Finite Group Databasebeta

← C3×#60511 #10679118

Subgroups — C3×#60511 #10679118

Order 768.

2346 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#525C211yesmaximal, characteristic
2C22×C3×#117C211yesmaximal, characteristic, complemented
3C3×#3095C214yesmaximal, complemented
4C3×#3094C214yesmaximal, complemented
5C3×#3093C214yesmaximal, complemented
6C3×#3092C214yesmaximal, complemented
7C3×#3091C218yesmaximal, complemented
8C3×#2911C212yesmaximal, complemented
9C3×#2896C212yesmaximal, complemented
10C2×C3×#407C211yesmaximal, characteristic, complemented
11#60511C311yesmaximal, characteristic, direct product factor, Sylow
12C22×C3×#41C2211yescharacteristic
13C24×C3×C4C2211yescharacteristic
14C22×C3×M16C2212yes—
15C3×#525—21no—
16C3×#525—22no—
17C3×#525—21no—
18C3×#525C2214yes—
19C3×#525C2212yes—
20C3×#525C2212yes—
21C2×C3×#123—21no—
22C2×C3×C22⋊Q8C2212yes—
23C2×C3×#121C2212yes—
24C2×C3×#120—21no—
25C2×C3×C4×D4—22no—
26C2×C3×#117—22no—
27C2×C3×#117—21no—
28C2×C3×#117—22no—
29C2×C3×#117—21no—
30C2×C3×#117C2212yes—
31C2×C3×#117C2214yes—
32C2×C3×#117C2211yescharacteristic
33C2×C3×#117C2214yescomplemented
34C2×C3×#117C2212yescomplemented
35C22×C3×C4⋊C4C2212yescomplemented
36C22×C3×C22⋊C4—21no—
37C22×C3×C42—21no—
38C3×#485C22116yescomplemented
39C3×#484C2218yescomplemented
40C3×#483C2218yescomplemented
41C3×#482C22116yescomplemented
42C3×#481C2218yescomplemented
43C3×#480C2218yescomplemented
44C3×#428C2218yescomplemented
45C3×#428C2218yescomplemented
46C3×#427C2218yescomplemented
47C3×#419C2214yescomplemented
48C3×#418C2214yescomplemented
49C3×#417C2218yescomplemented
50C3×#416C2218yescomplemented
51C3×#407C2214yes—
52C3×#407C2212yescomplemented
53C3×#407C2212yescomplemented
54C2×C3×C22⋊C8C2214yescomplemented
55C2×#525C2×C311yescharacteristic
56C22×#117C2×C311yescharacteristic, complemented
57#3095C2×C314yescomplemented
58#3094C2×C314yescomplemented
59#3093C2×C314yescomplemented
60#3092C2×C314yescomplemented
61#3091C2×C318yescomplemented
62#2911C2×C312yescomplemented
63#2896C2×C312yescomplemented
64C2×#407C2×C311yescharacteristic, complemented
65C25×C3D411yescharacteristic
66C2×C3×#41—21no—
67C2×C3×#41—21no—
68C2×C3×#41—28no—
69C2×C3×#41C2312yes—
70C2×C3×#41C2312yes—
71C22×C3×Q8C2311yescharacteristic
72C22×C3×D4—21no—
73C22×C3×D4—22no—
74C22×C3×D4C2311yescharacteristic
75C23×C3×C4—28no—
76C23×C3×C4—22no—
77C23×C3×C4—21no—
78C23×C3×C4D411yescharacteristic
79C23×C3×C4D412yes—
80C23×C3×C4D411yescharacteristic
81C23×C3×C4D412yes—
82C23×C3×C4D411yescharacteristic
83C23×C3×C4C2312yes—
84C23×C3×C4C2312yes—
