Finite Group Databasebeta

← #26214797

Subgroups — #26214797

Order 12032.

1130 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689224C211yesmaximal, characteristic
2C2×SD16×Dic47C211yesmaximal, characteristic
3#20245753C211yesmaximal, characteristic, complemented
4#20245749C211yesmaximal, characteristic
5#20243287C211yesmaximal, characteristic, complemented
6#20243285C211yesmaximal, characteristic, complemented
7#107×Dic47C211yesmaximal, characteristic, complemented
8#20243220C211yesmaximal, characteristic, complemented
9#20243215C211yesmaximal, characteristic
10#103×Dic47C211yesmaximal, characteristic, complemented
11C4×#13093948C211yesmaximal, characteristic, complemented
12#102×Dic47C211yesmaximal, characteristic
13C4×#13093945C211yesmaximal, characteristic
14#20243076C211yesmaximal, characteristic, complemented
15C2×C47×#440C211yesmaximal, characteristic
16C2×Q8×Dic47C2211yescharacteristic
17C2×Q8×Dic47C2211yescharacteristic
18C2×D4×Dic47C2211yescharacteristic
19C2×D4×Dic47C2211yescharacteristic
20#15689224C418yescomplemented
21SD16×Dic47C418yescomplemented
22C2×#13093958C2211yescharacteristic
23C2×#13093956C2211yescharacteristic
24C2×#13093948C2211yescharacteristic
25C2×#13093948C2211yescharacteristic
26C2×#13093945C2211yescharacteristic
27C2×#13093945C2211yescharacteristic
28C2×#13093934C2211yescharacteristic
29C2×#13093934C2211yescharacteristic
30C2×C4×C47⋊C8C2211yescharacteristic
31C2×C8×Dic47C2211yescharacteristic
32C2×C8×Dic47C2211yescharacteristic
33C4⋊C4×Dic47—21no—
34C4⋊C4×Dic47—21no—
35C4⋊C4×Dic47C2211yescharacteristic
36C4⋊C4×Dic47C2211yescharacteristic
37C4⋊C4×Dic47C2211yescharacteristic
38C4⋊C4×Dic47C2211yescharacteristic
39C4×C4⋊Dic47—21no—
40C4×C4⋊Dic47C2211yescharacteristic
41C4×C4⋊Dic47C2211yescharacteristic
42C22⋊C4×Dic47—21no—
43C22⋊C4×Dic47—21no—
44C4×C22⋊Dic47—21no—
45#15688969—21no—
46#15688969C2211yescharacteristic
47C2×C47⋊#95—21no—
48#15688886C2211yescharacteristic
49#15688886C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54C22×SD16×C47C2211yescharacteristic
55C2×C4×Q8×C47C2211yescharacteristic
56C2×C4×D4×C47C2211yescharacteristic
57C47×#440C418yescomplemented
58C2×#107×C47C2211yescharacteristic
59C2×#103×C47C2211yescharacteristic
60C2×#102×C47C2211yescharacteristic
61C2×#97×C47C2211yescharacteristic
62C23×Dic47—21no—
63C23×Dic47—21no—
64C22×C47⋊C8C2311yescharacteristic
65C22×C47⋊C8C2311yescharacteristic
66Q8×Dic47—22no—
67Q8×Dic47—22no—
68Q8×Dic47C2×C414yescomplemented
69Q8×Dic47C2×C414yescomplemented
70D4×Dic47—22no—
71D4×Dic47—22no—
72D4×Dic47C2×C414yes—
73D4×Dic47C2×C414yes—
74C2×C4⋊Dic47—21no—
75C2×C4⋊Dic47—21no—
76C2×C4⋊Dic47C2311yescharacteristic
77C2×C4⋊Dic47C2311yescharacteristic
78C2×C4⋊Dic47C2311yescharacteristic
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C22⋊Dic47—21no—
81C2×C22⋊Dic47—21no—
82C2×C4×Dic47—21no—
83C2×C4×Dic47—21no—
84C2×C4×Dic47—21no—
85C2×C4×Dic47—21no—
86C2×C4×Dic47—21no—
87C2×C4×Dic47—21no—
88C2×C4×Dic47—21no—
89C2×C4×Dic47—21no—
90C2×C4×Dic47C2311yescharacteristic
91C2×C4×Dic47C2311yescharacteristic
92#13093958C2×C414yescomplemented
93#13093956C2×C414yescomplemented
94#13093948C2×C414yescomplemented
