Finite Group Databasebeta

← #25113527

Subgroups — #25113527

Order 11008.

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×#14582952C211yesmaximal, characteristic, complemented
2C2×#14582863C211yesmaximal, characteristic
3#19135210C212yesmaximal, complemented
4#19135203C212yesmaximal, complemented
5#19134780C212yesmaximal, complemented
6#19134663C211yesmaximal, characteristic, complemented
7#19134575C211yesmaximal, characteristic, complemented
8#19134505C211yesmaximal, characteristic
9#19134379C212yesmaximal, complemented
10#19134357C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C43C211yesmaximal, characteristic
12C22×#10621877C2212yes—
13#14582952—24no—
14C2×C4⋊(C43⋊C8)C2212yescomplemented
15C2×C4⋊(C43⋊C8)C2212yescomplemented
16#14582863—24no—
17C2×C22⋊(C43⋊C8)C2211yescharacteristic
18C2×C22⋊(C43⋊C8)C2212yes—
19C2×C22⋊(C43⋊C8)C2211yescharacteristic
20C2×C22⋊(C43⋊C8)C2211yescharacteristic
21C2×C22⋊(C43⋊C8)C2212yes—
22C2×C22⋊(C43⋊C8)C2212yes—
23C2×C22⋊(C43⋊C8)C2211yescharacteristic
24C2×#13063236C2212yescomplemented
25C2×C4×C43⋊C8C2212yescomplemented
26#14582654C2212yescomplemented
27#14582654C2212yescomplemented
28#14582654C2212yescomplemented
29#14582654C2212yescomplemented
30C24×C4×C43C2211yescharacteristic
31C22×C22⋊C4×C43C411yescharacteristic
32C22×C22⋊C4×C43C411yescharacteristic
33C22×C42×C43C2211yescharacteristic
34C22×C42×C43C2211yescharacteristic
35C4×C22⋊C4×C43C411yescharacteristic
36C4×C22⋊C4×C43C411yescharacteristic
37C4×C22⋊C4×C43C411yescharacteristic
38C4×C22⋊C4×C43C411yescharacteristic
39C4×C22⋊C4×C43C2211yescharacteristic
40C4×C22⋊C4×C43C2211yescharacteristic
41C4×C22⋊C4×C43C2211yescharacteristic
42C4×C22⋊C4×C43C2211yescharacteristic
43C2×#95×C43C411yescharacteristic
44C2×#95×C43C411yescharacteristic
45C2×#10621877—24no—
46C2×#10621877—24no—
47C2×#10621877—42no—
48C22×C43⋊C8C2312yes—
49C22×C43⋊C8C2312yes—
50C22×C43⋊C8C2312yes—
51C22×C43⋊C8C2312yes—
52C4⋊(C43⋊C8)—24no—
53C4⋊(C43⋊C8)—42no—
54C22⋊(C43⋊C8)—22no—
55C22⋊(C43⋊C8)—22no—
56C22⋊(C43⋊C8)—24no—
57C22⋊(C43⋊C8)—22no—
58C22⋊(C43⋊C8)—24no—
59C22⋊(C43⋊C8)—42no—
60C22⋊(C43⋊C8)D414yes—
61#13063236—42no—
62C4×C43⋊C8—24no—
63C25×C43C2×C411yescharacteristic
64C23×C4×C43—22no—
65C23×C4×C43—24no—
66C23×C4×C43—22no—
67C23×C4×C43—42no—
68C23×C4×C43C2×C411yescharacteristic
69C23×C4×C43C2×C411yescharacteristic
70C23×C4×C43C2×C411yescharacteristic
71C23×C4×C43C2×C411yescharacteristic
72C23×C4×C43C2×C411yescharacteristic
73C23×C4×C43C2×C411yescharacteristic
74C23×C4×C43C2×C411yescharacteristic
75C23×C4×C43C2311yescharacteristic
76C23×C4×C43C2311yescharacteristic
77C23×C4×C43C2311yescharacteristic
78C2×C22⋊C4×C43—24no—
79C2×C22⋊C4×C43—24no—
80C2×C22⋊C4×C43C2×C411yescharacteristic
81C2×C22⋊C4×C43C2×C411yescharacteristic
82C2×C22⋊C4×C43C2×C411yescharacteristic
83C2×C22⋊C4×C43C2×C411yescharacteristic
84C2×C22⋊C4×C43C2×C411yescharacteristic
