Finite Group Databasebeta

← #26214773

Subgroups — #26214773

Order 12032.

1206 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689223C211yesmaximal, characteristic
2C2×#15689220C211yesmaximal, characteristic
3C2×#15689214C211yesmaximal, characteristic
4C4×#13093989C211yesmaximal, characteristic, complemented
5C4×D4×Dic47C211yesmaximal, characteristic
6#20243286C211yesmaximal, characteristic, complemented
7#20243284C211yesmaximal, characteristic, complemented
8#20243280C211yesmaximal, characteristic, complemented
9#20243219C211yesmaximal, characteristic, complemented
10#20243217C211yesmaximal, characteristic, complemented
11#20243215C211yesmaximal, characteristic
12#20243207C211yesmaximal, characteristic, complemented
13#102×Dic47C211yesmaximal, characteristic
14#97×Dic47C211yesmaximal, characteristic, complemented
15C47×#1762C211yesmaximal, characteristic
16C22×#10625335C2211yescharacteristic
17C2×C4×Dic94C2211yescharacteristic
18C2×#13093989C2211yescharacteristic
19C2×#13093989C2211yescharacteristic
20C2×D4×Dic47C2211yescharacteristic
21C2×D4×Dic47C2211yescharacteristic
22C22×C4×Dic47—21no—
23#15689223C418yescomplemented
24#15689220C418yescomplemented
25#15689214C418yescomplemented
26C2×#13093957C2211yescharacteristic
27C2×#13093957C2211yescharacteristic
28C2×#13093955C2211yescharacteristic
29C2×#13093949C2211yescharacteristic
30C2×#13093949C2211yescharacteristic
31C2×#13093947C2211yescharacteristic
32C2×#13093945C2211yescharacteristic
33C2×#13093935C2211yescharacteristic
34C2×#13093934C2211yescharacteristic
35C2×#13093934C2211yescharacteristic
36C2×C8×Dic47C2211yescharacteristic
37C2×C8×Dic47C2211yescharacteristic
38C4⋊C4×Dic47C2211yescharacteristic
39C4⋊C4×Dic47C2211yescharacteristic
40C4⋊C4×Dic47C2211yescharacteristic
41C4⋊C4×Dic47C2211yescharacteristic
42C4×Dic47⋊C4—21no—
43C4×C4⋊Dic47C2211yescharacteristic
44#15688974—21no—
45#15688974—21no—
46C22⋊C4×Dic47—21no—
47C22⋊C4×Dic47—21no—
48C4×C22⋊Dic47—21no—
49C42×Dic47—21no—
50C42×Dic47C2211yescharacteristic
51#15688886C2211yescharacteristic
52#15688886C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic
56C2×#102×C47C2211yescharacteristic
57C2×#102×C47C2211yescharacteristic
58C2×#97×C47C2211yescharacteristic
59C4×C4⋊C4×C47C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×Dic94C2311yescharacteristic
63C23×Dic47—21no—
64C23×Dic47—21no—
65C2×#10625335C2×C414yes—
66C2×#10625335C2×C414yes—
67C2×#10625335C2×C414yes—
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C4×Dic94—22no—
71C4×Dic94C2×C414yescomplemented
72#13093989—22no—
73#13093989—22no—
74#13093989C2×C414yescomplemented
75#13093989C2×C414yescomplemented
76D4×Dic47—22no—
77D4×Dic47—22no—
78D4×Dic47C2×C414yes—
79D4×Dic47C2×C414yes—
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—
90C2×C4×Dic47—21no—
91C2×C4×Dic47—21no—
92C2×C4×Dic47—21no—
93C2×C4×Dic47—21no—
94C2×C4×Dic47—21no—
95C2×C4×Dic47—21no—
96C2×C4×Dic47—44no—
97C2×C4×Dic47D411yescharacteristic
98C2×C4×Dic47D411yescharacteristic
99C2×C4×Dic47D411yescharacteristic
100C2×C4×Dic47D411yescharacteristic
101C2×C4×Dic47C2311yescharacteristic
