Finite Group Databasebeta

← C3×#72037 #11787530

Subgroups — C3×#72037 #11787530

Order 1152.

1045 conjugacy classes of subgroups.

The subgroup lattice has 679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×D8C211yesmaximal, characteristic
2C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
3C3×#5221C211yesmaximal, characteristic, complemented
4C2×C3×#832C211yesmaximal, characteristic, complemented
5C2×C3×#832C211yesmaximal, characteristic, complemented
6C3×#4551C211yesmaximal, characteristic, complemented
7C3×#4550C211yesmaximal, characteristic, complemented
8C3×#1879—31nomaximal
9#72037C311yesmaximal, characteristic, direct product factor
10C22×C32×D4C2211yescharacteristic
11C22×C32×D4C2211yescharacteristic
12C23×C3×Dic3—21no—
13C2×C32×D8—22no—
14C2×C32×D8—22no—
15C2×C32×D8C414yescomplemented
16C22×C32×C8C2211yescharacteristic
17C2×C3×#217—21no—
18C2×C3×#217—21no—
19C2×C3×#217—21no—
20C3×D4×Dic3—22no—
21C3×D4×Dic3—22no—
22C2×C3×C4⋊Dic3C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×C4×Dic3C2211yescharacteristic
25C22×C3×C3⋊C8C2211yescharacteristic
26C3×#832—22no—
27C3×#832—22no—
28C22×C3×D8—21no—
29C22×C3×D8D311yescharacteristic
30C22×C3×D8C2×C311yescharacteristic
31C2×C3×C4×D4—31no—
32C2×D4×Dic3C2×C311yescharacteristic, complemented
33C2×C3×#102—31no—
34C2×C3×#102—31no—
35C3×#390—31no—
36#5221C2×C311yescharacteristic, complemented
37C2×#832C2×C311yescharacteristic, complemented
38C2×#832C2×C311yescharacteristic, complemented
39C3×#340—31no—
40C3×#336—31no—
41#4551C2×C311yescharacteristic, complemented
42#4550C2×C311yescharacteristic, complemented
43C24×C32—21no—
44C24×C32—21no—
45C2×C32×D4—21no—
46C2×C32×D4—21no—
47C2×C32×D4—21no—
48C2×C32×D4—21no—
49C2×C32×D4—21no—
50C2×C32×D4—21no—
51C2×C32×D4—21no—
52C2×C32×D4—21no—
53C2×C32×D4C2×C412yes—
54C2×C32×D4C2×C412yescomplemented
55C2×C32×D4D412yes—
56C2×C32×D4D412yes—
57C22×C32×C4C2311yescharacteristic
58C22×C3×Dic3—24no—
59C22×C3×Dic3—21no—
60C22×C3×Dic3—21no—
61C22×C3×Dic3—42no—
62C22×C3×Dic3—42no—
63C22×C3×Dic3D411yescharacteristic
64C22×C3×Dic3D411yescharacteristic
65C32×D8—28no—
66C2×C32×C8—21no—
67C2×C32×C8—21no—
68C2×C32×C8C2×C412yescomplemented
69C3×#217—24no—
70C3×#217—42no—
71C3×#217—42no—
72C3×C4⋊Dic3—21no—
73C3×C4⋊Dic3—21no—
74C3×C4⋊Dic3—21no—
75C3×C4⋊Dic3D412yes—
76C3×C4×Dic3—21no—
77C3×C4×Dic3—21no—
78C2×C3×C3⋊C8—21no—
79C2×C3×C3⋊C8—21no—
80C2×C3×C3⋊C8—21no—
81#1879—31noSylow
82C22×C3×D4—21no—
83C22×C3×D4—21no—
84C22×C3×D4C2×D311yescharacteristic
85C22×C3×D4C2×D311yescharacteristic
86C22×C3×D4C22×C311yescharacteristic
87C22×C3×D4C22×C311yescharacteristic
88C23×C3×C4—61no—
89C23×Dic3—21no—
90C2×C3×D8—24no—
91C2×C3×D8—24no—
92C2×C3×D8—22no—
93C2×C3×D8—22no—
94C2×C3×D8—22no—
95C2×C3×D8—22no—
96C2×C3×D8—24no—
97C2×C3×D8Dic314yescomplemented
98C2×C3×D8C3×C414yescomplemented
99C22×C3×C8—21no—
100C22×C3×C8—31no—
101C22×C3×C8C2×D311yescharacteristic
102C22×C3×C8C22×C311yescharacteristic
103C3×C4×D4—62no—
104C3×C4×D4—62no—
105C2×C3×C4⋊C4—31no—
106C2×C3×C4⋊C4—31no—
107C2×C3×C22⋊C4—61no—
108C2×C3×C22⋊C4—61no—
109C2×C3×C22⋊C4—61no—
110C2×C3×C42—31no—
111C2×#217—21no—
112C2×#217—21no—
113C2×#217—21no—
114D4×Dic3—22no—
115D4×Dic3—22no—
116C2×C4⋊Dic3C22×C311yescharacteristic
117C2×C4⋊Dic3C22×C311yescharacteristic
118C2×C4×Dic3C22×C311yescharacteristic
119C22×C3⋊C8C22×C311yescharacteristic
120C3×#102—62no—
121C3×#102—62no—
122#832—22no—
123#832—22no—
124C23×C32—22no—
125C23×C32—22no—
126C23×C32—22no—
127C23×C32—22no—
