Finite Group Databasebeta

← C2×#11723539 #13177290

Subgroups — C2×#11723539 #13177290

Order 1728.

4988 conjugacy classes of subgroups.

The subgroup lattice has 568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×C3⋊D3C211yesmaximal, characteristic
2C22×C4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C22×#6289C211yesmaximal, characteristic, complemented
4C2×C3×#3752C211yesmaximal, characteristic, complemented
5C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C2×#88803C211yesmaximal, characteristic, complemented
7C2×(C2×D3)⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
8#11723539C218yesmaximal, direct product factor
9C2×C22⋊C4×C3⋊D3—31nomaximal
10C2×#63921—34nomaximal
11C23×C3⋊(C3⋊D3)C2211yescharacteristic
12C23×C3×C3⋊D3C2211yescharacteristic
13C23×C32×D3C2211yescharacteristic
14C22×D3×C3⋊D3—24no—
15C22×D3×C3⋊D3—24no—
16C22×D3×C3⋊D3C418yescomplemented
17C22×D3×C3⋊D3C2214yes—
18C22×C33×C4C2211yescharacteristic, complemented
19C22×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
20C2×C4×C3⋊(C3⋊D3)—24no—
21C2×C4×C3⋊(C3⋊D3)C2214yescomplemented
22C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
23C22×C32×Dic3C2211yescharacteristic, complemented
24C2×#6289—24no—
25C2×#6289C2214yescomplemented
26C3×#3752C2214yescomplemented
27C32×(C2×D3)⋊C4C2214yescomplemented
28#88803C2214yescomplemented
29(C2×D3)⋊(C3⋊Dic3)C2214yescomplemented
30C24×C3⋊D3—31no—
31C23×D32—34no—
32C22×C4×C3⋊D3—31no—
33C22×C4×C3⋊D3—31no—
34C22×C4×C3⋊D3—34no—
35C22×C4×C3⋊D3—64no—
36C22×#624—34no—
37C2×C32×C22⋊C4—31no—
38C2×#3757—31no—
39C2×#3752—31no—
40C2×#3752D311yescharacteristic, complemented
41C22⋊C4×C3⋊D3—38no—
42C2×C3×(C2×D3)⋊C4—34no—
43C2×C3×(C2×D3)⋊C4D314yescomplemented
44C2×(C2×D3)⋊Dic3—34no—
45C2×(C2×D3)⋊Dic3—34no—
46#63921—332no—
47C23×C33C2311yescharacteristic
48C22×C3⋊(C3⋊D3)C2×C414yes—
49C22×C3⋊(C3⋊D3)D414yes—
50C22×C3⋊(C3⋊D3)D414yes—
51C22×C3⋊(C3⋊D3)C2312yes—
52C22×C3×C3⋊D3—22no—
53C22×C3×C3⋊D3—22no—
54C22×C3×C3⋊D3C2×C414yescomplemented
55C22×C3×C3⋊D3C2312yes—
56C22×C32×D3—22no—
57C22×C32×D3—22no—
58C22×C32×D3C2×C414yescomplemented
59C22×C32×D3C2312yes—
60C2×D3×C3⋊D3—232no—
61C2×D3×C3⋊D3—28no—
62C2×D3×C3⋊D3—28no—
63C2×D3×C3⋊D3C2×C4116yescomplemented
64C2×C33×C4—22no—
65C2×C33×C4C2312yescomplemented
66C2×C3⋊(C3⋊Dic3)—22no—
67C2×C3⋊(C3⋊Dic3)C2312yescomplemented
68C4×C3⋊(C3⋊D3)—28no—
69C2×C3×C3⋊Dic3—22no—
70C2×C3×C3⋊Dic3C2312yescomplemented
71C2×C32×Dic3—22no—
72C2×C32×Dic3C2312yescomplemented
73#6289—28no—
74C2×D3×C22⋊C4—94no—
75C2×D3×C22⋊C4—91no—
76C24×C32—31no—
77C23×C3⋊D3—31no—
