Finite Group Databasebeta

← #13150252

Subgroups — #13150252

Order 1728.

808 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#6233C211yesmaximal, characteristic, complemented
2C4×C9×#67C211yesmaximal, characteristic, complemented
3C3×#63491C211yesmaximal, characteristic, complemented
4#11721270C211yesmaximal, characteristic, complemented
5#11721262C211yesmaximal, characteristic, complemented
6#11721256C211yesmaximal, characteristic, complemented
7#11721246C211yesmaximal, characteristic, complemented
8#11721041C211yesmaximal, characteristic, complemented
9#11721032C211yesmaximal, characteristic, complemented
10#11721030C211yesmaximal, characteristic, complemented
11#11720980C211yesmaximal, characteristic, complemented
12#11720977C211yesmaximal, characteristic, complemented
13#11720975C211yesmaximal, characteristic, complemented
14#11720966C211yesmaximal, characteristic, complemented
15#11720925C211yesmaximal, characteristic, complemented
16#10595025—31nomaximal
17#10589660—31nomaximal
18C22×C3×C4×C9C2211yescharacteristic
19C2×#6233C2211yescharacteristic
20C2×C4×C3⋊D9C2211yescharacteristic
21C2×C9×#67C2211yescharacteristic
22C2×C3×#611C2211yescharacteristic
23C2×C4×D3×C9C2211yescharacteristic
24C2×#6195C2211yescharacteristic
25C2×#6194C2211yescharacteristic
26C2×#6192C2211yescharacteristic
27C2×(C3⋊D9)⋊C4C2211yescharacteristic
28C2×(C3⋊D9)⋊C4C2211yescharacteristic
29C2×Dic3×D9C2211yescharacteristic
30#88551C2211yescharacteristic
31#88536C2211yescharacteristic
32#88534C2211yescharacteristic
33C4×C3⋊Dic9C2211yescharacteristic
34C9×#217C2211yescharacteristic
35C3×#3676C2211yescharacteristic
36C9×(C2×D3)⋊C4C2211yescharacteristic
37C3×(C2×D9)⋊C4C2211yescharacteristic
38C3×(C2×D9)⋊C4C2211yescharacteristic
39C9×Dic3⋊C4C2211yescharacteristic
40C4×C9×Dic3C2211yescharacteristic
41C3×Dic9⋊C4C2211yescharacteristic
42C3×Dic9⋊C4C2211yescharacteristic
43(C2×D3)⋊Dic9C2211yescharacteristic
44(C2×D3)⋊Dic9C2211yescharacteristic
45(C2×D9)⋊Dic3C2211yescharacteristic
46Dic3⋊Dic9C2211yescharacteristic
47Dic3⋊Dic9C2211yescharacteristic
48Dic3⋊Dic9C2211yescharacteristic
49#88442C2211yescharacteristic
50Dic9⋊Dic3C2211yescharacteristic
51Dic9⋊Dic3C2211yescharacteristic
52Dic3×Dic9C2211yescharacteristic
53C4×#638—31no—
54C3×#929—31no—
55C3×C4×#67D311yescharacteristic
56#63970—31no—
57#63958—31no—
58#63958—31no—
59#63956—31no—
60#63912—31no—
61#63905—31no—
62#63904—31no—
63#63883—31no—
64#63880—31no—
65#63878—31no—
66#63867—31no—
67#63862—31no—
68C4×D4×C9—31no—
69#63500—31no—
70#63500—31no—
71#63491—31no—
72#63491D311yescharacteristic, complemented
73C4×#611—31no—
74C4×#611—31no—
75C4×#611—61no—
