Finite Group Databasebeta

← C89×#29345 #36407193

Subgroups — C89×#29345 #36407193

Order 22784.

772 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#2620C211yesmaximal, characteristic
2C89×#2317C211yesmaximal, characteristic, complemented
3C89×#2100C211yesmaximal, characteristic, complemented
4C89×#2099C211yesmaximal, characteristic, complemented
5C89×#2042C211yesmaximal, characteristic, complemented
6C89×#2042C211yesmaximal, characteristic, complemented
7C89×#1936C211yesmaximal, characteristic, complemented
8C89×#1935C211yesmaximal, characteristic, complemented
9C89×#1934C211yesmaximal, characteristic, complemented
10C89×#1933C211yesmaximal, characteristic, complemented
11C89×#1875C211yesmaximal, characteristic
12C89×#1874C211yesmaximal, characteristic
13C89×#1873C211yesmaximal, characteristic, complemented
14C89×#1872C211yesmaximal, characteristic, complemented
15C89×#1750C211yesmaximal, characteristic, complemented
16C2×#124×C89C2211yescharacteristic
17C2×C22⋊Q8×C89C2211yescharacteristic
18C2×#121×C89C2211yescharacteristic
19C2×#117×C89C2211yescharacteristic
20C2×#117×C89C2211yescharacteristic
21C22×C4⋊C4×C89C2211yescharacteristic
22C2×#103×C89C2211yescharacteristic
23C2×#103×C89C2211yescharacteristic
24C2×#103×C89C2211yescharacteristic
25C2×#103×C89C2211yescharacteristic
26C2×#102×C89C2211yescharacteristic
27C2×#102×C89C2211yescharacteristic
28C2×#102×C89C2211yescharacteristic
29C2×#102×C89C2211yescharacteristic
30C2×C22⋊C8×C89C2211yescharacteristic
31C2×C22⋊C8×C89C2211yescharacteristic
32C2×#97×C89C2211yescharacteristic
33C2×C4×C8×C89C2211yescharacteristic
34#396×C89—21no—
35#396×C89—21no—
36#394×C89—21no—
37#394×C89—21no—
38#391×C89C2211yescharacteristic
39#390×C89C2211yescharacteristic
40#389×C89C2211yescharacteristic
41#389×C89C2211yescharacteristic
42#389×C89C2211yescharacteristic
43#389×C89C2211yescharacteristic
44#385×C89—21no—
45#385×C89—21no—
46#384×C89—21no—
47#384×C89C2211yescharacteristic
48#382×C89—21no—
49#340×C89C2211yescharacteristic
50#340×C89C2211yescharacteristic
51#340×C89C2211yescharacteristic
52#340×C89C2211yescharacteristic
53#340×C89C2211yescharacteristic
54#340×C89C2211yescharacteristic
55#340×C89C2211yescharacteristic
56#340×C89C2211yescharacteristic
57#336×C89C2211yescharacteristic
58#336×C89C2211yescharacteristic
59C22×Q8×C89C2311yescharacteristic
60C22×D4×C89—21no—
61C22×D4×C89C2311yescharacteristic
62C23×C4×C89—21no—
63C23×C4×C89C2311yescharacteristic
64C22×C8×C89C2311yescharacteristic
65C22×C8×C89C2311yescharacteristic
66C22×C8×C89C2311yescharacteristic
67C22×C8×C89C2311yescharacteristic
68#124×C89—41no—
69#124×C89—41no—
70C22⋊Q8×C89—22no—
71C22⋊Q8×C89—22no—
72#121×C89—22no—
73#121×C89—22no—
74#117×C89—22no—
75#117×C89—22no—
76#117×C89—41no—
77#117×C89—41no—
78C2×C4⋊C4×C89—21no—
79C2×C4⋊C4×C89—21no—
80C2×C4⋊C4×C89—21no—
81C2×C4⋊C4×C89—21no—
82C2×C4⋊C4×C89—21no—
83C2×C4⋊C4×C89—21no—
84C2×C4⋊C4×C89—21no—
85C2×C4⋊C4×C89—21no—
86C2×C4⋊C4×C89—41no—
87C2×C4⋊C4×C89—41no—
88C2×C4⋊C4×C89D411yescharacteristic
89C2×C4⋊C4×C89D411yescharacteristic
90C2×C4⋊C4×C89C2311yescharacteristic
91C2×C4⋊C4×C89C2311yescharacteristic
92C2×C4⋊C4×C89C2311yescharacteristic
93C2×C4⋊C4×C89C2311yescharacteristic
94C2×C4⋊C4×C89C2311yescharacteristic
95C2×C4⋊C4×C89C2311yescharacteristic
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×C89D411yescharacteristic
104C2×C22⋊C4×C89D411yescharacteristic
105C2×C42×C89—21no—
106C2×C42×C89C2311yescharacteristic
107C2×C42×C89C2311yescharacteristic
