Finite Group Databasebeta

← C2×#11723542 #13177310

Subgroups — C2×#11723542 #13177310

Order 1728.

4916 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×C3⋊D3C211yesmaximal, characteristic, complemented
2C22×C4⋊(C3⋊(C3⋊D3))C211yesmaximal, characteristic, complemented
3C22×#6292C211yesmaximal, characteristic, complemented
4C22×#6291C211yesmaximal, characteristic, complemented
5C2×C3×#3752C211yesmaximal, characteristic, complemented
6C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7C2×#88804C211yesmaximal, characteristic, complemented
8#11723542C218yesmaximal, direct product factor
9C2×#64091—31nomaximal
10C2×#63923—34nomaximal
11C23×C3⋊(C3⋊D3)C2211yescharacteristic
12C23×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
13C23×C3×C3⋊D3C2211yescharacteristic
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
20C2×C4⋊(C3⋊(C3⋊D3))—24no—
21C2×C4⋊(C3⋊(C3⋊D3))C2214yescomplemented
22C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
23C22×C32×Dic3C2211yescharacteristic, complemented
24C2×#6292—24no—
25C2×#6292C2214yescomplemented
26C2×#6291—24no—
27C2×#6291C2214yescomplemented
28C3×#3752C2214yescomplemented
29C32×(C2×D3)⋊C4C2214yescomplemented
30#88804C2214yescomplemented
31C24×C3⋊D3—31no—
32C23×D32—34no—
33C22×#638—31no—
34C22×C4⋊(C3⋊D3)—31no—
35C22×C4⋊(C3⋊D3)—34no—
36C22×C4⋊(C3⋊D3)—31no—
37C22×C4⋊(C3⋊D3)—64no—
38C22×#626—34no—
39C22×#626—34no—
40C2×C32×C22⋊C4—31no—
41C2×#3752—31no—
42C2×#3752D311yescharacteristic, complemented
43#64091—38no—
44C2×C3×(C2×D3)⋊C4—34no—
45C2×C3×(C2×D3)⋊C4D314yescomplemented
46C2×#3722—34no—
47#63923—332no—
48C23×C33C2311yescharacteristic
49C22×C3⋊(C3⋊D3)—22no—
50C22×C3⋊(C3⋊D3)—22no—
51C22×C3⋊(C3⋊D3)—22no—
52C22×C3⋊(C3⋊D3)—22no—
53C22×C3⋊(C3⋊D3)—22no—
54C22×C3⋊(C3⋊D3)D414yescomplemented
55C22×C3⋊(C3⋊D3)C2312yes—
56C22×C3⋊(C3⋊D3)C2312yescomplemented
57C22×C3×C3⋊D3—22no—
58C22×C3×C3⋊D3—22no—
59C22×C3×C3⋊D3D414yescomplemented
60C22×C3×C3⋊D3C2312yes—
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
71C4⋊(C3⋊(C3⋊D3))—28no—
72C2×C3×C3⋊Dic3—22no—
73C2×C3×C3⋊Dic3C2312yescomplemented
74C2×C32×Dic3—22no—
75C2×C32×Dic3C2312yescomplemented
76#6292—28no—
77#6291—28no—
78C2×#882—94no—
79C2×#882—91no—
80C24×C32—31no—
81C23×C3⋊D3—31no—
82C23×C3⋊D3—34no—
83C23×C3⋊D3—31no—
84C23×C3⋊D3—34no—
85C23×C3⋊D3—34no—
86C23×C3⋊D3—64no—
87C23×C3⋊D3—64no—
88C23×C3⋊D3—64no—
89C23×C3⋊D3—64no—
90C23×C3⋊D3—64no—
91C23×C3⋊D3C2×D311yescharacteristic
92C23×C3×D3—34no—
93C23×C3×D3C2×D314yes—
94C22×D32—316no—
95C22×D32—616no—
96C22×D32—616no—
97C22×D32—616no—
98C22×C32×C4—24no—
