Finite Group Databasebeta

← C47×#25198 #26064896

Subgroups — C47×#25198 #26064896

Order 12032.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3069C211yesmaximal, characteristic, complemented
2C47×#3069C211yesmaximal, characteristic, complemented
3C47×#3020C211yesmaximal, characteristic
4C2×C47×#456C211yesmaximal, characteristic, complemented
5C47×#2956C211yesmaximal, characteristic, complemented
6C47×#2889C211yesmaximal, characteristic, complemented
7C47×#2070C211yesmaximal, characteristic, complemented
8C47×#2050C211yesmaximal, characteristic, complemented
9C47×#2049C211yesmaximal, characteristic, complemented
10C47×#2005C211yesmaximal, characteristic, complemented
11C47×#1966C211yesmaximal, characteristic, complemented
12C47×#1932C211yesmaximal, characteristic, complemented
13C47×#1915C211yesmaximal, characteristic, complemented
14C47×#1902C211yesmaximal, characteristic, complemented
15C47×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C47C2211yescharacteristic
17C47×#575C2211yescharacteristic
18C47×#575C2211yescharacteristic
19C2×#137×C47C2211yescharacteristic
20C2×#137×C47C2211yescharacteristic
21C2×#137×C47C2211yescharacteristic
22C47×#568C2211yescharacteristic
23C47×#568C2211yescharacteristic
24C47×#568C2211yescharacteristic
25C47×#536C2211yescharacteristic
26C2×C4⋊Q8×C47C2211yescharacteristic
27C47×#473—22no—
28C47×#473—22no—
29C47×#471—22no—
30C47×#471—22no—
31C47×#456—22no—
32C47×#456—22no—
33C47×#456—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×#419C2211yescharacteristic
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×#101×C47C2211yescharacteristic
57C2×#101×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×Q8×C47C2311yescharacteristic
77#137×C47—21no—
78#137×C47—22no—
79#137×C47—22no—
80#137×C47—21no—
81#137×C47—21no—
82#137×C47—22no—
83#137×C47—22no—
84#137×C47—41no—
85#137×C47—41no—
86#137×C47D412yes—
87AGL(1,ℤ/8)×C47—21no—
88AGL(1,ℤ/8)×C47—21no—
89AGL(1,ℤ/8)×C47—21no—
90AGL(1,ℤ/8)×C47D412yes—
91#135×C47—22no—
92#135×C47—41no—
93C2×Q16×C47—21no—
94C2×Q16×C47—21no—
95C2×Q16×C47—21no—
96C2×SD16×C47—21no—
97C2×SD16×C47—21no—
98C2×SD16×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—
117C4⋊Q8×C47—21no—
118C4⋊Q8×C47—21no—
119C4⋊Q8×C47—41no—
120#124×C47—21no—
121#123×C47—22no—
122C22⋊Q8×C47—41no—
123#117×C47C2311yescharacteristic
124C2×C4⋊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#103×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×C47—22no—
146#101×C47—22no—
147#101×C47D412yes—
148#100×C47—21no—
149#100×C47—21no—
150#100×C47D412yes—
151#97×C47—21no—
152C4×C8×C47—21no—
153#41×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—42no—
164#41×C47—42no—
165#41×C47—44no—
166#41×C47—44no—
167#41×C47—42no—
168#41×C47—42no—
169#41×C47C2×D412yes—
170#41×C47C2×D412yes—
171C2×Q8×C47—22no—
172C2×Q8×C47—21no—
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—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47—21no—
182C2×Q8×C47—21no—
183C2×Q8×C47—21no—
184C2×Q8×C47—42no—
185C2×Q8×C47—42no—
186C2×Q8×C47—42no—
187C2×Q8×C47—42no—
188C2×Q8×C47C2×D411yescharacteristic
189C2×Q8×C47C2×D411yescharacteristic
190C2×Q8×C47#4111yescharacteristic
191C2×D4×C47—21no—
192C2×D4×C47—22no—
193C2×D4×C47—21no—
194C2×D4×C47—21no—
195C2×D4×C47C2×D411yescharacteristic
196C2×D4×C47C2×D411yescharacteristic
197C2×D4×C47#4111yescharacteristic
198C22×C4×C47—21no—
199C22×C4×C47—22no—
200C22×C4×C47—22no—
201C22×C4×C47—21no—
202C22×C4×C47—21no—
203C22×C4×C47—21no—
204C22×C4×C47—21no—
205C22×C4×C47#4112yes—
206C22×C4×C47C2411yescharacteristic
207Q16×C47—22no—
208Q16×C47—42no—
209Q16×C47—42no—
210Q16×C47—41no—
211Q16×C47—42no—
212SD16×C47—22no—
213SD16×C47—22no—
214SD16×C47—42no—
215SD16×C47—42no—
216SD16×C47—41no—
217SD16×C47—41no—
218SD16×C47—42no—
219D8×C47—22no—
