Finite Group Databasebeta

← C3×#10595045 #13174629

Subgroups — C3×#10595045 #13174629

Order 1728.

1866 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C32×#235C211yesmaximal, characteristic, complemented
3C32×#926C211yesmaximal, characteristic, complemented
4C3×#63981C214yesmaximal, complemented
5C3×#63911C212yesmaximal, complemented
6C3×#63909C214yesmaximal, complemented
7C3×#63864C212yesmaximal, complemented
8C3×#5830—31nomaximal
9C3×#5525—31nomaximal
10#10595045C311yesmaximal, characteristic, direct product factor
11C23×C3×C3⋊D3C2212yes—
12C22×C33×C4C2211yescharacteristic
13C2×C3×C4⋊(C3⋊D3)—24no—
14C2×C3×C4⋊(C3⋊D3)C2212yes—
15C2×C3×C4⋊(C3⋊D3)C2212yes—
16C2×C32×#67C2212yes—
17C32×#235—24no—
18C2×C32×D12C2211yescharacteristic, complemented
19C2×C32×C4×D3C2212yescomplemented
20C2×C32×Dic6C2211yescharacteristic, complemented
21C2×C3×#626C2218yescomplemented
22C32×#217C2212yes—
23C32×C4⋊Dic3C2212yescomplemented
24C32×C4×Dic3C2212yescomplemented
25C3×#3722C2218yescomplemented
26C2×C32×#41—31no—
27C22×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
28C2×C3×#235—21no—
29C2×C3×#235D311yescharacteristic, complemented
30C2×C3×#235C2×C311yescharacteristic, complemented
31C22×C3×D12—31no—
32C22×C3×D12—31no—
33C22×C3×D12—61no—
34C32×#117—31no—
35C3×#947—32no—
36C3×#940—32no—
37C3×#937—34no—
38C3×#930—34no—
39C3×#926—21no—
40C3×#926D311yescharacteristic, complemented
41C3×#926C2×C311yescharacteristic, complemented
42C3×#895—34no—
43C3×#882—34no—
44C3×#875—32no—
45C3×#874—32no—
46#63981C2×C314yescomplemented
47#63911C2×C312yescomplemented
48#63909C2×C314yescomplemented
49#63864C2×C312yescomplemented
50C23×C33C2311yescharacteristic
51C22×C3×C3⋊D3—24no—
52C22×C3×C3⋊D3—44no—
53C22×C3×C3⋊D3C2314yes—
54C22×C32×D3C2312yes—
55C2×C33×C4D414yescomplemented
56C2×C33×C4C2311yescharacteristic
57C2×C33×C4C2311yescharacteristic
58C3×C4⋊(C3⋊D3)—24no—
59C3×C4⋊(C3⋊D3)—24no—
60C32×#67—24no—
61C2×C32×Dic3C2314yes—
62C2×C32×Dic3C2312yes—
63C32×D12—22no—
64C32×C4×D3—24no—
65C32×Dic6—22no—
66C3×#626—48no—
67C3×#535—91no—
68#5830—31no—
69#5525—31no—
70C23×C3⋊D3C22×C312yes—
71C23×C3×D3—32no—
72C23×C3×D3—32no—
73C23×C3×D3—62no—
74C32×#41—64no—
75C2×C32×Q8—31no—
76C2×C32×D4—32no—
77C2×C32×D4—31no—
78C22×C32×C4—21no—
79C22×C32×C4—21no—
80C22×C32×C4—21no—
81C22×C32×C4—32no—
82C22×C32×C4—41no—
83C22×C32×C4C2×D311yescharacteristic
84C22×C32×C4C2×D311yescharacteristic
85C22×C32×C4C22×C311yescharacteristic
86C2×C4⋊(C3⋊D3)—24no—
87C2×C4⋊(C3⋊D3)C22×C312yes—
88C2×C4⋊(C3⋊D3)C22×C312yes—
89C2×C3×#67—22no—
90C2×C3×#67—38no—
91C2×C3×#67C2×D312yes—
