Finite Group Databasebeta

← C3×#24215 #10642822

Subgroups — C3×#24215 #10642822

Order 768.

1642 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#124C211yesmaximal, characteristic, complemented
2C2×C3×#463C212yesmaximal, complemented
3C2×C3×#448C211yesmaximal, characteristic, complemented
4C2×C3×#447C211yesmaximal, characteristic
5C3×C4×#121C211yesmaximal, characteristic, complemented
6C3×#2042C212yesmaximal, complemented
7C3×#2012C212yesmaximal, complemented
8C3×#1983C212yesmaximal, complemented
9C3×#1797C211yesmaximal, characteristic, complemented
10C3×#1787C211yesmaximal, characteristic, complemented
11C3×#1786C211yesmaximal, characteristic, complemented
12#24215C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×Q8C2211yescharacteristic
14C23×C3×D4C2211yescharacteristic
15C22×C3×SD16C2212yescomplemented
16C22×C3×D8C2212yes—
17C2×C3×#124—28no—
18C2×C3×#124—21no—
19C2×C3×#124—21no—
20C2×C3×#124C2212yes—
21C2×C3×#124C2212yes—
22C2×C3×#121C2211yescharacteristic
23C2×C3×C4×D4—21no—
24C2×C3×C4×D4C2211yescharacteristic, complemented
25C22×C3×C22⋊C4—21no—
26C22×C3×C22⋊C4—21no—
27C22×C3×C42C2211yescharacteristic
28C3×#463—28no—
29C3×#448—24no—
30C3×#447—24no—
31C2×C3×C4⋊C8C2212yescomplemented
32C2×C3×#103C2212yescomplemented
33C2×C3×#103C2212yescomplemented
34C2×C3×#103C2212yescomplemented
35C2×C3×#102C2212yes—
36C2×C3×#102C2212yes—
37C2×C3×#102C2212yes—
38C2×C3×C22⋊C8C2211yescharacteristic
39C2×C3×C22⋊C8C2211yescharacteristic
40C3×#390C2211yescharacteristic, complemented
41C3×#389C2211yescharacteristic, complemented
42C3×#388—21no—
43C3×#386—21no—
44C3×#380C2211yescharacteristic
45C3×C4×C4⋊C4C2211yescharacteristic, complemented
46C3×C4×C22⋊C4—21no—
47C3×#336C2212yescomplemented
48C22×#124C2×C311yescharacteristic, complemented
49C2×#463C2×C312yescomplemented
50C2×#448C2×C311yescharacteristic, complemented
51C2×#447C2×C311yescharacteristic
52C4×#121C2×C311yescharacteristic, complemented
53#2042C2×C312yescomplemented
54#2012C2×C312yescomplemented
55#1983C2×C312yescomplemented
56#1797C2×C311yescharacteristic, complemented
57#1787C2×C311yescharacteristic, complemented
58#1786C2×C311yescharacteristic, complemented
59C25×C3—21no—
60C22×C3×Q8—24no—
61C22×C3×Q8—21no—
62C22×C3×Q8—22no—
63C22×C3×Q8—22no—
64C22×C3×Q8—42no—
65C22×C3×Q8C2312yes—
66C22×C3×D4—21no—
67C22×C3×D4—24no—
68C22×C3×D4—21no—
69C22×C3×D4—22no—
70C22×C3×D4—22no—
71C22×C3×D4—42no—
72C22×C3×D4C2311yescharacteristic
73C22×C3×D4C2312yes—
74C23×C3×C4—21no—
75C23×C3×C4—21no—
76C23×C3×C4D411yescharacteristic
77C23×C3×C4D411yescharacteristic
78C23×C3×C4C2311yescharacteristic
79C2×C3×SD16—24no—
80C2×C3×SD16—24no—
81C2×C3×SD16—42no—
82C2×C3×D8—24no—
83C2×C3×D8—24no—
84C2×C3×D8—42no—
85C22×C3×C8C2312yes—
86C22×C3×C8C2312yes—
87C3×#124—28no—
88C3×#124—28no—
89C3×#124—24no—
90C3×#124—24no—
91C3×#124—24no—