220D8×C47—41no—
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—
253C4⋊C4×C47—42no—
254C4⋊C4×C47—42no—
255C22⋊C4×C47—21no—
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×C47C2×#4111yescharacteristic
265Q8×C47—21no—
266Q8×C47—21no—
267Q8×C47—21no—
268Q8×C47—21no—
269Q8×C47—21no—
270Q8×C47—44no—
271Q8×C47—41no—
272Q8×C47—41no—
273Q8×C47—41no—
274Q8×C47—41no—
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#12112yes—
293C2×C4×C47—21no—
294C2×C4×C47—21no—
295C2×C4×C47—22no—
296C2×C4×C47—22no—
297C2×C4×C47—21no—
298C2×C4×C47—22no—
299C2×C4×C47—21no—
300C2×C4×C47—22no—
301C2×C4×C47—21no—
302C2×C4×C47—22no—
303C2×C4×C47—42no—
304C2×C4×C47—44no—
305C2×C4×C47—44no—
306C2×C4×C47—41no—
307C2×C4×C47—41no—
308C2×C4×C47—41no—
309C2×C4×C47—41no—
310C2×C4×C47—41no—
311C2×C4×C47—41no—
312C2×C4×C47—41no—
313C2×C4×C47—41no—
314C2×C4×C47C22×D411yescharacteristic
315C2×C4×C47C22×D411yescharacteristic
316C2×C4×C47C22×D411yescharacteristic
317C2×C4×C47C2×#4111yescharacteristic
318C2×C4×C47H(5,𝔽2)11yescharacteristic
319C2×C4×C47H(5,𝔽2)11yescharacteristic
320C8×C47—22no—
321C8×C47—22no—
322C8×C47—22no—
323C8×C47—22no—
324C8×C47—41no—
325C8×C47—41no—
326C8×C47—41no—
327C8×C47—41no—
328#25198C4711yesmaximal, characteristic, direct product factor, Sylow
329C22×C47—22no—
330C22×C47—41no—
331C22×C47—41no—
332C22×C47—41no—
333C22×C47—81no—
334C22×C47—81no—
335C22×C47—81no—
336C22×C47#52511yescharacteristic
337C22×C47#54611yescharacteristic
338C22×C47#54611yescharacteristic
339C4×C47—22no—
340C4×C47—22no—
341C4×C47—41no—
342C4×C47—42no—
343C4×C47—41no—
344C4×C47—41no—
345C4×C47—81no—
346C4×C47—81no—
347C4×C47C2×#12111yescharacteristic
348C4×C47#53811yescharacteristic
349C4×C47D4211yescharacteristic
350C4×C47D4211yescharacteristic
351#3069C2×C4711yescharacteristic, complemented
352#3069C2×C4711yescharacteristic, complemented
353#3020C2×C4711yescharacteristic
354C2×#456C2×C4711yescharacteristic, complemented
355#2956C2×C4711yescharacteristic, complemented
356#2889C2×C4711yescharacteristic, complemented
357#2070C2×C4711yescharacteristic, complemented
358#2050C2×C4711yescharacteristic, complemented
359#2049C2×C4711yescharacteristic, complemented
360#2005C2×C4711yescharacteristic, complemented
361#1966C2×C4711yescharacteristic, complemented
362#1932C2×C4711yescharacteristic, complemented
363#1915C2×C4711yescharacteristic, complemented
364#1902C2×C4711yescharacteristic, complemented
365#1861C2×C4711yescharacteristic, complemented
366C2×C47—21no—
367C2×C47—21no—
368C2×C47—21no—
369C2×C47—42no—
370C2×C47—81no—
371C2×C47—81no—
372C2×C47#242411yescharacteristic
373C2×2−1+4C22×C4711yescharacteristic
374#575C22×C4711yescharacteristic
375#575C22×C4711yescharacteristic
376C2×#137C22×C4711yescharacteristic
377C2×#137C22×C4711yescharacteristic
378C2×#137C22×C4711yescharacteristic
379#568C22×C4711yescharacteristic
380#568C22×C4711yescharacteristic
381#568C22×C4711yescharacteristic
382#536C22×C4711yescharacteristic
383C2×C4⋊Q8C22×C4711yescharacteristic
384#473—22no—
385#473—22no—
386#471—22no—
387#471—22no—
388#456—22no—
389#456—22no—
390#456—22no—
391#454—22no—
392#444—22no—
393#443—22no—
394#430C22×C4711yescharacteristic
395#430C22×C4711yescharacteristic
396#430C22×C4711yescharacteristic
397#423C22×C4711yescharacteristic
398#421C22×C4711yescharacteristic
399#421C22×C4711yescharacteristic
400C2×#104C22×C4711yescharacteristic
401C2×#104C22×C4711yescharacteristic
402C2×#104C22×C4711yescharacteristic
403#419C22×C4711yescharacteristic
404#413—22no—
405#413C22×C4711yescharacteristic
406#413C22×C4711yescharacteristic
407#413C22×C4711yescharacteristic
408C2×#101—22no—
409C2×#101C22×C4711yescharacteristic
410C2×#101C22×C4711yescharacteristic
411C2×#101C22×C4711yescharacteristic
412C2×#101C22×C4711yescharacteristic
