Finite Group Databasebeta

← #26234728

Subgroups — #26234728

Order 12032.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689242C211yesmaximal, characteristic
2C2×#15689237C211yesmaximal, characteristic
3#20252186C211yesmaximal, characteristic
4#20251957C211yesmaximal, characteristic, complemented
5#20251956C211yesmaximal, characteristic, complemented
6#20244140C211yesmaximal, characteristic, complemented
7#20244135C211yesmaximal, characteristic, complemented
8#20243664C211yesmaximal, characteristic, complemented
9#20243664C211yesmaximal, characteristic, complemented
10#20243661C211yesmaximal, characteristic, complemented
11#20243661C211yesmaximal, characteristic, complemented
12#20243562C211yesmaximal, characteristic, complemented
13#20243409C211yesmaximal, characteristic, complemented
14#20243263C211yesmaximal, characteristic, complemented
15C47×#1806C211yesmaximal, characteristic, complemented
16C2×#13094044C2211yescharacteristic
17C2×#13094032C2211yescharacteristic
18C2×#13094032C2211yescharacteristic
19C2×#13094031C2211yescharacteristic
20C2×#13094031C2211yescharacteristic
21C4×#10625350C2211yescharacteristic
22#15689242—24no—
23#15689237—24no—
24#15689233C411yescharacteristic, complemented
25#15689233C411yescharacteristic, complemented
26#15689228C411yescharacteristic, complemented
27#15689228C411yescharacteristic, complemented
28#15689223C411yescharacteristic, complemented
29#15689223C411yescharacteristic, complemented
30#15689221C411yescharacteristic, complemented
31#15689221C411yescharacteristic, complemented
32C2×#13093959C2211yescharacteristic
33C2×#13093959C2211yescharacteristic
34C2×#13093959C2211yescharacteristic
35C2×#13093959C2211yescharacteristic
36#15689159C2211yescharacteristic
37#15689151C2211yescharacteristic
38#15689151C2211yescharacteristic
39#15689150—21no—
40#15689150—21no—
41#15689150C2211yescharacteristic
42#15689150C2211yescharacteristic
43#15689148—21no—
44#15689148—21no—
45#15689147—21no—
46#15689147C2211yescharacteristic
47#15689145—21no—
48C2×C4⋊(C47⋊C8)—21no—
49C2×C4⋊(C47⋊C8)C2211yescharacteristic
50C4⋊C8×D47—21no—
51C2×#13093952C2211yescharacteristic
52C2×#13093952C2211yescharacteristic
53#15689119C2211yescharacteristic
54#15689117C2211yescharacteristic
55C2×#13093935C2211yescharacteristic
56C2×#13093935C2211yescharacteristic
57C2×C4×C47⋊C8C2211yescharacteristic
58#15688883C2211yescharacteristic
59#15688883C2211yescharacteristic
60#15688878C2211yescharacteristic
61#15688878C2211yescharacteristic
62C4×#41×C47C2211yescharacteristic
63C47×#423C2211yescharacteristic
64C2×#104×C47C2211yescharacteristic
65C2×#104×C47C2211yescharacteristic
66C4×C4⋊C4×C47C2211yescharacteristic
67C47×#339C2211yescharacteristic
68C47×#339C2211yescharacteristic
69C2×#10625350C2311yescharacteristic
70#13094044D414yes—
71#13094044Q814yes—
72C2×#10625337C2×C411yescharacteristic
