Finite Group Databasebeta

← C3×#17581 #10636188

Subgroups — C3×#17581 #10636188

Order 768.

1070 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#529C211yesmaximal, characteristic
2C2×C3×#432C211yesmaximal, characteristic, complemented
3C3×#2285C211yesmaximal, characteristic, complemented
4C3×#1520C212yesmaximal, complemented
5C3×#1519C212yesmaximal
6C3×#1512C214yesmaximal, complemented
7C3×#1509C214yesmaximal, complemented
8#17581C311yesmaximal, characteristic, direct product factor, Sylow
9C3×#529—21no—
10C3×#529—21no—
11C3×#529—21no—
12C3×#529—21no—
13C3×#529C412yescomplemented
14C3×#529C412yescomplemented
15C3×#529C2212yes—
16C3×#529C2212yes—
17C2×C3×#126—21no—
18C2×C3×#125C411yescharacteristic, complemented
19C2×C3×#124C411yescharacteristic, complemented
20C2×C3×#123—21no—
21C2×C3×C22⋊Q8C2211yescharacteristic
22C2×C3×#121C2211yescharacteristic
23C2×C3×C4×Q8C411yescharacteristic, complemented
24C2×C3×C4×D4—21no—
25C2×C3×C4×D4C411yescharacteristic, complemented
26C2×C3×#117—21no—
27C2×C3×#117—21no—
28C22×C3×C42C2211yescharacteristic
29C3×#432—21no—
30C3×#432—21no—
31C3×#432C2212yescomplemented
32C3×#432C2212yescomplemented
33C2×C3×C4⋊C8—21no—
34C2×C3×C22⋊C8C2212yes—
35C2×C3×#97—21no—
36C3×#384—21no—
37C3×#382C2212yescomplemented
38C3×#380—21no—
39C3×#380C2212yes—
40C3×C4×C4⋊C4—21no—
41C3×C4×C4⋊C4C2212yescomplemented
42C3×#328C2218yescomplemented
43C3×#327C2218yes—
44C2×#529C2×C311yescharacteristic
45C2×#432C2×C311yescharacteristic, complemented
46#2285C2×C311yescharacteristic, complemented
47#1520C2×C312yescomplemented
48#1519C2×C312yes—
49#1512C2×C314yescomplemented
50#1509C2×C314yescomplemented
51C22×C3×Q8C2×C411yescharacteristic
52C22×C3×D4—21no—
53C22×C3×D4C2×C411yescharacteristic
54C23×C3×C4—21no—
55C23×C3×C4D411yescharacteristic
56C23×C3×C4D411yescharacteristic
57C23×C3×C4C2311yescharacteristic
58C22×C3×C8—22no—
59C3×#126—22no—
60C3×#126—22no—
61C3×#126—22no—
62C3×#126—22no—
63C3×#125—21no—
64C3×#125—21no—
65C3×#125C2×C412yes—
66C3×#125C2×C412yes—
67C3×#124—21no—
68C3×#124—21no—
69C3×#124C2×C412yes—
70C3×#124C2×C412yes—
71C3×#123—22no—
72C3×#123—22no—
73C3×#123—22no—
74C3×#123—22no—
75C3×C22⋊Q8—21no—
76C3×C22⋊Q8—21no—
77C3×C22⋊Q8C2×C412yes—
78C3×C22⋊Q8C2312yes—
79C3×#121—21no—
80C3×#121—21no—
81C3×#121C2×C412yes—
82C3×#121C2312yes—
83C3×C4×Q8—21no—
84C3×C4×Q8—21no—
85C3×C4×Q8C2×C412yes—
86C3×C4×Q8C2×C412yes—
87C3×C4×D4—22no—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C3×C4×D4—22no—
91C3×C4×D4—21no—
92C3×C4×D4—21no—
93C3×C4×D4C2×C412yes—
94C3×C4×D4C2×C412yes—
95C3×#117—22no—
96C3×#117—22no—
97C3×#117—22no—
98C3×#117—22no—
99C3×#117—44no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—22no—
105C2×C3×C4⋊C4—22no—
106C2×C3×C4⋊C4—22no—
107C2×C3×C4⋊C4C2×C411yescharacteristic
108C2×C3×C4⋊C4C2×C411yescharacteristic
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—22no—
115C2×C3×C42—21no—
116C2×C3×C42—22no—
117C2×C3×C42C2×C411yescharacteristic
118C2×C3×C42C2×C411yescharacteristic
