Finite Group Databasebeta

← #26222888

Subgroups — #26222888

Order 12032.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689350C211yesmaximal, characteristic
2C2×#15689223C211yesmaximal, characteristic, complemented
3C2×#15689079C211yesmaximal, characteristic, complemented
4#20246070C211yesmaximal, characteristic, complemented
5#20244268C211yesmaximal, characteristic, complemented
6#20244128C211yesmaximal, characteristic, complemented
7#20244074C211yesmaximal, characteristic, complemented
8#20244063C211yesmaximal, characteristic, complemented
9#20243827C211yesmaximal, characteristic
10#20243819C211yesmaximal, characteristic, complemented
11#20243415C211yesmaximal, characteristic, complemented
12#20243286C211yesmaximal, characteristic, complemented
13C4×#13093947C211yesmaximal, characteristic, complemented
14C4×#13093945C211yesmaximal, characteristic, complemented
15C47×#2324C211yesmaximal, characteristic
16C22×#10625335C2211yescharacteristic
17C22×#10625329C2211yescharacteristic
18C23×C47⋊C8C2211yescharacteristic
19C2×#13094003C2211yescharacteristic
20C2×C4×Dic94C2211yescharacteristic
21#15689350C418yescomplemented
22#15689223—24no—
23C2×#13093957C2211yescharacteristic
24C2×#13093957C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×#13093947C2211yescharacteristic
27C2×#13093947C2211yescharacteristic
28C2×#13093947C2211yescharacteristic
29C2×#13093945C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32#15689079—24no—
33C2×#13093935C2211yescharacteristic
34C2×#13093935C2211yescharacteristic
35C2×C4×C47⋊C8C2211yescharacteristic
36C2×C4×C47⋊C8C2211yescharacteristic
37#15689029C2211yescharacteristic
38#15689021C2211yescharacteristic
39#15689018—21no—
40#15689017—21no—
41#15689011—21no—
42#15689004—21no—
43#15688983C2211yescharacteristic
44C4×C4⋊Dic47C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51C2×#121×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C2×#117×C47C2211yescharacteristic
54C47×#390—21no—
55C47×#390C2211yescharacteristic
56C47×#389C2211yescharacteristic
57C47×#388—21no—
58C47×#386—21no—
59C47×#385—21no—
60C47×#380C2211yescharacteristic
61C4×C4⋊C4×C47C2211yescharacteristic
62C22×Dic94C2311yescharacteristic
63C2×#10625335—22no—
64C2×#10625335—22no—
65C2×#10625335C2×C414yes—
66C2×#10625329—22no—
67C2×#10625329—22no—
68C2×#10625329—22no—
69C22×C47⋊C8—22no—
70C22×C47⋊C8—22no—
71C22×C47⋊C8C2×C414yescomplemented
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75C22×C47⋊C8C2311yescharacteristic
76#13094003—22no—
77#13094003C2×C414yescomplemented
78C4×Dic94—22no—
79C4×Dic94—22no—
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×C4⋊Dic47C2311yescharacteristic
83C2×Dic47⋊C4—21no—
84C2×Dic47⋊C4—21no—
85C2×Dic47⋊C4—21no—
86C2×C22⋊Dic47—21no—
87C2×C22⋊Dic47—21no—
88C2×C4×Dic47—21no—
89C2×C4×Dic47—21no—
90#13093957—22no—
91#13093957—22no—
92#13093955C2×C414yescomplemented
93#13093947—22no—
94#13093947—22no—
95#13093947C2×C414yescomplemented
96#13093945—22no—
97#13093945—22no—
98#13093945C2×C414yes—
99#13093935—22no—
100#13093935D414yescomplemented
101C4×C47⋊C8—22no—
102C4×C47⋊C8—22no—
103C47⋊#95—21no—
104C47⋊#95—21no—
105C47⋊#95—21no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C22×D4×C47—21no—
109C22×D4×C47C2311yescharacteristic
110C23×C4×C47—21no—
111C23×C4×C47C2311yescharacteristic
112#121×C47—22no—
113#121×C47C2×C414yes—
114C4×D4×C47—22no—
115C4×D4×C47—22no—
116#117×C47—22no—
117#117×C47—22no—
118C2×C4⋊C4×C47—21no—
