Finite Group Databasebeta

← C89×#60301 #36438149

Subgroups — C89×#60301 #36438149

Order 22784.

1760 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3480C211yesmaximal, characteristic
2C89×#2994C213yesmaximal, complemented
3C89×#2993C213yesmaximal, complemented
4C89×#2991C211yesmaximal, characteristic, complemented
5C89×#2988C211yesmaximal, characteristic, complemented
6C89×#2984C211yesmaximal, characteristic, complemented
7C89×#2982C211yesmaximal, characteristic, complemented
8C89×#2981C213yesmaximal, complemented
9C89×#2979C213yesmaximal, complemented
10C89×#2971C211yesmaximal, characteristic, complemented
11C89×#2969C213yesmaximal, complemented
12C89×#2966C213yesmaximal, complemented
13C8×#41×C89C211yesmaximal, characteristic, complemented
14C89×#2925C213yesmaximal, complemented
15C89×#2922C213yesmaximal, complemented
16#559×C89C413yes—
17#557×C89C411yescharacteristic
18#556×C89C413yes—
19#553×C89C413yes—
20#553×C89C413yes—
21#550×C89C411yescharacteristic
22#548×C89C411yescharacteristic
23#548×C89C411yescharacteristic
24#532×C89C2213yes—
25#529×C89C2213yes—
26#529×C89C2213yes—
27C4×#41×C89C2211yescharacteristic
28C4×#41×C89C2211yescharacteristic
29C4×#41×C89C2213yes—
30C2×C4×Q8×C89C2211yescharacteristic
31#446×C89C2213yes—
32#446×C89C2213yes—
33C8×Q8×C89C2211yescharacteristic
34C8×Q8×C89C2211yescharacteristic
35C8×Q8×C89C2213yes—
36C8×Q8×C89C2213yes—
37C8×Q8×C89C2211yescharacteristic
38C8×Q8×C89C2211yescharacteristic
39#436×C89C2213yes—
40#436×C89C2216yes—
41#436×C89C2213yes—
42#436×C89C2213yes—
43#436×C89C2213yes—
44#435×C89C2216yes—
45#435×C89C2216yes—
46C8×D4×C89C2213yes—
47C8×D4×C89C2213yes—
48C8×D4×C89C2216yes—
49C8×D4×C89C2213yes—
50C8×D4×C89C2213yes—
51#433×C89C2211yescharacteristic
52#433×C89C2213yes—
53#433×C89C2213yes—
54#433×C89C2213yes—
55#433×C89C2216yes—
56#432×C89C2213yes—
57#432×C89C2213yes—
58#431×C89C2213yes—
59#431×C89C2213yes—
60#431×C89C2213yes—
61#431×C89C2213yes—
62#431×C89C2213yes—
63#431×C89C2213yes—
64#424×C89C2213yes—
65#424×C89C2213yes—
66#423×C89C2213yes—
67C2×C4⋊C8×C89C2213yes—
68#408×C89C2213yes—
69#408×C89C2213yes—
70#408×C89C2216yes—
71#405×C89C2216yes—
72C4×M16×C89C2213yes—
73C2×C4×C8×C89C2213yes—
74C2×#41×C89C2×C411yescharacteristic
75C2×#41×C89C2×C411yescharacteristic
76C2×#41×C89C2313yes—
77C22×Q8×C89C2×C411yescharacteristic
78C2×M16×C89C2313yes—
79C2×M16×C89C2313yes—
80C2×M16×C89C2316yes—
81C22×C8×C89C2313yes—
82C22×C8×C89C2313yes—
83C22×C8×C89C2316yes—
84C4⋊Q8×C89C2×C413yes—
85#127×C89C2×C413yes—
86#126×C89C2×C416yes—
87#126×C89C2×C416yes—
88#125×C89C2×C413yes—
89#125×C89C2×C413yes—
90#124×C89C2×C413yes—
91#124×C89C2×C413yes—
92#124×C89C2×C416yes—
93#123×C89C2×C416yes—
94#123×C89C2×C416yes—
95C22⋊Q8×C89C2×C413yes—
