Finite Group Databasebeta

← C2×C3×#5833 #11901126

Subgroups — C2×C3×#5833 #11901126

Order 1152.

3725 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×#41C211yesmaximal, characteristic, complemented
2C22×C3×#235C211yesmaximal, characteristic, complemented
3C3×#5833C2116yesmaximal, direct product factor
4C2×C3×#946C212yesmaximal, complemented
5C2×C3×#939C214yesmaximal, complemented
6C2×C3×#938C212yesmaximal, complemented
7C2×C3×#930C212yesmaximal, complemented
8C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
9C2×C3×#924C212yesmaximal, complemented
10C2×C3×#537—31nomaximal
11C2×#5833C311yesmaximal, characteristic, direct product factor
12C2×C32×#41—28no—
13C2×C32×#41C2218yescomplemented
14C22×C32×Q8C2211yescharacteristic
15C22×C32×D4C2211yescharacteristic
16C22×C32×D4C2212yes—
17C23×C32×C4C2212yes—
18C23×C32×C4C2211yescharacteristic
19C22×C3×#67C2212yes—
20C22×C3×#67C2214yes—
21C23×C3×Dic3C2212yes—
22C2×C3×#235—28no—
23C2×C3×#235C2218yescomplemented
24C22×C3×D12C2211yescharacteristic
25C22×C3×C4×D3C2212yes—
26C22×C3×Dic6C2211yescharacteristic
27C2×C3×#217C2214yes—
28C3×#946C22116yescomplemented
29C3×#939C22132yescomplemented
30C3×#938C22116yescomplemented
31C3×#930C22116yescomplemented
32C2×C3×(C2×D3)⋊C4C2214yes—
33C2×C3×C4⋊Dic3C2212yes—
34C2×C3×C4⋊Dic3C2212yes—
35C2×C3×C4⋊Dic3C2218yescomplemented
36C3×#924C22116yescomplemented
37C2×C3×Dic3⋊C4C2214yes—
38C22×C3×#41—21no—
39C22×C3×#41—31no—
40C22×C3×#41D311yescharacteristic, complemented
41C22×C3×#41C2×C311yescharacteristic, complemented
42C22×#235C2×C311yescharacteristic, complemented
43C3×#537—316no—
44C2×C3×C22⋊Q8—32no—
45C2×C3×C22⋊Q8—32no—
46C2×C3×#121—32no—
47C2×C3×#121—34no—
48C2×C3×#121—32no—
49C22×C3×C4⋊C4—31no—
50#5833C2×C3116yesdirect product factor
51C2×#946C2×C312yescomplemented
52C2×#939C2×C314yescomplemented
53C2×#938C2×C312yescomplemented
54C2×#930C2×C312yescomplemented
55C22×C4⋊Dic3C2×C311yescharacteristic, complemented
56C2×#924C2×C312yescomplemented
57C24×C32C2312yes—
58C24×C32C2311yescharacteristic
59C23×C3×D3C2312yes—
60C32×#41—232no—
61C2×C32×Q8—24no—
62C2×C32×Q8C2314yes—
63C2×C32×D4—28no—
64C2×C32×D4—24no—
65C2×C32×D4C2314yes—
66C2×C32×D4C2318yes—
67C22×C32×C4—28no—
68C22×C32×C4D418yescomplemented
69C22×C32×C4C2312yes—
70C22×C32×C4C2318yes—
71C22×C32×C4C2311yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2314yes—
74C2×C3×#67—28no—
75C2×C3×#67—48no—
76C2×C3×#67C2318yes—
77C2×C3×#67C23116yes—
78C22×C3×Dic3—44no—
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2314yes—
81C22×C3×Dic3C2318yes—
82C3×#235—232no—