78C23×C3⋊D3—34no—
79C23×C3⋊D3—38no—
80C23×C3⋊D3—34no—
81C23×C3⋊D3—64no—
82C23×C3⋊D3—64no—
83C23×C3⋊D3—64no—
84C23×C3⋊D3C2×D311yescharacteristic
85C23×C3×D3—34no—
86C23×C3×D3C2×D314yes—
87C22×D32—332no—
88C22×D32—316no—
89C22×D32—616no—
90C22×D32—616no—
91C22×C32×C4—24no—
92C22×C32×C4—31no—
93C22×C32×C4C2×D314yescomplemented
94C22×C32×C4C2×D311yescharacteristic, complemented
95C22×C3⋊Dic3—31no—
96C22×C3⋊Dic3—34no—
97C22×C3⋊Dic3—64no—
98C22×C3⋊Dic3C2×D311yescharacteristic, complemented
99C2×C4×C3⋊D3—34no—
100C2×C4×C3⋊D3—316no—
101C2×C4×C3⋊D3—34no—
102C2×C4×C3⋊D3—64no—
103C2×C4×C3⋊D3—64no—
104C2×C4×C3⋊D3—616no—
105C2×C4×C3⋊D3—616no—
106C2×C4×C3⋊D3—632no—
107C22×C3×Dic3—34no—
108C22×C3×Dic3C2×D314yescomplemented
109C2×#624—316no—
110C2×#624—616no—
111C32×C22⋊C4—34no—
112#3757—34no—
113#3752—34no—
114#3752C2×D314yescomplemented
115C3×(C2×D3)⋊C4—316no—
116C3×(C2×D3)⋊C4C2×D3116yescomplemented
117(C2×D3)⋊Dic3—316no—
118(C2×D3)⋊Dic3—316no—
119C22×C33C22×C412yes—
120C22×C33C2×D412yes—
121C22×C33C2×D412yes—
122C22×C33C2411yescharacteristic
123C2×C3⋊(C3⋊D3)C22⋊C4116yescomplemented
124C2×C3⋊(C3⋊D3)C22×C414yes—
125C2×C3⋊(C3⋊D3)C2×D414yes—
126C2×C3⋊(C3⋊D3)C2×D414yes—
127C2×C3×C3⋊D3—28no—
128C2×C3×C3⋊D3—22no—
129C2×C3×C3⋊D3—22no—
130C2×C3×C3⋊D3C22×C414yescomplemented
131C2×C32×D3—28no—
132C2×C32×D3—22no—
133C2×C32×D3—22no—
134C2×C32×D3C22×C414yescomplemented
135D3×C3⋊D3—232no—
136C33×C4—22no—
137C3⋊(C3⋊Dic3)—22no—
138C3×C3⋊Dic3—22no—
139C32×Dic3—22no—
140C24×D3—94no—
141C24×D3—91no—
142C22×C4×D3—94no—
143C22×C4×D3—94no—
144C22×C4×D3—91no—
145C22×C4×D3—91no—
146C22×C4×D3—184no—
147C2×C3×C22⋊C4—34no—
148C2×C3×C22⋊C4—91no—
149C2×#217—94no—
150C2×#217—91no—
151C2×(C2×D3)⋊C4—34no—
152C2×(C2×D3)⋊C4—94no—
153C2×(C2×D3)⋊C4—91no—
154C2×(C2×D3)⋊C4C3⋊D311yescharacteristic, complemented
155D3×C22⋊C4—932no—
156D3×C22⋊C4—98no—
157C23×C32—24no—
158C23×C32—34no—
159C23×C32—32no—
160C23×C32—62no—
161C23×C32—62no—
162C23×C32C22×D314yes—
163C23×C32C22×D311yescharacteristic
164C22×C3⋊D3—22no—
165C22×C3⋊D3—22no—
166C22×C3⋊D3—34no—
167C22×C3⋊D3—34no—
168C22×C3⋊D3—34no—
169C22×C3⋊D3—32no—
170C22×C3⋊D3—316no—
171C22×C3⋊D3—316no—
172C22×C3⋊D3—316no—
173C22×C3⋊D3—316no—
174C22×C3⋊D3—38no—
175C22×C3⋊D3—616no—
176C22×C3⋊D3—616no—
177C22×C3⋊D3—616no—
178C22×C3⋊D3—68no—
179C22×C3⋊D3—632no—
180C22×C3⋊D3—68no—
181C22×C3⋊D3—68no—
182C22×C3⋊D3C4×D314yescomplemented
183C22×C3⋊D3C22×D312yes—
184C22×C3×D3—28no—
185C22×C3×D3—28no—
186C22×C3×D3—316no—
187C22×C3×D3—38no—
188C22×C3×D3—68no—
189C22×C3×D3—68no—
190C22×C3×D3C4×D3116yescomplemented