119C2×C3×C42C2×C411yescharacteristic
120C2×C3×C42C2×C411yescharacteristic
121C2×C3×C42D411yescharacteristic
122C2×C3×C42D411yescharacteristic
123C2×C3×C42D411yescharacteristic
124C2×C3×C42D411yescharacteristic
125C2×C3×C42D411yescharacteristic
126C2×C3×C42D411yescharacteristic
127C2×C3×C42C2311yescharacteristic
128C2×C3×C42C2311yescharacteristic
129C3×C4⋊C8—22no—
130C3×C4⋊C8—22no—
131C3×C22⋊C8—22no—
132C3×C22⋊C8C2314yes—
133C3×#97—22no—
134C3×#97—22no—
135C3×#95—22no—
136C3×#95C2314yes—
137#529—21no—
138#529—21no—
139#529—21no—
140#529—21no—
141#529C3×C412yescomplemented
142#529C3×C412yescomplemented
143#529C22×C312yes—
144#529C22×C312yes—
145C2×#126—21no—
146C2×#125C3×C411yescharacteristic, complemented
147C2×#124C3×C411yescharacteristic, complemented
148C2×#123—21no—
149C2×C22⋊Q8C22×C311yescharacteristic
150C2×#121C22×C311yescharacteristic
151C2×C4×Q8C3×C411yescharacteristic, complemented
152C2×C4×D4—21no—
153C2×C4×D4C3×C411yescharacteristic, complemented
154C2×#117—21no—
155C2×#117—21no—
156C22×C42C22×C311yescharacteristic
157#432—21no—
158#432—21no—
159#432C22×C312yescomplemented
160#432C22×C312yescomplemented
161C2×C4⋊C8—21no—
162C2×C22⋊C8C22×C312yes—
163C2×#97—21no—
164#384—21no—
165#382C22×C312yescomplemented
166#380—21no—
167#380C22×C312yes—
168C4×C4⋊C4—21no—
169C4×C4⋊C4C22×C312yescomplemented
170#328C22×C318yescomplemented
171#327C22×C318yes—
172C24×C3—21no—
173C24×C3C2×D411yescharacteristic
174C2×C3×Q8—21no—
175C2×C3×Q8—42no—
176C2×C3×Q8C22×C412yes—
177C2×C3×D4—22no—
178C2×C3×D4—22no—
179C2×C3×D4—21no—
180C2×C3×D4—42no—
181C2×C3×D4—42no—
182C2×C3×D4—42no—
183C2×C3×D4C22×C412yes—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—21no—
187C22×C3×C4—21no—
188C22×C3×C4—21no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—24no—
192C22×C3×C4—42no—
193C22×C3×C4—42no—
194C22×C3×C4—44no—
195C22×C3×C4C22⋊C411yescharacteristic
196C22×C3×C4C22⋊C411yescharacteristic
197C22×C3×C4C22⋊C411yescharacteristic
198C22×C3×C4C22⋊C411yescharacteristic
199C22×C3×C4C22⋊C411yescharacteristic
200C22×C3×C4C22⋊C411yescharacteristic
201C22×C3×C4C22⋊C411yescharacteristic
202C22×C3×C4C22⋊C411yescharacteristic
203C22×C3×C4C22×C411yescharacteristic
204C22×C3×C4C22×C411yescharacteristic
205C22×C3×C4C2×D411yescharacteristic
206C22×C3×C4C2×D411yescharacteristic
207C22×C3×C4C2×D411yescharacteristic
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2411yescharacteristic
213C2×C3×C8—24no—
214C2×C3×C8—44no—
215C3×C4⋊C4—22no—
216C3×C4⋊C4—22no—
217C3×C4⋊C4—22no—
218C3×C4⋊C4—22no—
219C3×C4⋊C4—22no—
220C3×C4⋊C4—22no—
221C3×C4⋊C4—22no—
222C3×C4⋊C4—21no—
223C3×C4⋊C4—21no—
224C3×C4⋊C4—22no—
225C3×C4⋊C4—44no—
226C3×C4⋊C4—44no—
227C3×C4⋊C4—44no—
228C3×C4⋊C4C22×C412yes—
229C3×C4⋊C4C22×C412yes—
230C3×C22⋊C4—22no—
231C3×C22⋊C4—22no—
232C3×C22⋊C4—22no—
233C3×C22⋊C4—22no—
234C3×C22⋊C4—22no—
235C3×C22⋊C4—22no—
236C3×C22⋊C4—22no—
237C3×C22⋊C4—22no—
238C3×C22⋊C4—22no—
239C3×C22⋊C4—22no—
240C3×C22⋊C4—44no—
241C3×C42—22no—
242C3×C42—22no—
243C3×C42—44no—
