Finite Group Databasebeta

← C2×C3×#5625 #11901546

Subgroups — C2×C3×#5625 #11901546

Order 1152.

2169 conjugacy classes of subgroups.

The subgroup lattice has 596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C22⋊Q8C211yesmaximal, characteristic
2C2×C3×Q8×Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#944C211yesmaximal, characteristic, complemented
4C2×C3×#926C211yesmaximal, characteristic
5C2×C3×#924C211yesmaximal, characteristic
6C3×#5625C2116yesmaximal, direct product factor
7C2×C3×#890C212yesmaximal, complemented
8C2×C3×#890C211yesmaximal, characteristic, complemented
9C2×C3×#889C212yesmaximal, complemented
10C2×C3×#887C211yesmaximal, characteristic, complemented
11C2×C3×#879C212yesmaximal
12C2×C3×#879C212yesmaximal
13C2×C3×#541—31nomaximal
14C2×#5625C311yesmaximal, characteristic, direct product factor
15C22×C32×Q8C2211yescharacteristic
16C23×C32×C4C2211yescharacteristic
17C22×C3×Dic6C2211yescharacteristic
18C32×C22⋊Q8C2218yes—
19C2×C32×C4⋊C4C2211yescharacteristic
20C2×C32×C4⋊C4C2212yes—
21C2×C32×C22⋊C4C2212yes—
22C2×C3×#217C2212yes—
23C2×C3×#217C2211yescharacteristic
24C2×C3×#217C2211yescharacteristic
25C3×Q8×Dic3C2218yescomplemented
26C3×#944C2218yescomplemented
27C3×#926C2218yes—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4⋊Dic3C2212yes—
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2212yes—
33C3×#924C2218yes—
34C2×C3×Dic3⋊C4C2212yes—
35C2×C3×Dic3⋊C4C2212yes—
36C2×C3×Dic3⋊C4C2212yes—
37C2×C3×Dic3⋊C4C2212yes—
38C2×C3×Dic3⋊C4C2212yes—
39C2×C3×C4×Dic3C2212yes—
40C2×C3×C4×Dic3C2211yescharacteristic
41C2×C3×C4×Dic3C2212yes—
42C2×C3×C4×Dic3C2211yescharacteristic
43C3×#890C22116yescomplemented
44C3×#890C2218yescomplemented
45C3×#889C22116yescomplemented
46C3×#887C2218yescomplemented
47C3×#879C22116yes—
48C3×#879C22116yes—
49C3×#541—316no—
50C2×C3×C4⋊Q8—31no—
51C2×C3×#126—32no—
52C2×C3×#126—32no—
53C2×C3×#125—32no—
54C2×C3×#125—31no—
55C2×C3×#125—32no—
56C2×C3×C22⋊Q8—21no—
57C2×C3×C22⋊Q8—31no—
58C2×C3×C22⋊Q8D311yescharacteristic
59C2×C3×C22⋊Q8C2×C311yescharacteristic
60C2×C3×C4×Q8—31no—
61C2×C3×C4×Q8—31no—
62C2×C3×#117—31no—
63C2×Q8×Dic3C2×C311yescharacteristic, complemented
64C2×#944C2×C311yescharacteristic, complemented
65C2×#926C2×C311yescharacteristic
66C2×#924C2×C311yescharacteristic
67#5625C2×C3116yesdirect product factor
68C2×#890C2×C312yescomplemented
69C2×#890C2×C311yescharacteristic, complemented
70C2×#889C2×C312yescomplemented
71C2×#887C2×C311yescharacteristic, complemented
