Finite Group Databasebeta

← C89×#26654 #36404502

Subgroups — C89×#26654 #36404502

Order 22784.

792 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3097C211yesmaximal, characteristic, complemented
2C89×#3042C211yesmaximal, characteristic
3C89×#2949C211yesmaximal, characteristic, complemented
4C89×#2947C211yesmaximal, characteristic, complemented
5C89×#2064C211yesmaximal, characteristic, complemented
6C89×#2019C211yesmaximal, characteristic
7C89×#2013C211yesmaximal, characteristic, complemented
8C89×#2005C211yesmaximal, characteristic, complemented
9C89×#1977C211yesmaximal, characteristic, complemented
10C89×#1930C211yesmaximal, characteristic, complemented
11C89×#1929C211yesmaximal, characteristic, complemented
12C89×#1922C211yesmaximal, characteristic, complemented
13C89×#1886C211yesmaximal, characteristic, complemented
14C89×#1883C211yesmaximal, characteristic
15C89×#1856C211yesmaximal, characteristic, complemented
16C2×#137×C89C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
18C22×SD16×C89C2211yescharacteristic
19C22×SD16×C89C2211yescharacteristic
20#536×C89C2211yescharacteristic
21C2×C4⋊Q8×C89C2211yescharacteristic
22#520×C89C2211yescharacteristic
23#519×C89C2211yescharacteristic
24#518×C89C2211yescharacteristic
25#485×C89—21no—
26#485×C89—21no—
27#484×C89—21no—
28#483×C89—21no—
29#463×C89—21no—
30#463×C89—21no—
31#461×C89—21no—
32#461×C89—21no—
33#441×C89—21no—
34#440×C89—21no—
35#440×C89—21no—
36#440×C89—21no—
37C4×Q16×C89—21no—
38C4×SD16×C89—21no—
39C4×SD16×C89—21no—
40C4×SD16×C89—21no—
41C2×#108×C89C2211yescharacteristic
42#428×C89C2211yescharacteristic
43#428×C89C2211yescharacteristic
44#427×C89C2211yescharacteristic
45#424×C89C2211yescharacteristic
46C2×#104×C89C2211yescharacteristic
47#419×C89C2211yescharacteristic
48#419×C89C2211yescharacteristic
49#419×C89C2211yescharacteristic
50#418×C89C2211yescharacteristic
51#416×C89C2211yescharacteristic
52C2×#103×C89C2211yescharacteristic
53C2×#103×C89C2211yescharacteristic
54C2×#101×C89C2211yescharacteristic
55C2×#101×C89C2211yescharacteristic
56C2×#100×C89C2211yescharacteristic
57#408×C89C2211yescharacteristic
58#405×C89C2211yescharacteristic
59#405×C89C2211yescharacteristic
60#390×C89C2211yescharacteristic
61#343×C89C2211yescharacteristic
62#341×C89C2211yescharacteristic
63#339×C89C2211yescharacteristic
64#339×C89C2211yescharacteristic
65#339×C89C2211yescharacteristic
66#336×C89C2211yescharacteristic
67C2×#41×C89C2311yescharacteristic
68C22×Q8×C89C2311yescharacteristic
69C22×Q8×C89C2311yescharacteristic
70C22×D4×C89C2311yescharacteristic
71#137×C89—22no—
72#137×C89—22no—
73AGL(1,ℤ/8)×C89—22no—
74AGL(1,ℤ/8)×C89—41no—
75C2×Q16×C89—21no—
76C2×SD16×C89—22no—
77C2×SD16×C89—21no—