96C22⋊Q8×C89C2×C413yes—
97#121×C89C2×C413yes—
98#121×C89C2×C413yes—
99#121×C89C2×C413yes—
100#121×C89C2×C413yes—
101#121×C89C2×C416yes—
102C4×Q8×C89C2×C411yescharacteristic
103C4×Q8×C89C2×C413yes—
104C4×Q8×C89C2×C411yescharacteristic
105C4×Q8×C89C2×C411yescharacteristic
106C4×Q8×C89C2×C413yes—
107C4×Q8×C89C2×C413yes—
108C4×Q8×C89C2311yescharacteristic
109C4×Q8×C89C2313yes—
110C4×D4×C89C2×C413yes—
111C4×D4×C89C2×C413yes—
112C4×D4×C89C2×C413yes—
113C4×D4×C89C2×C413yes—
114C4×D4×C89C2×C413yes—
115C4×D4×C89C2×C413yes—
116C4×D4×C89C2×C413yes—
117C4×D4×C89C2×C413yes—
118C4×D4×C89C2313yes—
119C4×D4×C89C2313yes—
120C4×D4×C89C2316yes—
121#117×C89C2×C413yes—
122#117×C89C2×C413yes—
123#117×C89C2313yes—
124#117×C89C2313yes—
125#117×C89C2311yescharacteristic
126C2×C4⋊C4×C89C2×C413yes—
127C2×C42×C89C2313yes—
128C2×C42×C89C2313yes—
129C2×C42×C89C2313yes—
130C4⋊C8×C89C2313yes—
131C4⋊C8×C89C2313yes—
132C4⋊C8×C89C2313yes—
133C4⋊C8×C89C2313yes—
134C4⋊C8×C89C2313yes—
135C4⋊C8×C89C2313yes—
136C4⋊C8×C89C2311yescharacteristic
137C4⋊C8×C89C2311yescharacteristic
138C4⋊C8×C89C2313yes—
139C4⋊C8×C89C2313yes—
140C4⋊C8×C89C2313yes—
141C4⋊C8×C89C2313yes—
142C22⋊C8×C89C2311yescharacteristic
143C22⋊C8×C89C2313yes—
144C22⋊C8×C89C2311yescharacteristic
145C22⋊C8×C89C2313yes—
146C22⋊C8×C89C2313yes—
147C22⋊C8×C89C2316yes—
148C22⋊C8×C89C2313yes—
149C22⋊C8×C89C2313yes—
150C22⋊C8×C89C2313yes—
151C22⋊C8×C89C2316yes—
152#97×C89C2311yescharacteristic
153#97×C89C2313yes—
154#97×C89C2316yes—
155C4×C8×C89C2311yescharacteristic
156C4×C8×C89C2313yes—
157C4×C8×C89C2313yes—
158C4×C8×C89C2313yes—
159C4×C8×C89C2313yes—
160C4×C8×C89C2313yes—
161C4×C8×C89C2316yes—
162#41×C89—24no—
163#41×C89—24no—
164#41×C89—43no—
165#41×C89—43no—
166C2×Q8×C89—24no—
167C2×Q8×C89C22×C413yes—
168C2×Q8×C89C22×C413yes—
169C2×Q8×C89C22×C411yescharacteristic
170C2×D4×C89C22×C413yes—
171C2×D4×C89C22×C413yes—
172C2×D4×C89C22×C413yes—
173C2×D4×C89C22×C413yes—
174C2×D4×C89C22×C413yes—
175C2×D4×C89C22×C416yes—
176C22×C4×C89C22×C413yes—
177C22×C4×C89C22×C413yes—
178C22×C4×C89C22×C413yes—
179C22×C4×C89C22×C413yes—
180C22×C4×C89C22×C413yes—
181C22×C4×C89C22×C413yes—
182C22×C4×C89C2411yescharacteristic
183C22×C4×C89C2413yes—
184C22×C4×C89C2413yes—
185M16×C89—43no—
186M16×C89—46no—
187M16×C89—43no—
188C2×C8×C89—43no—
189C2×C8×C89—46no—
190C2×C8×C89—43no—
191C2×C8×C89C2411yescharacteristic
192C2×C8×C89C2411yescharacteristic
193C2×C8×C89C2413yes—
194C2×C8×C89C2411yescharacteristic
195C2×C8×C89C2411yescharacteristic
196C2×C8×C89C2413yes—
197C2×C8×C89C2413yes—
198C2×C8×C89C2413yes—
199C4⋊C4×C89C22×C413yes—
200C4⋊C4×C89C22×C413yes—
201C4⋊C4×C89C22×C416yes—
202C4⋊C4×C89C22×C413yes—
203C4⋊C4×C89C22×C413yes—
204C4⋊C4×C89C22×C411yescharacteristic
205C4⋊C4×C89C22×C411yescharacteristic
