Finite Group Databasebeta

← #26234613

Subgroups — #26234613

Order 12032.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689235C211yesmaximal, characteristic
2C2×D8×Dic47C211yesmaximal, characteristic
3#20246298C211yesmaximal, characteristic, complemented
4D4×C4⋊Dic47C211yesmaximal, characteristic, complemented
5#20244132C211yesmaximal, characteristic, complemented
6#20244117C211yesmaximal, characteristic, complemented
7#20243651C211yesmaximal, characteristic, complemented
8#20243651C211yesmaximal, characteristic, complemented
9#20243637C211yesmaximal, characteristic, complemented
10#20243637C211yesmaximal, characteristic, complemented
11#20243556C211yesmaximal, characteristic, complemented
12#20243398C211yesmaximal, characteristic, complemented
13#20243388C211yesmaximal, characteristic, complemented
14#20243260C211yesmaximal, characteristic, complemented
15C2×C47×#442C211yesmaximal, characteristic
16C2×D4×Dic47C2211yescharacteristic
17C2×D4×Dic47C2211yescharacteristic
18C2×D4×Dic47C2211yescharacteristic
19C2×D4×Dic47C2211yescharacteristic
20C22×C4⋊Dic47—21no—
21#15689235—24no—
22D8×Dic47—24no—
23C2×#13093958C2211yescharacteristic
24C2×#13093958C2211yescharacteristic
25C2×#13093956C2211yescharacteristic
26C2×#13093956C2211yescharacteristic
27C2×C4⋊(C47⋊C8)C2211yescharacteristic
28C2×#13093945C2211yescharacteristic
29C2×#13093945C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C2×#13093934C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34#15689022C2211yescharacteristic
35#15689022C2211yescharacteristic
36#15689022C2211yescharacteristic
37#15689022C2211yescharacteristic
38#15688998—21no—
39#15688998—21no—
40#15688998—21no—
41#15688998—21no—
42#15688993C2211yescharacteristic
43#15688989C2211yescharacteristic
44#15688983—21no—
45#15688983—21no—
46C4×C4⋊Dic47C2211yescharacteristic
47C2×C47⋊#95—21no—
48#15688885C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688877C2211yescharacteristic
53#15688877C2211yescharacteristic
54C22×D8×C47C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic
56C2×C4×D4×C47C2211yescharacteristic
57C47×#442C418yescomplemented
58C2×#106×C47C2211yescharacteristic
59C2×#102×C47C2211yescharacteristic
60C2×#102×C47C2211yescharacteristic
61C2×#97×C47C2211yescharacteristic
62C23×Dic47—21no—
63C23×Dic47—21no—
64C23×Dic47—21no—
65C23×Dic47—21no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68D4×Dic47—22no—
69D4×Dic47—22no—
70D4×Dic47—22no—
71D4×Dic47—22no—
72D4×Dic47—41no—
73D4×Dic47—41no—
74D4×Dic47—41no—
75D4×Dic47—41no—
76C2×C4⋊Dic47—21no—
77C2×C4⋊Dic47—21no—
78C2×C4⋊Dic47—21no—
79C2×C4⋊Dic47—21no—
80C2×C4⋊Dic47—21no—
81C2×C4⋊Dic47—21no—
82C2×C4⋊Dic47—44no—
83C2×C4⋊Dic47D411yescharacteristic
84C2×C4⋊Dic47D411yescharacteristic
85C2×C4⋊Dic47C2311yescharacteristic
86C2×C4⋊Dic47C2311yescharacteristic
87C2×C4⋊Dic47C2311yescharacteristic
88C2×C4⋊Dic47C2311yescharacteristic
89C2×C22⋊Dic47—21no—
90C2×C22⋊Dic47—21no—
91C2×C22⋊Dic47—21no—
92C2×C22⋊Dic47—21no—
93C2×C4×Dic47C2311yescharacteristic
94C2×C4×Dic47C2311yescharacteristic
95#13093958—22no—
96#13093958—41no—