92C2×C3×#67C22×C312yes—
93C3×#235—28no—
94C3×#235—24no—
95C3×#235—24no—
96C2×C3×D12—21no—
97C2×C3×D12—32no—
98C2×C3×D12—32no—
99C2×C3×D12—32no—
100C2×C3×D12—32no—
101C2×C3×D12—38no—
102C2×C3×D12—62no—
103C2×C3×D12—62no—
104C2×C3×D12—68no—
105C2×C3×D12—64no—
106C2×C3×D12—64no—
107C2×C3×D12C2×D311yescharacteristic, complemented
108C2×C3×D12C22×C311yescharacteristic, complemented
109C2×C3×C4×D3—22no—
110C2×C3×C4×D3C2×D312yescomplemented
111C2×C3×C4×D3C22×C312yescomplemented
112C2×C3×Dic6—21no—
113C2×C3×Dic6C2×D311yescharacteristic, complemented
114C2×C3×Dic6C22×C311yescharacteristic, complemented
115C2×#626C22×C318yescomplemented
116C32×C4⋊C4—32no—
117C32×C22⋊C4—32no—
118C32×C42—32no—
119C3×#217—22no—
120C3×#217C2×D312yes—
121C3×#217C22×C312yes—
122C3×(C2×D3)⋊C4—38no—
123C3×(C2×D3)⋊C4—38no—
124C3×C4⋊Dic3—22no—
125C3×C4⋊Dic3C2×D312yescomplemented
126C3×C4⋊Dic3C22×C312yescomplemented
127C3×C4×Dic3—22no—
128C3×C4×Dic3C2×D312yescomplemented
129C3×C4×Dic3C22×C312yescomplemented
130#3722C22×C318yescomplemented
131C22×C33—22no—
132C22×C33C2×D412yes—
133C22×C33C2411yescharacteristic
134C2×C3×C3⋊D3—24no—
135C2×C3×C3⋊D3—28no—
136C2×C3×C3⋊D3—48no—
137C2×C32×D3—22no—
138C2×C32×D3—24no—
139C33×C4C2×D412yes—
140C33×C4C2×D412yes—
141C32×Dic3—22no—
142C32×Dic3—24no—
143C2×C3×#41—31no—
144C2×C3×#41—31no—
145C2×C3×#41—61no—
146C22×C3×D4—91no—
147C2×#235C3×D311yescharacteristic, complemented
148C22×D12—31no—
149C22×D12—31no—
150C22×D12—61no—
151C3×#127—92no—
152C3×#124—92no—
153C3×#121—94no—
154C3×#120—94no—
155C3×#117—31no—
156C3×#117—31no—
157C3×#117—61no—
158#947—32no—
159#940—32no—
160#937—34no—
161#930—34no—
162#926C3×D311yescharacteristic, complemented
163#895—34no—
164#882—34no—
165#875—32no—
166#874—32no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—32no—
171C23×C32—41no—
172C23×C32C22×D311yescharacteristic
173C23×C32C22×D311yescharacteristic
174C23×C32C23×C311yescharacteristic
175C22×C3⋊D3—24no—
176C22×C3⋊D3—44no—
177C22×C3⋊D3C23×C314yes—
178C22×C3×D3—22no—
179C22×C3×D3—34no—
180C22×C3×D3—34no—
181C22×C3×D3—64no—
182C22×C3×D3—68no—
183C22×C3×D3—64no—
184C22×C3×D3—64no—
185C22×C3×D3—124no—
186C22×C3×D3—124no—
187C22×C3×D3—128no—
188C22×C3×D3C22×D312yes—
189C22×C3×D3C23×C312yes—
190C32×Q8—62no—
191C32×D4—64no—
192C32×D4—62no—
193C2×C32×C4—24no—
194C2×C32×C4—24no—
195C2×C32×C4—24no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—32no—
203C2×C32×C4—34no—
204C2×C32×C4—44no—
205C2×C32×C4—41no—
206C2×C32×C4—41no—
207C2×C32×C4—64no—
208C2×C32×C4D1214yescomplemented
209C2×C32×C4#6714yescomplemented
