Finite Group Databasebeta

← C47×#33556 #26073254

Subgroups — C47×#33556 #26073254

Order 12032.

1134 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3540C211yesmaximal, characteristic, complemented
2C47×#3028C211yesmaximal, characteristic, complemented
3C47×#3025C211yesmaximal, characteristic, complemented
4C47×#3021C211yesmaximal, characteristic, complemented
5C47×#2200C214yesmaximal, complemented
6C47×#2198C214yesmaximal, complemented
7C47×#2128C211yesmaximal, characteristic, complemented
8C47×#2123C211yesmaximal, characteristic, complemented
9C47×#2120C211yesmaximal, characteristic, complemented
10C47×#585C2211yescharacteristic
11C2×AGL(1,ℤ/8)×C47—21no—
12C47×H(3,𝔽4)—21no—
13C47×#560C2212yescomplemented
14C47×#559C2212yescomplemented
15C47×#556—21no—
16C47×#555—21no—
17C47×#551—21no—
18C47×#548—21no—
19C47×#546—21no—
20C47×#542—22no—
21C47×#542—21no—
22C47×#538—22no—
23C47×#536—21no—
24C47×#536C2211yescharacteristic
25C47×#535C2211yescharacteristic
26C47×#525—21no—
27C47×#525—21no—
28C47×#525C2211yescharacteristic
29C47×#458—21no—
30C47×#458—22no—
31C47×#458C2212yescomplemented
32C47×#458C2214yescomplemented
33C47×B(4,𝔽2)—21no—
34C47×B(4,𝔽2)C2212yescomplemented
35C47×#454—22no—
36C47×#453C2214yes—
37C47×#421—21no—
38C47×#413C2211yescharacteristic
39C47×#410—21no—
40C47×#410—21no—
41C47×#410C2211yescharacteristic
42C47×#410C2211yescharacteristic
43C47×#353C2214yescomplemented
44C47×#352C2212yescomplemented
45C47×#352C2214yescomplemented
46C47×AΣL(1,𝔽16)C2212yescomplemented
472−1+4×C47—21no—
482−1+4×C47—41no—
49H(5,𝔽2)×C47—21no—
50H(5,𝔽2)×C47—21no—
51H(5,𝔽2)×C47—41no—
52H(5,𝔽2)×C47C2312yes—
53C2×#41×C47—21no—
54C2×#41×C47—21no—
55C2×#41×C47—21no—
56C2×#41×C47—21no—
57C2×#41×C47—42no—
58C2×#41×C47C2311yescharacteristic
59C22×Q8×C47D411yescharacteristic, complemented
60C22×D4×C47D411yescharacteristic, complemented
61C23×C4×C47D411yescharacteristic
62AGL(1,ℤ/8)×C47—24no—
63AGL(1,ℤ/8)×C47—42no—
64C2×SD16×C47—41no—
65C2×D8×C47—41no—
66C2×M16×C47—21no—
67C4⋊Q8×C47—21no—
68C4⋊Q8×C47—21no—
69C4⋊Q8×C47—41no—
70#127×C47C2312yes—
71#126×C47—22no—
72#126×C47—22no—
73#126×C47—22no—
74#124×C47—22no—
75#124×C47—21no—
76#124×C47—22no—
77#124×C47—22no—
78#124×C47—21no—
79#124×C47—22no—
80#124×C47—22no—
81#124×C47—41no—
82#124×C47D412yescomplemented
83#123×C47—22no—
84#123×C47—22no—
85#123×C47—22no—
86#123×C47—22no—
87#123×C47—24no—
88#123×C47D411yescharacteristic
89#123×C47D412yescomplemented
90#123×C47C2311yescharacteristic
91#123×C47C2312yes—
92C22⋊Q8×C47—21no—
93C22⋊Q8×C47—22no—
94C22⋊Q8×C47—22no—
95C22⋊Q8×C47—21no—
96C22⋊Q8×C47—21no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—42no—
99C22⋊Q8×C47—41no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—22no—
103#121×C47—21no—
104#121×C47—21no—
105#121×C47—22no—
106#121×C47—22no—
107#121×C47—41no—
108#120×C47—22no—
109#120×C47—22no—
110#120×C47—21no—
111#120×C47—21no—
112#120×C47—22no—
113#120×C47D411yescharacteristic
114#120×C47C2311yescharacteristic
115C4×Q8×C47—21no—
