Finite Group Databasebeta

← #32016207

Subgroups — #32016207

Order 18176.

906 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×#17986077C211yesmaximal, characteristic
2#22591269C211yesmaximal, characteristic
3#22589108C211yesmaximal, characteristic, complemented
4#22589106C211yesmaximal, characteristic, complemented
5#22588539C211yesmaximal, characteristic, complemented
6#22588537C211yesmaximal, characteristic, complemented
7#22588528C211yesmaximal, characteristic, complemented
8#22588527C211yesmaximal, characteristic, complemented
9#22588470C211yesmaximal, characteristic, complemented
10#22588371C211yesmaximal, characteristic, complemented
11#22588371C211yesmaximal, characteristic, complemented
12C4×#14556061C211yesmaximal, characteristic, complemented
13#22588061C211yesmaximal, characteristic, complemented
14#22588059C211yesmaximal, characteristic, complemented
15C71×#2352C211yesmaximal, characteristic
16C22×#11765849C2211yescharacteristic
17C22×#11765849C2211yescharacteristic
18C2×#14556087C2211yescharacteristic
19C22×C4⋊Dic71C2211yescharacteristic
20#17986077C418yescomplemented
21C2×#14556061C2211yescharacteristic
22C2×#14556061C2211yescharacteristic
23C2×#14556061C2211yescharacteristic
24C2×#14556061C2211yescharacteristic
25C2×#14556059C2211yescharacteristic
26C2×#14556059C2211yescharacteristic
27C2×C4⋊(C71⋊C8)C2211yescharacteristic
28C2×C22⋊(C71⋊C8)C2211yescharacteristic
29C2×C22⋊(C71⋊C8)C2211yescharacteristic
30C2×C4×C71⋊C8C2211yescharacteristic
31#17985892—21no—
32#17985885—21no—
33#17985879—21no—
34#17985865C2211yescharacteristic
35#17985859C2211yescharacteristic
36#17985859C2211yescharacteristic
37C4×C4⋊Dic71C2211yescharacteristic
38C22⋊C4×Dic71—21no—
39#17985761C2211yescharacteristic
40#17985761C2211yescharacteristic
41#17985761C2211yescharacteristic
42#17985761C2211yescharacteristic
43#17985761C2211yescharacteristic
44#17985761C2211yescharacteristic
45#17985761C2211yescharacteristic
46#17985761C2211yescharacteristic
47#17985761C2211yescharacteristic
48#17985761C2211yescharacteristic
49C2×C4×D4×C71C2211yescharacteristic
50C2×#117×C71C2211yescharacteristic
51C22×C4⋊C4×C71C2211yescharacteristic
52#388×C71—21no—
53#387×C71—21no—
54#386×C71—21no—
55#382×C71C2211yescharacteristic
56#380×C71C2211yescharacteristic
57#380×C71C2211yescharacteristic
58C4×C4⋊C4×C71C2211yescharacteristic
59C4×C22⋊C4×C71—21no—
60C23×Dic71—21no—
61C2×#11765849—41no—
62C2×#11765849—41no—
63C2×#11765849—41no—
64C2×#11765849—41no—
65C2×#11765849C2×C414yescomplemented
66C2×#11765849C2×C414yescomplemented
67C22×C71⋊C8C2311yescharacteristic
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C22×C71⋊C8C2311yescharacteristic
71#14556087—22no—
72#14556087—41no—
73C2×C4⋊Dic71—22no—
74C2×C4⋊Dic71—21no—
75C2×C4⋊Dic71—41no—
76C2×C4⋊Dic71C2311yescharacteristic
77C2×C4⋊Dic71C2311yescharacteristic
78C2×C4⋊Dic71C2311yescharacteristic
79C2×C4⋊Dic71C2311yescharacteristic
80C2×C22⋊Dic71—21no—
81C2×C22⋊Dic71—21no—
