Finite Group Databasebeta

← #31997329

Subgroups — #31997329

Order 18176.

2038 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C42×D71C211yesmaximal, characteristic
2C2×#17986051C212yesmaximal, complemented
3#22588407C212yesmaximal, complemented
4#22588320C211yesmaximal, characteristic, complemented
5#22588317C212yesmaximal, complemented
6#22588249C212yesmaximal
7C22⋊C8×Dic71C212yesmaximal, complemented
8#22588097C212yesmaximal, complemented
9C71×#1797C211yesmaximal, characteristic, complemented
10C23×C4×D71C411yescharacteristic
11C23×C4×D71C411yescharacteristic
12C23×C4×D71C2211yescharacteristic
13C22×C4×Dic71C411yescharacteristic
14C22×C4×Dic71C411yescharacteristic
15C22×C4×Dic71C2211yescharacteristic
16C2×C42×D71—28no—
17C2×C42×D71C411yescharacteristic
18C2×C42×D71C411yescharacteristic
19C2×C42×D71C411yescharacteristic
20C2×C42×D71C411yescharacteristic
21C2×C42×D71C2211yescharacteristic
22C2×C42×D71C2211yescharacteristic
23C2×C42×D71C2211yescharacteristic
24C2×C42×D71C2211yescharacteristic
25#17986051—28no—
26C2×C4⋊(C71⋊C8)C2212yescomplemented
27C2×C22⋊(C71⋊C8)C2212yes—
28C2×(C2×D71)⋊C8C2214yes—
29C2×(C2×D71)⋊C8C2214yes—
30C2×C8×Dic71C2214yescomplemented
31#17985754C2212yescomplemented
32#17985753C2214yescomplemented
33C22×C42×C71C2211yescharacteristic
34C2×C4⋊C8×C71C2212yescomplemented
35C2×C22⋊C8×C71C2212yes—
36#336×C71C2212yescomplemented
37C24×D71C2×C411yescharacteristic
38C23×Dic71C2×C411yescharacteristic
39C23×Dic71C2×C411yescharacteristic
40C23×Dic71C2×C411yescharacteristic
41C22×C4×D71—24no—
42C22×C4×D71—24no—
43C22×C4×D71—24no—
44C22×C4×D71—24no—
45C22×C4×D71—24no—
46C22×C4×D71—24no—
47C22×C4×D71—24no—
48C22×C4×D71—22no—
49C22×C4×D71—22no—
50C22×C4×D71C818yescomplemented
51C22×C4×D71C2×C411yescharacteristic
52C22×C4×D71C2×C411yescharacteristic
53C22×C4×D71C2×C411yescharacteristic
54C22×C4×D71C2×C411yescharacteristic
55C22×C4×D71C2×C411yescharacteristic
56C22×C4×D71C2×C411yescharacteristic
57C22×C4×D71C2×C411yescharacteristic
58C22×C4×D71C2×C411yescharacteristic
59C22×C4×D71C2×C411yescharacteristic
60C22×C4×D71C2×C411yescharacteristic
61C22×C4×D71C2311yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C22×C71⋊C8C2314yes—
64C2×C4×Dic71—24no—
65C2×C4×Dic71—24no—
66C2×C4×Dic71—24no—
67C2×C4×Dic71C2×C411yescharacteristic
68C2×C4×Dic71C2×C411yescharacteristic
69C2×C4×Dic71C2×C411yescharacteristic
70C2×C4×Dic71C2×C411yescharacteristic
71C2×C4×Dic71C2×C411yescharacteristic
72C2×C4×Dic71C2×C411yescharacteristic
73C2×C4×Dic71C2×C411yescharacteristic
74C2×C4×Dic71C2×C411yescharacteristic
75C2×C4×Dic71C2×C411yescharacteristic
76C2×C4×Dic71C2×C411yescharacteristic