97#13093956—22no—
98#13093956—41no—
99C4⋊(C47⋊C8)—22no—
100#13093945—22no—
101#13093945—22no—
102#13093945—22no—
103#13093945—22no—
104#13093934—22no—
105C8×Dic47—22no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C47⋊#95—21no—
109C47⋊#95—21no—
110C47⋊#95—21no—
111C47⋊#95—21no—
112C47⋊#95D411yescharacteristic
113C47⋊#95D411yescharacteristic
114C22×D4×C47C2311yescharacteristic
115C22×D4×C47C2311yescharacteristic
116C23×C4×C47—21no—
117C23×C4×C47—21no—
118C2×D8×C47C2×C414yes—
119C2×D8×C47D414yes—
120C2×D8×C47Q814yes—
121C22×C8×C47C2311yescharacteristic
122C22×C8×C47C2311yescharacteristic
123C4×D4×C47—22no—
124C4×D4×C47—22no—
125C4×D4×C47C2×C414yescomplemented
126C4×D4×C47C2×C414yescomplemented
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47C2311yescharacteristic
129C2×C22⋊C4×C47—21no—
130C2×C22⋊C4×C47—21no—
131C2×C42×C47C2311yescharacteristic
132#106×C47C2×C414yescomplemented
133#102×C47C2×C414yescomplemented
134#102×C47C2×C414yescomplemented
135#97×C47C2×C414yescomplemented
136C24×C47—21no—
137C24×C47—21no—
138C2×D4×C47—21no—
139C2×D4×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47C22×C412yes—
145C2×D4×C47C22×C412yes—
146C2×D4×C47C2×D412yes—
147C2×D4×C47C2×D412yes—
148C2×D4×C47C2×Q812yes—
149C2×D4×C47C2×Q812yes—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—24no—
153C22×C4×C47—24no—
154C22×C4×C47—42no—
155C22×C4×C47—42no—
156C22×C4×C47—81no—
157C22×C4×C47—81no—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2411yescharacteristic
161C22×Dic47—21no—
162C22×Dic47—21no—
163C22×Dic47—21no—
164C22×Dic47—21no—
165C22×Dic47—42no—
166C22×Dic47—42no—
167C22×Dic47—42no—
168C22×Dic47—42no—
169C22×Dic47—42no—
170C22×Dic47—42no—
171C22×Dic47—42no—
172C22×Dic47—42no—
173C22×Dic47—81no—
174C22×Dic47—81no—
175C22×Dic47—81no—
176C22×Dic47—81no—
177C22×Dic47C2×D411yescharacteristic
178C22×Dic47C2×D411yescharacteristic
179C22×Dic47C2×D411yescharacteristic
180C22×Dic47C2×D411yescharacteristic
181D8×C47C4⋊C4116yescomplemented
182C2×C8×C47—21no—
183C2×C8×C47—21no—
184C2×C8×C47C22×C412yes—
185C2×C8×C47C22×C412yes—
186C2×C8×C47C2×D412yes—
187C2×C8×C47C2×Q812yes—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47C22×C412yes—
191C4⋊C4×C47C22×C412yes—
192C22⋊C4×C47—24no—
193C22⋊C4×C47—24no—
194C42×C47C22×C412yes—
195C42×C47#4112yes—
196C22⋊Dic47—42no—
197C22⋊Dic47—42no—
198C22⋊Dic47—42no—
199C22⋊Dic47—42no—
200C4⋊Dic47—22no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—41no—
210C4⋊Dic47—42no—
211C4⋊Dic47—42no—
212C4⋊Dic47—42no—
213C4⋊Dic47—81no—
214C4⋊Dic47—81no—
215C4⋊Dic47—81no—
216C4×Dic47—21no—
217C4×Dic47—21no—
218C4×Dic47—21no—
219C4×Dic47—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C23×C47—22no—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—41no—
240C23×C47C22×D411yescharacteristic
241D4×C47—22no—
242D4×C47—22no—
243D4×C47—22no—
244D4×C47—22no—
245D4×C47—22no—
246D4×C47—22no—
247D4×C47C2×C4⋊C414yes—
248D4×C47C2×C4⋊C414yescomplemented
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—48no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—84no—