73C2×#10625335C2×C411yescharacteristic
74C2×#10625336C2×C411yescharacteristic
75C2×#10625334C2×C411yescharacteristic
76#13094032—22no—
77#13094032—22no—
78#13094032—41no—
79#13094032—41no—
80#13094031—22no—
81#13094031—22no—
82#13094031—41no—
83#13094031—41no—
84C2×#10625329—21no—
85C2×#10625329—21no—
86C2×#10625329C2311yescharacteristic
87C2×#10625329C2311yescharacteristic
88C2×#10625324—21no—
89C2×#10625324—21no—
90C22×C47⋊C8—21no—
91C22×C47⋊C8—21no—
92C22×C47⋊C8C2311yescharacteristic
93C22×C47⋊C8C2311yescharacteristic
94C22×C47⋊C8C2311yescharacteristic
95C22×C47⋊C8C2311yescharacteristic
96C2×C8×D47—21no—
97C2×C8×D47—21no—
98C4×Dic94C2×C411yescharacteristic
99C4×Dic94C2×C411yescharacteristic
100C4×D188C2×C411yescharacteristic
101C4×D188C2×C411yescharacteristic
102C4×C22⋊D47—21no—
103C4×C22⋊D47—21no—
104#13093983C2311yescharacteristic
105#13093981—21no—
106C42×D47—21no—
107#13093959—22no—
108#13093959—22no—
109#13093959—41no—
110#13093959—41no—
111#13093957C2×C411yescharacteristic
112#13093957C2×C411yescharacteristic
113#13093955C2×C411yescharacteristic
114#13093955C2×C411yescharacteristic
115C4⋊(C47⋊C8)—21no—
116C4⋊(C47⋊C8)—21no—
117C4⋊(C47⋊C8)—21no—
118C4⋊(C47⋊C8)—21no—
119C4⋊(C47⋊C8)—21no—
120C4⋊(C47⋊C8)—21no—
121C4⋊(C47⋊C8)D411yescharacteristic
122C4⋊(C47⋊C8)D411yescharacteristic
123C4⋊(C47⋊C8)D411yescharacteristic
124C4⋊(C47⋊C8)D411yescharacteristic
125Dic47⋊C8—21no—
126Dic47⋊C8—21no—
127Dic47⋊C8—21no—
128Dic47⋊C8—21no—
129#13093952—22no—
130#13093952—22no—
131#13093948C2×C411yescharacteristic
132#13093948C2×C411yescharacteristic
133#13093947C2×C411yescharacteristic
134#13093947C2×C411yescharacteristic
135#13093945C2×C411yescharacteristic
136#13093945C2×C411yescharacteristic
137#13093944C2×C411yescharacteristic
138#13093944C2×C411yescharacteristic
139#13093935—22no—
140#13093935C2×C411yescharacteristic
141#13093935C2×C411yescharacteristic
142#13093935C2×C411yescharacteristic
143#13093935C2×C411yescharacteristic
144C4×C47⋊C8—22no—
145C2×#41×C47C2311yescharacteristic
146C2×M16×C47C2311yescharacteristic
147C2×M16×C47C2311yescharacteristic
148C4×Q8×C47C2×C411yescharacteristic
149C4×Q8×C47C2×C411yescharacteristic
150C4×D4×C47—21no—
151C4×D4×C47—21no—
152C4×D4×C47C2×C411yescharacteristic
153C4×D4×C47C2×C411yescharacteristic
154#117×C47—21no—
155#117×C47C2311yescharacteristic
156C2×C4⋊C4×C47—21no—
157C2×C42×C47—21no—
158C2×C42×C47C2311yescharacteristic
159C2×C42×C47C2311yescharacteristic
160C2×C42×C47C2311yescharacteristic
161C4⋊C8×C47—21no—
162C4⋊C8×C47—21no—
163#104×C47—22no—
164#104×C47—22no—
165#95×C47—21no—
166#41×C47—21no—
167#41×C47—21no—
168#41×C47C2×D412yes—
169#41×C47C2×Q812yes—
170C2×Q8×C47C22×C411yescharacteristic
171C2×D4×C47—21no—
172C2×D4×C47C22×C411yescharacteristic
173C22×C4×C47—21no—
174C22×C4×C47—21no—
175C22×C4×C47—21no—
176C22×C4×C47—21no—
