Finite Group Databasebeta

← D47×#1487 #26182674

Subgroups — D47×#1487 #26182674

Order 12032.

1282 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D47C211yesmaximal, characteristic
2#431×D47C211yesmaximal, characteristic
3#423×D47C211yesmaximal, characteristic
4#20241818C211yesmaximal, characteristic, complemented
5#20241817C211yesmaximal, characteristic, complemented
6#20241816C211yesmaximal, characteristic, complemented
7#20241815C214yesmaximal, complemented
8Q8⋊C8×D47C214yesmaximal, complemented
9C47×#1487C211yesmaximal, characteristic, complemented
10C22×Q8×D47C411yescharacteristic
11C2×M16×D47—21no—
12C2×Q8×Dic47C411yescharacteristic
13C2×C4×Dic94—21no—
14C2×C4×Dic94C2211yescharacteristic
15C2×#13093989—21no—
16C2×#13093989C411yescharacteristic
17C4×Q8×D47—21no—
18C4×Q8×D47—21no—
19C4×Q8×D47—21no—
20C4×Q8×D47—21no—
21C4×Q8×D47C412yes—
22C4×Q8×D47C412yes—
23C4×Q8×D47C2212yes—
24C4×Q8×D47C2212yes—
25C2×C4⋊C4×D47—21no—
26C2×C4⋊C4×D47C411yescharacteristic
27C2×C42×D47—21no—
28C2×C42×D47C2211yescharacteristic
29#15689176C2211yescharacteristic
30#15689175—21no—
31#15689174C2212yes—
32#15689173—21no—
33#15689147C2211yescharacteristic
34#15689146—21no—
35#15689145—21no—
36#15689145C2212yes—
37C4⋊C8×D47—21no—
38C4⋊C8×D47—21no—
39C4⋊C8×D47C2212yes—
40C22⋊C8×D47—21no—
41C4×C8×D47C2212yes—
42#15688855C2214yescomplemented
43Q8⋊(C47⋊C8)C2214yescomplemented
44#15688853C2214yescomplemented
45C2×C4×Q8×C47C2211yescharacteristic
46C47×#431C2211yescharacteristic
47C47×#423C2211yescharacteristic
48C47×Q8⋊C8C2214yescomplemented
49C22×Dic94—21no—
50C22×Dic94C2×C411yescharacteristic
51C2×Q8×D47—28no—
52C2×Q8×D47—21no—
53C2×Q8×D47—21no—
54C2×Q8×D47C2×C412yes—
55C2×Q8×D47C2×C412yes—
56C22×C4×D47—21no—
57C22×C4×D47—21no—
58C22×C4×D47C2×C411yescharacteristic
59C22×C4×D47D411yescharacteristic
60C22×C4×D47D411yescharacteristic
61C2×#10625329—21no—
62C2×#10625324—22no—
63M16×D47—44no—
64C2×C8×D47—22no—
65C2×C8×D47—22no—
66Q8×Dic47—21no—
67Q8×Dic47—21no—
68Q8×Dic47C2×C412yes—
69Q8×Dic47C2×C412yes—
70C4×Dic94—21no—
71C4×Dic94—21no—
72C4×Dic94—22no—
73C4×Dic94—22no—
74C4×Dic94—22no—
75C4×Dic94—22no—
76C4×Dic94C2×C412yes—
77C4×Dic94C2312yes—
78#13093989—21no—
79#13093989—21no—
80#13093989—22no—
81#13093989—22no—
82#13093989—22no—
83#13093989—22no—
84#13093989C2×C412yes—
85#13093989C2×C412yes—
86C2×C4⋊Dic47—21no—
87C2×C4⋊Dic47C2×C411yescharacteristic
88C2×Dic47⋊C4—21no—
89C2×Dic47⋊C4—21no—
90C2×Dic47⋊C4—21no—
91C4⋊C4×D47—22no—
92C4⋊C4×D47—22no—
93C4⋊C4×D47—21no—
94C4⋊C4×D47—21no—
95C4⋊C4×D47—22no—
96C4⋊C4×D47—22no—
97C4⋊C4×D47C2×C412yes—
