Finite Group Databasebeta

← C2×#11723541 #13177297

Subgroups — C2×#11723541 #13177297

Order 1728.

4500 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×C3⋊D3C211yesmaximal, characteristic, complemented
2C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C22×#6292C211yesmaximal, characteristic, complemented
4C22×#6290C211yesmaximal, characteristic, complemented
5C2×#88859C211yesmaximal, characteristic, complemented
6C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7C2×#88803C211yesmaximal, characteristic, complemented
8#11723541C218yesmaximal, direct product factor
9C2×#64091—31nomaximal
10C2×#63922—34nomaximal
11C23×C3⋊(C3⋊D3)C2211yescharacteristic
12C23×C3×C3⋊D3C2211yescharacteristic
13C23×C3×C3⋊D3C2211yescharacteristic, complemented
14C23×C32×D3C2211yescharacteristic
15C22×D3×C3⋊D3—24no—
16C22×D3×C3⋊D3—24no—
17C22×D3×C3⋊D3—24no—
18C22×D3×C3⋊D3C2214yescomplemented
19C22×C33×C4C2211yescharacteristic, complemented
20C22×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
21C2×C3×C4⋊(C3⋊D3)—24no—
22C2×C3×C4⋊(C3⋊D3)C2214yescomplemented
23C22×C32×Dic3C2211yescharacteristic, complemented
24C2×#6292—24no—
25C2×#6292C2214yescomplemented
26C2×#6290—24no—
27C2×#6290C2214yescomplemented
28#88859C2214yescomplemented
29C32×(C2×D3)⋊C4C2214yescomplemented
30#88803C2214yescomplemented
31C24×C3⋊D3—31no—
32C23×D32—34no—
33C22×#638—31no—
34C22×C4⋊(C3⋊D3)—31no—
35C22×C4⋊(C3⋊D3)D311yescharacteristic, complemented
36C22×C3×D12—34no—
37C22×#626—34no—
38C22×#625—34no—
39C2×C32×C22⋊C4—31no—
40C2×#3752—31no—
41C2×#3752—34no—
42C2×#3752—31no—
43C2×#3752—64no—
44#64091—38no—
45C2×C3×(C2×D3)⋊C4D314yescomplemented
46C2×(C2×D3)⋊Dic3—34no—
47#63922—332no—
48C23×C33C2311yescharacteristic
49C22×C3⋊(C3⋊D3)—22no—
50C22×C3⋊(C3⋊D3)—22no—
51C22×C3⋊(C3⋊D3)D414yescomplemented
52C22×C3⋊(C3⋊D3)C2312yes—
53C22×C3×C3⋊D3—22no—
54C22×C3×C3⋊D3—22no—
55C22×C3×C3⋊D3—22no—
56C22×C3×C3⋊D3—22no—
57C22×C3×C3⋊D3—22no—
58C22×C3×C3⋊D3D414yescomplemented
59C22×C3×C3⋊D3C2312yes—
60C22×C3×C3⋊D3C2312yescomplemented
61C22×C32×D3—22no—
62C22×C32×D3—22no—
63C22×C32×D3D414yescomplemented
64C22×C32×D3C2312yes—
65C2×D3×C3⋊D3—232no—
66C2×D3×C3⋊D3—28no—
67C2×D3×C3⋊D3—28no—
68C2×D3×C3⋊D3—28no—
69C2×C33×C4—22no—
70C2×C33×C4C2312yescomplemented
71C2×C3⋊(C3⋊Dic3)—22no—
72C2×C3⋊(C3⋊Dic3)C2312yescomplemented
73C3×C4⋊(C3⋊D3)—28no—
74C2×C32×Dic3—22no—
75C2×C32×Dic3C2312yescomplemented
76#6292—28no—
77#6290—28no—
78C2×#937—91no—
79C2×#882—94no—
80C24×C32—31no—
81C23×C3⋊D3—31no—
82C23×C3⋊D3—34no—
83C23×C3⋊D3—34no—
84C23×C3⋊D3—64no—
85C23×C3⋊D3—64no—
86C23×C3⋊D3—64no—
87C23×C3⋊D3—64no—
