Finite Group Databasebeta

← C2×C3×#5671 #11903358

Subgroups — C2×C3×#5671 #11903358

Order 1152.

2389 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#124C211yesmaximal, characteristic
2C2×C3×Q8×Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#944C211yesmaximal, characteristic, complemented
4C2×C3×#936C211yesmaximal, characteristic
5C2×C3×D4×Dic3C211yesmaximal, characteristic
6C3×#5671C2116yesmaximal, direct product factor
7C2×C3×#879C212yesmaximal, complemented
8C2×C3×#879C212yesmaximal, complemented
9C2×C3×#878C212yesmaximal, complemented
10C2×C3×#877C212yesmaximal, complemented
11C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
12C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
13C2×C3×#556—31nomaximal
14C2×#5671C311yesmaximal, characteristic, direct product factor
15C22×C32×Q8C2211yescharacteristic
16C22×C32×D4C2211yescharacteristic
17C23×C3×Dic3C2212yes—
18C22×C3×Dic6C2211yescharacteristic
19C22×C3×Dic6C2211yescharacteristic
20C32×#124C2218yes—
21C2×C32×C22⋊C4C2212yes—
22C2×C32×C22⋊C4C2212yes—
23C2×C32×C42C2211yescharacteristic
24C2×C3×#217C2212yes—
25C2×C3×#217C2212yes—
26C2×C3×#217C2212yes—
27C3×Q8×Dic3C2218yescomplemented
28C3×#944C2218yescomplemented
29C3×#936C2218yes—
30C3×D4×Dic3C2218yes—
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2212yes—
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C2×C3×Dic3⋊C4C2212yes—
35C2×C3×Dic3⋊C4C2212yes—
36C2×C3×Dic3⋊C4C2211yescharacteristic
37C2×C3×Dic3⋊C4C2212yes—
38C2×C3×Dic3⋊C4C2211yescharacteristic
39C2×C3×C4×Dic3C2211yescharacteristic
40C2×C3×C4×Dic3C2211yescharacteristic
41C2×C3×C4×Dic3C2212yes—
42C2×C3×C4×Dic3C2212yes—
43C3×#879C22116yescomplemented
44C3×#879C22116yescomplemented
45C3×#878C22116yescomplemented
46C3×#877C22116yescomplemented
47C3×C4×Dic6C2218yescomplemented
48C3×C4×Dic6C2218yescomplemented
49C3×#556—316no—
50C2×C3×C4⋊Q8—31no—
51C2×C3×#126—32no—
52C2×C3×#126—32no—
53C2×C3×#124—21no—
54C2×C3×#124—31no—
55C2×C3×#124D311yescharacteristic
56C2×C3×#124C2×C311yescharacteristic
57C2×C3×C22⋊Q8—32no—
58C2×C3×C4×Q8—31no—
59C2×C3×C4×Q8—31no—
60C2×C3×C4×Q8—31no—
61C2×C3×C4×D4—31no—
62C2×C3×#117—32no—
63C2×Q8×Dic3C2×C311yescharacteristic, complemented
64C2×#944C2×C311yescharacteristic, complemented
65C2×#936C2×C311yescharacteristic
66C2×D4×Dic3C2×C311yescharacteristic
67#5671C2×C3116yesdirect product factor
68C2×#879C2×C312yescomplemented
69C2×#879C2×C312yescomplemented
70C2×#878C2×C312yescomplemented
71C2×#877C2×C312yescomplemented
72C2×C4×Dic6C2×C311yescharacteristic, complemented
73C2×C4×Dic6C2×C311yescharacteristic, complemented
