Finite Group Databasebeta

← C3×#77957 #11824541

Subgroups — C3×#77957 #11824541

Order 1152.

1523 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#895C212yesmaximal, complemented
2C2×C3×#895C211yesmaximal, characteristic, complemented
3C2×C3×#893C211yesmaximal, characteristic, complemented
4C32×#398C211yesmaximal, characteristic, complemented
5C3×#4992C211yesmaximal, characteristic, complemented
6C3×#4991C211yesmaximal, characteristic, complemented
7C3×#4990C212yesmaximal, complemented
8C3×#4671C211yesmaximal, characteristic, complemented
9C3×#4665C212yesmaximal, complemented
10C3×#4665C212yesmaximal, complemented
11C3×D3×#95C211yesmaximal, characteristic, complemented
12C3×#2543—31nomaximal
13#77957C311yesmaximal, characteristic, direct product factor
14C22×C3×D12C2212yes—
15C22×C3×D12C2212yes—
16C22×C3×D12C2211yescharacteristic
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C2×C32×C4⋊C4C2211yescharacteristic
22C2×C32×C4⋊C4C2212yes—
23C2×C32×C4⋊C4C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4C2211yescharacteristic
25C2×C3×(C2×D3)⋊C4C2211yescharacteristic
26C2×C3×(C2×D3)⋊C4C2212yes—
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×(C2×D3)⋊C4C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C3×#895—28no—
33C3×#895—24no—
34C3×#893—24no—
35C32×#95C2211yescharacteristic
36C32×#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2211yescharacteristic
39C3×C3⋊#95C2212yes—
40C2×C3×#121—31no—
41C2×C3×#121—32no—
42C2×C3×C4×D4—31no—
43C2×#895C2×C312yescomplemented
44C2×#895C2×C311yescharacteristic, complemented
45C2×#893C2×C311yescharacteristic, complemented
46C3×#398—21no—
47C3×#398D311yescharacteristic, complemented
48C3×#398C2×C311yescharacteristic, complemented
49C3×#397—31no—
50C3×#394—31no—
51C3×#392—31no—
52C3×#388—32no—
53C3×#386—32no—
54C3×#386—32no—
55C2×C3×#95—31no—
56#4992C2×C311yescharacteristic, complemented
57#4991C2×C311yescharacteristic, complemented
58#4990C2×C312yescomplemented
59#4671C2×C311yescharacteristic, complemented
60#4665C2×C312yescomplemented
61#4665C2×C312yescomplemented
62D3×#95C2×C311yescharacteristic, complemented
63C23×C3×D3C2312yes—
64C23×C3×D3C2311yescharacteristic
65C23×C3×D3C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2312yes—
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2312yes—
71C22×C3×Dic3C2311yescharacteristic
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2311yescharacteristic
74C2×C3×D12—22no—
75C2×C3×D12—22no—
76C2×C3×D12—24no—
77C2×C3×D12—24no—
78C2×C3×D12—24no—
79C2×C3×D12—24no—
80C2×C3×D12—22no—
81C2×C3×D12—24no—
