Finite Group Databasebeta

← #32017143

Subgroups — #32017143

Order 18176.

830 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986057C211yesmaximal, characteristic, complemented
2C2×#17986054C211yesmaximal, characteristic, complemented
3#22590786C211yesmaximal, characteristic
4#22589136C211yesmaximal, characteristic
5#22589132C211yesmaximal, characteristic
6#22588955C211yesmaximal, characteristic, complemented
7#22588952C211yesmaximal, characteristic, complemented
8#22588947C211yesmaximal, characteristic, complemented
9#22588493C211yesmaximal, characteristic, complemented
10#22588322C211yesmaximal, characteristic, complemented
11#22588319C211yesmaximal, characteristic, complemented
12#22588216C211yesmaximal, characteristic, complemented
13#22588206C211yesmaximal, characteristic, complemented
14#22588196C211yesmaximal, characteristic, complemented
15C71×#1924C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D71C2211yescharacteristic
17C2×#14556087C2211yescharacteristic
18C2×C42×D71C2211yescharacteristic
19#17986057—24no—
20#17986054—24no—
21C2×C4⋊(C71⋊C8)C2211yescharacteristic
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊C8C2211yescharacteristic
24C2×Dic71⋊C8C2211yescharacteristic
25C2×Dic71⋊C8C2211yescharacteristic
26C2×Dic71⋊C8C2211yescharacteristic
27C2×Dic71⋊C8C2211yescharacteristic
28C2×C22⋊(C71⋊C8)C2211yescharacteristic
29C2×C22⋊(C71⋊C8)C2211yescharacteristic
30C2×(C2×D71)⋊C8C2211yescharacteristic
31C2×(C2×D71)⋊C8C2211yescharacteristic
32C2×(C2×D71)⋊C8C2211yescharacteristic
33C2×(C2×D71)⋊C8C2211yescharacteristic
34C2×#14556039C2211yescharacteristic
35C2×#14556038C2211yescharacteristic
36C2×#14556038C2211yescharacteristic
37C2×C8×Dic71C2211yescharacteristic
38C2×C8×Dic71C2211yescharacteristic
39#17985893C411yescharacteristic
40#17985893C411yescharacteristic
41#17985886C411yescharacteristic
42#17985886C411yescharacteristic
43#17985875C411yescharacteristic
44#17985875C411yescharacteristic
45#17985873C411yescharacteristic
46#17985873C411yescharacteristic
47C4×Dic71⋊C4C2211yescharacteristic
48C4×(C2×D71)⋊C4C2211yescharacteristic
49#17985845C2211yescharacteristic
50#17985754C2211yescharacteristic
51#17985754C2211yescharacteristic
52#17985753C2211yescharacteristic
53#17985753C2211yescharacteristic
54C2×C4⋊C8×C71C2211yescharacteristic
55C2×C22⋊C8×C71C2211yescharacteristic
56C2×C22⋊C8×C71C2211yescharacteristic
57C2×#97×C71C2211yescharacteristic
58C4×C22⋊C4×C71C2211yescharacteristic
59#336×C71C2211yescharacteristic
60#336×C71C2211yescharacteristic
61C22×C22⋊D71C2×C411yescharacteristic
62C22×C4×D71C2×C411yescharacteristic
63C22×C4×D71C2×C411yescharacteristic
64C22×C4×D71C2311yescharacteristic
65C22×C71⋊C8C2311yescharacteristic
66C22×C71⋊C8C2311yescharacteristic
67C22×C71⋊C8C2311yescharacteristic
68C22×C71⋊C8C2311yescharacteristic
69C4×C22⋊D71—22no—
70C4×C22⋊D71—22no—
71#14556087—22no—
72#14556087—22no—
73C2×C4⋊Dic71C2×C411yescharacteristic
74C2×C4⋊Dic71C2×C411yescharacteristic