77C2×C4×Dic71C2311yescharacteristic
78C2×C4×Dic71C2311yescharacteristic
79C42×D71—24no—
80C42×D71—24no—
81C42×D71—24no—
82C42×D71—24no—
83C42×D71—24no—
84C42×D71—24no—
85C42×D71—24no—
86C42×D71D418yes—
87C4⋊(C71⋊C8)—24no—
88C22⋊(C71⋊C8)—24no—
89(C2×D71)⋊C8—28no—
90(C2×D71)⋊C8—28no—
91C8×Dic71—28no—
92C23×C4×C71C2×C411yescharacteristic
93C23×C4×C71C2×C411yescharacteristic
94C23×C4×C71C2311yescharacteristic
95C22×C8×C71C2314yes—
96C2×C42×C71—24no—
97C2×C42×C71C2×C411yescharacteristic
98C2×C42×C71C2×C411yescharacteristic
99C2×C42×C71C2311yescharacteristic
100C2×C42×C71C2311yescharacteristic
101C4⋊C8×C71—24no—
102C22⋊C8×C71—24no—
103C23×D71—22no—
104C23×D71—22no—
105C23×D71—22no—
106C23×D71—22no—
107C23×D71—22no—
108C23×D71—22no—
109C23×D71C2×C814yes—
110C23×D71C22×C411yescharacteristic
111C23×D71C22×C411yescharacteristic
112C22×Dic71—22no—
113C22×Dic71—22no—
114C22×Dic71—22no—
115C22×Dic71—22no—
116C22×Dic71—22no—
117C22×Dic71—22no—
118C22×Dic71—22no—
119C22×Dic71C2×C814yes—
120C22×Dic71M1614yes—
121C22×Dic71C22×C411yescharacteristic
122C22×Dic71C22×C411yescharacteristic
123C22×Dic71C22×C411yescharacteristic
124C22×Dic71C22×C411yescharacteristic
125C22×Dic71C22×C411yescharacteristic
126C22×Dic71C22×C411yescharacteristic
127C2×C4×D71—216no—
128C2×C4×D71—216no—
129C2×C4×D71—232no—
130C2×C4×D71—22no—
131C2×C4×D71—22no—
132C2×C4×D71—22no—
133C2×C4×D71—22no—
134C2×C4×D71—22no—
135C2×C4×D71—22no—
136C2×C4×D71—22no—
137C2×C4×D71—22no—
138C2×C4×D71—22no—
139C2×C4×D71—22no—
140C2×C4×D71—22no—
141C2×C4×D71—22no—
142C2×C4×D71—22no—
143C2×C4×D71—22no—
144C2×C4×D71—21no—
145C2×C4×D71—21no—
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—22no—
149C2×C4×D71—22no—
150C2×C4×D71—22no—
151C2×C4×D71—22no—
152C2×C4×D71—22no—
153C2×C4×D71—22no—
154C2×C4×D71—22no—
155C2×C4×D71—22no—
156C2×C4×D71—22no—
157C2×C4×D71—22no—
158C2×C4×D71—232no—
159C2×C4×D71C22⋊C414yes—
160C2×C4×D71C22⋊C414yes—
161C2×C4×D71C2×C814yes—
162C2×C4×D71C2×C814yes—
163C2×C4×D71C2×C814yes—
164C2×C4×D71C2×C814yes—
165C2×C4×D71M1614yes—
166C2×C4×D71M1614yes—
167C2×C4×D71C2×D414yes—
168C2×C4×D71#4114yes—
169C2×C71⋊C8—24no—
170C2×C71⋊C8—24no—
171C2×C71⋊C8—24no—
172C4×Dic71—22no—
173C4×Dic71—22no—
174C4×Dic71—22no—
175C4×Dic71—22no—
176C4×Dic71—22no—
177C4×Dic71—22no—
178C4×Dic71—22no—
179C4×Dic71—22no—
180C4×Dic71—22no—
181C4×Dic71C22⋊C414yes—
182C4×Dic71C22⋊C414yes—
183C4×Dic71C2×D414yes—
184C24×C71C22×C411yescharacteristic
185C22×C4×C71—22no—
186C22×C4×C71—22no—
187C22×C4×C71—22no—
188C22×C4×C71—22no—
189C22×C4×C71—22no—
190C22×C4×C71—22no—
191C22×C4×C71—22no—
192C22×C4×C71C2×C814yes—
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C22×C411yescharacteristic
