Finite Group Databasebeta

← C3×#10596021 #13179304

Subgroups — C3×#10596021 #13179304

Order 1728.

2380 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3828C211yesmaximal, characteristic, complemented
2C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C33×C4×D4C211yesmaximal, characteristic, complemented
4C3×#64146C212yesmaximal, complemented
5C3×#64139C211yesmaximal, characteristic, complemented
6C3×#64133C211yesmaximal, characteristic, complemented
7C3×#64103C212yesmaximal, complemented
8C3×#64093C212yesmaximal, complemented
9C3×C22⋊C4×C3⋊D3C212yesmaximal, complemented
10C3×#64084C211yesmaximal, characteristic, complemented
11C3×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
12#10596021C311yesmaximal, characteristic, direct product factor
13C3×#5550—34nomaximal
14C23×C3×C3⋊D3C2212yes—
15C2×C33×D4C2211yescharacteristic
16C22×C33×C4C2211yescharacteristic
17C22×C33×C4C2211yescharacteristic, complemented
18C2×C3×#638C2212yescomplemented
19C2×C3×#638C2212yescomplemented
20C3×#3828—24no—
21C2×C3×C4⋊(C3⋊D3)—24no—
22C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
23C2×C3×C4⋊(C3⋊D3)C2212yes—
24C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
25C2×C3×C4×C3⋊D3C2212yescomplemented
26C2×C3×C4×C3⋊D3C2212yescomplemented
27C2×C3×#634C2211yescharacteristic, complemented
28C33×C4⋊C4C2211yescharacteristic, complemented
29C33×C22⋊C4C2211yescharacteristic
30C33×C22⋊C4C2211yescharacteristic, complemented
31C33×C42C2211yescharacteristic, complemented
32C3×#3757C2212yes—
33C3×#3752C2212yescomplemented
34C3×#3752C2212yescomplemented
35C3×#3752C2212yescomplemented
36C3×#3752C2212yescomplemented
37C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
38C3×#3750C2212yescomplemented
39C2×#3828C2×C311yescharacteristic, complemented
40C22×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
41C2×C3×#235—34no—
42C22×C3×D12—34no—
43C32×C4×D4—24no—
44C32×C4×D4D314yescomplemented
45C32×C4×D4C2×C311yescharacteristic, complemented
46#64146C2×C312yescomplemented
47#64139C2×C311yescharacteristic, complemented
48#64133C2×C311yescharacteristic, complemented
49#64103C2×C312yescomplemented
50#64093C2×C312yescomplemented
51C22⋊C4×C3⋊D3C2×C312yescomplemented
52#64084C2×C311yescharacteristic, complemented
53C4×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
54C3×#937—38no—
55C3×#930—34no—
56C3×#924—34no—
57C3×#894—38no—
58C3×#884—38no—
59C3×D3×C22⋊C4—38no—
60C3×#875—34no—
61C3×C4×D12—34no—
62C23×C33C2311yescharacteristic
63C23×C33C2311yescharacteristic
