Finite Group Databasebeta

← #32014364

Subgroups — #32014364

Order 18176.

1280 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986052C211yesmaximal, characteristic, complemented
2C2×C22⋊C8×D71C211yesmaximal, characteristic
3C2×C4×(C2×D71)⋊C4C211yesmaximal, characteristic
4#22588947C212yesmaximal, complemented
5#22588944C212yesmaximal, complemented
6#22588519C212yesmaximal, complemented
7#22588318C211yesmaximal, characteristic, complemented
8#22588249C211yesmaximal, characteristic
9#22588110C212yesmaximal, complemented
10C22⋊C8×Dic71C211yesmaximal, characteristic, complemented
11C71×#1817C211yesmaximal, characteristic, complemented
12C23×C4×D71C2211yescharacteristic
13C22×C8×D71C2212yes—
14C22×(C2×D71)⋊C4C411yescharacteristic
15C22×(C2×D71)⋊C4C411yescharacteristic
16C22×C4×Dic71C2211yescharacteristic
17#17986052—24no—
18C2×C4⋊(C71⋊C8)C2212yescomplemented
19C2×Dic71⋊C8C2212yescomplemented
20C2×C22⋊(C71⋊C8)C2211yescharacteristic
21C2×C22⋊(C71⋊C8)C2211yescharacteristic
22C2×(C2×D71)⋊C8C2212yes—
23C2×(C2×D71)⋊C8C2212yes—
24C2×(C2×D71)⋊C8C2212yes—
25C22⋊C8×D71—24no—
26C2×C4×C71⋊C8C2212yescomplemented
27C2×C8×Dic71C2212yescomplemented
28C4×(C2×D71)⋊C4C411yescharacteristic
29C4×(C2×D71)⋊C4C411yescharacteristic
30C4×(C2×D71)⋊C4C411yescharacteristic
31C4×(C2×D71)⋊C4C411yescharacteristic
32C4×(C2×D71)⋊C4C2211yescharacteristic
33C4×(C2×D71)⋊C4C2211yescharacteristic
34C4×(C2×D71)⋊C4C2211yescharacteristic
35C4×(C2×D71)⋊C4C2211yescharacteristic
36C2×C71⋊#95C411yescharacteristic
37C2×C71⋊#95C411yescharacteristic
38#17985753C2212yescomplemented
39#17985753C2212yescomplemented
40C22×C42×C71C2211yescharacteristic
41C2×C22⋊C8×C71C2211yescharacteristic
42C2×C22⋊C8×C71C2211yescharacteristic
43#336×C71C2212yescomplemented
44#336×C71C2212yescomplemented
45C24×D71C2×C411yescharacteristic
46C23×Dic71C2×C411yescharacteristic
47C23×Dic71C2×C411yescharacteristic
48C23×Dic71C2×C411yescharacteristic
49C22×C4×D71—24no—
50C22×C4×D71—22no—
51C22×C4×D71—22no—
52C22×C4×D71—42no—
53C22×C4×D71C2×C411yescharacteristic
54C22×C4×D71C2×C411yescharacteristic
55C22×C4×D71C2311yescharacteristic
56C22×C4×D71C2311yescharacteristic
57C22×C71⋊C8C2312yes—
58C22×C71⋊C8C2312yes—
59C2×C8×D71—24no—
60C2×C8×D71—24no—
61C2×C8×D71—42no—
62C2×(C2×D71)⋊C4—24no—
63C2×(C2×D71)⋊C4C818yescomplemented
64C2×(C2×D71)⋊C4C2×C411yescharacteristic
65C2×(C2×D71)⋊C4C2×C411yescharacteristic
66C2×(C2×D71)⋊C4C2×C411yescharacteristic
67C2×(C2×D71)⋊C4C2×C411yescharacteristic
68C2×(C2×D71)⋊C4C2×C411yescharacteristic
69C2×(C2×D71)⋊C4C2×C411yescharacteristic
70C2×(C2×D71)⋊C4C2×C411yescharacteristic
71C2×(C2×D71)⋊C4C2×C411yescharacteristic