82C2×C22⋊Dic71—21no—
83C2×C4×Dic71—21no—
84C2×C4×Dic71—21no—
85#14556061—22no—
86#14556061—22no—
87#14556061—41no—
88#14556061—41no—
89#14556059—41no—
90#14556059—41no—
91C4⋊(C71⋊C8)C2×C414yescomplemented
92C22⋊(C71⋊C8)C2×C414yescomplemented
93C22⋊(C71⋊C8)C2×C414yescomplemented
94C4×C71⋊C8C2×C414yescomplemented
95C71⋊#95—21no—
96C71⋊#95—21no—
97C71⋊#95—21no—
98C71⋊#95—21no—
99C71⋊#95—21no—
100C22×D4×C71D411yescharacteristic
101C23×C4×C71—21no—
102C23×C4×C71C2311yescharacteristic
103C23×C4×C71C2311yescharacteristic
104C4×D4×C71C2×C414yes—
105C4×D4×C71Q814yes—
106#117×C71—22no—
107#117×C71—41no—
108C2×C4⋊C4×C71—22no—
109C2×C4⋊C4×C71—21no—
110C2×C4⋊C4×C71—41no—
111C2×C4⋊C4×C71D411yescharacteristic
112C2×C4⋊C4×C71C2311yescharacteristic
113C2×C4⋊C4×C71C2311yescharacteristic
114C2×C4⋊C4×C71C2311yescharacteristic
115C2×C4⋊C4×C71C2311yescharacteristic
116C2×C22⋊C4×C71—21no—
117C2×C22⋊C4×C71—21no—
118C2×C22⋊C4×C71—21no—
119C2×C22⋊C4×C71D411yescharacteristic
120C2×C22⋊C4×C71D411yescharacteristic
121C2×C42×C71—21no—
122C2×C42×C71—21no—
123C2×C42×C71C2311yescharacteristic
124#95×C71—21no—
125#95×C71—21no—
126#95×C71—21no—
127#95×C71—21no—
128#95×C71—21no—
129C22×Dic71—21no—
130C22×Dic71—21no—
131C22×Dic71—21no—
132C22×Dic71—21no—
133C22×Dic71—42no—
134C22×Dic71—42no—
135C22×Dic71—81no—
136#11765849—44no—
137#11765849—44no—
138C2×C71⋊C8—21no—
139C2×C71⋊C8—21no—
140C2×C71⋊C8—21no—
141C2×C71⋊C8—21no—
142C2×C71⋊C8—21no—
143C2×C71⋊C8—21no—
144C2×C71⋊C8—21no—
145C2×C71⋊C8—21no—
146C2×C71⋊C8C22×C412yes—
147C2×C71⋊C8C22×C412yes—
148C2×C71⋊C8C22×C412yes—
149C2×C71⋊C8C22×C412yes—
150C4⋊Dic71—21no—
151C4⋊Dic71—21no—
152C4⋊Dic71—21no—
153C4⋊Dic71—21no—
154C4⋊Dic71—21no—
155C4⋊Dic71—21no—
156C4⋊Dic71—21no—
157C4⋊Dic71—42no—
158C4⋊Dic71#4112yes—
159C22⋊Dic71—42no—
160C22⋊Dic71—42no—
161C22⋊Dic71—81no—
162C4×Dic71—42no—
163C4×Dic71—81no—
164C24×C71C2×D411yescharacteristic
165C24×C71C2×D411yescharacteristic
166C2×D4×C71—41no—
167C2×D4×C71—41no—
168C2×D4×C71C4⋊C414yes—
169C22×C4×C71—21no—
170C22×C4×C71—21no—
171C22×C4×C71—21no—
172C22×C4×C71—21no—
173C22×C4×C71—21no—
174C22×C4×C71—21no—
175C22×C4×C71—21no—
176C22×C4×C71—21no—
177C22×C4×C71—21no—
178C22×C4×C71—21no—
179C22×C4×C71—21no—
180C22×C4×C71—21no—
181C22×C4×C71—42no—
182C22×C4×C71—42no—
183C22×C4×C71—81no—
184C22×C4×C71C22×C412yes—
185C22×C4×C71C22×C412yes—
186C22×C4×C71C2×D411yescharacteristic
187C22×C4×C71C2×D411yescharacteristic
188C22×C4×C71C2×D411yescharacteristic
189C22×C4×C71C2×D411yescharacteristic
190C22×C4×C71C2×Q812yes—
191C22×C4×C71C2×Q812yes—
192C22×C4×C71C2411yescharacteristic
193C4⋊C4×C71—21no—
194C4⋊C4×C71—21no—
195C4⋊C4×C71—21no—
196C4⋊C4×C71—21no—
197C4⋊C4×C71—21no—
198C4⋊C4×C71—21no—
199C4⋊C4×C71—21no—
200C4⋊C4×C71—42no—
201C4⋊C4×C71C4⋊C414yes—
202C4⋊C4×C71#4112yes—
203C22⋊C4×C71—42no—
204C22⋊C4×C71—42no—
205C22⋊C4×C71—81no—
206C22⋊C4×C71C4⋊C414yes—
207C22⋊C4×C71C4⋊C414yes—
208C42×C71—42no—
209C42×C71—81no—