210C2×C32×C4C3×D414yescomplemented
211C2×C32×C4C22×D311yescharacteristic
212C2×C32×C4C22×D311yescharacteristic
213C2×C32×C4C22×D311yescharacteristic
214C2×C32×C4C22×D311yescharacteristic
215C2×C32×C4C23×C311yescharacteristic
216C2×C32×C4C23×C311yescharacteristic
217C4⋊(C3⋊D3)—24no—
218C4⋊(C3⋊D3)—24no—
219C3×#67—28no—
220C3×#67—24no—
221C3×#67—24no—
222C3×#67—128no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3—24no—
225C2×C3×Dic3C22×D314yes—
226C2×C3×Dic3C22×D312yes—
227C2×C3×Dic3C23×C312yes—
228C2×C3×Dic3C23×C314yes—
229C3×D12—24no—
230C3×D12—22no—
231C3×D12—22no—
232C3×D12—68no—
233C3×D12—68no—
234C3×D12—64no—
235C3×D12—64no—
236C3×D12—64no—
237C3×D12—64no—
238C3×D12—128no—
239C3×C4×D3—28no—
240C3×C4×D3—24no—
241C3×C4×D3—24no—
242C3×Dic6—24no—
243C3×Dic6—22no—
244C3×Dic6—22no—
245#626—48no—
246#535—91noSylow
247C2×C33—22no—
248C2×C33C22×D411yescharacteristic
249C2×C33H(5,𝔽2)12yes—
250C3×C3⋊D3—44no—
251C32×D3—42no—
252C24×C3—92no—
253C23×D3—32no—
254C23×D3—32no—
255C23×D3—62no—
256C3×#41—68no—
257C3×#41—64no—
258C3×#41—64no—
259C2×C3×Q8—31no—
260C2×C3×Q8—31no—
261C2×C3×Q8—61no—
262C2×C3×D4—32no—
263C2×C3×D4—32no—
264C2×C3×D4—31no—
265C2×C3×D4—31no—
266C2×C3×D4—61no—
267C2×C3×D4—62no—
268C2×C3×D4—98no—
269C2×C3×D4—92no—
270C2×C3×D4—92no—
271C2×C3×D4—184no—
272C22×C3×C4—21no—
273C22×C3×C4—21no—
274C22×C3×C4—21no—
275C22×C3×C4—32no—
276C22×C3×C4—32no—
277C22×C3×C4—41no—
278C22×C3×C4—62no—
279C22×C3×C4D3211yescharacteristic
280C22×C3×C4C2×C3×D311yescharacteristic
281C22×C3×C4C2×C3×D311yescharacteristic
282C2×#67—38no—
283C2×#67C2×C3×D312yes—
284#235—24no—
285C2×D12—32no—
286C2×D12—32no—
287C2×D12—32no—
288C2×D12—32no—
289C2×D12—38no—
290C2×D12—62no—
291C2×D12—62no—
292C2×D12—68no—
293C2×D12—64no—
294C2×D12—64no—
295C2×D12C2×C3×D311yescharacteristic, complemented
296C2×C4×D3C2×C3×D312yescomplemented
297C2×Dic6C2×C3×D311yescharacteristic, complemented
298C3×C4⋊C4—32no—
299C3×C4⋊C4—32no—
300C3×C4⋊C4—62no—
301C3×C22⋊C4—32no—
302C3×C22⋊C4—32no—
303C3×C22⋊C4—62no—
304C3×C22⋊C4—98no—
305C3×C42—32no—
306C3×C42—32no—
307C3×C42—62no—
308#217C2×C3×D312yes—
309(C2×D3)⋊C4—38no—
310(C2×D3)⋊C4—38no—
311C4⋊Dic3C2×C3×D312yescomplemented
312C4×Dic3C2×C3×D312yescomplemented
313C22×C32—22no—
314C22×C32—24no—
315C22×C32—22no—
316C22×C32—22no—
317C22×C32—21no—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—22no—
321C22×C32—22no—
322C22×C32—22no—
323C22×C32—42no—
324C22×C32—41no—
325C22×C32—42no—
326C22×C32—42no—
327C22×C32—44no—
328C22×C32—62no—
329C22×C32—64no—
330C22×C32C2×D1212yes—
331C22×C32C2×#6712yes—
332C22×C32C2×C3×D412yes—
