Finite Group Databasebeta

← #32014382

Subgroups — #32014382

Order 18176.

1212 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986052C211yesmaximal, characteristic, complemented
2C2×#17985963C211yesmaximal, characteristic
3#22588955C212yesmaximal, complemented
4#22588948C212yesmaximal, complemented
5#22588525C212yesmaximal, complemented
6#22588408C211yesmaximal, characteristic, complemented
7#22588320C211yesmaximal, characteristic, complemented
8#22588250C211yesmaximal, characteristic
9#22588124C212yesmaximal, complemented
10#22588102C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C71C211yesmaximal, characteristic
12C22×#11765849C2212yes—
13#17986052—24no—
14C2×C4⋊(C71⋊C8)C2212yescomplemented
15C2×C4⋊(C71⋊C8)C2212yescomplemented
16#17985963—24no—
17C2×C22⋊(C71⋊C8)C2212yes—
18C2×C22⋊(C71⋊C8)C2211yescharacteristic
19C2×C22⋊(C71⋊C8)C2212yes—
20C2×C22⋊(C71⋊C8)C2211yescharacteristic
21C2×C22⋊(C71⋊C8)C2211yescharacteristic
22C2×C22⋊(C71⋊C8)C2212yes—
23C2×C22⋊(C71⋊C8)C2211yescharacteristic
24C2×#14556039C2212yescomplemented
25C2×C4×C71⋊C8C2212yescomplemented
26#17985754C2212yescomplemented
27#17985754C2212yescomplemented
28#17985754C2212yescomplemented
29#17985754C2212yescomplemented
30C24×C4×C71C2211yescharacteristic
31C22×C22⋊C4×C71C411yescharacteristic
32C22×C22⋊C4×C71C411yescharacteristic
33C22×C42×C71C2211yescharacteristic
34C22×C42×C71C2211yescharacteristic
35C4×C22⋊C4×C71C411yescharacteristic
36C4×C22⋊C4×C71C411yescharacteristic
37C4×C22⋊C4×C71C411yescharacteristic
38C4×C22⋊C4×C71C411yescharacteristic
39C4×C22⋊C4×C71C2211yescharacteristic
40C4×C22⋊C4×C71C2211yescharacteristic
41C4×C22⋊C4×C71C2211yescharacteristic
42C4×C22⋊C4×C71C2211yescharacteristic
43C2×#95×C71C411yescharacteristic
44C2×#95×C71C411yescharacteristic
45C2×#11765849—24no—
46C2×#11765849—24no—
47C2×#11765849—42no—
48C22×C71⋊C8C2312yes—
49C22×C71⋊C8C2312yes—
50C22×C71⋊C8C2312yes—
51C22×C71⋊C8C2312yes—
52C4⋊(C71⋊C8)—24no—
53C4⋊(C71⋊C8)—42no—
54C22⋊(C71⋊C8)—24no—
55C22⋊(C71⋊C8)—22no—
56C22⋊(C71⋊C8)—22no—
57C22⋊(C71⋊C8)—22no—
58C22⋊(C71⋊C8)—24no—
59C22⋊(C71⋊C8)—42no—
60C22⋊(C71⋊C8)D414yes—
61#14556039—42no—
62C4×C71⋊C8—24no—
63C25×C71C2×C411yescharacteristic
64C23×C4×C71—22no—
65C23×C4×C71—24no—
66C23×C4×C71—22no—
67C23×C4×C71—42no—
68C23×C4×C71C2×C411yescharacteristic
69C23×C4×C71C2×C411yescharacteristic
70C23×C4×C71C2×C411yescharacteristic
71C23×C4×C71C2×C411yescharacteristic
72C23×C4×C71C2×C411yescharacteristic
73C23×C4×C71C2×C411yescharacteristic
74C23×C4×C71C2×C411yescharacteristic
75C23×C4×C71C2311yescharacteristic
76C23×C4×C71C2311yescharacteristic
77C23×C4×C71C2311yescharacteristic
78C2×C22⋊C4×C71—24no—
79C2×C22⋊C4×C71—24no—
80C2×C22⋊C4×C71C2×C411yescharacteristic
81C2×C22⋊C4×C71C2×C411yescharacteristic
82C2×C22⋊C4×C71C2×C411yescharacteristic
83C2×C22⋊C4×C71C2×C411yescharacteristic
84C2×C22⋊C4×C71C2×C411yescharacteristic
85C2×C22⋊C4×C71C2×C411yescharacteristic
86C2×C22⋊C4×C71C2×C411yescharacteristic
87C2×C22⋊C4×C71C2×C411yescharacteristic
