Finite Group Databasebeta

← C89×#29564 #36407412

Subgroups — C89×#29564 #36407412

Order 22784.

804 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#2641C211yesmaximal, characteristic, complemented
2C89×#2319C211yesmaximal, characteristic, complemented
3C89×#2059C211yesmaximal, characteristic, complemented
4C89×#2041C211yesmaximal, characteristic, complemented
5C89×#2025C211yesmaximal, characteristic, complemented
6C89×#2011C211yesmaximal, characteristic
7C89×#1972C211yesmaximal, characteristic, complemented
8C89×#1970C211yesmaximal, characteristic, complemented
9C89×#1936C211yesmaximal, characteristic, complemented
10C89×#1934C211yesmaximal, characteristic, complemented
11C89×#1926C211yesmaximal, characteristic, complemented
12C89×#1925C211yesmaximal, characteristic, complemented
13C89×#1879C211yesmaximal, characteristic, complemented
14C89×#1879C211yesmaximal, characteristic, complemented
15C89×#1746C211yesmaximal, characteristic, complemented
16C22×D8×C89C2211yescharacteristic
17C22×D8×C89C2211yescharacteristic
18C2×#127×C89C2211yescharacteristic
19C2×#125×C89C2211yescharacteristic
20C2×C4×D4×C89C2211yescharacteristic
21C2×#107×C89C2211yescharacteristic
22C2×#106×C89C2211yescharacteristic
23C2×#102×C89C2211yescharacteristic
24C2×#102×C89C2211yescharacteristic
25C2×#102×C89C2211yescharacteristic
26C2×#102×C89C2211yescharacteristic
27C2×#102×C89C2211yescharacteristic
28C2×#102×C89C2211yescharacteristic
29C2×#102×C89C2211yescharacteristic
30C2×#102×C89C2211yescharacteristic
31C2×#97×C89C2211yescharacteristic
32C2×C4×C8×C89C2211yescharacteristic
33#394×C89—21no—
34#394×C89—21no—
35#394×C89—21no—
36#394×C89—21no—
37#390×C89C2211yescharacteristic
38#390×C89C2211yescharacteristic
39#390×C89C2211yescharacteristic
40#390×C89C2211yescharacteristic
41#390×C89C2211yescharacteristic
42#390×C89C2211yescharacteristic
43#389×C89C2211yescharacteristic
44#389×C89C2211yescharacteristic
45#388×C89—21no—
46#388×C89—21no—
47#381×C89—21no—
48#380×C89—21no—
49C4×C4⋊C4×C89C2211yescharacteristic
50#376×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×D4×C89—21no—
60C22×D4×C89—21no—
61C22×D4×C89C2311yescharacteristic
62C22×D4×C89C2311yescharacteristic
63C22×D4×C89C2311yescharacteristic
64C23×C4×C89—21no—
65C2×D8×C89—22no—
66C2×D8×C89—22no—
67C2×D8×C89—22no—
68C2×D8×C89—22no—
69C2×D8×C89—41no—
70C2×D8×C89—41no—
71C22×C8×C89C2311yescharacteristic
72C22×C8×C89C2311yescharacteristic
73C22×C8×C89C2311yescharacteristic
74C22×C8×C89C2311yescharacteristic
75#127×C89—41no—
76#127×C89—41no—
77#125×C89—41no—
78#125×C89—41no—
79C4×D4×C89—22no—
80C4×D4×C89—22no—
81C2×C4⋊C4×C89—21no—
82C2×C4⋊C4×C89—21no—
83C2×C4⋊C4×C89—21no—
84C2×C4⋊C4×C89—21no—
85C2×C4⋊C4×C89C2311yescharacteristic
86C2×C4⋊C4×C89C2311yescharacteristic
87C2×C4⋊C4×C89C2311yescharacteristic
88C2×C4⋊C4×C89C2311yescharacteristic
89C2×C4⋊C4×C89C2311yescharacteristic
90C2×C22⋊C4×C89—21no—
91C2×C22⋊C4×C89—21no—
92C2×C22⋊C4×C89—21no—
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×C42×C89—21no—
104C2×C42×C89C2311yescharacteristic
105C2×C42×C89C2311yescharacteristic
106C2×C42×C89C2311yescharacteristic
107#107×C89—41no—
108#106×C89—41no—
109#102×C89—22no—
110#102×C89—22no—
111#102×C89—22no—
112#102×C89—22no—
113#102×C89—41no—
114#102×C89—41no—
115#102×C89—41no—
116#102×C89—41no—
117#97×C89—22no—
118C4×C8×C89—22no—
119#95×C89—21no—
120#95×C89—21no—
121#95×C89—21no—
122#95×C89D411yescharacteristic
123#95×C89D411yescharacteristic
124#95×C89D411yescharacteristic
125#95×C89D411yescharacteristic
126C24×C89—21no—
127C24×C89—21no—
128C24×C89—21no—
