22semidirect
36. C47×#557C22semidirect
37. C47×#556C22semidirect
38. C47×#556C22semidirect
39. C47×#555C22semidirect
40. C47×#555C22semidirect
43. C47×#554C22semidirect
44. C47×#554C22semidirect
45. C47×#554C22semidirect
46. C47×#554C22semidirect
47. C47×#554C22semidirect
48. C47×#554C22semidirect
49. C47×#554C22semidirect
50. C47×#553C22semidirect
51. C47×#553C22semidirect
52. C47×#553C22semidirect
53. C47×#553C22semidirect
54. C47×#553C22semidirect
55. C47×#552C22semidirect
56. C47×#552C22semidirect
57. C47×#552C22semidirect
58. C47×#551C22semidirect
59. C47×#551C22semidirect
60. C47×#551C22semidirect
61. C47×#550C22semidirect
63. D4×Q8×C47C22semidirect
64. D4×Q8×C47C22semidirect
65. C47×#548C22semidirect
66. C47×#548C22semidirect
67. C47×#548C22semidirect
68. C47×#547C22semidirect
69. C47×#547C22semidirect
70. C47×#547C22semidirect
71. C47×#547C22semidirect
73. C47×#546C22semidirect
74. C47×#546C22semidirect
75. C47×#546C22semidirect
76. C47×#546C22semidirect
77. C47×#546C22semidirect
80. C47×#544C22semidirect
81. C47×#544C22semidirect
82. C47×#544C22semidirect
83. C47×#544C22semidirect
84. C47×#543C22semidirect
85. C47×#543C22semidirect
86. C47×#542C22semidirect
87. C47×#542C22semidirect
88. C47×#542C22semidirect
89. C47×#542C22semidirect
90. C47×#542C22semidirect
91. C47×#542C22semidirect
92. C47×#542C22semidirect
93. C47×#541C22semidirect
94. C47×#540C22semidirect
95. C47×#540C22semidirect
96. C47×#540C22semidirect
97. C47×#539C22semidirect
98. C47×#539C22semidirect
99. C47×#539C22semidirect
100. C47×#539C22semidirect
101. C47×#539C22semidirect
102. C47×#539C22semidirect
103. C47×#538C22semidirect
104. C47×#538C22semidirect
105. C47×#538C22semidirect
106. C47×#538C22semidirect
107. C47×#537C22semidirect
108. C47×#537C22semidirect
109. C47×#537C22semidirect
110. C47×#536C22semidirect
111. C47×#536C22semidirect
112. C47×#533C22semidirect
113. C47×#533C22semidirect
114. C47×#533C22semidirect
115. C47×#533C22semidirect
116. C47×#532C22semidirect
117. C47×#532C22semidirect
118. C47×#529C22semidirect
119. C47×#529C22semidirect
120. C47×#529C22semidirect
121. C47×#529C22semidirect
122. C47×#529C22semidirect
123. C2×#125×C47C22semidirect
124. C2×#125×C47C22semidirect
125. C2×#124×C47C22semidirect
126. C47×#525C22semidirect
127. C47×#525C22semidirect
128. C2×#123×C47C22semidirect
129. C2×C22⋊Q8×C47C22semidirect
130. C2×C22⋊Q8×C47C22semidirect
131. C2×#121×C47C22semidirect
558. #63054C47direct (N × H)
584. #3565C2×C47semidirect
585. #3561C2×C47semidirect
586. #3559C2×C47semidirect
587. #3554C2×C47semidirect
588. #3553C2×C47semidirect
589. #3548C2×C47semidirect
590. #3547C2×C47semidirect
591. #3541C2×C47semidirect
592. #3536C2×C47semidirect
593. #3535C2×C47semidirect
594. #3531C2×C47semidirect
595. C2×#562C2×C47semidirect
596. #3519C2×C47semidirect
597. #3514C2×C47semidirect
598. #3513C2×C47semidirect
599. #3504C2×C47semidirect
600. #3501C2×C47semidirect
607. #564C22×C47semidirect
608. #563C22×C47semidirect
609. #563C22×C47semidirect
610. #563C22×C47semidirect
611. #563C22×C47semidirect
