Finite Group Databasebeta

← C4×Q8×C22⋊D89 #36714290

Subgroups — C4×Q8×C22⋊D89 #36714290

Order 22784.

3148 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×C22⋊D89C211yesmaximal, characteristic
2C2×C4×Q8×D89C211yesmaximal, characteristic, complemented
3#26023306C213yesmaximal, complemented
4#26023257C213yesmaximal, complemented
5#26023253C213yesmaximal, complemented
6Q8×#13083553C211yesmaximal, characteristic, complemented
7C4⋊C4×C22⋊D89C213yesmaximal
8Q8×C22⋊Dic89C211yesmaximal, characteristic, complemented
9Q8×#13083551C211yesmaximal, characteristic, complemented
10C4×#15668010C213yesmaximal, complemented
11C4×#15667991C213yesmaximal, complemented
12C4×#15667988C213yesmaximal, complemented
13C4×Q8×Dic89C211yesmaximal, characteristic, complemented
14C42×C22⋊D89C213yesmaximal
15C22×C4×Q8×C89C211yesmaximal, characteristic, complemented
16C22×Q8×D89C2211yescharacteristic
17Q8×C22⋊D89C4116yesdirect product factor
18C2×#15668010C2213yes—
19C2×#15667991C2213yes—
20C2×#15667988C2213yes—
21C2×Q8×Dic89C2211yescharacteristic
22C2×Q8×Dic89C2211yescharacteristic
23C2×Q8×Dic89C2211yescharacteristic
24C2×C4×Dic178C2213yes—
25C2×#15667977C2213yes—
26C4×Q8×D89—28no—
27C2×C4×C22⋊D89C2213yes—
28C2×C4×C22⋊D89C2213yes—
29C2×C4×C22⋊D89C2211yescharacteristic
30C2×C4⋊C4×D89C2213yes—
31C2×C42×D89C2213yes—
32#19151505C2213yes—
33#19151505C2213yes—
34#19151504C2213yes—
35#19151503C2213yes—
36#19151496C2213yes—
37#19151494C2213yes—
38#19151493C2216yes—
39#19151493C2216yes—
40#19151482C2216yes—
41#19151479C2216yes—
42#19151471C2216yes—
43#19151469C2216yes—
44#19151467C2213yes—
45#19151458C2213yes—
46#19151455C2213yes—
47C4⋊C4×Dic89C2213yes—
48C4⋊C4×Dic89C2213yes—
49C4×#13083553C2216yes—
50C4×#13083553C2213yes—
51C4×#13083553C2213yes—
52C4×#13083553C2213yes—
53C4×C4⋊Dic89C2213yes—
54C4×#13083551C2213yes—
55C4×#13083551C2213yes—
56C4×#13083551C2213yes—
57C4×C22⋊Dic89C2213yes—
58C4×C22⋊Dic89C2213yes—
59C4×C22⋊Dic89C2213yes—
60C42×Dic89C2213yes—
61C23×Q8×C89C2211yescharacteristic
62C2×C4×Q8×C89—28no—
63C2×C4×Q8×C89C2213yes—
64C2×C4×Q8×C89C2213yes—
65C2×C4×Q8×C89C2211yescharacteristic
66C2×C4×Q8×C89C2211yescharacteristic
67C22×C4⋊C4×C89C2213yes—
68C22×C42×C89C2213yes—
69C22×Dic178C2313yes—
70C2×Q8×D89—24no—
71C2×Q8×D89—24no—
72C2×Q8×D89C2×C418yescomplemented
73C22×C22⋊D89C2311yescharacteristic
74C22×C4×D89C2313yes—
75C22×C4×D89C2313yes—
76C22×C4×D89C2311yescharacteristic
77#15668010C2×C4124yescomplemented
78#15667991C2×C4124yescomplemented
79#15667988C2×C4124yescomplemented
80Q8×Dic89—24no—
81Q8×Dic89—24no—
82Q8×Dic89C2×C418yescomplemented
83C4×Dic178—212no—
84#15667977—212no—
85C4×C22⋊D89—212no—
86C4×C22⋊D89C2×C4124yes—
87C4×C22⋊D89Q818yesdirect product factor
88C2×C4⋊Dic89C2313yes—
89C2×C4⋊Dic89C2313yes—