82C2×C3×D12—42no—
83C2×C3×D12—42no—
84C2×C3×D12D414yescomplemented
85C2×C3×C4×D3—24no—
86C2×C3×C4×D3—24no—
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—42no—
89C2×C3×C4×D3—42no—
90C2×C3×C4×D3—42no—
91C2×C3×C4×D3D414yescomplemented
92C32×C4⋊C4—22no—
93C32×C4⋊C4—24no—
94C32×C4⋊C4—22no—
95C3×(C2×D3)⋊C4—22no—
96C3×(C2×D3)⋊C4—24no—
97C3×(C2×D3)⋊C4—22no—
98C3×(C2×D3)⋊C4—24no—
99C3×(C2×D3)⋊C4—24no—
100C3×(C2×D3)⋊C4—24no—
101C3×(C2×D3)⋊C4—42no—
102C3×C4×Dic3—22no—
103#2543—31noSylow
104C22×C3×D4—31no—
105C22×C3×D4—32no—
106C22×C3×D4—32no—
107C22×C3×D4—31no—
108C23×C3×C4—31no—
109C23×C3×C4—32no—
110C23×C3×C4—31no—
111C22×D12C22×C312yes—
112C22×D12C22×C312yes—
113C22×D12C22×C311yescharacteristic
114C22×D12C22×C311yescharacteristic
115C22×C4×D3C22×C312yes—
116C22×C4×D3C22×C311yescharacteristic
117C22×C4×D3C22×C311yescharacteristic
118C3×#121—64no—
119C3×#121—68no—
120C3×C4×D4—64no—
121C2×C3×C4⋊C4—21no—
122C2×C3×C4⋊C4—22no—
123C2×C3×C4⋊C4—21no—
124C2×C3×C4⋊C4C2×D312yes—
125C2×C3×C4⋊C4C2×D311yescharacteristic
126C2×C3×C4⋊C4C2×D311yescharacteristic
127C2×C3×C4⋊C4C22×C312yes—
128C2×C3×C4⋊C4C22×C311yescharacteristic
129C2×C3×C4⋊C4C22×C311yescharacteristic
130C2×C3×C22⋊C4—31no—
131C2×C3×C22⋊C4—32no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C22⋊C4—32no—
134C2×C3×C22⋊C4—32no—
135C2×C3×C22⋊C4—31no—
136C2×C3×C22⋊C4—32no—
137C2×C3×C42—31no—
138C2×(C2×D3)⋊C4C22×C311yescharacteristic
139C2×(C2×D3)⋊C4C22×C312yes—
140C2×(C2×D3)⋊C4C22×C312yes—
141C2×(C2×D3)⋊C4C22×C312yes—
142C2×(C2×D3)⋊C4C22×C311yescharacteristic
143C2×(C2×D3)⋊C4C22×C312yes—
144C2×(C2×D3)⋊C4C22×C312yes—
145C2×C4×Dic3C22×C311yescharacteristic
146#895—28no—
147#895—24no—
148#893—24no—
149C3×#95—21no—
150C3×#95—22no—
151C3×#95—32no—
152C3×#95—31no—
153C3×#95—32no—
154C3×#95C2×D311yescharacteristic
155C3×#95C2×D312yes—
156C3×#95C22×C311yescharacteristic
157C3×#95C22×C312yes—
158C3⋊#95C22×C312yes—
159C3⋊#95C22×C311yescharacteristic
160C3⋊#95C22×C312yes—
161C23×C32C2411yescharacteristic
162C22×C3×D3—22no—
163C22×C3×D3—22no—
164C22×C3×D3—21no—
165C22×C3×D3—22no—
166C22×C3×D3—21no—
167C22×C3×D3—22no—
168C22×C3×D3—22no—
169C22×C3×D3—22no—
170C22×C3×D3—22no—
171C22×C3×D3—22no—
172C22×C3×D3—22no—
173C22×C3×D3—22no—
174C22×C3×D3—22no—
175C22×C3×D3C2×D412yes—
176C22×C3×D3C2×D412yes—
177C22×C3×D3C2×D412yes—
178C22×C3×D3#4112yes—
179C2×C32×C4—21no—
180C2×C32×C4—22no—
181C2×C32×C4—21no—
182C2×C32×C4—22no—
183C2×C32×C4—22no—
184C2×C32×C4—21no—
185C2×C32×C4—22no—
186C2×C32×C4—22no—
187C2×C32×C4—22no—
188C2×C32×C4—22no—
189C2×C32×C4C2×D412yes—
190C2×C32×C4C2×D412yes—
