Finite Group Databasebeta

← #32000348

Subgroups — #32000348

Order 18176.

884 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×#17986058C211yesmaximal, characteristic, complemented
2C2×#17985953C211yesmaximal, characteristic, complemented
3#22590804C211yesmaximal, characteristic
4#22588952C211yesmaximal, characteristic, complemented
5#22588945C211yesmaximal, characteristic, complemented
6#22588903C211yesmaximal, characteristic, complemented
7#22588896C211yesmaximal, characteristic, complemented
8#22588636C211yesmaximal, characteristic
9#22588631C211yesmaximal, characteristic
10#22588521C211yesmaximal, characteristic, complemented
11#22588516C211yesmaximal, characteristic, complemented
12#22588107C211yesmaximal, characteristic, complemented
13#22588107C211yesmaximal, characteristic, complemented
14#22588089C211yesmaximal, characteristic, complemented
15C4×C4⋊C8×C71C211yesmaximal, characteristic, complemented
16C22×#11765848C2211yescharacteristic
17C22×C8×D71C2211yescharacteristic
18C2×C4×D284C2211yescharacteristic
19C2×#14556085C2211yescharacteristic
20C2×#14556085C2211yescharacteristic
21#17986058—24no—
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊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
30#17985953—24no—
31C2×#14556039C2211yescharacteristic
32C2×#14556039C2211yescharacteristic
33C2×#14556038C2211yescharacteristic
34C2×C8×Dic71C2211yescharacteristic
35#17985901C411yescharacteristic
36#17985901C411yescharacteristic
37#17985897C411yescharacteristic
38#17985897C411yescharacteristic
39#17985890C411yescharacteristic
40#17985890C411yescharacteristic
41#17985890C411yescharacteristic
42#17985890C411yescharacteristic
43C4×C4⋊Dic71C2211yescharacteristic
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×C4⋊C8×C71C2211yescharacteristic
55C2×C4⋊C8×C71C2211yescharacteristic
56C2×C4×C8×C71C2211yescharacteristic
57C2×C4×C8×C71C2211yescharacteristic
58C43×C71C2211yescharacteristic
59#336×C71C2211yescharacteristic
60#336×C71C2211yescharacteristic
61C22×D284C2×C411yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C22×C4×D71C2311yescharacteristic
64C2×#11765848—22no—
65C2×#11765848—22no—
66C2×#11765848—22no—
67C22×C71⋊C8C2311yescharacteristic
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C22×C71⋊C8C2311yescharacteristic
71C2×C8×D71—22no—
72C2×C8×D71—22no—
73C2×C8×D71—22no—
74C4×D284—22no—
75C4×D284—22no—
76#14556085—22no—
77#14556085—22no—
78#14556085—22no—
79#14556085—22no—
80C2×C4⋊Dic71C2×C411yescharacteristic
81C2×C4⋊Dic71C2×C411yescharacteristic
82C2×C4⋊Dic71C2×C411yescharacteristic
83C2×Dic71⋊C4C2×C411yescharacteristic
84C2×Dic71⋊C4C2×C411yescharacteristic
85C2×Dic71⋊C4C2×C411yescharacteristic
86C2×Dic71⋊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×(C2×D71)⋊C4C2×C411yescharacteristic
94C2×(C2×D71)⋊C4C2×C411yescharacteristic
95C2×(C2×D71)⋊C4C2×C411yescharacteristic
96C2×(C2×D71)⋊C4C2×C411yescharacteristic
97C2×C4×Dic71C2311yescharacteristic
98C2×C4×Dic71C2311yescharacteristic
99Dic71⋊C8—22no—
100Dic71⋊C8—22no—
101(C2×D71)⋊C8—22no—
102(C2×D71)⋊C8—22no—
103(C2×D71)⋊C8—22no—
104(C2×D71)⋊C8—22no—
105(C2×D71)⋊C8—22no—
106(C2×D71)⋊C8—22no—
107#14556039—22no—
108#14556039D414yescomplemented
109#14556038—22no—
110C8×Dic71—22no—
111C71⋊#95C2×C411yescharacteristic
112C71⋊#95C2×C411yescharacteristic
113C71⋊#95C2×C411yescharacteristic
114C71⋊#95C2×C411yescharacteristic
115C71⋊#95C2×C411yescharacteristic
116C71⋊#95C2×C411yescharacteristic
117C22×C8×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C22×C8×C71C2311yescharacteristic
120C22×C8×C71C2311yescharacteristic
121C2×C42×C71C2×C411yescharacteristic
122C2×C42×C71C2×C411yescharacteristic
123C2×C42×C71C2×C411yescharacteristic
124C2×C42×C71C2×C411yescharacteristic
125C2×C42×C71C2311yescharacteristic
126C2×C42×C71C2311yescharacteristic
127C2×C42×C71C2311yescharacteristic
128C4⋊C8×C71—22no—
129C4⋊C8×C71—22no—
130C4×C8×C71—22no—
131C4×C8×C71—22no—