88C23×C3⋊D3C2×D311yescharacteristic
89C23×C3⋊D3C2×D311yescharacteristic, complemented
90C23×C3×D3—34no—
91C23×C3×D3—34no—
92C23×C3×D3C2×D314yes—
93C22×D32—316no—
94C22×D32—616no—
95C22×D32—616no—
96C22×D32—616no—
97C22×C32×C4—24no—
98C22×C32×C4—31no—
99C22×C32×C4C2×D314yescomplemented
100C22×C32×C4C2×D311yescharacteristic, complemented
101C2×#638—34no—
102C2×#638—64no—
103C22×C3⋊Dic3—31no—
104C22×C3⋊Dic3—34no—
105C22×C3⋊Dic3—64no—
106C2×C4⋊(C3⋊D3)—24no—
107C2×C4⋊(C3⋊D3)—34no—
108C2×C4⋊(C3⋊D3)—64no—
109C2×C4⋊(C3⋊D3)C2×D314yescomplemented
110C22×C3×Dic3C2×D314yescomplemented
111C2×C3×D12—316no—
112C2×C3×D12—616no—
113C2×#626—316no—
114C2×#626—616no—
115C2×#625—316no—
116C2×#625—616no—
117C32×C22⋊C4—34no—
118#3752—34no—
119#3752—34no—
120#3752—316no—
121#3752—616no—
122C3×(C2×D3)⋊C4C2×D3116yescomplemented
123(C2×D3)⋊Dic3—316no—
124C22×C33C2×D412yes—
125C22×C33C2×D412yes—
126C22×C33C2×D412yes—
127C22×C33C2411yescharacteristic
128C2×C3⋊(C3⋊D3)—28no—
129C2×C3⋊(C3⋊D3)—22no—
130C2×C3⋊(C3⋊D3)—22no—
131C2×C3⋊(C3⋊D3)C2×D414yescomplemented
132C2×C3×C3⋊D3—28no—
133C2×C3×C3⋊D3—22no—
134C2×C3×C3⋊D3—22no—
135C2×C3×C3⋊D3—22no—
136C2×C3×C3⋊D3—22no—
137C2×C3×C3⋊D3—22no—
138C2×C3×C3⋊D3—44no—
139C2×C3×C3⋊D3C2×D414yescomplemented
140C2×C32×D3—28no—
141C2×C32×D3—22no—
142C2×C32×D3—22no—
143C2×C32×D3C2×D414yescomplemented
144D3×C3⋊D3—232no—
145C33×C4—22no—
146C3⋊(C3⋊Dic3)—22no—
147C32×Dic3—22no—
148C24×D3—94no—
149C24×D3—91no—
150C22×C3×D4—91no—
151C22×#67—94no—
152C22×#67—91no—
153C22×#67—91no—
154C22×D12—34no—
155C22×D12—94no—
156C2×C3×C22⋊C4—34no—
157C2×#217—91no—
158#937—98no—
159C2×(C2×D3)⋊C4—94no—
160C2×(C2×D3)⋊C4—94no—
161C2×(C2×D3)⋊C4—91no—
162C2×(C2×D3)⋊C4—184no—
163C2×(C2×D3)⋊C4C3⋊D311yescharacteristic, complemented
164#882—932no—
165C23×C32—24no—
166C23×C32—34no—
167C23×C32—32no—
168C23×C32—62no—
169C23×C32—62no—
170C23×C32C22×D314yes—
171C23×C32C22×D311yescharacteristic
172C22×C3⋊D3—22no—
173C22×C3⋊D3—22no—
174C22×C3⋊D3—22no—
175C22×C3⋊D3—22no—
176C22×C3⋊D3—22no—
177C22×C3⋊D3—34no—
178C22×C3⋊D3—32no—
179C22×C3⋊D3—316no—
180C22×C3⋊D3—38no—
181C22×C3⋊D3—68no—
182C22×C3⋊D3—616no—
183C22×C3⋊D3—68no—
184C22×C3⋊D3—68no—
185C22×C3⋊D3—632no—
186C22×C3⋊D3—62no—
187C22×C3⋊D3—62no—
188C22×C3⋊D3—68no—
189C22×C3⋊D3—68no—
190C22×C3⋊D3—68no—
191C22×C3⋊D3—128no—
192C22×C3⋊D3—128no—
193C22×C3⋊D3#6714yescomplemented
194C22×C3⋊D3C22×D312yes—
195C22×C3⋊D3C22×D312yescomplemented
196C22×C3×D3—28no—
197C22×C3×D3—28no—
198C22×C3×D3—316no—
199C22×C3×D3—38no—
200C22×C3×D3—38no—
201C22×C3×D3—68no—
202C22×C3×D3—68no—
203C22×C3×D3—68no—
204C22×C3×D3—68no—
