Finite Group Databasebeta

← C89×#32614 #36410462

Subgroups — C89×#32614 #36410462

Order 22784.

768 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#2592C211yesmaximal, characteristic, complemented
2C89×#2538C211yesmaximal, characteristic, complemented
3C89×#2096C211yesmaximal, characteristic, complemented
4C89×#2071C211yesmaximal, characteristic, complemented
5C89×#2065C211yesmaximal, characteristic, complemented
6C89×#2055C211yesmaximal, characteristic, complemented
7C89×#2042C211yesmaximal, characteristic, complemented
8C89×#2012C211yesmaximal, characteristic
9C89×#1985C211yesmaximal, characteristic, complemented
10C89×#1972C211yesmaximal, characteristic
11C89×#1935C211yesmaximal, characteristic, complemented
12C89×#1926C211yesmaximal, characteristic, complemented
13C89×#1920C211yesmaximal, characteristic, complemented
14C89×#1879C211yesmaximal, characteristic
15C89×#1877C211yesmaximal, characteristic, complemented
16C22×SD16×C89C2211yescharacteristic
17C22×D8×C89C2211yescharacteristic
18C2×#124×C89C2211yescharacteristic
19C2×C22⋊Q8×C89—21no—
20C2×C4×Q8×C89C2211yescharacteristic
21C2×C4×D4×C89C2211yescharacteristic
22C2×#106×C89C2211yescharacteristic
23C2×#106×C89C2211yescharacteristic
24C2×C4⋊C8×C89C2211yescharacteristic
25C2×#103×C89C2211yescharacteristic
26C2×#103×C89C2211yescharacteristic
27C2×#103×C89C2211yescharacteristic
28C2×#102×C89C2211yescharacteristic
29C2×#102×C89C2211yescharacteristic
30C2×#102×C89C2211yescharacteristic
31C2×#102×C89C2211yescharacteristic
32C2×#102×C89C2211yescharacteristic
33C2×#97×C89C2211yescharacteristic
34#397×C89—21no—
35#396×C89—21no—
36#396×C89—21no—
37#393×C89—21no—
38#391×C89C2211yescharacteristic
39#391×C89C2211yescharacteristic
40#390×C89C2211yescharacteristic
41#390×C89C2211yescharacteristic
42#390×C89C2211yescharacteristic
43#390×C89C2211yescharacteristic
44#389×C89C2211yescharacteristic
45#389×C89C2211yescharacteristic
46#388×C89—21no—
47#388×C89—21no—
48#384×C89C2211yescharacteristic
49#380×C89—21no—
50C4×C4⋊C4×C89C2211yescharacteristic
51#340×C89C2211yescharacteristic
52#340×C89C2211yescharacteristic
53#340×C89C2211yescharacteristic
54#340×C89C2211yescharacteristic
55#336×C89C2211yescharacteristic
56#336×C89C2211yescharacteristic
57#336×C89C2211yescharacteristic
58#336×C89C2211yescharacteristic
59C22×Q8×C89D411yescharacteristic
60C22×Q8×C89C2311yescharacteristic
61C22×D4×C89C2311yescharacteristic
62C22×D4×C89C2311yescharacteristic
63C23×C4×C89—21no—
64C2×SD16×C89—22no—
65C2×SD16×C89—41no—
66C2×SD16×C89—41no—
67C2×D8×C89—22no—
68C2×D8×C89—22no—
69C2×D8×C89—41no—
70C22×C8×C89C2311yescharacteristic
71C22×C8×C89C2311yescharacteristic
72C22×C8×C89C2311yescharacteristic
73C22×C8×C89C2311yescharacteristic
74#124×C89—41no—
75#124×C89—41no—
76C22⋊Q8×C89—44no—
77C4×Q8×C89—41no—
78C4×Q8×C89—41no—
79C4×D4×C89—41no—
80C4×D4×C89—41no—
81C2×C4⋊C4×C89—21no—
82C2×C4⋊C4×C89—21no—
83C2×C4⋊C4×C89—21no—
84C2×C4⋊C4×C89—21no—
85C2×C4⋊C4×C89D411yescharacteristic