88C2×C42×C71—22no—
89C2×C42×C71—22no—
90C2×C42×C71—42no—
91C2×C42×C71C2×C411yescharacteristic
92C2×C42×C71C2×C411yescharacteristic
93C2×C42×C71C2×C411yescharacteristic
94C2×C42×C71C2×C411yescharacteristic
95C2×C42×C71C2311yescharacteristic
96C2×C42×C71C2311yescharacteristic
97C2×C42×C71C2311yescharacteristic
98C2×C42×C71C2311yescharacteristic
99#95×C71C2×C411yescharacteristic
100#95×C71C2×C411yescharacteristic
101#95×C71C2×C411yescharacteristic
102#95×C71C2×C411yescharacteristic
103#95×C71C2×C411yescharacteristic
104#95×C71C2×C411yescharacteristic
105#95×C71C2×C411yescharacteristic
106#95×C71C2×C411yescharacteristic
107#11765849—48no—
108C2×C71⋊C8—22no—
109C2×C71⋊C8—22no—
110C2×C71⋊C8—22no—
111C2×C71⋊C8—22no—
112C2×C71⋊C8—22no—
113C2×C71⋊C8—22no—
114C2×C71⋊C8—22no—
115C2×C71⋊C8—22no—
116C2×C71⋊C8—22no—
117C2×C71⋊C8—22no—
118C2×C71⋊C8—22no—
119C2×C71⋊C8C2×D414yes—
120C24×C71—22no—
121C24×C71—22no—
122C24×C71—22no—
123C24×C71—22no—
124C24×C71—22no—
125C24×C71—41no—
126C24×C71—41no—
127C24×C71C22×C411yescharacteristic
128C24×C71C22×C411yescharacteristic
129C24×C71C22×C411yescharacteristic
130C22×C4×C71—22no—
131C22×C4×C71—22no—
132C22×C4×C71—21no—
133C22×C4×C71—21no—
134C22×C4×C71—22no—
135C22×C4×C71—22no—
136C22×C4×C71—22no—
137C22×C4×C71—22no—
138C22×C4×C71—22no—
139C22×C4×C71—22no—
140C22×C4×C71—22no—
141C22×C4×C71—22no—
142C22×C4×C71—22no—
143C22×C4×C71—22no—
144C22×C4×C71—22no—
145C22×C4×C71—22no—
146C22×C4×C71—22no—
147C22×C4×C71—22no—
148C22×C4×C71—21no—
149C22×C4×C71—21no—
150C22×C4×C71—22no—
151C22×C4×C71—22no—
152C22×C4×C71—41no—
153C22×C4×C71—41no—
154C22×C4×C71—41no—
155C22×C4×C71—41no—
156C22×C4×C71—41no—
157C22×C4×C71—41no—
158C22×C4×C71—41no—
159C22×C4×C71—48no—
160C22×C4×C71—48no—
161C22×C4×C71M1614yescomplemented
162C22×C4×C71C22×C411yescharacteristic
163C22×C4×C71C22×C411yescharacteristic
164C22×C4×C71C22×C411yescharacteristic
165C22×C4×C71C22×C411yescharacteristic
166C22×C4×C71C22×C411yescharacteristic
167C22×C4×C71C22×C411yescharacteristic
168C22×C4×C71C22×C411yescharacteristic
169C22×C4×C71C22×C411yescharacteristic
170C22×C4×C71C22×C411yescharacteristic
171C22×C4×C71C22×C411yescharacteristic
172C22×C4×C71C22×C411yescharacteristic
173C22×C4×C71C2×D412yes—
174C22×C4×C71#4112yes—
175C22×C4×C71#4114yes—
176C22×C4×C71C2411yescharacteristic
177C22⋊C4×C71—22no—
178C22⋊C4×C71—22no—
179C22⋊C4×C71—22no—
180C22⋊C4×C71—22no—
181C22⋊C4×C71—22no—
182C22⋊C4×C71—22no—
183C22⋊C4×C71—22no—
184C22⋊C4×C71M1614yescomplemented
185C42×C71—22no—
186C42×C71—22no—
187C42×C71—21no—
188C42×C71—21no—
189C42×C71—21no—
190C42×C71—21no—
191C42×C71—22no—
192C42×C71—22no—
193C42×C71—41no—
194C42×C71—41no—
195C23×C71—21no—
196C23×C71—21no—
197C23×C71—21no—
198C23×C71—21no—
199C23×C71—28no—
200C23×C71—21no—
201C23×C71—21no—
202C23×C71—21no—
203C23×C71—21no—
204C23×C71—21no—
205C23×C71—21no—
206C23×C71—21no—
207C23×C71—21no—
208C23×C71—21no—
209C23×C71—21no—
210C23×C71—21no—
211C23×C71—21no—
212C23×C71—44no—
213C23×C71—44no—