177C22×C4×C47—21no—
178C22×C4×C47#4111yescharacteristic
179C22×C4×C47#4111yescharacteristic
180C22×C4×C47C2411yescharacteristic
181C2×C22⋊D47—21no—
182#10625350—21no—
183#10625350—21no—
184#10625350C2×D412yes—
185#10625350C2×Q812yes—
186C2×D188C22×C411yescharacteristic
187C2×C4×D47—21no—
188C2×C4×D47—21no—
189C2×C4×D47—21no—
190C2×Dic94C22×C411yescharacteristic
191M16×C47—21no—
192M16×C47—21no—
193M16×C47—21no—
194M16×C47—21no—
195C2×C8×C47—21no—
196C2×C8×C47—21no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47—42no—
200C4⋊C4×C47C22×C411yescharacteristic
201C4⋊C4×C47C22×C411yescharacteristic
202C22⋊C4×C47—21no—
203C22⋊C4×C47—21no—
204C22⋊C4×C47—21no—
205C42×C47—21no—
206C42×C47—21no—
207C42×C47—21no—
208C42×C47—21no—
209C42×C47—21no—
210C42×C47—21no—
211C42×C47—21no—
212C42×C47C22×C411yescharacteristic
213C42×C47C22×C411yescharacteristic
214C42×C47C2×D411yescharacteristic
215C42×C47C2×D411yescharacteristic
216C22⋊Dic47—21no—
217#10625337C4⋊C414yescomplemented
218#10625336C4⋊C414yescomplemented
219#10625335C4⋊C414yescomplemented
220#10625334C4⋊C414yescomplemented
221(C2×D47)⋊C4—21no—
222(C2×D47)⋊C4—21no—
223C4⋊Dic47C22×C411yescharacteristic
224C4⋊Dic47C22×C411yescharacteristic
225Dic47⋊C4—21no—
226Dic47⋊C4—21no—
227C4×Dic47—21no—
228C4×Dic47—21no—
229C4×Dic47—21no—
230#10625329—21no—
231#10625329—21no—
232#10625329—21no—
233#10625329—21no—
234#10625329—42no—
235#10625329—42no—
236C2×C47⋊C8—21no—
237C2×C47⋊C8—21no—
238C2×C47⋊C8—21no—
239C2×C47⋊C8—21no—
240C2×C47⋊C8—21no—
241C2×C47⋊C8—21no—
242C2×C47⋊C8—21no—
243C2×C47⋊C8—21no—
244C2×C47⋊C8—42no—
245C2×C47⋊C8—42no—
246C2×C47⋊C8C22×C411yescharacteristic
247C2×C47⋊C8C22×C411yescharacteristic
248C2×C47⋊C8C22×C411yescharacteristic
249C2×C47⋊C8C22×C411yescharacteristic
250C2×C47⋊C8C2×D411yescharacteristic
251C2×C47⋊C8C2×D411yescharacteristic
252C2×C47⋊C8C2×D411yescharacteristic
253C2×C47⋊C8C2×D411yescharacteristic
254C2×C47⋊C8C2×D412yes—
255C2×C47⋊C8C2×Q812yes—
256#10625324—42no—
257#10625324—42no—
258C8×D47—42no—
259C8×D47—42no—
260C23×C47—21no—
261C23×C47C2×#4111yescharacteristic
262C22×D47—21no—
263Q8×C47—21no—
264Q8×C47C2×C4⋊C412yes—
265D4×C47—22no—
266D4×C47—22no—
267D4×C47—21no—
268D4×C47C2×C4⋊C412yes—
269C2×C4×C47—21no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—21no—
274C2×C4×C47—21no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—42no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—41no—
281C2×C4×C47—41no—
282C2×C4×C47—41no—
283C2×C4×C47—81no—
284C2×C4×C47C4×D411yescharacteristic
285C2×C4×C47C4×D411yescharacteristic
286C2×C4×C47C4×D411yescharacteristic
287C2×C4×C47C4×D411yescharacteristic
288C2×C4×C47C23×C411yescharacteristic
289C2×C4×C47C22×D411yescharacteristic
290C2×C4×C47C22×D411yescharacteristic
291C2×C4×C47C22×Q811yescharacteristic
292C2×C4×C47H(5,𝔽2)11yescharacteristic