72C2×#879C2×C312yes—
73C2×#879C2×C312yes—
74C24×C32C2311yescharacteristic
75C2×C32×Q8—24no—
76C2×C32×Q8C2314yes—
77C22×C32×C4—24no—
78C22×C32×C4C2312yes—
79C22×C32×C4C2312yes—
80C22×C32×C4C2311yescharacteristic
81C22×C32×C4C2314yes—
82C22×C32×C4C2311yescharacteristic
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2311yescharacteristic
89C2×C3×Dic6—24no—
90C2×C3×Dic6C2314yes—
91C32×C4⋊C4C2314yes—
92C32×C4⋊C4C2318yes—
93C32×C22⋊C4C2318yes—
94C3×#217C2318yes—
95C3×#217C2314yes—
96C3×#217C2314yes—
97C3×C4⋊Dic3C2318yes—
98C3×C4⋊Dic3C2318yes—
99C3×C4⋊Dic3C2314yes—
100C3×C4⋊Dic3C2314yes—
101C3×C4⋊Dic3C2314yes—
102C3×Dic3⋊C4C2318yes—
103C3×Dic3⋊C4C2318yes—
104C3×Dic3⋊C4C2318yes—
105C3×Dic3⋊C4C2318yes—
106C3×Dic3⋊C4C2318yes—
107C3×C4×Dic3C2318yes—
108C3×C4×Dic3C2318yes—
109C3×C4×Dic3C2314yes—
110C3×C4×Dic3C2314yes—
111C2×#541—31noSylow
112C22×C3×Q8—21no—
113C22×C3×Q8—31no—
114C22×C3×Q8C2×D311yescharacteristic
115C22×C3×Q8C22×C311yescharacteristic
116C23×C3×C4—21no—
117C23×C3×C4C2×D311yescharacteristic
118C23×C3×C4C22×C311yescharacteristic
119C22×Dic6C22×C311yescharacteristic
120C3×C4⋊Q8—38no—
121C3×#126—316no—
122C3×#126—316no—
123C3×#125—316no—
124C3×#125—38no—
125C3×#125—316no—
126C3×C22⋊Q8—28no—
127C3×C22⋊Q8—38no—
128C3×C22⋊Q8C2×D318yes—
129C3×C22⋊Q8C22×C318yes—
130C3×C4×Q8—38no—
131C3×C4×Q8—38no—
132C3×#117—38no—
133C2×C3×C4⋊C4—21no—
134C2×C3×C4⋊C4—22no—
135C2×C3×C4⋊C4—32no—
136C2×C3×C4⋊C4—32no—
137C2×C3×C4⋊C4—32no—
138C2×C3×C4⋊C4—32no—
139C2×C3×C4⋊C4—32no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C4⋊C4—32no—
144C2×C3×C4⋊C4—32no—
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C4⋊C4C2×D312yes—
147C2×C3×C4⋊C4C22×C311yescharacteristic
148C2×C3×C4⋊C4C22×C312yes—
149C2×C3×C22⋊C4—22no—
150C2×C3×C22⋊C4—31no—
151C2×C3×C22⋊C4—31no—
152C2×C3×C22⋊C4—32no—
153C2×C3×C22⋊C4C2×D312yes—
154C2×C3×C22⋊C4C22×C312yes—
155C2×C3×C42—31no—
156C2×C3×C42—31no—
157C2×C3×C42—32no—
158C2×C3×C42—32no—
159C2×#217C22×C312yes—
160C2×#217C22×C311yescharacteristic
161C2×#217C22×C311yescharacteristic
162Q8×Dic3C22×C318yescomplemented
163#944C22×C318yescomplemented
164#926C22×C318yes—
165C2×C4⋊Dic3C22×C312yes—
166C2×C4⋊Dic3C22×C312yes—
167C2×C4⋊Dic3C22×C311yescharacteristic
168C2×C4⋊Dic3C22×C311yescharacteristic
169C2×C4⋊Dic3C22×C311yescharacteristic
170#924C22×C318yes—
171C2×Dic3⋊C4C22×C312yes—
172C2×Dic3⋊C4C22×C312yes—
173C2×Dic3⋊C4C22×C312yes—
174C2×Dic3⋊C4C22×C312yes—
175C2×Dic3⋊C4C22×C312yes—
176C2×C4×Dic3C22×C312yes—
