Finite Group Databasebeta

← C89×#25268 #36403116

Subgroups — C89×#25268 #36403116

Order 22784.

750 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3092C211yesmaximal, characteristic
2C2×#483×C89C211yesmaximal, characteristic, complemented
3C89×#3056C211yesmaximal, characteristic
4C89×#2933C211yesmaximal, characteristic
5C89×#2090C211yesmaximal, characteristic, complemented
6C89×#2079C211yesmaximal, characteristic, complemented
7C89×#2064C211yesmaximal, characteristic, complemented
8C89×#2052C211yesmaximal, characteristic, complemented
9C89×#1951C211yesmaximal, characteristic, complemented
10C89×#1930C211yesmaximal, characteristic, complemented
11C89×#1908C211yesmaximal, characteristic, complemented
12C89×#1901C211yesmaximal, characteristic, complemented
13C89×#1855C211yesmaximal, characteristic, complemented
14C89×#1815C211yesmaximal, characteristic, complemented
15C2×#343×C89C211yesmaximal, characteristic, complemented
16C2×#137×C89C2211yescharacteristic
17C2×#131×C89C2211yescharacteristic
18C22×M16×C89C2211yescharacteristic
19C22×M16×C89C2211yescharacteristic
20#525×C89C2211yescharacteristic
21C2×C22⋊Q8×C89C2211yescharacteristic
22C22×C4⋊C4×C89C2211yescharacteristic
23#484×C89—21no—
24#483×C89—21no—
25#483×C89—21no—
26#483×C89—21no—
27#483×C89—21no—
28#483×C89—21no—
29#481×C89—21no—
30#480×C89—21no—
31#470×C89—21no—
32#468×C89—21no—
33#467×C89—21no—
34#465×C89—21no—
35#436×C89—21no—
36#435×C89—21no—
37#435×C89—21no—
38C8×D4×C89—21no—
39C2×#108×C89C2211yescharacteristic
40C2×#108×C89C2211yescharacteristic
41#428×C89C2211yescharacteristic
42#428×C89C2211yescharacteristic
43#428×C89C2211yescharacteristic
44C2×#106×C89C2211yescharacteristic
45C2×#106×C89C2211yescharacteristic
46#424×C89C2211yescharacteristic
47#419×C89C2211yescharacteristic
48#417×C89C2211yescharacteristic
49#417×C89C2211yescharacteristic
50#417×C89C2211yescharacteristic
51C2×#103×C89C2211yescharacteristic
52C2×#103×C89C2211yescharacteristic
53C2×#101×C89C2211yescharacteristic
54C2×#101×C89C2211yescharacteristic
55#408×C89C2211yescharacteristic
56#407×C89C2211yescharacteristic
57C2×C22⋊C8×C89C2211yescharacteristic
58#405×C89C2211yescharacteristic
59#343×C89C2211yescharacteristic
60#343×C89C2211yescharacteristic
61#343×C89C2211yescharacteristic
62#343×C89C2211yescharacteristic
63#343×C89C2211yescharacteristic
64#343×C89C2211yescharacteristic
65#341×C89C2211yescharacteristic
66#341×C89C2211yescharacteristic
67C2×#41×C89C2311yescharacteristic
68C22×Q8×C89C2311yescharacteristic
69C23×C4×C89—21no—
70C23×C4×C89C2311yescharacteristic
71#137×C89—22no—
72#137×C89—41no—
73C2×Q16×C89—21no—
74C2×SD16×C89—21no—
75#131×C89—22no—
76#131×C89—41no—
77C2×M16×C89—21no—
78C2×M16×C89—21no—
79C2×M16×C89—21no—
80C2×M16×C89—22no—
81C2×M16×C89—22no—
82C2×M16×C89—41no—
83C2×M16×C89—41no—
84C2×M16×C89C2311yescharacteristic
85C2×M16×C89C2311yescharacteristic
86C2×M16×C89C2311yescharacteristic
87C2×M16×C89C2311yescharacteristic
88C2×M16×C89C2311yescharacteristic
89C2×M16×C89C2311yescharacteristic
90C22×C8×C89—21no—
91C22×C8×C89—21no—
92C22×C8×C89—21no—
93C22×C8×C89C2311yescharacteristic
94C22×C8×C89C2311yescharacteristic
95#123×C89—21no—
96C22⋊Q8×C89—21no—
97C22⋊Q8×C89—21no—
98C22⋊Q8×C89—21no—
99C22⋊Q8×C89—21no—
100C22⋊Q8×C89D411yescharacteristic
