Finite Group Databasebeta

← C3×#82624 #11864111

Subgroups — C3×#82624 #11864111

Order 1152.

1825 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#235C211yesmaximal, characteristic, complemented
2C2×C32×#121C211yesmaximal, characteristic, complemented
3C2×C3×#932C212yesmaximal, complemented
4C3×#5207C211yesmaximal, characteristic, complemented
5C3×#5040C212yesmaximal, complemented
6C3×#5037C214yesmaximal, complemented
7C3×#5036C212yesmaximal, complemented
8C3×#4966C212yesmaximal, complemented
9C3×#3006—31nomaximal
10#82624C311yesmaximal, characteristic, direct product factor
11C22×C32×D4—21no—
12C22×C32×D4C2211yescharacteristic, complemented
13C23×C32×C4C2211yescharacteristic
14C22×C3×#67—21no—
15C2×C3×#235—21no—
16C2×C3×#235—21no—
17C2×C3×#235—28no—
18C2×C3×#235C2212yes—
19C2×C3×#235C2212yescomplemented
20C22×C3×D12C2211yescharacteristic, complemented
21C22×C3×C4×D3—21no—
22C22×C3×Dic6C2211yescharacteristic, complemented
23C32×#121—21no—
24C32×#121—21no—
25C32×#121C2212yes—
26C32×#121C2212yescomplemented
27C2×C32×C4⋊C4C2211yescharacteristic, complemented
28C2×C32×C22⋊C4—21no—
29C2×C3×#214C2214yescomplemented
30C3×#932—28no—
31C2×C3×#213C2214yescomplemented
32C2×C3×#208C2212yescomplemented
33C3×#830C2212yescomplemented
34C3×#830C2212yescomplemented
35C3×#810C2214yescomplemented
36C3×#809C2214yescomplemented
37C22×C3×#41—31no—
38C22×#235C2×C311yescharacteristic, complemented
39C2×C3×AGL(1,ℤ/8)—32no—
40C2×C3×#121—21no—
41C2×C3×#121D311yescharacteristic, complemented
42C2×C3×#121C2×C311yescharacteristic, complemented
43C2×#932C2×C312yescomplemented
44C3×#449—34no—
45C3×#448—32no—
46C3×#447—32no—
47C3×#417—32no—
48C3×#407—31no—
49#5207C2×C311yescharacteristic, complemented
50#5040C2×C312yescomplemented
51#5037C2×C314yescomplemented
52#5036C2×C312yescomplemented
53#4966C2×C312yescomplemented
54C24×C32—21no—
55C24×C32D411yescharacteristic
56C23×C3×D3—21no—
57C2×C32×D4—22no—
58C2×C32×D4—22no—
59C2×C32×D4—24no—
60C2×C32×D4—21no—
61C2×C32×D4—44no—
62C2×C32×D4C2312yes—
63C22×C32×C4—24no—
64C22×C32×C4—21no—
65C22×C32×C4D411yescharacteristic
66C22×C32×C4D411yescharacteristic
67C22×C32×C4D411yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2311yescharacteristic
71C2×C3×#67—28no—
72C2×C3×#67—22no—
73C2×C3×#67—22no—
74C22×C3×Dic3—21no—
75C3×#235—28no—
76C3×#235—28no—
77C3×#235—24no—
78C3×#235—24no—
79C3×#235—24no—
80C3×#235D418yescomplemented
81C2×C3×D12—21no—
82C2×C3×D12—24no—
83C2×C3×D12C2312yes—
84C2×C3×C4×D3—28no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×Dic6—21no—
88C2×C3×Dic6—24no—
89C2×C3×Dic6C2312yes—
90C32×C4⋊C4—21no—
91C32×C4⋊C4C2312yes—
92C32×C22⋊C4—22no—
93C32×C22⋊C4—22no—
94C3×#214—28no—
95C3×#213—28no—
96C3×#208—24no—
97C2×C3×C3⋊C8C2314yes—
98#3006—31noSylow