83C2×C3×D12—24no—
84C2×C3×D12C2314yes—
85C2×C3×C4×D3—28no—
86C2×C3×C4×D3C2318yes—
87C2×C3×Dic6—24no—
88C2×C3×Dic6C2314yes—
89C3×#217C23116yes—
90C3×(C2×D3)⋊C4C23116yes—
91C3×C4⋊Dic3C2318yes—
92C3×C4⋊Dic3C2318yes—
93C3×Dic3⋊C4C23116yes—
94C2×#537—31noSylow
95C2×C3×#41—216no—
96C2×C3×#41—28no—
97C2×C3×#41—28no—
98C2×C3×#41—28no—
99C2×C3×#41—38no—
100C2×C3×#41—68no—
101C2×C3×#41C2×D318yescomplemented
102C2×C3×#41C22×C318yescomplemented
103C22×C3×Q8—21no—
104C22×C3×Q8—31no—
105C22×C3×Q8C2×D311yescharacteristic
106C22×C3×Q8C22×C311yescharacteristic
107C22×C3×D4—21no—
108C22×C3×D4—22no—
109C22×C3×D4—32no—
110C22×C3×D4—34no—
111C22×C3×D4—31no—
112C22×C3×D4C2×D312yes—
113C22×C3×D4C2×D311yescharacteristic
114C22×C3×D4C22×C311yescharacteristic
115C22×C3×D4C22×C312yes—
116C23×C3×C4—22no—
117C23×C3×C4—21no—
118C23×C3×C4—32no—
119C23×C3×C4—32no—
120C23×C3×C4C2×D312yes—
121C23×C3×C4C2×D311yescharacteristic
122C23×C3×C4C22×C312yes—
123C23×C3×C4C22×C311yescharacteristic
124C22×#67C22×C312yes—
125C22×#67C22×C314yes—
126C23×Dic3C22×C312yes—
127C2×#235—28no—
128C2×#235C22×C318yescomplemented
129C22×D12C22×C311yescharacteristic
130C22×C4×D3C22×C312yes—
131C22×Dic6C22×C311yescharacteristic
132C3×C22⋊Q8—316no—
133C3×C22⋊Q8—316no—
134C3×#121—316no—
135C3×#121—332no—
136C3×#121—316no—
137C2×C3×C4⋊C4—34no—
138C2×C3×C4⋊C4—32no—
139C2×C3×C4⋊C4—32no—
140C2×C3×C4⋊C4—38no—
141C2×C3×C22⋊C4—34no—
142C2×C3×C22⋊C4—34no—
143C2×#217C22×C314yes—
144#946C22×C3116yescomplemented
145#939C22×C3132yescomplemented
146#938C22×C3116yescomplemented
147#930C22×C3116yescomplemented
148C2×(C2×D3)⋊C4C22×C314yes—
149C2×C4⋊Dic3C22×C312yes—
150C2×C4⋊Dic3C22×C312yes—
151C2×C4⋊Dic3C22×C318yescomplemented
152#924C22×C3116yescomplemented
153C2×Dic3⋊C4C22×C314yes—
154C23×C32—24no—
155C23×C32—22no—
156C23×C32—22no—
157C23×C32—24no—
158C23×C32—24no—
159C23×C32C2×D414yes—
160C23×C32C2414yes—
161C23×C32C2412yes—
162C23×C32C2411yescharacteristic
163C22×C3×D3—24no—
164C22×C3×D3—24no—
165C22×C3×D3—24no—
166C22×C3×D3C2414yes—
167C32×Q8—28no—
168C32×D4—216no—
169C32×D4—28no—
170C2×C32×C4—24no—
171C2×C32×C4—216no—
172C2×C32×C4C2×D414yes—
173C2×C32×C4C2×D414yes—
174C2×C32×C4C2×D4116yescomplemented
175C2×C32×C4C2414yes—
176C2×C32×C4C2412yes—
177C2×C32×C4C2412yes—
178C3×#67—216no—
179C3×#67—416no—
180C2×C3×Dic3—24no—
181C2×C3×Dic3—28no—
182C2×C3×Dic3—48no—
183C2×C3×Dic3C2414yes—
184C2×C3×Dic3C2418yes—
185C3×D12—28no—
186C3×C4×D3—216no—
187C3×Dic6—28no—
188C22×#41—31no—
189C22×#41C3×D311yescharacteristic, complemented
190#537—316no—
191C2×C22⋊Q8—32no—
192C2×C22⋊Q8—32no—
193C2×#121—32no—
