Finite Group Databasebeta

← C3×#29662 #10648269

Subgroups — C3×#29662 #10648269

Order 768.

1304 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#529C211yesmaximal, characteristic, complemented
2C2×C3×#460C211yesmaximal, characteristic, complemented
3C2×C3×#459C211yesmaximal, characteristic, complemented
4C3×#2856C211yesmaximal, characteristic, complemented
5C3×#2025C212yesmaximal, complemented
6C3×#2012C212yesmaximal, complemented
7C3×#2000C212yesmaximal, complemented
8C3×#1999C212yesmaximal, complemented
9C3×#1803C211yesmaximal, characteristic, complemented
10C3×#1802C211yesmaximal, characteristic, complemented
11C3×#1797C211yesmaximal, characteristic, complemented
12#29662C311yesmaximal, characteristic, direct product factor, Sylow
13C22×C3×SD16C2212yes—
14C22×C3×D8C2212yes—
15C2×C3×#127C2211yescharacteristic
16C3×#529—24no—
17C3×#529—24no—
18C2×C3×#126—21no—
19C2×C3×#125C2211yescharacteristic
20C2×C3×#124C2211yescharacteristic
21C2×C3×#123—21no—
22C2×C3×C22⋊Q8C2211yescharacteristic
23C2×C3×#121—21no—
24C2×C3×#121—21no—
25C2×C3×#121C2211yescharacteristic
26C2×C3×#121C2212yes—
27C2×C3×C4×Q8C2211yescharacteristic
28C2×C3×C4×D4—21no—
29C2×C3×C4×D4C2211yescharacteristic
30C2×C3×#117—21no—
31C22×C3×C42C2211yescharacteristic
32C3×#460—24no—
33C3×#459—24no—
34C2×C3×C4⋊C8C2211yescharacteristic
35C2×C3×C4⋊C8C2211yescharacteristic
36C2×C3×#103C2212yes—
37C2×C3×#102C2212yes—
38C2×C3×#102C2212yes—
39C2×C3×#102C2212yes—
40C2×C3×C22⋊C8C2212yes—
41C3×#390—21no—
42C3×#390—21no—
43C3×#390C2212yes—
44C3×#384C2211yescharacteristic
45C3×#340C2212yes—
46C3×#340C2212yes—
47C3×#336C2212yes—
48C2×#529C2×C311yescharacteristic, complemented
49C2×#460C2×C311yescharacteristic, complemented
50C2×#459C2×C311yescharacteristic, complemented
51#2856C2×C311yescharacteristic, complemented
52#2025C2×C312yescomplemented
53#2012C2×C312yescomplemented
54#2000C2×C312yescomplemented
55#1999C2×C312yescomplemented
56#1803C2×C311yescharacteristic, complemented
57#1802C2×C311yescharacteristic, complemented
58#1797C2×C311yescharacteristic, complemented
59C22×C3×Q8C2311yescharacteristic
60C22×C3×D4—21no—
61C22×C3×D4—22no—
62C22×C3×D4—21no—
63C22×C3×D4—21no—
64C22×C3×D4C2312yes—
65C22×C3×D4C2311yescharacteristic
66C23×C3×C4—21no—
67C23×C3×C4D411yescharacteristic
68C23×C3×C4D411yescharacteristic
69C23×C3×C4C2311yescharacteristic
70C2×C3×SD16—24no—
71C2×C3×SD16—42no—
72C2×C3×SD16—42no—
73C2×C3×D8—24no—
74C2×C3×D8—42no—
75C2×C3×D8—42no—
76C22×C3×C8C2312yes—
77C22×C3×C8C2312yes—
78C3×#127—22no—
79C3×#127—22no—
80C3×#126—28no—
81C3×#125—22no—
82C3×#125—22no—
83C3×#124—22no—
84C3×#124—22no—
85C3×#123—28no—
86C3×C22⋊Q8—22no—
87C3×C22⋊Q8—22no—
88C3×#121—22no—
89C3×#121—22no—
90C3×#121—42no—
91C3×#121—42no—
92C3×#121—44no—
93C3×#121—44no—
94C3×C4×Q8—22no—
95C3×C4×Q8D414yescomplemented
96C3×C4×D4—28no—
97C3×C4×D4—22no—
98C3×C4×D4D414yescomplemented
99C3×#117—28no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4C2312yes—
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—22no—
115C2×C3×C22⋊C4—22no—
116C2×C3×C22⋊C4—22no—
117C2×C3×C42—21no—
118C2×C3×C42—22no—
119C2×C3×C42—22no—
120C2×C3×C42D411yescharacteristic
121C2×C3×C42D411yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×C4⋊C8—22no—