333C22×C32C23×D311yescharacteristic
334C22×C32C23×D311yescharacteristic
335C22×C32C24×C311yescharacteristic
336C2×C3⋊D3—24no—
337C2×C3⋊D3—28no—
338C2×C3⋊D3—48no—
339C2×C3×D3—24no—
340C2×C3×D3—24no—
341C2×C3×D3—22no—
342C2×C3×D3—22no—
343C2×C3×D3—24no—
344C2×C3×D3—44no—
345C2×C3×D3—68no—
346C2×C3×D3—64no—
347C2×C3×D3—68no—
348C2×C3×D3—68no—
349C2×C3×D3—64no—
350C2×C3×D3—128no—
351C2×C3×D3—1216no—
352C2×C3×D3—128no—
353C2×C3×D3—128no—
354C32×C4—22no—
355C32×C4—22no—
356C32×C4—22no—
357C32×C4—22no—
358C32×C4—22no—
359C32×C4—22no—
360C32×C4—42no—
361C32×C4—42no—
362C32×C4—62no—
363C32×C4—64no—
364C32×C4C2×D1212yes—
365C32×C4C2×D1212yes—
366C32×C4C2×#6712yes—
367C32×C4C2×#6712yes—
368C32×C4C2×C3×D412yes—
369C32×C4C2×C3×D412yes—
370C3×Dic3—24no—
371C3×Dic3—24no—
372C3×Dic3—22no—
373C3×Dic3—22no—
374C3×Dic3—24no—
375C3×Dic3—44no—
376C2×#41—31no—
377C22×D4—91no—
378#127—92no—
379#124—92no—
380#121—94no—
381#120—94no—
382#117—31no—
383C33#53511yescharacteristic, complemented, Sylow
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—32no—
388C23×C3—32no—
389C23×C3—41no—
390C23×C3—62no—
391C23×C3—94no—
392C23×C3—184no—
393C23×C3—364no—
394C23×C3C2×D3211yescharacteristic
395C23×C3C22×C3×D311yescharacteristic
396C23×C3C22×C3×D311yescharacteristic
397C22×D3—34no—
398C22×D3—34no—
399C22×D3—64no—
400C22×D3—68no—
401C22×D3—64no—
402C22×D3—64no—
403C22×D3—124no—
404C22×D3—124no—
405C22×D3—128no—
406C22×D3C22×C3×D312yes—
407C3×Q8—64no—
408C3×Q8—62no—
409C3×Q8—62no—
410C3×D4—64no—
411C3×D4—68no—
412C3×D4—64no—
413C3×D4—64no—
414C3×D4—62no—
415C3×D4—62no—
416C3×D4—184no—
417C3×D4—184no—
418C3×D4—368no—
419C2×C3×C4—24no—
420C2×C3×C4—24no—
421C2×C3×C4—24no—
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—34no—
429C2×C3×C4—32no—
430C2×C3×C4—32no—
431C2×C3×C4—34no—
432C2×C3×C4—44no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—62no—
436C2×C3×C4—64no—
437C2×C3×C4—68no—
438C2×C3×C4—64no—
439C2×C3×C4—64no—
440C2×C3×C4#62614yescomplemented
441C2×C3×C4C3×D1214yescomplemented
442C2×C3×C4C3×#6714yescomplemented
443C2×C3×C4C2×D3211yescharacteristic
444C2×C3×C4C2×D3211yescharacteristic
445C2×C3×C4C22×C3×D311yescharacteristic
446C2×C3×C4C22×C3×D311yescharacteristic
447C2×C3×C4C22×C3×D311yescharacteristic
448C2×C3×C4C22×C3×D311yescharacteristic
449#67—24no—
450#67—128no—
451C2×Dic3C22×C3×D314yes—
452C2×Dic3C22×C3×D312yes—
453D12—22no—
454D12—68no—
455D12—68no—
456D12—64no—
457D12—64no—
458D12—64no—
459D12—64no—
460D12—128no—
461C4×D3—24no—
462Dic6—22no—
463C2×C32—22no—
464C2×C32—24no—
465C2×C32—22no—
466C2×C32—22no—
467C2×C32—22no—