191C22×C3×D3C22×D318yes—
192C2×D32—364no—
193C2×D32—6128no—
194C2×D32—632no—
195C2×D32—632no—
196C2×C32×C4—216no—
197C2×C32×C4—28no—
198C2×C32×C4—22no—
199C2×C32×C4—28no—
200C2×C32×C4—32no—
201C2×C32×C4—62no—
202C2×C32×C4C22×D318yescomplemented
203C2×C32×C4C22×D312yescomplemented
204C2×C3⋊Dic3—22no—
205C2×C3⋊Dic3—32no—
206C2×C3⋊Dic3—38no—
207C2×C3⋊Dic3—68no—
208C2×C3⋊Dic3—616no—
209C2×C3⋊Dic3—68no—
210C2×C3⋊Dic3—62no—
211C2×C3⋊Dic3C22×D312yescomplemented
212C4×C3⋊D3—68no—
213C4×C3⋊D3—68no—
214C4×C3⋊D3—632no—
215C4×C3⋊D3—664no—
216C2×C3×Dic3—28no—
217C2×C3×Dic3—38no—
218C2×C3×Dic3—68no—
219C2×C3×Dic3C22×D318yescomplemented
220#624—632no—
221C22×C22⋊C4—271noSylow
222C2×C33C2×C22⋊C414yescomplemented
223C2×C33C23×C411yescharacteristic
224C2×C33C22×D411yescharacteristic
225C2×C33C22×D411yescharacteristic
226C3⋊(C3⋊D3)C2×C22⋊C418yescomplemented
227C3×C3⋊D3—24no—
228C32×D3—24no—
229C24×C3—34no—
230C24×C3—91no—
231C23×D3—34no—
232C23×D3—916no—
233C23×D3—932no—
234C23×D3—94no—
235C23×D3—91no—
236C23×D3—98no—
237C23×D3—94no—
238C23×D3—184no—
239C23×D3—184no—
240C23×D3—184no—
241C23×D3—1816no—
242C23×D3—1816no—
243C23×D3C2×C3⋊D311yescharacteristic
244C22×C3×C4—24no—
245C22×C3×C4—34no—
246C22×C3×C4—91no—
247C22×C3×C4D3214yescomplemented
248C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
249C22×Dic3—34no—
250C22×Dic3—94no—
251C22×Dic3—91no—
252C22×Dic3—184no—
253C22×Dic3C2×C3⋊D311yescharacteristic, complemented
254C2×C4×D3—916no—
255C2×C4×D3—916no—
256C2×C4×D3—94no—
257C2×C4×D3—94no—
258C2×C4×D3—1816no—
259C2×C4×D3—184no—
260C2×C4×D3—1816no—
261C2×C4×D3—1816no—
262C2×C4×D3—184no—
263C2×C4×D3—1832no—
264C3×C22⋊C4—316no—
265C3×C22⋊C4—94no—
266#217—916no—
267#217—94no—
268(C2×D3)⋊C4—316no—
269(C2×D3)⋊C4—916no—
270(C2×D3)⋊C4—94no—
271(C2×D3)⋊C4C2×C3⋊D314yescomplemented
272C22×C32—24no—
273C22×C32—28no—
274C22×C32—28no—
275C22×C32—28no—
276C22×C32—34no—
277C22×C32—68no—
278C22×C32—62no—
279C22×C32—62no—
280C22×C32C2×C4×D318yes—
281C22×C32C2×C4×D312yes—
282C22×C32D3×D418yes—
283C22×C32D3×D418yes—
284C22×C32D3×D412yes—
285C22×C32D3×D412yes—
286C22×C32C23×D314yes—
287C22×C32C23×D311yescharacteristic
288C2×C3⋊D3—28no—
289C2×C3⋊D3—22no—
290C2×C3⋊D3—22no—
291C2×C3⋊D3—316no—
292C2×C3⋊D3—34no—
293C2×C3⋊D3—34no—
294C2×C3⋊D3—34no—
295C2×C3⋊D3—364no—
296C2×C3⋊D3—316no—
297C2×C3⋊D3—316no—
298C2×C3⋊D3—316no—
299C2×C3⋊D3—664no—
300C2×C3⋊D3—616no—
301C2×C3⋊D3—616no—
302C2×C3⋊D3—616no—
303C2×C3⋊D3—632no—
304C2×C3⋊D3C2×C4×D314yescomplemented
305C2×C3×D3—232no—
306C2×C3×D3—28no—
307C2×C3×D3—28no—
