Finite Group Databasebeta

← #11810292

Subgroups — #11810292

Order 1152.

1200 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63499C211yesmaximal, characteristic
2C2×#63491C211yesmaximal, characteristic, complemented
3C2×C4×#611C211yesmaximal, characteristic, complemented
4C2×C22⋊C4×D9C211yesmaximal, characteristic, complemented
5C9×#386C211yesmaximal, characteristic, complemented
6#10588902C211yesmaximal, characteristic, complemented
7#10588641C211yesmaximal, characteristic, complemented
8#10588636C211yesmaximal, characteristic, complemented
9#10588635C211yesmaximal, characteristic, complemented
10#10588629C211yesmaximal, characteristic, complemented
11#10588625C211yesmaximal, characteristic, complemented
12#10588355C211yesmaximal, characteristic, complemented
13#10588349C211yesmaximal, characteristic, complemented
14#10588348C211yesmaximal, characteristic, complemented
15#10588347C211yesmaximal, characteristic, complemented
16#74892—31nomaximal
17C24×D9C2211yescharacteristic
18C22×D4×C9C2211yescharacteristic
19C23×C4×C9C2211yescharacteristic, complemented
20C22×#611C2211yescharacteristic
21C22×#611C2211yescharacteristic
22C22×C4×D9C2211yescharacteristic
23C22×C4×D9C2211yescharacteristic
24C2×C9×C22⋊C4C2211yescharacteristic
25C2×C9×C22⋊C4C2211yescharacteristic
26C2×C9×C22⋊C4C2211yescharacteristic, complemented
27C2×#3676C2211yescharacteristic
28C2×#3676C2211yescharacteristic
29C2×#3676C2211yescharacteristic
30C2×#3676C2211yescharacteristic, complemented
31C2×#3676C2211yescharacteristic, complemented
32#63499—24no—
33#63491—24no—
34C4×#611—24no—
35C2×(C2×D9)⋊C4C2211yescharacteristic
36C2×(C2×D9)⋊C4C2211yescharacteristic
37C2×(C2×D9)⋊C4C2211yescharacteristic
38C2×(C2×D9)⋊C4C2211yescharacteristic
39C2×(C2×D9)⋊C4C2211yescharacteristic
40C2×(C2×D9)⋊C4C2211yescharacteristic
41C2×(C2×D9)⋊C4C2211yescharacteristic
42C2×(C2×D9)⋊C4C2211yescharacteristic
43C2×C4⋊Dic9C2211yescharacteristic, complemented
44C2×Dic9⋊C4C2211yescharacteristic, complemented
45C2×Dic9⋊C4C2211yescharacteristic, complemented
46C2×Dic9⋊C4C2211yescharacteristic, complemented
47C2×Dic9⋊C4C2211yescharacteristic, complemented
48C2×C4×Dic9C2211yescharacteristic, complemented
49C22⋊C4×D9—24no—
50C9×#95C2211yescharacteristic, complemented
51C9×#95C2211yescharacteristic, complemented
52C9⋊#95C2211yescharacteristic, complemented
53C9⋊#95C2211yescharacteristic, complemented
54C9⋊#95C2211yescharacteristic, complemented
55C9⋊#95C2211yescharacteristic, complemented
56C2×#937—31no—
57C2×#929—31no—
58C2×C4×#67—31no—
59C2×D3×C22⋊C4—31no—
60C3×#386D311yescharacteristic
61#5222—31no—
62#4961—31no—
63#4956—31no—
64#4955—31no—
65#4949—31no—
66#4945—31no—