101C22⋊Q8×C89D411yescharacteristic
102#121×C89D411yescharacteristic
103#121×C89D411yescharacteristic
104#120×C89—21no—
105C4×D4×C89—21no—
106C4×D4×C89—21no—
107#117×C89C2311yescharacteristic
108C2×C4⋊C4×C89—21no—
109C2×C4⋊C4×C89—21no—
110C2×C4⋊C4×C89—21no—
111C2×C4⋊C4×C89—21no—
112C2×C4⋊C4×C89—21no—
113C2×C4⋊C4×C89—21no—
114C2×C4⋊C4×C89C2311yescharacteristic
115C2×C4⋊C4×C89C2311yescharacteristic
116C2×C4⋊C4×C89C2311yescharacteristic
117C2×C22⋊C4×C89—21no—
118#108×C89—22no—
119#108×C89—41no—
120#107×C89—21no—
121#107×C89—21no—
122#107×C89—21no—
123#106×C89—21no—
124#106×C89—21no—
125#106×C89—21no—
126#106×C89—21no—
127#106×C89—21no—
128#106×C89—21no—
129#106×C89—21no—
130C4⋊C8×C89—21no—
131C4⋊C8×C89—21no—
132#103×C89—21no—
133#103×C89—21no—
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#102×C89—21no—
142#102×C89—21no—
143#102×C89—21no—
144#101×C89—22no—
145#101×C89—41no—
146C22⋊C8×C89—21no—
147C22⋊C8×C89—21no—
148C22⋊C8×C89—21no—
149C22⋊C8×C89—21no—
150C22⋊C8×C89D411yescharacteristic
151C22⋊C8×C89D411yescharacteristic
152C22⋊C8×C89D411yescharacteristic
153C22⋊C8×C89D411yescharacteristic
154#97×C89—21no—
155C4×C8×C89—21no—
156C24×C89#4111yescharacteristic
157#41×C89—21no—
158#41×C89—21no—
159#41×C89—21no—
160#41×C89—21no—
161C2×Q8×C89—21no—
162C2×Q8×C89—21no—
163C2×Q8×C89—21no—
164C2×Q8×C89—21no—
165C2×Q8×C89—21no—
166C2×Q8×C89—21no—
167C2×Q8×C89C2×D411yescharacteristic
168C2×D4×C89—21no—
169C2×D4×C89—21no—
170C2×D4×C89—21no—
171C2×D4×C89C2×D411yescharacteristic
172C22×C4×C89—21no—
173C22×C4×C89—21no—
174C22×C4×C89—21no—
175C22×C4×C89—21no—
176C22×C4×C89—21no—
177C22×C4×C89—21no—
178C22×C4×C89—21no—
179C22×C4×C89—21no—
180C22×C4×C89—21no—
181C22×C4×C89—41no—
182C22×C4×C89—41no—
183C22×C4×C89—82no—
184C22×C4×C89C2×D411yescharacteristic
185C22×C4×C89C2×D411yescharacteristic
186C22×C4×C89C2×D411yescharacteristic
187C22×C4×C89C2×D411yescharacteristic
188C22×C4×C89#4111yescharacteristic
189C22×C4×C89C2411yescharacteristic
190Q16×C89—42no—
191SD16×C89—42no—
192M16×C89—21no—
193M16×C89—21no—
194M16×C89—21no—
195M16×C89—21no—
196M16×C89—21no—
197M16×C89—21no—
198M16×C89—21no—
199M16×C89—21no—
200M16×C89—21no—
201M16×C89—21no—
202M16×C89—42no—
203M16×C89—42no—
204M16×C89—42no—
205M16×C89#4112yes—
206M16×C89#4112yes—
207C2×C8×C89—21no—
208C2×C8×C89—21no—
209C2×C8×C89—21no—
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—42no—
218C2×C8×C89—42no—
219C2×C8×C89—42no—
220C2×C8×C89C2×D411yescharacteristic
221C2×C8×C89C2×D411yescharacteristic
222C2×C8×C89C2×D411yescharacteristic
223C2×C8×C89C2×D411yescharacteristic
224C4⋊C4×C89—21no—
225C4⋊C4×C89—21no—
226C4⋊C4×C89—21no—
227C4⋊C4×C89—21no—
228C4⋊C4×C89—21no—
229C4⋊C4×C89—21no—
230C4⋊C4×C89—21no—
231C4⋊C4×C89—21no—
232C4⋊C4×C89—41no—
233C4⋊C4×C89—41no—
234C4⋊C4×C89—41no—
235C4⋊C4×C89—41no—
236C4⋊C4×C89C2×D411yescharacteristic
237C4⋊C4×C89C2×D411yescharacteristic
238C22⋊C4×C89—21no—
239C22⋊C4×C89—21no—
240C22⋊C4×C89—21no—
241C22⋊C4×C89—21no—
242C22⋊C4×C89—21no—
243C22⋊C4×C89—41no—
244C22⋊C4×C89—41no—
245C42×C89—21no—
246C23×C89—21no—
247C23×C89—21no—
248C23×C89—22no—
249C23×C89—21no—
250C23×C89—41no—
251C23×C89#12111yescharacteristic
252C23×C89#12111yescharacteristic
253C23×C89C2×#4111yescharacteristic
254Q8×C89—21no—
255Q8×C89—21no—