119C2×C4⋊C4×C47D411yescharacteristic
120C2×C4⋊C4×C47D411yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C4⋊C4×C47C2311yescharacteristic
123C2×C4⋊C4×C47C2311yescharacteristic
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47—21no—
126C2×C22⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C22⋊C4×C47—21no—
129C2×C22⋊C4×C47D411yescharacteristic
130C2×C22⋊C4×C47D411yescharacteristic
131C2×C42×C47—21no—
132C2×C42×C47C2311yescharacteristic
133C2×C42×C47C2311yescharacteristic
134#95×C47—21no—
135#95×C47—21no—
136#95×C47—21no—
137C24×C47—21no—
138C24×C47C2×D411yescharacteristic
139C2×D4×C47—24no—
140C2×D4×C47—21no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—81no—
146C2×D4×C47—81no—
147C2×D4×C47C22×C412yes—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—42no—
156C22×C4×C47—81no—
157C22×C4×C47—81no—
158C22×C4×C47C22×C412yes—
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47#4112yes—
165C22×C4×C47C2411yescharacteristic
166C22×Dic47—21no—
167C22×Dic47—21no—
168C22×Dic47—21no—
169C22×Dic47—21no—
170C2×Dic94—21no—
171C2×Dic94—21no—
172C2×Dic94—21no—
173C2×Dic94—21no—
174C2×Dic94—21no—
175C2×Dic94C22×C412yes—
176C4⋊C4×C47—22no—
177C4⋊C4×C47—22no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—81no—
184C4⋊C4×C47C22×C412yes—
185C22⋊C4×C47—24no—
186C22⋊C4×C47—22no—
187C22⋊C4×C47—22no—
188C22⋊C4×C47—42no—
189C22⋊C4×C47—81no—
190C22⋊C4×C47—81no—
191C22⋊C4×C47—81no—
192C42×C47—21no—
193C42×C47—21no—
194C42×C47—81no—
195C42×C47C2×D412yes—
196C42×C47#4112yes—
197C22⋊Dic47—24no—
198C22⋊Dic47—81no—
199#10625335—28no—
200C4⋊Dic47—21no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47C22×C412yes—
206Dic47⋊C4—24no—
207Dic47⋊C4—42no—
208Dic47⋊C4—81no—
209C4×Dic47—42no—
210C4×Dic47—81no—
211#10625329—28no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—28no—
219C2×C47⋊C8C22×C412yes—
220C2×C47⋊C8C22×C412yes—
221C2×C47⋊C8C2×D412yes—
222C2×C47⋊C8C2×D412yes—
223C2×C47⋊C8#4112yes—
224C2×C47⋊C8#4112yes—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—21no—
230C23×C47—21no—
231C23×C47—22no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47C4×D412yes—
239C23×C47C22×D411yescharacteristic
240D4×C47—22no—
241D4×C47—22no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—84no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—21no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—84no—
271C2×C4×C47C4×D412yes—
272C2×C4×C47#12112yes—
273C2×C4×C47#12112yes—
274C2×C4×C47C23×C411yescharacteristic
275C2×C4×C47C22×D411yescharacteristic
276C2×C4×C47C2×#4111yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C2×C4×C47C2×#4111yescharacteristic
280C2×Dic47—22no—
281C2×Dic47—22no—
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—
292Dic94—22no—
293Dic94—22no—
294Dic94—41no—
295Dic94—41no—
296C47⋊C8—22no—
297C47⋊C8—22no—
298C47⋊C8—22no—
299C47⋊C8C4×D414yes—
300#21531—471nomaximal, Sylow
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—41no—
305C22×C47—41no—
306C22×C47—41no—
307C22×C47—41no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—81no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C2×#12111yescharacteristic
317C22×C47#53211yescharacteristic
318C22×C47#57611yescharacteristic
319C22×C47#57711yescharacteristic
320C22×C47#57711yescharacteristic
321C22×C47#57811yescharacteristic
322C4×C47—22no—
323C4×C47—22no—
324C4×C47—22no—
325C4×C47—42no—
326C4×C47—41no—
327C4×C47—41no—
328C4×C47—81no—
329C4×C47—81no—
330C4×C47C2×C4×D411yescharacteristic