261C2×C4×C47C4×D412yes—
262C2×C4×C47C4×D412yes—
263C2×C4×C47C23×C411yescharacteristic
264C2×C4×C47C22×D411yescharacteristic
265C2×C4×C47C22×Q811yescharacteristic
266C2×C4×C47C2×#4111yescharacteristic
267C2×C4×C47H(5,𝔽2)11yescharacteristic
268C2×C4×C472−1+411yescharacteristic
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—84no—
293C2×Dic47—84no—
294C2×Dic47—84no—
295C2×Dic47—84no—
296C2×Dic47AGL(1,ℤ/8)12yes—
297C8×C47—22no—
298C8×C47C2×C4⋊C414yescomplemented
299C47⋊C8—41no—
300C47⋊C8—41no—
301#22676—471nomaximal, Sylow
302C22×C47—24no—
303C22×C47—24no—
304C22×C47—42no—
305C22×C47—42no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—42no—
312C22×C47—42no—
313C22×C47—42no—
314C22×C47—42no—
315C22×C47—42no—
316C22×C47C2×C4×D411yescharacteristic
317C22×C47D4211yescharacteristic
318C22×C47D4×Q811yescharacteristic
319C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
320C22×C47#57511yescharacteristic
321C22×C47#57611yescharacteristic
322C22×C47#57711yescharacteristic
323C4×C47—22no—
324C4×C47—22no—
325C4×C47—42no—
326C4×C47—42no—
327C4×C47C22×C4⋊C411yescharacteristic
328C4×C47#52011yescharacteristic
329C4×C47#54711yescharacteristic
330C4×C47#55411yescharacteristic
331Dic47—22no—
332Dic47—41no—
333Dic47—41no—
334Dic47—41no—
335Dic47—81no—
336Dic47—81no—
337Dic47—81no—
338Dic47—81no—
339C2×#442—471no—
340C2×#442D4711yescharacteristic
341C2×C4×D8—471no—
342#2349—471no—
343D4×C4⋊C4—471no—
344#1944—471no—
345#1941—471no—
346#1864—471no—
347#1864—471no—
348#1862—471no—
349#1862—471no—
350#1847—471no—
351#1804—471no—
352#1802—471no—
353#1771—471no—
354C2×C47—44no—
355C2×C47—44no—
356C2×C47D4×C4⋊C411yescharacteristic
357C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
358C2×C47#294611yescharacteristic
359C2×C47#326411yescharacteristic
360C2×C47#326711yescharacteristic
361C2×C47#338411yescharacteristic
362C2×C47#338911yescharacteristic
363C22×D8C2×D4711yescharacteristic
364C2×C4×D4—471no—
365C2×C4×D4—471no—
366C2×C4×D4—471no—
367C2×C4×D4—471no—
368C2×C4×D4C2×D4711yescharacteristic
369C2×C4×D4C2×D4711yescharacteristic
370C22×C4⋊C4—941no—
371#442—944no—
372#442Dic4718yescomplemented
373C4×D8—944no—
374C2×#107—471no—
375C2×#107—471no—
376C2×#106—471no—
377C2×#106—471no—
378C2×#106C2×D4711yescharacteristic
379C2×C4⋊C8—471no—
380C2×#102—471no—
381C2×#102—471no—
382C2×#102—471no—
383C2×#102—471no—
384C2×#102C2×D4711yescharacteristic
385C2×#102C2×D4711yescharacteristic
386C2×#97—471no—
387C2×#97C2×D4711yescharacteristic
388C2×C4×C8—471no—
389#389—471no—
390#389—471no—
391#389—471no—
392#389—471no—
393#385—941no—
394#385—941no—
395#385—941no—
396#385—941no—
397#384—471no—
398#382—471no—
399#380—941no—
400#380—941no—
401C4×C4⋊C4—471no—
402C2×#95—941no—
403#340—471no—
404#340—471no—
405#340—471no—
406#340—471no—
407#336—471no—
408#336—471no—
409C47#2267611yescharacteristic, complemented, Sylow
410C22×D4C22×D4711yescharacteristic
411C22×D4C22×D4711yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—941no—
415C23×C4—941no—
416C23×C4—941no—
417C23×C4—941no—
418C2×D8Dic9414yes—
419C2×D8D18814yes—
420C2×D8C2×Dic4714yes—
