Finite Group Databasebeta

← C3×#78926 #11863930

Subgroups — C3×#78926 #11863930

Order 1152.

2083 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×D4C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic, complemented
3C2×C3×#908C211yesmaximal, characteristic, complemented
4C3×#5524C211yesmaximal, characteristic, complemented
5C32×#418C211yesmaximal, characteristic, complemented
6C3×#5126C211yesmaximal, characteristic, complemented
7C3×#5001C211yesmaximal, characteristic, complemented
8C3×#4776C214yesmaximal, complemented
9C3×#4773C214yesmaximal, complemented
10C3×#3003—31nomaximal
11#78926C311yesmaximal, characteristic, direct product factor
12C24×C3×D3—21no—
13C22×C32×D4C2211yescharacteristic
14C22×C3×#67—21no—
15C2×C3×D3×D4—24no—
16C2×C3×D3×D4—24no—
17C2×C3×D3×D4—22no—
18C2×C3×D3×D4C2214yes—
19C2×C3×#235C2211yescharacteristic, complemented
20C22×C3×D12C2211yescharacteristic
21C22×C3×C4×D3C2211yescharacteristic
22C2×C32×M16C2211yescharacteristic, complemented
23C32×#117C2211yescharacteristic, complemented
24C2×C3×#214C2212yescomplemented
25C3×#932—24no—
26C2×C3×#213C2212yescomplemented
27C2×C3×#208C2211yescharacteristic, complemented
28C3×#908—24no—
29C2×C3×D24C2212yescomplemented
30C2×C3×#204C2212yescomplemented
31C3×#897C2212yescomplemented
32C3×#895C2212yescomplemented
33C3×#886—21no—
34C3×#882—21no—
35C3×C4×D12—22no—
36C32×#102C2214yescomplemented
37C3×(C2×D3)⋊C8C2214yescomplemented
38C3×#809C2214yescomplemented
39C23×C3×D4—31no—
40C22×D3×D4C2×C311yescharacteristic, complemented
41C2×C3×AGL(1,ℤ/8)—31no—
42C2×C3×AGL(1,ℤ/8)—31no—
43C3×#525—31no—
44C2×#932C2×C311yescharacteristic, complemented
45C2×#908C2×C311yescharacteristic, complemented
46#5524C2×C311yescharacteristic, complemented
47C3×#450—34no—
48C3×#447—34no—
49C3×#418—21no—
50C3×#418—31no—
51C3×#418D311yescharacteristic, complemented
52C3×#418C2×C311yescharacteristic, complemented
53C3×#407—31no—
54#5126C2×C311yescharacteristic, complemented
55#5001C2×C311yescharacteristic, complemented
56#4776C2×C314yescomplemented
57#4773C2×C314yescomplemented
58C24×C32—21no—
59C23×C3×D3—28no—
60C23×C3×D3—21no—
61C23×C3×D3—24no—
62C23×C3×D3—48no—
63C23×C3×D3D411yescharacteristic
64C2×C32×D4—21no—
65C2×C32×D4—22no—
66C2×C32×D4D414yescomplemented
67C2×C32×D4C2312yes—
68C22×C32×C4C2311yescharacteristic
69C2×C3×#67—28no—
70C2×C3×#67—21no—
71C2×C3×#67—24no—
72C22×C3×Dic3D411yescharacteristic
73C3×D3×D4—216no—
74C3×D3×D4—28no—
75C3×D3×D4—28no—
76C3×#235—22no—
77C3×#235—22no—
78C2×C3×D12—21no—
79C2×C3×D12—22no—
80C2×C3×D12—22no—
81C2×C3×D12D414yescomplemented
82C2×C3×D12C2312yes—
83C2×C3×D12C2311yescharacteristic, complemented
84C2×C3×C4×D3—22no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—21no—
87C2×C3×C4×D3D412yes—
88C2×C3×C4×D3C2312yes—