125C3×C4⋊C8—22no—
126C3×#103—42no—
127C3×#102—24no—
128C3×#102—24no—
129C3×#102—42no—
130C3×C22⋊C8—42no—
131C22×SD16C22×C312yes—
132C22×D8C22×C312yes—
133C2×#127C22×C311yescharacteristic
134#529—24no—
135#529—24no—
136C2×#126—21no—
137C2×#125C22×C311yescharacteristic
138C2×#124C22×C311yescharacteristic
139C2×#123—21no—
140C2×C22⋊Q8C22×C311yescharacteristic
141C2×#121—21no—
142C2×#121—21no—
143C2×#121C22×C311yescharacteristic
144C2×#121C22×C312yes—
145C2×C4×Q8C22×C311yescharacteristic
146C2×C4×D4—21no—
147C2×C4×D4C22×C311yescharacteristic
148C2×#117—21no—
149C22×C42C22×C311yescharacteristic
150#460—24no—
151#459—24no—
152C2×C4⋊C8C22×C311yescharacteristic
153C2×C4⋊C8C22×C311yescharacteristic
154C2×#103C22×C312yes—
155C2×#102C22×C312yes—
156C2×#102C22×C312yes—
157C2×#102C22×C312yes—
158C2×C22⋊C8C22×C312yes—
159#390—21no—
160#390—21no—
161#390C22×C312yes—
162#384C22×C311yescharacteristic
163#340C22×C312yes—
164#340C22×C312yes—
165#336C22×C312yes—
166C24×C3—21no—
167C24×C3—22no—
168C24×C3C2×D411yescharacteristic
169C2×C3×Q8—21no—
170C2×C3×Q8—21no—
171C2×C3×Q8—21no—
172C2×C3×Q8—21no—
173C2×C3×Q8—21no—
174C2×C3×Q8C2×D412yes—
175C2×C3×D4—24no—
176C2×C3×D4—21no—
177C2×C3×D4—22no—
178C2×C3×D4—22no—
179C2×C3×D4—21no—
180C2×C3×D4—21no—
181C2×C3×D4—21no—
182C2×C3×D4—22no—
183C2×C3×D4—22no—
184C2×C3×D4—22no—
185C2×C3×D4—21no—
186C2×C3×D4—22no—
187C2×C3×D4—42no—
188C2×C3×D4—42no—
189C2×C3×D4—42no—
190C2×C3×D4—42no—
191C2×C3×D4—44no—
192C2×C3×D4—44no—
193C2×C3×D4—44no—
194C2×C3×D4—42no—
195C2×C3×D4—42no—
196C2×C3×D4—42no—
197C2×C3×D4—42no—
198C2×C3×D4C2×D412yes—
199C22×C3×C4—22no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—24no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—22no—
215C22×C3×C4—41no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2411yescharacteristic
224C3×SD16—48no—
225C3×D8—48no—
226C2×C3×C8—22no—
227C2×C3×C8—22no—
228C2×C3×C8—22no—
229C2×C3×C8—22no—
230C2×C3×C8—22no—
231C2×C3×C8—22no—
232C3×C4⋊C4—24no—
233C3×C4⋊C4—24no—
234C3×C4⋊C4—24no—
235C3×C4⋊C4—24no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—22no—
239C3×C4⋊C4—22no—
240C3×C4⋊C4—42no—
241C3×C4⋊C4—42no—
242C3×C4⋊C4C2×D412yes—
243C3×C4⋊C4C2×D412yes—
244C3×C22⋊C4—24no—
245C3×C22⋊C4—24no—
246C3×C22⋊C4—24no—
247C3×C22⋊C4—24no—
248C3×C22⋊C4—24no—
249C3×C22⋊C4—44no—
250C3×C22⋊C4—44no—
251C3×C22⋊C4—44no—
252C3×C42—22no—
253C3×C42—22no—
254C3×C42—24no—
255C3×C42—21no—
256C3×C42—21no—
257C3×C42C2×D412yes—
258C3×C42C2×D412yes—
259C22×Q8C23×C311yescharacteristic
260C22×D4—21no—
261C22×D4—22no—
262C22×D4—21no—
263C22×D4—21no—
264C22×D4C23×C312yes—
265C22×D4C23×C311yescharacteristic
266C23×C4—21no—
267C23×C4C3×D411yescharacteristic
268C23×C4C3×D411yescharacteristic
269C23×C4C23×C311yescharacteristic
270C2×SD16—24no—
271C2×SD16—42no—
272C2×SD16—42no—
273C2×D8—24no—
274C2×D8—42no—
275C2×D8—42no—
276C22×C8C23×C312yes—
277C22×C8C23×C312yes—
278#127—22no—
279#127—22no—
280#126—28no—
281#125—22no—
282#125—22no—
283#124—22no—
284#124—22no—
285#123—28no—
286C22⋊Q8—22no—
287C22⋊Q8—22no—
288#121—22no—
289#121—22no—
290#121—42no—
291#121—42no—
292#121—44no—
293#121—44no—
294C4×Q8—22no—
295C4×Q8C3×D414yescomplemented
296C4×D4—28no—
297C4×D4—22no—
298C4×D4C3×D414yescomplemented
