Finite Group Databasebeta

← #32005388

Subgroups — #32005388

Order 18176.

848 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×#17986127C211yesmaximal, characteristic, complemented
2C2×#17986072C211yesmaximal, characteristic
3#22591626C211yesmaximal, characteristic
4#22589276C211yesmaximal, characteristic, complemented
5#22589134C211yesmaximal, characteristic
6#22588953C211yesmaximal, characteristic, complemented
7#22588953C211yesmaximal, characteristic, complemented
8#22588946C211yesmaximal, characteristic, complemented
9#22588946C211yesmaximal, characteristic, complemented
10#22588460C211yesmaximal, characteristic, complemented
11#22588125C211yesmaximal, characteristic, complemented
12#22588123C211yesmaximal, characteristic, complemented
13#22588117C211yesmaximal, characteristic, complemented
14C8×(C2×D71)⋊C4C211yesmaximal, characteristic, complemented
15C71×#1726C211yesmaximal, characteristic, complemented
16C22×#11765848C2211yescharacteristic
17C22×C8×D71C2211yescharacteristic
18C2×C4×Dic142C2211yescharacteristic
19C2×C4×D284C2211yescharacteristic
20#17986127—24no—
21#17986072—24no—
22C2×C4⋊(C71⋊C8)C2211yescharacteristic
23C2×C4⋊(C71⋊C8)C2211yescharacteristic
24C2×Dic71⋊C8C2211yescharacteristic
25C2×Dic71⋊C8C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27C2×(C2×D71)⋊C8C2211yescharacteristic
28C2×(C2×D71)⋊C8C2211yescharacteristic
29C2×(C2×D71)⋊C8C2211yescharacteristic
30C2×(C2×D71)⋊C8C2211yescharacteristic
31C2×(C2×D71)⋊C8C2211yescharacteristic
32C2×#14556038C2211yescharacteristic
33C2×C8×Dic71C2211yescharacteristic
34#17985939C411yescharacteristic
35#17985939C411yescharacteristic
36#17985926C411yescharacteristic
37#17985926C411yescharacteristic
38#17985917C411yescharacteristic
39#17985917C411yescharacteristic
40#17985912C411yescharacteristic
41#17985912C411yescharacteristic
42C4×(C2×D71)⋊C4C2211yescharacteristic
43C4×(C2×D71)⋊C4C2211yescharacteristic
44C4×(C2×D71)⋊C4C2211yescharacteristic
45C4×(C2×D71)⋊C4C2211yescharacteristic
46#17985754C2211yescharacteristic
47#17985754C2211yescharacteristic
48#17985754C2211yescharacteristic
49#17985754C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53#17985753C2211yescharacteristic
54C2×#97×C71C2211yescharacteristic
55C2×#97×C71C2211yescharacteristic
56C2×#97×C71C2211yescharacteristic
57C2×C4×C8×C71C2211yescharacteristic
58C2×C4×C8×C71C2211yescharacteristic
59C2×C4×C8×C71C2211yescharacteristic
60#376×C71C2211yescharacteristic
61C22×Dic142C2×C411yescharacteristic
62C22×D284C2×C411yescharacteristic
63C22×C4×D71C2311yescharacteristic
64C22×C4×D71C2311yescharacteristic
65C2×#11765848—22no—
66C2×#11765848—22no—
67C2×#11765848—22no—
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C22×C71⋊C8C2311yescharacteristic
71C22×C71⋊C8C2311yescharacteristic
72C2×C8×D71—22no—
73C2×C8×D71—22no—
74C2×C8×D71—22no—
75C4×Dic142—22no—
76C4×Dic142—22no—
77C4×D284—22no—
78C4×D284—22no—
79C2×C4⋊Dic71C2×C411yescharacteristic
80C2×C4⋊Dic71C2×C411yescharacteristic