128C23×C32—41no—
129C23×C32—41no—
130C23×C32—41no—
131C23×C32—41no—
132C23×C32—41no—
133C23×C32—41no—
134C23×C32—41no—
135C23×C32—41no—
136C23×C32—41no—
137C23×C32—41no—
138C23×C32C2×D411yescharacteristic
139C32×D4—22no—
140C32×D4—22no—
141C32×D4—22no—
142C32×D4—22no—
143C32×D4—22no—
144C32×D4—41no—
145C32×D4—41no—
146C32×D4C22⋊C414yescomplemented
147C2×C32×C4C22×C411yescharacteristic
148C2×C32×C4C2×D411yescharacteristic
149C2×C32×C4C2×D411yescharacteristic
150C2×C32×C4C2×D411yescharacteristic
151C2×C32×C4#4111yescharacteristic
152C2×C32×C4#4111yescharacteristic
153C2×C3×Dic3—21no—
154C2×C3×Dic3—21no—
155C2×C3×Dic3—21no—
156C2×C3×Dic3—22no—
157C2×C3×Dic3—21no—
158C2×C3×Dic3—21no—
159C2×C3×Dic3—48no—
160C2×C3×Dic3—41no—
161C2×C3×Dic3—41no—
162C2×C3×Dic3—41no—
163C2×C3×Dic3—41no—
164C2×C3×Dic3—41no—
165C2×C3×Dic3D812yescomplemented
166C32×C8—22no—
167C3×C3⋊C8—41no—
168C22×D8C3×D311yescharacteristic
169C2×C4×D4—31no—
170C2×#102—31no—
171C2×#102—31no—
172#390—31no—
173#340—31no—
174#336—31no—
175C24×C3—21no—
176C24×C3—21no—
177C24×C3—21no—
178C24×C3—21no—
179C24×C3—41no—
180C24×C3—41no—
181C2×C3×D4—22no—
182C2×C3×D4—22no—
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—22no—
200C2×C3×D4—22no—
201C2×C3×D4—22no—
202C2×C3×D4—22no—
203C2×C3×D4—41no—
204C2×C3×D4—41no—
205C2×C3×D4—41no—
206C2×C3×D4—41no—
207C2×C3×D4—41no—
208C2×C3×D4—41no—
209C2×C3×D4C2×Dic312yes—
210C2×C3×D4C2×Dic312yescomplemented
211C2×C3×D4#6712yes—
212C2×C3×D4#6712yes—
213C2×C3×D4C2×C3×C412yes—
214C2×C3×D4C2×C3×C412yescomplemented
215C2×C3×D4C3×D412yes—
216C2×C3×D4C3×D412yes—
217C22×C3×C4—21no—
218C22×C3×C4—31no—
219C22×C3×C4—31no—
220C22×C3×C4—64no—
221C22×C3×C4—61no—
222C22×C3×C4—61no—
223C22×C3×C4—122no—
224C22×C3×C4—122no—
225C22×C3×C4C22×D311yescharacteristic
226C22×C3×C4C23×C311yescharacteristic
227C22×Dic3—24no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—42no—
231C22×Dic3—42no—
232C22×Dic3C3×D411yescharacteristic
233C22×Dic3C3×D411yescharacteristic
234C3×D8—216no—
235C3×D8—28no—
236C3×D8—28no—
237C2×C3×C8—22no—
238C2×C3×C8—22no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—22no—
244C2×C3×C8—61no—
245C2×C3×C8—61no—
246C2×C3×C8—61no—
247C2×C3×C8C2×Dic312yescomplemented
248C2×C3×C8C2×C3×C412yescomplemented
249C3×C4⋊C4—32no—
250C3×C4⋊C4—61no—
251C3×C4⋊C4—61no—
252C3×C4⋊C4—61no—
253C3×C22⋊C4—64no—
254C3×C22⋊C4—122no—
255C3×C22⋊C4—122no—
256C3×C42—61no—
257C3×C42—61no—
258#217—24no—
259#217—42no—
260#217—42no—
261C4⋊Dic3—21no—
262C4⋊Dic3—21no—
263C4⋊Dic3—21no—
264C4⋊Dic3C3×D412yes—
265C4×Dic3—21no—
266C4×Dic3—21no—
267C2×C3⋊C8—21no—
268C2×C3⋊C8—21no—
269C2×C3⋊C8—21no—
270C22×C32—24no—
271C22×C32—42no—
272C22×C32—42no—
273C22×C32—42no—
274C22×C32—42no—
275C22×C32—42no—
276C22×C32—42no—
277C22×C32—42no—
278C22×C32—42no—
279C22×C32—42no—
280C22×C32—81no—
281C22×C32—81no—
282C22×C32—81no—
283C22×C32—81no—
284C22×C32C4×D411yescharacteristic
285C22×C32#12011yescharacteristic
286C22×C32#12111yescharacteristic
287C22×C32C2×D811yescharacteristic
288C22×C32#13511yescharacteristic
289C22×C32AGL(1,ℤ/8)11yescharacteristic
290C22×C32AGL(1,ℤ/8)11yescharacteristic
291C32×C4C2×C22⋊C411yescharacteristic
292C32×C4C4×D411yescharacteristic
293C32×C4#12111yescharacteristic
294C32×C4#12311yescharacteristic
295C3×Dic3—22no—
296C3×Dic3—42no—
297C3×Dic3—41no—
298C3×Dic3—81no—
299C22×D4C2×C3×D311yescharacteristic
300C22×D4C2×C3×D311yescharacteristic
301C23×C4—61no—
302C2×D8—22no—
303C2×D8—22no—
304C2×D8C3×Dic314yescomplemented