99C2×C3×#41—32no—
100C2×C3×#41—32no—
101C2×C3×#41—68no—
102C2×C3×#41—61no—
103C2×C3×#41—61no—
104C22×C3×Q8—31no—
105C22×C3×D4—22no—
106C22×C3×D4—21no—
107C22×C3×D4—21no—
108C22×C3×D4—21no—
109C22×C3×D4—31no—
110C22×C3×D4—61no—
111C22×C3×D4C2×D311yescharacteristic, complemented
112C22×C3×D4C22×C311yescharacteristic, complemented
113C23×C3×C4—21no—
114C23×C3×C4—61no—
115C23×C3×C4C2×D311yescharacteristic
116C23×C3×C4C22×C311yescharacteristic
117C22×#67—21no—
118C2×#235—21no—
119C2×#235—21no—
120C2×#235—28no—
121C2×#235C22×C312yes—
122C2×#235C22×C312yescomplemented
123C22×D12C22×C311yescharacteristic, complemented
124C22×C4×D3—21no—
125C22×Dic6C22×C311yescharacteristic, complemented
126C3×AGL(1,ℤ/8)—68no—
127C2×C3×SD16—34no—
128C2×C3×D8—34no—
129C2×C3×M16—32no—
130C3×#121—22no—
131C3×#121—22no—
132C3×#121—21no—
133C3×#121—21no—
134C3×#121—21no—
135C3×#121—21no—
136C3×#121—22no—
137C3×#121—22no—
138C3×#121C2×D312yes—
139C3×#121C2×D312yescomplemented
140C3×#121C22×C312yes—
141C3×#121C22×C312yescomplemented
142C2×C3×C4⋊C4—21no—
143C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
144C2×C3×C4⋊C4C22×C311yescharacteristic, complemented
145C2×C3×C22⋊C4—22no—
146C2×C3×C22⋊C4—21no—
147C2×C3×C22⋊C4—21no—
148C2×#214C22×C314yescomplemented
149#932—28no—
150C2×#213C22×C314yescomplemented
151C2×#208C22×C312yescomplemented
152C3×#103—34no—
153C3×#102—34no—
154C3×C22⋊C8—32no—
155C3×C22⋊C8—32no—
156#830C22×C312yescomplemented
157#830C22×C312yescomplemented
158#810C22×C314yescomplemented
159#809C22×C314yescomplemented
160C23×C32—22no—
161C23×C32—22no—
162C23×C32—22no—
163C23×C32—41no—
164C23×C32—42no—
165C23×C32—42no—
166C23×C32—42no—
167C23×C32C2×D411yescharacteristic
168C23×C32C2×D411yescharacteristic
169C23×C32C2×D411yescharacteristic
170C22×C3×D3—24no—
171C22×C3×D3—22no—
172C22×C3×D3—42no—
173C22×C3×D3—42no—
174C32×D4—24no—
175C32×D4—44no—
176C32×D4—44no—
177C32×D4—42no—
178C2×C32×C4—22no—
179C2×C32×C4—22no—
180C2×C32×C4—22no—
181C2×C32×C4—22no—
182C2×C32×C4—22no—
183C2×C32×C4—22no—
184C2×C32×C4—42no—
185C2×C32×C4C2×D414yes—
186C2×C32×C4C2×D411yescharacteristic
187C2×C32×C4C2×D411yescharacteristic
188C2×C32×C4C2×D411yescharacteristic
189C2×C32×C4C2411yescharacteristic
190C3×#67—28no—
191C3×#67—28no—
192C2×C3×Dic3—24no—
193C2×C3×Dic3—22no—
194C3×D12—24no—
195C3×D12—22no—
196C3×D12C2×D414yescomplemented
197C3×C4×D3—28no—
198C3×C4×D3—28no—
199C3×Dic6—24no—
200C3×Dic6—22no—
201C3×Dic6C2×D414yescomplemented
202C3×C3⋊C8—24no—
203C22×#41—31no—
204C2×AGL(1,ℤ/8)—32no—
205C2×#121C3×D311yescharacteristic, complemented
206#449—34no—
207#448—32no—
208#447—32no—
209#417—32no—
210#407—31no—
211C24×C3—22no—
212C24×C3—21no—
213C24×C3—21no—
214C24×C3—21no—
215C24×C3—61no—
216C24×C3#6711yescharacteristic
217C24×C3C3×D411yescharacteristic
