Finite Group Databasebeta

← #13148813

Subgroups — #13148813

Order 1728.

878 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88641C211yesmaximal, characteristic
2C2×D9×Dic6C211yesmaximal, characteristic, complemented
3#11721744C211yesmaximal, characteristic, complemented
4C9×#896C211yesmaximal, characteristic, complemented
5C3×#63456C211yesmaximal, characteristic, complemented
6#11721044C211yesmaximal, characteristic, complemented
7#11721042C211yesmaximal, characteristic, complemented
8#11721031C211yesmaximal, characteristic, complemented
9#11720991C211yesmaximal, characteristic, complemented
10#11720989C211yesmaximal, characteristic, complemented
11#11720984C211yesmaximal, characteristic, complemented
12#11720981C211yesmaximal, characteristic, complemented
13#11720975C211yesmaximal, characteristic, complemented
14#11720955C211yesmaximal, characteristic, complemented
15#11720905C211yesmaximal, characteristic, complemented
16#10594365—31nomaximal
17#10589730—31nomaximal
18C2×#6226C2211yescharacteristic
19C2×#6226C2211yescharacteristic
20C2×C4×D3×C9C2211yescharacteristic
21C2×C3×D36C2211yescharacteristic
22C2×C3×C4×D9C2211yescharacteristic
23C2×C9×Dic6C2211yescharacteristic
24C2×#6194C2211yescharacteristic
25C2×#6194C2211yescharacteristic
26C2×Dic3×D9C2211yescharacteristic
27C2×Dic3×D9C2211yescharacteristic
28C2×Dic3×D9C2211yescharacteristic
29C2×#6189C2211yescharacteristic
30C2×#6189C2211yescharacteristic
31#88641—24no—
32D9×Dic6—24no—
33C3×C9×C4⋊C4C2211yescharacteristic
34C4⋊(C3⋊Dic9)C2211yescharacteristic
35#88534C2211yescharacteristic
36#88534C2211yescharacteristic
37C4×C3⋊Dic9C2211yescharacteristic
38C9×(C2×D3)⋊C4C2211yescharacteristic
39C9×(C2×D3)⋊C4C2211yescharacteristic
40C3×(C2×D9)⋊C4C2211yescharacteristic
41C3×(C2×D9)⋊C4C2211yescharacteristic
42C3×(C2×D9)⋊C4C2211yescharacteristic
43C9×Dic3⋊C4C2211yescharacteristic
44C9×Dic3⋊C4C2211yescharacteristic
45C3×Dic9⋊C4C2211yescharacteristic
46(C2×D3)⋊Dic9C2211yescharacteristic
47(C2×D3)⋊Dic9C2211yescharacteristic
48(C2×D9)⋊Dic3C2211yescharacteristic
49(C2×D9)⋊Dic3C2211yescharacteristic
50(C2×D9)⋊Dic3C2211yescharacteristic
51Dic3⋊Dic9C2211yescharacteristic
52Dic3⋊Dic9C2211yescharacteristic
53Dic9⋊Dic3C2211yescharacteristic
54Dic3×Dic9C2211yescharacteristic
55C2×#3795—31no—
56C2×D3×Dic6—31no—
57#64097—31no—
58C3×#896D311yescharacteristic
59C3×#894—31no—
60#63915—31no—
61#63913—31no—
62#63905—31no—
63#63893—31no—
64#63891—31no—
65#63887—31no—
66#63884—31no—
67#63878—31no—
68#63851—31no—
69#63840—31no—
70C2×Q8×D9—31no—
71C2×#3697—31no—
72C9×C22⋊Q8—31no—
73#63508—31no—
74#63486—31no—
75#63459—31no—
76#63456—31no—