78C2×SD16×C89—22no—
79C2×SD16×C89—21no—
80C2×SD16×C89—22no—
81C2×SD16×C89—21no—
82C2×SD16×C89—21no—
83C2×SD16×C89—21no—
84C2×SD16×C89—21no—
85C2×SD16×C89—41no—
86C2×D8×C89—21no—
87C2×M16×C89C2311yescharacteristic
88C2×M16×C89C2311yescharacteristic
89C2×M16×C89C2311yescharacteristic
90C2×M16×C89C2311yescharacteristic
91C22×C8×C89C2311yescharacteristic
92C22×C8×C89C2311yescharacteristic
93C4⋊Q8×C89—21no—
94C4⋊Q8×C89—22no—
95C4⋊Q8×C89—41no—
96#124×C89—21no—
97#123×C89—41no—
98C22⋊Q8×C89—21no—
99C22⋊Q8×C89—21no—
100C4×Q8×C89—21no—
101C4×Q8×C89—21no—
102C4×Q8×C89—21no—
103C4×Q8×C89—21no—
104C4×Q8×C89—21no—
105C4×D4×C89—21no—
106C4×D4×C89—21no—
107C4×D4×C89—21no—
108C4×D4×C89—21no—
109C4×D4×C89—21no—
110C4×D4×C89—41no—
111#117×C89—21no—
112#117×C89—41no—
113#117×C89C2311yescharacteristic
114#117×C89C2311yescharacteristic
115#117×C89C2311yescharacteristic
116C2×C4⋊C4×C89—21no—
117C2×C4⋊C4×C89—41no—
118C2×C4⋊C4×C89C2311yescharacteristic
119C2×C22⋊C4×C89—41no—
120C2×C22⋊C4×C89—41no—
121C2×C42×C89C2311yescharacteristic
122#108×C89—41no—
123#107×C89—21no—
124#107×C89—21no—
125#107×C89D411yescharacteristic
126#107×C89D411yescharacteristic
127#106×C89—21no—
128#106×C89—21no—
129#106×C89D411yescharacteristic
130#106×C89D411yescharacteristic
131C4⋊C8×C89—21no—
132C4⋊C8×C89—21no—
133#104×C89—41no—
134#103×C89—21no—
135#103×C89—21no—
136#103×C89—21no—
137#103×C89—21no—
138#103×C89—21no—
139#103×C89—21no—
140#103×C89—21no—
141#103×C89—21no—
142#103×C89—21no—
143#103×C89—21no—
144#103×C89D411yescharacteristic
145#103×C89D411yescharacteristic
146#102×C89—21no—
147#102×C89—21no—
148#102×C89D411yescharacteristic
149#102×C89D411yescharacteristic
150#101×C89—22no—
151#101×C89—41no—
152#100×C89—22no—
153C22⋊C8×C89—21no—
154C22⋊C8×C89—21no—
155#97×C89—21no—
156#97×C89—21no—
157C4×C8×C89—21no—
158C4×C8×C89—21no—
159C24×C89—21no—
160#41×C89—21no—
161#41×C89—21no—
162#41×C89—21no—
163#41×C89—21no—
164C2×Q8×C89—21no—
165C2×Q8×C89—21no—
166C2×Q8×C89—21no—
167C2×Q8×C89—21no—
168C2×Q8×C89—21no—
169C2×Q8×C89—21no—
170C2×Q8×C89—21no—
171C2×Q8×C89—21no—
172C2×Q8×C89—21no—
173C2×Q8×C89—21no—
174C2×Q8×C89—21no—
175C2×Q8×C89C2×D411yescharacteristic
176C2×Q8×C89#4112yes—
177C2×D4×C89—21no—
178C2×D4×C89—21no—
179C2×D4×C89—21no—
180C2×D4×C89—21no—
181C2×D4×C89—21no—
182C2×D4×C89—21no—
183C2×D4×C89C2×D411yescharacteristic
184C2×D4×C89#4112yes—
185C22×C4×C89—21no—
186C22×C4×C89—21no—
187C22×C4×C89—21no—
188C22×C4×C89—21no—
189C22×C4×C89—21no—
190C22×C4×C89—41no—
191C22×C4×C89—41no—
192C22×C4×C89—41no—
193C22×C4×C89C2411yescharacteristic
194Q16×C89—24no—
195SD16×C89—24no—
196SD16×C89—24no—
197SD16×C89—24no—
198SD16×C89—42no—
199SD16×C89—42no—
200SD16×C89—42no—
201D8×C89—42no—
202M16×C89—21no—
