Finite Group Databasebeta

← C3×#24401 #10643008

Subgroups — C3×#24401 #10643008

Order 768.

1348 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×#137C211yesmaximal, characteristic, complemented
2C2×C3×#471C212yesmaximal, complemented
3C3×#3006C211yesmaximal, characteristic
4C2×C3×#448C211yesmaximal, characteristic, complemented
5C3×#2880C211yesmaximal, characteristic, complemented
6C3×#2052C212yesmaximal, complemented
7C3×#2019C212yesmaximal, complemented
8C3×#1908C212yesmaximal, complemented
9C3×#1900C211yesmaximal, characteristic, complemented
10C3×#1855C211yesmaximal, characteristic, complemented
11C3×#1784C211yesmaximal, characteristic, complemented
12#24401C311yesmaximal, characteristic, direct product factor, Sylow
13C22×C3×#41C2211yescharacteristic
14C23×C3×Q8C2211yescharacteristic
15C2×C3×#137—21no—
16C2×C3×#137—21no—
17C2×C3×#137—28no—
18C2×C3×#137C2212yes—
19C2×C3×#137C2212yes—
20C2×C3×AGL(1,ℤ/8)C2211yescharacteristic
21C2×C3×AGL(1,ℤ/8)C2211yescharacteristic
22C22×C3×Q16—21no—
23C22×C3×SD16—21no—
24C22×C3×SD16C2212yescomplemented
25C2×C3×#131C2212yes—
26C22×C3×M16C2211yescharacteristic
27C2×C3×#121C2211yescharacteristic
28C3×#471—28no—
29C3×#449—21no—
30C3×#449—21no—
31C3×#448—21no—
32C3×#448—21no—
33C3×#448—21no—
34C3×#448—22no—
35C3×#447—21no—
36C2×C3×#108C2212yescomplemented
37C3×#417C2211yescharacteristic
38C3×#417C2211yescharacteristic
39C2×C3×#103C2212yescomplemented
40C2×C3×#101C2212yescomplemented
41C2×C3×#101C2212yescomplemented
42C2×C3×#100C2212yescomplemented
43C3×#408—22no—
44C3×#408C2212yes—
45C3×#407—21no—
46C3×#407C2211yescharacteristic
47C3×#407C2211yescharacteristic
48C2×C3×C22⋊C8—21no—
49C2×C3×C22⋊C8C2211yescharacteristic
50C3×#343C2212yescomplemented
51C3×#341C2212yescomplemented
52C22×#137C2×C311yescharacteristic, complemented
53C2×#471C2×C312yescomplemented
54#3006C2×C311yescharacteristic
55C2×#448C2×C311yescharacteristic, complemented
56#2880C2×C311yescharacteristic, complemented
57#2052C2×C312yescomplemented
58#2019C2×C312yescomplemented
59#1908C2×C312yescomplemented
60#1900C2×C311yescharacteristic, complemented
61#1855C2×C311yescharacteristic, complemented
62#1784C2×C311yescharacteristic, complemented
63C2×C3×#41—21no—
64C2×C3×#41—21no—
65C2×C3×#41—24no—
66C2×C3×#41—42no—
67C2×C3×#41D411yescharacteristic
68C2×C3×#41D411yescharacteristic
69C2×C3×#41C2311yescharacteristic
70C2×C3×#41C2311yescharacteristic
71C22×C3×Q8—21no—
72C22×C3×Q8—24no—
73C22×C3×Q8—21no—
74C22×C3×Q8—21no—
75C22×C3×Q8—21no—
76C22×C3×Q8—21no—
77C22×C3×Q8—42no—
78C22×C3×Q8D411yescharacteristic
79C22×C3×Q8C2312yes—
80C22×C3×D4—21no—
81C22×C3×D4—21no—
82C22×C3×D4D411yescharacteristic
83C22×C3×D4C2311yescharacteristic
84C23×C3×C4—21no—
85C23×C3×C4—21no—
86C23×C3×C4C2311yescharacteristic
87C3×#137—28no—
88C3×#137—28no—
89C3×#137—24no—
90C3×#137—24no—
91C3×#137—24no—
92C3×#137D418yescomplemented
93C3×AGL(1,ℤ/8)—24no—
94C3×AGL(1,ℤ/8)—42no—
95C2×C3×Q16—28no—
96C2×C3×Q16—22no—
97C2×C3×Q16—22no—
98C2×C3×SD16—28no—
99C2×C3×SD16—22no—
100C2×C3×SD16—22no—
