Finite Group Databasebeta

← C47×#33555 #26073253

Subgroups — C47×#33555 #26073253

Order 12032.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3540C211yesmaximal, characteristic, complemented
2C47×#3027C211yesmaximal, characteristic, complemented
3C47×#3025C211yesmaximal, characteristic, complemented
4C47×#3022C211yesmaximal, characteristic, complemented
5C47×#2199C214yesmaximal, complemented
6C47×#2197C214yesmaximal, complemented
7C47×#2129C211yesmaximal, characteristic, complemented
8C47×#2122C211yesmaximal, characteristic, complemented
9C47×#2120C211yesmaximal, characteristic, complemented
10C47×#585C2211yescharacteristic
11C2×#137×C47—21no—
12C47×H(3,𝔽4)C2212yescomplemented
13C47×#560—21no—
14C47×#559—21no—
15C47×#556—21no—
16C47×#555—21no—
17C47×#551C2212yescomplemented
18C47×#548—21no—
19C47×#546—21no—
20C47×#542—22no—
21C47×#542—21no—
22C47×#538—22no—
23C47×#536C2211yescharacteristic
24C47×#535—21no—
25C47×#535C2211yescharacteristic
26C47×#525—21no—
27C47×#525—21no—
28C47×#525C2211yescharacteristic
29C47×#458—21no—
30C47×#458C2212yes—
31C47×B(4,𝔽2)—21no—
32C47×B(4,𝔽2)—22no—
33C47×B(4,𝔽2)C2214yes—
34C47×B(4,𝔽2)C2212yes—
35C47×#456—22no—
36C47×#455C2214yes—
37C47×#421—21no—
38C47×#413C2211yescharacteristic
39C47×#410—21no—
40C47×#410—21no—
41C47×#410C2211yescharacteristic
42C47×#410C2211yescharacteristic
43C47×#354C2214yescomplemented
44C47×#352C2212yescomplemented
45C47×AΣL(1,𝔽16)C2212yescomplemented
46C47×AΣL(1,𝔽16)C2214yescomplemented
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, complemented
62#137×C47—24no—
63#137×C47—42no—
64C2×Q16×C47—41no—
65C2×SD16×C47—41no—
66C2×M16×C47—21no—
67C4⋊Q8×C47—21no—
68C4⋊Q8×C47D412yescomplemented
69#127×C47—21no—
70#127×C47—41no—
71#126×C47—22no—
72#126×C47—22no—
73#126×C47—22no—
74#124×C47—22no—
75#124×C47—21no—
76#124×C47—21no—
77#124×C47—22no—
78#124×C47—22no—
79#124×C47—22no—
80#124×C47—22no—
81#124×C47—41no—
82#124×C47C2312yes—
83#123×C47—22no—
84#123×C47—22no—
85#123×C47—21no—
86#123×C47—21no—
87#123×C47—22no—
88#123×C47—22no—
89#123×C47D411yescharacteristic, complemented
90#123×C47C2311yescharacteristic
91C22⋊Q8×C47—21no—
92C22⋊Q8×C47—22no—
93C22⋊Q8×C47—21no—
94C22⋊Q8×C47—22no—
95C22⋊Q8×C47—21no—
96C22⋊Q8×C47—21no—
97C22⋊Q8×C47—41no—
98#121×C47—21no—
99#121×C47—22no—
100#121×C47—22no—
101#121×C47—22no—
102#121×C47—21no—
103#121×C47—21no—
104#121×C47—21no—
105#121×C47—42no—
106#121×C47—41no—
107#120×C47—22no—
108#120×C47—22no—
109#120×C47—22no—
110#120×C47—24no—
111#120×C47D411yescharacteristic, complemented
112#120×C47D412yescomplemented
113#120×C47C2311yescharacteristic
114#120×C47C2312yes—
115C4×Q8×C47—21no—
116C4×Q8×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47—22no—
119C4×D4×C47—21no—
120C4×D4×C47—22no—
121C4×D4×C47—21no—
122C4×D4×C47—21no—
123C4×D4×C47—42no—
124#117×C47—21no—
125#117×C47—22no—
126#117×C47—21no—
127#117×C47—21no—
128#117×C47D411yescharacteristic, complemented
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—24no—
138#99×C47—22no—
139#99×C47—22no—
140#99×C47C2312yes—
141#99×C47C2312yes—
142C24×C47C2×D412yes—
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—41no—
168C2×Q8×C47—41no—
169C2×Q8×C47—42no—
170C2×Q8×C47C2×D412yes—
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—21no—
182C2×D4×C47—22no—
183C2×D4×C47—21no—