203M16×C89—21no—
204M16×C89—21no—
205M16×C89—21no—
206M16×C89—21no—
207M16×C89—21no—
208M16×C89—21no—
209M16×C89#4112yes—
210C2×C8×C89—21no—
211C2×C8×C89—21no—
212C2×C8×C89—21no—
213C2×C8×C89—21no—
214C2×C8×C89—21no—
215C2×C8×C89—21no—
216C2×C8×C89—21no—
217C2×C8×C89—21no—
218C2×C8×C89C2×D411yescharacteristic
219C2×C8×C89C2×D411yescharacteristic
220C2×C8×C89C2×D411yescharacteristic
221C2×C8×C89C2×D411yescharacteristic
222C4⋊C4×C89—21no—
223C4⋊C4×C89—21no—
224C4⋊C4×C89—41no—
225C4⋊C4×C89—41no—
226C4⋊C4×C89—41no—
227C4⋊C4×C89—41no—
228C4⋊C4×C89—41no—
229C4⋊C4×C89—44no—
230C4⋊C4×C89C2×D411yescharacteristic
231C4⋊C4×C89C2×D411yescharacteristic
232C4⋊C4×C89C2×D411yescharacteristic
233C4⋊C4×C89C2×D411yescharacteristic
234C4⋊C4×C89C2×D411yescharacteristic
235C4⋊C4×C89C2×D411yescharacteristic
236C22⋊C4×C89—21no—
237C22⋊C4×C89—21no—
238C22⋊C4×C89—21no—
239C22⋊C4×C89—41no—
240C22⋊C4×C89—41no—
241C22⋊C4×C89—41no—
242C22⋊C4×C89—41no—
243C22⋊C4×C89—41no—
244C22⋊C4×C89—82no—
245C42×C89—21no—
246C42×C89—21no—
247C42×C89—21no—
248C42×C89—21no—
249C42×C89—21no—
250C42×C89—41no—
251C42×C89—41no—
252C42×C89—41no—
253C23×C89—21no—
254C23×C89—22no—
255C23×C89—41no—
256C23×C89—41no—
257C23×C89—81no—
258C23×C89—81no—
259C23×C89H(5,𝔽2)11yescharacteristic
260Q8×C89—22no—
261Q8×C89—22no—
262Q8×C89—21no—
263Q8×C89—21no—
264Q8×C89—41no—
265Q8×C89—41no—
266Q8×C89—41no—
267Q8×C89—41no—
268Q8×C89—41no—
269Q8×C89—41no—
270D4×C89—22no—
271D4×C89—21no—
272D4×C89—21no—
273D4×C89—22no—
274D4×C89—41no—
275D4×C89—41no—
276D4×C89—41no—
277D4×C89—41no—
278C2×C4×C89—22no—
279C2×C4×C89—22no—
280C2×C4×C89—21no—
281C2×C4×C89—21no—
282C2×C4×C89—21no—
283C2×C4×C89—21no—
284C2×C4×C89—21no—
285C2×C4×C89—21no—
286C2×C4×C89—21no—
287C2×C4×C89—41no—
288C2×C4×C89—41no—
289C2×C4×C89—41no—
290C2×C4×C89—41no—
291C2×C4×C89—41no—
292C2×C4×C89—41no—
293C2×C4×C89—41no—
294C2×C4×C89—41no—
295C2×C4×C89—41no—
296C2×C4×C89—41no—
297C2×C4×C89—81no—
298C2×C4×C89—161no—
299C2×C4×C89—161no—
300C2×C4×C89—161no—
301C2×C4×C89C22×D411yescharacteristic
302C2×C4×C89C22×D411yescharacteristic
303C2×C4×C89C2×#4111yescharacteristic
304C2×C4×C89C2×#4111yescharacteristic
305C2×C4×C89C2×#4111yescharacteristic
306C2×C4×C89H(5,𝔽2)11yescharacteristic
307C8×C89—21no—
308C8×C89—21no—
309C8×C89—22no—
310C8×C89—21no—
311C8×C89—21no—
312C8×C89—41no—
313C8×C89—41no—
314C8×C89—41no—
315C22×C89—21no—
316C22×C89—21no—
317C22×C89—41no—
318C22×C89—42no—
319C22×C89—41no—
320C22×C89—41no—
321C22×C89—82no—
322C22×C89—81no—
323C22×C89—81no—
324C22×C89—161no—
325C22×C89#53811yescharacteristic
326C22×C89D4211yescharacteristic
327C22×C89#55311yescharacteristic
328C4×C89—42no—
329C4×C89—41no—
330C4×C89—42no—
331C4×C89—41no—
332C4×C89—41no—
333C4×C89—41no—