99C22×C32×C4—31no—
100C22×C32×C4C2×D314yescomplemented
101C22×C32×C4C2×D311yescharacteristic, complemented
102C2×#638—34no—
103C2×#638—64no—
104C22×C3⋊Dic3C2×D311yescharacteristic, complemented
105C2×C4⋊(C3⋊D3)—34no—
106C2×C4⋊(C3⋊D3)—34no—
107C2×C4⋊(C3⋊D3)—316no—
108C2×C4⋊(C3⋊D3)—64no—
109C2×C4⋊(C3⋊D3)—616no—
110C2×C4⋊(C3⋊D3)—616no—
111C2×C4⋊(C3⋊D3)—632no—
112C2×C4⋊(C3⋊D3)—64no—
113C22×C3×Dic3—34no—
114C22×C3×Dic3C2×D314yescomplemented
115C2×#626—316no—
116C2×#626—316no—
117C2×#626—616no—
118C2×#626—616no—
119C32×C22⋊C4—34no—
120#3752—34no—
121#3752C2×D314yescomplemented
122C3×(C2×D3)⋊C4—316no—
123C3×(C2×D3)⋊C4C2×D3116yescomplemented
124#3722—316no—
125C22×C33C2×D412yes—
126C22×C33C2×D412yes—
127C22×C33C2×D412yes—
128C22×C33C2411yescharacteristic
129C2×C3⋊(C3⋊D3)—28no—
130C2×C3⋊(C3⋊D3)—22no—
131C2×C3⋊(C3⋊D3)—22no—
132C2×C3⋊(C3⋊D3)—22no—
133C2×C3⋊(C3⋊D3)—22no—
134C2×C3⋊(C3⋊D3)—22no—
135C2×C3⋊(C3⋊D3)—44no—
136C2×C3⋊(C3⋊D3)C2×D414yescomplemented
137C2×C3×C3⋊D3—28no—
138C2×C3×C3⋊D3—22no—
139C2×C3×C3⋊D3—22no—
140C2×C3×C3⋊D3C2×D414yescomplemented
141C2×C32×D3—28no—
142C2×C32×D3—22no—
143C2×C32×D3—22no—
144C2×C32×D3C2×D414yescomplemented
145D3×C3⋊D3—232no—
146C33×C4—22no—
147C3×C3⋊Dic3—22no—
148C32×Dic3—22no—
149C24×D3—94no—
150C24×D3—91no—
151C22×#67—94no—
152C22×#67—91no—
153C22×D12—94no—
154C22×D12—91no—
155C22×D12—94no—
156C22×D12—91no—
157C22×D12—184no—
158C2×C3×C22⋊C4—34no—
159C2×C3×C22⋊C4—91no—
160C2×(C2×D3)⋊C4—34no—
161C2×(C2×D3)⋊C4—94no—
162C2×(C2×D3)⋊C4—91no—
163C2×(C2×D3)⋊C4C3⋊D311yescharacteristic, complemented
164#882—932no—
165#882—98no—
166C23×C32—24no—
167C23×C32—34no—
168C23×C32—32no—
169C23×C32—62no—
170C23×C32—62no—
171C23×C32C22×D314yes—
172C23×C32C22×D311yescharacteristic
173C22×C3⋊D3—22no—
174C22×C3⋊D3—22no—
175C22×C3⋊D3—34no—
176C22×C3⋊D3—32no—
177C22×C3⋊D3—32no—
178C22×C3⋊D3—316no—
179C22×C3⋊D3—38no—
180C22×C3⋊D3—38no—
181C22×C3⋊D3—616no—
182C22×C3⋊D3—68no—
183C22×C3⋊D3—68no—
184C22×C3⋊D3—68no—
185C22×C3⋊D3—68no—
186C22×C3⋊D3—632no—
187C22×C3⋊D3—62no—
188C22×C3⋊D3—62no—
189C22×C3⋊D3—68no—
190C22×C3⋊D3—616no—
191C22×C3⋊D3—62no—
192C22×C3⋊D3—68no—
193C22×C3⋊D3—62no—
194C22×C3⋊D3—62no—
195C22×C3⋊D3—68no—
196C22×C3⋊D3—68no—
197C22×C3⋊D3—68no—
198C22×C3⋊D3—68no—
199C22×C3⋊D3—128no—
200C22×C3⋊D3—128no—
201C22×C3⋊D3—128no—
202C22×C3⋊D3—128no—
203C22×C3⋊D3D1214yescomplemented
204C22×C3⋊D3C22×D312yes—
205C22×C3×D3—28no—
206C22×C3×D3—28no—
207C22×C3×D3—316no—
208C22×C3×D3—38no—
209C22×C3×D3—68no—
210C22×C3×D3—68no—
211C22×C3×D3D12116yescomplemented
212C22×C3×D3C22×D318yes—