101C2×C3×SD16—24no—
102C2×C3×SD16—21no—
103C2×C3×SD16—21no—
104C2×C3×SD16—22no—
105C2×C3×SD16—22no—
106C2×C3×SD16—42no—
107C2×C3×D8—21no—
108C2×C3×D8—21no—
109C3×#131—24no—
110C3×#131—42no—
111C2×C3×M16—21no—
112C2×C3×M16—24no—
113C2×C3×M16—22no—
114C2×C3×M16C2312yes—
115C2×C3×M16C2311yescharacteristic
116C2×C3×M16C2311yescharacteristic
117C2×C3×M16C2312yes—
118C22×C3×C8—21no—
119C22×C3×C8—22no—
120C22×C3×C8C2312yes—
121C3×#121—21no—
122C3×#121—21no—
123C3×#121—21no—
124C3×#121—21no—
125C2×C3×C4⋊C4C2311yescharacteristic
126C2×C3×C22⋊C4—21no—
127C3×#108—24no—
128C3×#103—21no—
129C3×#103—21no—
130C3×#103—22no—
131C3×#103—22no—
132C3×#102—21no—
133C3×#102—21no—
134C3×#101—24no—
135C3×#101—42no—
136C3×#100—24no—
137C3×C22⋊C8—21no—
138C3×C22⋊C8—21no—
139C3×C22⋊C8—21no—
140C3×C22⋊C8—21no—
141C3×C22⋊C8—22no—
142C3×C22⋊C8—22no—
143C3×C22⋊C8D411yescharacteristic
144C3×C22⋊C8D411yescharacteristic
145C3×C22⋊C8D412yes—
146C22×#41C22×C311yescharacteristic
147C23×Q8C22×C311yescharacteristic
148C2×#137—21no—
149C2×#137—21no—
150C2×#137—28no—
151C2×#137C22×C312yes—
152C2×#137C22×C312yes—
153C2×AGL(1,ℤ/8)C22×C311yescharacteristic
154C2×AGL(1,ℤ/8)C22×C311yescharacteristic
155C22×Q16—21no—
156C22×SD16—21no—
157C22×SD16C22×C312yescomplemented
158C2×#131C22×C312yes—
159C22×M16C22×C311yescharacteristic
160C2×#121C22×C311yescharacteristic
161#471—28no—
162#449—21no—
163#449—21no—
164#448—21no—
165#448—21no—
166#448—21no—
167#448—22no—
168#447—21no—
169C2×#108C22×C312yescomplemented
170#417C22×C311yescharacteristic
171#417C22×C311yescharacteristic
172C2×#103C22×C312yescomplemented
173C2×#101C22×C312yescomplemented
174C2×#101C22×C312yescomplemented
175C2×#100C22×C312yescomplemented
176#408—22no—
177#408C22×C312yes—
178#407—21no—
179#407C22×C311yescharacteristic
180#407C22×C311yescharacteristic
181C2×C22⋊C8—21no—
182C2×C22⋊C8C22×C311yescharacteristic
183#343C22×C312yescomplemented
184#341C22×C312yescomplemented
185C24×C3—21no—
186C24×C3—21no—
187C24×C3#4111yescharacteristic
188C3×#41—22no—
189C3×#41—22no—
190C3×#41—22no—
191C3×#41—22no—
192C3×#41—22no—
193C3×#41—44no—
194C3×#41—41no—
195C3×#41—41no—
196C3×#41—44no—
197C3×#41C2×D414yes—
198C2×C3×Q8—21no—
199C2×C3×Q8—22no—
200C2×C3×Q8—24no—
201C2×C3×Q8—24no—
202C2×C3×Q8—22no—
203C2×C3×Q8—22no—
204C2×C3×Q8—22no—
205C2×C3×Q8—22no—
206C2×C3×Q8—22no—
207C2×C3×Q8—44no—
208C2×C3×Q8—41no—
209C2×C3×Q8—44no—
210C2×C3×Q8—44no—
211C2×C3×Q8—42no—
212C2×C3×Q8—42no—
213C2×C3×Q8—41no—
214C2×C3×Q8—41no—
215C2×C3×Q8C2×D414yes—
216C2×C3×Q8C2×D411yescharacteristic
217C2×C3×Q8C2×D411yescharacteristic
218C2×C3×D4—21no—
219C2×C3×D4—22no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—22no—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—22no—
228C2×C3×D4—41no—
229C2×C3×D4—44no—
230C2×C3×D4—41no—
231C2×C3×D4—41no—
232C2×C3×D4—82no—
233C2×C3×D4C2×D411yescharacteristic
234C2×C3×D4C2×D411yescharacteristic
235C22×C3×C4—21no—
236C22×C3×C4—22no—
237C22×C3×C4—22no—
238C22×C3×C4—21no—
239C22×C3×C4—22no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—44no—