334C4×C89—41no—
335C4×C89—41no—
336C4×C89—41no—
337C4×C89—81no—
338C4×C89—81no—
339C4×C89#52511yescharacteristic
340C4×C89#52511yescharacteristic
341C4×C89#54611yescharacteristic
342C4×C89#55011yescharacteristic
343#26654C8911yesmaximal, characteristic, direct product factor, Sylow
344C2×C89—21no—
345C2×C89—21no—
346C2×C89—81no—
347C2×C89—82no—
348C2×C89#245611yescharacteristic
349C2×C89#328911yescharacteristic
350C2×C89#329111yescharacteristic
351#3097C2×C8911yescharacteristic, complemented
352#3042C2×C8911yescharacteristic
353#2949C2×C8911yescharacteristic, complemented
354#2947C2×C8911yescharacteristic, complemented
355#2064C2×C8911yescharacteristic, complemented
356#2019C2×C8911yescharacteristic
357#2013C2×C8911yescharacteristic, complemented
358#2005C2×C8911yescharacteristic, complemented
359#1977C2×C8911yescharacteristic, complemented
360#1930C2×C8911yescharacteristic, complemented
361#1929C2×C8911yescharacteristic, complemented
362#1922C2×C8911yescharacteristic, complemented
363#1886C2×C8911yescharacteristic, complemented
364#1883C2×C8911yescharacteristic
365#1856C2×C8911yescharacteristic, complemented
366C89#2665411yescharacteristic, direct product factor, Sylow
367C2×#137C22×C8911yescharacteristic
368C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
369C22×SD16C22×C8911yescharacteristic
370C22×SD16C22×C8911yescharacteristic
371#536C22×C8911yescharacteristic
372C2×C4⋊Q8C22×C8911yescharacteristic
373#520C22×C8911yescharacteristic
374#519C22×C8911yescharacteristic
375#518C22×C8911yescharacteristic
376#485—21no—
377#485—21no—
378#484—21no—
379#483—21no—
380#463—21no—
381#463—21no—
382#461—21no—
383#461—21no—
384#441—21no—
385#440—21no—
386#440—21no—
387#440—21no—
388C4×Q16—21no—
389C4×SD16—21no—
390C4×SD16—21no—
391C4×SD16—21no—
392C2×#108C22×C8911yescharacteristic
393#428C22×C8911yescharacteristic
394#428C22×C8911yescharacteristic
395#427C22×C8911yescharacteristic
396#424C22×C8911yescharacteristic
397C2×#104C22×C8911yescharacteristic
398#419C22×C8911yescharacteristic
399#419C22×C8911yescharacteristic
400#419C22×C8911yescharacteristic
401#418C22×C8911yescharacteristic
402#416C22×C8911yescharacteristic
403C2×#103C22×C8911yescharacteristic
404C2×#103C22×C8911yescharacteristic
405C2×#101C22×C8911yescharacteristic
406C2×#101C22×C8911yescharacteristic
407C2×#100C22×C8911yescharacteristic
408#408C22×C8911yescharacteristic
409#405C22×C8911yescharacteristic
410#405C22×C8911yescharacteristic
411#390C22×C8911yescharacteristic
412#343C22×C8911yescharacteristic
413#341C22×C8911yescharacteristic
414#339C22×C8911yescharacteristic
415#339C22×C8911yescharacteristic
416#339C22×C8911yescharacteristic
417#336C22×C8911yescharacteristic
418C2×#41C23×C8911yescharacteristic
