Finite Group Databasebeta

← C2×C3×#5587 #11902889

Subgroups — C2×C3×#5587 #11902889

Order 1152.

2987 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#120C211yesmaximal, characteristic
2C22×C3×#217C212yesmaximal, complemented
3C2×C3×#936C211yesmaximal, characteristic, complemented
4C2×C3×#935C211yesmaximal, characteristic, complemented
5C2×C3×#935C212yesmaximal, complemented
6C2×C3×D4×Dic3C212yesmaximal, complemented
7C3×#5587C2116yesmaximal, direct product factor
8C2×C3×#879C212yesmaximal, complemented
9C2×C3×#878C212yesmaximal, complemented
10C2×C3×#877C212yesmaximal, complemented
11C2×C3×#551—31nomaximal
12C2×#5587C311yesmaximal, characteristic, direct product factor
13C25×C32C2211yescharacteristic
14C22×C32×D4C2212yes—
15C22×C32×D4C2211yescharacteristic
16C23×C3×Dic3C2212yes—
17C23×C3×Dic3C2212yes—
18C23×C3×Dic3C2211yescharacteristic, complemented
19C22×C3×Dic6C2211yescharacteristic, complemented
20C32×#120C2218yes—
21C2×C32×C22⋊C4C2212yes—
22C2×C32×C22⋊C4C2211yescharacteristic
23C2×C3×#217C2212yes—
24C2×C3×#217C2212yes—
25C2×C3×#217C2212yes—
26C2×C3×#217C2212yes—
27C2×C3×#217C22116yescomplemented
28C2×C3×#217C2212yescomplemented
29C2×C3×#217C2211yescharacteristic, complemented
30C3×#936C2218yescomplemented
31C3×#935C2218yescomplemented
32C3×#935C22116yescomplemented
33C3×D4×Dic3C22116yescomplemented
34C2×C3×C4⋊Dic3C2212yescomplemented
35C2×C3×Dic3⋊C4C2212yescomplemented
36C2×C3×Dic3⋊C4C2212yescomplemented
37C2×C3×Dic3⋊C4C2212yescomplemented
38C2×C3×C4×Dic3C2212yescomplemented
39C2×C3×C4×Dic3C2211yescharacteristic, complemented
40C3×#879C22116yescomplemented
41C3×#878C22116yescomplemented
42C3×#877C22116yescomplemented
43C3×#551—316no—
44C2×C3×#126—32no—
45C2×C3×#124—31no—
46C2×C3×#123—32no—
47C2×C3×#123—31no—
48C2×C3×C22⋊Q8—32no—
49C2×C3×#120—21no—
50C2×C3×#120D311yescharacteristic
51C2×C3×#120C2×C311yescharacteristic
52C2×C3×C4×D4—32no—
53C2×C3×#117—32no—
54C22×C3×C22⋊C4—32no—
55C22×#217C2×C312yescomplemented
56C2×#936C2×C311yescharacteristic, complemented
57C2×#935C2×C311yescharacteristic, complemented
58C2×#935C2×C312yescomplemented
59C2×D4×Dic3C2×C312yescomplemented
60#5587C2×C3116yesdirect product factor
61C2×#879C2×C312yescomplemented
62C2×#878C2×C312yescomplemented
63C2×#877C2×C312yescomplemented
64C24×C32—28no—
65C24×C32—42no—
66C24×C32C2311yescharacteristic
67C24×C32C2311yescharacteristic
68C24×C32C2314yes—
69C24×C32C2312yes—
70C2×C32×D4—28no—
71C2×C32×D4—42no—
72C2×C32×D4C2318yes—
73C2×C32×D4C2314yes—
74C22×C32×C4C2312yes—
75C22×C32×C4C2311yescharacteristic
76C22×C3×Dic3—28no—
77C22×C3×Dic3—44no—
78C22×C3×Dic3—42no—
79C22×C3×Dic3C2318yes—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2318yes—
85C22×C3×Dic3C2314yescomplemented
86C2×C3×Dic6—42no—
87C2×C3×Dic6C2314yescomplemented