81C2×Dic71⋊C4C2×C411yescharacteristic
82C2×Dic71⋊C4C2×C411yescharacteristic
83C2×(C2×D71)⋊C4C2×C411yescharacteristic
84C2×(C2×D71)⋊C4C2×C411yescharacteristic
85C2×(C2×D71)⋊C4C2×C411yescharacteristic
86C2×(C2×D71)⋊C4C2×C411yescharacteristic
87C2×(C2×D71)⋊C4C2×C411yescharacteristic
88C2×(C2×D71)⋊C4C2×C411yescharacteristic
89C2×(C2×D71)⋊C4C2×C411yescharacteristic
90C2×(C2×D71)⋊C4C2×C411yescharacteristic
91C2×(C2×D71)⋊C4C2×C411yescharacteristic
92C2×(C2×D71)⋊C4C2×C411yescharacteristic
93C2×C4×Dic71C2311yescharacteristic
94C2×C4×Dic71C2311yescharacteristic
95C4⋊(C71⋊C8)—22no—
96C4⋊(C71⋊C8)—22no—
97Dic71⋊C8—22no—
98Dic71⋊C8—22no—
99(C2×D71)⋊C8—22no—
100(C2×D71)⋊C8—22no—
101(C2×D71)⋊C8—22no—
102(C2×D71)⋊C8—22no—
103(C2×D71)⋊C8—22no—
104(C2×D71)⋊C8—22no—
105#14556038—22no—
106C8×Dic71—22no—
107C71⋊#95C2×C411yescharacteristic
108C71⋊#95C2×C411yescharacteristic
109C71⋊#95C2×C411yescharacteristic
110C71⋊#95C2×C411yescharacteristic
111C71⋊#95C2×C411yescharacteristic
112C71⋊#95C2×C411yescharacteristic
113C71⋊#95C2×C411yescharacteristic
114C71⋊#95C2×C411yescharacteristic
115C22×C8×C71C2311yescharacteristic
116C22×C8×C71C2311yescharacteristic
117C22×C8×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C2×C42×C71C2311yescharacteristic
120C2×C42×C71C2311yescharacteristic
121C2×C42×C71C2311yescharacteristic
122#97×C71—22no—
123#97×C71—22no—
124#97×C71D414yes—
125C4×C8×C71—22no—
126C4×C8×C71—22no—
127C4×C8×C71—22no—
128#95×C71C2×C411yescharacteristic
129#95×C71C2×C411yescharacteristic
130#95×C71C2×C411yescharacteristic
131#95×C71C2×C411yescharacteristic
132C23×D71C22×C411yescharacteristic
133C23×D71C22×C411yescharacteristic
134C2×Dic142—22no—
135C2×Dic142—22no—
136C2×Dic142—41no—
137C2×D284—22no—
138C2×D284—22no—
139C2×D284—41no—
140C22×Dic71C22×C411yescharacteristic
141C22×Dic71C22×C411yescharacteristic
142C22×Dic71C22×C411yescharacteristic
143C22×Dic71C22×C411yescharacteristic
144C22×Dic71C22×C411yescharacteristic
145C22×Dic71C22×C411yescharacteristic
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C4×D71—21no—
150C2×C4×D71—21no—
151C2×C4×D71—21no—
152C2×C4×D71—21no—
153C2×C4×D71—21no—
154C2×C4×D71—21no—
155C2×C4×D71—21no—
156C2×C4×D71—21no—
157C2×C4×D71—21no—
158#11765848—44no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8—21no—
161C2×C71⋊C8—21no—
162C2×C71⋊C8—21no—
163C2×C71⋊C8—21no—
164C2×C71⋊C8—21no—
165C2×C71⋊C8—21no—
166C2×C71⋊C8—21no—
167C2×C71⋊C8—21no—
168C2×C71⋊C8—21no—
169C2×C71⋊C8—21no—
170C2×C71⋊C8—21no—
171C8×D71—44no—
172C4⋊Dic71—22no—
173C4⋊Dic71—22no—
174Dic71⋊C4—22no—
175Dic71⋊C4—22no—
176(C2×D71)⋊C4—22no—
177(C2×D71)⋊C4—22no—
178(C2×D71)⋊C4—22no—
179(C2×D71)⋊C4—22no—
180(C2×D71)⋊C4—22no—
181(C2×D71)⋊C4—22no—
182(C2×D71)⋊C4—41no—
183(C2×D71)⋊C4—41no—
184(C2×D71)⋊C4—41no—
185(C2×D71)⋊C4—41no—
186C4×Dic71—21no—
187C4×Dic71—21no—
188C4×Dic71—21no—
189C4×Dic71—21no—
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C22×C411yescharacteristic
195C22×C4×C71C22×C411yescharacteristic