116C4×Q8×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47—21no—
119C4×D4×C47—22no—
120C4×D4×C47—21no—
121C4×D4×C47—21no—
122C4×D4×C47—22no—
123C4×D4×C47—42no—
124#117×C47—21no—
125#117×C47—22no—
126#117×C47—21no—
127#117×C47—21no—
128#117×C47D411yescharacteristic
129#117×C47D411yescharacteristic, complemented
130#117×C47D411yescharacteristic, complemented
131C2×C22⋊C4×C47—22no—
132#104×C47—24no—
133#101×C47—21no—
134#100×C47C2312yes—
135#99×C47—21no—
136#99×C47—21no—
137#99×C47—22no—
138#99×C47—22no—
139#99×C47—24no—
140#99×C47C2312yes—
141#99×C47C2312yes—
142C24×C47—21no—
143C24×C47C2×D411yescharacteristic
144#41×C47—22no—
145#41×C47—22no—
146#41×C47—41no—
147#41×C47—41no—
148#41×C47—42no—
149#41×C47—41no—
150#41×C47—41no—
151#41×C47—41no—
152#41×C47—41no—
153#41×C47—41no—
154#41×C47—42no—
155#41×C47—42no—
156#41×C47—42no—
157#41×C47—41no—
158#41×C47—41no—
159#41×C47—41no—
160#41×C47—81no—
161#41×C47—81no—
162C2×Q8×C47—21no—
163C2×Q8×C47—21no—
164C2×Q8×C47—22no—
165C2×Q8×C47—21no—
166C2×Q8×C47—21no—
167C2×Q8×C47—21no—
168C2×Q8×C47—41no—
169C2×Q8×C47—41no—
170C2×Q8×C47—42no—
171C2×Q8×C47C2×D411yescharacteristic
172C2×D4×C47—21no—
173C2×D4×C47—21no—
174C2×D4×C47—21no—
175C2×D4×C47—22no—
176C2×D4×C47—22no—
177C2×D4×C47—22no—
178C2×D4×C47—22no—
179C2×D4×C47—21no—
180C2×D4×C47—22no—
181C2×D4×C47—22no—
182C2×D4×C47—21no—
183C2×D4×C47—21no—
184C2×D4×C47—41no—
185C2×D4×C47—41no—
186C2×D4×C47—42no—
187C2×D4×C47—42no—
188C2×D4×C47—42no—
189C2×D4×C47—41no—
190C2×D4×C47—42no—
191C2×D4×C47C2×D411yescharacteristic
192C2×D4×C47C2×D411yescharacteristic
193C2×D4×C47C2×D412yes—
194C2×D4×C47C2411yescharacteristic
195C22×C4×C47—22no—
196C22×C4×C47—22no—
197C22×C4×C47—22no—
198C22×C4×C47—22no—
199C22×C4×C47—21no—
200C22×C4×C47—21no—
201C22×C4×C47—41no—
202C22×C4×C47—41no—
203C22×C4×C47—41no—
204C22×C4×C47C2×D411yescharacteristic
205C22×C4×C47C2×D411yescharacteristic
206C22×C4×C47C2×D411yescharacteristic
207C22×C4×C47C2×D411yescharacteristic
208C22×C4×C47C2×D412yes—
209SD16×C47—44no—
210D8×C47—44no—
211M16×C47—22no—
212M16×C47—41no—
213C2×C8×C47—41no—
214C4⋊C4×C47—22no—
215C4⋊C4×C47—22no—
216C4⋊C4×C47—22no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—22no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—21no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—22no—
224C4⋊C4×C47—41no—
225C4⋊C4×C47—41no—
226C4⋊C4×C47—42no—
227C4⋊C4×C47—44no—
228C22⋊C4×C47—22no—
229C22⋊C4×C47—22no—
230C22⋊C4×C47—22no—
231C22⋊C4×C47—22no—
232C22⋊C4×C47—22no—
233C22⋊C4×C47—22no—
234C22⋊C4×C47—21no—
235C22⋊C4×C47—22no—
236C22⋊C4×C47—21no—
237C22⋊C4×C47—21no—
238C22⋊C4×C47—22no—
239C22⋊C4×C47—22no—
240C22⋊C4×C47—22no—
241C22⋊C4×C47—21no—
242C22⋊C4×C47—21no—
243C22⋊C4×C47—22no—
244C22⋊C4×C47—22no—
245C22⋊C4×C47—42no—
246C22⋊C4×C47—42no—
247C22⋊C4×C47—44no—
248C22⋊C4×C47C2×D411yescharacteristic
249C22⋊C4×C47C2×D411yescharacteristic
250C22⋊C4×C47C2×D412yes—
251C42×C47—22no—
252C42×C47—22no—
253C42×C47—21no—
254C42×C47—21no—
255C42×C47—41no—
256C42×C47—41no—