89C2×C3×Dic6C2311yescharacteristic, complemented
90C32×M16—22no—
91C2×C32×C8C2312yescomplemented
92C32×C4⋊C4C2312yescomplemented
93C32×C22⋊C4—21no—
94C32×C42—21no—
95C3×#214—24no—
96C3×#213—24no—
97C3×(C2×D3)⋊C4—22no—
98C3×(C2×D3)⋊C4—22no—
99C3×C4⋊Dic3—22no—
100C3×#208—22no—
101C2×C3×C3⋊C8C2312yescomplemented
102C3×D24—24no—
103C3×#204—24no—
104#3003—31noSylow
105C25×C3—61no—
106C24×D3—21no—
107C2×C3×#41—31no—
108C22×C3×D4—21no—
109C22×C3×D4—34no—
110C22×C3×D4—31no—
111C22×C3×D4—62no—
112C22×C3×D4—61no—
113C22×C3×D4—64no—
114C22×C3×D4—64no—
115C22×C3×D4C2×D311yescharacteristic
116C22×C3×D4C22×C311yescharacteristic
117C23×C3×C4—31no—
118C22×#67—21no—
119C2×D3×D4—24no—
120C2×D3×D4—24no—
121C2×D3×D4—22no—
122C2×D3×D4C22×C314yes—
123C2×#235C22×C311yescharacteristic, complemented
124C22×D12C22×C311yescharacteristic
125C22×C4×D3C22×C311yescharacteristic
126C3×AGL(1,ℤ/8)—64no—
127C3×AGL(1,ℤ/8)—64no—
128C2×C3×SD16—32no—
129C2×C3×SD16—32no—
130C2×C3×D8—32no—
131C2×C3×D8—32no—
132C2×C3×M16—21no—
133C2×C3×M16—31no—
134C2×C3×M16C2×D311yescharacteristic, complemented
135C2×C3×M16C22×C311yescharacteristic, complemented
136C3×#123—61no—
137C3×C22⋊Q8—32no—
138C3×#121—32no—
139C3×#120—61no—
140C3×C4×D4—62no—
141C3×#117—21no—
142C3×#117C2×D311yescharacteristic, complemented
143C3×#117C22×C311yescharacteristic, complemented
144C2×#214C22×C312yescomplemented
145#932—24no—
146C2×#213C22×C312yescomplemented
147C2×#208C22×C311yescharacteristic, complemented
148#908—24no—
149C2×D24C22×C312yescomplemented
150C2×#204C22×C312yescomplemented
151#897C22×C312yescomplemented
152#895C22×C312yescomplemented
153#886—21no—
154#882—21no—
155C4×D12—22no—
156C3×#102—24no—
157C3×#102—34no—
158C3×#102C2×D314yescomplemented
159C3×#102C22×C314yescomplemented
160C3×C22⋊C8—34no—
161(C2×D3)⋊C8C22×C314yescomplemented
162#809C22×C314yescomplemented
163C23×C32—24no—
164C23×C32—22no—
165C23×C32—44no—
166C23×C32C2×D411yescharacteristic
167C22×C3×D3—22no—
168C22×C3×D3—24no—
169C22×C3×D3—216no—
170C22×C3×D3—24no—
171C22×C3×D3—22no—
172C22×C3×D3—21no—
173C22×C3×D3—432no—
174C22×C3×D3—48no—
175C22×C3×D3—44no—
176C22×C3×D3—48no—
177C22×C3×D3C2×D412yes—
178C32×D4—24no—
179C32×D4—22no—
180C32×D4C2×D414yes—
181C2×C32×C4—22no—
182C2×C32×C4C2×D412yes—
183C2×C32×C4C2×D411yescharacteristic
184C2×C32×C4C2×D412yes—
185C2×C32×C4C2411yescharacteristic
186C3×#67—216no—
187C3×#67—42no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—21no—
190C2×C3×Dic3C2×D412yes—
191C3×D12—24no—
192C3×D12—22no—
193C3×D12—21no—
194C3×D12—21no—
195C3×D12—44no—
196C3×D12C2×D414yes—
197C3×C4×D3—24no—
198C3×C4×D3—22no—
199C3×C4×D3—22no—
200C3×C4×D3—42no—
201C3×Dic6—21no—
202C3×Dic6—21no—
203C32×C8—22no—
204C3×C3⋊C8—22no—
205C23×D4—31no—
206C2×AGL(1,ℤ/8)—31no—
207C2×AGL(1,ℤ/8)—31no—
208#525—31no—
209#450—34no—
210#447—34no—