196C22×C4×C71C2411yescharacteristic
197C2×C8×C71—21no—
198C2×C8×C71—21no—
199C2×C8×C71—21no—
200C2×C8×C71—21no—
201C2×C8×C71—21no—
202C2×C8×C71—21no—
203C2×C8×C71C2×D412yes—
204C2×C8×C71C2×D412yes—
205C2×C8×C71#4112yes—
206C2×C8×C71#4112yes—
207C2×C8×C71#4112yes—
208C2×C8×C71#4112yes—
209C42×C71—21no—
210C42×C71—21no—
211C42×C71—21no—
212C42×C71—21no—
213C42×C71C2×D412yes—
214C42×C71#4112yes—
215C23×C71C23×C411yescharacteristic
216C22×D71—21no—
217C22×D71—21no—
218C22×D71—21no—
219C22×D71—21no—
220C22×D71—21no—
221C22×D71—21no—
222C22×D71—21no—
223C22×D71—21no—
224C22×D71—21no—
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71#13112yes—
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—21no—
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×C71C4×D412yes—
247C2×C4×C71C4×D412yes—
248C2×C4×C71C22×D411yescharacteristic
249C2×C4×C71C2×#4111yescharacteristic
250C2×C4×C71C2×#4111yescharacteristic
251C2×C4×C71C2×#4111yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×Dic71—21no—
255C2×Dic71—21no—
256C2×Dic71—21no—
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#13112yes—
272D284—44no—
273C4×D71—41no—
274C4×D71—41no—
275C4×D71—41no—
276C4×D71—41no—
277C4×D71—41no—
278C4×D71—41no—
279C4×D71—41no—
280C4×D71—41no—
281Dic142—44no—
282C8×C71—22no—
283C8×C71—22no—
284C8×C71—22no—
285C8×C71#12414yes—
286C71⋊C8—41no—
287C71⋊C8—41no—
288C71⋊C8—41no—
289C71⋊C8—41no—
290C22×C71C2×C4×D411yescharacteristic
291C22×C71C4×#4111yescharacteristic
292C22×C71C4×#4111yescharacteristic
293C22×C71C2×#13111yescharacteristic
294C22×C71C2×#13111yescharacteristic
295C22×C71#56811yescharacteristic
296C22×C71#56811yescharacteristic
297C2×D71—22no—
298C2×D71—22no—
299C2×D71—22no—
300C2×D71—41no—
301C2×D71—41no—
302C2×D71—41no—
303C2×D71—41no—
304C2×D71—41no—
305C2×D71—41no—
306C2×D71—41no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C4×C71—22no—
312C4×C71—22no—
313C4×C71—41no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71—41no—
317C4×C71C2×#12411yescharacteristic
318C4×C71#52911yescharacteristic
319C4×C71#52911yescharacteristic
320C4×C71#53211yescharacteristic
321Dic71—22no—
322Dic71—41no—
323Dic71—41no—
324Dic71—41no—
325Dic71—41no—
326Dic71—41no—
327#21637—711nomaximal, Sylow
328C2×C71C4×#12411yescharacteristic
329C2×C71#293311yescharacteristic
330C2×C71#293311yescharacteristic
331C2×C71#296611yescharacteristic
332C2×C71#296711yescharacteristic
333C2×C71#296811yescharacteristic
334C2×C71#296911yescharacteristic
335D71—42no—
336D71—81no—
337C2×#446—711no—
338C2×#435—711no—
339#2398—711no—
340#1984—711no—
341#1954—711no—
342#1924—711no—
343#1924—711no—
344#1923—711no—
345#1923—711no—
346#1832—711no—
347#1753—711no—
348#1753—711no—
349#1752—711no—
350C8×C22⋊C4—711no—
351#1726D7111yescharacteristic, complemented
352C71#2163711yescharacteristic, complemented, Sylow
353C22×M16—711no—
354C23×C8—711no—
355C2×C4×Q8—711no—
356C2×C4×D4—711no—
357#446—1424no—