213C2×D32—632no—
214C2×D32—632no—
215C2×D32—6128no—
216C2×D32—632no—
217C2×C32×C4—216no—
218C2×C32×C4—28no—
219C2×C32×C4—22no—
220C2×C32×C4—28no—
221C2×C32×C4—32no—
222C2×C32×C4—62no—
223C2×C32×C4C22×D318yescomplemented
224C2×C32×C4C22×D312yescomplemented
225#638—68no—
226C2×C3⋊Dic3—22no—
227C2×C3⋊Dic3C22×D312yescomplemented
228C4⋊(C3⋊D3)—68no—
229C4⋊(C3⋊D3)—632no—
230C4⋊(C3⋊D3)—664no—
231C4⋊(C3⋊D3)—68no—
232C2×C3×Dic3—28no—
233C2×C3×Dic3—38no—
234C2×C3×Dic3—68no—
235C2×C3×Dic3C22×D318yescomplemented
236#626—632no—
237#626—632no—
238C2×#120—271noSylow
239C2×C33#12014yescomplemented
240C2×C33C22×D411yescharacteristic
241C2×C33C22×D411yescharacteristic
242C2×C33C22×D411yescharacteristic
243C3⋊(C3⋊D3)—24no—
244C3⋊(C3⋊D3)—42no—
245C3×C3⋊D3—24no—
246C32×D3—24no—
247C24×C3—34no—
248C24×C3—91no—
249C23×D3—34no—
250C23×D3—916no—
251C23×D3—94no—
252C23×D3—91no—
253C23×D3—94no—
254C23×D3—91no—
255C23×D3—94no—
256C23×D3—184no—
257C23×D3—184no—
258C23×D3—184no—
259C23×D3—184no—
260C23×D3—1816no—
261C23×D3—1816no—
262C23×D3—1816no—
263C23×D3—184no—
264C23×D3C2×C3⋊D311yescharacteristic
265C22×C3×C4—24no—
266C22×C3×C4—34no—
267C22×C3×C4—91no—
268C22×C3×C4D3214yescomplemented
269C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
270C2×#67—916no—
271C2×#67—94no—
272C2×#67—184no—
273C2×#67—1816no—
274C22×Dic3—34no—
275C22×Dic3C2×C3⋊D311yescharacteristic, complemented
276C2×D12—916no—
277C2×D12—94no—
278C2×D12—916no—
279C2×D12—94no—
280C2×D12—1816no—
281C2×D12—1816no—
282C2×D12—184no—
283C2×D12—1832no—
284C2×D12—1816no—
285C2×D12—184no—
286C3×C22⋊C4—316no—
287C3×C22⋊C4—94no—
288(C2×D3)⋊C4—316no—
289(C2×D3)⋊C4—916no—
290(C2×D3)⋊C4—94no—
291(C2×D3)⋊C4C2×C3⋊D314yescomplemented
292C22×C32—24no—
293C22×C32—28no—
294C22×C32—28no—
295C22×C32—28no—
296C22×C32—34no—
297C22×C32—68no—
298C22×C32—62no—
299C22×C32—62no—
300C22×C32C2×D1218yes—
301C22×C32C2×D1212yes—
302C22×C32D3×D418yes—
303C22×C32D3×D418yes—
304C22×C32D3×D412yes—
305C22×C32D3×D412yes—
306C22×C32C23×D314yes—
307C22×C32C23×D311yescharacteristic
308C2×C3⋊D3—28no—
309C2×C3⋊D3—22no—
310C2×C3⋊D3—22no—
311C2×C3⋊D3—34no—
312C2×C3⋊D3—316no—
313C2×C3⋊D3—616no—
314C2×C3⋊D3—632no—
315C2×C3⋊D3—68no—
316C2×C3⋊D3—62no—
317C2×C3⋊D3—62no—
318C2×C3⋊D3—616no—
319C2×C3⋊D3—62no—
320C2×C3⋊D3—68no—
321C2×C3⋊D3—62no—
322C2×C3⋊D3—62no—
323C2×C3⋊D3—632no—
324C2×C3⋊D3—68no—
325C2×C3⋊D3—68no—
326C2×C3⋊D3—68no—
327C2×C3⋊D3—68no—
328C2×C3⋊D3—128no—
329C2×C3⋊D3—128no—
330C2×C3⋊D3—1232no—
331C2×C3⋊D3—128no—
332C2×C3⋊D3—128no—
333C2×C3⋊D3—1232no—
334C2×C3⋊D3—1216no—
335C2×C3⋊D3—124no—
