Finite Group Databasebeta

← C3×#80138 #11878825

Subgroups — C3×#80138 #11878825

Order 1152.

1070 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×#940C211yesmaximal, characteristic
2C3×#5622C211yesmaximal, characteristic, complemented
3C32×#450C211yesmaximal, characteristic, complemented
4C3×#5218C211yesmaximal, characteristic, complemented
5C3×#5175C212yesmaximal, complemented
6C3×#5163C212yesmaximal, complemented
7C3×#5046C211yesmaximal, characteristic, complemented
8C3×#4762C212yesmaximal, complemented
9C3×#4760C212yesmaximal, complemented
10C3×#4731C211yesmaximal, characteristic, complemented
11C3×#4718C211yesmaximal, characteristic, complemented
12C3×#3208—31nomaximal
13#80138C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C22×C3×#67—21no—
16C22×C3×#67—21no—
17C22×C3×D12C2211yescharacteristic
18C2×C32×SD16C2212yescomplemented
19C32×C22⋊Q8C2211yescharacteristic
20C3×Q8×Dic3C2211yescharacteristic, complemented
21C3×#944C2211yescharacteristic, complemented
22C2×C3×#215C2212yescomplemented
23C3×#940—21no—
24C3×#940—21no—
25C3×#940C2212yes—
26C3×#940C2212yes—
27C2×C3×#214C2212yescomplemented
28C3×#924C2211yescharacteristic
29C2×C3×C4×Dic3C2211yescharacteristic
30C2×C3×#204C2212yescomplemented
31C3×#889—21no—
32C3×#888C2211yescharacteristic, complemented
33C3×#887—21no—
34C3×#887C2211yescharacteristic, complemented
35C3×#878—21no—
36C3×#877—21no—
37C32×#102C2212yescomplemented
38C32×C22⋊C8C2211yescharacteristic
39C3×#832C2212yescomplemented
40C3×#830C2211yescharacteristic
41C3×#821C2212yescomplemented
42C3×Dic3⋊C8C2212yescomplemented
43C3×C8×Dic3C2212yescomplemented
44C3×#809C2212yescomplemented
45C3×#533—31no—
46C2×C3×#127—31no—
47C2×#940C2×C311yescharacteristic
48#5622C2×C311yescharacteristic, complemented
49C3×#492—32no—
50C3×#486—32no—
51C3×#460—32no—
52C3×#460—32no—
53C3×#450—21no—
54C3×#450—31no—
55C3×#450—31no—
56C3×#450—31no—
57C3×#450D311yescharacteristic, complemented
58C3×#450C2×C311yescharacteristic, complemented
59C3×#431—31no—
60#5218C2×C311yescharacteristic, complemented
61#5175C2×C312yescomplemented
62#5163C2×C312yescomplemented
63#5046C2×C311yescharacteristic, complemented
64#4762C2×C312yescomplemented
65#4760C2×C312yescomplemented
66#4731C2×C311yescharacteristic, complemented
67#4718C2×C311yescharacteristic, complemented
68C24×C32—21no—
69C23×C3×D3—21no—
70C2×C32×Q8C2311yescharacteristic
71C2×C32×D4—21no—
72C2×C32×D4—42no—
73C2×C32×D4C2312yes—
74C22×C32×C4C2311yescharacteristic
75C2×C3×#67—22no—
76C2×C3×#67—22no—
77C2×C3×#67—22no—
78C2×C3×#67—22no—
79C2×C3×#67—44no—
80C2×C3×#67—44no—
81C22×C3×Dic3D411yescharacteristic
82C22×C3×Dic3D411yescharacteristic
83C2×C3×D12—21no—
84C2×C3×D12—42no—
