Finite Group Databasebeta

← #13148870

Subgroups — #13148870

Order 1728.

774 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11721754C211yesmaximal, characteristic, complemented
2D3×C9×C4⋊C4C211yesmaximal, characteristic, complemented
3C3×#63456C211yesmaximal, characteristic, complemented
4#11721037C211yesmaximal, characteristic, complemented
5#11721034C211yesmaximal, characteristic, complemented
6#11721034C211yesmaximal, characteristic, complemented
7#11721030C211yesmaximal, characteristic, complemented
8C4×#6194C211yesmaximal, characteristic, complemented
9#11721002C211yesmaximal, characteristic, complemented
10#11720983C211yesmaximal, characteristic, complemented
11#11720976C211yesmaximal, characteristic, complemented
12#11720975C211yesmaximal, characteristic, complemented
13#11720946C211yesmaximal, characteristic, complemented
14#11720942C211yesmaximal, characteristic, complemented
15#11720914C211yesmaximal, characteristic, complemented
16#10594544—31nomaximal
17#10589616—31nomaximal
18C2×C4×D3×C9C2211yescharacteristic
19C2×C4×D3×C9C2211yescharacteristic
20C2×C4×D3×C9C2211yescharacteristic
21C2×C3×D36C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×#6195C2211yescharacteristic
24C2×#6194C2211yescharacteristic
25C2×#6194C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×#6192C2211yescharacteristic
28C2×(C3⋊D9)⋊C4C2211yescharacteristic
29C2×Dic3×D9C2211yescharacteristic
30C3×C9×C4⋊C4C2211yescharacteristic
31#88536C2211yescharacteristic
32#88536C2211yescharacteristic
33#88536C2211yescharacteristic
34C4⋊(C3⋊Dic9)C2211yescharacteristic
35#88534C2211yescharacteristic
36C4×C3⋊Dic9C2211yescharacteristic
37C3×(C2×D9)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C3×(C2×D9)⋊C4C2211yescharacteristic
40C9×C4⋊Dic3C2211yescharacteristic
41C9×Dic3⋊C4C2211yescharacteristic
42C9×Dic3⋊C4C2211yescharacteristic
43C3×Dic9⋊C4C2211yescharacteristic
44(C2×D3)⋊Dic9C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46(C2×D9)⋊Dic3C2211yescharacteristic
47(C2×D9)⋊Dic3C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49Dic3⋊Dic9C2211yescharacteristic
50#88442C2211yescharacteristic
51Dic3×Dic9C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53#64107—31no—
54C3×#894—31no—
55C3×D3×C4⋊C4D311yescharacteristic
56#63908—31no—
57#63906—31no—
58#63906—31no—
59#63904—31no—
60#63904—31no—
61C4×#625—31no—
62#63886—31no—
63#63879—31no—
64#63878—31no—
65#63858—31no—
66#63854—31no—
67#63845—31no—
68C2×C9×C4⋊C4—31no—
69#63492—31no—
70#63492—31no—
71#63492—31no—
72C4×#611—31no—
73C4×#611—31no—
74C4×#611—31no—
75#63460—31no—
76#63460—31no—
77#63460—61no—
78#63457—31no—
79#63456—31no—
80#63456D311yescharacteristic, complemented
81#63455—31no—
82#63454—31no—
83#63452—31no—
84C22×C3⋊D9C2311yescharacteristic
85C22×D3×C9C2311yescharacteristic
86C22×C3×D9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3⋊Dic9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C9×Dic3C2311yescharacteristic
95C2×C9×Dic3C2311yescharacteristic
96C2×C9×Dic3C2311yescharacteristic
97C2×C3×Dic9C2311yescharacteristic
98C2×C3×Dic9C2311yescharacteristic
99C4×D3×C9—22no—
100C4×D3×C9—41no—