76#63454—31no—
77C4⋊C4×D9—31no—
78#63446—31no—
79#63446—31no—
80#63441—31no—
81#63441—31no—
82C4×D36—31no—
83#63432—31no—
84C23×C3×C9C2311yescharacteristic
85C22×C3⋊D9C2311yescharacteristic
86C22×D3×C9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C2×C3×C4×C9—41no—
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91#6233—22no—
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C4×C3⋊D9—41no—
96C9×#67—22no—
97C3×#611—41no—
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C2×C3×Dic9C2311yescharacteristic
104C4×D3×C9—41no—
105#6195—22no—
106#6194—41no—
107#6192—22no—
108(C3⋊D9)⋊C4—22no—
109(C3⋊D9)⋊C4—41no—
110Dic3×D9—22no—
111#5661—91no—
112#5558—91no—
113C22×C32×C4C2×D311yescharacteristic
114C2×#638—31no—
115C2×C4×C3⋊D3—31no—
116C2×C3×#67—31no—
117C2×C3×#67C2×D311yescharacteristic
118C2×C3×C4×D3C2×D311yescharacteristic
119C2×#626—31no—
120C2×#626—31no—
121C2×#625—31no—
122C2×#624—31no—
123C2×#624—31no—
124C2×D3×Dic3—31no—
125#3757—31no—
126#3752—31no—
127#3750—31no—
128C4×C3⋊Dic3—31no—
129C3×#217—31no—
130C3×#217C2×D311yescharacteristic
131C3×(C2×D3)⋊C4—31no—
132C3×(C2×D3)⋊C4—31no—
133C3×(C2×D3)⋊C4C2×D311yescharacteristic
134C3×Dic3⋊C4—31no—
135C3×Dic3⋊C4—31no—
136C3×Dic3⋊C4C2×D311yescharacteristic
137C3×C4×Dic3C2×D311yescharacteristic
138#3724—31no—
139Dic3⋊Dic3—31no—
140Dic3⋊Dic3—31no—
141Dic3⋊Dic3—31no—
142Dic3⋊Dic3—31no—
143Dic3⋊Dic3—31no—
144(C2×D3)⋊Dic3—31no—
145(C2×D3)⋊Dic3—31no—
146(C2×D3)⋊Dic3—31no—
147Dic32—31no—
148C2×D4×C9—31no—
149C22×C4×C9—21no—
150C22×C4×C9—31no—
151C22×C4×C9C2×D311yescharacteristic
152C2×#611—31no—
153C2×#611—31no—
154C2×#611—31no—
155C2×#611—61no—
156C2×#611C2×D311yescharacteristic
157C2×D36—31no—
158C2×C4×D9—31no—
159C2×C4×D9—31no—
160C2×C4×D9—31no—
161C2×C4×D9—31no—
162C2×C4×D9—61no—
163C9×C4⋊C4—31no—
164C9×C22⋊C4—31no—
165C9×C22⋊C4—31no—
166C42×C9—31no—
167#3676—31no—
168#3676—31no—
169#3676—31no—
170#3676—61no—
171#3676C2×D311yescharacteristic
172(C2×D9)⋊C4—31no—
173(C2×D9)⋊C4—31no—
174(C2×D9)⋊C4—61no—
175(C2×D9)⋊C4C2×D311yescharacteristic
176(C2×D9)⋊C4C2×D311yescharacteristic
177C4⋊Dic9—31no—
178C4⋊Dic9—31no—
179C4⋊Dic9—31no—
180Dic9⋊C4—31no—
181Dic9⋊C4—31no—
182Dic9⋊C4—31no—
183Dic9⋊C4—31no—
184Dic9⋊C4—61no—
185Dic9⋊C4C2×D311yescharacteristic
186Dic9⋊C4C2×D311yescharacteristic
187C4×Dic9—31no—
188C4×Dic9—31no—
189C4×Dic9—61no—
190C22×C3×C9—21no—
191C22×C3×C9—21no—
192C22×C3×C9—21no—
193C22×C3×C9C2411yescharacteristic
194C2×C3⋊D9—21no—
195C2×C3⋊D9—21no—
196C2×C3⋊D9#4112yes—
197C2×D3×C9—21no—
198C2×D3×C9—21no—
199C2×D3×C9—21no—
200C2×C3×D9—21no—
201C2×C3×D9—21no—
202C2×C3×D9—21no—
203C3×C4×C9—21no—
204C3×C4×C9—21no—