74C24×C32C2312yes—
75C2×C32×Q8—24no—
76C2×C32×Q8C2314yes—
77C2×C32×D4—24no—
78C2×C32×D4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C22×C32×C4C2312yes—
81C22×C32×C4C2311yescharacteristic
82C22×C32×C4C2311yescharacteristic
83C22×C3×Dic3—28no—
84C22×C3×Dic3C2318yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C2×C3×Dic6—24no—
92C2×C3×Dic6—24no—
93C2×C3×Dic6C2314yes—
94C2×C3×Dic6C2314yes—
95C32×C22⋊C4C2318yes—
96C32×C22⋊C4C2318yes—
97C32×C42C2314yes—
98C3×#217C2318yes—
99C3×#217C2318yes—
100C3×#217C2318yes—
101C3×C4⋊Dic3C2318yes—
102C3×C4⋊Dic3C2314yes—
103C3×C4⋊Dic3C2314yes—
104C3×Dic3⋊C4C2314yes—
105C3×Dic3⋊C4C2318yes—
106C3×Dic3⋊C4C2318yes—
107C3×Dic3⋊C4C2318yes—
108C3×Dic3⋊C4C2314yes—
109C3×C4×Dic3C2318yes—
110C3×C4×Dic3C2318yes—
111C3×C4×Dic3C2314yes—
112C3×C4×Dic3C2314yes—
113C2×#556—31noSylow
114C22×C3×Q8—21no—
115C22×C3×Q8—31no—
116C22×C3×Q8—31no—
117C22×C3×Q8C2×D311yescharacteristic
118C22×C3×Q8C22×C311yescharacteristic
119C22×C3×D4—21no—
120C22×C3×D4C2×D311yescharacteristic
121C22×C3×D4C22×C311yescharacteristic
122C23×C3×C4—32no—
123C23×Dic3C22×C312yes—
124C22×Dic6C22×C311yescharacteristic
125C22×Dic6C22×C311yescharacteristic
126C3×C4⋊Q8—38no—
127C3×#126—316no—
128C3×#126—316no—
129C3×#124—28no—
130C3×#124—38no—
131C3×#124C2×D318yes—
132C3×#124C22×C318yes—
133C3×C22⋊Q8—316no—
134C3×C4×Q8—38no—
135C3×C4×Q8—38no—
136C3×C4×Q8—38no—
137C3×C4×D4—38no—
138C3×#117—316no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C4⋊C4—32no—
141C2×C3×C4⋊C4—32no—
142C2×C3×C4⋊C4—31no—
143C2×C3×C4⋊C4—32no—
144C2×C3×C4⋊C4—31no—
145C2×C3×C4⋊C4—32no—
146C2×C3×C4⋊C4—31no—
147C2×C3×C22⋊C4—22no—
148C2×C3×C22⋊C4—22no—
149C2×C3×C22⋊C4—32no—
150C2×C3×C22⋊C4—32no—
151C2×C3×C22⋊C4—32no—
152C2×C3×C22⋊C4C2×D312yes—
153C2×C3×C22⋊C4C2×D312yes—
154C2×C3×C22⋊C4C22×C312yes—
155C2×C3×C22⋊C4C22×C312yes—
156C2×C3×C42—21no—
157C2×C3×C42—32no—
158C2×C3×C42—32no—
159C2×C3×C42—31no—
160C2×C3×C42—31no—
161C2×C3×C42C2×D311yescharacteristic
162C2×C3×C42C22×C311yescharacteristic
163C2×#217C22×C312yes—
164C2×#217C22×C312yes—
165C2×#217C22×C312yes—
166Q8×Dic3C22×C318yescomplemented
167#944C22×C318yescomplemented
168#936C22×C318yes—
169D4×Dic3C22×C318yes—
170C2×C4⋊Dic3C22×C311yescharacteristic
171C2×C4⋊Dic3C22×C311yescharacteristic
172C2×C4⋊Dic3C22×C312yes—
173C2×Dic3⋊C4C22×C311yescharacteristic
174C2×Dic3⋊C4C22×C312yes—
175C2×Dic3⋊C4C22×C311yescharacteristic
176C2×Dic3⋊C4C22×C312yes—
177C2×Dic3⋊C4C22×C312yes—
178C2×C4×Dic3C22×C312yes—
179C2×C4×Dic3C22×C311yescharacteristic
180C2×C4×Dic3C22×C311yescharacteristic