184C2×D4×C47—21no—
185C2×D4×C47—41no—
186C2×D4×C47—41no—
187C2×D4×C47—42no—
188C2×D4×C47—42no—
189C2×D4×C47—42no—
190C2×D4×C47—41no—
191C2×D4×C47—42no—
192C2×D4×C47—44no—
193C2×D4×C47C2×D411yescharacteristic
194C2×D4×C47C2×D411yescharacteristic
195C2×D4×C47C2411yescharacteristic
196C22×C4×C47—22no—
197C22×C4×C47—22no—
198C22×C4×C47—22no—
199C22×C4×C47—22no—
200C22×C4×C47—21no—
201C22×C4×C47—21no—
202C22×C4×C47—21no—
203C22×C4×C47—41no—
204C22×C4×C47—41no—
205C22×C4×C47—41no—
206C22×C4×C47C2×D411yescharacteristic
207C22×C4×C47C2×D411yescharacteristic
208C22×C4×C47C2×D411yescharacteristic
209C22×C4×C47C2×D411yescharacteristic
210Q16×C47—44no—
211SD16×C47—44no—
212M16×C47—22no—
213M16×C47—41no—
214C2×C8×C47—41no—
215C4⋊C4×C47—22no—
216C4⋊C4×C47—22no—
217C4⋊C4×C47—22no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—21no—
220C4⋊C4×C47—22no—
221C4⋊C4×C47—22no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—41no—
226C4⋊C4×C47—41no—
227C4⋊C4×C47—42no—
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—21no—
236C22⋊C4×C47—21no—
237C22⋊C4×C47—22no—
238C22⋊C4×C47—22no—
239C22⋊C4×C47—21no—
240C22⋊C4×C47—22no—
241C22⋊C4×C47—22no—
242C22⋊C4×C47—21no—
243C22⋊C4×C47—22no—
244C22⋊C4×C47—22no—
245C22⋊C4×C47—42no—
246C22⋊C4×C47—44no—
247C22⋊C4×C47—42no—
248C22⋊C4×C47C2×D412yes—
249C22⋊C4×C47C2×D411yescharacteristic
250C22⋊C4×C47C2×D411yescharacteristic
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—22no—
261C23×C47—21no—
262C23×C47—41no—
263C23×C47—41no—
264C23×C47—42no—
265C23×C47—81no—
266C23×C47—82no—
267C23×C47#12011yescharacteristic
268C23×C47C22×D411yescharacteristic
269C23×C47C22×D411yescharacteristic
270Q8×C47—22no—
271Q8×C47—41no—
272Q8×C47—42no—
273Q8×C47—41no—
274Q8×C47—41no—
275Q8×C47—41no—
276Q8×C47—41no—
277Q8×C47—41no—
278Q8×C47—82no—
279D4×C47—22no—
280D4×C47—41no—
281D4×C47—41no—
282D4×C47—41no—
283D4×C47—41no—
284D4×C47—41no—
285D4×C47—42no—
286D4×C47—42no—
287D4×C47—42no—
288D4×C47—42no—
289D4×C47—41no—
290D4×C47—41no—
291D4×C47—41no—
292D4×C47—81no—
293D4×C47—81no—
294D4×C47—82no—
295D4×C47—82no—
296D4×C47—82no—
297D4×C47—81no—
298D4×C47—82no—
299D4×C47—84no—
300D4×C47—164no—
301C2×C4×C47—21no—
302C2×C4×C47—21no—
303C2×C4×C47—21no—
304C2×C4×C47—21no—
305C2×C4×C47—21no—
306C2×C4×C47—21no—
307C2×C4×C47—22no—
308C2×C4×C47—22no—
309C2×C4×C47—21no—
310C2×C4×C47—22no—
311C2×C4×C47—21no—
312C2×C4×C47—22no—
313C2×C4×C47—22no—
314C2×C4×C47—21no—
315C2×C4×C47—42no—
316C2×C4×C47—42no—
317C2×C4×C47—42no—
318C2×C4×C47—41no—
319C2×C4×C47—42no—
320C2×C4×C47—41no—
321C2×C4×C47—41no—
322C2×C4×C47—41no—
323C2×C4×C47—42no—
324C2×C4×C47—42no—
325C2×C4×C47—81no—
326C2×C4×C47—81no—
327C2×C4×C47—82no—
328C2×C4×C47—82no—
329C2×C4×C47#12011yescharacteristic
330C2×C4×C47#12011yescharacteristic
331C2×C4×C47#12011yescharacteristic
332C2×C4×C47C22×D411yescharacteristic
333C8×C47—42no—
334#33555C4711yesmaximal, characteristic, direct product factor, Sylow
335C22×C47—21no—
336C22×C47—21no—
337C22×C47—21no—
338C22×C47—41no—
339C22×C47—41no—
340C22×C47—41no—
341C22×C47—42no—
342C22×C47—41no—
343C22×C47—41no—
344C22×C47—42no—
345C22×C47—42no—
346C22×C47—42no—
347C22×C47—41no—
348C22×C47—42no—
349C22×C47—82no—
350C22×C47—82no—
351C22×C47—84no—
352C22×C47—81no—
353C22×C47—161no—
354C22×C47C2×#12011yescharacteristic