75C2×Dic71⋊C4C2×C411yescharacteristic
76C2×Dic71⋊C4C2×C411yescharacteristic
77C2×Dic71⋊C4C2×C411yescharacteristic
78C2×C22⋊Dic71C2×C411yescharacteristic
79C2×C22⋊Dic71C2×C411yescharacteristic
80C2×C22⋊Dic71C2×C411yescharacteristic
81C2×(C2×D71)⋊C4C2×C411yescharacteristic
82C2×(C2×D71)⋊C4C2×C411yescharacteristic
83C2×(C2×D71)⋊C4C2×C411yescharacteristic
84C2×C4×Dic71C2×C411yescharacteristic
85C2×C4×Dic71C2×C411yescharacteristic
86C2×C4×Dic71C2311yescharacteristic
87C2×C4×Dic71C2311yescharacteristic
88C2×C4×Dic71C2311yescharacteristic
89C42×D71—22no—
90C42×D71—22no—
91C4⋊(C71⋊C8)—41no—
92Dic71⋊C8—22no—
93Dic71⋊C8—22no—
94Dic71⋊C8—22no—
95Dic71⋊C8—22no—
96Dic71⋊C8—22no—
97Dic71⋊C8D414yescomplemented
98C22⋊(C71⋊C8)—22no—
99C22⋊(C71⋊C8)—41no—
100(C2×D71)⋊C8—22no—
101(C2×D71)⋊C8—22no—
102(C2×D71)⋊C8—41no—
103(C2×D71)⋊C8—41no—
104#14556039—22no—
105#14556038—22no—
106#14556038—22no—
107C8×Dic71—22no—
108C8×Dic71—22no—
109C71⋊#95C2×C411yescharacteristic
110C71⋊#95C2×C411yescharacteristic
111C71⋊#95C2×C411yescharacteristic
112C71⋊#95C2×C411yescharacteristic
113C71⋊#95C2×C411yescharacteristic
114C71⋊#95C2×C411yescharacteristic
115C71⋊#95C2×C411yescharacteristic
116C71⋊#95C2×C411yescharacteristic
117C23×C4×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C22×C8×C71C2311yescharacteristic
120C22×C8×C71C2311yescharacteristic
121C22×C8×C71C2311yescharacteristic
122C2×C22⋊C4×C71C2×C411yescharacteristic
123C2×C22⋊C4×C71C2×C411yescharacteristic
124C2×C42×C71C2311yescharacteristic
125C2×C42×C71C2311yescharacteristic
126C4⋊C8×C71—41no—
127C22⋊C8×C71—22no—
128C22⋊C8×C71—41no—
129#97×C71—22no—
130#95×C71C2×C411yescharacteristic
131#95×C71C2×C411yescharacteristic
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—22no—
144C2×C4×D71—21no—
145C2×C4×D71—21no—
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C4×D71—21no—
150C2×C4×D71—22no—
151C2×C4×D71—22no—
152C2×C4×D71—41no—
153C2×C4×D71—41no—
154C2×C4×D71—41no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
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⋊C8C2×D412yes—
167C4⋊Dic71—22no—
168C4⋊Dic71—22no—
169Dic71⋊C4—22no—
170Dic71⋊C4—41no—
171Dic71⋊C4—41no—
172C22⋊Dic71—22no—
173C22⋊Dic71—22no—
174C22⋊Dic71—22no—
175(C2×D71)⋊C4—22no—
176(C2×D71)⋊C4—22no—
177(C2×D71)⋊C4—41no—
178C4×Dic71—21no—
179C4×Dic71—21no—
180C4×Dic71—22no—
181C4×Dic71—22no—
182C4×Dic71C2×D412yes—
183C4×Dic71#4112yes—
184C4×Dic71#4112yes—
185C4×Dic71#4112yes—
186C24×C71C22×C411yescharacteristic
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71—21no—
190C22×C4×C71—21no—
191C22×C4×C71—21no—
192C22×C4×C71—21no—
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C22×C411yescharacteristic
195C22×C4×C71C22×C411yescharacteristic
196C22×C4×C71C22×C411yescharacteristic
197C22×C4×C71C22×C411yescharacteristic
198C22×C4×C71C2411yescharacteristic
199C2×C8×C71—21no—
200C2×C8×C71—21no—
201C2×C8×C71—21no—
202C2×C8×C71—21no—
203C2×C8×C71—21no—
204C2×C8×C71—21no—