98C4⋊C4×D47C2×C412yes—
99C2×C4×Dic47—21no—
100C2×C4×Dic47—21no—
101C2×C4×Dic47—21no—
102C2×C4×Dic47C2×C411yescharacteristic
103C2×C4×Dic47D411yescharacteristic
104C2×C4×Dic47D411yescharacteristic
105C42×D47—22no—
106C42×D47—22no—
107C42×D47—22no—
108C42×D47—22no—
109C42×D47C2×C411yescharacteristic
110C42×D47C2×C411yescharacteristic
111C42×D47D411yescharacteristic
112C42×D47D411yescharacteristic
113C42×D47D411yescharacteristic
114C42×D47D411yescharacteristic
115C42×D47C2311yescharacteristic
116C42×D47C2311yescharacteristic
117C4⋊(C47⋊C8)—21no—
118C4⋊(C47⋊C8)—21no—
119C4⋊(C47⋊C8)C2312yes—
120Dic47⋊C8—22no—
121Dic47⋊C8—22no—
122Dic47⋊C8—22no—
123C22⋊(C47⋊C8)—21no—
124(C2×D47)⋊C8—22no—
125C4×C47⋊C8C2312yes—
126C8×Dic47—22no—
127C22×Q8×C47C2×C411yescharacteristic
128C2×M16×C47—21no—
129C4×Q8×C47—21no—
130C4×Q8×C47—21no—
131C4×Q8×C47C2×C412yes—
132C4×Q8×C47C2312yes—
133C2×C4⋊C4×C47—21no—
134C2×C4⋊C4×C47C2×C411yescharacteristic
135C2×C42×C47—21no—
136C2×C42×C47C2311yescharacteristic
137C4⋊C8×C47—21no—
138C4⋊C8×C47—21no—
139C4⋊C8×C47C2312yes—
140C22⋊C8×C47—21no—
141C4×C8×C47C2312yes—
142C23×D47C22⋊C411yescharacteristic
143C2×Q8×C47—24no—
144C2×Q8×C47—21no—
145C2×Q8×C47C22×C412yes—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C2×D411yescharacteristic
150C22×C4×C47C2×D411yescharacteristic
151C22×Dic47—21no—
152C22×Dic47—21no—
153C22×Dic47C22⋊C411yescharacteristic
154C22×Dic47C22⋊C411yescharacteristic
155C22×Dic47C22⋊C411yescharacteristic
156Q8×D47—28no—
157Q8×D47—28no—
158Q8×D47—24no—
159Q8×D47—24no—
160Q8×D47—24no—
161Q8×D47M1618yescomplemented
162C2×C4×D47—28no—
163C2×C4×D47—22no—
164C2×C4×D47—22no—
165C2×C4×D47—24no—
166C2×C4×D47—22no—
167C2×C4×D47—22no—
168C2×C4×D47—42no—
169C2×C4×D47—44no—
170C2×C4×D47C22⋊C411yescharacteristic
171C2×C4×D47C22⋊C411yescharacteristic
172C2×C4×D47C22⋊C411yescharacteristic
173C2×C4×D47C22⋊C411yescharacteristic
174C2×C4×D47C22⋊C411yescharacteristic
175C2×C4×D47C22⋊C411yescharacteristic
176C2×C4×D47SD1614yes—
177C2×C4×D47Q1614yes—
178C2×C4×D47C22×C411yescharacteristic
179C2×C4×D47C22×C411yescharacteristic
180C2×C4×D47C2×D411yescharacteristic
181C2×C4×D47C2×D411yescharacteristic
182C2×C4×D47C2×D411yescharacteristic
183C2×C4×D47C2×D411yescharacteristic
184C2×Dic94—28no—
185C2×Dic94—21no—
186C2×Dic94—22no—
187C2×Dic94—22no—
188C2×Dic94—24no—
189C2×Dic94C22×C412yes—
190M16×C47—42no—
191C2×C8×C47—22no—
192C2×C8×C47—22no—
193C4⋊C4×C47—22no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—22no—
196C4⋊C4×C47C22×C412yes—
197C42×C47—22no—
198C42×C47—22no—
199C42×C47C22×C411yescharacteristic