181C2×C4×Dic3C22×C312yes—
182#879C22×C3116yescomplemented
183#879C22×C3116yescomplemented
184#878C22×C3116yescomplemented
185#877C22×C3116yescomplemented
186C4×Dic6C22×C318yescomplemented
187C4×Dic6C22×C318yescomplemented
188C23×C32—24no—
189C23×C32—24no—
190C23×C32—24no—
191C23×C32C2414yes—
192C23×C32C2411yescharacteristic
193C32×Q8—28no—
194C32×D4—28no—
195C2×C32×C4—22no—
196C2×C32×C4—24no—
197C2×C32×C4—22no—
198C2×C32×C4#4114yes—
199C2×C32×C4C2412yes—
200C2×C32×C4C2414yes—
201C2×C32×C4C2412yes—
202C2×C32×C4C2412yes—
203C2×C3×Dic3—24no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—24no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—216no—
209C2×C3×Dic3#4114yes—
210C2×C3×Dic3C2412yes—
211C2×C3×Dic3C2414yes—
212C2×C3×Dic3C2412yes—
213C2×C3×Dic3C2414yes—
214C2×C3×Dic3C2412yes—
215C2×C3×Dic3C2412yes—
216C3×Dic6—28no—
217C3×Dic6—28no—
218#556—316no—
219C2×C4⋊Q8—31no—
220C2×#126—32no—
221C2×#126—32no—
222C2×#124—31no—
223C2×#124C3×D311yescharacteristic
224C2×C22⋊Q8—32no—
225C2×C4×Q8—31no—
226C2×C4×Q8—31no—
227C2×C4×Q8—31no—
228C2×C4×D4—31no—
229C2×#117—32no—
230C24×C3—22no—
231C24×C3C22×D312yes—
232C24×C3C23×C312yes—
233C2×C3×Q8—24no—
234C2×C3×Q8—24no—
235C2×C3×Q8—24no—
236C2×C3×Q8—34no—
237C2×C3×Q8—34no—
238C2×C3×Q8—44no—
239C2×C3×Q8—64no—
240C2×C3×Q8—64no—
241C2×C3×Q8C22×D314yes—
242C2×C3×Q8C23×C314yes—
243C2×C3×D4—24no—
244C2×C3×D4—24no—
245C2×C3×D4—24no—
246C2×C3×D4—44no—
247C2×C3×D4C22×D314yes—
248C2×C3×D4C23×C314yes—
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—22no—
253C22×C3×C4—31no—
254C22×C3×C4—38no—
255C22×C3×C4—31no—
256C22×C3×C4—32no—
257C22×C3×C4—31no—
258C22×C3×C4—32no—
259C22×C3×C4—31no—
260C22×C3×C4—68no—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D312yes—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C23×C311yescharacteristic
266C22×C3×C4C23×C312yes—
267C22×C3×C4C23×C311yescharacteristic
268C22×C3×C4C23×C311yescharacteristic
269C22×Dic3—28no—
270C22×Dic3C23×C318yes—
271C22×Dic3C23×C311yescharacteristic
272C22×Dic3C23×C312yes—
273C22×Dic3C23×C311yescharacteristic
274C22×Dic3C23×C312yes—
275C22×Dic3C23×C311yescharacteristic
276C22×Dic3C23×C311yescharacteristic
277C2×Dic6—24no—
278C2×Dic6—24no—
279C2×Dic6C23×C314yes—
280C2×Dic6C23×C314yes—
281C3×C4⋊C4—34no—
282C3×C4⋊C4—38no—
283C3×C4⋊C4—38no—
284C3×C4⋊C4—34no—
285C3×C4⋊C4—38no—
286C3×C4⋊C4—34no—
287C3×C4⋊C4—38no—
288C3×C4⋊C4—34no—
289C3×C22⋊C4—28no—
290C3×C22⋊C4—28no—
291C3×C22⋊C4—38no—
292C3×C22⋊C4—38no—
293C3×C22⋊C4—38no—
294C3×C22⋊C4C22×D318yes—
295C3×C22⋊C4C22×D318yes—
296C3×C22⋊C4C23×C318yes—
297C3×C22⋊C4C23×C318yes—
