Finite Group Databasebeta

← C2×C47×#3484 #26102461

Subgroups — C2×C47×#3484 #26102461

Order 12032.

14438 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×H(5,𝔽2)×C47C211yesmaximal, characteristic, complemented
2C24×D4×C47C211yesmaximal, characteristic, complemented
3C47×#3484C2132yesmaximal, direct product factor
4C2×C47×#546C218yesmaximal, complemented
5C2×D42×C47C218yesmaximal, complemented
6C2×C47×#535C212yesmaximal, complemented
7C2×C47×#534C214yesmaximal, complemented
8C2×C47×#525C212yesmaximal, complemented
9C22×#120×C47C214yesmaximal, complemented
10C2×C47×#518C211yesmaximal, characteristic, complemented
11C26×C47C2212yescomplemented
12C2×H(5,𝔽2)×C47—216no—
13C2×H(5,𝔽2)×C47C22116yescomplemented
14C22×#41×C47C2212yescomplemented
15C22×#41×C47C2214yescomplemented
16C23×D4×C47—216no—
17C23×D4×C47C2211yescharacteristic
18C23×D4×C47C2212yescomplemented
19C23×D4×C47C2211yescharacteristic, complemented
20C23×D4×C47C2218yescomplemented
21C23×D4×C47C2214yescomplemented
22C23×D4×C47C22116yescomplemented
23C23×D4×C47C2214yescomplemented
24C23×D4×C47C2218yescomplemented
25C24×C4×C47C2211yescharacteristic, complemented
26C47×#546C221128yescomplemented
27D42×C47C221128yescomplemented
28C47×#535C22132yescomplemented
29C47×#534C22164yescomplemented
30C2×#127×C47C2214yescomplemented
31C2×#124×C47C2214yescomplemented
32C47×#525C22132yescomplemented
33C2×#123×C47C2214yescomplemented
34C2×#123×C47C2218yescomplemented
35C2×C22⋊Q8×C47C2214yescomplemented
36C2×#121×C47C2214yescomplemented
37C2×#121×C47C22116yescomplemented
38C2×#121×C47C2218yescomplemented
39C2×#120×C47C2214yescomplemented
40C2×#120×C47C2218yescomplemented
41C2×#120×C47C22116yescomplemented
42C2×#120×C47C2218yescomplemented
43C2×#120×C47C22164yescomplemented
44C47×#518C22116yescomplemented
45C2×C4×D4×C47C2218yescomplemented
46C2×C4×D4×C47C2218yescomplemented
47C2×#117×C47C2212yescomplemented
48C22×C22⋊C4×C47C2214yescomplemented
49C22×C22⋊C4×C47C2218yescomplemented
50C25×C47—216no—
51C25×C47—416no—
52C25×C47C2311yescharacteristic
53C25×C47C2318yes—
54C25×C47C2312yes—
55C25×C47C2312yes—
56C25×C47C23116yescomplemented
57C25×C47C2314yescomplemented
58H(5,𝔽2)×C47—2128no—
59C2×#41×C47—232no—
60C2×#41×C47—216no—
61C2×#41×C47C23116yescomplemented
62C2×#41×C47C23132yescomplemented
63C22×Q8×C47C2312yescomplemented
64C22×D4×C47—216no—
65C22×D4×C47—232no—
66C22×D4×C47—264no—
67C22×D4×C47—2128no—
68C22×D4×C47—232no—
69C22×D4×C47—28no—
70C22×D4×C47—432no—
71C22×D4×C47D4116yescomplemented
72C22×D4×C47C2318yes—
73C22×D4×C47C2314yes—
74C22×D4×C47C2318yes—
75C22×D4×C47C2314yes—
76C22×D4×C47C2314yes—
77C22×D4×C47C2318yes—
78C22×D4×C47C23116yescomplemented
79C22×D4×C47C2318yescomplemented
80C22×D4×C47C23164yescomplemented