92C3×#124D418yescomplemented
93C3×#121—22no—
94C3×#121D414yes—
95C3×C4×D4—24no—
96C3×C4×D4—44no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C22⋊C4—28no—
102C2×C3×C22⋊C4—28no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—22no—
105C2×C3×C22⋊C4—22no—
106C2×C3×C22⋊C4—22no—
107C2×C3×C22⋊C4—22no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C42—24no—
113C2×C3×C42—21no—
114C2×C3×C42D411yescharacteristic
115C2×C3×C42D411yescharacteristic
116C2×C3×C42C2311yescharacteristic
117C2×C3×C42C2311yescharacteristic
118C3×C4⋊C8—24no—
119C3×#103—24no—
120C3×#103—24no—
121C3×#103—42no—
122C3×#102—24no—
123C3×#102—24no—
124C3×#102—42no—
125C3×C22⋊C8—22no—
126C3×C22⋊C8—22no—
127C3×#95—21no—
128C3×#95—21no—
129C3×#95—21no—
130C23×Q8C22×C311yescharacteristic
131C23×D4C22×C311yescharacteristic
132C22×SD16C22×C312yescomplemented
133C22×D8C22×C312yes—
134C2×#124—28no—
135C2×#124—21no—
136C2×#124—21no—
137C2×#124C22×C312yes—
138C2×#124C22×C312yes—
139C2×#121C22×C311yescharacteristic
140C2×C4×D4—21no—
141C2×C4×D4C22×C311yescharacteristic, complemented
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C42C22×C311yescharacteristic
145#463—28no—
146#448—24no—
147#447—24no—
148C2×C4⋊C8C22×C312yescomplemented
149C2×#103C22×C312yescomplemented
150C2×#103C22×C312yescomplemented
151C2×#103C22×C312yescomplemented
152C2×#102C22×C312yes—
153C2×#102C22×C312yes—
154C2×#102C22×C312yes—
155C2×C22⋊C8C22×C311yescharacteristic
156C2×C22⋊C8C22×C311yescharacteristic
157#390C22×C311yescharacteristic, complemented
158#389C22×C311yescharacteristic, complemented
159#388—21no—
160#386—21no—
161#380C22×C311yescharacteristic
162C4×C4⋊C4C22×C311yescharacteristic, complemented
163C4×C22⋊C4—21no—
164#336C22×C312yescomplemented
165C24×C3—24no—
166C24×C3—22no—
167C24×C3—21no—
168C24×C3—42no—
169C24×C3—42no—
170C24×C3—42no—
171C24×C3—42no—
172C24×C3—42no—
173C24×C3—42no—
174C24×C3C2×D411yescharacteristic
175C2×C3×Q8—24no—
176C2×C3×Q8—22no—
177C2×C3×Q8—22no—
178C2×C3×Q8—22no—
179C2×C3×Q8—22no—
180C2×C3×Q8—22no—
181C2×C3×Q8—48no—
182C2×C3×Q8—48no—
183C2×C3×Q8—42no—
184C2×C3×Q8—42no—
185C2×C3×Q8C2×D414yes—
186C2×C3×D4—24no—
187C2×C3×D4—24no—
188C2×C3×D4—22no—
189C2×C3×D4—22no—
190C2×C3×D4—22no—
191C2×C3×D4—22no—
192C2×C3×D4—21no—
193C2×C3×D4—22no—
194C2×C3×D4—22no—
195C2×C3×D4—22no—
196C2×C3×D4—48no—
197C2×C3×D4—48no—
198C2×C3×D4—42no—
199C2×C3×D4—42no—
200C2×C3×D4—42no—
201C2×C3×D4—42no—
202C2×C3×D4C2×D414yes—
203C2×C3×D4C2×D412yes—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—24no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—21no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—41no—
216C22×C3×C4—41no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4—42no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D412yes—
228C22×C3×C4#4112yes—
229C22×C3×C4C2411yescharacteristic
230C3×SD16—48no—
