Finite Group Databasebeta

← #31997328

Subgroups — #31997328

Order 18176.

2038 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
1C22×C42×D71C211yesmaximal, characteristic
2C2×#17986050C212yesmaximal, complemented
3#22588407C212yesmaximal, complemented
4#22588319C212yesmaximal, complemented
5#22588318C212yesmaximal, complemented
6#22588249C212yesmaximal
7C4×(C2×D71)⋊C8C212yesmaximal, complemented
8C4×C22⋊(C71⋊C8)C211yesmaximal, characteristic, complemented
9C4×C22⋊C8×C71C211yesmaximal, 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#17986050—28no—
26C2×Dic71⋊C8C2214yescomplemented
27C2×C22⋊(C71⋊C8)C2212yes—
28C2×(C2×D71)⋊C8C2214yes—
29C2×(C2×D71)⋊C8C2214yes—
30C2×C4×C71⋊C8C2212yescomplemented
31#17985754C2212yescomplemented
32#17985753C2214yescomplemented
33C22×C42×C71C2211yescharacteristic
34C2×C22⋊C8×C71C2212yes—
35C2×C4×C8×C71C2212yescomplemented
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—24no—
49C22×C4×D71C818yescomplemented
50C22×C4×D71C2×C411yescharacteristic
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×D71C2311yescharacteristic
61C22×C4×D71C2311yescharacteristic
62C22×C71⋊C8C2314yes—
63C2×C4×Dic71—24no—
64C2×C4×Dic71—24no—
65C2×C4×Dic71—24no—
66C2×C4×Dic71C2×C411yescharacteristic
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×Dic71C2311yescharacteristic
77C2×C4×Dic71C2311yescharacteristic
78C42×D71—24no—
79C42×D71—24no—
80C42×D71—24no—
81C42×D71—24no—
82C42×D71—24no—
83C42×D71—24no—
84C42×D71—24no—
85C42×D71D418yes—
86Dic71⋊C8—28no—
87C22⋊(C71⋊C8)—24no—
88(C2×D71)⋊C8—28no—
89(C2×D71)⋊C8—28no—
90C4×C71⋊C8—24no—
91C23×C4×C71C2×C411yescharacteristic
92C23×C4×C71C2×C411yescharacteristic
93C23×C4×C71C2311yescharacteristic
94C22×C8×C71C2314yes—
95C2×C42×C71—24no—
96C2×C42×C71C2×C411yescharacteristic
97C2×C42×C71C2×C411yescharacteristic
98C2×C42×C71C2311yescharacteristic
99C2×C42×C71C2311yescharacteristic
100C22⋊C8×C71—24no—
101C4×C8×C71—24no—
102C23×D71—22no—
103C23×D71—22no—
104C23×D71—22no—
105C23×D71—22no—
106C23×D71—22no—
107C23×D71—22no—
108C23×D71C2×C814yes—
109C23×D71C22×C411yescharacteristic
110C23×D71C22×C411yescharacteristic
111C22×Dic71—22no—
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×Dic71C22×C411yescharacteristic
121C22×Dic71C22×C411yescharacteristic
122C22×Dic71C22×C411yescharacteristic
123C22×Dic71C22×C411yescharacteristic
124C22×Dic71C22×C411yescharacteristic
125C22×Dic71C22×C411yescharacteristic
126C2×C4×D71—232no—
127C2×C4×D71—232no—
128C2×C4×D71—22no—
129C2×C4×D71—22no—
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—22no—
145C2×C4×D71—22no—
146C2×C4×D71—22no—
147C2×C4×D71—22no—
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—232no—