336C2×C3⋊D3C2×D1214yescomplemented
337C2×C3×D3—232no—
338C2×C3×D3—28no—
339C2×C3×D3—28no—
340C2×C3×D3—316no—
341C2×C3×D3—632no—
342C2×C3×D3—68no—
343C2×C3×D3—68no—
344C2×C3×D3C2×D12116yescomplemented
345D32—6128no—
346C32×C4—216no—
347C32×C4—28no—
348C32×C4—22no—
349C32×C4—62no—
350C3⋊Dic3—22no—
351C3×Dic3—28no—
352C3×Dic3—68no—
353C25—271no—
354C22×D4—271no—
355C22×D4—271no—
356C22×D4—271no—
357#120—278no—
358C2×C22⋊C4—31no—
359C2×C22⋊C4—91no—
360C2×C22⋊C4—271no—
361C33C2×#12011yescharacteristic, complemented, Sylow
362C23×C3—24no—
363C23×C3—38no—
364C23×C3—316no—
365C23×C3—68no—
366C23×C3—68no—
367C23×C3—92no—
368C23×C3—94no—
369C23×C3—182no—
370C23×C3—182no—
371C23×C3C2×D3214yes—
372C23×C3C22×C3⋊D311yescharacteristic
373C22×D3—22no—
374C22×D3—22no—
375C22×D3—38no—
376C22×D3—316no—
377C22×D3—68no—
378C22×D3—68no—
379C22×D3—98no—
380C22×D3—92no—
381C22×D3—916no—
382C22×D3—94no—
383C22×D3—98no—
384C22×D3—92no—
385C22×D3—188no—
386C22×D3—1816no—
387C22×D3—188no—
388C22×D3—188no—
389C22×D3—188no—
390C22×D3—1832no—
391C22×D3—1832no—
392C22×D3—1832no—
393C22×D3—1832no—
394C22×D3—18128no—
395C22×D3—188no—
396C22×D3—188no—
397C22×D3—182no—
398C22×D3—182no—
399C22×D3—188no—
400C22×D3—1816no—
401C22×D3—188no—
402C22×D3—188no—
403C22×D3—188no—
404C22×D3—182no—
405C22×D3—182no—
406C22×D3—182no—
407C22×D3—368no—
408C22×D3—368no—
409C22×D3—368no—
410C22×D3—368no—
411C22×D3C4⋊(C3⋊D3)14yescomplemented
412C22×D3C22×C3⋊D312yes—
413C2×C3×C4—216no—
414C2×C3×C4—28no—
415C2×C3×C4—22no—
416C2×C3×C4—28no—
417C2×C3×C4—38no—
418C2×C3×C4—68no—
419C2×C3×C4—92no—
420C2×C3×C4—182no—
421C2×C3×C4C2×D3218yescomplemented
422C2×C3×C4C22×C3⋊D312yescomplemented
423#67—188no—
424#67—1832no—
425C2×Dic3—22no—
426C2×Dic3—38no—
427C2×Dic3—68no—
428C2×Dic3C22×C3⋊D312yescomplemented
429D12—1832no—
430D12—188no—
431D12—1864no—
432D12—1832no—
433D12—188no—
434C2×C32—24no—
435C2×C32—24no—
436C2×C32—24no—
437C2×C32—216no—
438C2×C32—64no—
439C2×C32#882116yescomplemented
440C2×C32#88214yescomplemented
441C2×C32C22×D1214yes—
442C2×C32C22×D1211yescharacteristic
443C2×C32C2×D3×D414yes—
444C2×C32C2×D3×D414yes—
445C2×C32C2×D3×D411yescharacteristic
446C2×C32C2×D3×D411yescharacteristic
447C3⋊D3—24no—
448C3⋊D3—64no—
449C3⋊D3—616no—
450C3⋊D3—1216no—
451C3⋊D3—1216no—
452C3⋊D3—128no—
453C3⋊D3—122no—
454C3×D3—216no—
455C3×D3—616no—
456C24—31no—
457C24—91no—
458C24—274no—
459C24—271no—
460C24—271no—
461C24—544no—
462C24—544no—
463C24—544no—
464C2×D4—274no—
465C2×D4—274no—
466C2×D4—274no—
467C2×D4—544no—
468C2×D4—544no—
469C2×D4—544no—
470C22×C4—31no—