210C42×C71C22×C412yes—
211C42×C71C2×Q812yes—
212C23×C71—21no—
213C23×C71—21no—
214C23×C71—21no—
215C23×C71—21no—
216C23×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71C2×C4⋊C412yes—
225C23×C71C2×C4⋊C412yes—
226C23×C71C22×D411yescharacteristic
227D4×C71—44no—
228C2×C4×C71—21no—
229C2×C4×C71—21no—
230C2×C4×C71—21no—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—22no—
237C2×C4×C71—22no—
238C2×C4×C71—22no—
239C2×C4×C71—22no—
240C2×C4×C71—22no—
241C2×C4×C71—22no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—22no—
245C2×C4×C71—41no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71—41no—
252C2×C4×C71—41no—
253C2×C4×C71—41no—
254C2×C4×C71—41no—
255C2×C4×C71—41no—
256C2×C4×C71—84no—
257C2×C4×C71C2×C4⋊C412yes—
258C2×C4×C71C2×C4⋊C412yes—
259C2×C4×C71C2×C4⋊C412yes—
260C2×C4×C71C2×C4⋊C412yes—
261C2×C4×C71C23×C411yescharacteristic
262C2×C4×C71C22×Q811yescharacteristic
263C2×C4×C71C2×#4111yescharacteristic
264C2×C4×C71C2×#4111yescharacteristic
265C2×C4×C71H(5,𝔽2)11yescharacteristic
266C2×C4×C71H(5,𝔽2)11yescharacteristic
267C2×Dic71—22no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71—41no—
273C2×Dic71—41no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—41no—
279C2×Dic71—84no—
280C71⋊C8—22no—
281C71⋊C8—22no—
282C71⋊C8—22no—
283C71⋊C8—22no—
284C22×C71—22no—
285C22×C71—22no—
286C22×C71—22no—
287C22×C71—22no—
288C22×C71—22no—
289C22×C71—22no—
290C22×C71—41no—
291C22×C71—41no—
292C22×C71—41no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71C22×C4⋊C411yescharacteristic
299C22×C71#54611yescharacteristic
300C22×C71#54611yescharacteristic
301C22×C71#57511yescharacteristic
302C22×C71#57511yescharacteristic
303C22×C71#57611yescharacteristic
304C22×C71#57811yescharacteristic
305C4×C71—22no—
306C4×C71—22no—
307C4×C71—22no—
308C4×C71—22no—
309C4×C71—42no—
310C4×C71—81no—
311C4×C71—81no—
312C4×C71—81no—
313C4×C71C4×#4111yescharacteristic
314C4×C71#51811yescharacteristic
315C4×C71#55411yescharacteristic
316C4×C71#55411yescharacteristic
317Dic71—42no—
318Dic71—81no—
319Dic71—81no—
320Dic71—81no—
321#22716—711nomaximal, Sylow
322C2×C71—42no—
323C2×C71—42no—
324C2×C71#234911yescharacteristic
325C2×C71#291111yescharacteristic
326C2×C71#291311yescharacteristic
327C2×C71#332211yescharacteristic
328C2×C71#332211yescharacteristic
329C2×C71#332711yescharacteristic
330C2×C71#332711yescharacteristic
331C2×#436—711no—
332#2352—711no—
333#2352D7111yescharacteristic
334#1949—711no—
335#1949—711no—
336#1854—711no—
337#1854—711no—
338#1852—711no—
339#1852—711no—
340#1835—711no—
341#1809—711no—
342#1809—711no—
343C4×#107—711no—
344#1736—711no—
345#1736—711no—
346C71#2271611yescharacteristic, complemented, Sylow
347C22×M16—711no—
348C22×M16—711no—
349C2×C4×D4C2×D7111yescharacteristic
350C2×#117—711no—
351C2×#117C2×D7111yescharacteristic
352C22×C4⋊C4—711no—
353C22×C4⋊C4C2×D7111yescharacteristic
354#436—718no—
355C2×#107—711no—
356C2×#107—711no—
357C2×#107—711no—
358C2×#107—711no—