305C22×C8—31no—
306C22×C8C2×C3×D311yescharacteristic
307C4×D4—62no—
308C4×D4—62no—
309C2×C4⋊C4—31no—
310C2×C4⋊C4—31no—
311C2×C22⋊C4—61no—
312C2×C22⋊C4—61no—
313C2×C22⋊C4—61no—
314C2×C42—31no—
315#102—62no—
316#102—62no—
317C23×C3—22no—
318C23×C3—22no—
319C23×C3—22no—
320C23×C3—22no—
321C23×C3—22no—
322C23×C3—22no—
323C23×C3—22no—
324C23×C3—22no—
325C23×C3—21no—
326C23×C3—42no—
327C23×C3—42no—
328C23×C3—42no—
329C23×C3—42no—
330C23×C3—42no—
331C23×C3—42no—
332C23×C3—41no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—41no—
337C23×C3—41no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—81no—
353C23×C3—81no—
354C23×C3—81no—
355C23×C3—81no—
356C23×C3—81no—
357C23×C3—81no—
358C23×C3—81no—
359C23×C3—81no—
360C23×C3D3×D411yescharacteristic
361C23×C3C2×C3×D411yescharacteristic
362C3×D4—24no—
363C3×D4—22no—
364C3×D4—22no—
365C3×D4—22no—
366C3×D4—22no—
367C3×D4—22no—
368C3×D4—22no—
369C3×D4—22no—
370C3×D4—22no—
371C3×D4—22no—
372C3×D4—22no—
373C3×D4—24no—
374C3×D4—42no—
375C3×D4—42no—
376C3×D4—42no—
377C3×D4—42no—
378C3×D4—42no—
379C3×D4—42no—
380C3×D4—41no—
381C3×D4—41no—
382C3×D4—41no—
383C3×D4—41no—
384C3×D4#21714yescomplemented
385C3×D4C3×C22⋊C414yescomplemented
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—32no—
393C2×C3×C4—61no—
394C2×C3×C4—61no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—61no—
398C2×C3×C4—62no—
399C2×C3×C4—128no—
400C2×C3×C4—121no—
401C2×C3×C4—121no—
402C2×C3×C4—121no—
403C2×C3×C4—121no—
404C2×C3×C4—121no—
405C2×C3×C4D3×D411yescharacteristic
406C2×C3×C4#23711yescharacteristic
407C2×C3×C4#23711yescharacteristic
408C2×C3×C4C22×Dic311yescharacteristic
409C2×C3×C4C2×#6711yescharacteristic
410C2×C3×C4C2×#6711yescharacteristic
411C2×C3×C4C22×C3×C411yescharacteristic
412C2×C3×C4C2×C3×D411yescharacteristic
413C2×C3×C4C2×C3×D411yescharacteristic
414C2×C3×C4C2×C3×D411yescharacteristic
415C2×C3×C4C3×#4111yescharacteristic
416C2×C3×C4C3×#4111yescharacteristic
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—22no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—48no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3C3×D812yescomplemented
430C3×C8—24no—
431C3×C8—22no—
432C3×C8—22no—
433C3×C8—121no—
434C3⋊C8—41no—
435C2×C32—44no—
436C2×C32—82no—
437C2×C32#38611yescharacteristic
438C2×C32C4×D811yescharacteristic
439C2×C32#44211yescharacteristic
440C2×C32#44711yescharacteristic
441C2×C32#44911yescharacteristic
442C2×C32#45911yescharacteristic
443C2×C32#46311yescharacteristic
444C24—21no—
445C24—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4C2×C3×Dic312yes—
455C2×D4C2×C3×Dic312yescomplemented
456C2×D4C3×#6712yes—
457C2×D4C3×#6712yes—
458C22×C4—31no—
459C22×C4—31no—
460C22×C4—64no—
461C22×C4—61no—
462C22×C4—61no—
463C22×C4—122no—
464C22×C4—122no—
465C22×C4C22×C3×D311yescharacteristic
466D8—28no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—61no—
470C2×C8—61no—
471C2×C8—61no—
472C2×C8C2×C3×Dic312yescomplemented
473C4⋊C4—32no—
474C4⋊C4—61no—
475C4⋊C4—61no—
476C4⋊C4—61no—
477C22⋊C4—64no—
478C22⋊C4—122no—
479C22⋊C4—122no—
480C42—61no—
481C42—61no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—21no—
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—44no—
492C22×C3—44no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—42no—
510C22×C3—42no—
511C22×C3—82no—
512C22×C3—82no—
513C22×C3—82no—
514C22×C3—82no—
515C22×C3—82no—
516C22×C3—82no—
517C22×C3—82no—
518C22×C3—82no—
519C22×C3—82no—
520C22×C3—82no—
521C22×C3—82no—
