Finite Group Databasebeta

← #13161821

Subgroups — #13161821

Order 1728.

978 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3828C211yesmaximal, characteristic
2C3×#64135C211yesmaximal, characteristic, complemented
3C2×C3×#3748C211yesmaximal, characteristic, complemented
4#11722077C214yesmaximal, complemented
5#10591113—31nomaximal
6#10591111—31nomaximal
7#10591110—31nomaximal
8C22×C33×C4C2211yescharacteristic
9C2×C3×#638—21no—
10C3×#3828—21no—
11C3×#3828—21no—
12C3×#3828C412yescomplemented
13C3×#3828C2212yes—
14C2×C3×C4⋊(C3⋊D3)C411yescharacteristic, complemented
15C2×C3×C4×C3⋊D3—21no—
16C2×C3×#634C411yescharacteristic, complemented
17C3×#3757—21no—
18C3×C4⋊(C3⋊Dic3)—21no—
19C3×C4×C3⋊Dic3C2212yescomplemented
20C3×#3748—21no—
21C3×#3748C2212yescomplemented
22C2×C3×C3⋊(C3⋊C8)—21no—
23C2×#3828D311yescharacteristic
24C2×C3×#235—31no—
25C2×C3×#235—31no—
26C2×C3×#235—61no—
27#64135D311yescharacteristic, complemented
28C2×#3748D311yescharacteristic, complemented
29C3×#926—31no—
30C3×#926—31no—
31C3×#926—61no—
32C2×C3×#208—31no—
33C2×C3×#208—31no—
34C2×C3×#208—61no—
35#63570—34no—
36#63569—34no—
37#63568—34no—
38C23×C33D411yescharacteristic
39C22×C3×C3⋊D3—21no—
40C2×C33×C4C2×C411yescharacteristic
41C2×C33×C4C2×C411yescharacteristic
42C2×C33×C4D411yescharacteristic
43C2×C33×C4D411yescharacteristic
44C2×C33×C4D411yescharacteristic
45C2×C33×C4C2311yescharacteristic
46C3×#638—22no—
47C3×#638—22no—
48C2×C3×C3⋊Dic3—21no—
49C2×C3×C3⋊Dic3—22no—
50C3×C4⋊(C3⋊D3)—21no—
51C3×C4⋊(C3⋊D3)C2×C412yes—
52C3×C4×C3⋊D3—22no—
53C3×C4×C3⋊D3—22no—
54C3×#634—21no—
55C3×#634C2×C412yes—
56C3×C3⋊(C3⋊C8)—22no—
57#5236—91no—
58#5139—91no—
59#5005—91no—
60C22×C32×C4—21no—
61C22×C32×C4—21no—
62C22×C32×C4—21no—
63C22×C32×C4—41no—
64C22×C32×C4C2×D311yescharacteristic
65C22×C32×C4C2×D311yescharacteristic
66C22×C32×C4C2×D311yescharacteristic
67C2×#638—21no—
68#3828—21no—
69#3828—21no—
70#3828Dic312yescomplemented
71#3828C2×D312yes—
72C2×C4⋊(C3⋊D3)Dic311yescharacteristic, complemented
73C2×C4×C3⋊D3—21no—
74C2×#634Dic311yescharacteristic, complemented
75C2×C3×#67—62no—
76C2×C3×#67—61no—
77C2×C3×#67—61no—
78C3×#235—32no—
79C3×#235—32no—
80C3×#235—32no—
81C3×#235—32no—
82C3×#235—62no—
83C3×#235—62no—
84C3×#235—62no—
85C3×#235—62no—
86C3×#235—61no—
87C3×#235—61no—
88C3×#235—61no—
89C3×#235—61no—
90C2×C3×D12—31no—
91C2×C3×D12—31no—
92C2×C3×D12—61no—
93C2×C3×C4×D3—62no—
94C2×C3×C4×D3—61no—
95C2×C3×C4×D3—61no—
96C2×C3×Dic6—31no—
97C2×C3×Dic6—31no—
98C2×C3×Dic6—61no—
99#3757—21no—
100C4⋊(C3⋊Dic3)—21no—
101C4×C3⋊Dic3C2×D312yescomplemented
102#3748—21no—
103#3748C2×D312yescomplemented
104C2×C3⋊(C3⋊C8)—21no—
105C3×#217—62no—
106C3×#217—61no—
107C3×#217—61no—
108C3×C4⋊Dic3—62no—
109C3×C4⋊Dic3—61no—
110C3×C4⋊Dic3—61no—
111C3×C4×Dic3—32no—
112C3×C4×Dic3—32no—
113C3×C4×Dic3—62no—
114C3×#208—32no—
115C3×#208—32no—
116C3×#208—62no—
117C3×#208—62no—
118C3×#208—61no—
119C3×#208—61no—
120C2×C3×C3⋊C8—62no—
121C2×C3×C3⋊C8—61no—
122C2×C3×C3⋊C8—61no—
123C22×C33—41no—