90C2×C4⋊Dic89C2313yes—
91C2×#13083553C2313yes—
92C2×#13083553C2316yes—
93C2×#13083553C2316yes—
94C2×#13083553C2313yes—
95C2×#13083553C2316yes—
96C2×#13083553C2311yescharacteristic
97C4⋊C4×D89—212no—
98C2×C22⋊Dic89C2313yes—
99C2×C22⋊Dic89C2313yes—
100C2×C22⋊Dic89C2311yescharacteristic
101C2×#13083551C2313yes—
102C2×#13083551C2313yes—
103C2×#13083551C2311yescharacteristic
104C2×C4×Dic89C2313yes—
105C2×C4×Dic89C2313yes—
106C2×C4×Dic89C2313yes—
107C2×C4×Dic89C2313yes—
108C2×C4×Dic89C2313yes—
109C2×C4×Dic89C2313yes—
110C2×C4×Dic89C2313yes—
111C2×C4×Dic89C2313yes—
112C2×C4×Dic89C2311yescharacteristic
113C42×D89—212no—
114#15667919C2313yes—
115#15667919C2313yes—
116#15667919C2313yes—
117#15667919C2313yes—
118#15667919C2313yes—
119#15667919C2313yes—
120#15667919C2316yes—
121#15667919C2316yes—
122#15667919C2316yes—
123C22×Q8×C89—24no—
124C22×Q8×C89—24no—
125C22×Q8×C89C2×C418yescomplemented
126C22×Q8×C89C2313yes—
127C22×Q8×C89C2311yescharacteristic
128C23×C4×C89C2313yes—
129C23×C4×C89C2313yes—
130C23×C4×C89C2311yescharacteristic
131C4×Q8×C89—24no—
132C4×Q8×C89—212no—
133C4×Q8×C89—212no—
134C4×Q8×C89D418yescomplemented
135C2×C4⋊C4×C89—212no—
136C2×C4⋊C4×C89C2313yes—
137C2×C4⋊C4×C89C2316yes—
138C2×C4⋊C4×C89C2313yes—
139C2×C42×C89—212no—
140C2×C42×C89C2313yes—
141C2×C42×C89C2313yes—
142C2×C42×C89C2313yes—
143C2×C42×C89C2313yes—
144C23×D89C2411yescharacteristic
145C2×Dic178—26no—
146C2×Dic178—26no—
147C2×Dic178C22×C4112yes—
148Q8×D89—232no—
149C2×C22⋊D89C22×C414yes—
150C2×C22⋊D89C2×Q814yes—
151C2×C22⋊D89#4114yes—
152C22×Dic89C2413yes—
153C22×Dic89C2413yes—
154C22×Dic89C2413yes—
155C22×Dic89C2413yes—
156C22×Dic89C2411yescharacteristic
157C22×Dic89C2411yescharacteristic
158C22×Dic89C2411yescharacteristic
159C2×C4×D89—26no—
160C2×C4×D89—22no—
161C2×C4×D89—26no—
162C2×C4×D89—22no—
163C2×C4×D89—26no—
164C2×C4×D89—26no—
165C2×C4×D89—43no—
166C2×C4×D89C22×C4112yes—
167C2×C4×D89C2×Q814yescomplemented
168C4⋊Dic89—26no—
169C4⋊Dic89—26no—
170C4⋊Dic89C22×C4112yes—
171#13083553—212no—
172#13083553—26no—
173#13083553—46no—
174#13083553C22×C4112yes—
175#13083553C22×C4124yes—
176#13083553C2×Q814yescomplemented
177C22⋊Dic89—26no—
178C22⋊Dic89C22×C4112yes—
179C22⋊Dic89C2×Q814yescomplemented
180#13083551—26no—
181#13083551C22×C4112yes—
182#13083551C2×Q814yescomplemented
183C4×Dic89—26no—
184C4×Dic89—26no—
185C4×Dic89—26no—
186C4×Dic89—26no—
187C4×Dic89—26no—
188C4×Dic89—26no—
189C4×Dic89—43no—
190C4×Dic89C22×C4112yes—
191C4×Dic89C2×Q814yescomplemented
192C24×C89C2411yescharacteristic
193C2×Q8×C89—232no—
194C2×Q8×C89—26no—
195C2×Q8×C89—26no—
196C2×Q8×C89C22×C4112yes—
197C2×Q8×C89C22×C414yes—
198C2×Q8×C89C2×D414yes—
199C2×Q8×C89#4114yes—
200C22×C4×C89—22no—
201C22×C4×C89—26no—
202C22×C4×C89—26no—