468C2×C32—21no—
469C2×C32—21no—
470C2×C32—22no—
471C2×C32—22no—
472C2×C32—21no—
473C2×C32—41no—
474C2×C32—42no—
475C2×C32—42no—
476C2×C32—42no—
477C2×C32—44no—
478C2×C32—122no—
479C2×C32C22×D1211yescharacteristic
480C2×C32#100912yes—
481C2×C32#100912yes—
482C2×C32C22×#6711yescharacteristic
483C2×C32C22×C3×D411yescharacteristic
484C2×C32C3×H(5,𝔽2)12yes—
485C3⋊D3—44no—
486C3×D3—44no—
487C3×D3—42no—
488C3×D3—42no—
489C3×D3—128no—
490C3×D3—124no—
491C3×D3—124no—
492C24—92no—
493#41—64no—
494C2×Q8—31no—
495C2×D4—32no—
496C2×D4—31no—
497C2×D4—98no—
498C2×D4—92no—
499C2×D4—92no—
500C2×D4—184no—
501C22×C4—32no—
502C22×C4C3×D3211yescharacteristic
503C4⋊C4—32no—
504C22⋊C4—32no—
505C22⋊C4—98no—
506C42—32no—
507C22×C3—24no—
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—41no—
521C22×C3—42no—
522C22×C3—64no—
523C22×C3—64no—
524C22×C3—62no—
525C22×C3—62no—
526C22×C3—64no—
527C22×C3—124no—
528C22×C3—188no—
529C22×C3—184no—
530C22×C3—368no—
531C22×C3C2×#62612yes—
532C22×C3C2×C3×D1212yes—
533C22×C3C2×C3×#6712yes—
534C22×C3C22×D3211yescharacteristic
535C22×C3C23×C3×D311yescharacteristic
536C22×C3C23×C3×D311yescharacteristic
537C2×D3—24no—
538C2×D3—22no—
539C2×D3—68no—
540C2×D3—64no—
541C2×D3—68no—
542C2×D3—68no—
543C2×D3—64no—
544C2×D3—128no—
545C2×D3—1216no—
546C2×D3—128no—
547C2×D3—128no—
548C3×C4—22no—
549C3×C4—22no—
550C3×C4—22no—
551C3×C4—22no—
552C3×C4—22no—
553C3×C4—22no—
554C3×C4—42no—
555C3×C4—42no—
556C3×C4—64no—
557C3×C4—64no—
558C3×C4—62no—
559C3×C4—62no—
560C3×C4—64no—
561C3×C4—124no—
562C3×C4C2×#62612yes—
563C3×C4C2×#62612yes—
564C3×C4C2×C3×D1212yes—
565C3×C4C2×C3×D1212yes—
566C3×C4C2×C3×#6712yes—
567C3×C4C2×C3×#6712yes—
568Dic3—24no—
569Dic3—22no—
570C32—21no—
571C32—21no—
572C32—21no—
573C32—41no—
574C32#552511yescharacteristic, complemented
575C32#583011yescharacteristic, complemented
576C32C3×#53511yescharacteristic, complemented
577C23—32no—
578C23—94no—
579C23—184no—
580C23—364no—
581C23C2×C3×D3211yescharacteristic
582Q8—62no—
583D4—64no—
584D4—62no—
585D4—184no—
586D4—184no—
587D4—368no—
588C2×C4—34no—
589C2×C4—32no—
590C2×C4—64no—
591C2×C4C3×#62614yescomplemented
592C2×C4C2×C3×D3211yescharacteristic
593C2×C4C2×C3×D3211yescharacteristic
594C2×C3—24no—
595C2×C3—22no—
596C2×C3—22no—
597C2×C3—22no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—21no—
601C2×C3—22no—
602C2×C3—22no—
603C2×C3—22no—
604C2×C3—42no—
605C2×C3—42no—
606C2×C3—44no—
607C2×C3—41no—
608C2×C3—42no—
609C2×C3—124no—
610C2×C3—122no—
611C2×C3—122no—
612C2×C3—364no—
613C2×C3#6430812yes—
614C2×C3C22×#62611yescharacteristic