81C22×D4×C47C2318yescomplemented
82C22×D4×C47C2312yescomplemented
83C22×D4×C47C23116yescomplemented
84C22×D4×C47C23132yescomplemented
85C22×D4×C47C23132yescomplemented
86C22×D4×C47C23164yescomplemented
87C23×C4×C47—28no—
88C23×C4×C47C2314yes—
89C23×C4×C47C2311yescharacteristic
90C23×C4×C47C2311yescharacteristic
91C23×C4×C47C2318yescomplemented
92C23×C4×C47C2314yescomplemented
93C23×C4×C47C2314yescomplemented
94C23×C4×C47C2318yescomplemented
95#127×C47C23132yescomplemented
96#124×C47C23132yescomplemented
97#123×C47C23132yescomplemented
98#123×C47C23164yescomplemented
99C22⋊Q8×C47C23132yescomplemented
100#121×C47C23132yescomplemented
101#121×C47C231128yescomplemented
102#121×C47C23164yescomplemented
103#120×C47C23132yescomplemented
104#120×C47C23164yescomplemented
105#120×C47C231128yescomplemented
106#120×C47C23164yescomplemented
107C4×D4×C47C23164yescomplemented
108C4×D4×C47C23164yescomplemented
109#117×C47C23116yescomplemented
110C2×C4⋊C4×C47C2314yescomplemented
111C2×C4⋊C4×C47C2318yescomplemented
112C2×C22⋊C4×C47C2314yes—
113C2×C22⋊C4×C47C2318yes—
114C2×C22⋊C4×C47C23132yescomplemented
115C2×C22⋊C4×C47C23164yescomplemented
116C2×C22⋊C4×C47C2318yescomplemented
117C2×C22⋊C4×C47C23116yescomplemented
118C2×C22⋊C4×C47C2318yescomplemented
119C2×C42×C47C2314yescomplemented
120C24×C47—24no—
121C24×C47—28no—
122C24×C47—232no—
123C24×C47—28no—
124C24×C47—264no—
125C24×C47—232no—
126C24×C47—216no—
127C24×C47—48no—
128C24×C47—416no—
129C24×C47—48no—
130C24×C47—464no—
131C24×C47—416no—
132C24×C47—4128no—
133C24×C47C2×D4116yescomplemented
134C24×C47C2414yes—
135C24×C47C2414yes—
136C24×C47C2414yes—
137C24×C47C24132yes—
138C24×C47C2411yescharacteristic
139C24×C47C2414yes—
140C24×C47C2412yes—
141C24×C47C2418yes—
142C24×C47C2418yes—
143C24×C47C24116yescomplemented
144#41×C47—2128no—
145#41×C47—264no—
146C2×Q8×C47—28no—
147C2×Q8×C47C2418yescomplemented
148C2×D4×C47—232no—
149C2×D4×C47—216no—
150C2×D4×C47—232no—
151C2×D4×C47—264no—
152C2×D4×C47—2128no—
153C2×D4×C47—232no—
154C2×D4×C47—2256no—
155C2×D4×C47—2128no—
156C2×D4×C47—216no—
157C2×D4×C47—28no—
158C2×D4×C47—232no—
159C2×D4×C47—432no—
160C2×D4×C47—4128no—
161C2×D4×C47C2×D4132yescomplemented
162C2×D4×C47C2×D4164yescomplemented
163C2×D4×C47C24132yes—
164C2×D4×C47C24116yes—
165C2×D4×C47C24132yes—
166C2×D4×C47C24116yes—
167C2×D4×C47C24116yes—
168C2×D4×C47C24132yescomplemented
169C2×D4×C47C2418yescomplemented
170C2×D4×C47C24164yescomplemented
171C22×C4×C47—24no—
172C22×C4×C47—216no—
173C22×C4×C47—216no—
174C22×C4×C47—216no—
175C22×C4×C47—232no—
176C22×C4×C47—416no—
177C22×C4×C47C2×D418yescomplemented
178C22×C4×C47C24116yes—
179C22×C4×C47C2414yes—
180C22×C4×C47C2418yes—
181C22×C4×C47C2414yes—
182C22×C4×C47C2412yes—
183C22×C4×C47C2412yes—
184C22×C4×C47C2414yes—
