Finite Group Databasebeta

← #36715386

Subgroups — #36715386

Order 22784.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152073C211yesmaximal, characteristic
2#26023190C214yesmaximal, complemented
3#26023179C214yesmaximal, complemented
4#26023114C214yesmaximal, complemented
5#26023103C214yesmaximal, complemented
6#26022878C214yesmaximal, complemented
7#26022864C211yesmaximal, characteristic, complemented
8#26022692C214yesmaximal, complemented
9C2×#19151478C211yesmaximal, characteristic
10C2×#19151470C211yesmaximal, characteristic, complemented
11#26022605C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic89C211yesmaximal, characteristic, complemented
13C89×#2308C211yesmaximal, characteristic
14C24×Dic89C2211yescharacteristic
15#19152073C4116yescomplemented
16C2×D4×Dic89C2214yes—
17C2×D4×Dic89C2214yes—
18C2×#15667971C2212yes—
19C2×#15667968C2214yescomplemented
20C22×#13083553C2212yescomplemented
21C22×C22⋊Dic89C2211yescharacteristic
22C22×C22⋊Dic89C2212yes—
23C22×C22⋊Dic89C2211yescharacteristic
24C22×C22⋊Dic89C2211yescharacteristic
25C22×C22⋊Dic89C2212yes—
26C22×C4×Dic89C2212yescomplemented
27#19151492C2214yescomplemented
28#19151492C2214yescomplemented
29#19151486C2214yescomplemented
30#19151486C2214yescomplemented
31#19151483C2214yescomplemented
32#19151483C2214yescomplemented
33#19151481C2214yescomplemented
34#19151481C2214yescomplemented
35#19151478C2214yes—
36#19151478C2212yes—
37#19151478C2212yes—
38#19151471C2214yescomplemented
39#19151470C2214yes—
40#19151470C2214yes—
41#19151470C2212yescomplemented
42#19151470C2212yescomplemented
43#19151465C2214yescomplemented
44#19151462C2214yescomplemented
45#19151459C2214yescomplemented
46#19151456C2214yescomplemented
47#19151456C2214yescomplemented
48#19151449C2214yescomplemented
49C22⋊C4×Dic89C2214yes—
50C22⋊C4×Dic89C2214yes—
51C22⋊C4×Dic89C2214yescomplemented
52C22⋊C4×Dic89C2214yescomplemented
53C22⋊C4×Dic89C2214yescomplemented
54C4×C22⋊Dic89C2212yescomplemented
55C4×C22⋊Dic89C2212yescomplemented
56#19151443C2214yescomplemented
57C2×#15667919C2212yes—
58C2×#15667919C2212yescomplemented
59C2×#15667919C2212yescomplemented
60C23×D4×C89C2211yescharacteristic
61C22×C22⋊C4×C89C2211yescharacteristic
62C22×C22⋊C4×C89C2211yescharacteristic
63#386×C89C2212yes—
64#386×C89C2212yes—
65#386×C89C2214yes—
66#381×C89C2212yes—
67#379×C89C2212yes—
68C23×Dic89—24no—
69C23×Dic89—44no—
70C23×Dic89C2311yescharacteristic
71C23×Dic89C2312yes—
72C23×Dic89C2312yes—
73C23×Dic89C2311yescharacteristic
74C23×Dic89C2312yes—
75C23×Dic89C2312yes—
76C23×Dic89C2312yes—
77C23×Dic89C2314yes—
78D4×Dic89C2×C4132yescomplemented
79D4×Dic89C2×C4132yescomplemented
80#15667971C2×C4116yescomplemented