359C2×#106—711no—
360C2×#106—711no—
361C2×C4⋊C8—711no—
362C2×C22⋊C8—711no—
363C2×C22⋊C8—711no—
364C2×C4×C8—711no—
365#388—21no—
366#388—1421no—
367#387—21no—
368#387—1421no—
369#386—21no—
370#386—1421no—
371#382—711no—
372#382C2×D7111yescharacteristic
373#380—711no—
374#380—711no—
375#380C2×D7111yescharacteristic
376#380C2×D7111yescharacteristic
377C4×C4⋊C4—711no—
378C4×C4⋊C4C2×D7111yescharacteristic
379C4×C22⋊C4—21no—
380C4×C22⋊C4—1421no—
381#340—711no—
382#340—711no—
383#340—711no—
384#340—711no—
385#340—711no—
386#340—711no—
387#340—711no—
388#340—711no—
389#340—711no—
390#340—711no—
391C22×D4C22⋊D7111yescharacteristic
392C23×C4—21no—
393C23×C4—1421no—
394C23×C4C22×D7111yescharacteristic
395C23×C4C22×D7111yescharacteristic
396C2×M16—2841no—
397C2×M16—2841no—
398C2×M16—2841no—
399C2×M16—2841no—
400C2×M16—714no—
401C2×M16—714no—
402C22×C8—711no—
403C22×C8—711no—
404C22×C8—711no—
405C22×C8—711no—
406C4×D4Dic14214yes—
407C4×D4C4×D7114yes—
408#117—22no—
409#117—41no—
410#117—2841no—
411#117—1422no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—41no—
415C2×C4⋊C4—2841no—
416C2×C4⋊C4—711no—
417C2×C4⋊C4—711no—
418C2×C4⋊C4—711no—
419C2×C4⋊C4—711no—
420C2×C4⋊C4—1421no—
421C2×C4⋊C4—1422no—
422C2×C4⋊C4C22⋊D7111yescharacteristic
423C2×C4⋊C4C22×D7111yescharacteristic
424C2×C4⋊C4C22×D7111yescharacteristic
425C2×C4⋊C4C22×D7111yescharacteristic
426C2×C4⋊C4C22×D7111yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—1421no—
431C2×C22⋊C4—1421no—
432C2×C22⋊C4—1421no—
433C2×C22⋊C4C22⋊D7111yescharacteristic
434C2×C22⋊C4C22⋊D7111yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—1421no—
438C2×C42—1421no—
439C2×C42C22×D7111yescharacteristic
440#107—2841no—
441#107—2841no—
442#107—1422no—
443#107—1422no—
444#106—2841no—
445#106—2841no—
446C4⋊C8—714no—
447C22⋊C8—714no—
448C22⋊C8—714no—
449C4×C8—714no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—1421no—
456#95—1421no—
457#95—1421no—
458#95—1421no—
459#95—1421no—
460C24C2×C22⋊D7111yescharacteristic
461C24C2×C22⋊D7111yescharacteristic
462C2×D4—41no—
463C2×D4—41no—
464C2×D4Dic71⋊C414yes—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—81no—
480C22×C4—2842no—
481C22×C4—2842no—
482C22×C4—5681no—
483C22×C4—1421no—
484C22×C4—1421no—
485C22×C4—1421no—
486C22×C4—1421no—
487C22×C4C2×C4×D7112yes—
488C22×C4C2×C4×D7112yes—
489C22×C4C2×C22⋊D7111yescharacteristic
490C22×C4C2×C22⋊D7111yescharacteristic
491C22×C4C2×C22⋊D7111yescharacteristic
492C22×C4C2×C22⋊D7111yescharacteristic
493C22×C4C2×Dic14212yes—
494C22×C4C2×Dic14212yes—
495C22×C4C23×D7111yescharacteristic
496M16—2844no—
497M16—2844no—
498C2×C8—712no—
499C2×C8—712no—
500C2×C8—712no—
501C2×C8—712no—
502C2×C8—1421no—
503C2×C8—1421no—
504C2×C8—1421no—
505C2×C8—1421no—
506C2×C8—1421no—
507C2×C8—1421no—
508C2×C8—1421no—
509C2×C8—1421no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—42no—
518C4⋊C4—2842no—
519C4⋊C4—712no—
520C4⋊C4—1421no—
521C4⋊C4—1421no—
522C4⋊C4—1421no—
523C4⋊C4—1421no—