206C4⋊C4×C89C22×C413yes—
207C4⋊C4×C89C22×C413yes—
208C4⋊C4×C89C22×C413yes—
209C4⋊C4×C89C22×C413yes—
210C4⋊C4×C89C22×C416yes—
211C22⋊C4×C89C22×C416yes—
212C22⋊C4×C89C22×C416yes—
213C22⋊C4×C89C22×C411yescharacteristic
214C22⋊C4×C89C22×C411yescharacteristic
215C22⋊C4×C89C22×C413yes—
216C22⋊C4×C89C22×C413yes—
217C22⋊C4×C89C22×C413yes—
218C22⋊C4×C89C22×C413yes—
219C22⋊C4×C89C22×C416yes—
220C22⋊C4×C89C22×C416yes—
221C42×C89C22×C413yes—
222C42×C89C22×C413yes—
223C42×C89C22×C413yes—
224C42×C89C22×C413yes—
225C42×C89C22×C413yes—
226C42×C89C22×C413yes—
227C42×C89C2411yescharacteristic
228C42×C89C2413yes—
229C42×C89C2413yes—
230C42×C89C2411yescharacteristic
231C23×C89C23×C413yes—
232C23×C89C23×C413yes—
233C23×C89C23×C411yescharacteristic
234Q8×C89—26no—
235Q8×C89—43no—
236Q8×C89#13114yes—
237D4×C89—26no—
238D4×C89—26no—
239D4×C89—46no—
240D4×C89—43no—
241D4×C89—43no—
242D4×C89—43no—
243C2×C4×C89—26no—
244C2×C4×C89—26no—
245C2×C4×C89—26no—
246C2×C4×C89—23no—
247C2×C4×C89—23no—
248C2×C4×C89—23no—
249C2×C4×C89—23no—
250C2×C4×C89—21no—
251C2×C4×C89—21no—
252C2×C4×C89—43no—
253C2×C4×C89—43no—
254C2×C4×C89—43no—
255C2×C4×C89C23×C411yescharacteristic
256C2×C4×C89C23×C411yescharacteristic
257C2×C4×C89C23×C411yescharacteristic
258C2×C4×C89C23×C413yes—
259C2×C4×C89C23×C411yescharacteristic
260C2×C4×C89C23×C411yescharacteristic
261C2×C4×C89C23×C413yes—
262C2×C4×C89C23×C413yes—
263C2×C4×C89C23×C413yes—
264C2×C4×C89C23×C413yes—
265C2×C4×C89C23×C413yes—
266C2×C4×C89C2511yescharacteristic
267C8×C89—21no—
268C8×C89—23no—
269C8×C89—21no—
270C8×C89—23no—
271C8×C89—23no—
272C8×C89—21no—
273C8×C89—21no—
274C8×C89—23no—
275C22×C89—21no—
276C22×C89—23no—
277C22×C89—23no—
278C22×C89—21no—
279C22×C89—23no—
280C22×C89—23no—
281C22×C89—21no—
282C22×C89—23no—
283C22×C89—23no—
284C22×C89C24×C411yescharacteristic
285C4×C89—21no—
286C4×C89—23no—
287C4×C89—23no—
288C4×C89—21no—
289C4×C89—21no—
290C4×C89—23no—
291C4×C89—21no—
292C4×C89—21no—
293C4×C89—23no—
294C4×C89—23no—
295C4×C89C2×#13116yes—
296C4×C89#58511yescharacteristic
297C4×C89#58511yescharacteristic
298#60301C8911yesmaximal, characteristic, direct product factor, Sylow
299C2×C89—41no—
300C2×C89—43no—
301C2×C89—43no—
302C2×C89#342811yescharacteristic
303C2×C89C22×#13111yescharacteristic
304C2×C89#357311yescharacteristic
305#3480C2×C8911yescharacteristic
306#2994C2×C8913yescomplemented
307#2993C2×C8913yescomplemented
308#2991C2×C8911yescharacteristic, complemented
309#2988C2×C8911yescharacteristic, complemented
310#2984C2×C8911yescharacteristic, complemented
311#2982C2×C8911yescharacteristic, complemented
312#2981C2×C8913yescomplemented
313#2979C2×C8913yescomplemented
314#2971C2×C8911yescharacteristic, complemented
315#2969C2×C8913yescomplemented
