Finite Group Databasebeta

← C3×#29614 #10648221

Subgroups — C3×#29614 #10648221

Order 768.

1344 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3449C211yesmaximal, characteristic, complemented
2C3×#3094C211yesmaximal, characteristic, complemented
3C3×#3006C211yesmaximal, characteristic, complemented
4C3×#2431C211yesmaximal, characteristic, complemented
5C3×#2038C212yesmaximal, complemented
6C3×#2037C212yesmaximal, complemented
7C3×#2003C212yesmaximal, complemented
8C3×#2002C212yesmaximal, complemented
9C3×#1826C211yesmaximal, characteristic, complemented
10C3×#1789C211yesmaximal, characteristic, complemented
11C3×#1785C211yesmaximal, characteristic, complemented
12#29614C311yesmaximal, characteristic, direct product factor, Sylow
13C22×C3×#41C2211yescharacteristic
14C22×C3×#41C2211yescharacteristic
15C2×C3×AGL(1,ℤ/8)C2212yes—
16C3×#537—21no—
17C3×#537—21no—
18C3×#536—21no—
19C3×#536C2212yes—
20C3×#535—21no—
21C3×#535C2212yes—
22C3×#534—22no—
23C3×#532—22no—
24C2×C3×#127C2211yescharacteristic, complemented
25C2×C3×#124C2211yescharacteristic, complemented
26C3×#525—22no—
27C3×#525—22no—
28C2×C3×#121C2211yescharacteristic
29C2×C3×#117C2211yescharacteristic
30C3×#482—22no—
31C3×#481—21no—
32C3×#480—21no—
33C3×#449—22no—
34C3×#448—21no—
35C3×#447—21no—
36C3×#428C2212yescomplemented
37C2×C3×#104C2212yes—
38C2×C3×#104C2212yes—
39C3×#418C2212yescomplemented
40C3×#417C2212yes—
41C2×C3×#101C2212yescomplemented
42C2×C3×#100C2212yescomplemented
43C3×#407C2211yescharacteristic
44C3×#407C2211yescharacteristic
45C3×#392—22no—
46C3×#391C2211yescharacteristic, complemented
47C3×#390C2211yescharacteristic, complemented
48C3×#386—22no—
49C3×C4×C22⋊C4C2211yescharacteristic
50C3×#339C2212yescomplemented
51C3×#339C2212yescomplemented
52#3449C2×C311yescharacteristic, complemented
53#3094C2×C311yescharacteristic, complemented
54#3006C2×C311yescharacteristic, complemented
55#2431C2×C311yescharacteristic, complemented
56#2038C2×C312yescomplemented
57#2037C2×C312yescomplemented
58#2003C2×C312yescomplemented
59#2002C2×C312yescomplemented
60#1826C2×C311yescharacteristic, complemented
61#1789C2×C311yescharacteristic, complemented
62#1785C2×C311yescharacteristic, complemented
63C2×C3×#41—21no—
64C2×C3×#41—21no—
65C2×C3×#41—21no—
66C2×C3×#41—21no—
67C2×C3×#41—21no—
68C2×C3×#41—21no—
69C2×C3×#41—42no—
70C2×C3×#41—42no—
71C2×C3×#41—42no—
72C2×C3×#41—42no—
73C2×C3×#41D412yescomplemented
74C2×C3×#41C2312yes—
75C22×C3×Q8D411yescharacteristic, complemented
76C22×C3×Q8C2311yescharacteristic
77C22×C3×D4—21no—
78C22×C3×D4—22no—
79C22×C3×D4—21no—
80C22×C3×D4D412yes—
81C22×C3×D4D411yescharacteristic, complemented
82C22×C3×D4C2311yescharacteristic
83C22×C3×D4C2311yescharacteristic
84C23×C3×C4—21no—
85C23×C3×C4D412yes—
86C23×C3×C4C2311yescharacteristic
87C3×AGL(1,ℤ/8)—42no—
88C3×AGL(1,ℤ/8)—42no—
89C2×C3×SD16—22no—
90C2×C3×D8—22no—
91C2×C3×M16C2312yes—
92C2×C3×M16C2312yes—
93C3×C4⋊Q8—22no—
94C3×#127—22no—