185C22×C4×C47C24116yescomplemented
186C22×C4×C47C24116yescomplemented
187C22×C4×C47C24132yescomplemented
188C4⋊C4×C47C24116yescomplemented
189C4⋊C4×C47C24132yescomplemented
190C22⋊C4×C47C24116yes—
191C22⋊C4×C47C24132yes—
192C22⋊C4×C47C24132yescomplemented
193C22⋊C4×C47C24164yescomplemented
194C22⋊C4×C47C24132yescomplemented
195C42×C47C24116yescomplemented
196C23×C47—232no—
197C23×C47—28no—
198C23×C47—24no—
199C23×C47—216no—
200C23×C47—24no—
201C23×C47—24no—
202C23×C47—216no—
203C23×C47—28no—
204C23×C47—264no—
205C23×C47—216no—
206C23×C47—28no—
207C23×C47—216no—
208C23×C47—216no—
209C23×C47—264no—
210C23×C47—232no—
211C23×C47—432no—
212C23×C47—416no—
213C23×C47—432no—
214C23×C47—416no—
215C23×C47—432no—
216C23×C47—4128no—
217C23×C47—4256no—
218C23×C47—432no—
219C23×C47—832no—
220C23×C47C22×D414yes—
221C23×C47C22×D4116yes—
222C23×C47C22×D4132yescomplemented
223C23×C47H(5,𝔽2)18yescomplemented
224C23×C47C2518yes—
225C23×C47C2518yes—
226C23×C47C2512yes—
227C23×C47C2518yes—
228C23×C47C2514yes—
229C23×C47C2511yescharacteristic
230Q8×C47—216no—
231D4×C47—264no—
232D4×C47—232no—
233D4×C47—264no—
234D4×C47—264no—
235D4×C47—232no—
236D4×C47—216no—
237D4×C47—464no—
238D4×C47C22×D4164yescomplemented
239C2×C4×C47—28no—
240C2×C4×C47—24no—
241C2×C4×C47—28no—
242C2×C4×C47—232no—
243C2×C4×C47—216no—
244C2×C4×C47—232no—
245C2×C4×C47—232no—
246C2×C4×C47—432no—
247C2×C4×C47C22×D418yes—
248C2×C4×C47C22×D4116yescomplemented
249C2×C4×C47C25116yes—
250C2×C4×C47C2518yes—
251C2×C4×C47C2514yes—
252C2×C4×C47C2514yes—
253C2×#3484C4711yesmaximal, characteristic, direct product factor, Sylow
254C22×C47—232no—
255C22×C47—24no—
256C22×C47—216no—
257C22×C47—24no—
258C22×C47—24no—
259C22×C47—28no—
260C22×C47—216no—
261C22×C47—232no—
262C22×C47—28no—
263C22×C47—28no—
264C22×C47—216no—
265C22×C47—216no—
266C22×C47—432no—
267C22×C47—4128no—
268C22×C47—432no—
269C22×C47—416no—
270C22×C47—416no—
271C22×C47—832no—
272C22×C47C23×D414yes—
273C22×C47C23×D4116yes—
274C22×C47C23×D412yes—
275C22×C47C2×H(5,𝔽2)14yes—
276C22×C47C2×H(5,𝔽2)18yescomplemented
277C22×C47C2611yescharacteristic
278C4×C47—24no—
279C4×C47—28no—
280C4×C47—216no—
281C4×C47C23×D418yes—
282C22×H(5,𝔽2)C2×C4711yescharacteristic, complemented
283C24×D4C2×C4711yescharacteristic, complemented
284#3484C2×C47132yesdirect product factor
285C2×#546C2×C4718yescomplemented
286C2×D42C2×C4718yescomplemented
287C2×#535C2×C4712yescomplemented
288C2×#534C2×C4714yescomplemented
289C2×#525C2×C4712yescomplemented
290C22×#120C2×C4714yescomplemented
291C2×#518C2×C4711yescharacteristic, complemented
292C2×C47—24no—
293C2×C47—28no—
294C2×C47—216no—
295C2×C47—48no—
296C2×C47—48no—
297C2×C47#348414yesdirect product factor
298C2×C47C24×D411yescharacteristic
299C2×C47C22×H(5,𝔽2)12yes—
