Finite Group Databasebeta

← #31997341

Subgroups — #31997341

Order 18176.

1418 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556085C211yesmaximal, characteristic
2C2×#17986059C212yesmaximal, complemented
3#22588410C212yesmaximal, complemented
4#22588321C212yesmaximal, complemented
5#22588320C211yesmaximal, characteristic, complemented
6#22588249C211yesmaximal, characteristic
7#22588249C211yesmaximal, characteristic
8#22588105C212yesmaximal, complemented
9#22588104C211yesmaximal, characteristic, complemented
10C22⋊C8×Dic71C211yesmaximal, characteristic, complemented
11C71×#1797C211yesmaximal, characteristic, complemented
12C23×C4×D71C2211yescharacteristic
13C2×#14556085—28no—
14C2×#14556085C411yescharacteristic
15C2×#14556085C411yescharacteristic
16C2×#14556085C411yescharacteristic
17C2×#14556085C411yescharacteristic
18C2×#14556085C2211yescharacteristic
19C2×#14556085C2211yescharacteristic
20C2×#14556085C2211yescharacteristic
21C2×#14556085C2211yescharacteristic
22C22×Dic71⋊C4C411yescharacteristic
23C22×Dic71⋊C4C411yescharacteristic
24C22×(C2×D71)⋊C4C411yescharacteristic
25C22×(C2×D71)⋊C4C411yescharacteristic
26C22×C4×Dic71C2211yescharacteristic
27#17986059—28no—
28C2×C4⋊(C71⋊C8)C2212yescomplemented
29C2×C22⋊(C71⋊C8)C2211yescharacteristic
30C2×C22⋊(C71⋊C8)C2211yescharacteristic
31C2×(C2×D71)⋊C8C2212yes—
32C2×(C2×D71)⋊C8C2212yes—
33C2×(C2×D71)⋊C8C2212yes—
34C2×(C2×D71)⋊C8C2212yes—
35C2×#14556038C2212yescomplemented
36C2×C8×Dic71C2212yescomplemented
37#17985754C2212yescomplemented
38#17985753C2212yescomplemented
39#17985753C2212yescomplemented
40C22×C42×C71C2211yescharacteristic
41C2×C4⋊C8×C71C2212yescomplemented
42C2×C22⋊C8×C71C2211yescharacteristic
43C2×C22⋊C8×C71C2211yescharacteristic
44#336×C71C2212yescomplemented
45C24×D71C2×C411yescharacteristic
46C23×Dic71C2×C411yescharacteristic
47C23×Dic71C2×C411yescharacteristic
48C23×Dic71C2×C411yescharacteristic
49C22×C4×D71—24no—
50C22×C4×D71—24no—
51C22×C4×D71—22no—
52C22×C4×D71—22no—
53C22×C4×D71C2×C411yescharacteristic
54C22×C4×D71C2×C411yescharacteristic
55C22×C4×D71C2311yescharacteristic
56C22×C4×D71C2311yescharacteristic
57C22×C71⋊C8C2312yes—
58C22×C71⋊C8C2312yes—
59#14556085—24no—
60#14556085—24no—
61#14556085—24no—
62#14556085—24no—
63#14556085—24no—
64#14556085—24no—
65#14556085—24no—
66#14556085D418yes—
67C2×Dic71⋊C4—24no—
68C2×Dic71⋊C4—24no—
69C2×Dic71⋊C4C2×C411yescharacteristic
70C2×Dic71⋊C4C2×C411yescharacteristic
71C2×Dic71⋊C4C2×C411yescharacteristic
72C2×Dic71⋊C4C2×C411yescharacteristic
73C2×Dic71⋊C4C2×C411yescharacteristic
74C2×Dic71⋊C4C2×C411yescharacteristic
75C2×Dic71⋊C4C2×C411yescharacteristic
76C2×Dic71⋊C4C2×C411yescharacteristic
77C2×(C2×D71)⋊C4—24no—
78C2×(C2×D71)⋊C4—24no—
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×Dic71—24no—
88C2×C4×Dic71C2×C411yescharacteristic
89C2×C4×Dic71C2×C411yescharacteristic
90C2×C4×Dic71C2311yescharacteristic