331C4×C47C4×#4111yescharacteristic
332C4×C47#52511yescharacteristic
333C4×C47#52911yescharacteristic
334Dic47—42no—
335Dic47—42no—
336Dic47—81no—
337Dic47—81no—
338C2×#465—471no—
339C2×#440—471no—
340C2×#405—471no—
341#2324D4711yescharacteristic
342#2323—471no—
343#1973—471no—
344#1944—471no—
345#1934—471no—
346#1933—471no—
347#1895—471no—
348#1894—471no—
349#1808—471no—
350#1776—471no—
351C4×#103—471no—
352C4×#102—471no—
353C2×C47—42no—
354C2×C47—82no—
355C2×C47C4×#12111yescharacteristic
356C2×C47#294911yescharacteristic
357C2×C47#295111yescharacteristic
358C2×C47#306211yescharacteristic
359C2×C47#306311yescharacteristic
360C2×C47#317811yescharacteristic
361C2×C47#317911yescharacteristic
362C22×SD16—471no—
363C22×M16—471no—
364C23×C8—471no—
365C2×C22⋊Q8—471no—
366C2×#121C2×D4711yescharacteristic
367C2×C4×Q8—471no—
368C2×C4×D4C2×D4711yescharacteristic
369C2×#117C2×D4711yescharacteristic
370#465—478no—
371#440—944no—
372C2×#107—471no—
373C2×#107—471no—
374C2×#106—471no—
375C2×#103—471no—
376C2×#103—471no—
377C2×#103—471no—
378C2×#102—471no—
379C2×#102—471no—
380C2×#102—471no—
381#405—944no—
382C2×#97—471no—
383C2×#97—471no—
384C2×C4×C8—471no—
385C2×C4×C8—471no—
386#391—471no—
387#390—21no—
388#390C2×D4711yescharacteristic
389#389—471no—
390#389—941no—
391#389C2×D4711yescharacteristic
392#388—21no—
393#388—941no—
394#388—941no—
395#387—941no—
396#386—21no—
397#385—21no—
398#380—471no—
399#380C2×D4711yescharacteristic
400C4×C4⋊C4—471no—
401C4×C4⋊C4C2×D4711yescharacteristic
402#340—471no—
403#340—471no—
404#340—471no—
405#340—471no—
406#340—471no—
407#340—471no—
408C47#2153111yescharacteristic, complemented, Sylow
409C22×Q8—471no—
410C22×D4—21no—
411C22×D4C22×D4711yescharacteristic
412C23×C4—21no—
413C23×C4C22×D4711yescharacteristic
414C2×SD16—474no—
415C2×SD16—942no—
416C2×SD16—942no—
417C2×M16—942no—
418C2×M16—942no—
419C2×M16—942no—
420C22×C8—471no—
421C22×C8—474no—
422C22×C8—471no—
423C22×C8—471no—
424C22×C8—471no—
425C22×C8—942no—
426C22×C8—942no—
427C22⋊Q8—474no—
428C22⋊Q8—942no—
429#121—22no—
430#121C4×D4714yes—
431C4×Q8—942no—
432C4×Q8—942no—
433C4×D4—22no—
434C4×D4—22no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—471no—
439C2×C4⋊C4—471no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—941no—
442C2×C4⋊C4—941no—
443C2×C4⋊C4—941no—
444C2×C4⋊C4C22⋊D4711yescharacteristic
445C2×C4⋊C4C22⋊D4711yescharacteristic
446C2×C4⋊C4C22×D4711yescharacteristic
447C2×C4⋊C4C22×D4711yescharacteristic
448C2×C4⋊C4C22×D4711yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—941no—
455C2×C22⋊C4—941no—
456C2×C22⋊C4C22⋊D4711yescharacteristic
457C2×C22⋊C4C22⋊D4711yescharacteristic
458C2×C42—21no—
459C2×C42—941no—
460C2×C42—941no—
461C2×C42C22×D4711yescharacteristic
462C2×C42C22×D4711yescharacteristic
463#107—942no—
464#107—942no—
465#106—474no—
466#103—474no—
467#103—942no—
468#103—942no—
469#102—474no—
470#102—942no—
471#102—942no—
472#97—474no—
473#97—942no—
474C4×C8—942no—
475C4×C8—942no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—941no—
480#95—941no—
481#95—941no—
482#95—941no—
483#95—941no—
484C24—21no—
485C24C2×C22⋊D4711yescharacteristic
486C2×Q8—472no—
487C2×Q8—941no—
488C2×Q8—941no—
489C2×Q8—941no—
490C2×Q8—941no—
491C2×Q8—941no—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×C4×D4712yes—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—941no—
512C22×C4—941no—
513C22×C4—941no—
514C22×C4—941no—
515C22×C4C2×C4×D4712yes—
