Finite Group Databasebeta

← #13172178

Subgroups — #13172178

Order 1728.

1706 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89049C211yesmaximal, characteristic
2C3⋊D3×#217C211yesmaximal, characteristic, complemented
3Dic3×#638C212yesmaximal, complemented
4C2×C3×#3722C211yesmaximal, characteristic, complemented
5C3×#63952C212yesmaximal, complemented
6#11722938C212yesmaximal, complemented
7#11722934C212yesmaximal, complemented
8#11722922C212yesmaximal, complemented
9#11722905C212yesmaximal, complemented
10#10595056—32nomaximal
11#10594256—31nomaximal
12C23×C3×C3⋊D3C2211yescharacteristic
13C22×#1113C2211yescharacteristic
14C2×C3×#638C2212yes—
15C22×C32×Dic3C2212yescomplemented
16#89049C418yescomplemented
17C2×#6295C2212yes—
18C2×#6294C2211yescharacteristic
19C2×Dic3×C3⋊D3C2212yescomplemented
20C2×Dic3×C3⋊D3C2212yescomplemented
21C2×C3×#624C2212yescomplemented
22#88864C2211yescharacteristic, complemented
23C32×#217C2211yescharacteristic, complemented
24#88807C2212yescomplemented
25#88803C2212yes—
26#88803C2212yescomplemented
27Dic3×C3⋊Dic3C2212yescomplemented
28C3×#3724C2212yescomplemented
29C3×#3722C2212yes—
30C3×#3722C2212yescomplemented
31C3×#3722C2211yescharacteristic, complemented
32C3×#3722C2211yescharacteristic, complemented
33C3×Dic32C2212yescomplemented
34C2×#3811—31no—
35C2×D3×#67—32no—
36C4×#638—32no—
37C22⋊C4×C3⋊D3—31no—
38C3×C4×#67—32no—
39C2×C3×(C2×D3)⋊C4—32no—
40C3×#67⋊C4—32no—
41Dic3×#67—32no—
42Dic3×#67—32no—
43Dic3×#67—62no—
44D3×#217—32no—
45D3×#217—61no—
46C2×#3722D311yescharacteristic, complemented
47#63952D312yescomplemented
48#63921—32no—
49D3×(C2×D3)⋊C4—32no—
50D3×(C2×D3)⋊C4—32no—
51C4×#626—32no—
52#63902—32no—
53#63881—32no—
54#63881—32no—
55#63880—32no—
56#63879—32no—
57#63878—32no—
58#63877—32no—
59#63836—32no—
60C23×C33C2311yescharacteristic
61C22×C3×C3⋊D3—42no—
62C22×C3×C3⋊D3C2×C414yescomplemented
63C22×C3×C3⋊D3C2311yescharacteristic
64C22×C3×C3⋊D3C2312yes—
65C22×C3×C3⋊D3C2311yescharacteristic
66C2×#1113—42no—
67C2×#1113C2×C414yescomplemented
68C2×C3⋊(C3⋊Dic3)C2312yes—
69C3×#638C2×C418yescomplemented
70C2×C3×C3⋊Dic3C2312yes—
71C2×C32×Dic3—42no—
72C2×C32×Dic3C2312yes—
73C2×C32×Dic3C2312yes—
74C2×C32×Dic3C2312yes—
75#6295C2×C418yescomplemented
76#6294C2×C414yescomplemented
77Dic3×C3⋊D3—42no—
78Dic3×C3⋊D3—42no—
79C3×#624—42no—
80#5545—92no—
81#5486—91no—
82C23×C3⋊D3C2×D311yescharacteristic
83C23×C3×D3—32no—
84C23×C3×D3—61no—
85C22×D32—32no—
86C22×D32—31no—
87C22×C32×C4—32no—
88C2×#638C2×D312yes—
89C2×C4×C3⋊D3—32no—
90C2×C4×C3⋊D3—32no—
91C2×C3×#67—32no—
92C2×C3×#67—32no—
93C2×C3×#67—62no—