231C3×D8—48no—
232C2×C3×C8—22no—
233C2×C3×C8—22no—
234C2×C3×C8—22no—
235C2×C3×C8—22no—
236C2×C3×C8—22no—
237C2×C3×C8—22no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—22no—
240C3×C4⋊C4—22no—
241C3×C4⋊C4—42no—
242C3×C4⋊C4C2×D412yes—
243C3×C22⋊C4—28no—
244C3×C22⋊C4—28no—
245C3×C22⋊C4—28no—
246C3×C22⋊C4—28no—
247C3×C22⋊C4—24no—
248C3×C22⋊C4—42no—
249C3×C22⋊C4—42no—
250C3×C22⋊C4—42no—
251C3×C22⋊C4—42no—
252C3×C42—22no—
253C3×C42—22no—
254C3×C42—22no—
255C3×C42—42no—
256C3×C42C2×D414yes—
257C25—21no—
258C22×Q8—24no—
259C22×Q8—21no—
260C22×Q8—22no—
261C22×Q8—22no—
262C22×Q8—42no—
263C22×Q8C23×C312yes—
264C22×D4—21no—
265C22×D4—24no—
266C22×D4—21no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—42no—
270C22×D4C23×C311yescharacteristic
271C22×D4C23×C312yes—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4C3×D411yescharacteristic
275C23×C4C3×D411yescharacteristic
276C23×C4C23×C311yescharacteristic
277C2×SD16—24no—
278C2×SD16—24no—
279C2×SD16—42no—
280C2×D8—24no—
281C2×D8—24no—
282C2×D8—42no—
283C22×C8C23×C312yes—
284C22×C8C23×C312yes—
285#124—28no—
286#124—28no—
287#124—24no—
288#124—24no—
289#124—24no—
290#124C3×D418yescomplemented
291#121—22no—
292#121C3×D414yes—
293C4×D4—24no—
294C4×D4—44no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—22no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C42—24no—
311C2×C42—21no—
312C2×C42C3×D411yescharacteristic
313C2×C42C3×D411yescharacteristic
314C2×C42C23×C311yescharacteristic
315C2×C42C23×C311yescharacteristic
316C4⋊C8—24no—
317#103—24no—
318#103—24no—
319#103—42no—
320#102—24no—
321#102—24no—
322#102—42no—
323C22⋊C8—22no—
324C22⋊C8—22no—
325#95—21no—
326#95—21no—
327#95—21no—
328C23×C3—21no—
329C23×C3—21no—
330C23×C3—21no—
331C23×C3—21no—
332C23×C3—24no—
333C23×C3—22no—
334C23×C3—48no—
335C23×C3—48no—
336C23×C3—48no—
337C23×C3—41no—
338C23×C3—42no—
339C23×C3—42no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—42no—
343C23×C3—41no—
344C23×C3—42no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—84no—
350C23×C3—84no—
351C23×C3—84no—
352C23×C3—84no—
353C23×C3#12112yes—
354C23×C3#13512yes—
355C23×C3AGL(1,ℤ/8)12yes—
356C23×C3C22×D411yescharacteristic
357C3×Q8—24no—
358C3×Q8—24no—
359C3×Q8—48no—
360C3×Q8—42no—
361C3×Q8—42no—
362C3×D4—24no—
363C3×D4—24no—
364C3×D4—24no—
365C3×D4—48no—
366C3×D4—48no—
367C3×D4—42no—
368C3×D4—42no—
369C3×D4—42no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—24no—
377C2×C3×C4—24no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—24no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—44no—
387C2×C3×C4—44no—
388C2×C3×C4—48no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—84no—
400C2×C3×C4#12012yes—
401C2×C3×C4#12012yes—
402C2×C3×C4#12112yes—
403C2×C3×C4C22×D411yescharacteristic
404C2×C3×C4C22×D412yes—
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4H(5,𝔽2)12yes—
