Finite Group Databasebeta

← #32017140

Subgroups — #32017140

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×#17986059C211yesmaximal, characteristic, complemented
2C2×#17986055C211yesmaximal, characteristic, complemented
3#22590784C211yesmaximal, characteristic
4#22589137C211yesmaximal, characteristic
5#22589133C211yesmaximal, characteristic
6#22588952C211yesmaximal, characteristic, complemented
7#22588952C211yesmaximal, characteristic, complemented
8#22588952C211yesmaximal, characteristic, complemented
9#22588945C211yesmaximal, characteristic, complemented
10#22588321C211yesmaximal, characteristic, complemented
11#22588317C211yesmaximal, characteristic, complemented
12#22588217C211yesmaximal, characteristic, complemented
13#22588210C211yesmaximal, characteristic, complemented
14#22588197C211yesmaximal, characteristic, complemented
15C71×#1843C211yesmaximal, characteristic, complemented
16C2×C4×D284C2211yescharacteristic
17C2×#14556085C2211yescharacteristic
18C2×C42×D71C2211yescharacteristic
19#17986059—24no—
20#17986055—24no—
21C2×C4⋊(C71⋊C8)C2211yescharacteristic
22C2×C4⋊(C71⋊C8)C2211yescharacteristic
23C2×(C2×D71)⋊C8C2211yescharacteristic
24C2×(C2×D71)⋊C8C2211yescharacteristic
25C2×(C2×D71)⋊C8C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27C2×(C2×D71)⋊C8C2211yescharacteristic
28C2×(C2×D71)⋊C8C2211yescharacteristic
29C2×(C2×D71)⋊C8C2211yescharacteristic
30C2×(C2×D71)⋊C8C2211yescharacteristic
31C2×#14556039C2211yescharacteristic
32C2×#14556038C2211yescharacteristic
33C2×#14556038C2211yescharacteristic
34C2×#14556038C2211yescharacteristic
35C2×C4×C71⋊C8C2211yescharacteristic
36C2×C8×Dic71C2211yescharacteristic
37#17985891C411yescharacteristic
38#17985891C411yescharacteristic
39#17985884C411yescharacteristic
40#17985884C411yescharacteristic
41#17985877C411yescharacteristic
42#17985877C411yescharacteristic
43#17985873C411yescharacteristic
44#17985873C411yescharacteristic
45C4×C4⋊Dic71C2211yescharacteristic
46C4×(C2×D71)⋊C4C2211yescharacteristic
47C4×(C2×D71)⋊C4C2211yescharacteristic
48#17985754C2211yescharacteristic
49#17985754C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53#17985753C2211yescharacteristic
54C2×C4⋊C8×C71C2211yescharacteristic
55C2×C4⋊C8×C71C2211yescharacteristic
56C2×C4⋊C8×C71C2211yescharacteristic
57C2×C4⋊C8×C71C2211yescharacteristic
58C2×C4⋊C8×C71C2211yescharacteristic
59C2×C4⋊C8×C71C2211yescharacteristic
60#376×C71C2211yescharacteristic
61C22×D284C2×C411yescharacteristic
62C22×C4×D71C2×C411yescharacteristic
63C22×C4×D71C2×C411yescharacteristic
64C22×C4×D71C2311yescharacteristic
65C22×C4×D71C2311yescharacteristic
66C22×C71⋊C8C2311yescharacteristic
67C22×C71⋊C8C2311yescharacteristic
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C4×D284—22no—
71C4×D284—22no—
72#14556085—22no—
73#14556085—22no—
74C2×C4⋊Dic71C2×C411yescharacteristic
75C2×C4⋊Dic71C2×C411yescharacteristic
76C2×C4⋊Dic71C2×C411yescharacteristic
77C2×Dic71⋊C4C2×C411yescharacteristic
78C2×Dic71⋊C4C2×C411yescharacteristic
