Finite Group Databasebeta

← #13161458

Subgroups — #13161458

Order 1728.

2460 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#638C211yesmaximal, characteristic, complemented
2C22×C32×#67C211yesmaximal, characteristic, complemented
3C22×#6290C211yesmaximal, characteristic, complemented
4C2×#88864C211yesmaximal, characteristic, complemented
5C2×#88803C211yesmaximal, characteristic, complemented
6C2×(C2×D3)⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
7#11722061C211yesmaximal, characteristic, complemented
8#10592922—31nomaximal
9#10591723—34nomaximal
10C24×C33C2211yescharacteristic
11C23×C3×C3⋊D3C2211yescharacteristic
12C23×C32×D3C2211yescharacteristic
13C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
14C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
15C2×C3×#638—22no—
16C2×C3×#638—22no—
17C2×C3×#638—22no—
18C22×C3×C3⋊Dic3C2211yescharacteristic
19C2×C32×#67—22no—
20C2×C32×#67—22no—
21C2×C32×#67—22no—
22C22×C32×Dic3C2211yescharacteristic
23C2×#6290—22no—
24C2×#6290—22no—
25C2×#6290—22no—
26#88864—22no—
27#88803—22no—
28(C2×D3)⋊(C3⋊Dic3)—22no—
29C22×C32×D4—31no—
30C22×#638—31no—
31C22×#638D311yescharacteristic, complemented
32C22×C3×#67—34no—
33C22×C3×#67D314yescomplemented
34C22×#625—34no—
35C2×#3757—31no—
36C2×#3757—31no—
37C2×#3757—34no—
38C2×#3757—64no—
39C2×#3752—31no—
40C2×(C2×D3)⋊Dic3—34no—
41C2×(C2×D3)⋊Dic3—34no—
42#63658—31no—
43#63579—34no—
44C23×C33—21no—
45C23×C33—21no—
46C23×C33—21no—
47C23×C33—21no—
48C23×C33—21no—
49C23×C33—21no—
50C23×C33D412yescomplemented
51C23×C33C2311yescharacteristic
52C22×C3×C3⋊D3—21no—
53C22×C3×C3⋊D3—21no—
54C22×C3×C3⋊D3—21no—
55C22×C3×C3⋊D3—21no—
56C22×C3×C3⋊D3—21no—
57C22×C3×C3⋊D3—21no—
58C22×C3×C3⋊D3D412yescomplemented
59C22×C32×D3—21no—
60C22×C32×D3—21no—
61C22×C32×D3—21no—
62C22×C32×D3—21no—
63C22×C32×D3—21no—
64C22×C32×D3—21no—
65C22×C32×D3D412yescomplemented
66C2×C3⋊(C3⋊Dic3)—21no—
67C2×C3⋊(C3⋊Dic3)—21no—
68C2×C3⋊(C3⋊Dic3)—21no—
69C2×C3⋊(C3⋊Dic3)—21no—
70C2×C3⋊(C3⋊Dic3)—21no—
71C2×C3⋊(C3⋊Dic3)D412yescomplemented
72C3×#638—28no—
73C2×C3×C3⋊Dic3—21no—
74C2×C3×C3⋊Dic3—21no—
75C2×C3×C3⋊Dic3D412yescomplemented
76C32×#67—28no—
77C2×C32×Dic3—21no—
78C2×C32×Dic3—21no—
79C2×C32×Dic3D412yescomplemented
80#6290—28no—
81#5223—94no—
82#5223—91no—
83C24×C32—24no—
84C24×C32—31no—
85C24×C32C2×D314yes—
86C24×C32C2×D311yescharacteristic
87C23×C3⋊D3C2×D311yescharacteristic
88C23×C3×D3—34no—
89C23×C3×D3C2×D314yes—
90C2×C32×D4—62no—
91C2×C32×D4—62no—
92C2×C32×D4—62no—
93C22×C32×C4—31no—
94C2×#638—22no—
95C2×#638—22no—
96C2×#638—22no—
97C2×#638—62no—
98C2×#638—62no—
99C2×#638—62no—
100C22×C3⋊Dic3—31no—
101C22×C3⋊Dic3—34no—
102C22×C3⋊Dic3—31no—