257C42×C47C2×D412yes—
258C23×C47—22no—
259C23×C47—22no—
260C23×C47—21no—
261C23×C47—22no—
262C23×C47—41no—
263C23×C47—41no—
264C23×C47—81no—
265C23×C47—81no—
266C23×C47—82no—
267C23×C47#12011yescharacteristic
268C23×C47C22×D411yescharacteristic
269C23×C47C22×D411yescharacteristic
270Q8×C47—22no—
271Q8×C47—41no—
272Q8×C47—41no—
273Q8×C47—41no—
274Q8×C47—41no—
275Q8×C47—41no—
276Q8×C47—41no—
277Q8×C47—81no—
278Q8×C47—82no—
279D4×C47—22no—
280D4×C47—41no—
281D4×C47—41no—
282D4×C47—41no—
283D4×C47—42no—
284D4×C47—41no—
285D4×C47—41no—
286D4×C47—42no—
287D4×C47—42no—
288D4×C47—42no—
289D4×C47—42no—
290D4×C47—41no—
291D4×C47—41no—
292D4×C47—41no—
293D4×C47—81no—
294D4×C47—82no—
295D4×C47—82no—
296D4×C47—82no—
297D4×C47—81no—
298D4×C47—82no—
299D4×C47—84no—
300C2×C4×C47—21no—
301C2×C4×C47—21no—
302C2×C4×C47—21no—
303C2×C4×C47—21no—
304C2×C4×C47—21no—
305C2×C4×C47—21no—
306C2×C4×C47—22no—
307C2×C4×C47—22no—
308C2×C4×C47—21no—
309C2×C4×C47—22no—
310C2×C4×C47—22no—
311C2×C4×C47—21no—
312C2×C4×C47—22no—
313C2×C4×C47—21no—
314C2×C4×C47—42no—
315C2×C4×C47—42no—
316C2×C4×C47—42no—
317C2×C4×C47—41no—
318C2×C4×C47—42no—
319C2×C4×C47—41no—
320C2×C4×C47—41no—
321C2×C4×C47—41no—
322C2×C4×C47—42no—
323C2×C4×C47—42no—
324C2×C4×C47—42no—
325C2×C4×C47—81no—
326C2×C4×C47—82no—
327C2×C4×C47—82no—
328C2×C4×C47#12011yescharacteristic
329C2×C4×C47#12011yescharacteristic
330C2×C4×C47#12011yescharacteristic
331C2×C4×C47C22×D411yescharacteristic
332C8×C47—42no—
333#33556C4711yesmaximal, characteristic, direct product factor, Sylow
334C22×C47—21no—
335C22×C47—21no—
336C22×C47—21no—
337C22×C47—41no—
338C22×C47—41no—
339C22×C47—41no—
340C22×C47—42no—
341C22×C47—41no—
342C22×C47—41no—
343C22×C47—42no—
344C22×C47—42no—
345C22×C47—42no—
346C22×C47—41no—
347C22×C47—42no—
348C22×C47—82no—
349C22×C47—82no—
350C22×C47—81no—
351C22×C47—161no—
352C22×C47—162no—
353C22×C47C2×#12011yescharacteristic
354C4×C47—21no—
355C4×C47—21no—
356C4×C47—21no—
357C4×C47—41no—
358C4×C47—42no—
359C4×C47—42no—
360C4×C47—41no—
361C4×C47—42no—
362C4×C47—41no—
363C4×C47—42no—
364C4×C47—82no—
365C4×C47—82no—
366C4×C47B(4,𝔽2)11yescharacteristic
367C4×C47B(4,𝔽2)11yescharacteristic
368#3540C2×C4711yescharacteristic, complemented
369#3028C2×C4711yescharacteristic, complemented
370#3025C2×C4711yescharacteristic, complemented
371#3021C2×C4711yescharacteristic, complemented
372#2200C2×C4714yescomplemented
373#2198C2×C4714yescomplemented
374#2128C2×C4711yescharacteristic, complemented
375#2123C2×C4711yescharacteristic, complemented
376#2120C2×C4711yescharacteristic, complemented
377C2×C47—21no—
378C2×C47—41no—
379C2×C47—41no—
380C2×C47—41no—
381C2×C47—81no—
382C2×C47—82no—
383C2×C47—82no—
384C2×C47C2×B(4,𝔽2)11yescharacteristic
385#585C22×C4711yescharacteristic
386C2×AGL(1,ℤ/8)—21no—
387H(3,𝔽4)—21no—
388#560C22×C4712yescomplemented
389#559C22×C4712yescomplemented
390#556—21no—
391#555—21no—
392#551—21no—
393#548—21no—
394#546—21no—
395#542—22no—
396#542—21no—
397#538—22no—
398#536—21no—
399#536C22×C4711yescharacteristic
