Finite Group Databasebeta

← #26250059

Subgroups — #26250059

Order 12032.

1046 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689461C211yesmaximal, characteristic, complemented
2C2×#15689163C211yesmaximal, characteristic, complemented
3#20247685C211yesmaximal, characteristic
4#20244723C211yesmaximal, characteristic, complemented
5#20244723C211yesmaximal, characteristic, complemented
6#20244588C211yesmaximal, characteristic, complemented
7#20244581C211yesmaximal, characteristic, complemented
8#20243822C211yesmaximal, characteristic, complemented
9#20243686C211yesmaximal, characteristic
10#20243656C211yesmaximal, characteristic, complemented
11#20243642C211yesmaximal, characteristic, complemented
12#20243587C211yesmaximal, characteristic, complemented
13#20243587C211yesmaximal, characteristic, complemented
14#20243478C211yesmaximal, characteristic, complemented
15C2×C47×#552C211yesmaximal, characteristic
16C22×#10625329C2211yescharacteristic
17C2×#13093983C2211yescharacteristic
18#15689461—24no—
19#15689163—24no—
20C2×#13093957C2211yescharacteristic
21C2×#13093957C2211yescharacteristic
22C2×#13093957C2211yescharacteristic
23C2×#13093955C2211yescharacteristic
24C2×#13093955C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×#13093948C2211yescharacteristic
27C2×#13093948C2211yescharacteristic
28C2×#13093948C2211yescharacteristic
29C2×#13093948C2211yescharacteristic
30C2×C22⋊(C47⋊C8)C2211yescharacteristic
31C2×C22⋊(C47⋊C8)C2211yescharacteristic
32C2×C22⋊(C47⋊C8)C2211yescharacteristic
33#15689051—21no—
34#15689037—21no—
35#15689021C2211yescharacteristic
36#15689021C2211yescharacteristic
37#15689011—21no—
38#15689004—21no—
39#15688983C2211yescharacteristic
40#15688983C2211yescharacteristic
41#15688983C2211yescharacteristic
42#15688885C2211yescharacteristic
43#15688885C2211yescharacteristic
44#15688885C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688878C2211yescharacteristic
49#15688878C2211yescharacteristic
50C47×#552—24no—
51C47×#552—24no—
52C2×#126×C47—21no—
53C2×#125×C47—21no—
54C2×#125×C47C2211yescharacteristic
55C2×#123×C47—21no—
56C2×C22⋊Q8×C47C2211yescharacteristic
57C2×C22⋊Q8×C47C2211yescharacteristic
58C2×C4×Q8×C47C2211yescharacteristic
59C2×C4×D4×C47C2211yescharacteristic
60C2×#117×C47—21no—
61C2×#117×C47C2211yescharacteristic
62C22×C4⋊C4×C47C2211yescharacteristic
63C2×#10625329—22no—
64C2×#10625329—22no—
65C2×#10625329—22no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70#13093983—22no—
71#13093983—22no—
72C2×C4⋊Dic47C2311yescharacteristic
73C2×C4⋊Dic47C2311yescharacteristic
74C2×C4⋊Dic47C2311yescharacteristic
75C2×C4⋊Dic47C2311yescharacteristic
76C2×Dic47⋊C4—21no—
77C2×Dic47⋊C4—21no—
78C2×C22⋊Dic47—21no—
79C2×C22⋊Dic47—21no—
80C2×C22⋊Dic47—21no—
81C2×C22⋊Dic47—21no—
82C2×C4×Dic47—21no—
83#13093957—22no—
84#13093957—22no—
85#13093957—22no—
86#13093955—22no—
87#13093955—22no—
88#13093955—22no—
89#13093948—22no—
90#13093948—22no—
91#13093948—22no—
92#13093948—22no—
93C22⋊(C47⋊C8)—22no—
94C22⋊(C47⋊C8)—22no—
95C22⋊(C47⋊C8)—22no—
96C47⋊#95—21no—
97C47⋊#95—21no—
98C47⋊#95—21no—
99C47⋊#95—21no—
100C47⋊#95—21no—
101C22×Q8×C47C2311yescharacteristic
102C22×D4×C47D411yescharacteristic
103C23×C4×C47—21no—
104C23×C4×C47C2311yescharacteristic
105C23×C4×C47C2311yescharacteristic
106#126×C47—28no—
107#125×C47—28no—
108#125×C47—22no—
109#125×C47—22no—
110#123×C47—28no—
111C22⋊Q8×C47—22no—
112C22⋊Q8×C47—22no—
113C22⋊Q8×C47—22no—
114C22⋊Q8×C47D414yes—
115C4×Q8×C47—22no—