101C4×D3×C9—41no—
102C3×D36—41no—
103C3×C4×D9—41no—
104#6195—22no—
105#6194—22no—
106#6194—22no—
107#6192—22no—
108#6192—41no—
109(C3⋊D9)⋊C4—41no—
110Dic3×D9—22no—
111#5661—91no—
112#5514—91no—
113C2×C3×D12—31no—
114C2×C3×C4×D3—31no—
115C2×C3×C4×D3C2×D311yescharacteristic
116C2×C3×C4×D3C2×D311yescharacteristic
117C2×C3×C4×D3C2×D311yescharacteristic
118C2×#626—31no—
119C2×#626—31no—
120C2×#626—31no—
121C2×#625—31no—
122C2×#625—31no—
123C2×#624—31no—
124C2×D3×Dic3—31no—
125C32×C4⋊C4C2×D311yescharacteristic
126#3752—31no—
127#3752—31no—
128#3752—31no—
129C4⋊(C3⋊Dic3)—31no—
130#3750—31no—
131C4×C3⋊Dic3—31no—
132C3×(C2×D3)⋊C4—31no—
133C3×(C2×D3)⋊C4—31no—
134C3×(C2×D3)⋊C4—31no—
135C3×C4⋊Dic3C2×D311yescharacteristic
136C3×Dic3⋊C4—31no—
137C3×Dic3⋊C4C2×D311yescharacteristic
138C3×Dic3⋊C4C2×D311yescharacteristic
139#3724—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142(C2×D3)⋊Dic3—31no—
143(C2×D3)⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145(C2×D3)⋊Dic3—31no—
146Dic32—31no—
147Dic32—31no—
148C22×C4×C9—31no—
149C22×C4×C9—31no—
150C22×C4×C9—31no—
151C2×#611—31no—
152C2×#611—31no—
153C2×#611—31no—
154C2×D36—31no—
155C2×D36—31no—
156C2×D36C2×D311yescharacteristic
157C2×C4×D9—31no—
158C2×C4×D9—31no—
159C2×C4×D9C2×D311yescharacteristic
160C9×C4⋊C4—21no—
161C9×C4⋊C4—31no—
162C9×C4⋊C4—31no—
163C9×C4⋊C4—31no—
164C9×C4⋊C4C2×D311yescharacteristic
165#3676—31no—
166(C2×D9)⋊C4—31no—
167(C2×D9)⋊C4—31no—
168(C2×D9)⋊C4—31no—
169(C2×D9)⋊C4—31no—
170(C2×D9)⋊C4—31no—
171(C2×D9)⋊C4—31no—
172(C2×D9)⋊C4—61no—
173(C2×D9)⋊C4—61no—
174(C2×D9)⋊C4—61no—
175(C2×D9)⋊C4C2×D311yescharacteristic
176(C2×D9)⋊C4C2×D311yescharacteristic
177(C2×D9)⋊C4C2×D311yescharacteristic
178C4⋊Dic9—31no—
179C4⋊Dic9—31no—
180C4⋊Dic9—31no—
181C4⋊Dic9—61no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—61no—
185Dic9⋊C4C2×D311yescharacteristic
186C4×Dic9—31no—
187C4×Dic9—31no—
188C4×Dic9—31no—
189C4×Dic9—61no—
190C22×C3×C9C2411yescharacteristic
191C2×C3⋊D9—21no—
192C2×C3⋊D9—21no—
193C2×C3⋊D9—21no—
194C2×D3×C9—21no—
195C2×D3×C9—21no—
196C2×D3×C9#4112yes—
197C2×C3×D9—21no—
198C2×C3×D9—21no—
199C2×C3×D9—21no—
200C2×C3×D9—21no—
201C2×C3×D9—21no—
202C2×C3×D9—21no—
203C3×C4×C9—21no—
204C3×C4×C9—21no—
205C3×C4×C9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C3⋊Dic9—21no—
209C9×Dic3—21no—
210C9×Dic3—21no—
211C9×Dic3#4112yes—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×#123—91no—
215C2×C3×C4⋊C4—31no—
216#939—91no—
217#938—91no—
218#930—91no—
219#930—91no—
220#930—91no—
221C4×#67—91no—
222C4×#67—91no—
223C4×#67—91no—
224C4×#67—91no—
225C4×#67—91no—
226#898—91no—
227#898—91no—
228#898—91no—
229#898—181no—
230#895—91no—
231#894—31no—
232#894—91no—
233#893—91no—
234#893—91no—
235#892—91no—
236D3×C4⋊C4D911yescharacteristic, complemented
237#890—91no—
238#889—91no—
239#884—91no—
240#884—91no—
241#883—91no—
242#67⋊C4—91no—
243#879—91no—
244#877—91no—
245C22×C3⋊D3—31no—
246C22×C3×D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3C22×D311yescharacteristic
249C2×C32×C4C22×D311yescharacteristic
250C2×C32×C4C22×D311yescharacteristic
251C2×C32×C4C22×D311yescharacteristic