77#63456D311yescharacteristic, complemented
78#63454—31no—
79#63450—31no—
80#63450—31no—
81#63450—61no—
82#63447—31no—
83#63447—31no—
84#63445—31no—
85#63445—31no—
86C22×D3×C9C2311yescharacteristic
87C22×C3×D9C2311yescharacteristic
88C22×C3×D9C2311yescharacteristic
89C2×C3×C4×C9C2311yescharacteristic
90C2×C3×C4×C9C2311yescharacteristic
91C2×C3×C4×C9C2311yescharacteristic
92C2×C3⋊Dic9C2311yescharacteristic
93C2×C3⋊Dic9C2311yescharacteristic
94C2×C3⋊Dic9C2311yescharacteristic
95C2×C3⋊Dic9C2311yescharacteristic
96#6226—22no—
97#6226—22no—
98C2×C9×Dic3C2311yescharacteristic
99C2×C9×Dic3C2311yescharacteristic
100C2×C9×Dic3C2311yescharacteristic
101C2×C3×Dic9C2311yescharacteristic
102C2×C3×Dic9C2311yescharacteristic
103C4×D3×C9—22no—
104C3×D36—22no—
105C3×C4×D9—22no—
106C9×Dic6—22no—
107#6194—22no—
108#6194—22no—
109Dic3×D9—22no—
110Dic3×D9—22no—
111Dic3×D9D414yes—
112#6189—22no—
113#6189—22no—
114#5648—91no—
115#5628—91no—
116C2×#634—31no—
117C2×#634—31no—
118C2×C3×D12—31no—
119C2×C3×C4×D3—31no—
120C2×C3×C4×D3C2×D311yescharacteristic
121C2×C3×Dic6C2×D311yescharacteristic
122C2×#627—31no—
123C2×#627—31no—
124C2×#625—31no—
125C2×#625—31no—
126C2×D3×Dic3—31no—
127C2×D3×Dic3—31no—
128C2×D3×Dic3—31no—
129#3795—64no—
130D3×Dic6—64no—
131C32×C4⋊C4C2×D311yescharacteristic
132C4⋊(C3⋊Dic3)—31no—
133#3750—31no—
134#3750—31no—
135C4×C3⋊Dic3—31no—
136C3×(C2×D3)⋊C4—31no—
137C3×(C2×D3)⋊C4—31no—
138C3×(C2×D3)⋊C4—31no—
139C3×(C2×D3)⋊C4C2×D311yescharacteristic
140C3×(C2×D3)⋊C4C2×D311yescharacteristic
141C3×Dic3⋊C4—31no—
142C3×Dic3⋊C4C2×D311yescharacteristic
143C3×Dic3⋊C4C2×D311yescharacteristic
144Dic3⋊Dic3—31no—
145Dic3⋊Dic3—31no—
146Dic3⋊Dic3—31no—
147(C2×D3)⋊Dic3—31no—
148(C2×D3)⋊Dic3—31no—
149(C2×D3)⋊Dic3—31no—
150(C2×D3)⋊Dic3—31no—
151(C2×D3)⋊Dic3—31no—
152Dic32—31no—
153C2×Q8×C9—31no—
154C22×C4×C9—31no—
155C2×#611—31no—
156C2×#611—31no—
157Q8×D9—64no—
158#3697—64no—
159C2×D36C2×D311yescharacteristic
160C2×C4×D9—31no—
161C2×C4×D9—31no—
162C2×C4×D9—31no—
163C2×C4×D9C2×D311yescharacteristic
164C2×Dic18—31no—
165C2×Dic18—31no—
166C2×Dic18—31no—
167C2×Dic18—31no—
168C2×Dic18—61no—
169C2×Dic18—61no—
170C9×C4⋊C4—21no—
171C9×C4⋊C4—31no—
172C9×C4⋊C4—31no—
173C9×C4⋊C4C2×D311yescharacteristic
174C9×C22⋊C4—31no—
175C9×C22⋊C4—31no—
176#3676—31no—
177#3676—31no—
178(C2×D9)⋊C4—31no—
179(C2×D9)⋊C4—31no—
180(C2×D9)⋊C4—31no—
181(C2×D9)⋊C4C2×D311yescharacteristic
182(C2×D9)⋊C4C2×D311yescharacteristic
183(C2×D9)⋊C4C2×D311yescharacteristic
184C4⋊Dic9—31no—
185C4⋊Dic9—31no—
186C4⋊Dic9—31no—
187C4⋊Dic9—61no—
188Dic9⋊C4—31no—
189Dic9⋊C4—31no—
190Dic9⋊C4—31no—
191Dic9⋊C4—61no—
192Dic9⋊C4—61no—