191C2×C32×C4#4114yes—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3C2×D412yes—
199C3×D12—28no—
200C3×D12—48no—
201C3×D12—44no—
202C3×D12—48no—
203C3×C4×D3—44no—
204C3×C4×D3—44no—
205C3×C4×D3—48no—
206C2×#121—31no—
207C2×#121—32no—
208C2×C4×D4—31no—
209#398C3×D311yescharacteristic, complemented
210#397—31no—
211#394—31no—
212#392—31no—
213#388—32no—
214#386—32no—
215#386—32no—
216C2×#95—31no—
217C24×C3—31no—
218C24×C3—31no—
219C24×C3—32no—
220C23×D3C23×C312yes—
221C23×D3C23×C311yescharacteristic
222C23×D3C23×C311yescharacteristic
223C2×C3×D4—34no—
224C2×C3×D4—62no—
225C2×C3×D4—62no—
226C2×C3×D4—64no—
227C2×C3×D4—64no—
228C2×C3×D4—64no—
229C2×C3×D4—64no—
230C2×C3×D4—62no—
231C2×C3×D4—64no—
232C2×C3×D4—122no—
233C2×C3×D4—122no—
234C22×C3×C4—22no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—22no—
239C22×C3×C4—31no—
240C22×C3×C4—34no—
241C22×C3×C4—32no—
242C22×C3×C4—31no—
243C22×C3×C4—62no—
244C22×C3×C4—64no—
245C22×C3×C4—64no—
246C22×C3×C4—122no—
247C22×C3×C4—122no—
248C22×C3×C4—122no—
249C22×C3×C4C22×D312yes—
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C22×D311yescharacteristic
253C22×C3×C4C22×D312yes—
254C22×C3×C4C23×C312yes—
255C22×C3×C4C23×C311yescharacteristic
256C22×C3×C4C23×C311yescharacteristic
257C22×C3×C4C23×C311yescharacteristic
258C22×C3×C4C23×C312yes—
259C22×Dic3C23×C312yes—
260C22×Dic3C23×C311yescharacteristic
261C22×Dic3C23×C311yescharacteristic
262C2×D12—22no—
263C2×D12—22no—
264C2×D12—24no—
265C2×D12—24no—
266C2×D12—24no—
267C2×D12—24no—
268C2×D12—22no—
269C2×D12—24no—
270C2×D12—42no—
271C2×D12—42no—
272C2×D12C3×D414yescomplemented
273C2×C4×D3—24no—
274C2×C4×D3—24no—
275C2×C4×D3—22no—
276C2×C4×D3—42no—
277C2×C4×D3—42no—
278C2×C4×D3—42no—
279C2×C4×D3C3×D414yescomplemented
280C3×C4⋊C4—22no—
281C3×C4⋊C4—24no—
282C3×C4⋊C4—22no—
283C3×C4⋊C4—22no—
284C3×C4⋊C4—24no—
285C3×C4⋊C4—22no—
286C3×C4⋊C4—42no—
287C3×C4⋊C4—44no—
288C3×C4⋊C4—42no—
289C3×C22⋊C4—64no—
290C3×C22⋊C4—62no—
291C3×C22⋊C4—64no—
292C3×C22⋊C4—62no—
293C3×C22⋊C4—64no—
294C3×C22⋊C4—64no—
295C3×C22⋊C4—122no—
296C3×C42—62no—
297(C2×D3)⋊C4—22no—
298(C2×D3)⋊C4—24no—
299(C2×D3)⋊C4—22no—
300(C2×D3)⋊C4—24no—
301(C2×D3)⋊C4—24no—
302(C2×D3)⋊C4—24no—
303(C2×D3)⋊C4—42no—
304C4×Dic3—22no—
305C22×C32C22×D411yescharacteristic
306C22×C32C22×D411yescharacteristic
307C22×C32C2×#4112yes—
308C22×C32C2×#4111yescharacteristic
309C22×C32H(5,𝔽2)12yes—
310C2×C3×D3—22no—
311C2×C3×D3—22no—
312C2×C3×D3—24no—
313C2×C3×D3—24no—
314C2×C3×D3—22no—
315C2×C3×D3—24no—
316C2×C3×D3—41no—
317C2×C3×D3—41no—
318C2×C3×D3—42no—
319C2×C3×D3—42no—