299#117—28no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4C23×C312yes—
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C42—21no—
318C2×C42—22no—
319C2×C42—22no—
320C2×C42C3×D411yescharacteristic
321C2×C42C3×D411yescharacteristic
322C2×C42C23×C311yescharacteristic
323C2×C42C23×C311yescharacteristic
324C4⋊C8—22no—
325C4⋊C8—22no—
326#103—42no—
327#102—24no—
328#102—24no—
329#102—42no—
330C22⋊C8—42no—
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—22no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3AGL(1,ℤ/8)12yes—
352C23×C3C22×D411yescharacteristic
353C3×Q8—22no—
354C3×Q8—22no—
355C3×Q8—41no—
356C3×Q8—41no—
357C3×D4—22no—
358C3×D4—22no—
359C3×D4—48no—
360C3×D4—41no—
361C3×D4—42no—
362C3×D4—42no—
363C3×D4—41no—
364C3×D4—42no—
365C3×D4—42no—
366C3×D4—84no—
367C3×D4—88no—
368C3×D4—84no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—44no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—44no—
395C2×C3×C4—48no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4#12012yes—
400C2×C3×C4#12012yes—
401C2×C3×C4#13512yes—
402C2×C3×C4AGL(1,ℤ/8)12yes—
403C2×C3×C4C22×D411yescharacteristic
404C2×C3×C4C22×D411yescharacteristic
405C2×C3×C4H(5,𝔽2)11yescharacteristic
406C2×C3×C4H(5,𝔽2)11yescharacteristic
407C2×C3×C4H(5,𝔽2)11yescharacteristic
408C2×C3×C42−1+411yescharacteristic
409C3×C8—42no—
410C3×C8—42no—
411C24—21no—
412C24—22no—
413C24C2×C3×D411yescharacteristic
414C2×Q8—21no—
415C2×Q8—21no—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8C2×C3×D412yes—
420C2×D4—24no—
421C2×D4—21no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—21no—
431C2×D4—22no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—42no—
440C2×D4—42no—
441C2×D4—42no—
442C2×D4—42no—
443C2×D4C2×C3×D412yes—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—41no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4C2×C3×D411yescharacteristic
464C22×C4C2×C3×D411yescharacteristic
465C22×C4C2×C3×D411yescharacteristic
466C22×C4C2×C3×D411yescharacteristic
467C22×C4C2×C3×D411yescharacteristic
468C22×C4C24×C311yescharacteristic
469SD16—48no—
470D8—48no—
471C2×C8—22no—
472C2×C8—22no—
473C2×C8—22no—
474C2×C8—22no—
475C2×C8—22no—
476C2×C8—22no—
477C4⋊C4—24no—
478C4⋊C4—24no—
479C4⋊C4—24no—
480C4⋊C4—24no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—42no—
486C4⋊C4—42no—
487C4⋊C4C2×C3×D412yes—
488C4⋊C4C2×C3×D412yes—
489C22⋊C4—24no—
490C22⋊C4—24no—
491C22⋊C4—24no—
492C22⋊C4—24no—
493C22⋊C4—24no—
494C22⋊C4—44no—
495C22⋊C4—44no—
496C22⋊C4—44no—
497C42—22no—
498C42—22no—
499C42—24no—
500C42—21no—
501C42—21no—
502C42C2×C3×D412yes—
503C42C2×C3×D412yes—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—42no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—81no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—81no—
518C22×C3—82no—
519C22×C3—82no—
520C22×C3—82no—
521C22×C3—82no—
522C22×C3—82no—
523C22×C3—82no—
524C22×C3—82no—
525C22×C3C2×#12011yescharacteristic
526C22×C3#53511yescharacteristic
527C22×C3#53711yescharacteristic
528C22×C3C2×#13511yescharacteristic
529C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
530C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
531C22×C3#57511yescharacteristic
532C3×C4—22no—
533C3×C4—41no—
534C3×C4—42no—
535C3×C4—41no—
536C3×C4—42no—