293C2×C4×C472−1+411yescharacteristic
294C22⋊D47—22no—
295C22⋊D47—22no—
296C2×Dic47—21no—
297C2×Dic47—21no—
298C2×Dic47—21no—
299D188—21no—
300D188C2×C4⋊C412yes—
301C4×D47—22no—
302C4×D47—22no—
303C4×D47—42no—
304C4×D47—81no—
305Dic94—21no—
306Dic94C2×C4⋊C412yes—
307C8×C47—41no—
308C8×C47—41no—
309C47⋊C8—21no—
310C47⋊C8—21no—
311C47⋊C8—21no—
312C47⋊C8—21no—
313C47⋊C8—21no—
314C47⋊C8—21no—
315C47⋊C8—41no—
316C47⋊C8—41no—
317C47⋊C8C2×C4⋊C412yes—
318C47⋊C8C2×C4⋊C412yes—
319#22687—471nomaximal, Sylow
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—22no—
323C22×C47—41no—
324C22×C47—41no—
325C22×C47C2×C4×D411yescharacteristic
326C22×C47#54711yescharacteristic
327C22×C47#55411yescharacteristic
328C2×D47—22no—
329C2×D47—41no—
330C2×D47—41no—
331C4×C47—22no—
332C4×C47—21no—
333C4×C47—21no—
334C4×C47—21no—
335C4×C47—21no—
336C4×C47—42no—
337C4×C47—41no—
338C4×C47—41no—
339C4×C47—81no—
340C4×C47C22×C4⋊C411yescharacteristic
341C4×C47#52011yescharacteristic
342C4×C47D4211yescharacteristic
343C4×C47D4×Q811yescharacteristic
344Dic47—22no—
345Dic47—41no—
346Dic47—41no—
347C2×#444—471no—
348C2×#443—471no—
349#2943—471no—
350#2906—471no—
351#2906—471no—
352#1946—471no—
353#1945—471no—
354#1866—471no—
355#1866—471no—
356#1866—471no—
357#1866—471no—
358#1849—471no—
359#1806—471no—
360#1806D4711yescharacteristic, complemented
361#1771—471no—
362C2×C47—21no—
363C2×C47—21no—
364C2×C47—42no—
365C2×C47D4×C4⋊C411yescharacteristic
366C2×C47#295511yescharacteristic
367C2×C47#295611yescharacteristic
368D47—42no—
369C2×#135—471no—
370C2×#131—471no—
371C2×#131—471no—
372C2×#131—471no—
373C2×#131—471no—
374C4×#41—471no—
375C4×#41C2×D4711yescharacteristic
376#444—944no—
377#443—944no—
378#442—471no—
379#442—471no—
380#441—471no—
381#441—471no—
382#440—471no—
383#440—471no—
384#440—471no—
385#440—471no—
386C2×#108—471no—
387C2×#108—471no—
388C2×#108—471no—
389C2×#108—471no—
390#427—471no—
391#424—471no—
392#424—471no—
393#424—471no—
394#424—471no—
395#424—941no—
396#424—941no—
397#424—941no—
398#424—941no—
399#423—471no—
400#423—941no—
401#423—941no—
402#423C2×D4711yescharacteristic
403C2×C4⋊C8—471no—
404C2×C4⋊C8—941no—
405C2×C4⋊C8—941no—
406C2×#104—471no—
407C2×#104—471no—
408C2×#104C2×D4711yescharacteristic
409C2×#104C2×D4711yescharacteristic
410#416—471no—
411#416—471no—
412C2×#97—471no—
413C2×#97—471no—
414C2×C4×C8—471no—
415C4×C4⋊C4C2×D4711yescharacteristic
416#339—471no—
417#339—471no—
418#339C2×D4711yescharacteristic
419#339C2×D4711yescharacteristic
420#336—471no—
421#336—471no—
422C47#2268711yescharacteristic, complemented, Sylow
423C2×#41—471no—
424C2×#41C22×D4711yescharacteristic
425#135—474no—
426#135—474no—
427C2×Q16—471no—
428C2×SD16—471no—
429C2×SD16—471no—
430C2×D8—471no—
431#131—942no—
432#131—942no—
433#131—942no—
434#131—942no—
435#131—1881no—
436#131—1881no—
437#131—1881no—
438#131—1881no—
