Finite Group Databasebeta

← #32004509

Subgroups — #32004509

Order 18176.

878 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986068C211yesmaximal, characteristic
2#22591597C211yesmaximal, characteristic
3#22588953C211yesmaximal, characteristic, complemented
4#22588946C211yesmaximal, characteristic, complemented
5#22588904C211yesmaximal, characteristic, complemented
6#22588897C211yesmaximal, characteristic, complemented
7#22588632C211yesmaximal, characteristic
8#22588518C211yesmaximal, characteristic, complemented
9#22588411C211yesmaximal, characteristic, complemented
10#22588214C211yesmaximal, characteristic, complemented
11#22588208C211yesmaximal, characteristic, complemented
12#22588121C211yesmaximal, characteristic, complemented
13#22588117C211yesmaximal, characteristic, complemented
14C8×(C2×D71)⋊C4C211yesmaximal, characteristic, complemented
15C2×#405×C71C211yesmaximal, characteristic, complemented
16C22×C8×D71C2211yescharacteristic
17C2×C4×C22⋊D71C2211yescharacteristic
18#17986068—24no—
19C2×Dic71⋊C8C2211yescharacteristic
20C2×Dic71⋊C8C2211yescharacteristic
21C2×Dic71⋊C8C2211yescharacteristic
22C2×C22⋊(C71⋊C8)C2211yescharacteristic
23C2×C22⋊(C71⋊C8)C2211yescharacteristic
24C2×(C2×D71)⋊C8C2211yescharacteristic
25C2×(C2×D71)⋊C8C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27C2×#14556038C2211yescharacteristic
28C2×#14556038C2211yescharacteristic
29C2×C8×Dic71C2211yescharacteristic
30#17985937C411yescharacteristic
31#17985934C411yescharacteristic
32#17985930C411yescharacteristic
33#17985927C411yescharacteristic
34#17985927C411yescharacteristic
35#17985925C411yescharacteristic
36#17985914C411yescharacteristic
37#17985914C411yescharacteristic
38C4×Dic71⋊C4C2211yescharacteristic
39C4×Dic71⋊C4C2211yescharacteristic
40C4×(C2×D71)⋊C4C2211yescharacteristic
41C4×(C2×D71)⋊C4C2211yescharacteristic
42C4×C22⋊Dic71C2211yescharacteristic
43#17985754C2211yescharacteristic
44#17985754C2211yescharacteristic
45#17985754C2211yescharacteristic
46#17985754C2211yescharacteristic
47#17985753C2211yescharacteristic
48#17985753C2211yescharacteristic
49#17985753C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53C22×M16×C71C2211yescharacteristic
54C23×C8×C71C2211yescharacteristic
55C2×#117×C71C2211yescharacteristic
56#405×C71—24no—
57C2×#97×C71C2211yescharacteristic
58C2×#97×C71C2211yescharacteristic
59C2×C4×C8×C71C2211yescharacteristic
60C2×C4×C8×C71C2211yescharacteristic
61C22×C22⋊D71C2×C411yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C22×C71⋊C8C2311yescharacteristic
64C22×C71⋊C8C2311yescharacteristic
65C22×C71⋊C8C2311yescharacteristic
66C22×C71⋊C8C2311yescharacteristic
67C2×C8×D71—22no—
68C2×C8×D71—22no—
69C2×C8×D71—22no—
70C4×C22⋊D71—22no—
71C4×C22⋊D71—22no—
72C2×Dic71⋊C4C2×C411yescharacteristic
73C2×Dic71⋊C4C2×C411yescharacteristic
74C2×Dic71⋊C4C2×C411yescharacteristic
75C2×Dic71⋊C4C2×C411yescharacteristic
76C2×Dic71⋊C4C2×C411yescharacteristic
77C2×C22⋊Dic71C2×C411yescharacteristic
78C2×C22⋊Dic71C2×C411yescharacteristic
79C2×C22⋊Dic71C2×C411yescharacteristic
80C2×(C2×D71)⋊C4C2×C411yescharacteristic
81C2×(C2×D71)⋊C4C2×C411yescharacteristic