95#13093948C2×C414yescomplemented
96#13093945C2×C414yes—
97#13093945C2×C414yes—
98#13093934—22no—
99#13093934C2×C414yescomplemented
100C4×C47⋊C8—22no—
101C8×Dic47—22no—
102C8×Dic47C2×C414yescomplemented
103C47⋊#95—21no—
104C47⋊#95—21no—
105C47⋊#95—21no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C47⋊#95—21no—
109C47⋊#95D411yescharacteristic
110C47⋊#95D411yescharacteristic
111C47⋊#95D411yescharacteristic
112C47⋊#95D411yescharacteristic
113C22×Q8×C47C2311yescharacteristic
114C22×D4×C47C2311yescharacteristic
115C23×C4×C47—21no—
116C2×SD16×C47C2×C414yes—
117C2×SD16×C47C2×C414yes—
118C2×SD16×C47C2×C414yes—
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C4×Q8×C47—22no—
122C4×Q8×C47C2×C414yescomplemented
123C4×D4×C47—22no—
124C4×D4×C47C2×C414yes—
125C2×C4⋊C4×C47—21no—
126C2×C4⋊C4×C47C2311yescharacteristic
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C22⋊C4×C47—21no—
129C2×C42×C47—21no—
130C2×C42×C47C2311yescharacteristic
131#107×C47C2×C414yescomplemented
132#103×C47C2×C414yescomplemented
133#102×C47C2×C414yes—
134#97×C47C2×C414yescomplemented
135C24×C47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47—21no—
139C2×Q8×C47C22×C412yes—
140C2×Q8×C47C22×C412yes—
141C2×Q8×C47C22×C412yes—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47C22×C412yes—
146C2×D4×C47C22×C412yes—
147C2×D4×C47C22×C412yes—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—24no—
152C22×C4×C47—81no—
153C22×C4×C47—81no—
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2411yescharacteristic
157C22×Dic47—21no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47—21no—
161C22×Dic47—24no—
162C22×Dic47—24no—
163C22×Dic47—81no—
164C22×Dic47—81no—
165C22×Dic47—81no—
166C22×Dic47—81no—
167C22×Dic47C2×D411yescharacteristic
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D411yescharacteristic
170C22×Dic47C2×D411yescharacteristic
171SD16×C47C42116yescomplemented
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47C22×C412yes—
175C2×C8×C47C22×C412yes—
176C2×C8×C47C22×C412yes—
177C2×C8×C47C22×C412yes—
178C4⋊C4×C47—24no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47C22×C412yes—
182C4⋊C4×C47C22×C412yes—
183C22⋊C4×C47—24no—
184C42×C47—24no—
185C42×C47C22×C412yes—
186C42×C47#4112yes—
187C22⋊Dic47—24no—
188C22⋊Dic47—24no—
189C4⋊Dic47—21no—
190C4⋊Dic47—21no—
191C4⋊Dic47—21no—
192C4⋊Dic47—21no—
193C4⋊Dic47—24no—
194C4⋊Dic47—24no—
195C4⋊Dic47C22×C412yes—
196C4⋊Dic47C22×C412yes—
197C4⋊Dic47C22×C412yes—
198C4⋊Dic47C22×C412yes—
199C4×Dic47—24no—
200C4×Dic47—24no—
201C4×Dic47—81no—
202C4×Dic47—81no—
203C4×Dic47—81no—
204C4×Dic47—81no—
205C4×Dic47—81no—
206C4×Dic47—81no—
207C4×Dic47C22×C412yes—
208C4×Dic47C22×C412yes—
209C4×Dic47#4112yes—
210C4×Dic47#4112yes—
211C2×C47⋊C8—21no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8C22×C412yes—
216C2×C47⋊C8C22×C412yes—
217C23×C47—22no—
218C23×C47—22no—
219C23×C47—22no—
220C23×C47—41no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47C22×D411yescharacteristic
225Q8×C47—22no—
226Q8×C47—22no—
227Q8×C47—22no—
228Q8×C47C2×C4214yes—
229D4×C47—22no—
230D4×C47—22no—
231D4×C47—22no—
232D4×C47C2×C4214yes—
233C2×C4×C47—22no—
234C2×C4×C47—22no—