316#2966C2×C8913yescomplemented
317C8×#41C2×C8911yescharacteristic, complemented
318#2925C2×C8913yescomplemented
319#2922C2×C8913yescomplemented
320C89#6030111yescharacteristic, direct product factor, Sylow
321#559C4×C8913yes—
322#557C4×C8911yescharacteristic
323#556C4×C8913yes—
324#553C4×C8913yes—
325#553C4×C8913yes—
326#550C4×C8911yescharacteristic
327#548C4×C8911yescharacteristic
328#548C4×C8911yescharacteristic
329#532C22×C8913yes—
330#529C22×C8913yes—
331#529C22×C8913yes—
332C4×#41C22×C8911yescharacteristic
333C4×#41C22×C8911yescharacteristic
334C4×#41C22×C8913yes—
335C2×C4×Q8C22×C8911yescharacteristic
336#446C22×C8913yes—
337#446C22×C8913yes—
338C8×Q8C22×C8911yescharacteristic
339C8×Q8C22×C8911yescharacteristic
340C8×Q8C22×C8913yes—
341C8×Q8C22×C8913yes—
342C8×Q8C22×C8911yescharacteristic
343C8×Q8C22×C8911yescharacteristic
344#436C22×C8913yes—
345#436C22×C8916yes—
346#436C22×C8913yes—
347#436C22×C8913yes—
348#436C22×C8913yes—
349#435C22×C8916yes—
350#435C22×C8916yes—
351C8×D4C22×C8913yes—
352C8×D4C22×C8913yes—
353C8×D4C22×C8916yes—
354C8×D4C22×C8913yes—
355C8×D4C22×C8913yes—
356#433C22×C8911yescharacteristic
357#433C22×C8913yes—
358#433C22×C8913yes—
359#433C22×C8913yes—
360#433C22×C8916yes—
361#432C22×C8913yes—
362#432C22×C8913yes—
363#431C22×C8913yes—
364#431C22×C8913yes—
365#431C22×C8913yes—
366#431C22×C8913yes—
367#431C22×C8913yes—
368#431C22×C8913yes—
369#424C22×C8913yes—
370#424C22×C8913yes—
371#423C22×C8913yes—
372C2×C4⋊C8C22×C8913yes—
373#408C22×C8913yes—
374#408C22×C8913yes—
375#408C22×C8916yes—
376#405C22×C8916yes—
377C4×M16C22×C8913yes—
378C2×C4×C8C22×C8913yes—
379C2×#41C2×C4×C8911yescharacteristic
380C2×#41C2×C4×C8911yescharacteristic
381C2×#41C23×C8913yes—
382C22×Q8C2×C4×C8911yescharacteristic
383C2×M16C23×C8913yes—
384C2×M16C23×C8913yes—
385C2×M16C23×C8916yes—
386C22×C8C23×C8913yes—
387C22×C8C23×C8913yes—
388C22×C8C23×C8916yes—
389C4⋊Q8C2×C4×C8913yes—
390#127C2×C4×C8913yes—
391#126C2×C4×C8916yes—
392#126C2×C4×C8916yes—
393#125C2×C4×C8913yes—
394#125C2×C4×C8913yes—
395#124C2×C4×C8913yes—
396#124C2×C4×C8913yes—
397#124C2×C4×C8916yes—
398#123C2×C4×C8916yes—
399#123C2×C4×C8916yes—
400C22⋊Q8C2×C4×C8913yes—
401C22⋊Q8C2×C4×C8913yes—
402#121C2×C4×C8913yes—
403#121C2×C4×C8913yes—
404#121C2×C4×C8913yes—
405#121C2×C4×C8913yes—
406#121C2×C4×C8916yes—
407C4×Q8C2×C4×C8911yescharacteristic
408C4×Q8C2×C4×C8913yes—
409C4×Q8C2×C4×C8911yescharacteristic
410C4×Q8C2×C4×C8911yescharacteristic
411C4×Q8C2×C4×C8913yes—
412C4×Q8C2×C4×C8913yes—
413C4×Q8C23×C8911yescharacteristic
414C4×Q8C23×C8913yes—
415C4×D4C2×C4×C8913yes—
416C4×D4C2×C4×C8913yes—
417C4×D4C2×C4×C8913yes—
418C4×D4C2×C4×C8913yes—
419C4×D4C2×C4×C8913yes—
420C4×D4C2×C4×C8913yes—
421C4×D4C2×C4×C8913yes—
