Finite Group Databasebeta

← C3×#14763 #10633370

Subgroups — C3×#14763 #10633370

Order 768.

1982 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C22⋊Q8C211yesmaximal, characteristic
2C2×C3×#395C211yesmaximal, characteristic, complemented
3C2×C3×#389C212yesmaximal, complemented
4C2×C3×#385C211yesmaximal, characteristic
5C2×C3×C4×C22⋊C4C211yesmaximal, characteristic
6C3×#1446C211yesmaximal, characteristic, complemented
7C3×#1444C211yesmaximal, characteristic, complemented
8C3×#1441C211yesmaximal, characteristic, complemented
9C3×#1439C212yesmaximal
10C3×#1439C212yesmaximal
11C3×#1436C212yesmaximal, complemented
12#14763C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×Q8C2211yescharacteristic
14C24×C3×C4C2211yescharacteristic
15C2×C3×C22⋊Q8—24no—
16C2×C3×C22⋊Q8—28no—
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C4⋊C4C2211yescharacteristic
20C22×C3×C4⋊C4C2212yes—
21C22×C3×C4⋊C4C2212yes—
22C22×C3×C4⋊C4C2212yes—
23C22×C3×C22⋊C4C2212yes—
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×C3×C22⋊C4C2212yes—
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×C3×C42C2212yes—
28C3×#395—24no—
29C3×#389—28no—
30C3×#385—24no—
31C3×C4×C22⋊C4—24no—
32C2×C3×#95C2212yes—
33C2×C3×#95C2211yescharacteristic
34C2×C3×#95C2211yescharacteristic
35C2×C3×#95C2211yescharacteristic
36C2×C3×#95C2212yes—
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×C3×#95C2212yes—
40C2×C3×#95C2212yes—
41C2×C3×#95C2211yescharacteristic
42C22×C22⋊Q8C2×C311yescharacteristic
43C2×#395C2×C311yescharacteristic, complemented
44C2×#389C2×C312yescomplemented
45C2×#385C2×C311yescharacteristic
46C2×C4×C22⋊C4C2×C311yescharacteristic
47#1446C2×C311yescharacteristic, complemented
48#1444C2×C311yescharacteristic, complemented
49#1441C2×C311yescharacteristic, complemented
50#1439C2×C312yes—
51#1439C2×C312yes—
52#1436C2×C312yescomplemented
53C25×C3C2311yescharacteristic
54C22×C3×Q8—24no—
55C22×C3×Q8—22no—
56C22×C3×Q8—22no—
57C22×C3×Q8—22no—
58C22×C3×Q8—42no—
59C23×C3×C4—22no—
60C23×C3×C4—24no—
61C23×C3×C4—22no—
62C23×C3×C4—42no—
63C23×C3×C4D414yes—
64C23×C3×C4C2311yescharacteristic
65C23×C3×C4C2311yescharacteristic
66C23×C3×C4C2312yes—
67C23×C3×C4C2312yes—
68C23×C3×C4C2312yes—
69C23×C3×C4C2311yescharacteristic
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2311yescharacteristic
72C23×C3×C4C2311yescharacteristic
73C23×C3×C4C2312yes—
74C3×C22⋊Q8—232no—
75C2×C3×C4⋊C4—24no—
76C2×C3×C4⋊C4—24no—
77C2×C3×C4⋊C4—22no—
78C2×C3×C4⋊C4—24no—
79C2×C3×C4⋊C4—24no—
80C2×C3×C4⋊C4—24no—
81C2×C3×C4⋊C4—24no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—24no—
85C2×C3×C4⋊C4—24no—
86C2×C3×C4⋊C4—24no—
87C2×C3×C4⋊C4—22no—
88C2×C3×C4⋊C4—22no—
89C2×C3×C4⋊C4—42no—
90C2×C3×C4⋊C4D418yes—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—24no—
93C2×C3×C22⋊C4—24no—
94C2×C3×C22⋊C4—24no—
95C2×C3×C22⋊C4—24no—
96C2×C3×C22⋊C4—22no—
97C2×C3×C22⋊C4—22no—
98C2×C3×C22⋊C4—24no—
99C2×C3×C22⋊C4—22no—
100C2×C3×C22⋊C4—42no—
101C2×C3×C22⋊C4Q818yescomplemented
102C2×C3×C42—24no—
103C2×C3×C42—24no—
104C2×C3×C42—42no—
105C3×#95—22no—
106C3×#95—22no—
107C3×#95—22no—
108C3×#95—24no—
109C3×#95—24no—
110C3×#95—24no—
111C3×#95—24no—
112C3×#95—24no—
113C3×#95—42no—
114C3×#95D414yes—
115C23×Q8C22×C311yescharacteristic
116C24×C4C22×C311yescharacteristic