72C2×C4×Dic71—42no—
73C2×C4×Dic71C2×C411yescharacteristic
74C2×C4×Dic71C2×C411yescharacteristic
75C2×C4×Dic71C2311yescharacteristic
76C2×C4×Dic71C2311yescharacteristic
77C4⋊(C71⋊C8)—24no—
78Dic71⋊C8—42no—
79C22⋊(C71⋊C8)—22no—
80C22⋊(C71⋊C8)D414yes—
81(C2×D71)⋊C8—24no—
82(C2×D71)⋊C8—24no—
83(C2×D71)⋊C8—42no—
84C4×C71⋊C8—24no—
85C8×Dic71—42no—
86C71⋊#95C2×C411yescharacteristic
87C71⋊#95C2×C411yescharacteristic
88C71⋊#95C2×C411yescharacteristic
89C71⋊#95C2×C411yescharacteristic
90C71⋊#95C2×C411yescharacteristic
91C71⋊#95C2×C411yescharacteristic
92C71⋊#95C2×C411yescharacteristic
93C71⋊#95C2×C411yescharacteristic
94C23×C4×C71C2×C411yescharacteristic
95C23×C4×C71C2×C411yescharacteristic
96C23×C4×C71C2311yescharacteristic
97C22×C8×C71C2312yes—
98C22×C8×C71C2312yes—
99C2×C42×C71—22no—
100C2×C42×C71—22no—
101C2×C42×C71C2×C411yescharacteristic
102C2×C42×C71C2×C411yescharacteristic
103C2×C42×C71C2311yescharacteristic
104C2×C42×C71C2311yescharacteristic
105C22⋊C8×C71—22no—
106C22⋊C8×C71—22no—
107C23×D71—22no—
108C23×D71—22no—
109C23×D71—22no—
110C23×D71—22no—
111C23×D71—41no—
112C23×D71—41no—
113C23×D71C2×C814yes—
114C23×D71C22×C411yescharacteristic
115C23×D71C22×C411yescharacteristic
116C22×Dic71—22no—
117C22×Dic71—22no—
118C22×Dic71—22no—
119C22×Dic71—22no—
120C22×Dic71—41no—
121C22×Dic71—41no—
122C22×Dic71—41no—
123C22×Dic71—41no—
124C22×Dic71C2×C814yescomplemented
125C22×Dic71C22×C411yescharacteristic
126C22×Dic71C22×C411yescharacteristic
127C22×Dic71C22×C411yescharacteristic
128C22×Dic71C22×C411yescharacteristic
129C22×Dic71C22×C411yescharacteristic
130C22×Dic71C22×C411yescharacteristic
131C2×C4×D71—21no—
132C2×C4×D71—21no—
133C2×C4×D71—22no—
134C2×C4×D71—22no—
135C2×C4×D71—22no—
136C2×C4×D71—22no—
137C2×C4×D71—21no—
138C2×C4×D71—22no—
139C2×C4×D71—21no—
140C2×C4×D71—22no—
141C2×C4×D71—22no—
142C2×C4×D71—48no—
143C2×C4×D71—48no—
144C2×C4×D71—41no—
145C2×C4×D71—41no—
146C2×C4×D71#4114yes—
147C2×C71⋊C8—22no—
148C2×C71⋊C8—22no—
149C2×C71⋊C8—22no—
150C2×C71⋊C8—22no—
151C2×C71⋊C8—22no—
152C2×C71⋊C8C2×D414yes—
153C8×D71—48no—
154(C2×D71)⋊C4—22no—
155(C2×D71)⋊C4—22no—
156(C2×D71)⋊C4—22no—
157(C2×D71)⋊C4C2×C814yes—
158(C2×D71)⋊C4C2×C814yes—
159(C2×D71)⋊C4C2×C814yescomplemented
160(C2×D71)⋊C4C2×C814yescomplemented
161(C2×D71)⋊C4M1614yes—
162C4×Dic71—22no—
163C4×Dic71—22no—
164C4×Dic71—41no—
165C4×Dic71—41no—
166C24×C71C22×C411yescharacteristic
167C22×C4×C71—22no—
168C22×C4×C71—22no—
169C22×C4×C71—22no—
170C22×C4×C71—22no—
171C22×C4×C71—22no—
172C22×C4×C71—22no—
173C22×C4×C71—41no—
174C22×C4×C71C2×C814yescomplemented
175C22×C4×C71C22×C411yescharacteristic
176C22×C4×C71C22×C411yescharacteristic