200C42×C47C2×D411yescharacteristic
201C42×C47C2×D411yescharacteristic
202C42×C47C2411yescharacteristic
203C4⋊Dic47—21no—
204C4⋊Dic47—22no—
205C4⋊Dic47—22no—
206C4⋊Dic47C22×C412yes—
207Dic47⋊C4—22no—
208Dic47⋊C4—22no—
209Dic47⋊C4—22no—
210Dic47⋊C4—22no—
211Dic47⋊C4—22no—
212Dic47⋊C4—22no—
213C4×Dic47—22no—
214C4×Dic47—22no—
215C4×Dic47—22no—
216C4×Dic47—22no—
217C4×Dic47—22no—
218C4×Dic47—22no—
219C4×Dic47C22⋊C411yescharacteristic
220C4×Dic47C22⋊C411yescharacteristic
221C4×Dic47C22⋊C411yescharacteristic
222C4×Dic47C22⋊C411yescharacteristic
223C4×Dic47C22⋊C411yescharacteristic
224C4×Dic47C22⋊C411yescharacteristic
225C4×Dic47C22×C411yescharacteristic
226C4×Dic47C22×C411yescharacteristic
227C4×Dic47C2×D411yescharacteristic
228C4×Dic47C2×D411yescharacteristic
229C4×Dic47C2×D411yescharacteristic
230C4×Dic47C2×D411yescharacteristic
231#10625329—42no—
232C2×C47⋊C8—22no—
233C2×C47⋊C8—22no—
234#10625324—44no—
235C8×D47—44no—
236C8×D47—44no—
237C23×C47C2×C22⋊C411yescharacteristic
238C22×D47—22no—
239C22×D47—22no—
240C22×D47#10314yes—
241C22×D47C2×C22⋊C411yescharacteristic
242C22×D47C2×C22⋊C411yescharacteristic
243Q8×C47—24no—
244Q8×C47—22no—
245Q8×C47C2×M1614yescomplemented
246C2×C4×C47—24no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—41no—
251C2×C4×C47—42no—
252C2×C4×C47C2×C22⋊C411yescharacteristic
253C2×C4×C47C2×C22⋊C411yescharacteristic
254C2×C4×C47C2×C22⋊C411yescharacteristic
255C2×C4×C47C2×SD1612yes—
256C2×C4×C47C2×Q1612yes—
257C2×C4×C47C23×C411yescharacteristic
258C2×C4×C47C22×D411yescharacteristic
259C2×C4×C47C22×D411yescharacteristic
260C2×Dic47—24no—
261C2×Dic47—22no—
262C2×Dic47—22no—
263C2×Dic47—22no—
264C2×Dic47—41no—
265C2×Dic47—42no—
266C2×Dic47#10314yes—
267C2×Dic47C2×C22⋊C411yescharacteristic
268C2×Dic47C2×C22⋊C411yescharacteristic
269C2×Dic47C2×C22⋊C411yescharacteristic
270C2×Dic47C2×C22⋊C411yescharacteristic
271C2×Dic47C2×C22⋊C411yescharacteristic
272C2×Dic47C2×C22⋊C411yescharacteristic
273C4×D47—28no—
274C4×D47—28no—
275C4×D47—22no—
276C4×D47—22no—
277C4×D47—22no—
278C4×D47—22no—
279C4×D47—22no—
280C4×D47—41no—
281C4×D47—41no—
282C4×D47—44no—
283C4×D47—44no—
284C4×D47#10314yes—
285C4×D47#10314yes—
286C4×D47C2×M1614yes—
287C4×D47C2×SD1612yes—
288C4×D47C2×SD1612yes—
289C4×D47C2×Q1612yes—
290C4×D47C2×Q1612yes—
291Dic94—28no—
292Dic94—24no—
293Dic94—22no—
294Dic94—28no—
295Dic94C2×M1614yescomplemented
296C8×C47—42no—
297C8×C47—42no—
298C47⋊C8—42no—
299C47⋊C8—42no—
300C2×#1487—471nomaximal, Sylow
301C22×C47—21no—
302C22×C47—21no—
303C22×C47C2×#10312yes—
304C22×C47C22×C22⋊C411yescharacteristic