88C32×C22⋊C4C2318yes—
89C32×C22⋊C4C2314yes—
90C3×#217C2318yes—
91C3×#217C2318yes—
92C3×#217C2318yes—
93C3×#217C2318yes—
94C3×#217C2318yescomplemented
95C3×#217C2314yescomplemented
96C3×C4⋊Dic3C2318yescomplemented
97C3×Dic3⋊C4C2318yescomplemented
98C3×Dic3⋊C4C2318yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100C3×C4×Dic3C2314yescomplemented
101C3×C4×Dic3C2318yescomplemented
102C2×#551—31noSylow
103C25×C3—21no—
104C25×C3C2×D311yescharacteristic
105C25×C3C22×C311yescharacteristic
106C22×C3×Q8—31no—
107C22×C3×D4—22no—
108C22×C3×D4—21no—
109C22×C3×D4C2×D312yes—
110C22×C3×D4C2×D311yescharacteristic
111C22×C3×D4C22×C312yes—
112C22×C3×D4C22×C311yescharacteristic
113C23×C3×C4—32no—
114C23×C3×C4—32no—
115C23×C3×C4—31no—
116C23×Dic3C22×C312yes—
117C23×Dic3C22×C312yes—
118C23×Dic3C22×C311yescharacteristic, complemented
119C22×Dic6C22×C311yescharacteristic, complemented
120C3×#126—316no—
121C3×#124—38no—
122C3×#123—316no—
123C3×#123—38no—
124C3×C22⋊Q8—316no—
125C3×#120—28no—
126C3×#120C2×D318yes—
127C3×#120C22×C318yes—
128C3×C4×D4—316no—
129C3×#117—316no—
130C2×C3×C4⋊C4—32no—
131C2×C3×C4⋊C4—32no—
132C2×C3×C4⋊C4—32no—
133C2×C3×C4⋊C4—32no—
134C2×C3×C22⋊C4—22no—
135C2×C3×C22⋊C4—21no—
136C2×C3×C22⋊C4—32no—
137C2×C3×C22⋊C4—32no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C22⋊C4—32no—
140C2×C3×C22⋊C4—316no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C22⋊C4—31no—
143C2×C3×C22⋊C4C2×D312yes—
144C2×C3×C22⋊C4C2×D311yescharacteristic
145C2×C3×C22⋊C4C22×C312yes—
146C2×C3×C22⋊C4C22×C311yescharacteristic
147C2×C3×C42—31no—
148C2×C3×C42—32no—
149C2×#217C22×C312yes—
150C2×#217C22×C312yes—
151C2×#217C22×C312yes—
152C2×#217C22×C312yes—
153C2×#217C22×C3116yescomplemented
154C2×#217C22×C312yescomplemented
155C2×#217C22×C311yescharacteristic, complemented
156#936C22×C318yescomplemented
157#935C22×C318yescomplemented
158#935C22×C3116yescomplemented
159D4×Dic3C22×C3116yescomplemented
160C2×C4⋊Dic3C22×C312yescomplemented
161C2×Dic3⋊C4C22×C312yescomplemented
162C2×Dic3⋊C4C22×C312yescomplemented
163C2×Dic3⋊C4C22×C312yescomplemented
164C2×C4×Dic3C22×C311yescharacteristic, complemented
165C2×C4×Dic3C22×C312yescomplemented
166#879C22×C3116yescomplemented
167#878C22×C3116yescomplemented
168#877C22×C3116yescomplemented
169C23×C32—22no—
170C23×C32—24no—
171C23×C32—24no—
172C23×C32—216no—
173C23×C32—24no—
174C23×C32—24no—
175C23×C32—22no—
176C23×C32—44no—
177C23×C32—416no—
178C23×C32#4118yes—
179C23×C32C2412yes—
180C23×C32C2412yes—
181C23×C32C2414yes—
182C23×C32C2411yescharacteristic
183C32×D4—216no—
184C32×D4—44no—
185C2×C32×C4—24no—
186C2×C32×C4—22no—
187C2×C32×C4C2414yes—
188C2×C32×C4C2412yes—
189C2×C3×Dic3—216no—
190C2×C3×Dic3—24no—
191C2×C3×Dic3—24no—
192C2×C3×Dic3—24no—
193C2×C3×Dic3—24no—