193Dic9⋊C4C2×D311yescharacteristic
194C4×Dic9—31no—
195C4×Dic9—31no—
196C4×Dic9—61no—
197C22×C3×C9C2411yescharacteristic
198C2×D3×C9—21no—
199C2×D3×C9—21no—
200C2×D3×C9—21no—
201C2×C3×D9—21no—
202C2×C3×D9—21no—
203C2×C3×D9—21no—
204C2×C3×D9—21no—
205C2×C3×D9—21no—
206C2×C3×D9C2×D412yes—
207C3×C4×C9—21no—
208C3×C4×C9—21no—
209C3×C4×C9—21no—
210C3⋊Dic9—21no—
211C3⋊Dic9—21no—
212C3⋊Dic9—21no—
213C3⋊Dic9C2×D412yes—
214C9×Dic3—21no—
215C9×Dic3—21no—
216C9×Dic3C2×D412yes—
217C3×Dic9—21no—
218C3×Dic9—21no—
219C2×D3×Q8—91no—
220C2×#237—91no—
221C2×#235—91no—
222C22×Dic6—91no—
223C3×#123—91no—
224C3×C22⋊Q8—31no—
225#946—91no—
226#935—91no—
227#929—91no—
228#924—91no—
229#897—91no—
230#896—91no—
231#896D911yescharacteristic, complemented
232#894—31no—
233#894—91no—
234#892—91no—
235#888—91no—
236#888—91no—
237#888—91no—
238#888—91no—
239#888—181no—
240#886—91no—
241#885—91no—
242#885—91no—
243#885—91no—
244#885—91no—
245#883—91no—
246#883—91no—
247#878—91no—
248#878—91no—
249#877—91no—
250C22×C3×D3—31no—
251C22×C3×D3—31no—
252C22×C3×D3C22×D311yescharacteristic
253C2×C32×C4C22×D311yescharacteristic
254C2×C32×C4C22×D311yescharacteristic
255C2×C32×C4C22×D311yescharacteristic
256C2×C3⋊Dic3—31no—
257C2×C3⋊Dic3—31no—
258C2×C3⋊Dic3—31no—
259C2×C3⋊Dic3—31no—
260#634—62no—
261#634—62no—
262C2×C3×Dic3—31no—
263C2×C3×Dic3—31no—
264C2×C3×Dic3C22×D311yescharacteristic
265C2×C3×Dic3C22×D311yescharacteristic
266C2×C3×Dic3C22×D311yescharacteristic
267C3×D12—62no—
268C3×C4×D3—22no—
269C3×C4×D3—62no—
270C3×Dic6—22no—
271#627—62no—
272#627—62no—
273#625—62no—
274#625—62no—
275D3×Dic3—34no—
276D3×Dic3—62no—
277D3×Dic3—62no—
278C23×C9—31no—
279C22×D9C22×D311yescharacteristic
280C22×D9C22×D311yescharacteristic
281Q8×C9—62no—
282C2×C4×C9—21no—
283C2×C4×C9—21no—
284C2×C4×C9—21no—
285C2×C4×C9—31no—
286C2×C4×C9—31no—
287C2×C4×C9—31no—
288C2×C4×C9—62no—
289C2×C4×C9C22×D311yescharacteristic
290C2×C4×C9C22×D311yescharacteristic
291C2×C4×C9C22×D311yescharacteristic
292#611—62no—
293#611—62no—
294C2×Dic9—31no—
295C2×Dic9—31no—
296C2×Dic9—31no—
297C2×Dic9—31no—
298C2×Dic9—61no—
299C2×Dic9—61no—
300C2×Dic9—61no—
301C2×Dic9—61no—
302C2×Dic9C22×D311yescharacteristic
303C2×Dic9C22×D311yescharacteristic
304D36—22no—
305C4×D9—22no—
306C4×D9—34no—
307C4×D9—62no—
308C4×D9—62no—
309Dic18—62no—
310Dic18—62no—
311Dic18—62no—
312Dic18—62no—
313Dic18—122no—
314Dic18—122no—
315#536—271noSylow
316C2×C3×C9C22×D411yescharacteristic
317C2×C3×C92−1+411yescharacteristic
318C2×C3×C92−1+411yescharacteristic
319D3×C9—41no—
320C3×D9—22no—
321C3×D9—41no—
322C2×C3×Q8—31no—
323C2×C3×D4—91no—
324C22×C3×C4—31no—
325C22×C3×C4—91no—
326C2×#67—91no—