116C4×Q8×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47—22no—
119#117×C47—28no—
120#117×C47—22no—
121#117×C47—22no—
122C2×C4⋊C4×C47—21no—
123C2×C4⋊C4×C47—22no—
124C2×C4⋊C4×C47—21no—
125C2×C4⋊C4×C47—21no—
126C2×C4⋊C4×C47—21no—
127C2×C4⋊C4×C47—21no—
128C2×C4⋊C4×C47—21no—
129C2×C4⋊C4×C47D411yescharacteristic
130C2×C4⋊C4×C47D414yes—
131C2×C4⋊C4×C47C2311yescharacteristic
132C2×C4⋊C4×C47C2311yescharacteristic
133C2×C4⋊C4×C47C2311yescharacteristic
134C2×C22⋊C4×C47—21no—
135C2×C22⋊C4×C47—21no—
136C2×C22⋊C4×C47—21no—
137C2×C22⋊C4×C47D411yescharacteristic
138C2×C22⋊C4×C47D411yescharacteristic
139C2×C42×C47—21no—
140C2×C42×C47—21no—
141C2×C42×C47C2311yescharacteristic
142C24×C47C2×D411yescharacteristic
143C24×C47C2×D411yescharacteristic
144C2×Q8×C47—21no—
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C2×Q8×C47—21no—
148C2×Q8×C47—21no—
149C2×Q8×C47C2×D412yes—
150C2×D4×C47—22no—
151C2×D4×C47—41no—
152C2×D4×C47—41no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—24no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—21no—
163C22×C4×C47—21no—
164C22×C4×C47—21no—
165C22×C4×C47—21no—
166C22×C4×C47—21no—
167C22×C4×C47—21no—
168C22×C4×C47—42no—
169C22×C4×C47—42no—
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2×D412yes—
175C22×C4×C47C2×D412yes—
176C22×C4×C47C2411yescharacteristic
177C22×Dic47—21no—
178C22×Dic47—21no—
179C22×Dic47—21no—
180C22×Dic47—21no—
181C4⋊C4×C47—24no—
182C4⋊C4×C47—24no—
183C4⋊C4×C47—24no—
184C4⋊C4×C47—24no—
185C4⋊C4×C47—24no—
186C4⋊C4×C47—24no—
187C4⋊C4×C47—22no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47C2×D412yes—
192C4⋊C4×C47C2×D412yes—
193C4⋊C4×C47C2×D412yes—
194C22⋊C4×C47—24no—
195C22⋊C4×C47—24no—
196C22⋊C4×C47—24no—
197C22⋊C4×C47—22no—
198C22⋊C4×C47—22no—
199C42×C47—24no—
200C42×C47—24no—
201C42×C47—21no—
202C42×C47—21no—
203C22⋊Dic47—42no—
204C22⋊Dic47—42no—
205C22⋊Dic47—81no—
206C22⋊Dic47—81no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47—21no—
212C4⋊Dic47—21no—
213C4⋊Dic47—21no—
214C4⋊Dic47—21no—
215Dic47⋊C4—42no—
216Dic47⋊C4—81no—
217C4×Dic47—42no—
218#10625329—28no—
219C2×C47⋊C8—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—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8—21no—
229C2×C47⋊C8#4112yes—
230C2×C47⋊C8#4112yes—
231C23×C47—21no—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—21no—
238C23×C47—21no—
239C23×C47—21no—
240C23×C47—21no—
241C23×C47—21no—
242C23×C47—21no—
243C23×C47—21no—
244C23×C47#12012yes—
245C23×C47C22×D411yescharacteristic
246Q8×C47—22no—
247Q8×C47—22no—
248Q8×C47—41no—
249Q8×C47—41no—
250D4×C47—44no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—21no—
263C2×C4×C47—22no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
267C2×C4×C47—21no—
268C2×C4×C47—21no—
269C2×C4×C47—21no—
270C2×C4×C47—48no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—41no—
281C2×C4×C47—41no—
282C2×C4×C47—41no—
283C2×C4×C47#12012yes—
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×D411yescharacteristic
286C2×C4×C47C2×#4111yescharacteristic
287C2×C4×C47C2×#4111yescharacteristic
288C2×C4×C472−1+411yescharacteristic
289C2×C4×C472−1+411yescharacteristic
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—41no—
297C2×Dic47—41no—
298C2×Dic47—41no—
299C2×Dic47—41no—
300C2×Dic47—41no—
301C2×Dic47—41no—
302C47⋊C8—22no—
303C47⋊C8—22no—
304C47⋊C8—41no—
305C47⋊C8—41no—
306#24106—471nomaximal, Sylow
307C22×C47—22no—
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—41no—
311C22×C47—41no—