81#15667968—48no—
82C2×C4⋊Dic89C2314yes—
83C2×#13083553—44no—
84C2×#13083553C2314yes—
85C2×#13083553C2314yes—
86C2×#13083553C2314yes—
87C2×#13083553C2314yes—
88C2×C22⋊Dic89—24no—
89C2×C22⋊Dic89—44no—
90C2×C22⋊Dic89C2×C418yes—
91C2×C22⋊Dic89C2×C418yes—
92C2×C22⋊Dic89C2×C4116yescomplemented
93C2×C22⋊Dic89C2312yes—
94C2×C22⋊Dic89C2312yes—
95C2×C22⋊Dic89C2314yes—
96C2×C22⋊Dic89C2314yes—
97C2×C22⋊Dic89C2312yes—
98C2×C22⋊Dic89C2312yes—
99C2×C22⋊Dic89C2312yes—
100C2×C22⋊Dic89C2312yes—
101C2×C22⋊Dic89C2314yes—
102C2×C4×Dic89—44no—
103C2×C4×Dic89C2314yes—
104C2×C4×Dic89C2314yes—
105C2×C4×Dic89C2314yes—
106C2×C4×Dic89C2314yes—
107C2×C4×Dic89C2314yes—
108#15667919C2314yes—
109#15667919C2314yes—
110#15667919C2314yes—
111#15667919C2314yes—
112#15667919C2314yes—
113#15667919C2314yes—
114#15667919C2314yes—
115#15667919C2314yes—
116#15667919C2314yes—
117#15667919C2314yes—
118C25×C89C2311yescharacteristic
119C25×C89C2311yescharacteristic
120C22×D4×C89—24no—
121C22×D4×C89—24no—
122C22×D4×C89C2×C418yes—
123C22×D4×C89C2312yes—
124C22×D4×C89C2312yes—
125C23×C4×C89C2311yescharacteristic
126C23×C4×C89C2311yescharacteristic
127C23×C4×C89C2312yes—
128C23×C4×C89C2311yescharacteristic
129C2×C22⋊C4×C89—24no—
130C2×C22⋊C4×C89—24no—
131C2×C22⋊C4×C89C2312yes—
132C2×C22⋊C4×C89C2312yes—
133C2×C22⋊C4×C89C2312yes—
134C2×C22⋊C4×C89C2312yes—
135C2×C22⋊C4×C89C2314yes—
136C2×C22⋊C4×C89C2314yes—
137#95×C89C2314yes—
138#95×C89C2314yes—
139C22×Dic89—22no—
140C22×Dic89—24no—
141C22×Dic89—24no—
142C22×Dic89—24no—
143C22×Dic89—22no—
144C22×Dic89—24no—
145C22×Dic89—24no—
146C22×Dic89—24no—
147C22×Dic89—44no—
148C22×Dic89—42no—
149C22×Dic89—42no—
150C22×Dic89—42no—
151C22×Dic89—42no—
152C22×Dic89—44no—
153C22×Dic89—42no—
154C22×Dic89—42no—
155C22×Dic89—42no—
156C22×Dic89—42no—
157C22×Dic89—42no—
158C22×Dic89—416no—
159C22×Dic89C22×C418yes—
160C22×Dic89C22×C418yes—
161C22×Dic89C22×C4116yescomplemented
162C22×Dic89C2412yes—
163C22×Dic89C2414yes—
164C22×Dic89C2414yes—
165C22×Dic89C2414yes—
166C22×Dic89C2412yes—
167C4⋊Dic89C22×C4116yescomplemented
168#13083553—28no—
169#13083553—44no—
170#13083553—44no—
171#13083553—44no—
172C22⋊Dic89—24no—
173C22⋊Dic89—24no—
174C22⋊Dic89—28no—
175C22⋊Dic89—44no—
176C22⋊Dic89C22×C418yes—
177C22⋊Dic89C22×C418yes—
178C22⋊Dic89C22×C418yes—
179C22⋊Dic89C22×C418yes—
180C22⋊Dic89C22×C4116yescomplemented
181C4×Dic89—28no—
182C4×Dic89—44no—
183C4×Dic89—44no—
184C4×Dic89—44no—
185C4×Dic89C22×C4116yescomplemented
186C24×C89—22no—
187C24×C89—22no—
188C24×C89—42no—
189C24×C89—42no—
190C24×C89—42no—
191C24×C89—42no—
192C24×C89C22×C414yes—
193C24×C89C22×C414yes—
194C24×C89#4114yes—
195C24×C89#4114yes—
196C24×C89C2412yes—
197C24×C89C2411yescharacteristic