211#418—31no—
212#418C3×D311yescharacteristic, complemented
213#407—31no—
214C24×C3—21no—
215C24×C3—21no—
216C24×C3—31no—
217C24×C3—41no—
218C24×C3—64no—
219C24×C3—68no—
220C24×C3—61no—
221C24×C3—128no—
222C23×D3—28no—
223C23×D3—21no—
224C23×D3—24no—
225C23×D3—48no—
226C23×D3C3×D411yescharacteristic
227C3×#41—62no—
228C3×#41—62no—
229C2×C3×Q8—31no—
230C2×C3×D4—21no—
231C2×C3×D4—22no—
232C2×C3×D4—21no—
233C2×C3×D4—22no—
234C2×C3×D4—24no—
235C2×C3×D4—22no—
236C2×C3×D4—34no—
237C2×C3×D4—32no—
238C2×C3×D4—31no—
239C2×C3×D4—41no—
240C2×C3×D4—42no—
241C2×C3×D4—62no—
242C2×C3×D4—64no—
243C2×C3×D4—68no—
244C2×C3×D4—616no—
245C2×C3×D4—68no—
246C2×C3×D4—68no—
247C2×C3×D4—61no—
248C2×C3×D4—62no—
249C2×C3×D4—61no—
250C2×C3×D4D1214yescomplemented
251C2×C3×D4C3×D414yescomplemented
252C2×C3×D4C22×D312yes—
253C2×C3×D4C23×C312yes—
254C22×C3×C4—21no—
255C22×C3×C4—31no—
256C22×C3×C4—32no—
257C22×C3×C4—32no—
258C22×C3×C4—62no—
259C22×C3×C4—62no—
260C22×C3×C4—61no—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C23×C311yescharacteristic
263C2×#67—28no—
264C2×#67—21no—
265C2×#67—24no—
266C22×Dic3C3×D411yescharacteristic
267D3×D4—216no—
268D3×D4—28no—
269D3×D4—28no—
270#235—22no—
271#235—22no—
272C2×D12—22no—
273C2×D12—21no—
274C2×D12—22no—
275C2×D12C3×D414yescomplemented
276C2×D12C23×C312yes—
277C2×D12C23×C311yescharacteristic, complemented
278C2×C4×D3—22no—
279C2×C4×D3—22no—
280C2×C4×D3—21no—
281C2×C4×D3C3×D412yes—
282C2×C4×D3C23×C312yes—
283C2×Dic6C23×C311yescharacteristic, complemented
284C3×SD16—64no—
285C3×SD16—64no—
286C3×D8—64no—
287C3×D8—64no—
288C3×M16—22no—
289C3×M16—22no—
290C3×M16—42no—
291C3×M16—62no—
292C2×C3×C8—22no—
293C2×C3×C8—32no—
294C2×C3×C8C22×D312yescomplemented
295C2×C3×C8C23×C312yescomplemented
296C3×C4⋊C4—22no—
297C3×C4⋊C4—62no—
298C3×C4⋊C4C22×D312yescomplemented
299C3×C4⋊C4C23×C312yescomplemented
300C3×C22⋊C4—21no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—41no—
303C3×C22⋊C4—62no—
304C3×C22⋊C4—62no—
305C3×C42—21no—
306C3×C42—21no—
307C3×C42—41no—
308#214—24no—
309#213—24no—
310(C2×D3)⋊C4—22no—
311(C2×D3)⋊C4—22no—
312C4⋊Dic3—22no—
313#208—22no—
314C2×C3⋊C8C23×C312yescomplemented
315D24—24no—
316#204—24no—
317C22×C32—22no—
318C22×C32—24no—
319C22×C32—48no—
320C22×C32—44no—
321C22×C32#12012yes—
322C22×C32C22×D411yescharacteristic
323C2×C3×D3—28no—
324C2×C3×D3—22no—
325C2×C3×D3—22no—
326C2×C3×D3—24no—
327C2×C3×D3—432no—
328C2×C3×D3—48no—
329C2×C3×D3—44no—
330C2×C3×D3—41no—
331C2×C3×D3—42no—
332C2×C3×D3AGL(1,ℤ/8)14yescomplemented
333C32×C4—42no—
334C32×C4#12012yes—
335C32×C4C22×D411yescharacteristic
336C32×C4C22×D411yescharacteristic
337C3×Dic3—22no—
338C3×Dic3—41no—
339C25—61no—
340C2×#41—31no—
341C22×D4—34no—
342C22×D4—31no—
343C22×D4—62no—
344C22×D4—61no—
345C22×D4—64no—
346C22×D4—64no—