214C23×C71—44no—
215C23×C71—44no—
216C23×C71—44no—
217C23×C71—44no—
218C23×C71#11712yes—
219C23×C71C4×D412yes—
220C23×C71C2×M1612yes—
221C23×C71C2×M1612yes—
222C23×C71#13112yes—
223C23×C71C23×C411yescharacteristic
224C2×C4×C71—21no—
225C2×C4×C71—21no—
226C2×C4×C71—21no—
227C2×C4×C71—21no—
228C2×C4×C71—21no—
229C2×C4×C71—21no—
230C2×C4×C71—21no—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—28no—
237C2×C4×C71—24no—
238C2×C4×C71—24no—
239C2×C4×C71—24no—
240C2×C4×C71—24no—
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×C71—21no—
249C2×C4×C71—21no—
250C2×C4×C71—21no—
251C2×C4×C71—21no—
252C2×C4×C71—21no—
253C2×C4×C71—21no—
254C2×C4×C71—21no—
255C2×C4×C71—21no—
256C2×C4×C71—44no—
257C2×C4×C71—44no—
258C2×C4×C71—44no—
259C2×C4×C71—44no—
260C2×C4×C71—44no—
261C2×C4×C71—44no—
262C2×C4×C71—42no—
263C2×C4×C71—42no—
264C2×C4×C71#11712yes—
265C2×C4×C71C4×D412yes—
266C2×C4×C71C2×M1612yes—
267C2×C4×C71C2×M1612yes—
268C2×C4×C71C2×M1612yes—
269C2×C4×C71C2×M1612yes—
270C2×C4×C71C22×D411yescharacteristic
271C2×C4×C71C2×#4111yescharacteristic
272C2×C4×C71C2×#4112yes—
273C2×C4×C71H(5,𝔽2)12yes—
274C71⋊C8—24no—
275C71⋊C8—42no—
276C71⋊C8—42no—
277C71⋊C8—42no—
278C22×C71—22no—
279C22×C71—22no—
280C22×C71—22no—
281C22×C71—22no—
282C22×C71—22no—
283C22×C71—22no—
284C22×C71—22no—
285C22×C71—22no—
286C22×C71—22no—
287C22×C71—22no—
288C22×C71—22no—
289C22×C71—22no—
290C22×C71—416no—
291C22×C71—41no—
292C22×C71—41no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71—41no—
299C22×C71#43514yes—
300C22×C71C2×#11711yescharacteristic
301C22×C71C2×C4×D411yescharacteristic
302C22×C71#51811yescharacteristic
303C22×C71C22×M1611yescharacteristic
304C22×C71C22×M1611yescharacteristic
305C22×C71C2×#13111yescharacteristic
306C22×C71#56811yescharacteristic
307C4×C71—22no—
308C4×C71—22no—
309C4×C71—22no—
310C4×C71—22no—
311C4×C71—22no—
312C4×C71—22no—
313C4×C71—41no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71—41no—
317C4×C71—41no—
318C4×C71#54612yes—
319C4×C71#55112yes—
320#22553—711nomaximal, Sylow
321C2×C71—24no—
322C2×C71—42no—
323C2×C71—42no—
324C2×C71#234211yescharacteristic
325C2×C71#292011yescharacteristic
326C2×C71#292411yescharacteristic
327C2×C71C2×#43511yescharacteristic
328C2×C71D4×M1611yescharacteristic
329C2×C71#297411yescharacteristic
330C2×C71#297511yescharacteristic
331C2×#431—711no—
332C2×#407—711no—
333C2×C4×C22⋊C4D7111yescharacteristic
334#1924—712no—
335#1923—712no—
336#1851—712no—
337#1817—711no—
338#1797—711no—
339#1779—711no—
340#1753—712no—
341#1749—711no—
342C71#2255311yescharacteristic, complemented, Sylow
343C24×C4C2×D7111yescharacteristic
344C22×M16—712no—
345C22×C22⋊C4Dic7111yescharacteristic
346C22×C22⋊C4Dic7111yescharacteristic
347C22×C42C2×D7111yescharacteristic
348C22×C42C2×D7111yescharacteristic
349#431—1424no—
350C2×C4⋊C8—712no—
351C2×C4⋊C8—712no—
352#407—1424no—
353C2×C22⋊C8—712no—
354C2×C22⋊C8—711no—
355C2×C22⋊C8—711no—
356C2×C22⋊C8—711no—
357C2×C22⋊C8—711no—
358C2×C22⋊C8—712no—