67#4675—31no—
68#4669—31no—
69#4668—31no—
70#4667—31no—
71C24×C9C2311yescharacteristic
72C24×C9C2311yescharacteristic
73C23×D9—22no—
74C23×D9—22no—
75C23×D9—22no—
76C23×D9—22no—
77C23×D9—22no—
78C23×D9—41no—
79C23×D9—41no—
80C23×D9C2311yescharacteristic
81C23×D9C2311yescharacteristic
82C2×D4×C9—22no—
83C2×D4×C9—22no—
84C2×D4×C9—41no—
85C22×C4×C9—22no—
86C22×C4×C9—22no—
87C22×C4×C9—41no—
88C22×C4×C9C2311yescharacteristic
89C22×C4×C9C2311yescharacteristic
90C22×C4×C9C2311yescharacteristic
91C22×C4×C9C2311yescharacteristic
92C22×C4×C9C2311yescharacteristic
93C2×#611—22no—
94C2×#611—22no—
95C2×#611—22no—
96C2×#611—22no—
97C2×#611—41no—
98C2×#611D414yes—
99C22×Dic9C2311yescharacteristic
100C22×Dic9C2311yescharacteristic
101C22×Dic9C2311yescharacteristic
102C22×Dic9C2311yescharacteristic
103C22×Dic9C2311yescharacteristic
104C22×Dic9C2311yescharacteristic
105C2×C4×D9—22no—
106C2×C4×D9—22no—
107C2×C4×D9—22no—
108C2×C4×D9—22no—
109C2×C4×D9—41no—
110C2×C4×D9—41no—
111C9×C22⋊C4—22no—
112C9×C22⋊C4—41no—
113C9×C22⋊C4—41no—
114#3676—22no—
115#3676—22no—
116#3676—22no—
117#3676—22no—
118#3676—22no—
119(C2×D9)⋊C4—22no—
120(C2×D9)⋊C4—22no—
121(C2×D9)⋊C4—22no—
122(C2×D9)⋊C4—22no—
123(C2×D9)⋊C4—22no—
124(C2×D9)⋊C4—22no—
125(C2×D9)⋊C4—41no—
126(C2×D9)⋊C4D414yescomplemented
127C4⋊Dic9—41no—
128Dic9⋊C4—22no—
129Dic9⋊C4—22no—
130Dic9⋊C4—22no—
131Dic9⋊C4—41no—
132C4×Dic9—22no—
133#2418—91noSylow
134C24×D3—31no—
135C22×C3×D4C2×D311yescharacteristic
136C23×C3×C4C2×D311yescharacteristic
137C22×#67—31no—
138C22×#67—31no—
139C22×C4×D3—31no—
140C22×C4×D3—31no—
141C2×C3×C22⋊C4C2×D311yescharacteristic
142C2×C3×C22⋊C4C2×D311yescharacteristic
143C2×C3×C22⋊C4C2×D311yescharacteristic
144C2×#217—31no—
145C2×#217—31no—
146C2×#217—31no—
147C2×#217—31no—
148C2×#217—31no—
149#937—64no—
150#929—64no—
151C4×#67—64no—
152C2×(C2×D3)⋊C4—31no—
153C2×(C2×D3)⋊C4—31no—
154C2×(C2×D3)⋊C4—31no—
155C2×(C2×D3)⋊C4—31no—
156C2×(C2×D3)⋊C4—31no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—31no—
160C2×C4⋊Dic3—31no—
161C2×Dic3⋊C4—31no—
162C2×Dic3⋊C4—31no—
163C2×Dic3⋊C4—31no—
164C2×Dic3⋊C4—31no—
165C2×C4×Dic3—31no—
166D3×C22⋊C4—64no—
167C3×#95C2×D311yescharacteristic
168C3×#95C2×D311yescharacteristic
169C3⋊#95—31no—
170C3⋊#95—31no—
171C3⋊#95—31no—
172C3⋊#95—31no—
173C23×C9—21no—
174C23×C9—21no—
175C23×C9—21no—
176C23×C9—21no—
177C23×C9—21no—
178C23×C9—21no—
179C23×C9—21no—
180C23×C9—21no—
181C23×C9—21no—
182C23×C9—21no—
183C23×C9—21no—
184C23×C9—21no—
185C23×C9C2×D412yes—
186C23×C9#4112yes—
187C23×C9C2411yescharacteristic
188C22×D9—21no—
189C22×D9—21no—
190C22×D9—21no—
191C22×D9—21no—
192C22×D9—28no—
193C22×D9—21no—
194C22×D9—21no—
195C22×D9—21no—
196C22×D9—21no—