94C22×C3×Dic3—22no—
95C22×C3×Dic3C2×D312yescomplemented
96C22×C3×Dic3C2×D312yescomplemented
97C2×C3×C4×D3—32no—
98C2×C3×C4×D3—32no—
99#3811—38no—
100D3×#67—316no—
101C2×#626—32no—
102C2×#626—32no—
103C2×#625—32no—
104C2×#624—31no—
105C2×#624C2×D312yescomplemented
106C2×D3×Dic3—32no—
107C2×D3×Dic3—32no—
108C2×D3×Dic3—32no—
109C2×D3×Dic3—32no—
110C2×D3×Dic3—32no—
111C2×D3×Dic3—62no—
112C2×D3×Dic3—62no—
113C32×C22⋊C4—31no—
114#3757—31no—
115#3757—32no—
116#3757—61no—
117#3757—62no—
118#3757—121no—
119#3752—32no—
120#3752—32no—
121#3750—32no—
122C4×C3⋊Dic3—32no—
123C3×#217—21no—
124C3×#217C2×D312yescomplemented
125C3×(C2×D3)⋊C4—32no—
126C3×(C2×D3)⋊C4—32no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—32no—
129C3×(C2×D3)⋊C4—32no—
130C3×(C2×D3)⋊C4—32no—
131C3×Dic3⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×C4×Dic3—32no—
134C3×C4×Dic3—32no—
135#3724C2×D312yescomplemented
136Dic3⋊Dic3—32no—
137Dic3⋊Dic3—32no—
138Dic3⋊Dic3—62no—
139#3722C2×D312yes—
140#3722C2×D311yescharacteristic, complemented
141#3722C2×D312yescomplemented
142#3722C2×D311yescharacteristic, complemented
143(C2×D3)⋊Dic3—32no—
144(C2×D3)⋊Dic3—32no—
145(C2×D3)⋊Dic3—32no—
146(C2×D3)⋊Dic3—32no—
147(C2×D3)⋊Dic3—62no—
148(C2×D3)⋊Dic3—62no—
149Dic32—32no—
150Dic32—32no—
151Dic32—62no—
152Dic32C2×D312yescomplemented
153C22×C33—22no—
154C22×C33C22×C412yes—
155C22×C33C2411yescharacteristic
156C2×C3×C3⋊D3—22no—
157C2×C3×C3⋊D3—22no—
158C2×C3×C3⋊D3—22no—
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—44no—
161C2×C3×C3⋊D3C22×C412yes—
162C2×C3×C3⋊D3C22×C412yes—
163C2×C3×C3⋊D3C22×C414yes—
164#1113—44no—
165C3⋊(C3⋊Dic3)—22no—
166C3×C3⋊Dic3C22×C414yes—
167C32×Dic3—22no—
168C32×Dic3—22no—
169C32×Dic3—22no—
170C22×#67—91no—
171C2×D3×D4—92no—
172C3×C4×D4—92no—
173C2×C3×C22⋊C4—91no—
174C2×#217—91no—
175D4×Dic3—92no—
176C4×#67—32no—
177C4×#67—92no—
178C4×#67—92no—
179C4×#67—92no—
180C4×#67—182no—
181C2×(C2×D3)⋊C4—32no—
182C2×(C2×D3)⋊C4—92no—
183#893—92no—
184#892—92no—
185#67⋊C4—32no—
186#67⋊C4—92no—
187#67⋊C4—92no—
188#67⋊C4—92no—
189D3×C22⋊C4—92no—
190D3×C22⋊C4—92no—
191D3×C22⋊C4—92no—
192D3×C22⋊C4—181no—
193#877—92no—
194C4×D12—92no—
195#872—92no—
196C23×C32—21no—
197C23×C32—22no—
198C23×C32—41no—
199C23×C32C22×D312yes—
200C23×C32C22×D311yescharacteristic
201C22×C3⋊D3—42no—
202C22×C3⋊D3C4×D314yescomplemented
203C22×C3⋊D3C22×D311yescharacteristic
204C22×C3⋊D3C22×D312yes—
205C22×C3⋊D3C22×D311yescharacteristic
206C22×C3×D3—32no—
207C22×C3×D3—32no—
208C22×C3×D3—32no—
209C22×C3×D3—32no—
210C22×C3×D3—38no—
211C22×C3×D3—61no—
212C22×C3×D3—61no—
213C22×C3×D3—64no—