471C22×C4—91no—
472C22×C4D3×C3⋊D311yescharacteristic, complemented
473C22⋊C4—34no—
474C22⋊C4—94no—
475C22⋊C4—274no—
476C22×C3—24no—
477C22×C3—28no—
478C22×C3—28no—
479C22×C3—28no—
480C22×C3—316no—
481C22×C3—68no—
482C22×C3—68no—
483C22×C3—632no—
484C22×C3—94no—
485C22×C3—188no—
486C22×C3—182no—
487C22×C3—182no—
488C22×C3D3×D1218yes—
489C22×C3D3×D1218yes—
490C22×C3#381118yes—
491C22×C3C2×C4⋊(C3⋊D3)12yes—
492C22×C3D4×C3⋊D312yes—
493C22×C3D4×C3⋊D312yes—
494C22×C3C22×D3214yes—
495C22×C3C23×C3⋊D311yescharacteristic
496C2×D3—28no—
497C2×D3—22no—
498C2×D3—22no—
499C2×D3—316no—
500C2×D3—68no—
501C2×D3—68no—
502C2×D3—632no—
503C2×D3—916no—
504C2×D3—94no—
505C2×D3—1816no—
506C2×D3—1832no—
507C2×D3—18128no—
508C2×D3—188no—
509C2×D3—188no—
510C2×D3—188no—
511C2×D3—182no—
512C2×D3—182no—
513C2×D3—1832no—
514C2×D3—1816no—
515C2×D3—188no—
516C2×D3—188no—
517C2×D3—188no—
518C2×D3—182no—
519C2×D3—182no—
520C2×D3—182no—
521C2×D3—3632no—
522C2×D3—368no—
523C2×D3—368no—
524C2×D3—368no—
525C2×D3—368no—
526C2×D3—3632no—
527C2×D3—364no—
528C2×D3—3616no—
529C2×D3C2×C4⋊(C3⋊D3)14yescomplemented
530C3×C4—216no—
531C3×C4—28no—
532C3×C4—22no—
533C3×C4—68no—
534C3×C4—182no—
535Dic3—22no—
536Dic3—68no—
537C32—24no—
538C32C2×#88214yescomplemented
539C32C2×#88211yescharacteristic, complemented
540C23—32no—
541C23—34no—
542C23—62no—
543C23—62no—
544C23—92no—
545C23—94no—
546C23—182no—
547C23—182no—
548C23—272no—
549C23—274no—
550C23—272no—
551C23—548no—
552C23—548no—
553C23—548no—
554C23—5432no—
555C23—542no—
556C23—542no—
557C23—542no—
558C23—542no—
559C23—542no—
560C23C2×D3×C3⋊D311yescharacteristic
561D4—548no—
562D4—548no—
563D4—548no—
564C2×C4—22no—
565C2×C4—32no—
566C2×C4—62no—
567C2×C4—92no—
568C2×C4—182no—
569C2×C4C2×D3×C3⋊D312yescomplemented
570C2×C3—216no—
571C2×C3—24no—
572C2×C3—24no—
573C2×C3—24no—
574C2×C3—616no—
575C2×C3—184no—
576C2×C3#63923116yescomplemented
577C2×C3#6409114yescomplemented
578C2×C3C2×D3×D1214yes—
579C2×C3C2×D3×D1214yes—
580C2×C3C2×#381114yes—
581C2×C3C22×C4⋊(C3⋊D3)11yescharacteristic
582C2×C3C2×D4×C3⋊D311yescharacteristic
583C2×C3C2×D4×C3⋊D311yescharacteristic
584D3—24no—
585D3—616no—
586D3—184no—
587D3—1816no—
588D3—3616no—
589D3—3616no—
590D3—362no—
591D3—368no—
592C22—34no—
593C22—68no—
594C22—62no—
595C22—62no—
596C22—94no—
597C22—188no—
598C22—182no—
599C22—182no—
600C22—274no—
601C22—5432no—
602C22—548no—
603C22—542no—
604C22—542no—
605C22—542no—
606C22—542no—
607C22—542no—
608C22—1084no—
609C22D3×C4⋊(C3⋊D3)12yes—
610C22C3⋊D3×D1212yes—
611C22#8903912yes—
612C22C22×D3×C3⋊D311yescharacteristic