327C2×#67—91no—
328C2×#67—91no—
329C2×#67—91no—
330C22×Dic3—91no—
331C22×Dic3—91no—
332C22×Dic3—91no—
333D3×Q8—184no—
334#237—184no—
335#235—184no—
336C2×D12—31no—
337C2×C4×D3—31no—
338C2×C4×D3—91no—
339C2×C4×D3—91no—
340C2×C4×D3—91no—
341C2×C4×D3C2×D911yescharacteristic
342C2×Dic6—91no—
343C2×Dic6—91no—
344C2×Dic6—91no—
345C2×Dic6—91no—
346C2×Dic6—91no—
347C2×Dic6—91no—
348C2×Dic6—91no—
349C2×Dic6—91no—
350C2×Dic6—181no—
351C2×Dic6—181no—
352C2×Dic6—184no—
353C2×Dic6C2×D911yescharacteristic
354C3×C4⋊C4—21no—
355C3×C4⋊C4—31no—
356C3×C4⋊C4—31no—
357C3×C4⋊C4—91no—
358C3×C4⋊C4C2×D911yescharacteristic
359C3×C4⋊C4D3211yescharacteristic
360C3×C22⋊C4—31no—
361C3×C22⋊C4—31no—
362C3×C22⋊C4—91no—
363C3×C22⋊C4—91no—
364C3×C22⋊C4—91no—
365#217—91no—
366#217—91no—
367#217—91no—
368#217—91no—
369#217—91no—
370(C2×D3)⋊C4—31no—
371(C2×D3)⋊C4—31no—
372(C2×D3)⋊C4—31no—
373(C2×D3)⋊C4—91no—
374(C2×D3)⋊C4—91no—
375(C2×D3)⋊C4—91no—
376(C2×D3)⋊C4—91no—
377(C2×D3)⋊C4—91no—
378(C2×D3)⋊C4C2×D911yescharacteristic
379(C2×D3)⋊C4C2×D911yescharacteristic
380C4⋊Dic3—91no—
381C4⋊Dic3—91no—
382C4⋊Dic3—91no—
383C4⋊Dic3—91no—
384C4⋊Dic3—91no—
385C4⋊Dic3—181no—
386Dic3⋊C4—31no—
387Dic3⋊C4—91no—
388Dic3⋊C4—91no—
389Dic3⋊C4—91no—
390Dic3⋊C4—91no—
391Dic3⋊C4—91no—
392Dic3⋊C4—91no—
393Dic3⋊C4—91no—
394Dic3⋊C4—181no—
395Dic3⋊C4—181no—
396Dic3⋊C4C2×D911yescharacteristic
397Dic3⋊C4C2×D911yescharacteristic
398C4×Dic3—91no—
399C4×Dic3—91no—
400C4×Dic3—91no—
401C4×Dic3—91no—
402C4×Dic3—181no—
403C22×C32C23×D311yescharacteristic
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—32no—
408C2×C3×D3—61no—
409C2×C3×D3—61no—
410C2×C3×D3—61no—
411C2×C3×D3—61no—
412C2×C3×D3—61no—
413C32×C4—21no—
414C32×C4—21no—
415C32×C4—21no—
416C3⋊Dic3—32no—
417C3⋊Dic3—61no—
418C3⋊Dic3—61no—
419C3⋊Dic3—61no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—61no—
423C3×Dic3—61no—
424C3×Dic3D3×D412yes—
425C22×C9—21no—
426C22×C9—61no—
427C22×C9—61no—
428C22×C9—61no—
429C22×C9C23×D311yescharacteristic
430C2×D9—21no—
431C2×D9—21no—
432C2×D9—21no—
433C2×D9—21no—
434C2×D9—21no—
435C2×D9D3×D412yes—
436C4×C9—22no—
437C4×C9—21no—
438C4×C9—21no—
439C4×C9—21no—
440C4×C9—32no—
441C4×C9—41no—
442C4×C9—41no—
443C4×C9—61no—
444C4×C9—61no—
445Dic9—21no—
446Dic9—21no—
447Dic9—32no—
448Dic9—62no—
449Dic9—62no—
450Dic9—61no—
451Dic9—61no—
452Dic9—61no—
453Dic9—121no—
454Dic9—121no—
455C2×#41—271no—
456C22×Q8—271no—
457C4⋊Q8—271no—
458C4⋊Q8—271no—
459#124—271no—
460#124—271no—
461#123—91no—
462#123—271no—
463#123—271no—
464#123—271no—
465C22⋊Q8—31no—
466C22⋊Q8—271no—
467C22⋊Q8—271no—
468C22⋊Q8—271no—
469#117—271no—
470C3×C9#53611yescharacteristic, complemented, Sylow