195C22×C4×C71C22×C411yescharacteristic
196C22×C4×C71C22×C411yescharacteristic
197C22×C4×C71C22×C411yescharacteristic
198C22×C4×C71#4112yes—
199C22×C4×C71#4112yes—
200C22×C4×C71C2411yescharacteristic
201C2×C8×C71—24no—
202C2×C8×C71—24no—
203C2×C8×C71—24no—
204C42×C71—22no—
205C42×C71—22no—
206C42×C71—22no—
207C42×C71C2×D414yes—
208C23×C71—21no—
209C23×C71—21no—
210C23×C71—21no—
211C23×C71—21no—
212C23×C71#11712yes—
213C23×C71C22×C812yes—
214C23×C71C2×M1612yes—
215C23×C71C23×C411yescharacteristic
216C22×D71—28no—
217C22×D71—28no—
218C22×D71—28no—
219C22×D71—28no—
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—28no—
229C22×D71—28no—
230C22×D71—28no—
231C22×D71C2×C22⋊C412yes—
232C22×D71#11712yes—
233C22×D71C22×C812yes—
234C22×D71C22×C812yes—
235C22×D71C2×M1612yes—
236C22×D71C2×M1612yes—
237C2×C4×C71—28no—
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—24no—
247C2×C4×C71—24no—
248C2×C4×C71—28no—
249C2×C4×C71C2×C22⋊C412yes—
250C2×C4×C71C2×C22⋊C412yes—
251C2×C4×C71#11712yes—
252C2×C4×C71C22×C812yes—
253C2×C4×C71C22×C812yes—
254C2×C4×C71C2×M1612yes—
255C2×C4×C71C2×M1612yes—
256C2×C4×C71C22×D412yes—
257C2×C4×C71C2×#4112yes—
258C2×C4×C71C2×#4111yescharacteristic
259C2×C4×C71C2×#4111yescharacteristic
260C2×Dic71—28no—
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—28no—
270C2×Dic71—28no—
271C2×Dic71C2×C22⋊C412yes—
272C2×Dic71C2×C22⋊C412yes—
273C2×Dic71C2×C22⋊C412yes—
274C2×Dic71#11712yes—
275C2×Dic71C22×C812yes—
276C2×Dic71C22×C812yes—
277C2×Dic71C2×M1612yes—
278C2×Dic71C2×M1612yes—
279C2×Dic71C2×M1612yes—
280C2×Dic71C2×M1612yes—
281C4×D71—28no—
282C4×D71—28no—
283C4×D71—28no—
284C4×D71—28no—
285C4×D71—28no—
286C4×D71—24no—
287C4×D71—24no—
288C4×D71—24no—
289C4×D71—24no—
290C4×D71—28no—
291C4×D71—28no—
292C4×D71—28no—
293C4×D71—28no—
294C4×D71C22⋊C8116yescomplemented
295C8×C71—44no—
296C71⋊C8—44no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71—22no—
300C22×C71—22no—
301C22×C71—22no—
302C22×C71—22no—
303C22×C71#43114yescomplemented
304C22×C71C22×C22⋊C411yescharacteristic
305C22×C71C2×#11711yescharacteristic
306C22×C71C2×#11711yescharacteristic
307C22×C71C23×C811yescharacteristic
308C22×C71C22×M1611yescharacteristic
309C22×C71C22×M1611yescharacteristic
310C22×C71C22×M1611yescharacteristic
311C2×D71—232no—
312C2×D71—22no—
313C2×D71—22no—
314C2×D71—22no—
315C2×D71—22no—
316C2×D71—22no—
317C2×D71—22no—
318C2×D71—22no—
319C2×D71—22no—
320C2×D71—22no—
321C2×D71—22no—
322C2×D71—22no—
323C2×D71—22no—
324C2×D71C2×C22⋊C814yes—
325C2×D71#43114yescomplemented
326C4×C71—22no—
327C4×C71—22no—
328C4×C71—22no—
329C4×C71—22no—