155C2×C4×D71C22⋊C414yes—
156C2×C4×D71C22⋊C414yes—
157C2×C4×D71C2×C814yes—
158C2×C4×D71C2×C814yes—
159C2×C4×D71C2×C814yes—
160C2×C4×D71C2×C814yes—
161C2×C4×D71M1614yes—
162C2×C4×D71M1614yes—
163C2×C4×D71C2×D414yes—
164C2×C4×D71#4114yes—
165C2×C71⋊C8—24no—
166C2×C71⋊C8—24no—
167C2×C71⋊C8—24no—
168C4×Dic71—22no—
169C4×Dic71—22no—
170C4×Dic71—22no—
171C4×Dic71—22no—
172C4×Dic71—22no—
173C4×Dic71—22no—
174C4×Dic71—22no—
175C4×Dic71—22no—
176C4×Dic71—22no—
177C4×Dic71C22⋊C414yes—
178C4×Dic71C22⋊C414yes—
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×C71C2×C814yes—
188C22×C4×C71M1614yes—
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71#4114yes—
195C22×C4×C71C2411yescharacteristic
196C2×C8×C71—24no—
197C2×C8×C71—24no—
198C2×C8×C71—24no—
199C42×C71—22no—
200C42×C71—22no—
201C42×C71—22no—
202C42×C71C2×D414yes—
203C23×C71—21no—
204C23×C71—21no—
205C23×C71—21no—
206C23×C71—21no—
207C23×C71#11712yes—
208C23×C71C22×C812yes—
209C23×C71C2×M1612yes—
210C23×C71C23×C411yescharacteristic
211C22×D71—28no—
212C22×D71—28no—
213C22×D71—28no—
214C22×D71—28no—
215C22×D71—21no—
216C22×D71—21no—
217C22×D71—21no—
218C22×D71—21no—
219C22×D71—21no—
220C22×D71—21no—
221C22×D71—21no—
222C22×D71—21no—
223C22×D71—28no—
224C22×D71—28no—
225C22×D71—28no—
226C22×D71C2×C22⋊C412yes—
227C22×D71#11712yes—
228C22×D71C22×C812yes—
229C22×D71C22×C812yes—
230C22×D71C2×M1612yes—
231C22×D71C2×M1612yes—
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—28no—
239C2×C4×C71—28no—
240C2×C4×C71—28no—
241C2×C4×C71C2×C22⋊C412yes—
242C2×C4×C71C2×C22⋊C412yes—
243C2×C4×C71#11712yes—
244C2×C4×C71C22×C812yes—
245C2×C4×C71C22×C812yes—
246C2×C4×C71C2×M1612yes—
247C2×C4×C71C2×M1612yes—
248C2×C4×C71C2×M1612yes—
249C2×C4×C71C2×M1612yes—
250C2×C4×C71C22×D412yes—
251C2×C4×C71C2×#4112yes—
252C2×C4×C71C2×#4112yes—
253C2×Dic71—28no—
254C2×Dic71—28no—
255C2×Dic71—21no—
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—28no—
266C2×Dic71C2×C22⋊C412yes—
267C2×Dic71C2×C22⋊C412yes—
268C2×Dic71C2×C22⋊C412yes—
269C2×Dic71#11712yes—
270C2×Dic71C22×C812yes—
271C2×Dic71C22×C812yes—
272C2×Dic71C2×M1612yes—
273C2×Dic71C2×M1612yes—
274C4×D71—28no—
275C4×D71—28no—
276C4×D71—28no—
277C4×D71—28no—
278C4×D71—28no—
279C4×D71—28no—
280C4×D71—28no—
281C4×D71—28no—
282C4×D71—28no—
283C4×D71—28no—
284C4×D71—28no—
285C4×D71C22⋊C8116yescomplemented
286C8×C71—44no—
287C71⋊C8—44no—
288C22×C71—22no—
289C22×C71—22no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—22no—
294C22×C71#43114yescomplemented
295C22×C71C22×C22⋊C411yescharacteristic
296C22×C71C2×#11711yescharacteristic
297C22×C71C2×#11711yescharacteristic
298C22×C71C23×C811yescharacteristic