355C4×C47—21no—
356C4×C47—21no—
357C4×C47—21no—
358C4×C47—41no—
359C4×C47—42no—
360C4×C47—42no—
361C4×C47—41no—
362C4×C47—42no—
363C4×C47—41no—
364C4×C47—42no—
365C4×C47—82no—
366C4×C47—82no—
367C4×C47B(4,𝔽2)11yescharacteristic
368C4×C47B(4,𝔽2)11yescharacteristic
369#3540C2×C4711yescharacteristic, complemented
370#3027C2×C4711yescharacteristic, complemented
371#3025C2×C4711yescharacteristic, complemented
372#3022C2×C4711yescharacteristic, complemented
373#2199C2×C4714yescomplemented
374#2197C2×C4714yescomplemented
375#2129C2×C4711yescharacteristic, complemented
376#2122C2×C4711yescharacteristic, complemented
377#2120C2×C4711yescharacteristic, complemented
378C2×C47—21no—
379C2×C47—41no—
380C2×C47—41no—
381C2×C47—41no—
382C2×C47—81no—
383C2×C47—82no—
384C2×C47—82no—
385C2×C47C2×B(4,𝔽2)11yescharacteristic
386#585C22×C4711yescharacteristic
387C2×#137—21no—
388H(3,𝔽4)C22×C4712yescomplemented
389#560—21no—
390#559—21no—
391#556—21no—
392#555—21no—
393#551C22×C4712yescomplemented
394#548—21no—
395#546—21no—
396#542—22no—
397#542—21no—
398#538—22no—
399#536C22×C4711yescharacteristic
400#535—21no—
401#535C22×C4711yescharacteristic
402#525—21no—
403#525—21no—
404#525C22×C4711yescharacteristic
405#458—21no—
406#458C22×C4712yes—
407B(4,𝔽2)—21no—
408B(4,𝔽2)—22no—
409B(4,𝔽2)C22×C4714yes—
410B(4,𝔽2)C22×C4712yes—
411#456—22no—
412#455C22×C4714yes—
413#421—21no—
414#413C22×C4711yescharacteristic
415#410—21no—
416#410—21no—
417#410C22×C4711yescharacteristic
418#410C22×C4711yescharacteristic
419#354C22×C4714yescomplemented
420#352C22×C4712yescomplemented
421AΣL(1,𝔽16)C22×C4712yescomplemented
422AΣL(1,𝔽16)C22×C4714yescomplemented
423C47#3355511yescharacteristic, direct product factor, Sylow
4242−1+4—21no—
4252−1+4—41no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—21no—
428H(5,𝔽2)—41no—
429H(5,𝔽2)C23×C4712yes—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—42no—
435C2×#41C23×C4711yescharacteristic
436C22×Q8D4×C4711yescharacteristic, complemented
437C22×D4D4×C4711yescharacteristic, complemented
438C23×C4D4×C4711yescharacteristic, complemented
439#137—24no—
440#137—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×M16—21no—
444C4⋊Q8—21no—
445C4⋊Q8D4×C4712yescomplemented
446#127—21no—
447#127—41no—
448#126—22no—
449#126—22no—
450#126—22no—
451#124—22no—
452#124—21no—
453#124—21no—
454#124—22no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459#124C23×C4712yes—
460#123—22no—
461#123—22no—
462#123—21no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123D4×C4711yescharacteristic, complemented
467#123C23×C4711yescharacteristic
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—41no—
475#121—21no—
476#121—22no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—42no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—24no—
488#120D4×C4711yescharacteristic, complemented
489#120D4×C4712yescomplemented
490#120C23×C4711yescharacteristic
491#120C23×C4712yes—
492C4×Q8—21no—
493C4×Q8—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—22no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—42no—
501#117—21no—
502#117—22no—
503#117—21no—
504#117—21no—
505#117D4×C4711yescharacteristic, complemented
506#117D4×C4711yescharacteristic, complemented
507#117D4×C4711yescharacteristic, complemented
508C2×C22⋊C4—22no—
509#104—24no—