256Q8×C89—41no—
257Q8×C89—41no—
258Q8×C89—41no—
259Q8×C89—41no—
260D4×C89—21no—
261D4×C89—21no—
262D4×C89—41no—
263D4×C89—41no—
264D4×C89—42no—
265D4×C89—81no—
266C2×C4×C89—21no—
267C2×C4×C89—21no—
268C2×C4×C89—21no—
269C2×C4×C89—21no—
270C2×C4×C89—21no—
271C2×C4×C89—21no—
272C2×C4×C89—21no—
273C2×C4×C89—21no—
274C2×C4×C89—21no—
275C2×C4×C89—21no—
276C2×C4×C89—21no—
277C2×C4×C89—21no—
278C2×C4×C89—21no—
279C2×C4×C89—41no—
280C2×C4×C89—41no—
281C2×C4×C89—41no—
282C2×C4×C89—41no—
283C2×C4×C89—41no—
284C2×C4×C89—41no—
285C2×C4×C89—41no—
286C2×C4×C89—41no—
287C2×C4×C89—82no—
288C2×C4×C89—82no—
289C2×C4×C89—81no—
290C2×C4×C89—81no—
291C2×C4×C89—81no—
292C2×C4×C89#12111yescharacteristic
293C2×C4×C89#12111yescharacteristic
294C2×C4×C89C22×D411yescharacteristic
295C2×C4×C89C22×D411yescharacteristic
296C2×C4×C89C2×#4111yescharacteristic
297C2×C4×C89C2×#4111yescharacteristic
298C2×C4×C89H(5,𝔽2)11yescharacteristic
299C2×C4×C892−1+411yescharacteristic
300C8×C89—21no—
301C8×C89—21no—
302C8×C89—22no—
303C8×C89—22no—
304C8×C89—21no—
305C8×C89—21no—
306C8×C89—41no—
307C8×C89—41no—
308C8×C89—41no—
309C8×C89—41no—
310C22×C89—21no—
311C22×C89—21no—
312C22×C89—21no—
313C22×C89—21no—
314C22×C89—21no—
315C22×C89—21no—
316C22×C89—21no—
317C22×C89—42no—
318C22×C89—42no—
319C22×C89—41no—
320C22×C89—41no—
321C22×C89—41no—
322C22×C89#47112yes—
323C22×C89C2×#12111yescharacteristic
324C22×C89#52911yescharacteristic
325C22×C89#53911yescharacteristic
326C4×C89—21no—
327C4×C89—21no—
328C4×C89—41no—
329C4×C89—41no—
330C4×C89—41no—
331C4×C89—81no—
332C4×C89—81no—
333C4×C89—81no—
334C4×C89—81no—
335C4×C89#54611yescharacteristic
336C4×C89#54611yescharacteristic
337C4×C89#54711yescharacteristic
338C4×C89#54711yescharacteristic
339#25268C8911yesmaximal, characteristic, direct product factor, Sylow
340C2×C89—21no—
341C2×C89—21no—
342C2×C89—22no—
343C2×C89—41no—
344C2×C89—81no—
345C2×C89#242511yescharacteristic
346C2×C89C2×#47111yescharacteristic
347C2×C89#306911yescharacteristic
348#3092C2×C8911yescharacteristic
349C2×#483C2×C8911yescharacteristic, complemented
350#3056C2×C8911yescharacteristic
351#2933C2×C8911yescharacteristic
352#2090C2×C8911yescharacteristic, complemented
353#2079C2×C8911yescharacteristic, complemented
354#2064C2×C8911yescharacteristic, complemented
355#2052C2×C8911yescharacteristic, complemented
356#1951C2×C8911yescharacteristic, complemented
357#1930C2×C8911yescharacteristic, complemented
358#1908C2×C8911yescharacteristic, complemented
359#1901C2×C8911yescharacteristic, complemented
360#1855C2×C8911yescharacteristic, complemented
361#1815C2×C8911yescharacteristic, complemented
362C2×#343C2×C8911yescharacteristic, complemented
363C89#2526811yescharacteristic, direct product factor, Sylow
364C2×#137C22×C8911yescharacteristic
365C2×#131C22×C8911yescharacteristic
366C22×M16C22×C8911yescharacteristic
367C22×M16C22×C8911yescharacteristic
368#525C22×C8911yescharacteristic
369C2×C22⋊Q8C22×C8911yescharacteristic
370C22×C4⋊C4C22×C8911yescharacteristic
371#484—21no—
372#483—21no—
373#483—21no—
374#483—21no—
375#483—21no—
376#483—21no—
377#481—21no—
378#480—21no—
379#470—21no—
380#468—21no—
381#467—21no—
382#465—21no—
383#436—21no—
384#435—21no—
385#435—21no—
386C8×D4—21no—
387C2×#108C22×C8911yescharacteristic