299C22×C71C22×M1611yescharacteristic
300C22×C71C22×M1611yescharacteristic
301C22×C71C22×M1611yescharacteristic
302C2×D71—232no—
303C2×D71—22no—
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—22no—
307C2×D71—22no—
308C2×D71—22no—
309C2×D71—22no—
310C2×D71—22no—
311C2×D71—22no—
312C2×D71—22no—
313C2×D71—22no—
314C2×D71—22no—
315C2×D71C2×C22⋊C814yes—
316C2×D71#43114yescomplemented
317C4×C71—22no—
318C4×C71—22no—
319C4×C71—22no—
320C4×C71C2×C22⋊C814yes—
321C4×C71#40714yes—
322C4×C71#52514yes—
323Dic71—22no—
324Dic71—22no—
325Dic71—22no—
326Dic71—22no—
327Dic71—22no—
328Dic71C2×C22⋊C814yes—
329#20714—711nomaximal, Sylow
330C2×C71—24no—
331C2×C71#228011yescharacteristic
332C2×C71C22×C22⋊C811yescharacteristic
333C2×C71C2×#40711yescharacteristic
334C2×C71C2×#43111yescharacteristic
335C2×C71C2×#43111yescharacteristic
336C2×C71#292011yescharacteristic
337C2×C71#292011yescharacteristic
338D71—24no—
339D71—24no—
340C23×C42—711no—
341C2×#431—712no—
342#1817—712no—
343#1797—712no—
344#1797—712no—
345#1779—712no—
346C4×C22⋊C8—711no—
347C4×C22⋊C8—712no—
348C4×C22⋊C8D7111yescharacteristic, complemented
349C71#2071411yescharacteristic, complemented, Sylow
350C24×C4—711no—
351C24×C4—711no—
352C24×C4—711no—
353C22×C42—711no—
354C22×C42—711no—
355C22×C42—711no—
356C22×C42—711no—
357C22×C42—711no—
358C22×C42—711no—
359C22×C42—711no—
360C22×C42—711no—
361C22×C42—711no—
362C22×C42—711no—
363C22×C42—711no—
364C22×C42—1428no—
365C22×C42C2×D7111yescharacteristic
366#431—1428no—
367C2×C4⋊C8—714no—
368C2×C22⋊C8—712no—
369C2×C22⋊C8—714no—
370C2×C22⋊C8—714no—
371C2×C22⋊C8C2×D7112yes—
372C2×C4×C8—712no—
373C2×C4×C8C2×D7112yescomplemented
374#336—714no—
375#336—712no—
376#336C2×D7112yescomplemented
377C25—711no—
378C23×C4—711no—
379C23×C4—711no—
380C23×C4—718no—
381C23×C4—711no—
382C23×C4—711no—
383C23×C4—711no—
384C23×C4—711no—
385C23×C4—711no—
386C23×C4—711no—
387C23×C4—711no—
388C23×C4—711no—
389C23×C4—711no—
390C23×C4—711no—
391C23×C4—711no—
392C23×C4—711no—
393C23×C4—711no—
394C23×C4—1424no—
395C23×C4—1424no—
396C23×C4—1424no—
397C23×C4—1424no—
398C23×C4—1424no—
399C23×C4—1424no—
400C23×C4—1424no—
401C23×C4—1424no—
402C23×C4C4×D7111yescharacteristic
403C23×C4C4×D7111yescharacteristic
404C23×C4C22×D7111yescharacteristic
405C22×C8—714no—
406C22×C8C22×D7114yes—
407C2×C42—24no—
408C2×C42—711no—
409C2×C42—711no—
410C2×C42—711no—
411C2×C42—718no—
412C2×C42—711no—
413C2×C42—711no—
414C2×C42—711no—
415C2×C42—711no—
416C2×C42—711no—
417C2×C42—711no—
418C2×C42—711no—
419C2×C42—711no—
420C2×C42—711no—
421C2×C42—1424no—
422C2×C42—1424no—
423C2×C42—1424no—
424C2×C42—1424no—
425C2×C42—1424no—
426C2×C42—1424no—
427C2×C42—1424no—
428C2×C42—1424no—
