Finite Group Databasebeta

← C3×#10591321 #13158239

Subgroups — C3×#10591321 #13158239

Order 1728.

1410 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic
2C2×C32×Dic3⋊C4C211yesmaximal, characteristic, complemented
3C2×C3×#3722C212yesmaximal, complemented
4C2×C3×#3722C212yesmaximal, complemented
5C32×C3⋊#95C211yesmaximal, characteristic, complemented
6C3×#4991—31nomaximal
7C3×#4672—31nomaximal
8#10591321C311yesmaximal, characteristic, direct product factor
9C23×C3×C3⋊D3C2212yes—
10C22×C33×C4C2211yescharacteristic
11C2×C3×C4⋊(C3⋊D3)—24no—
12C2×C3×C4⋊(C3⋊D3)—22no—
13C22×C32×Dic3C2211yescharacteristic
14C22×C32×Dic3C2212yes—
15C22×C32×Dic3C2211yescharacteristic
16C32×Dic3⋊C4—22no—
17C3×#3722—24no—
18C3×#3722—24no—
19C22×C4⋊(C3⋊D3)C2×C311yescharacteristic
20C22×C3×D12—31no—
21C22×C3×D12—31no—
22C22×C3×D12—61no—
23C2×C32×C4⋊C4—31no—
24C2×C3×(C2×D3)⋊C4—32no—
25C2×C3×(C2×D3)⋊C4—32no—
26C2×C3×(C2×D3)⋊C4—32no—
27C2×C3×(C2×D3)⋊C4—32no—
28C2×C3×Dic3⋊C4—21no—
29C2×C3×Dic3⋊C4D311yescharacteristic, complemented
30C2×C3×Dic3⋊C4C2×C311yescharacteristic, complemented
31C2×#3722C2×C312yescomplemented
32C2×#3722C2×C312yescomplemented
33C32×#95—31no—
34C3×C3⋊#95—21no—
35C3×C3⋊#95D311yescharacteristic, complemented
36C3×C3⋊#95C2×C311yescharacteristic, complemented
37C23×C33C2311yescharacteristic
38C22×C3×C3⋊D3—22no—
39C22×C3×C3⋊D3—22no—
40C22×C3×C3⋊D3—22no—
41C22×C3×C3⋊D3—22no—
42C22×C3×C3⋊D3—22no—
43C22×C3×C3⋊D3—22no—
44C22×C3×C3⋊D3D414yes—
45C2×C33×C4—22no—
46C2×C33×C4D412yes—
47C3×C4⋊(C3⋊D3)—28no—
48C2×C32×Dic3—21no—
49C2×C32×Dic3—21no—
50C2×C32×Dic3—21no—
51C2×C32×Dic3—22no—
52C2×C32×Dic3—22no—
53C2×C32×Dic3—22no—
54C2×C32×Dic3—22no—
55C2×C32×Dic3D412yescomplemented
56C3×#394—91no—
57#4991—31no—
58#4672—31no—
59C23×C3⋊D3C22×C312yes—
60C23×C3×D3—32no—
61C23×C3×D3—32no—
62C23×C3×D3—62no—
63C22×C32×C4—21no—
64C22×C32×C4—21no—
65C22×C32×C4—21no—
66C22×C32×C4—31no—
67C22×C32×C4—31no—
68C22×C32×C4—32no—
69C22×C32×C4—41no—
70C22×C32×C4C2×D311yescharacteristic
71C22×C32×C4C2×D311yescharacteristic
72C22×C32×C4C22×C311yescharacteristic
73C2×C4⋊(C3⋊D3)—24no—
74C2×C4⋊(C3⋊D3)—22no—
75C22×C3×Dic3—21no—
76C22×C3×Dic3—21no—
77C22×C3×Dic3—22no—
78C22×C3×Dic3C2×D311yescharacteristic
79C22×C3×Dic3C2×D312yes—
80C22×C3×Dic3C2×D311yescharacteristic
81C22×C3×Dic3C22×C311yescharacteristic
82C22×C3×Dic3C22×C312yes—
83C22×C3×Dic3C22×C311yescharacteristic
84C2×C3×D12—64no—
85C2×C3×D12—64no—
86C2×C3×D12—68no—
87C2×C3×D12—64no—
88C2×C3×D12—62no—
89C2×C3×D12—62no—
90C32×C4⋊C4—62no—
91C3×(C2×D3)⋊C4—64no—
92C3×(C2×D3)⋊C4—64no—
93C3×(C2×D3)⋊C4—64no—
94C3×(C2×D3)⋊C4—64no—
95C3×Dic3⋊C4—24no—
96C3×Dic3⋊C4—22no—
97C3×Dic3⋊C4—22no—
98#3722—24no—
99#3722—24no—
100C22×C33C2×D412yes—
101C22×C33C2×D411yescharacteristic
102C22×C33C2×D411yescharacteristic
103C22×C33#4111yescharacteristic
104C22×C33#4112yes—
105C2×C3×C3⋊D3—24no—
106C2×C3×C3⋊D3—24no—
107C2×C3×C3⋊D3—24no—