64C22×C3×C3⋊D3—24no—
65C22×C3×C3⋊D3—24no—
66C22×C3×C3⋊D3—42no—
67C22×C3×C3⋊D3C2312yes—
68C22×C3×C3⋊D3C2312yes—
69C33×D4—22no—
70C2×C33×C4—22no—
71C2×C33×C4—22no—
72C2×C33×C4C2311yescharacteristic
73C2×C33×C4C2311yescharacteristic
74C2×C33×C4C2311yescharacteristic
75C2×C33×C4C2311yescharacteristic
76C2×C33×C4C2311yescharacteristic
77C3×#638—24no—
78C3×#638—42no—
79C2×C3×C3⋊Dic3C2312yes—
80C2×C3×C3⋊Dic3C2312yes—
81C3×C4⋊(C3⋊D3)—24no—
82C3×C4⋊(C3⋊D3)—22no—
83C3×C4⋊(C3⋊D3)D414yescomplemented
84C3×C4×C3⋊D3—24no—
85C3×C4×C3⋊D3—42no—
86C3×#634—22no—
87C3×#546—91no—
88#5550—34no—
89C23×C3⋊D3C22×C312yes—
90C23×C3×D3—38no—
91C2×C32×D4—24no—
92C2×C32×D4C2×D314yes—
93C2×C32×D4C22×C311yescharacteristic
94C22×C32×C4—24no—
95C22×C32×C4—24no—
96C22×C32×C4C2×D314yes—
97C22×C32×C4C2×D314yescomplemented
98C22×C32×C4C22×C311yescharacteristic
99C22×C32×C4C22×C311yescharacteristic, complemented
100C2×#638C22×C312yescomplemented
101C2×#638C22×C312yescomplemented
102#3828—24no—
103C2×C4⋊(C3⋊D3)—24no—
104C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
105C2×C4⋊(C3⋊D3)C22×C312yes—
106C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
107C2×C4×C3⋊D3C22×C312yescomplemented
108C2×C4×C3⋊D3C22×C312yescomplemented
109C2×#634C22×C311yescharacteristic, complemented
110C2×C3×#67—38no—
111C2×C3×#67—38no—
112C3×#235—616no—
113C2×C3×D12—34no—
114C2×C3×D12—38no—
115C2×C3×D12—34no—
116C2×C3×D12—616no—
117C2×C3×C4×D3—38no—
118C2×C3×C4×D3—38no—
119C2×C3×Dic6—34no—
120C32×C4⋊C4—24no—
121C32×C4⋊C4C2×D314yescomplemented
122C32×C4⋊C4C22×C311yescharacteristic, complemented
123C32×C22⋊C4—24no—
124C32×C22⋊C4—24no—
125C32×C22⋊C4C2×D314yes—
126C32×C22⋊C4C2×D314yescomplemented
127C32×C22⋊C4C22×C311yescharacteristic
128C32×C22⋊C4C22×C311yescharacteristic, complemented
129C32×C42—24no—
130C32×C42C2×D314yescomplemented
131C32×C42C22×C311yescharacteristic, complemented
132#3757C22×C312yes—
133#3752C22×C312yescomplemented
134#3752C22×C312yescomplemented
135#3752C22×C312yescomplemented
136#3752C22×C312yescomplemented
137C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
138#3750C22×C312yescomplemented
139C3×#217—38no—
140C3×(C2×D3)⋊C4—38no—
141C3×(C2×D3)⋊C4—38no—
142C3×(C2×D3)⋊C4—38no—
143C3×(C2×D3)⋊C4—38no—
144C3×C4⋊Dic3—34no—
145C3×Dic3⋊C4—38no—
146C22×C33—21no—
147C22×C33—21no—
148C22×C33—21no—
149C22×C33—21no—
150C22×C33—21no—
151C22×C33#4112yescomplemented
152C22×C33C2411yescharacteristic
153C2×C3×C3⋊D3—22no—
154C2×C3×C3⋊D3—22no—
155C2×C3×C3⋊D3—22no—