429C2×C42—1424no—
430C2×C42—1424no—
431C2×C42C4×D7111yescharacteristic
432C2×C42C4×D7111yescharacteristic
433C2×C42C22×D7111yescharacteristic
434C2×C42C22×D7111yescharacteristic
435C4⋊C8—1428no—
436C22⋊C8—24no—
437C22⋊C8—1428no—
438C22⋊C8—1428no—
439C22⋊C8—1424no—
440C4×C8—24no—
441C4×C8—1424no—
442C24—711no—
443C24—711no—
444C24—714no—
445C24—1422no—
446C24—1422no—
447C24—1422no—
448C24—1422no—
449C24—1422no—
450C24—1422no—
451C24C2×C4×D7111yescharacteristic
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—711no—
459C22×C4—714no—
460C22×C4—714no—
461C22×C4—714no—
462C22×C4—711no—
463C22×C4—711no—
464C22×C4—711no—
465C22×C4—711no—
466C22×C4—711no—
467C22×C4—714no—
468C22×C4—714no—
469C22×C4—714no—
470C22×C4—714no—
471C22×C4—714no—
472C22×C4—714no—
473C22×C4—714no—
474C22×C4—714no—
475C22×C4—1422no—
476C22×C4—1422no—
477C22×C4—1422no—
478C22×C4—1422no—
479C22×C4—1422no—
480C22×C4—1422no—
481C22×C4—14232no—
482C22×C4—1422no—
483C22×C4—1422no—
484C22×C4—1422no—
485C22×C4—1422no—
486C22×C4—1422no—
487C22×C4—1422no—
488C22×C4—14232no—
489C22×C4—14232no—
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—1422no—
499C22×C4—1422no—
500C22×C4—1422no—
501C22×C4—1422no—
502C22×C4—1422no—
503C22×C4—1422no—
504C22×C4—1422no—
505C22×C4—1422no—
506C22×C4—1422no—
507C22×C4—1422no—
508C22×C4—1422no—
509C22×C4—1422no—
510C22×C4—1422no—
511C22×C4—1422no—
512C22×C4C8×D7114yes—
513C22×C4#1176584814yes—
514C22×C4C2×C4×D7111yescharacteristic
515C22×C4C2×C4×D7111yescharacteristic
516C22×C4C2×C4×D7111yescharacteristic
517C22×C4C2×C4×D7111yescharacteristic
518C22×C4C2×C4×D7111yescharacteristic
519C22×C4#1176586514yes—
520C22×C4C23×D7111yescharacteristic
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—24no—
524C2×C8—1424no—
525C2×C8—1424no—
526C2×C8—1424no—
527C42—22no—
528C42—22no—
529C42—22no—
530C42—714no—
531C42—714no—
532C42—714no—
533C42—1422no—
534C42—1422no—
535C42—1422no—
536C42—1422no—
537C42—1422no—
538C42—1422no—
539C42—1422no—
540C42—1422no—
541C42—1422no—
542C42D4×D7114yes—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—712no—
548C23—712no—
549C23—712no—
550C23—712no—
551C23—712no—
552C23—712no—
553C23—1428no—
554C23—1428no—
555C23—1428no—
556C23—1428no—
557C23—1428no—
558C23—1428no—
559C23—1428no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23#1455608512yes—
569C23C2×C8×D7112yes—
570C23C2×#1176584812yes—
571C23C22×C4×D7111yescharacteristic
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—28no—
579C2×C4—28no—
580C2×C4—28no—
581C2×C4—712no—
582C2×C4—712no—
583C2×C4—712no—
584C2×C4—7116no—
585C2×C4—712no—
586C2×C4—712no—
587C2×C4—712no—
588C2×C4—712no—
589C2×C4—712no—
590C2×C4—1428no—