244C3×C42C22⋊C411yescharacteristic
245C3×C42C22⋊C411yescharacteristic
246C3×C42C22⋊C411yescharacteristic
247C3×C42C22⋊C411yescharacteristic
248C3×C42C22⋊C411yescharacteristic
249C3×C42C22⋊C411yescharacteristic
250C3×C42C22⋊C411yescharacteristic
251C3×C42C22⋊C411yescharacteristic
252C3×C42C22×C411yescharacteristic
253C3×C42C22×C411yescharacteristic
254C3×C42C22×C411yescharacteristic
255C3×C42C22×C411yescharacteristic
256C3×C42C2×D411yescharacteristic
257C3×C42C2×D411yescharacteristic
258C3×C42C2×D411yescharacteristic
259C3×C42C2×D411yescharacteristic
260C22×Q8C2×C3×C411yescharacteristic
261C22×D4—21no—
262C22×D4C2×C3×C411yescharacteristic
263C23×C4—21no—
264C23×C4C3×D411yescharacteristic
265C23×C4C3×D411yescharacteristic
266C23×C4C23×C311yescharacteristic
267C22×C8—22no—
268#126—22no—
269#126—22no—
270#126—22no—
271#126—22no—
272#125—21no—
273#125—21no—
274#125C2×C3×C412yes—
275#125C2×C3×C412yes—
276#124—21no—
277#124—21no—
278#124C2×C3×C412yes—
279#124C2×C3×C412yes—
280#123—22no—
281#123—22no—
282#123—22no—
283#123—22no—
284C22⋊Q8—21no—
285C22⋊Q8—21no—
286C22⋊Q8C2×C3×C412yes—
287C22⋊Q8C23×C312yes—
288#121—21no—
289#121—21no—
290#121C2×C3×C412yes—
291#121C23×C312yes—
292C4×Q8—21no—
293C4×Q8—21no—
294C4×Q8C2×C3×C412yes—
295C4×Q8C2×C3×C412yes—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—22no—
299C4×D4—22no—
300C4×D4—21no—
301C4×D4—21no—
302C4×D4C2×C3×C412yes—
303C4×D4C2×C3×C412yes—
304#117—22no—
305#117—22no—
306#117—22no—
307#117—22no—
308#117—44no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4C2×C3×C411yescharacteristic
317C2×C4⋊C4C2×C3×C411yescharacteristic
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—22no—
324C2×C42—21no—
325C2×C42—22no—
326C2×C42C2×C3×C411yescharacteristic
327C2×C42C2×C3×C411yescharacteristic
328C2×C42C2×C3×C411yescharacteristic
329C2×C42C2×C3×C411yescharacteristic
330C2×C42C3×D411yescharacteristic
331C2×C42C3×D411yescharacteristic
332C2×C42C3×D411yescharacteristic
333C2×C42C3×D411yescharacteristic
334C2×C42C3×D411yescharacteristic
335C2×C42C3×D411yescharacteristic
336C2×C42C23×C311yescharacteristic
337C2×C42C23×C311yescharacteristic
338C4⋊C8—22no—
339C4⋊C8—22no—
340C22⋊C8—22no—
341C22⋊C8C23×C314yes—
342#97—22no—
343#97—22no—
344#95—22no—
345#95C23×C314yes—
346C23×C3—22no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3C2×C22⋊C411yescharacteristic
353C23×C3C2×C22⋊C411yescharacteristic
354C23×C3AGL(1,ℤ/8)12yes—
355C23×C3#13712yes—
356C23×C3C22×D411yescharacteristic
357C3×Q8—42no—
358C3×Q8—42no—
359C3×D4—42no—
360C3×D4—42no—
361C3×D4—42no—
362C3×D4—44no—
363C3×D4—42no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—44no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—44no—
392C2×C3×C4—44no—
393C2×C3×C4—44no—
394C2×C3×C4—44no—
395C2×C3×C4C2×C22⋊C411yescharacteristic
396C2×C3×C4C2×C22⋊C411yescharacteristic
397C2×C3×C4C2×C22⋊C411yescharacteristic
398C2×C3×C4C2×C22⋊C411yescharacteristic
399C2×C3×C4C2×C22⋊C411yescharacteristic
400C2×C3×C4C2×C22⋊C411yescharacteristic