85C2×C3×D12C2312yes—
86C2×C3×Dic6—21no—
87C2×C3×Dic6C2311yescharacteristic
88C32×SD16—42no—
89C2×C32×C8C2312yes—
90C32×C4⋊C4—21no—
91C32×C4⋊C4C2311yescharacteristic
92C32×C22⋊C4—21no—
93C3×#217—21no—
94C3×#215—42no—
95C3×#214—42no—
96C3×C4⋊Dic3—21no—
97C3×C4⋊Dic3C2311yescharacteristic
98C3×Dic3⋊C4—21no—
99C3×Dic3⋊C4—21no—
100C3×Dic3⋊C4—21no—
101C3×Dic3⋊C4—21no—
102C3×Dic3⋊C4—21no—
103C3×C4×Dic3—21no—
104C3×C4×Dic3—21no—
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3C2311yescharacteristic
108C3×C4×Dic3C2311yescharacteristic
109C2×C3×C3⋊C8C2312yes—
110C3×#204—42no—
111#3208—31noSylow
112C22×C3×D4—21no—
113C22×C3×D4—31no—
114C22×C3×D4—61no—
115C22×C3×D4—61no—
116C22×C3×D4C2×D311yescharacteristic
117C22×C3×D4C22×C311yescharacteristic
118C22×#67—21no—
119C22×#67—21no—
120C22×D12C22×C311yescharacteristic
121C2×C3×SD16—22no—
122C2×C3×SD16—32no—
123C2×C3×SD16—32no—
124C2×C3×SD16—32no—
125C2×C3×SD16C2×D312yescomplemented
126C2×C3×SD16C22×C312yescomplemented
127C3×C4⋊Q8—31no—
128C3×C4⋊Q8—31no—
129C3×#127—32no—
130C3×#127—32no—
131C3×#127—61no—
132C3×#127—61no—
133C3×#125—61no—
134C3×C22⋊Q8—21no—
135C3×C22⋊Q8—31no—
136C3×C22⋊Q8—61no—
137C3×C22⋊Q8C2×D311yescharacteristic
138C3×C22⋊Q8C22×C311yescharacteristic
139C3×C4×Q8—31no—
140C3×C4×Q8—31no—
141C3×C4×Q8—61no—
142C3×#117—61no—
143C2×C3×C42—31no—
144Q8×Dic3C22×C311yescharacteristic, complemented
145#944C22×C311yescharacteristic, complemented
146C2×#215C22×C312yescomplemented
147#940—21no—
148#940—21no—
149#940C22×C312yes—
150#940C22×C312yes—
151C2×#214C22×C312yescomplemented
152#924C22×C311yescharacteristic
153C2×C4×Dic3C22×C311yescharacteristic
154C2×#204C22×C312yescomplemented
155#889—21no—
156#888C22×C311yescharacteristic, complemented
157#887—21no—
158#887C22×C311yescharacteristic, complemented
159#878—21no—
160#877—21no—
161C3×C4⋊C8—32no—
162C3×#102—22no—
163C3×#102—32no—
164C3×#102—32no—
165C3×#102—32no—
166C3×#102C2×D312yescomplemented
167C3×#102C22×C312yescomplemented
168C3×C22⋊C8—21no—
169C3×C22⋊C8—31no—
170C3×C22⋊C8C2×D311yescharacteristic
171C3×C22⋊C8C22×C311yescharacteristic
172C3×C4×C8—32no—
173#832C22×C312yescomplemented
174#830C22×C311yescharacteristic
175#821C22×C312yescomplemented
176Dic3⋊C8C22×C312yescomplemented
177C8×Dic3C22×C312yescomplemented
178#809C22×C312yescomplemented
179C23×C32—22no—
180C23×C32—42no—
181C23×C32—42no—
182C23×C32—42no—
183C23×C32C2×D411yescharacteristic
184C22×C3×D3—22no—
185C22×C3×D3—42no—
186C22×C3×D3—42no—
187C22×C3×D3—42no—
188C32×Q8—22no—
189C32×D4—22no—
190C32×D4—22no—
191C32×D4—42no—
192C2×C32×C4—22no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4C2411yescharacteristic
197C3×#67—44no—
198C3×#67—44no—