203C22×C4×C89—22no—
204C22×C4×C89—26no—
205C22×C4×C89—26no—
206C22×C4×C89—43no—
207C22×C4×C89C22×C4112yes—
208C22×C4×C89C2×Q814yescomplemented
209C22×C4×C89C2413yes—
210C22×C4×C89C2413yes—
211C22×C4×C89C2413yes—
212C22×C4×C89C2411yescharacteristic
213C22×C4×C89C2413yes—
214C22×C4×C89C2411yescharacteristic
215C4⋊C4×C89—212no—
216C4⋊C4×C89—26no—
217C4⋊C4×C89C2×D4112yes—
218C42×C89—26no—
219C42×C89—26no—
220C42×C89—26no—
221C42×C89C2×D4112yes—
222C23×C89—21no—
223C23×C89—21no—
224C23×C89—21no—
225C23×C89—21no—
226C23×C89C23×C412yes—
227C23×C89C22×Q812yes—
228C23×C89C2×#4112yes—
229C23×C89C2511yescharacteristic
230C22×D89—21no—
231C22×D89—21no—
232C22×D89—21no—
233C22×D89—21no—
234C22×D89C23×C412yes—
235C22×D89C22×Q812yes—
236C22×D89C2×#4112yes—
237Q8×C89—224no—
238Q8×C89C4×D4116yescomplemented
239C2×C4×C89—21no—
240C2×C4×C89—23no—
241C2×C4×C89—23no—
242C2×C4×C89—23no—
243C2×C4×C89—21no—
244C2×C4×C89—23no—
245C2×C4×C89—224no—
246C2×C4×C89—28no—
247C2×C4×C89—23no—
248C2×C4×C89—23no—
249C2×C4×C89—23no—
250C2×C4×C89—412no—
251C2×C4×C89C23×C416yes—
252C2×C4×C89C23×C416yes—
253C2×C4×C89C22×D416yes—
254C2×C4×C89C22×D416yes—
255C2×C4×C89C22×D412yes—
256C2×C4×C89C22×Q812yes—
257C2×C4×C89C22×Q812yes—
258C2×C4×C89C2×#4116yes—
259C2×C4×C892−1+412yes—
260C22⋊D89C4×Q8116yesdirect product factor
261C2×Dic89—21no—
262C2×Dic89—23no—
263C2×Dic89—21no—
264C2×Dic89—23no—
265C2×Dic89—23no—
266C2×Dic89—21no—
267C2×Dic89—21no—
268C2×Dic89—23no—
269C2×Dic89—23no—
270C2×Dic89—23no—
271C2×Dic89—23no—
272C2×Dic89—23no—
273C2×Dic89—23no—
274C2×Dic89—23no—
275C2×Dic89C23×C416yes—
276C2×Dic89C23×C416yes—
277C2×Dic89C23×C412yes—
278C2×Dic89C22×Q812yes—
279C2×Dic89C22×Q812yes—
280C2×Dic89C22×Q812yes—
281C2×Dic89C2×#4112yes—
282C4×D89—224no—
283C4×D89—28no—
284C4×D89—412no—
285Dic178—224no—
286C22×C89—22no—
287C22×C89—22no—
288C22×C89—22no—
289C22×C89—22no—
290C22×C89—22no—
291C22×C89—22no—
292C22×C89C2×C4×Q814yescomplemented
293C22×C89C24×C411yescharacteristic
294C22×C89C23×D411yescharacteristic
295C22×C89C23×Q811yescharacteristic
296C22×C89C22×#4111yescharacteristic
297C22×C89C22×#4111yescharacteristic
298C22×C89C2×2−1+411yescharacteristic
299C22×C89#58511yescharacteristic
300C2×D89—22no—
301C2×D89—22no—
302C2×D89—22no—
303C2×D89—22no—
304C2×D89—22no—
305C2×D89—22no—
306C2×D89C2×C4×Q814yescomplemented
307C4×C89—26no—
308C4×C89—22no—
309C4×C89—26no—
310C4×C89—43no—
311C4×C89C2×C4×D4112yes—
312C4×C89D4×Q814yescomplemented
313Dic89—26no—
314Dic89—26no—
315Dic89—22no—
316Dic89—22no—
317Dic89—43no—
318Dic89—43no—
319Dic89C2×C4×Q814yescomplemented
320C4×D4×Q8—891nomaximal, Sylow
321C2×C89—24no—
322C2×C89C22×C4×D411yescharacteristic
323C2×C89C22×C4×Q811yescharacteristic
324C2×C89C4×2−1+411yescharacteristic