177C2×C4×Dic3C22×C312yes—
178C2×C4×Dic3C22×C311yescharacteristic
179C2×C4×Dic3C22×C311yescharacteristic
180#890C22×C3116yescomplemented
181#890C22×C318yescomplemented
182#889C22×C3116yescomplemented
183#887C22×C318yescomplemented
184#879C22×C3116yes—
185#879C22×C3116yes—
186C23×C32—22no—
187C23×C32—22no—
188C23×C32—22no—
189C23×C32C2412yes—
190C23×C32C2411yescharacteristic
191C32×Q8—28no—
192C2×C32×C4—22no—
193C2×C32×C4—24no—
194C2×C32×C4—24no—
195C2×C32×C4—28no—
196C2×C32×C4#4114yes—
197C2×C32×C4C2414yes—
198C2×C32×C4C2414yes—
199C2×C32×C4C2412yes—
200C2×C32×C4C2412yes—
201C2×C3×Dic3—24no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—24no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3C2412yes—
208C2×C3×Dic3C2412yes—
209C2×C3×Dic3C2412yes—
210C2×C3×Dic3C2414yes—
211C2×C3×Dic3C2414yes—
212C2×C3×Dic3C2412yes—
213C3×Dic6—28no—
214#541—316no—
215C2×C4⋊Q8—31no—
216C2×#126—32no—
217C2×#126—32no—
218C2×#125—32no—
219C2×#125—31no—
220C2×#125—32no—
221C2×C22⋊Q8—31no—
222C2×C22⋊Q8C3×D311yescharacteristic
223C2×C4×Q8—31no—
224C2×C4×Q8—31no—
225C2×#117—31no—
226C24×C3—21no—
227C24×C3C22×D311yescharacteristic
228C24×C3C23×C311yescharacteristic
229C2×C3×Q8—24no—
230C2×C3×Q8—24no—
231C2×C3×Q8—24no—
232C2×C3×Q8—34no—
233C2×C3×Q8—44no—
234C2×C3×Q8—64no—
235C2×C3×Q8C22×D314yes—
236C2×C3×Q8C23×C314yes—
237C22×C3×C4—24no—
238C22×C3×C4—24no—
239C22×C3×C4—21no—
240C22×C3×C4—22no—
241C22×C3×C4—22no—
242C22×C3×C4—21no—
243C22×C3×C4—24no—
244C22×C3×C4—31no—
245C22×C3×C4—31no—
246C22×C3×C4—31no—
247C22×C3×C4—32no—
248C22×C3×C4—31no—
249C22×C3×C4—32no—
250C22×C3×C4—44no—
251C22×C3×C4C22×D314yes—
252C22×C3×C4C22×D312yes—
253C22×C3×C4C22×D312yes—
254C22×C3×C4C22×D311yescharacteristic
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C23×C312yes—
257C22×C3×C4C23×C312yes—
258C22×C3×C4C23×C311yescharacteristic
259C22×C3×C4C23×C314yes—
260C22×C3×C4C23×C311yescharacteristic
261C22×Dic3C23×C311yescharacteristic
262C22×Dic3C23×C311yescharacteristic
263C22×Dic3C23×C311yescharacteristic
264C22×Dic3C23×C312yes—
265C22×Dic3C23×C312yes—
266C22×Dic3C23×C311yescharacteristic
267C2×Dic6—24no—
268C2×Dic6C23×C314yes—
269C3×C4⋊C4—24no—
270C3×C4⋊C4—28no—
271C3×C4⋊C4—38no—
272C3×C4⋊C4—38no—
273C3×C4⋊C4—38no—
274C3×C4⋊C4—38no—
275C3×C4⋊C4—38no—
276C3×C4⋊C4—34no—
277C3×C4⋊C4—34no—
278C3×C4⋊C4—34no—
279C3×C4⋊C4—38no—
280C3×C4⋊C4—38no—
281C3×C4⋊C4C22×D314yes—
282C3×C4⋊C4C22×D318yes—
283C3×C4⋊C4C23×C314yes—
284C3×C4⋊C4C23×C318yes—
285C3×C22⋊C4—28no—