358#435—1424no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8—711no—
362C2×C4⋊C8—711no—
363C2×C22⋊C8—711no—
364C2×C22⋊C8—711no—
365C2×C22⋊C8—711no—
366C2×C22⋊C8—711no—
367C2×C22⋊C8—711no—
368C2×C22⋊C8—711no—
369C2×#97—711no—
370C2×#97C2×D7111yescharacteristic
371C2×#97C2×D7111yescharacteristic
372C2×#97C2×D7111yescharacteristic
373C2×C4×C8—711no—
374C2×C4×C8C2×D7111yescharacteristic
375C2×C4×C8C2×D7111yescharacteristic
376C2×C4×C8C2×D7111yescharacteristic
377#400—711no—
378#400—711no—
379#397—711no—
380#397—711no—
381#394—711no—
382#394—711no—
383#393—711no—
384#393—711no—
385C4×C22⋊C4—711no—
386C4×C22⋊C4—711no—
387C4×C22⋊C4—711no—
388C4×C22⋊C4—711no—
389#376C2×D7111yescharacteristic
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×Q8—711no—
399C22×D4—711no—
400C23×C4—711no—
401C23×C4—711no—
402C2×M16—1422no—
403C2×M16—1422no—
404C2×M16—1422no—
405C22×C8—711no—
406C22×C8—711no—
407C22×C8—711no—
408C22×C8—711no—
409C22×C8—1422no—
410C22×C8—1422no—
411C22×C8—1422no—
412C22×C8C22×D7111yescharacteristic
413C22×C8C22×D7111yescharacteristic
414C22×C8C22×D7111yescharacteristic
415C22×C8C22×D7111yescharacteristic
416C4×Q8—1422no—
417C4×Q8—1422no—
418C4×D4—1422no—
419C4×D4—1422no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—711no—
423C2×C4⋊C4—711no—
424C2×C22⋊C4—711no—
425C2×C22⋊C4—711no—
426C2×C22⋊C4—711no—
427C2×C22⋊C4—711no—
428C2×C22⋊C4—711no—
429C2×C22⋊C4—711no—
430C2×C22⋊C4—711no—
431C2×C22⋊C4—711no—
432C2×C22⋊C4—711no—
433C2×C22⋊C4—711no—
434C2×C42—711no—
435C2×C42—711no—
436C2×C42C22×D7111yescharacteristic
437C2×C42C22×D7111yescharacteristic
438C2×C42C22×D7111yescharacteristic
439C4⋊C8—1422no—
440C4⋊C8—1422no—
441C4⋊C8—1422no—
442C4⋊C8—1422no—
443C22⋊C8—1422no—
444C22⋊C8—1422no—
445C22⋊C8—1422no—
446C22⋊C8—1422no—
447C22⋊C8—1422no—
448C22⋊C8—1422no—
449#97—22no—
450#97—22no—
451#97—1422no—
452#97D28414yes—
453C4×C8—22no—
454C4×C8—22no—
455C4×C8—22no—
456C4×C8—1422no—
457#95—711no—
458#95—711no—
459#95—711no—
460#95—711no—
461#95—711no—
462#95—711no—
463#95—711no—
464#95—711no—
465#95C4×D7111yescharacteristic
466#95C4×D7111yescharacteristic
467#95C4×D7111yescharacteristic
468#95C4×D7111yescharacteristic
469C24—711no—
470C24—711no—
471C2×Q8—2841no—
472C2×Q8—1422no—
473C2×Q8—1422no—
474C2×D4—2841no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—711no—
478C22×C4—711no—
479C22×C4—711no—
480C22×C4—711no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—1421no—
484C22×C4—1421no—
485C22×C4—1421no—
486C22×C4—1421no—
487C22×C4—1421no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4—1421no—
495C22×C4C2×C4×D7111yescharacteristic
496C22×C4C2×C4×D7111yescharacteristic
497C22×C4C2×C4×D7111yescharacteristic
498C22×C4C2×C4×D7111yescharacteristic
499C22×C4C2×C4×D7111yescharacteristic
500C22×C4C2×C4×D7111yescharacteristic
501C22×C4C23×D7111yescharacteristic
502M16—2844no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—2844no—
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×C8—1421no—