79C2×(C2×D71)⋊C4C2×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×(C2×D71)⋊C4C2×C411yescharacteristic
86C2×(C2×D71)⋊C4C2×C411yescharacteristic
87C2×C4×Dic71C2×C411yescharacteristic
88C2×C4×Dic71C2×C411yescharacteristic
89C2×C4×Dic71C2311yescharacteristic
90C2×C4×Dic71C2311yescharacteristic
91C42×D71—22no—
92C42×D71—22no—
93C4⋊(C71⋊C8)—22no—
94C4⋊(C71⋊C8)D414yescomplemented
95(C2×D71)⋊C8—22no—
96(C2×D71)⋊C8—22no—
97(C2×D71)⋊C8—22no—
98(C2×D71)⋊C8—22no—
99(C2×D71)⋊C8—41no—
100(C2×D71)⋊C8—41no—
101(C2×D71)⋊C8—41no—
102(C2×D71)⋊C8—41no—
103#14556039—22no—
104#14556038—22no—
105#14556038—22no—
106#14556038—22no—
107C4×C71⋊C8—22no—
108C8×Dic71—22no—
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
122C4⋊C8×C71—22no—
123C4⋊C8×C71—22no—
124C4⋊C8×C71—22no—
125C4⋊C8×C71—22no—
126C4⋊C8×C71—41no—
127C4⋊C8×C71—41no—
128#95×C71C2×C411yescharacteristic
129#95×C71C2×C411yescharacteristic
130#95×C71C2×C411yescharacteristic
131#95×C71C2×C411yescharacteristic
132C23×D71C22×C411yescharacteristic
133C23×D71C22×C411yescharacteristic
134C2×D284—22no—
135C2×D284—22no—
136C2×D284—41no—
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—22no—
145C2×C4×D71—22no—
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—
158C2×C4×D71—41no—
159C2×C4×D71—41no—
160C2×C4×D71—41no—
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—
171C2×C71⋊C8C2×D412yes—
172C2×C71⋊C8C2×D412yes—
173C4⋊Dic71—22no—
174C4⋊Dic71—41no—
175C4⋊Dic71—41no—
176Dic71⋊C4—22no—
177Dic71⋊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—22no—
183(C2×D71)⋊C4—41no—
184(C2×D71)⋊C4—41no—
185(C2×D71)⋊C4—41no—
186C4×Dic71—22no—
187C4×Dic71—22no—
188C4×Dic71—21no—
189C4×Dic71—21no—
190C4×Dic71—21no—
191C4×Dic71—21no—
192C22×C4×C71C22×C411yescharacteristic
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×C71—21no—
211C42×C71—21no—
212C42×C71—21no—
213C42×C71C2×D412yes—
214C42×C71#4112yes—
215C42×C71#4112yes—
216C42×C71#4112yes—
217C23×C71C23×C411yescharacteristic
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—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#11712yes—
247C2×C4×C71#11712yes—
248C2×C4×C71C4×D412yes—
249C2×C4×C71C4×D412yes—
250C2×C4×C71C22×D411yescharacteristic
251C2×C4×C71C2×#4111yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71H(5,𝔽2)11yescharacteristic
255C2×C4×C712−1+411yescharacteristic
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—21no—
272C2×Dic71—21no—
273C2×Dic71—21no—
274D284—44no—
275C4×D71—44no—
276C4×D71—44no—
277C4×D71—41no—
278C4×D71—41no—
279C4×D71—41no—
280C4×D71—41no—
281C4×D71—41no—
282C4×D71—41no—
283C4×D71—41no—
284C4×D71—41no—
285C8×C71—41no—
286C8×C71—41no—
287C8×C71—41no—
288C8×C71—41no—
289C71⋊C8—22no—
290C71⋊C8—22no—
291C71⋊C8—41no—
292C71⋊C8—41no—
293C22×C71C2×#11711yescharacteristic
294C22×C71C2×C4×D411yescharacteristic
295C22×C71#52011yescharacteristic
296C22×C71C2×#13111yescharacteristic
297C22×C71#56811yescharacteristic
298C22×C71#56811yescharacteristic
299C22×C71#56811yescharacteristic
300C2×D71—22no—
301C2×D71—22no—
302C2×D71—22no—
303C2×D71—41no—
304C2×D71—41no—