308C2×C3×D3—316no—
309C2×C3×D3—632no—
310C2×C3×D3—68no—
311C2×C3×D3—68no—
312C2×C3×D3C2×C4×D3116yescomplemented
313D32—6128no—
314C32×C4—216no—
315C32×C4—28no—
316C32×C4—22no—
317C32×C4—62no—
318C3⋊Dic3—22no—
319C3⋊Dic3—616no—
320C3⋊Dic3—68no—
321C3⋊Dic3—62no—
322C3×Dic3—28no—
323C3×Dic3—68no—
324C25—271no—
325C23×C4—271no—
326C23×C4—271no—
327C2×C22⋊C4—31no—
328C2×C22⋊C4—91no—
329C2×C22⋊C4—278no—
330C2×C22⋊C4—271no—
331C2×C22⋊C4—271no—
332C33C22×C22⋊C411yescharacteristic, complemented, Sylow
333C23×C3—24no—
334C23×C3—38no—
335C23×C3—316no—
336C23×C3—68no—
337C23×C3—68no—
338C23×C3—92no—
339C23×C3—94no—
340C23×C3—182no—
341C23×C3—182no—
342C23×C3C2×D3214yes—
343C23×C3C22×C3⋊D311yescharacteristic
344C22×D3—22no—
345C22×D3—22no—
346C22×D3—38no—
347C22×D3—316no—
348C22×D3—68no—
349C22×D3—68no—
350C22×D3—964no—
351C22×D3—98no—
352C22×D3—92no—
353C22×D3—916no—
354C22×D3—916no—
355C22×D3—916no—
356C22×D3—94no—
357C22×D3—94no—
358C22×D3—94no—
359C22×D3—916no—
360C22×D3—188no—
361C22×D3—1816no—
362C22×D3—1816no—
363C22×D3—1816no—
364C22×D3—1832no—
365C22×D3—188no—
366C22×D3—188no—
367C22×D3—1832no—
368C22×D3—1832no—
369C22×D3—18128no—
370C22×D3C4×C3⋊D314yescomplemented
371C22×D3C22×C3⋊D312yes—
372C2×C3×C4—216no—
373C2×C3×C4—28no—
374C2×C3×C4—22no—
375C2×C3×C4—28no—
376C2×C3×C4—38no—
377C2×C3×C4—68no—
378C2×C3×C4—92no—
379C2×C3×C4—182no—
380C2×C3×C4C2×D3218yescomplemented
381C2×C3×C4C22×C3⋊D312yescomplemented
382C2×Dic3—22no—
383C2×Dic3—38no—
384C2×Dic3—68no—
385C2×Dic3—98no—
386C2×Dic3—92no—
387C2×Dic3—188no—
388C2×Dic3—1816no—
389C2×Dic3—188no—
390C2×Dic3—182no—
391C2×Dic3C22×C3⋊D312yescomplemented
392C4×D3—188no—
393C4×D3—1832no—
394C4×D3—1832no—
395C4×D3—188no—
396C4×D3—1864no—
397C2×C32—24no—
398C2×C32—24no—
399C2×C32—24no—
400C2×C32—216no—
401C2×C32—64no—
402C2×C32D3×C22⋊C4116yescomplemented
403C2×C32D3×C22⋊C414yescomplemented
404C2×C32C22×C4×D314yes—
405C2×C32C22×C4×D311yescharacteristic
406C2×C32C2×D3×D414yes—
407C2×C32C2×D3×D414yes—
408C2×C32C2×D3×D411yescharacteristic
409C2×C32C2×D3×D411yescharacteristic
410C3⋊D3—24no—
411C3⋊D3—38no—
412C3⋊D3—332no—
413C3⋊D3—632no—
414C3×D3—216no—
415C3×D3—616no—
416C24—31no—
417C24—91no—
418C24—274no—
419C24—278no—
420C24—271no—
421C24—544no—
422C24—544no—
423C22×C4—31no—
424C22×C4—91no—
425C22×C4—274no—
426C22×C4—271no—
427C22×C4—274no—
428C22×C4—544no—
429C22×C4—544no—
430C22×C4D3×C3⋊D311yescharacteristic, complemented
431C22⋊C4—34no—
432C22⋊C4—94no—
433C22⋊C4—274no—
434C22⋊C4—274no—
435C22×C3—24no—
436C22×C3—28no—
437C22×C3—28no—
438C22×C3—28no—