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C2×C3×M16—28no—
89C2×C3×M16C2314yes—
90C2×C3×M16C2314yes—
91C22×C3×C8C2314yes—
92C3×#123—22no—
93C3×#123—22no—
94C3×#123—24no—
95C3×C22⋊Q8—22no—
96C3×C22⋊Q8—22no—
97C3×C22⋊Q8C2314yes—
98C3×C22⋊Q8C2314yes—
99C3×#121—22no—
100C3×#121—22no—
101C3×#121C2314yes—
102C3×#121C2314yes—
103C3×#120—22no—
104C3×#120—24no—
105C3×#120—22no—
106C3×C4×D4—24no—
107C3×C4×D4—24no—
108C3×C4×D4—24no—
109C3×C4×D4—24no—
110C3×#117—24no—
111C3×#117—24no—
112C3×#117—22no—
113C3×#117—22no—
114C3×#117—24no—
115C3×#117—24no—
116C3×#117—24no—
117C3×#117—21no—
118C3×#117—21no—
119C3×#117C2314yes—
120C3×#117C2314yes—
121C3×#117C2312yes—
122C3×#117C2312yes—
123C3×#117C2318yes—
124C2×C3×C4⋊C4—22no—
125C2×C3×C4⋊C4—22no—
126C2×C3×C4⋊C4—22no—
127C2×C3×C4⋊C4—22no—
128C2×C3×C4⋊C4C2314yes—
129C2×C3×C4⋊C4C2312yes—
130C2×C3×C4⋊C4C2314yes—
131C2×C3×C4⋊C4C2314yes—
132C2×C3×C22⋊C4—24no—
133C2×C3×C22⋊C4—22no—
134C2×C3×C22⋊C4—24no—
135C2×C3×C22⋊C4—22no—
136C2×C3×C22⋊C4—21no—
137C2×C3×C22⋊C4—22no—
138C2×C3×C22⋊C4—22no—
139C2×C3×C42—24no—
140C2×C3×C42—22no—
141C2×C3×C42—22no—
142C2×C3×C42—24no—
143C2×C3×C42—21no—
144C3×#107C23116yescomplemented
145C3×#106C23116yescomplemented
146C3×#103C23116yescomplemented
147C3×#102C23116yescomplemented
148C3×C22⋊C8C2318yes—
149C3×C22⋊C8C2318yes—
150C22×#41C22×C311yescharacteristic
151C24×C4C22×C311yescharacteristic
152C22×M16C22×C312yes—
153#525—21no—
154#525—22no—
155#525—21no—
156#525C22×C314yes—
157#525C22×C312yes—
158#525C22×C312yes—
159C2×#123—21no—
160C2×C22⋊Q8C22×C312yes—
161C2×#121C22×C312yes—
162C2×#120—21no—
163C2×C4×D4—22no—
164C2×#117—22no—
165C2×#117—21no—
166C2×#117—22no—
167C2×#117—21no—
168C2×#117C22×C314yes—
169C2×#117C22×C312yes—
170C2×#117C22×C311yescharacteristic
171C2×#117C22×C314yescomplemented
172C2×#117C22×C312yescomplemented
173C22×C4⋊C4C22×C312yescomplemented
174C22×C22⋊C4—21no—
175C22×C42—21no—
176#485C22×C3116yescomplemented
177#484C22×C318yescomplemented
178#483C22×C318yescomplemented
179#482C22×C3116yescomplemented
180#481C22×C318yescomplemented
181#480C22×C318yescomplemented
182#428C22×C318yescomplemented
183#428C22×C318yescomplemented
184#427C22×C318yescomplemented
185#419C22×C314yescomplemented
186#418C22×C314yescomplemented
187#417C22×C318yescomplemented
188#416C22×C318yescomplemented
189#407C22×C314yes—
190#407C22×C312yescomplemented
191#407C22×C312yescomplemented
192C2×C22⋊C8C22×C314yescomplemented
193C24×C3—24no—
194C24×C3—21no—
195C24×C3—44no—
196C24×C3C2×D411yescharacteristic
197C24×C3C2×D412yes—
198C24×C3C2×D412yes—
199C24×C3C2×D411yescharacteristic
200C24×C3C2×D411yescharacteristic