102C2×C4×Dic47C2311yescharacteristic
103#13093957C2×C414yescomplemented
104#13093957C2×C414yescomplemented
105#13093955C2×C414yescomplemented
106#13093949C2×C414yescomplemented
107#13093949C2×C414yescomplemented
108#13093947C2×C414yescomplemented
109#13093945C2×C414yes—
110#13093935C2×C414yescomplemented
111#13093934—22no—
112#13093934C2×C414yescomplemented
113C8×Dic47—22no—
114C8×Dic47C2×C414yescomplemented
115C47⋊#95—21no—
116C47⋊#95—21no—
117C47⋊#95—21no—
118C47⋊#95—21no—
119C47⋊#95—21no—
120C22×D4×C47C2311yescharacteristic
121C23×C4×C47—21no—
122C22×C8×C47C2311yescharacteristic
123C22×C8×C47C2311yescharacteristic
124C4×D4×C47—22no—
125C4×D4×C47C2×C414yes—
126C2×C4⋊C4×C47C2311yescharacteristic
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47C2311yescharacteristic
129C2×C22⋊C4×C47—21no—
130C2×C42×C47—21no—
131C2×C42×C47C2311yescharacteristic
132#102×C47C2×C414yes—
133#102×C47C2×C414yes—
134#97×C47—22no—
135#95×C47—21no—
136C24×C47—21no—
137C2×D4×C47—21no—
138C2×D4×C47—21no—
139C2×D4×C47—21no—
140C2×D4×C47C22×C412yes—
141C2×D4×C47C22×C412yes—
142C2×D4×C47C22×C412yes—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—24no—
147C22×C4×C47—42no—
148C22×C4×C47—42no—
149C22×C4×C47C2×D411yescharacteristic
150C22×C4×C47C2×D411yescharacteristic
151C22×C4×C47C2411yescharacteristic
152C22×Dic47—21no—
153C22×Dic47—21no—
154C22×Dic47—21no—
155C22×Dic47—21no—
156C22×Dic47—24no—
157C22×Dic47—24no—
158C22×Dic47—42no—
159C22×Dic47—42no—
160C22×Dic47—42no—
161C22×Dic47—42no—
162C22×Dic47C2×D411yescharacteristic
163C22×Dic47C2×D411yescharacteristic
164C22×Dic47C2×D411yescharacteristic
165C22×Dic47C2×D411yescharacteristic
166C2×Dic94—21no—
167C2×Dic94—21no—
168C2×Dic94—21no—
169C2×Dic94C22×C412yes—
170C2×Dic94C22×C412yes—
171C2×Dic94C22×C412yes—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47C22×C412yes—
177C2×C8×C47C22×C412yes—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47C22×C412yes—
182C4⋊C4×C47C22×C412yes—
183C4⋊C4×C47C22×C412yes—
184C22⋊C4×C47—24no—
185C42×C47—42no—
186C42×C47C22×C412yes—
187C42×C47#4112yes—
188C22⋊Dic47—24no—
189C22⋊Dic47—24no—
190#10625335C42116yescomplemented
191C4⋊Dic47—21no—
192C4⋊Dic47—21no—
193C4⋊Dic47—21no—
194C4⋊Dic47C22×C412yes—
195C4⋊Dic47C22×C412yes—
196C4⋊Dic47C22×C412yes—
197Dic47⋊C4—24no—
198Dic47⋊C4—24no—
199Dic47⋊C4—24no—
200C4×Dic47—24no—
201C4×Dic47—24no—
202C4×Dic47—24no—
203C4×Dic47—22no—
204C4×Dic47—22no—
205C4×Dic47—41no—
206C4×Dic47—41no—
207C4×Dic47—42no—
208C4×Dic47—42no—
209C4×Dic47—42no—
210C4×Dic47—42no—
211C4×Dic47—42no—
212C4×Dic47C22×C412yes—
213C4×Dic47C22×C412yes—
214C4×Dic47#4112yes—
215C4×Dic47#4112yes—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8C22×C412yes—
219C2×C47⋊C8C22×C412yes—
220C2×C47⋊C8C22×C412yes—
221C2×C47⋊C8C22×C412yes—
222C23×C47—22no—
223C23×C47—22no—
224C23×C47—22no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47C22×D411yescharacteristic
230D4×C47—22no—
231D4×C47—22no—
232D4×C47—22no—
233D4×C47C2×C4214yes—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—48no—
242C2×C4×C47—41no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47C4×D412yes—