305C2×D71—41no—
306C2×D71—41no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C2×D71—41no—
312C2×D71—41no—
313C2×D71—41no—
314C4×C71—22no—
315C4×C71—22no—
316C4×C71—22no—
317C4×C71—22no—
318C4×C71—41no—
319C4×C71—41no—
320C4×C71#54711yescharacteristic
321C4×C71#55011yescharacteristic
322C4×C71#55511yescharacteristic
323C4×C71#55611yescharacteristic
324Dic71—41no—
325Dic71—41no—
326Dic71—41no—
327Dic71—41no—
328Dic71—41no—
329Dic71—41no—
330#22801—711nomaximal, Sylow
331C2×C71#235411yescharacteristic
332C2×C71#292311yescharacteristic
333C2×C71#292411yescharacteristic
334C2×C71#293011yescharacteristic
335C2×C71#293311yescharacteristic
336C2×C71#299211yescharacteristic
337C2×C71#299511yescharacteristic
338D71—42no—
339D71—81no—
340C2×#433—711no—
341C2×#432—711no—
342#2290—711no—
343#1955—711no—
344#1954—711no—
345#1924—711no—
346#1924—711no—
347#1924—711no—
348#1923—711no—
349#1843D7111yescharacteristic, complemented
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⋊C8C2×D7111yescharacteristic
364C2×C4⋊C8C2×D7111yescharacteristic
365C2×C4⋊C8C2×D7111yescharacteristic
366C2×C4⋊C8C2×D7111yescharacteristic
367C2×C4⋊C8C2×D7111yescharacteristic
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⋊C8—711no—
376C2×C22⋊C8—711no—
377C2×#97—711no—
378C2×#97—711no—
379C2×#97—711no—
380C2×#97—711no—
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⋊C4—711no—
394#376C2×D7111yescharacteristic
395#336—711no—
396#336—711no—
397#336—711no—
398#336—711no—
399#336—711no—
400#336—711no—
401C22×D4—711no—
402C23×C4—711no—
403C23×C4—711no—
404C23×C4—711no—
405C23×C4—711no—
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⋊C4—711no—
430C2×C22⋊C4—711no—
431C2×C42—711no—
432C2×C42—711no—
433C2×C42—711no—
434C2×C42—711no—
435C2×C42—1422no—
436C2×C42—1422no—
437C2×C42C22×D7111yescharacteristic
438C2×C42C22×D7111yescharacteristic
439C2×C42C22×D7111yescharacteristic
440C4⋊C8—22no—
441C4⋊C8—22no—
442C4⋊C8—22no—
443C4⋊C8—22no—
444C4⋊C8—41no—
445C4⋊C8—41no—
446C4⋊C8—714no—
447C4⋊C8—1422no—
448C22⋊C8—2841no—
449C22⋊C8—2841no—
450C22⋊C8—2841no—
451C22⋊C8—2841no—
452C22⋊C8—1422no—
453C22⋊C8—1422no—
454C22⋊C8—1422no—
455C22⋊C8—1422no—
456#97—1422no—
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#95C4×D7111yescharacteristic
469#95C4×D7111yescharacteristic
470#95C4×D7111yescharacteristic
471#95C4×D7111yescharacteristic
472C24—711no—
473C24—711no—
474C2×D4—2841no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—2841no—
478C22×C4—2841no—
479C22×C4—2841no—
480C22×C4—711no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—711no—
486C22×C4—1422no—
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×C4—1421no—
496C22×C4—1421no—
497C22×C4—1421no—
498C22×C4—1421no—
499C22×C4—1422no—
500C22×C4—1422no—
501C22×C4C2×C4×D7111yescharacteristic
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—21no—
520C2×C8—712no—
521C2×C8—712no—
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×C8—1421no—
532C4⋊C4—2841no—
533C4⋊C4—2841no—
534C4⋊C4—1422no—
535C4⋊C4—1422no—