197C22×D9—21no—
198C22×D9—21no—
199C22×D9—44no—
200C22×D9—44no—
201C22×D9—44no—
202C22×D9—44no—
203C22×D9—44no—
204C22×D9—44no—
205C22×D9C2×D412yes—
206C22×D9C2×D412yes—
207C22×D9#4112yes—
208C22×D9#4112yes—
209D4×C9—44no—
210C2×C4×C9—21no—
211C2×C4×C9—21no—
212C2×C4×C9—21no—
213C2×C4×C9—21no—
214C2×C4×C9—21no—
215C2×C4×C9—21no—
216C2×C4×C9—21no—
217C2×C4×C9—21no—
218C2×C4×C9—21no—
219C2×C4×C9—21no—
220C2×C4×C9—21no—
221C2×C4×C9—21no—
222C2×C4×C9—21no—
223C2×C4×C9—21no—
224C2×C4×C9—44no—
225C2×C4×C9C2×D412yes—
226#611—28no—
227#611—44no—
228C2×Dic9—21no—
229C2×Dic9—21no—
230C2×Dic9—21no—
231C2×Dic9—21no—
232C2×Dic9—21no—
233C2×Dic9—21no—
234C2×Dic9—21no—
235C2×Dic9—21no—
236C2×Dic9—21no—
237C2×Dic9—21no—
238C2×Dic9—21no—
239C2×Dic9—21no—
240C2×Dic9—21no—
241C2×Dic9—21no—
242C2×Dic9—21no—
243C2×Dic9—21no—
244C2×Dic9C2×D412yes—
245C2×Dic9C2×D412yes—
246C4×D9—44no—
247C4×D9—44no—
248C2×#123—91no—
249C2×#120—91no—
250C2×C4×D4—91no—
251C22×C22⋊C4—91no—
252#399—91no—
253#397—91no—
254#394—91no—
255#394—91no—
256#388—91no—
257#388—91no—
258#386—91no—
259#386D911yescharacteristic, complemented
260#385—91no—
261#380—91no—
262#379—91no—
263C24×C3C22×D311yescharacteristic
264C24×C3C22×D311yescharacteristic
265C23×D3—31no—
266C23×D3—31no—
267C23×D3—62no—
268C23×D3—62no—
269C23×D3—62no—
270C23×D3—62no—
271C23×D3—62no—
272C23×D3—121no—
273C23×D3—121no—
274C2×C3×D4—22no—
275C2×C3×D4—22no—
276C2×C3×D4—41no—
277C22×C3×C4—22no—
278C22×C3×C4—22no—
279C22×C3×C4—41no—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C22×C3×C4C22×D311yescharacteristic
283C22×C3×C4C22×D311yescharacteristic
284C22×C3×C4C22×D311yescharacteristic
285C2×#67—34no—
286C2×#67—62no—
287C2×#67—62no—
288C2×#67—62no—
289C2×#67—62no—
290C2×#67—121no—
291C22×Dic3—31no—
292C22×Dic3—31no—
293C22×Dic3—31no—
294C22×Dic3—31no—
295C22×Dic3—31no—
296C22×Dic3—31no—
297C2×C4×D3—62no—
298C2×C4×D3—62no—
299C2×C4×D3—62no—
300C2×C4×D3—62no—
301C2×C4×D3—121no—
302C2×C4×D3—121no—
303C3×C22⋊C4—22no—
304C3×C22⋊C4—41no—
305C3×C22⋊C4—41no—
306#217—62no—
307#217—62no—
308#217—62no—
309#217—62no—
310#217—62no—
311(C2×D3)⋊C4—34no—
312(C2×D3)⋊C4—62no—
313(C2×D3)⋊C4—62no—
314(C2×D3)⋊C4—62no—
315(C2×D3)⋊C4—62no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—121no—
319C4⋊Dic3—121no—
320Dic3⋊C4—62no—
321Dic3⋊C4—62no—
322Dic3⋊C4—62no—
323Dic3⋊C4—121no—
324C4×Dic3—62no—
325C22×C9—22no—
326C22×C9—22no—
327C22×C9—22no—
328C22×C9—22no—
329C22×C9—22no—
330C22×C9—22no—
331C22×C9—41no—
332C22×C9—41no—
333C22×C9—41no—
334C22×C9—41no—
335C22×C9—41no—
336C22×C9—41no—
337C22×C9—41no—
338C22×C9—41no—
339C22×C9C22×D411yescharacteristic
340C22×C9C22×D411yescharacteristic
341C22×C9C2×#4111yescharacteristic