108#103×C89—22no—
109#103×C89—22no—
110#103×C89—41no—
111#103×C89—41no—
112#102×C89—22no—
113#102×C89—22no—
114#102×C89—41no—
115#102×C89—41no—
116C22⋊C8×C89—22no—
117C22⋊C8×C89—22no—
118#97×C89—41no—
119C4×C8×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—
126C24×C89—21no—
127C24×C89C2×D411yescharacteristic
128C2×Q8×C89—21no—
129C2×Q8×C89—21no—
130C2×Q8×C89—21no—
131C2×Q8×C89—21no—
132C2×Q8×C89—21no—
133C2×Q8×C89—21no—
134C2×D4×C89—21no—
135C2×D4×C89—21no—
136C2×D4×C89—21no—
137C2×D4×C89—21no—
138C2×D4×C89—21no—
139C2×D4×C89—21no—
140C2×D4×C89—42no—
141C2×D4×C89—81no—
142C2×D4×C89—81no—
143C22×C4×C89—21no—
144C22×C4×C89—21no—
145C22×C4×C89—21no—
146C22×C4×C89—21no—
147C22×C4×C89—21no—
148C22×C4×C89—21no—
149C22×C4×C89—21no—
150C22×C4×C89—21no—
151C22×C4×C89—21no—
152C22×C4×C89—21no—
153C22×C4×C89—21no—
154C22×C4×C89—42no—
155C22×C4×C89—81no—
156C22×C4×C89—81no—
157C22×C4×C89C2×D411yescharacteristic
158C22×C4×C89C2×D411yescharacteristic
159C22×C4×C89C2×D411yescharacteristic
160C22×C4×C89C2×D411yescharacteristic
161C22×C4×C89C2×D411yescharacteristic
162C22×C4×C89#4112yes—
163C22×C4×C89#4112yes—
164C22×C4×C89C2411yescharacteristic
165C2×C8×C89—21no—
166C2×C8×C89—21no—
167C2×C8×C89—21no—
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—
177C4⋊C4×C89—21no—
178C4⋊C4×C89—21no—
179C4⋊C4×C89—21no—
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—41no—
188C4⋊C4×C89—41no—
189C4⋊C4×C89—42no—
190C4⋊C4×C89—42no—
191C4⋊C4×C89—81no—
192C4⋊C4×C89—81no—
193C4⋊C4×C89—81no—
194C4⋊C4×C89—81no—
195C4⋊C4×C89—81no—
196C4⋊C4×C89—81no—
197C4⋊C4×C89#4112yes—
198C4⋊C4×C89#4112yes—
199C22⋊C4×C89—24no—
200C22⋊C4×C89—41no—
201C22⋊C4×C89—41no—
202C22⋊C4×C89—42no—
203C22⋊C4×C89—42no—
204C22⋊C4×C89—42no—
205C22⋊C4×C89—42no—
206C22⋊C4×C89—81no—
207C22⋊C4×C89—81no—
208C42×C89—24no—
209C42×C89—21no—
210C42×C89—21no—
211C42×C89—21no—
212C42×C89—21no—
213C23×C89—21no—
214C23×C89—21no—
215C23×C89—21no—
216C23×C89—21no—
217C23×C89—21no—
218C23×C89—21no—
219C23×C89—41no—
220C23×C89—41no—
221C23×C89—41no—
222C23×C89—41no—
223C23×C89—41no—
224C23×C89—41no—
225C23×C89—41no—
226C23×C89#12412yes—
227C23×C89C22×D411yescharacteristic
228Q8×C89—41no—
229Q8×C89—41no—
230Q8×C89—41no—
231Q8×C89—41no—
232D4×C89—41no—
233D4×C89—41no—
234D4×C89—41no—
235D4×C89—41no—
236D4×C89—84no—
237C2×C4×C89—21no—
238C2×C4×C89—21no—
239C2×C4×C89—22no—
240C2×C4×C89—22no—
241C2×C4×C89—22no—
242C2×C4×C89—22no—
243C2×C4×C89—22no—
244C2×C4×C89—22no—
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—41no—
258C2×C4×C89—41no—
259C2×C4×C89—41no—
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—84no—
277C2×C4×C89#12412yes—
278C2×C4×C89C2×#4111yescharacteristic
279C2×C4×C89C2×#4111yescharacteristic
280C2×C4×C89C2×#4111yescharacteristic
281C2×C4×C89C2×#4111yescharacteristic
282C2×C4×C89H(5,𝔽2)11yescharacteristic
283C2×C4×C89H(5,𝔽2)11yescharacteristic
284C8×C89—41no—
285C8×C89—41no—
286C8×C89—41no—
287C8×C89—41no—
288C22×C89—22no—
289C22×C89—22no—
290C22×C89—22no—
291C22×C89—41no—
292C22×C89—41no—
293C22×C89—41no—
294C22×C89—41no—
295C22×C89—81no—
296C22×C89—81no—
297C22×C89—81no—
298C22×C89—81no—
299C22×C89—81no—
300C22×C89—81no—
301C22×C89—81no—
302C22×C89#52511yescharacteristic
303C22×C89C2×#12411yescharacteristic
304C22×C89#53411yescharacteristic
305C22×C89#57611yescharacteristic
306C22×C89#57711yescharacteristic
307C22×C89#57711yescharacteristic
308C22×C89#57811yescharacteristic
309C4×C89—22no—
310C4×C89—42no—
311C4×C89—42no—