439C22×C3—316no—
440C22×C3—68no—
441C22×C3—68no—
442C22×C3—632no—
443C22×C3—94no—
444C22×C3—188no—
445C22×C3—182no—
446C22×C3—182no—
447C22×C3C4×D3218yes—
448C22×C3#380218yes—
449C22×C3#381118yes—
450C22×C3C2×C4×C3⋊D312yes—
451C22×C3D4×C3⋊D312yes—
452C22×C3D4×C3⋊D312yes—
453C22×C3C22×D3214yes—
454C22×C3C23×C3⋊D311yescharacteristic
455C2×D3—28no—
456C2×D3—22no—
457C2×D3—22no—
458C2×D3—316no—
459C2×D3—68no—
460C2×D3—68no—
461C2×D3—632no—
462C2×D3—916no—
463C2×D3—916no—
464C2×D3—916no—
465C2×D3—916no—
466C2×D3—94no—
467C2×D3—94no—
468C2×D3—94no—
469C2×D3—964no—
470C2×D3—1816no—
471C2×D3—1864no—
472C2×D3—1816no—
473C2×D3—1816no—
474C2×D3—1832no—
475C2×D3—18128no—
476C2×D3C2×C4×C3⋊D314yescomplemented
477C3×C4—216no—
478C3×C4—28no—
479C3×C4—22no—
480C3×C4—68no—
481C3×C4—182no—
482Dic3—22no—
483Dic3—68no—
484Dic3—1816no—
485Dic3—188no—
486Dic3—182no—
487C32—24no—
488C32C2×D3×C22⋊C414yescomplemented
489C32C2×D3×C22⋊C411yescharacteristic, complemented
490C23—32no—
491C23—34no—
492C23—62no—
493C23—62no—
494C23—92no—
495C23—94no—
496C23—182no—
497C23—182no—
498C23—2716no—
499C23—272no—
500C23—274no—
501C23—274no—
502C23—274no—
503C23—5432no—
504C23—548no—
505C23—548no—
506C23C2×D3×C3⋊D311yescharacteristic
507C2×C4—22no—
508C2×C4—32no—
509C2×C4—62no—
510C2×C4—92no—
511C2×C4—182no—
512C2×C4—272no—
513C2×C4—548no—
514C2×C4—548no—
515C2×C4—542no—
516C2×C4C2×D3×C3⋊D312yescomplemented
517C2×C3—216no—
518C2×C3—24no—
519C2×C3—24no—
520C2×C3—24no—
521C2×C3—616no—
522C2×C3—184no—
523C2×C3#63921116yescomplemented
524C2×C3C22⋊C4×C3⋊D314yescomplemented
525C2×C3C2×C4×D3214yes—
526C2×C3C2×#380214yes—
527C2×C3C2×#381114yes—
528C2×C3C22×C4×C3⋊D311yescharacteristic
529C2×C3C2×D4×C3⋊D311yescharacteristic
530C2×C3C2×D4×C3⋊D311yescharacteristic
531D3—24no—
532D3—616no—
533D3—98no—
534D3—932no—
535D3—1832no—
536C22—34no—
537C22—68no—
538C22—62no—
539C22—62no—
540C22—94no—
541C22—188no—
542C22—182no—
543C22—182no—
544C22—2716no—
545C22—274no—
546C22—274no—
547C22—274no—
548C22—5432no—
549C22C4×D3×C3⋊D312yes—
550C22#8902612yes—
551C22#8903912yes—
552C22C22×D3×C3⋊D311yescharacteristic
553C4—22no—
554C4—62no—
555C4—182no—
556C4—542no—
557C3—24no—
558C3C2×#6392114yescomplemented
559C3C2×C22⋊C4×C3⋊D311yescharacteristic, complemented
560C2—64no—
561C2—184no—
562C2—278no—
563C2#1172353914yesdirect product factor
564C2C2×C4×D3×C3⋊D311yescharacteristic
565C2C2×#8902611yescharacteristic
566C2C2×#8903911yescharacteristic
subgroupG/H
centerC23C2×D3×C3⋊D3
commutatorC2×C33C23×C4
FrattiniC22C22×D3×C3⋊D3
FittingC22×C33×C4C22
socleC23×C33C23
