Finite Group Databasebeta

← C2×#328×D71 #31964532

Subgroups — C2×#328×D71 #31964532

Order 18176.

1846 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D71C211yesmaximal, characteristic
2C2×C22⋊C8×D71C211yesmaximal, characteristic
3C2×#95×D71C211yesmaximal, characteristic
4C2×#17985737C211yesmaximal, characteristic, complemented
5C2×#17985736C211yesmaximal, characteristic, complemented
6C2×#17985735C211yesmaximal, characteristic, complemented
7#328×D71C218yesmaximal, direct product factor
8C2×#328×C71C211yesmaximal, characteristic, complemented
9C22×Q8×D71C411yescharacteristic, complemented
10C23×C4×D71—21no—
11C23×C4×D71C2211yescharacteristic
12C22×C8×D71—21no—
13C2×#14556108C411yescharacteristic, complemented
14C2×#14556107C2211yescharacteristic
15C2×#14556106—21no—
16C2×#14556105—21no—
17C2×#14556104C411yescharacteristic, complemented
18C22⋊Q8×D71—22no—
19C22⋊Q8×D71—22no—
20C22⋊Q8×D71C414yescomplemented
21C22⋊Q8×D71C2214yes—
22C2×C4⋊C4×D71—21no—
23C2×C4⋊C4×D71C411yescharacteristic, complemented
24C2×C22⋊C4×D71—21no—
25C2×C22⋊(C71⋊C8)C2211yescharacteristic
26C2×(C2×D71)⋊C8—21no—
27C22⋊C8×D71—22no—
28C22⋊C8×D71C2214yes—
29C2×C71⋊#95—21no—
30C2×C71⋊#95C2211yescharacteristic
31#95×D71—22no—
32#95×D71C2214yes—
33#17985737C2214yescomplemented
34#17985736C2214yescomplemented
35#17985735C2214yescomplemented
36C2×C22⋊Q8×C71C2211yescharacteristic
37C2×C22⋊C8×C71C2211yescharacteristic
38C2×#95×C71C2211yescharacteristic
39#328×C71C2214yescomplemented
40C24×D71D411yescharacteristic
41C22×Dic142—21no—
42C22×Dic142C2×C411yescharacteristic, complemented
43C2×Q8×D71—22no—
44C2×Q8×D71—44no—
45C2×Q8×D71C2×C414yescomplemented
46C23×Dic71—21no—
47C23×Dic71D411yescharacteristic
48C22×C4×D71—28no—
49C22×C4×D71—21no—
50C22×C4×D71—21no—
51C22×C4×D71—24no—
52C22×C4×D71—44no—
53C22×C4×D71—44no—
54C22×C4×D71—44no—
55C22×C4×D71C2×C411yescharacteristic
56C22×C4×D71C2×C412yes—
57C22×C4×D71C2×C411yescharacteristic
58C22×C4×D71D411yescharacteristic
59C22×C4×D71D412yes—
60C22×C4×D71D412yes—
61C22×C4×D71D411yescharacteristic
62C22×C4×D71C2312yes—
63C22×C71⋊C8—21no—
64C2×C8×D71—24no—
65C2×C8×D71—44no—
66#14556108—22no—
67#14556108C2×C414yescomplemented
68#14556107—21no—
69#14556107—21no—
70#14556107C2×C412yescomplemented
71#14556107C2312yes—
72#14556106—24no—
73#14556106—24no—
74#14556105—24no—
75#14556105—24no—
76#14556104—22no—
77#14556104C2×C414yescomplemented
78C2×C4⋊Dic71—21no—
79C2×C4⋊Dic71C2×C411yescharacteristic, complemented
80C2×Dic71⋊C4—21no—
81C2×Dic71⋊C4—21no—
82C2×Dic71⋊C4—21no—
83C4⋊C4×D71—24no—
84C4⋊C4×D71—22no—
85C4⋊C4×D71—24no—