537C3×C4—41no—
538C3×C4—42no—
539C3×C4—82no—
540C3×C4#44914yes—
541C3×C4#53511yescharacteristic
542C3×C4#53511yescharacteristic
543C3×C4#53711yescharacteristic
544C3×C4#53711yescharacteristic
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23C3×AGL(1,ℤ/8)12yes—
566C23C22×C3×D411yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—48no—
574D4—41no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—42no—
579D4—42no—
580D4—84no—
581D4—88no—
582D4—84no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—44no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—44no—
605C2×C4—48no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4C3×#12012yes—
614C2×C4C3×#12012yes—
615C2×C4C3×#13512yes—
616C2×C4C3×AGL(1,ℤ/8)12yes—
617C2×C4C22×C3×D411yescharacteristic
618C2×C4C22×C3×D411yescharacteristic
619C2×C4C3×H(5,𝔽2)11yescharacteristic
620C2×C4C3×H(5,𝔽2)11yescharacteristic
621C2×C4C3×H(5,𝔽2)11yescharacteristic
622C2×C4C3×2−1+411yescharacteristic
623C8—42no—
624C8—42no—
625C2×C3—42no—
626C2×C3—82no—
627C2×C3—162no—
628C2×C3#261511yescharacteristic
629C2×C3C2×#44911yescharacteristic
630C2×C3#300611yescharacteristic
631C2×C3#321211yescharacteristic
632C2×C3#321711yescharacteristic
633C2×C3#324711yescharacteristic
634C2×C3#325111yescharacteristic
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—82no—
650C22—82no—
651C22—82no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22C2×C3×#12011yescharacteristic
657C22C3×#53511yescharacteristic
658C22C3×#53711yescharacteristic
659C22C2×C3×#13511yescharacteristic
660C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
661C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
662C22C3×#57511yescharacteristic
663C4—22no—
664C4—41no—
665C4—42no—
666C4—41no—
667C4—42no—
668C4—41no—
669C4—42no—
670C4—82no—
671C4C3×#44914yes—
672C4C3×#53511yescharacteristic
673C4C3×#53511yescharacteristic
674C4C3×#53711yescharacteristic
675C4C3×#53711yescharacteristic
676C3#2966211yescharacteristic, direct product factor, Sylow
677C2—42no—
678C2—82no—
679C2—162no—
680C2C3×#261511yescharacteristic
681C2C2×C3×#44911yescharacteristic
682C2C3×#300611yescharacteristic
683C2C3×#321211yescharacteristic
684C2C3×#321711yescharacteristic
685C2C3×#324711yescharacteristic
686C2C3×#325111yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C22×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#529C2semidirect
2. C2×C3×#460C2semidirect
3. C2×C3×#459C2semidirect
4. C3×#2856C2semidirect
5. C3×#2025C2semidirect
6. C3×#2012C2semidirect
7. C3×#2000C2semidirect
8. C3×#1999C2semidirect
9. C3×#1803C2semidirect
10. C3×#1802C2semidirect
11. C3×#1797C2semidirect
12. #29662C3direct (N × H)
48. C2×#529C2×C3semidirect
49. C2×#460C2×C3semidirect
50. C2×#459C2×C3semidirect
51. #2856C2×C3semidirect
52. #2025C2×C3semidirect
53. #2012C2×C3semidirect
54. #2000C2×C3semidirect
55. #1999C2×C3semidirect
56. #1803C2×C3semidirect
57. #1802C2×C3semidirect
58. #1797C2×C3semidirect
95. C3×C4×Q8D4semidirect
98. C3×C4×D4D4semidirect
295. C4×Q8C3×D4semidirect
298. C4×D4C3×D4semidirect
676. C3#29662direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5292
C2×C3×#4602
C2×C3×#4592
C3×#28562
C3×#20252
C3×#20122
C3×#20002
C3×#19992
C3×#18032
C3×#18022
C3×#17972
#296623