82C2×(C2×D71)⋊C4C2×C411yescharacteristic
83C2×(C2×D71)⋊C4C2×C411yescharacteristic
84C2×(C2×D71)⋊C4C2×C411yescharacteristic
85C2×C4×Dic71C2311yescharacteristic
86C2×C4×Dic71C2311yescharacteristic
87C2×C4×Dic71C2311yescharacteristic
88Dic71⋊C8—22no—
89Dic71⋊C8—22no—
90Dic71⋊C8—22no—
91C22⋊(C71⋊C8)—22no—
92C22⋊(C71⋊C8)—22no—
93(C2×D71)⋊C8—22no—
94(C2×D71)⋊C8—22no—
95(C2×D71)⋊C8—22no—
96#14556038—22no—
97#14556038—22no—
98C8×Dic71—22no—
99C71⋊#95C2×C411yescharacteristic
100C71⋊#95C2×C411yescharacteristic
101C71⋊#95C2×C411yescharacteristic
102C71⋊#95C2×C411yescharacteristic
103C71⋊#95C2×C411yescharacteristic
104C71⋊#95C2×C411yescharacteristic
105C71⋊#95C2×C411yescharacteristic
106C71⋊#95C2×C411yescharacteristic
107C71⋊#95C2×C411yescharacteristic
108C71⋊#95C2×C411yescharacteristic
109C23×C4×C71C2311yescharacteristic
110C2×M16×C71—22no—
111C2×M16×C71—22no—
112C2×M16×C71D414yes—
113C22×C8×C71—22no—
114C22×C8×C71—22no—
115C22×C8×C71—22no—
116C22×C8×C71C2311yescharacteristic
117C22×C8×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C22×C8×C71C2311yescharacteristic
120#117×C71—22no—
121#117×C71—22no—
122C2×C4⋊C4×C71C2×C411yescharacteristic
123C2×C4⋊C4×C71C2×C411yescharacteristic
124C2×C22⋊C4×C71C2×C411yescharacteristic
125C2×C22⋊C4×C71C2×C411yescharacteristic
126C2×C42×C71C2311yescharacteristic
127C2×C42×C71C2311yescharacteristic
128#97×C71—22no—
129#97×C71—22no—
130C4×C8×C71—22no—
131C4×C8×C71—22no—
132C23×D71C22×C411yescharacteristic
133C2×C22⋊D71—22no—
134C2×C22⋊D71—22no—
135C2×C22⋊D71—41no—
136C22×Dic71C22×C411yescharacteristic
137C22×Dic71C22×C411yescharacteristic
138C22×Dic71C22×C411yescharacteristic
139C22×Dic71C22×C411yescharacteristic
140C22×Dic71C22×C411yescharacteristic
141C22×Dic71C22×C411yescharacteristic
142C22×Dic71C22×C411yescharacteristic
143C2×C4×D71—21no—
144C2×C4×D71—21no—
145C2×C4×D71—21no—
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C71⋊C8—21no—
150C2×C71⋊C8—21no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—21no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8—21no—
161C8×D71—44no—
162Dic71⋊C4—22no—
163Dic71⋊C4—22no—
164Dic71⋊C4—41no—
165Dic71⋊C4—41no—
166Dic71⋊C4—41no—
167C22⋊Dic71—22no—
168C22⋊Dic71—22no—
169C22⋊Dic71—41no—
170(C2×D71)⋊C4—22no—
171(C2×D71)⋊C4—22no—
172(C2×D71)⋊C4—22no—
173(C2×D71)⋊C4—22no—
174(C2×D71)⋊C4—41no—
175C4×Dic71—21no—
176C4×Dic71—21no—
177C4×Dic71—21no—
178C4×Dic71—21no—
179C4×Dic71—21no—
180C4×Dic71—21no—
181C24×C71C22×C411yescharacteristic
182C22×C4×C71—21no—
183C22×C4×C71—21no—
184C22×C4×C71—21no—
185C22×C4×C71—21no—
186C22×C4×C71C22×C411yescharacteristic
187C22×C4×C71C22×C411yescharacteristic
188C22×C4×C71C22×C411yescharacteristic
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C2×D412yes—
192C22×C4×C71#4112yes—
193C22×C4×C71C2411yescharacteristic
194M16×C71—28no—
195C2×C8×C71—28no—
196C2×C8×C71—21no—
197C2×C8×C71—21no—
198C2×C8×C71—21no—
199C2×C8×C71—21no—
200C2×C8×C71—21no—
201C2×C8×C71—21no—
202C2×C8×C71C2×D412yes—
203C2×C8×C71C2×D412yes—
204C2×C8×C71#4112yes—
205C2×C8×C71#4112yes—
206C2×C8×C71#4112yes—
207C2×C8×C71#4112yes—
208C4⋊C4×C71—22no—
209C4⋊C4×C71—22no—
210C22⋊C4×C71—22no—