214C22×C3×D3—62no—
215C22×C3×D3—122no—
216C22×C3×D3—122no—
217C22×C3×D3—124no—
218C2×D32—38no—
219C2×D32—34no—
220C2×D32—122no—
221C2×D32—122no—
222C2×D32—122no—
223C2×C32×C4—32no—
224C2×C32×C4—32no—
225C2×C32×C4—32no—
226C2×C32×C4—122no—
227#638C4×D318yescomplemented
228C2×C3⋊Dic3—32no—
229C2×C3⋊Dic3—32no—
230C2×C3⋊Dic3—32no—
231C2×C3⋊Dic3—62no—
232C2×C3⋊Dic3—62no—
233C2×C3⋊Dic3—62no—
234C2×C3⋊Dic3—122no—
235C2×C3⋊Dic3C22×D312yes—
236C4×C3⋊D3—122no—
237C4×C3⋊D3—122no—
238C3×#67—38no—
239C3×#67—38no—
240C3×#67—68no—
241C2×C3×Dic3—22no—
242C2×C3×Dic3—22no—
243C2×C3×Dic3—22no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—42no—
247C2×C3×Dic3—42no—
248C2×C3×Dic3—44no—
249C2×C3×Dic3—62no—
250C2×C3×Dic3C22×D312yes—
251C2×C3×Dic3C22×D312yes—
252C2×C3×Dic3C22×D312yes—
253C2×C3×Dic3C22×D312yes—
254C2×C3×Dic3C22×D312yes—
255C2×C3×Dic3C22×D312yes—
256C3×C4×D3—122no—
257C3×C4×D3—122no—
258#626—38no—
259#626—38no—
260#625—38no—
261#624—34no—
262#624—42no—
263D3×Dic3—38no—
264D3×Dic3—122no—
265D3×Dic3—122no—
266D3×Dic3—122no—
267D3×Dic3—122no—
268D3×Dic3—124no—
269D3×Dic3—124no—
270#518—271noSylow
271C2×C33—22no—
272C2×C33C23×C411yescharacteristic
273C2×C33H(5,𝔽2)12yes—
274C3×C3⋊D3—22no—
275C3×C3⋊D3—22no—
276C3×C3⋊D3—24no—
277C24×C3—91no—
278C23×D3—32no—
279C23×D3—61no—
280C23×D3—91no—
281C23×D3—92no—
282C2×C3×D4—92no—
283C22×C3×C4—32no—
284C22×C3×C4—32no—
285C22×C3×C4—62no—
286C22×C3×C4—92no—
287C2×#67—32no—
288C2×#67—32no—
289C2×#67—62no—
290C2×#67—92no—
291C2×#67—92no—
292C2×#67—98no—
293C22×Dic3—91no—
294C22×Dic3—92no—
295C22×Dic3—92no—
296C22×Dic3D3212yescomplemented
297D3×D4—916no—
298C2×D12—92no—
299C2×C4×D3—32no—
300C2×C4×D3—32no—
301C2×C4×D3—92no—
302C2×C4×D3—92no—
303C2×C4×D3—92no—
304C2×C4×D3—92no—
305C2×C4×D3—92no—
306C2×C4×D3—182no—
307C2×C4×D3—182no—
308C3×C4⋊C4—92no—
309C3×C22⋊C4—32no—
310C3×C22⋊C4—61no—
311C3×C22⋊C4—92no—
312C3×C22⋊C4—92no—
313C3×C22⋊C4—91no—
314C3×C22⋊C4—91no—
315C3×C42—92no—
316#217—92no—
317#217—91no—
318#217—92no—
319#217—92no—
320#217—181no—
321#217—182no—
322#217—361no—
323#217D3211yescharacteristic, complemented
324(C2×D3)⋊C4—32no—
325(C2×D3)⋊C4—32no—
326(C2×D3)⋊C4—32no—
327(C2×D3)⋊C4—32no—
328(C2×D3)⋊C4—32no—
329(C2×D3)⋊C4—32no—
330(C2×D3)⋊C4—92no—
331(C2×D3)⋊C4—92no—
332(C2×D3)⋊C4—92no—
333(C2×D3)⋊C4—92no—
334(C2×D3)⋊C4—182no—
335(C2×D3)⋊C4—182no—
336C4⋊Dic3—92no—
337Dic3⋊C4—32no—
338Dic3⋊C4—32no—
339Dic3⋊C4—92no—
340Dic3⋊C4—92no—
341Dic3⋊C4—182no—
342C4×Dic3—32no—
343C4×Dic3—32no—
344C4×Dic3—92no—
345C4×Dic3—92no—
346C4×Dic3—92no—
347C4×Dic3—182no—
348C22×C32—22no—
349C22×C32—22no—