85C2×C22⋊C4×C43C2×C411yescharacteristic
86C2×C22⋊C4×C43C2×C411yescharacteristic
87C2×C22⋊C4×C43C2×C411yescharacteristic
88C2×C42×C43—22no—
89C2×C42×C43—22no—
90C2×C42×C43—42no—
91C2×C42×C43C2×C411yescharacteristic
92C2×C42×C43C2×C411yescharacteristic
93C2×C42×C43C2×C411yescharacteristic
94C2×C42×C43C2×C411yescharacteristic
95C2×C42×C43C2311yescharacteristic
96C2×C42×C43C2311yescharacteristic
97C2×C42×C43C2311yescharacteristic
98C2×C42×C43C2311yescharacteristic
99#95×C43C2×C411yescharacteristic
100#95×C43C2×C411yescharacteristic
101#95×C43C2×C411yescharacteristic
102#95×C43C2×C411yescharacteristic
103#95×C43C2×C411yescharacteristic
104#95×C43C2×C411yescharacteristic
105#95×C43C2×C411yescharacteristic
106#95×C43C2×C411yescharacteristic
107C24×C43—22no—
108C24×C43—22no—
109C24×C43—22no—
110C24×C43—22no—
111C24×C43—22no—
112C24×C43—41no—
113C24×C43—41no—
114C24×C43C22×C411yescharacteristic
115C24×C43C22×C411yescharacteristic
116C24×C43C22×C411yescharacteristic
117C22×C4×C43—21no—
118C22×C4×C43—22no—
119C22×C4×C43—21no—
120C22×C4×C43—22no—
121C22×C4×C43—22no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—22no—
126C22×C4×C43—22no—
127C22×C4×C43—22no—
128C22×C4×C43—21no—
129C22×C4×C43—22no—
130C22×C4×C43—21no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—41no—
140C22×C4×C43—41no—
141C22×C4×C43—41no—
142C22×C4×C43—41no—
143C22×C4×C43—41no—
144C22×C4×C43—41no—
145C22×C4×C43—41no—
146C22×C4×C43—48no—
147C22×C4×C43—48no—
148C22×C4×C43M1614yescomplemented
149C22×C4×C43C22×C411yescharacteristic
150C22×C4×C43C22×C411yescharacteristic
151C22×C4×C43C22×C411yescharacteristic
152C22×C4×C43C22×C411yescharacteristic
153C22×C4×C43C22×C411yescharacteristic
154C22×C4×C43C22×C411yescharacteristic
155C22×C4×C43C22×C411yescharacteristic
156C22×C4×C43C22×C411yescharacteristic
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C22×C411yescharacteristic
160C22×C4×C43C2×D412yes—
161C22×C4×C43#4114yes—
162C22×C4×C43#4112yes—
163C22×C4×C43C2411yescharacteristic
164C22⋊C4×C43—22no—
165C22⋊C4×C43—22no—
166C22⋊C4×C43—22no—
167C22⋊C4×C43—22no—
168C22⋊C4×C43—22no—
169C22⋊C4×C43—22no—
170C22⋊C4×C43—22no—
171C22⋊C4×C43M1614yescomplemented
172C42×C43—22no—
173C42×C43—22no—
174C42×C43—21no—
175C42×C43—21no—
176C42×C43—21no—
177C42×C43—21no—
178C42×C43—22no—
179C42×C43—22no—
180C42×C43—41no—
181C42×C43—41no—
182#10621877—48no—
183C2×C43⋊C8—22no—
184C2×C43⋊C8—22no—
185C2×C43⋊C8—22no—
186C2×C43⋊C8—22no—
187C2×C43⋊C8—22no—
188C2×C43⋊C8—22no—
189C2×C43⋊C8—22no—
190C2×C43⋊C8—22no—
191C2×C43⋊C8—22no—
192C2×C43⋊C8—22no—
193C2×C43⋊C8—22no—
194C2×C43⋊C8C2×D414yes—
195C23×C43—21no—
196C23×C43—21no—
197C23×C43—21no—
198C23×C43—21no—
199C23×C43—28no—
200C23×C43—21no—
201C23×C43—21no—
202C23×C43—21no—
203C23×C43—21no—
204C23×C43—21no—
205C23×C43—21no—
206C23×C43—21no—
207C23×C43—21no—
208C23×C43—21no—
209C23×C43—21no—
210C23×C43—21no—
211C23×C43—21no—
212C23×C43—44no—
213C23×C43—44no—