536C4⋊C4—1422no—
537C22⋊C4—2841no—
538C22⋊C4—2841no—
539C22⋊C4—2841no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C22⋊C4—1422no—
543C22⋊C4—1422no—
544C22⋊C4—1422no—
545C42—21no—
546C42—21no—
547C42—1421no—
548C42—1421no—
549C42—1421no—
550C42—1421no—
551C42—1422no—
552C42—1422no—
553C42D4×D7112yes—
554C42#1176586412yes—
555C42#1176586612yes—
556C42#1176586612yes—
557C23—712no—
558C23—1421no—
559C23—1421no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
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—2844no—
588C2×C4—2844no—
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—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×C4—1421no—
613C2×C4—1421no—
614C2×C4—1421no—
615C2×C4#1455608612yes—
616C2×C4#1455608612yes—
617C2×C4#1455609012yes—
618C2×C4#1455609012yes—
619C2×C4C2×D4×D7111yescharacteristic
620C2×C4C2×#1176586411yescharacteristic
621C2×C4C2×#1176586611yescharacteristic
622C2×C4C2×#1176586611yescharacteristic
623C2×C4#1455617311yescharacteristic
624C2×C4#1455617611yescharacteristic
625C8—41no—
626C8—41no—
627C8—41no—
628C8—41no—
629C8—2841no—
630C8—2841no—
631C8—1422no—
632C8—1422no—
633C22—2841no—
634C22—2841no—
635C22—2841no—
636C22—2841no—
637C22—2841no—
638C22—2841no—
639C22—2841no—
640C22—2841no—
641C22—2841no—
642C22—2841no—
643C22—2841no—
644C22—1422no—
645C22—1422no—
646C22—1422no—
647C22C2×#1455608611yescharacteristic
648C22C2×#1455609011yescharacteristic
649C22#1798648011yescharacteristic
650C22#131×D7111yescharacteristic
651C22#1798676411yescharacteristic
652C22#1798676411yescharacteristic
653C22#1798676411yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—2841no—
661C4—2841no—
662C4—2841no—
663C4—2841no—
664C4—2841no—
665C4—2841no—
666C4#1798665211yescharacteristic
667C4#1798666911yescharacteristic
668C4#1798671511yescharacteristic
669C4#1798672311yescharacteristic
670C2—2842no—
671C2—5681no—
672C2#2259129111yescharacteristic
673C2#2259699011yescharacteristic
674C2#2259699711yescharacteristic
675C2#2259704211yescharacteristic
676C2#2259706411yescharacteristic
677C2#2259747711yescharacteristic
678C2#2259750811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1843C2
prime radicalC22×D284C2×C4
cosocleC22×C4×C71C24
hypercenter#1843D71
hypocenterC71#22801
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1843

Complements

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

NH ≅ G/Ntype
1. C2×#17986059C2semidirect
2. C2×#17986055C2semidirect
6. #22588952C2semidirect
7. #22588952C2semidirect
8. #22588952C2semidirect
9. #22588945C2semidirect
10. #22588321C2semidirect
11. #22588317C2semidirect
12. #22588217C2semidirect
13. #22588210C2semidirect
14. #22588197C2semidirect
15. C71×#1843C2semidirect
94. C4⋊(C71⋊C8)D4semidirect
349. #1843D71semidirect
355. C71#22801semidirect

Maximal subgroups

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

subgroupindex
C2×#179860592
C2×#179860552
#225907842
#225891372
#225891332
#225889522
#225889452
#225883212
#225883172
#225882172
#225882102
#225881972
C71×#18432
#2280171