388C2×#108C22×C8911yescharacteristic
389#428C22×C8911yescharacteristic
390#428C22×C8911yescharacteristic
391#428C22×C8911yescharacteristic
392C2×#106C22×C8911yescharacteristic
393C2×#106C22×C8911yescharacteristic
394#424C22×C8911yescharacteristic
395#419C22×C8911yescharacteristic
396#417C22×C8911yescharacteristic
397#417C22×C8911yescharacteristic
398#417C22×C8911yescharacteristic
399C2×#103C22×C8911yescharacteristic
400C2×#103C22×C8911yescharacteristic
401C2×#101C22×C8911yescharacteristic
402C2×#101C22×C8911yescharacteristic
403#408C22×C8911yescharacteristic
404#407C22×C8911yescharacteristic
405C2×C22⋊C8C22×C8911yescharacteristic
406#405C22×C8911yescharacteristic
407#343C22×C8911yescharacteristic
408#343C22×C8911yescharacteristic
409#343C22×C8911yescharacteristic
410#343C22×C8911yescharacteristic
411#343C22×C8911yescharacteristic
412#343C22×C8911yescharacteristic
413#341C22×C8911yescharacteristic
414#341C22×C8911yescharacteristic
415C2×#41C23×C8911yescharacteristic
416C22×Q8C23×C8911yescharacteristic
417C23×C4—21no—
418C23×C4C23×C8911yescharacteristic
419#137—22no—
420#137—41no—
421C2×Q16—21no—
422C2×SD16—21no—
423#131—22no—
424#131—41no—
425C2×M16—21no—
426C2×M16—21no—
427C2×M16—21no—
428C2×M16—22no—
429C2×M16—22no—
430C2×M16—41no—
431C2×M16—41no—
432C2×M16C23×C8911yescharacteristic
433C2×M16C23×C8911yescharacteristic
434C2×M16C23×C8911yescharacteristic
435C2×M16C23×C8911yescharacteristic
436C2×M16C23×C8911yescharacteristic
437C2×M16C23×C8911yescharacteristic
438C22×C8—21no—
439C22×C8—21no—
440C22×C8—21no—
441C22×C8C23×C8911yescharacteristic
442C22×C8C23×C8911yescharacteristic
443#123—21no—
444C22⋊Q8—21no—
445C22⋊Q8—21no—
446C22⋊Q8—21no—
447C22⋊Q8—21no—
448C22⋊Q8D4×C8911yescharacteristic
449C22⋊Q8D4×C8911yescharacteristic
450#121D4×C8911yescharacteristic
451#121D4×C8911yescharacteristic
452#120—21no—
453C4×D4—21no—
454C4×D4—21no—
455#117C23×C8911yescharacteristic
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4C23×C8911yescharacteristic
463C2×C4⋊C4C23×C8911yescharacteristic
464C2×C4⋊C4C23×C8911yescharacteristic
465C2×C22⋊C4—21no—
466#108—22no—
467#108—41no—
468#107—21no—
469#107—21no—
470#107—21no—
471#106—21no—
472#106—21no—
473#106—21no—
474#106—21no—
475#106—21no—
476#106—21no—
477#106—21no—
478C4⋊C8—21no—
479C4⋊C8—21no—
480#103—21no—
481#103—21no—
482#103—21no—
483#103—21no—
484#103—21no—
485#103—21no—
486#103—21no—
487#103—21no—
488#103—21no—
489#102—21no—
490#102—21no—
491#102—21no—
492#101—22no—
493#101—41no—
494C22⋊C8—21no—
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8D4×C8911yescharacteristic
499C22⋊C8D4×C8911yescharacteristic
500C22⋊C8D4×C8911yescharacteristic
501C22⋊C8D4×C8911yescharacteristic
502#97—21no—
503C4×C8—21no—
504C24#41×C8911yescharacteristic
505#41—21no—
506#41—21no—
507#41—21no—
508#41—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8C2×D4×C8911yescharacteristic
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4C2×D4×C8911yescharacteristic
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—82no—
532C22×C4C2×D4×C8911yescharacteristic
533C22×C4C2×D4×C8911yescharacteristic
534C22×C4C2×D4×C8911yescharacteristic
535C22×C4C2×D4×C8911yescharacteristic
536C22×C4#41×C8911yescharacteristic
537C22×C4C24×C8911yescharacteristic
538Q16—42no—
