Finite Group Databasebeta

← C47×#25197 #26064895

Subgroups — C47×#25197 #26064895

Order 12032.

968 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3068C211yesmaximal, characteristic, complemented
2C47×#3068C211yesmaximal, characteristic, complemented
3C47×#3020C211yesmaximal, characteristic, complemented
4C2×C47×#454C211yesmaximal, characteristic, complemented
5C47×#2956C211yesmaximal, characteristic, complemented
6C47×#2889C211yesmaximal, characteristic, complemented
7C47×#2070C211yesmaximal, characteristic, complemented
8C47×#2050C211yesmaximal, characteristic, complemented
9C47×#2048C211yesmaximal, characteristic, complemented
10C47×#2003C211yesmaximal, characteristic, complemented
11C47×#1967C211yesmaximal, characteristic, complemented
12C47×#1932C211yesmaximal, characteristic, complemented
13C47×#1915C211yesmaximal, characteristic, complemented
14C47×#1903C211yesmaximal, characteristic, complemented
15C47×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C47C2211yescharacteristic
17C47×#575C2211yescharacteristic
18C47×#575C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
22C47×#568C2211yescharacteristic
23C47×#568C2211yescharacteristic
24C47×#568C2211yescharacteristic
25C47×#536C2211yescharacteristic
26C2×#124×C47C2211yescharacteristic
27C47×#472—22no—
28C47×#472—22no—
29C47×#471—22no—
30C47×#471—22no—
31C47×#456—22no—
32C47×#454—22no—
33C47×#454—22no—
34C47×#454—22no—
35C47×#444—22no—
36C47×#443—22no—
37C47×#430C2211yescharacteristic
38C47×#430C2211yescharacteristic
39C47×#430C2211yescharacteristic
40C47×#423C2211yescharacteristic
41C47×#421C2211yescharacteristic
42C47×#421C2211yescharacteristic
43C2×#104×C47C2211yescharacteristic
44C2×#104×C47C2211yescharacteristic
45C2×#104×C47C2211yescharacteristic
46C47×#418C2211yescharacteristic
47C47×#413—22no—
48C47×#413C2211yescharacteristic
49C47×#413C2211yescharacteristic
50C47×#413C2211yescharacteristic
51C2×#101×C47—22no—
52C2×#101×C47C2211yescharacteristic
53C2×#101×C47C2211yescharacteristic
54C2×#101×C47C2211yescharacteristic
55C2×#101×C47C2211yescharacteristic
56C2×#100×C47C2211yescharacteristic
57C2×#100×C47C2211yescharacteristic
58C4×M16×C47C2211yescharacteristic
59C47×#344C2211yescharacteristic
60C47×#344C2211yescharacteristic
61C47×#339C2211yescharacteristic
62C47×#338C2211yescharacteristic
632−1+4×C47—22no—
642−1+4×C47—22no—
652−1+4×C47—41no—
662−1+4×C47—41no—
67C2×#41×C47—21no—
68C2×#41×C47—21no—
69C2×#41×C47—22no—
70C2×#41×C47C2311yescharacteristic
71C2×#41×C47C2311yescharacteristic
72C2×#41×C47C2311yescharacteristic
73C22×Q8×C47—21no—
74C22×Q8×C47—21no—
75C22×Q8×C47C2311yescharacteristic
76C22×D4×C47C2311yescharacteristic
77#137×C47—21no—
78#137×C47—21no—
79#137×C47—21no—
80#137×C47D412yes—
81AGL(1,ℤ/8)×C47—21no—
82AGL(1,ℤ/8)×C47—22no—
83AGL(1,ℤ/8)×C47—22no—
84AGL(1,ℤ/8)×C47—21no—
85AGL(1,ℤ/8)×C47—21no—
86AGL(1,ℤ/8)×C47—22no—
87AGL(1,ℤ/8)×C47—22no—
88AGL(1,ℤ/8)×C47—41no—
89AGL(1,ℤ/8)×C47—41no—
90AGL(1,ℤ/8)×C47D412yes—
91#135×C47—22no—
92#135×C47—41no—
93C2×SD16×C47—21no—
94C2×SD16×C47—21no—
95C2×SD16×C47—21no—
96C2×D8×C47—21no—
97C2×D8×C47—21no—
98C2×D8×C47—21no—
99#131×C47—22no—
100#131×C47—22no—
101#131×C47—22no—
102#131×C47—22no—
103#131×C47—41no—
104#131×C47—41no—
