Finite Group Databasebeta

← C3×#82735 #11864181

Subgroups — C3×#82735 #11864181

Order 1152.

1669 conjugacy classes of subgroups.

The subgroup lattice has 663 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#235C211yesmaximal, characteristic
2C2×C32×C22⋊Q8C211yesmaximal, characteristic, complemented
3C2×C3×#942C212yesmaximal, complemented
4C3×#5207C211yesmaximal, characteristic, complemented
5C3×#5050C212yesmaximal, complemented
6C3×#5047C214yesmaximal, complemented
7C3×#5046C212yesmaximal, complemented
8C3×#4966C212yesmaximal, complemented
9C3×#3007—31nomaximal
10#82735C311yesmaximal, characteristic, direct product factor
11C22×C32×Q8C2211yescharacteristic, complemented
12C23×C32×C4C2211yescharacteristic
13C22×C3×#67—21no—
14C2×C3×#235—21no—
15C2×C3×#235—21no—
16C2×C3×#235—28no—
17C2×C3×#235C2212yes—
18C2×C3×#235C2212yes—
19C22×C3×D12C2211yescharacteristic
20C22×C3×C4×D3—21no—
21C22×C3×Dic6C2211yescharacteristic
22C32×C22⋊Q8—21no—
23C32×C22⋊Q8—21no—
24C32×C22⋊Q8C2212yes—
25C32×C22⋊Q8C2212yescomplemented
26C2×C32×C4⋊C4—21no—
27C2×C32×C4⋊C4C2211yescharacteristic, complemented
28C2×C32×C22⋊C4—21no—
29C2×C3×#216C2214yescomplemented
30C3×#942—28no—
31C2×C3×#215C2214yescomplemented
32C2×C3×#208C2212yescomplemented
33C3×#830C2212yes—
34C3×#830C2212yescomplemented
35C3×#810C2214yescomplemented
36C3×#809C2214yescomplemented
37C22×C3×#41—31no—
38C22×#235C2×C311yescharacteristic
39C2×C3×#137—32no—
40C2×C3×C22⋊Q8—21no—
41C2×C3×C22⋊Q8D311yescharacteristic, complemented
42C2×C3×C22⋊Q8C2×C311yescharacteristic, complemented
43C2×#942C2×C312yescomplemented
44C3×#452—34no—
45C3×#451—32no—
46C3×#450—32no—
47C3×#417—32no—
48C3×#407—31no—
49#5207C2×C311yescharacteristic, complemented
50#5050C2×C312yescomplemented
51#5047C2×C314yescomplemented
52#5046C2×C312yescomplemented
53#4966C2×C312yescomplemented
54C24×C32D411yescharacteristic
55C23×C3×D3—21no—
56C2×C32×Q8—21no—
57C2×C32×Q8—24no—
58C2×C32×Q8C2312yes—
59C22×C32×C4—24no—
60C22×C32×C4—21no—
61C22×C32×C4—21no—
62C22×C32×C4D411yescharacteristic
63C22×C32×C4D411yescharacteristic
64C22×C32×C4D411yescharacteristic
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C2×C3×#67—28no—
69C2×C3×#67—22no—
70C2×C3×#67—22no—
71C22×C3×Dic3—21no—
72C3×#235—28no—
73C3×#235—28no—
74C3×#235—24no—
75C3×#235—24no—
76C3×#235—24no—
77C3×#235D418yes—
78C2×C3×D12—21no—
79C2×C3×D12—24no—
80C2×C3×D12C2312yes—
81C2×C3×C4×D3—28no—
82C2×C3×C4×D3—22no—
83C2×C3×C4×D3—22no—
84C2×C3×Dic6—21no—
85C2×C3×Dic6—24no—
86C2×C3×Dic6C2312yes—
87C32×C4⋊C4—22no—
88C32×C4⋊C4—22no—
89C32×C4⋊C4—21no—
90C32×C4⋊C4C2312yes—
91C32×C22⋊C4—22no—
92C32×C22⋊C4—22no—
93C3×#216—28no—
94C3×#215—28no—
95C3×#208—24no—
96C2×C3×C3⋊C8C2314yes—
97#3007—31noSylow
98C2×C3×#41—32no—
99C2×C3×#41—32no—
100C2×C3×#41—68no—
101C2×C3×#41—61no—
102C2×C3×#41—61no—
103C22×C3×Q8—21no—
104C22×C3×Q8—31no—
105C22×C3×Q8C2×D311yescharacteristic, complemented
106C22×C3×Q8C22×C311yescharacteristic, complemented
107C22×C3×D4—31no—
108C22×C3×D4—61no—
109C23×C3×C4—21no—
110C23×C3×C4—61no—