245C22×C3×C4—44no—
246C22×C3×C4—41no—
247C22×C3×C4—41no—
248C22×C3×C4C2×D411yescharacteristic
249C22×C3×C4C2×D411yescharacteristic
250C22×C3×C4C2×D411yescharacteristic
251C22×C3×C4C2×D411yescharacteristic
252C22×C3×C4#4111yescharacteristic
253C22×C3×C4C2411yescharacteristic
254C3×Q16—28no—
255C3×Q16—28no—
256C3×SD16—28no—
257C3×SD16—28no—
258C3×SD16—44no—
259C3×SD16—44no—
260C3×SD16—42no—
261C3×SD16—42no—
262C3×D8—42no—
263C3×D8—42no—
264C3×M16—24no—
265C3×M16—22no—
266C3×M16—22no—
267C3×M16—22no—
268C3×M16—22no—
269C3×M16—22no—
270C3×M16—44no—
271C3×M16C2×D414yes—
272C2×C3×C8—24no—
273C2×C3×C8—22no—
274C2×C3×C8—22no—
275C2×C3×C8—22no—
276C2×C3×C8—22no—
277C2×C3×C8—21no—
278C2×C3×C8—21no—
279C2×C3×C8—44no—
280C2×C3×C8C2×D412yes—
281C2×C3×C8C2×D412yes—
282C3×C4⋊C4—21no—
283C3×C4⋊C4—21no—
284C3×C22⋊C4—41no—
285C3×C22⋊C4—41no—
286C2×#41—21no—
287C2×#41—21no—
288C2×#41—24no—
289C2×#41—42no—
290C2×#41C3×D411yescharacteristic
291C2×#41C3×D411yescharacteristic
292C2×#41C23×C311yescharacteristic
293C2×#41C23×C311yescharacteristic
294C22×Q8—21no—
295C22×Q8—24no—
296C22×Q8—21no—
297C22×Q8—21no—
298C22×Q8—21no—
299C22×Q8—21no—
300C22×Q8—42no—
301C22×Q8C3×D411yescharacteristic
302C22×Q8C23×C312yes—
303C22×D4—21no—
304C22×D4—21no—
305C22×D4C3×D411yescharacteristic
306C22×D4C23×C311yescharacteristic
307C23×C4—21no—
308C23×C4—21no—
309C23×C4C23×C311yescharacteristic
310#137—28no—
311#137—28no—
312#137—24no—
313#137—24no—
314#137—24no—
315#137C3×D418yescomplemented
316AGL(1,ℤ/8)—24no—
317AGL(1,ℤ/8)—42no—
318C2×Q16—28no—
319C2×Q16—22no—
320C2×Q16—22no—
321C2×SD16—28no—
322C2×SD16—22no—
323C2×SD16—22no—
324C2×SD16—24no—
325C2×SD16—21no—
326C2×SD16—21no—
327C2×SD16—22no—
328C2×SD16—22no—
329C2×SD16—42no—
330C2×D8—21no—
331C2×D8—21no—
332#131—24no—
333#131—42no—
334C2×M16—21no—
335C2×M16—24no—
336C2×M16—22no—
337C2×M16C23×C312yes—
338C2×M16C23×C311yescharacteristic
339C2×M16C23×C311yescharacteristic
340C2×M16C23×C312yes—
341C22×C8—21no—
342C22×C8—22no—
343C22×C8C23×C312yes—
344#121—21no—
345#121—21no—
346#121—21no—
347#121—21no—
348C2×C4⋊C4C23×C311yescharacteristic
349C2×C22⋊C4—21no—
350#108—24no—
351#103—21no—
352#103—21no—
353#103—22no—
354#103—22no—
355#102—21no—
356#102—21no—
357#101—24no—
358#101—42no—
359#100—24no—
360C22⋊C8—21no—
361C22⋊C8—21no—
362C22⋊C8—21no—
363C22⋊C8—21no—
364C22⋊C8—22no—
365C22⋊C8—22no—
366C22⋊C8C3×D411yescharacteristic
367C22⋊C8C3×D411yescharacteristic
368C22⋊C8C3×D412yes—
369C23×C3—21no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—21no—
373C23×C3—41no—
374C23×C3—42no—
375C23×C3—42no—
376C23×C3—41no—
377C23×C3—42no—
378C23×C3—81no—
379C23×C3—81no—
380C23×C3—81no—
381C23×C3#12111yescharacteristic
382C23×C3#12111yescharacteristic
383C23×C3C2×#4111yescharacteristic
384C3×Q8—21no—
385C3×Q8—24no—
386C3×Q8—21no—
387C3×Q8—21no—
388C3×Q8—24no—
389C3×Q8—42no—
390C3×Q8—44no—
391C3×Q8—44no—
392C3×Q8—42no—
393C3×Q8—42no—
394C3×Q8#12012yes—
395C3×D4—24no—
396C3×D4—21no—
397C3×D4—21no—
398C3×D4—21no—
399C3×D4—42no—