86C4⋊C4×D71C2×C414yescomplemented
87C2×C22⋊Dic71—21no—
88C2×(C2×D71)⋊C4—21no—
89C2×(C2×D71)⋊C4—21no—
90C22⋊C4×D71—24no—
91C22⋊C4×D71—24no—
92C22⋊(C71⋊C8)—21no—
93C22⋊(C71⋊C8)C2312yes—
94(C2×D71)⋊C8—24no—
95C71⋊#95—24no—
96C71⋊#95—21no—
97C71⋊#95C2312yes—
98C22×Q8×C71C2×C411yescharacteristic, complemented
99C23×C4×C71—21no—
100C23×C4×C71C2311yescharacteristic
101C22×C8×C71—21no—
102C22⋊Q8×C71—21no—
103C22⋊Q8×C71—21no—
104C22⋊Q8×C71C2×C412yescomplemented
105C22⋊Q8×C71C2312yes—
106C2×C4⋊C4×C71—21no—
107C2×C4⋊C4×C71C2×C411yescharacteristic, complemented
108C2×C22⋊C4×C71—21no—
109C22⋊C8×C71—21no—
110C22⋊C8×C71C2312yes—
111#95×C71—21no—
112#95×C71C2312yes—
113C23×D71—24no—
114C23×D71—24no—
115C23×D71C22⋊C412yes—
116C23×D71C22⋊C411yescharacteristic
117C23×D71C22⋊C411yescharacteristic
118C23×D71SD1614yes—
119C23×D71Q1614yes—
120C23×D71C2×D412yes—
121C2×Dic142—21no—
122C2×Dic142—24no—
123C2×Dic142—44no—
124C2×Dic142—42no—
125C2×Dic142C22×C412yescomplemented
126Q8×D71—48no—
127Q8×D71—48no—
128C22×Dic71—24no—
129C22×Dic71—21no—
130C22×Dic71—21no—
131C22×Dic71—22no—
132C22×Dic71—42no—
133C22×Dic71—42no—
134C22×Dic71—42no—
135C22×Dic71C22⋊C411yescharacteristic
136C22×Dic71C22⋊C411yescharacteristic
137C22×Dic71C22⋊C412yes—
138C22×Dic71C2×D412yes—
139C2×C4×D71—24no—
140C2×C4×D71—24no—
141C2×C4×D71—216no—
142C2×C4×D71—24no—
143C2×C4×D71—24no—
144C2×C4×D71—44no—
145C2×C4×D71—44no—
146C2×C4×D71—44no—
147C2×C4×D71—44no—
148C2×C4×D71—42no—
149C2×C4×D71—42no—
150C2×C4×D71—432no—
151C2×C4×D71—48no—
152C2×C4×D71—44no—
153C2×C4×D71—44no—
154C2×C4×D71—48no—
155C2×C4×D71C22⋊C412yes—
156C2×C4×D71C22⋊C412yes—
157C2×C4×D71C22⋊C412yes—
158C2×C4×D71C22⋊C412yes—
159C2×C4×D71C22×C412yes—
160C2×C4×D71C22×C412yes—
161C2×C4×D71C2×D412yes—
162C2×C4×D71C2×D412yes—
163C2×C71⋊C8—22no—
164C2×C71⋊C8—42no—
165C8×D71—48no—
166C4⋊Dic71—21no—
167C4⋊Dic71—24no—
168C4⋊Dic71C22×C412yescomplemented
169Dic71⋊C4—22no—
170Dic71⋊C4—22no—
171Dic71⋊C4—24no—
172Dic71⋊C4—24no—
173C22⋊Dic71—22no—
174C22⋊Dic71—22no—
175(C2×D71)⋊C4—24no—
176(C2×D71)⋊C4—24no—
177C24×C71C2×D411yescharacteristic
178C2×Q8×C71—21no—
179C2×Q8×C71—42no—
180C2×Q8×C71C22×C412yescomplemented
181C22×C4×C71—24no—
182C22×C4×C71—21no—
183C22×C4×C71—21no—
184C22×C4×C71—22no—
185C22×C4×C71—42no—
186C22×C4×C71—42no—
187C22×C4×C71—42no—
188C22×C4×C71C22×C411yescharacteristic
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C2×D411yescharacteristic
191C22×C4×C71C2×D411yescharacteristic
192C22×C4×C71C2×D411yescharacteristic
193C22×C4×C71C2411yescharacteristic
194C2×C8×C71—22no—
195C2×C8×C71—42no—
196C4⋊C4×C71—22no—