177C22×C4×C71C22×C411yescharacteristic
178C22×C4×C71C22×C411yescharacteristic
179C22×C4×C71C22×C411yescharacteristic
180C22×C4×C71C2×D412yes—
181C22×C4×C71#4112yes—
182C22×C4×C71C2411yescharacteristic
183C2×C8×C71—22no—
184C2×C8×C71—22no—
185C2×C8×C71—22no—
186C2×C8×C71—22no—
187C2×C8×C71—22no—
188C2×C8×C71—22no—
189C42×C71—22no—
190C42×C71—22no—
191C42×C71—21no—
192C42×C71—21no—
193C42×C71—21no—
194C42×C71—21no—
195C23×C71—21no—
196C23×C71—21no—
197C23×C71—21no—
198C23×C71—21no—
199C23×C71C4×D412yes—
200C23×C71C22×C812yes—
201C23×C71#13112yes—
202C23×C71C23×C411yescharacteristic
203C22×D71—21no—
204C22×D71—21no—
205C22×D71—21no—
206C22×D71—21no—
207C22×D71—21no—
208C22×D71—21no—
209C22×D71—21no—
210C22×D71—21no—
211C22×D71—21no—
212C22×D71—21no—
213C22×D71—28no—
214C22×D71—28no—
215C22×D71—44no—
216C22×D71—44no—
217C22×D71—44no—
218C22×D71—44no—
219C22×D71—44no—
220C22×D71#11712yes—
221C22×D71C22×C812yes—
222C22×D71C22×C812yes—
223C22×D71C2×M1612yes—
224C2×C4×C71—21no—
225C2×C4×C71—21no—
226C2×C4×C71—21no—
227C2×C4×C71—21no—
228C2×C4×C71—21no—
229C2×C4×C71—21no—
230C2×C4×C71—21no—
231C2×C4×C71—21no—
232C2×C4×C71—28no—
233C2×C4×C71—24no—
234C2×C4×C71—24no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—44no—
239C2×C4×C71C4×D412yes—
240C2×C4×C71C22×C812yes—
241C2×C4×C71C22×C812yes—
242C2×C4×C71C2×M1612yes—
243C2×C4×C71C22×D411yescharacteristic
244C2×C4×C71C2×#4112yes—
245C2×C4×C71C2×#4111yescharacteristic
246C2×C4×C71H(5,𝔽2)12yes—
247C2×Dic71—21no—
248C2×Dic71—21no—
249C2×Dic71—21no—
250C2×Dic71—21no—
251C2×Dic71—21no—
252C2×Dic71—21no—
253C2×Dic71—21no—
254C2×Dic71—21no—
255C2×Dic71—21no—
256C2×Dic71—21no—
257C2×Dic71—21no—
258C2×Dic71—21no—
259C2×Dic71—21no—
260C2×Dic71—21no—
261C2×Dic71—44no—
262C2×Dic71—44no—
263C2×Dic71—44no—
264C2×Dic71#11712yes—
265C2×Dic71C22×C812yes—
266C2×Dic71C22×C812yes—
267C2×Dic71C2×M1612yes—
268C4×D71—24no—
269C4×D71—24no—
270C4×D71—44no—
271C4×D71—44no—
272C4×D71—42no—
273C4×D71—42no—
274C8×C71—42no—
275C8×C71—42no—
276C71⋊C8—24no—
277C71⋊C8—42no—
278C22×C71—22no—
279C22×C71—22no—
280C22×C71—22no—
281C22×C71—22no—
282C22×C71—22no—
283C22×C71—22no—
284C22×C71C8×D414yes—
285C22×C71C2×#11711yescharacteristic
286C22×C71C2×C4×D411yescharacteristic
287C22×C71#51811yescharacteristic
288C22×C71C23×C811yescharacteristic
289C22×C71C22×M1611yescharacteristic
290C22×C71C2×#13111yescharacteristic
291C22×C71#56811yescharacteristic
292C2×D71—22no—
293C2×D71—22no—
294C2×D71—22no—
295C2×D71—22no—
296C2×D71—22no—
297C2×D71—22no—
298C2×D71—22no—
299C2×D71—22no—
300C2×D71—22no—
301C2×D71—416no—
302C2×D71—41no—
303C2×D71—41no—
304C2×D71—41no—