214C23×C43—44no—
215C23×C43—44no—
216C23×C43—44no—
217C23×C43—44no—
218C23×C43#11712yes—
219C23×C43C4×D412yes—
220C23×C43C2×M1612yes—
221C23×C43C2×M1612yes—
222C23×C43#13112yes—
223C23×C43C23×C411yescharacteristic
224C2×C4×C43—21no—
225C2×C4×C43—21no—
226C2×C4×C43—21no—
227C2×C4×C43—21no—
228C2×C4×C43—21no—
229C2×C4×C43—21no—
230C2×C4×C43—21no—
231C2×C4×C43—21no—
232C2×C4×C43—21no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—28no—
237C2×C4×C43—24no—
238C2×C4×C43—24no—
239C2×C4×C43—24no—
240C2×C4×C43—24no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—44no—
257C2×C4×C43—44no—
258C2×C4×C43—44no—
259C2×C4×C43—44no—
260C2×C4×C43—44no—
261C2×C4×C43—44no—
262C2×C4×C43—42no—
263C2×C4×C43—42no—
264C2×C4×C43#11712yes—
265C2×C4×C43C4×D412yes—
266C2×C4×C43C2×M1612yes—
267C2×C4×C43C2×M1612yes—
268C2×C4×C43C2×M1612yes—
269C2×C4×C43C2×M1612yes—
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4112yes—
273C2×C4×C43H(5,𝔽2)12yes—
274C43⋊C8—24no—
275C43⋊C8—42no—
276C43⋊C8—42no—
277C43⋊C8—42no—
278#22553—431nomaximal, Sylow
279C22×C43—22no—
280C22×C43—22no—
281C22×C43—22no—
282C22×C43—22no—
283C22×C43—22no—
284C22×C43—22no—
285C22×C43—22no—
286C22×C43—22no—
287C22×C43—22no—
288C22×C43—22no—
289C22×C43—22no—
290C22×C43—22no—
291C22×C43—416no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—41no—
298C22×C43—41no—
299C22×C43—41no—
300C22×C43#43514yes—
301C22×C43C2×#11711yescharacteristic
302C22×C43C2×C4×D411yescharacteristic
303C22×C43#51811yescharacteristic
304C22×C43C22×M1611yescharacteristic
305C22×C43C22×M1611yescharacteristic
306C22×C43C2×#13111yescharacteristic
307C22×C43#56811yescharacteristic
308C4×C43—22no—
309C4×C43—22no—
310C4×C43—22no—
311C4×C43—22no—
312C4×C43—22no—
313C4×C43—22no—
314C4×C43—41no—
315C4×C43—41no—
316C4×C43—41no—
317C4×C43—41no—
318C4×C43—41no—
319C4×C43#54612yes—
320C4×C43#55112yes—
321C2×#431—431no—
322C2×#407—431no—
323C2×C4×C22⋊C4D4311yescharacteristic
324#1924—432no—
325#1923—432no—
326#1851—432no—
327#1817—431no—
328#1797—431no—
329#1779—431no—
330#1753—432no—
331#1749—431no—
332C2×C43—24no—
333C2×C43—42no—
334C2×C43—42no—
335C2×C43#234211yescharacteristic
336C2×C43#292011yescharacteristic
337C2×C43#292411yescharacteristic
338C2×C43C2×#43511yescharacteristic
339C2×C43D4×M1611yescharacteristic
340C2×C43#297411yescharacteristic
341C2×C43#297511yescharacteristic
342C24×C4C2×D4311yescharacteristic
343C22×M16—432no—
344C22×C22⋊C4Dic4311yescharacteristic
345C22×C22⋊C4Dic4311yescharacteristic
346C22×C42C2×D4311yescharacteristic
347C22×C42C2×D4311yescharacteristic
348#431—864no—
349C2×C4⋊C8—432no—
350C2×C4⋊C8—432no—
351#407—864no—
352C2×C22⋊C8—431no—
353C2×C22⋊C8—431no—
354C2×C22⋊C8—431no—
355C2×C22⋊C8—431no—
356C2×C22⋊C8—432no—
357C2×C22⋊C8—432no—
358C2×C22⋊C8—432no—
359C2×#97—432no—
360C2×C4×C8—432no—
361C4×C22⋊C4Dic4311yescharacteristic
362C4×C22⋊C4Dic4311yescharacteristic