194C2×#121—34no—
195C2×#121—32no—
196C22×C4⋊C4—31no—
197C24×C3—22no—
198C24×C3—21no—
199C24×C3—32no—
200C24×C3C22×D312yes—
201C24×C3C22×D311yescharacteristic
202C24×C3C23×C312yes—
203C24×C3C23×C311yescharacteristic
204C23×D3C23×C312yes—
205C3×#41—264no—
206C3×#41—232no—
207C3×#41—232no—
208C3×#41—632no—
209C2×C3×Q8—28no—
210C2×C3×Q8—24no—
211C2×C3×Q8—24no—
212C2×C3×Q8—24no—
213C2×C3×Q8—34no—
214C2×C3×Q8—64no—
215C2×C3×Q8C22×D314yes—
216C2×C3×Q8C23×C314yes—
217C2×C3×D4—216no—
218C2×C3×D4—28no—
219C2×C3×D4—28no—
220C2×C3×D4—28no—
221C2×C3×D4—24no—
222C2×C3×D4—24no—
223C2×C3×D4—24no—
224C2×C3×D4—28no—
225C2×C3×D4—38no—
226C2×C3×D4—316no—
227C2×C3×D4—34no—
228C2×C3×D4—68no—
229C2×C3×D4—64no—
230C2×C3×D4—128no—
231C2×C3×D4C22×D318yes—
232C2×C3×D4C22×D314yes—
233C2×C3×D4C23×C314yes—
234C2×C3×D4C23×C318yes—
235C22×C3×C4—216no—
236C22×C3×C4—28no—
237C22×C3×C4—28no—
238C22×C3×C4—28no—
239C22×C3×C4—21no—
240C22×C3×C4—22no—
241C22×C3×C4—21no—
242C22×C3×C4—28no—
243C22×C3×C4—24no—
244C22×C3×C4—34no—
245C22×C3×C4—32no—
246C22×C3×C4—38no—
247C22×C3×C4—38no—
248C22×C3×C4—68no—
249C22×C3×C4—124no—
250C22×C3×C4#6718yescomplemented
251C22×C3×C4C3×D418yescomplemented
252C22×C3×C4C22×D318yes—
253C22×C3×C4C22×D312yes—
254C22×C3×C4C22×D311yescharacteristic
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D314yes—
257C22×C3×C4C23×C312yes—
258C22×C3×C4C23×C318yes—
259C22×C3×C4C23×C311yescharacteristic
260C22×C3×C4C23×C311yescharacteristic
261C22×C3×C4C23×C314yes—
262C2×#67—28no—
263C2×#67—48no—
264C2×#67C23×C318yes—
265C2×#67C23×C3116yes—
266C22×Dic3—44no—
267C22×Dic3C23×C312yes—
268C22×Dic3C23×C314yes—
269C22×Dic3C23×C318yes—
270#235—232no—
271C2×D12—24no—
272C2×D12C23×C314yes—
273C2×C4×D3—28no—
274C2×C4×D3C23×C318yes—
275C2×Dic6—24no—
276C2×Dic6C23×C314yes—
277C3×C4⋊C4—316no—
278C3×C4⋊C4—38no—
279C3×C4⋊C4—38no—
280C3×C22⋊C4—316no—
281C3×C22⋊C4—316no—
282#217C23×C3116yes—
283(C2×D3)⋊C4C23×C3116yes—
284C4⋊Dic3C23×C318yes—
285C4⋊Dic3C23×C318yes—
286Dic3⋊C4C23×C3116yes—
287C22×C32—24no—
288C22×C32—28no—
289C22×C32—22no—
290C22×C32—22no—
291C22×C32—24no—
292C22×C32—24no—
293C22×C32—48no—
294C22×C32C22×D414yes—
295C22×C32C22×D412yes—
296C22×C32H(5,𝔽2)12yes—
297C22×C322−1+412yes—
298C22×C32C2511yescharacteristic
299C2×C3×D3—24no—
300C2×C3×D3—24no—
301C2×C3×D3—24no—
302C2×C3×D3—48no—
303C32×C4—24no—
304C32×C4C22×D414yes—
305C32×C4C22×D414yes—
306C3×Dic3—24no—
307C3×Dic3—28no—
308C2×#41—28no—
309C2×#41—38no—
310C2×#41—68no—
311C2×#41C2×C3×D318yescomplemented
312C22×Q8—31no—
313C22×Q8C2×C3×D311yescharacteristic
314C22×D4—32no—