111C23×C3×C4C2×D311yescharacteristic
112C23×C3×C4C22×C311yescharacteristic
113C22×#67—21no—
114C2×#235—21no—
115C2×#235—21no—
116C2×#235—28no—
117C2×#235C22×C312yes—
118C2×#235C22×C312yes—
119C22×D12C22×C311yescharacteristic
120C22×C4×D3—21no—
121C22×Dic6C22×C311yescharacteristic
122C3×#137—68no—
123C2×C3×Q16—34no—
124C2×C3×SD16—34no—
125C2×C3×M16—32no—
126C3×C22⋊Q8—22no—
127C3×C22⋊Q8—22no—
128C3×C22⋊Q8—21no—
129C3×C22⋊Q8—21no—
130C3×C22⋊Q8—21no—
131C3×C22⋊Q8—21no—
132C3×C22⋊Q8—22no—
133C3×C22⋊Q8—22no—
134C3×C22⋊Q8C2×D312yes—
135C3×C22⋊Q8C2×D312yescomplemented
136C3×C22⋊Q8C22×C312yes—
137C3×C22⋊Q8C22×C312yescomplemented
138C2×C3×C4⋊C4—22no—
139C2×C3×C4⋊C4—21no—
140C2×C3×C4⋊C4—21no—
141C2×C3×C4⋊C4—21no—
142C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
143C2×C3×C4⋊C4C22×C311yescharacteristic, complemented
144C2×C3×C22⋊C4—22no—
145C2×C3×C22⋊C4—21no—
146C2×C3×C22⋊C4—21no—
147C2×#216C22×C314yescomplemented
148#942—28no—
149C2×#215C22×C314yescomplemented
150C2×#208C22×C312yescomplemented
151C3×#103—34no—
152C3×#102—34no—
153C3×C22⋊C8—32no—
154C3×C22⋊C8—32no—
155#830C22×C312yes—
156#830C22×C312yescomplemented
157#810C22×C314yescomplemented
158#809C22×C314yescomplemented
159C23×C32—22no—
160C23×C32—22no—
161C23×C32—41no—
162C23×C32C2×D411yescharacteristic
163C23×C32C2×D411yescharacteristic
164C23×C32C2×D411yescharacteristic
165C22×C3×D3—24no—
166C22×C3×D3—22no—
167C22×C3×D3—42no—
168C22×C3×D3—42no—
169C32×Q8—24no—
170C32×Q8—42no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—22no—
178C2×C32×C4—42no—
179C2×C32×C4—42no—
180C2×C32×C4C2×D414yes—
181C2×C32×C4C2×D411yescharacteristic
182C2×C32×C4C2×D411yescharacteristic
183C2×C32×C4C2×D411yescharacteristic
184C2×C32×C4C2411yescharacteristic
185C3×#67—28no—
186C3×#67—28no—
187C2×C3×Dic3—24no—
188C2×C3×Dic3—22no—
189C3×D12—24no—
190C3×D12—22no—
191C3×D12C2×D414yes—
192C3×C4×D3—28no—
193C3×C4×D3—28no—
194C3×Dic6—24no—
195C3×Dic6—22no—
196C3×Dic6C2×D414yes—
197C3×C3⋊C8—24no—
198C22×#41—31no—
199C2×#137—32no—
200C2×C22⋊Q8C3×D311yescharacteristic, complemented
201#452—34no—
202#451—32no—
203#450—32no—
204#417—32no—
205#407—31no—
206C24×C3—21no—
207C24×C3—61no—
208C24×C3#6711yescharacteristic
209C24×C3C3×D411yescharacteristic
210C23×D3—21no—
211C3×#41—38no—
212C3×#41—64no—
213C3×#41—64no—
214C3×#41—68no—
215C3×#41—68no—
216C3×#41—64no—
217C2×C3×Q8—22no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—24no—
221C2×C3×Q8—24no—
222C2×C3×Q8—22no—
223C2×C3×Q8—32no—
224C2×C3×Q8—44no—
225C2×C3×Q8—64no—
226C2×C3×Q8—61no—
227C2×C3×Q8C22×D312yes—
228C2×C3×Q8C23×C312yes—
229C2×C3×D4—32no—
230C2×C3×D4—64no—
231C2×C3×D4—68no—
232C2×C3×D4—62no—
233C2×C3×D4—62no—
234C2×C3×D4—61no—
235C22×C3×C4—24no—
236C22×C3×C4—24no—
237C22×C3×C4—22no—
238C22×C3×C4—22no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4—21no—
248C22×C3×C4—21no—
249C22×C3×C4—44no—
250C22×C3×C4—68no—
251C22×C3×C4—61no—
252C22×C3×C4—62no—
253C22×C3×C4—62no—
254C22×C3×C4#6711yescharacteristic
255C22×C3×C4#6711yescharacteristic
256C22×C3×C4#6711yescharacteristic