401C2×C3×C4C2×C22⋊C411yescharacteristic
402C2×C3×C4C2×C22⋊C411yescharacteristic
403C2×C3×C4C2×C22⋊C411yescharacteristic
404C2×C3×C4C2×C22⋊C411yescharacteristic
405C2×C3×C4C23×C411yescharacteristic
406C2×C3×C4C22×D411yescharacteristic
407C3×C8—44no—
408C24—21no—
409C24C2×C3×D411yescharacteristic
410C2×Q8—21no—
411C2×Q8—42no—
412C2×Q8C22×C3×C412yes—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—21no—
416C2×D4—42no—
417C2×D4—42no—
418C2×D4—42no—
419C2×D4C22×C3×C412yes—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—24no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—44no—
431C22×C4C3×C22⋊C411yescharacteristic
432C22×C4C3×C22⋊C411yescharacteristic
433C22×C4C3×C22⋊C411yescharacteristic
434C22×C4C3×C22⋊C411yescharacteristic
435C22×C4C3×C22⋊C411yescharacteristic
436C22×C4C3×C22⋊C411yescharacteristic
437C22×C4C3×C22⋊C411yescharacteristic
438C22×C4C3×C22⋊C411yescharacteristic
439C22×C4C22×C3×C411yescharacteristic
440C22×C4C22×C3×C411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C2×C3×D411yescharacteristic
444C22×C4C2×C3×D411yescharacteristic
445C22×C4C2×C3×D411yescharacteristic
446C22×C4C2×C3×D411yescharacteristic
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C24×C311yescharacteristic
449C2×C8—24no—
450C2×C8—44no—
451C4⋊C4—22no—
452C4⋊C4—22no—
453C4⋊C4—22no—
454C4⋊C4—22no—
455C4⋊C4—22no—
456C4⋊C4—22no—
457C4⋊C4—22no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—22no—
461C4⋊C4—44no—
462C4⋊C4—44no—
463C4⋊C4—44no—
464C4⋊C4C22×C3×C412yes—
465C4⋊C4C22×C3×C412yes—
466C22⋊C4—22no—
467C22⋊C4—22no—
468C22⋊C4—22no—
469C22⋊C4—22no—
470C22⋊C4—22no—
471C22⋊C4—22no—
472C22⋊C4—22no—
473C22⋊C4—22no—
474C22⋊C4—22no—
475C22⋊C4—22no—
476C22⋊C4—44no—
477C42—22no—
478C42—22no—
479C42—44no—
480C42C3×C22⋊C411yescharacteristic
481C42C3×C22⋊C411yescharacteristic
482C42C3×C22⋊C411yescharacteristic
483C42C3×C22⋊C411yescharacteristic
484C42C3×C22⋊C411yescharacteristic
485C42C3×C22⋊C411yescharacteristic
486C42C3×C22⋊C411yescharacteristic
487C42C3×C22⋊C411yescharacteristic
488C42C22×C3×C411yescharacteristic
489C42C22×C3×C411yescharacteristic
490C42C22×C3×C411yescharacteristic
491C42C22×C3×C411yescharacteristic
492C42C2×C3×D411yescharacteristic
493C42C2×C3×D411yescharacteristic
494C42C2×C3×D411yescharacteristic
495C42C2×C3×D411yescharacteristic
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—84no—
508C22×C3#41712yes—
509C22×C3#41712yes—
510C22×C3C22×C22⋊C411yescharacteristic
511C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
512C22×C3C2×#13711yescharacteristic
513C3×C4—21no—
514C3×C4—21no—
515C3×C4—21no—
516C3×C4—21no—
517C3×C4—21no—
518C3×C4—21no—
519C3×C4—21no—
520C3×C4—21no—
521C3×C4—21no—
522C3×C4—21no—
523C3×C4—42no—
524C3×C4—42no—
525C3×C4—42no—
526C3×C4—84no—
527C3×C4#41012yes—
528C3×C4#42112yes—
529C23—22no—
530C23—41no—
531C23—41no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23C2×C3×C22⋊C411yescharacteristic
536C23C2×C3×C22⋊C411yescharacteristic
537C23C3×AGL(1,ℤ/8)12yes—