86C2×C4⋊C4×C89D411yescharacteristic
87C2×C4⋊C4×C89D411yescharacteristic
88C2×C4⋊C4×C89C2311yescharacteristic
89C2×C4⋊C4×C89C2311yescharacteristic
90C2×C4⋊C4×C89C2311yescharacteristic
91C2×C4⋊C4×C89C2311yescharacteristic
92C2×C4⋊C4×C89C2311yescharacteristic
93C2×C22⋊C4×C89—21no—
94C2×C22⋊C4×C89—21no—
95C2×C22⋊C4×C89—21no—
96C2×C22⋊C4×C89—21no—
97C2×C22⋊C4×C89—21no—
98C2×C22⋊C4×C89—21no—
99C2×C22⋊C4×C89—21no—
100C2×C22⋊C4×C89—21no—
101C2×C22⋊C4×C89—21no—
102C2×C22⋊C4×C89—21no—
103C2×C22⋊C4×C89—21no—
104C2×C42×C89—21no—
105C2×C42×C89C2311yescharacteristic
106C2×C42×C89C2311yescharacteristic
107C2×C42×C89C2311yescharacteristic
108#106×C89—22no—
109#106×C89—41no—
110C4⋊C8×C89—41no—
111#103×C89—22no—
112#103×C89—41no—
113#103×C89—41no—
114#102×C89—22no—
115#102×C89—41no—
116#102×C89—41no—
117#102×C89—41no—
118#102×C89—41no—
119#97×C89—41no—
120#95×C89—21no—
121#95×C89—21no—
122#95×C89—21no—
123#95×C89—21no—
124#95×C89—21no—
125#95×C89—21no—
126#95×C89—21no—
127C24×C89—21no—
128C24×C89—21no—
129C2×Q8×C89—22no—
130C2×Q8×C89—21no—
131C2×Q8×C89—21no—
132C2×Q8×C89—21no—
133C2×Q8×C89—21no—
134C2×Q8×C89—21no—
135C2×Q8×C89—21no—
136C2×Q8×C89—41no—
137C2×Q8×C89—41no—
138C2×D4×C89—21no—
139C2×D4×C89—21no—
140C2×D4×C89—21no—
141C2×D4×C89—21no—
142C2×D4×C89—21no—
143C2×D4×C89—21no—
144C2×D4×C89—21no—
145C2×D4×C89—21no—
146C2×D4×C89—21no—
147C2×D4×C89—21no—
148C2×D4×C89—21no—
149C2×D4×C89#4112yes—
150C22×C4×C89—21no—
151C22×C4×C89—21no—
152C22×C4×C89—21no—
153C22×C4×C89—21no—
154C22×C4×C89—21no—
155C22×C4×C89—21no—
156C22×C4×C89—42no—
157C22×C4×C89—42no—
158C22×C4×C89—42no—
159C22×C4×C89C2×D411yescharacteristic
160C22×C4×C89C2×D411yescharacteristic
161C22×C4×C89C2×D411yescharacteristic
162C22×C4×C89C2×D411yescharacteristic
163C22×C4×C89C2×D411yescharacteristic
164C22×C4×C89C2×D411yescharacteristic
165C22×C4×C89C2411yescharacteristic
166SD16×C89—44no—
167D8×C89—44no—
168C2×C8×C89—21no—
169C2×C8×C89—21no—
170C2×C8×C89—21no—
171C2×C8×C89—21no—
172C2×C8×C89—21no—
173C2×C8×C89—21no—
174C2×C8×C89—21no—
175C2×C8×C89—21no—
176C2×C8×C89—21no—
177C2×C8×C89—21no—
178C2×C8×C89—21no—
179C2×C8×C89#4112yes—
180C4⋊C4×C89—21no—
181C4⋊C4×C89—21no—
182C4⋊C4×C89—21no—
183C4⋊C4×C89—21no—
184C4⋊C4×C89—21no—
185C4⋊C4×C89—21no—
186C4⋊C4×C89—21no—
187C4⋊C4×C89—21no—
188C4⋊C4×C89—21no—
189C4⋊C4×C89—21no—
190C4⋊C4×C89—41no—
191C4⋊C4×C89—41no—
192C4⋊C4×C89—41no—
193C4⋊C4×C89—42no—
194C4⋊C4×C89—42no—
195C4⋊C4×C89—42no—
196C4⋊C4×C89—81no—
197C22⋊C4×C89—42no—
198C22⋊C4×C89—42no—
199C22⋊C4×C89—42no—
200C22⋊C4×C89—42no—
201C22⋊C4×C89—42no—
202C22⋊C4×C89—42no—
203C22⋊C4×C89—42no—
204C22⋊C4×C89—81no—
205C22⋊C4×C89—81no—
206C22⋊C4×C89—81no—
207C22⋊C4×C89—81no—
208C42×C89—21no—
209C42×C89—21no—
210C42×C89—21no—
211C42×C89—21no—
212C42×C89—21no—
213C42×C89—21no—
214C42×C89—81no—
215C23×C89—22no—
216C23×C89—41no—
217C23×C89—41no—
218C23×C89—41no—
219C23×C89—41no—
220C23×C89—41no—
221C23×C89—41no—
222C23×C89—41no—
223C23×C89—41no—