330C4×C71C2×C22⋊C814yes—
331C4×C71#52512yes—
332C4×C71#52512yes—
333Dic71—22no—
334Dic71—22no—
335Dic71—22no—
336Dic71—22no—
337Dic71C2×C22⋊C814yes—
338Dic71#40714yes—
339#20714—711nomaximal, Sylow
340C2×C71—24no—
341C2×C71#228011yescharacteristic
342C2×C71C22×C22⋊C811yescharacteristic
343C2×C71C2×#40711yescharacteristic
344C2×C71C2×#43111yescharacteristic
345C2×C71C2×#43111yescharacteristic
346C2×C71#292011yescharacteristic
347C2×C71#292011yescharacteristic
348D71—24no—
349D71—24no—
350C23×C42—711no—
351C2×#431—712no—
352#1817—712no—
353#1797—711no—
354#1797—712no—
355#1797D7111yescharacteristic, complemented
356#1779—712no—
357C4×C22⋊C8—712no—
358C4×C22⋊C8—712no—
359C71#2071411yescharacteristic, complemented, Sylow
360C24×C4—711no—
361C24×C4—711no—
362C24×C4—711no—
363C22×C42—711no—
364C22×C42—711no—
365C22×C42—711no—
366C22×C42—711no—
367C22×C42—711no—
368C22×C42—711no—
369C22×C42—711no—
370C22×C42—711no—
371C22×C42—711no—
372C22×C42—711no—
373C22×C42—711no—
374C22×C42—1428no—
375C22×C42C2×D7111yescharacteristic
376#431—1428no—
377C2×C4⋊C8—712no—
378C2×C4⋊C8C2×D7112yescomplemented
379C2×C22⋊C8—712no—
380C2×C22⋊C8—714no—
381C2×C22⋊C8—714no—
382C2×C22⋊C8C2×D7112yes—
383C2×C4×C8—714no—
384#336—714no—
385#336—712no—
386#336C2×D7112yescomplemented
387C25—711no—
388C23×C4—711no—
389C23×C4—711no—
390C23×C4—711no—
391C23×C4—718no—
392C23×C4—711no—
393C23×C4—711no—
394C23×C4—711no—
395C23×C4—711no—
396C23×C4—711no—
397C23×C4—711no—
398C23×C4—711no—
399C23×C4—711no—
400C23×C4—711no—
401C23×C4—711no—
402C23×C4—711no—
403C23×C4—711no—
404C23×C4—1424no—
405C23×C4—1424no—
406C23×C4—1424no—
407C23×C4—1424no—
408C23×C4—1424no—
409C23×C4—1424no—
410C23×C4—1424no—
411C23×C4—1422no—
412C23×C4—1422no—
413C23×C4C4×D7111yescharacteristic
414C23×C4C4×D7111yescharacteristic
415C23×C4C22×D7111yescharacteristic
416C22×C8—714no—
417C22×C8C22×D7114yes—
418C2×C42—24no—
419C2×C42—711no—
420C2×C42—711no—
421C2×C42—711no—
422C2×C42—718no—
423C2×C42—711no—
424C2×C42—711no—
425C2×C42—711no—
426C2×C42—711no—
427C2×C42—711no—
428C2×C42—711no—
429C2×C42—711no—
430C2×C42—711no—
431C2×C42—711no—
432C2×C42—1424no—
433C2×C42—1424no—
434C2×C42—1424no—
435C2×C42—1424no—
436C2×C42—1424no—
437C2×C42—1424no—
438C2×C42—1424no—
439C2×C42—1424no—
440C2×C42—1424no—
441C2×C42—1424no—
442C2×C42C4×D7111yescharacteristic
443C2×C42C4×D7111yescharacteristic
444C2×C42C22×D7111yescharacteristic
445C2×C42C22×D7111yescharacteristic
446C4⋊C8—24no—
447C4⋊C8—1424no—
448C22⋊C8—24no—
449C22⋊C8—1428no—
450C22⋊C8—1428no—
451C22⋊C8—1424no—
452C4×C8—1428no—
453C24—711no—
454C24—711no—
455C24—714no—
456C24—1422no—
457C24—1422no—
458C24—1422no—