235C2×C4×C47—22no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—41no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—84no—
247C2×C4×C47C4×D412yes—
248C2×C4×C47C4×D412yes—
249C2×C4×C47C23×C411yescharacteristic
250C2×C4×C47C23×C411yescharacteristic
251C2×C4×C47C23×C411yescharacteristic
252C2×C4×C47C2×#4111yescharacteristic
253C2×C4×C47C2×#4111yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×Dic47—21no—
256C2×Dic47—21no—
257C2×Dic47—21no—
258C2×Dic47—21no—
259C2×Dic47—21no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—22no—
264C2×Dic47—22no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—41no—
268C2×Dic47—41no—
269C2×Dic47—41no—
270C2×Dic47—41no—
271C2×Dic47—41no—
272C2×Dic47—41no—
273C2×Dic47—41no—
274C2×Dic47—41no—
275C2×Dic47—84no—
276C2×Dic47—84no—
277C2×Dic47C4×D412yes—
278C2×Dic47C4×D412yes—
279C2×Dic47C4×D412yes—
280C2×Dic47C4×D412yes—
281C8×C47—22no—
282C8×C47C2×C4214yes—
283C47⋊C8—22no—
284C47⋊C8—22no—
285#20504—471nomaximal, Sylow
286C22×C47—24no—
287C22×C47—42no—
288C22×C47—42no—
289C22×C47—42no—
290C22×C47—42no—
291C22×C47—42no—
292C22×C47—42no—
293C22×C47C2×C4×D411yescharacteristic
294C22×C47C2×C4×D411yescharacteristic
295C22×C47C2×C4×D411yescharacteristic
296C22×C47#57611yescharacteristic
297C22×C47#57711yescharacteristic
298C22×C47#57711yescharacteristic
299C22×C47#57811yescharacteristic
300C4×C47—22no—
301C4×C47—22no—
302C4×C47—24no—
303C4×C47—42no—
304C4×C47—42no—
305C4×C47C22×C4211yescharacteristic
306C4×C47C4×#4111yescharacteristic
307C4×C47C4×#4111yescharacteristic
308C4×C47C4×#4111yescharacteristic
309Dic47—22no—
310Dic47—22no—
311Dic47—22no—
312Dic47—22no—
313Dic47—42no—
314Dic47—42no—
315Dic47—42no—
316Dic47—42no—
317C2×#440—471no—
318C2×#440D4711yescharacteristic
319C2×C4×SD16—471no—
320#2276—471no—
321#2275—471no—
322#1776—471no—
323#1776—471no—
324C4×#107—471no—
325#1763—471no—
326#1762—471no—
327C4×#103—471no—
328C4×#103—471no—
329C4×#102—471no—
330C4×#102—471no—
331#1726—471no—
332C2×C47—44no—
333C2×C47C42×D411yescharacteristic
334C2×C47#294611yescharacteristic
335C2×C47#294611yescharacteristic
336C2×C47#294711yescharacteristic
337C2×C47#294711yescharacteristic
338C2×C47#294911yescharacteristic
339C2×C47#295111yescharacteristic
340C22×SD16C2×D4711yescharacteristic
341C2×C4×Q8—471no—
342C2×C4×Q8—471no—
343C2×C4×Q8C2×D4711yescharacteristic
344C2×C4×D4—471no—
345C2×C4×D4—471no—
346C2×C4×D4C2×D4711yescharacteristic
347#440—478no—
348#440Dic4718yescomplemented
349C4×SD16—478no—
350C2×#107—471no—
351C2×#107C2×D4711yescharacteristic
352C2×#106—471no—
353C2×#103—471no—
354C2×#103—471no—
355C2×#103C2×D4711yescharacteristic
356C2×#102—471no—
357C2×#102—471no—
358C2×#102C2×D4711yescharacteristic
359C2×#97—471no—
360C2×#97—471no—
361C2×#97C2×D4711yescharacteristic
362C2×C4×C8—471no—
363C2×C4×C8—471no—
364C2×C4×C8—471no—
365C4×C4⋊C4—471no—
366C4×C4⋊C4—471no—
367C4×C4⋊C4—471no—
368C4×C4⋊C4—471no—
369C4×C4⋊C4—471no—
370C4×C4⋊C4—471no—
371C4×C4⋊C4—941no—
372C4×C4⋊C4—941no—
373C4×C4⋊C4—941no—
374C4×C22⋊C4—941no—
375C4×C22⋊C4—941no—
376C4×C22⋊C4—941no—
377#376—471no—
378#376—941no—
379C2×#95—941no—
380#340—471no—
381#340—471no—
382#340—471no—