218C23×D3—21no—
219C3×#41—38no—
220C3×#41—64no—
221C3×#41—64no—
222C3×#41—68no—
223C3×#41—68no—
224C3×#41—64no—
225C2×C3×Q8—32no—
226C2×C3×Q8—64no—
227C2×C3×Q8—61no—
228C2×C3×D4—24no—
229C2×C3×D4—24no—
230C2×C3×D4—22no—
231C2×C3×D4—22no—
232C2×C3×D4—22no—
233C2×C3×D4—22no—
234C2×C3×D4—22no—
235C2×C3×D4—24no—
236C2×C3×D4—21no—
237C2×C3×D4—24no—
238C2×C3×D4—21no—
239C2×C3×D4—22no—
240C2×C3×D4—32no—
241C2×C3×D4—44no—
242C2×C3×D4—48no—
243C2×C3×D4—44no—
244C2×C3×D4—44no—
245C2×C3×D4—64no—
246C2×C3×D4—68no—
247C2×C3×D4—62no—
248C2×C3×D4—62no—
249C2×C3×D4—61no—
250C2×C3×D4C22×D312yes—
251C2×C3×D4C23×C312yes—
252C22×C3×C4—24no—
253C22×C3×C4—24no—
254C22×C3×C4—22no—
255C22×C3×C4—21no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—44no—
264C22×C3×C4—68no—
265C22×C3×C4—61no—
266C22×C3×C4—62no—
267C22×C3×C4—62no—
268C22×C3×C4#6711yescharacteristic
269C22×C3×C4#6711yescharacteristic
270C22×C3×C4#6711yescharacteristic
271C22×C3×C4C3×D411yescharacteristic
272C22×C3×C4C3×D411yescharacteristic
273C22×C3×C4C3×D411yescharacteristic
274C22×C3×C4C22×D311yescharacteristic
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C22×C3×C4C23×C311yescharacteristic
278C22×C3×C4C23×C311yescharacteristic
279C22×C3×C4C23×C311yescharacteristic
280C2×#67—28no—
281C2×#67—22no—
282C2×#67—22no—
283C22×Dic3—21no—
284#235—28no—
285#235—28no—
286#235—24no—
287#235—24no—
288#235—24no—
289#235C3×D418yescomplemented
290C2×D12—21no—
291C2×D12—24no—
292C2×D12C23×C312yes—
293C2×C4×D3—28no—
294C2×C4×D3—22no—
295C2×C4×D3—22no—
296C2×Dic6—21no—
297C2×Dic6—24no—
298C2×Dic6C23×C312yes—
299C3×SD16—68no—
300C3×D8—68no—
301C3×M16—64no—
302C2×C3×C8—34no—
303C3×C4⋊C4—22no—
304C3×C4⋊C4—21no—
305C3×C4⋊C4—21no—
306C3×C4⋊C4—22no—
307C3×C4⋊C4C22×D312yes—
308C3×C4⋊C4C23×C312yes—
309C3×C22⋊C4—24no—
310C3×C22⋊C4—24no—
311C3×C22⋊C4—22no—
312C3×C22⋊C4—22no—
313C3×C22⋊C4—22no—
314C3×C22⋊C4—22no—
315#214—28no—
316#213—28no—
317#208—24no—
318C2×C3⋊C8C23×C314yes—
319C22×C32—21no—
320C22×C32—21no—
321C22×C32—21no—
322C22×C32—21no—
323C22×C32—21no—
324C22×C32—21no—
325C22×C32—21no—
326C22×C32—44no—
327C22×C32—42no—
328C22×C32—42no—
329C22×C32—42no—
330C22×C32—84no—
331C22×C32#12012yes—
332C22×C32AGL(1,ℤ/8)12yescomplemented
333C22×C32C22×D411yescharacteristic
334C2×C3×D3—24no—
335C2×C3×D3—48no—
336C2×C3×D3—42no—
337C2×C3×D3—42no—
338C32×C4—21no—
339C32×C4—21no—
340C32×C4—42no—
341C32×C4#12012yes—
342C32×C4C22×D412yes—
343C3×Dic3—24no—
344C2×#41—32no—
345C2×#41—32no—
346C2×#41—68no—
347C2×#41—61no—
348C2×#41—61no—
349C22×Q8—31no—
350C22×D4—21no—
351C22×D4—31no—
352C22×D4—61no—
353C22×D4C2×C3×D311yescharacteristic, complemented
354C23×C4—61no—
355C23×C4C2×C3×D311yescharacteristic
356AGL(1,ℤ/8)—68no—
357C2×SD16—34no—
358C2×D8—34no—
359C2×M16—32no—