156C2×C3×C3⋊D3—22no—
157C2×C3×C3⋊D3—22no—
158C2×C3×C3⋊D3—48no—
159C2×C3×C3⋊D3C2×D414yes—
160C33×C4—21no—
161C33×C4—21no—
162C33×C4—21no—
163C33×C4—21no—
164C33×C4C2×D412yes—
165C3×C3⋊Dic3—22no—
166C3×C3⋊Dic3—22no—
167C2×C3×#41—91no—
168C22×C3×D4—91no—
169C2×#235—34no—
170C22×D12—34no—
171C3×#124—91no—
172C3×#123—92no—
173C3×C22⋊Q8—91no—
174C3×#121—91no—
175C3×#121—92no—
176C3×#120—92no—
177C3×C4×D4—24no—
178C3×C4×D4—91no—
179C3×C4×D4C3×D314yescomplemented
180C3×C4×D4C3⋊D311yescharacteristic, complemented
181C2×C3×C22⋊C4—92no—
182#937—38no—
183#930—34no—
184#924—34no—
185#894—38no—
186#884—38no—
187D3×C22⋊C4—38no—
188#875—34no—
189C4×D12—34no—
190C23×C32—24no—
191C23×C32—24no—
192C23×C32C22×D314yes—
193C23×C32C22×D314yes—
194C23×C32C23×C311yescharacteristic
195C23×C32C23×C311yescharacteristic
196C22×C3⋊D3—24no—
197C22×C3⋊D3—24no—
198C22×C3⋊D3—42no—
199C22×C3⋊D3C23×C312yes—
200C22×C3⋊D3C23×C312yes—
201C22×C3×D3—38no—
202C22×C3×D3—38no—
203C22×C3×D3—616no—
204C22×C3×D3—616no—
205C22×C3×D3—128no—
206C32×D4—216no—
207C32×D4—28no—
208C32×D4—22no—
209C2×C32×C4—22no—
210C2×C32×C4—22no—
211C2×C32×C4—24no—
212C2×C32×C4—24no—
213C2×C32×C4—24no—
214C2×C32×C4—24no—
215C2×C32×C4—24no—
216C2×C32×C4—28no—
217C2×C32×C4—28no—
218C2×C32×C4—48no—
219C2×C32×C4—48no—
220C2×C32×C4C22×D314yes—
221C2×C32×C4C22×D314yes—
222C2×C32×C4C22×D314yes—
223C2×C32×C4C22×D314yes—
224C2×C32×C4C22×D314yes—
225C2×C32×C4C23×C311yescharacteristic
226C2×C32×C4C23×C311yescharacteristic
227C2×C32×C4C23×C311yescharacteristic
228C2×C32×C4C23×C311yescharacteristic
229C2×C32×C4C23×C311yescharacteristic
230#638—24no—
231#638—42no—
232C2×C3⋊Dic3C23×C312yes—
233C2×C3⋊Dic3C23×C312yes—
234C4⋊(C3⋊D3)—24no—
235C4⋊(C3⋊D3)—22no—
236C4⋊(C3⋊D3)C3×D414yescomplemented
237C4×C3⋊D3—24no—
238C4×C3⋊D3—42no—
239#634—22no—
240C3×#67—616no—
241C3×#67—128no—
242C2×C3×Dic3—38no—
243C2×C3×Dic3—38no—
244C3×D12—316no—
245C3×D12—616no—
246C3×D12—68no—
247C3×C4×D3—616no—
248C3×C4×D3—128no—
249C3×Dic6—68no—
250#546—91noSylow
251C2×C33—22no—
252C2×C33—41no—
253C2×C33C22×D411yescharacteristic
254C2×C33C2×#4111yescharacteristic
255C2×C33H(5,𝔽2)11yescharacteristic
256C3×C3⋊D3—24no—
257C3×C3⋊D3—42no—
258C24×C3—92no—
259C23×D3—38no—
260C3×#41—184no—
261C2×C3×Q8—91no—
262C2×C3×D4—24no—
263C2×C3×D4—92no—
264C2×C3×D4—92no—
265C2×C3×D4—91no—
266C2×C3×D4—92no—
267C2×C3×D4—91no—
268C2×C3×D4—184no—
269C2×C3×D4C2×C3×D314yes—
270C2×C3×D4C2×C3⋊D311yescharacteristic
271C22×C3×C4—24no—
272C22×C3×C4—24no—
273C22×C3×C4—92no—
274C22×C3×C4—92no—