117C2×C22⋊Q8—24no—
118C2×C22⋊Q8—28no—
119C22×C4⋊C4C22×C311yescharacteristic
120C22×C4⋊C4C22×C311yescharacteristic
121C22×C4⋊C4C22×C312yes—
122C22×C4⋊C4C22×C311yescharacteristic
123C22×C4⋊C4C22×C312yes—
124C22×C4⋊C4C22×C312yes—
125C22×C22⋊C4C22×C312yes—
126C22×C22⋊C4C22×C311yescharacteristic
127C22×C22⋊C4C22×C312yes—
128C22×C22⋊C4C22×C311yescharacteristic
129C22×C42C22×C312yes—
130#395—24no—
131#389—28no—
132#385—24no—
133C4×C22⋊C4—24no—
134C2×#95C22×C312yes—
135C2×#95C22×C311yescharacteristic
136C2×#95C22×C312yes—
137C2×#95C22×C312yes—
138C2×#95C22×C312yes—
139C2×#95C22×C312yes—
140C2×#95C22×C311yescharacteristic
141C2×#95C22×C311yescharacteristic
142C2×#95C22×C312yes—
143C2×#95C22×C311yescharacteristic
144C24×C3—22no—
145C24×C3—21no—
146C24×C3—22no—
147C24×C3—21no—
148C24×C3—21no—
149C24×C3—21no—
150C24×C3—22no—
151C24×C3—21no—
152C24×C3—21no—
153C24×C3C2×D412yes—
154C24×C3C2×Q814yes—
155C24×C3C2411yescharacteristic
156C2×C3×Q8—28no—
157C2×C3×Q8—48no—
158C2×C3×Q8—48no—
159C2×C3×Q8—44no—
160C2×C3×Q8—44no—
161C22×C3×C4—21no—
162C22×C3×C4—22no—
163C22×C3×C4—22no—
164C22×C3×C4—22no—
165C22×C3×C4—21no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—21no—
172C22×C3×C4—22no—
173C22×C3×C4—21no—
174C22×C3×C4—21no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—21no—
186C22×C3×C4—21no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—21no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4—22no—
195C22×C3×C4—21no—
196C22×C3×C4—22no—
197C22×C3×C4—21no—
198C22×C3×C4—28no—
199C22×C3×C4—28no—
200C22×C3×C4—21no—
201C22×C3×C4—22no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—22no—
205C22×C3×C4—21no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—44no—
211C22×C3×C4—48no—
212C22×C3×C4—48no—
213C22×C3×C4C2×D414yes—
214C22×C3×C4C2×D414yes—
215C22×C3×C4C2×D412yes—
216C22×C3×C4C2×D414yes—
217C22×C3×C4C2×D412yes—
218C22×C3×C4C2×D412yes—
219C22×C3×C4C2×D414yes—
220C22×C3×C4C2×Q814yes—
221C22×C3×C4C2×Q814yes—
222C22×C3×C4#4112yes—
223C22×C3×C4#4112yes—
224C22×C3×C4#4112yes—
225C22×C3×C4#4114yes—
226C3×C4⋊C4—216no—
227C3×C4⋊C4—28no—
228C3×C4⋊C4—216no—
229C3×C4⋊C4—48no—
230C3×C4⋊C4—44no—
231C3×C4⋊C4—44no—
232C3×C22⋊C4—28no—
233C3×C22⋊C4—216no—
234C3×C22⋊C4—216no—
235C3×C22⋊C4—44no—
236C3×C42—48no—
237C25C23×C311yescharacteristic
238C22×Q8—24no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—42no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—42no—
247C23×C4C3×D414yes—
248C23×C4C23×C311yescharacteristic
249C23×C4C23×C311yescharacteristic
250C23×C4C23×C312yes—
251C23×C4C23×C312yes—
252C23×C4C23×C312yes—
253C23×C4C23×C311yescharacteristic
254C23×C4C23×C311yescharacteristic
255C23×C4C23×C311yescharacteristic
256C23×C4C23×C311yescharacteristic
257C23×C4C23×C312yes—
258C22⋊Q8—232no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4C3×D418yes—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—22no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—22no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—42no—
285C2×C22⋊C4C3×Q818yescomplemented
286C2×C42—24no—
287C2×C42—24no—
288C2×C42—42no—
289#95—22no—
290#95—22no—
291#95—22no—
292#95—24no—
293#95—24no—
294#95—24no—
295#95—24no—
296#95—24no—
297#95—42no—
298#95C3×D414yes—
299C23×C3—22no—
300C23×C3—22no—
301C23×C3—24no—