360#121—21no—
361#121—21no—
362#121C2×C3×D312yes—
363#121C2×C3×D312yescomplemented
364C2×C4⋊C4C2×C3×D311yescharacteristic, complemented
365C2×C22⋊C4—21no—
366#103—34no—
367#102—34no—
368C22⋊C8—32no—
369C22⋊C8—32no—
370C23×C3—24no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—24no—
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—42no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—42no—
385C23×C3—44no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3—44no—
389C23×C3—44no—
390C23×C3—42no—
391C23×C3—42no—
392C23×C3—42no—
393C23×C3—42no—
394C23×C3—64no—
395C23×C3—62no—
396C23×C3—122no—
397C23×C3—122no—
398C23×C3C2×#6711yescharacteristic
399C23×C3C2×#6711yescharacteristic
400C23×C3C2×#6711yescharacteristic
401C23×C3C2×C3×D411yescharacteristic
402C23×C3C2×C3×D411yescharacteristic
403C23×C3C2×C3×D411yescharacteristic
404C22×D3—24no—
405C22×D3—22no—
406C22×D3—42no—
407C22×D3—42no—
408C3×Q8—34no—
409C3×Q8—64no—
410C3×Q8—62no—
411C3×D4—24no—
412C3×D4—24no—
413C3×D4—34no—
414C3×D4—44no—
415C3×D4—44no—
416C3×D4—48no—
417C3×D4—44no—
418C3×D4—44no—
419C3×D4—48no—
420C3×D4—44no—
421C3×D4—44no—
422C3×D4—42no—
423C3×D4—42no—
424C3×D4—64no—
425C3×D4—68no—
426C3×D4—68no—
427C3×D4—62no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—24no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—21no—
442C2×C3×C4—24no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—42no—
447C2×C3×C4—42no—
448C2×C3×C4—42no—
449C2×C3×C4—42no—
450C2×C3×C4—42no—
451C2×C3×C4—44no—
452C2×C3×C4—42no—
453C2×C3×C4—42no—
454C2×C3×C4—68no—
455C2×C3×C4—64no—
456C2×C3×C4—62no—
457C2×C3×C4—68no—
458C2×C3×C4D3×D414yes—
459C2×C3×C4C2×#6711yescharacteristic
460C2×C3×C4C2×#6711yescharacteristic
461C2×C3×C4C2×#6711yescharacteristic
462C2×C3×C4C2×C3×D414yes—
463C2×C3×C4C2×C3×D411yescharacteristic
464C2×C3×C4C2×C3×D411yescharacteristic
465C2×C3×C4C2×C3×D411yescharacteristic
466C2×C3×C4C23×D311yescharacteristic
467C2×C3×C4C24×C311yescharacteristic
468#67—28no—
469#67—28no—
470C2×Dic3—24no—
471C2×Dic3—22no—
472D12—24no—
473D12—22no—
474D12C2×C3×D414yescomplemented
475C4×D3—28no—
476C4×D3—28no—
477Dic6—24no—
478Dic6—22no—
479Dic6C2×C3×D414yescomplemented
480C3×C8—64no—
481C3⋊C8—24no—
482C2×C32—22no—
483C2×C32—22no—
484C2×C32—41no—
485C2×C32—82no—
486C2×C32C2×#12011yescharacteristic
487C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
488C2×C32#57511yescharacteristic
489C3×D3—44no—
490C24—21no—
491C24—61no—
492C24C3×#6711yescharacteristic
493#41—38no—
494#41—64no—
495#41—64no—
496#41—68no—
497#41—68no—
498#41—64no—
499C2×Q8—32no—
500C2×Q8—64no—
501C2×Q8—61no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—24no—
505C2×D4—21no—
506C2×D4—32no—
507C2×D4—44no—
508C2×D4—64no—
509C2×D4—68no—
510C2×D4—62no—
511C2×D4—62no—