471C23×C3—31no—
472C23×C3—91no—
473C23×C3—91no—
474C22×D3—31no—
475C22×D3—31no—
476C22×D3C22×D911yescharacteristic
477C3×Q8—62no—
478C3×D4—182no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—62no—
486C2×C3×C4—91no—
487C2×C3×C4—91no—
488C2×C3×C4—182no—
489C2×C3×C4C22×D911yescharacteristic
490C2×C3×C4C22×D911yescharacteristic
491C2×C3×C4C22×D911yescharacteristic
492C2×C3×C4C2×D3211yescharacteristic
493C2×C3×C4C2×D3211yescharacteristic
494C2×C3×C4C2×D3211yescharacteristic
495#67—182no—
496#67—182no—
497#67—182no—
498#67—182no—
499C2×Dic3—31no—
500C2×Dic3—31no—
501C2×Dic3—91no—
502C2×Dic3—91no—
503C2×Dic3—94no—
504C2×Dic3—91no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—91no—
508C2×Dic3—91no—
509C2×Dic3—91no—
510C2×Dic3—181no—
511C2×Dic3—181no—
512C2×Dic3—181no—
513C2×Dic3—181no—
514C2×Dic3—182no—
515C2×Dic3—182no—
516C2×Dic3C22×D911yescharacteristic
517C2×Dic3C22×D911yescharacteristic
518C2×Dic3C22×D911yescharacteristic
519D12—62no—
520C4×D3—22no—
521C4×D3—62no—
522C4×D3—94no—
523C4×D3—182no—
524C4×D3—182no—
525Dic6—22no—
526Dic6—182no—
527Dic6—182no—
528Dic6—182no—
529Dic6—182no—
530Dic6—182no—
531Dic6—182no—
532Dic6—182no—
533Dic6—182no—
534Dic6—362no—
535Dic6—362no—
536C2×C32C2×D3×D411yescharacteristic
537C2×C32#100711yescharacteristic
538C2×C32#101011yescharacteristic
539C3×D3—41no—
540C3×D3—62no—
541C3×D3—121no—
542C2×C9—21no—
543C2×C9—21no—
544C2×C9—21no—
545C2×C9—121no—
546C2×C9C2×D3×D411yescharacteristic
547C2×C9#101011yescharacteristic
548C2×C9#101011yescharacteristic
549D9—22no—
550D9—41no—
551#41—544no—
552C2×Q8—31no—
553C2×Q8—271no—
554C2×Q8—271no—
555C2×Q8—271no—
556C2×Q8—271no—
557C2×Q8—544no—
558C2×D4—91no—
559C2×D4—271no—
560C2×D4—271no—
561C22×C4—31no—
562C22×C4—91no—
563C22×C4—271no—
564C22×C4—271no—
565C22×C4—271no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—91no—
569C4⋊C4—271no—
570C4⋊C4—271no—
571C4⋊C4—271no—
572C4⋊C4—271no—
573C4⋊C4—271no—
574C4⋊C4—271no—
575C4⋊C4D3×D911yescharacteristic
576C22⋊C4—31no—
577C22⋊C4—31no—
578C22⋊C4—91no—
579C22⋊C4—91no—
580C22⋊C4—91no—
581C22⋊C4—271no—
582C22⋊C4—271no—
583C22⋊C4—271no—
584C22⋊C4—271no—
585C22⋊C4—271no—
586C42—271no—
587C42—271no—
588C22×C3—21no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—92no—
593C22×C3—181no—
594C22×C3—181no—
595C22×C3—181no—
596C22×C3—181no—
597C22×C3—181no—
598C22×C3C23×D911yescharacteristic
599C22×C3C22×D3211yescharacteristic
600C2×D3—21no—
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—32no—
604C2×D3—61no—
605C2×D3—61no—
606C2×D3—61no—
607C2×D3—61no—
608C2×D3—61no—
609C3×C4—22no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—32no—