347C22×D4C2×C3×D311yescharacteristic
348C23×C4—31no—
349AGL(1,ℤ/8)—64no—
350AGL(1,ℤ/8)—64no—
351C2×SD16—32no—
352C2×SD16—32no—
353C2×D8—32no—
354C2×D8—32no—
355C2×M16—31no—
356C2×M16C2×C3×D311yescharacteristic, complemented
357#123—61no—
358C22⋊Q8—32no—
359#121—32no—
360#120—61no—
361C4×D4—62no—
362#117C2×C3×D311yescharacteristic, complemented
363#102—34no—
364#102C2×C3×D314yescomplemented
365C22⋊C8—34no—
366C23×C3—24no—
367C23×C3—24no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—21no—
371C23×C3—32no—
372C23×C3—44no—
373C23×C3—42no—
374C23×C3—44no—
375C23×C3—44no—
376C23×C3—64no—
377C23×C3—616no—
378C23×C3—62no—
379C23×C3—64no—
380C23×C3—62no—
381C23×C3—61no—
382C23×C3—84no—
383C23×C3—124no—
384C23×C3—128no—
385C23×C3—1232no—
386C23×C3—128no—
387C23×C3D3×D411yescharacteristic
388C23×C3C2×C3×D411yescharacteristic
389C22×D3—22no—
390C22×D3—24no—
391C22×D3—216no—
392C22×D3—24no—
393C22×D3—22no—
394C22×D3—21no—
395C22×D3—432no—
396C22×D3—48no—
397C22×D3—44no—
398C22×D3—48no—
399C22×D3C2×C3×D412yes—
400C3×Q8—61no—
401C3×Q8—61no—
402C3×D4—24no—
403C3×D4—24no—
404C3×D4—22no—
405C3×D4—22no—
406C3×D4—24no—
407C3×D4—34no—
408C3×D4—44no—
409C3×D4—42no—
410C3×D4—616no—
411C3×D4—64no—
412C3×D4—62no—
413C3×D4—61no—
414C3×D4—61no—
415C3×D4—124no—
416C3×D4—122no—
417C3×D4C2×D1214yes—
418C3×D4C2×C3×D414yes—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—22no—
425C2×C3×C4—32no—
426C2×C3×C4—42no—
427C2×C3×C4—62no—
428C2×C3×C4—64no—
429C2×C3×C4—62no—
430C2×C3×C4—62no—
431C2×C3×C4—61no—
432C2×C3×C4—122no—
433C2×C3×C4C2×D1212yes—
434C2×C3×C4D3×D411yescharacteristic
435C2×C3×C4D3×D412yes—
436C2×C3×C4C2×C3×D412yes—
437C2×C3×C4C2×C3×D411yescharacteristic
438C2×C3×C4C2×C3×D412yes—
439C2×C3×C4C23×D311yescharacteristic
440C2×C3×C4C24×C311yescharacteristic
441#67—216no—
442#67—42no—
443C2×Dic3—22no—
444C2×Dic3—21no—
445C2×Dic3C2×C3×D412yes—
446D12—24no—
447D12—22no—
448D12—21no—
449D12—21no—
450D12—44no—
451D12C2×C3×D414yes—
452C4×D3—24no—
453C4×D3—22no—
454C4×D3—22no—
455C4×D3—42no—
456Dic6—21no—
457Dic6—21no—
458C3×C8—22no—
459C3×C8—22no—
460C3×C8—42no—
461C3×C8—62no—
462C3⋊C8—22no—
463C2×C32—22no—
464C2×C32—44no—
465C2×C32C2×#12011yescharacteristic
466C2×C32C2×AGL(1,ℤ/8)12yes—
467C3×D3—24no—
468C3×D3—44no—
469C3×D3—81no—
470C24—21no—
471C24—31no—
472C24—64no—
473C24—68no—
474C24—61no—
475C24—128no—
476#41—62no—
477#41—62no—
478C2×Q8—31no—
479C2×D4—21no—
480C2×D4—22no—
481C2×D4—32no—
482C2×D4—31no—
483C2×D4—34no—
484C2×D4—62no—
485C2×D4—64no—
486C2×D4—68no—
487C2×D4—616no—
488C2×D4—68no—
489C2×D4—68no—
490C2×D4—61no—
491C2×D4—62no—
492C2×D4—61no—
493C2×D4C3×D1214yescomplemented
494C2×D4C22×C3×D312yes—
495C22×C4—31no—
496C22×C4—32no—
497C22×C4—32no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—61no—
501C22×C4C22×C3×D311yescharacteristic