prime radicalC23×D3×C3⋊D3C2
cosocleC22×C33C24
hypercenterC22×C4D3×C3⋊D3
hypocenterC33C22×C22⋊C4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C23 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×C3⋊(C3⋊D3)C2semidirect
3. C22×#6289C2semidirect
4. C2×C3×#3752C2semidirect
5. C2×C32×(C2×D3)⋊C4C2semidirect
6. C2×#88803C2semidirect
7. C2×(C2×D3)⋊(C3⋊Dic3)C2semidirect
8. #11723539C2direct (N × H)
16. C22×D3×C3⋊D3C4semidirect
18. C22×C33×C4C22semidirect
19. C22×C3⋊(C3⋊Dic3)C22semidirect
21. C2×C4×C3⋊(C3⋊D3)C22semidirect
22. C22×C3×C3⋊Dic3C22semidirect
23. C22×C32×Dic3C22semidirect
25. C2×#6289C22semidirect
26. C3×#3752C22semidirect
27. C32×(C2×D3)⋊C4C22semidirect
28. #88803C22semidirect
29. (C2×D3)⋊(C3⋊Dic3)C22semidirect
40. C2×#3752D3semidirect
43. C2×C3×(C2×D3)⋊C4D3semidirect
54. C22×C3×C3⋊D3C2×C4semidirect
58. C22×C32×D3C2×C4semidirect
63. C2×D3×C3⋊D3C2×C4semidirect
65. C2×C33×C4C23semidirect
67. C2×C3⋊(C3⋊Dic3)C23semidirect
70. C2×C3×C3⋊Dic3C23semidirect
72. C2×C32×Dic3C23semidirect
93. C22×C32×C4C2×D3semidirect
94. C22×C32×C4C2×D3semidirect
98. C22×C3⋊Dic3C2×D3semidirect
108. C22×C3×Dic3C2×D3semidirect
114. #3752C2×D3semidirect
116. C3×(C2×D3)⋊C4C2×D3semidirect
123. C2×C3⋊(C3⋊D3)C22⋊C4semidirect
130. C2×C3×C3⋊D3C22×C4semidirect
134. C2×C32×D3C22×C4semidirect
154. C2×(C2×D3)⋊C4C3⋊D3semidirect
182. C22×C3⋊D3C4×D3semidirect
190. C22×C3×D3C4×D3semidirect
202. C2×C32×C4C22×D3semidirect
203. C2×C32×C4C22×D3semidirect
211. C2×C3⋊Dic3C22×D3semidirect
219. C2×C3×Dic3C22×D3semidirect
222. C2×C33C2×C22⋊C4semidirect
226. C3⋊(C3⋊D3)C2×C22⋊C4semidirect
247. C22×C3×C4D32semidirect
248. C22×C3×C4C2×C3⋊D3semidirect
253. C22×Dic3C2×C3⋊D3semidirect
271. (C2×D3)⋊C4C2×C3⋊D3semidirect
304. C2×C3⋊D3C2×C4×D3semidirect
312. C2×C3×D3C2×C4×D3semidirect
332. C33C22×C22⋊C4semidirect
370. C22×D3C4×C3⋊D3semidirect
380. C2×C3×C4C2×D32semidirect
381. C2×C3×C4C22×C3⋊D3semidirect
391. C2×Dic3C22×C3⋊D3semidirect
402. C2×C32D3×C22⋊C4semidirect
403. C2×C32D3×C22⋊C4semidirect
430. C22×C4D3×C3⋊D3semidirect
476. C2×D3C2×C4×C3⋊D3semidirect
488. C32C2×D3×C22⋊C4semidirect
489. C32C2×D3×C22⋊C4semidirect
516. C2×C4C2×D3×C3⋊D3semidirect
523. C2×C3#63921semidirect
524. C2×C3C22⋊C4×C3⋊D3semidirect
558. C3C2×#63921semidirect
559. C3C2×C22⋊C4×C3⋊D3semidirect
563. C2#11723539direct (N × H)

Maximal subgroups

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

subgroupindex
C23×D3×C3⋊D32
C22×C4×C3⋊(C3⋊D3)2
C22×#62892
C2×C3×#37522
C2×C32×(C2×D3)⋊C42
C2×#888032
C2×(C2×D3)⋊(C3⋊Dic3)2
#117235392
C2×C22⋊C4×C3⋊D33
C2×#639213