199C3×#67—44no—
200C3×#67—44no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3SD1614yescomplemented
205C2×C3×Dic3C2×D411yescharacteristic
206C2×C3×Dic3C2×D411yescharacteristic
207C2×C3×Dic3C2×D411yescharacteristic
208C2×C3×Dic3C2×D411yescharacteristic
209C3×D12—22no—
210C3×D12—22no—
211C3×D12—42no—
212C3×Dic6—22no—
213C3×Dic6—42no—
214C32×C8—22no—
215C3×C3⋊C8—22no—
216#533—31no—
217C2×#127—31no—
218#492—32no—
219#486—32no—
220#460—32no—
221#460—32no—
222#450—31no—
223#450—31no—
224#450—31no—
225#450C3×D311yescharacteristic, complemented
226#431—31no—
227C24×C3—21no—
228C24×C3—21no—
229C24×C3—41no—
230C24×C3—61no—
231C23×D3—21no—
232C2×C3×Q8—21no—
233C2×C3×Q8—31no—
234C2×C3×Q8—61no—
235C2×C3×Q8C22×D311yescharacteristic
236C2×C3×Q8C23×C311yescharacteristic
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—22no—
240C2×C3×D4—32no—
241C2×C3×D4—41no—
242C2×C3×D4—42no—
243C2×C3×D4—42no—
244C2×C3×D4—44no—
245C2×C3×D4—62no—
246C2×C3×D4—62no—
247C2×C3×D4—62no—
248C2×C3×D4—62no—
249C2×C3×D4—61no—
250C2×C3×D4—122no—
251C2×C3×D4—124no—
252C2×C3×D4—124no—
253C2×C3×D4C22×D312yes—
254C2×C3×D4C23×C312yes—
255C22×C3×C4—21no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C23×C311yescharacteristic
260C2×#67—22no—
261C2×#67—22no—
262C2×#67—22no—
263C2×#67—22no—
264C2×#67—44no—
265C2×#67—44no—
266C22×Dic3C3×D411yescharacteristic
267C22×Dic3C3×D411yescharacteristic
268C2×D12—21no—
269C2×D12—42no—
270C2×D12C23×C312yes—
271C2×Dic6—21no—
272C2×Dic6C23×C311yescharacteristic
273C3×SD16—42no—
274C3×SD16—42no—
275C3×SD16—44no—
276C3×SD16—122no—
277C3×SD16—122no—
278C3×SD16—122no—
279C2×C3×C8—22no—
280C2×C3×C8—32no—
281C2×C3×C8C22×D312yes—
282C2×C3×C8C23×C312yes—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—21no—
286C3×C4⋊C4—31no—
287C3×C4⋊C4—41no—
288C3×C4⋊C4—61no—
289C3×C4⋊C4—61no—
290C3×C4⋊C4—61no—
291C3×C4⋊C4—61no—
292C3×C4⋊C4—61no—
293C3×C4⋊C4—61no—
294C3×C4⋊C4C22×D311yescharacteristic
295C3×C4⋊C4C23×C311yescharacteristic
296C3×C22⋊C4—21no—
297C3×C22⋊C4—21no—
298C3×C22⋊C4—41no—
299C3×C22⋊C4—61no—
300C3×C42—31no—
301C3×C42—31no—
302C3×C42—31no—
303C3×C42—31no—
304C3×C42—61no—
305C3×C42—61no—
306#217—21no—
307#215—42no—
308#214—42no—
309C4⋊Dic3—21no—
310C4⋊Dic3C23×C311yescharacteristic
311Dic3⋊C4—21no—
312Dic3⋊C4—21no—
313Dic3⋊C4—21no—
314Dic3⋊C4—21no—
315Dic3⋊C4—21no—
316C4×Dic3—21no—
317C4×Dic3—21no—
318C4×Dic3C3×D411yescharacteristic
319C4×Dic3C3×D411yescharacteristic
320C4×Dic3C23×C311yescharacteristic
321C4×Dic3C23×C311yescharacteristic
322C2×C3⋊C8C23×C312yes—
323#204—42no—
324C22×C32—21no—
325C22×C32—21no—
326C22×C32—42no—
327C22×C32—42no—
328C22×C32—42no—
329C22×C32—84no—
330C22×C32C2×SD1612yes—