502SD16—64no—
503SD16—64no—
504D8—64no—
505D8—64no—
506M16—22no—
507M16—62no—
508C2×C8—32no—
509C2×C8C22×C3×D312yescomplemented
510C4⋊C4—62no—
511C4⋊C4C22×C3×D312yescomplemented
512C22⋊C4—21no—
513C22⋊C4—62no—
514C22⋊C4—62no—
515C42—21no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—24no—
519C22×C3—24no—
520C22×C3—22no—
521C22×C3—21no—
522C22×C3—34no—
523C22×C3—42no—
524C22×C3—44no—
525C22×C3—48no—
526C22×C3—48no—
527C22×C3—44no—
528C22×C3—44no—
529C22×C3—68no—
530C22×C3—62no—
531C22×C3—62no—
532C22×C3—64no—
533C22×C3—84no—
534C22×C3—88no—
535C22×C3—128no—
536C22×C3—1232no—
537C22×C3—124no—
538C22×C3—121no—
539C22×C3—122no—
540C22×C3#88212yes—
541C22×C3C3×#12012yes—
542C22×C3C2×D3×D411yescharacteristic
543C22×C3C22×C3×D411yescharacteristic
544C2×D3—28no—
545C2×D3—22no—
546C2×D3—22no—
547C2×D3—24no—
548C2×D3—432no—
549C2×D3—48no—
550C2×D3—44no—
551C2×D3—42no—
552C2×D3—41no—
553C2×D3C3×AGL(1,ℤ/8)14yescomplemented
554C3×C4—22no—
555C3×C4—21no—
556C3×C4—21no—
557C3×C4—42no—
558C3×C4—42no—
559C3×C4—62no—
560C3×C4—82no—
561C3×C4—121no—
562C3×C4#88212yes—
563C3×C4C3×#12012yes—
564C3×C4C22×D1211yescharacteristic
565C3×C4C2×D3×D411yescharacteristic
566C3×C4C22×C3×D411yescharacteristic
567C3×C4C22×C3×D411yescharacteristic
568Dic3—22no—
569Dic3—41no—
570C32#300311yescharacteristic, complemented, Sylow
571C23—24no—
572C23—22no—
573C23—32no—
574C23—44no—
575C23—64no—
576C23—616no—
577C23—62no—
578C23—64no—
579C23—62no—
580C23—61no—
581C23—124no—
582C23—128no—
583C23—1232no—
584C23—128no—
585C23C3×D3×D411yescharacteristic
586Q8—61no—
587Q8—61no—
588D4—24no—
589D4—22no—
590D4—34no—
591D4—616no—
592D4—64no—
593D4—62no—
594D4—61no—
595D4—61no—
596D4—124no—
597D4—122no—
598D4C2×C3×D1214yes—
599C2×C4—22no—
600C2×C4—32no—
601C2×C4—62no—
602C2×C4—64no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—61no—
606C2×C4—122no—
607C2×C4C2×C3×D1212yes—
608C2×C4C3×D3×D411yescharacteristic
609C2×C4C3×D3×D412yes—
610C2×C4C23×C3×D311yescharacteristic
611C8—22no—
612C8—62no—
613C2×C3—22no—
614C2×C3—22no—
615C2×C3—21no—
616C2×C3—22no—
617C2×C3—42no—
618C2×C3—44no—
619C2×C3—44no—
620C2×C3—64no—
621C2×C3—84no—
622C2×C3—124no—
623C2×C3—241no—
624C2×C3C2×#88211yescharacteristic
625C2×C3D3×AGL(1,ℤ/8)12yes—
626C2×C3C2×C3×#12011yescharacteristic
627C2×C3C2×C3×AGL(1,ℤ/8)12yes—
628D3—24no—
629D3—44no—
630D3—81no—
631C22—22no—
632C22—24no—
633C22—34no—
634C22—48no—
635C22—44no—
636C22—68no—
637C22—62no—
638C22—62no—
639C22—64no—
640C22—128no—
641C22—1232no—
642C22—124no—
643C22—121no—
644C22—122no—
645C22C3×#88212yes—
646C22C2×C3×D3×D411yescharacteristic
647C4—42no—
648C4—62no—
649C4—121no—
650C4C3×#88212yes—
651C4C22×C3×D1211yescharacteristic
652C4C2×C3×D3×D411yescharacteristic
653C3—21no—
654C3#7892611yescharacteristic, direct product factor