211C22⋊C4×C71—22no—
212C42×C71—21no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71—21no—
216C23×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71C4×D412yes—
223C23×C71C23×C411yescharacteristic
224C22×D71—21no—
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71#13112yes—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—22no—
234C2×C4×C71—22no—
235C2×C4×C71—22no—
236C2×C4×C71—22no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—21no—
241C2×C4×C71—21no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—21no—
245C2×C4×C71—21no—
246C2×C4×C71—21no—
247C2×C4×C71—21no—
248C2×C4×C71—21no—
249C2×C4×C71C4×D412yes—
250C2×C4×C71C22×D411yescharacteristic
251C2×C4×C71C2×#4111yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71C2×#4111yescharacteristic
256C22⋊D71—44no—
257C2×Dic71—21no—
258C2×Dic71—21no—
259C2×Dic71—21no—
260C2×Dic71—21no—
261C2×Dic71—21no—
262C2×Dic71—21no—
263C2×Dic71—21no—
264C2×Dic71—21no—
265C2×Dic71—21no—
266C2×Dic71—21no—
267C2×Dic71—21no—
268C2×Dic71—21no—
269C2×Dic71—21no—
270C2×Dic71—21no—
271C2×Dic71—21no—
272C2×Dic71—21no—
273C2×Dic71—21no—
274C2×Dic71—21no—
275C2×Dic71—21no—
276C2×Dic71—21no—
277C2×Dic71#13112yes—
278C4×D71—41no—
279C4×D71—41no—
280C4×D71—41no—
281C4×D71—41no—
282C8×C71—22no—
283C8×C71—22no—
284C8×C71—22no—
285C8×C71#12314yes—
286C71⋊C8—41no—
287C71⋊C8—41no—
288C71⋊C8—41no—
289C71⋊C8—41no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71C2×C4×D411yescharacteristic
298C22×C71C4×#4111yescharacteristic
299C22×C71C4×#4111yescharacteristic
300C22×C71C2×#13111yescharacteristic
301C22×C71C2×#13111yescharacteristic
302C22×C71#56811yescharacteristic
303C22×C71#56811yescharacteristic
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—22no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C4×C71—22no—
312C4×C71—41no—
313C4×C71—41no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71C2×#12311yescharacteristic
317C4×C71#52511yescharacteristic
318C4×C71#52911yescharacteristic
319C4×C71#52911yescharacteristic
320Dic71—22no—
321Dic71—41no—
322Dic71—41no—
323Dic71—41no—
324Dic71—41no—
325Dic71—41no—
326Dic71—41no—
327#21568—711nomaximal, Sylow
328C2×C71—42no—
329C2×C71C4×#12311yescharacteristic
330C2×C71#293311yescharacteristic
331C2×C71#293511yescharacteristic
332C2×C71#296611yescharacteristic
333C2×C71#296711yescharacteristic
334C2×C71#296811yescharacteristic
335C2×C71#296811yescharacteristic
336D71—42no—
337C2×#435—711no—
338C2×#405D7111yescharacteristic, complemented
339#2395—711no—
340#1924—711no—
341#1923—711no—
342#1917—711no—
343#1916—711no—
344#1869—711no—
345#1850—711no—
346#1818—711no—
347#1771—711no—
348#1770—711no—
349#1753—711no—
350#1752—711no—
351C8×C22⋊C4—711no—
352C71#2156811yescharacteristic, complemented, Sylow
353C22×M16C2×D7111yescharacteristic
354C23×C8—711no—
355C23×C8C2×D7111yescharacteristic
356C2×C4×D4—711no—
357C2×#117C2×D7111yescharacteristic
358#435—1424no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8—711no—
362C2×C22⋊C8—711no—
363C2×C22⋊C8—711no—
364C2×C22⋊C8—711no—
365C2×C22⋊C8—711no—
366C2×C22⋊C8—711no—
367#405—24no—
368C2×#97—711no—
369C2×#97—711no—