439C2×M16—471no—
440C2×M16—471no—
441C2×M16—941no—
442C2×M16—941no—
443C2×M16—941no—
444C2×M16—941no—
445C2×M16C22×D4711yescharacteristic
446C2×M16C22×D4711yescharacteristic
447C22×C8—471no—
448C22×C8—471no—
449C22×C8—471no—
450C22×C8—471no—
451C22×C8—941no—
452C22×C8—941no—
453C22×C8—941no—
454C22×C8—941no—
455C4×Q8—471no—
456C4×Q8—471no—
457C4×Q8C4×D4711yescharacteristic
458C4×Q8C4×D4711yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—471no—
462C4×D4—471no—
463C4×D4—941no—
464C4×D4—941no—
465C4×D4C4×D4711yescharacteristic
466C4×D4C4×D4711yescharacteristic
467#117—21no—
468#117—471no—
469#117—941no—
470#117C22×D4711yescharacteristic
471C2×C4⋊C4—21no—
472C2×C42—21no—
473C2×C42—941no—
474C2×C42C22×D4711yescharacteristic
475C2×C42C22×D4711yescharacteristic
476C2×C42C22×D4711yescharacteristic
477#108—942no—
478#108—942no—
479#108—1881no—
480#108—1881no—
481#107—471no—
482#107—471no—
483#106—471no—
484#106—471no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—471no—
488C4⋊C8—471no—
489C4⋊C8—471no—
490C4⋊C8—471no—
491C4⋊C8—941no—
492C4⋊C8—941no—
493C4⋊C8—941no—
494C4⋊C8—941no—
495C4⋊C8—941no—
496C4⋊C8—941no—
497C4⋊C8—941no—
498C4⋊C8—941no—
499C4⋊C8—941no—
500C4⋊C8—941no—
501#104—22no—
502#104—22no—
503#104—942no—
504#104—942no—
505#103—471no—
506#103—471no—
507#103—471no—
508#103—471no—
509#102—471no—
510#102—471no—
511#102—471no—
512#102—471no—
513#97—471no—
514#97—471no—
515#97—471no—
516#97—471no—
517#97—942no—
518C4×C8—942no—
519#95—21no—
520#41—21no—
521#41—21no—
522#41—472no—
523#41—472no—
524#41—941no—
525#41—941no—
526#41D4×D4712yes—
527#41Q8×D4712yes—
528C2×Q8—471no—
529C2×Q8C2×C4×D4711yescharacteristic
530C2×D4—21no—
531C2×D4—471no—
532C2×D4—941no—
533C2×D4C2×C4×D4711yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—941no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4#1062535211yescharacteristic
543C22×C4#1062535211yescharacteristic
544C22×C4C23×D4711yescharacteristic
545Q16—474no—
546SD16—474no—
547SD16—474no—
548D8—474no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—941no—
554M16—941no—
555M16—941no—
556M16—941no—
557M16—1882no—
558M16—1882no—
559M16—1882no—
560M16—1882no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—471no—
564C2×C8—471no—
565C2×C8—472no—
566C2×C8—472no—
567C2×C8—471no—
568C2×C8—471no—
569C2×C8—471no—
570C2×C8—471no—
571C2×C8—471no—
572C2×C8—471no—
573C2×C8—941no—
574C2×C8—941no—
575C2×C8—941no—
576C2×C8—941no—
577C2×C8—941no—
578C2×C8—941no—
579C2×C8—941no—
580C2×C8—941no—
581C2×C8—1882no—
582C2×C8—1882no—
583C2×C8—1882no—
584C2×C8—1882no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—42no—
588C4⋊C4—471no—
589C4⋊C4—471no—
590C4⋊C4—941no—
591C4⋊C4—941no—
592C4⋊C4C2×C4×D4711yescharacteristic
593C4⋊C4C2×C4×D4711yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—941no—
598C22⋊C4—941no—