205C3⋊Dic9—21no—
206C3⋊Dic9—21no—
207C3⋊Dic9—21no—
208C9×Dic3—21no—
209C9×Dic3—21no—
210C9×Dic3#4112yes—
211C3×Dic9—21no—
212C3×Dic9—21no—
213C3×Dic9—21no—
214C3×#123—91no—
215C3×C4×D4—31no—
216#939—91no—
217#938—91no—
218#938—91no—
219#938—91no—
220#929—31no—
221#929—91no—
222C4×#67—91no—
223C4×#67—91no—
224C4×#67—91no—
225C4×#67—181no—
226C4×#67D911yescharacteristic, complemented
227#898—91no—
228#893—91no—
229#892—91no—
230D3×C4⋊C4—91no—
231D3×C4⋊C4—91no—
232#889—91no—
233#884—91no—
234#884—91no—
235#884—91no—
236#884—91no—
237#883—91no—
238#67⋊C4—91no—
239#879—91no—
240#879—91no—
241#879—91no—
242#877—91no—
243C4×D12—91no—
244#870—91no—
245C23×C32C22×D311yescharacteristic
246C22×C3⋊D3—31no—
247C22×C3×D3—31no—
248C22×C3×D3C22×D311yescharacteristic
249C2×C32×C4—41no—
250C2×C32×C4C22×D311yescharacteristic
251C2×C32×C4C22×D311yescharacteristic
252#638—62no—
253C2×C3⋊Dic3—31no—
254C2×C3⋊Dic3—31no—
255C2×C3⋊Dic3—31no—
256C4×C3⋊D3—121no—
257C3×#67—22no—
258C3×#67—121no—
259C2×C3×Dic3—31no—
260C2×C3×Dic3—31no—
261C2×C3×Dic3—31no—
262C2×C3×Dic3C22×D311yescharacteristic
263C2×C3×Dic3C22×D311yescharacteristic
264C2×C3×Dic3C22×D311yescharacteristic
265C3×C4×D3—41no—
266#626—62no—
267#626—62no—
268#625—121no—
269#624—62no—
270#624—121no—
271D3×Dic3—62no—
272C23×C9—21no—
273C23×C9—31no—
274C23×C9C22×D311yescharacteristic
275C22×D9—31no—
276C22×D9—61no—
277C22×D9C22×D311yescharacteristic
278D4×C9—62no—
279C2×C4×C9—21no—
280C2×C4×C9—21no—
281C2×C4×C9—31no—
282C2×C4×C9—31no—
283C2×C4×C9—31no—
284C2×C4×C9—41no—
285C2×C4×C9—42no—
286C2×C4×C9—121no—
287C2×C4×C9C22×D311yescharacteristic
288C2×C4×C9C22×D311yescharacteristic
289#611—41no—
290#611—62no—
291#611—62no—
292#611—64no—
293#611—121no—
294C2×Dic9—31no—
295C2×Dic9—31no—
296C2×Dic9—31no—
297C2×Dic9—61no—
298C2×Dic9—61no—
299C2×Dic9—61no—
300C2×Dic9C22×D311yescharacteristic
301C2×Dic9C22×D311yescharacteristic
302C2×Dic9C22×D311yescharacteristic
303D36—62no—
304C4×D9—62no—
305C4×D9—62no—
306C4×D9—121no—
307C4×D9—121no—
308C4×D9—122no—
309#553—271noSylow
310C2×C3×C9—41no—
311C2×C3×C9C2×#4111yescharacteristic
312C2×C3×C9C2×#4111yescharacteristic
313C2×C3×C9H(5,𝔽2)11yescharacteristic
314C3⋊D9—22no—
315D3×C9—41no—
316C3×D9—41no—
317C2×C3×D4—31no—
318C2×C3×D4—91no—
319C22×C3×C4—21no—
320C22×C3×C4—31no—
321C22×C3×C4C2×D911yescharacteristic
322C22×C3×C4D3211yescharacteristic
323C2×#67—31no—
324C2×#67—91no—
325C2×#67—91no—
326C2×#67—91no—
327C2×#67—91no—
328C2×#67—91no—
329C2×#67—91no—
330C2×#67—181no—
331C2×#67C2×D911yescharacteristic
332C22×Dic3—91no—
333C2×D12—91no—
334C2×D12—91no—
335C2×C4×D3—91no—
336C2×C4×D3—91no—
337C2×C4×D3—91no—