342C22×C9C2×#4111yescharacteristic
343C22×C9C2×#4111yescharacteristic
344C22×C9H(5,𝔽2)11yescharacteristic
345C22×C9H(5,𝔽2)11yescharacteristic
346C2×D9—22no—
347C2×D9—22no—
348C2×D9—22no—
349C2×D9—22no—
350C2×D9—22no—
351C2×D9—22no—
352C2×D9—22no—
353C2×D9—22no—
354C2×D9—22no—
355C2×D9—416no—
356C2×D9—41no—
357C2×D9—41no—
358C2×D9—41no—
359C2×D9—41no—
360C2×D9#12314yescomplemented
361C4×C9—22no—
362C4×C9—41no—
363C4×C9—41no—
364C4×C9—41no—
365C4×C9—41no—
366Dic9—22no—
367Dic9—22no—
368Dic9—41no—
369Dic9—41no—
370Dic9—41no—
371Dic9—41no—
372C25—91no—
373C22×D4—91no—
374C22×D4—91no—
375C22×D4C2×D911yescharacteristic
376C23×C4—91no—
377C23×C4—91no—
378C23×C4C2×D911yescharacteristic, complemented
379#123—184no—
380#120—184no—
381C4×D4—184no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C22⋊C4—91no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—91no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C22⋊C4—91no—
400C2×C22⋊C4—184no—
401C2×C22⋊C4C2×D911yescharacteristic
402C2×C22⋊C4C2×D911yescharacteristic
403C2×C22⋊C4C2×D911yescharacteristic, complemented
404C2×C42—91no—
405#95—91no—
406#95—91no—
407#95—91no—
408#95—91no—
409#95C2×D911yescharacteristic, complemented
410#95C2×D911yescharacteristic, complemented
411C23×C3—21no—
412C23×C3—21no—
413C23×C3—21no—
414C23×C3—21no—
415C23×C3—21no—
416C23×C3—21no—
417C23×C3—21no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—21no—
421C23×C3—21no—
422C23×C3—21no—
423C23×C3#23512yes—
424C23×C3D3×D412yes—
425C23×C3C23×D311yescharacteristic
426C22×D3—32no—
427C22×D3—32no—
428C22×D3—32no—
429C22×D3—32no—
430C22×D3—61no—
431C22×D3—61no—
432C22×D3—61no—
433C22×D3—61no—
434C22×D3—68no—
435C22×D3—61no—
436C22×D3—61no—
437C22×D3—61no—
438C22×D3—61no—
439C22×D3—61no—
440C22×D3—61no—
441C22×D3—124no—
442C22×D3—124no—
443C22×D3—124no—
444C22×D3—124no—
445C22×D3—124no—
446C22×D3—124no—
447C3×D4—44no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—44no—
463C2×C3×C4D3×D412yes—
464#67—68no—
465#67—124no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—61no—
469C2×Dic3—61no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—61no—
473C2×Dic3—61no—
474C2×Dic3—61no—
475C2×Dic3—61no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484C4×D3—124no—
485C4×D3—124no—
486C2×C9—42no—
487C2×C9—42no—
488C2×C9C2×#12311yescharacteristic
489C2×C9#52511yescharacteristic
490C2×C9#53811yescharacteristic
491C2×C9D4211yescharacteristic
492C2×C9#54611yescharacteristic
493C2×C9#54611yescharacteristic
494C2×C9#55111yescharacteristic
495D9—24no—
496D9—42no—
497C24—91no—
498C24—91no—
499C24—182no—
500C24—182no—
501C24—182no—
502C24—182no—
503C24—182no—
504C24—361no—