522C22×C3—82no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—81no—
530C22×C3—81no—
531C22×C3D3×D811yescharacteristic
532C22×C3#91111yescharacteristic
533C22×C3#91111yescharacteristic
534C22×C3#91211yescharacteristic
535C22×C3D4×Dic311yescharacteristic
536C22×C3#93711yescharacteristic
537C22×C3#93911yescharacteristic
538C22×C3C3×C4×D411yescharacteristic
539C22×C3C3×#12011yescharacteristic
540C22×C3C3×#12111yescharacteristic
541C22×C3C2×C3×D811yescharacteristic
542C22×C3C3×#13511yescharacteristic
543C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
544C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—21no—
549C3×C4—62no—
550C3×C4—122no—
551C3×C4—121no—
552C3×C4—241no—
553C3×C4D4×Dic311yescharacteristic
554C3×C4#93511yescharacteristic
555C3×C4#93911yescharacteristic
556C3×C4C2×#21711yescharacteristic
557C3×C4C2×C3×C22⋊C411yescharacteristic
558C3×C4C3×C4×D411yescharacteristic
559C3×C4C3×#12111yescharacteristic
560C3×C4C3×#12311yescharacteristic
561Dic3—22no—
562Dic3—42no—
563Dic3—41no—
564Dic3—81no—
565C32#187911yescharacteristic, complemented, Sylow
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23C3×D3×D411yescharacteristic
581D4—22no—
582D4—22no—
583D4—22no—
584D4—22no—
585D4—22no—
586D4—41no—
587D4—41no—
588D4C3×#21714yescomplemented
589C2×C4—32no—
590C2×C4—61no—
591C2×C4—61no—
592C2×C4—61no—
593C2×C4—61no—
594C2×C4—61no—
595C2×C4—62no—
596C2×C4—128no—
597C2×C4—121no—
598C2×C4—121no—
599C2×C4—121no—
600C2×C4—121no—
601C2×C4—121no—
602C2×C4C3×D3×D411yescharacteristic
603C2×C4C3×#23711yescharacteristic
604C2×C4C3×#23711yescharacteristic
605C2×C4C22×C3×Dic311yescharacteristic
606C2×C4C2×C3×#6711yescharacteristic
607C2×C4C2×C3×#6711yescharacteristic
608C8—22no—
609C8—121no—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—44no—
618C2×C3—44no—
619C2×C3—84no—
620C2×C3—84no—
621C2×C3—82no—
622C2×C3—82no—
623C2×C3Dic3×D811yescharacteristic
624C2×C3#515011yescharacteristic
625C2×C3#515211yescharacteristic
626C2×C3#515311yescharacteristic
627C2×C3#515611yescharacteristic
628C2×C3#515811yescharacteristic
629C2×C3#522011yescharacteristic
630C2×C3C3×#38611yescharacteristic
631C2×C3C3×C4×D811yescharacteristic
632C2×C3C3×#44211yescharacteristic
633C2×C3C3×#44711yescharacteristic
634C2×C3C3×#44911yescharacteristic
635C2×C3C3×#45911yescharacteristic
636C2×C3C3×#46311yescharacteristic
637C22—24no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22C3×D3×D811yescharacteristic
652C22C3×#91111yescharacteristic
653C22C3×#91111yescharacteristic
654C22C3×#91211yescharacteristic
655C22C3×D4×Dic311yescharacteristic
656C22C3×#93711yescharacteristic
657C22C3×#93911yescharacteristic
658C4—62no—
659C4—122no—
660C4—121no—
661C4—241no—
662C4C3×D4×Dic311yescharacteristic
663C4C3×#93511yescharacteristic
664C4C3×#93911yescharacteristic
665C4C2×C3×#21711yescharacteristic
666C3—21no—
667C3#7203711yescharacteristic, direct product factor
668C3C3×#187911yescharacteristic, complemented
669C2—44no—
670C2—82no—
671C2C3×Dic3×D811yescharacteristic
672C2C3×#515011yescharacteristic
673C2C3×#515211yescharacteristic
674C2C3×#515311yescharacteristic
675C2C3×#515611yescharacteristic
676C2C3×#515811yescharacteristic
677C2C3×#522011yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutatorC2×C3×C4C22×C3×C4
FrattiniC22×C4C22×C3×D3
Fitting, prime radicalC22×C32×D8C2
socleC23×C32C2×D4
cosocleC22×C3×C4C23×C3
hypercenterC22×C3×D8D3
hypocenterC3C3×#1879
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×D8