194C2×C3×Dic3—48no—
195C2×C3×Dic3—44no—
196C2×C3×Dic3C2414yes—
197C2×C3×Dic3C2414yes—
198C2×C3×Dic3C2414yes—
199C2×C3×Dic3C2414yes—
200C3×Dic6—44no—
201#551—316no—
202C2×#126—32no—
203C2×#124—31no—
204C2×#123—32no—
205C2×#123—31no—
206C2×C22⋊Q8—32no—
207C2×#120C3×D311yescharacteristic
208C2×C4×D4—32no—
209C2×#117—32no—
210C22×C22⋊C4—32no—
211C24×C3—28no—
212C24×C3—28no—
213C24×C3—21no—
214C24×C3—22no—
215C24×C3—24no—
216C24×C3—21no—
217C24×C3—48no—
218C24×C3—42no—
219C24×C3—42no—
220C24×C3—44no—
221C24×C3C22×D311yescharacteristic
222C24×C3C22×D311yescharacteristic
223C24×C3C22×D314yes—
224C24×C3C22×D312yes—
225C24×C3C23×C311yescharacteristic
226C24×C3C23×C311yescharacteristic
227C24×C3C23×C314yes—
228C24×C3C23×C312yes—
229C2×C3×Q8—34no—
230C2×C3×Q8—122no—
231C2×C3×D4—28no—
232C2×C3×D4—28no—
233C2×C3×D4—28no—
234C2×C3×D4—24no—
235C2×C3×D4—48no—
236C2×C3×D4—42no—
237C2×C3×D4—42no—
238C2×C3×D4—44no—
239C2×C3×D4C22×D318yes—
240C2×C3×D4C22×D314yes—
241C2×C3×D4C23×C318yes—
242C2×C3×D4C23×C314yes—
243C22×C3×C4—22no—
244C22×C3×C4—21no—
245C22×C3×C4—38no—
246C22×C3×C4—32no—
247C22×C3×C4—32no—
248C22×C3×C4—32no—
249C22×C3×C4—32no—
250C22×C3×C4—38no—
251C22×C3×C4—34no—
252C22×C3×C4—68no—
253C22×C3×C4—122no—
254C22×C3×C4—124no—
255C22×C3×C4C22×D312yes—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C23×C312yes—
258C22×C3×C4C23×C311yescharacteristic
259C22×Dic3—28no—
260C22×Dic3—44no—
261C22×Dic3—42no—
262C22×Dic3C23×C318yes—
263C22×Dic3C23×C312yes—
264C22×Dic3C23×C312yes—
265C22×Dic3C23×C312yes—
266C22×Dic3C23×C312yes—
267C22×Dic3C23×C318yes—
268C22×Dic3C23×C314yescomplemented
269C2×Dic6—42no—
270C2×Dic6C23×C314yescomplemented
271C3×C4⋊C4—38no—
272C3×C4⋊C4—38no—
273C3×C4⋊C4—38no—
274C3×C4⋊C4—38no—
275C3×C22⋊C4—28no—
276C3×C22⋊C4—24no—
277C3×C22⋊C4—38no—
278C3×C22⋊C4—38no—
279C3×C22⋊C4—38no—
280C3×C22⋊C4—38no—
281C3×C22⋊C4—38no—
282C3×C22⋊C4—34no—
283C3×C22⋊C4C22×D318yes—
284C3×C22⋊C4C22×D314yes—
285C3×C22⋊C4C23×C318yes—
286C3×C22⋊C4C23×C314yes—
287C3×C42—34no—
288C3×C42—38no—
289#217C23×C318yes—
290#217C23×C318yes—
291#217C23×C318yes—
292#217C23×C318yes—
293#217C23×C318yescomplemented
294#217C23×C314yescomplemented
295C4⋊Dic3C23×C318yescomplemented
296Dic3⋊C4C23×C318yescomplemented
297Dic3⋊C4C23×C318yescomplemented
298Dic3⋊C4C23×C318yescomplemented
299C4×Dic3C23×C314yescomplemented
300C4×Dic3C23×C318yescomplemented
301C22×C32—22no—
302C22×C32—216no—
303C22×C32—24no—
304C22×C32—24no—
305C22×C32—24no—
306C22×C32—24no—
307C22×C32—22no—
308C22×C32—416no—
309C22×C32—44no—
310C22×C32—44no—
311C22×C32C2×#4118yes—
312C22×C32C2×#4114yes—
313C22×C32H(5,𝔽2)12yes—
314C22×C32C2511yescharacteristic
315C32×C4—24no—
316C32×C4—22no—
317C3×Dic3—24no—
318C3×Dic3—24no—
319C3×Dic3—24no—
320C3×Dic3—24no—
321C25C2×C3×D311yescharacteristic