338C2×C4×D3—91no—
339C2×C4×D3—91no—
340C2×C4×D3—91no—
341C2×C4×D3—91no—
342C2×C4×D3—181no—
343C2×C4×D3C2×D911yescharacteristic
344C3×C4⋊C4—31no—
345C3×C4⋊C4—91no—
346C3×C4⋊C4—91no—
347C3×C22⋊C4—31no—
348C3×C22⋊C4—31no—
349C3×C22⋊C4—91no—
350C3×C22⋊C4—91no—
351C3×C22⋊C4—91no—
352C3×C42—31no—
353#217—31no—
354#217—91no—
355#217—91no—
356#217—91no—
357#217—91no—
358#217—91no—
359#217—181no—
360#217C2×D911yescharacteristic
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—31no—
363(C2×D3)⋊C4—91no—
364(C2×D3)⋊C4—91no—
365(C2×D3)⋊C4—91no—
366(C2×D3)⋊C4—91no—
367(C2×D3)⋊C4—91no—
368(C2×D3)⋊C4—181no—
369(C2×D3)⋊C4C2×D911yescharacteristic
370C4⋊Dic3—91no—
371C4⋊Dic3—91no—
372C4⋊Dic3—91no—
373C4⋊Dic3—91no—
374C4⋊Dic3—91no—
375Dic3⋊C4—31no—
376Dic3⋊C4—31no—
377Dic3⋊C4—91no—
378Dic3⋊C4—91no—
379Dic3⋊C4—91no—
380Dic3⋊C4—91no—
381Dic3⋊C4—91no—
382Dic3⋊C4—91no—
383Dic3⋊C4—91no—
384Dic3⋊C4—91no—
385Dic3⋊C4—91no—
386Dic3⋊C4—181no—
387Dic3⋊C4C2×D911yescharacteristic
388C4×Dic3—91no—
389C4×Dic3—91no—
390C4×Dic3—91no—
391C4×Dic3—91no—
392C4×Dic3—181no—
393C4×Dic3C2×D911yescharacteristic
394C22×C32—21no—
395C22×C32—21no—
396C22×C32—21no—
397C22×C32C23×D311yescharacteristic
398C2×C3⋊D3—32no—
399C2×C3⋊D3—61no—
400C2×C3⋊D3—61no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—61no—
405C2×C3×D3—61no—
406C2×C3×D3—61no—
407C32×C4—21no—
408C32×C4—21no—
409C3⋊Dic3—61no—
410C3⋊Dic3—61no—
411C3⋊Dic3—61no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—61no—
415C3×Dic3—61no—
416C3×Dic3—61no—
417C3×Dic3#23512yes—
418C22×C9—22no—
419C22×C9—21no—
420C22×C9—21no—
421C22×C9—21no—
422C22×C9—21no—
423C22×C9—41no—
424C22×C9—41no—
425C22×C9—61no—
426C22×C9—61no—
427C22×C9—61no—
428C22×C9C23×D311yescharacteristic
429C2×D9—21no—
430C2×D9—21no—
431C2×D9—21no—
432C2×D9—32no—
433C2×D9—62no—
434C2×D9—61no—
435C2×D9—61no—
436C2×D9—121no—
437C2×D9—121no—
438C4×C9—22no—
439C4×C9—21no—
440C4×C9—21no—
441C4×C9—32no—
442C4×C9—41no—
443C4×C9—61no—
444C4×C9—61no—
445Dic9—21no—
446Dic9—21no—
447Dic9—21no—
448Dic9—62no—
449Dic9—61no—
450Dic9—61no—
451Dic9—61no—
452Dic9—121no—
453Dic9—121no—
454#126—271no—
455#126—271no—
456#125—271no—
457#123—91no—
458#123—271no—
459#121—271no—
460#121—271no—
461#121—271no—
462#121—271no—
463C4×D4—31no—
464C4×D4—271no—
465C4×D4—271no—
466C4×D4—271no—
467#117—271no—
468C2×C4⋊C4—271no—
469C3×C9#55311yescharacteristic, complemented, Sylow
470C23×C3—21no—
471C23×C3—31no—
472C23×C3—91no—
473C23×C3C22×D911yescharacteristic
474C23×C3C2×D3211yescharacteristic
475C22×D3—31no—
476C22×D3—91no—
477C22×D3—91no—
478C22×D3—181no—
479C22×D3C22×D911yescharacteristic
480C3×D4—62no—