198C24×C89C2411yescharacteristic
199C24×C89C2411yescharacteristic
200C2×D4×C89—232no—
201C2×D4×C89—24no—
202C2×D4×C89—24no—
203C2×D4×C89—24no—
204C2×D4×C89—24no—
205C2×D4×C89C22×C418yes—
206C2×D4×C89C22×C418yes—
207C22×C4×C89—22no—
208C22×C4×C89—22no—
209C22×C4×C89—24no—
210C22×C4×C89—22no—
211C22×C4×C89—22no—
212C22×C4×C89—42no—
213C22×C4×C89—42no—
214C22×C4×C89—42no—
215C22×C4×C89—42no—
216C22×C4×C89C22×C414yes—
217C22×C4×C89C2412yes—
218C22×C4×C89C2414yes—
219C22×C4×C89C2412yes—
220C22×C4×C89C2412yes—
221C22⋊C4×C89—24no—
222C22⋊C4×C89—24no—
223C22⋊C4×C89—24no—
224C22⋊C4×C89—24no—
225C22⋊C4×C89—44no—
226C22⋊C4×C89—44no—
227C23×C89—22no—
228C23×C89—22no—
229C23×C89—22no—
230C23×C89—22no—
231C23×C89—22no—
232C23×C89—22no—
233C23×C89—22no—
234C23×C89—22no—
235C23×C89—24no—
236C23×C89—24no—
237C23×C89—28no—
238C23×C89—48no—
239C23×C89—44no—
240C23×C89—48no—
241C23×C89—44no—
242C23×C89—48no—
243C23×C89—82no—
244C23×C89—82no—
245C23×C89—84no—
246C23×C89#117116yescomplemented
247C23×C89C23×C414yes—
248C23×C89C23×C412yes—
249C23×C89C23×C412yes—
250C23×C89C23×C412yes—
251C23×C89C2×#4112yes—
252C23×C89C2×#4112yes—
253C23×C89C2×#4112yes—
254C23×C89C2×#4112yes—
255C23×C89C2×#4112yes—
256C23×C89C2×#4112yes—
257C23×C89C2511yescharacteristic
258D4×C89—216no—
259D4×C89—216no—
260C2×C4×C89—28no—
261C2×C4×C89—22no—
262C2×C4×C89—22no—
263C2×C4×C89—22no—
264C2×C4×C89—22no—
265C2×C4×C89—24no—
266C2×C4×C89—24no—
267C2×C4×C89—24no—
268C2×C4×C89—24no—
269C2×C4×C89—24no—
270C2×C4×C89—48no—
271C2×C4×C89—82no—
272C2×C4×C89—82no—
273C2×C4×C89C23×C414yes—
274C2×Dic89—28no—
275C2×Dic89—22no—
276C2×Dic89—24no—
277C2×Dic89—22no—
278C2×Dic89—24no—
279C2×Dic89—24no—
280C2×Dic89—24no—
281C2×Dic89—24no—
282C2×Dic89—22no—
283C2×Dic89—24no—
284C2×Dic89—22no—
285C2×Dic89—22no—
286C2×Dic89—24no—
287C2×Dic89—48no—
288C2×Dic89—48no—
289C2×Dic89—416no—
290C2×Dic89—48no—
291C2×Dic89—48no—
292C2×Dic89—44no—
293C2×Dic89—84no—
294C2×Dic89C23×C418yes—
295C2×Dic89C23×C418yes—
296C2×Dic89H(5,𝔽2)14yes—
297C22×C89—24no—
298C22×C89—24no—
299C22×C89—24no—
300C22×C89—22no—
301C22×C89—22no—
302C22×C89—22no—
303C22×C89—22no—
304C22×C89—22no—
305C22×C89—22no—
306C22×C89—24no—
307C22×C89—24no—
308C22×C89—24no—
309C22×C89—24no—
310C22×C89—28no—
311C22×C89—416no—
312C22×C89—42no—
313C22×C89—42no—
314C22×C89—44no—
315C22×C89—88no—
316C22×C89C2×#11714yes—
317C22×C89C2×#11714yes—
318C22×C89C2×#11714yes—
319C22×C89C24×C411yescharacteristic
320C22×C89C22×#4111yescharacteristic
321C22×C89C22×#4111yescharacteristic
322C22×C89C2×H(5,𝔽2)12yes—
323C22×C89#58512yes—
324C4×C89—24no—
325C4×C89—42no—
326C4×C89—42no—
327C4×C89—44no—
328Dic89—28no—
329Dic89—28no—
330Dic89—24no—