105C2×M16×C47—22no—
106C2×M16×C47—22no—
107C2×M16×C47—41no—
108C2×M16×C47C2311yescharacteristic
109C2×M16×C47C2311yescharacteristic
110C2×M16×C47C2311yescharacteristic
111C2×M16×C47C2311yescharacteristic
112C2×M16×C47C2311yescharacteristic
113C2×M16×C47C2311yescharacteristic
114C2×M16×C47C2311yescharacteristic
115C2×M16×C47C2311yescharacteristic
116C4⋊Q8×C47—21no—
117#124×C47—21no—
118#124×C47—21no—
119#124×C47—21no—
120#124×C47—41no—
121#123×C47—22no—
122C22⋊Q8×C47—41no—
123#117×C47C2311yescharacteristic
124C2×C22⋊C4×C47—22no—
125C2×C42×C47C2311yescharacteristic
126#108×C47—22no—
127#108×C47—22no—
128#108×C47—22no—
129C4⋊C8×C47—41no—
130#104×C47—22no—
131#104×C47—22no—
132#104×C47—21no—
133#104×C47—21no—
134#104×C47—21no—
135#104×C47—21no—
136#104×C47D412yes—
137#104×C47D412yes—
138#102×C47—41no—
139#101×C47—21no—
140#101×C47—21no—
141#101×C47—22no—
142#101×C47—22no—
143#101×C47—22no—
144#101×C47—22no—
145#101×C47D412yes—
146#100×C47—21no—
147#100×C47—21no—
148#100×C47—22no—
149#100×C47—22no—
150#100×C47D412yes—
151#97×C47—21no—
152C4×C8×C47—21no—
153C24×C47—21no—
154#41×C47—21no—
155#41×C47—21no—
156#41×C47—21no—
157#41×C47—21no—
158#41×C47—21no—
159#41×C47—21no—
160#41×C47—21no—
161#41×C47—21no—
162#41×C47—21no—
163#41×C47—21no—
164#41×C47—42no—
165#41×C47—42no—
166#41×C47—44no—
167#41×C47—44no—
168#41×C47—42no—
169#41×C47—42no—
170#41×C47C2×D412yes—
171#41×C47C2×D412yes—
172C2×Q8×C47—22no—
173C2×Q8×C47—21no—
174C2×Q8×C47—21no—
175C2×Q8×C47—21no—
176C2×Q8×C47—21no—
177C2×Q8×C47—21no—
178C2×Q8×C47—21no—
179C2×Q8×C47—42no—
180C2×Q8×C47—42no—
181C2×Q8×C47—42no—
182C2×Q8×C47—42no—
183C2×Q8×C47C2×D411yescharacteristic
184C2×Q8×C47C2×D411yescharacteristic
185C2×Q8×C47#4111yescharacteristic
186C2×D4×C47—21no—
187C2×D4×C47—22no—
188C2×D4×C47—21no—
189C2×D4×C47—21no—
190C2×D4×C47—21no—
191C2×D4×C47—21no—
192C2×D4×C47—21no—
193C2×D4×C47—21no—
194C2×D4×C47—21no—
195C2×D4×C47—21no—
196C2×D4×C47C2×D411yescharacteristic
197C2×D4×C47C2×D411yescharacteristic
198C2×D4×C47#4111yescharacteristic
199C22×C4×C47—21no—
200C22×C4×C47—22no—
201C22×C4×C47—22no—
202C22×C4×C47—21no—
203C22×C4×C47—21no—
204C22×C4×C47—21no—
205C22×C4×C47#4112yes—
206C22×C4×C47C2411yescharacteristic
207Q16×C47—22no—
208Q16×C47—41no—
209SD16×C47—22no—
210SD16×C47—22no—
211SD16×C47—42no—
212SD16×C47—42no—
213SD16×C47—41no—
214SD16×C47—41no—
215SD16×C47—42no—
216D8×C47—22no—
217D8×C47—42no—
218D8×C47—42no—
219D8×C47—41no—
220D8×C47—42no—
221M16×C47—21no—
222M16×C47—21no—
223M16×C47—21no—
224M16×C47—21no—
225M16×C47—21no—
226M16×C47—21no—
227M16×C47—21no—
228M16×C47—21no—
229M16×C47—21no—
230M16×C47—21no—
231M16×C47—21no—
232M16×C47—21no—
233M16×C47—42no—
234M16×C47—42no—
235M16×C47—42no—
236M16×C47C2×D412yes—
237M16×C47C2×D412yes—
238M16×C47C2×D412yes—
239M16×C47C2×D412yes—
240C2×C8×C47—21no—
241C2×C8×C47—21no—
242C2×C8×C47—21no—
243C2×C8×C47—21no—
244C2×C8×C47—21no—
245C2×C8×C47—21no—
246C2×C8×C47—21no—
247C2×C8×C47—21no—
248C2×C8×C47—42no—
249C2×C8×C47—42no—
250C2×C8×C47—42no—
251C4⋊C4×C47—21no—
252C4⋊C4×C47—42no—
253C22⋊C4×C47—21no—
254C22⋊C4×C47—42no—
255C22⋊C4×C47—42no—
256C22⋊C4×C47—42no—
257C42×C47—21no—
258C42×C47—21no—
259C42×C47C2×D411yescharacteristic
260C42×C47C2×D411yescharacteristic
261C23×C47—21no—