538C23C3×#13712yes—
539C23C22×C3×D411yescharacteristic
540Q8—42no—
541Q8—42no—
542D4—42no—
543D4—42no—
544D4—42no—
545D4—44no—
546D4—42no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—44no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—44no—
575C2×C4—44no—
576C2×C4—44no—
577C2×C4—44no—
578C2×C4C2×C3×C22⋊C411yescharacteristic
579C2×C4C2×C3×C22⋊C411yescharacteristic
580C2×C4C2×C3×C22⋊C411yescharacteristic
581C2×C4C2×C3×C22⋊C411yescharacteristic
582C2×C4C2×C3×C22⋊C411yescharacteristic
583C2×C4C2×C3×C22⋊C411yescharacteristic
584C2×C4C2×C3×C22⋊C411yescharacteristic
585C2×C4C2×C3×C22⋊C411yescharacteristic
586C2×C4C2×C3×C22⋊C411yescharacteristic
587C2×C4C2×C3×C22⋊C411yescharacteristic
588C2×C4C23×C3×C411yescharacteristic
589C2×C4C22×C3×D411yescharacteristic
590C8—44no—
591C2×C3—21no—
592C2×C3—22no—
593C2×C3—21no—
594C2×C3—22no—
595C2×C3—82no—
596C2×C3C2×#41011yescharacteristic
597C2×C3C2×#41711yescharacteristic
598C2×C3C2×#42111yescharacteristic
599C22—21no—
600C22—21no—
601C22—21no—
602C22—21no—
603C22—21no—
604C22—21no—
605C22—42no—
606C22—42no—
607C22—42no—
608C22—42no—
609C22—42no—
610C22—84no—
611C22C3×#41712yes—
612C22C3×#41712yes—
613C22C22×C3×C22⋊C411yescharacteristic
614C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
615C22C2×C3×#13711yescharacteristic
616C4—21no—
617C4—21no—
618C4—21no—
619C4—21no—
620C4—21no—
621C4—21no—
622C4—21no—
623C4—21no—
624C4—21no—
625C4—21no—
626C4—42no—
627C4—42no—
628C4—42no—
629C4—84no—
630C4C3×#41012yes—
631C4C3×#42112yes—
632C3#1758111yescharacteristic, direct product factor, Sylow
633C2—21no—
634C2—22no—
635C2—21no—
636C2—22no—
637C2—82no—
638C2C2×C3×#41011yescharacteristic
639C2C2×C3×#41711yescharacteristic
640C2C2×C3×#42111yescharacteristic
subgroupG/H
center, socleC22×C3C22×C22⋊C4
commutatorC2×C4C23×C3×C4
Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C2×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C3 ◁ C22×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#432C2semidirect
3. C3×#2285C2semidirect
4. C3×#1520C2semidirect
6. C3×#1512C2semidirect
7. C3×#1509C2semidirect
8. #17581C3direct (N × H)
13. C3×#529C4semidirect
14. C3×#529C4semidirect
18. C2×C3×#125C4semidirect
19. C2×C3×#124C4semidirect
23. C2×C3×C4×Q8C4semidirect
25. C2×C3×C4×D4C4semidirect
31. C3×#432C22semidirect
32. C3×#432C22semidirect
37. C3×#382C22semidirect
41. C3×C4×C4⋊C4C22semidirect
42. C3×#328C22semidirect
45. C2×#432C2×C3semidirect
46. #2285C2×C3semidirect
47. #1520C2×C3semidirect
49. #1512C2×C3semidirect
50. #1509C2×C3semidirect
141. #529C3×C4semidirect
142. #529C3×C4semidirect
146. C2×#125C3×C4semidirect
147. C2×#124C3×C4semidirect
151. C2×C4×Q8C3×C4semidirect
153. C2×C4×D4C3×C4semidirect
159. #432C22×C3semidirect
160. #432C22×C3semidirect
165. #382C22×C3semidirect
169. C4×C4⋊C4C22×C3semidirect
170. #328C22×C3semidirect
632. C3#17581direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5292
C2×C3×#4322
C3×#22852
C3×#15202
C3×#15192
C3×#15122
C3×#15092
#175813