Complements

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

NH ≅ G/Ntype
2. C2×C3×D4×Dic3C2semidirect
3. C3×#5221C2semidirect
4. C2×C3×#832C2semidirect
5. C2×C3×#832C2semidirect
6. C3×#4551C2semidirect
7. C3×#4550C2semidirect
9. #72037C3direct (N × H)
15. C2×C32×D8C4semidirect
32. C2×D4×Dic3C2×C3semidirect
36. #5221C2×C3semidirect
37. C2×#832C2×C3semidirect
38. C2×#832C2×C3semidirect
41. #4551C2×C3semidirect
42. #4550C2×C3semidirect
54. C2×C32×D4C2×C4semidirect
68. C2×C32×C8C2×C4semidirect
97. C2×C3×D8Dic3semidirect
98. C2×C3×D8C3×C4semidirect
146. C32×D4C22⋊C4semidirect
165. C2×C3×Dic3D8semidirect
210. C2×C3×D4C2×Dic3semidirect
214. C2×C3×D4C2×C3×C4semidirect
247. C2×C3×C8C2×Dic3semidirect
248. C2×C3×C8C2×C3×C4semidirect
304. C2×D8C3×Dic3semidirect
384. C3×D4#217semidirect
385. C3×D4C3×C22⋊C4semidirect
429. C2×Dic3C3×D8semidirect
455. C2×D4C2×C3×Dic3semidirect
472. C2×C8C2×C3×Dic3semidirect
565. C32#1879semidirect
588. D4C3×#217semidirect
667. C3#72037direct (N × H)
668. C3C3×#1879semidirect

Maximal subgroups

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

subgroupindex
C22×C32×D82
C2×C3×D4×Dic32
C3×#52212
C2×C3×#8322
C3×#45512
C3×#45502
C3×#18793
#720373