331Dic89—42no—
332Dic89—44no—
333#34251—891nomaximal, Sylow
334C2×C89—24no—
335C2×C89—24no—
336C2×C89—24no—
337C2×C89—44no—
338C2×C89C22×#11711yescharacteristic
339C2×C89C4×H(5,𝔽2)12yes—
340C2×C89#349011yescharacteristic
341C2×C89#349111yescharacteristic
342C2×C89#350512yes—
343C2×#518—891no—
344#2353—894no—
345#2352—894no—
346#2343—894no—
347#2342—894no—
348#2318—894no—
349#2315—891no—
350#2308D8911yescharacteristic
351#2290—894no—
352C2×#386—891no—
353C2×#385—891no—
354#2273—891no—
355C2×C4×C22⋊C4—891no—
356C89#3425111yescharacteristic, complemented, Sylow
357C23×D4C2×D8911yescharacteristic
358C24×C4—891no—
359#518—8916no—
360C2×C4×D4—894no—
361C2×C4×D4—894no—
362C2×#117—892no—
363C2×#117—894no—
364C22×C4⋊C4—892no—
365C22×C22⋊C4—891no—
366C22×C22⋊C4—892no—
367C22×C22⋊C4—891no—
368C22×C22⋊C4—892no—
369C22×C22⋊C4—891no—
370C22×C22⋊C4C2×D8911yescharacteristic
371C22×C22⋊C4C2×D8911yescharacteristic
372C22×C42—892no—
373#388—894no—
374#388—894no—
375#388—894no—
376#388—894no—
377#387—894no—
378#387—894no—
379#387—894no—
380#387—894no—
381#386—892no—
382#386—894no—
383#386—892no—
384#386C2×D8914yes—
385#386C2×D8912yes—
386#386C2×D8912yes—
387#385—894no—
388#385—894no—
389#385—892no—
390#385—894no—
391#385—892no—
392#383—894no—
393#382—894no—
394#381—894no—
395#381C2×D8912yes—
396#380—894no—
397#380—894no—
398#379C2×D8912yes—
399C4×C4⋊C4—894no—
400C4×C22⋊C4—892no—
401C4×C22⋊C4—892no—
402C4×C22⋊C4—894no—
403C4×C22⋊C4—894no—
404C4×C22⋊C4—894no—
405C4×C22⋊C4—894no—
406C4×C22⋊C4—894no—
407#376—894no—
408C2×#95—892no—
409C2×#95—892no—
410C2×#95—892no—
411C25C22×D8911yescharacteristic
412C25C22×D8911yescharacteristic
413C22×D4—24no—
414C22×D4—24no—
415C22×D4C4×D8918yes—
416C22×D4C22×D8912yes—
417C22×D4C22×D8912yes—
418C23×C4—892no—
419C23×C4—894no—
420C23×C4—892no—
421C23×C4—892no—
422C23×C4—891no—
423C23×C4—892no—
424C23×C4—892no—
425C23×C4—891no—
426C23×C4—3564no—
427C23×C4—1784no—
428C23×C4C22×D8911yescharacteristic
429C23×C4C22×D8911yescharacteristic
430C23×C4C22×D8911yescharacteristic
431C23×C4C22×D8912yes—
432C4×D4—8932no—
433C4×D4—8932no—
434#117—8916no—
435#117—3568no—
436C2×C4⋊C4—894no—
437C2×C4⋊C4—894no—
438C2×C4⋊C4—894no—
439C2×C4⋊C4—894no—
440C2×C4⋊C4—894no—
441C2×C4⋊C4—3564no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—898no—
445C2×C22⋊C4—898no—
446C2×C22⋊C4—8916no—
447C2×C22⋊C4—892no—
448C2×C22⋊C4—892no—
449C2×C22⋊C4—892no—
450C2×C22⋊C4—892no—
451C2×C22⋊C4—894no—
452C2×C22⋊C4—894no—
453C2×C22⋊C4—894no—
454C2×C22⋊C4—892no—
455C2×C22⋊C4—892no—
456C2×C22⋊C4—3564no—
457C2×C22⋊C4—1784no—
458C2×C22⋊C4C22×D8912yes—
459C2×C22⋊C4C22×D8912yes—
460C2×C22⋊C4C22×D8912yes—
461C2×C22⋊C4C22×D8912yes—
462C2×C22⋊C4C22×D8914yes—