124C22×C33C22⋊C411yescharacteristic
125C22×C33C22⋊C411yescharacteristic
126C22×C33C2×D411yescharacteristic
127C2×C3×C3⋊D3—22no—
128C2×C3×C3⋊D3—42no—
129C33×C4C22⋊C411yescharacteristic
130C33×C4C22⋊C411yescharacteristic
131C33×C4C22×C411yescharacteristic
132C33×C4C2×D411yescharacteristic
133C3×C3⋊Dic3—22no—
134C3×C3⋊Dic3—42no—
135C2×C3×#41—91no—
136C2×#235—31no—
137C2×#235—31no—
138C2×#235—61no—
139C2×C3×M16—91no—
140C3×#117—91no—
141#926—31no—
142#926—31no—
143#926—61no—
144C2×#208—31no—
145C2×#208—31no—
146C2×#208—61no—
147#837—94no—
148#825—94no—
149#805—94no—
150C23×C32—21no—
151C23×C32—21no—
152C23×C32—21no—
153C23×C32—41no—
154C23×C32D1211yescharacteristic
155C23×C32#6711yescharacteristic
156C23×C32#6711yescharacteristic
157C22×C3⋊D3—21no—
158C22×C3×D3—62no—
159C22×C3×D3—61no—
160C22×C3×D3—61no—
161C2×C32×C4—21no—
162C2×C32×C4—21no—
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—21no—
166C2×C32×C4—21no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4—21no—
178C2×C32×C4—21no—
179C2×C32×C4—41no—
180C2×C32×C4—41no—
181C2×C32×C4—41no—
182C2×C32×C4—41no—
183C2×C32×C4—41no—
184C2×C32×C4—41no—
185C2×C32×C4C4×D311yescharacteristic
186C2×C32×C4C4×D311yescharacteristic
187C2×C32×C4C4×D311yescharacteristic
188C2×C32×C4C4×D311yescharacteristic
189C2×C32×C4D1211yescharacteristic
190C2×C32×C4D1211yescharacteristic
191C2×C32×C4D1211yescharacteristic
192C2×C32×C4C2×Dic311yescharacteristic
193C2×C32×C4C2×Dic311yescharacteristic
194C2×C32×C4#6711yescharacteristic
195C2×C32×C4#6711yescharacteristic
196C2×C32×C4#6711yescharacteristic
197C2×C32×C4#6711yescharacteristic
198C2×C32×C4#6711yescharacteristic
199C2×C32×C4#6711yescharacteristic
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C22×D311yescharacteristic
203#638—22no—
204#638—22no—
205C2×C3⋊Dic3—21no—
206C2×C3⋊Dic3—22no—
207C4⋊(C3⋊D3)—21no—
208C4⋊(C3⋊D3)C2×Dic312yes—
209C4×C3⋊D3—22no—
210C4×C3⋊D3—22no—
211#634—21no—
212#634C2×Dic312yes—
213C3×#67—64no—
214C3×#67—64no—
215C3×#67—62no—
216C3×#67—62no—
217C3×#67—62no—
218C3×#67—62no—
219C2×C3×Dic3—62no—
220C2×C3×Dic3—61no—
221C2×C3×Dic3—61no—
222C2×C3×Dic3—64no—
223C2×C3×Dic3—62no—
224C2×C3×Dic3—62no—
225C3×D12—32no—
226C3×D12—32no—
227C3×D12—62no—
228C3×D12—62no—
229C3×D12—61no—
230C3×D12—61no—
231C3×C4×D3—64no—
232C3×C4×D3—64no—
233C3×C4×D3—62no—
234C3×C4×D3—62no—
235C3×C4×D3—62no—
236C3×C4×D3—62no—
237C3×Dic6—32no—
238C3×Dic6—32no—
239C3×Dic6—62no—
240C3×Dic6—62no—
241C3×Dic6—61no—
242C3×Dic6—61no—
243C3⋊(C3⋊C8)—22no—
244C3×C3⋊C8—64no—
245C3×C3⋊C8—62no—
246C3×C3⋊C8—62no—
247#421—271noSylow
248C2×C33—21no—
249C2×C33—21no—
250C2×C33—21no—
251C2×C33C2×C22⋊C411yescharacteristic
252C3×C3⋊D3—42no—
253C3×#41—92no—
254C3×#41—92no—
255C3×#41—181no—
256C3×#41—181no—
257C2×C3×Q8—91no—
258C2×C3×D4—91no—
259C2×C3×D4—181no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—41no—
264C22×C3×C4—181no—
265C22×C3×C4D3211yescharacteristic
266C22×C3×C4D3211yescharacteristic
267C22×C3×C4D3211yescharacteristic