300C26C22×C4712yescomplemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)C22×C47116yescomplemented
303C22×#41C22×C4712yescomplemented
304C22×#41C22×C4714yescomplemented
305C23×D4—216no—
306C23×D4C22×C4711yescharacteristic
307C23×D4C22×C4712yescomplemented
308C23×D4C22×C4711yescharacteristic, complemented
309C23×D4C22×C4718yescomplemented
310C23×D4C22×C4714yescomplemented
311C23×D4C22×C47116yescomplemented
312C23×D4C22×C4714yescomplemented
313C23×D4C22×C4718yescomplemented
314C24×C4C22×C4711yescharacteristic, complemented
315#546C22×C471128yescomplemented
316D42C22×C471128yescomplemented
317#535C22×C47132yescomplemented
318#534C22×C47164yescomplemented
319C2×#127C22×C4714yescomplemented
320C2×#124C22×C4714yescomplemented
321#525C22×C47132yescomplemented
322C2×#123C22×C4714yescomplemented
323C2×#123C22×C4718yescomplemented
324C2×C22⋊Q8C22×C4714yescomplemented
325C2×#121C22×C4714yescomplemented
326C2×#121C22×C47116yescomplemented
327C2×#121C22×C4718yescomplemented
328C2×#120C22×C4714yescomplemented
329C2×#120C22×C4718yescomplemented
330C2×#120C22×C47116yescomplemented
331C2×#120C22×C4718yescomplemented
332C2×#120C22×C47164yescomplemented
333#518C22×C47116yescomplemented
334C2×C4×D4C22×C4718yescomplemented
335C2×C4×D4C22×C4718yescomplemented
336C2×#117C22×C4712yescomplemented
337C22×C22⋊C4C22×C4714yescomplemented
338C22×C22⋊C4C22×C4718yescomplemented
339C47C2×#348411yescharacteristic, direct product factor, Sylow
340C25—216no—
341C25—416no—
342C25C23×C4711yescharacteristic
343C25C23×C4718yes—
344C25C23×C4712yes—
345C25C23×C4712yes—
346C25C23×C47116yescomplemented
347C25C23×C4714yescomplemented
348H(5,𝔽2)—2128no—
349C2×#41—232no—
350C2×#41—216no—
351C2×#41C23×C47116yescomplemented
352C2×#41C23×C47132yescomplemented
353C22×Q8C23×C4712yescomplemented
354C22×D4—216no—
355C22×D4—232no—
356C22×D4—264no—
357C22×D4—2128no—
358C22×D4—232no—
359C22×D4—28no—
360C22×D4—432no—
361C22×D4D4×C47116yescomplemented
362C22×D4C23×C4718yes—
363C22×D4C23×C4714yes—
364C22×D4C23×C4718yes—
365C22×D4C23×C4714yes—
366C22×D4C23×C4714yes—
367C22×D4C23×C4718yes—
368C22×D4C23×C47116yescomplemented
369C22×D4C23×C4718yescomplemented
370C22×D4C23×C47164yescomplemented
371C22×D4C23×C4718yescomplemented
372C22×D4C23×C4712yescomplemented
373C22×D4C23×C47116yescomplemented
374C22×D4C23×C47132yescomplemented
375C22×D4C23×C47132yescomplemented
376C22×D4C23×C47164yescomplemented
377C23×C4—28no—
378C23×C4C23×C4714yes—
379C23×C4C23×C4711yescharacteristic
380C23×C4C23×C4711yescharacteristic
381C23×C4C23×C4718yescomplemented
382C23×C4C23×C4714yescomplemented
383C23×C4C23×C4714yescomplemented
384C23×C4C23×C4718yescomplemented
385#127C23×C47132yescomplemented
386#124C23×C47132yescomplemented
387#123C23×C47132yescomplemented