298C3×C42—24no—
299C3×C42—38no—
300C3×C42—38no—
301C3×C42—34no—
302C3×C42—34no—
303C3×C42C22×D314yes—
304C3×C42C23×C314yes—
305#217C23×C318yes—
306#217C23×C318yes—
307#217C23×C318yes—
308C4⋊Dic3C23×C314yes—
309C4⋊Dic3C23×C314yes—
310C4⋊Dic3C23×C318yes—
311Dic3⋊C4C23×C314yes—
312Dic3⋊C4C23×C318yes—
313Dic3⋊C4C23×C314yes—
314Dic3⋊C4C23×C318yes—
315Dic3⋊C4C23×C318yes—
316C4×Dic3C23×C318yes—
317C4×Dic3C23×C314yes—
318C4×Dic3C23×C314yes—
319C4×Dic3C23×C318yes—
320C22×C32—24no—
321C22×C32—24no—
322C22×C32—24no—
323C22×C32—48no—
324C22×C32C2×#4112yes—
325C22×C32C2×#4112yes—
326C22×C322−1+412yes—
327C22×C32C2511yescharacteristic
328C32×C4—22no—
329C32×C4—24no—
330C32×C4—22no—
331C32×C4C2×#4114yes—
332C3×Dic3—24no—
333C3×Dic3—22no—
334C3×Dic3—24no—
335C3×Dic3—22no—
336C3×Dic3—22no—
337C3×Dic3C2×#4114yes—
338C22×Q8—31no—
339C22×Q8—31no—
340C22×Q8C2×C3×D311yescharacteristic
341C22×D4C2×C3×D311yescharacteristic
342C23×C4—32no—
343C4⋊Q8—38no—
344#126—316no—
345#126—316no—
346#124—38no—
347#124C2×C3×D318yes—
348C22⋊Q8—316no—
349C4×Q8—38no—
350C4×Q8—38no—
351C4×Q8—38no—
352C4×D4—38no—
353#117—316no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—32no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—32no—
358C2×C4⋊C4—32no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—32no—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4C2×C3×D312yes—
366C2×C22⋊C4C2×C3×D312yes—
367C2×C42—32no—
368C2×C42—32no—
369C2×C42—31no—
370C2×C42—31no—
371C2×C42C2×C3×D311yescharacteristic
372C23×C3—24no—
373C23×C3—24no—
374C23×C3—24no—
375C23×C3—24no—
376C23×C3—24no—
377C23×C3—24no—
378C23×C3—21no—
379C23×C3—24no—
380C23×C3—44no—
381C23×C3—44no—
382C23×C3—44no—
383C23×C3C23×D314yes—
384C23×C3C23×D311yescharacteristic
385C23×C3C24×C314yes—
386C23×C3C24×C311yescharacteristic
387C3×Q8—28no—
388C3×Q8—28no—
389C3×Q8—48no—
390C3×Q8—68no—
391C3×Q8—68no—
392C3×D4—28no—
393C3×D4—28no—
394C3×D4—48no—
395C2×C3×C4—24no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—24no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—34no—
407C2×C3×C4—32no—
408C2×C3×C4—32no—
409C2×C3×C4—34no—
410C2×C3×C4—32no—
411C2×C3×C4—34no—
412C2×C3×C4—32no—
413C2×C3×C4—42no—
414C2×C3×C4—42no—
415C2×C3×C4—44no—
416C2×C3×C4—616no—
417C2×C3×C4—64no—
418C2×C3×C4—64no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4#23714yes—
423C2×C3×C4C3×#4114yes—
424C2×C3×C4C23×D312yes—
425C2×C3×C4C23×D314yes—
426C2×C3×C4C23×D312yes—
427C2×C3×C4C23×D312yes—
428C2×C3×C4C24×C312yes—
429C2×C3×C4C24×C314yes—
430C2×C3×C4C24×C312yes—
431C2×C3×C4C24×C312yes—
432C2×Dic3—24no—