268C2×#67—62no—
269C2×#67—61no—
270C2×#67—61no—
271#235—32no—
272#235—32no—
273#235—32no—
274#235—32no—
275#235—62no—
276#235—62no—
277#235—62no—
278#235—62no—
279#235—61no—
280#235—61no—
281#235—61no—
282#235—61no—
283C2×D12—31no—
284C2×D12—31no—
285C2×D12—61no—
286C2×C4×D3—62no—
287C2×C4×D3—61no—
288C2×C4×D3—61no—
289C2×Dic6—31no—
290C2×Dic6—31no—
291C2×Dic6—61no—
292C3×M16—92no—
293C3×M16—181no—
294C2×C3×C8—181no—
295C3×C4⋊C4—181no—
296C3×C22⋊C4—181no—
297C3×C42—92no—
298#217—62no—
299#217—61no—
300#217—61no—
301C4⋊Dic3—62no—
302C4⋊Dic3—61no—
303C4⋊Dic3—61no—
304C4×Dic3—32no—
305C4×Dic3—32no—
306C4×Dic3—62no—
307#208—32no—
308#208—32no—
309#208—62no—
310#208—62no—
311#208—61no—
312#208—61no—
313C2×C3⋊C8—62no—
314C2×C3⋊C8—61no—
315C2×C3⋊C8—61no—
316C22×C32—21no—
317C22×C32—21no—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—21no—
321C22×C32—21no—
322C22×C32—21no—
323C22×C32—21no—
324C22×C32—21no—
325C22×C32—41no—
326C22×C32—41no—
327C22×C32—41no—
328C22×C32—41no—
329C22×C32—41no—
330C22×C32—41no—
331C22×C32—42no—
332C22×C32—42no—
333C22×C32—42no—
334C22×C32—44no—
335C22×C32(C2×D3)⋊C411yescharacteristic
336C22×C32(C2×D3)⋊C411yescharacteristic
337C22×C32(C2×D3)⋊C411yescharacteristic
338C22×C32(C2×D3)⋊C411yescharacteristic
339C22×C32#21711yescharacteristic
340C22×C32#21711yescharacteristic
341C22×C32C2×D1211yescharacteristic
342C22×C32C2×#6711yescharacteristic
343C22×C32C2×#6711yescharacteristic
344C2×C3⋊D3—22no—
345C2×C3⋊D3—42no—
346C2×C3×D3—64no—
347C2×C3×D3—62no—
348C2×C3×D3—62no—
349C2×C3×D3—124no—
350C2×C3×D3—122no—
351C2×C3×D3—122no—
352C32×C4—21no—
353C32×C4—21no—
354C32×C4—21no—
355C32×C4—21no—
356C32×C4—21no—
357C32×C4—21no—
358C32×C4—21no—
359C32×C4—21no—
360C32×C4—21no—
361C32×C4—21no—
362C32×C4—21no—
363C32×C4—21no—
364C32×C4—41no—
365C32×C4—41no—
366C32×C4—41no—
367C32×C4—41no—
368C32×C4(C2×D3)⋊C411yescharacteristic
369C32×C4(C2×D3)⋊C411yescharacteristic
370C32×C4(C2×D3)⋊C411yescharacteristic
371C32×C4(C2×D3)⋊C411yescharacteristic
372C32×C4#21711yescharacteristic
373C32×C4#21711yescharacteristic
374C32×C4C2×C4×D311yescharacteristic
375C32×C4C2×C4×D311yescharacteristic
376C32×C4C2×D1211yescharacteristic
377C32×C4C22×Dic311yescharacteristic
378C32×C4C2×#6711yescharacteristic
379C32×C4C2×#6711yescharacteristic
380C3⋊Dic3—22no—
381C3⋊Dic3—42no—
382C3×Dic3—64no—
383C3×Dic3—62no—
384C3×Dic3—62no—
385C3×Dic3—124no—
386C3×Dic3—122no—
387C3×Dic3—122no—
388C2×#41—91no—
389C2×M16—91no—
390#117—91no—
391#104—274no—
392C33#42111yescharacteristic, complemented, Sylow
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—41no—
397C23×C3—181no—
398C23×C3#62511yescharacteristic
399C23×C3#62611yescharacteristic
400C23×C3#62611yescharacteristic
401C22×D3—62no—
402C22×D3—61no—
403C22×D3—61no—
404C3×Q8—92no—
405C3×Q8—181no—
406C3×D4—92no—
407C3×D4—182no—
408C3×D4—182no—
409C3×D4—181no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—181no—
435C2×C3×C4—182no—
436C2×C3×C4—182no—
437C2×C3×C4—182no—