249C2×C4×C47C4×D412yes—
250C2×C4×C47C23×C411yescharacteristic
251C2×C4×C47C23×C411yescharacteristic
252C2×C4×C47C23×C411yescharacteristic
253C2×C4×C47C2×#4111yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C2×Dic47—22no—
257C2×Dic47—22no—
258C2×Dic47—22no—
259C2×Dic47—21no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—48no—
269C2×Dic47—41no—
270C2×Dic47—41no—
271C2×Dic47—41no—
272C2×Dic47—41no—
273C2×Dic47—41no—
274C2×Dic47—41no—
275C2×Dic47—48no—
276C2×Dic47C4×D412yes—
277C2×Dic47C4×D412yes—
278C2×Dic47C4×D412yes—
279C2×Dic47C4×D412yes—
280C2×Dic47AGL(1,ℤ/8)12yes—
281C2×Dic47#13712yes—
282Dic94—22no—
283Dic94—22no—
284Dic94—22no—
285Dic94C2×C4214yescomplemented
286C8×C47—22no—
287C8×C47—22no—
288C47⋊C8—22no—
289C47⋊C8C2×C4214yescomplemented
290C4×#440—471nomaximal, Sylow
291C22×C47—24no—
292C22×C47—42no—
293C22×C47—42no—
294C22×C47—42no—
295C22×C47—42no—
296C22×C47—42no—
297C22×C47—42no—
298C22×C47C2×C4×D411yescharacteristic
299C22×C47C2×C4×D411yescharacteristic
300C22×C47C2×C4×D411yescharacteristic
301C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
302C22×C47C2×#13711yescharacteristic
303C22×C47#57511yescharacteristic
304C22×C47#57511yescharacteristic
305C4×C47—22no—
306C4×C47—22no—
307C4×C47—42no—
308C4×C47—42no—
309C4×C47—42no—
310C4×C47C22×C4211yescharacteristic
311C4×C47C4×#4111yescharacteristic
312C4×C47C4×#4111yescharacteristic
313C4×C47C4×#4111yescharacteristic
314Dic47—22no—
315Dic47—22no—
316Dic47—22no—
317Dic47—24no—
318Dic47—42no—
319Dic47—42no—
320Dic47—42no—
321Dic47#44014yescomplemented
322C2×#440—471no—
323C2×#440—471no—
324C2×C4×SD16—471no—
325C42×Q8—471no—
326C42×D4—471no—
327#1776—471no—
328#1776—471no—
329C4×#107—471no—
330#1763—471no—
331#1763—471no—
332#1762—471no—
333#1762D4711yescharacteristic
334C4×#103—471no—
335C4×#102—471no—
336C4×#97—471no—
337C2×C47—44no—
338C2×C47C42×D411yescharacteristic
339C2×C47C2×#44011yescharacteristic
340C2×C47#294311yescharacteristic
341C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
342C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
343C2×C47C4×#13711yescharacteristic
344C2×C47C4×#13711yescharacteristic
345C22×SD16—471no—
346C2×C4×Q8—471no—
347C2×C4×Q8—471no—
348C2×C4×Q8—471no—
349C2×C4×D4—471no—
350C2×C4×D4—471no—
351C2×C4×D4C2×D4711yescharacteristic
352C22×C42—941no—
353#440—478no—
354#440—478no—
355C4×SD16—478no—
356C2×#107—471no—
357C2×#107—471no—
358C2×#106—471no—
359C2×#103—471no—
360C2×#103—471no—
361C2×#103—471no—
362C2×#102—471no—
363C2×#102C2×D4711yescharacteristic
364C2×#102C2×D4711yescharacteristic
365C2×#97—471no—
366C2×#97—471no—
367C2×#97—471no—
368C2×#97C2×D4711yescharacteristic
369C2×C4×C8—471no—
370C2×C4×C8—471no—
371C4×C4⋊C4—471no—
372C4×C4⋊C4—471no—
373C4×C4⋊C4—471no—
374C4×C4⋊C4—471no—
375C4×C4⋊C4—471no—
376C4×C4⋊C4—941no—
377C4×C4⋊C4—941no—
378C4×C4⋊C4—941no—
379C4×C4⋊C4C2×D4711yescharacteristic
380C4×C22⋊C4—941no—
381C4×C22⋊C4—941no—
382C4×C22⋊C4—941no—
383C43—471no—
384C43—941no—
385#340—471no—
386#340—471no—
387#340—471no—
388#340—471no—
389#340C2×D4711yescharacteristic
390#340C2×D4711yescharacteristic