315C22×D4—34no—
316C22×D4—31no—
317C22×D4C2×C3×D312yes—
318C22×D4C2×C3×D311yescharacteristic
319C23×C4—32no—
320C23×C4—32no—
321C23×C4C2×C3×D312yes—
322C23×C4C2×C3×D311yescharacteristic
323C22⋊Q8—316no—
324C22⋊Q8—316no—
325#121—316no—
326#121—332no—
327#121—316no—
328C2×C4⋊C4—32no—
329C2×C4⋊C4—32no—
330C2×C4⋊C4—38no—
331C2×C4⋊C4—34no—
332C2×C22⋊C4—34no—
333C2×C22⋊C4—34no—
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—28no—
339C23×C3—24no—
340C23×C3—24no—
341C23×C3—24no—
342C23×C3—24no—
343C23×C3—24no—
344C23×C3—24no—
345C23×C3—21no—
346C23×C3—24no—
347C23×C3—22no—
348C23×C3—24no—
349C23×C3—34no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—44no—
353C23×C3—44no—
354C23×C3—64no—
355C23×C3—64no—
356C23×C3—64no—
357C23×C3C2×#6714yes—
358C23×C3C2×C3×D414yes—
359C23×C3C23×D314yes—
360C23×C3C23×D312yes—
361C23×C3C23×D311yescharacteristic
362C23×C3C24×C314yes—
363C23×C3C24×C312yes—
364C23×C3C24×C311yescharacteristic
365C22×D3—24no—
366C22×D3—24no—
367C22×D3—24no—
368C22×D3C24×C314yes—
369C3×Q8—216no—
370C3×Q8—28no—
371C3×Q8—28no—
372C3×Q8—68no—
373C3×D4—232no—
374C3×D4—216no—
375C3×D4—216no—
376C3×D4—216no—
377C3×D4—28no—
378C3×D4—28no—
379C3×D4—616no—
380C3×D4—68no—
381C3×D4—1216no—
382C2×C3×C4—28no—
383C2×C3×C4—232no—
384C2×C3×C4—24no—
385C2×C3×C4—24no—
386C2×C3×C4—216no—
387C2×C3×C4—216no—
388C2×C3×C4—22no—
389C2×C3×C4—24no—
390C2×C3×C4—22no—
391C2×C3×C4—24no—
392C2×C3×C4—24no—
393C2×C3×C4—216no—
394C2×C3×C4—38no—
395C2×C3×C4—34no—
396C2×C3×C4—68no—
397C2×C3×C4—64no—
398C2×C3×C4—616no—
399C2×C3×C4—128no—
400C2×C3×C4C2×#6714yes—
401C2×C3×C4C2×#6714yes—
402C2×C3×C4C2×#67116yescomplemented
403C2×C3×C4C2×C3×D414yes—
404C2×C3×C4C2×C3×D414yes—
405C2×C3×C4C2×C3×D4116yescomplemented
406C2×C3×C4C23×D314yes—
407C2×C3×C4C23×D312yes—
408C2×C3×C4C23×D312yes—
409C2×C3×C4C24×C314yes—
410C2×C3×C4C24×C312yes—
411C2×C3×C4C24×C312yes—
412#67—216no—
413#67—416no—
414C2×Dic3—24no—
415C2×Dic3—28no—
416C2×Dic3—48no—
417C2×Dic3C24×C314yes—
418C2×Dic3C24×C318yes—
419D12—28no—
420C4×D3—216no—
421Dic6—28no—
422C2×C32—24no—
423C2×C32—44no—
424C2×C32#53714yescomplemented
425C2×C32C23×D411yescharacteristic
426C2×C32C2×H(5,𝔽2)11yescharacteristic
427C2×C32C2×2−1+411yescharacteristic
428C3×D3—44no—
429C24—32no—
430C24C22×C3×D312yes—
431C24C22×C3×D311yescharacteristic
432#41—232no—
433#41—632no—
434C2×Q8—24no—
435C2×Q8—34no—
436C2×Q8—64no—
437C2×Q8C22×C3×D314yes—
438C2×D4—28no—
439C2×D4—24no—
440C2×D4—38no—
441C2×D4—316no—
442C2×D4—34no—
443C2×D4—68no—
444C2×D4—64no—
445C2×D4—128no—
446C2×D4C22×C3×D318yes—
447C2×D4C22×C3×D314yes—