463C2×C22⋊C4C22×D8914yes—
464C2×C42—894no—
465C2×C42—894no—
466C2×C42—894no—
467C2×C42—894no—
468C2×C42—894no—
469C2×C42—3564no—
470#95—894no—
471#95—894no—
472#95—894no—
473#95—894no—
474#95—894no—
475#95—894no—
476#95—894no—
477#95—894no—
478#95—894no—
479#95—894no—
480#95C22×D8914yes—
481#95C22×D8914yes—
482C24—22no—
483C24—22no—
484C24—42no—
485C24—42no—
486C24—42no—
487C24—42no—
488C24C2×C4×D8914yes—
489C24C2×C4×D8914yes—
490C24#1308357314yes—
491C24#1308357314yes—
492C24C23×D8912yes—
493C24C23×D8911yescharacteristic
494C24C23×D8911yescharacteristic
495C24C23×D8911yescharacteristic
496C2×D4—232no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—24no—
501C2×D4C2×C4×D8918yes—
502C2×D4C2×C4×D8918yes—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—898no—
513C22×C4—898no—
514C22×C4—8916no—
515C22×C4—894no—
516C22×C4—892no—
517C22×C4—894no—
518C22×C4—892no—
519C22×C4—894no—
520C22×C4—35616no—
521C22×C4—3562no—
522C22×C4—3562no—
523C22×C4—3564no—
524C22×C4—3562no—
525C22×C4—3562no—
526C22×C4—3562no—
527C22×C4—3562no—
528C22×C4—3564no—
529C22×C4—3562no—
530C22×C4—3562no—
531C22×C4—3562no—
532C22×C4—1784no—
533C22×C4—1784no—
534C22×C4—1784no—
535C22×C4—1782no—
536C22×C4—1784no—
537C22×C4—1784no—
538C22×C4—1782no—
539C22×C4—1784no—
540C22×C4C2×C4×D8914yes—
541C22×C4C23×D8912yes—
542C22×C4C23×D8914yes—
543C22×C4C23×D8912yes—
544C22×C4C23×D8912yes—
545C4⋊C4—8916no—
546C4⋊C4—3564no—
547C4⋊C4—3564no—
548C4⋊C4—3564no—
549C4⋊C4—1788no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—898no—
557C22⋊C4—898no—
558C22⋊C4—898no—
559C22⋊C4—898no—
560C22⋊C4—8916no—
561C22⋊C4—3564no—
562C22⋊C4—1788no—
563C22⋊C4—1784no—
564C22⋊C4—1784no—
565C42—8916no—
566C42—3564no—
567C42—3564no—
568C42—3564no—
569C42—1788no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—44no—
582C23—48no—
583C23—44no—
584C23—48no—
585C23—48no—
586C23—82no—
587C23—82no—
588C23—84no—
589C23#15667968116yescomplemented
590C23C22×C4×D8914yes—
591C23C22×C4×D8912yes—
592C23C22×C4×D8912yes—
593C23C22×C4×D8912yes—
594C23C2×#1308357312yes—
595C23C2×#1308357312yes—
596C23C2×#1308357312yes—
597C23C2×#1308357312yes—
598C23C2×#1308357312yes—
599C23C2×#1308357312yes—
600C23C24×D8911yescharacteristic
601D4—216no—
602D4—216no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—28no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—48no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—898no—
617C2×C4—898no—
618C2×C4—894no—
619C2×C4—3564no—
620C2×C4—3568no—
621C2×C4—3568no—
622C2×C4—3568no—
623C2×C4—3568no—
624C2×C4—35616no—
625C2×C4—1784no—
626C2×C4—1782no—
627C2×C4—1784no—
628C2×C4—1782no—
629C2×C4—1782no—
630C2×C4—1784no—
631C2×C4—1788no—