305C2×D71—41no—
306C2×D71#43114yescomplemented
307C4×C71—22no—
308C4×C71—22no—
309C4×C71—22no—
310C4×C71—22no—
311C4×C71—41no—
312C4×C71#54612yes—
313C4×C71#55112yes—
314Dic71—22no—
315Dic71—22no—
316Dic71—22no—
317Dic71—22no—
318Dic71—41no—
319Dic71—41no—
320#22552—711nomaximal, Sylow
321C2×C71—24no—
322C2×C71#234211yescharacteristic
323C2×C71C2×#43111yescharacteristic
324C2×C71#292411yescharacteristic
325C2×C71C2×C8×D411yescharacteristic
326C2×C71D4×M1611yescharacteristic
327C2×C71#297211yescharacteristic
328C2×C71#297411yescharacteristic
329D71—24no—
330D71—42no—
331C2×#431—711no—
332C22×C22⋊C8—711no—
333C2×C4×C22⋊C4—711no—
334#1923—712no—
335#1923—712no—
336#1850—712no—
337#1817D7111yescharacteristic, complemented
338#1797—711no—
339#1779—711no—
340C8×C22⋊C4—712no—
341C4×C22⋊C8—711no—
342C71#2255211yescharacteristic, complemented, Sylow
343C24×C4—711no—
344C23×C8—712no—
345C22×C22⋊C4—711no—
346C22×C22⋊C4—711no—
347C22×C42—711no—
348C22×C42C2×D7111yescharacteristic
349#431—1424no—
350C2×C4⋊C8—712no—
351C2×C4⋊C8—712no—
352C2×C22⋊C8—712no—
353C2×C22⋊C8—711no—
354C2×C22⋊C8—711no—
355C2×C22⋊C8—712no—
356C2×C22⋊C8—712no—
357C2×C22⋊C8—1424no—
358C2×C22⋊C8C2×D7111yescharacteristic
359C2×C22⋊C8C2×D7111yescharacteristic
360C2×C4×C8—712no—
361C2×C4×C8—712no—
362C4×C22⋊C4—711no—
363C4×C22⋊C4—711no—
364C4×C22⋊C4—711no—
365C4×C22⋊C4—711no—
366C4×C22⋊C4—711no—
367C4×C22⋊C4—711no—
368C4×C22⋊C4—711no—
369C4×C22⋊C4—711no—
370C2×#95—711no—
371C2×#95—711no—
372#336—712no—
373#336—712no—
374#336C2×D7112yescomplemented
375#336C2×D7112yescomplemented
376C25—711no—
377C23×C4—2842no—
378C23×C4—711no—
379C23×C4—711no—
380C23×C4—711no—
381C23×C4—711no—
382C23×C4—711no—
383C23×C4—711no—
384C23×C4—711no—
385C23×C4—1424no—
386C23×C4—1422no—
387C23×C4—1422no—
388C23×C4C4×D7111yescharacteristic
389C23×C4C4×D7111yescharacteristic
390C23×C4C22×D7111yescharacteristic
391C22×C8—2842no—
392C22×C8—712no—
393C22×C8—712no—
394C22×C8—1424no—
395C22×C8—1424no—
396C22×C8C22×D7112yes—
397C22×C8C22×D7112yes—
398C2×C22⋊C4—718no—
399C2×C22⋊C4—711no—
400C2×C22⋊C4—711no—
401C2×C22⋊C4—711no—
402C2×C22⋊C4—711no—
403C2×C22⋊C4—711no—
404C2×C22⋊C4—711no—
405C2×C22⋊C4—711no—
406C2×C22⋊C4—711no—
407C2×C22⋊C4—1424no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—2842no—
411C2×C42—711no—
412C2×C42—711no—
413C2×C42—711no—
414C2×C42—711no—
415C2×C42C4×D7111yescharacteristic
416C2×C42C4×D7111yescharacteristic
417C2×C42C22×D7111yescharacteristic
418C2×C42C22×D7111yescharacteristic
419C4⋊C8—2842no—
420C4⋊C8—1424no—
421C22⋊C8—22no—
422C22⋊C8—22no—
423C22⋊C8—2842no—
424C22⋊C8—714no—
425C22⋊C8—1424no—
426C22⋊C8—1424no—