95C3×#127—42no—
96C3×#124—22no—
97C3×#124—22no—
98C3×#124—42no—
99C3×#123—24no—
100C3×#123—24no—
101C3×C22⋊Q8—22no—
102C3×C22⋊Q8—22no—
103C3×C22⋊Q8—22no—
104C3×C22⋊Q8—22no—
105C3×#121—22no—
106C3×#121—22no—
107C3×#121—24no—
108C3×#121—24no—
109C3×#121—22no—
110C3×#121—22no—
111C3×#121—21no—
112C3×#121—21no—
113C3×#121—21no—
114C3×#121—21no—
115C3×#120—24no—
116C3×#120—24no—
117C3×C4×D4—24no—
118C3×C4×D4—24no—
119C3×#117—21no—
120C3×#117—21no—
121C3×#117D412yescomplemented
122C3×#117C2312yes—
123C2×C3×C4⋊C4D411yescharacteristic, complemented
124C2×C3×C4⋊C4D411yescharacteristic, complemented
125C2×C3×C4⋊C4C2311yescharacteristic
126C2×C3×C22⋊C4—21no—
127C2×C3×C22⋊C4—21no—
128C2×C3×C22⋊C4—21no—
129C2×C3×C22⋊C4—22no—
130C2×C3×C22⋊C4—22no—
131C2×C3×C42—21no—
132C2×C3×C42C2311yescharacteristic
133C2×C3×C42C2311yescharacteristic
134C3×#107—22no—
135C3×#106—22no—
136C3×#104—42no—
137C3×#104—42no—
138C3×#103—22no—
139C3×#102—22no—
140C3×#102—22no—
141C3×#102—22no—
142C3×#101—42no—
143C3×#100—42no—
144C3×C22⋊C8—21no—
145C3×C22⋊C8—21no—
146C3×C22⋊C8—21no—
147C3×C22⋊C8—21no—
148C3×#95—21no—
149C3×#95—22no—
150C22×#41C22×C311yescharacteristic
151C22×#41C22×C311yescharacteristic
152C2×AGL(1,ℤ/8)C22×C312yes—
153#537—21no—
154#537—21no—
155#536—21no—
156#536C22×C312yes—
157#535—21no—
158#535C22×C312yes—
159#534—22no—
160#532—22no—
161C2×#127C22×C311yescharacteristic, complemented
162C2×#124C22×C311yescharacteristic, complemented
163#525—22no—
164#525—22no—
165C2×#121C22×C311yescharacteristic
166C2×#117C22×C311yescharacteristic
167#482—22no—
168#481—21no—
169#480—21no—
170#449—22no—
171#448—21no—
172#447—21no—
173#428C22×C312yescomplemented
174C2×#104C22×C312yes—
175C2×#104C22×C312yes—
176#418C22×C312yescomplemented
177#417C22×C312yes—
178C2×#101C22×C312yescomplemented
179C2×#100C22×C312yescomplemented
180#407C22×C311yescharacteristic
181#407C22×C311yescharacteristic
182#392—22no—
183#391C22×C311yescharacteristic, complemented
184#390C22×C311yescharacteristic, complemented
185#386—22no—
186C4×C22⋊C4C22×C311yescharacteristic
187#339C22×C312yescomplemented
188#339C22×C312yescomplemented
189C24×C3—21no—
190C24×C3—21no—
191C24×C3C2×D412yes—
192C24×C3C2×D411yescharacteristic
193C3×#41—22no—
194C3×#41—22no—
195C3×#41—22no—
196C3×#41—22no—
197C3×#41—42no—
198C3×#41—42no—
199C3×#41—42no—
200C3×#41—42no—
201C3×#41—44no—
202C3×#41—44no—
203C3×#41—44no—
204C3×#41—44no—
205C3×#41—44no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×Q8—21no—
209C2×C3×Q8—22no—
210C2×C3×Q8—22no—
211C2×C3×Q8—42no—
212C2×C3×Q8C2×D412yes—
213C2×C3×D4—22no—
214C2×C3×D4—22no—
215C2×C3×D4—22no—
216C2×C3×D4—22no—
217C2×C3×D4—24no—
218C2×C3×D4—24no—
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—22no—
225C2×C3×D4—22no—
226C2×C3×D4—22no—
227C2×C3×D4—22no—
228C2×C3×D4—42no—
229C2×C3×D4—42no—
230C2×C3×D4—42no—
231C2×C3×D4—44no—
232C2×C3×D4—42no—
233C2×C3×D4—42no—
234C2×C3×D4—44no—
235C2×C3×D4—41no—
236C2×C3×D4—41no—
237C2×C3×D4—82no—