320C2×C3×D3—42no—
321C2×C3×D3—42no—
322C2×C3×D3—42no—
323C2×C3×D3—42no—
324C2×C3×D3—42no—
325C2×C3×D3—42no—
326C2×C3×D3#12114yes—
327C32×C4—22no—
328C32×C4—22no—
329C32×C4—24no—
330C32×C4—42no—
331C32×C4—41no—
332C3×Dic3—22no—
333C3×Dic3—41no—
334C3×Dic3—42no—
335C22×D4—31no—
336C22×D4—32no—
337C22×D4—32no—
338C22×D4—31no—
339C23×C4—31no—
340C23×C4—32no—
341C23×C4—31no—
342#121—64no—
343#121—68no—
344C4×D4—64no—
345C2×C4⋊C4C2×C3×D311yescharacteristic
346C2×C4⋊C4C2×C3×D312yes—
347C2×C4⋊C4C2×C3×D311yescharacteristic
348C2×C22⋊C4—31no—
349C2×C22⋊C4—31no—
350C2×C22⋊C4—32no—
351C2×C22⋊C4—32no—
352C2×C22⋊C4—32no—
353C2×C22⋊C4—32no—
354C2×C22⋊C4—32no—
355C2×C42—31no—
356#95—32no—
357#95—31no—
358#95—32no—
359#95C2×C3×D311yescharacteristic
360#95C2×C3×D312yes—
361C23×C3—21no—
362C23×C3—32no—
363C23×C3—32no—
364C23×C3—32no—
365C23×C3—32no—
366C23×C3—62no—
367C23×C3—62no—
368C23×C3—61no—
369C23×C3—62no—
370C23×C3—61no—
371C23×C3—62no—
372C23×C3—62no—
373C23×C3—62no—
374C23×C3—62no—
375C23×C3—62no—
376C23×C3—62no—
377C23×C3—62no—
378C23×C3—62no—
379C23×C3C23×D311yescharacteristic
380C23×C3C24×C311yescharacteristic
381C22×D3—22no—
382C22×D3—22no—
383C22×D3—21no—
384C22×D3—22no—
385C22×D3—21no—
386C22×D3—22no—
387C22×D3—22no—
388C22×D3—22no—
389C22×D3—22no—
390C22×D3—22no—
391C22×D3—22no—
392C22×D3—22no—
393C22×D3—22no—
394C22×D3C2×C3×D412yes—
395C22×D3C2×C3×D412yes—
396C22×D3C2×C3×D412yes—
397C22×D3C3×#4112yes—
398C3×D4—68no—
399C3×D4—128no—
400C3×D4—124no—
401C3×D4—128no—
402C2×C3×C4—21no—
403C2×C3×C4—22no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—21no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—21no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—21no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—32no—
426C2×C3×C4—41no—
427C2×C3×C4—42no—
428C2×C3×C4—41no—
429C2×C3×C4—42no—
430C2×C3×C4—42no—
431C2×C3×C4—41no—
432C2×C3×C4—42no—
433C2×C3×C4—42no—
434C2×C3×C4—42no—
435C2×C3×C4—42no—
436C2×C3×C4—62no—
437C2×C3×C4—61no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—62no—
442C2×C3×C4—124no—
443C2×C3×C4—128no—
444C2×C3×C4—124no—
445C2×C3×C4D3×D412yes—
446C2×C3×C4D3×D412yes—
447C2×C3×C4#23914yes—
448C2×C3×C4C2×C3×D412yes—
449C2×C3×C4C2×C3×D412yes—
450C2×C3×C4C3×#4114yes—
451C2×Dic3—22no—
452C2×Dic3—21no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3C2×C3×D412yes—
458D12—28no—
459D12—48no—
460D12—44no—
461D12—48no—
462C4×D3—44no—
463C4×D3—44no—
464C4×D3—48no—
465C2×C32C2×#12111yescharacteristic
466C2×C32#53211yescharacteristic
467C2×C32#53411yescharacteristic
468C2×C32#54612yes—