331C22×C32C22×D411yescharacteristic
332C2×C3×D3—42no—
333C2×C3×D3—42no—
334C2×C3×D3—42no—
335C2×C3×D3—84no—
336C32×C4—21no—
337C32×C4—41no—
338C32×C4—41no—
339C32×C4H(5,𝔽2)12yes—
340C3×Dic3—21no—
341C3×Dic3—41no—
342C3×Dic3—41no—
343C3×Dic3C2×SD1612yes—
344C3×Dic3C2×SD1612yes—
345C3×Dic3AGL(1,ℤ/8)12yes—
346C22×D4—31no—
347C22×D4—61no—
348C22×D4—61no—
349C22×D4C2×C3×D311yescharacteristic
350C2×SD16—32no—
351C2×SD16—32no—
352C2×SD16—32no—
353C2×SD16C2×C3×D312yescomplemented
354C4⋊Q8—31no—
355C4⋊Q8—31no—
356#127—32no—
357#127—32no—
358#127—61no—
359#127—61no—
360#125—61no—
361C22⋊Q8—31no—
362C22⋊Q8—61no—
363C22⋊Q8C2×C3×D311yescharacteristic
364C4×Q8—31no—
365C4×Q8—31no—
366C4×Q8—61no—
367#117—61no—
368C2×C42—31no—
369C4⋊C8—32no—
370#102—32no—
371#102—32no—
372#102—32no—
373#102C2×C3×D312yescomplemented
374C22⋊C8—31no—
375C22⋊C8C2×C3×D311yescharacteristic
376C4×C8—32no—
377C23×C3—22no—
378C23×C3—22no—
379C23×C3—21no—
380C23×C3—42no—
381C23×C3—42no—
382C23×C3—42no—
383C23×C3—42no—
384C23×C3—42no—
385C23×C3—44no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3—62no—
389C23×C3—82no—
390C23×C3—82no—
391C23×C3—122no—
392C23×C3—122no—
393C23×C3—122no—
394C23×C3D3×D411yescharacteristic
395C23×C3C2×C3×D411yescharacteristic
396C22×D3—22no—
397C22×D3—42no—
398C22×D3—42no—
399C22×D3—42no—
400C3×Q8—22no—
401C3×Q8—22no—
402C3×Q8—42no—
403C3×Q8—62no—
404C3×Q8—122no—
405C3×D4—24no—
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—22no—
410C3×D4—42no—
411C3×D4—42no—
412C3×D4—42no—
413C3×D4—44no—
414C3×D4—62no—
415C3×D4—62no—
416C3×D4—122no—
417C3×D4—124no—
418C3×D4—124no—
419C3×D4—124no—
420C3×D4—124no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—34no—
430C2×C3×C4—31no—
431C2×C3×C4—31no—
432C2×C3×C4—31no—
433C2×C3×C4—31no—
434C2×C3×C4—42no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—62no—
438C2×C3×C4—61no—
439C2×C3×C4—61no—
440C2×C3×C4D3×D411yescharacteristic
441C2×C3×C4C2×C3×D411yescharacteristic
442C2×C3×C4C23×D311yescharacteristic
443C2×C3×C4C24×C311yescharacteristic
444#67—44no—
445#67—44no—
446#67—44no—
447#67—44no—
448C2×Dic3—22no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3C3×SD1614yescomplemented
452C2×Dic3C2×C3×D411yescharacteristic
453C2×Dic3C2×C3×D411yescharacteristic
454C2×Dic3C2×C3×D411yescharacteristic
455C2×Dic3C2×C3×D411yescharacteristic
456D12—22no—
457D12—22no—
458D12—42no—
459Dic6—22no—
460Dic6—42no—
461C3×C8—22no—
462C3×C8—22no—
463C3×C8—42no—
464C3×C8—62no—
465C3⋊C8—22no—
466C2×C32—22no—
467C2×C32—82no—
468C2×C32#53511yescharacteristic
469C2×C32C22×SD1611yescharacteristic
470C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
471C3×D3—82no—
472C24—21no—
473C24—61no—
474C2×Q8—31no—