238C2×C3×D4—82no—
239C2×C3×D4C2×D412yes—
240C22×C3×C4—22no—
241C22×C3×C4—22no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—22no—
247C22×C3×C4—22no—
248C22×C3×C4—22no—
249C22×C3×C4—22no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—42no—
253C22×C3×C4—42no—
254C22×C3×C4—44no—
255C22×C3×C4C2×D412yes—
256C22×C3×C4C2×D411yescharacteristic
257C22×C3×C4C2×D411yescharacteristic
258C22×C3×C4C2×D411yescharacteristic
259C22×C3×C4C2×D411yescharacteristic
260C22×C3×C4C2×D411yescharacteristic
261C22×C3×C4C2411yescharacteristic
262C3×SD16—44no—
263C3×D8—44no—
264C3×M16—22no—
265C3×M16—22no—
266C3×M16—22no—
267C3×M16—22no—
268C2×C3×C8—22no—
269C2×C3×C8—22no—
270C3×C4⋊C4—24no—
271C3×C4⋊C4—24no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4C2×D412yes—
277C3×C4⋊C4C2×D412yes—
278C3×C22⋊C4—24no—
279C3×C22⋊C4—24no—
280C3×C22⋊C4—24no—
281C3×C22⋊C4—24no—
282C3×C22⋊C4—22no—
283C3×C22⋊C4—22no—
284C3×C22⋊C4—42no—
285C3×C22⋊C4—44no—
286C3×C22⋊C4—41no—
287C3×C22⋊C4—41no—
288C3×C22⋊C4—82no—
289C3×C42—22no—
290C3×C42—22no—
291C3×C42—22no—
292C3×C42—22no—
293C2×#41—21no—
294C2×#41—21no—
295C2×#41—21no—
296C2×#41—21no—
297C2×#41—21no—
298C2×#41—21no—
299C2×#41—42no—
300C2×#41—42no—
301C2×#41—42no—
302C2×#41—42no—
303C2×#41C3×D412yescomplemented
304C2×#41C23×C312yes—
305C22×Q8C3×D411yescharacteristic, complemented
306C22×Q8C23×C311yescharacteristic
307C22×D4—21no—
308C22×D4—22no—
309C22×D4—21no—
310C22×D4C3×D412yes—
311C22×D4C3×D411yescharacteristic, complemented
312C22×D4C23×C311yescharacteristic
313C22×D4C23×C311yescharacteristic
314C23×C4—21no—
315C23×C4C3×D412yes—
316C23×C4C23×C311yescharacteristic
317AGL(1,ℤ/8)—42no—
318AGL(1,ℤ/8)—42no—
319C2×SD16—22no—
320C2×D8—22no—
321C2×M16C23×C312yes—
322C2×M16C23×C312yes—
323C4⋊Q8—22no—
324#127—22no—
325#127—42no—
326#124—22no—
327#124—22no—
328#124—42no—
329#123—24no—
330#123—24no—
331C22⋊Q8—22no—
332C22⋊Q8—22no—
333C22⋊Q8—22no—
334C22⋊Q8—22no—
335#121—22no—
336#121—22no—
337#121—24no—
338#121—24no—
339#121—22no—
340#121—22no—
341#121—21no—
342#121—21no—
343#121—21no—
344#121—21no—
345#120—24no—
346#120—24no—
347C4×D4—24no—
348C4×D4—24no—
349#117—21no—
350#117—21no—
351#117C3×D412yescomplemented
352#117C23×C312yes—
353C2×C4⋊C4C3×D411yescharacteristic, complemented
354C2×C4⋊C4C3×D411yescharacteristic, complemented
355C2×C4⋊C4C23×C311yescharacteristic
356C2×C22⋊C4—21no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C42—21no—
362C2×C42C23×C311yescharacteristic
363C2×C42C23×C311yescharacteristic
364#107—22no—
365#106—22no—
366#104—42no—
367#104—42no—
368#103—22no—
369#102—22no—
370#102—22no—
371#102—22no—
372#101—42no—
373#100—42no—
374C22⋊C8—21no—
375C22⋊C8—21no—
376C22⋊C8—21no—
377C22⋊C8—21no—
378#95—21no—
379#95—22no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—42no—
389C23×C3—42no—
390C23×C3—42no—
391C23×C3—42no—
392C23×C3—42no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—81no—
397C23×C3—81no—
398C23×C3#12011yescharacteristic