262C23×C47—21no—
263C23×C47—21no—
264C23×C47—41no—
265C23×C47—41no—
266C23×C47—41no—
267C23×C47—82no—
268C23×C47C2×#4111yescharacteristic
269Q8×C47—21no—
270Q8×C47—21no—
271Q8×C47—21no—
272Q8×C47—21no—
273Q8×C47—21no—
274Q8×C47—44no—
275Q8×C47—41no—
276Q8×C47—41no—
277Q8×C47—41no—
278Q8×C47—41no—
279Q8×C47#12112yes—
280D4×C47—22no—
281D4×C47—22no—
282D4×C47—21no—
283D4×C47—21no—
284D4×C47—21no—
285D4×C47—21no—
286D4×C47—21no—
287D4×C47—44no—
288D4×C47—41no—
289D4×C47—41no—
290D4×C47—41no—
291D4×C47—41no—
292D4×C47—41no—
293D4×C47—41no—
294D4×C47—41no—
295D4×C47—41no—
296D4×C47#12112yes—
297C2×C4×C47—21no—
298C2×C4×C47—22no—
299C2×C4×C47—22no—
300C2×C4×C47—21no—
301C2×C4×C47—22no—
302C2×C4×C47—21no—
303C2×C4×C47—21no—
304C2×C4×C47—22no—
305C2×C4×C47—22no—
306C2×C4×C47—21no—
307C2×C4×C47—44no—
308C2×C4×C47—44no—
309C2×C4×C47—41no—
310C2×C4×C47—41no—
311C2×C4×C47—41no—
312C2×C4×C47—41no—
313C2×C4×C47—41no—
314C2×C4×C47—81no—
315C2×C4×C47C22×D411yescharacteristic
316C2×C4×C47C22×D411yescharacteristic
317C2×C4×C47C22×D411yescharacteristic
318C2×C4×C47C2×#4111yescharacteristic
319C2×C4×C47H(5,𝔽2)11yescharacteristic
320C2×C4×C47H(5,𝔽2)11yescharacteristic
321C8×C47—22no—
322C8×C47—22no—
323C8×C47—22no—
324C8×C47—22no—
325C8×C47—41no—
326C8×C47—41no—
327C8×C47—41no—
328C8×C47—41no—
329#25197C4711yesmaximal, characteristic, direct product factor, Sylow
330C22×C47—22no—
331C22×C47—41no—
332C22×C47—41no—
333C22×C47—41no—
334C22×C47—81no—
335C22×C47—81no—
336C22×C47—81no—
337C22×C47—82no—
338C22×C47—81no—
339C22×C47—161no—
340C22×C47—161no—
341C22×C47#52511yescharacteristic
342C22×C47#54611yescharacteristic
343C22×C47#54611yescharacteristic
344C4×C47—22no—
345C4×C47—41no—
346C4×C47—41no—
347C4×C47—42no—
348C4×C47—41no—
349C4×C47—41no—
350C4×C47—81no—
351C4×C47C2×#12111yescharacteristic
352C4×C47#53811yescharacteristic
353C4×C47D4211yescharacteristic
354C4×C47D4211yescharacteristic
355#3068C2×C4711yescharacteristic, complemented
356#3068C2×C4711yescharacteristic, complemented
357#3020C2×C4711yescharacteristic, complemented
358C2×#454C2×C4711yescharacteristic, complemented
359#2956C2×C4711yescharacteristic, complemented
360#2889C2×C4711yescharacteristic, complemented
361#2070C2×C4711yescharacteristic, complemented
362#2050C2×C4711yescharacteristic, complemented
363#2048C2×C4711yescharacteristic, complemented
364#2003C2×C4711yescharacteristic, complemented
365#1967C2×C4711yescharacteristic, complemented
366#1932C2×C4711yescharacteristic, complemented
367#1915C2×C4711yescharacteristic, complemented
368#1903C2×C4711yescharacteristic, complemented
369#1861C2×C4711yescharacteristic, complemented
370C2×C47—21no—
371C2×C47—21no—
372C2×C47—21no—
373C2×C47—42no—
374C2×C47—81no—
375C2×C47—81no—
376C2×C47—161no—
377C2×C47#242411yescharacteristic
378C2×2−1+4C22×C4711yescharacteristic
379#575C22×C4711yescharacteristic
380#575C22×C4711yescharacteristic
381C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
382C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
383C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
384#568C22×C4711yescharacteristic
385#568C22×C4711yescharacteristic
386#568C22×C4711yescharacteristic
387#536C22×C4711yescharacteristic
388C2×#124C22×C4711yescharacteristic