391C47C4×#44011yescharacteristic, complemented, Sylow
392C22×Q8—471no—
393C22×D4C22×D4711yescharacteristic
394C23×C4—21no—
395C23×C4—941no—
396C23×C4—941no—
397C2×SD16—474no—
398C2×SD16—474no—
399C2×SD16—474no—
400C22×C8—471no—
401C22×C8—471no—
402C22×C8C22×D4711yescharacteristic
403C22×C8C22×D4711yescharacteristic
404C4×Q8—474no—
405C4×Q8—474no—
406C4×Q8—474no—
407C4×Q8—942no—
408C4×Q8—942no—
409C4×Q8—942no—
410C4×D4—22no—
411C4×D4—474no—
412C4×D4—474no—
413C4×D4—942no—
414C4×D4—942no—
415C4×D4C4×D4714yes—
416C2×C4⋊C4—471no—
417C2×C4⋊C4—471no—
418C2×C4⋊C4—471no—
419C2×C4⋊C4—941no—
420C2×C4⋊C4—941no—
421C2×C4⋊C4—941no—
422C2×C4⋊C4C22×D4711yescharacteristic
423C2×C4⋊C4C22×D4711yescharacteristic
424C2×C4⋊C4C22×D4711yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—941no—
427C2×C22⋊C4—941no—
428C2×C42—21no—
429C2×C42—471no—
430C2×C42—471no—
431C2×C42—471no—
432C2×C42—471no—
433C2×C42—471no—
434C2×C42—471no—
435C2×C42—941no—
436C2×C42—941no—
437C2×C42—941no—
438C2×C42—941no—
439C2×C42—941no—
440C2×C42—941no—
441C2×C42—941no—
442C2×C42—941no—
443C2×C42—1884no—
444C2×C42C22×D4711yescharacteristic
445#107—474no—
446#107—474no—
447#106—474no—
448#103—474no—
449#103—474no—
450#103—474no—
451#102—474no—
452#102C4×D4714yes—
453#102C4×D4714yes—
454#97—22no—
455#97—474no—
456#97—474no—
457#97—942no—
458C4×C8—474no—
459C4×C8—942no—
460#95—21no—
461#95—941no—
462#95—941no—
463#95—941no—
464#95—941no—
465#95—941no—
466C24—21no—
467C2×Q8—472no—
468C2×Q8—472no—
469C2×Q8—472no—
470C2×Q8—941no—
471C2×Q8—941no—
472C2×Q8—941no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4C2×C4×D4712yes—
477C2×D4C2×C4×D4712yes—
478C2×D4C2×C4×D4712yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—24no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—471no—
486C22×C4—471no—
487C22×C4—471no—
488C22×C4—471no—
489C22×C4—944no—
490C22×C4—944no—
491C22×C4—941no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4—941no—
495C22×C4—1882no—
496C22×C4—1882no—
497C22×C4—1882no—
498C22×C4—1882no—
499C22×C4D4×D4711yescharacteristic
500C22×C4D4×D4711yescharacteristic
501C22×C4C23×D4711yescharacteristic
502SD16—4716no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—472no—
508C2×C8—472no—
509C2×C8—472no—
510C2×C8—472no—
511C2×C8—941no—
512C2×C8—941no—
513C2×C8C2×C4×D4712yes—
514C2×C8C2×C4×D4712yes—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—472no—
519C4⋊C4—472no—
520C4⋊C4—472no—
521C4⋊C4—944no—
522C4⋊C4—944no—
523C4⋊C4—944no—
524C4⋊C4—941no—
525C4⋊C4—941no—
526C4⋊C4—941no—
527C4⋊C4C2×C4×D4712yes—
528C4⋊C4C2×C4×D4712yes—
529C4⋊C4C2×C4×D4712yes—
530C22⋊C4—24no—
531C22⋊C4—944no—
532C22⋊C4—944no—
533C42—42no—
534C42—472no—
535C42—472no—
536C42—472no—
537C42—472no—
538C42—942no—
539C42—942no—
540C42—944no—
541C42—944no—
542C42—944no—
543C42—1881no—
544C42—1881no—
545C42—1882no—
546C42—1882no—
547C42—1882no—
548C42—1882no—
549C42—1882no—
550C42C2×C4×D4712yes—
551C42#1062535212yes—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C2×D4×D4711yescharacteristic
560Q8—474no—
561Q8—942no—
562Q8—942no—
563Q8—942no—
564D4—22no—
565D4—22no—