475C2×Q8—61no—
476C2×Q8C22×C3×D311yescharacteristic
477C2×D4—21no—
478C2×D4—32no—
479C2×D4—42no—
480C2×D4—62no—
481C2×D4—62no—
482C2×D4—62no—
483C2×D4—62no—
484C2×D4—61no—
485C2×D4—122no—
486C2×D4—124no—
487C2×D4—124no—
488C2×D4C22×C3×D312yes—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4C22×C3×D311yescharacteristic
492SD16—42no—
493SD16—122no—
494SD16—122no—
495SD16—122no—
496C2×C8—32no—
497C2×C8C22×C3×D312yes—
498C4⋊C4—21no—
499C4⋊C4—31no—
500C4⋊C4—61no—
501C4⋊C4—61no—
502C4⋊C4—61no—
503C4⋊C4—61no—
504C4⋊C4—61no—
505C4⋊C4—61no—
506C4⋊C4C22×C3×D311yescharacteristic
507C22⋊C4—21no—
508C22⋊C4—61no—
509C42—31no—
510C42—31no—
511C42—31no—
512C42—31no—
513C42—61no—
514C42—61no—
515C22×C3—21no—
516C22×C3—21no—
517C22×C3—21no—
518C22×C3—21no—
519C22×C3—22no—
520C22×C3—21no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—44no—
524C22×C3—42no—
525C22×C3—42no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—42no—
530C22×C3—82no—
531C22×C3—82no—
532C22×C3—84no—
533C22×C3—84no—
534C22×C3—88no—
535C22×C3—122no—
536C22×C3—122no—
537C22×C3—122no—
538C22×C3—244no—
539C22×C3D3×SD1612yes—
540C22×C3C2×C3×SD1612yes—
541C22×C3C2×D3×D411yescharacteristic
542C22×C3C22×C3×D411yescharacteristic
543C2×D3—42no—
544C2×D3—42no—
545C2×D3—42no—
546C2×D3—84no—
547C3×C4—21no—
548C3×C4—21no—
549C3×C4—22no—
550C3×C4—32no—
551C3×C4—32no—
552C3×C4—32no—
553C3×C4—41no—
554C3×C4—41no—
555C3×C4—41no—
556C3×C4—41no—
557C3×C4—41no—
558C3×C4—61no—
559C3×C4—81no—
560C3×C4—81no—
561C3×C4—121no—
562C3×C4—121no—
563C3×C4#100412yes—
564C3×C4C3×H(5,𝔽2)12yes—
565Dic3—21no—
566Dic3—41no—
567Dic3—41no—
568Dic3C2×C3×SD1612yes—
569Dic3C2×C3×SD1612yes—
570Dic3C3×AGL(1,ℤ/8)12yes—
571C32#320811yescharacteristic, complemented, Sylow
572C23—22no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—62no—
577C23—122no—
578C23—122no—
579C23—122no—
580C23C3×D3×D411yescharacteristic
581Q8—22no—
582Q8—62no—
583Q8—122no—
584D4—22no—
585D4—22no—
586D4—42no—
587D4—62no—
588D4—62no—
589D4—122no—
590D4—124no—
591D4—124no—
592D4—124no—
593D4—124no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—34no—
598C2×C4—31no—
599C2×C4—31no—
600C2×C4—31no—
601C2×C4—31no—
602C2×C4—62no—
603C2×C4—61no—
604C2×C4—61no—
605C2×C4C3×D3×D411yescharacteristic
606C2×C4C23×C3×D311yescharacteristic
607C8—22no—
608C8—62no—
609C2×C3—22no—
610C2×C3—22no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—42no—
615C2×C3—84no—
616C2×C3—82no—
617C2×C3—82no—
618C2×C3—242no—
619C2×C3#559211yescharacteristic
620C2×C3C2×D3×SD1611yescharacteristic
621C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
622C2×C3C3×#53511yescharacteristic
623C2×C3C22×C3×SD1611yescharacteristic