524C4⋊C4—1421no—
525C4⋊C4—1421no—
526C4⋊C4—1421no—
527C4⋊C4Dic71⋊C414yes—
528C4⋊C4#1176586412yes—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—81no—
532C22⋊C4—2842no—
533C22⋊C4—2842no—
534C22⋊C4—5681no—
535C22⋊C4Dic71⋊C414yes—
536C22⋊C4Dic71⋊C414yes—
537C42—42no—
538C42—81no—
539C42—2842no—
540C42—5681no—
541C42C2×C4×D7112yes—
542C42C2×Dic14212yes—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23C2×Dic71⋊C412yes—
556C23C2×Dic71⋊C412yes—
557C23C22×C22⋊D7111yescharacteristic
558D4—44no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—2841no—
594C2×C4—2841no—
595C2×C4—2841no—
596C2×C4—2841no—
597C2×C4—2841no—
598C2×C4—2841no—
599C2×C4—5684no—
600C2×C4—1422no—
601C2×C4C2×Dic71⋊C412yes—
602C2×C4C2×Dic71⋊C412yes—
603C2×C4C2×Dic71⋊C412yes—
604C2×C4C2×Dic71⋊C412yes—
605C2×C4C22×C4×D7111yescharacteristic
606C2×C4C22×Dic14211yescharacteristic
607C2×C4#41×D7111yescharacteristic
608C2×C4C2×#1176586411yescharacteristic
609C2×C4#1455617311yescharacteristic
610C2×C4#1455617411yescharacteristic
611C8—1422no—
612C8—1422no—
613C8—1422no—
614C8—1422no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22C22×Dic71⋊C411yescharacteristic
630C22#1798663711yescharacteristic
631C22#1798664311yescharacteristic
632C22#1798679711yescharacteristic
633C22#1798679711yescharacteristic
634C22#1798680211yescharacteristic
635C22#1798681411yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—22no—
640C4—42no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4—2842no—
645C4—5681no—
646C4—5681no—
647C4—5681no—
648C4C4×#1176586411yescharacteristic
649C4#1798647111yescharacteristic
650C4#1798670611yescharacteristic
651C4#1798670811yescharacteristic
652C2—42no—
653C2—42no—
654C2#2259124511yescharacteristic
655C2#2259692911yescharacteristic
656C2#2259693811yescharacteristic
657C2#2260053511yescharacteristic
658C2#2260054111yescharacteristic
659C2#2260060211yescharacteristic
660C2#2260060811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#2352C2
socleC23×C71C22×D4
prime radicalC22×D4×C71D4
cosocleC22×C4×C71C24
hypercenter#2352D71
hypocenterC71#22716
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
3. #22589108C2semidirect
4. #22589106C2semidirect
5. #22588539C2semidirect
6. #22588537C2semidirect
7. #22588528C2semidirect
8. #22588527C2semidirect
9. #22588470C2semidirect
10. #22588371C2semidirect
11. #22588371C2semidirect
12. C4×#14556061C2semidirect
13. #22588061C2semidirect
14. #22588059C2semidirect
20. #17986077C4semidirect
65. C2×#11765849C2×C4semidirect
66. C2×#11765849C2×C4semidirect
91. C4⋊(C71⋊C8)C2×C4semidirect
92. C22⋊(C71⋊C8)C2×C4semidirect
93. C22⋊(C71⋊C8)C2×C4semidirect
94. C4×C71⋊C8C2×C4semidirect
346. C71#22716semidirect

Maximal subgroups

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

subgroupindex
C2×#179860772
#225912692
#225891082
#225891062
#225885392
#225885372
#225885282
#225885272
#225884702
#225883712
C4×#145560612
#225880612
#225880592
C71×#23522
#2271671