201C3×#41—28no—
202C3×#41—28no—
203C3×#41—44no—
204C3×#41—44no—
205C2×C3×Q8—21no—
206C2×C3×Q8—24no—
207C2×C3×Q8C2412yes—
208C2×C3×D4—24no—
209C2×C3×D4—24no—
210C2×C3×D4—22no—
211C2×C3×D4—22no—
212C2×C3×D4—21no—
213C2×C3×D4—24no—
214C2×C3×D4—48no—
215C2×C3×D4—44no—
216C2×C3×D4C2412yes—
217C22×C3×C4—24no—
218C22×C3×C4—28no—
219C22×C3×C4—24no—
220C22×C3×C4—24no—
221C22×C3×C4—28no—
222C22×C3×C4—28no—
223C22×C3×C4—28no—
224C22×C3×C4—24no—
225C22×C3×C4—24no—
226C22×C3×C4—24no—
227C22×C3×C4—24no—
228C22×C3×C4—24no—
229C22×C3×C4—22no—
230C22×C3×C4—21no—
231C22×C3×C4—22no—
232C22×C3×C4—22no—
233C22×C3×C4—48no—
234C22×C3×C4—44no—
235C22×C3×C4C2×D412yes—
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2×D412yes—
238C22×C3×C4C2×D412yes—
239C22×C3×C4C2×D411yescharacteristic
240C22×C3×C4C2×D412yes—
241C22×C3×C4C2×D412yes—
242C22×C3×C4C2×D412yes—
243C22×C3×C4C2×D412yes—
244C22×C3×C4C2×D412yes—
245C22×C3×C4C2×D411yescharacteristic
246C22×C3×C4C2×D411yescharacteristic
247C22×C3×C4C2×D411yescharacteristic
248C22×C3×C4#4118yes—
249C22×C3×C4C2412yes—
250C22×C3×C4C2412yes—
251C22×C3×C4C2411yescharacteristic
252C22×C3×C4C2411yescharacteristic
253C22×C3×C4C2411yescharacteristic
254C3×M16—28no—
255C3×M16—28no—
256C2×C3×C8—28no—
257C2×C3×C8C2418yes—
258C3×C4⋊C4—24no—
259C3×C4⋊C4—24no—
260C3×C4⋊C4—24no—
261C3×C4⋊C4—24no—
262C3×C4⋊C4—24no—
263C3×C4⋊C4—22no—
264C3×C4⋊C4C2418yes—
265C3×C4⋊C4C2414yes—
266C3×C22⋊C4—28no—
267C3×C22⋊C4—24no—
268C3×C22⋊C4—24no—
269C3×C22⋊C4—22no—
270C3×C22⋊C4—22no—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—24no—
275C3×C42—28no—
276C3×C42—24no—
277C3×C42—22no—
278C3×C42—24no—
279C3×C42—22no—
280C25C3×D411yescharacteristic
281C2×#41—21no—
282C2×#41—21no—
283C2×#41—28no—
284C2×#41C23×C312yes—
285C2×#41C23×C312yes—
286C22×Q8C23×C311yescharacteristic
287C22×D4—22no—
288C22×D4—21no—
289C22×D4C23×C311yescharacteristic
290C23×C4—28no—
291C23×C4—22no—
292C23×C4—21no—
293C23×C4C3×D412yes—
294C23×C4C3×D411yescharacteristic
295C23×C4C3×D412yes—
296C23×C4C3×D411yescharacteristic
297C23×C4C3×D411yescharacteristic
298C23×C4C23×C311yescharacteristic
299C23×C4C23×C312yes—
300C23×C4C23×C312yes—
301C23×C4C23×C311yescharacteristic
302C23×C4C23×C311yescharacteristic
303C2×M16—28no—
304C2×M16C23×C314yes—
305C2×M16C23×C314yes—
306C22×C8C23×C314yes—
307#123—22no—
308#123—22no—
309#123—24no—
310C22⋊Q8—22no—
311C22⋊Q8—22no—
312C22⋊Q8C23×C314yes—
313C22⋊Q8C23×C314yes—
314#121—22no—
315#121—22no—
316#121C23×C314yes—
317#121C23×C314yes—
318#120—22no—
319#120—24no—
320#120—22no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—24no—