257C22×C3×C4C3×D411yescharacteristic
258C22×C3×C4C3×D411yescharacteristic
259C22×C3×C4C3×D411yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C23×C311yescharacteristic
264C22×C3×C4C23×C311yescharacteristic
265C22×C3×C4C23×C311yescharacteristic
266C2×#67—28no—
267C2×#67—22no—
268C2×#67—22no—
269C22×Dic3—21no—
270#235—28no—
271#235—28no—
272#235—24no—
273#235—24no—
274#235—24no—
275#235C3×D418yes—
276C2×D12—21no—
277C2×D12—24no—
278C2×D12C23×C312yes—
279C2×C4×D3—28no—
280C2×C4×D3—22no—
281C2×C4×D3—22no—
282C2×Dic6—21no—
283C2×Dic6—24no—
284C2×Dic6C23×C312yes—
285C3×Q16—68no—
286C3×SD16—68no—
287C3×M16—64no—
288C2×C3×C8—34no—
289C3×C4⋊C4—24no—
290C3×C4⋊C4—24no—
291C3×C4⋊C4—22no—
292C3×C4⋊C4—22no—
293C3×C4⋊C4—22no—
294C3×C4⋊C4—21no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—22no—
297C3×C4⋊C4—21no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4C22×D312yes—
300C3×C4⋊C4C23×C312yes—
301C3×C22⋊C4—24no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—22no—
304C3×C22⋊C4—22no—
305C3×C22⋊C4—22no—
306C3×C22⋊C4—22no—
307#216—28no—
308#215—28no—
309#208—24no—
310C2×C3⋊C8C23×C314yes—
311C22×C32—21no—
312C22×C32—21no—
313C22×C32—21no—
314C22×C32—21no—
315C22×C32—21no—
316C22×C32—21no—
317C22×C32—21no—
318C22×C32—44no—
319C22×C32#12012yes—
320C22×C32#13712yescomplemented
321C22×C32C22×D411yescharacteristic
322C2×C3×D3—24no—
323C2×C3×D3—48no—
324C2×C3×D3—42no—
325C2×C3×D3—42no—
326C32×C4—21no—
327C32×C4—21no—
328C32×C4—42no—
329C32×C4—42no—
330C32×C4#12012yes—
331C32×C4C22×D412yes—
332C3×Dic3—24no—
333C2×#41—32no—
334C2×#41—32no—
335C2×#41—68no—
336C2×#41—61no—
337C2×#41—61no—
338C22×Q8—31no—
339C22×Q8C2×C3×D311yescharacteristic, complemented
340C22×D4—31no—
341C22×D4—61no—
342C23×C4—61no—
343C23×C4C2×C3×D311yescharacteristic
344#137—68no—
345C2×Q16—34no—
346C2×SD16—34no—
347C2×M16—32no—
348C22⋊Q8—21no—
349C22⋊Q8—21no—
350C22⋊Q8C2×C3×D312yes—
351C22⋊Q8C2×C3×D312yescomplemented
352C2×C4⋊C4—21no—
353C2×C4⋊C4C2×C3×D311yescharacteristic, complemented
354C2×C22⋊C4—21no—
355#103—34no—
356#102—34no—
357C22⋊C8—32no—
358C22⋊C8—32no—
359C23×C3—24no—
360C23×C3—22no—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—42no—
368C23×C3—41no—
369C23×C3—41no—
370C23×C3—42no—
371C23×C3—64no—
372C23×C3—62no—
373C23×C3—122no—
374C23×C3—122no—
375C23×C3C2×#6711yescharacteristic
376C23×C3C2×#6711yescharacteristic
377C23×C3C2×#6711yescharacteristic
378C23×C3C2×C3×D411yescharacteristic
379C23×C3C2×C3×D411yescharacteristic
380C23×C3C2×C3×D411yescharacteristic
381C22×D3—24no—
382C22×D3—22no—
383C22×D3—42no—
384C22×D3—42no—
385C3×Q8—24no—
386C3×Q8—24no—
387C3×Q8—34no—
388C3×Q8—44no—
389C3×Q8—44no—
390C3×Q8—42no—
391C3×Q8—42no—
392C3×Q8—64no—
393C3×Q8—62no—
394C3×D4—34no—
395C3×D4—64no—
396C3×D4—68no—
397C3×D4—68no—
398C3×D4—62no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—21no—
416C2×C3×C4—24no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—42no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—42no—
424C2×C3×C4—42no—