108C2×C3×C3⋊D3—42no—
109C2×C3×C3⋊D3—42no—
110C2×C3×C3⋊D3—42no—
111C2×C3×C3⋊D3—42no—
112C33×C4—22no—
113C32×Dic3—22no—
114C32×Dic3—41no—
115C32×Dic3—42no—
116C22×C3×D4—91no—
117C22×D12—31no—
118C22×D12—31no—
119C22×D12—61no—
120C2×C3×C4⋊C4—31no—
121C2×C3×C4⋊C4—31no—
122C2×C3×C4⋊C4—61no—
123C2×C3×C22⋊C4—92no—
124C2×C3×C22⋊C4—92no—
125C2×(C2×D3)⋊C4—32no—
126C2×(C2×D3)⋊C4—32no—
127C2×(C2×D3)⋊C4—32no—
128C2×(C2×D3)⋊C4—32no—
129C2×Dic3⋊C4C3×D311yescharacteristic, complemented
130C3×#95—31no—
131C3×#95—31no—
132C3×#95—61no—
133C3⋊#95C3×D311yescharacteristic, complemented
134C23×C32—21no—
135C23×C32—21no—
136C23×C32—21no—
137C23×C32—41no—
138C23×C32C22×D311yescharacteristic
139C23×C32C22×D311yescharacteristic
140C23×C32C23×C311yescharacteristic
141C22×C3⋊D3—22no—
142C22×C3⋊D3—22no—
143C22×C3⋊D3—22no—
144C22×C3⋊D3—22no—
145C22×C3⋊D3—22no—
146C22×C3⋊D3—22no—
147C22×C3⋊D3C3×D414yes—
148C22×C3×D3—34no—
149C22×C3×D3—34no—
150C22×C3×D3—64no—
151C22×C3×D3—64no—
152C22×C3×D3—64no—
153C22×C3×D3—62no—
154C22×C3×D3—62no—
155C22×C3×D3—62no—
156C22×C3×D3—62no—
157C22×C3×D3—62no—
158C22×C3×D3—62no—
159C22×C3×D3—62no—
160C22×C3×D3—62no—
161C22×C3×D3—62no—
162C22×C3×D3—62no—
163C22×C3×D3—62no—
164C22×C3×D3—62no—
165C22×C3×D3—122no—
166C22×C3×D3—122no—
167C22×C3×D3—122no—
168C22×C3×D3—122no—
169C2×C32×C4—22no—
170C2×C32×C4—24no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—32no—
177C2×C32×C4—42no—
178C2×C32×C4—42no—
179C2×C32×C4—42no—
180C2×C32×C4—44no—
181C2×C32×C4—61no—
182C2×C32×C4—61no—
183C2×C32×C4—61no—
184C2×C32×C4—62no—
185C2×C32×C4—62no—
186C2×C32×C4—62no—
187C2×C32×C4—62no—
188C2×C32×C4D1212yes—
189C2×C32×C4#6712yes—
190C2×C32×C4C3×D412yes—
191C4⋊(C3⋊D3)—28no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—24no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—21no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—42no—
212C2×C3×Dic3—42no—
213C2×C3×Dic3—42no—
214C2×C3×Dic3D1212yescomplemented
215C2×C3×Dic3C3×D412yescomplemented
216C3×D12—616no—
217C3×D12—68no—
218C3×D12—68no—
219#394—91noSylow
220C2×C33#12011yescharacteristic
221C2×C33#12112yes—
222C2×C33#12111yescharacteristic
223C2×C33#12312yes—
224C2×C33#12411yescharacteristic
225C3×C3⋊D3—44no—
226C24×C3—92no—
227C23×D3—32no—
228C23×D3—32no—
229C23×D3—62no—
230C2×C3×D4—184no—
231C2×C3×D4—182no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—31no—
239C22×C3×C4—32no—
240C22×C3×C4—31no—
241C22×C3×C4—41no—
242C22×C3×C4—61no—
243C22×C3×C4—62no—
244C22×C3×C4—61no—
245C22×C3×C4D3211yescharacteristic
246C22×C3×C4C2×C3×D311yescharacteristic
247C22×C3×C4C2×C3×D311yescharacteristic
248C22×Dic3C2×C3×D312yes—
249C22×Dic3C2×C3×D311yescharacteristic
250C22×Dic3C2×C3×D311yescharacteristic
251C2×D12—64no—
252C2×D12—64no—
253C2×D12—68no—
254C2×D12—64no—
255C2×D12—62no—
256C2×D12—62no—
257C3×C4⋊C4—64no—
258C3×C4⋊C4—62no—
259C3×C4⋊C4—62no—
260C3×C22⋊C4—184no—
261C3×C22⋊C4—184no—
262(C2×D3)⋊C4—64no—