275C22×C3×C4C2×C3×D314yes—
276C22×C3×C4C2×C3×D314yescomplemented
277C22×C3×C4C2×C3⋊D311yescharacteristic
278C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
279C2×#67—38no—
280C2×#67—38no—
281#235—616no—
282C2×D12—34no—
283C2×D12—34no—
284C2×D12—38no—
285C2×D12—616no—
286C2×C4×D3—38no—
287C2×C4×D3—38no—
288C2×Dic6—34no—
289C3×C4⋊C4—24no—
290C3×C4⋊C4—92no—
291C3×C4⋊C4—91no—
292C3×C4⋊C4C2×C3×D314yescomplemented
293C3×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
294C3×C22⋊C4—24no—
295C3×C22⋊C4—24no—
296C3×C22⋊C4—92no—
297C3×C22⋊C4—92no—
298C3×C22⋊C4—92no—
299C3×C22⋊C4—92no—
300C3×C22⋊C4—92no—
301C3×C22⋊C4C2×C3×D314yes—
302C3×C22⋊C4C2×C3×D314yescomplemented
303C3×C22⋊C4C2×C3⋊D311yescharacteristic
304C3×C22⋊C4C2×C3⋊D311yescharacteristic, complemented
305C3×C42—24no—
306C3×C42C2×C3×D314yescomplemented
307C3×C42C2×C3⋊D311yescharacteristic, complemented
308#217—38no—
309(C2×D3)⋊C4—38no—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—38no—
313C4⋊Dic3—34no—
314Dic3⋊C4—38no—
315C22×C32—21no—
316C22×C32—21no—
317C22×C32—28no—
318C22×C32—24no—
319C22×C32—21no—
320C22×C32—21no—
321C22×C32—21no—
322C22×C32—24no—
323C22×C32—28no—
324C22×C32—24no—
325C22×C32—24no—
326C22×C32—24no—
327C22×C32—24no—
328C22×C32—44no—
329C22×C32—44no—
330C22×C32—44no—
331C22×C32—44no—
332C22×C32#23518yescomplemented
333C22×C32C3×#4112yescomplemented
334C22×C32C23×D314yes—
335C22×C32C24×C311yescharacteristic
336C2×C3⋊D3—22no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—22no—
340C2×C3⋊D3—22no—
341C2×C3⋊D3—48no—
342C2×C3⋊D3C2×C3×D414yes—
343C2×C3×D3—316no—
344C2×C3×D3—68no—
345C2×C3×D3—68no—
346C2×C3×D3—68no—
347C2×C3×D3—68no—
348C2×C3×D3—68no—
349C2×C3×D3—1232no—
350C32×C4—28no—
351C32×C4—24no—
352C32×C4—21no—
353C32×C4—21no—
354C32×C4—21no—
355C32×C4—21no—
356C32×C4—28no—
357C32×C4—24no—
358C32×C4—24no—
359C32×C4—24no—
360C32×C4—44no—
361C32×C4—44no—
362C32×C4—44no—
363C32×C4D3×D418yes—
364C32×C4C2×C3×D412yes—
365C3⋊Dic3—22no—
366C3⋊Dic3—22no—
367C3×Dic3—68no—
368C3×Dic3—68no—
369C2×#41—91no—
370C22×D4—91no—
371#124—91no—
372#123—92no—
373C22⋊Q8—91no—
374#121—91no—
375#121—92no—
376#120—92no—
377C4×D4—91no—
378C4×D4C3×C3⋊D311yescharacteristic, complemented
379C2×C22⋊C4—92no—
380C33#54611yescharacteristic, complemented, Sylow
381C23×C3—24no—
382C23×C3—24no—
383C23×C3—92no—
384C23×C3—92no—
385C23×C3—184no—
386C23×C3—184no—
387C23×C3—362no—
388C23×C3C22×C3×D314yes—
389C23×C3C22×C3×D314yes—
390C23×C3C22×C3⋊D311yescharacteristic