197C4⋊C4×C71—21no—
198C4⋊C4×C71—22no—
199C4⋊C4×C71C22×C412yescomplemented
200C22⋊C4×C71—22no—
201C22⋊C4×C71—22no—
202C23×C71—22no—
203C23×C71—22no—
204C23×C71C2×C22⋊C411yescharacteristic
205C23×C71C2×C22⋊C411yescharacteristic
206C23×C71C2×SD1612yes—
207C23×C71C2×Q1612yes—
208C23×C71C22×D411yescharacteristic
209C22×D71—22no—
210C22×D71—22no—
211C22×D71—216no—
212C22×D71—216no—
213C22×D71—24no—
214C22×D71—24no—
215C22×D71—24no—
216C22×D71—24no—
217C22×D71#9914yes—
218C22×D71#10314yes—
219C22×D71#10318yes—
220C22×D71#10314yes—
221C22×D71#10414yes—
222C22×D71C2×C22⋊C412yes—
223C22×D71C2×C22⋊C412yes—
224C22×D71C2×SD1614yes—
225C22×D71C2×Q1614yes—
226Q8×C71—42no—
227Q8×C71—42no—
228C2×C4×C71—22no—
229C2×C4×C71—22no—
230C2×C4×C71—24no—
231C2×C4×C71—22no—
232C2×C4×C71—22no—
233C2×C4×C71—41no—
234C2×C4×C71—41no—
235C2×C4×C71—41no—
236C2×C4×C71—41no—
237C2×C4×C71—42no—
238C2×C4×C71—48no—
239C2×C4×C71—42no—
240C2×C4×C71—42no—
241C2×C4×C71—42no—
242C2×C4×C71C2×C22⋊C411yescharacteristic
243C2×C4×C71C2×C22⋊C411yescharacteristic
244C2×C4×C71C23×C411yescharacteristic
245C2×C4×C71C22×D411yescharacteristic
246C2×Dic71—22no—
247C2×Dic71—22no—
248C2×Dic71—24no—
249C2×Dic71—22no—
250C2×Dic71—22no—
251C2×Dic71—42no—
252C2×Dic71—42no—
253C2×Dic71—42no—
254C2×Dic71—48no—
255C2×Dic71—42no—
256C2×Dic71—42no—
257C2×Dic71—42no—
258C2×Dic71C2×C22⋊C412yes—
259C2×Dic71C2×C22⋊C412yes—
260C4×D71—24no—
261C4×D71—24no—
262C4×D71—24no—
263C4×D71—24no—
264C4×D71—42no—
265C4×D71—42no—
266C4×D71—42no—
267C4×D71—42no—
268C4×D71—432no—
269C4×D71—48no—
270C4×D71—48no—
271Dic142—48no—
272Dic142—42no—
273Dic142—42no—
274C8×C71—42no—
275C71⋊C8—42no—
276C22×C71—21no—
277C22×C71—21no—
278C22×C71—21no—
279C22×C71—21no—
280C22×C71—24no—
281C22×C71—24no—
282C22×C71C2×#9912yes—
283C22×C71C2×#10312yes—
284C22×C71C2×#10312yes—
285C22×C71C2×#10412yes—
286C22×C71C22×C22⋊C411yescharacteristic
287C22×C71C22×SD1611yescharacteristic
288C22×C71C22×Q1611yescharacteristic
289C2×D71—22no—
290C2×D71—22no—
291C2×D71—28no—
292C2×D71—28no—
293C2×D71—216no—
294C2×D71—28no—
295C2×D71#328116yesdirect product factor
296C2×D71C2×#9914yes—
297C2×D71C2×#10314yes—
298C2×D71C2×#10314yes—
299C2×D71C2×#10414yes—
300C4×C71—21no—
301C4×C71—21no—
302C4×C71—21no—
303C4×C71—21no—
304C4×C71—44no—
305C4×C71—42no—
306C4×C71—42no—
307Dic71—22no—
308Dic71—22no—
309Dic71—44no—
310Dic71—42no—
311Dic71—42no—
312C22×#328—711nomaximal, Sylow
313C2×C71—21no—
314C2×C71—21no—
315C2×C71—22no—
316C2×C71C2×#32814yescomplemented
317C2×C71C22×#9911yescharacteristic
318C2×C71C22×#10311yescharacteristic
319C2×C71C22×#10411yescharacteristic