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—21no—
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—21no—
151C2×C4×D71—21no—
152C2×C4×D71—21no—
153C2×C4×D71#4112yes—
154C2×C4×D71#4112yes—
155#11765848—28no—
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—
167C2×C71⋊C8C2×D412yes—
168C8×D71—28no—
169C4⋊Dic71—22no—
170C4⋊Dic71—22no—
171C4⋊Dic71—41no—
172Dic71⋊C4—22no—
173Dic71⋊C4—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—22no—
183(C2×D71)⋊C4—22no—
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×C71—21no—
204C2×C8×C71—21no—
205C2×C8×C71—21no—
206C2×C8×C71—21no—
207C2×C8×C71#4112yes—
208C2×C8×C71#4112yes—
209C42×C71—22no—
210C42×C71—22no—
211C42×C71—21no—
212C42×C71—21no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71—41no—
216C42×C71—41no—
217C42×C71C2×D412yes—
218C42×C71#4112yes—
219C23×C71C23×C411yescharacteristic
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—21no—
232C22×D71—21no—
233C22×D71#11712yes—
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—21no—
248C2×C4×C71C4×D412yes—
249C2×C4×C71C4×D412yes—
250C2×C4×C71#13112yes—
251C2×C4×C71#13112yes—
252C2×C4×C71C22×D411yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71C2×#4111yescharacteristic
256C2×C4×C71C2×#4111yescharacteristic
257C2×C4×C71C2×#4111yescharacteristic
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—
276D284—44no—
277C4×D71—22no—
278C4×D71—22no—
279C4×D71—22no—
280C4×D71—22no—
281C4×D71—41no—
282C4×D71—41no—
283C4×D71—41no—
284C4×D71—41no—
285C8×C71—22no—
286C8×C71—22no—
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×C71C4×#4111yescharacteristic
296C22×C71C2×#13111yescharacteristic
297C22×C71C2×#13111yescharacteristic
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#52511yescharacteristic
321C4×C71#52511yescharacteristic
322C4×C71#52911yescharacteristic
323C4×C71#52911yescharacteristic
324Dic71—22no—
325Dic71—41no—
326Dic71—41no—
327Dic71—41no—
328Dic71—41no—
329Dic71—41no—
330#21111—711nomaximal, Sylow
331C2×C71#229011yescharacteristic
332C2×C71#292411yescharacteristic
333C2×C71#292511yescharacteristic
334C2×C71#293511yescharacteristic
335C2×C71#293511yescharacteristic
336C2×C71#296611yescharacteristic
337C2×C71#296711yescharacteristic
338D71—42no—
339D71—81no—
340C2×#433—711no—
341C2×#405—711no—
342#2293—711no—
343#1924—711no—
344#1923—711no—
345#1917—711no—
346#1916—711no—
347#1870—711no—
348#1869—711no—
349#1851—711no—
350#1850—711no—
351C4×C4⋊C8D7111yescharacteristic, complemented
352#1750—711no—
353#1750—711no—
354#1745—711no—
355C71#2111111yescharacteristic, complemented, Sylow
356C22×M16—711no—
357C23×C8—711no—
358C2×C4×D4—711no—
359C2×#117—711no—
360C2×#117—711no—
361#433—1424no—
362C2×C4⋊C8—711no—
363C2×C4⋊C8—711no—
364C2×C4⋊C8C2×D7111yescharacteristic
365C2×C4⋊C8C2×D7111yescharacteristic
366C2×C22⋊C8—711no—
367C2×C22⋊C8—711no—
368C2×C22⋊C8—711no—
369C2×C22⋊C8—711no—
370C2×C22⋊C8—711no—
371C2×C22⋊C8—711no—
372#405—1424no—
373C2×#97—711no—
374C2×#97—711no—
375C2×#97—711no—
376C2×C4×C8—711no—
377C2×C4×C8C2×D7111yescharacteristic
378C2×C4×C8C2×D7111yescharacteristic
379#390—711no—
380#390—711no—
381#389—711no—
382#389—711no—
383#388—711no—
384#388—711no—
385#388—711no—
386#388—711no—
387C4×C4⋊C4—711no—
388C4×C22⋊C4—711no—
389C4×C22⋊C4—711no—
390C43C2×D7111yescharacteristic
391#336—711no—
392#336—711no—
393#336—711no—
394#336—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—
404C2×M16—1422no—
405C2×M16—1422no—
406C2×M16—1422no—
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—1422no—
421#117—1422no—
422#117—1422no—
423#117—1422no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—711no—
429C2×C4⋊C4—711no—
430C2×C4⋊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⋊C4—711no—
438C2×C22⋊C4—711no—
439C2×C22⋊C4—711no—
440C2×C22⋊C4—711no—
441C2×C42—711no—
442C2×C42—711no—
443C2×C42C4×D7111yescharacteristic
444C2×C42C4×D7111yescharacteristic
445C2×C42C4×D7111yescharacteristic