510#101—21no—
511#100C23×C4712yes—
512#99—21no—
513#99—21no—
514#99—24no—
515#99—22no—
516#99—22no—
517#99C23×C4712yes—
518#99C23×C4712yes—
519C24C2×D4×C4712yes—
520C24C2×D4×C4711yescharacteristic
521#41—22no—
522#41—22no—
523#41—41no—
524#41—41no—
525#41—42no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—81no—
538#41—81no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C4712yes—
548C2×Q8C2×D4×C4711yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—42no—
569C2×D4—44no—
570C2×D4C2×D4×C4711yescharacteristic
571C2×D4C2×D4×C4711yescharacteristic
572C2×D4C24×C4711yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4C2×D4×C4711yescharacteristic
584C22×C4C2×D4×C4711yescharacteristic
585C22×C4C2×D4×C4711yescharacteristic
586C22×C4C2×D4×C4711yescharacteristic
587Q16—44no—
588SD16—44no—
589M16—22no—
590M16—41no—
591C2×C8—41no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—42no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4—42no—
625C22⋊C4C2×D4×C4712yes—
626C22⋊C4C2×D4×C4711yescharacteristic
627C22⋊C4C2×D4×C4711yescharacteristic
628C42—22no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42—41no—
633C42—41no—
634C42C2×D4×C4712yes—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23#120×C4711yescharacteristic
645C23C22×D4×C4711yescharacteristic
646C23C22×D4×C4711yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C4711yescharacteristic
707C2×C4#120×C4711yescharacteristic
708C2×C4#120×C4711yescharacteristic
709C2×C4C22×D4×C4711yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×#120×C4711yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4C47×B(4,𝔽2)11yescharacteristic
744C4C47×B(4,𝔽2)11yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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×#3027C2semidirect
3. C47×#3025C2semidirect
4. C47×#3022C2semidirect
5. C47×#2199C2semidirect
6. C47×#2197C2semidirect
7. C47×#2129C2semidirect
8. C47×#2122C2semidirect
9. C47×#2120C2semidirect
12. C47×H(3,𝔽4)C22semidirect
17. C47×#551C22semidirect
43. C47×#354C22semidirect
44. C47×#352C22semidirect
45. C47×AΣL(1,𝔽16)C22semidirect
46. C47×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C47D4semidirect
60. C22×D4×C47D4semidirect
61. C23×C4×C47D4semidirect
68. C4⋊Q8×C47D4semidirect
89. #123×C47D4semidirect
111. #120×C47D4semidirect
112. #120×C47D4semidirect
128. #117×C47D4semidirect
129. #117×C47D4semidirect
130. #117×C47D4semidirect
334. #33555C47direct (N × H)
369. #3540C2×C47semidirect
370. #3027C2×C47semidirect
371. #3025C2×C47semidirect
372. #3022C2×C47semidirect
373. #2199C2×C47semidirect
374. #2197C2×C47semidirect
375. #2129C2×C47semidirect
376. #2122C2×C47semidirect
377. #2120C2×C47semidirect
388. H(3,𝔽4)C22×C47semidirect
393. #551C22×C47semidirect
419. #354C22×C47semidirect
420. #352C22×C47semidirect
421. AΣL(1,𝔽16)C22×C47semidirect
422. AΣL(1,𝔽16)C22×C47semidirect
423. C47#33555direct (N × H)
436. C22×Q8D4×C47semidirect
437. C22×D4D4×C47semidirect
438. C23×C4D4×C47semidirect
445. C4⋊Q8D4×C47semidirect
466. #123D4×C47semidirect
488. #120D4×C47semidirect
489. #120D4×C47semidirect
505. #117D4×C47semidirect
506. #117D4×C47semidirect
507. #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×#30272
C47×#30252
C47×#30222
C47×#21992
C47×#21972
C47×#21292
C47×#21222
C47×#21202
#3355547