399C23×C3#12011yescharacteristic
400C23×C3C22×D411yescharacteristic
401C3×Q8—22no—
402C3×Q8—22no—
403C3×Q8—42no—
404C3×Q8—42no—
405C3×Q8—42no—
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—42no—
409C3×D4—44no—
410C3×D4—44no—
411C3×D4—44no—
412C3×D4—42no—
413C3×D4—42no—
414C3×D4—42no—
415C3×D4—42no—
416C3×D4—42no—
417C3×D4—42no—
418C3×D4—84no—
419C3×D4—84no—
420C3×D4—88no—
421C3×D4—82no—
422C3×D4—82no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—44no—
437C2×C3×C4—44no—
438C2×C3×C4—44no—
439C2×C3×C4—42no—
440C2×C3×C4—41no—
441C2×C3×C4—41no—
442C2×C3×C4—42no—
443C2×C3×C4—42no—
444C2×C3×C4—41no—
445C2×C3×C4—41no—
446C2×C3×C4—42no—
447C2×C3×C4—41no—
448C2×C3×C4—41no—
449C2×C3×C4—81no—
450C2×C3×C4—81no—
451C2×C3×C4#12011yescharacteristic
452C2×C3×C4#12011yescharacteristic
453C2×C3×C4C22×D411yescharacteristic
454C2×C3×C4C22×D411yescharacteristic
455C2×C3×C4H(5,𝔽2)12yes—
456C2×C3×C4H(5,𝔽2)12yes—
457C3×C8—42no—
458C3×C8—42no—
459C24—21no—
460C24—21no—
461C24C2×C3×D412yes—
462C24C2×C3×D411yescharacteristic
463#41—22no—
464#41—22no—
465#41—22no—
466#41—22no—
467#41—42no—
468#41—42no—
469#41—42no—
470#41—42no—
471#41—44no—
472#41—44no—
473#41—44no—
474#41—44no—
475#41—44no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—42no—
482C2×Q8C2×C3×D412yes—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—44no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—82no—
508C2×D4—82no—
509C2×D4C2×C3×D412yes—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—44no—
525C22×C4C2×C3×D412yes—
526C22×C4C2×C3×D411yescharacteristic
527C22×C4C2×C3×D411yescharacteristic
528C22×C4C2×C3×D411yescharacteristic
529C22×C4C2×C3×D411yescharacteristic
530C22×C4C2×C3×D411yescharacteristic
531C22×C4C24×C311yescharacteristic
532SD16—44no—
533D8—44no—
534M16—22no—
535M16—22no—
536M16—22no—
537M16—22no—
538C2×C8—22no—
539C2×C8—22no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4C2×C3×D412yes—
547C4⋊C4C2×C3×D412yes—
548C22⋊C4—24no—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—44no—
555C22⋊C4—42no—
556C22⋊C4—41no—
557C22⋊C4—41no—
558C22⋊C4—82no—
559C42—22no—
560C42—22no—
561C42—22no—
562C42—22no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—44no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3—82no—
581C22×C3—82no—
582C22×C3—82no—
583C22×C3—84no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3C2×#12011yescharacteristic
588C22×C3#53411yescharacteristic
589C22×C3#53411yescharacteristic
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—42no—
593C3×C4—42no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4—81no—
598C3×C4—81no—
599C3×C4#53412yes—
600C3×C4#53512yes—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—81no—
618C23—81no—
619C23C3×#12011yescharacteristic
620C23C3×#12011yescharacteristic
621C23C22×C3×D411yescharacteristic
622Q8—22no—
623Q8—22no—
624Q8—42no—
625Q8—42no—
626Q8—42no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—84no—