302C23×C3—22no—
303C23×C3—22no—
304C23×C3—24no—
305C23×C3—22no—
306C23×C3—22no—
307C23×C3—24no—
308C23×C3—24no—
309C23×C3—24no—
310C23×C3—24no—
311C23×C3—42no—
312C23×C3—42no—
313C23×C3—42no—
314C23×C3—42no—
315C23×C3—42no—
316C23×C3—42no—
317C23×C3—41no—
318C23×C3—41no—
319C23×C3—41no—
320C23×C3—41no—
321C23×C3C4⋊Q814yes—
322C23×C3C22×D411yescharacteristic
323C23×C3C22×D412yes—
324C23×C3C22×D411yescharacteristic
325C23×C3C22×Q812yes—
326C23×C3C2×#4111yescharacteristic
327C23×C3C2×#4112yes—
328C23×C3C2×#4111yescharacteristic
329C23×C3C2×#4111yescharacteristic
330C23×C3H(5,𝔽2)12yes—
331C23×C32−1+411yescharacteristic
332C23×C32−1+411yescharacteristic
333C3×Q8—416no—
334C2×C3×C4—22no—
335C2×C3×C4—22no—
336C2×C3×C4—24no—
337C2×C3×C4—22no—
338C2×C3×C4—22no—
339C2×C3×C4—24no—
340C2×C3×C4—24no—
341C2×C3×C4—24no—
342C2×C3×C4—24no—
343C2×C3×C4—24no—
344C2×C3×C4—24no—
345C2×C3×C4—24no—
346C2×C3×C4—24no—
347C2×C3×C4—24no—
348C2×C3×C4—24no—
349C2×C3×C4—24no—
350C2×C3×C4—24no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—24no—
354C2×C3×C4—24no—
355C2×C3×C4—24no—
356C2×C3×C4—24no—
357C2×C3×C4—24no—
358C2×C3×C4—22no—
359C2×C3×C4—24no—
360C2×C3×C4—22no—
361C2×C3×C4—24no—
362C2×C3×C4—416no—
363C2×C3×C4—41no—
364C2×C3×C4—41no—
365C2×C3×C4—42no—
366C2×C3×C4—42no—
367C2×C3×C4—42no—
368C2×C3×C4—41no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—41no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—41no—
380C2×C3×C4—42no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4#12014yes—
393C2×C3×C4#12114yes—
394C2×C3×C4C22⋊Q818yescomplemented
395C24—22no—
396C24—21no—
397C24—22no—
398C24—21no—
399C24—21no—
400C24—21no—
401C24—22no—
402C24—21no—
403C24—21no—
404C24C2×C3×D412yes—
405C24C2×C3×Q814yes—
406C24C24×C311yescharacteristic
407C2×Q8—28no—
408C2×Q8—48no—
409C2×Q8—48no—
410C2×Q8—44no—
411C2×Q8—44no—
412C22×C4—21no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—21no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—28no—
450C22×C4—28no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—44no—
462C22×C4—48no—
463C22×C4—48no—
464C22×C4C2×C3×D414yes—
465C22×C4C2×C3×D414yes—
466C22×C4C2×C3×D412yes—
467C22×C4C2×C3×D414yes—
468C22×C4C2×C3×D412yes—
469C22×C4C2×C3×D412yes—
470C22×C4C2×C3×D414yes—
471C22×C4C2×C3×Q814yes—
472C22×C4C2×C3×Q814yes—
473C22×C4C3×#4112yes—
474C22×C4C3×#4112yes—
475C22×C4C3×#4112yes—
476C22×C4C3×#4114yes—
477C4⋊C4—28no—
478C4⋊C4—216no—
479C4⋊C4—216no—
480C4⋊C4—48no—
481C4⋊C4—44no—
482C4⋊C4—44no—
483C22⋊C4—216no—
484C22⋊C4—28no—
485C22⋊C4—216no—
486C22⋊C4—44no—
487C42—48no—
488C22×C3—24no—
489C22×C3—24no—
490C22×C3—24no—
491C22×C3—42no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—44no—
496C22×C3—44no—
497C22×C3—44no—
498C22×C3—44no—
499C22×C3C2×#12011yescharacteristic
500C22×C3C2×#12111yescharacteristic
501C22×C3C2×C22⋊Q812yes—
502C22×C3#52511yescharacteristic
503C22×C3#52512yes—
504C22×C3C2×C4⋊Q811yescharacteristic
505C22×C3#53211yescharacteristic
506C22×C3#53212yes—
507C22×C3#53312yes—
508C22×C3#53411yescharacteristic
509C22×C3#53611yescharacteristic
510C22×C3#53912yes—
511C22×C3#54212yes—
512C22×C3D4212yes—
513C22×C3#54612yes—
514C22×C3#54711yescharacteristic
515C22×C3#54811yescharacteristic
516C22×C3D4×Q812yes—
517C22×C3D4×Q812yes—
518C22×C3#55211yescharacteristic