322C22×Q8—31no—
323C22×D4C2×C3×D312yes—
324C22×D4C2×C3×D311yescharacteristic
325C23×C4—32no—
326C23×C4—32no—
327C23×C4—31no—
328#126—316no—
329#124—38no—
330#123—316no—
331#123—38no—
332C22⋊Q8—316no—
333#120C2×C3×D318yes—
334C4×D4—316no—
335#117—316no—
336C2×C4⋊C4—32no—
337C2×C4⋊C4—32no—
338C2×C4⋊C4—32no—
339C2×C4⋊C4—32no—
340C2×C22⋊C4—32no—
341C2×C22⋊C4—32no—
342C2×C22⋊C4—32no—
343C2×C22⋊C4—32no—
344C2×C22⋊C4—316no—
345C2×C22⋊C4—32no—
346C2×C22⋊C4—31no—
347C2×C22⋊C4C2×C3×D312yes—
348C2×C22⋊C4C2×C3×D311yescharacteristic
349C2×C42—31no—
350C2×C42—32no—
351C23×C3—24no—
352C23×C3—24no—
353C23×C3—24no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—24no—
357C23×C3—216no—
358C23×C3—24no—
359C23×C3—22no—
360C23×C3—22no—
361C23×C3—24no—
362C23×C3—216no—
363C23×C3—24no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—21no—
367C23×C3—22no—
368C23×C3—24no—
369C23×C3—22no—
370C23×C3—28no—
371C23×C3—44no—
372C23×C3—44no—
373C23×C3—44no—
374C23×C3—416no—
375C23×C3—44no—
376C23×C3—42no—
377C23×C3—44no—
378C23×C3—44no—
379C23×C3—416no—
380C23×C3—416no—
381C23×C3—48no—
382C23×C3—432no—
383C23×C3#23718yes—
384C23×C3C3×#4118yes—
385C23×C3C23×D312yes—
386C23×C3C23×D312yes—
387C23×C3C23×D314yes—
388C23×C3C23×D311yescharacteristic
389C23×C3C24×C312yes—
390C23×C3C24×C312yes—
391C23×C3C24×C314yes—
392C23×C3C24×C311yescharacteristic
393C3×Q8—124no—
394C3×D4—216no—
395C3×D4—216no—
396C3×D4—416no—
397C3×D4—44no—
398C3×D4—44no—
399C3×D4—48no—
400C2×C3×C4—24no—
401C2×C3×C4—22no—
402C2×C3×C4—24no—
403C2×C3×C4—22no—
404C2×C3×C4—24no—
405C2×C3×C4—22no—
406C2×C3×C4—34no—
407C2×C3×C4—34no—
408C2×C3×C4—34no—
409C2×C3×C4—34no—
410C2×C3×C4—44no—
411C2×C3×C4—42no—
412C2×C3×C4—616no—
413C2×C3×C4—64no—
414C2×C3×C4—64no—
415C2×C3×C4—64no—
416C2×C3×C4—64no—
417C2×C3×C4—124no—
418C2×C3×C4—128no—
419C2×C3×C4C23×D314yes—
420C2×C3×C4C23×D312yes—
421C2×C3×C4C24×C314yes—
422C2×C3×C4C24×C312yes—
423C2×Dic3—216no—
424C2×Dic3—24no—
425C2×Dic3—24no—
426C2×Dic3—24no—
427C2×Dic3—24no—
428C2×Dic3—48no—
429C2×Dic3—44no—
430C2×Dic3C24×C314yes—
431C2×Dic3C24×C314yes—
432C2×Dic3C24×C314yes—
433C2×Dic3C24×C314yes—
434Dic6—44no—
435C2×C32—28no—
436C2×C32—42no—
437C2×C32—42no—
438C2×C32#55114yescomplemented
439C2×C32C22×#4112yes—
440C2×C32C2×H(5,𝔽2)11yescharacteristic
441C24—28no—
442C24—42no—
443C24C22×C3×D311yescharacteristic
444C24C22×C3×D311yescharacteristic
445C24C22×C3×D314yes—
446C24C22×C3×D312yes—
447C2×Q8—34no—
448C2×Q8—122no—
449C2×D4—28no—
450C2×D4—42no—
451C2×D4C22×C3×D318yes—
452C2×D4C22×C3×D314yes—
453C22×C4—32no—
454C22×C4—32no—
455C22×C4—32no—
456C22×C4—32no—
457C22×C4—38no—
458C22×C4—38no—
459C22×C4—34no—
460C22×C4—68no—
461C22×C4—122no—
462C22×C4—124no—
463C22×C4C22×C3×D312yes—
464C22×C4C22×C3×D311yescharacteristic