421C22×C8—471no—
422C22×C8—471no—
423C22×C8C22×D4711yescharacteristic
424C22×C8C22×D4711yescharacteristic
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—942no—
428C4×D4—942no—
429C4×D4—942no—
430C4×D4—942no—
431C4×D4—1881no—
432C4×D4—1881no—
433C4×D4—1881no—
434C4×D4—1881no—
435C4×D4C2×Dic4714yescomplemented
436C4×D4C2×Dic4714yescomplemented
437C2×C4⋊C4—471no—
438C2×C4⋊C4—471no—
439C2×C4⋊C4—471no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—941no—
444C2×C4⋊C4—941no—
445C2×C4⋊C4—941no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4—941no—
448C2×C4⋊C4—941no—
449C2×C4⋊C4—1884no—
450C2×C4⋊C4C22×D4711yescharacteristic
451C2×C4⋊C4C22×D4711yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—941no—
455C2×C22⋊C4—941no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4—941no—
458C2×C42—471no—
459C2×C42—471no—
460C2×C42C22×D4711yescharacteristic
461#107—942no—
462#107—1881no—
463#106—942no—
464#106—1881no—
465#106C2×Dic4714yescomplemented
466C4⋊C8—942no—
467#102—942no—
468#102—942no—
469#102—942no—
470#102—942no—
471#102C2×Dic4714yescomplemented
472#102C2×Dic4714yescomplemented
473#97—942no—
474#97C2×Dic4714yescomplemented
475C4×C8—942no—
476#95—471no—
477#95—471no—
478#95—941no—
479#95—941no—
480#95—941no—
481#95—941no—
482#95—941no—
483#95—941no—
484C24—21no—
485C24—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4C2×Dic9412yes—
493C2×D4C2×Dic9412yes—
494C2×D4C2×D18812yes—
495C2×D4C2×D18812yes—
496C2×D4C22×Dic4712yes—
497C2×D4C22×Dic4712yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—471no—
507C22×C4—471no—
508C22×C4—471no—
509C22×C4—471no—
510C22×C4—941no—
511C22×C4—941no—
512C22×C4—941no—
513C22×C4—941no—
514C22×C4—3761no—
515C22×C4—3761no—
516C22×C4—3761no—
517C22×C4—3761no—
518C22×C4—1882no—
519C22×C4—1882no—
520C22×C4—1882no—
521C22×C4—1882no—
522C22×C4—1882no—
523C22×C4—1882no—
524C22×C4—1882no—
525C22×C4—1882no—
526C22×C4D4×D4711yescharacteristic
527C22×C4D4×D4711yescharacteristic
528C22×C4C23×D4711yescharacteristic
529D8C4⋊Dic47116yescomplemented
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—941no—
533C2×C8—941no—
534C2×C8—941no—
535C2×C8—941no—
536C2×C8—941no—
537C2×C8—941no—
538C2×C8C2×Dic9412yes—
539C2×C8C2×D18812yes—
540C2×C8C22×Dic4712yes—
541C2×C8C22×Dic4712yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—942no—
545C4⋊C4—941no—
546C4⋊C4—941no—
547C4⋊C4—941no—
548C4⋊C4—941no—
549C4⋊C4—941no—
550C4⋊C4—941no—
551C4⋊C4—941no—
552C4⋊C4—941no—
553C4⋊C4—3761no—
554C4⋊C4—3761no—
555C4⋊C4—3761no—
556C4⋊C4—1881no—
557C4⋊C4—1882no—
558C4⋊C4—1882no—
559C4⋊C4—1882no—
560C4⋊C4C22×Dic4712yes—
561C4⋊C4C22×Dic4712yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—1882no—
565C22⋊C4—1882no—
566C22⋊C4—1882no—
567C22⋊C4—1882no—
568C42—941no—
569C42—941no—
570C42—941no—
571C42—941no—
572C42#1062535212yes—
573C42C22×Dic4712yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C2×D4×D4711yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4C2×C4⋊Dic4714yes—
596D4C2×C4⋊Dic4714yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—48no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—472no—