370C2×#97C2×D7111yescharacteristic
371C2×#97C2×D7111yescharacteristic
372C2×C4×C8—711no—
373C2×C4×C8C2×D7111yescharacteristic
374C2×C4×C8C2×D7111yescharacteristic
375#400—711no—
376#399—711no—
377#398—711no—
378#397—711no—
379#397—711no—
380#397—711no—
381#394—711no—
382#394—711no—
383C4×C4⋊C4—711no—
384C4×C4⋊C4—711no—
385C4×C22⋊C4—711no—
386C4×C22⋊C4—711no—
387C4×C22⋊C4—711no—
388#336—711no—
389#336—711no—
390#336—711no—
391#336—711no—
392#336—711no—
393#336—711no—
394#336—711no—
395#336—711no—
396#336—711no—
397#336—711no—
398C22×D4—711no—
399C23×C4—711no—
400C23×C4C22×D7111yescharacteristic
401C2×M16—22no—
402C2×M16—22no—
403C2×M16C22⋊D7114yes—
404C22×C8—22no—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8—711no—
408C22×C8—711no—
409C22×C8—711no—
410C22×C8—711no—
411C22×C8—1422no—
412C22×C8—1422no—
413C22×C8—1422no—
414C22×C8C22×D7111yescharacteristic
415C22×C8C22×D7111yescharacteristic
416C22×C8C22×D7111yescharacteristic
417C22×C8C22×D7111yescharacteristic
418C4×D4—1422no—
419C4×D4—1422no—
420#117—22no—
421#117—22no—
422C2×C4⋊C4—711no—
423C2×C4⋊C4—711no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4C4×D7111yescharacteristic
428C2×C4⋊C4C4×D7111yescharacteristic
429C2×C22⋊C4—711no—
430C2×C22⋊C4—711no—
431C2×C22⋊C4—711no—
432C2×C22⋊C4—711no—
433C2×C22⋊C4—711no—
434C2×C22⋊C4—711no—
435C2×C22⋊C4—711no—
436C2×C22⋊C4—711no—
437C2×C22⋊C4C4×D7111yescharacteristic
438C2×C22⋊C4C4×D7111yescharacteristic
439C2×C42—711no—
440C2×C42—711no—
441C2×C42—711no—
442C2×C42C22×D7111yescharacteristic
443C2×C42C22×D7111yescharacteristic
444C4⋊C8—1422no—
445C4⋊C8—1422no—
446C4⋊C8—1422no—
447C22⋊C8—1422no—
448C22⋊C8—1422no—
449C22⋊C8—1422no—
450C22⋊C8—1422no—
451C22⋊C8—1422no—
452#97—22no—
453#97—22no—
454#97—1422no—
455#97—1422no—
456C4×C8—22no—
457C4×C8—22no—
458C4×C8—1422no—
459#95—711no—
460#95—711no—
461#95—711no—
462#95—711no—
463#95—711no—
464#95—711no—
465#95—711no—
466#95—711no—
467#95—711no—
468#95—711no—
469C24—711no—
470C24C2×C4×D7111yescharacteristic
471C2×D4—2841no—
472C2×D4—1422no—
473C2×D4—1422no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—711no—
479C22×C4—711no—
480C22×C4—711no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—1421no—
486C22×C4—1421no—
487C22×C4—1421no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4C2×C4×D7111yescharacteristic
492C22×C4C2×C4×D7111yescharacteristic
493C22×C4C2×C4×D7111yescharacteristic
494C22×C4C2×C4×D7111yescharacteristic
495C22×C4C2×C4×D7111yescharacteristic
496C22×C4C2×C22⋊D7112yes—
497C22×C4#1176586512yes—
498C22×C4C23×D7111yescharacteristic
499M16—28no—
500C2×C8—28no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—2844no—
508C2×C8—1421no—
509C2×C8—1421no—
510C2×C8—1421no—
511C2×C8—1421no—
512C2×C8—1421no—
513C2×C8—1421no—
514C2×C8—1421no—
515C2×C8—1421no—
516C2×C8—1421no—
517C2×C8—1421no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8C2×C22⋊D7112yes—
521C2×C8C2×C22⋊D7112yes—
522C2×C8#1176586512yes—
523C2×C8#1176586512yes—
524C2×C8#1176586512yes—
525C2×C8#1176586512yes—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—2841no—
529C4⋊C4—2841no—
530C4⋊C4—2841no—
531C4⋊C4—1422no—