205C2×C8×C71—21no—
206C2×C8×C71—21no—
207C2×C8×C71—21no—
208C2×C8×C71—21no—
209C2×C8×C71—21no—
210C2×C8×C71C2×D412yes—
211C22⋊C4×C71—41no—
212C22⋊C4×C71—41no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71—21no—
216C42×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71C23×C411yescharacteristic
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71—21no—
231C22×D71#13112yes—
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×C71—21no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71C22×D411yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71H(5,𝔽2)11yescharacteristic
256C2×C4×C712−1+411yescharacteristic
257C22⋊D71—44no—
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#11712yes—
276C2×Dic71#11712yes—
277C2×Dic71C4×D412yes—
278C2×Dic71C4×D412yes—
279C4×D71—44no—
280C4×D71—44no—
281C4×D71—41no—
282C4×D71—41no—
283C4×D71—41no—
284C4×D71—41no—
285C8×C71—22no—
286C8×C71—41no—
287C8×C71—41no—
288C8×C71—41no—
289C71⋊C8—22no—
290C71⋊C8—41no—
291C71⋊C8—41no—
292C71⋊C8—41no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71—41no—
299C22×C71—41no—
300C22×C71C2×#11711yescharacteristic
301C22×C71C2×C4×D411yescharacteristic
302C22×C71#52011yescharacteristic
303C22×C71C2×#13111yescharacteristic
304C22×C71#56811yescharacteristic
305C22×C71#56811yescharacteristic
306C22×C71#56811yescharacteristic
307C2×D71—22no—
308C2×D71—22no—
309C2×D71—22no—
310C2×D71—41no—
311C2×D71—41no—
312C2×D71—41no—
313C2×D71—41no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71—41no—
317C4×C71—41no—
318C4×C71—41no—
319C4×C71#54711yescharacteristic
320C4×C71#55011yescharacteristic
321C4×C71#55511yescharacteristic
322C4×C71#55611yescharacteristic
323Dic71—22no—
324Dic71—22no—
325Dic71—22no—
326Dic71—22no—
327Dic71—41no—
328Dic71—41no—
329Dic71—41no—
330#22801—711nomaximal, Sylow
331C2×C71—81no—
332C2×C71#235411yescharacteristic
333C2×C71#292311yescharacteristic
334C2×C71#292411yescharacteristic
335C2×C71#293011yescharacteristic
336C2×C71#293311yescharacteristic
337C2×C71#299211yescharacteristic
338C2×C71#299511yescharacteristic
339D71—42no—
340C2×#433—711no—
341C2×#432—711no—
342#2290—711no—
343#1955—711no—
344#1954—711no—
345#1924—711no—
346#1924—711no—
347#1924D7111yescharacteristic, complemented
348#1923—711no—
349#1843—711no—
350#1798—711no—
351#1797—711no—
352#1771—711no—
353#1770—711no—
354#1768—711no—
355C71#2280111yescharacteristic, complemented, Sylow
356C2×C4×D4—711no—
357C2×#117—711no—
358C22×C42—711no—
359#433—1424no—
360#432—1424no—
361C2×C4⋊C8—711no—
362C2×C4⋊C8—711no—
363C2×C4⋊C8—711no—
364C2×C4⋊C8—711no—
365C2×C4⋊C8—711no—
366C2×C4⋊C8—711no—
367C2×C4⋊C8—711no—
368C2×C4⋊C8C2×D7111yescharacteristic
369C2×C22⋊C8—711no—
370C2×C22⋊C8—711no—
371C2×C22⋊C8—711no—
372C2×C22⋊C8—711no—
373C2×C22⋊C8—711no—
374C2×C22⋊C8—711no—
375C2×C22⋊C8C2×D7111yescharacteristic
376C2×C22⋊C8C2×D7111yescharacteristic
377C2×#97—711no—
378C2×#97—711no—
379C2×#97—711no—
380C2×#97C2×D7111yescharacteristic