205C22×C3×D3—68no—
206C22×C3×D3D12116yescomplemented
207C22×C3×D3C22×D318yes—
208C2×D32—632no—
209C2×D32—632no—
210C2×D32—6128no—
211C2×D32—632no—
212C2×C32×C4—22no—
213C2×C32×C4—28no—
214C2×C32×C4—28no—
215C2×C32×C4—32no—
216C2×C32×C4—48no—
217C2×C32×C4—62no—
218C2×C32×C4C22×D318yescomplemented
219C2×C32×C4C22×D312yescomplemented
220#638—68no—
221C2×C3⋊Dic3—32no—
222C2×C3⋊Dic3—38no—
223C2×C3⋊Dic3—68no—
224C2×C3⋊Dic3—62no—
225C2×C3⋊Dic3—68no—
226C2×C3⋊Dic3—128no—
227C4⋊(C3⋊D3)—28no—
228C4⋊(C3⋊D3)—68no—
229C2×C3×Dic3—28no—
230C2×C3×Dic3C22×D318yescomplemented
231C3×D12—632no—
232#626—632no—
233#625—632no—
234C2×#120—271noSylow
235C2×C33#12014yescomplemented
236C2×C33C22×D411yescharacteristic
237C2×C33C22×D411yescharacteristic
238C2×C33C22×D411yescharacteristic
239C3⋊(C3⋊D3)—24no—
240C3×C3⋊D3—24no—
241C3×C3⋊D3—42no—
242C32×D3—24no—
243C24×C3—34no—
244C24×C3—91no—
245C24×C3—91no—
246C23×D3—34no—
247C23×D3—34no—
248C23×D3—916no—
249C23×D3—94no—
250C23×D3—91no—
251C23×D3—94no—
252C23×D3—184no—
253C23×D3—184no—
254C23×D3—184no—
255C23×D3—1816no—
256C23×D3—1816no—
257C23×D3—1816no—
258C23×D3—184no—
259C23×D3C2×C3⋊D311yescharacteristic
260C2×C3×D4—94no—
261C2×C3×D4—184no—
262C22×C3×C4—24no—
263C22×C3×C4—34no—
264C22×C3×C4D3214yescomplemented
265C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
266C2×#67—916no—
267C2×#67—94no—
268C2×#67—94no—
269C2×#67—184no—
270C2×#67—1816no—
271C2×#67—184no—
272C22×Dic3—94no—
273C22×Dic3—91no—
274C22×Dic3—184no—
275C22×Dic3C2×C3⋊D311yescharacteristic, complemented
276C2×D12—316no—
277C2×D12—616no—
278C2×D12—916no—
279C2×D12—1816no—
280C3×C22⋊C4—316no—
281#217—94no—
282(C2×D3)⋊C4—916no—
283(C2×D3)⋊C4—916no—
284(C2×D3)⋊C4—94no—
285(C2×D3)⋊C4—1816no—
286(C2×D3)⋊C4C2×C3⋊D314yescomplemented
287C22×C32—24no—
288C22×C32—28no—
289C22×C32—28no—
290C22×C32—28no—
291C22×C32—34no—
292C22×C32—68no—
293C22×C32—62no—
294C22×C32—62no—
295C22×C32C2×D1218yes—
296C22×C32D3×D418yes—
297C22×C32D3×D418yes—
298C22×C32D3×D412yes—
299C22×C32D3×D412yes—
300C22×C32C2×#6712yes—
301C22×C32C23×D314yes—
302C22×C32C23×D311yescharacteristic
303C2×C3⋊D3—28no—
304C2×C3⋊D3—22no—
305C2×C3⋊D3—22no—
306C2×C3⋊D3—22no—
307C2×C3⋊D3—22no—
308C2×C3⋊D3—22no—
309C2×C3⋊D3—34no—
310C2×C3⋊D3—316no—
311C2×C3⋊D3—44no—
312C2×C3⋊D3—616no—
313C2×C3⋊D3—632no—
314C2×C3⋊D3—68no—
315C2×C3⋊D3—62no—
316C2×C3⋊D3—62no—
317C2×C3⋊D3—632no—
318C2×C3⋊D3—68no—
319C2×C3⋊D3—68no—
320C2×C3⋊D3—128no—
321C2×C3⋊D3—128no—
322C2×C3⋊D3—1232no—
323C2×C3⋊D3C2×#6714yescomplemented
324C2×C3×D3—232no—
325C2×C3×D3—28no—
326C2×C3×D3—28no—
327C2×C3×D3—316no—
328C2×C3×D3—632no—