624C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
625D3—82no—
626C22—21no—
627C22—21no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—84no—
632C22—122no—
633C22—122no—
634C22—122no—
635C22—244no—
636C22C3×D3×SD1612yes—
637C22C2×C3×D3×D411yescharacteristic
638C4—21no—
639C4—32no—
640C4—32no—
641C4—32no—
642C4—41no—
643C4—41no—
644C4—61no—
645C4—121no—
646C4—121no—
647C4C3×#100412yes—
648C3—21no—
649C3#8013811yescharacteristic, direct product factor
650C3C3×#320811yescharacteristic, complemented
651C2—22no—
652C2—82no—
653C2—242no—
654C2C3×#559211yescharacteristic
655C2C2×C3×D3×SD1611yescharacteristic
656C2C3×D3×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#450C2
socleC22×C32C22×D4
prime radicalC2×C3×#940C2
hypercenterC3×#450D3
hypocenterC3C3×#3208
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#450

Complements

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

NH ≅ G/Ntype
2. C3×#5622C2semidirect
3. C32×#450C2semidirect
4. C3×#5218C2semidirect
5. C3×#5175C2semidirect
6. C3×#5163C2semidirect
7. C3×#5046C2semidirect
8. C3×#4762C2semidirect
9. C3×#4760C2semidirect
10. C3×#4731C2semidirect
11. C3×#4718C2semidirect
13. #80138C3direct (N × H)
18. C2×C32×SD16C22semidirect
20. C3×Q8×Dic3C22semidirect
21. C3×#944C22semidirect
22. C2×C3×#215C22semidirect
27. C2×C3×#214C22semidirect
30. C2×C3×#204C22semidirect
32. C3×#888C22semidirect
34. C3×#887C22semidirect
37. C32×#102C22semidirect
39. C3×#832C22semidirect
41. C3×#821C22semidirect
42. C3×Dic3⋊C8C22semidirect
43. C3×C8×Dic3C22semidirect
44. C3×#809C22semidirect
48. #5622C2×C3semidirect
57. C3×#450D3semidirect
58. C3×#450C2×C3semidirect
60. #5218C2×C3semidirect
61. #5175C2×C3semidirect
62. #5163C2×C3semidirect
63. #5046C2×C3semidirect
64. #4762C2×C3semidirect
65. #4760C2×C3semidirect
66. #4731C2×C3semidirect
67. #4718C2×C3semidirect
125. C2×C3×SD16C2×D3semidirect
126. C2×C3×SD16C22×C3semidirect
144. Q8×Dic3C22×C3semidirect
145. #944C22×C3semidirect
146. C2×#215C22×C3semidirect
151. C2×#214C22×C3semidirect
154. C2×#204C22×C3semidirect
156. #888C22×C3semidirect
158. #887C22×C3semidirect
166. C3×#102C2×D3semidirect
167. C3×#102C22×C3semidirect
173. #832C22×C3semidirect
175. #821C22×C3semidirect
176. Dic3⋊C8C22×C3semidirect
177. C8×Dic3C22×C3semidirect
178. #809C22×C3semidirect
204. C2×C3×Dic3SD16semidirect
225. #450C3×D3semidirect
353. C2×SD16C2×C3×D3semidirect
373. #102C2×C3×D3semidirect
451. C2×Dic3C3×SD16semidirect
571. C32#3208semidirect
649. C3#80138direct (N × H)
650. C3C3×#3208semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9402
C3×#56222
C32×#4502
C3×#52182
C3×#51752
C3×#51632
C3×#50462
C3×#47622
C3×#47602
C3×#47312
C3×#47182
C3×#32083
#801383