422C4×D4C2×C4×C8913yes—
423C4×D4C23×C8913yes—
424C4×D4C23×C8913yes—
425C4×D4C23×C8916yes—
426#117C2×C4×C8913yes—
427#117C2×C4×C8913yes—
428#117C23×C8911yescharacteristic
429#117C23×C8913yes—
430#117C23×C8913yes—
431C2×C4⋊C4C2×C4×C8913yes—
432C2×C42C23×C8913yes—
433C2×C42C23×C8913yes—
434C2×C42C23×C8913yes—
435C4⋊C8C23×C8913yes—
436C4⋊C8C23×C8913yes—
437C4⋊C8C23×C8913yes—
438C4⋊C8C23×C8913yes—
439C4⋊C8C23×C8913yes—
440C4⋊C8C23×C8913yes—
441C4⋊C8C23×C8911yescharacteristic
442C4⋊C8C23×C8911yescharacteristic
443C4⋊C8C23×C8913yes—
444C4⋊C8C23×C8913yes—
445C4⋊C8C23×C8913yes—
446C4⋊C8C23×C8913yes—
447C22⋊C8C23×C8911yescharacteristic
448C22⋊C8C23×C8913yes—
449C22⋊C8C23×C8911yescharacteristic
450C22⋊C8C23×C8913yes—
451C22⋊C8C23×C8913yes—
452C22⋊C8C23×C8916yes—
453C22⋊C8C23×C8913yes—
454C22⋊C8C23×C8913yes—
455C22⋊C8C23×C8913yes—
456C22⋊C8C23×C8916yes—
457#97C23×C8911yescharacteristic
458#97C23×C8913yes—
459#97C23×C8916yes—
460C4×C8C23×C8911yescharacteristic
461C4×C8C23×C8913yes—
462C4×C8C23×C8913yes—
463C4×C8C23×C8913yes—
464C4×C8C23×C8913yes—
465C4×C8C23×C8913yes—
466C4×C8C23×C8916yes—
467#41—24no—
468#41—24no—
469#41—43no—
470#41—43no—
471C2×Q8—24no—
472C2×Q8C22×C4×C8913yes—
473C2×Q8C22×C4×C8913yes—
474C2×Q8C22×C4×C8911yescharacteristic
475C2×D4C22×C4×C8913yes—
476C2×D4C22×C4×C8913yes—
477C2×D4C22×C4×C8913yes—
478C2×D4C22×C4×C8913yes—
479C2×D4C22×C4×C8913yes—
480C2×D4C22×C4×C8916yes—
481C22×C4C22×C4×C8913yes—
482C22×C4C22×C4×C8913yes—
483C22×C4C22×C4×C8913yes—
484C22×C4C22×C4×C8913yes—
485C22×C4C22×C4×C8913yes—
486C22×C4C22×C4×C8913yes—
487C22×C4C24×C8911yescharacteristic
488C22×C4C24×C8913yes—
489C22×C4C24×C8913yes—
490M16—43no—
491M16—46no—
492M16—43no—
493C2×C8—43no—
494C2×C8—46no—
495C2×C8—43no—
496C2×C8C24×C8911yescharacteristic
497C2×C8C24×C8911yescharacteristic
498C2×C8C24×C8913yes—
499C2×C8C24×C8911yescharacteristic
500C2×C8C24×C8911yescharacteristic
501C2×C8C24×C8913yes—
502C2×C8C24×C8913yes—
503C2×C8C24×C8913yes—
504C4⋊C4C22×C4×C8913yes—
505C4⋊C4C22×C4×C8913yes—
506C4⋊C4C22×C4×C8916yes—
507C4⋊C4C22×C4×C8913yes—
508C4⋊C4C22×C4×C8913yes—
509C4⋊C4C22×C4×C8911yescharacteristic
510C4⋊C4C22×C4×C8911yescharacteristic
511C4⋊C4C22×C4×C8913yes—
512C4⋊C4C22×C4×C8913yes—
513C4⋊C4C22×C4×C8913yes—
514C4⋊C4C22×C4×C8913yes—
515C4⋊C4C22×C4×C8916yes—
516C22⋊C4C22×C4×C8916yes—
517C22⋊C4C22×C4×C8916yes—
518C22⋊C4C22×C4×C8911yescharacteristic
519C22⋊C4C22×C4×C8911yescharacteristic
520C22⋊C4C22×C4×C8913yes—
521C22⋊C4C22×C4×C8913yes—
522C22⋊C4C22×C4×C8913yes—
523C22⋊C4C22×C4×C8913yes—
524C22⋊C4C22×C4×C8916yes—
525C22⋊C4C22×C4×C8916yes—
526C42C22×C4×C8913yes—
527C42C22×C4×C8913yes—
528C42C22×C4×C8913yes—
529C42C22×C4×C8913yes—
530C42C22×C4×C8913yes—
531C42C22×C4×C8913yes—
532C42C24×C8911yescharacteristic