325#117—24no—
326#117—24no—
327#117—22no—
328#117—22no—
329#117—24no—
330#117—24no—
331#117—24no—
332#117—21no—
333#117—21no—
334#117C23×C314yes—
335#117C23×C314yes—
336#117C23×C318yes—
337#117C23×C312yes—
338#117C23×C312yes—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4C23×C314yes—
344C2×C4⋊C4C23×C314yes—
345C2×C4⋊C4C23×C314yes—
346C2×C4⋊C4C23×C312yes—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C42—24no—
355C2×C42—22no—
356C2×C42—24no—
357C2×C42—22no—
358C2×C42—21no—
359#107C23×C3116yescomplemented
360#106C23×C3116yescomplemented
361#103C23×C3116yescomplemented
362#102C23×C3116yescomplemented
363C22⋊C8C23×C318yes—
364C22⋊C8C23×C318yes—
365C23×C3—22no—
366C23×C3—24no—
367C23×C3—24no—
368C23×C3—24no—
369C23×C3—22no—
370C23×C3—24no—
371C23×C3—24no—
372C23×C3—22no—
373C23×C3—42no—
374C23×C3—42no—
375C23×C3—42no—
376C23×C3—42no—
377C23×C3—416no—
378C23×C3—44no—
379C23×C3—42no—
380C23×C3#12314yes—
381C23×C3C22×D412yes—
382C23×C3C22×D411yescharacteristic
383C23×C3C22×D411yescharacteristic
384C23×C3C22×D411yescharacteristic
385C23×C3C22×D412yes—
386C3×Q8—24no—
387C3×Q8—42no—
388C3×D4—24no—
389C3×D4—48no—
390C3×D4—44no—
391C3×D4—44no—
392C3×D4—48no—
393C3×D4—42no—
394C2×C3×C4—24no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—24no—
398C2×C3×C4—24no—
399C2×C3×C4—24no—
400C2×C3×C4—24no—
401C2×C3×C4—24no—
402C2×C3×C4—24no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—28no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—48no—
410C2×C3×C4—48no—
411C2×C3×C4—44no—
412C2×C3×C4—42no—
413C2×C3×C4—48no—
414C2×C3×C4—44no—
415C2×C3×C4—44no—
416C2×C3×C4#12314yes—
417C2×C3×C4#12314yes—
418C2×C3×C4#12314yes—
419C2×C3×C4C22×D412yes—
420C2×C3×C4C22×D412yes—
421C2×C3×C4C22×D411yescharacteristic
422C2×C3×C4C22×D411yescharacteristic
423C2×C3×C4C22×D411yescharacteristic
424C2×C3×C4C2×#4114yes—
425C2×C3×C4C2×#4114yes—
426C2×C3×C4C2×#4114yes—
427C2×C3×C4C2511yescharacteristic
428C3×C8—28no—
429C24—24no—
430C24—21no—
431C24—44no—
432C24C2×C3×D411yescharacteristic
433C24C2×C3×D412yes—
434C24C2×C3×D412yes—
435C24C2×C3×D411yescharacteristic
436C24C2×C3×D411yescharacteristic
437#41—28no—
438#41—28no—
439#41—44no—
440#41—44no—
441C2×Q8—21no—
442C2×Q8—24no—
443C2×Q8C24×C312yes—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—21no—
449C2×D4—24no—
450C2×D4—48no—
451C2×D4—44no—
452C2×D4C24×C312yes—
453C22×C4—24no—
454C22×C4—28no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—48no—
470C22×C4—44no—
471C22×C4C2×C3×D412yes—
472C22×C4C2×C3×D412yes—
473C22×C4C2×C3×D411yescharacteristic
474C22×C4C2×C3×D412yes—