389#472—22no—
390#472—22no—
391#471—22no—
392#471—22no—
393#456—22no—
394#454—22no—
395#454—22no—
396#454—22no—
397#444—22no—
398#443—22no—
399#430C22×C4711yescharacteristic
400#430C22×C4711yescharacteristic
401#430C22×C4711yescharacteristic
402#423C22×C4711yescharacteristic
403#421C22×C4711yescharacteristic
404#421C22×C4711yescharacteristic
405C2×#104C22×C4711yescharacteristic
406C2×#104C22×C4711yescharacteristic
407C2×#104C22×C4711yescharacteristic
408#418C22×C4711yescharacteristic
409#413—22no—
410#413C22×C4711yescharacteristic
411#413C22×C4711yescharacteristic
412#413C22×C4711yescharacteristic
413C2×#101—22no—
414C2×#101C22×C4711yescharacteristic
415C2×#101C22×C4711yescharacteristic
416C2×#101C22×C4711yescharacteristic
417C2×#101C22×C4711yescharacteristic
418C2×#100C22×C4711yescharacteristic
419C2×#100C22×C4711yescharacteristic
420C4×M16C22×C4711yescharacteristic
421#344C22×C4711yescharacteristic
422#344C22×C4711yescharacteristic
423#339C22×C4711yescharacteristic
424#338C22×C4711yescharacteristic
425C47#2519711yescharacteristic, direct product factor, Sylow
4262−1+4—22no—
4272−1+4—22no—
4282−1+4—41no—
4292−1+4—41no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41C23×C4711yescharacteristic
434C2×#41C23×C4711yescharacteristic
435C2×#41C23×C4711yescharacteristic
436C22×Q8—21no—
437C22×Q8—21no—
438C22×Q8C23×C4711yescharacteristic
439C22×D4C23×C4711yescharacteristic
440#137—21no—
441#137—21no—
442#137—21no—
443#137D4×C4712yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—22no—
446AGL(1,ℤ/8)—22no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)—21no—
449AGL(1,ℤ/8)—22no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—41no—
452AGL(1,ℤ/8)—41no—
453AGL(1,ℤ/8)D4×C4712yes—
454#135—22no—
455#135—41no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—21no—
459C2×D8—21no—
460C2×D8—21no—
461C2×D8—21no—
462#131—22no—
463#131—22no—
464#131—22no—
465#131—22no—
466#131—41no—
467#131—41no—
468C2×M16—22no—
469C2×M16—22no—
470C2×M16—41no—
471C2×M16C23×C4711yescharacteristic
472C2×M16C23×C4711yescharacteristic
473C2×M16C23×C4711yescharacteristic
474C2×M16C23×C4711yescharacteristic
475C2×M16C23×C4711yescharacteristic
476C2×M16C23×C4711yescharacteristic
477C2×M16C23×C4711yescharacteristic
478C2×M16C23×C4711yescharacteristic
479C4⋊Q8—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124—41no—
484#123—22no—
485C22⋊Q8—41no—
486#117C23×C4711yescharacteristic
487C2×C22⋊C4—22no—
488C2×C42C23×C4711yescharacteristic
489#108—22no—
490#108—22no—
491#108—22no—
492C4⋊C8—41no—
493#104—22no—
494#104—22no—
495#104—21no—
496#104—21no—
497#104—21no—
498#104—21no—
499#104D4×C4712yes—
500#104D4×C4712yes—
501#102—41no—
502#101—21no—
503#101—21no—
504#101—22no—
505#101—22no—
506#101—22no—
507#101—22no—
508#101D4×C4712yes—
509#100—21no—
510#100—21no—
511#100—22no—
512#100—22no—
513#100D4×C4712yes—
514#97—21no—
515C4×C8—21no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—42no—
528#41—42no—
529#41—44no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41C2×D4×C4712yes—
534#41C2×D4×C4712yes—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C4711yescharacteristic
547C2×Q8C2×D4×C4711yescharacteristic
548C2×Q8#41×C4711yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×D4×C4711yescharacteristic