305C2×D47—21no—
306C2×D47—21no—
307C2×D47—28no—
308C2×D47#40712yes—
309C2×D47C2×#10312yes—
310C2×D47C2×#10312yes—
311C2×D47#42112yes—
312C4×C47—24no—
313C4×C47—21no—
314C4×C47—21no—
315C4×C47—21no—
316C4×C47—42no—
317C4×C47C2×#10312yes—
318C4×C47C22×M1612yes—
319C4×C47C22×SD1611yescharacteristic
320C4×C47C22×Q1611yescharacteristic
321Dic47—21no—
322Dic47—24no—
323Dic47—21no—
324Dic47—21no—
325Dic47—42no—
326Dic47#40712yes—
327Dic47C2×#10312yes—
328Dic47C2×#10312yes—
329C22×C4×Q8—471no—
330C2×#431—471no—
331C2×#423—471no—
332#1487—471no—
333#1487—471no—
334#1487—474no—
335#1487—471no—
336#1487D4711yescharacteristic, direct product factor
337C2×Q8⋊C8—474no—
338C2×C47—22no—
339C2×C47C2×#40711yescharacteristic
340C2×C47C22×#10311yescharacteristic
341C2×C47C2×#42111yescharacteristic
342D47—22no—
343D47#148714yesdirect product factor
344C23×Q8—471no—
345C22×M16—941no—
346C2×C4×Q8—471no—
347C2×C4×Q8—472no—
348C2×C4×Q8—472no—
349C2×C4×Q8—472no—
350C2×C4×Q8—472no—
351C2×C4×Q8—471no—
352C2×C4×Q8—471no—
353C2×C4×Q8—941no—
354C2×C4×Q8—941no—
355C2×C4×Q8—941no—
356C2×C4×Q8—941no—
357C2×C4×Q8—941no—
358C2×C4×Q8—941no—
359C2×C4×Q8C2×D4711yescharacteristic
360C22×C4⋊C4—471no—
361C22×C4⋊C4—941no—
362C22×C42—471no—
363C22×C42—941no—
364#431—471no—
365#431—472no—
366#431—941no—
367#431—941no—
368#431C2×D4711yescharacteristic
369#423—471no—
370#423—472no—
371#423—941no—
372#423—941no—
373#423C2×D4711yescharacteristic
374C2×C4⋊C8—472no—
375C2×C4⋊C8—941no—
376C2×C4⋊C8—941no—
377C2×C22⋊C8—941no—
378C2×C4×C8—472no—
379Q8⋊C8—474no—
380Q8⋊C8—474no—
381Q8⋊C8—474no—
382Q8⋊C8C2×D4714yescomplemented
383C47C2×#148711yescharacteristic, complemented, Sylow
384C22×Q8—472no—
385C22×Q8—472no—
386C22×Q8—471no—
387C22×Q8—941no—
388C22×Q8—941no—
389C22×Q8—941no—
390C22×Q8—948no—
391C22×Q8C4×D4711yescharacteristic
392C23×C4—471no—
393C23×C4—471no—
394C23×C4—471no—
395C23×C4—941no—
396C23×C4—941no—
397C2×M16—21no—
398C2×M16—942no—
399C2×M16—941no—
400C2×M16—1884no—
401C22×C8—942no—
402C22×C8—942no—
403C4×Q8—21no—
404C4×Q8—21no—
405C4×Q8—472no—
406C4×Q8—472no—
407C4×Q8—472no—
408C4×Q8—472no—
409C4×Q8—472no—
410C4×Q8—472no—
411C4×Q8—942no—
412C4×Q8—942no—
413C4×Q8—942no—
414C4×Q8—942no—
415C4×Q8—942no—
416C4×Q8—942no—
417C4×Q8—941no—
418C4×Q8—941no—
419C4×Q8—942no—
420C4×Q8—942no—
421C4×Q8—941no—
422C4×Q8—941no—
423C4×Q8—941no—
424C4×Q8—941no—
425C4×Q8C4×D4712yes—
426C4×Q8C22×D4712yes—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—471no—
429C2×C4⋊C4—472no—
430C2×C4⋊C4—472no—
431C2×C4⋊C4—941no—
432C2×C4⋊C4—941no—
433C2×C4⋊C4—942no—