329C2×C3×D3—68no—
330C2×C3×D3—68no—
331C2×C3×D3—68no—
332C2×C3×D3—68no—
333C2×C3×D3—68no—
334C2×C3×D3—1216no—
335C2×C3×D3C2×D12116yescomplemented
336D32—6128no—
337C32×C4—22no—
338C32×C4—28no—
339C32×C4—48no—
340C32×C4—62no—
341C3⋊Dic3—62no—
342C3⋊Dic3—68no—
343C3⋊Dic3—128no—
344C3×Dic3—28no—
345C25—271no—
346C22×D4—91no—
347C22×D4—271no—
348C22×D4—271no—
349#120—278no—
350C2×C22⋊C4—31no—
351C2×C22⋊C4—271no—
352C2×C22⋊C4—271no—
353C33C2×#12011yescharacteristic, complemented, Sylow
354C23×C3—24no—
355C23×C3—38no—
356C23×C3—316no—
357C23×C3—68no—
358C23×C3—68no—
359C23×C3—92no—
360C23×C3—94no—
361C23×C3—92no—
362C23×C3—182no—
363C23×C3—182no—
364C23×C3—182no—
365C23×C3—182no—
366C23×C3—182no—
367C23×C3C2×D3214yes—
368C23×C3C22×C3⋊D311yescharacteristic
369C22×D3—22no—
370C22×D3—22no—
371C22×D3—38no—
372C22×D3—316no—
373C22×D3—38no—
374C22×D3—68no—
375C22×D3—68no—
376C22×D3—68no—
377C22×D3—68no—
378C22×D3—68no—
379C22×D3—98no—
380C22×D3—92no—
381C22×D3—916no—
382C22×D3—94no—
383C22×D3—188no—
384C22×D3—1816no—
385C22×D3—188no—
386C22×D3—188no—
387C22×D3—1832no—
388C22×D3—1832no—
389C22×D3—1832no—
390C22×D3—1832no—
391C22×D3—18128no—
392C22×D3—188no—
393C22×D3—188no—
394C22×D3—182no—
395C22×D3—182no—
396C22×D3—188no—
397C22×D3—368no—
398C22×D3—368no—
399C22×D3C4⋊(C3⋊D3)14yescomplemented
400C22×D3C22×C3⋊D312yes—
401C3×D4—188no—
402C2×C3×C4—28no—
403C2×C3×C4—22no—
404C2×C3×C4—28no—
405C2×C3×C4—38no—
406C2×C3×C4—48no—
407C2×C3×C4—68no—
408C2×C3×C4C2×D3218yescomplemented
409C2×C3×C4C22×C3⋊D312yescomplemented
410#67—188no—
411#67—1832no—
412#67—188no—
413C2×Dic3—22no—
414C2×Dic3—98no—
415C2×Dic3—92no—
416C2×Dic3—188no—
417C2×Dic3—188no—
418C2×Dic3—182no—
419C2×Dic3—368no—
420C2×Dic3C22×C3⋊D312yescomplemented
421D12—632no—
422D12—1832no—
423C2×C32—24no—
424C2×C32—24no—
425C2×C32—24no—
426C2×C32—216no—
427C2×C32—64no—
428C2×C32#882116yescomplemented
429C2×C32#93714yescomplemented
430C2×C32C22×D1214yes—
431C2×C32C2×D3×D414yes—
432C2×C32C2×D3×D414yes—
433C2×C32C2×D3×D411yescharacteristic
434C2×C32C2×D3×D411yescharacteristic
435C2×C32C22×#6711yescharacteristic
436C3⋊D3—24no—
437C3⋊D3—42no—
438C3⋊D3—64no—
439C3⋊D3—616no—
440C3⋊D3—1216no—
441C3×D3—216no—
442C3×D3—616no—
443C3×D3—128no—
444C24—31no—
445C24—91no—
446C24—91no—
447C24—274no—
448C24—271no—
449C24—544no—
450C24—544no—
451C24—544no—
452C2×D4—94no—
453C2×D4—184no—
454C2×D4—274no—
455C2×D4—274no—
456C2×D4—544no—
457C2×D4—544no—
458C22×C4—31no—
459C22×C4—271no—
460C22×C4D3×C3⋊D311yescharacteristic, complemented
461C22⋊C4—34no—
462C22⋊C4—274no—
463C22⋊C4—274no—
464C22×C3—24no—