655C3C3×#300311yescharacteristic, complemented
656C2—22no—
657C2—44no—
658C2—64no—
659C2—124no—
660C2—241no—
661C2C2×C3×#88211yescharacteristic
662C2C3×D3×AGL(1,ℤ/8)12yes—
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#418C2
socleC22×C32C22×D4
hypercenterC3×#418D3
hypocenterC3C3×#3003
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#418

Complements

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

NH ≅ G/Ntype
1. C22×C3×D3×D4C2semidirect
2. C2×C3×#932C2semidirect
3. C2×C3×#908C2semidirect
4. C3×#5524C2semidirect
5. C32×#418C2semidirect
6. C3×#5126C2semidirect
7. C3×#5001C2semidirect
8. C3×#4776C2semidirect
9. C3×#4773C2semidirect
11. #78926C3direct (N × H)
19. C2×C3×#235C22semidirect
22. C2×C32×M16C22semidirect
23. C32×#117C22semidirect
24. C2×C3×#214C22semidirect
26. C2×C3×#213C22semidirect
27. C2×C3×#208C22semidirect
29. C2×C3×D24C22semidirect
30. C2×C3×#204C22semidirect
31. C3×#897C22semidirect
32. C3×#895C22semidirect
36. C32×#102C22semidirect
37. C3×(C2×D3)⋊C8C22semidirect
38. C3×#809C22semidirect
40. C22×D3×D4C2×C3semidirect
44. C2×#932C2×C3semidirect
45. C2×#908C2×C3semidirect
46. #5524C2×C3semidirect
51. C3×#418D3semidirect
52. C3×#418C2×C3semidirect
54. #5126C2×C3semidirect
55. #5001C2×C3semidirect
56. #4776C2×C3semidirect
57. #4773C2×C3semidirect
66. C2×C32×D4D4semidirect
81. C2×C3×D12D4semidirect
83. C2×C3×D12C23semidirect
89. C2×C3×Dic6C23semidirect
91. C2×C32×C8C23semidirect
92. C32×C4⋊C4C23semidirect
101. C2×C3×C3⋊C8C23semidirect
123. C2×#235C22×C3semidirect
134. C2×C3×M16C2×D3semidirect
135. C2×C3×M16C22×C3semidirect
142. C3×#117C2×D3semidirect
143. C3×#117C22×C3semidirect
144. C2×#214C22×C3semidirect
146. C2×#213C22×C3semidirect
147. C2×#208C22×C3semidirect
149. C2×D24C22×C3semidirect
150. C2×#204C22×C3semidirect
151. #897C22×C3semidirect
152. #895C22×C3semidirect
158. C3×#102C2×D3semidirect
159. C3×#102C22×C3semidirect
161. (C2×D3)⋊C8C22×C3semidirect
162. #809C22×C3semidirect
212. #418C3×D3semidirect
250. C2×C3×D4D12semidirect
251. C2×C3×D4C3×D4semidirect
275. C2×D12C3×D4semidirect
277. C2×D12C23×C3semidirect
283. C2×Dic6C23×C3semidirect
294. C2×C3×C8C22×D3semidirect
295. C2×C3×C8C23×C3semidirect
298. C3×C4⋊C4C22×D3semidirect
299. C3×C4⋊C4C23×C3semidirect
314. C2×C3⋊C8C23×C3semidirect
332. C2×C3×D3AGL(1,ℤ/8)semidirect
356. C2×M16C2×C3×D3semidirect
362. #117C2×C3×D3semidirect
364. #102C2×C3×D3semidirect
493. C2×D4C3×D12semidirect
509. C2×C8C22×C3×D3semidirect
511. C4⋊C4C22×C3×D3semidirect
553. C2×D3C3×AGL(1,ℤ/8)semidirect
570. C32#3003semidirect
654. C3#78926direct (N × H)
655. C3C3×#3003semidirect

Maximal subgroups

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

subgroupindex
C22×C3×D3×D42
C2×C3×#9322
C2×C3×#9082
C3×#55242
C32×#4182
C3×#51262
C3×#50012
C3×#47762
C3×#47732
C3×#30033
#789263