610C2×C4—941no—
611C2×C4—941no—
612C2×C4—941no—
613C2×C4—941no—
614C2×C4—941no—
615C2×C4—941no—
616C2×C4—941no—
617C2×C4—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4—941no—
621C2×C4—3764no—
622C2×C4—3764no—
623C2×C4—3764no—
624C2×C4—3764no—
625C2×C4—1881no—
626C2×C4—1881no—
627C2×C4—1881no—
628C2×C4—1881no—
629C2×C4—1881no—
630C2×C4—1881no—
631C2×C4—1881no—
632C2×C4—1881no—
633C2×C4—1881no—
634C2×C4—1881no—
635C2×C4—1881no—
636C2×C4—1881no—
637C2×C4D4×Dic4712yes—
638C2×C4D4×Dic4712yes—
639C2×C4C23×Dic4711yescharacteristic
640C2×C4C22×D18811yescharacteristic
641C2×C4C22×Dic9411yescharacteristic
642C2×C4C2×#1062535211yescharacteristic
643C2×C4#1309407011yescharacteristic
644C2×C4#1309407111yescharacteristic
645C8—22no—
646C8—1881no—
647C8—1881no—
648C8C2×C4⋊Dic4714yescomplemented
649C22—24no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22C2×D4×Dic4711yescharacteristic
664C22D4×D18811yescharacteristic
665C22D4×Dic9411yescharacteristic
666C22AGL(1,ℤ/8)×D4711yescharacteristic
667C22#1568991911yescharacteristic
668C22#1568992711yescharacteristic
669C22#1568993311yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—942no—
675C4—3761no—
676C4—3761no—
677C4—3761no—
678C4—3761no—
679C4—1881no—
680C4—1881no—
681C4—1881no—
682C4C22×C4⋊Dic4711yescharacteristic
683C4#1568960611yescharacteristic
684C4#1568977711yescharacteristic
685C4#1568983011yescharacteristic
686C2—44no—
687C2—44no—
688C2D4×C4⋊Dic4711yescharacteristic
689C2AGL(1,ℤ/8)×Dic4711yescharacteristic
690C2#2025222111yescharacteristic
691C2#2025487011yescharacteristic
692C2#2025491511yescharacteristic
693C2#2025628811yescharacteristic
694C2#2025634711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#442C2
socleC23×C47C22×D4
prime radicalC22×D8×C47C22
cosocleC22×C4×C47C24
hypercenterC2×#442D47
hypocenterC47#22676
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
3. #20246298C2semidirect
4. D4×C4⋊Dic47C2semidirect
5. #20244132C2semidirect
6. #20244117C2semidirect
7. #20243651C2semidirect
8. #20243651C2semidirect
9. #20243637C2semidirect
10. #20243637C2semidirect
11. #20243556C2semidirect
12. #20243398C2semidirect
13. #20243388C2semidirect
14. #20243260C2semidirect
57. C47×#442C4semidirect
125. C4×D4×C47C2×C4semidirect
126. C4×D4×C47C2×C4semidirect
132. #106×C47C2×C4semidirect
133. #102×C47C2×C4semidirect
134. #102×C47C2×C4semidirect
135. #97×C47C2×C4semidirect
181. D8×C47C4⋊C4semidirect
248. D4×C47C2×C4⋊C4semidirect
298. C8×C47C2×C4⋊C4semidirect
372. #442Dic47semidirect
409. C47#22676semidirect
435. C4×D4C2×Dic47semidirect
436. C4×D4C2×Dic47semidirect
465. #106C2×Dic47semidirect
471. #102C2×Dic47semidirect
472. #102C2×Dic47semidirect
474. #97C2×Dic47semidirect
529. D8C4⋊Dic47semidirect
596. D4C2×C4⋊Dic47semidirect
648. C8C2×C4⋊Dic47semidirect

Maximal subgroups

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

subgroupindex
C2×#156892352
C2×D8×Dic472
#202462982
D4×C4⋊Dic472
#202441322
#202441172
#202436512
#202436372
#202435562
#202433982
#202433882
#202432602
C2×C47×#4422
#2267647