400C3×D4—42no—
401C3×D4—42no—
402C3×D4—42no—
403C3×D4—41no—
404C3×D4—41no—
405C3×D4—42no—
406C3×D4—82no—
407C3×D4—82no—
408C3×D4#12012yes—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—24no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—24no—
420C2×C3×C4—42no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—44no—
424C2×C3×C4—44no—
425C2×C3×C4—42no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—41no—
429C2×C3×C4—81no—
430C2×C3×C4#12111yescharacteristic
431C2×C3×C4#12111yescharacteristic
432C2×C3×C4C22×D411yescharacteristic
433C2×C3×C4C22×D412yes—
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4H(5,𝔽2)12yes—
436C3×C8—24no—
437C3×C8—22no—
438C3×C8—22no—
439C3×C8—41no—
440C3×C8—41no—
441C3×C8—42no—
442C24—21no—
443C24—21no—
444C24C3×#4111yescharacteristic
445#41—22no—
446#41—22no—
447#41—22no—
448#41—22no—
449#41—22no—
450#41—44no—
451#41—41no—
452#41—41no—
453#41—44no—
454#41C2×C3×D414yes—
455C2×Q8—21no—
456C2×Q8—22no—
457C2×Q8—24no—
458C2×Q8—24no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—44no—
465C2×Q8—41no—
466C2×Q8—44no—
467C2×Q8—44no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—41no—
471C2×Q8—41no—
472C2×Q8C2×C3×D414yes—
473C2×Q8C2×C3×D411yescharacteristic
474C2×Q8C2×C3×D411yescharacteristic
475C2×D4—21no—
476C2×D4—22no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—22no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—22no—
485C2×D4—41no—
486C2×D4—44no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—82no—
490C2×D4C2×C3×D411yescharacteristic
491C2×D4C2×C3×D411yescharacteristic
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4C2×C3×D411yescharacteristic
506C22×C4C2×C3×D411yescharacteristic
507C22×C4C2×C3×D411yescharacteristic
508C22×C4C2×C3×D411yescharacteristic
509C22×C4C3×#4111yescharacteristic
510C22×C4C24×C311yescharacteristic
511Q16—28no—
512Q16—28no—
513SD16—28no—
514SD16—28no—
515SD16—44no—
516SD16—44no—
517SD16—42no—
518SD16—42no—
519D8—42no—
520D8—42no—
521M16—24no—
522M16—22no—
523M16—22no—
524M16—22no—
525M16—22no—
526M16—22no—
527M16—44no—
528M16C2×C3×D414yes—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—44no—
537C2×C8C2×C3×D412yes—
538C2×C8C2×C3×D412yes—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—21no—
547C22×C3—21no—
548C22×C3—22no—
549C22×C3—21no—
550C22×C3—21no—
551C22×C3—44no—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—41no—
557C22×C3—84no—
558C22×C3—81no—
559C22×C3—81no—
560C22×C3—81no—
561C22×C3—162no—
562C22×C3#47112yescomplemented
563C22×C3C2×#12111yescharacteristic
564C22×C3#54612yes—
565C3×C4—21no—
566C3×C4—21no—
567C3×C4—22no—
568C3×C4—41no—
569C3×C4—44no—
570C3×C4—81no—
571C3×C4C2×#12011yescharacteristic
572C3×C4#53411yescharacteristic
573C3×C4D4212yes—
574C23—21no—
575C23—22no—
576C23—22no—
577C23—21no—
578C23—41no—
579C23—42no—
580C23—42no—
581C23—41no—
582C23—42no—
583C23—81no—
584C23—81no—
585C23—81no—
586C23C3×#12111yescharacteristic
587C23C3×#12111yescharacteristic
588C23C2×C3×#4111yescharacteristic
589Q8—21no—