103C22×C3⋊Dic3—34no—
104C22×C3⋊Dic3—64no—
105C22×C3⋊Dic3—64no—
106C22×C3⋊Dic3C2×D311yescharacteristic
107C2×C3×#67—28no—
108C2×C3×#67—28no—
109C2×C3×#67—28no—
110C2×C3×#67—68no—
111C2×C3×#67—68no—
112C2×C3×#67—68no—
113C22×C3×Dic3—34no—
114C22×C3×Dic3C2×D314yes—
115C2×#625—68no—
116C2×#625—68no—
117C2×#625—68no—
118#3757—62no—
119#3757—68no—
120#3757—616no—
121#3757—62no—
122#3752—62no—
123(C2×D3)⋊Dic3—68no—
124(C2×D3)⋊Dic3—68no—
125C22×C33—22no—
126C22×C33—22no—
127C22×C33—22no—
128C22×C33—41no—
129C22×C33—41no—
130C22×C33—41no—
131C22×C33—41no—
132C22×C33C2×D411yescharacteristic
133C22×C33C2×D411yescharacteristic
134C22×C33C2×D411yescharacteristic
135C22×C33C2×D411yescharacteristic
136C22×C33C2×D411yescharacteristic
137C22×C33C2×D411yescharacteristic
138C22×C33#4111yescharacteristic
139C2×C3×C3⋊D3—22no—
140C2×C3×C3⋊D3—22no—
141C2×C3×C3⋊D3—22no—
142C2×C3×C3⋊D3—41no—
143C2×C3×C3⋊D3—41no—
144C2×C3×C3⋊D3—41no—
145C2×C3×C3⋊D3—41no—
146C2×C32×D3—22no—
147C2×C32×D3—22no—
148C2×C32×D3—22no—
149C2×C32×D3—41no—
150C2×C32×D3—41no—
151C2×C32×D3—41no—
152C2×C32×D3—41no—
153C3⋊(C3⋊Dic3)—22no—
154C3⋊(C3⋊Dic3)—41no—
155C3×C3⋊Dic3—22no—
156C32×Dic3—22no—
157C22×C3×D4—34no—
158C22×C3×D4—91no—
159C22×#67—34no—
160C22×#67—94no—
161C22×#67—91no—
162C22×#67C3⋊D311yescharacteristic, complemented
163C2×#217—94no—
164C2×#217—94no—
165C2×#217—91no—
166C2×#217—91no—
167C2×#217—184no—
168C2×(C2×D3)⋊C4—94no—
169C2×(C2×D3)⋊C4—91no—
170C3⋊#95—94no—
171C3⋊#95—91no—
172C23×C32—28no—
173C23×C32—28no—
174C23×C32—24no—
175C23×C32—21no—
176C23×C32—21no—
177C23×C32—21no—
178C23×C32—24no—
179C23×C32—21no—
180C23×C32—21no—
181C23×C32—21no—
182C23×C32—28no—
183C23×C32—24no—
184C23×C32—24no—
185C23×C32—24no—
186C23×C32—24no—
187C23×C32—24no—
188C23×C32—32no—
189C23×C32—44no—
190C23×C32—44no—
191C23×C32—44no—
192C23×C32—44no—
193C23×C32—61no—
194C23×C32—61no—
195C23×C32—61no—
196C23×C32—61no—
197C23×C32—61no—
198C23×C32—61no—
199C23×C32#6718yescomplemented
200C23×C32#6712yescomplemented
201C23×C32C22×D314yes—
202C23×C32C22×D311yescharacteristic
203C22×C3⋊D3—21no—
204C22×C3⋊D3—21no—
205C22×C3⋊D3—21no—
206C22×C3⋊D3—21no—
207C22×C3⋊D3—21no—
208C22×C3⋊D3—21no—
209C22×C3⋊D3#6712yescomplemented
210C22×C3×D3—24no—
211C22×C3×D3—24no—
212C22×C3×D3—24no—
213C22×C3×D3—24no—
214C22×C3×D3—24no—
215C22×C3×D3—24no—
216C22×C3×D3—38no—
217C22×C3×D3—64no—
218C22×C3×D3—64no—
219C22×C3×D3—64no—
220C22×C3×D3—64no—
221C22×C3×D3—64no—
222C22×C3×D3—64no—
223C22×C3×D3#6718yescomplemented
224C32×D4—68no—
225C2×C32×C4—32no—
226C2×C32×C4—61no—
227C2×C32×C4—61no—
228#638—28no—
229#638—68no—
230C2×C3⋊Dic3—21no—
231C2×C3⋊Dic3—21no—
232C2×C3⋊Dic3—32no—
233C2×C3⋊Dic3—38no—