286C3×C22⋊C4—34no—
287C3×C22⋊C4—34no—
288C3×C22⋊C4—38no—
289C3×C22⋊C4C22×D318yes—
290C3×C22⋊C4C23×C318yes—
291C3×C42—34no—
292C3×C42—34no—
293C3×C42—38no—
294C3×C42—38no—
295#217C23×C318yes—
296#217C23×C314yes—
297#217C23×C314yes—
298C4⋊Dic3C23×C318yes—
299C4⋊Dic3C23×C318yes—
300C4⋊Dic3C23×C314yes—
301C4⋊Dic3C23×C314yes—
302C4⋊Dic3C23×C314yes—
303Dic3⋊C4C23×C318yes—
304Dic3⋊C4C23×C318yes—
305Dic3⋊C4C23×C318yes—
306Dic3⋊C4C23×C318yes—
307Dic3⋊C4C23×C318yes—
308C4×Dic3C23×C318yes—
309C4×Dic3C23×C318yes—
310C4×Dic3C23×C314yes—
311C4×Dic3C23×C314yes—
312C22×C32—22no—
313C22×C32—22no—
314C22×C32—22no—
315C22×C32—44no—
316C22×C32C2×#4112yes—
317C22×C322−1+412yes—
318C22×C322−1+412yes—
319C22×C32C2511yescharacteristic
320C32×C4—22no—
321C32×C4—24no—
322C32×C4—24no—
323C32×C4C2×#4114yes—
324C3×Dic3—24no—
325C3×Dic3—22no—
326C3×Dic3—24no—
327C3×Dic3—22no—
328C3×Dic3—22no—
329C3×Dic3—22no—
330C22×Q8—31no—
331C22×Q8C2×C3×D311yescharacteristic
332C23×C4C2×C3×D311yescharacteristic
333C4⋊Q8—38no—
334#126—316no—
335#126—316no—
336#125—316no—
337#125—38no—
338#125—316no—
339C22⋊Q8—38no—
340C22⋊Q8C2×C3×D318yes—
341C4×Q8—38no—
342C4×Q8—38no—
343#117—38no—
344C2×C4⋊C4—31no—
345C2×C4⋊C4—31no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—32no—
348C2×C4⋊C4—32no—
349C2×C4⋊C4—32no—
350C2×C4⋊C4—32no—
351C2×C4⋊C4—32no—
352C2×C4⋊C4—32no—
353C2×C4⋊C4—32no—
354C2×C4⋊C4C2×C3×D311yescharacteristic
355C2×C4⋊C4C2×C3×D312yes—
356C2×C22⋊C4—31no—
357C2×C22⋊C4—31no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4C2×C3×D312yes—
360C2×C42—31no—
361C2×C42—31no—
362C2×C42—32no—
363C2×C42—32no—
364C23×C3—24no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—21no—
372C23×C3—22no—
373C23×C3—42no—
374C23×C3—42no—
375C23×C3C23×D312yes—
376C23×C3C23×D311yescharacteristic
377C23×C3C24×C312yes—
378C23×C3C24×C311yescharacteristic
379C3×Q8—28no—
380C3×Q8—28no—
381C3×Q8—48no—
382C3×Q8—68no—
383C2×C3×C4—22no—
384C2×C3×C4—24no—
385C2×C3×C4—24no—
386C2×C3×C4—22no—
387C2×C3×C4—24no—
388C2×C3×C4—24no—
389C2×C3×C4—28no—
390C2×C3×C4—28no—
391C2×C3×C4—22no—
392C2×C3×C4—24no—
393C2×C3×C4—24no—
394C2×C3×C4—22no—
395C2×C3×C4—24no—
396C2×C3×C4—32no—
397C2×C3×C4—32no—
398C2×C3×C4—32no—
399C2×C3×C4—34no—
400C2×C3×C4—32no—
401C2×C3×C4—34no—
402C2×C3×C4—48no—
403C2×C3×C4—44no—
404C2×C3×C4—42no—
405C2×C3×C4—44no—
406C2×C3×C4—64no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—64no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4#23714yes—
413C2×C3×C4C3×#4114yes—