263(C2×D3)⋊C4—64no—
264(C2×D3)⋊C4—64no—
265(C2×D3)⋊C4—64no—
266Dic3⋊C4—22no—
267C22×C32—22no—
268C22×C32—21no—
269C22×C32—21no—
270C22×C32—21no—
271C22×C32—22no—
272C22×C32—21no—
273C22×C32—21no—
274C22×C32—22no—
275C22×C32—21no—
276C22×C32—21no—
277C22×C32—22no—
278C22×C32—22no—
279C22×C32—21no—
280C22×C32—22no—
281C22×C32—21no—
282C22×C32—41no—
283C22×C32—42no—
284C22×C32—41no—
285C22×C32—41no—
286C22×C32—42no—
287C22×C32C2×D1211yescharacteristic
288C22×C32C2×D1211yescharacteristic
289C22×C32#23512yes—
290C22×C32#23511yescharacteristic
291C22×C32D3×D411yescharacteristic
292C22×C32D3×D412yes—
293C22×C32D3×D412yes—
294C22×C32#23911yescharacteristic
295C22×C32#23912yes—
296C22×C32C2×#6711yescharacteristic
297C22×C32C2×C3×D411yescharacteristic
298C22×C32C2×C3×D411yescharacteristic
299C22×C32C2×C3×D412yes—
300C22×C32C3×#4111yescharacteristic
301C22×C32C3×#4112yes—
302C2×C3⋊D3—24no—
303C2×C3⋊D3—24no—
304C2×C3⋊D3—24no—
305C2×C3⋊D3—42no—
306C2×C3⋊D3—42no—
307C2×C3⋊D3—42no—
308C2×C3⋊D3—42no—
309C2×C3×D3—68no—
310C2×C3×D3—64no—
311C2×C3×D3—64no—
312C2×C3×D3—64no—
313C2×C3×D3—64no—
314C2×C3×D3—64no—
315C2×C3×D3—64no—
316C2×C3×D3—124no—
317C2×C3×D3—124no—
318C2×C3×D3—124no—
319C2×C3×D3—124no—
320C2×C3×D3—124no—
321C2×C3×D3—124no—
322C2×C3×D3—122no—
323C2×C3×D3—122no—
324C2×C3×D3—122no—
325C2×C3×D3—122no—
326C2×C3×D3—122no—
327C2×C3×D3—122no—
328C2×C3×D3—122no—
329C2×C3×D3—122no—
330C32×C4—22no—
331C32×C4—24no—
332C32×C4—22no—
333C32×C4—22no—
334C32×C4—42no—
335C32×C4—42no—
336C32×C4—44no—
337C32×C4—62no—
338C32×C4—121no—
339C32×C4—122no—
340C3×Dic3—24no—
341C3×Dic3—22no—
342C3×Dic3—22no—
343C3×Dic3—44no—
344C3×Dic3—42no—
345C3×Dic3—42no—
346C3×Dic3—41no—
347C3×Dic3—41no—
348C3×Dic3—42no—
349C22×D4—91no—
350C2×C4⋊C4—31no—
351C2×C22⋊C4—92no—
352C2×C22⋊C4—92no—
353#95—31no—
354C33#39411yescharacteristic, complemented, Sylow
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—41no—
359C23×C3—94no—
360C23×C3—182no—
361C23×C3—182no—
362C23×C3—182no—
363C23×C3—182no—
364C23×C3—182no—
365C23×C3—182no—
366C23×C3C2×D3211yescharacteristic
367C23×C3C22×C3×D311yescharacteristic
368C23×C3C22×C3×D311yescharacteristic
369C22×D3—34no—
370C22×D3—34no—
371C22×D3—64no—
372C22×D3—64no—
373C22×D3—64no—
374C22×D3—62no—
375C22×D3—62no—
376C22×D3—62no—
377C22×D3—62no—
378C22×D3—62no—
379C22×D3—62no—
380C22×D3—62no—
381C22×D3—62no—
382C22×D3—62no—
383C22×D3—62no—
384C22×D3—62no—
385C22×D3—62no—
386C22×D3—122no—
387C22×D3—122no—
388C22×D3—122no—
389C22×D3—122no—
390C3×D4—188no—
391C2×C3×C4—24no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—32no—
399C2×C3×C4—32no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—44no—
403C2×C3×C4—42no—
404C2×C3×C4—62no—
405C2×C3×C4—62no—
406C2×C3×C4—62no—
407C2×C3×C4—61no—
408C2×C3×C4—61no—
409C2×C3×C4—61no—
410C2×C3×C4—61no—
411C2×C3×C4—62no—