91C2×C4×Dic71C2311yescharacteristic
92C4⋊(C71⋊C8)—24no—
93C22⋊(C71⋊C8)—22no—
94C22⋊(C71⋊C8)—22no—
95(C2×D71)⋊C8—24no—
96(C2×D71)⋊C8—24no—
97(C2×D71)⋊C8—24no—
98(C2×D71)⋊C8—24no—
99#14556038—24no—
100C8×Dic71—24no—
101C23×C4×C71C2×C411yescharacteristic
102C23×C4×C71C2×C411yescharacteristic
103C23×C4×C71C2311yescharacteristic
104C22×C8×C71C2312yes—
105C22×C8×C71C2312yes—
106C2×C42×C71—24no—
107C2×C42×C71C2×C411yescharacteristic
108C2×C42×C71C2×C411yescharacteristic
109C2×C42×C71C2311yescharacteristic
110C2×C42×C71C2311yescharacteristic
111C4⋊C8×C71—24no—
112C22⋊C8×C71—22no—
113C22⋊C8×C71—22no—
114C23×D71—22no—
115C23×D71—22no—
116C23×D71—22no—
117C23×D71—22no—
118C23×D71—22no—
119C23×D71—41no—
120C23×D71—41no—
121C23×D71C22×C411yescharacteristic
122C23×D71C22×C411yescharacteristic
123C22×Dic71—22no—
124C22×Dic71—22no—
125C22×Dic71—22no—
126C22×Dic71—22no—
127C22×Dic71—22no—
128C22×Dic71—22no—
129C22×Dic71—22no—
130C22×Dic71—41no—
131C22×Dic71—41no—
132C22×Dic71C22×C411yescharacteristic
133C22×Dic71C22×C411yescharacteristic
134C22×Dic71C22×C411yescharacteristic
135C22×Dic71C22×C411yescharacteristic
136C22×Dic71C22×C411yescharacteristic
137C22×Dic71C22×C411yescharacteristic
138C2×C4×D71—216no—
139C2×C4×D71—216no—
140C2×C4×D71—22no—
141C2×C4×D71—22no—
142C2×C4×D71—22no—
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—22no—
151C2×C4×D71—22no—
152C2×C4×D71C2×D414yes—
153C2×C4×D71#4114yes—
154C2×C71⋊C8—22no—
155C2×C71⋊C8—22no—
156C2×C71⋊C8—22no—
157C2×C71⋊C8—22no—
158C2×C71⋊C8—22no—
159C2×C71⋊C8—22no—
160Dic71⋊C4—22no—
161Dic71⋊C4—22no—
162Dic71⋊C4—22no—
163Dic71⋊C4—22no—
164Dic71⋊C4—22no—
165Dic71⋊C4—22no—
166Dic71⋊C4C22⋊C414yes—
167Dic71⋊C4C22⋊C414yes—
168(C2×D71)⋊C4—22no—
169(C2×D71)⋊C4—22no—
170(C2×D71)⋊C4—22no—
171(C2×D71)⋊C4—22no—
172(C2×D71)⋊C4—22no—
173(C2×D71)⋊C4—22no—
174(C2×D71)⋊C4C22⋊C414yes—
175(C2×D71)⋊C4C22⋊C414yes—
176C4×Dic71—22no—
177C4×Dic71—22no—
178C4×Dic71—22no—
179C4×Dic71C2×D414yes—
180C24×C71C22×C411yescharacteristic
181C22×C4×C71—22no—
182C22×C4×C71—22no—
183C22×C4×C71—22no—
184C22×C4×C71—22no—
185C22×C4×C71—22no—
186C22×C4×C71—22no—
187C22×C4×C71—41no—
188C22×C4×C71—41no—
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71#4112yes—
195C22×C4×C71#4112yes—
196C22×C4×C71C2411yescharacteristic
197C2×C8×C71—22no—
198C2×C8×C71—22no—
199C2×C8×C71—22no—
200C2×C8×C71—22no—
201C2×C8×C71—22no—
202C2×C8×C71—22no—
203C42×C71—22no—
204C42×C71—22no—
205C42×C71—22no—
206C42×C71C2×D414yes—
207C23×C71—21no—
208C23×C71—21no—
209C23×C71—21no—
210C23×C71—21no—
211C23×C71#11712yes—
212C23×C71#13112yes—
213C23×C71#13112yes—
214C23×C71C23×C411yescharacteristic
215C22×D71—28no—
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—44no—
229C22×D71—44no—
230C22×D71—44no—
231C22×D71—44no—
232C22×D71—44no—
233C22×D71—44no—
234C22×D71C2×C22⋊C412yes—
235C22×D71#11712yes—
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—24no—
243C2×C4×C71—24no—