224C23×C89—41no—
225C23×C89—41no—
226C23×C89—41no—
227C23×C89—41no—
228C23×C89—41no—
229C23×C89C22×D411yescharacteristic
230Q8×C89—44no—
231Q8×C89—41no—
232Q8×C89—41no—
233Q8×C89—41no—
234Q8×C89—41no—
235D4×C89—22no—
236D4×C89—22no—
237D4×C89—41no—
238D4×C89—41no—
239D4×C89—41no—
240D4×C89—41no—
241D4×C89—41no—
242D4×C89—41no—
243C2×C4×C89—21no—
244C2×C4×C89—21no—
245C2×C4×C89—21no—
246C2×C4×C89—21no—
247C2×C4×C89—21no—
248C2×C4×C89—21no—
249C2×C4×C89—21no—
250C2×C4×C89—21no—
251C2×C4×C89—21no—
252C2×C4×C89—21no—
253C2×C4×C89—21no—
254C2×C4×C89—21no—
255C2×C4×C89—21no—
256C2×C4×C89—21no—
257C2×C4×C89—21no—
258C2×C4×C89—21no—
259C2×C4×C89—21no—
260C2×C4×C89—41no—
261C2×C4×C89—41no—
262C2×C4×C89—41no—
263C2×C4×C89—41no—
264C2×C4×C89—41no—
265C2×C4×C89—41no—
266C2×C4×C89—41no—
267C2×C4×C89—41no—
268C2×C4×C89—41no—
269C2×C4×C89—41no—
270C2×C4×C89—41no—
271C2×C4×C89—41no—
272C2×C4×C89—41no—
273C2×C4×C89—41no—
274C2×C4×C89—41no—
275C2×C4×C89—41no—
276C2×C4×C89—41no—
277C2×C4×C89—41no—
278C2×C4×C89—84no—
279C2×C4×C89AGL(1,ℤ/8)12yes—
280C2×C4×C89C2×#4111yescharacteristic
281C2×C4×C89C2×#4111yescharacteristic
282C2×C4×C89H(5,𝔽2)11yescharacteristic
283C2×C4×C89H(5,𝔽2)11yescharacteristic
284C2×C4×C89H(5,𝔽2)11yescharacteristic
285C2×C4×C892−1+411yescharacteristic
286C8×C89—22no—
287C8×C89—41no—
288C8×C89—41no—
289C8×C89—41no—
290C22×C89—42no—
291C22×C89—42no—
292C22×C89—42no—
293C22×C89—81no—
294C22×C89—81no—
295C22×C89—81no—
296C22×C89—81no—
297C22×C89—81no—
298C22×C89—81no—
299C22×C89—81no—
300C22×C89—81no—
301C22×C89—81no—
302C22×C89—81no—
303C22×C89—81no—
304C22×C89#53411yescharacteristic
305C22×C89#54811yescharacteristic
306C22×C89#55011yescharacteristic
307C22×C89C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C89#57511yescharacteristic
309C22×C89#57711yescharacteristic
310C22×C89#57711yescharacteristic
311C4×C89—22no—
312C4×C89—41no—
313C4×C89—41no—
314C4×C89—41no—
315C4×C89—41no—
316C4×C89—41no—
317C4×C89—81no—
318C4×C89—81no—
319C4×C89—81no—
320C4×C89—81no—
321C4×C89—81no—
322C4×C89—81no—
323C4×C89#53811yescharacteristic
324C4×C89#54211yescharacteristic
325C4×C89#55111yescharacteristic
326C4×C89#56211yescharacteristic
327#32614C8911yesmaximal, characteristic, direct product factor, Sylow
328C2×C89—82no—
329C2×C89—161no—
330C2×C89#273011yescharacteristic
331C2×C89#319411yescharacteristic
332C2×C89#320411yescharacteristic
333C2×C89#337311yescharacteristic
334C2×C89#337611yescharacteristic
335C2×C89#339711yescharacteristic
336C2×C89#340111yescharacteristic
337#2592C2×C8911yescharacteristic, complemented
338#2538C2×C8911yescharacteristic, complemented
339#2096C2×C8911yescharacteristic, complemented
340#2071C2×C8911yescharacteristic, complemented
341#2065C2×C8911yescharacteristic, complemented
342#2055C2×C8911yescharacteristic, complemented
343#2042C2×C8911yescharacteristic, complemented
344#2012C2×C8911yescharacteristic
345#1985C2×C8911yescharacteristic, complemented
346#1972C2×C8911yescharacteristic