363C4×C22⋊C4Dic4311yescharacteristic
364C4×C22⋊C4Dic4311yescharacteristic
365C4×C22⋊C4C2×D4311yescharacteristic
366C4×C22⋊C4C2×D4311yescharacteristic
367C4×C22⋊C4C2×D4311yescharacteristic
368C4×C22⋊C4C2×D4311yescharacteristic
369C2×#95Dic4311yescharacteristic
370C2×#95Dic4311yescharacteristic
371#336—432no—
372#336—432no—
373#336—432no—
374#336—432no—
375C43#2255311yescharacteristic, complemented, Sylow
376C25C2×Dic4311yescharacteristic
377C23×C4—24no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—42no—
381C23×C4C2×Dic4311yescharacteristic
382C23×C4C2×Dic4311yescharacteristic
383C23×C4C2×Dic4311yescharacteristic
384C23×C4C2×Dic4311yescharacteristic
385C23×C4C2×Dic4311yescharacteristic
386C23×C4C2×Dic4311yescharacteristic
387C23×C4C2×Dic4311yescharacteristic
388C23×C4C22×D4311yescharacteristic
389C23×C4C22×D4311yescharacteristic
390C23×C4C22×D4311yescharacteristic
391C2×M16—864no—
392C2×M16—864no—
393C2×M16—1722no—
394C22×C8—432no—
395C22×C8—432no—
396C22×C8—432no—
397C22×C8—432no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4C2×Dic4311yescharacteristic
401C2×C22⋊C4C2×Dic4311yescharacteristic
402C2×C22⋊C4C2×Dic4311yescharacteristic
403C2×C22⋊C4C2×Dic4311yescharacteristic
404C2×C22⋊C4C2×Dic4311yescharacteristic
405C2×C22⋊C4C2×Dic4311yescharacteristic
406C2×C22⋊C4C2×Dic4311yescharacteristic
407C2×C22⋊C4C2×Dic4311yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—42no—
411C2×C42C2×Dic4311yescharacteristic
412C2×C42C2×Dic4311yescharacteristic
413C2×C42C2×Dic4311yescharacteristic
414C2×C42C2×Dic4311yescharacteristic
415C2×C42C22×D4311yescharacteristic
416C2×C42C22×D4311yescharacteristic
417C2×C42C22×D4311yescharacteristic
418C2×C42C22×D4311yescharacteristic
419C4⋊C8—864no—
420C4⋊C8—1722no—
421C22⋊C8—434no—
422C22⋊C8—864no—
423C22⋊C8—864no—
424C22⋊C8—862no—
425C22⋊C8—862no—
426C22⋊C8—862no—
427C22⋊C8—1722no—
428#97—1722no—
429C4×C8—864no—
430#95C2×Dic4311yescharacteristic
431#95C2×Dic4311yescharacteristic
432#95C2×Dic4311yescharacteristic
433#95C2×Dic4311yescharacteristic
434#95C2×Dic4311yescharacteristic
435#95C2×Dic4311yescharacteristic
436#95C2×Dic4311yescharacteristic
437#95C2×Dic4311yescharacteristic
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—41no—
444C24—41no—
445C24C22×Dic4311yescharacteristic
446C24C22×Dic4311yescharacteristic
447C24C22×Dic4311yescharacteristic
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—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
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#1062187714yescomplemented
480C22×C4#1062189814yes—
481C22×C4D4×D4312yes—
482C22×C4#1062190012yes—
483C22×C4C22×Dic4311yescharacteristic
484C22×C4C22×Dic4311yescharacteristic
485C22×C4C22×Dic4311yescharacteristic
486C22×C4C22×Dic4311yescharacteristic
487C22×C4C22×Dic4311yescharacteristic
488C22×C4C22×Dic4311yescharacteristic
489C22×C4C22×Dic4311yescharacteristic
490C22×C4C22×Dic4311yescharacteristic