465C22×C3—28no—
466C22×C3—28no—
467C22×C3—28no—
468C22×C3—316no—
469C22×C3—68no—
470C22×C3—68no—
471C22×C3—632no—
472C22×C3—94no—
473C22×C3—188no—
474C22×C3—182no—
475C22×C3—182no—
476C22×C3—182no—
477C22×C3—182no—
478C22×C3—182no—
479C22×C3—364no—
480C22×C3D3×D1218yes—
481C22×C3#380218yes—
482C22×C3D3×#6718yes—
483C22×C3C2×C4⋊(C3⋊D3)12yes—
484C22×C3D4×C3⋊D312yes—
485C22×C3D4×C3⋊D312yes—
486C22×C3C22×D3214yes—
487C22×C3C23×C3⋊D311yescharacteristic
488C2×D3—28no—
489C2×D3—22no—
490C2×D3—22no—
491C2×D3—316no—
492C2×D3—68no—
493C2×D3—68no—
494C2×D3—632no—
495C2×D3—68no—
496C2×D3—68no—
497C2×D3—68no—
498C2×D3—916no—
499C2×D3—94no—
500C2×D3—1216no—
501C2×D3—1816no—
502C2×D3—1832no—
503C2×D3—18128no—
504C2×D3—188no—
505C2×D3—188no—
506C2×D3—188no—
507C2×D3—182no—
508C2×D3—182no—
509C2×D3—1832no—
510C2×D3—3632no—
511C2×D3—368no—
512C2×D3—368no—
513C2×D3C2×C4⋊(C3⋊D3)14yescomplemented
514C3×C4—28no—
515C3×C4—22no—
516C3×C4—48no—
517C3×C4—68no—
518Dic3—22no—
519Dic3—188no—
520Dic3—182no—
521Dic3—368no—
522C32—24no—
523C32C2×#88214yescomplemented
524C32C2×#93711yescharacteristic, complemented
525C23—32no—
526C23—34no—
527C23—62no—
528C23—62no—
529C23—92no—
530C23—94no—
531C23—92no—
532C23—182no—
533C23—182no—
534C23—182no—
535C23—182no—
536C23—182no—
537C23—272no—
538C23—274no—
539C23—548no—
540C23—548no—
541C23—548no—
542C23—5432no—
543C23—542no—
544C23—542no—
545C23C2×D3×C3⋊D311yescharacteristic
546D4—188no—
547D4—548no—
548D4—548no—
549C2×C4—22no—
550C2×C4—32no—
551C2×C4—62no—
552C2×C4—272no—
553C2×C4—542no—
554C2×C4C2×D3×C3⋊D312yescomplemented
555C2×C3—216no—
556C2×C3—24no—
557C2×C3—24no—
558C2×C3—24no—
559C2×C3—616no—
560C2×C3—184no—
561C2×C3—362no—
562C2×C3#63922116yescomplemented
563C2×C3#6409114yescomplemented
564C2×C3C2×D3×D1214yes—
565C2×C3C2×#380214yes—
566C2×C3C2×D3×#6714yes—
567C2×C3C22×C4⋊(C3⋊D3)11yescharacteristic
568C2×C3C2×D4×C3⋊D311yescharacteristic
569C2×C3C2×D4×C3⋊D311yescharacteristic
570D3—24no—
571D3—616no—
572D3—128no—
573D3—184no—
574D3—1816no—
575D3—3616no—
576C22—34no—
577C22—68no—
578C22—62no—
579C22—62no—
580C22—94no—
581C22—188no—
582C22—182no—
583C22—182no—
584C22—182no—
585C22—182no—
586C22—182no—
587C22—274no—
588C22—364no—
589C22—5432no—
590C22—548no—
591C22—542no—
592C22—542no—
593C22D3×C4⋊(C3⋊D3)12yes—
594C22#8902612yes—
595C22C3⋊D3×#6712yes—
596C22C22×D3×C3⋊D311yescharacteristic
597C4—22no—
598C4—62no—
599C4—542no—
600C3—24no—
601C3C2×#6392214yescomplemented
602C3C2×#6409111yescharacteristic, complemented
603C2—64no—
604C2—184no—
605C2—362no—
606C2—544no—
607C2#1172354114yesdirect product factor