383#340—471no—
384#340—471no—
385#340—471no—
386C47#2050411yescharacteristic, complemented, Sylow
387C22×Q8C22×D4711yescharacteristic
388C22×D4C22×D4711yescharacteristic
389C23×C4—21no—
390C23×C4—941no—
391C23×C4—941no—
392C2×SD16C4×D4714yes—
393C2×SD16C4×D4714yes—
394C2×SD16C2×Dic4714yes—
395C22×C8—471no—
396C22×C8—471no—
397C22×C8C22×D4711yescharacteristic
398C22×C8C22×D4711yescharacteristic
399C4×Q8—22no—
400C4×Q8—474no—
401C4×Q8—474no—
402C4×Q8—942no—
403C4×Q8—942no—
404C4×Q8C2×Dic4714yescomplemented
405C4×D4—22no—
406C4×D4—474no—
407C4×D4—474no—
408C4×D4—942no—
409C4×D4—942no—
410C4×D4C2×Dic4714yes—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—471no—
413C2×C4⋊C4—471no—
414C2×C4⋊C4—471no—
415C2×C4⋊C4—471no—
416C2×C4⋊C4—941no—
417C2×C4⋊C4—941no—
418C2×C4⋊C4C22×D4711yescharacteristic
419C2×C4⋊C4C22×D4711yescharacteristic
420C2×C22⋊C4—21no—
421C2×C22⋊C4—941no—
422C2×C22⋊C4—941no—
423C2×C42—21no—
424C2×C42—471no—
425C2×C42—471no—
426C2×C42—941no—
427C2×C42—941no—
428C2×C42—941no—
429C2×C42—941no—
430C2×C42—941no—
431C2×C42—941no—
432C2×C42—941no—
433C2×C42—941no—
434C2×C42C22×D4711yescharacteristic
435#107—474no—
436#107C2×Dic4714yescomplemented
437#106—474no—
438#103—474no—
439#103—474no—
440#103C2×Dic4714yescomplemented
441#102—474no—
442#102—474no—
443#102C2×Dic4714yes—
444#97—474no—
445#97—942no—
446#97C2×Dic4714yescomplemented
447C4×C8—474no—
448C4×C8—942no—
449C4×C8—942no—
450#95—471no—
451#95—471no—
452#95—471no—
453#95—471no—
454#95—941no—
455#95—941no—
456#95—941no—
457#95—941no—
458#95—941no—
459#95—941no—
460C24—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8C2×C4×D4712yes—
465C2×Q8C2×C4×D4712yes—
466C2×Q8C22×Dic4712yes—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C2×C4×D4712yes—
471C2×D4C2×C4×D4712yes—
472C2×D4C22×Dic4712yes—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—471no—
480C22×C4—471no—
481C22×C4—471no—
482C22×C4—471no—
483C22×C4—944no—
484C22×C4—944no—
485C22×C4—941no—
486C22×C4—941no—
487C22×C4—941no—
488C22×C4—941no—
489C22×C4—3761no—
490C22×C4—3761no—
491C22×C4—3761no—
492C22×C4—3761no—
493C22×C4D4×D4711yescharacteristic
494C22×C4D4×D4711yescharacteristic
495C22×C4C23×D4711yescharacteristic
496SD16C4×Dic47116yescomplemented
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—472no—
500C2×C8—472no—
501C2×C8—941no—
502C2×C8—941no—
503C2×C8—941no—
504C2×C8—941no—
505C2×C8C2×C4×D4712yes—
506C2×C8C2×C4×D4712yes—
507C2×C8C22×Dic4712yes—
508C2×C8C22×Dic4712yes—
509C4⋊C4—24no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—472no—
513C4⋊C4—472no—
514C4⋊C4—472no—
515C4⋊C4—472no—
516C4⋊C4—944no—
517C4⋊C4—944no—
518C4⋊C4—941no—
519C4⋊C4—941no—
520C4⋊C4—941no—
521C4⋊C4—941no—
522C4⋊C4C22×Dic4712yes—
523C4⋊C4C22×Dic4712yes—
524C22⋊C4—24no—
525C22⋊C4—944no—
526C22⋊C4—944no—
527C42—24no—
528C42—472no—
529C42—472no—
530C42—472no—
531C42—472no—
532C42—944no—
533C42—944no—
534C42—3761no—
535C42—3761no—
536C42—3761no—
537C42—3761no—
538C42—3761no—
539C42—3761no—
540C42#1062535212yes—
541C42C22×Dic4712yes—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23C2×D4×D4711yescharacteristic
550Q8—22no—
551Q8—22no—
552Q8—22no—
553Q8C2×C4×Dic4714yes—