407C3×C8—42no—
408C3×C8—42no—
409C24—24no—
410C24—21no—
411C24—22no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24C2×C3×D411yescharacteristic
419C2×Q8—24no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—48no—
426C2×Q8—48no—
427C2×Q8—42no—
428C2×Q8—42no—
429C2×Q8C2×C3×D414yes—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—21no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—42no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—42no—
446C2×D4C2×C3×D414yes—
447C2×D4C2×C3×D412yes—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4C2×C3×D411yescharacteristic
467C22×C4C2×C3×D411yescharacteristic
468C22×C4C2×C3×D411yescharacteristic
469C22×C4C2×C3×D411yescharacteristic
470C22×C4C2×C3×D411yescharacteristic
471C22×C4C2×C3×D412yes—
472C22×C4C3×#4112yes—
473C22×C4C24×C311yescharacteristic
474SD16—48no—
475D8—48no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C4⋊C4—21no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—42no—
486C4⋊C4C2×C3×D412yes—
487C22⋊C4—28no—
488C22⋊C4—28no—
489C22⋊C4—28no—
490C22⋊C4—28no—
491C22⋊C4—24no—
492C22⋊C4—42no—
493C22⋊C4—42no—
494C22⋊C4—42no—
495C22⋊C4—42no—
496C42—22no—
497C42—22no—
498C42—22no—
499C42—42no—
500C42C2×C3×D414yes—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—44no—
508C22×C3—42no—
509C22×C3—44no—
510C22×C3—44no—
511C22×C3—42no—
512C22×C3—42no—
513C22×C3—816no—
514C22×C3—81no—
515C22×C3—82no—
516C22×C3—81no—
517C22×C3—82no—
518C22×C3—81no—
519C22×C3—81no—
520C22×C3—82no—
521C22×C3—82no—
522C22×C3#46314yescomplemented
523C22×C3C2×#12011yescharacteristic
524C22×C3C2×#12111yescharacteristic
525C22×C3#53511yescharacteristic
526C22×C3C2×#13511yescharacteristic
527C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
528C22×C3#57511yescharacteristic
529C22×C3#57511yescharacteristic
530C3×C4—22no—
531C3×C4—22no—
532C3×C4—22no—
533C3×C4—44no—
534C3×C4—41no—
535C3×C4—41no—
536C3×C4—42no—
537C3×C4—81no—
538C3×C4—81no—
539C3×C4D4212yes—
540C3×C4#54612yes—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—24no—
546C23—22no—
547C23—48no—
548C23—48no—
549C23—48no—
550C23—41no—
551C23—42no—
552C23—41no—
553C23—42no—
554C23—41no—
555C23—41no—
556C23—42no—
557C23—42no—
558C23—41no—
559C23—42no—
560C23—42no—
561C23—41no—
562C23—84no—
563C23—84no—
564C23—84no—
565C23—84no—
566C23C3×#12112yes—
567C23C3×#13512yes—
568C23C3×AGL(1,ℤ/8)12yes—
569C23C22×C3×D411yescharacteristic
570Q8—24no—
571Q8—24no—
572Q8—48no—
573Q8—42no—
574Q8—42no—
575D4—24no—
576D4—24no—
577D4—24no—
578D4—48no—
579D4—48no—
580D4—42no—
581D4—42no—
582D4—42no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—48no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4C3×#12012yes—
614C2×C4C3×#12012yes—
615C2×C4C3×#12112yes—
616C2×C4C22×C3×D411yescharacteristic
617C2×C4C22×C3×D412yes—
618C2×C4C2×C3×#4111yescharacteristic