475C22×C4C2×C3×D412yes—
476C22×C4C2×C3×D411yescharacteristic
477C22×C4C2×C3×D412yes—
478C22×C4C2×C3×D412yes—
479C22×C4C2×C3×D412yes—
480C22×C4C2×C3×D412yes—
481C22×C4C2×C3×D411yescharacteristic
482C22×C4C2×C3×D411yescharacteristic
483C22×C4C2×C3×D411yescharacteristic
484C22×C4C3×#4118yes—
485C22×C4C24×C312yes—
486C22×C4C24×C312yes—
487C22×C4C24×C311yescharacteristic
488C22×C4C24×C311yescharacteristic
489C22×C4C24×C311yescharacteristic
490M16—28no—
491M16—28no—
492C2×C8—28no—
493C2×C8C24×C318yes—
494C4⋊C4—24no—
495C4⋊C4—24no—
496C4⋊C4—24no—
497C4⋊C4—24no—
498C4⋊C4—24no—
499C4⋊C4—22no—
500C4⋊C4C24×C318yes—
501C4⋊C4C24×C314yes—
502C22⋊C4—28no—
503C22⋊C4—24no—
504C22⋊C4—24no—
505C22⋊C4—22no—
506C22⋊C4—22no—
507C22⋊C4—24no—
508C22⋊C4—24no—
509C22⋊C4—24no—
510C22⋊C4—24no—
511C42—28no—
512C42—24no—
513C42—24no—
514C42—22no—
515C42—22no—
516C22×C3—28no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—44no—
526C22×C3—48no—
527C22×C3—48no—
528C22×C3—44no—
529C22×C3—42no—
530C22×C3—44no—
531C22×C3—84no—
532C22×C3C2×#12312yes—
533C22×C3C2×#12312yes—
534C22×C3C2×#12312yes—
535C22×C3#57514yes—
536C22×C3C23×D411yescharacteristic
537C3×C4—22no—
538C3×C4—22no—
539C3×C4—42no—
540C3×C4—48no—
541C3×C4—44no—
542C3×C4C2×#12312yes—
543C3×C4C2×#12312yes—
544C3×C4C2×#12312yes—
545C3×C4C22×#4112yes—
546C23—24no—
547C23—22no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—22no—
553C23—22no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—416no—
559C23—44no—
560C23—42no—
561C23C3×#12314yes—
562C23C22×C3×D412yes—
563C23C22×C3×D412yes—
564C23C22×C3×D411yescharacteristic
565C23C22×C3×D411yescharacteristic
566C23C22×C3×D411yescharacteristic
567Q8—24no—
568Q8—42no—
569D4—24no—
570D4—48no—
571D4—48no—
572D4—44no—
573D4—44no—
574D4—42no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—28no—
588C2×C4—24no—
589C2×C4—22no—
590C2×C4—48no—
591C2×C4—48no—
592C2×C4—44no—
593C2×C4—48no—
594C2×C4—42no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4C3×#12314yes—
598C2×C4C3×#12314yes—
599C2×C4C3×#12314yes—
600C2×C4C22×C3×D412yes—
601C2×C4C22×C3×D412yes—
602C2×C4C22×C3×D411yescharacteristic
603C2×C4C22×C3×D411yescharacteristic
604C2×C4C22×C3×D411yescharacteristic
605C2×C4C2×C3×#4114yes—
606C2×C4C2×C3×#4114yes—
607C2×C4C2×C3×#4114yes—
608C2×C4C25×C311yescharacteristic
609C8—28no—
610C2×C3—22no—
611C2×C3—24no—
612C2×C3—22no—
613C2×C3—22no—
614C2×C3—42no—
615C2×C3—82no—
616C2×C3C22×#12311yescharacteristic
617C2×C3C2×#57512yes—
618C22—28no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—44no—
628C22—48no—
629C22—48no—
630C22—44no—
631C22—42no—
632C22—44no—