434C2×C4⋊C4—942no—
435C2×C4⋊C4—942no—
436C2×C4⋊C4—942no—
437C2×C4⋊C4—941no—
438C2×C4⋊C4—941no—
439C2×C4⋊C4—941no—
440C2×C4⋊C4—941no—
441C2×C4⋊C4C4×D4711yescharacteristic
442C2×C42—21no—
443C2×C42—471no—
444C2×C42—471no—
445C2×C42—471no—
446C2×C42—471no—
447C2×C42—471no—
448C2×C42—471no—
449C2×C42—471no—
450C2×C42—471no—
451C2×C42—471no—
452C2×C42—471no—
453C2×C42—471no—
454C2×C42—942no—
455C2×C42—942no—
456C2×C42—942no—
457C2×C42—942no—
458C2×C42—941no—
459C2×C42—941no—
460C2×C42—941no—
461C2×C42C22×D4711yescharacteristic
462C4⋊C8—21no—
463C4⋊C8—21no—
464C4⋊C8—472no—
465C4⋊C8—942no—
466C4⋊C8—942no—
467C4⋊C8—942no—
468C4⋊C8—941no—
469C4⋊C8—941no—
470C4⋊C8C22×D4712yes—
471C22⋊C8—21no—
472C22⋊C8—942no—
473C22⋊C8—941no—
474C4×C8—472no—
475C4×C8—942no—
476C4×C8C22×D4712yes—
477C24—471no—
478C2×Q8—24no—
479C2×Q8—21no—
480C2×Q8—478no—
481C2×Q8—472no—
482C2×Q8—942no—
483C2×Q8—942no—
484C2×Q8—944no—
485C2×Q8—948no—
486C2×Q8—944no—
487C2×Q8—944no—
488C2×Q8—948no—
489C2×Q8—948no—
490C2×Q8—944no—
491C2×Q8—941no—
492C2×Q8C2×C4×D4712yes—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—471no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—471no—
501C22×C4—471no—
502C22×C4—471no—
503C22×C4—471no—
504C22×C4—471no—
505C22×C4—471no—
506C22×C4—471no—
507C22×C4—471no—
508C22×C4—471no—
509C22×C4—471no—
510C22×C4—471no—
511C22×C4—471no—
512C22×C4—944no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—948no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—941no—
519C22×C4—941no—
520C22×C4—1882no—
521C22×C4—1884no—
522C22×C4C2×C4×D4711yescharacteristic
523C22×C4D4×D4711yescharacteristic
524C22×C4D4×D4711yescharacteristic
525M16—42no—
526M16—1884no—
527M16—1882no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—942no—
531C2×C8—942no—
532C2×C8—1884no—
533C2×C8—1884no—
534C4⋊C4—22no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—472no—
538C4⋊C4—942no—
539C4⋊C4—942no—
540C4⋊C4—942no—
541C4⋊C4—942no—
542C4⋊C4—942no—
543C4⋊C4—942no—
544C4⋊C4—942no—
545C4⋊C4—941no—
546C4⋊C4—942no—
547C4⋊C4C2×C4×D4712yes—
548C42—22no—
549C42—22no—
550C42—471no—
551C42—471no—
552C42—471no—
553C42—471no—
554C42—471no—
555C42—471no—
556C42—471no—
557C42—471no—
558C42—471no—
559C42—471no—
560C42—471no—
561C42—471no—
562C42—942no—
563C42—942no—
564C42—942no—
565C42—942no—
566C42—942no—
567C42—942no—
568C42C2×C4×D4711yescharacteristic
569C42D4×D4711yescharacteristic
570C42D4×D4711yescharacteristic
571C42C23×D4711yescharacteristic
572C23—471no—
573C23—471no—
574C23—474no—
575C23—942no—
576C23—942no—
577C23C22⋊C4×D4711yescharacteristic