350C22×C32—22no—
351C22×C32—22no—
352C22×C32—21no—
353C22×C32—24no—
354C22×C32—22no—
355C22×C32—41no—
356C22×C32—42no—
357C22×C32—42no—
358C22×C32—42no—
359C22×C32—42no—
360C22×C32—82no—
361C22×C32C2×C4×D312yes—
362C22×C32C2×C4×D314yes—
363C22×C32C23×D311yescharacteristic
364C22×C32C23×D312yes—
365C2×C3⋊D3—22no—
366C2×C3⋊D3—22no—
367C2×C3⋊D3—22no—
368C2×C3⋊D3—22no—
369C2×C3⋊D3—44no—
370C2×C3⋊D3C2×C4×D312yes—
371C2×C3⋊D3C2×C4×D312yes—
372C2×C3⋊D3C2×C4×D314yes—
373C2×C3×D3—34no—
374C2×C3×D3—34no—
375C2×C3×D3—34no—
376C2×C3×D3—34no—
377C2×C3×D3—62no—
378C2×C3×D3—64no—
379C2×C3×D3—62no—
380C2×C3×D3—64no—
381C2×C3×D3—62no—
382C2×C3×D3—62no—
383C2×C3×D3—62no—
384C2×C3×D3—62no—
385C2×C3×D3—62no—
386C2×C3×D3—62no—
387C2×C3×D3—62no—
388C2×C3×D3—62no—
389C2×C3×D3—122no—
390C2×C3×D3—122no—
391C2×C3×D3—122no—
392C2×C3×D3—128no—
393C2×C3×D3—128no—
394D32—124no—
395D32—128no—
396C32×C4—62no—
397C32×C4—62no—
398C32×C4—62no—
399C3⋊Dic3—62no—
400C3⋊Dic3—62no—
401C3⋊Dic3—62no—
402C3⋊Dic3—122no—
403C3⋊Dic3—122no—
404C3⋊Dic3—122no—
405C3⋊Dic3—242no—
406C3⋊Dic3C2×C4×D314yes—
407C3×Dic3—24no—
408C3×Dic3—22no—
409C3×Dic3—22no—
410C3×Dic3—22no—
411C3×Dic3—22no—
412C3×Dic3—22no—
413C3×Dic3—22no—
414C3×Dic3—34no—
415C3×Dic3—34no—
416C3×Dic3—42no—
417C3×Dic3—42no—
418C3×Dic3—64no—
419C22×D4—271no—
420C4×D4—92no—
421C4×D4—272no—
422C4×D4—272no—
423C4×D4—272no—
424#117—272no—
425C2×C22⋊C4—91no—
426C2×C22⋊C4—271no—
427C2×C22⋊C4—272no—
428C33#51811yescharacteristic, complemented, Sylow
429C23×C3—21no—
430C23×C3—22no—
431C23×C3—41no—
432C23×C3—91no—
433C23×C3—92no—
434C23×C3—91no—
435C23×C3—94no—
436C23×C3—362no—
437C23×C3C2×D3211yescharacteristic
438C23×C3C2×D3212yes—
439C22×D3—32no—
440C22×D3—32no—
441C22×D3—32no—
442C22×D3—32no—
443C22×D3—38no—
444C22×D3—61no—
445C22×D3—64no—
446C22×D3—61no—
447C22×D3—62no—
448C22×D3—98no—
449C22×D3—94no—
450C22×D3—122no—
451C22×D3—122no—
452C22×D3—124no—
453C22×D3—362no—
454C22×D3—362no—
455C22×D3—362no—
456C3×D4—98no—
457C2×C3×C4—32no—
458C2×C3×C4—32no—
459C2×C3×C4—32no—
460C2×C3×C4—32no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—62no—
464C2×C3×C4—62no—
465C2×C3×C4—62no—
466C2×C3×C4—92no—
467C2×C3×C4—122no—
468C2×C3×C4—122no—
469C2×C3×C4—124no—
470C2×C3×C4—362no—
471#67—38no—
472#67—38no—
473#67—68no—
474#67—98no—
475#67—98no—
476C2×Dic3—32no—
477C2×Dic3—32no—
478C2×Dic3—42no—
479C2×Dic3—62no—
480C2×Dic3—94no—
481C2×Dic3—92no—
482C2×Dic3—92no—
483C2×Dic3—92no—
484C2×Dic3—182no—
485C2×Dic3—182no—
486C2×Dic3—182no—
487C2×Dic3—362no—
488C2×Dic3—362no—
489C2×Dic3—362no—
490C2×Dic3C2×D3212yes—
491C2×Dic3C2×D3212yes—