129C2×D4×C89—21no—
130C2×D4×C89—21no—
131C2×D4×C89—21no—
132C2×D4×C89—21no—
133C2×D4×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—21no—
141C2×D4×C89—21no—
142C2×D4×C89—21no—
143C2×D4×C89—21no—
144C2×D4×C89—21no—
145C2×D4×C89—21no—
146C2×D4×C89—42no—
147C2×D4×C89—42no—
148C2×D4×C89—81no—
149C2×D4×C89—81no—
150C2×D4×C89—81no—
151C2×D4×C89—81no—
152C2×D4×C89#4112yes—
153C22×C4×C89—21no—
154C22×C4×C89—24no—
155C22×C4×C89—21no—
156C22×C4×C89—21no—
157C22×C4×C89—21no—
158C22×C4×C89—21no—
159C22×C4×C89—81no—
160C22×C4×C89—81no—
161C22×C4×C89C2×D411yescharacteristic
162C22×C4×C89C2×D411yescharacteristic
163C22×C4×C89C2×D411yescharacteristic
164C22×C4×C89C2×D411yescharacteristic
165C22×C4×C89C2×D411yescharacteristic
166C22×C4×C89C2×D411yescharacteristic
167C22×C4×C89C2411yescharacteristic
168D8×C89—44no—
169D8×C89—44no—
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—21no—
180C2×C8×C89#4112yes—
181C2×C8×C89#4112yes—
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—21no—
191C4⋊C4×C89—42no—
192C4⋊C4×C89—42no—
193C4⋊C4×C89—81no—
194C4⋊C4×C89—81no—
195C4⋊C4×C89#4112yes—
196C22⋊C4×C89—24no—
197C22⋊C4×C89—81no—
198C22⋊C4×C89—81no—
199C22⋊C4×C89—81no—
200C22⋊C4×C89—81no—
201C22⋊C4×C89—81no—
202C22⋊C4×C89—81no—
203C22⋊C4×C89—81no—
204C22⋊C4×C89—81no—
205C22⋊C4×C89—81no—
206C22⋊C4×C89—81no—
207C22⋊C4×C89—81no—
208C22⋊C4×C89—81no—
209C42×C89—21no—
210C42×C89—21no—
211C42×C89—21no—
212C42×C89—21no—
213C42×C89—21no—
214C42×C89—21no—
215C42×C89—81no—
216C23×C89—22no—
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×C89—41no—
230C23×C89—41no—
231C23×C89—41no—
232C23×C89—41no—
233C23×C89—41no—
234C23×C89—41no—
235C23×C89—41no—
236C23×C89—41no—
237C23×C89C22×D411yescharacteristic
238D4×C89—22no—
239D4×C89—22no—
240D4×C89—41no—
241D4×C89—41no—
242D4×C89—41no—
243D4×C89—41no—
244D4×C89—41no—
245D4×C89—41no—
246D4×C89—41no—
247D4×C89—41no—
248D4×C89—41no—
249D4×C89—41no—
250D4×C89—84no—
251D4×C89—84no—
252C2×C4×C89—21no—
253C2×C4×C89—21no—
254C2×C4×C89—22no—
255C2×C4×C89—21no—
256C2×C4×C89—21no—
257C2×C4×C89—21no—
258C2×C4×C89—21no—
259C2×C4×C89—21no—
260C2×C4×C89—21no—
261C2×C4×C89—21no—
262C2×C4×C89—21no—
263C2×C4×C89—21no—
264C2×C4×C89—21no—
265C2×C4×C89—21no—
266C2×C4×C89—21no—
267C2×C4×C89—21no—
268C2×C4×C89—21no—
269C2×C4×C89—21no—
270C2×C4×C89—21no—
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—41no—
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—84no—
286C2×C4×C89C2×#4111yescharacteristic
287C2×C4×C89C2×#4111yescharacteristic
288C2×C4×C89C2×#4111yescharacteristic
289C2×C4×C89C2×#4111yescharacteristic
290C2×C4×C89H(5,𝔽2)11yescharacteristic
291C2×C4×C89H(5,𝔽2)11yescharacteristic
292C8×C89—22no—
293C8×C89—22no—
294C8×C89—41no—
295C8×C89—41no—
296C22×C89—42no—
297C22×C89—42no—
298C22×C89—42no—
299C22×C89—81no—
300C22×C89—81no—
301C22×C89—81no—
302C22×C89—81no—
303C22×C89—81no—
304C22×C89—81no—
305C22×C89—81no—
306C22×C89—81no—
307C22×C89—81no—
308C22×C89—81no—
309C22×C89—81no—
310C22×C89—81no—
311C22×C89—81no—
312C22×C89—81no—
313C22×C89—81no—
314C22×C89—81no—
315C22×C89—81no—
316C22×C89—81no—
317C22×C89#52511yescharacteristic
318C22×C89#53211yescharacteristic
319C22×C89#53511yescharacteristic
320C22×C89#57611yescharacteristic
321C22×C89#57611yescharacteristic
322C22×C89#57611yescharacteristic
323C22×C89#57711yescharacteristic
324C4×C89—41no—
325C4×C89—41no—
326C4×C89—42no—
327C4×C89—41no—
328C4×C89—41no—
329C4×C89—41no—
330C4×C89—41no—
331C4×C89—81no—
332C4×C89—81no—
333C4×C89—81no—
334C4×C89—81no—
335C4×C89#55111yescharacteristic
336C4×C89#55111yescharacteristic