481C3×D4—361no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—41no—
488C2×C3×C4—41no—
489C2×C3×C4—42no—
490C2×C3×C4—91no—
491C2×C3×C4—91no—
492C2×C3×C4—91no—
493C2×C3×C4—121no—
494C2×C3×C4C22×D911yescharacteristic
495C2×C3×C4C22×D911yescharacteristic
496C2×C3×C4C2×D3211yescharacteristic
497C2×C3×C4C2×D3211yescharacteristic
498#67—22no—
499#67—121no—
500#67—182no—
501#67—182no—
502#67—182no—
503#67—182no—
504#67—184no—
505#67—361no—
506#67—361no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—91no—
511C2×Dic3—91no—
512C2×Dic3—91no—
513C2×Dic3—91no—
514C2×Dic3—91no—
515C2×Dic3—91no—
516C2×Dic3—181no—
517C2×Dic3—181no—
518C2×Dic3—181no—
519C2×Dic3—182no—
520C2×Dic3C22×D911yescharacteristic
521C2×Dic3C22×D911yescharacteristic
522C2×Dic3C22×D911yescharacteristic
523D12—182no—
524D12—182no—
525C4×D3—41no—
526C4×D3—182no—
527C4×D3—182no—
528C4×D3—182no—
529C4×D3—361no—
530C4×D3—361no—
531C4×D3—361no—
532C4×D3—361no—
533C4×D3—362no—
534C2×C32—41no—
535C2×C32C2×#23511yescharacteristic
536C2×C32#100411yescharacteristic
537C2×C32D3×#4111yescharacteristic
538C3⋊D3—62no—
539C3×D3—41no—
540C3×D3—121no—
541C2×C9—21no—
542C2×C9—21no—
543C2×C9—21no—
544C2×C9—42no—
545C2×C9—41no—
546C2×C9—121no—
547C2×C9#100411yescharacteristic
548C2×C9D3×#4111yescharacteristic
549C2×C9D3×#4111yescharacteristic
550D9—41no—
551D9—62no—
552D9—122no—
553C2×D4—31no—
554C2×D4—91no—
555C2×D4—271no—
556C2×D4—271no—
557C2×D4—271no—
558C2×D4—271no—
559C22×C4—31no—
560C22×C4—271no—
561C22×C4—271no—
562C22×C4—271no—
563C22×C4—271no—
564C22×C4D3×D911yescharacteristic
565C4⋊C4—31no—
566C4⋊C4—91no—
567C4⋊C4—91no—
568C4⋊C4—271no—
569C4⋊C4—271no—
570C4⋊C4—271no—
571C4⋊C4—271no—
572C4⋊C4—271no—
573C4⋊C4—271no—
574C4⋊C4—271no—
575C22⋊C4—31no—
576C22⋊C4—31no—
577C22⋊C4—91no—
578C22⋊C4—91no—
579C22⋊C4—91no—
580C22⋊C4—271no—
581C22⋊C4—271no—
582C22⋊C4—271no—
583C22⋊C4—271no—
584C22⋊C4—271no—
585C42—31no—
586C42—271no—
587C42—271no—
588C22×C3—22no—
589C22×C3—21no—
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—41no—
597C22×C3—41no—
598C22×C3—61no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—181no—
602C22×C3—181no—
603C22×C3—181no—
604C22×C3C23×D911yescharacteristic
605C22×C3C22×D3211yescharacteristic
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—21no—
609C2×D3—61no—
610C2×D3—61no—
611C2×D3—61no—
612C2×D3—92no—
613C2×D3—92no—
614C2×D3—182no—
615C2×D3—181no—
616C2×D3—181no—
617C2×D3—181no—
618C2×D3—181no—
619C2×D3—361no—
620C2×D3—361no—
621C3×C4—22no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—32no—
627C3×C4—41no—
628C3×C4—61no—
629C3×C4—61no—
630C3×C4—181no—
631C3×C4—181no—
632C3×C4—181no—
633Dic3—21no—