505C24—361no—
506C24C22×D911yescharacteristic
507C24C22×D911yescharacteristic
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—41no—
511C2×D4—94no—
512C2×D4—182no—
513C2×D4—182no—
514C2×D4—182no—
515C2×D4—182no—
516C2×D4—361no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—41no—
520C22×C4—91no—
521C22×C4—91no—
522C22×C4—91no—
523C22×C4—91no—
524C22×C4—91no—
525C22×C4—91no—
526C22×C4—182no—
527C22×C4—182no—
528C22×C4—182no—
529C22×C4—182no—
530C22×C4—361no—
531C22×C4—361no—
532C22×C4C22×D911yescharacteristic
533C22×C4C22×D911yescharacteristic
534C22×C4C22×D911yescharacteristic
535C22×C4C22×D911yescharacteristic
536C22×C4C22×D911yescharacteristic
537C4⋊C4—182no—
538C4⋊C4—182no—
539C4⋊C4—182no—
540C4⋊C4—361no—
541C4⋊C4—361no—
542C22⋊C4—22no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—94no—
546C22⋊C4—182no—
547C22⋊C4—182no—
548C22⋊C4—182no—
549C22⋊C4—182no—
550C22⋊C4—182no—
551C22⋊C4—182no—
552C22⋊C4—182no—
553C22⋊C4—182no—
554C22⋊C4—182no—
555C22⋊C4—182no—
556C22⋊C4—182no—
557C22⋊C4—361no—
558C42—182no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3C2×#23511yescharacteristic
574C22×C3C2×D3×D411yescharacteristic
575C22×C3C2×D3×D411yescharacteristic
576C22×C3#100411yescharacteristic
577C22×C3#100411yescharacteristic
578C22×C3D3×#4111yescharacteristic
579C22×C3D3×#4111yescharacteristic
580C2×D3—34no—
581C2×D3—62no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—1216no—
591C2×D3—121no—
592C2×D3—121no—
593C2×D3—121no—
594C2×D3—121no—
595C3×C4—22no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—41no—
600Dic3—62no—
601Dic3—62no—
602Dic3—121no—
603Dic3—121no—
604Dic3—121no—
605Dic3—121no—
606C9#241811yescharacteristic, complemented, Sylow
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—92no—
620C23—92no—
621C23—92no—
622C23—92no—
623C23—188no—
624C23—181no—
625C23—181no—
626C23—181no—
627C23—181no—
628C23—181no—
629C23—181no—
630C23—181no—
631C23—181no—
632C23—181no—
633C23—181no—
634C23—364no—
635C23—364no—
636C23—364no—
637C23—364no—
638C23—364no—
639C23—364no—
640C23#369712yes—
641C23D4×D912yes—
642C23C23×D911yescharacteristic
643D4—44no—
644D4—188no—
645D4—364no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—44no—
661C2×C4—92no—
662C2×C4—92no—
663C2×C4—181no—
664C2×C4—181no—
665C2×C4—181no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4—181no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—181no—
672C2×C4—181no—
673C2×C4—181no—
674C2×C4—181no—
675C2×C4—181no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—181no—
679C2×C4—364no—
680C2×C4—364no—
681C2×C4D4×D912yes—
682C2×C3—42no—
683C2×C3—42no—
684C2×C3#549011yescharacteristic
685C2×C3#554711yescharacteristic