512C2×D4—61no—
513C2×D4C22×C3×D312yes—
514C22×C4—24no—
515C22×C4—21no—
516C22×C4—68no—
517C22×C4—61no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4C3×#6711yescharacteristic
521C22×C4C3×#6711yescharacteristic
522C22×C4C3×#6711yescharacteristic
523C22×C4C22×C3×D311yescharacteristic
524C22×C4C22×C3×D311yescharacteristic
525C22×C4C22×C3×D311yescharacteristic
526SD16—68no—
527D8—68no—
528M16—64no—
529C2×C8—34no—
530C4⋊C4—21no—
531C4⋊C4C22×C3×D312yes—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—21no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—21no—
547C22×C3—21no—
548C22×C3—21no—
549C22×C3—21no—
550C22×C3—21no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—44no—
559C22×C3—44no—
560C22×C3—48no—
561C22×C3—44no—
562C22×C3—44no—
563C22×C3—44no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—42no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—64no—
571C22×C3—88no—
572C22×C3—84no—
573C22×C3—84no—
574C22×C3—128no—
575C22×C3—122no—
576C22×C3—122no—
577C22×C3#93212yescomplemented
578C22×C3#93712yes—
579C22×C3C3×#12012yes—
580C22×C3C3×AGL(1,ℤ/8)12yescomplemented
581C22×C3C22×#6711yescharacteristic
582C22×C3C22×C3×D411yescharacteristic
583C2×D3—24no—
584C2×D3—48no—
585C2×D3—42no—
586C2×D3—42no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—41no—
594C3×C4—41no—
595C3×C4—44no—
596C3×C4—42no—
597C3×C4—42no—
598C3×C4—64no—
599C3×C4#93712yes—
600C3×C4C3×#12012yes—
601C3×C4C2×D3×D412yes—
602C3×C4C22×C3×D412yes—
603Dic3—24no—
604C32#300611yescharacteristic, complemented, Sylow
605C23—22no—
606C23—22no—
607C23—22no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—64no—
613C23—62no—
614C23—122no—
615C23—122no—
616C23C2×C3×#6711yescharacteristic
617C23C2×C3×#6711yescharacteristic
618C23C2×C3×#6711yescharacteristic
619Q8—34no—
620Q8—64no—
621Q8—62no—
622D4—24no—
623D4—34no—
624D4—44no—
625D4—44no—
626D4—42no—
627D4—64no—
628D4—68no—
629D4—68no—
630D4—62no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—68no—
639C2×C4—64no—
640C2×C4—62no—
641C2×C4—68no—
642C2×C4C3×D3×D414yes—
643C2×C4C2×C3×#6711yescharacteristic
644C2×C4C2×C3×#6711yescharacteristic
645C2×C4C2×C3×#6711yescharacteristic
646C2×C4C23×C3×D311yescharacteristic
647C8—64no—
648C2×C3—24no—
649C2×C3—22no—
650C2×C3—22no—
651C2×C3—22no—
652C2×C3—22no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—42no—
657C2×C3—42no—
658C2×C3—41no—
659C2×C3—41no—
660C2×C3—84no—
661C2×C3—82no—
662C2×C3—82no—
663C2×C3—124no—
664C2×C3C2×#93211yescharacteristic
665C2×C3C2×#93711yescharacteristic
666C2×C3#582211yescharacteristic
667C2×C3C2×C3×#12011yescharacteristic
668C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
669C2×C3C3×#57511yescharacteristic