234C2×C3⋊Dic3—68no—
235C2×C3⋊Dic3—61no—
236C2×C3⋊Dic3—61no—
237C2×C3⋊Dic3—68no—
238C2×C3⋊Dic3—61no—
239C2×C3⋊Dic3—64no—
240C2×C3⋊Dic3—61no—
241C2×C3⋊Dic3—61no—
242C2×C3⋊Dic3—64no—
243C2×C3⋊Dic3—64no—
244C2×C3⋊Dic3—64no—
245C2×C3⋊Dic3—64no—
246C2×C3⋊Dic3—124no—
247C2×C3⋊Dic3—124no—
248C2×C3⋊Dic3—124no—
249C2×C3⋊Dic3—124no—
250C2×C3⋊Dic3#6712yescomplemented
251C3×#67—232no—
252C3×#67—632no—
253C2×C3×Dic3—24no—
254C2×C3×Dic3—24no—
255C2×C3×Dic3—38no—
256C2×C3×Dic3—64no—
257C2×C3×Dic3—64no—
258C2×C3×Dic3#6718yescomplemented
259#625—632no—
260#392—271noSylow
261C2×C33—42no—
262C2×C33#12011yescharacteristic
263C2×C33#12011yescharacteristic
264C2×C33#12011yescharacteristic
265C2×C33#12111yescharacteristic
266C2×C33#12111yescharacteristic
267C2×C33#12111yescharacteristic
268C2×C33#12711yescharacteristic
269C3×C3⋊D3—42no—
270C32×D3—42no—
271C24×C3—24no—
272C24×C3—34no—
273C24×C3—91no—
274C24×C3D3214yes—
275C24×C3C2×C3⋊D311yescharacteristic
276C23×D3—34no—
277C23×D3C2×C3⋊D311yescharacteristic
278C2×C3×D4—68no—
279C2×C3×D4—68no—
280C2×C3×D4—68no—
281C2×C3×D4—182no—
282C2×C3×D4—182no—
283C2×C3×D4—182no—
284C22×C3×C4—34no—
285C22×C3×C4—91no—
286C2×#67—22no—
287C2×#67—22no—
288C2×#67—22no—
289C2×#67—68no—
290C2×#67—68no—
291C2×#67—68no—
292C2×#67—182no—
293C2×#67—188no—
294C2×#67—182no—
295C2×#67—188no—
296C2×#67—188no—
297C2×#67—182no—
298C22×Dic3—34no—
299C22×Dic3—94no—
300C22×Dic3—91no—
301C22×Dic3—94no—
302C22×Dic3—91no—
303C22×Dic3—184no—
304C22×Dic3—184no—
305C22×Dic3C2×C3⋊D311yescharacteristic
306#217—188no—
307#217—188no—
308#217—182no—
309#217—1816no—
310#217—182no—
311(C2×D3)⋊C4—188no—
312(C2×D3)⋊C4—182no—
313C22×C32—216no—
314C22×C32—22no—
315C22×C32—28no—
316C22×C32—22no—
317C22×C32—22no—
318C22×C32—24no—
319C22×C32—24no—
320C22×C32—24no—
321C22×C32—24no—
322C22×C32—24no—
323C22×C32—24no—
324C22×C32—24no—
325C22×C32—28no—
326C22×C32—28no—
327C22×C32—48no—
328C22×C32—48no—
329C22×C32—48no—
330C22×C32—48no—
331C22×C32—48no—
332C22×C32—48no—
333C22×C32—44no—
334C22×C32—41no—
335C22×C32—44no—
336C22×C32—41no—
337C22×C32—44no—
338C22×C32—41no—
339C22×C32—44no—
340C22×C32—41no—
341C22×C32—62no—
342C22×C32—62no—
343C22×C32—62no—
344C22×C32—121no—
345C22×C32—121no—
346C22×C32—121no—
347C22×C32—121no—
348C22×C32D3×D414yes—
349C22×C32D3×D414yes—
350C22×C32D3×D414yes—
351C22×C32D3×D411yescharacteristic
352C22×C32D3×D411yescharacteristic
353C22×C32D3×D411yescharacteristic
354C22×C32#23714yes—
355C22×C32#23711yescharacteristic
356C22×C32C2×#6714yes—
357C22×C32C2×#6714yes—
358C22×C32C2×#6714yes—
359C22×C32C2×#6711yescharacteristic
360C22×C32C2×#6711yescharacteristic
361C22×C32C2×#6711yescharacteristic