533C42C24×C8913yes—
534C42C24×C8913yes—
535C42C24×C8911yescharacteristic
536C23C23×C4×C8913yes—
537C23C23×C4×C8913yes—
538C23C23×C4×C8911yescharacteristic
539Q8—26no—
540Q8—43no—
541Q8#131×C8914yes—
542D4—26no—
543D4—26no—
544D4—46no—
545D4—43no—
546D4—43no—
547D4—43no—
548C2×C4—26no—
549C2×C4—26no—
550C2×C4—26no—
551C2×C4—23no—
552C2×C4—23no—
553C2×C4—23no—
554C2×C4—23no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—43no—
558C2×C4—43no—
559C2×C4—43no—
560C2×C4C23×C4×C8911yescharacteristic
561C2×C4C23×C4×C8911yescharacteristic
562C2×C4C23×C4×C8911yescharacteristic
563C2×C4C23×C4×C8913yes—
564C2×C4C23×C4×C8911yescharacteristic
565C2×C4C23×C4×C8911yescharacteristic
566C2×C4C23×C4×C8913yes—
567C2×C4C23×C4×C8913yes—
568C2×C4C23×C4×C8913yes—
569C2×C4C23×C4×C8913yes—
570C2×C4C23×C4×C8913yes—
571C2×C4C25×C8911yescharacteristic
572C8—21no—
573C8—23no—
574C8—21no—
575C8—23no—
576C8—23no—
577C8—21no—
578C8—21no—
579C8—23no—
580C22—21no—
581C22—23no—
582C22—23no—
583C22—21no—
584C22—23no—
585C22—23no—
586C22—21no—
587C22—23no—
588C22—23no—
589C22C24×C4×C8911yescharacteristic
590C4—21no—
591C4—23no—
592C4—23no—
593C4—21no—
594C4—21no—
595C4—23no—
596C4—21no—
597C4—21no—
598C4—23no—
599C4—23no—
600C4C2×#131×C8916yes—
601C4#585×C8911yescharacteristic
602C4#585×C8911yescharacteristic
603C2—41no—
604C2—43no—
605C2—43no—
606C2C89×#342811yescharacteristic
607C2C22×#131×C8911yescharacteristic
608C2C89×#357311yescharacteristic
subgroupG/H
centerC2×C4×C89C25
commutatorC22C24×C4×C89
Frattini, cosocleC2×C4C25×C89
socleC22×C89C24×C4
prime radicalC89×#3480C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C89 ◁ G

Complements

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

NH ≅ G/Ntype
2. C89×#2994C2semidirect
3. C89×#2993C2semidirect
4. C89×#2991C2semidirect
5. C89×#2988C2semidirect
6. C89×#2984C2semidirect
7. C89×#2982C2semidirect
8. C89×#2981C2semidirect
9. C89×#2979C2semidirect
10. C89×#2971C2semidirect
11. C89×#2969C2semidirect
12. C89×#2966C2semidirect
13. C8×#41×C89C2semidirect
14. C89×#2925C2semidirect
15. C89×#2922C2semidirect
298. #60301C89direct (N × H)
306. #2994C2×C89semidirect
307. #2993C2×C89semidirect
308. #2991C2×C89semidirect
309. #2988C2×C89semidirect
310. #2984C2×C89semidirect
311. #2982C2×C89semidirect
312. #2981C2×C89semidirect
313. #2979C2×C89semidirect
314. #2971C2×C89semidirect
315. #2969C2×C89semidirect
316. #2966C2×C89semidirect
317. C8×#41C2×C89semidirect
318. #2925C2×C89semidirect
319. #2922C2×C89semidirect
320. C89#60301direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#34802
C89×#29942
C89×#29932
C89×#29912
C89×#29882
C89×#29842
C89×#29822
C89×#29812
C89×#29792
C89×#29712
C89×#29692
C89×#29662
C8×#41×C892
C89×#29252
C89×#29222
#6030189