388#123C23×C47164yescomplemented
389C22⋊Q8C23×C47132yescomplemented
390#121C23×C47132yescomplemented
391#121C23×C471128yescomplemented
392#121C23×C47164yescomplemented
393#120C23×C47132yescomplemented
394#120C23×C47164yescomplemented
395#120C23×C471128yescomplemented
396#120C23×C47164yescomplemented
397C4×D4C23×C47164yescomplemented
398C4×D4C23×C47164yescomplemented
399#117C23×C47116yescomplemented
400C2×C4⋊C4C23×C4714yescomplemented
401C2×C4⋊C4C23×C4718yescomplemented
402C2×C22⋊C4C23×C4714yes—
403C2×C22⋊C4C23×C4718yes—
404C2×C22⋊C4C23×C47132yescomplemented
405C2×C22⋊C4C23×C47164yescomplemented
406C2×C22⋊C4C23×C4718yescomplemented
407C2×C22⋊C4C23×C47116yescomplemented
408C2×C22⋊C4C23×C4718yescomplemented
409C2×C42C23×C4714yescomplemented
410C24—24no—
411C24—28no—
412C24—232no—
413C24—28no—
414C24—264no—
415C24—232no—
416C24—216no—
417C24—48no—
418C24—416no—
419C24—48no—
420C24—464no—
421C24—416no—
422C24—4128no—
423C24C2×D4×C47116yescomplemented
424C24C24×C4714yes—
425C24C24×C4714yes—
426C24C24×C4714yes—
427C24C24×C47132yes—
428C24C24×C4711yescharacteristic
429C24C24×C4714yes—
430C24C24×C4712yes—
431C24C24×C4718yes—
432C24C24×C4718yes—
433C24C24×C47116yescomplemented
434#41—2128no—
435#41—264no—
436C2×Q8—28no—
437C2×Q8C24×C4718yescomplemented
438C2×D4—232no—
439C2×D4—216no—
440C2×D4—232no—
441C2×D4—264no—
442C2×D4—2128no—
443C2×D4—232no—
444C2×D4—2256no—
445C2×D4—2128no—
446C2×D4—216no—
447C2×D4—28no—
448C2×D4—232no—
449C2×D4—432no—
450C2×D4—4128no—
451C2×D4C2×D4×C47132yescomplemented
452C2×D4C2×D4×C47164yescomplemented
453C2×D4C24×C47132yes—
454C2×D4C24×C47116yes—
455C2×D4C24×C47132yes—
456C2×D4C24×C47116yes—
457C2×D4C24×C47116yes—
458C2×D4C24×C47132yescomplemented
459C2×D4C24×C4718yescomplemented
460C2×D4C24×C47164yescomplemented
461C22×C4—24no—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—216no—
465C22×C4—232no—
466C22×C4—416no—
467C22×C4C2×D4×C4718yescomplemented
468C22×C4C24×C4718yes—
469C22×C4C24×C4714yes—
470C22×C4C24×C4712yes—
471C22×C4C24×C47116yes—
472C22×C4C24×C4714yes—
473C22×C4C24×C4712yes—
474C22×C4C24×C4714yes—
475C22×C4C24×C47116yescomplemented
476C22×C4C24×C47116yescomplemented
477C22×C4C24×C47132yescomplemented
478C4⋊C4C24×C47116yescomplemented
479C4⋊C4C24×C47132yescomplemented
480C22⋊C4C24×C47116yes—
481C22⋊C4C24×C47132yes—
482C22⋊C4C24×C47132yescomplemented
483C22⋊C4C24×C47164yescomplemented
484C22⋊C4C24×C47132yescomplemented
485C42C24×C47116yescomplemented
486C23—232no—
487C23—28no—
488C23—24no—
489C23—216no—
490C23—24no—
491C23—24no—
492C23—216no—
493C23—28no—
494C23—264no—
495C23—216no—
496C23—28no—
497C23—216no—
498C23—216no—
499C23—264no—
500C23—232no—
501C23—432no—
502C23—416no—
503C23—432no—
504C23—416no—
505C23—432no—
506C23—4128no—