578Q8—24no—
579Q8—22no—
580Q8—474no—
581Q8—948no—
582Q8—948no—
583Q8—944no—
584Q8—942no—
585Q8M16×D4714yescomplemented
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—42no—
592C2×C4—471no—
593C2×C4—471no—
594C2×C4—471no—
595C2×C4—474no—
596C2×C4—474no—
597C2×C4—474no—
598C2×C4—474no—
599C2×C4—472no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—472no—
603C2×C4—471no—
604C2×C4—471no—
605C2×C4—471no—
606C2×C4—942no—
607C2×C4—942no—
608C2×C4—942no—
609C2×C4—942no—
610C2×C4—948no—
611C2×C4—948no—
612C2×C4—942no—
613C2×C4—944no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—1881no—
618C2×C4—1881no—
619C2×C4—1884no—
620C2×C4—1884no—
621C2×C4—1881no—
622C2×C4—1882no—
623C2×C4C22⋊C4×D4711yescharacteristic
624C2×C4C22⋊C4×D4711yescharacteristic
625C2×C4C22⋊C4×D4711yescharacteristic
626C2×C4SD16×D4712yes—
627C2×C4Q16×D4712yes—
628C2×C4C22×C4×D4711yescharacteristic
629C2×C4C2×D4×D4711yescharacteristic
630C2×C4C2×D4×D4711yescharacteristic
631C8—42no—
632C8—42no—
633C8—1882no—
634C8—1882no—
635C22—21no—
636C22—21no—
637C22—472no—
638C22—472no—
639C22—472no—
640C22—472no—
641C22—948no—
642C22—941no—
643C22—941no—
644C22#103×D4712yes—
645C22C2×C22⋊C4×D4711yescharacteristic
646C4—21no—
647C4—21no—
648C4—24no—
649C4—21no—
650C4—42no—
651C4—472no—
652C4—472no—
653C4—472no—
654C4—941no—
655C4—941no—
656C4—941no—
657C4—944no—
658C4—1882no—
659C4#103×D4712yes—
660C4C2×M16×D4712yes—
661C4C2×SD16×D4711yescharacteristic
662C4C2×Q16×D4711yescharacteristic
663C2—22no—
664C2—474no—
665C2—942no—
666C2#407×D4711yescharacteristic
667C2C2×#103×D4711yescharacteristic
668C2#421×D4711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC42C23×D47
FittingC47×#1487C2
socleC22×C47C22×C22⋊C4
prime radicalC23×D47C22⋊C4
cosocleC42×C47C24
hypercenter#1487D47
hypocenterC47C2×#1487
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1487

Complements

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

NH ≅ G/Ntype
4. #20241818C2semidirect
5. #20241817C2semidirect
6. #20241816C2semidirect
7. #20241815C2semidirect
8. Q8⋊C8×D47C2semidirect
9. C47×#1487C2semidirect
42. #15688855C22semidirect
43. Q8⋊(C47⋊C8)C22semidirect
44. #15688853C22semidirect
48. C47×Q8⋊C8C22semidirect
161. Q8×D47M16semidirect
245. Q8×C47C2×M16semidirect
295. Dic94C2×M16semidirect
336. #1487D47direct (N × H)
343. D47#1487direct (N × H)
382. Q8⋊C8C2×D47semidirect
383. C47C2×#1487semidirect
585. Q8M16×D47semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D472
#431×D472
#423×D472
#202418182
#202418172
#202418162
#202418152
Q8⋊C8×D472
C47×#14872
C2×#148747