252C2×C3⋊Dic3—31no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3C22×D311yescharacteristic
258C2×C3×Dic3C22×D311yescharacteristic
259C2×C3×Dic3C22×D311yescharacteristic
260C3×D12—121no—
261C3×C4×D3—22no—
262C3×C4×D3—41no—
263C3×C4×D3—41no—
264C3×C4×D3—121no—
265#626—62no—
266#626—62no—
267#626—121no—
268#625—62no—
269#625—62no—
270#624—121no—
271D3×Dic3—62no—
272C23×C9—31no—
273C22×D9—31no—
274C22×D9—61no—
275C22×D9C22×D311yescharacteristic
276C22×D9C22×D311yescharacteristic
277C2×C4×C9—21no—
278C2×C4×C9—21no—
279C2×C4×C9—21no—
280C2×C4×C9—31no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—62no—
284C2×C4×C9—121no—
285C2×C4×C9—121no—
286C2×C4×C9C22×D311yescharacteristic
287C2×C4×C9C22×D311yescharacteristic
288C2×C4×C9C22×D311yescharacteristic
289#611—62no—
290#611—62no—
291#611—62no—
292C2×Dic9—31no—
293C2×Dic9—31no—
294C2×Dic9—31no—
295C2×Dic9—61no—
296C2×Dic9—61no—
297C2×Dic9—61no—
298C2×Dic9C22×D311yescharacteristic
299C2×Dic9C22×D311yescharacteristic
300D36—41no—
301D36—62no—
302D36—121no—
303C4×D9—41no—
304C4×D9—62no—
305C4×D9—121no—
306#553—271noSylow
307C2×C3×C9C2×#4111yescharacteristic
308C2×C3×C9C2×#4111yescharacteristic
309C2×C3×C9H(5,𝔽2)11yescharacteristic
310C3⋊D9—41no—
311D3×C9—22no—
312C3×D9—41no—
313C3×D9—41no—
314C2×C3×D4—91no—
315C22×C3×C4—31no—
316C22×C3×C4—31no—
317C22×C3×C4—31no—
318C22×C3×C4—91no—
319C2×#67—91no—
320C2×#67—91no—
321C2×#67—91no—
322C2×#67—91no—
323C2×#67—91no—
324C2×#67—91no—
325C2×#67—91no—
326C22×Dic3—91no—
327C2×D12—31no—
328C2×D12—91no—
329C2×D12—91no—
330C2×D12—91no—
331C2×C4×D3—31no—
332C2×C4×D3—91no—
333C2×C4×D3—91no—
334C2×C4×D3—91no—
335C2×C4×D3C2×D911yescharacteristic
336C2×C4×D3C2×D911yescharacteristic
337C2×C4×D3C2×D911yescharacteristic
338C3×C4⋊C4—21no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—91no—
343C3×C4⋊C4C2×D911yescharacteristic
344C3×C4⋊C4D3211yescharacteristic
345C3×C22⋊C4—91no—
346C3×C22⋊C4—91no—
347C3×C22⋊C4—91no—
348#217—91no—
349#217—91no—
350#217—91no—
351#217—91no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—91no—
356(C2×D3)⋊C4—91no—
357(C2×D3)⋊C4—91no—
358(C2×D3)⋊C4—91no—
359(C2×D3)⋊C4—91no—
360(C2×D3)⋊C4—91no—
361(C2×D3)⋊C4—91no—
362(C2×D3)⋊C4—91no—
363(C2×D3)⋊C4—91no—
364(C2×D3)⋊C4—91no—
365(C2×D3)⋊C4—181no—
366(C2×D3)⋊C4—181no—
367(C2×D3)⋊C4—181no—
368C4⋊Dic3—91no—
369C4⋊Dic3—91no—
370C4⋊Dic3—91no—
371C4⋊Dic3—91no—
372C4⋊Dic3—181no—
373C4⋊Dic3C2×D911yescharacteristic
374Dic3⋊C4—31no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4—91no—
378Dic3⋊C4—91no—
379Dic3⋊C4—91no—
380Dic3⋊C4—91no—
381Dic3⋊C4—181no—
382Dic3⋊C4C2×D911yescharacteristic
383Dic3⋊C4C2×D911yescharacteristic
384C4×Dic3—91no—
385C4×Dic3—91no—
386C4×Dic3—91no—
387C4×Dic3—91no—
388C4×Dic3—91no—
389C4×Dic3—91no—
390C4×Dic3—181no—
391C22×C32C23×D311yescharacteristic
392C2×C3⋊D3—61no—
393C2×C3⋊D3—61no—
394C2×C3⋊D3—61no—
395C2×C3×D3—21no—
396C2×C3×D3—21no—
397C2×C3×D3—61no—
398C2×C3×D3—61no—
399C2×C3×D3—61no—
400C2×C3×D3—61no—
401C2×C3×D3—61no—
402C2×C3×D3—61no—
403C2×C3×D3#23912yes—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—21no—
407C3⋊Dic3—61no—
408C3⋊Dic3—61no—
409C3⋊Dic3—61no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—61no—