362C2×C3⋊D3—22no—
363C2×C3⋊D3—22no—
364C2×C3⋊D3—22no—
365C2×C3⋊D3—41no—
366C2×C3⋊D3—41no—
367C2×C3⋊D3—41no—
368C2×C3⋊D3—41no—
369C2×C3×D3—28no—
370C2×C3×D3—28no—
371C2×C3×D3—28no—
372C2×C3×D3—44no—
373C2×C3×D3—44no—
374C2×C3×D3—44no—
375C2×C3×D3—44no—
376C2×C3×D3—68no—
377C2×C3×D3—68no—
378C2×C3×D3—68no—
379C2×C3×D3—124no—
380C2×C3×D3—124no—
381C2×C3×D3—124no—
382C2×C3×D3—124no—
383C32×C4—62no—
384C3⋊Dic3—22no—
385C3⋊Dic3—62no—
386C3⋊Dic3—68no—
387C3⋊Dic3—128no—
388C3⋊Dic3—128no—
389C3⋊Dic3—124no—
390C3⋊Dic3—121no—
391C3×Dic3—28no—
392C3×Dic3—68no—
393C22×D4—31no—
394C22×D4—91no—
395C22×D4—271no—
396C2×C22⋊C4—271no—
397C2×C22⋊C4—271no—
398C2×C22⋊C4—271no—
399#95—271no—
400C33#39211yescharacteristic, complemented, Sylow
401C23×C3—28no—
402C23×C3—28no—
403C23×C3—24no—
404C23×C3—24no—
405C23×C3—24no—
406C23×C3—24no—
407C23×C3—24no—
408C23×C3—24no—
409C23×C3—21no—
410C23×C3—21no—
411C23×C3—21no—
412C23×C3—21no—
413C23×C3—21no—
414C23×C3—21no—
415C23×C3—28no—
416C23×C3—24no—
417C23×C3—38no—
418C23×C3—44no—
419C23×C3—44no—
420C23×C3—44no—
421C23×C3—44no—
422C23×C3—64no—
423C23×C3—64no—
424C23×C3—64no—
425C23×C3—64no—
426C23×C3—64no—
427C23×C3—64no—
428C23×C3—92no—
429C23×C3—181no—
430C23×C3—181no—
431C23×C3—181no—
432C23×C3—181no—
433C23×C3—181no—
434C23×C3—181no—
435C23×C3#62518yescomplemented
436C23×C3#63812yescomplemented
437C23×C3C2×D3214yes—
438C23×C3C22×C3⋊D311yescharacteristic
439C22×D3—21no—
440C22×D3—21no—
441C22×D3—21no—
442C22×D3—21no—
443C22×D3—21no—
444C22×D3—21no—
445C22×D3—38no—
446C22×D3—64no—
447C22×D3—64no—
448C22×D3—64no—
449C22×D3—64no—
450C22×D3—64no—
451C22×D3—64no—
452C22×D3#63812yescomplemented
453C3×D4—632no—
454C3×D4—188no—
455C2×C3×C4—38no—
456C2×C3×C4—64no—
457C2×C3×C4—64no—
458C2×C3×C4—92no—
459C2×C3×C4—181no—
460C2×C3×C4—181no—
461#67—28no—
462#67—632no—
463#67—188no—
464#67—1832no—
465C2×Dic3—21no—
466C2×Dic3—21no—
467C2×Dic3—38no—
468C2×Dic3—64no—
469C2×Dic3—64no—
470C2×Dic3—98no—
471C2×Dic3—92no—
472C2×Dic3—188no—
473C2×Dic3—184no—
474C2×Dic3—184no—
475C2×Dic3—181no—
476C2×Dic3—181no—
477C2×Dic3—188no—
478C2×Dic3—184no—
479C2×Dic3—184no—
480C2×Dic3—184no—
481C2×Dic3—181no—
482C2×Dic3—181no—
483C2×Dic3—181no—
484C2×Dic3—364no—
485C2×Dic3—364no—
486C2×Dic3—364no—
487C2×Dic3—364no—
488C2×Dic3#63812yescomplemented
489C2×C32—24no—
490C2×C32—24no—
491C2×C32—24no—
492C2×C32—24no—
493C2×C32—24no—
494C2×C32—24no—
495C2×C32—24no—
496C2×C32—416no—
497C2×C32—48no—
498C2×C32—42no—
499C2×C32—122no—
500C2×C32#93714yes—
501C2×C32#93714yes—
502C2×C32#93711yescharacteristic
503C2×C32#93711yescharacteristic
504C2×C32#93814yes—
505C2×C32#93811yescharacteristic
506C2×C32#93914yes—