507C23—4256no—
508C23—432no—
509C23—832no—
510C23C22×D4×C4714yes—
511C23C22×D4×C47116yes—
512C23C22×D4×C47132yescomplemented
513C23H(5,𝔽2)×C4718yescomplemented
514C23C25×C4718yes—
515C23C25×C4718yes—
516C23C25×C4712yes—
517C23C25×C4718yes—
518C23C25×C4714yes—
519C23C25×C4711yescharacteristic
520Q8—216no—
521D4—264no—
522D4—232no—
523D4—264no—
524D4—264no—
525D4—232no—
526D4—216no—
527D4—464no—
528D4C22×D4×C47164yescomplemented
529C2×C4—28no—
530C2×C4—24no—
531C2×C4—28no—
532C2×C4—232no—
533C2×C4—216no—
534C2×C4—232no—
535C2×C4—232no—
536C2×C4—432no—
537C2×C4C22×D4×C4718yes—
538C2×C4C22×D4×C47116yescomplemented
539C2×C4C25×C47116yes—
540C2×C4C25×C4718yes—
541C2×C4C25×C4714yes—
542C2×C4C25×C4714yes—
543C22—232no—
544C22—24no—
545C22—216no—
546C22—24no—
547C22—24no—
548C22—28no—
549C22—216no—
550C22—232no—
551C22—28no—
552C22—28no—
553C22—216no—
554C22—216no—
555C22—432no—
556C22—4128no—
557C22—432no—
558C22—416no—
559C22—416no—
560C22—832no—
561C22C23×D4×C4714yes—
562C22C23×D4×C47116yes—
563C22C23×D4×C4712yes—
564C22C2×H(5,𝔽2)×C4714yes—
565C22C2×H(5,𝔽2)×C4718yescomplemented
566C22C26×C4711yescharacteristic
567C4—24no—
568C4—28no—
569C4—216no—
570C4C23×D4×C4718yes—
571C2—24no—
572C2—28no—
573C2—216no—
574C2—48no—
575C2—48no—
576C2C47×#348414yesdirect product factor
577C2C24×D4×C4711yescharacteristic
578C2C22×H(5,𝔽2)×C4712yes—
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC22C26×C47
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×H(5,𝔽2)×C47C2semidirect
2. C24×D4×C47C2semidirect
3. C47×#3484C2direct (N × H)
4. C2×C47×#546C2semidirect
5. C2×D42×C47C2semidirect
6. C2×C47×#535C2semidirect
7. C2×C47×#534C2semidirect
8. C2×C47×#525C2semidirect
9. C22×#120×C47C2semidirect
10. C2×C47×#518C2semidirect
11. C26×C47C22semidirect
13. C2×H(5,𝔽2)×C47C22semidirect
14. C22×#41×C47C22semidirect
15. C22×#41×C47C22semidirect
18. C23×D4×C47C22semidirect
19. C23×D4×C47C22semidirect
20. C23×D4×C47C22semidirect
21. C23×D4×C47C22semidirect
22. C23×D4×C47C22semidirect
23. C23×D4×C47C22semidirect
24. C23×D4×C47C22semidirect
25. C24×C4×C47C22semidirect
26. C47×#546C22semidirect
27. D42×C47C22semidirect
28. C47×#535C22semidirect
29. C47×#534C22semidirect
30. C2×#127×C47C22semidirect
31. C2×#124×C47C22semidirect
32. C47×#525C22semidirect
33. C2×#123×C47C22semidirect
34. C2×#123×C47C22semidirect
35. C2×C22⋊Q8×C47C22semidirect
36. C2×#121×C47C22semidirect
37. C2×#121×C47C22semidirect
38. C2×#121×C47C22semidirect
39. C2×#120×C47C22semidirect
40. C2×#120×C47C22semidirect
41. C2×#120×C47C22semidirect
42. C2×#120×C47C22semidirect
43. C2×#120×C47C22semidirect
44. C47×#518C22semidirect
45. C2×C4×D4×C47C22semidirect
46. C2×C4×D4×C47C22semidirect
47. C2×#117×C47C22semidirect
48. C22×C22⋊C4×C47C22semidirect