459C24—1422no—
460C24—1422no—
461C24—1422no—
462C24C2×C4×D7111yescharacteristic
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—711no—
471C22×C4—711no—
472C22×C4—714no—
473C22×C4—714no—
474C22×C4—714no—
475C22×C4—711no—
476C22×C4—711no—
477C22×C4—711no—
478C22×C4—711no—
479C22×C4—714no—
480C22×C4—714no—
481C22×C4—714no—
482C22×C4—714no—
483C22×C4—714no—
484C22×C4—714no—
485C22×C4—714no—
486C22×C4—714no—
487C22×C4—714no—
488C22×C4—1422no—
489C22×C4—1422no—
490C22×C4—1422no—
491C22×C4—1422no—
492C22×C4—1422no—
493C22×C4—1422no—
494C22×C4—1422no—
495C22×C4—1422no—
496C22×C4—1422no—
497C22×C4—1422no—
498C22×C4—14232no—
499C22×C4—1422no—
500C22×C4—1422no—
501C22×C4—1422no—
502C22×C4—1422no—
503C22×C4—1422no—
504C22×C4—1422no—
505C22×C4—14232no—
506C22×C4—14216no—
507C22×C4—14216no—
508C22×C4—1422no—
509C22×C4—1422no—
510C22×C4—1422no—
511C22×C4—1422no—
512C22×C4—1422no—
513C22×C4—1422no—
514C22×C4—1422no—
515C22×C4—1422no—
516C22×C4—1422no—
517C22×C4—1421no—
518C22×C4—1421no—
519C22×C4—1421no—
520C22×C4—1421no—
521C22×C4—1422no—
522C22×C4—1422no—
523C22×C4—1422no—
524C22×C4—1422no—
525C22×C4—1422no—
526C22×C4—1422no—
527C22×C4C8×D7114yes—
528C22×C4C2×C4×D7111yescharacteristic
529C22×C4C2×C4×D7111yescharacteristic
530C22×C4C2×C4×D7111yescharacteristic
531C22×C4C2×C4×D7111yescharacteristic
532C22×C4C2×C4×D7111yescharacteristic
533C22×C4#1176586412yes—
534C22×C4#1176586612yes—
535C22×C4C23×D7111yescharacteristic
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—1424no—
540C2×C8—1424no—
541C2×C8—1424no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—714no—
546C42—714no—
547C42—714no—
548C42—1422no—
549C42—1422no—
550C42—1422no—
551C42—1422no—
552C42—1422no—
553C42—1422no—
554C42—1422no—
555C42—1422no—
556C42—1422no—
557C42D4×D7114yes—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—712no—
563C23—712no—
564C23—712no—
565C23—712no—
566C23—712no—
567C23—712no—
568C23—1428no—
569C23—1428no—
570C23—1428no—
571C23—1428no—
572C23—1428no—
573C23—1428no—
574C23—1428no—
575C23—1421no—
576C23—1421no—
577C23—1421no—
578C23—1421no—
579C23—1421no—
580C23—1421no—
581C23—1421no—
582C23—1421no—
583C23#1455608612yes—
584C23C2×C8×D7112yes—
585C23M16×D7112yes—
586C23C22×C4×D7111yescharacteristic
587C2×C4—28no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—28no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—712no—
600C2×C4—712no—
601C2×C4—712no—
602C2×C4—712no—
603C2×C4—712no—
604C2×C4—712no—
605C2×C4—7116no—
606C2×C4—712no—
607C2×C4—712no—
608C2×C4—712no—
609C2×C4—712no—
610C2×C4—1428no—
611C2×C4—1428no—
612C2×C4—1428no—
613C2×C4—1428no—
614C2×C4—1428no—
615C2×C4—1428no—