381C2×C4×C8—711no—
382C2×C4×C8—711no—
383#388—711no—
384#388—711no—
385#387—711no—
386#387—711no—
387#386—711no—
388#386—711no—
389#385—711no—
390#385—711no—
391C4×C4⋊C4—711no—
392C4×C22⋊C4—711no—
393C4×C22⋊C4C2×D7111yescharacteristic
394#376—711no—
395#336—711no—
396#336—711no—
397#336—711no—
398#336—711no—
399#336C2×D7111yescharacteristic
400#336C2×D7111yescharacteristic
401C22×D4—711no—
402C23×C4—711no—
403C23×C4—711no—
404C23×C4—711no—
405C23×C4C22×D7111yescharacteristic
406C22×C8—711no—
407C22×C8—711no—
408C22×C8—711no—
409C22×C8—711no—
410C22×C8C22×D7111yescharacteristic
411C22×C8C22×D7111yescharacteristic
412C22×C8C22×D7111yescharacteristic
413C22×C8C22×D7111yescharacteristic
414C4×D4—1422no—
415C4×D4—1422no—
416#117—1422no—
417#117—1422no—
418C2×C4⋊C4—711no—
419C2×C4⋊C4—711no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—711no—
423C2×C22⋊C4—711no—
424C2×C22⋊C4—711no—
425C2×C22⋊C4—711no—
426C2×C22⋊C4—711no—
427C2×C22⋊C4—711no—
428C2×C22⋊C4—711no—
429C2×C22⋊C4C4×D7111yescharacteristic
430C2×C22⋊C4C4×D7111yescharacteristic
431C2×C42—711no—
432C2×C42—711no—
433C2×C42—711no—
434C2×C42—711no—
435C2×C42—711no—
436C2×C42—1422no—
437C2×C42—1422no—
438C2×C42C22×D7111yescharacteristic
439C2×C42C22×D7111yescharacteristic
440C4⋊C8—41no—
441C4⋊C8—2841no—
442C4⋊C8—714no—
443C4⋊C8—1422no—
444C4⋊C8—1422no—
445C4⋊C8—1422no—
446C4⋊C8—1422no—
447C4⋊C8—1422no—
448C22⋊C8—22no—
449C22⋊C8—41no—
450C22⋊C8—2841no—
451C22⋊C8—2841no—
452C22⋊C8—2841no—
453C22⋊C8—1422no—
454C22⋊C8—1422no—
455C22⋊C8—1422no—
456#97—22no—
457#97—1422no—
458#97—1422no—
459#97—1422no—
460C4×C8—1422no—
461C4×C8—1422no—
462#95—711no—
463#95—711no—
464#95—711no—
465#95—711no—
466#95—711no—
467#95—711no—
468#95—711no—
469#95—711no—
470#95C4×D7111yescharacteristic
471#95C4×D7111yescharacteristic
472C24—711no—
473C24C2×C4×D7111yescharacteristic
474C2×D4—2841no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—2841no—
484C22×C4—2841no—
485C22×C4—2841no—
486C22×C4—711no—
487C22×C4—711no—
488C22×C4—711no—
489C22×C4—711no—
490C22×C4—711no—
491C22×C4—711no—
492C22×C4—711no—
493C22×C4—1422no—
494C22×C4—1422no—
495C22×C4—1422no—
496C22×C4—1421no—
497C22×C4—1421no—
498C22×C4—1421no—
499C22×C4—1421no—
500C22×C4—1421no—
501C22×C4—1421no—
502C22×C4C2×C4×D7111yescharacteristic
503C22×C4C2×C4×D7111yescharacteristic
504C22×C4C2×C4×D7111yescharacteristic
505C22×C4C2×C4×D7111yescharacteristic
506C22×C4C2×C4×D7111yescharacteristic
507C22×C4C23×D7111yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—712no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8—1421no—
525C2×C8—1421no—
526C2×C8—1421no—
527C2×C8—1421no—
528C2×C8—1421no—
529C2×C8—1421no—
530C2×C8—1421no—
531C2×C8D4×D7112yes—
532C4⋊C4—2841no—
533C4⋊C4—2841no—
534C4⋊C4—1422no—
535C4⋊C4—1422no—
536C4⋊C4—1422no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—2841no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C22⋊C4—1422no—
543C22⋊C4—1422no—