640D4—84no—
641D4—88no—
642D4—82no—
643D4—82no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4C3×#12011yescharacteristic
673C2×C4C3×#12011yescharacteristic
674C2×C4C22×C3×D411yescharacteristic
675C2×C4C22×C3×D411yescharacteristic
676C2×C4C3×H(5,𝔽2)12yes—
677C2×C4C3×H(5,𝔽2)12yes—
678C8—42no—
679C8—42no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—41no—
683C2×C3—41no—
684C2×C3—82no—
685C2×C3—82no—
686C2×C3—161no—
687C2×C3#261311yescharacteristic
688C2×C3#301811yescharacteristic
689C2×C3#302111yescharacteristic
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—44no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—84no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22C2×C3×#12011yescharacteristic
715C22C3×#53411yescharacteristic
716C22C3×#53411yescharacteristic
717C4—21no—
718C4—21no—
719C4—42no—
720C4—42no—
721C4—42no—
722C4—42no—
723C4—42no—
724C4—81no—
725C4—81no—
726C4C3×#53412yes—
727C4C3×#53512yes—
728C3#2961411yescharacteristic, direct product factor, Sylow
729C2—21no—
730C2—21no—
731C2—41no—
732C2—41no—
733C2—82no—
734C2—82no—
735C2—161no—
736C2C3×#261311yescharacteristic
737C2C3×#301811yescharacteristic
738C2C3×#302111yescharacteristic
subgroupG/H
center, socleC22×C3C2×#120
commutator, Frattini, cosocleC22×C4C24×C3
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. C3×#3449C2semidirect
2. C3×#3094C2semidirect
3. C3×#3006C2semidirect
4. C3×#2431C2semidirect
5. C3×#2038C2semidirect
6. C3×#2037C2semidirect
7. C3×#2003C2semidirect
8. C3×#2002C2semidirect
9. C3×#1826C2semidirect
10. C3×#1789C2semidirect
11. C3×#1785C2semidirect
12. #29614C3direct (N × H)
24. C2×C3×#127C22semidirect
25. C2×C3×#124C22semidirect
36. C3×#428C22semidirect
39. C3×#418C22semidirect
41. C2×C3×#101C22semidirect
42. C2×C3×#100C22semidirect
46. C3×#391C22semidirect
47. C3×#390C22semidirect
50. C3×#339C22semidirect
51. C3×#339C22semidirect
52. #3449C2×C3semidirect
53. #3094C2×C3semidirect
54. #3006C2×C3semidirect
55. #2431C2×C3semidirect
56. #2038C2×C3semidirect
57. #2037C2×C3semidirect
58. #2003C2×C3semidirect
59. #2002C2×C3semidirect
60. #1826C2×C3semidirect
61. #1789C2×C3semidirect
62. #1785C2×C3semidirect
73. C2×C3×#41D4semidirect
75. C22×C3×Q8D4semidirect
81. C22×C3×D4D4semidirect
121. C3×#117D4semidirect
123. C2×C3×C4⋊C4D4semidirect
124. C2×C3×C4⋊C4D4semidirect
161. C2×#127C22×C3semidirect
162. C2×#124C22×C3semidirect
173. #428C22×C3semidirect
176. #418C22×C3semidirect
178. C2×#101C22×C3semidirect
179. C2×#100C22×C3semidirect
183. #391C22×C3semidirect
184. #390C22×C3semidirect
187. #339C22×C3semidirect
188. #339C22×C3semidirect
303. C2×#41C3×D4semidirect
305. C22×Q8C3×D4semidirect
311. C22×D4C3×D4semidirect
351. #117C3×D4semidirect
353. C2×C4⋊C4C3×D4semidirect
354. C2×C4⋊C4C3×D4semidirect
728. C3#29614direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#34492
C3×#30942
C3×#30062
C3×#24312
C3×#20382
C3×#20372
C3×#20032
C3×#20022
C3×#18262
C3×#17892
C3×#17852
#296143