521C2×C8—1421no—
522C2×C8C2×D28412yes—
523C2×C8C2×D28412yes—
524C2×C8#1176586512yes—
525C2×C8#1176586512yes—
526C2×C8#1176586512yes—
527C2×C8#1176586512yes—
528C4⋊C4—1422no—
529C4⋊C4—1422no—
530C4⋊C4—1422no—
531C4⋊C4—1422no—
532C22⋊C4—2841no—
533C22⋊C4—2841no—
534C22⋊C4—2841no—
535C22⋊C4—2841no—
536C22⋊C4—1422no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—1421no—
547C42—1421no—
548C42—1421no—
549C42—1421no—
550C42C2×D28412yes—
551C42#1176586512yes—
552C23—712no—
553C23—1421no—
554C23—1421no—
555C23—1421no—
556C23—1421no—
557C23—1421no—
558C23—1421no—
559C23—1421no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23C22×C4×D7111yescharacteristic
567Q8—2844no—
568D4—2844no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
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—2841no—
586C2×C4—2841no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—712no—
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×C4C4×D28412yes—
612C2×C4C4×D28412yes—
613C2×C4C22×D28411yescharacteristic
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#1455611614yes—
627C22—2841no—
628C22—2841no—
629C22—2841no—
630C22—2841no—
631C22—2841no—
632C22—2841no—
633C22—2841no—
634C22—2841no—
635C22—2841no—
636C22—2841no—
637C22—2841no—
638C22—1422no—
639C22—1422no—
640C22—1422no—
641C22C2×C4×D28411yescharacteristic
642C22C4×#1176586511yescharacteristic
643C22C4×#1176586511yescharacteristic
644C22#131×D7111yescharacteristic
645C22#131×D7111yescharacteristic
646C22#1798676411yescharacteristic
647C22#1798676411yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—2841no—
655C4—2841no—
656C4—2841no—
657C4—2841no—
658C4—2841no—
659C4—1422no—
660C4C2×#1455611611yescharacteristic
661C4#1798653311yescharacteristic
662C4#1798653311yescharacteristic
663C4#1798654911yescharacteristic
664C2—2842no—
665C2—5681no—
666C2C4×#1455611611yescharacteristic
667C2#2259706811yescharacteristic
668C2#2259706811yescharacteristic
669C2#2259731111yescharacteristic
670C2#2259732111yescharacteristic
671C2#2259733011yescharacteristic
672C2#2259734011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1726C2
prime radicalC22×D284C2×C4
cosocleC22×C4×C71C24
hypercenter#1726D71
hypocenterC71#21637
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1726

Complements

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

NH ≅ G/Ntype
1. C2×#17986127C2semidirect
4. #22589276C2semidirect
6. #22588953C2semidirect
7. #22588953C2semidirect
8. #22588946C2semidirect
9. #22588946C2semidirect
10. #22588460C2semidirect
11. #22588125C2semidirect
12. #22588123C2semidirect
13. #22588117C2semidirect
14. C8×(C2×D71)⋊C4C2semidirect
15. C71×#1726C2semidirect
351. #1726D71semidirect
352. C71#21637semidirect

Maximal subgroups

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

subgroupindex
C2×#179861272
C2×#179860722
#225916262
#225892762
#225891342
#225889532
#225889462
#225884602
#225881252
#225881232
#225881172
C8×(C2×D71)⋊C42
C71×#17262
#2163771