347#1935C2×C8911yescharacteristic, complemented
348#1926C2×C8911yescharacteristic, complemented
349#1920C2×C8911yescharacteristic, complemented
350#1879C2×C8911yescharacteristic
351#1877C2×C8911yescharacteristic, complemented
352C89#3261411yescharacteristic, direct product factor, Sylow
353C22×SD16C22×C8911yescharacteristic
354C22×D8C22×C8911yescharacteristic
355C2×#124C22×C8911yescharacteristic
356C2×C22⋊Q8—21no—
357C2×C4×Q8C22×C8911yescharacteristic
358C2×C4×D4C22×C8911yescharacteristic
359C2×#106C22×C8911yescharacteristic
360C2×#106C22×C8911yescharacteristic
361C2×C4⋊C8C22×C8911yescharacteristic
362C2×#103C22×C8911yescharacteristic
363C2×#103C22×C8911yescharacteristic
364C2×#103C22×C8911yescharacteristic
365C2×#102C22×C8911yescharacteristic
366C2×#102C22×C8911yescharacteristic
367C2×#102C22×C8911yescharacteristic
368C2×#102C22×C8911yescharacteristic
369C2×#102C22×C8911yescharacteristic
370C2×#97C22×C8911yescharacteristic
371#397—21no—
372#396—21no—
373#396—21no—
374#393—21no—
375#391C22×C8911yescharacteristic
376#391C22×C8911yescharacteristic
377#390C22×C8911yescharacteristic
378#390C22×C8911yescharacteristic
379#390C22×C8911yescharacteristic
380#390C22×C8911yescharacteristic
381#389C22×C8911yescharacteristic
382#389C22×C8911yescharacteristic
383#388—21no—
384#388—21no—
385#384C22×C8911yescharacteristic
386#380—21no—
387C4×C4⋊C4C22×C8911yescharacteristic
388#340C22×C8911yescharacteristic
389#340C22×C8911yescharacteristic
390#340C22×C8911yescharacteristic
391#340C22×C8911yescharacteristic
392#336C22×C8911yescharacteristic
393#336C22×C8911yescharacteristic
394#336C22×C8911yescharacteristic
395#336C22×C8911yescharacteristic
396C22×Q8D4×C8911yescharacteristic
397C22×Q8C23×C8911yescharacteristic
398C22×D4C23×C8911yescharacteristic
399C22×D4C23×C8911yescharacteristic
400C23×C4—21no—
401C2×SD16—22no—
402C2×SD16—41no—
403C2×SD16—41no—
404C2×D8—22no—
405C2×D8—22no—
406C2×D8—41no—
407C22×C8C23×C8911yescharacteristic
408C22×C8C23×C8911yescharacteristic
409C22×C8C23×C8911yescharacteristic
410C22×C8C23×C8911yescharacteristic
411#124—41no—
412#124—41no—
413C22⋊Q8—44no—
414C4×Q8—41no—
415C4×Q8—41no—
416C4×D4—41no—
417C4×D4—41no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4D4×C8911yescharacteristic
423C2×C4⋊C4D4×C8911yescharacteristic
424C2×C4⋊C4D4×C8911yescharacteristic
425C2×C4⋊C4C23×C8911yescharacteristic
426C2×C4⋊C4C23×C8911yescharacteristic
427C2×C4⋊C4C23×C8911yescharacteristic
428C2×C4⋊C4C23×C8911yescharacteristic
429C2×C4⋊C4C23×C8911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C42—21no—
442C2×C42C23×C8911yescharacteristic
443C2×C42C23×C8911yescharacteristic
444C2×C42C23×C8911yescharacteristic
445#106—22no—
446#106—41no—
447C4⋊C8—41no—
448#103—22no—
449#103—41no—
450#103—41no—
451#102—22no—
452#102—41no—
453#102—41no—
454#102—41no—
455#102—41no—
456#97—41no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464C24—21no—
465C24—21no—