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—92no—
628Dic3—92no—
629Dic3—182no—
630Dic3—182no—
631Dic3—181no—
632Dic3—181no—
633Dic3—181no—
634Dic3—181no—
635Dic3—181no—
636Dic3—181no—
637Dic3—361no—
638Dic3—361no—
639Dic3D4×D912yes—
640C32#562811yescharacteristic
641C9—21no—
642C9#564811yescharacteristic, complemented
643C23—31no—
644C23—91no—
645C23—91no—
646Q8—62no—
647Q8—542no—
648Q8—542no—
649Q8—542no—
650Q8—542no—
651D4—182no—
652D4—542no—
653D4—542no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—62no—
658C2×C4—91no—
659C2×C4—91no—
660C2×C4—182no—
661C2×C4—274no—
662C2×C4—271no—
663C2×C4—271no—
664C2×C4—271no—
665C2×C4—271no—
666C2×C4—542no—
667C2×C4—542no—
668C2×C4C2×D3×D911yescharacteristic
669C2×C4C2×D3×D911yescharacteristic
670C2×C4C2×D3×D911yescharacteristic
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—121no—
675C2×C3—182no—
676C2×C3—361no—
677C2×C3C2×D4×D911yescharacteristic
678C2×C3#6371311yescharacteristic
679C2×C3#6371611yescharacteristic
680C2×C3#6429811yescharacteristic
681C2×C3D32×D411yescharacteristic
682C2×C3#6431511yescharacteristic
683D3—41no—
684D3—62no—
685D3—121no—
686C22—61no—
687C22—61no—
688C22—61no—
689C22—92no—
690C22—181no—
691C22—181no—
692C22—181no—
693C22—181no—
694C22—181no—
695C22C22×D3×D911yescharacteristic
696C4—21no—
697C4—21no—
698C4—21no—
699C4—32no—
700C4—61no—
701C4—61no—
702C4—181no—
703C4—181no—
704C4—272no—
705C4—541no—
706C4—541no—
707C4—541no—
708C3—21no—
709C3#1058973011yescharacteristic, complemented
710C3#1059436511yescharacteristic
711C2—121no—
712C2—182no—
713C2—361no—
714C2#1172246511yescharacteristic
715C2D3×D4×D911yescharacteristic
716C2#1172251011yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C4⋊C4C22
socleC22×C32C23×D3
prime radicalC2×#88641C2
hypercenterC4⋊C4D3×D9
hypocenterC3×C9#536
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×D9×Dic6C2semidirect
3. #11721744C2semidirect
4. C9×#896C2semidirect
5. C3×#63456C2semidirect
6. #11721044C2semidirect
7. #11721042C2semidirect
8. #11721031C2semidirect
9. #11720991C2semidirect
10. #11720989C2semidirect
11. #11720984C2semidirect
12. #11720981C2semidirect
13. #11720975C2semidirect
14. #11720955C2semidirect
15. #11720905C2semidirect
77. #63456D3semidirect
231. #896D9semidirect
470. C3×C9#536semidirect
642. C9#5648semidirect
709. C3#10589730semidirect

Maximal subgroups

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

subgroupindex
C2×#886412
C2×D9×Dic62
#117217442
C9×#8962
C3×#634562
#117210442
#117210422
#117210312
#117209912
#117209892
#117209842
#117209812
#117209752
#117209552
#117209052
#105943653
#105897303