507C2×C32#93914yes—
508C2×C32#93911yescharacteristic
509C2×C32#93911yescharacteristic
510C2×C32#94014yes—
511C2×C32#94011yescharacteristic
512C2×C32#95314yes—
513C2×C32#95311yescharacteristic
514C3⋊D3—42no—
515C3×D3—48no—
516C3×D3—128no—
517C24—31no—
518C24—91no—
519C24D3×C3⋊D311yescharacteristic
520C2×D4—62no—
521C2×D4—62no—
522C2×D4—62no—
523C2×D4—182no—
524C2×D4—182no—
525C2×D4—182no—
526C2×D4—542no—
527C2×D4—542no—
528C2×D4—542no—
529C22×C4—31no—
530C22×C4—91no—
531C22×C4—271no—
532C22×C4—271no—
533C22⋊C4—542no—
534C22⋊C4—542no—
535C22⋊C4—542no—
536C22×C3—216no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—28no—
541C22×C3—28no—
542C22×C3—28no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—48no—
551C22×C3—48no—
552C22×C3—48no—
553C22×C3—48no—
554C22×C3—48no—
555C22×C3—48no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—41no—
560C22×C3—44no—
561C22×C3—44no—
562C22×C3—44no—
563C22×C3—44no—
564C22×C3—68no—
565C22×C3—68no—
566C22×C3—68no—
567C22×C3—124no—
568C22×C3—124no—
569C22×C3—124no—
570C22×C3—124no—
571C22×C3—182no—
572C22×C3—182no—
573C22×C3—182no—
574C22×C3—361no—
575C22×C3—361no—
576C22×C3—361no—
577C22×C3—361no—
578C22×C3#380514yes—
579C22×C3C2×#62514yes—
580C22×C3D3×#6714yes—
581C22×C3D3×#6714yes—
582C22×C3D3×#6714yes—
583C22×C3D3×#6714yes—
584C22×C3#381114yes—
585C22×C3D4×C3⋊D311yescharacteristic
586C22×C3D4×C3⋊D311yescharacteristic
587C22×C3D4×C3⋊D311yescharacteristic
588C22×C3#383011yescharacteristic
589C22×C3C2×#63811yescharacteristic
590C22×C3C2×#63811yescharacteristic
591C22×C3C2×#63811yescharacteristic
592C2×D3—22no—
593C2×D3—22no—
594C2×D3—22no—
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—68no—
600C2×D3—68no—
601C2×D3—68no—
602C2×D3—124no—
603C2×D3—124no—
604C2×D3—124no—
605C2×D3—124no—
606C3×C4—68no—
607C3×C4—182no—
608Dic3—22no—
609Dic3—68no—
610Dic3—182no—
611Dic3—188no—
612Dic3—368no—
613Dic3—368no—
614Dic3—361no—
615Dic3—364no—
616C32—24no—
617C32#522314yescomplemented
618C32#522311yescharacteristic, complemented
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—32no—
626C23—61no—
627C23—61no—
628C23—61no—
629C23—61no—
630C23—61no—
631C23—61no—
632C23—92no—
633C23—181no—
634C23—181no—
635C23—181no—
636C23—181no—
637C23—181no—
638C23—181no—
639C23#629012yescomplemented
640C23C2×D3×C3⋊D311yescharacteristic
641D4—68no—
642D4—188no—
643D4—548no—
644C2×C4—32no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—92no—
648C2×C4—181no—
649C2×C4—181no—
650C2×C4—272no—
651C2×C4—541no—
652C2×C4—541no—
653C2×C4—541no—
654C2×C4—541no—
655C2×C4—541no—
656C2×C3—24no—
657C2×C3—24no—
658C2×C3—24no—
659C2×C3—24no—
660C2×C3—24no—
661C2×C3—24no—
662C2×C3—24no—