469C2×C32#55312yes—
470C3×D3—24no—
471C3×D3—42no—
472C3×D3—82no—
473C24—31no—
474C24—31no—
475C24—32no—
476C2×D4—34no—
477C2×D4—62no—
478C2×D4—62no—
479C2×D4—64no—
480C2×D4—64no—
481C2×D4—64no—
482C2×D4—64no—
483C2×D4—62no—
484C2×D4—64no—
485C2×D4—122no—
486C2×D4—122no—
487C22×C4—31no—
488C22×C4—34no—
489C22×C4—32no—
490C22×C4—31no—
491C22×C4—62no—
492C22×C4—64no—
493C22×C4—64no—
494C22×C4—122no—
495C22×C4—122no—
496C22×C4—122no—
497C22×C4C22×C3×D312yes—
498C22×C4C22×C3×D311yescharacteristic
499C22×C4C22×C3×D311yescharacteristic
500C22×C4C22×C3×D311yescharacteristic
501C22×C4C22×C3×D312yes—
502C4⋊C4—22no—
503C4⋊C4—24no—
504C4⋊C4—22no—
505C22⋊C4—64no—
506C22⋊C4—62no—
507C22⋊C4—64no—
508C22⋊C4—62no—
509C22⋊C4—64no—
510C22⋊C4—64no—
511C22⋊C4—122no—
512C42—62no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—22no—
516C22×C3—21no—
517C22×C3—22no—
518C22×C3—34no—
519C22×C3—62no—
520C22×C3—64no—
521C22×C3—62no—
522C22×C3—64no—
523C22×C3—62no—
524C22×C3—64no—
525C22×C3—121no—
526C22×C3—122no—
527C22×C3—121no—
528C22×C3—122no—
529C22×C3—122no—
530C22×C3—122no—
531C22×C3—122no—
532C22×C3—122no—
533C22×C3—122no—
534C22×C3—122no—
535C22×C3C2×D3×D411yescharacteristic
536C22×C3C2×D3×D411yescharacteristic
537C22×C3C2×#23912yes—
538C22×C3D3×#4111yescharacteristic
539C22×C3#100912yes—
540C22×C3C22×C3×D411yescharacteristic
541C22×C3C22×C3×D411yescharacteristic
542C22×C3C2×C3×#4112yes—
543C22×C3C2×C3×#4111yescharacteristic
544C22×C3C3×H(5,𝔽2)12yes—
545C2×D3—22no—
546C2×D3—22no—
547C2×D3—24no—
548C2×D3—24no—
549C2×D3—22no—
550C2×D3—24no—
551C2×D3—41no—
552C2×D3—41no—
553C2×D3—42no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—42no—
557C2×D3—42no—
558C2×D3—42no—
559C2×D3—42no—
560C2×D3—42no—
561C2×D3C3×#12114yes—
562C3×C4—22no—
563C3×C4—22no—
564C3×C4—22no—
565C3×C4—22no—
566C3×C4—24no—
567C3×C4—24no—
568C3×C4—42no—
569C3×C4—44no—
570C3×C4—42no—
571C3×C4—41no—
572C3×C4—42no—
573C3×C4—42no—
574C3×C4—41no—
575C3×C4—62no—
576C3×C4—82no—
577C3×C4—81no—
578C3×C4—121no—
579C3×C4—122no—
580Dic3—22no—
581Dic3—41no—
582Dic3—42no—
583C32#254311yescharacteristic, complemented, Sylow
584C23—32no—
585C23—32no—
586C23—32no—
587C23—32no—
588C23—62no—
589C23—62no—
590C23—61no—
591C23—62no—
592C23—61no—
593C23—62no—
594C23—62no—
595C23—62no—
596C23—62no—
597C23—62no—
598C23—62no—
599C23—62no—
600C23—62no—
601C23C23×C3×D311yescharacteristic
602D4—68no—
603D4—128no—
604D4—124no—
605D4—128no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—32no—
617C2×C4—62no—
618C2×C4—61no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—124no—