492C2×Dic3C2×D3212yes—
493D12—98no—
494C4×D3—98no—
495C4×D3—122no—
496C4×D3—122no—
497C4×D3—362no—
498C4×D3—362no—
499C4×D3—362no—
500C4×D3—362no—
501C4×D3—364no—
502C4×D3—364no—
503C2×C32—22no—
504C2×C32—24no—
505C2×C32—22no—
506C2×C32—21no—
507C2×C32—22no—
508C2×C32—22no—
509C2×C32—22no—
510C2×C32—41no—
511C2×C32—42no—
512C2×C32—42no—
513C2×C32—44no—
514C2×C32—82no—
515C2×C32C22×C4×D311yescharacteristic
516C2×C32C22×C4×D312yes—
517C2×C32#100412yes—
518C2×C32#100412yes—
519C2×C32#100912yes—
520C3⋊D3—22no—
521C3⋊D3—22no—
522C3⋊D3—24no—
523C3×D3—64no—
524C3×D3—64no—
525C3×D3—64no—
526C3×D3—64no—
527C3×D3—64no—
528C3×D3—124no—
529C3×D3—122no—
530C24—91no—
531C24—271no—
532C2×D4—92no—
533C2×D4—272no—
534C2×D4—278no—
535C22×C4—32no—
536C22×C4—92no—
537C22×C4—272no—
538C22×C4—272no—
539C22×C4—271no—
540C4⋊C4—92no—
541C4⋊C4—272no—
542C22⋊C4—31no—
543C22⋊C4—92no—
544C22⋊C4—91no—
545C22⋊C4—91no—
546C22⋊C4—92no—
547C22⋊C4—272no—
548C22⋊C4—272no—
549C22⋊C4—271no—
550C42—92no—
551C42—272no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—21no—
557C22×C3—24no—
558C22×C3—22no—
559C22×C3—42no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3—41no—
563C22×C3—42no—
564C22×C3—82no—
565C22×C3—92no—
566C22×C3—92no—
567C22×C3—94no—
568C22×C3—182no—
569C22×C3—182no—
570C22×C3—182no—
571C22×C3—182no—
572C22×C3—364no—
573C22×C3C4×D3212yes—
574C22×C3C4×D3214yes—
575C22×C3C22×D3212yes—
576C22×C3C22×D3211yescharacteristic
577C2×D3—34no—
578C2×D3—34no—
579C2×D3—34no—
580C2×D3—34no—
581C2×D3—62no—
582C2×D3—64no—
583C2×D3—62no—
584C2×D3—64no—
585C2×D3—62no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—62no—
590C2×D3—62no—
591C2×D3—62no—
592C2×D3—62no—
593C2×D3—122no—
594C2×D3—122no—
595C2×D3—122no—
596C2×D3—128no—
597C2×D3—128no—
598C2×D3—364no—
599C2×D3—368no—
600C3×C4—64no—
601C3×C4—62no—
602C3×C4—62no—
603C3×C4—62no—
604C3×C4—62no—
605C3×C4—62no—
606C3×C4—62no—
607C3×C4—94no—
608C3×C4—122no—
609C3×C4—122no—
610Dic3—22no—
611Dic3—22no—
612Dic3—22no—
613Dic3—34no—
614Dic3—34no—
615Dic3—64no—
616Dic3—182no—
617Dic3—182no—
618Dic3—182no—
619Dic3—362no—
620Dic3—362no—
621Dic3—362no—
622Dic3—722no—
623C32—21no—
624C32—22no—
625C32—41no—
626C32#548611yescharacteristic, complemented
627C32#554512yescomplemented
628C23—91no—
629C23—91no—
630C23—92no—
631C23—94no—
632C23—274no—
633C23—362no—
634C23—1082no—
635C23D3311yescharacteristic
636D4—98no—
637D4—278no—
638C2×C4—32no—
639C2×C4—32no—
640C2×C4—32no—
641C2×C4—92no—
642C2×C4—122no—
643C2×C4—274no—
644C2×C4—272no—
645C2×C4—362no—
646C2×C4—1082no—
647C2×C4—1082no—
648C2×C3—22no—
649C2×C3—24no—