438C2×C3×C4D3×Dic311yescharacteristic
439C2×C3×C4D3×Dic311yescharacteristic
440C2×C3×C4D3×Dic311yescharacteristic
441C2×C3×C4D3×Dic311yescharacteristic
442C2×C3×C4#62411yescharacteristic
443C2×C3×C4#62411yescharacteristic
444C2×C3×C4#62511yescharacteristic
445C2×C3×C4#62511yescharacteristic
446C2×C3×C4#62511yescharacteristic
447C2×C3×C4#62611yescharacteristic
448C2×C3×C4#62611yescharacteristic
449C2×C3×C4#62611yescharacteristic
450C2×C3×C4#62611yescharacteristic
451C2×C3×C4#62611yescharacteristic
452C2×C3×C4#62611yescharacteristic
453C2×C3×C4C2×D3211yescharacteristic
454C2×C3×C4C2×D3211yescharacteristic
455C2×C3×C4C2×D3211yescharacteristic
456#67—64no—
457#67—64no—
458#67—62no—
459#67—62no—
460#67—62no—
461#67—62no—
462C2×Dic3—62no—
463C2×Dic3—61no—
464C2×Dic3—61no—
465C2×Dic3—64no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468D12—32no—
469D12—32no—
470D12—62no—
471D12—62no—
472D12—61no—
473D12—61no—
474C4×D3—64no—
475C4×D3—64no—
476C4×D3—62no—
477C4×D3—62no—
478C4×D3—62no—
479C4×D3—62no—
480Dic6—32no—
481Dic6—32no—
482Dic6—62no—
483Dic6—62no—
484Dic6—61no—
485Dic6—61no—
486C3×C8—182no—
487C3⋊C8—64no—
488C3⋊C8—62no—
489C3⋊C8—62no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—21no—
493C2×C32—22no—
494C2×C32—22no—
495C2×C32—22no—
496C2×C32—21no—
497C2×C32—21no—
498C2×C32—21no—
499C2×C32—21no—
500C2×C32—21no—
501C2×C32—21no—
502C2×C32—21no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32—41no—
506C2×C32—41no—
507C2×C32—41no—
508C2×C32—41no—
509C2×C32—41no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—42no—
513C2×C32—42no—
514C2×C32—42no—
515C2×C32C2×(C2×D3)⋊C411yescharacteristic
516C2×C32C2×(C2×D3)⋊C411yescharacteristic
517C2×C32C2×#21711yescharacteristic
518C3⋊D3—42no—
519C3×D3—124no—
520C3×D3—122no—
521C3×D3—122no—
522#41—92no—
523#41—92no—
524#41—181no—
525#41—181no—
526C2×Q8—91no—
527C2×D4—91no—
528C2×D4—181no—
529C22×C4—181no—
530C22×C4#111311yescharacteristic
531M16—92no—
532M16—181no—
533C2×C8—181no—
534C4⋊C4—181no—
535C22⋊C4—181no—
536C42—92no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—41no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—44no—
553C22×C3—41no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—182no—
557C22×C3—362no—
558C22×C3(C2×D3)⋊Dic311yescharacteristic
559C22×C3(C2×D3)⋊Dic311yescharacteristic
560C22×C3(C2×D3)⋊Dic311yescharacteristic
561C22×C3(C2×D3)⋊Dic311yescharacteristic
562C22×C3#372211yescharacteristic
563C22×C3#372211yescharacteristic
564C22×C3C2×#62511yescharacteristic
565C22×C3C2×#62611yescharacteristic
566C22×C3C2×#62611yescharacteristic
567C2×D3—64no—
568C2×D3—62no—
569C2×D3—62no—
570C2×D3—124no—
571C2×D3—122no—
572C2×D3—122no—
573C3×C4—21no—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—21no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—41no—
586C3×C4—41no—
587C3×C4—41no—
588C3×C4—41no—
589C3×C4—182no—
590C3×C4—362no—
591C3×C4(C2×D3)⋊Dic311yescharacteristic
592C3×C4(C2×D3)⋊Dic311yescharacteristic