419C22×Q8C23×C8911yescharacteristic
420C22×Q8C23×C8911yescharacteristic
421C22×D4C23×C8911yescharacteristic
422#137—22no—
423#137—22no—
424AGL(1,ℤ/8)—22no—
425AGL(1,ℤ/8)—41no—
426C2×Q16—21no—
427C2×SD16—22no—
428C2×SD16—21no—
429C2×SD16—22no—
430C2×SD16—21no—
431C2×SD16—22no—
432C2×SD16—21no—
433C2×SD16—21no—
434C2×SD16—21no—
435C2×SD16—21no—
436C2×SD16—41no—
437C2×D8—21no—
438C2×M16C23×C8911yescharacteristic
439C2×M16C23×C8911yescharacteristic
440C2×M16C23×C8911yescharacteristic
441C2×M16C23×C8911yescharacteristic
442C22×C8C23×C8911yescharacteristic
443C22×C8C23×C8911yescharacteristic
444C4⋊Q8—21no—
445C4⋊Q8—22no—
446C4⋊Q8—41no—
447#124—21no—
448#123—41no—
449C22⋊Q8—21no—
450C22⋊Q8—21no—
451C4×Q8—21no—
452C4×Q8—21no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×D4—21no—
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—41no—
462#117—21no—
463#117—41no—
464#117C23×C8911yescharacteristic
465#117C23×C8911yescharacteristic
466#117C23×C8911yescharacteristic
467C2×C4⋊C4—21no—
468C2×C4⋊C4—41no—
469C2×C4⋊C4C23×C8911yescharacteristic
470C2×C22⋊C4—41no—
471C2×C22⋊C4—41no—
472C2×C42C23×C8911yescharacteristic
473#108—41no—
474#107—21no—
475#107—21no—
476#107D4×C8911yescharacteristic
477#107D4×C8911yescharacteristic
478#106—21no—
479#106—21no—
480#106D4×C8911yescharacteristic
481#106D4×C8911yescharacteristic
482C4⋊C8—21no—
483C4⋊C8—21no—
484#104—41no—
485#103—21no—
486#103—21no—
487#103—21no—
488#103—21no—
489#103—21no—
490#103—21no—
491#103—21no—
492#103—21no—
493#103—21no—
494#103—21no—
495#103D4×C8911yescharacteristic
496#103D4×C8911yescharacteristic
497#102—21no—
498#102—21no—
499#102D4×C8911yescharacteristic
500#102D4×C8911yescharacteristic
501#101—22no—
502#101—41no—
503#100—22no—
504C22⋊C8—21no—
505C22⋊C8—21no—
506#97—21no—
507#97—21no—
508C4×C8—21no—
509C4×C8—21no—
510C24—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8C2×D4×C8911yescharacteristic
527C2×Q8#41×C8912yes—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4C2×D4×C8911yescharacteristic
535C2×D4#41×C8912yes—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4—41no—
544C22×C4C24×C8911yescharacteristic
545Q16—24no—
546SD16—24no—
547SD16—24no—
548SD16—24no—
549SD16—42no—
550SD16—42no—
551SD16—42no—
552D8—42no—
553M16—21no—
554M16—21no—
555M16—21no—
556M16—21no—
557M16—21no—
558M16—21no—
559M16—21no—
560M16#41×C8912yes—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8C2×D4×C8911yescharacteristic
570C2×C8C2×D4×C8911yescharacteristic
571C2×C8C2×D4×C8911yescharacteristic
572C2×C8C2×D4×C8911yescharacteristic
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4—44no—
581C4⋊C4C2×D4×C8911yescharacteristic
582C4⋊C4C2×D4×C8911yescharacteristic
583C4⋊C4C2×D4×C8911yescharacteristic