427C22⋊C8—1422no—
428C4×C8—2842no—
429C4×C8—1424no—
430#95—711no—
431#95—711no—
432#95—711no—
433#95—711no—
434#95—711no—
435#95—711no—
436#95—711no—
437#95—711no—
438C24—2841no—
439C24—2841no—
440C24—714no—
441C24—711no—
442C24—711no—
443C24—1422no—
444C24—1422no—
445C24—1422no—
446C24—1422no—
447C24C2×C4×D7111yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—41no—
455C22×C4—2848no—
456C22×C4—2848no—
457C22×C4—2841no—
458C22×C4—2841no—
459C22×C4—2841no—
460C22×C4—2841no—
461C22×C4—2841no—
462C22×C4—2841no—
463C22×C4—714no—
464C22×C4—711no—
465C22×C4—711no—
466C22×C4—711no—
467C22×C4—711no—
468C22×C4—714no—
469C22×C4—711no—
470C22×C4—711no—
471C22×C4—1422no—
472C22×C4—1422no—
473C22×C4—1422no—
474C22×C4—1422no—
475C22×C4—1422no—
476C22×C4—1422no—
477C22×C4—1421no—
478C22×C4—1422no—
479C22×C4—1421no—
480C22×C4—1422no—
481C22×C4—1422no—
482C22×C4—1422no—
483C22×C4—1421no—
484C22×C4—1421no—
485C22×C4—1422no—
486C22×C4C8×D7114yescomplemented
487C22×C4C2×C4×D7111yescharacteristic
488C22×C4C2×C4×D7111yescharacteristic
489C22×C4C2×C4×D7111yescharacteristic
490C22×C4C2×C4×D7111yescharacteristic
491C22×C4C2×C4×D7111yescharacteristic
492C22×C4D4×D7112yes—
493C22×C4#1176586412yes—
494C22×C4C23×D7111yescharacteristic
495C2×C8—22no—
496C2×C8—22no—
497C2×C8—22no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—2848no—
502C2×C8—714no—
503C2×C8—1422no—
504C2×C8—1422no—
505C2×C8—1422no—
506C2×C8—1422no—
507C2×C8—1422no—
508C22⋊C4—714no—
509C22⋊C4—714no—
510C22⋊C4—714no—
511C22⋊C4—714no—
512C22⋊C4—714no—
513C22⋊C4—1422no—
514C22⋊C4—1422no—
515C22⋊C4—1422no—
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—22no—
521C42—22no—
522C42—2841no—
523C42—2841no—
524C42—1422no—
525C42—1422no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—2844no—
531C23—2844no—
532C23—2844no—
533C23—2844no—
534C23—2844no—
535C23—712no—
536C23—712no—
537C23—712no—
538C23—712no—
539C23—1428no—
540C23—1428no—
541C23—1421no—
542C23—1421no—
543C23—1421no—
544C23—1421no—
545C23—1421no—
546C23—1421no—
547C23—1421no—
548C23—1421no—
549C23—1421no—
550C23—1421no—
551C23(C22⋊D71)⋊C412yes—
552C23C2×C8×D7112yes—
553C23#1455613612yes—
554C23C22×C4×D7111yescharacteristic
555C2×C4—28no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—44no—
570C2×C4—2844no—
571C2×C4—2844no—
572C2×C4—2844no—
573C2×C4—2844no—
574C2×C4—2842no—
575C2×C4—2842no—
576C2×C4—2844no—
577C2×C4—712no—
578C2×C4—712no—
579C2×C4—712no—
580C2×C4—712no—
581C2×C4—1421no—
582C2×C4—1421no—
583C2×C4—1421no—
584C2×C4—1421no—
585C2×C4—1421no—
586C2×C4—1421no—
587C2×C4—1421no—
588C2×C4—1421no—
589C2×C4—1421no—
590C2×C4—1421no—
591C2×C4—1421no—