325C2×C89C2×D4×Q811yescharacteristic
326C2×C89D4×#4111yescharacteristic
327C2×C89Q8×#4111yescharacteristic
328C2×C89#348211yescharacteristic
329D89—24no—
330C2×D4×Q8—891no—
331C22×C4×Q8—891no—
332C22×C4×Q8D8911yescharacteristic, complemented
333#2365—893no—
334#2360—893no—
335#2360—893no—
336Q8×C4⋊C4—891no—
337D4×C4⋊C4—893no—
338Q8×C22⋊C4—891no—
339Q8×C22⋊C4—891no—
340C4×C4⋊Q8—893no—
341C4×C22⋊Q8—893no—
342C4×C22⋊Q8—893no—
343C42×Q8—891no—
344C42×D4—893no—
345C89C4×D4×Q811yescharacteristic, complemented, Sylow
346C23×Q8—891no—
347C23×Q8C2×D8911yescharacteristic
348D4×Q8—8916no—
349C2×C4⋊Q8—893no—
350C2×C22⋊Q8—893no—
351C2×C22⋊Q8—893no—
352C2×C4×Q8—28no—
353C2×C4×Q8—891no—
354C2×C4×Q8—891no—
355C2×C4×Q8—891no—
356C2×C4×Q8—893no—
357C2×C4×Q8—893no—
358C2×C4×Q8—1788no—
359C2×C4×Q8C2×D8913yes—
360C2×C4×Q8C2×D8911yescharacteristic
361C2×C4×Q8C2×D8913yes—
362C2×C4×Q8C2×D8911yescharacteristic
363C2×C4×D4—893no—
364C2×C4×D4—891no—
365C2×C4×D4—893no—
366C22×C4⋊C4—893no—
367C22×C4⋊C4C2×D8913yes—
368C22×C42—893no—
369C22×C42C2×D8913yes—
370#391—893no—
371#391—893no—
372#391—893no—
373#391—893no—
374#389—896no—
375#389—896no—
376#389—893no—
377#389—893no—
378#387—896no—
379#387—896no—
380#385—896no—
381#385—896no—
382#384—893no—
383#380—893no—
384#380—893no—
385C4×C4⋊C4—893no—
386C4×C4⋊C4—893no—
387C4×C4⋊C4—893no—
388C4×C4⋊C4—896no—
389C4×C4⋊C4—893no—
390C4×C4⋊C4—893no—
391C4×C4⋊C4—893no—
392C4×C22⋊C4—893no—
393C4×C22⋊C4—893no—
394C4×C22⋊C4—893no—
395C4×C22⋊C4—893no—
396C4×C22⋊C4—893no—
397C4×C22⋊C4—893no—
398C43—893no—
399C22×Q8—24no—
400C22×Q8—24no—
401C22×Q8—898no—
402C22×Q8—893no—
403C22×Q8—1784no—
404C22×Q8—1784no—
405C22×Q8C4×D8918yescomplemented
406C22×Q8C22×D8913yes—
407C22×Q8C22×D8911yescharacteristic
408C22×D4—891no—
409C23×C4—893no—
410C23×C4—891no—
411C23×C4—893no—
412C23×C4C22×D8913yes—
413C23×C4C22×D8913yes—
414C23×C4C22×D8911yescharacteristic
415C4⋊Q8—8924no—
416C22⋊Q8—8924no—
417C22⋊Q8—8924no—
418C4×Q8—24no—
419C4×Q8—212no—
420C4×Q8—212no—
421C4×Q8—898no—
422C4×Q8—1784no—
423C4×Q8—1784no—
424C4×Q8—17812no—
425C4×Q8—17812no—
426C4×Q8C22⋊D8918yesdirect product factor
427C4×D4—8924no—
428C4×D4—898no—
429C4×D4—17812no—
430C2×C4⋊C4—212no—
431C2×C4⋊C4—893no—
432C2×C4⋊C4—891no—
433C2×C4⋊C4—893no—
434C2×C4⋊C4—896no—
435C2×C4⋊C4—896no—
436C2×C4⋊C4—893no—
437C2×C4⋊C4—896no—
438C2×C4⋊C4—893no—
439C2×C4⋊C4—893no—
440C2×C4⋊C4—17812no—
441C2×C4⋊C4C22×D8913yes—
442C2×C4⋊C4C22×D8916yes—
443C2×C4⋊C4C22×D8913yes—
444C2×C22⋊C4—893no—
445C2×C22⋊C4—891no—
446C2×C22⋊C4—893no—
447C2×C22⋊C4—891no—
448C2×C22⋊C4—893no—
449C2×C22⋊C4—893no—
450C2×C42—212no—
451C2×C42—893no—
452C2×C42—891no—
453C2×C42—893no—
454C2×C42—893no—
455C2×C42—893no—
456C2×C42—893no—
457C2×C42—893no—
458C2×C42—893no—
459C2×C42—893no—