412C2×C3×C4—64no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—61no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—61no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4—62no—
423C2×C3×C4—122no—
424C2×C3×C4—122no—
425C2×C3×C4—122no—
426C2×C3×C4#62612yes—
427C2×C3×C4C3×D1212yes—
428C2×C3×C4C3×#6712yes—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—21no—
436C2×Dic3C3×D1212yescomplemented
437D12—616no—
438D12—68no—
439D12—68no—
440C2×C32—21no—
441C2×C32—22no—
442C2×C32—22no—
443C2×C32—22no—
444C2×C32—21no—
445C2×C32—22no—
446C2×C32—21no—
447C2×C32—21no—
448C2×C32—21no—
449C2×C32—21no—
450C2×C32—22no—
451C2×C32—21no—
452C2×C32—22no—
453C2×C32—21no—
454C2×C32—21no—
455C2×C32—41no—
456C2×C32—41no—
457C2×C32—42no—
458C2×C32—42no—
459C2×C32—41no—
460C2×C32#87511yescharacteristic
461C2×C32#88211yescharacteristic
462C2×C32#88412yes—
463C2×C32#89412yes—
464C2×C32#89412yes—
465C2×C32#89511yescharacteristic
466C2×C32#89512yes—
467C2×C32#93011yescharacteristic
468C2×C32#93711yescharacteristic
469C2×C32#94711yescharacteristic
470C2×C32C3×#12011yescharacteristic
471C2×C32C3×#12112yes—
472C2×C32C3×#12111yescharacteristic
473C2×C32C3×#12312yes—
474C2×C32C3×#12411yescharacteristic
475C3⋊D3—44no—
476C3×D3—128no—
477C3×D3—124no—
478C3×D3—124no—
479C24—92no—
480C2×D4—184no—
481C2×D4—182no—
482C22×C4—31no—
483C22×C4—32no—
484C22×C4—31no—
485C22×C4C3×D3211yescharacteristic
486C4⋊C4—62no—
487C22⋊C4—184no—
488C22⋊C4—184no—
489C22×C3—22no—
490C22×C3—21no—
491C22×C3—22no—
492C22×C3—21no—
493C22×C3—22no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—42no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—41no—
508C22×C3—42no—
509C22×C3—184no—
510C22×C3—184no—
511C22×C3—184no—
512C22×C3—362no—
513C22×C3—362no—
514C22×C3—362no—
515C22×C3—362no—
516C22×C3#379912yes—
517C22×C3#379911yescharacteristic
518C22×C3D3×D1211yescharacteristic
519C22×C3C2×#62611yescharacteristic
520C22×C3#381112yes—
521C22×C3C2×C3×D1211yescharacteristic
522C22×C3C2×C3×D1211yescharacteristic
523C22×C3C3×#23512yes—
524C22×C3C3×#23511yescharacteristic
525C22×C3C3×D3×D411yescharacteristic
526C22×C3C3×D3×D412yes—
527C22×C3C3×D3×D412yes—
528C22×C3C3×#23911yescharacteristic
529C22×C3C3×#23912yes—
530C22×C3C2×C3×#6711yescharacteristic
531C2×D3—68no—
532C2×D3—64no—
533C2×D3—64no—
534C2×D3—64no—
535C2×D3—64no—
536C2×D3—64no—
537C2×D3—64no—
538C2×D3—124no—
539C2×D3—124no—
540C2×D3—124no—
541C2×D3—124no—
542C2×D3—124no—
543C2×D3—124no—
544C2×D3—122no—
545C2×D3—122no—
546C2×D3—122no—
547C2×D3—122no—
548C2×D3—122no—
549C2×D3—122no—
550C2×D3—122no—
551C2×D3—122no—
552C3×C4—24no—
553C3×C4—22no—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—42no—
557C3×C4—42no—
558C3×C4—44no—
559C3×C4—64no—
560C3×C4—62no—
561C3×C4—62no—
562C3×C4—122no—
563C3×C4—124no—
564C3×C4—121no—
565C3×C4—122no—
566C3×C4—122no—
567C3×C4—121no—
568Dic3—22no—
569Dic3—42no—
570Dic3—41no—
571C32—21no—
572C32—21no—
573C32—21no—
574C32—41no—