433C2×Dic3—22no—
434C2×Dic3—24no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—216no—
438C2×Dic3C3×#4114yes—
439C2×Dic3C24×C312yes—
440C2×Dic3C24×C314yes—
441C2×Dic3C24×C312yes—
442C2×Dic3C24×C314yes—
443C2×Dic3C24×C312yes—
444C2×Dic3C24×C312yes—
445Dic6—28no—
446Dic6—28no—
447C2×C32—44no—
448C2×C32#55614yescomplemented
449C2×C32C22×#4111yescharacteristic
450C2×C32C22×#4111yescharacteristic
451C2×C32C2×2−1+411yescharacteristic
452C24C22×C3×D312yes—
453C2×Q8—24no—
454C2×Q8—34no—
455C2×Q8—34no—
456C2×Q8—64no—
457C2×Q8—64no—
458C2×Q8C22×C3×D314yes—
459C2×D4—24no—
460C2×D4C22×C3×D314yes—
461C22×C4—31no—
462C22×C4—31no—
463C22×C4—32no—
464C22×C4—31no—
465C22×C4—32no—
466C22×C4—31no—
467C22×C4—38no—
468C22×C4—68no—
469C22×C4C22×C3×D311yescharacteristic
470C22×C4C22×C3×D312yes—
471C22×C4C22×C3×D311yescharacteristic
472C22×C4C22×C3×D311yescharacteristic
473C4⋊C4—34no—
474C4⋊C4—38no—
475C4⋊C4—34no—
476C4⋊C4—38no—
477C4⋊C4—38no—
478C4⋊C4—34no—
479C4⋊C4—34no—
480C4⋊C4—38no—
481C22⋊C4—38no—
482C22⋊C4—38no—
483C22⋊C4—38no—
484C22⋊C4C22×C3×D318yes—
485C22⋊C4C22×C3×D318yes—
486C42—38no—
487C42—38no—
488C42—34no—
489C42—34no—
490C42C22×C3×D314yes—
491C22×C3—24no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—24no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—22no—
498C22×C3—22no—
499C22×C3—22no—
500C22×C3—21no—
501C22×C3—44no—
502C22×C3—44no—
503C22×C3—44no—
504C22×C3—48no—
505C22×C3—48no—
506C22×C3—88no—
507C22×C3C2×#23712yes—
508C22×C3D3×#4112yes—
509C22×C3#101012yes—
510C22×C3C2×C3×#4112yes—
511C22×C3C2×C3×#4112yes—
512C22×C3C3×2−1+412yes—
513C22×C3C24×D311yescharacteristic
514C22×C3C25×C311yescharacteristic
515C3×C4—24no—
516C3×C4—22no—
517C3×C4—22no—
518C3×C4—22no—
519C3×C4—24no—
520C3×C4—22no—
521C3×C4—24no—
522C3×C4—34no—
523C3×C4—44no—
524C3×C4—42no—
525C3×C4—42no—
526C3×C4—64no—
527C3×C4—64no—
528C3×C4—62no—
529C3×C4—62no—
530C3×C4—62no—
531C3×C4C2×#23714yes—
532C3×C4C2×C3×#4114yes—
533Dic3—24no—
534Dic3—22no—
535Dic3—24no—
536Dic3—22no—
537Dic3—22no—
538Dic3C2×C3×#4114yes—
539C32C2×#55611yescharacteristic, complemented, Sylow
540C23—24no—
541C23—24no—
542C23—24no—
543C23C23×C3×D314yes—
544C23C23×C3×D311yescharacteristic
545Q8—28no—
546Q8—68no—
547Q8—68no—
548D4—28no—
549C2×C4—24no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—34no—
553C2×C4—32no—
554C2×C4—32no—
555C2×C4—34no—
556C2×C4—32no—
557C2×C4—34no—
558C2×C4—32no—
559C2×C4—616no—
560C2×C4—64no—
561C2×C4—64no—
562C2×C4—62no—
563C2×C4—62no—
564C2×C4—62no—
565C2×C4C3×#23714yes—
566C2×C4C23×C3×D312yes—
567C2×C4C23×C3×D314yes—