608C2C2×D3×C4⋊(C3⋊D3)11yescharacteristic
609C2C2×#8902611yescharacteristic
610C2C2×C3⋊D3×#6711yescharacteristic
subgroupG/H
centerC23C2×D3×C3⋊D3
commutator, cosocleC22×C33C24
FrattiniC22C22×D3×C3⋊D3
FittingC22×C33×C4C22
socleC23×C33C23
hypercenterC22×C4D3×C3⋊D3
hypocenterC33C2×#120
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C23 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C23×D3×C3⋊D3C2semidirect
2. C22×C3×C4⋊(C3⋊D3)C2semidirect
3. C22×#6292C2semidirect
4. C22×#6290C2semidirect
5. C2×#88859C2semidirect
6. C2×C32×(C2×D3)⋊C4C2semidirect
7. C2×#88803C2semidirect
8. #11723541C2direct (N × H)
13. C23×C3×C3⋊D3C22semidirect
18. C22×D3×C3⋊D3C22semidirect
19. C22×C33×C4C22semidirect
20. C22×C3⋊(C3⋊Dic3)C22semidirect
22. C2×C3×C4⋊(C3⋊D3)C22semidirect
23. C22×C32×Dic3C22semidirect
25. C2×#6292C22semidirect
27. C2×#6290C22semidirect
28. #88859C22semidirect
29. C32×(C2×D3)⋊C4C22semidirect
30. #88803C22semidirect
35. C22×C4⋊(C3⋊D3)D3semidirect
45. C2×C3×(C2×D3)⋊C4D3semidirect
51. C22×C3⋊(C3⋊D3)D4semidirect
58. C22×C3×C3⋊D3D4semidirect
60. C22×C3×C3⋊D3C23semidirect
63. C22×C32×D3D4semidirect
70. C2×C33×C4C23semidirect
72. C2×C3⋊(C3⋊Dic3)C23semidirect
75. C2×C32×Dic3C23semidirect
89. C23×C3⋊D3C2×D3semidirect
99. C22×C32×C4C2×D3semidirect
100. C22×C32×C4C2×D3semidirect
109. C2×C4⋊(C3⋊D3)C2×D3semidirect
110. C22×C3×Dic3C2×D3semidirect
122. C3×(C2×D3)⋊C4C2×D3semidirect
131. C2×C3⋊(C3⋊D3)C2×D4semidirect
139. C2×C3×C3⋊D3C2×D4semidirect
143. C2×C32×D3C2×D4semidirect
163. C2×(C2×D3)⋊C4C3⋊D3semidirect
193. C22×C3⋊D3#67semidirect
195. C22×C3⋊D3C22×D3semidirect
206. C22×C3×D3D12semidirect
218. C2×C32×C4C22×D3semidirect
219. C2×C32×C4C22×D3semidirect
230. C2×C3×Dic3C22×D3semidirect
235. C2×C33#120semidirect
264. C22×C3×C4D32semidirect
265. C22×C3×C4C2×C3⋊D3semidirect
275. C22×Dic3C2×C3⋊D3semidirect
286. (C2×D3)⋊C4C2×C3⋊D3semidirect
323. C2×C3⋊D3C2×#67semidirect
335. C2×C3×D3C2×D12semidirect
353. C33C2×#120semidirect
399. C22×D3C4⋊(C3⋊D3)semidirect
408. C2×C3×C4C2×D32semidirect
409. C2×C3×C4C22×C3⋊D3semidirect
420. C2×Dic3C22×C3⋊D3semidirect
428. C2×C32#882semidirect
429. C2×C32#937semidirect
460. C22×C4D3×C3⋊D3semidirect
513. C2×D3C2×C4⋊(C3⋊D3)semidirect
523. C32C2×#882semidirect
524. C32C2×#937semidirect
554. C2×C4C2×D3×C3⋊D3semidirect
562. C2×C3#63922semidirect
563. C2×C3#64091semidirect
601. C3C2×#63922semidirect
602. C3C2×#64091semidirect
607. C2#11723541direct (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×C3×C4⋊(C3⋊D3)2
C22×#62922
C22×#62902
C2×#888592
C2×C32×(C2×D3)⋊C42
C2×#888032
#117235412
C2×#640913
C2×#639223