619C2×C4C3×H(5,𝔽2)12yes—
620C8—42no—
621C8—42no—
622C2×C3—24no—
623C2×C3—82no—
624C2×C3—84no—
625C2×C3#240811yescharacteristic
626C2×C3#300211yescharacteristic
627C2×C3#300611yescharacteristic
628C2×C3C2×#46311yescharacteristic
629C2×C3#304011yescharacteristic
630C2×C3#321111yescharacteristic
631C2×C3#321311yescharacteristic
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—44no—
639C22—42no—
640C22—44no—
641C22—44no—
642C22—42no—
643C22—42no—
644C22—816no—
645C22—82no—
646C22—81no—
647C22—82no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—82no—
652C22—82no—
653C22C3×#46314yescomplemented
654C22C2×C3×#12011yescharacteristic
655C22C2×C3×#12111yescharacteristic
656C22C3×#53511yescharacteristic
657C22C2×C3×#13511yescharacteristic
658C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
659C22C3×#57511yescharacteristic
660C22C3×#57511yescharacteristic
661C4—22no—
662C4—22no—
663C4—22no—
664C4—44no—
665C4—41no—
666C4—41no—
667C4—42no—
668C4—81no—
669C4—81no—
670C4C3×D4212yes—
671C4C3×#54612yes—
672C3#2421511yescharacteristic, direct product factor, Sylow
673C2—24no—
674C2—84no—
675C2—82no—
676C2C3×#240811yescharacteristic
677C2C3×#300211yescharacteristic
678C2C3×#300611yescharacteristic
679C2C2×C3×#46311yescharacteristic
680C2C3×#304011yescharacteristic
681C2C3×#321111yescharacteristic
682C2C3×#321311yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#447C2
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. C22×C3×#124C2semidirect
2. C2×C3×#463C2semidirect
3. C2×C3×#448C2semidirect
5. C3×C4×#121C2semidirect
6. C3×#2042C2semidirect
7. C3×#2012C2semidirect
8. C3×#1983C2semidirect
9. C3×#1797C2semidirect
10. C3×#1787C2semidirect
11. C3×#1786C2semidirect
12. #24215C3direct (N × H)
15. C22×C3×SD16C22semidirect
24. C2×C3×C4×D4C22semidirect
31. C2×C3×C4⋊C8C22semidirect
32. C2×C3×#103C22semidirect
33. C2×C3×#103C22semidirect
34. C2×C3×#103C22semidirect
40. C3×#390C22semidirect
41. C3×#389C22semidirect
45. C3×C4×C4⋊C4C22semidirect
47. C3×#336C22semidirect
48. C22×#124C2×C3semidirect
49. C2×#463C2×C3semidirect
50. C2×#448C2×C3semidirect
52. C4×#121C2×C3semidirect
53. #2042C2×C3semidirect
54. #2012C2×C3semidirect
55. #1983C2×C3semidirect
56. #1797C2×C3semidirect
57. #1787C2×C3semidirect
58. #1786C2×C3semidirect
92. C3×#124D4semidirect
132. C22×SD16C22×C3semidirect
141. C2×C4×D4C22×C3semidirect
148. C2×C4⋊C8C22×C3semidirect
149. C2×#103C22×C3semidirect
150. C2×#103C22×C3semidirect
151. C2×#103C22×C3semidirect
157. #390C22×C3semidirect
158. #389C22×C3semidirect
162. C4×C4⋊C4C22×C3semidirect
164. #336C22×C3semidirect
290. #124C3×D4semidirect
522. C22×C3#463semidirect
653. C22C3×#463semidirect
672. C3#24215direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#1242
C2×C3×#4632
C2×C3×#4482
C2×C3×#4472
C3×C4×#1212
C3×#20422
C3×#20122
C3×#19832
C3×#17972
C3×#17872
C3×#17862
#242153