591C2×C4—1428no—
592C2×C4—1428no—
593C2×C4—1428no—
594C2×C4—1428no—
595C2×C4—1428no—
596C2×C4—1428no—
597C2×C4—1428no—
598C2×C4—1428no—
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—1428no—
610C2×C4—1428no—
611C2×C4—1428no—
612C2×C4—1428no—
613C2×C4—1428no—
614C2×C4C22⋊C4×D7112yes—
615C2×C4C22⋊C4×D7112yes—
616C2×C4#1455608512yes—
617C2×C4C2×C8×D7112yes—
618C2×C4C2×C8×D7112yes—
619C2×C4M16×D7112yes—
620C2×C4M16×D7112yes—
621C2×C4C2×#1176584812yes—
622C2×C4C2×#1176584812yes—
623C2×C4C2×D4×D7112yes—
624C2×C4#41×D7112yes—
625C2×C4C2×#1176586512yes—
626C8—44no—
627C8—2844no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—714no—
635C22—714no—
636C22—14232no—
637C22—1422no—
638C22—1422no—
639C22—1422no—
640C22—1422no—
641C22—1422no—
642C22—1422no—
643C22—1422no—
644C22—1422no—
645C22—1422no—
646C22—1422no—
647C22—1422no—
648C22—1422no—
649C22#1798605014yescomplemented
650C22C2×C22⋊C4×D7111yescharacteristic
651C22#117×D7111yescharacteristic
652C22C2×#1455608511yescharacteristic
653C22C22×C8×D7111yescharacteristic
654C22C2×M16×D7111yescharacteristic
655C22C2×M16×D7111yescharacteristic
656C22C22×#1176584811yescharacteristic
657C4—22no—
658C4—22no—
659C4—22no—
660C4—714no—
661C4—1422no—
662C4—1422no—
663C4—1422no—
664C4—1422no—
665C4—1422no—
666C4C22⋊C8×D7114yes—
667C4#1798596114yes—
668C4#1798650814yes—
669C2—24no—
670C2—1424no—
671C2—1424no—
672C2#2259072111yescharacteristic
673C2C2×C22⋊C8×D7111yescharacteristic
674C2C2×#1798596111yescharacteristic
675C2#431×D7111yescharacteristic
676C2C2×#1798605011yescharacteristic
677C2#2259696811yescharacteristic
678C2#2259697111yescharacteristic
subgroupG/H
centerC2×C42C22×D71
commutatorC22×C71C23×C8
FrattiniC22×C4C23×D71
FittingC4×C22⋊C8×C71C2
socleC23×C71C23×C4
prime radicalC24×D71C2×C4
cosocleC22×C4×C71C24
hypercenterC4×C22⋊C8D71
hypocenterC71#20714
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C2×#17986050C2semidirect
3. #22588407C2semidirect
4. #22588319C2semidirect
5. #22588318C2semidirect
7. C4×(C2×D71)⋊C8C2semidirect
8. C4×C22⋊(C71⋊C8)C2semidirect
9. C4×C22⋊C8×C71C2semidirect
26. C2×Dic71⋊C8C22semidirect
30. C2×C4×C71⋊C8C22semidirect
31. #17985754C22semidirect
32. #17985753C22semidirect
35. C2×C4×C8×C71C22semidirect
36. #336×C71C22semidirect
49. C22×C4×D71C8semidirect
285. C4×D71C22⋊C8semidirect
294. C22×C71#431semidirect
316. C2×D71#431semidirect
348. C4×C22⋊C8D71semidirect
349. C71#20714semidirect
373. C2×C4×C8C2×D71semidirect
376. #336C2×D71semidirect
649. C22#17986050semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D712
C2×#179860502
#225884072
#225883192
#225883182
#225882492
C4×(C2×D71)⋊C82
C4×C22⋊(C71⋊C8)2
C4×C22⋊C8×C712
#2071471