532C4⋊C4—1422no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—2841no—
536C22⋊C4—2841no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C22⋊C4—1422no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—1421no—
548C42—1421no—
549C42—1421no—
550C42—1421no—
551C42—1421no—
552C42—1421no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—712no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23C4×C22⋊D7112yes—
567C23C22×C4×D7111yescharacteristic
568D4—2844no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—712no—
592C2×C4—1421no—
593C2×C4—1421no—
594C2×C4—1421no—
595C2×C4—1421no—
596C2×C4—1421no—
597C2×C4—1421no—
598C2×C4—1421no—
599C2×C4—1421no—
600C2×C4—1421no—
601C2×C4—1421no—
602C2×C4—1421no—
603C2×C4—1421no—
604C2×C4—1421no—
605C2×C4—1421no—
606C2×C4—1421no—
607C2×C4—1421no—
608C2×C4—1421no—
609C2×C4—1421no—
610C2×C4—1421no—
611C2×C4—1421no—
612C2×C4C4×C22⋊D7112yes—
613C2×C4C22×C22⋊D7111yescharacteristic
614C2×C4C2×#1176586511yescharacteristic
615C2×C4C2×#1176586511yescharacteristic
616C2×C4C2×#1176586511yescharacteristic
617C2×C4C2×#1176586511yescharacteristic
618C2×C4C2×#1176586511yescharacteristic
619C8—22no—
620C8—22no—
621C8—22no—
622C8—2841no—
623C8—2841no—
624C8—2841no—
625C8—2841no—
626C8#1455611114yes—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—2841no—
635C22—2841no—
636C22—2841no—
637C22—2841no—
638C22—1422no—
639C22—1422no—
640C22—1422no—
641C22C2×C4×C22⋊D7111yescharacteristic
642C22C4×#1176586511yescharacteristic
643C22C4×#1176586511yescharacteristic
644C22#131×D7111yescharacteristic
645C22#131×D7111yescharacteristic
646C22#1798676411yescharacteristic
647C22#1798676411yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—2841no—
654C4—2841no—
655C4—2841no—
656C4—2841no—
657C4—2841no—
658C4—2841no—
659C4—1422no—
660C4C2×#1455611111yescharacteristic
661C4#1798651011yescharacteristic
662C4#1798653311yescharacteristic
663C4#1798653311yescharacteristic
664C2—42no—
665C2—2842no—
666C2C4×#1455611111yescharacteristic
667C2#2259706211yescharacteristic
668C2#2259708211yescharacteristic
669C2#2259731111yescharacteristic
670C2#2259732111yescharacteristic
671C2#2259733011yescharacteristic
672C2#2259733011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC2×#405×C71C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenterC2×#405D71
hypocenterC71#21568
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C2×#405

Complements

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

NH ≅ G/Ntype
3. #22588953C2semidirect
4. #22588946C2semidirect
5. #22588904C2semidirect
6. #22588897C2semidirect
8. #22588518C2semidirect
9. #22588411C2semidirect
10. #22588214C2semidirect
11. #22588208C2semidirect
12. #22588121C2semidirect
13. #22588117C2semidirect
14. C8×(C2×D71)⋊C4C2semidirect
15. C2×#405×C71C2semidirect
338. C2×#405D71semidirect
352. C71#21568semidirect

Maximal subgroups

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

subgroupindex
C2×#179860682
#225915972
#225889532
#225889462
#225889042
#225888972
#225886322
#225885182
#225884112
#225882142
#225882082
#225881212
#225881172
C8×(C2×D71)⋊C42
C2×#405×C712
#2156871