448C22×C4—28no—
449C22×C4—34no—
450C22×C4—32no—
451C22×C4—38no—
452C22×C4—38no—
453C22×C4—68no—
454C22×C4—124no—
455C22×C4C3×#6718yescomplemented
456C22×C4C22×C3×D312yes—
457C22×C4C22×C3×D318yes—
458C22×C4C22×C3×D311yescharacteristic
459C22×C4C22×C3×D311yescharacteristic
460C22×C4C22×C3×D314yes—
461C4⋊C4—38no—
462C4⋊C4—38no—
463C4⋊C4—316no—
464C22⋊C4—316no—
465C22⋊C4—316no—
466C22×C3—22no—
467C22×C3—22no—
468C22×C3—22no—
469C22×C3—22no—
470C22×C3—28no—
471C22×C3—28no—
472C22×C3—28no—
473C22×C3—24no—
474C22×C3—24no—
475C22×C3—24no—
476C22×C3—24no—
477C22×C3—24no—
478C22×C3—24no—
479C22×C3—22no—
480C22×C3—22no—
481C22×C3—22no—
482C22×C3—24no—
483C22×C3—21no—
484C22×C3—48no—
485C22×C3—42no—
486C22×C3—42no—
487C22×C3—44no—
488C22×C3—44no—
489C22×C3—416no—
490C22×C3—48no—
491C22×C3—48no—
492C22×C3—64no—
493C22×C3—64no—
494C22×C3—64no—
495C22×C3—128no—
496C22×C3#100912yes—
497C22×C3#101012yes—
498C22×C3C22×#6714yes—
499C22×C3C22×#6712yes—
500C22×C3C22×C3×D414yes—
501C22×C3C22×C3×D412yes—
502C22×C3C3×H(5,𝔽2)12yes—
503C22×C3C3×2−1+412yes—
504C22×C3C24×D311yescharacteristic
505C22×C3C25×C311yescharacteristic
506C2×D3—24no—
507C2×D3—24no—
508C2×D3—24no—
509C2×D3—48no—
510C3×C4—28no—
511C3×C4—24no—
512C3×C4—24no—
513C3×C4—24no—
514C3×C4—24no—
515C3×C4—68no—
516C3×C4—64no—
517C3×C4C22×#6714yes—
518C3×C4C22×#6714yes—
519C3×C4C22×C3×D414yes—
520C3×C4C22×C3×D414yes—
521Dic3—24no—
522Dic3—28no—
523C32C2×#53711yescharacteristic, complemented, Sylow
524C23—22no—
525C23—22no—
526C23—24no—
527C23—24no—
528C23—24no—
529C23—34no—
530C23—64no—
531C23—64no—
532C23—64no—
533C23C2×C3×#6714yes—
534C23C23×C3×D314yes—
535C23C23×C3×D312yes—
536C23C23×C3×D311yescharacteristic
537Q8—28no—
538Q8—68no—
539D4—216no—
540D4—28no—
541D4—616no—
542D4—68no—
543D4—1216no—
544C2×C4—24no—
545C2×C4—216no—
546C2×C4—38no—
547C2×C4—34no—
548C2×C4—68no—
549C2×C4—64no—
550C2×C4—616no—
551C2×C4—128no—
552C2×C4C2×C3×#6714yes—
553C2×C4C2×C3×#6714yes—
554C2×C4C2×C3×#67116yescomplemented
555C2×C4C23×C3×D314yes—
556C2×C4C23×C3×D312yes—
557C2×C4C23×C3×D312yes—
558C2×C3—24no—
559C2×C3—24no—
560C2×C3—24no—
561C2×C3—21no—
562C2×C3—21no—
563C2×C3—21no—
564C2×C3—44no—
565C2×C3—48no—
566C2×C3—44no—
567C2×C3—44no—
568C2×C3—124no—
569C2×C3#583314yesdirect product factor
570C2×C3C3×#53714yescomplemented
571C2×C3C2×#100911yescharacteristic
572C2×C3C2×#101011yescharacteristic
573C2×C3C23×#6711yescharacteristic
574C2×C3C23×C3×D411yescharacteristic
575C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
576C2×C3C2×C3×2−1+411yescharacteristic
577D3—44no—
578C22—28no—
579C22—22no—