584C4⋊C4C2×D4×C8911yescharacteristic
585C4⋊C4C2×D4×C8911yescharacteristic
586C4⋊C4C2×D4×C8911yescharacteristic
587C22⋊C4—21no—
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—82no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—41no—
602C42—41no—
603C42—41no—
604C23—21no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—81no—
609C23—81no—
610C23H(5,𝔽2)×C8911yescharacteristic
611Q8—22no—
612Q8—22no—
613Q8—21no—
614Q8—21no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—22no—
622D4—21no—
623D4—21no—
624D4—22no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—81no—
649C2×C4—161no—
650C2×C4—161no—
651C2×C4—161no—
652C2×C4C22×D4×C8911yescharacteristic
653C2×C4C22×D4×C8911yescharacteristic
654C2×C4C2×#41×C8911yescharacteristic
655C2×C4C2×#41×C8911yescharacteristic
656C2×C4C2×#41×C8911yescharacteristic
657C2×C4H(5,𝔽2)×C8911yescharacteristic
658C8—21no—
659C8—21no—
660C8—22no—
661C8—21no—
662C8—21no—
663C8—41no—
664C8—41no—
665C8—41no—
666C22—21no—
667C22—21no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—41no—
672C22—82no—
673C22—81no—
674C22—81no—
675C22—161no—
676C22#538×C8911yescharacteristic
677C22D42×C8911yescharacteristic
678C22#553×C8911yescharacteristic
679C4—42no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—81no—
689C4—81no—
690C4#525×C8911yescharacteristic
691C4#525×C8911yescharacteristic
692C4#546×C8911yescharacteristic
693C4#550×C8911yescharacteristic
694C2—21no—
695C2—21no—
696C2—81no—
697C2—82no—
698C2C89×#245611yescharacteristic
699C2C89×#328911yescharacteristic
700C2C89×#329111yescharacteristic
subgroupG/H
center, socleC22×C89D42
commutator, Frattini, cosocleC22×C4C24×C89
prime radicalC2×AGL(1,ℤ/8)×C89C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C22×C4×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3097C2semidirect
3. C89×#2949C2semidirect
4. C89×#2947C2semidirect
5. C89×#2064C2semidirect
7. C89×#2013C2semidirect
8. C89×#2005C2semidirect
9. C89×#1977C2semidirect
10. C89×#1930C2semidirect
11. C89×#1929C2semidirect
12. C89×#1922C2semidirect
13. C89×#1886C2semidirect
15. C89×#1856C2semidirect
343. #26654C89direct (N × H)
351. #3097C2×C89semidirect
353. #2949C2×C89semidirect
354. #2947C2×C89semidirect
355. #2064C2×C89semidirect
357. #2013C2×C89semidirect
358. #2005C2×C89semidirect
359. #1977C2×C89semidirect
360. #1930C2×C89semidirect
361. #1929C2×C89semidirect
362. #1922C2×C89semidirect
363. #1886C2×C89semidirect
365. #1856C2×C89semidirect
366. C89#26654direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#30972
C89×#30422
C89×#29492
C89×#29472
C89×#20642
C89×#20192
C89×#20132
C89×#20052
C89×#19772
C89×#19302
C89×#19292
C89×#19222
C89×#18862
C89×#18832
C89×#18562
#2665489