400#535C22×C4711yescharacteristic
401#525—21no—
402#525—21no—
403#525C22×C4711yescharacteristic
404#458—21no—
405#458—22no—
406#458C22×C4712yescomplemented
407#458C22×C4714yescomplemented
408B(4,𝔽2)—21no—
409B(4,𝔽2)C22×C4712yescomplemented
410#454—22no—
411#453C22×C4714yes—
412#421—21no—
413#413C22×C4711yescharacteristic
414#410—21no—
415#410—21no—
416#410C22×C4711yescharacteristic
417#410C22×C4711yescharacteristic
418#353C22×C4714yescomplemented
419#352C22×C4712yescomplemented
420#352C22×C4714yescomplemented
421AΣL(1,𝔽16)C22×C4712yescomplemented
422C47#3355611yescharacteristic, direct product factor, Sylow
4232−1+4—21no—
4242−1+4—41no—
425H(5,𝔽2)—21no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—41no—
428H(5,𝔽2)C23×C4712yes—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—42no—
434C2×#41C23×C4711yescharacteristic
435C22×Q8D4×C4711yescharacteristic, complemented
436C22×D4D4×C4711yescharacteristic, complemented
437C23×C4D4×C4711yescharacteristic
438AGL(1,ℤ/8)—24no—
439AGL(1,ℤ/8)—42no—
440C2×SD16—41no—
441C2×D8—41no—
442C2×M16—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8—41no—
446#127C23×C4712yes—
447#126—22no—
448#126—22no—
449#126—22no—
450#124—22no—
451#124—21no—
452#124—22no—
453#124—22no—
454#124—21no—
455#124—22no—
456#124—22no—
457#124—41no—
458#124D4×C4712yescomplemented
459#123—22no—
460#123—22no—
461#123—22no—
462#123—22no—
463#123—24no—
464#123D4×C4711yescharacteristic
465#123D4×C4712yescomplemented
466#123C23×C4711yescharacteristic
467#123C23×C4712yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—42no—
475C22⋊Q8—41no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—21no—
487#120—21no—
488#120—22no—
489#120D4×C4711yescharacteristic
490#120C23×C4711yescharacteristic
491C4×Q8—21no—
492C4×Q8—22no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—22no—
499C4×D4—42no—
500#117—21no—
501#117—22no—
502#117—21no—
503#117—21no—
504#117D4×C4711yescharacteristic
505#117D4×C4711yescharacteristic, complemented
506#117D4×C4711yescharacteristic, complemented
507C2×C22⋊C4—22no—
508#104—24no—
509#101—21no—
510#100C23×C4712yes—
511#99—21no—
512#99—21no—
513#99—22no—
514#99—22no—
515#99—24no—
516#99C23×C4712yes—
517#99C23×C4712yes—
518C24—21no—
519C24C2×D4×C4711yescharacteristic
520#41—22no—
521#41—22no—
522#41—41no—
523#41—41no—
524#41—42no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—81no—
537#41—81no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—22no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C4711yescharacteristic
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—41no—
566C2×D4—42no—
567C2×D4C2×D4×C4711yescharacteristic
568C2×D4C2×D4×C4711yescharacteristic
569C2×D4C2×D4×C4712yes—
570C2×D4C24×C4711yescharacteristic
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—41no—
580C22×C4C2×D4×C4711yescharacteristic
581C22×C4C2×D4×C4711yescharacteristic
582C22×C4C2×D4×C4711yescharacteristic
583C22×C4C2×D4×C4711yescharacteristic
584C22×C4C2×D4×C4712yes—
585SD16—44no—