539SD16—42no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16—21no—
544M16—21no—
545M16—21no—
546M16—21no—
547M16—21no—
548M16—21no—
549M16—21no—
550M16—42no—
551M16—42no—
552M16—42no—
553M16#41×C8912yes—
554M16#41×C8912yes—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—42no—
566C2×C8—42no—
567C2×C8—42no—
568C2×C8C2×D4×C8911yescharacteristic
569C2×C8C2×D4×C8911yescharacteristic
570C2×C8C2×D4×C8911yescharacteristic
571C2×C8C2×D4×C8911yescharacteristic
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—41no—
581C4⋊C4—41no—
582C4⋊C4—41no—
583C4⋊C4—41no—
584C4⋊C4C2×D4×C8911yescharacteristic
585C4⋊C4C2×D4×C8911yescharacteristic
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—21no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C42—21no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23#121×C8911yescharacteristic
600C23#121×C8911yescharacteristic
601C23C2×#41×C8911yescharacteristic
602Q8—21no—
603Q8—21no—
604Q8—41no—
605Q8—41no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—42no—
611D4—41no—
612D4—41no—
613D4—81no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—81no—
640C2×C4#121×C8911yescharacteristic
641C2×C4#121×C8911yescharacteristic
642C2×C4C22×D4×C8911yescharacteristic
643C2×C4C22×D4×C8911yescharacteristic
644C2×C4C2×#41×C8911yescharacteristic
645C2×C4C2×#41×C8911yescharacteristic
646C2×C4H(5,𝔽2)×C8911yescharacteristic
647C2×C42−1+4×C8911yescharacteristic
648C8—21no—
649C8—21no—
650C8—22no—
651C8—22no—
652C8—21no—
653C8—21no—
654C8—41no—
655C8—41no—
656C8—41no—
657C8—41no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—42no—
666C22—42no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22#471×C8912yes—
671C22C2×#121×C8911yescharacteristic
672C22#529×C8911yescharacteristic
673C22#539×C8911yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—81no—
682C4—81no—
683C4#546×C8911yescharacteristic
684C4#546×C8911yescharacteristic
685C4#547×C8911yescharacteristic
686C4#547×C8911yescharacteristic
687C2—22no—
688C2—21no—
689C2—21no—
690C2—41no—
691C2—81no—
692C2C89×#242511yescharacteristic
693C2C2×#471×C8911yescharacteristic
694C2C89×#306911yescharacteristic
subgroupG/H
center, socleC22×C89C2×#121
commutator, Frattini, cosocleC22×C4C24×C89
prime radical#525×C89C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C23×C4×C89 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#483×C89C2semidirect
5. C89×#2090C2semidirect
6. C89×#2079C2semidirect
7. C89×#2064C2semidirect
8. C89×#2052C2semidirect
9. C89×#1951C2semidirect
10. C89×#1930C2semidirect
11. C89×#1908C2semidirect
12. C89×#1901C2semidirect
13. C89×#1855C2semidirect
14. C89×#1815C2semidirect
15. C2×#343×C89C2semidirect
339. #25268C89direct (N × H)
349. C2×#483C2×C89semidirect
352. #2090C2×C89semidirect
353. #2079C2×C89semidirect
354. #2064C2×C89semidirect
355. #2052C2×C89semidirect
356. #1951C2×C89semidirect
357. #1930C2×C89semidirect
358. #1908C2×C89semidirect
359. #1901C2×C89semidirect
360. #1855C2×C89semidirect
361. #1815C2×C89semidirect
362. C2×#343C2×C89semidirect
363. C89#25268direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#30922
C2×#483×C892
C89×#30562
C89×#29332
C89×#20902
C89×#20792
C89×#20642
C89×#20522
C89×#19512
C89×#19302
C89×#19082
C89×#19012
C89×#18552
C89×#18152
C2×#343×C892
#2526889