599C22⋊C4—941no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—941no—
608C42—941no—
609C42—941no—
610C42C2×C4×D4711yescharacteristic
611C42C2×C4×D4711yescharacteristic
612C42D4×D4711yescharacteristic
613C42D4×D4711yescharacteristic
614C23—21no—
615C23—941no—
616C23C2×#1062535211yescharacteristic
617Q8—21no—
618Q8—472no—
619Q8—941no—
620Q8C4⋊C4×D4712yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—472no—
625D4—942no—
626D4—942no—
627D4—941no—
628D4C4⋊C4×D4712yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—81no—
644C2×C4—941no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—941no—
648C2×C4—941no—
649C2×C4—3761no—
650C2×C4—1882no—
651C2×C4(C22⋊D47)⋊C411yescharacteristic
652C2×C4(C22⋊D47)⋊C411yescharacteristic
653C2×C4(C22⋊D47)⋊C411yescharacteristic
654C2×C4(C22⋊D47)⋊C411yescharacteristic
655C2×C4C22×C4×D4711yescharacteristic
656C2×C4C2×D4×D4711yescharacteristic
657C2×C4C2×D4×D4711yescharacteristic
658C2×C4C2×Q8×D4711yescharacteristic
659C2×C4#1309407011yescharacteristic
660C2×C4#1309407111yescharacteristic
661C8—41no—
662C8—41no—
663C8—472no—
664C8—472no—
665C8—941no—
666C8—941no—
667C8—941no—
668C8—941no—
669C8—941no—
670C8—941no—
671C8—1881no—
672C8—1881no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—942no—
679C22—1881no—
680C22—1881no—
681C22C2×(C22⋊D47)⋊C411yescharacteristic
682C22#1568977311yescharacteristic
683C22#1568983111yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—942no—
694C4—1881no—
695C4—1881no—
696C4C2×C4⋊C4×D4711yescharacteristic
697C4#1568960311yescharacteristic
698C4#1568975711yescharacteristic
699C4#1568978611yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—1882no—
704C2#2024628411yescharacteristic
705C2#2025228711yescharacteristic
706C2#2025229411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1806C2
socleC22×C47C2×C4×D4
prime radicalC2×#13094044C22
cosocleC22×C4×C47C24
hypercenter#1806D47
hypocenterC47#22687
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
4. #20251957C2semidirect
5. #20251956C2semidirect
6. #20244140C2semidirect
7. #20244135C2semidirect
8. #20243664C2semidirect
9. #20243664C2semidirect
10. #20243661C2semidirect
11. #20243661C2semidirect
12. #20243562C2semidirect
13. #20243409C2semidirect
14. #20243263C2semidirect
15. C47×#1806C2semidirect
24. #15689233C4semidirect
25. #15689233C4semidirect
26. #15689228C4semidirect
27. #15689228C4semidirect
28. #15689223C4semidirect
29. #15689223C4semidirect
30. #15689221C4semidirect
31. #15689221C4semidirect
217. #10625337C4⋊C4semidirect
218. #10625336C4⋊C4semidirect
219. #10625335C4⋊C4semidirect
220. #10625334C4⋊C4semidirect
360. #1806D47semidirect
422. C47#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#156892422
C2×#156892372
#202521862
#202519572
#202519562
#202441402
#202441352
#202436642
#202436612
#202435622
#202434092
#202432632
C47×#18062
#2268747