320D71—24no—
321D71C2×#32818yesdirect product factor
322C22×C22⋊Q8—711no—
323C22×C22⋊C8—711no—
324C22×#95—711no—
325C2×#328—711no—
326C2×#328—711no—
327C2×#328—718no—
328C2×#328—711no—
329C2×#328D7111yescharacteristic, direct product factor
330C71C22×#32811yescharacteristic, complemented, Sylow
331C23×Q8—711no—
332C24×C4—711no—
333C24×C4—1421no—
334C23×C8—1421no—
335C2×C22⋊Q8—711no—
336C2×C22⋊Q8—711no—
337C2×C22⋊Q8—714no—
338C2×C22⋊Q8—714no—
339C2×C22⋊Q8—711no—
340C2×C22⋊Q8—1421no—
341C2×C22⋊Q8—1421no—
342C2×C22⋊Q8—1422no—
343C2×C22⋊Q8—1422no—
344C2×C22⋊Q8C2×D7111yescharacteristic
345C22×C4⋊C4—711no—
346C22×C4⋊C4—1421no—
347C22×C22⋊C4—1421no—
348C2×C22⋊C8—711no—
349C2×C22⋊C8—714no—
350C2×C22⋊C8—1422no—
351C2×C22⋊C8—1421no—
352C2×C22⋊C8C2×D7111yescharacteristic
353C2×#95—711no—
354C2×#95—714no—
355C2×#95—1422no—
356C2×#95—1421no—
357C2×#95C2×D7111yescharacteristic
358#328—714no—
359#328—714no—
360#328—714no—
361#328C2×D7114yesdirect product factor
362C25—711no—
363C22×Q8—2844no—
364C22×Q8—714no—
365C22×Q8—711no—
366C22×Q8—1421no—
367C22×Q8—1422no—
368C22×Q8C4×D7111yescharacteristic, complemented
369C23×C4—21no—
370C23×C4—2844no—
371C23×C4—2844no—
372C23×C4—2844no—
373C23×C4—711no—
374C23×C4—711no—
375C23×C4—712no—
376C23×C4—712no—
377C23×C4—711no—
378C23×C4—712no—
379C23×C4—712no—
380C23×C4—711no—
381C23×C4—711no—
382C23×C4—1421no—
383C23×C4—1421no—
384C23×C4—1424no—
385C23×C4—1428no—
386C23×C4—1421no—
387C23×C4C22×D7111yescharacteristic
388C22×C8—21no—
389C22×C8—2844no—
390C22×C8—1424no—
391C22×C8—1421no—
392C22⋊Q8—21no—
393C22⋊Q8—21no—
394C22⋊Q8—714no—
395C22⋊Q8—712no—
396C22⋊Q8—712no—
397C22⋊Q8—714no—
398C22⋊Q8—1424no—
399C22⋊Q8—1424no—
400C22⋊Q8—1424no—
401C22⋊Q8—1424no—
402C22⋊Q8—1422no—
403C22⋊Q8—1422no—
404C22⋊Q8—1421no—
405C22⋊Q8—1421no—
406C22⋊Q8C4×D7112yescomplemented
407C22⋊Q8C22×D7112yes—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—711no—
410C2×C4⋊C4—714no—
411C2×C4⋊C4—1422no—
412C2×C4⋊C4—1424no—
413C2×C4⋊C4—1424no—
414C2×C4⋊C4—1421no—
415C2×C4⋊C4—1421no—
416C2×C4⋊C4—1421no—
417C2×C4⋊C4—1421no—
418C2×C4⋊C4C4×D7111yescharacteristic, complemented
419C2×C22⋊C4—21no—
420C2×C22⋊C4—1424no—
421C2×C22⋊C4—1424no—
422C2×C22⋊C4—1421no—
423C2×C22⋊C4—1421no—
424C2×C22⋊C4—1421no—
425C22⋊C8—21no—
426C22⋊C8—712no—
427C22⋊C8—1424no—
428C22⋊C8—1421no—
429C22⋊C8C22×D7112yes—
430#95—21no—
431#95—712no—
432#95—1424no—
433#95—1421no—
434#95C22×D7112yes—
435C24—711no—
436C24—712no—
437C24—712no—
438C24—711no—
439C24—714no—
440C24—714no—
441C24—1424no—
442C24—1424no—
443C24D4×D7111yescharacteristic
444C2×Q8—21no—