632C2×C4—1782no—
633C2×C4—1784no—
634C2×C4—1782no—
635C2×C4—1784no—
636C2×C4—1784no—
637C2×C4—1784no—
638C2×C4—7124no—
639C2×C4C22×C4×D8914yes—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—28no—
654C22—416no—
655C22—42no—
656C22—42no—
657C22—44no—
658C22—88no—
659C22C2×#1566796814yes—
660C22C2×#1566796814yes—
661C22C2×#1566796814yes—
662C22C23×C4×D8911yescharacteristic
663C22C22×#1308357311yescharacteristic
664C22C22×#1308357311yescharacteristic
665C22H(5,𝔽2)×D8912yes—
666C22#1915243312yes—
667C4—24no—
668C4—42no—
669C4—42no—
670C4—44no—
671C4—3562no—
672C4—3564no—
673C4—1784no—
674C4—1788no—
675C4—1788no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2C22×#1566796811yescharacteristic
681C2#2603345612yes—
682C2#2603394011yescharacteristic
683C2#2603394911yescharacteristic
684C2#2603408912yes—
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2308C2
socle, cosocleC23×C89C25
prime radicalC23×D4×C89C22
hypercenter#2308D89
hypocenterC89#34251
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #26023190C2semidirect
3. #26023179C2semidirect
4. #26023114C2semidirect
5. #26023103C2semidirect
6. #26022878C2semidirect
7. #26022864C2semidirect
8. #26022692C2semidirect
10. C2×#19151470C2semidirect
11. #26022605C2semidirect
12. C2×C22⋊C4×Dic89C2semidirect
15. #19152073C4semidirect
19. C2×#15667968C22semidirect
20. C22×#13083553C22semidirect
26. C22×C4×Dic89C22semidirect
27. #19151492C22semidirect
28. #19151492C22semidirect
29. #19151486C22semidirect
30. #19151486C22semidirect
31. #19151483C22semidirect
32. #19151483C22semidirect
33. #19151481C22semidirect
34. #19151481C22semidirect
38. #19151471C22semidirect
41. #19151470C22semidirect
42. #19151470C22semidirect
43. #19151465C22semidirect
44. #19151462C22semidirect
45. #19151459C22semidirect
46. #19151456C22semidirect
47. #19151456C22semidirect
48. #19151449C22semidirect
51. C22⋊C4×Dic89C22semidirect
52. C22⋊C4×Dic89C22semidirect
53. C22⋊C4×Dic89C22semidirect
54. C4×C22⋊Dic89C22semidirect
55. C4×C22⋊Dic89C22semidirect
56. #19151443C22semidirect
58. C2×#15667919C22semidirect
59. C2×#15667919C22semidirect
78. D4×Dic89C2×C4semidirect
79. D4×Dic89C2×C4semidirect
80. #15667971C2×C4semidirect
92. C2×C22⋊Dic89C2×C4semidirect
161. C22×Dic89C22×C4semidirect
167. C4⋊Dic89C22×C4semidirect
180. C22⋊Dic89C22×C4semidirect
185. C4×Dic89C22×C4semidirect
246. C23×C89#117semidirect
356. C89#34251semidirect
589. C23#15667968semidirect

Maximal subgroups

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

subgroupindex
C2×#191520732
#260231902
#260231792
#260231142
#260231032
#260228782
#260228642
#260226922
C2×#191514782
C2×#191514702
#260226052
C2×C22⋊C4×Dic892
C89×#23082
#3425189