519C22×C3#55412yes—
520C22×C3#55412yes—
521C22×C3#55611yescharacteristic
522C3×C4—24no—
523C3×C4—24no—
524C3×C4—28no—
525C3×C4—44no—
526C3×C4—42no—
527C3×C4—44no—
528C3×C4—42no—
529C3×C4—44no—
530C3×C4—81no—
531C3×C4—81no—
532C23—22no—
533C23—22no—
534C23—24no—
535C23—22no—
536C23—22no—
537C23—24no—
538C23—22no—
539C23—22no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23C3×C4⋊Q814yes—
555C23C22×C3×D411yescharacteristic
556C23C22×C3×D412yes—
557C23C22×C3×D411yescharacteristic
558C23C22×C3×Q812yes—
559C23C2×C3×#4111yescharacteristic
560C23C2×C3×#4112yes—
561C23C2×C3×#4111yescharacteristic
562C23C2×C3×#4111yescharacteristic
563C23C3×H(5,𝔽2)12yes—
564C23C3×2−1+411yescharacteristic
565C23C3×2−1+411yescharacteristic
566Q8—416no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—24no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—416no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4C3×#12014yes—
626C2×C4C3×#12114yes—
627C2×C4C3×C22⋊Q818yescomplemented
628C2×C3—44no—
629C2×C3#238811yescharacteristic
630C2×C3#241011yescharacteristic
631C2×C3#241511yescharacteristic
632C2×C3#243411yescharacteristic
633C2×C3#244912yes—
634C2×C3#245212yes—
635C2×C3#246512yes—
636C2×C3#255612yes—
637C2×C3#258311yescharacteristic
638C2×C3#266311yescharacteristic
639C2×C3#285711yescharacteristic
640C22—24no—
641C22—24no—
642C22—24no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22C2×C3×#12011yescharacteristic
652C22C2×C3×#12111yescharacteristic
653C22C2×C3×C22⋊Q812yes—
654C22C3×#52511yescharacteristic
655C22C3×#52512yes—
656C22C2×C3×C4⋊Q811yescharacteristic
657C22C3×#53211yescharacteristic
658C22C3×#53212yes—
659C22C3×#53312yes—
660C22C3×#53411yescharacteristic
661C22C3×#53611yescharacteristic
662C22C3×#53912yes—
663C22C3×#54212yes—
664C22C3×D4212yes—
665C22C3×#54612yes—
666C22C3×#54711yescharacteristic
667C22C3×#54811yescharacteristic
668C22C3×D4×Q812yes—
669C22C3×D4×Q812yes—
670C22C3×#55211yescharacteristic
671C22C3×#55412yes—
672C22C3×#55412yes—
673C22C3×#55611yescharacteristic
674C4—24no—
675C4—24no—
676C4—28no—
677C4—44no—
678C4—42no—
679C4—44no—
680C4—42no—
681C4—44no—
682C4—81no—
683C4—81no—
684C3#1476311yescharacteristic, direct product factor, Sylow
685C2—44no—
686C2C3×#238811yescharacteristic
687C2C3×#241011yescharacteristic
688C2C3×#241511yescharacteristic
689C2C3×#243411yescharacteristic
690C2C3×#244912yes—
691C2C3×#245212yes—
692C2C3×#246512yes—
693C2C3×#255612yes—
694C2C3×#258311yescharacteristic
695C2C3×#266311yescharacteristic
696C2C3×#285711yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC25×C3C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#395C2semidirect
3. C2×C3×#389C2semidirect
6. C3×#1446C2semidirect
7. C3×#1444C2semidirect
8. C3×#1441C2semidirect
11. C3×#1436C2semidirect
12. #14763C3direct (N × H)
43. C2×#395C2×C3semidirect
44. C2×#389C2×C3semidirect
47. #1446C2×C3semidirect
48. #1444C2×C3semidirect
49. #1441C2×C3semidirect
52. #1436C2×C3semidirect
101. C2×C3×C22⋊C4Q8semidirect
285. C2×C22⋊C4C3×Q8semidirect
394. C2×C3×C4C22⋊Q8semidirect
627. C2×C4C3×C22⋊Q8semidirect
684. C3#14763direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C22⋊Q82
C2×C3×#3952
C2×C3×#3892
C2×C3×#3852
C2×C3×C4×C22⋊C42
C3×#14462
C3×#14442
C3×#14412
C3×#14392
C3×#14362
#147633