445C2×Q8—42no—
446C2×Q8—2842no—
447C2×Q8—2844no—
448C2×Q8—2848no—
449C2×Q8—2848no—
450C2×Q8—712no—
451C2×Q8—1424no—
452C2×Q8—1421no—
453C2×Q8C2×C4×D7112yescomplemented
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—2842no—
462C22×C4—2842no—
463C22×C4—2848no—
464C22×C4—2844no—
465C22×C4—2844no—
466C22×C4—2848no—
467C22×C4—28432no—
468C22×C4—2844no—
469C22×C4—2844no—
470C22×C4—2844no—
471C22×C4—2844no—
472C22×C4—2842no—
473C22×C4—2842no—
474C22×C4—2842no—
475C22×C4—712no—
476C22×C4—712no—
477C22×C4—712no—
478C22×C4—712no—
479C22×C4—712no—
480C22×C4—712no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—712no—
484C22×C4—712no—
485C22×C4—712no—
486C22×C4—712no—
487C22×C4—1424no—
488C22×C4—1424no—
489C22×C4—14216no—
490C22×C4—1424no—
491C22×C4—1424no—
492C22×C4—1424no—
493C22×C4—1422no—
494C22×C4—1421no—
495C22×C4—1421no—
496C22×C4C2×C4×D7111yescharacteristic
497C22×C4C2×C4×D7111yescharacteristic
498C22×C4D4×D7111yescharacteristic
499C22×C4D4×D7111yescharacteristic
500C22×C4D4×D7111yescharacteristic
501C22×C4C23×D7111yescharacteristic
502C2×C8—22no—
503C2×C8—42no—
504C2×C8—2848no—
505C2×C8—2842no—
506C2×C8—1422no—
507C4⋊C4—22no—
508C4⋊C4—22no—
509C4⋊C4—21no—
510C4⋊C4—712no—
511C4⋊C4—1424no—
512C4⋊C4—1424no—
513C4⋊C4—1424no—
514C4⋊C4—1422no—
515C4⋊C4—1422no—
516C4⋊C4—1421no—
517C4⋊C4C2×C4×D7112yescomplemented
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—1424no—
521C22⋊C4—1424no—
522C22⋊C4—1422no—
523C22⋊C4—1422no—
524C23—22no—
525C23—22no—
526C23—712no—
527C23—714no—
528C23—714no—
529C23—714no—
530C23—712no—
531C23—718no—
532C23—714no—
533C23—714no—
534C23—714no—
535C23—1424no—
536C23—1424no—
537C23—14216no—
538C23—1424no—
539C23—1424no—
540C23—14216no—
541C23—1422no—
542C23—1422no—
543C23C22⋊C4×D7111yescharacteristic
544C23C22⋊C4×D7111yescharacteristic
545C23SD16×D7112yes—
546C23Q16×D7112yes—
547C23C2×D4×D7111yescharacteristic
548Q8—42no—
549Q8—42no—
550Q8—2842no—
551Q8—2842no—
552Q8—2848no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—42no—
563C2×C4—48no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—2842no—
568C2×C4—2842no—
569C2×C4—2842no—
570C2×C4—2842no—
571C2×C4—2848no—
572C2×C4—2848no—
573C2×C4—28432no—
574C2×C4—2842no—
575C2×C4—2848no—
576C2×C4—2842no—
577C2×C4—2842no—
578C2×C4—2842no—
579C2×C4—2842no—
580C2×C4—2842no—
581C2×C4—712no—
582C2×C4—712no—
583C2×C4—1424no—
584C2×C4—1424no—
585C2×C4—1424no—
586C2×C4—1424no—
587C2×C4—1424no—
588C2×C4—1422no—
589C2×C4—1422no—
590C2×C4—1422no—
591C2×C4—1422no—
592C2×C4C22⋊C4×D7111yescharacteristic
593C2×C4C22⋊C4×D7111yescharacteristic