593C3×C4(C2×D3)⋊Dic311yescharacteristic
594C3×C4(C2×D3)⋊Dic311yescharacteristic
595C3×C4#372211yescharacteristic
596C3×C4#372211yescharacteristic
597C3×C4C2×D3×Dic311yescharacteristic
598C3×C4C2×D3×Dic311yescharacteristic
599C3×C4C2×#62411yescharacteristic
600C3×C4C2×#62511yescharacteristic
601C3×C4C2×#62611yescharacteristic
602C3×C4C2×#62611yescharacteristic
603Dic3—64no—
604Dic3—62no—
605Dic3—62no—
606Dic3—124no—
607Dic3—122no—
608Dic3—122no—
609C32—21no—
610C32—21no—
611C32—21no—
612C32—41no—
613C32#500511yescharacteristic, complemented
614C32#513911yescharacteristic, complemented
615C32#523611yescharacteristic, complemented
616C23—181no—
617C23#629511yescharacteristic
618Q8—92no—
619Q8—181no—
620D4—92no—
621D4—182no—
622D4—182no—
623D4—181no—
624C2×C4—181no—
625C2×C4—182no—
626C2×C4—182no—
627C2×C4—182no—
628C2×C4#629411yescharacteristic
629C2×C4#629411yescharacteristic
630C2×C4#629511yescharacteristic
631C2×C4#629511yescharacteristic
632C2×C4#629511yescharacteristic
633C2×C4C2×#111311yescharacteristic
634C8—182no—
635C2×C3—22no—
636C2×C3—22no—
637C2×C3—22no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—41no—
651C2×C3—41no—
652C2×C3—41no—
653C2×C3—41no—
654C2×C3—41no—
655C2×C3—41no—
656C2×C3—42no—
657C2×C3—42no—
658C2×C3—42no—
659C2×C3—41no—
660C2×C3—362no—
661C2×C3C2×(C2×D3)⋊Dic311yescharacteristic
662C2×C3C2×(C2×D3)⋊Dic311yescharacteristic
663C2×C3C2×#372211yescharacteristic
664D3—124no—
665D3—122no—
666D3—122no—
667C22—41no—
668C22—182no—
669C22—362no—
670C22#8881411yescharacteristic
671C22#8881411yescharacteristic
672C22C2×#629511yescharacteristic
673C4—182no—
674C4—362no—
675C4#8881411yescharacteristic
676C4#8881411yescharacteristic
677C4C2×#629411yescharacteristic
678C4C2×#629511yescharacteristic
679C3—21no—
680C3—21no—
681C3—21no—
682C3—41no—
683C3#1059111011yescharacteristic, complemented
684C3#1059111111yescharacteristic, complemented
685C3#1059111311yescharacteristic, complemented
686C2—21no—
687C2—21no—
688C2—21no—
689C2—362no—
690C2C2×#8881411yescharacteristic
subgroupG/H
centerC4C2×#6295
commutatorC33×C4C22×C4
FrattiniC2×C4C2×#1113
FittingC22×C33×C4C22
socleC2×C33C2×C22⋊C4
prime radicalC2×C3×#3828C2
cosocleC2×C33×C4C23
hypercenterC22×C4#1113
hypocenterC33#421
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
2. C3×#64135C2semidirect
3. C2×C3×#3748C2semidirect
4. #11722077C2semidirect
12. C3×#3828C4semidirect
14. C2×C3×C4⋊(C3⋊D3)C4semidirect
16. C2×C3×#634C4semidirect
19. C3×C4×C3⋊Dic3C22semidirect
21. C3×#3748C22semidirect
27. #64135D3semidirect
28. C2×#3748D3semidirect
70. #3828Dic3semidirect
72. C2×C4⋊(C3⋊D3)Dic3semidirect
74. C2×#634Dic3semidirect
101. C4×C3⋊Dic3C2×D3semidirect
103. #3748C2×D3semidirect
392. C33#421semidirect
613. C32#5005semidirect
614. C32#5139semidirect
615. C32#5236semidirect
683. C3#10591110semidirect
684. C3#10591111semidirect
685. C3#10591113semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C3×#641352
C2×C3×#37482
#117220772
#105911133
#105911113
#105911103