244C2×C4×C71—21no—
245C2×C4×C71—21no—
246C2×C4×C71—21no—
247C2×C4×C71—21no—
248C2×C4×C71—21no—
249C2×C4×C71—21no—
250C2×C4×C71—44no—
251C2×C4×C71—44no—
252C2×C4×C71C2×C22⋊C412yes—
253C2×C4×C71C2×C22⋊C412yes—
254C2×C4×C71#11712yes—
255C2×C4×C71C22×D412yes—
256C2×C4×C71C2×#4112yes—
257C2×C4×C71C2×#4111yescharacteristic
258C2×C4×C71C2×#4111yescharacteristic
259C2×Dic71—28no—
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—44no—
275C2×Dic71—44no—
276C2×Dic71C2×C22⋊C412yes—
277C2×Dic71C2×C22⋊C412yes—
278C2×Dic71C2×C22⋊C412yes—
279C2×Dic71#11712yes—
280C4×D71—28no—
281C4×D71—28no—
282C4×D71—24no—
283C4×D71—24no—
284C4×D71—24no—
285C4×D71—24no—
286C8×C71—42no—
287C8×C71—42no—
288C71⋊C8—42no—
289C71⋊C8—42no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—22no—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71#43314yescomplemented
297C22×C71C22×C22⋊C411yescharacteristic
298C22×C71C2×#11711yescharacteristic
299C22×C71C2×#11711yescharacteristic
300C22×C71C2×#13111yescharacteristic
301C22×C71C2×#13111yescharacteristic
302C22×C71#56811yescharacteristic
303C22×C71#56811yescharacteristic
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—22no—
307C2×D71—22no—
308C2×D71—22no—
309C2×D71—22no—
310C2×D71—416no—
311C2×D71—41no—
312C2×D71—41no—
313C2×D71—41no—
314C2×D71—41no—
315C2×D71—41no—
316C2×D71—41no—
317C2×D71—41no—
318C2×D71—41no—
319C4×C71—22no—
320C4×C71—22no—
321C4×C71—22no—
322C4×C71—41no—
323C4×C71—41no—
324C4×C71#52512yes—
325C4×C71#52512yes—
326Dic71—22no—
327Dic71—22no—
328Dic71—22no—
329Dic71—22no—
330Dic71—41no—
331Dic71—41no—
332#20716—711nomaximal, Sylow
333C2×C71—24no—
334C2×C71#228011yescharacteristic
335C2×C71#288011yescharacteristic
336C2×C71#288011yescharacteristic
337C2×C71C2×#43311yescharacteristic
338C2×C71#292111yescharacteristic
339C2×C71#292411yescharacteristic
340C2×C71#292411yescharacteristic
341D71—42no—
342D71—42no—
343C22×#117—711no—
344C2×#433—712no—
345#1818—712no—
346#1798—712no—
347#1797—711no—
348#1797D7111yescharacteristic, complemented
349#1779—711no—
350#1779—711no—
351#1750—712no—
352#1749—711no—
353C4×C22⋊C8—711no—
354C71#2071611yescharacteristic, complemented, Sylow
355C24×C4—711no—
356C2×#117—711no—
357C2×#117—711no—
358C2×#117—711no—
359C2×#117—711no—
360C2×#117—711no—
361C2×#117—711no—
362C2×#117—711no—
363C2×#117—711no—
364C2×#117—1428no—
365C22×C4⋊C4—711no—
366C22×C4⋊C4—711no—
367C22×C22⋊C4—711no—
368C22×C22⋊C4—711no—
369C22×C42—711no—
370C22×C42C2×D7111yescharacteristic
371#433—1428no—
372C2×C4⋊C8—712no—
373C2×C4⋊C8C2×D7112yescomplemented
374C2×C22⋊C8—711no—
375C2×C22⋊C8—711no—
376C2×C22⋊C8—712no—
377C2×C22⋊C8—712no—
378C2×C22⋊C8—712no—
379C2×C22⋊C8—712no—
380C2×C22⋊C8C2×D7111yescharacteristic
381C2×C22⋊C8C2×D7111yescharacteristic
382C2×#97—712no—
383C2×C4×C8—712no—
384#336—712no—
385#336—712no—
386#336—712no—
387#336C2×D7112yescomplemented
388C25—711no—
389C23×C4—711no—
390C23×C4—711no—