590Q8—24no—
591Q8—21no—
592Q8—21no—
593Q8—24no—
594Q8—42no—
595Q8—44no—
596Q8—44no—
597Q8—42no—
598Q8—42no—
599Q8C3×#12012yes—
600D4—24no—
601D4—21no—
602D4—21no—
603D4—21no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—42no—
608D4—41no—
609D4—41no—
610D4—42no—
611D4—82no—
612D4—82no—
613D4C3×#12012yes—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—24no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—81no—
635C2×C4C3×#12111yescharacteristic
636C2×C4C3×#12111yescharacteristic
637C2×C4C22×C3×D411yescharacteristic
638C2×C4C22×C3×D412yes—
639C2×C4C22×C3×D411yescharacteristic
640C2×C4C3×H(5,𝔽2)12yes—
641C8—24no—
642C8—22no—
643C8—22no—
644C8—41no—
645C8—41no—
646C8—42no—
647C2×C3—22no—
648C2×C3—22no—
649C2×C3—41no—
650C2×C3—42no—
651C2×C3—81no—
652C2×C3—161no—
653C2×C3#241011yescharacteristic
654C2×C3C2×#47111yescharacteristic
655C2×C3#306911yescharacteristic
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—22no—
662C22—21no—
663C22—21no—
664C22—44no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—84no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—162no—
675C22C3×#47112yescomplemented
676C22C2×C3×#12111yescharacteristic
677C22C3×#54612yes—
678C4—21no—
679C4—21no—
680C4—22no—
681C4—41no—
682C4—44no—
683C4—81no—
684C4C2×C3×#12011yescharacteristic
685C4C3×#53411yescharacteristic
686C4C3×D4212yes—
687C3#2440111yescharacteristic, direct product factor, Sylow
688C2—22no—
689C2—22no—
690C2—41no—
691C2—42no—
692C2—81no—
693C2—161no—
694C2C3×#241011yescharacteristic
695C2C2×C3×#47111yescharacteristic
696C2C3×#306911yescharacteristic
subgroupG/H
center, socleC22×C3C2×#121
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC3×#3006C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C3×#137C2semidirect
2. C2×C3×#471C2semidirect
4. C2×C3×#448C2semidirect
5. C3×#2880C2semidirect
6. C3×#2052C2semidirect
7. C3×#2019C2semidirect
8. C3×#1908C2semidirect
9. C3×#1900C2semidirect
10. C3×#1855C2semidirect
11. C3×#1784C2semidirect
12. #24401C3direct (N × H)
24. C22×C3×SD16C22semidirect
36. C2×C3×#108C22semidirect
39. C2×C3×#103C22semidirect
40. C2×C3×#101C22semidirect
41. C2×C3×#101C22semidirect
42. C2×C3×#100C22semidirect
50. C3×#343C22semidirect
51. C3×#341C22semidirect
52. C22×#137C2×C3semidirect
53. C2×#471C2×C3semidirect
55. C2×#448C2×C3semidirect
56. #2880C2×C3semidirect
57. #2052C2×C3semidirect
58. #2019C2×C3semidirect
59. #1908C2×C3semidirect
60. #1900C2×C3semidirect
61. #1855C2×C3semidirect
62. #1784C2×C3semidirect
92. C3×#137D4semidirect
157. C22×SD16C22×C3semidirect
169. C2×#108C22×C3semidirect
172. C2×#103C22×C3semidirect
173. C2×#101C22×C3semidirect
174. C2×#101C22×C3semidirect
175. C2×#100C22×C3semidirect
183. #343C22×C3semidirect
184. #341C22×C3semidirect
315. #137C3×D4semidirect
562. C22×C3#471semidirect
675. C22C3×#471semidirect
687. C3#24401direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#1372
C2×C3×#4712
C3×#30062
C2×C3×#4482
C3×#28802
C3×#20522
C3×#20192
C3×#19082
C3×#19002
C3×#18552
C3×#17842
#244013