560C2×D4C2×D4×C4711yescharacteristic
561C2×D4#41×C4711yescharacteristic
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4#41×C4712yes—
569C22×C4C24×C4711yescharacteristic
570Q16—22no—
571Q16—41no—
572SD16—22no—
573SD16—22no—
574SD16—42no—
575SD16—42no—
576SD16—41no—
577SD16—41no—
578SD16—42no—
579D8—22no—
580D8—42no—
581D8—42no—
582D8—41no—
583D8—42no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—42no—
598M16—42no—
599M16C2×D4×C4712yes—
600M16C2×D4×C4712yes—
601M16C2×D4×C4712yes—
602M16C2×D4×C4712yes—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—42no—
613C2×C8—42no—
614C4⋊C4—21no—
615C4⋊C4—42no—
616C22⋊C4—21no—
617C22⋊C4—42no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C42—21no—
621C42—21no—
622C42C2×D4×C4711yescharacteristic
623C42C2×D4×C4711yescharacteristic
624C23—21no—
625C23—21no—
626C23—21no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—82no—
631C23C2×#41×C4711yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—44no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8#121×C4712yes—
643D4—22no—
644D4—22no—
645D4—21no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—44no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4#121×C4712yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4C22×D4×C4711yescharacteristic
679C2×C4C22×D4×C4711yescharacteristic
680C2×C4C22×D4×C4711yescharacteristic
681C2×C4C2×#41×C4711yescharacteristic
682C2×C4H(5,𝔽2)×C4711yescharacteristic
683C2×C4H(5,𝔽2)×C4711yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—81no—
701C22—161no—
702C22—161no—
703C22C47×#52511yescharacteristic
704C22C47×#54611yescharacteristic
705C22C47×#54611yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4C2×#121×C4711yescharacteristic
714C4C47×#53811yescharacteristic
715C4D42×C4711yescharacteristic
716C4D42×C4711yescharacteristic
717C2—21no—
718C2—21no—
719C2—21no—
720C2—42no—
721C2—81no—
722C2—81no—
723C2—161no—
724C2C47×#242411yescharacteristic
subgroupG/H
center, socleC2×C47#2424
commutator, Frattini, cosocleC22×C4C24×C47
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C47 ◁ C22×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3068C2semidirect
2. C47×#3068C2semidirect
3. C47×#3020C2semidirect
4. C2×C47×#454C2semidirect
5. C47×#2956C2semidirect
6. C47×#2889C2semidirect
7. C47×#2070C2semidirect
8. C47×#2050C2semidirect
9. C47×#2048C2semidirect
10. C47×#2003C2semidirect
11. C47×#1967C2semidirect
12. C47×#1932C2semidirect
13. C47×#1915C2semidirect
14. C47×#1903C2semidirect
15. C47×#1861C2semidirect
329. #25197C47direct (N × H)
355. #3068C2×C47semidirect
356. #3068C2×C47semidirect
357. #3020C2×C47semidirect
358. C2×#454C2×C47semidirect
359. #2956C2×C47semidirect
360. #2889C2×C47semidirect
361. #2070C2×C47semidirect
362. #2050C2×C47semidirect
363. #2048C2×C47semidirect
364. #2003C2×C47semidirect
365. #1967C2×C47semidirect
366. #1932C2×C47semidirect
367. #1915C2×C47semidirect
368. #1903C2×C47semidirect
369. #1861C2×C47semidirect
425. C47#25197direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#30682
C47×#30202
C2×C47×#4542
C47×#29562
C47×#28892
C47×#20702
C47×#20502
C47×#20482
C47×#20032
C47×#19672
C47×#19322
C47×#19152
C47×#19032
C47×#18612
#2519747