613C4—22no—
614C4—62no—
615C4—182no—
616C3—24no—
617C3C2×#6392314yescomplemented
618C3C2×#6409111yescharacteristic, complemented
619C2—64no—
620C2—184no—
621C2—544no—
622C2—1082no—
623C2#1172354214yesdirect product factor
624C2C2×D3×C4⋊(C3⋊D3)11yescharacteristic
625C2C2×C3⋊D3×D1211yescharacteristic
626C2C2×#8903911yescharacteristic
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×C4⋊(C3⋊(C3⋊D3))C2semidirect
3. C22×#6292C2semidirect
4. C22×#6291C2semidirect
5. C2×C3×#3752C2semidirect
6. C2×C32×(C2×D3)⋊C4C2semidirect
7. C2×#88804C2semidirect
8. #11723542C2direct (N × H)
12. C23×C3⋊(C3⋊D3)C22semidirect
18. C22×D3×C3⋊D3C22semidirect
19. C22×C33×C4C22semidirect
21. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
22. C22×C3×C3⋊Dic3C22semidirect
23. C22×C32×Dic3C22semidirect
25. C2×#6292C22semidirect
27. C2×#6291C22semidirect
28. C3×#3752C22semidirect
29. C32×(C2×D3)⋊C4C22semidirect
30. #88804C22semidirect
42. C2×#3752D3semidirect
45. C2×C3×(C2×D3)⋊C4D3semidirect
54. C22×C3⋊(C3⋊D3)D4semidirect
56. C22×C3⋊(C3⋊D3)C23semidirect
59. C22×C3×C3⋊D3D4semidirect
63. C22×C32×D3D4semidirect
70. C2×C33×C4C23semidirect
73. C2×C3×C3⋊Dic3C23semidirect
75. C2×C32×Dic3C23semidirect
100. C22×C32×C4C2×D3semidirect
101. C22×C32×C4C2×D3semidirect
104. C22×C3⋊Dic3C2×D3semidirect
114. C22×C3×Dic3C2×D3semidirect
121. #3752C2×D3semidirect
123. C3×(C2×D3)⋊C4C2×D3semidirect
136. C2×C3⋊(C3⋊D3)C2×D4semidirect
140. C2×C3×C3⋊D3C2×D4semidirect
144. C2×C32×D3C2×D4semidirect
163. C2×(C2×D3)⋊C4C3⋊D3semidirect
203. C22×C3⋊D3D12semidirect
211. C22×C3×D3D12semidirect
223. C2×C32×C4C22×D3semidirect
224. C2×C32×C4C22×D3semidirect
227. C2×C3⋊Dic3C22×D3semidirect
235. C2×C3×Dic3C22×D3semidirect
239. C2×C33#120semidirect
268. C22×C3×C4D32semidirect
269. C22×C3×C4C2×C3⋊D3semidirect
275. C22×Dic3C2×C3⋊D3semidirect
291. (C2×D3)⋊C4C2×C3⋊D3semidirect
336. C2×C3⋊D3C2×D12semidirect
344. C2×C3×D3C2×D12semidirect
361. C33C2×#120semidirect
411. C22×D3C4⋊(C3⋊D3)semidirect
421. C2×C3×C4C2×D32semidirect
422. C2×C3×C4C22×C3⋊D3semidirect
428. C2×Dic3C22×C3⋊D3semidirect
439. C2×C32#882semidirect
440. C2×C32#882semidirect
472. C22×C4D3×C3⋊D3semidirect
529. C2×D3C2×C4⋊(C3⋊D3)semidirect
538. C32C2×#882semidirect
539. C32C2×#882semidirect
569. C2×C4C2×D3×C3⋊D3semidirect
576. C2×C3#63923semidirect
577. C2×C3#64091semidirect
617. C3C2×#63923semidirect
618. C3C2×#64091semidirect
623. C2#11723542direct (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×#62922
C22×#62912
C2×C3×#37522
C2×C32×(C2×D3)⋊C42
C2×#888042
#117235422
C2×#640913
C2×#639233