391C23×C3C22×C3⋊D311yescharacteristic
392C22×D3—38no—
393C22×D3—38no—
394C22×D3—616no—
395C22×D3—616no—
396C22×D3—128no—
397C3×Q8—182no—
398C3×D4—216no—
399C3×D4—28no—
400C3×D4—22no—
401C3×D4—94no—
402C3×D4—184no—
403C3×D4—184no—
404C3×D4—182no—
405C3×D4—362no—
406C2×C3×C4—28no—
407C2×C3×C4—28no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—24no—
411C2×C3×C4—24no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—48no—
416C2×C3×C4—48no—
417C2×C3×C4—92no—
418C2×C3×C4—92no—
419C2×C3×C4—184no—
420C2×C3×C4—362no—
421C2×C3×C4C22×C3×D314yes—
422C2×C3×C4C22×C3×D314yes—
423C2×C3×C4C22×C3×D314yes—
424C2×C3×C4C22×C3×D314yes—
425C2×C3×C4C22×C3×D314yes—
426C2×C3×C4C22×C3⋊D311yescharacteristic
427C2×C3×C4C22×C3⋊D311yescharacteristic
428C2×C3×C4C22×C3⋊D311yescharacteristic
429C2×C3×C4C22×C3⋊D311yescharacteristic
430C2×C3×C4C22×C3⋊D311yescharacteristic
431#67—616no—
432#67—128no—
433C2×Dic3—38no—
434C2×Dic3—38no—
435D12—316no—
436D12—616no—
437D12—68no—
438C4×D3—616no—
439C4×D3—128no—
440Dic6—68no—
441C2×C32—22no—
442C2×C32—24no—
443C2×C32—24no—
444C2×C32—24no—
445C2×C32—28no—
446C2×C32—48no—
447C2×C32—48no—
448C2×C32—44no—
449C2×C32—41no—
450C2×C32C2×#23514yes—
451C2×C32C2×D3×D414yes—
452C2×C32#100914yes—
453C2×C32C22×C3×D411yescharacteristic
454C2×C32C2×C3×#4111yescharacteristic
455C2×C32C3×H(5,𝔽2)11yescharacteristic
456C3⋊D3—24no—
457C3⋊D3—42no—
458C3×D3—616no—
459C3×D3—128no—
460C24—92no—
461#41—184no—
462C2×Q8—91no—
463C2×D4—92no—
464C2×D4—92no—
465C2×D4—91no—
466C2×D4—92no—
467C2×D4—91no—
468C2×D4—184no—
469C2×D4C2×C3×C3⋊D311yescharacteristic
470C22×C4—92no—
471C22×C4—92no—
472C22×C4C2×C3×C3⋊D311yescharacteristic
473C22×C4C2×C3×C3⋊D311yescharacteristic, complemented
474C4⋊C4—91no—
475C4⋊C4—92no—
476C4⋊C4C2×C3×C3⋊D311yescharacteristic, complemented
477C22⋊C4—92no—
478C22⋊C4—92no—
479C22⋊C4—92no—
480C22⋊C4—92no—
481C22⋊C4—92no—
482C22⋊C4C2×C3×C3⋊D311yescharacteristic
483C22⋊C4C2×C3×C3⋊D311yescharacteristic, complemented
484C42C2×C3×C3⋊D311yescharacteristic, complemented
485C22×C3—24no—
486C22×C3—24no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—28no—
490C22×C3—24no—
491C22×C3—24no—
492C22×C3—24no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—24no—
497C22×C3—28no—
498C22×C3—44no—
499C22×C3—44no—
500C22×C3—44no—
501C22×C3—44no—
502C22×C3—94no—
503C22×C3—182no—
504C22×C3—182no—
505C22×C3—182no—
506C22×C3—182no—
507C22×C3—182no—
508C22×C3—368no—
509C22×C3C3×#23518yescomplemented
510C22×C3#382812yescomplemented
511C22×C3C23×C3×D314yes—