466C2×Q8—22no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—41no—
474C2×Q8—41no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4#41×C8912yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4C2×D4×C8911yescharacteristic
497C22×C4C2×D4×C8911yescharacteristic
498C22×C4C2×D4×C8911yescharacteristic
499C22×C4C2×D4×C8911yescharacteristic
500C22×C4C2×D4×C8911yescharacteristic
501C22×C4C2×D4×C8911yescharacteristic
502C22×C4C24×C8911yescharacteristic
503SD16—44no—
504D8—44no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8#41×C8912yes—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—81no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—81no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C8911yescharacteristic
567Q8—44no—
568Q8—41no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572D4—22no—
573D4—22no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4AGL(1,ℤ/8)×C8912yes—
617C2×C4C2×#41×C8911yescharacteristic
618C2×C4C2×#41×C8911yescharacteristic
619C2×C4H(5,𝔽2)×C8911yescharacteristic
620C2×C4H(5,𝔽2)×C8911yescharacteristic
621C2×C4H(5,𝔽2)×C8911yescharacteristic
622C2×C42−1+4×C8911yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22#534×C8911yescharacteristic
642C22#548×C8911yescharacteristic
643C22#550×C8911yescharacteristic
644C22C2×AGL(1,ℤ/8)×C8911yescharacteristic
645C22#575×C8911yescharacteristic
646C22#577×C8911yescharacteristic
647C22#577×C8911yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4#538×C8911yescharacteristic
661C4#542×C8911yescharacteristic
662C4#551×C8911yescharacteristic
663C4#562×C8911yescharacteristic
664C2—82no—
665C2—161no—
666C2C89×#273011yescharacteristic
667C2C89×#319411yescharacteristic
668C2C89×#320411yescharacteristic
669C2C89×#337311yescharacteristic
670C2C89×#337611yescharacteristic
671C2C89×#339711yescharacteristic
672C2C89×#340111yescharacteristic
subgroupG/H
center, socleC23×C89C22×D4
commutator, Frattini, cosocleC22×C4C24×C89
prime radicalC22×D8×C89C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C89 ◁ C2×C4×Q8×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#2592C2semidirect
2. C89×#2538C2semidirect
3. C89×#2096C2semidirect
4. C89×#2071C2semidirect
5. C89×#2065C2semidirect
6. C89×#2055C2semidirect
7. C89×#2042C2semidirect
9. C89×#1985C2semidirect
11. C89×#1935C2semidirect
12. C89×#1926C2semidirect
13. C89×#1920C2semidirect
15. C89×#1877C2semidirect
327. #32614C89direct (N × H)
337. #2592C2×C89semidirect
338. #2538C2×C89semidirect
339. #2096C2×C89semidirect
340. #2071C2×C89semidirect
341. #2065C2×C89semidirect
342. #2055C2×C89semidirect
343. #2042C2×C89semidirect
345. #1985C2×C89semidirect
347. #1935C2×C89semidirect
348. #1926C2×C89semidirect
349. #1920C2×C89semidirect
351. #1877C2×C89semidirect
352. C89#32614direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#25922
C89×#25382
C89×#20962
C89×#20712
C89×#20652
C89×#20552
C89×#20422
C89×#20122
C89×#19852
C89×#19722
C89×#19352
C89×#19262
C89×#19202
C89×#18792
C89×#18772
#3261489