425C2×C3×C4—44no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—44no—
429C2×C3×C4—42no—
430C2×C3×C4—42no—
431C2×C3×C4—68no—
432C2×C3×C4—64no—
433C2×C3×C4—62no—
434C2×C3×C4—68no—
435C2×C3×C4D3×D414yes—
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C2×#6711yescharacteristic
438C2×C3×C4C2×#6711yescharacteristic
439C2×C3×C4C2×C3×D414yes—
440C2×C3×C4C2×C3×D411yescharacteristic
441C2×C3×C4C2×C3×D411yescharacteristic
442C2×C3×C4C2×C3×D411yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444C2×C3×C4C24×C311yescharacteristic
445#67—28no—
446#67—28no—
447C2×Dic3—24no—
448C2×Dic3—22no—
449D12—24no—
450D12—22no—
451D12C2×C3×D414yes—
452C4×D3—28no—
453C4×D3—28no—
454Dic6—24no—
455Dic6—22no—
456Dic6C2×C3×D414yes—
457C3×C8—64no—
458C3⋊C8—24no—
459C2×C32—22no—
460C2×C32—22no—
461C2×C32—41no—
462C2×C32C2×#12011yescharacteristic
463C2×C32C2×#13711yescharacteristic
464C2×C32#57511yescharacteristic
465C3×D3—44no—
466C24—61no—
467C24C3×#6711yescharacteristic
468#41—38no—
469#41—64no—
470#41—64no—
471#41—68no—
472#41—68no—
473#41—64no—
474C2×Q8—21no—
475C2×Q8—24no—
476C2×Q8—32no—
477C2×Q8—64no—
478C2×Q8—61no—
479C2×Q8C22×C3×D312yes—
480C2×D4—32no—
481C2×D4—64no—
482C2×D4—68no—
483C2×D4—62no—
484C2×D4—62no—
485C2×D4—61no—
486C22×C4—24no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—68no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4C3×#6711yescharacteristic
494C22×C4C3×#6711yescharacteristic
495C22×C4C3×#6711yescharacteristic
496C22×C4C22×C3×D311yescharacteristic
497C22×C4C22×C3×D311yescharacteristic
498C22×C4C22×C3×D311yescharacteristic
499Q16—68no—
500SD16—68no—
501M16—64no—
502C2×C8—34no—
503C4⋊C4—22no—
504C4⋊C4—22no—
505C4⋊C4—21no—
506C4⋊C4C22×C3×D312yes—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—21no—
516C22×C3—21no—
517C22×C3—21no—
518C22×C3—21no—
519C22×C3—22no—
520C22×C3—21no—
521C22×C3—21no—
522C22×C3—21no—
523C22×C3—21no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—41no—
532C22×C3—41no—
533C22×C3—44no—
534C22×C3—44no—
535C22×C3—48no—
536C22×C3—64no—
537C22×C3—128no—
538C22×C3—122no—
539C22×C3—122no—
540C22×C3#93712yes—
541C22×C3#94212yescomplemented
542C22×C3C3×#12012yes—
543C22×C3C3×#13712yescomplemented
544C22×C3C22×#6711yescharacteristic
545C22×C3C22×C3×D411yescharacteristic
546C2×D3—24no—
547C2×D3—48no—
548C2×D3—42no—
549C2×D3—42no—
550C3×C4—21no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—41no—
557C3×C4—41no—
558C3×C4—44no—
559C3×C4—44no—
560C3×C4—42no—
561C3×C4—42no—
562C3×C4—42no—
563C3×C4—42no—
564C3×C4—64no—
565C3×C4#93712yes—
566C3×C4C3×#12012yes—
567C3×C4C2×D3×D412yes—
568C3×C4C22×C3×D412yes—
569Dic3—24no—
570C32#300711yescharacteristic, complemented, Sylow
571C23—22no—
572C23—22no—
573C23—41no—
574C23—64no—
575C23—62no—
576C23—122no—
577C23—122no—
578C23C2×C3×#6711yescharacteristic
579C23C2×C3×#6711yescharacteristic
580C23C2×C3×#6711yescharacteristic
581Q8—24no—
582Q8—34no—
583Q8—42no—
584Q8—64no—
585Q8—62no—
586D4—34no—
587D4—64no—
588D4—68no—
589D4—68no—
590D4—62no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—68no—