663C2×C3—416no—
664C2×C3—42no—
665C2×C3—48no—
666C2×C3—128no—
667C2×C3—362no—
668C2×C3#6397014yes—
669C2×C3#6397014yes—
670C2×C3#6397614yes—
671C2×C3#6397614yes—
672C2×C3#6397914yes—
673C2×C3#6398014yes—
674C2×C3#6398314yes—
675C2×C3#6414611yescharacteristic
676C2×C3#6414611yescharacteristic
677C2×C3#6414711yescharacteristic
678C2×C3#6414811yescharacteristic
679C2×C3#6414811yescharacteristic
680C2×C3#6414911yescharacteristic
681C2×C3#6416211yescharacteristic
682D3—42no—
683D3—128no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—62no—
692C22—62no—
693C22—62no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22—182no—
699C22—182no—
700C22—182no—
701C22—361no—
702C22—361no—
703C22—361no—
704C22—361no—
705C22#8902911yescharacteristic
706C22C2×#629011yescharacteristic
707C22D3×#63811yescharacteristic
708C22D3×#63811yescharacteristic
709C22C3⋊D3×#6711yescharacteristic
710C22C3⋊D3×#6711yescharacteristic
711C22#8903911yescharacteristic
712C4—62no—
713C4—182no—
714C4—542no—
715C4—1081no—
716C3—24no—
717C3#1059172314yescomplemented
718C3#1059292211yescharacteristic, complemented
719C2—42no—
720C2—122no—
721C2—362no—
722C2#1172361511yescharacteristic
723C2#1172362911yescharacteristic
724C2#1172363111yescharacteristic
725C2#1172363311yescharacteristic
726C2#1172363411yescharacteristic
727C2#1172363711yescharacteristic
728C2#1172364311yescharacteristic
subgroupG/H
center, FrattiniC23C2×D3×C3⋊D3
commutator, socle, cosocleC23×C33C23
FittingC24×C33C22
hypercenterC24D3×C3⋊D3
hypocenterC33#392
LCSG ▷ C23×C33 ▷ C33
UCSC1 ◁ C23 ◁ C24

Complements

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

NH ≅ G/Ntype
1. C22×C3×#638C2semidirect
2. C22×C32×#67C2semidirect
3. C22×#6290C2semidirect
4. C2×#88864C2semidirect
5. C2×#88803C2semidirect
6. C2×(C2×D3)⋊(C3⋊Dic3)C2semidirect
7. #11722061C2semidirect
31. C22×#638D3semidirect
33. C22×C3×#67D3semidirect
50. C23×C33D4semidirect
58. C22×C3×C3⋊D3D4semidirect
65. C22×C32×D3D4semidirect
71. C2×C3⋊(C3⋊Dic3)D4semidirect
75. C2×C3×C3⋊Dic3D4semidirect
79. C2×C32×Dic3D4semidirect
162. C22×#67C3⋊D3semidirect
199. C23×C32#67semidirect
200. C23×C32#67semidirect
209. C22×C3⋊D3#67semidirect
223. C22×C3×D3#67semidirect
250. C2×C3⋊Dic3#67semidirect
258. C2×C3×Dic3#67semidirect
400. C33#392semidirect
435. C23×C3#625semidirect
436. C23×C3#638semidirect
452. C22×D3#638semidirect
488. C2×Dic3#638semidirect
617. C32#5223semidirect
618. C32#5223semidirect
639. C23#6290semidirect
717. C3#10591723semidirect
718. C3#10592922semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#6382
C22×C32×#672
C22×#62902
C2×#888642
C2×#888032
C2×(C2×D3)⋊(C3⋊Dic3)2
#117220612
#105929223
#105917233