465C4⋊C4—38no—
466C4⋊C4—38no—
467C4⋊C4—38no—
468C4⋊C4—38no—
469C22⋊C4—38no—
470C22⋊C4—38no—
471C22⋊C4—38no—
472C22⋊C4—38no—
473C22⋊C4—38no—
474C22⋊C4—34no—
475C22⋊C4C22×C3×D318yes—
476C22⋊C4C22×C3×D314yes—
477C42—34no—
478C42—38no—
479C22×C3—24no—
480C22×C3—24no—
481C22×C3—24no—
482C22×C3—24no—
483C22×C3—216no—
484C22×C3—216no—
485C22×C3—24no—
486C22×C3—24no—
487C22×C3—24no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—24no—
491C22×C3—24no—
492C22×C3—22no—
493C22×C3—22no—
494C22×C3—24no—
495C22×C3—28no—
496C22×C3—22no—
497C22×C3—21no—
498C22×C3—416no—
499C22×C3—44no—
500C22×C3—44no—
501C22×C3—44no—
502C22×C3—44no—
503C22×C3—42no—
504C22×C3—416no—
505C22×C3—416no—
506C22×C3—48no—
507C22×C3—432no—
508C22×C3—44no—
509C22×C3—44no—
510C22×C3—44no—
511C22×C3—44no—
512C22×C3—84no—
513C22×C3C2×#23718yes—
514C22×C3C2×#23714yes—
515C22×C3#100412yes—
516C22×C3C2×C3×#4118yes—
517C22×C3C2×C3×#4114yes—
518C22×C3C3×H(5,𝔽2)12yes—
519C22×C3C24×D311yescharacteristic
520C22×C3C25×C311yescharacteristic
521C3×C4—24no—
522C3×C4—22no—
523C3×C4—24no—
524C3×C4—22no—
525C3×C4—44no—
526C3×C4—42no—
527C3×C4—64no—
528C3×C4—64no—
529C3×C4—64no—
530C3×C4—64no—
531Dic3—24no—
532Dic3—24no—
533Dic3—24no—
534Dic3—24no—
535C32C2×#55111yescharacteristic, complemented, Sylow
536C23—24no—
537C23—24no—
538C23—24no—
539C23—216no—
540C23—24no—
541C23—22no—
542C23—22no—
543C23—44no—
544C23—416no—
545C23C3×#23718yes—
546C23C23×C3×D312yes—
547C23C23×C3×D312yes—
548C23C23×C3×D314yes—
549C23C23×C3×D311yescharacteristic
550Q8—124no—
551D4—216no—
552D4—44no—
553C2×C4—24no—
554C2×C4—22no—
555C2×C4—34no—
556C2×C4—34no—
557C2×C4—34no—
558C2×C4—34no—
559C2×C4—616no—
560C2×C4—64no—
561C2×C4—64no—
562C2×C4—64no—
563C2×C4—64no—
564C2×C4—124no—
565C2×C4—128no—
566C2×C4C23×C3×D314yes—
567C2×C4C23×C3×D312yes—
568C2×C3—28no—
569C2×C3—28no—
570C2×C3—24no—
571C2×C3—22no—
572C2×C3—21no—
573C2×C3—48no—
574C2×C3—44no—
575C2×C3—42no—
576C2×C3—42no—
577C2×C3—42no—
578C2×C3—42no—
579C2×C3—82no—
580C2×C3#558714yesdirect product factor
581C2×C3C3×#55114yescomplemented
582C2×C3C22×#23712yes—
583C2×C3C2×#100411yescharacteristic
584C2×C3C22×C3×#4112yes—
585C2×C3C2×C3×H(5,𝔽2)11yescharacteristic
586C22—216no—
587C22—24no—
588C22—24no—
589C22—24no—
590C22—24no—
591C22—22no—
592C22—22no—
593C22—416no—
594C22—44no—
595C22—44no—
596C22C2×C3×#23718yes—
597C22C2×C3×#23714yes—
598C22C3×#100412yes—
599C22C24×C3×D311yescharacteristic
600C4—24no—
601C4—22no—
602C4—64no—
603C4—64no—
604C4—64no—
605C4—64no—
606C3—21no—
607C3C2×#558711yescharacteristic, direct product factor
608C3C2×C3×#55111yescharacteristic, complemented
609C2—28no—
610C2—42no—
611C2—42no—
612C2C3×#558714yesdirect product factor
613C2C22×C3×#23712yes—
614C2C2×C3×#100411yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