460C2×C42—17812no—
461C2×C42C22×D8913yes—
462C2×C42C22×D8913yes—
463C2×C42C22×D8913yes—
464C2×C42C22×D8913yes—
465#95—893no—
466#95—893no—
467#95—893no—
468#95—893no—
469#95—893no—
470#95—893no—
471#95—896no—
472#95—896no—
473#95—896no—
474C24—891no—
475C24C23×D8911yescharacteristic
476C2×Q8—232no—
477C2×Q8—26no—
478C2×Q8—26no—
479C2×Q8—8912no—
480C2×Q8—17832no—
481C2×Q8—1786no—
482C2×Q8—1786no—
483C2×Q8C2×C4×D89112yes—
484C2×Q8C2×C4×D8914yes—
485C2×Q8C2×C22⋊D8914yes—
486C2×Q8#1308357414yes—
487C2×D4—894no—
488C2×D4—894no—
489C2×D4—894no—
490C22×C4—22no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—22no—
494C22×C4—26no—
495C22×C4—26no—
496C22×C4—43no—
497C22×C4—891no—
498C22×C4—891no—
499C22×C4—891no—
500C22×C4—893no—
501C22×C4—893no—
502C22×C4—8912no—
503C22×C4—894no—
504C22×C4—893no—
505C22×C4—893no—
506C22×C4—3563no—
507C22×C4—1786no—
508C22×C4—1786no—
509C22×C4—1782no—
510C22×C4—1786no—
511C22×C4—1786no—
512C22×C4—1782no—
513C22×C4C2×C4×D89112yes—
514C22×C4Q8×D8914yescomplemented
515C22×C4C23×D8913yes—
516C22×C4C23×D8913yes—
517C22×C4C23×D8913yes—
518C22×C4C23×D8911yescharacteristic
519C22×C4C23×D8913yes—
520C22×C4C23×D8911yescharacteristic
521C4⋊C4—212no—
522C4⋊C4—26no—
523C4⋊C4—8912no—
524C4⋊C4—8912no—
525C4⋊C4—8924no—
526C4⋊C4—894no—
527C4⋊C4—3566no—
528C4⋊C4—1786no—
529C4⋊C4—17812no—
530C4⋊C4—1786no—
531C4⋊C4—1786no—
532C4⋊C4C2×C22⋊D89112yes—
533C22⋊C4—8912no—
534C22⋊C4—894no—
535C22⋊C4—8912no—
536C22⋊C4—894no—
537C22⋊C4—1786no—
538C22⋊C4—1786no—
539C42—26no—
540C42—26no—
541C42—26no—
542C42—8912no—
543C42—894no—
544C42—3563no—
545C42—1786no—
546C42—1786no—
547C42—1786no—
548C42—1786no—
549C42—1786no—
550C42—1786no—
551C42C2×C22⋊D89112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—892no—
557C23—892no—
558C23—892no—
559C23—1781no—
560C23—1781no—
561C23—1781no—
562C23—1781no—
563C23C22×C4×D8912yes—
564C23C2×Q8×D8912yes—
565C23#41×D8912yes—
566C23C24×D8911yescharacteristic
567Q8—224no—
568Q8—17824no—
569Q8C4×C22⋊D89116yesdirect product factor
570D4—8916no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—28no—
578C2×C4—224no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—412no—
583C2×C4—892no—
584C2×C4—892no—
585C2×C4—892no—
586C2×C4—896no—
587C2×C4—896no—
588C2×C4—892no—
589C2×C4—892no—
590C2×C4—35612no—
591C2×C4—1783no—
592C2×C4—1783no—
593C2×C4—1783no—
594C2×C4—1783no—
595C2×C4—1783no—
596C2×C4—1783no—
597C2×C4—1781no—
598C2×C4—1783no—
599C2×C4—1781no—
600C2×C4—1783no—
601C2×C4—1783no—
602C2×C4—1781no—
603C2×C4—1781no—
604C2×C4—1783no—
605C2×C4—1788no—
606C2×C4—17824no—
607C2×C4C22×C4×D8916yes—
608C2×C4C22×C4×D8916yes—
609C2×C4C22×C22⋊D8916yes—
610C2×C4C22×C22⋊D8912yes—
611C2×C4C22×C22⋊D8916yes—
612C2×C4C2×Q8×D8912yes—
613C2×C4C2×Q8×D8912yes—