601C2×C4—64no—
602C2×C4—62no—
603C2×C4—68no—
604C2×C4C3×D3×D414yes—
605C2×C4C2×C3×#6711yescharacteristic
606C2×C4C2×C3×#6711yescharacteristic
607C2×C4C2×C3×#6711yescharacteristic
608C2×C4C23×C3×D311yescharacteristic
609C8—64no—
610C2×C3—24no—
611C2×C3—22no—
612C2×C3—22no—
613C2×C3—22no—
614C2×C3—22no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—42no—
619C2×C3—42no—
620C2×C3—41no—
621C2×C3—41no—
622C2×C3—124no—
623C2×C3C2×#93711yescharacteristic
624C2×C3C2×#94211yescharacteristic
625C2×C3#582211yescharacteristic
626C2×C3C2×C3×#12011yescharacteristic
627C2×C3C2×C3×#13711yescharacteristic
628C2×C3C3×#57511yescharacteristic
629D3—44no—
630C22—21no—
631C22—21no—
632C22—21no—
633C22—21no—
634C22—21no—
635C22—21no—
636C22—21no—
637C22—44no—
638C22—64no—
639C22—128no—
640C22—122no—
641C22—122no—
642C22C3×#93712yes—
643C22C3×#94212yescomplemented
644C22C22×C3×#6711yescharacteristic
645C4—21no—
646C4—21no—
647C4—42no—
648C4—42no—
649C4—64no—
650C4C3×#93712yes—
651C4C2×C3×D3×D412yes—
652C3—21no—
653C3#8273511yescharacteristic, direct product factor
654C3C3×#300711yescharacteristic, complemented
655C2—22no—
656C2—22no—
657C2—41no—
658C2—124no—
659C2C2×C3×#93711yescharacteristic
660C2C2×C3×#94211yescharacteristic
661C2C3×#582211yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC2×C32×C22⋊Q8C2
socleC22×C32C22×D4
prime radicalC22×C3×#235C2
hypercenterC2×C3×C22⋊Q8D3
hypocenterC3C3×#3007
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ C2×C3×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×C32×C22⋊Q8C2semidirect
3. C2×C3×#942C2semidirect
4. C3×#5207C2semidirect
5. C3×#5050C2semidirect
6. C3×#5047C2semidirect
7. C3×#5046C2semidirect
8. C3×#4966C2semidirect
10. #82735C3direct (N × H)
11. C22×C32×Q8C22semidirect
25. C32×C22⋊Q8C22semidirect
27. C2×C32×C4⋊C4C22semidirect
29. C2×C3×#216C22semidirect
31. C2×C3×#215C22semidirect
32. C2×C3×#208C22semidirect
34. C3×#830C22semidirect
35. C3×#810C22semidirect
36. C3×#809C22semidirect
41. C2×C3×C22⋊Q8D3semidirect
42. C2×C3×C22⋊Q8C2×C3semidirect
43. C2×#942C2×C3semidirect
49. #5207C2×C3semidirect
50. #5050C2×C3semidirect
51. #5047C2×C3semidirect
52. #5046C2×C3semidirect
53. #4966C2×C3semidirect
105. C22×C3×Q8C2×D3semidirect
106. C22×C3×Q8C22×C3semidirect
135. C3×C22⋊Q8C2×D3semidirect
137. C3×C22⋊Q8C22×C3semidirect
142. C2×C3×C4⋊C4C2×D3semidirect
143. C2×C3×C4⋊C4C22×C3semidirect
147. C2×#216C22×C3semidirect
149. C2×#215C22×C3semidirect
150. C2×#208C22×C3semidirect
156. #830C22×C3semidirect
157. #810C22×C3semidirect
158. #809C22×C3semidirect
200. C2×C22⋊Q8C3×D3semidirect
320. C22×C32#137semidirect
339. C22×Q8C2×C3×D3semidirect
351. C22⋊Q8C2×C3×D3semidirect
353. C2×C4⋊C4C2×C3×D3semidirect
541. C22×C3#942semidirect
543. C22×C3C3×#137semidirect
570. C32#3007semidirect
643. C22C3×#942semidirect
653. C3#82735direct (N × H)
654. C3C3×#3007semidirect

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×C22⋊Q82
C2×C3×#9422
C3×#52072
C3×#50502
C3×#50472
C3×#50462
C3×#49662
C3×#30073
#827353