312C4×C89—41no—
313C4×C89—41no—
314C4×C89—41no—
315C4×C89—41no—
316C4×C89—81no—
317C4×C89—81no—
318C4×C89—81no—
319C4×C89—81no—
320C4×C89—81no—
321C4×C89#55311yescharacteristic
322C4×C89#55311yescharacteristic
323C4×C89#55311yescharacteristic
324C4×C89#55311yescharacteristic
325#29345C8911yesmaximal, characteristic, direct product factor, Sylow
326C2×C89—42no—
327C2×C89—161no—
328C2×C89#259111yescharacteristic
329C2×C89#312411yescharacteristic
330C2×C89#312511yescharacteristic
331C2×C89#313611yescharacteristic
332C2×C89#313711yescharacteristic
333C2×C89#319811yescharacteristic
334C2×C89#320111yescharacteristic
335#2620C2×C8911yescharacteristic
336#2317C2×C8911yescharacteristic, complemented
337#2100C2×C8911yescharacteristic, complemented
338#2099C2×C8911yescharacteristic, complemented
339#2042C2×C8911yescharacteristic, complemented
340#2042C2×C8911yescharacteristic, complemented
341#1936C2×C8911yescharacteristic, complemented
342#1935C2×C8911yescharacteristic, complemented
343#1934C2×C8911yescharacteristic, complemented
344#1933C2×C8911yescharacteristic, complemented
345#1875C2×C8911yescharacteristic
346#1874C2×C8911yescharacteristic
347#1873C2×C8911yescharacteristic, complemented
348#1872C2×C8911yescharacteristic, complemented
349#1750C2×C8911yescharacteristic, complemented
350C89#2934511yescharacteristic, direct product factor, Sylow
351C2×#124C22×C8911yescharacteristic
352C2×C22⋊Q8C22×C8911yescharacteristic
353C2×#121C22×C8911yescharacteristic
354C2×#117C22×C8911yescharacteristic
355C2×#117C22×C8911yescharacteristic
356C22×C4⋊C4C22×C8911yescharacteristic
357C2×#103C22×C8911yescharacteristic
358C2×#103C22×C8911yescharacteristic
359C2×#103C22×C8911yescharacteristic
360C2×#103C22×C8911yescharacteristic
361C2×#102C22×C8911yescharacteristic
362C2×#102C22×C8911yescharacteristic
363C2×#102C22×C8911yescharacteristic
364C2×#102C22×C8911yescharacteristic
365C2×C22⋊C8C22×C8911yescharacteristic
366C2×C22⋊C8C22×C8911yescharacteristic
367C2×#97C22×C8911yescharacteristic
368C2×C4×C8C22×C8911yescharacteristic
369#396—21no—
370#396—21no—
371#394—21no—
372#394—21no—
373#391C22×C8911yescharacteristic
374#390C22×C8911yescharacteristic
375#389C22×C8911yescharacteristic
376#389C22×C8911yescharacteristic
377#389C22×C8911yescharacteristic
378#389C22×C8911yescharacteristic
379#385—21no—
380#385—21no—
381#384—21no—
382#384C22×C8911yescharacteristic
383#382—21no—
384#340C22×C8911yescharacteristic
385#340C22×C8911yescharacteristic
386#340C22×C8911yescharacteristic
387#340C22×C8911yescharacteristic
388#340C22×C8911yescharacteristic
389#340C22×C8911yescharacteristic
390#340C22×C8911yescharacteristic
391#340C22×C8911yescharacteristic
392#336C22×C8911yescharacteristic
393#336C22×C8911yescharacteristic
394C22×Q8C23×C8911yescharacteristic
395C22×D4—21no—
396C22×D4C23×C8911yescharacteristic
397C23×C4—21no—
398C23×C4C23×C8911yescharacteristic
399C22×C8C23×C8911yescharacteristic
400C22×C8C23×C8911yescharacteristic
401C22×C8C23×C8911yescharacteristic
402C22×C8C23×C8911yescharacteristic
403#124—41no—
404#124—41no—
405C22⋊Q8—22no—
406C22⋊Q8—22no—
407#121—22no—
408#121—22no—
409#117—22no—
410#117—22no—
411#117—41no—
412#117—41no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—41no—
422C2×C4⋊C4—41no—
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×C4⋊C4C23×C8911yescharacteristic
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⋊C4D4×C8911yescharacteristic
439C2×C22⋊C4D4×C8911yescharacteristic
440C2×C42—21no—