686C2×C3#555611yescharacteristic
687C2×C3#559011yescharacteristic
688C2×C3#561211yescharacteristic
689C2×C3#561311yescharacteristic
690C2×C3D3×#12311yescharacteristic
691D3—64no—
692D3—122no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—94no—
708C22—182no—
709C22—182no—
710C22—182no—
711C22—182no—
712C22—182no—
713C22—182no—
714C22—182no—
715C22—182no—
716C22—182no—
717C22—3616no—
718C22—361no—
719C22—361no—
720C22—361no—
721C22—361no—
722C22C2×#369711yescharacteristic
723C22C2×D4×D911yescharacteristic
724C22C2×D4×D911yescharacteristic
725C22#6371011yescharacteristic
726C22#6371011yescharacteristic
727C22#41×D911yescharacteristic
728C22#41×D911yescharacteristic
729C4—22no—
730C4—41no—
731C4—41no—
732C4—41no—
733C4—41no—
734C4—182no—
735C4—182no—
736C4—361no—
737C4—361no—
738C4—361no—
739C4—361no—
740C3#7489211yescharacteristic
741C2—42no—
742C2—42no—
743C2—184no—
744C2—362no—
745C2#1058959211yescharacteristic
746C2#1058964911yescharacteristic
747C2#1058965811yescharacteristic
748C2#1058969211yescharacteristic
749C2#1058971411yescharacteristic
750C2#1058971511yescharacteristic
751C2D9×#12311yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC23×C9C24
Frattini, socleC23×C3C23×D3
FittingC9×#386C2
prime radicalC2×#63499C2
hypercenter#386D9
hypocenterC9#2418
LCSG ▷ C23×C9 ▷ C9
UCSC1 ◁ C23 ◁ #386

Complements

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

NH ≅ G/Ntype
2. C2×#63491C2semidirect
3. C2×C4×#611C2semidirect
4. C2×C22⋊C4×D9C2semidirect
5. C9×#386C2semidirect
6. #10588902C2semidirect
7. #10588641C2semidirect
8. #10588636C2semidirect
9. #10588635C2semidirect
10. #10588629C2semidirect
11. #10588625C2semidirect
12. #10588355C2semidirect
13. #10588349C2semidirect
14. #10588348C2semidirect
15. #10588347C2semidirect
19. C23×C4×C9C22semidirect
26. C2×C9×C22⋊C4C22semidirect
30. C2×#3676C22semidirect
31. C2×#3676C22semidirect
43. C2×C4⋊Dic9C22semidirect
44. C2×Dic9⋊C4C22semidirect
45. C2×Dic9⋊C4C22semidirect
46. C2×Dic9⋊C4C22semidirect
47. C2×Dic9⋊C4C22semidirect
48. C2×C4×Dic9C22semidirect
50. C9×#95C22semidirect
51. C9×#95C22semidirect
52. C9⋊#95C22semidirect
53. C9⋊#95C22semidirect
54. C9⋊#95C22semidirect
55. C9⋊#95C22semidirect
126. (C2×D9)⋊C4D4semidirect
259. #386D9semidirect
360. C2×D9#123semidirect
378. C23×C4C2×D9semidirect
403. C2×C22⋊C4C2×D9semidirect
409. #95C2×D9semidirect
410. #95C2×D9semidirect
606. C9#2418semidirect

Maximal subgroups

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

subgroupindex
C2×#634992
C2×#634912
C2×C4×#6112
C2×C22⋊C4×D92
C9×#3862
#105889022
#105886412
#105886362
#105886352
#105886292
#105886252
#105883552
#105883492
#105883482
#105883472
#748923