568C2×C4C23×C3×D312yes—
569C2×C4C23×C3×D312yes—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—21no—
573C2×C3—24no—
574C2×C3—44no—
575C2×C3—44no—
576C2×C3—84no—
577C2×C3#567114yesdirect product factor
578C2×C3C3×#55614yescomplemented
579C2×C3C22×#23711yescharacteristic
580C2×C3C2×D3×#4111yescharacteristic
581C2×C3C2×#101011yescharacteristic
582C2×C3C22×C3×#4111yescharacteristic
583C2×C3C22×C3×#4111yescharacteristic
584C2×C3C2×C3×2−1+411yescharacteristic
585C22—24no—
586C22—24no—
587C22—24no—
588C22—48no—
589C22C2×C3×#23712yes—
590C22C3×D3×#4112yes—
591C22C3×#101012yes—
592C22C24×C3×D311yescharacteristic
593C4—24no—
594C4—22no—
595C4—22no—
596C4—34no—
597C4—64no—
598C4—64no—
599C4—62no—
600C4—62no—
601C4—62no—
602C4C2×C3×#23714yes—
603C3—21no—
604C3C2×#567111yescharacteristic, direct product factor
605C3C2×C3×#55611yescharacteristic, complemented
606C2—44no—
607C2C3×#567114yesdirect product factor
608C2C22×C3×#23711yescharacteristic
609C2C2×C3×D3×#4111yescharacteristic
610C2C2×C3×#101011yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC2×C32×#124C2
socleC23×C32C24
prime radicalC22×C32×D4C22
hypercenterC2×C3×#124D3
hypocenterC3C2×C3×#556
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×#124

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×#5671C2direct (N × H)
7. C2×C3×#879C2semidirect
8. C2×C3×#879C2semidirect
9. C2×C3×#878C2semidirect
10. C2×C3×#877C2semidirect
11. C2×C3×C4×Dic6C2semidirect
12. C2×C3×C4×Dic6C2semidirect
14. C2×#5671C3direct (N × H)
27. C3×Q8×Dic3C22semidirect
28. C3×#944C22semidirect
43. C3×#879C22semidirect
44. C3×#879C22semidirect
45. C3×#878C22semidirect
46. C3×#877C22semidirect
47. C3×C4×Dic6C22semidirect
48. C3×C4×Dic6C22semidirect
63. C2×Q8×Dic3C2×C3semidirect
64. C2×#944C2×C3semidirect
67. #5671C2×C3direct (N × H)
68. C2×#879C2×C3semidirect
69. C2×#879C2×C3semidirect
70. C2×#878C2×C3semidirect
71. C2×#877C2×C3semidirect
72. C2×C4×Dic6C2×C3semidirect
73. C2×C4×Dic6C2×C3semidirect
166. Q8×Dic3C22×C3semidirect
167. #944C22×C3semidirect
182. #879C22×C3semidirect
183. #879C22×C3semidirect
184. #878C22×C3semidirect
185. #877C22×C3semidirect
186. C4×Dic6C22×C3semidirect
187. C4×Dic6C22×C3semidirect
448. C2×C32#556semidirect
539. C32C2×#556semidirect
577. C2×C3#5671direct (N × H)
578. C2×C3C3×#556semidirect
604. C3C2×#5671direct (N × H)
605. C3C2×C3×#556semidirect
607. C2C3×#5671direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1242
C2×C3×Q8×Dic32
C2×C3×#9442
C2×C3×#9362
C2×C3×D4×Dic32
C3×#56712
C2×C3×#8792
C2×C3×#8782
C2×C3×#8772
C2×C3×C4×Dic62
C2×C3×#5563
C2×#56713