594C2×C4C22×C4×D7111yescharacteristic
595C2×C4C2×D4×D7111yescharacteristic
596C8—42no—
597C8—2842no—
598C22—21no—
599C22—21no—
600C22—21no—
601C22—21no—
602C22—24no—
603C22—24no—
604C22—714no—
605C22—714no—
606C22—7116no—
607C22—714no—
608C22—714no—
609C22—1428no—
610C22—14216no—
611C22—1428no—
612C22—1422no—
613C22—1422no—
614C22—1428no—
615C22#99×D7112yes—
616C22#103×D7112yes—
617C22#103×D7112yes—
618C22#104×D7112yes—
619C22C2×C22⋊C4×D7111yescharacteristic
620C22C2×SD16×D7111yescharacteristic
621C22C2×Q16×D7111yescharacteristic
622C4—21no—
623C4—21no—
624C4—21no—
625C4—21no—
626C4—44no—
627C4—42no—
628C4—42no—
629C4—2844no—
630C4—2842no—
631C4—2842no—
632C4—1422no—
633C4—1422no—
634C2—21no—
635C2—22no—
636C2—21no—
637C2—718no—
638C2—1424no—
639C2#328×D7114yesdirect product factor
640C2C2×#99×D7111yescharacteristic
641C2C2×#103×D7111yescharacteristic
642C2C2×#104×D7111yescharacteristic
subgroupG/H
centerC23C22⋊C4×D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC2×#328×C71C2
socleC23×C71C2×C22⋊C4
prime radicalC24×D71D4
cosocleC22×C4×C71C24
hypercenterC2×#328D71
hypocenterC71C22×#328
LCSG ▷ C2×C4×C71 ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#328

Complements

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

NH ≅ G/Ntype
4. C2×#17985737C2semidirect
5. C2×#17985736C2semidirect
6. C2×#17985735C2semidirect
7. #328×D71C2direct (N × H)
8. C2×#328×C71C2semidirect
9. C22×Q8×D71C4semidirect
13. C2×#14556108C4semidirect
17. C2×#14556104C4semidirect
20. C22⋊Q8×D71C4semidirect
23. C2×C4⋊C4×D71C4semidirect
33. #17985737C22semidirect
34. #17985736C22semidirect
35. #17985735C22semidirect
39. #328×C71C22semidirect
42. C22×Dic142C2×C4semidirect
45. C2×Q8×D71C2×C4semidirect
67. #14556108C2×C4semidirect
70. #14556107C2×C4semidirect
77. #14556104C2×C4semidirect
79. C2×C4⋊Dic71C2×C4semidirect
86. C4⋊C4×D71C2×C4semidirect
98. C22×Q8×C71C2×C4semidirect
104. C22⋊Q8×C71C2×C4semidirect
107. C2×C4⋊C4×C71C2×C4semidirect
125. C2×Dic142C22×C4semidirect
168. C4⋊Dic71C22×C4semidirect
180. C2×Q8×C71C22×C4semidirect
199. C4⋊C4×C71C22×C4semidirect
295. C2×D71#328direct (N × H)
316. C2×C71C2×#328semidirect
321. D71C2×#328direct (N × H)
329. C2×#328D71direct (N × H)
330. C71C22×#328semidirect
361. #328C2×D71direct (N × H)
368. C22×Q8C4×D71semidirect
406. C22⋊Q8C4×D71semidirect
418. C2×C4⋊C4C4×D71semidirect
453. C2×Q8C2×C4×D71semidirect
517. C4⋊C4C2×C4×D71semidirect
639. C2#328×D71direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D712
C2×C22⋊C8×D712
C2×#95×D712
C2×#179857372
C2×#179857362
C2×#179857352
#328×D712
C2×#328×C712
C22×#32871