615C2×C3C22×C3×D1211yescharacteristic
616C2×C3C3×#100912yes—
617C2×C3C3×#100912yes—
618C2×C3C22×C3×#6711yescharacteristic
619D3—42no—
620D3—128no—
621D3—124no—
622D3—124no—
623C22—22no—
624C22—62no—
625C22—64no—
626C22—184no—
627C22—188no—
628C22—368no—
629C22C2×C3×#62612yes—
630C22C22×C3×D3211yescharacteristic
631C4—62no—
632C4—64no—
633C4C2×C3×#62612yes—
634C4C2×C3×#62612yes—
635C3—21no—
636C3—21no—
637C3—21no—
638C3—41no—
639C3#1059504511yescharacteristic, direct product factor
640C3C3×#552511yescharacteristic, complemented
641C3C3×#583011yescharacteristic, complemented
642C2—22no—
643C2—122no—
644C2—364no—
645C2C3×#6430812yes—
646C2C22×C3×#62611yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#535
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C4⋊(C3⋊D3)C2semidirect
2. C2×C32×#235C2semidirect
3. C32×#926C2semidirect
4. C3×#63981C2semidirect
5. C3×#63911C2semidirect
6. C3×#63909C2semidirect
7. C3×#63864C2semidirect
10. #10595045C3direct (N × H)
18. C2×C32×D12C22semidirect
19. C2×C32×C4×D3C22semidirect
20. C2×C32×Dic6C22semidirect
21. C2×C3×#626C22semidirect
23. C32×C4⋊Dic3C22semidirect
24. C32×C4×Dic3C22semidirect
25. C3×#3722C22semidirect
27. C22×C4⋊(C3⋊D3)C2×C3semidirect
29. C2×C3×#235D3semidirect
30. C2×C3×#235C2×C3semidirect
40. C3×#926D3semidirect
41. C3×#926C2×C3semidirect
46. #63981C2×C3semidirect
47. #63911C2×C3semidirect
48. #63909C2×C3semidirect
49. #63864C2×C3semidirect
55. C2×C33×C4D4semidirect
107. C2×C3×D12C2×D3semidirect
108. C2×C3×D12C22×C3semidirect
110. C2×C3×C4×D3C2×D3semidirect
111. C2×C3×C4×D3C22×C3semidirect
113. C2×C3×Dic6C2×D3semidirect
114. C2×C3×Dic6C22×C3semidirect
115. C2×#626C22×C3semidirect
125. C3×C4⋊Dic3C2×D3semidirect
126. C3×C4⋊Dic3C22×C3semidirect
128. C3×C4×Dic3C2×D3semidirect
129. C3×C4×Dic3C22×C3semidirect
130. #3722C22×C3semidirect
147. C2×#235C3×D3semidirect
162. #926C3×D3semidirect
208. C2×C32×C4D12semidirect
209. C2×C32×C4#67semidirect
210. C2×C32×C4C3×D4semidirect
295. C2×D12C2×C3×D3semidirect
296. C2×C4×D3C2×C3×D3semidirect
297. C2×Dic6C2×C3×D3semidirect
311. C4⋊Dic3C2×C3×D3semidirect
312. C4×Dic3C2×C3×D3semidirect
383. C33#535semidirect
440. C2×C3×C4#626semidirect
441. C2×C3×C4C3×D12semidirect
442. C2×C3×C4C3×#67semidirect
574. C32#5525semidirect
575. C32#5830semidirect
576. C32C3×#535semidirect
591. C2×C4C3×#626semidirect
639. C3#10595045direct (N × H)
640. C3C3×#5525semidirect
641. C3C3×#5830semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C4⋊(C3⋊D3)2
C2×C32×#2352
C32×#9262
C3×#639812
C3×#639112
C3×#639092
C3×#638642
C3×#58303
C3×#55253
#105950453