312C22×C47—41no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47—41no—
316C22×C47—41no—
317C22×C47—41no—
318C22×C47—41no—
319C22×C47—41no—
320C22×C47—41no—
321C22×C47C2×#12011yescharacteristic
322C22×C47#54711yescharacteristic
323C22×C47#54711yescharacteristic
324C22×C47#57511yescharacteristic
325C22×C47#57511yescharacteristic
326C22×C47#57711yescharacteristic
327C22×C47#57811yescharacteristic
328C4×C47—22no—
329C4×C47—41no—
330C4×C47—42no—
331C4×C47—41no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47—41no—
335C4×C47—42no—
336C4×C47#52511yescharacteristic
337C4×C47#53611yescharacteristic
338C4×C47#54711yescharacteristic
339C4×C47#54711yescharacteristic
340Dic47—81no—
341Dic47—81no—
342Dic47—81no—
343Dic47—81no—
344C2×#552D4711yescharacteristic
345C2×#485—471no—
346C2×#428—471no—
347#2485—471no—
348#2059—471no—
349#2059—471no—
350#2036—471no—
351#2035—471no—
352#1894—471no—
353#1870—471no—
354#1865—471no—
355#1863—471no—
356#1854—471no—
357#1854—471no—
358#1824—471no—
359C2×C47—42no—
360C2×C47—81no—
361C2×C47#240611yescharacteristic
362C2×C47#300511yescharacteristic
363C2×C47#301311yescharacteristic
364C2×C47#334811yescharacteristic
365C2×C47#334911yescharacteristic
366C2×C47#335111yescharacteristic
367C2×C47#335211yescharacteristic
368C22×M16—471no—
369#552—24no—
370#552—24no—
371C2×#126—21no—
372C2×#125—21no—
373C2×#125C2×D4711yescharacteristic
374C2×#123—21no—
375C2×C22⋊Q8C2×D4711yescharacteristic
376C2×C22⋊Q8C2×D4711yescharacteristic
377C2×C4×Q8C2×D4711yescharacteristic
378C2×C4×D4C2×D4711yescharacteristic
379C2×#117—21no—
380C2×#117—471no—
381C2×#117C2×D4711yescharacteristic
382C22×C4⋊C4C2×D4711yescharacteristic
383#485—944no—
384#428—944no—
385C2×#107—471no—
386C2×#107—471no—
387C2×#107—471no—
388C2×#106—471no—
389C2×#106—471no—
390C2×#106—471no—
391C2×#103—471no—
392C2×#103—471no—
393C2×#103—471no—
394C2×#103—471no—
395C2×C22⋊C8—471no—
396C2×C22⋊C8—471no—
397C2×C22⋊C8—471no—
398#397—941no—
399#394—941no—
400#389—471no—
401#389—471no—
402#388—941no—
403#387—941no—
404#380—471no—
405#380—471no—
406#380—471no—
407#340—471no—
408#340—471no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#336—471no—
414#336—471no—
415C47#2410611yescharacteristic, complemented, Sylow
416C22×Q8C22×D4711yescharacteristic
417C22×D4C22⋊D4711yescharacteristic
418C23×C4—21no—
419C23×C4C22×D4711yescharacteristic
420C23×C4C22×D4711yescharacteristic
421C2×M16—942no—
422C2×M16—942no—
423C2×M16—942no—
424C22×C8—471no—
425C22×C8—471no—
426C22×C8—471no—
427C22×C8—471no—
428#126—28no—
429#125—28no—
430#125—22no—
431#125—22no—
432#123—28no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8C22⋊D4714yes—
437C4×Q8—22no—
438C4×Q8—22no—
439C4×D4—22no—
440C4×D4—22no—
441#117—28no—
442#117—22no—
443#117—22no—
444#117—942no—
445#117—942no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—471no—
457C2×C4⋊C4—941no—
458C2×C4⋊C4—941no—
459C2×C4⋊C4C22⋊D4711yescharacteristic
460C2×C4⋊C4C22⋊D4714yes—
461C2×C4⋊C4C22×D4711yescharacteristic
462C2×C4⋊C4C22×D4711yescharacteristic
463C2×C4⋊C4C22×D4711yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—941no—
468C2×C22⋊C4—941no—
469C2×C22⋊C4—941no—
470C2×C22⋊C4—941no—
471C2×C22⋊C4C22⋊D4711yescharacteristic
472C2×C22⋊C4C22⋊D4711yescharacteristic
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—941no—
476C2×C42C22×D4711yescharacteristic
477#107—942no—
478#107—942no—
479#107—942no—
480#106—942no—
481#106—942no—
482#106—942no—
483#103—942no—
484#103—942no—
485#103—942no—
486#103—942no—