414C2×C3×C4C23×D314yes—
415C2×C3×C4C23×D314yes—
416C2×C3×C4C23×D312yes—
417C2×C3×C4C23×D312yes—
418C2×C3×C4C24×C314yes—
419C2×C3×C4C24×C314yes—
420C2×C3×C4C24×C312yes—
421C2×C3×C4C24×C312yes—
422C2×Dic3—24no—
423C2×Dic3—22no—
424C2×Dic3—24no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3C24×C312yes—
429C2×Dic3C24×C312yes—
430C2×Dic3C24×C312yes—
431C2×Dic3C24×C314yes—
432C2×Dic3C24×C314yes—
433C2×Dic3C24×C312yes—
434Dic6—28no—
435C2×C32—42no—
436C2×C32#54114yescomplemented
437C2×C32C22×#4111yescharacteristic
438C2×C32C2×2−1+411yescharacteristic
439C2×C32C2×2−1+411yescharacteristic
440C24C22×C3×D311yescharacteristic
441C2×Q8—24no—
442C2×Q8—34no—
443C2×Q8—64no—
444C2×Q8C22×C3×D314yes—
445C22×C4—24no—
446C22×C4—31no—
447C22×C4—31no—
448C22×C4—31no—
449C22×C4—32no—
450C22×C4—31no—
451C22×C4—32no—
452C22×C4C22×C3×D312yes—
453C22×C4C22×C3×D312yes—
454C22×C4C22×C3×D311yescharacteristic
455C22×C4C22×C3×D314yes—
456C22×C4C22×C3×D311yescharacteristic
457C4⋊C4—34no—
458C4⋊C4—34no—
459C4⋊C4—34no—
460C4⋊C4—38no—
461C4⋊C4—38no—
462C4⋊C4—38no—
463C4⋊C4—38no—
464C4⋊C4—38no—
465C4⋊C4—38no—
466C4⋊C4—38no—
467C4⋊C4C22×C3×D314yes—
468C4⋊C4C22×C3×D318yes—
469C22⋊C4—34no—
470C22⋊C4—34no—
471C22⋊C4—38no—
472C22⋊C4C22×C3×D318yes—
473C42—34no—
474C42—34no—
475C42—38no—
476C42—38no—
477C22×C3—24no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—22no—
481C22×C3—22no—
482C22×C3—22no—
483C22×C3—22no—
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—21no—
488C22×C3—42no—
489C22×C3—42no—
490C22×C3—48no—
491C22×C3—44no—
492C22×C3—44no—
493C22×C3C2×#23712yes—
494C22×C3#100712yes—
495C22×C3#101012yes—
496C22×C3C2×C3×#4112yes—
497C22×C3C3×2−1+412yes—
498C22×C3C3×2−1+412yes—
499C22×C3C24×D311yescharacteristic
500C22×C3C25×C311yescharacteristic
501C3×C4—22no—
502C3×C4—24no—
503C3×C4—24no—
504C3×C4—22no—
505C3×C4—24no—
506C3×C4—24no—
507C3×C4—24no—
508C3×C4—42no—
509C3×C4—44no—
510C3×C4—44no—
511C3×C4—64no—
512C3×C4—62no—
513C3×C4—62no—
514C3×C4—64no—
515C3×C4—62no—
516C3×C4—62no—
517C3×C4C2×#23714yes—
518C3×C4C2×C3×#4114yes—
519Dic3—24no—
520Dic3—22no—
521Dic3—24no—
522Dic3—22no—
523Dic3—22no—
524Dic3—22no—
525C32C2×#54111yescharacteristic, complemented, Sylow
526C23—22no—
527C23—22no—
528C23—22no—
529C23C23×C3×D312yes—
530C23C23×C3×D311yescharacteristic
531Q8—28no—
532Q8—68no—
533C2×C4—22no—
534C2×C4—24no—
535C2×C4—24no—
536C2×C4—28no—
537C2×C4—32no—
538C2×C4—32no—
539C2×C4—32no—
540C2×C4—34no—
541C2×C4—32no—
542C2×C4—34no—