554D4—22no—
555D4—22no—
556D4—22no—
557D4C2×C4×Dic4714yes—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—84no—
572C2×C4—472no—
573C2×C4—472no—
574C2×C4—472no—
575C2×C4—472no—
576C2×C4—941no—
577C2×C4—941no—
578C2×C4—941no—
579C2×C4—941no—
580C2×C4—941no—
581C2×C4—941no—
582C2×C4—941no—
583C2×C4—941no—
584C2×C4—942no—
585C2×C4—942no—
586C2×C4—942no—
587C2×C4—942no—
588C2×C4—3764no—
589C2×C4—3764no—
590C2×C4—1881no—
591C2×C4—1881no—
592C2×C4—1881no—
593C2×C4—1881no—
594C2×C4—1881no—
595C2×C4—1881no—
596C2×C4—1881no—
597C2×C4—1881no—
598C2×C4D4×Dic4712yes—
599C2×C4D4×Dic4712yes—
600C2×C4C22×C4×D4711yescharacteristic
601C2×C4C22×C4×D4711yescharacteristic
602C2×C4C23×Dic4711yescharacteristic
603C2×C4#41×D4711yescharacteristic
604C2×C4#41×D4711yescharacteristic
605C2×C4C2×#1062535211yescharacteristic
606C8—22no—
607C8—942no—
608C8—942no—
609C8C2×C4×Dic4714yes—
610C22—24no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22C4×D4×D4711yescharacteristic
618C22C4×D4×D4711yescharacteristic
619C22C2×D4×Dic4711yescharacteristic
620C22#1568992711yescharacteristic
621C22#1568993211yescharacteristic
622C22#1568993311yescharacteristic
623C22#1568993911yescharacteristic
624C4—22no—
625C4—22no—
626C4—24no—
627C4—42no—
628C4—42no—
629C4—942no—
630C4—942no—
631C4—942no—
632C4—942no—
633C4—1882no—
634C4—1882no—
635C4—1882no—
636C4—1882no—
637C4C22×C4×Dic4711yescharacteristic
638C4C4×#1062535211yescharacteristic
639C4C4×#1062535211yescharacteristic
640C4#41×Dic4711yescharacteristic
641C2—44no—
642C2C4×D4×Dic4711yescharacteristic
643C2#2025221911yescharacteristic
644C2#2025222111yescharacteristic
645C2#2025222811yescharacteristic
646C2#2025223211yescharacteristic
647C2#2025224411yescharacteristic
648C2#2025226011yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC4×C47C22×C42
FrattiniC22×C4C23×D47
FittingC2×C47×#440C2
socleC23×C47C22×D4
prime radicalC22×D4×C47C23
cosocleC22×C4×C47C24
hypercenterC2×#440D47
hypocenterC47#20504
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
3. #20245753C2semidirect
5. #20243287C2semidirect
6. #20243285C2semidirect
7. #107×Dic47C2semidirect
8. #20243220C2semidirect
10. #103×Dic47C2semidirect
11. C4×#13093948C2semidirect
14. #20243076C2semidirect
20. #15689224C4semidirect
21. SD16×Dic47C4semidirect
57. C47×#440C4semidirect
68. Q8×Dic47C2×C4semidirect
69. Q8×Dic47C2×C4semidirect
92. #13093958C2×C4semidirect
93. #13093956C2×C4semidirect
94. #13093948C2×C4semidirect
95. #13093948C2×C4semidirect
99. #13093934C2×C4semidirect
102. C8×Dic47C2×C4semidirect
122. C4×Q8×C47C2×C4semidirect
131. #107×C47C2×C4semidirect
132. #103×C47C2×C4semidirect
134. #97×C47C2×C4semidirect
171. SD16×C47C42semidirect
348. #440Dic47semidirect
386. C47#20504semidirect
404. C4×Q8C2×Dic47semidirect
436. #107C2×Dic47semidirect
440. #103C2×Dic47semidirect
446. #97C2×Dic47semidirect
496. SD16C4×Dic47semidirect

Maximal subgroups

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

subgroupindex
C2×#156892242
C2×SD16×Dic472
#202457532
#202457492
#202432872
#202432852
#107×Dic472
#202432202
#202432152
#103×Dic472
C4×#130939482
#102×Dic472
C4×#130939452
#202430762
C2×C47×#4402
#2050447