487C22⋊C8—942no—
488C22⋊C8—942no—
489C22⋊C8—942no—
490#95—941no—
491#95—941no—
492#95—941no—
493#95—941no—
494#95—941no—
495C24C2×C22⋊D4711yescharacteristic
496C24C2×C22⋊D4711yescharacteristic
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8C2×C22⋊D4712yes—
503C2×D4—22no—
504C2×D4—41no—
505C2×D4—41no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—941no—
527C22×C4C2×C22⋊D4711yescharacteristic
528C22×C4C2×C22⋊D4711yescharacteristic
529C22×C4C2×C22⋊D4711yescharacteristic
530C22×C4C2×C22⋊D4711yescharacteristic
531C22×C4C2×C22⋊D4712yes—
532C22×C4C2×C22⋊D4712yes—
533C22×C4C23×D4711yescharacteristic
534M16—948no—
535C2×C8—472no—
536C2×C8—472no—
537C2×C8—941no—
538C2×C8—941no—
539C2×C8—941no—
540C2×C8—941no—
541C2×C8—941no—
542C2×C8—941no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—941no—
558C4⋊C4—941no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4—941no—
563C4⋊C4—941no—
564C4⋊C4—941no—
565C4⋊C4—3761no—
566C4⋊C4—1882no—
567C4⋊C4C2×C22⋊D4712yes—
568C4⋊C4C2×C22⋊D4712yes—
569C4⋊C4C2×C22⋊D4712yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—3761no—
576C22⋊C4—3761no—
577C22⋊C4—1882no—
578C22⋊C4—1882no—
579C42—24no—
580C42—24no—
581C42—21no—
582C42—21no—
583C42—1882no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23#1309399312yes—
598C23C22×C22⋊D4711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—44no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—48no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—1881no—
637C2×C4—1881no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4#1309399312yes—
649C2×C4C22×C22⋊D4711yescharacteristic
650C2×C4C22×C22⋊D4711yescharacteristic
651C2×C4#41×D4711yescharacteristic
652C2×C4#41×D4711yescharacteristic
653C2×C4#1309407111yescharacteristic
654C2×C4#1309407111yescharacteristic
655C8—942no—
656C8—942no—
657C8—1881no—
658C8—1881no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22C2×#1309399311yescharacteristic
674C22#1568977211yescharacteristic
675C22#1568977211yescharacteristic
676C22#1568992111yescharacteristic
677C22#1568992111yescharacteristic
678C22#1568993111yescharacteristic
679C22#1568993811yescharacteristic
680C4—22no—
681C4—41no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—41no—
686C4—42no—
687C4—42no—
688C4—3761no—
689C4—3761no—
690C4—3761no—
691C4—3761no—
692C4#1568963011yescharacteristic
693C4#1568969411yescharacteristic
694C4#1568977211yescharacteristic
695C4#1568977211yescharacteristic
696C2—42no—
697C2—81no—
698C2#2024671911yescharacteristic
699C2#2025263011yescharacteristic
700C2#2025270311yescharacteristic
701C2#2025589711yescharacteristic
702C2#2025591811yescharacteristic
703C2#2025594811yescharacteristic
704C2#2025595711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC2×C47×#552C2
socleC23×C47C22×D4
prime radicalC22×D4×C47D4
hypercenterC2×#552D47
hypocenterC47#24106
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. C2×#15689461C2semidirect
2. C2×#15689163C2semidirect
4. #20244723C2semidirect
5. #20244723C2semidirect
6. #20244588C2semidirect
7. #20244581C2semidirect
8. #20243822C2semidirect
10. #20243656C2semidirect
11. #20243642C2semidirect
12. #20243587C2semidirect
13. #20243587C2semidirect
14. #20243478C2semidirect
415. C47#24106semidirect

Maximal subgroups

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

subgroupindex
C2×#156894612
C2×#156891632
#202476852
#202447232
#202445882
#202445812
#202438222
#202436862
#202436562
#202436422
#202435872
#202434782
C2×C47×#5522
#2410647