650C2×C3—22no—
651C2×C3—21no—
652C2×C3—22no—
653C2×C3—22no—
654C2×C3—22no—
655C2×C3—42no—
656C2×C3—44no—
657C2×C3—41no—
658C2×C3—42no—
659C2×C3—82no—
660C2×C3—182no—
661C2×C3—182no—
662C2×C3—184no—
663C2×C3C2×C4×D3211yescharacteristic
664C2×C3C2×C4×D3212yes—
665C2×C3#6430712yes—
666C2×C3#6431412yes—
667C2×C3#6433012yes—
668D3—64no—
669D3—64no—
670D3—64no—
671D3—64no—
672D3—64no—
673D3—122no—
674D3—124no—
675C22—22no—
676C22—92no—
677C22—94no—
678C22—92no—
679C22—182no—
680C22—182no—
681C22—182no—
682C22—182no—
683C22—364no—
684C22—1084no—
685C22#8894912yes—
686C22C2×D3311yescharacteristic
687C4—62no—
688C4—62no—
689C4—62no—
690C4—94no—
691C4—542no—
692C3—21no—
693C3—22no—
694C3—41no—
695C3#1059425611yescharacteristic, complemented
696C3#1059505612yescomplemented
697C2—22no—
698C2—182no—
699C2—182no—
700C2—184no—
701C2C2×#8894911yescharacteristic
702C2#1172441812yes—
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC23×C33C23
socle, cosocleC22×C33C24
prime radicalC2×#89049C2
hypercenterC23D33
hypocenterC33#518
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
2. C3⋊D3×#217C2semidirect
3. Dic3×#638C2semidirect
4. C2×C3×#3722C2semidirect
5. C3×#63952C2semidirect
6. #11722938C2semidirect
7. #11722934C2semidirect
8. #11722922C2semidirect
9. #11722905C2semidirect
15. C22×C32×Dic3C22semidirect
16. #89049C4semidirect
19. C2×Dic3×C3⋊D3C22semidirect
20. C2×Dic3×C3⋊D3C22semidirect
21. C2×C3×#624C22semidirect
22. #88864C22semidirect
23. C32×#217C22semidirect
24. #88807C22semidirect
26. #88803C22semidirect
27. Dic3×C3⋊Dic3C22semidirect
28. C3×#3724C22semidirect
30. C3×#3722C22semidirect
31. C3×#3722C22semidirect
32. C3×#3722C22semidirect
33. C3×Dic32C22semidirect
46. C2×#3722D3semidirect
47. #63952D3semidirect
62. C22×C3×C3⋊D3C2×C4semidirect
67. C2×#1113C2×C4semidirect
69. C3×#638C2×C4semidirect
75. #6295C2×C4semidirect
76. #6294C2×C4semidirect
95. C22×C3×Dic3C2×D3semidirect
96. C22×C3×Dic3C2×D3semidirect
105. C2×#624C2×D3semidirect
124. C3×#217C2×D3semidirect
135. #3724C2×D3semidirect
140. #3722C2×D3semidirect
141. #3722C2×D3semidirect
142. #3722C2×D3semidirect
152. Dic32C2×D3semidirect
202. C22×C3⋊D3C4×D3semidirect
227. #638C4×D3semidirect
296. C22×Dic3D32semidirect
323. #217D32semidirect
428. C33#518semidirect
626. C32#5486semidirect
627. C32#5545semidirect
695. C3#10594256semidirect
696. C3#10595056semidirect

Maximal subgroups

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

subgroupindex
C2×#890492
C3⋊D3×#2172
Dic3×#6382
C2×C3×#37222
C3×#639522
#117229382
#117229342
#117229222
#117229052
#105950563
#105942563