592C2×C4—1421no—
593C2×C4—1421no—
594C2×C4—1421no—
595C2×C4—1424no—
596C2×C4—1424no—
597C2×C4(C22⋊D71)⋊C412yes—
598C2×C4C2×C8×D7112yes—
599C2×C4C2×C8×D7112yes—
600C2×C4M16×D7112yes—
601C2×C4C2×D4×D7111yescharacteristic
602C2×C4#41×D7112yes—
603C2×C4C2×#1176586411yescharacteristic
604C2×C4#1455617412yes—
605C8—42no—
606C8—42no—
607C8—2842no—
608C8—1424no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—28416no—
616C22—2841no—
617C22—2841no—
618C22—2841no—
619C22—2841no—
620C22—714no—
621C22—1422no—
622C22—1422no—
623C22—1422no—
624C22—1422no—
625C22—1422no—
626C22—1422no—
627C22—1422no—
628C22—1422no—
629C22—1422no—
630C22(C22⋊D71)⋊C814yes—
631C22#117×D7111yescharacteristic
632C22C2×(C22⋊D71)⋊C411yescharacteristic
633C22#1798647311yescharacteristic
634C22C22×C8×D7111yescharacteristic
635C22C2×M16×D7111yescharacteristic
636C22C2×#1455613611yescharacteristic
637C22#1798676511yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—41no—
643C4—2841no—
644C4—2841no—
645C4—1422no—
646C4—1422no—
647C4—1422no—
648C4—1422no—
649C4#1798664112yes—
650C4#1798667212yes—
651C2—24no—
652C2—2842no—
653C2—1424no—
654C2#2259118211yescharacteristic
655C2#431×D7111yescharacteristic
656C2#2259699911yescharacteristic
657C2C2×(C22⋊D71)⋊C811yescharacteristic
658C2#2259707211yescharacteristic
659C2#2259736311yescharacteristic
660C2#2259737711yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutatorC22×C71C23×C8
FittingC71×#1817C2
socleC23×C71C23×C4
prime radicalC24×D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1817D71
hypocenterC71#22552
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1817

Complements

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

NH ≅ G/Ntype
1. C2×#17986052C2semidirect
4. #22588947C2semidirect
5. #22588944C2semidirect
6. #22588519C2semidirect
7. #22588318C2semidirect
9. #22588110C2semidirect
10. C22⋊C8×Dic71C2semidirect
11. C71×#1817C2semidirect
18. C2×C4⋊(C71⋊C8)C22semidirect
19. C2×Dic71⋊C8C22semidirect
26. C2×C4×C71⋊C8C22semidirect
27. C2×C8×Dic71C22semidirect
38. #17985753C22semidirect
39. #17985753C22semidirect
43. #336×C71C22semidirect
44. #336×C71C22semidirect
63. C2×(C2×D71)⋊C4C8semidirect
124. C22×Dic71C2×C8semidirect
159. (C2×D71)⋊C4C2×C8semidirect
160. (C2×D71)⋊C4C2×C8semidirect
174. C22×C4×C71C2×C8semidirect
306. C2×D71#431semidirect
337. #1817D71semidirect
342. C71#22552semidirect
374. #336C2×D71semidirect
375. #336C2×D71semidirect
486. C22×C4C8×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179860522
C2×C22⋊C8×D712
C2×C4×(C2×D71)⋊C42
#225889472
#225889442
#225885192
#225883182
#225882492
#225881102
C22⋊C8×Dic712
C71×#18172
#2255271