49. C22×C22⋊C4×C47C22semidirect
56. C25×C47C23semidirect
57. C25×C47C23semidirect
61. C2×#41×C47C23semidirect
62. C2×#41×C47C23semidirect
63. C22×Q8×C47C23semidirect
71. C22×D4×C47D4semidirect
78. C22×D4×C47C23semidirect
79. C22×D4×C47C23semidirect
80. C22×D4×C47C23semidirect
81. C22×D4×C47C23semidirect
82. C22×D4×C47C23semidirect
83. C22×D4×C47C23semidirect
84. C22×D4×C47C23semidirect
85. C22×D4×C47C23semidirect
86. C22×D4×C47C23semidirect
91. C23×C4×C47C23semidirect
92. C23×C4×C47C23semidirect
93. C23×C4×C47C23semidirect
94. C23×C4×C47C23semidirect
95. #127×C47C23semidirect
96. #124×C47C23semidirect
97. #123×C47C23semidirect
98. #123×C47C23semidirect
99. C22⋊Q8×C47C23semidirect
100. #121×C47C23semidirect
101. #121×C47C23semidirect
102. #121×C47C23semidirect
103. #120×C47C23semidirect
104. #120×C47C23semidirect
105. #120×C47C23semidirect
106. #120×C47C23semidirect
107. C4×D4×C47C23semidirect
108. C4×D4×C47C23semidirect
109. #117×C47C23semidirect
110. C2×C4⋊C4×C47C23semidirect
111. C2×C4⋊C4×C47C23semidirect
114. C2×C22⋊C4×C47C23semidirect
115. C2×C22⋊C4×C47C23semidirect
116. C2×C22⋊C4×C47C23semidirect
117. C2×C22⋊C4×C47C23semidirect
118. C2×C22⋊C4×C47C23semidirect
119. C2×C42×C47C23semidirect
133. C24×C47C2×D4semidirect
143. C24×C47C24semidirect
147. C2×Q8×C47C24semidirect
161. C2×D4×C47C2×D4semidirect
162. C2×D4×C47C2×D4semidirect
168. C2×D4×C47C24semidirect
169. C2×D4×C47C24semidirect
170. C2×D4×C47C24semidirect
177. C22×C4×C47C2×D4semidirect
185. C22×C4×C47C24semidirect
186. C22×C4×C47C24semidirect
187. C22×C4×C47C24semidirect
188. C4⋊C4×C47C24semidirect
189. C4⋊C4×C47C24semidirect
192. C22⋊C4×C47C24semidirect
193. C22⋊C4×C47C24semidirect
194. C22⋊C4×C47C24semidirect
195. C42×C47C24semidirect
222. C23×C47C22×D4semidirect
223. C23×C47H(5,𝔽2)semidirect
238. D4×C47C22×D4semidirect
248. C2×C4×C47C22×D4semidirect
253. C2×#3484C47direct (N × H)
276. C22×C47C2×H(5,𝔽2)semidirect
282. C22×H(5,𝔽2)C2×C47semidirect
283. C24×D4C2×C47semidirect
284. #3484C2×C47direct (N × H)
285. C2×#546C2×C47semidirect
286. C2×D42C2×C47semidirect
287. C2×#535C2×C47semidirect
288. C2×#534C2×C47semidirect
289. C2×#525C2×C47semidirect
290. C22×#120C2×C47semidirect
291. C2×#518C2×C47semidirect
297. C2×C47#3484direct (N × H)
300. C26C22×C47semidirect
302. C2×H(5,𝔽2)C22×C47semidirect
303. C22×#41C22×C47semidirect
304. C22×#41C22×C47semidirect
307. C23×D4C22×C47semidirect
308. C23×D4C22×C47semidirect
309. C23×D4C22×C47semidirect
310. C23×D4C22×C47semidirect
311. C23×D4C22×C47semidirect
312. C23×D4C22×C47semidirect
313. C23×D4C22×C47semidirect
314. C24×C4C22×C47semidirect
315. #546C22×C47semidirect
316. D42C22×C47semidirect
317. #535C22×C47semidirect
318. #534C22×C47semidirect
319. C2×#127C22×C47semidirect