634Dic3—21no—
635Dic3—61no—
636Dic3—61no—
637Dic3—61no—
638Dic3—182no—
639Dic3—181no—
640Dic3—181no—
641Dic3—181no—
642Dic3—181no—
643Dic3—181no—
644Dic3—181no—
645Dic3—361no—
646Dic3—361no—
647Dic3#369712yes—
648C32#555811yescharacteristic
649C9—21no—
650C9#566111yescharacteristic, complemented
651C23—31no—
652C23—91no—
653C23—271no—
654C23C2×D3×D911yescharacteristic
655D4—62no—
656D4—361no—
657D4—542no—
658D4—542no—
659D4—542no—
660D4—1081no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—41no—
665C2×C4—91no—
666C2×C4—91no—
667C2×C4—91no—
668C2×C4—121no—
669C2×C4—271no—
670C2×C4—271no—
671C2×C4—271no—
672C2×C4—542no—
673C2×C4—542no—
674C2×C4—1081no—
675C2×C4—1081no—
676C2×C4C2×D3×D911yescharacteristic
677C2×C4C2×D3×D911yescharacteristic
678C2×C3—21no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3—42no—
682C2×C3—41no—
683C2×C3—41no—
684C2×C3—121no—
685C2×C3—361no—
686C2×C3C2×#369711yescharacteristic
687C2×C3#6371011yescharacteristic
688C2×C3#41×D911yescharacteristic
689C2×C3D3×#23511yescharacteristic
690C2×C3#6430611yescharacteristic
691C2×C3#6433011yescharacteristic
692D3—41no—
693D3—121no—
694D3—182no—
695D3—182no—
696D3—362no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—61no—
701C22—61no—
702C22—61no—
703C22—181no—
704C22—181no—
705C22—181no—
706C22—272no—
707C22—541no—
708C22—541no—
709C22C22×D3×D911yescharacteristic
710C4—21no—
711C4—21no—
712C4—32no—
713C4—61no—
714C4—61no—
715C4—181no—
716C4—181no—
717C4—181no—
718C4—541no—
719C4—541no—
720C4—541no—
721C3—21no—
722C3#1058966011yescharacteristic, complemented
723C3#1059502511yescharacteristic
724C2—41no—
725C2—121no—
726C2—361no—
727C2—542no—
728C2D3×#369711yescharacteristic
729C2#1172247511yescharacteristic
730C2#1172253511yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9#553
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C4×#6233C2semidirect
2. C4×C9×#67C2semidirect
3. C3×#63491C2semidirect
4. #11721270C2semidirect
5. #11721262C2semidirect
6. #11721256C2semidirect
7. #11721246C2semidirect
8. #11721041C2semidirect
9. #11721032C2semidirect
10. #11721030C2semidirect
11. #11720980C2semidirect
12. #11720977C2semidirect
13. #11720975C2semidirect
14. #11720966C2semidirect
15. #11720925C2semidirect
72. #63491D3semidirect
226. C4×#67D9semidirect
469. C3×C9#553semidirect
650. C9#5661semidirect
722. C3#10589660semidirect

Maximal subgroups

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

subgroupindex
C4×#62332
C4×C9×#672
C3×#634912
#117212702
#117212622
#117212562
#117212462
#117210412
#117210322
#117210302
#117209802
#117209772
#117209752
#117209662
#117209252
#105950253
#105896603