543C2×C4—64no—
544C2×C4—62no—
545C2×C4—62no—
546C2×C4—64no—
547C2×C4—62no—
548C2×C4—62no—
549C2×C4C3×#23714yes—
550C2×C4C23×C3×D314yes—
551C2×C4C23×C3×D314yes—
552C2×C4C23×C3×D312yes—
553C2×C4C23×C3×D312yes—
554C2×C3—21no—
555C2×C3—21no—
556C2×C3—21no—
557C2×C3—24no—
558C2×C3—44no—
559C2×C3—42no—
560C2×C3—42no—
561C2×C3#562514yesdirect product factor
562C2×C3C3×#54114yescomplemented
563C2×C3C22×#23711yescharacteristic
564C2×C3C2×#100711yescharacteristic
565C2×C3C2×#101011yescharacteristic
566C2×C3C22×C3×#4111yescharacteristic
567C2×C3C2×C3×2−1+411yescharacteristic
568C2×C3C2×C3×2−1+411yescharacteristic
569C22—22no—
570C22—22no—
571C22—22no—
572C22—44no—
573C22C2×C3×#23712yes—
574C22C3×#100712yes—
575C22C3×#101012yes—
576C22C24×C3×D311yescharacteristic
577C4—22no—
578C4—24no—
579C4—24no—
580C4—64no—
581C4—62no—
582C4—62no—
583C4—64no—
584C4—62no—
585C4—62no—
586C4C2×C3×#23714yes—
587C3—21no—
588C3C2×#562511yescharacteristic, direct product factor
589C3C2×C3×#54111yescharacteristic, complemented
590C2—42no—
591C2C3×#562514yesdirect product factor
592C2C22×C3×#23711yescharacteristic
593C2C2×C3×#100711yescharacteristic
594C2C2×C3×#101011yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC2×C32×C22⋊Q8C2
socleC23×C32C24
prime radicalC24×C32C23
hypercenterC2×C3×C22⋊Q8D3
hypocenterC3C2×C3×#541
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×C3×Q8×Dic3C2semidirect
3. C2×C3×#944C2semidirect
6. C3×#5625C2direct (N × H)
7. C2×C3×#890C2semidirect
8. C2×C3×#890C2semidirect
9. C2×C3×#889C2semidirect
10. C2×C3×#887C2semidirect
14. C2×#5625C3direct (N × H)
25. C3×Q8×Dic3C22semidirect
26. C3×#944C22semidirect
43. C3×#890C22semidirect
44. C3×#890C22semidirect
45. C3×#889C22semidirect
46. C3×#887C22semidirect
63. C2×Q8×Dic3C2×C3semidirect
64. C2×#944C2×C3semidirect
67. #5625C2×C3direct (N × H)
68. C2×#890C2×C3semidirect
69. C2×#890C2×C3semidirect
70. C2×#889C2×C3semidirect
71. C2×#887C2×C3semidirect
162. Q8×Dic3C22×C3semidirect
163. #944C22×C3semidirect
180. #890C22×C3semidirect
181. #890C22×C3semidirect
182. #889C22×C3semidirect
183. #887C22×C3semidirect
436. C2×C32#541semidirect
525. C32C2×#541semidirect
561. C2×C3#5625direct (N × H)
562. C2×C3C3×#541semidirect
588. C3C2×#5625direct (N × H)
589. C3C2×C3×#541semidirect
591. C2C3×#5625direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×C22⋊Q82
C2×C3×Q8×Dic32
C2×C3×#9442
C2×C3×#9262
C2×C3×#9242
C3×#56252
C2×C3×#8902
C2×C3×#8892
C2×C3×#8872
C2×C3×#8792
C2×C3×#5413
C2×#56253