320. C2×#124C22×C47semidirect
321. #525C22×C47semidirect
322. C2×#123C22×C47semidirect
323. C2×#123C22×C47semidirect
324. C2×C22⋊Q8C22×C47semidirect
325. C2×#121C22×C47semidirect
326. C2×#121C22×C47semidirect
327. C2×#121C22×C47semidirect
328. C2×#120C22×C47semidirect
329. C2×#120C22×C47semidirect
330. C2×#120C22×C47semidirect
331. C2×#120C22×C47semidirect
332. C2×#120C22×C47semidirect
333. #518C22×C47semidirect
334. C2×C4×D4C22×C47semidirect
335. C2×C4×D4C22×C47semidirect
336. C2×#117C22×C47semidirect
337. C22×C22⋊C4C22×C47semidirect
338. C22×C22⋊C4C22×C47semidirect
339. C47C2×#3484direct (N × H)
346. C25C23×C47semidirect
347. C25C23×C47semidirect
351. C2×#41C23×C47semidirect
352. C2×#41C23×C47semidirect
353. C22×Q8C23×C47semidirect
361. C22×D4D4×C47semidirect
368. C22×D4C23×C47semidirect
369. C22×D4C23×C47semidirect
370. C22×D4C23×C47semidirect
371. C22×D4C23×C47semidirect
372. C22×D4C23×C47semidirect
373. C22×D4C23×C47semidirect
374. C22×D4C23×C47semidirect
375. C22×D4C23×C47semidirect
376. C22×D4C23×C47semidirect
381. C23×C4C23×C47semidirect
382. C23×C4C23×C47semidirect
383. C23×C4C23×C47semidirect
384. C23×C4C23×C47semidirect
385. #127C23×C47semidirect
386. #124C23×C47semidirect
387. #123C23×C47semidirect
388. #123C23×C47semidirect
389. C22⋊Q8C23×C47semidirect
390. #121C23×C47semidirect
391. #121C23×C47semidirect
392. #121C23×C47semidirect
393. #120C23×C47semidirect
394. #120C23×C47semidirect
395. #120C23×C47semidirect
396. #120C23×C47semidirect
397. C4×D4C23×C47semidirect
398. C4×D4C23×C47semidirect
399. #117C23×C47semidirect
400. C2×C4⋊C4C23×C47semidirect
401. C2×C4⋊C4C23×C47semidirect
404. C2×C22⋊C4C23×C47semidirect
405. C2×C22⋊C4C23×C47semidirect
406. C2×C22⋊C4C23×C47semidirect
407. C2×C22⋊C4C23×C47semidirect
408. C2×C22⋊C4C23×C47semidirect
409. C2×C42C23×C47semidirect
423. C24C2×D4×C47semidirect
433. C24C24×C47semidirect
437. C2×Q8C24×C47semidirect
451. C2×D4C2×D4×C47semidirect
452. C2×D4C2×D4×C47semidirect
458. C2×D4C24×C47semidirect
459. C2×D4C24×C47semidirect
460. C2×D4C24×C47semidirect
467. C22×C4C2×D4×C47semidirect
475. C22×C4C24×C47semidirect
476. C22×C4C24×C47semidirect
477. C22×C4C24×C47semidirect
478. C4⋊C4C24×C47semidirect
479. C4⋊C4C24×C47semidirect
482. C22⋊C4C24×C47semidirect
483. C22⋊C4C24×C47semidirect
484. C22⋊C4C24×C47semidirect
485. C42C24×C47semidirect
512. C23C22×D4×C47semidirect
513. C23H(5,𝔽2)×C47semidirect
528. D4C22×D4×C47semidirect
538. C2×C4C22×D4×C47semidirect
565. C22C2×H(5,𝔽2)×C47semidirect
576. C2C47×#3484direct (N × H)

Maximal subgroups

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

subgroupindex
C22×H(5,𝔽2)×C472
C24×D4×C472
C47×#34842
C2×C47×#5462
C2×D42×C472
C2×C47×#5352
C2×C47×#5342
C2×C47×#5252
C22×#120×C472
C2×C47×#5182
C2×#348447