359C2×C22⋊C8—712no—
360C2×#97—712no—
361C2×C4×C8—712no—
362C4×C22⋊C4Dic7111yescharacteristic
363C4×C22⋊C4Dic7111yescharacteristic
364C4×C22⋊C4Dic7111yescharacteristic
365C4×C22⋊C4Dic7111yescharacteristic
366C4×C22⋊C4C2×D7111yescharacteristic
367C4×C22⋊C4C2×D7111yescharacteristic
368C4×C22⋊C4C2×D7111yescharacteristic
369C4×C22⋊C4C2×D7111yescharacteristic
370C2×#95Dic7111yescharacteristic
371C2×#95Dic7111yescharacteristic
372#336—712no—
373#336—712no—
374#336—712no—
375#336—712no—
376C25C2×Dic7111yescharacteristic
377C23×C4—22no—
378C23×C4—22no—
379C23×C4—24no—
380C23×C4—42no—
381C23×C4C2×Dic7111yescharacteristic
382C23×C4C2×Dic7111yescharacteristic
383C23×C4C2×Dic7111yescharacteristic
384C23×C4C2×Dic7111yescharacteristic
385C23×C4C2×Dic7111yescharacteristic
386C23×C4C2×Dic7111yescharacteristic
387C23×C4C2×Dic7111yescharacteristic
388C23×C4C22×D7111yescharacteristic
389C23×C4C22×D7111yescharacteristic
390C23×C4C22×D7111yescharacteristic
391C2×M16—2842no—
392C2×M16—1424no—
393C2×M16—1424no—
394C22×C8—712no—
395C22×C8—712no—
396C22×C8—712no—
397C22×C8—712no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4C2×Dic7111yescharacteristic
401C2×C22⋊C4C2×Dic7111yescharacteristic
402C2×C22⋊C4C2×Dic7111yescharacteristic
403C2×C22⋊C4C2×Dic7111yescharacteristic
404C2×C22⋊C4C2×Dic7111yescharacteristic
405C2×C22⋊C4C2×Dic7111yescharacteristic
406C2×C22⋊C4C2×Dic7111yescharacteristic
407C2×C22⋊C4C2×Dic7111yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—42no—
411C2×C42C2×Dic7111yescharacteristic
412C2×C42C2×Dic7111yescharacteristic
413C2×C42C2×Dic7111yescharacteristic
414C2×C42C2×Dic7111yescharacteristic
415C2×C42C22×D7111yescharacteristic
416C2×C42C22×D7111yescharacteristic
417C2×C42C22×D7111yescharacteristic
418C2×C42C22×D7111yescharacteristic
419C4⋊C8—2842no—
420C4⋊C8—1424no—
421C22⋊C8—2842no—
422C22⋊C8—714no—
423C22⋊C8—1424no—
424C22⋊C8—1422no—
425C22⋊C8—1422no—
426C22⋊C8—1422no—
427C22⋊C8—1424no—
428#97—2842no—
429C4×C8—1424no—
430#95C2×Dic7111yescharacteristic
431#95C2×Dic7111yescharacteristic
432#95C2×Dic7111yescharacteristic
433#95C2×Dic7111yescharacteristic
434#95C2×Dic7111yescharacteristic
435#95C2×Dic7111yescharacteristic
436#95C2×Dic7111yescharacteristic
437#95C2×Dic7111yescharacteristic
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—41no—
444C24—41no—
445C24C22×Dic7111yescharacteristic
446C24C22×Dic7111yescharacteristic
447C24C22×Dic7111yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4#1176584914yescomplemented
480C22×C4C22×Dic7111yescharacteristic
481C22×C4C22×Dic7111yescharacteristic
482C22×C4C22×Dic7111yescharacteristic
483C22×C4C22×Dic7111yescharacteristic
484C22×C4C22×Dic7111yescharacteristic
485C22×C4C22×Dic7111yescharacteristic
486C22×C4C22×Dic7111yescharacteristic
487C22×C4C22×Dic7111yescharacteristic
488C22×C4C22×Dic7111yescharacteristic
489C22×C4C22×Dic7111yescharacteristic
490C22×C4C22×Dic7111yescharacteristic
491C22×C4D4×D7112yes—
492C22×C4#1176586412yes—
493C22×C4#1176586514yes—