512C22×C3C23×C3⋊D311yescharacteristic
513C2×D3—316no—
514C2×D3—68no—
515C2×D3—68no—
516C2×D3—68no—
517C2×D3—68no—
518C2×D3—68no—
519C2×D3—1232no—
520C3×C4—28no—
521C3×C4—24no—
522C3×C4—24no—
523C3×C4—24no—
524C3×C4—24no—
525C3×C4—21no—
526C3×C4—21no—
527C3×C4—21no—
528C3×C4—21no—
529C3×C4—28no—
530C3×C4—44no—
531C3×C4—44no—
532C3×C4—44no—
533C3×C4—182no—
534C3×C4—182no—
535C3×C4C3×D3×D418yes—
536C3×C4D4×C3⋊D312yes—
537Dic3—68no—
538Dic3—68no—
539C32—24no—
540C32#555014yescomplemented
541C32C3×#54611yescharacteristic, complemented
542C23—92no—
543C23—92no—
544C23—184no—
545C23—184no—
546C23—362no—
547C23C22×C3×C3⋊D311yescharacteristic
548C23C22×C3×C3⋊D311yescharacteristic
549Q8—182no—
550D4—22no—
551D4—94no—
552D4—184no—
553D4—184no—
554D4—182no—
555D4—362no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—92no—
559C2×C4—92no—
560C2×C4—184no—
561C2×C4—362no—
562C2×C4C22×C3×C3⋊D311yescharacteristic
563C2×C4C22×C3×C3⋊D311yescharacteristic
564C2×C4C22×C3×C3⋊D311yescharacteristic
565C2×C4C22×C3×C3⋊D311yescharacteristic
566C2×C4C22×C3×C3⋊D311yescharacteristic
567C2×C3—28no—
568C2×C3—22no—
569C2×C3—24no—
570C2×C3—24no—
571C2×C3—24no—
572C2×C3—48no—
573C2×C3—48no—
574C2×C3—44no—
575C2×C3—41no—
576C2×C3—184no—
577C2×C3—362no—
578C2×C3C2×C3×#23514yes—
579C2×C3C2×C3×D3×D414yes—
580C2×C3C3×#100914yes—
581C2×C3C2×#382811yescharacteristic
582C2×C3C2×D4×C3⋊D311yescharacteristic
583C2×C3#6436611yescharacteristic
584D3—616no—
585D3—128no—
586C22—21no—
587C22—21no—
588C22—21no—
589C22—21no—
590C22—21no—
591C22—94no—
592C22—182no—
593C22—182no—
594C22—182no—
595C22—182no—
596C22—182no—
597C22—368no—
598C22C3×#382812yescomplemented
599C22C23×C3×C3⋊D311yescharacteristic
600C4—21no—
601C4—21no—
602C4—21no—
603C4—21no—
604C4—182no—
605C4—182no—
606C4C3×D4×C3⋊D312yes—
607C3—24no—
608C3C3×#555014yescomplemented
609C3#1059602111yescharacteristic, direct product factor
610C2—22no—
611C2—41no—
612C2—184no—
613C2—362no—
614C2C2×C3×#382811yescharacteristic
615C2C2×C3×D4×C3⋊D311yescharacteristic
616C2C3×#6436611yescharacteristic
subgroupG/H
centerC22×C3C23×C3⋊D3
commutator, cosocleC22×C32C24×C3
FrattiniC22C23×C3×C3⋊D3
FittingC33×C4×D4C2
socleC22×C33C24
hypercenterC3×C4×D4C3⋊D3
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C3×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3828C2semidirect
2. C22×C3×C4⋊(C3⋊D3)C2semidirect
3. C33×C4×D4C2semidirect
4. C3×#64146C2semidirect
5. C3×#64139C2semidirect
6. C3×#64133C2semidirect
7. C3×#64103C2semidirect