391C23×C4—711no—
392C23×C4—711no—
393C23×C4—711no—
394C23×C4—711no—
395C23×C4—711no—
396C23×C4—1424no—
397C23×C4—1424no—
398C23×C4—1422no—
399C23×C4—1422no—
400C23×C4C4×D7111yescharacteristic
401C23×C4C4×D7111yescharacteristic
402C23×C4C22×D7111yescharacteristic
403C22×C8—712no—
404C22×C8—712no—
405C22×C8C22×D7112yes—
406C22×C8C22×D7112yes—
407#117—718no—
408#117—1424no—
409#117—1424no—
410#117—1424no—
411#117—1424no—
412#117—1424no—
413#117—1424no—
414#117—1424no—
415C2×C4⋊C4—711no—
416C2×C4⋊C4—711no—
417C2×C4⋊C4—711no—
418C2×C4⋊C4—711no—
419C2×C4⋊C4—711no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—711no—
423C2×C4⋊C4—1424no—
424C2×C4⋊C4—1424no—
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—1424no—
434C2×C22⋊C4—1424no—
435C2×C42—24no—
436C2×C42—711no—
437C2×C42—711no—
438C2×C42—711no—
439C2×C42—711no—
440C2×C42—1424no—
441C2×C42C4×D7111yescharacteristic
442C2×C42C4×D7111yescharacteristic
443C2×C42C22×D7111yescharacteristic
444C2×C42C22×D7111yescharacteristic
445C4⋊C8—24no—
446C4⋊C8—1424no—
447C22⋊C8—22no—
448C22⋊C8—22no—
449C22⋊C8—1424no—
450C22⋊C8—1424no—
451C22⋊C8—1424no—
452C22⋊C8—1424no—
453C22⋊C8—1422no—
454C22⋊C8—1422no—
455#97—1424no—
456C4×C8—1424no—
457C24—2841no—
458C24—2841no—
459C24—711no—
460C24—711no—
461C24—1422no—
462C24—1422no—
463C24—1422no—
464C24—1422no—
465C24—1422no—
466C24C2×C4×D7111yescharacteristic
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—2841no—
476C22×C4—2841no—
477C22×C4—711no—
478C22×C4—711no—
479C22×C4—711no—
480C22×C4—711no—
481C22×C4—714no—
482C22×C4—714no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—1422no—
486C22×C4—1422no—
487C22×C4—1422no—
488C22×C4—1422no—
489C22×C4—14216no—
490C22×C4—14216no—
491C22×C4—1422no—
492C22×C4—1422no—
493C22×C4—1422no—
494C22×C4—1422no—
495C22×C4—1422no—
496C22×C4—1422no—
497C22×C4—1422no—
498C22×C4—1422no—
499C22×C4—1422no—
500C22×C4—1421no—
501C22×C4—1421no—
502C22×C4—1421no—
503C22×C4—1421no—
504C22×C4—1422no—
505C22×C4—1422no—
506C22×C4C2×C4×D7111yescharacteristic
507C22×C4C2×C4×D7111yescharacteristic
508C22×C4C2×C4×D7111yescharacteristic
509C22×C4C2×C4×D7111yescharacteristic
510C22×C4C2×C4×D7111yescharacteristic
511C22×C4#1176586412yes—
512C22×C4#1176586612yes—
513C22×C4C23×D7111yescharacteristic
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—1422no—
521C2×C8—1422no—
522C2×C8—1422no—
523C2×C8—1422no—
524C2×C8—1422no—
525C2×C8—1422no—
526C4⋊C4—714no—
527C4⋊C4—714no—
528C4⋊C4—1422no—
529C4⋊C4—1422no—
530C4⋊C4—1422no—
531C4⋊C4—1422no—
532C4⋊C4—1422no—
533C4⋊C4—1422no—
534C22⋊C4—714no—
535C22⋊C4—714no—
536C22⋊C4—1422no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—714no—
546C42—1422no—
547C42—1422no—
548C42—1422no—
549C42D4×D7114yes—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—2844no—
555C23—2844no—
556C23—2844no—
557C23—2844no—
558C23—2844no—
559C23—2844no—
560C23—712no—
561C23—712no—