494C22×C4C23×D7111yescharacteristic
495M16—2848no—
496C2×C8—714no—
497C2×C8—1422no—
498C2×C8—1422no—
499C2×C8—1422no—
500C2×C8—1422no—
501C2×C8—1422no—
502C2×C8—1422no—
503C2×C8—1422no—
504C2×C8—1422no—
505C2×C8—1422no—
506C2×C8—1422no—
507C2×C8—1422no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4#1176584914yescomplemented
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—22no—
521C42—22no—
522C42—22no—
523C42—22no—
524C42—41no—
525C42—41no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—28no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23#1455608712yes—
550C23D4×Dic7112yes—
551C23C2×#1176584912yes—
552C23C2×#1176584912yes—
553C23#1455613512yes—
554C23C23×Dic7111yescharacteristic
555C2×C4—28no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—21no—
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—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4#1455608712yes—
596C2×C4D4×Dic7112yes—
597C2×C4C2×#1176584912yes—
598C2×C4C2×#1176584912yes—
599C2×C4C2×#1176584912yes—
600C2×C4C2×#1176584912yes—
601C2×C4C2×D4×D7111yescharacteristic
602C2×C4C2×#1176586411yescharacteristic
603C2×C4C2×#1176586512yes—
604C2×C4#1455617312yes—
605C8—2842no—
606C8—2842no—
607C8—2842no—
608C8—1424no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—416no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22#1798607114yes—
631C22C2×#1455608711yescharacteristic
632C22C2×D4×Dic7111yescharacteristic
633C22#1798647411yescharacteristic
634C22C22×#1176584911yescharacteristic
635C22C22×#1176584911yescharacteristic
636C22C2×#1455613511yescharacteristic
637C22#1798676611yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#1798663912yes—
650C4#1798667512yes—
651C2—24no—
652C2—42no—
653C2—42no—
654C2#2259118911yescharacteristic
655C2#2259697311yescharacteristic
656C2#2259699811yescharacteristic
657C2C2×#1798607111yescharacteristic
658C2D4×#1176584911yescharacteristic
659C2#2259737511yescharacteristic
660C2#2259738111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC2×C4×C22⋊C4×C71C2
prime radicalC25×C71C2×C4
cosocleC22×C4×C71C24
hypercenterC2×C4×C22⋊C4D71
hypocenterC71#22553
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#17986052C2semidirect
3. #22588955C2semidirect
4. #22588948C2semidirect
5. #22588525C2semidirect
6. #22588408C2semidirect
7. #22588320C2semidirect
9. #22588124C2semidirect
10. #22588102C2semidirect
14. C2×C4⋊(C71⋊C8)C22semidirect
15. C2×C4⋊(C71⋊C8)C22semidirect
24. C2×#14556039C22semidirect
25. C2×C4×C71⋊C8C22semidirect
26. #17985754C22semidirect
27. #17985754C22semidirect
28. #17985754C22semidirect
29. #17985754C22semidirect
161. C22×C4×C71M16semidirect
184. C22⋊C4×C71M16semidirect
342. C71#22553semidirect
479. C22×C4#11765849semidirect
515. C22⋊C4#11765849semidirect

Maximal subgroups

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

subgroupindex
C2×#179860522
C2×#179859632
#225889552
#225889482
#225885252
#225884082
#225883202
#225882502
#225881242
#225881022
C2×C4×C22⋊C4×C712
#2255371