337C4×C89#55511yescharacteristic
338C4×C89#55511yescharacteristic
339#29564C8911yesmaximal, characteristic, direct product factor, Sylow
340C2×C89—82no—
341C2×C89—161no—
342C2×C89—161no—
343C2×C89#261011yescharacteristic
344C2×C89#311911yescharacteristic
345C2×C89#312211yescharacteristic
346C2×C89#317611yescharacteristic
347C2×C89#317911yescharacteristic
348C2×C89#322011yescharacteristic
349C2×C89#322411yescharacteristic
350#2641C2×C8911yescharacteristic, complemented
351#2319C2×C8911yescharacteristic, complemented
352#2059C2×C8911yescharacteristic, complemented
353#2041C2×C8911yescharacteristic, complemented
354#2025C2×C8911yescharacteristic, complemented
355#2011C2×C8911yescharacteristic
356#1972C2×C8911yescharacteristic, complemented
357#1970C2×C8911yescharacteristic, complemented
358#1936C2×C8911yescharacteristic, complemented
359#1934C2×C8911yescharacteristic, complemented
360#1926C2×C8911yescharacteristic, complemented
361#1925C2×C8911yescharacteristic, complemented
362#1879C2×C8911yescharacteristic, complemented
363#1879C2×C8911yescharacteristic, complemented
364#1746C2×C8911yescharacteristic, complemented
365C89#2956411yescharacteristic, direct product factor, Sylow
366C22×D8C22×C8911yescharacteristic
367C22×D8C22×C8911yescharacteristic
368C2×#127C22×C8911yescharacteristic
369C2×#125C22×C8911yescharacteristic
370C2×C4×D4C22×C8911yescharacteristic
371C2×#107C22×C8911yescharacteristic
372C2×#106C22×C8911yescharacteristic
373C2×#102C22×C8911yescharacteristic
374C2×#102C22×C8911yescharacteristic
375C2×#102C22×C8911yescharacteristic
376C2×#102C22×C8911yescharacteristic
377C2×#102C22×C8911yescharacteristic
378C2×#102C22×C8911yescharacteristic
379C2×#102C22×C8911yescharacteristic
380C2×#102C22×C8911yescharacteristic
381C2×#97C22×C8911yescharacteristic
382C2×C4×C8C22×C8911yescharacteristic
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#390C22×C8911yescharacteristic
388#390C22×C8911yescharacteristic
389#390C22×C8911yescharacteristic
390#390C22×C8911yescharacteristic
391#390C22×C8911yescharacteristic
392#390C22×C8911yescharacteristic
393#389C22×C8911yescharacteristic
394#389C22×C8911yescharacteristic
395#388—21no—
396#388—21no—
397#381—21no—
398#380—21no—
399C4×C4⋊C4C22×C8911yescharacteristic
400#376C22×C8911yescharacteristic
401#340C22×C8911yescharacteristic
402#340C22×C8911yescharacteristic
403#340C22×C8911yescharacteristic
404#340C22×C8911yescharacteristic
405#336C22×C8911yescharacteristic
406#336C22×C8911yescharacteristic
407#336C22×C8911yescharacteristic
408#336C22×C8911yescharacteristic
409C22×D4—21no—
410C22×D4—21no—
411C22×D4C23×C8911yescharacteristic
412C22×D4C23×C8911yescharacteristic
413C22×D4C23×C8911yescharacteristic
414C23×C4—21no—
415C2×D8—22no—
416C2×D8—22no—
417C2×D8—22no—
418C2×D8—22no—
419C2×D8—41no—
420C2×D8—41no—
421C22×C8C23×C8911yescharacteristic
422C22×C8C23×C8911yescharacteristic
423C22×C8C23×C8911yescharacteristic
424C22×C8C23×C8911yescharacteristic
425#127—41no—
426#127—41no—
427#125—41no—
428#125—41no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4C23×C8911yescharacteristic
436C2×C4⋊C4C23×C8911yescharacteristic
437C2×C4⋊C4C23×C8911yescharacteristic
438C2×C4⋊C4C23×C8911yescharacteristic
439C2×C4⋊C4C23×C8911yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C42—21no—
454C2×C42C23×C8911yescharacteristic
455C2×C42C23×C8911yescharacteristic
456C2×C42C23×C8911yescharacteristic
457#107—41no—
458#106—41no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—22no—
463#102—41no—
464#102—41no—
465#102—41no—
466#102—41no—
467#97—22no—