413C3×Dic3—61no—
414C3×Dic3#23512yes—
415C22×C9—21no—
416C22×C9—32no—
417C22×C9—61no—
418C22×C9—61no—
419C22×C9C23×D311yescharacteristic
420C2×D9—21no—
421C2×D9—21no—
422C2×D9—21no—
423C2×D9—21no—
424C2×D9—21no—
425C2×D9—21no—
426C2×D9—61no—
427C2×D9—61no—
428C2×D9—61no—
429C2×D9—121no—
430C2×D9—121no—
431C2×D9—121no—
432C4×C9—21no—
433C4×C9—21no—
434C4×C9—21no—
435C4×C9—32no—
436C4×C9—41no—
437C4×C9—41no—
438C4×C9—41no—
439C4×C9—61no—
440C4×C9—61no—
441Dic9—21no—
442Dic9—21no—
443Dic9—61no—
444Dic9—61no—
445Dic9—61no—
446Dic9—121no—
447Dic9—121no—
448Dic9—121no—
449#126—271no—
450#126—271no—
451#125—271no—
452#123—91no—
453#123—271no—
454#121—271no—
455#121—271no—
456#121—271no—
457#121—271no—
458C4×D4—271no—
459C4×D4—271no—
460C4×D4—271no—
461C4×D4—271no—
462#117—271no—
463C2×C4⋊C4—31no—
464C3×C9#55311yescharacteristic, complemented, Sylow
465C23×C3—31no—
466C23×C3—91no—
467C23×C3—91no—
468C22×D3—31no—
469C22×D3—31no—
470C22×D3—91no—
471C22×D3—91no—
472C22×D3—181no—
473C22×D3C22×D911yescharacteristic
474C3×D4—361no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—62no—
482C2×C3×C4—91no—
483C2×C3×C4—91no—
484C2×C3×C4—121no—
485C2×C3×C4—121no—
486C2×C3×C4—361no—
487C2×C3×C4C22×D911yescharacteristic
488C2×C3×C4C22×D911yescharacteristic
489C2×C3×C4C22×D911yescharacteristic
490C2×C3×C4C2×D3211yescharacteristic
491C2×C3×C4C2×D3211yescharacteristic
492C2×C3×C4C2×D3211yescharacteristic
493#67—182no—
494#67—182no—
495#67—182no—
496#67—182no—
497#67—182no—
498#67—182no—
499#67—361no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—91no—
503C2×Dic3—91no—
504C2×Dic3—91no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—91no—
508C2×Dic3—181no—
509C2×Dic3—181no—
510C2×Dic3—181no—
511C2×Dic3—182no—
512C2×Dic3C22×D911yescharacteristic
513C2×Dic3C22×D911yescharacteristic
514C2×Dic3C22×D911yescharacteristic
515D12—121no—
516D12—182no—
517D12—182no—
518D12—361no—
519C4×D3—22no—
520C4×D3—41no—
521C4×D3—41no—
522C4×D3—121no—
523C4×D3—182no—
524C4×D3—361no—
525C4×D3—361no—
526C2×C32C2×#23511yescharacteristic
527C2×C32#100411yescharacteristic
528C2×C32C2×#23911yescharacteristic
529C3⋊D3—121no—
530C3×D3—22no—
531C3×D3—121no—
532C3×D3—121no—
533C2×C9—21no—
534C2×C9—21no—
535C2×C9—21no—
536C2×C9—62no—
537C2×C9#100411yescharacteristic
538C2×C9D3×#4111yescharacteristic
539C2×C9D3×#4111yescharacteristic
540D9—41no—
541D9—41no—
542D9—121no—
543D9—241no—
544C2×D4—91no—
545C2×D4—271no—
546C2×D4—271no—
547C2×D4—271no—
548C2×D4—271no—
549C2×D4—271no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—91no—
554C22×C4—271no—
555C22×C4—271no—
556C4⋊C4—31no—
557C4⋊C4—31no—
558C4⋊C4—31no—
559C4⋊C4—91no—
560C4⋊C4—271no—
561C4⋊C4—271no—
562C4⋊C4—271no—
563C4⋊C4—271no—
564C4⋊C4—271no—
565C4⋊C4D3×D911yescharacteristic
566C22⋊C4—91no—
567C22⋊C4—91no—
568C22⋊C4—91no—
569C22⋊C4—271no—
570C22⋊C4—271no—
571C22⋊C4—271no—
572C22⋊C4—271no—
573C22⋊C4—271no—
574C22⋊C4—271no—
575C22⋊C4—271no—
576C42—271no—
577C42—271no—
578C42—271no—
579C22×C3—21no—
580C22×C3—32no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3—181no—
584C22×C3—181no—
585C22×C3—181no—
586C22×C3—181no—
587C22×C3—181no—