580C22—22no—
581C22—24no—
582C22—24no—
583C22—24no—
584C22—48no—
585C22—64no—
586C22—64no—
587C22—64no—
588C22—128no—
589C22C3×#100912yes—
590C22C3×#101012yes—
591C22C22×C3×#6714yes—
592C22C22×C3×#6712yes—
593C22C24×C3×D311yescharacteristic
594C4—24no—
595C4—68no—
596C4—64no—
597C4C22×C3×#6714yes—
598C4C22×C3×#6714yes—
599C3—21no—
600C3C2×#583311yescharacteristic, direct product factor
601C3C2×C3×#53711yescharacteristic, complemented
602C2—24no—
603C2—44no—
604C2—124no—
605C2C3×#583314yesdirect product factor
606C2C2×C3×#100911yescharacteristic
607C2C2×C3×#101011yescharacteristic
608C2C23×C3×#6711yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC22×C32×#41C2
socleC23×C32C24
hypercenterC22×C3×#41D3
hypocenterC3C2×C3×#537
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×#41

Complements

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

NH ≅ G/Ntype
1. C22×C32×#41C2semidirect
2. C22×C3×#235C2semidirect
3. C3×#5833C2direct (N × H)
4. C2×C3×#946C2semidirect
5. C2×C3×#939C2semidirect
6. C2×C3×#938C2semidirect
7. C2×C3×#930C2semidirect
8. C22×C3×C4⋊Dic3C2semidirect
9. C2×C3×#924C2semidirect
11. C2×#5833C3direct (N × H)
13. C2×C32×#41C22semidirect
23. C2×C3×#235C22semidirect
28. C3×#946C22semidirect
29. C3×#939C22semidirect
30. C3×#938C22semidirect
31. C3×#930C22semidirect
35. C2×C3×C4⋊Dic3C22semidirect
36. C3×#924C22semidirect
40. C22×C3×#41D3semidirect
41. C22×C3×#41C2×C3semidirect
42. C22×#235C2×C3semidirect
50. #5833C2×C3direct (N × H)
51. C2×#946C2×C3semidirect
52. C2×#939C2×C3semidirect
53. C2×#938C2×C3semidirect
54. C2×#930C2×C3semidirect
55. C22×C4⋊Dic3C2×C3semidirect
56. C2×#924C2×C3semidirect
68. C22×C32×C4D4semidirect
101. C2×C3×#41C2×D3semidirect
102. C2×C3×#41C22×C3semidirect
128. C2×#235C22×C3semidirect
144. #946C22×C3semidirect
145. #939C22×C3semidirect
146. #938C22×C3semidirect
147. #930C22×C3semidirect
151. C2×C4⋊Dic3C22×C3semidirect
152. #924C22×C3semidirect
174. C2×C32×C4C2×D4semidirect
189. C22×#41C3×D3semidirect
250. C22×C3×C4#67semidirect
251. C22×C3×C4C3×D4semidirect
311. C2×#41C2×C3×D3semidirect
402. C2×C3×C4C2×#67semidirect
405. C2×C3×C4C2×C3×D4semidirect
424. C2×C32#537semidirect
455. C22×C4C3×#67semidirect
523. C32C2×#537semidirect
554. C2×C4C2×C3×#67semidirect
569. C2×C3#5833direct (N × H)
570. C2×C3C3×#537semidirect
600. C3C2×#5833direct (N × H)
601. C3C2×C3×#537semidirect
605. C2C3×#5833direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C32×#412
C22×C3×#2352
C3×#58332
C2×C3×#9462
C2×C3×#9392
C2×C3×#9382
C2×C3×#9302
C22×C3×C4⋊Dic32
C2×C3×#9242
C2×C3×#5373
C2×#58333