633C22—84no—
634C22C2×C3×#12312yes—
635C22C2×C3×#12312yes—
636C22C2×C3×#12312yes—
637C22C3×#57514yes—
638C22C23×C3×D411yescharacteristic
639C4—22no—
640C4—22no—
641C4—42no—
642C4—48no—
643C4—44no—
644C4C2×C3×#12312yes—
645C4C2×C3×#12312yes—
646C4C2×C3×#12312yes—
647C4C22×C3×#4112yes—
648C3#6051111yescharacteristic, direct product factor, Sylow
649C2—24no—
650C2—22no—
651C2—22no—
652C2—22no—
653C2—42no—
654C2—82no—
655C2C22×C3×#12311yescharacteristic
656C2C2×C3×#57512yes—
subgroupG/H
centerC2×C3×C4C22×D4
commutator, Frattini, cosocleC2×C4C25×C3
socleC22×C3C23×D4
prime radicalC2×C3×#525C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C3×C4 ◁ C24×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C3×#117C2semidirect
3. C3×#3095C2semidirect
4. C3×#3094C2semidirect
5. C3×#3093C2semidirect
6. C3×#3092C2semidirect
7. C3×#3091C2semidirect
8. C3×#2911C2semidirect
9. C3×#2896C2semidirect
10. C2×C3×#407C2semidirect
11. #60511C3direct (N × H)
33. C2×C3×#117C22semidirect
34. C2×C3×#117C22semidirect
35. C22×C3×C4⋊C4C22semidirect
38. C3×#485C22semidirect
39. C3×#484C22semidirect
40. C3×#483C22semidirect
41. C3×#482C22semidirect
42. C3×#481C22semidirect
43. C3×#480C22semidirect
44. C3×#428C22semidirect
45. C3×#428C22semidirect
46. C3×#427C22semidirect
47. C3×#419C22semidirect
48. C3×#418C22semidirect
49. C3×#417C22semidirect
50. C3×#416C22semidirect
52. C3×#407C22semidirect
53. C3×#407C22semidirect
54. C2×C3×C22⋊C8C22semidirect
56. C22×#117C2×C3semidirect
57. #3095C2×C3semidirect
58. #3094C2×C3semidirect
59. #3093C2×C3semidirect
60. #3092C2×C3semidirect
61. #3091C2×C3semidirect
62. #2911C2×C3semidirect
63. #2896C2×C3semidirect
64. C2×#407C2×C3semidirect
144. C3×#107C23semidirect
145. C3×#106C23semidirect
146. C3×#103C23semidirect
147. C3×#102C23semidirect
171. C2×#117C22×C3semidirect
172. C2×#117C22×C3semidirect
173. C22×C4⋊C4C22×C3semidirect
176. #485C22×C3semidirect
177. #484C22×C3semidirect
178. #483C22×C3semidirect
179. #482C22×C3semidirect
180. #481C22×C3semidirect
181. #480C22×C3semidirect
182. #428C22×C3semidirect
183. #428C22×C3semidirect
184. #427C22×C3semidirect
185. #419C22×C3semidirect
186. #418C22×C3semidirect
187. #417C22×C3semidirect
188. #416C22×C3semidirect
190. #407C22×C3semidirect
191. #407C22×C3semidirect
192. C2×C22⋊C8C22×C3semidirect
359. #107C23×C3semidirect
360. #106C23×C3semidirect
361. #103C23×C3semidirect
362. #102C23×C3semidirect
648. C3#60511direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5252
C22×C3×#1172
C3×#30952
C3×#30942
C3×#30932
C3×#30922
C3×#30912
C3×#29112
C3×#28962
C2×C3×#4072
#605113