588C22×C3—181no—
589C22×C3C23×D911yescharacteristic
590C22×C3C22×D3211yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—61no—
594C2×D3—61no—
595C2×D3—61no—
596C2×D3—61no—
597C2×D3—61no—
598C2×D3—61no—
599C2×D3—181no—
600C2×D3—181no—
601C2×D3—181no—
602C2×D3—181no—
603C2×D3—181no—
604C2×D3—181no—
605C2×D3—361no—
606C2×D3—361no—
607C2×D3—361no—
608C2×D3#370112yes—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—32no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—181no—
622C3×C4—181no—
623Dic3—21no—
624Dic3—21no—
625Dic3—61no—
626Dic3—61no—
627Dic3—181no—
628Dic3—181no—
629Dic3—181no—
630Dic3—181no—
631Dic3—181no—
632Dic3—181no—
633Dic3—361no—
634Dic3—361no—
635Dic3—361no—
636Dic3#369712yes—
637C32#551411yescharacteristic
638C9—21no—
639C9#566111yescharacteristic, complemented
640C23—31no—
641C23—91no—
642C23—91no—
643C23—271no—
644D4—361no—
645D4—542no—
646D4—542no—
647D4—542no—
648D4—542no—
649D4—1081no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—31no—
653C2×C4—62no—
654C2×C4—91no—
655C2×C4—91no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—271no—
659C2×C4—271no—
660C2×C4—271no—
661C2×C4—361no—
662C2×C4—542no—
663C2×C4—1081no—
664C2×C4C2×D3×D911yescharacteristic
665C2×C4C2×D3×D911yescharacteristic
666C2×C4C2×D3×D911yescharacteristic
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—62no—
671C2×C3—361no—
672C2×C3—361no—
673C2×C3C2×#369711yescharacteristic
674C2×C3#6371011yescharacteristic
675C2×C3C2×#370111yescharacteristic
676C2×C3D3×#23511yescharacteristic
677C2×C3#6431311yescharacteristic
678C2×C3D3×#23911yescharacteristic
679D3—22no—
680D3—121no—
681D3—121no—
682D3—361no—
683D3—361no—
684D3—721no—
685C22—32no—
686C22—61no—
687C22—61no—
688C22—181no—
689C22—181no—
690C22—181no—
691C22—181no—
692C22—181no—
693C22—181no—
694C22—541no—
695C22—541no—
696C22—541no—
697C22C22×D3×D911yescharacteristic
698C4—21no—
699C4—21no—
700C4—21no—
701C4—32no—
702C4—61no—
703C4—61no—
704C4—181no—
705C4—181no—
706C4—541no—
707C4—541no—
708C4—541no—
709C3—21no—
710C3#1058961611yescharacteristic, complemented
711C3#1059454411yescharacteristic
712C2—62no—
713C2—361no—
714C2—361no—
715C2—1081no—
716C2D3×#369711yescharacteristic
717C2#1172249911yescharacteristic
718C2D3×#370111yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#553
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #11721754C2semidirect
2. D3×C9×C4⋊C4C2semidirect
3. C3×#63456C2semidirect
4. #11721037C2semidirect
5. #11721034C2semidirect
6. #11721034C2semidirect
7. #11721030C2semidirect
8. C4×#6194C2semidirect
9. #11721002C2semidirect
10. #11720983C2semidirect
11. #11720976C2semidirect
12. #11720975C2semidirect
13. #11720946C2semidirect
14. #11720942C2semidirect
15. #11720914C2semidirect
80. #63456D3semidirect
236. D3×C4⋊C4D9semidirect
464. C3×C9#553semidirect
639. C9#5661semidirect
710. C3#10589616semidirect

Maximal subgroups

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

subgroupindex
#117217542
D3×C9×C4⋊C42
C3×#634562
#117210372
#117210342
#117210302
C4×#61942
#117210022
#117209832
#117209762
#117209752
#117209462
#117209422
#117209142
#105945443
#105896163