516C22×C4#1062535012yes—
517C22×C4C2×C22⋊D4711yescharacteristic
518C22×C4C2×C22⋊D4711yescharacteristic
519C22×C4C2×C22⋊D4711yescharacteristic
520C22×C4C2×C22⋊D4711yescharacteristic
521C22×C4C2×C22⋊D4711yescharacteristic
522C22×C4C23×D4711yescharacteristic
523SD16—948no—
524M16—948no—
525C2×C8—472no—
526C2×C8—472no—
527C2×C8—472no—
528C2×C8—472no—
529C2×C8—472no—
530C2×C8—472no—
531C2×C8—948no—
532C2×C8—941no—
533C2×C8—941no—
534C2×C8—941no—
535C2×C8—941no—
536C2×C8—941no—
537C2×C8—941no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—81no—
546C4⋊C4—472no—
547C4⋊C4—944no—
548C4⋊C4—941no—
549C4⋊C4—941no—
550C4⋊C4—941no—
551C4⋊C4—941no—
552C4⋊C4—941no—
553C4⋊C4—3761no—
554C4⋊C4—1882no—
555C4⋊C4C2×C4×D4712yes—
556C22⋊C4—24no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—42no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—944no—
564C22⋊C4—3761no—
565C42—21no—
566C42—21no—
567C42—81no—
568C42—3761no—
569C42—1882no—
570C42D4×D4712yes—
571C42#1062535212yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23C4×C22⋊D4712yes—
586C23C22×C22⋊D4711yescharacteristic
587Q8—942no—
588Q8—942no—
589Q8—1881no—
590Q8—1881no—
591D4—22no—
592D4—22no—
593D4—41no—
594D4—41no—
595D4—84no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—1881no—
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×C4C4×C22⋊D4712yes—
635C2×C4#1309399612yes—
636C2×C4#1309399612yes—
637C2×C4C22×C4×D4711yescharacteristic
638C2×C4C2×D4×D4711yescharacteristic
639C2×C4#41×D4711yescharacteristic
640C2×C4#41×D4711yescharacteristic
641C2×C4C2×#1062535211yescharacteristic
642C2×C4C2×#1062535011yescharacteristic
643C8—474no—
644C8—942no—
645C8—942no—
646C8—942no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C4×C22⋊D4711yescharacteristic
662C22C2×#1309399611yescharacteristic
663C22#1568966911yescharacteristic
664C22#1568992611yescharacteristic
665C22#1568993411yescharacteristic
666C22#1568993411yescharacteristic
667C22#1568993811yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—3761no—
677C4—3761no—
678C4—1882no—
679C4—1882no—
680C4C4×D4×D4711yescharacteristic
681C4C4×#1062535211yescharacteristic
682C4#1568963211yescharacteristic
683C4#1568965311yescharacteristic
684C2—42no—
685C2—82no—
686C2C4×#1309399611yescharacteristic
687C2#2025224511yescharacteristic
688C2#2025226111yescharacteristic
689C2#2025306411yescharacteristic
690C2#2025308111yescharacteristic
691C2#2025405011yescharacteristic
692C2#2025407311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2324C2
socleC23×C47C22×D4
prime radicalC2×#121×C47C22
cosocleC22×C4×C47C24
hypercenter#2324D47
hypocenterC47#21531
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. C2×#15689223C2semidirect
3. C2×#15689079C2semidirect
4. #20246070C2semidirect
5. #20244268C2semidirect
6. #20244128C2semidirect
7. #20244074C2semidirect
8. #20244063C2semidirect
10. #20243819C2semidirect
11. #20243415C2semidirect
12. #20243286C2semidirect
13. C4×#13093947C2semidirect
14. C4×#13093945C2semidirect
21. #15689350C4semidirect
71. C22×C47⋊C8C2×C4semidirect
77. #13094003C2×C4semidirect
92. #13093955C2×C4semidirect
95. #13093947C2×C4semidirect
100. #13093935D4semidirect
408. C47#21531semidirect

Maximal subgroups

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

subgroupindex
C2×#156893502
C2×#156892232
C2×#156890792
#202460702
#202442682
#202441282
#202440742
#202440632
#202438272
#202438192
#202434152
#202432862
C4×#130939472
C4×#130939452
C47×#23242
#2153147