612. #563C22×C47semidirect
614. #562C22×C47semidirect
615. #562C22×C47semidirect
616. #562C22×C47semidirect
617. #562C22×C47semidirect
618. #562C22×C47semidirect
619. #562C22×C47semidirect
620. #562C22×C47semidirect
621. #562C22×C47semidirect
622. #562C22×C47semidirect
623. #559C22×C47semidirect
624. #559C22×C47semidirect
625. #557C22×C47semidirect
626. #556C22×C47semidirect
627. #556C22×C47semidirect
628. #555C22×C47semidirect
629. #555C22×C47semidirect
632. #554C22×C47semidirect
633. #554C22×C47semidirect
634. #554C22×C47semidirect
635. #554C22×C47semidirect
636. #554C22×C47semidirect
637. #554C22×C47semidirect
638. #554C22×C47semidirect
639. #553C22×C47semidirect
640. #553C22×C47semidirect
641. #553C22×C47semidirect
642. #553C22×C47semidirect
643. #553C22×C47semidirect
644. #552C22×C47semidirect
645. #552C22×C47semidirect
646. #552C22×C47semidirect
647. #551C22×C47semidirect
648. #551C22×C47semidirect
649. #551C22×C47semidirect
650. #550C22×C47semidirect
652. D4×Q8C22×C47semidirect
653. D4×Q8C22×C47semidirect
654. #548C22×C47semidirect
655. #548C22×C47semidirect
656. #548C22×C47semidirect
657. #547C22×C47semidirect
658. #547C22×C47semidirect
659. #547C22×C47semidirect
660. #547C22×C47semidirect
662. #546C22×C47semidirect
663. #546C22×C47semidirect
664. #546C22×C47semidirect
665. #546C22×C47semidirect
666. #546C22×C47semidirect
669. #544C22×C47semidirect
670. #544C22×C47semidirect
671. #544C22×C47semidirect
672. #544C22×C47semidirect
673. #543C22×C47semidirect
674. #543C22×C47semidirect
675. #542C22×C47semidirect
676. #542C22×C47semidirect
677. #542C22×C47semidirect
678. #542C22×C47semidirect
679. #542C22×C47semidirect
680. #542C22×C47semidirect
681. #542C22×C47semidirect
682. #541C22×C47semidirect
683. #540C22×C47semidirect
684. #540C22×C47semidirect
685. #540C22×C47semidirect
686. #539C22×C47semidirect
687. #539C22×C47semidirect
688. #539C22×C47semidirect
689. #539C22×C47semidirect
690. #539C22×C47semidirect
691. #539C22×C47semidirect
692. #538C22×C47semidirect
693. #538C22×C47semidirect
694. #538C22×C47semidirect
695. #538C22×C47semidirect
696. #537C22×C47semidirect
697. #537C22×C47semidirect
698. #537C22×C47semidirect
699. #536C22×C47semidirect
700. #536C22×C47semidirect
701. #533C22×C47semidirect
702. #533C22×C47semidirect
703. #533C22×C47semidirect
704. #533C22×C47semidirect
705. #532C22×C47semidirect
706. #532C22×C47semidirect
707. #529C22×C47semidirect
708. #529C22×C47semidirect
709. #529C22×C47semidirect
710. #529C22×C47semidirect
711. #529C22×C47semidirect
712. C2×#125C22×C47semidirect
713. C2×#125C22×C47semidirect
714. C2×#124C22×C47semidirect
715. #525C22×C47semidirect
716. #525C22×C47semidirect
717. C2×#123C22×C47semidirect
718. C2×C22⋊Q8C22×C47semidirect
719. C2×C22⋊Q8C22×C47semidirect
720. C2×#121C22×C47semidirect
726. C47#63054direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35652
C47×#35612
C47×#35592
C47×#35542
C47×#35532
C47×#35482
C47×#35472
C47×#35412
C47×#35362
C47×#35352
C47×#35312
C2×C47×#5622
C47×#35192
C47×#35142
C47×#35132
C47×#35042
C47×#35012
#6305447