575C32#467211yescharacteristic, complemented
576C32#499111yescharacteristic, complemented
577C32C3×#39411yescharacteristic, complemented
578C23—94no—
579C23—182no—
580C23—182no—
581C23—182no—
582C23—182no—
583C23—182no—
584C23—182no—
585C23C2×C3×D3211yescharacteristic
586D4—188no—
587C2×C4—22no—
588C2×C4—32no—
589C2×C4—61no—
590C2×C4—61no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—61no—
594C2×C4—62no—
595C2×C4—62no—
596C2×C4C3×#62612yes—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—22no—
604C2×C3—22no—
605C2×C3—22no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—22no—
610C2×C3—22no—
611C2×C3—22no—
612C2×C3—41no—
613C2×C3—41no—
614C2×C3—42no—
615C2×C3—41no—
616C2×C3—42no—
617C2×C3—364no—
618C2×C3#6386411yescharacteristic
619C2×C3#6389712yes—
620C2×C3#6390911yescharacteristic
621C2×C3#6391012yes—
622C2×C3#6398111yescharacteristic
623C2×C3C3×#87511yescharacteristic
624C2×C3C3×#88211yescharacteristic
625C2×C3C3×#88412yes—
626C2×C3C3×#89412yes—
627C2×C3C3×#89412yes—
628C2×C3C3×#89511yescharacteristic
629C2×C3C3×#89512yes—
630C2×C3C3×#93011yescharacteristic
631C2×C3C3×#93711yescharacteristic
632C2×C3C3×#94711yescharacteristic
633D3—128no—
634D3—124no—
635D3—124no—
636C22—184no—
637C22—184no—
638C22—184no—
639C22—362no—
640C22—362no—
641C22—362no—
642C22—362no—
643C22C3×#379912yes—
644C22C3×#379911yescharacteristic
645C22C3×D3×D1211yescharacteristic
646C22C2×C3×#62611yescharacteristic
647C22C3×#381112yes—
648C4—22no—
649C4—62no—
650C4—121no—
651C4—122no—
652C3—21no—
653C3—21no—
654C3—21no—
655C3—41no—
656C3#1059132111yescharacteristic, direct product factor
657C3C3×#467211yescharacteristic, complemented
658C3C3×#499111yescharacteristic, complemented
659C2—364no—
660C2C3×#6386411yescharacteristic
661C2C3×#6389712yes—
662C2C3×#6390911yescharacteristic
663C2C3×#6391012yes—
664C2C3×#6398111yescharacteristic
subgroupG/H
centerC23×C3C2×D32
commutator, cosocleC23×C32C23×C3
FrattiniC23C2×C3×D32
FittingC22×C33×C4C22
socleC23×C33C23
prime radicalC22×C3×C4⋊(C3⋊D3)C2
hypercenterC22×C3×C4D32
hypocenterC32C3×#394
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C2×C32×Dic3⋊C4C2semidirect
3. C2×C3×#3722C2semidirect
4. C2×C3×#3722C2semidirect
5. C32×C3⋊#95C2semidirect
8. #10591321C3direct (N × H)
29. C2×C3×Dic3⋊C4D3semidirect
30. C2×C3×Dic3⋊C4C2×C3semidirect
31. C2×#3722C2×C3semidirect
32. C2×#3722C2×C3semidirect
35. C3×C3⋊#95D3semidirect
36. C3×C3⋊#95C2×C3semidirect
55. C2×C32×Dic3D4semidirect
129. C2×Dic3⋊C4C3×D3semidirect
133. C3⋊#95C3×D3semidirect
214. C2×C3×Dic3D12semidirect
215. C2×C3×Dic3C3×D4semidirect
354. C33#394semidirect
436. C2×Dic3C3×D12semidirect
575. C32#4672semidirect
576. C32#4991semidirect
577. C32C3×#394semidirect
656. C3#10591321direct (N × H)
657. C3C3×#4672semidirect
658. C3C3×#4991semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C4⋊(C3⋊D3)2
C2×C32×Dic3⋊C42
C2×C3×#37222
C32×C3⋊#952
C3×#49913
C3×#46723
#105913213