566D4—22no—
567D4C42×D4714yes—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—48no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—472no—
583C2×C4—472no—
584C2×C4—472no—
585C2×C4—472no—
586C2×C4—472no—
587C2×C4—472no—
588C2×C4—942no—
589C2×C4—942no—
590C2×C4—942no—
591C2×C4—941no—
592C2×C4—941no—
593C2×C4—941no—
594C2×C4—941no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—942no—
598C2×C4—942no—
599C2×C4—942no—
600C2×C4—1888no—
601C2×C4—1888no—
602C2×C4—1881no—
603C2×C4—1881no—
604C2×C4—1881no—
605C2×C4—1881no—
606C2×C4—1881no—
607C2×C4—1881no—
608C2×C4(C22⋊D47)⋊C412yes—
609C2×C4(C22⋊D47)⋊C412yes—
610C2×C4C22×C4×D4711yescharacteristic
611C2×C4C22×C4×D4711yescharacteristic
612C2×C4C22×C4×D4711yescharacteristic
613C2×C4#41×D4711yescharacteristic
614C2×C4#41×D4711yescharacteristic
615C2×C4C2×#1062535211yescharacteristic
616C8—22no—
617C8—22no—
618C8—474no—
619C8—942no—
620C22—24no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22C4×D4×D4711yescharacteristic
628C22C4×D4×D4711yescharacteristic
629C22C2×(C22⋊D47)⋊C411yescharacteristic
630C22AGL(1,ℤ/8)×D4711yescharacteristic
631C22#137×D4711yescharacteristic
632C22#1568991911yescharacteristic
633C22#1568991911yescharacteristic
634C4—22no—
635C4—22no—
636C4—42no—
637C4—42no—
638C4—42no—
639C4—474no—
640C4—942no—
641C4—942no—
642C4—942no—
643C4—944no—
644C4—1882no—
645C4—1882no—
646C4—1882no—
647C4C2×C42×D4711yescharacteristic
648C4C4×#1062535211yescharacteristic
649C4C4×#1062535211yescharacteristic
650C4#1568959111yescharacteristic
651C2—44no—
652C2C4×(C22⋊D47)⋊C411yescharacteristic
653C2#440×D4711yescharacteristic
654C2#2025218511yescharacteristic
655C2#2025219211yescharacteristic
656C2#2025219911yescharacteristic
657C2#2025221011yescharacteristic
658C2#2025221211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC4×C47C22×C42
FrattiniC22×C4C23×D47
FittingC47×#1762C2
socleC23×C47C22×D4
prime radicalC22×D4×C47C23
cosocleC22×C4×C47C24
hypercenter#1762D47
hypocenterC47C4×#440
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
4. C4×#13093989C2semidirect
6. #20243286C2semidirect
7. #20243284C2semidirect
8. #20243280C2semidirect
9. #20243219C2semidirect
10. #20243217C2semidirect
12. #20243207C2semidirect
14. #97×Dic47C2semidirect
23. #15689223C4semidirect
24. #15689220C4semidirect
25. #15689214C4semidirect
71. C4×Dic94C2×C4semidirect
74. #13093989C2×C4semidirect
75. #13093989C2×C4semidirect
103. #13093957C2×C4semidirect
104. #13093957C2×C4semidirect
105. #13093955C2×C4semidirect
106. #13093949C2×C4semidirect
107. #13093949C2×C4semidirect
108. #13093947C2×C4semidirect
110. #13093935C2×C4semidirect
112. #13093934C2×C4semidirect
114. C8×Dic47C2×C4semidirect
190. #10625335C42semidirect
285. Dic94C2×C42semidirect
289. C47⋊C8C2×C42semidirect
321. Dic47#440semidirect
391. C47C4×#440semidirect

Maximal subgroups

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

subgroupindex
C2×#156892232
C2×#156892202
C2×#156892142
C4×#130939892
C4×D4×Dic472
#202432862
#202432842
#202432802
#202432192
#202432172
#202432152
#202432072
#102×Dic472
#97×Dic472
C47×#17622
C4×#44047