446C2×C42C4×D7111yescharacteristic
447C2×C42C22×D7111yescharacteristic
448C2×C42C22×D7111yescharacteristic
449C2×C42C22×D7111yescharacteristic
450C4⋊C8—22no—
451C4⋊C8—22no—
452C4⋊C8—1422no—
453C4⋊C8—1422no—
454C22⋊C8—1422no—
455C22⋊C8—1422no—
456C22⋊C8—1422no—
457C22⋊C8—1422no—
458C22⋊C8—1422no—
459C22⋊C8—1422no—
460#97—714no—
461#97—1422no—
462#97—1422no—
463C4×C8—22no—
464C4×C8—22no—
465C4×C8—1422no—
466#95—711no—
467#95—711no—
468#95—711no—
469#95—711no—
470#95—711no—
471#95—711no—
472C24—711no—
473C24—711no—
474C2×D4—2841no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—711no—
478C22×C4—712no—
479C22×C4—712no—
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×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—1428no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—712no—
514C2×C8—712no—
515C2×C8—1428no—
516C2×C8—1421no—
517C2×C8—1421no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8—1421no—
525C2×C8—1421no—
526C2×C8#1176586512yes—
527C2×C8#1176586512yes—
528C4⋊C4—2841no—
529C4⋊C4—1422no—
530C4⋊C4—1422no—
531C4⋊C4—1422no—
532C4⋊C4—1422no—
533C4⋊C4—1422no—
534C4⋊C4—1422no—
535C22⋊C4—2841no—
536C22⋊C4—2841no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C22⋊C4—1422no—
543C22⋊C4—1422no—
544C22⋊C4—1422no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—22no—
550C42—22no—
551C42—41no—
552C42—41no—
553C42—1421no—
554C42—1421no—
555C42—1421no—
556C42—1421no—
557C42D4×D7112yes—
558C42#1176586612yes—
559C23—712no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23—1421no—
570C23—1421no—
571C23—1421no—
572C23—1421no—
573C23C22×C4×D7111yescharacteristic
574D4—2844no—
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—21no—
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×C4—1422no—
612C2×C4—1422no—
613C2×C4—1422no—
614C2×C4—1422no—
615C2×C4#1455609012yes—
616C2×C4#1455609012yes—
617C2×C4#1455613412yes—
618C2×C4#1455613412yes—
619C2×C4C2×D4×D7111yescharacteristic
620C2×C4#41×D7111yescharacteristic
621C2×C4#41×D7111yescharacteristic
622C2×C4C2×#1176586511yescharacteristic
623C2×C4C2×#1176586511yescharacteristic
624C2×C4C2×#1176586611yescharacteristic
625C8—22no—
626C8—22no—
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—
647C22#117×D7111yescharacteristic
648C22C2×#1455609011yescharacteristic
649C22C4×#1176586511yescharacteristic
650C22C2×#1455613411yescharacteristic
651C22C2×#1455613411yescharacteristic
652C22#1798676511yescharacteristic
653C22#1798676511yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—2841no—
661C4—2841no—
662C4—2841no—
663C4—2841no—
664C4—2841no—
665C4—1422no—
666C4#1798650811yescharacteristic
667C4#1798650811yescharacteristic
668C4#1798653611yescharacteristic
669C4#1798653611yescharacteristic
670C2—2842no—
671C2—5681no—
672C2#2259078111yescharacteristic
673C2#2259699311yescharacteristic
674C2#2259700111yescharacteristic
675C2#2259708311yescharacteristic
676C2#2259708311yescharacteristic
677C2#2259731511yescharacteristic
678C2#2259732511yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC4×C4⋊C8×C71C2
prime radicalC22×D284C2×C4
cosocleC22×C4×C71C24
hypercenterC4×C4⋊C8D71
hypocenterC71#21111
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C4×C4⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#17986058C2semidirect
2. C2×#17985953C2semidirect
4. #22588952C2semidirect
5. #22588945C2semidirect
6. #22588903C2semidirect
7. #22588896C2semidirect
10. #22588521C2semidirect
11. #22588516C2semidirect
12. #22588107C2semidirect
13. #22588107C2semidirect
14. #22588089C2semidirect
15. C4×C4⋊C8×C71C2semidirect
108. #14556039D4semidirect
351. C4×C4⋊C8D71semidirect
355. C71#21111semidirect

Maximal subgroups

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

subgroupindex
C2×#179860582
C2×#179859532
#225908042
#225889522
#225889452
#225889032
#225888962
#225886362
#225886312
#225885212
#225885162
#225881072
#225880892
C4×C4⋊C8×C712
#2111171