544C22⋊C4—1422no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—712no—
550C42—712no—
551C42—712no—
552C42—712no—
553C42—1422no—
554C42—1422no—
555C42—1421no—
556C42—1421no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—712no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23—1421no—
570C23—1421no—
571C23C22×C4×D7111yescharacteristic
572D4—2844no—
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—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—2844no—
593C2×C4—2844no—
594C2×C4—2841no—
595C2×C4—2841no—
596C2×C4—2841no—
597C2×C4—2841no—
598C2×C4—712no—
599C2×C4—712no—
600C2×C4—712no—
601C2×C4—712no—
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×C4—1421no—
613C2×C4—1421no—
614C2×C4—1421no—
615C2×C4—1421no—
616C2×C4—1421no—
617C2×C4—1421no—
618C2×C4—1421no—
619C2×C4C2×D4×D7111yescharacteristic
620C2×C4#41×D7111yescharacteristic
621C2×C4#41×D7111yescharacteristic
622C2×C4#41×D7111yescharacteristic
623C2×C4#1455617311yescharacteristic
624C2×C4#1455617511yescharacteristic
625C8—22no—
626C8—41no—
627C8—41no—
628C8—41no—
629C8—2841no—
630C8—2841no—
631C8—2841no—
632C8—1422no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—2841no—
641C22—2841no—
642C22—2841no—
643C22—2841no—
644C22—1422no—
645C22—1422no—
646C22—1422no—
647C22#117×D7111yescharacteristic
648C22C4×D4×D7111yescharacteristic
649C22#1798647811yescharacteristic
650C22#131×D7111yescharacteristic
651C22#1798676411yescharacteristic
652C22#1798676511yescharacteristic
653C22#1798676511yescharacteristic
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—2841no—
660C4—2841no—
661C4—2841no—
662C4—1422no—
663C4—1422no—
664C4—1422no—
665C4—1422no—
666C4#1798664711yescharacteristic
667C4#1798666711yescharacteristic
668C4#1798671111yescharacteristic
669C4#1798671611yescharacteristic
670C2—81no—
671C2—2842no—
672C2#2259128611yescharacteristic
673C2#2259698611yescharacteristic
674C2#2259699611yescharacteristic
675C2#2259703811yescharacteristic
676C2#2259706911yescharacteristic
677C2#2259747511yescharacteristic
678C2#2259750611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1924C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1924D71
hypocenterC71#22801
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1924

Complements

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

NH ≅ G/Ntype
1. C2×#17986057C2semidirect
2. C2×#17986054C2semidirect
6. #22588955C2semidirect
7. #22588952C2semidirect
8. #22588947C2semidirect
9. #22588493C2semidirect
10. #22588322C2semidirect
11. #22588319C2semidirect
12. #22588216C2semidirect
13. #22588206C2semidirect
14. #22588196C2semidirect
15. C71×#1924C2semidirect
97. Dic71⋊C8D4semidirect
347. #1924D71semidirect
355. C71#22801semidirect

Maximal subgroups

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

subgroupindex
C2×#179860572
C2×#179860542
#225907862
#225891362
#225891322
#225889552
#225889522
#225889472
#225884932
#225883222
#225883192
#225882162
#225882062
#225881962
C71×#19242
#2280171