441C2×C42C23×C8911yescharacteristic
442C2×C42C23×C8911yescharacteristic
443#103—22no—
444#103—22no—
445#103—41no—
446#103—41no—
447#102—22no—
448#102—22no—
449#102—41no—
450#102—41no—
451C22⋊C8—22no—
452C22⋊C8—22no—
453#97—41no—
454C4×C8—41no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461C24—21no—
462C24C2×D4×C8911yescharacteristic
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—42no—
476C2×D4—81no—
477C2×D4—81no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4C2×D4×C8911yescharacteristic
493C22×C4C2×D4×C8911yescharacteristic
494C22×C4C2×D4×C8911yescharacteristic
495C22×C4C2×D4×C8911yescharacteristic
496C22×C4C2×D4×C8911yescharacteristic
497C22×C4#41×C8912yes—
498C22×C4#41×C8912yes—
499C22×C4C24×C8911yescharacteristic
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4#41×C8912yes—
533C4⋊C4#41×C8912yes—
534C22⋊C4—24no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C42—24no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23#124×C8912yes—
562C23C22×D4×C8911yescharacteristic
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—84no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
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—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
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—84no—
612C2×C4#124×C8912yes—
613C2×C4C2×#41×C8911yescharacteristic
614C2×C4C2×#41×C8911yescharacteristic
615C2×C4C2×#41×C8911yescharacteristic
616C2×C4C2×#41×C8911yescharacteristic
617C2×C4H(5,𝔽2)×C8911yescharacteristic
618C2×C4H(5,𝔽2)×C8911yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22#525×C8911yescharacteristic
638C22C2×#124×C8911yescharacteristic
639C22#534×C8911yescharacteristic
640C22#576×C8911yescharacteristic
641C22#577×C8911yescharacteristic
642C22#577×C8911yescharacteristic
643C22#578×C8911yescharacteristic
644C4—22no—
645C4—42no—
646C4—42no—
647C4—41no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4#553×C8911yescharacteristic
657C4#553×C8911yescharacteristic
658C4#553×C8911yescharacteristic
659C4#553×C8911yescharacteristic
660C2—42no—
661C2—161no—
662C2C89×#259111yescharacteristic
663C2C89×#312411yescharacteristic
664C2C89×#312511yescharacteristic
665C2C89×#313611yescharacteristic
666C2C89×#313711yescharacteristic
667C2C89×#319811yescharacteristic
668C2C89×#320111yescharacteristic
subgroupG/H
center, socleC23×C89C22×D4
commutator, Frattini, cosocleC22×C4C24×C89
prime radicalC2×#121×C89C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C89 ◁ C2×#117×C89 ◁ G

Complements

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

NH ≅ G/Ntype
2. C89×#2317C2semidirect
3. C89×#2100C2semidirect
4. C89×#2099C2semidirect
5. C89×#2042C2semidirect
6. C89×#2042C2semidirect
7. C89×#1936C2semidirect
8. C89×#1935C2semidirect
9. C89×#1934C2semidirect
10. C89×#1933C2semidirect
13. C89×#1873C2semidirect
14. C89×#1872C2semidirect
15. C89×#1750C2semidirect
325. #29345C89direct (N × H)
336. #2317C2×C89semidirect
337. #2100C2×C89semidirect
338. #2099C2×C89semidirect
339. #2042C2×C89semidirect
340. #2042C2×C89semidirect
341. #1936C2×C89semidirect
342. #1935C2×C89semidirect
343. #1934C2×C89semidirect
344. #1933C2×C89semidirect
347. #1873C2×C89semidirect
348. #1872C2×C89semidirect
349. #1750C2×C89semidirect
350. C89#29345direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#26202
C89×#23172
C89×#21002
C89×#20992
C89×#20422
C89×#19362
C89×#19352
C89×#19342
C89×#19332
C89×#18752
C89×#18742
C89×#18732
C89×#18722
C89×#17502
#2934589