491C22×C4C22×Dic4311yescharacteristic
492C22×C4C22×Dic4311yescharacteristic
493C22×C4C22×Dic4311yescharacteristic
494C22×C4C23×D4311yescharacteristic
495M16—1728no—
496C2×C8—434no—
497C2×C8—862no—
498C2×C8—862no—
499C2×C8—862no—
500C2×C8—862no—
501C2×C8—862no—
502C2×C8—862no—
503C2×C8—862no—
504C2×C8—862no—
505C2×C8—862no—
506C2×C8—862no—
507C2×C8—862no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4#1062187714yescomplemented
516C42—22no—
517C42—22no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
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#1306328412yes—
550C23D4×Dic4312yes—
551C23C2×#1062187712yes—
552C23C2×#1062187712yes—
553C23#1306333212yes—
554C23C23×Dic4311yescharacteristic
555C2×C4—21no—
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—28no—
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#1306328412yes—
596C2×C4D4×Dic4312yes—
597C2×C4C2×#1062187712yes—
598C2×C4C2×#1062187712yes—
599C2×C4C2×#1062187712yes—
600C2×C4C2×#1062187712yes—
601C2×C4C2×D4×D4311yescharacteristic
602C2×C4C2×#1062190011yescharacteristic
603C2×C4C2×#1062189812yes—
604C2×C4#1306337012yes—
605C8—864no—
606C8—1722no—
607C8—1722no—
608C8—1722no—
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#1458297114yes—
631C22C2×#1306328411yescharacteristic
632C22C2×D4×Dic4311yescharacteristic
633C22#1458337411yescharacteristic
634C22C22×#1062187711yescharacteristic
635C22C22×#1062187711yescharacteristic
636C22C2×#1306333211yescharacteristic
637C22#1458366611yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#1458353912yes—
650C4#1458357512yes—
651C2—24no—
652C2—42no—
653C2—42no—
654C2#1913744411yescharacteristic
655C2#1914322811yescharacteristic
656C2#1914325311yescharacteristic
657C2C2×#1458297111yescharacteristic
658C2D4×#1062187711yescharacteristic
659C2#1914363011yescharacteristic
660C2#1914363611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC2×C4×C22⋊C4×C43C2
prime radicalC25×C43C2×C4
cosocleC22×C4×C43C24
hypercenterC2×C4×C22⋊C4D43
hypocenterC43#22553
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#14582952C2semidirect
3. #19135210C2semidirect
4. #19135203C2semidirect
5. #19134780C2semidirect
6. #19134663C2semidirect
7. #19134575C2semidirect
9. #19134379C2semidirect
10. #19134357C2semidirect
14. C2×C4⋊(C43⋊C8)C22semidirect
15. C2×C4⋊(C43⋊C8)C22semidirect
24. C2×#13063236C22semidirect
25. C2×C4×C43⋊C8C22semidirect
26. #14582654C22semidirect
27. #14582654C22semidirect
28. #14582654C22semidirect
29. #14582654C22semidirect
148. C22×C4×C43M16semidirect
171. C22⋊C4×C43M16semidirect
375. C43#22553semidirect
479. C22×C4#10621877semidirect
515. C22⋊C4#10621877semidirect

Maximal subgroups

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

subgroupindex
C2×#145829522
C2×#145828632
#191352102
#191352032
#191347802
#191346632
#191345752
#191345052
#191343792
#191343572
C2×C4×C22⋊C4×C432
#2255343