8. C3×#64093C2semidirect
9. C3×C22⋊C4×C3⋊D3C2semidirect
10. C3×#64084C2semidirect
11. C3×C4×C4⋊(C3⋊D3)C2semidirect
12. #10596021C3direct (N × H)
17. C22×C33×C4C22semidirect
18. C2×C3×#638C22semidirect
19. C2×C3×#638C22semidirect
25. C2×C3×C4×C3⋊D3C22semidirect
26. C2×C3×C4×C3⋊D3C22semidirect
27. C2×C3×#634C22semidirect
28. C33×C4⋊C4C22semidirect
30. C33×C22⋊C4C22semidirect
31. C33×C42C22semidirect
33. C3×#3752C22semidirect
34. C3×#3752C22semidirect
35. C3×#3752C22semidirect
36. C3×#3752C22semidirect
37. C3×C4⋊(C3⋊Dic3)C22semidirect
38. C3×#3750C22semidirect
39. C2×#3828C2×C3semidirect
40. C22×C4⋊(C3⋊D3)C2×C3semidirect
44. C32×C4×D4D3semidirect
45. C32×C4×D4C2×C3semidirect
46. #64146C2×C3semidirect
47. #64139C2×C3semidirect
48. #64133C2×C3semidirect
49. #64103C2×C3semidirect
50. #64093C2×C3semidirect
51. C22⋊C4×C3⋊D3C2×C3semidirect
52. #64084C2×C3semidirect
53. C4×C4⋊(C3⋊D3)C2×C3semidirect
83. C3×C4⋊(C3⋊D3)D4semidirect
97. C22×C32×C4C2×D3semidirect
99. C22×C32×C4C22×C3semidirect
100. C2×#638C22×C3semidirect
101. C2×#638C22×C3semidirect
107. C2×C4×C3⋊D3C22×C3semidirect
108. C2×C4×C3⋊D3C22×C3semidirect
109. C2×#634C22×C3semidirect
121. C32×C4⋊C4C2×D3semidirect
122. C32×C4⋊C4C22×C3semidirect
126. C32×C22⋊C4C2×D3semidirect
128. C32×C22⋊C4C22×C3semidirect
130. C32×C42C2×D3semidirect
131. C32×C42C22×C3semidirect
133. #3752C22×C3semidirect
134. #3752C22×C3semidirect
135. #3752C22×C3semidirect
136. #3752C22×C3semidirect
137. C4⋊(C3⋊Dic3)C22×C3semidirect
138. #3750C22×C3semidirect
151. C22×C33#41semidirect
179. C3×C4×D4C3×D3semidirect
180. C3×C4×D4C3⋊D3semidirect
236. C4⋊(C3⋊D3)C3×D4semidirect
276. C22×C3×C4C2×C3×D3semidirect
278. C22×C3×C4C2×C3⋊D3semidirect
292. C3×C4⋊C4C2×C3×D3semidirect
293. C3×C4⋊C4C2×C3⋊D3semidirect
302. C3×C22⋊C4C2×C3×D3semidirect
304. C3×C22⋊C4C2×C3⋊D3semidirect
306. C3×C42C2×C3×D3semidirect
307. C3×C42C2×C3⋊D3semidirect
332. C22×C32#235semidirect
333. C22×C32C3×#41semidirect
378. C4×D4C3×C3⋊D3semidirect
380. C33#546semidirect
473. C22×C4C2×C3×C3⋊D3semidirect
476. C4⋊C4C2×C3×C3⋊D3semidirect
483. C22⋊C4C2×C3×C3⋊D3semidirect
484. C42C2×C3×C3⋊D3semidirect
509. C22×C3C3×#235semidirect
510. C22×C3#3828semidirect
540. C32#5550semidirect
541. C32C3×#546semidirect
598. C22C3×#3828semidirect
608. C3C3×#5550semidirect
609. C3#10596021direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C22×C3×C4⋊(C3⋊D3)2
C33×C4×D42
C3×#641462
C3×#641392
C3×#641332
C3×#641032
C3×#640932
C3×C22⋊C4×C3⋊D32
C3×#640842
C3×C4×C4⋊(C3⋊D3)2
#105960213
C3×#55503