413C2×#101C22×C4711yescharacteristic
414C2×#101C22×C4711yescharacteristic
415C4×M16C22×C4711yescharacteristic
416#344C22×C4711yescharacteristic
417#344C22×C4711yescharacteristic
418#339C22×C4711yescharacteristic
419#338C22×C4711yescharacteristic
420C47#2519811yescharacteristic, direct product factor, Sylow
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C4711yescharacteristic
429C2×#41C23×C4711yescharacteristic
430C2×#41C23×C4711yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C4711yescharacteristic
434C22×Q8C23×C4711yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C4712yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C4712yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C4711yescharacteristic
467C2×M16C23×C4711yescharacteristic
468C2×M16C23×C4711yescharacteristic
469C2×M16C23×C4711yescharacteristic
470C2×M16C23×C4711yescharacteristic
471C2×M16C23×C4711yescharacteristic
472C2×M16C23×C4711yescharacteristic
473C2×M16C23×C4711yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C4711yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C4711yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C4712yes—
495#104D4×C4712yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C4712yes—
506#100—21no—
507#100—21no—
508#100D4×C4712yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C4712yes—
528#41C2×D4×C4712yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
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×D4C2×D4×C4711yescharacteristic
554C2×D4C2×D4×C4711yescharacteristic
555C2×D4#41×C4711yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C4712yes—
564C22×C4C24×C4711yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C4712yes—
595M16C2×D4×C4712yes—
596M16C2×D4×C4712yes—
597M16C2×D4×C4712yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C4711yescharacteristic
618C42C2×D4×C4711yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C4711yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C4712yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C4712yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C4711yescharacteristic
673C2×C4C22×D4×C4711yescharacteristic
674C2×C4C22×D4×C4711yescharacteristic
675C2×C4C2×#41×C4711yescharacteristic
676C2×C4H(5,𝔽2)×C4711yescharacteristic
677C2×C4H(5,𝔽2)×C4711yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C47×#52511yescharacteristic
694C22C47×#54611yescharacteristic
695C22C47×#54611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C4711yescharacteristic
705C4C47×#53811yescharacteristic
706C4D42×C4711yescharacteristic
707C4D42×C4711yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C47×#242411yescharacteristic
subgroupG/H
center, socleC2×C47#2424
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC47×#3020C2
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×#3069C2semidirect
2. C47×#3069C2semidirect
4. C2×C47×#456C2semidirect
5. C47×#2956C2semidirect
6. C47×#2889C2semidirect
7. C47×#2070C2semidirect
8. C47×#2050C2semidirect
9. C47×#2049C2semidirect
10. C47×#2005C2semidirect
11. C47×#1966C2semidirect
12. C47×#1932C2semidirect
13. C47×#1915C2semidirect
14. C47×#1902C2semidirect
15. C47×#1861C2semidirect
328. #25198C47direct (N × H)
351. #3069C2×C47semidirect
352. #3069C2×C47semidirect
354. C2×#456C2×C47semidirect
355. #2956C2×C47semidirect
356. #2889C2×C47semidirect
357. #2070C2×C47semidirect
358. #2050C2×C47semidirect
359. #2049C2×C47semidirect
360. #2005C2×C47semidirect
361. #1966C2×C47semidirect
362. #1932C2×C47semidirect
363. #1915C2×C47semidirect
364. #1902C2×C47semidirect
365. #1861C2×C47semidirect
420. C47#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#30692
C47×#30202
C2×C47×#4562
C47×#29562
C47×#28892
C47×#20702
C47×#20502
C47×#20492
C47×#20052
C47×#19662
C47×#19322
C47×#19152
C47×#19022
C47×#18612
#2519847