616C2×C4—1428no—
617C2×C4—1428no—
618C2×C4—1428no—
619C2×C4—1428no—
620C2×C4—1428no—
621C2×C4—1421no—
622C2×C4—1421no—
623C2×C4—1421no—
624C2×C4—1421no—
625C2×C4—1421no—
626C2×C4—1421no—
627C2×C4—1421no—
628C2×C4—1421no—
629C2×C4—1428no—
630C2×C4—1424no—
631C2×C4—1424no—
632C2×C4—1424no—
633C2×C4—1424no—
634C2×C4C22⋊C4×D7112yes—
635C2×C4C22⋊C4×D7112yes—
636C2×C4#1455608612yes—
637C2×C4C2×C8×D7112yes—
638C2×C4C2×C8×D7112yes—
639C2×C4M16×D7112yes—
640C2×C4M16×D7112yes—
641C2×C4C2×D4×D7112yes—
642C2×C4#41×D7112yes—
643C2×C4C2×#1176586411yescharacteristic
644C2×C4C2×#1176586611yescharacteristic
645C8—44no—
646C8—2844no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—714no—
654C22—714no—
655C22—14232no—
656C22—1422no—
657C22—1422no—
658C22—1422no—
659C22—1422no—
660C22—1422no—
661C22—1422no—
662C22—1422no—
663C22—1422no—
664C22—1422no—
665C22—1422no—
666C22—1422no—
667C22—1422no—
668C22#1798605114yescomplemented
669C22C2×C22⋊C4×D7111yescharacteristic
670C22#117×D7111yescharacteristic
671C22C2×#1455608611yescharacteristic
672C22C22×C8×D7111yescharacteristic
673C22C2×M16×D7111yescharacteristic
674C22C2×M16×D7111yescharacteristic
675C22C2×M16×D7111yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—714no—
681C4—714no—
682C4—1422no—
683C4—1422no—
684C4—1422no—
685C4—1422no—
686C4C22⋊C8×D7114yes—
687C4#1798650912yes—
688C4#1798651212yes—
689C2—24no—
690C2—1424no—
691C2—1424no—
692C2#2259072211yescharacteristic
693C2C2×C22⋊C8×D7111yescharacteristic
694C2#407×D7111yescharacteristic
695C2#431×D7111yescharacteristic
696C2C2×#1798605111yescharacteristic
697C2#2259697011yescharacteristic
698C2#2259697211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutatorC22×C71C23×C8
FittingC71×#1797C2
socleC23×C71C23×C4
prime radicalC24×D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1797D71
hypocenterC71#20714
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#17986051C2semidirect
3. #22588407C2semidirect
4. #22588320C2semidirect
5. #22588317C2semidirect
7. C22⋊C8×Dic71C2semidirect
8. #22588097C2semidirect
9. C71×#1797C2semidirect
26. C2×C4⋊(C71⋊C8)C22semidirect
30. C2×C8×Dic71C22semidirect
31. #17985754C22semidirect
32. #17985753C22semidirect
34. C2×C4⋊C8×C71C22semidirect
36. #336×C71C22semidirect
50. C22×C4×D71C8semidirect
294. C4×D71C22⋊C8semidirect
303. C22×C71#431semidirect
325. C2×D71#431semidirect
355. #1797D71semidirect
359. C71#20714semidirect
378. C2×C4⋊C8C2×D71semidirect
386. #336C2×D71semidirect
668. C22#17986051semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D712
C2×#179860512
#225884072
#225883202
#225883172
#225882492
C22⋊C8×Dic712
#225880972
C71×#17972
#2071471