586D8—44no—
587M16—22no—
588M16—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—42no—
603C4⋊C4—44no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4C2×D4×C4711yescharacteristic
625C22⋊C4C2×D4×C4711yescharacteristic
626C22⋊C4C2×D4×C4712yes—
627C42—22no—
628C42—22no—
629C42—21no—
630C42—21no—
631C42—41no—
632C42—41no—
633C42C2×D4×C4712yes—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23—82no—
643C23#120×C4711yescharacteristic
644C23C22×D4×C4711yescharacteristic
645C23C22×D4×C4711yescharacteristic
646Q8—22no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—81no—
654Q8—82no—
655D4—22no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—82no—
672D4—82no—
673D4—81no—
674D4—82no—
675D4—84no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4#120×C4711yescharacteristic
705C2×C4#120×C4711yescharacteristic
706C2×C4#120×C4711yescharacteristic
707C2×C4C22×D4×C4711yescharacteristic
708C8—42no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—161no—
727C22—162no—
728C22C2×#120×C4711yescharacteristic
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4C47×B(4,𝔽2)11yescharacteristic
742C4C47×B(4,𝔽2)11yescharacteristic
743C2—21no—
744C2—41no—
745C2—41no—
746C2—41no—
747C2—81no—
748C2—82no—
749C2—82no—
750C2C2×C47×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C47C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C47
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C47 ◁ C2×C4×C47 ◁ C2×#41×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3540C2semidirect
2. C47×#3028C2semidirect
3. C47×#3025C2semidirect
4. C47×#3021C2semidirect
5. C47×#2200C2semidirect
6. C47×#2198C2semidirect
7. C47×#2128C2semidirect
8. C47×#2123C2semidirect
9. C47×#2120C2semidirect
13. C47×#560C22semidirect
14. C47×#559C22semidirect
31. C47×#458C22semidirect
32. C47×#458C22semidirect
34. C47×B(4,𝔽2)C22semidirect
43. C47×#353C22semidirect
44. C47×#352C22semidirect
45. C47×#352C22semidirect
46. C47×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C47D4semidirect
60. C22×D4×C47D4semidirect
82. #124×C47D4semidirect
89. #123×C47D4semidirect
129. #117×C47D4semidirect
130. #117×C47D4semidirect
333. #33556C47direct (N × H)
368. #3540C2×C47semidirect
369. #3028C2×C47semidirect
370. #3025C2×C47semidirect
371. #3021C2×C47semidirect
372. #2200C2×C47semidirect
373. #2198C2×C47semidirect
374. #2128C2×C47semidirect
375. #2123C2×C47semidirect
376. #2120C2×C47semidirect
388. #560C22×C47semidirect
389. #559C22×C47semidirect
406. #458C22×C47semidirect
407. #458C22×C47semidirect
409. B(4,𝔽2)C22×C47semidirect
418. #353C22×C47semidirect
419. #352C22×C47semidirect
420. #352C22×C47semidirect
421. AΣL(1,𝔽16)C22×C47semidirect
422. C47#33556direct (N × H)
435. C22×Q8D4×C47semidirect
436. C22×D4D4×C47semidirect
458. #124D4×C47semidirect
465. #123D4×C47semidirect
505. #117D4×C47semidirect
506. #117D4×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#35402
C47×#30282
C47×#30252
C47×#30212
C47×#22002
C47×#21982
C47×#21282
C47×#21232
C47×#21202
#3355647