468C4×C8—22no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95D4×C8911yescharacteristic
473#95D4×C8911yescharacteristic
474#95D4×C8911yescharacteristic
475#95D4×C8911yescharacteristic
476C24—21no—
477C24—21no—
478C24—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4#41×C8912yes—
503C22×C4—21no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4C2×D4×C8911yescharacteristic
512C22×C4C2×D4×C8911yescharacteristic
513C22×C4C2×D4×C8911yescharacteristic
514C22×C4C2×D4×C8911yescharacteristic
515C22×C4C2×D4×C8911yescharacteristic
516C22×C4C2×D4×C8911yescharacteristic
517C22×C4C24×C8911yescharacteristic
518D8—44no—
519D8—44no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8#41×C8912yes—
531C2×C8#41×C8912yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4#41×C8912yes—
546C22⋊C4—24no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C22⋊C4—81no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—81no—
566C23—22no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23C22×D4×C8911yescharacteristic
588D4—22no—
589D4—22no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—41no—
598D4—41no—
599D4—41no—
600D4—84no—
601D4—84no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
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—84no—
636C2×C4C2×#41×C8911yescharacteristic
637C2×C4C2×#41×C8911yescharacteristic
638C2×C4C2×#41×C8911yescharacteristic
639C2×C4C2×#41×C8911yescharacteristic
640C2×C4H(5,𝔽2)×C8911yescharacteristic
641C2×C4H(5,𝔽2)×C8911yescharacteristic
642C8—22no—
643C8—22no—
644C8—41no—
645C8—41no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22#525×C8911yescharacteristic
668C22#532×C8911yescharacteristic
669C22#535×C8911yescharacteristic
670C22#576×C8911yescharacteristic
671C22#576×C8911yescharacteristic
672C22#576×C8911yescharacteristic
673C22#577×C8911yescharacteristic
674C4—41no—
675C4—41no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—81no—
682C4—81no—
683C4—81no—
684C4—81no—
685C4#551×C8911yescharacteristic
686C4#551×C8911yescharacteristic
687C4#555×C8911yescharacteristic
688C4#555×C8911yescharacteristic
689C2—82no—
690C2—161no—
691C2—161no—
692C2C89×#261011yescharacteristic
693C2C89×#311911yescharacteristic
694C2C89×#312211yescharacteristic
695C2C89×#317611yescharacteristic
696C2C89×#317911yescharacteristic
697C2C89×#322011yescharacteristic
698C2C89×#322411yescharacteristic
subgroupG/H
center, socleC23×C89C22×D4
commutator, Frattini, cosocleC22×C4C24×C89
prime radicalC89×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C89 ◁ #376×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#2641C2semidirect
2. C89×#2319C2semidirect
3. C89×#2059C2semidirect
4. C89×#2041C2semidirect
5. C89×#2025C2semidirect
7. C89×#1972C2semidirect
8. C89×#1970C2semidirect
9. C89×#1936C2semidirect
10. C89×#1934C2semidirect
11. C89×#1926C2semidirect
12. C89×#1925C2semidirect
13. C89×#1879C2semidirect
14. C89×#1879C2semidirect
15. C89×#1746C2semidirect
339. #29564C89direct (N × H)
350. #2641C2×C89semidirect
351. #2319C2×C89semidirect
352. #2059C2×C89semidirect
353. #2041C2×C89semidirect
354. #2025C2×C89semidirect
356. #1972C2×C89semidirect
357. #1970C2×C89semidirect
358. #1936C2×C89semidirect
359. #1934C2×C89semidirect
360. #1926C2×C89semidirect
361. #1925C2×C89semidirect
362. #1879C2×C89semidirect
363. #1879C2×C89semidirect
364. #1746C2×C89semidirect
365. C89#29564direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#26412
C89×#23192
C89×#20592
C89×#20412
C89×#20252
C89×#20112
C89×#19722
C89×#19702
C89×#19362
C89×#19342
C89×#19262
C89×#19252
C89×#18792
C89×#17462
#2956489