562C23—1428no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23—1421no—
570C23—1421no—
571C23—1421no—
572C23—1421no—
573C23—1421no—
574C23—1421no—
575C23#1455608612yes—
576C23#1455613412yes—
577C23#1455613612yes—
578C23C22×C4×D7111yescharacteristic
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—2844no—
596C2×C4—2844no—
597C2×C4—712no—
598C2×C4—712no—
599C2×C4—712no—
600C2×C4—712no—
601C2×C4—1428no—
602C2×C4—1428no—
603C2×C4—1421no—
604C2×C4—1421no—
605C2×C4—1421no—
606C2×C4—1421no—
607C2×C4—1421no—
608C2×C4—1421no—
609C2×C4—1428no—
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—1424no—
619C2×C4—1424no—
620C2×C4—1424no—
621C2×C4—1424no—
622C2×C4C22⋊C4×D7112yes—
623C2×C4C22⋊C4×D7112yes—
624C2×C4#1455608612yes—
625C2×C4C2×D4×D7112yes—
626C2×C4#41×D7112yes—
627C2×C4C2×#1176586411yescharacteristic
628C2×C4C2×#1176586611yescharacteristic
629C8—42no—
630C8—42no—
631C8—2842no—
632C8—2842no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—28416no—
640C22—2841no—
641C22—2841no—
642C22—2841no—
643C22—2841no—
644C22—2841no—
645C22—2841no—
646C22—2841no—
647C22—2841no—
648C22—1422no—
649C22—1422no—
650C22—1422no—
651C22—1422no—
652C22—1422no—
653C22—1422no—
654C22#1798605914yescomplemented
655C22C2×C22⋊C4×D7111yescharacteristic
656C22#117×D7111yescharacteristic
657C22C2×#1455608611yescharacteristic
658C22C2×#1455613411yescharacteristic
659C22C2×#1455613611yescharacteristic
660C22#1798676511yescharacteristic
661C22#1798676511yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—2841no—
668C4—2841no—
669C4—1422no—
670C4—1422no—
671C4—1422no—
672C4—1422no—
673C4#1798650912yes—
674C4#1798651212yes—
675C2—24no—
676C2—2842no—
677C2—2842no—
678C2#2259072211yescharacteristic
679C2#2259678611yescharacteristic
680C2#2259679011yescharacteristic
681C2C2×#1798605911yescharacteristic
682C2#2259697711yescharacteristic
683C2#2259699311yescharacteristic
684C2#2259699911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1797C2
prime radicalC24×D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1797D71
hypocenterC71#20716
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#17986059C2semidirect
3. #22588410C2semidirect
4. #22588321C2semidirect
5. #22588320C2semidirect
8. #22588105C2semidirect
9. #22588104C2semidirect
10. C22⋊C8×Dic71C2semidirect
11. C71×#1797C2semidirect
28. C2×C4⋊(C71⋊C8)C22semidirect
35. C2×#14556038C22semidirect
36. C2×C8×Dic71C22semidirect
37. #17985754C22semidirect
38. #17985753C22semidirect
39. #17985753C22semidirect
41. C2×C4⋊C8×C71C22semidirect
44. #336×C71C22semidirect
296. C22×C71#433semidirect
348. #1797D71semidirect
354. C71#20716semidirect
373. C2×C4⋊C8C2×D71semidirect
387. #336C2×D71semidirect
654. C22#17986059semidirect

Maximal subgroups

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

subgroupindex
C22×#145560852
C2×#179860592
#225884102
#225883212
#225883202
#225882492
#225881052
#225881042
C22⋊C8×Dic712
C71×#17972
#2071671