614C2×C4C2×#1308357416yes—
615C2×C4#1566806012yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—894no—
623C22—1782no—
624C22—1782no—
625C22—1782no—
626C22—1782no—
627C22—1782no—
628C22—1782no—
629C22C4×Q8×D8914yescomplemented
630C22C23×C4×D8911yescharacteristic
631C22C23×C22⋊D8911yescharacteristic
632C22C22×Q8×D8911yescharacteristic
633C22C2×#41×D8911yescharacteristic
634C22C22×#1308357411yescharacteristic
635C22C2×#1566806011yescharacteristic
636C22#1915243411yescharacteristic
637C4—26no—
638C4—22no—
639C4—26no—
640C4—43no—
641C4—894no—
642C4—3563no—
643C4—3563no—
644C4—1786no—
645C4—1786no—
646C4—1782no—
647C4—1782no—
648C4C2×C4×C22⋊D89112yes—
649C4Q8×C22⋊D8914yesdirect product factor
650C2—24no—
651C2—1784no—
652C2C22×C4×C22⋊D8911yescharacteristic
653C2C2×C4×Q8×D8911yescharacteristic
654C2C4×#1566806011yescharacteristic
655C2C2×Q8×C22⋊D8911yescharacteristic
656C2#41×C22⋊D8911yescharacteristic
657C2Q8×#1308357411yescharacteristic
658C2#2603386911yescharacteristic
subgroupG/H
centerC22×C4C23×D89
commutatorC22×C89C24×C4
FrattiniC23C24×D89
FittingC22×C4×Q8×C89C2
socle, cosocleC23×C89C25
prime radicalC22×C22⋊D89C23
hypercenterC22×C4×Q8D89
hypocenterC89C4×D4×Q8
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C22×C4 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D89C2semidirect
3. #26023306C2semidirect
4. #26023257C2semidirect
5. #26023253C2semidirect
6. Q8×#13083553C2semidirect
8. Q8×C22⋊Dic89C2semidirect
9. Q8×#13083551C2semidirect
10. C4×#15668010C2semidirect
11. C4×#15667991C2semidirect
12. C4×#15667988C2semidirect
13. C4×Q8×Dic89C2semidirect
15. C22×C4×Q8×C89C2semidirect
17. Q8×C22⋊D89C4direct (N × H)
72. C2×Q8×D89C2×C4semidirect
77. #15668010C2×C4semidirect
78. #15667991C2×C4semidirect
79. #15667988C2×C4semidirect
82. Q8×Dic89C2×C4semidirect
87. C4×C22⋊D89Q8direct (N × H)
125. C22×Q8×C89C2×C4semidirect
134. C4×Q8×C89D4semidirect
167. C2×C4×D89C2×Q8semidirect
176. #13083553C2×Q8semidirect
179. C22⋊Dic89C2×Q8semidirect
182. #13083551C2×Q8semidirect
191. C4×Dic89C2×Q8semidirect
208. C22×C4×C89C2×Q8semidirect
238. Q8×C89C4×D4semidirect
260. C22⋊D89C4×Q8direct (N × H)
292. C22×C89C2×C4×Q8semidirect
306. C2×D89C2×C4×Q8semidirect
312. C4×C89D4×Q8semidirect
319. Dic89C2×C4×Q8semidirect
332. C22×C4×Q8D89semidirect
345. C89C4×D4×Q8semidirect
405. C22×Q8C4×D89semidirect
426. C4×Q8C22⋊D89direct (N × H)
514. C22×C4Q8×D89semidirect
569. Q8C4×C22⋊D89direct (N × H)
629. C22C4×Q8×D89semidirect
649. C4Q8×C22⋊D89direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D892
C2×C4×Q8×D892
#260233062
#260232572
#260232532
Q8×#130835532
C4⋊C4×C22⋊D892
Q8×C22⋊Dic892
Q8×#130835512
C4×#156680102
C4×#156679912
C4×#156679882
C4×Q8×Dic892
C42×C22⋊D892
C22×C4×Q8×C892
C4×D4×Q889