624C2×C4—128no—
625C2×C4—124no—
626C2×C4C3×D3×D412yes—
627C2×C4C3×D3×D412yes—
628C2×C4C3×#23914yes—
629C2×C3—21no—
630C2×C3—22no—
631C2×C3—21no—
632C2×C3—22no—
633C2×C3—21no—
634C2×C3—64no—
635C2×C3—122no—
636C2×C3—242no—
637C2×C3D3×#12111yescharacteristic
638C2×C3#563012yes—
639C2×C3#565311yescharacteristic
640C2×C3#569512yes—
641C2×C3#572511yescharacteristic
642C2×C3C2×C3×#12111yescharacteristic
643C2×C3C3×#53211yescharacteristic
644C2×C3C3×#53411yescharacteristic
645C2×C3C3×#54612yes—
646C2×C3C3×#55312yes—
647D3—24no—
648D3—42no—
649D3—82no—
650C22—34no—
651C22—64no—
652C22—62no—
653C22—64no—
654C22—62no—
655C22—62no—
656C22—64no—
657C22—121no—
658C22—122no—
659C22—121no—
660C22—122no—
661C22—122no—
662C22—122no—
663C22—122no—
664C22—122no—
665C22—122no—
666C22—122no—
667C22C2×C3×D3×D411yescharacteristic
668C22C2×C3×D3×D411yescharacteristic
669C22C2×C3×#23912yes—
670C22C3×D3×#4111yescharacteristic
671C22C3×#100912yes—
672C4—22no—
673C4—24no—
674C4—22no—
675C4—42no—
676C4—41no—
677C4—62no—
678C4—122no—
679C4—121no—
680C3—21no—
681C3#7795711yescharacteristic, direct product factor
682C3C3×#254311yescharacteristic, complemented
683C2—64no—
684C2—122no—
685C2—242no—
686C2C3×D3×#12111yescharacteristic
687C2C3×#563012yes—
688C2C3×#565311yescharacteristic
689C2C3×#569512yes—
690C2C3×#572511yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
FittingC32×#398C2
socleC23×C32C24
hypercenterC3×#398D3
hypocenterC3C3×#2543
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#398

Complements

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

NH ≅ G/Ntype
1. C2×C3×#895C2semidirect
2. C2×C3×#895C2semidirect
3. C2×C3×#893C2semidirect
4. C32×#398C2semidirect
5. C3×#4992C2semidirect
6. C3×#4991C2semidirect
7. C3×#4990C2semidirect
8. C3×#4671C2semidirect
9. C3×#4665C2semidirect
10. C3×#4665C2semidirect
11. C3×D3×#95C2semidirect
13. #77957C3direct (N × H)
43. C2×#895C2×C3semidirect
44. C2×#895C2×C3semidirect
45. C2×#893C2×C3semidirect
47. C3×#398D3semidirect
48. C3×#398C2×C3semidirect
56. #4992C2×C3semidirect
57. #4991C2×C3semidirect
58. #4990C2×C3semidirect
59. #4671C2×C3semidirect
60. #4665C2×C3semidirect
61. #4665C2×C3semidirect
62. D3×#95C2×C3semidirect
84. C2×C3×D12D4semidirect
91. C2×C3×C4×D3D4semidirect
209. #398C3×D3semidirect
272. C2×D12C3×D4semidirect
279. C2×C4×D3C3×D4semidirect
583. C32#2543semidirect
681. C3#77957direct (N × H)
682. C3C3×#2543semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8952
C2×C3×#8932
C32×#3982
C3×#49922
C3×#49912
C3×#49902
C3×#46712
C3×#46652
C3×D3×#952
C3×#25433
#779573