670D3—44no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—44no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—64no—
683C22—84no—
684C22—128no—
685C22—122no—
686C22—122no—
687C22C3×#93212yescomplemented
688C22C3×#93712yes—
689C22C22×C3×#6711yescharacteristic
690C4—21no—
691C4—21no—
692C4—42no—
693C4—64no—
694C4C3×#93712yes—
695C4C2×C3×D3×D412yes—
696C3—21no—
697C3#8262411yescharacteristic, direct product factor
698C3C3×#300611yescharacteristic, complemented
699C2—22no—
700C2—22no—
701C2—41no—
702C2—82no—
703C2—124no—
704C2C2×C3×#93211yescharacteristic
705C2C2×C3×#93711yescharacteristic
706C2C3×#582211yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC2×C32×#121C2
socleC22×C32C22×D4
hypercenterC2×C3×#121D3
hypocenterC3C3×#3006
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ C2×C3×#121

Complements

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

NH ≅ G/Ntype
1. C22×C3×#235C2semidirect
2. C2×C32×#121C2semidirect
3. C2×C3×#932C2semidirect
4. C3×#5207C2semidirect
5. C3×#5040C2semidirect
6. C3×#5037C2semidirect
7. C3×#5036C2semidirect
8. C3×#4966C2semidirect
10. #82624C3direct (N × H)
12. C22×C32×D4C22semidirect
19. C2×C3×#235C22semidirect
20. C22×C3×D12C22semidirect
22. C22×C3×Dic6C22semidirect
26. C32×#121C22semidirect
27. C2×C32×C4⋊C4C22semidirect
29. C2×C3×#214C22semidirect
31. C2×C3×#213C22semidirect
32. C2×C3×#208C22semidirect
33. C3×#830C22semidirect
34. C3×#830C22semidirect
35. C3×#810C22semidirect
36. C3×#809C22semidirect
38. C22×#235C2×C3semidirect
41. C2×C3×#121D3semidirect
42. C2×C3×#121C2×C3semidirect
43. C2×#932C2×C3semidirect
49. #5207C2×C3semidirect
50. #5040C2×C3semidirect
51. #5037C2×C3semidirect
52. #5036C2×C3semidirect
53. #4966C2×C3semidirect
80. C3×#235D4semidirect
111. C22×C3×D4C2×D3semidirect
112. C22×C3×D4C22×C3semidirect
122. C2×#235C22×C3semidirect
123. C22×D12C22×C3semidirect
125. C22×Dic6C22×C3semidirect
139. C3×#121C2×D3semidirect
141. C3×#121C22×C3semidirect
143. C2×C3×C4⋊C4C2×D3semidirect
144. C2×C3×C4⋊C4C22×C3semidirect
148. C2×#214C22×C3semidirect
150. C2×#213C22×C3semidirect
151. C2×#208C22×C3semidirect
156. #830C22×C3semidirect
157. #830C22×C3semidirect
158. #810C22×C3semidirect
159. #809C22×C3semidirect
196. C3×D12C2×D4semidirect
201. C3×Dic6C2×D4semidirect
205. C2×#121C3×D3semidirect
289. #235C3×D4semidirect
332. C22×C32AGL(1,ℤ/8)semidirect
353. C22×D4C2×C3×D3semidirect
363. #121C2×C3×D3semidirect
364. C2×C4⋊C4C2×C3×D3semidirect
474. D12C2×C3×D4semidirect
479. Dic6C2×C3×D4semidirect
577. C22×C3#932semidirect
580. C22×C3C3×AGL(1,ℤ/8)semidirect
604. C32#3006semidirect
687. C22C3×#932semidirect
697. C3#82624direct (N × H)
698. C3C3×#3006semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2352
C2×C32×#1212
C2×C3×#9322
C3×#52072
C3×#50402
C3×#50372
C3×#50362
C3×#49662
C3×#30063
#826243