Fitting, prime radicalC2×C32×#120C2
socleC23×C32C24
hypercenterC2×C3×#120D3
hypocenterC3C2×C3×#551
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×#120

Complements

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

NH ≅ G/Ntype
2. C22×C3×#217C2semidirect
3. C2×C3×#936C2semidirect
4. C2×C3×#935C2semidirect
5. C2×C3×#935C2semidirect
6. C2×C3×D4×Dic3C2semidirect
7. C3×#5587C2direct (N × H)
8. C2×C3×#879C2semidirect
9. C2×C3×#878C2semidirect
10. C2×C3×#877C2semidirect
12. C2×#5587C3direct (N × H)
18. C23×C3×Dic3C22semidirect
19. C22×C3×Dic6C22semidirect
27. C2×C3×#217C22semidirect
28. C2×C3×#217C22semidirect
29. C2×C3×#217C22semidirect
30. C3×#936C22semidirect
31. C3×#935C22semidirect
32. C3×#935C22semidirect
33. C3×D4×Dic3C22semidirect
34. C2×C3×C4⋊Dic3C22semidirect
35. C2×C3×Dic3⋊C4C22semidirect
36. C2×C3×Dic3⋊C4C22semidirect
37. C2×C3×Dic3⋊C4C22semidirect
38. C2×C3×C4×Dic3C22semidirect
39. C2×C3×C4×Dic3C22semidirect
40. C3×#879C22semidirect
41. C3×#878C22semidirect
42. C3×#877C22semidirect
55. C22×#217C2×C3semidirect
56. C2×#936C2×C3semidirect
57. C2×#935C2×C3semidirect
58. C2×#935C2×C3semidirect
59. C2×D4×Dic3C2×C3semidirect
60. #5587C2×C3direct (N × H)
61. C2×#879C2×C3semidirect
62. C2×#878C2×C3semidirect
63. C2×#877C2×C3semidirect
85. C22×C3×Dic3C23semidirect
87. C2×C3×Dic6C23semidirect
94. C3×#217C23semidirect
95. C3×#217C23semidirect
96. C3×C4⋊Dic3C23semidirect
97. C3×Dic3⋊C4C23semidirect
98. C3×Dic3⋊C4C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. C3×C4×Dic3C23semidirect
101. C3×C4×Dic3C23semidirect
118. C23×Dic3C22×C3semidirect
119. C22×Dic6C22×C3semidirect
153. C2×#217C22×C3semidirect
154. C2×#217C22×C3semidirect
155. C2×#217C22×C3semidirect
156. #936C22×C3semidirect
157. #935C22×C3semidirect
158. #935C22×C3semidirect
159. D4×Dic3C22×C3semidirect
160. C2×C4⋊Dic3C22×C3semidirect
161. C2×Dic3⋊C4C22×C3semidirect
162. C2×Dic3⋊C4C22×C3semidirect
163. C2×Dic3⋊C4C22×C3semidirect
164. C2×C4×Dic3C22×C3semidirect
165. C2×C4×Dic3C22×C3semidirect
166. #879C22×C3semidirect
167. #878C22×C3semidirect
168. #877C22×C3semidirect
268. C22×Dic3C23×C3semidirect
270. C2×Dic6C23×C3semidirect
293. #217C23×C3semidirect
294. #217C23×C3semidirect
295. C4⋊Dic3C23×C3semidirect
296. Dic3⋊C4C23×C3semidirect
297. Dic3⋊C4C23×C3semidirect
298. Dic3⋊C4C23×C3semidirect
299. C4×Dic3C23×C3semidirect
300. C4×Dic3C23×C3semidirect
438. C2×C32#551semidirect
535. C32C2×#551semidirect
580. C2×C3#5587direct (N × H)
581. C2×C3C3×#551semidirect
607. C3C2×#5587direct (N × H)
608. C3C2×C3×#551semidirect
612. C2C3×#5587direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1202
C22×C3×#2172
C2×C3×#9362
C2×C3×#9352
C2×C3×D4×Dic32
C3×#55872
C2×C3×#8792
C2×C3×#8782
C2×C3×#8772
C2×C3×#5513
C2×#55873