Finite Group Databasebeta

← C3×#10593453 #13166822

Subgroups — C3×#10593453 #13166822

Order 1728.

1028 conjugacy classes of subgroups; only the 118 normal subgroups are shown.

normal subgroups only

This group has 1028 conjugacy classes of subgroups — too many to draw. Only its 118 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×GO+(4,𝔽2)C211yesmaximal, characteristic
2C2×C3×C4×D32C211yesmaximal, characteristic, complemented
3C2×C3×D32⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×D32⋊C4C211yesmaximal, characteristic, complemented
5C3×#63921C211yesmaximal, characteristic, complemented
6C3×#63781C211yesmaximal, characteristic, complemented
7C3×#63737C211yesmaximal, characteristic, complemented
8#10593453C311yesmaximal, characteristic, direct product factor
9C22×C3×D32C2211yescharacteristic
10C22×C3×D32C2211yescharacteristic
11C22×C3×#157C2211yescharacteristic
12C22×C3×#157C2211yescharacteristic
13C2×C3×GO+(4,𝔽2)—22no—
14C2×C3×GO+(4,𝔽2)—22no—
15C2×C3×GO+(4,𝔽2)C414yescomplemented
16C2×C3×C4×C3⋊D3C2211yescharacteristic
17C2×C32×C4×D3—21no—
18C2×C3×#624C2211yescharacteristic
19C2×C3×#624C2211yescharacteristic
20C2×C3×D3×Dic3—21no—
21C3×C4×D32—22no—
22C3×C4×D32—22no—
23C3×D32⋊C4—22no—
24C3×D32⋊C4—22no—
25C32×(C2×D3)⋊C4—21no—
26C3×(C2×D3)⋊Dic3—21no—
27C22×GO+(4,𝔽2)C2×C311yescharacteristic
28C22×C3×C4×D3—61no—
29C2×C4×D32C2×C311yescharacteristic, complemented
30C2×D32⋊C4C2×C311yescharacteristic, complemented
31C2×D32⋊C4C2×C311yescharacteristic, complemented
32C3×D3×C22⋊C4—61no—
33#63921C2×C311yescharacteristic, complemented
34#63781C2×C311yescharacteristic, complemented
35#63737C2×C311yescharacteristic, complemented
36C22×C3×C3⋊D3C2311yescharacteristic
37C22×C32×D3—21no—
38C22×C32×D3—21no—
39C2×C3×D32—21no—
40C2×C3×D32—21no—
41C2×C3×D32—21no—
42C2×C3×D32—21no—
43C2×C3×D32—21no—
44C2×C3×D32—21no—
45C2×C3×D32—21no—
46C2×C3×D32—21no—
47C2×C3×D32C2×C412yes—
48C2×C3×D32C2×C412yescomplemented
49C2×C3×D32D412yes—
50C2×C3×D32D412yes—
51C2×C3×#157—21no—
52C2×C3×#157—21no—
53C2×C3×#157—21no—
54C2×C3×#157—21no—
55C2×C3×#157—21no—
56C2×C3×#157C2×C412yescomplemented
57C3×GO+(4,𝔽2)—28no—
58C2×C33×C4D411yescharacteristic, complemented
59C2×C3×C3⋊Dic3D411yescharacteristic, complemented
60C3×C4×C3⋊D3—21no—
61C3×C4×C3⋊D3—21no—
62C2×C32×Dic3—21no—
63C2×C32×Dic3—21no—
64C32×C4×D3—24no—
65C3×#624—21no—
66C3×#624—21no—
67C3×#624—21no—
68C3×#624D412yescomplemented
69C3×D3×Dic3—24no—
70C3×#386—91nomaximal
71C23×C3×D3—61no—
72C23×C3×D3—61no—
73C22×D32C22×C311yescharacteristic
74C22×D32C22×C311yescharacteristic
75C22×#157C22×C311yescharacteristic
76C22×#157C22×C311yescharacteristic
77C2×GO+(4,𝔽2)—22no—
78C2×GO+(4,𝔽2)—22no—
79C2×GO+(4,𝔽2)C3×C414yescomplemented
80C22×C32×C4—61no—
81C2×C4×C3⋊D3C22×C311yescharacteristic
82C22×C3×Dic3—61no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—41no—
86C2×C3×C4×D3—64no—
87C2×C3×C4×D3—64no—
88C2×C3×C4×D3—61no—
89C2×C3×C4×D3—61no—
90C2×C3×C4×D3—61no—
91C2×C3×C4×D3—61no—
92C2×C3×C4×D3—61no—
93C2×#624C22×C311yescharacteristic
94C2×#624C22×C311yescharacteristic
95C2×D3×Dic3—21no—
96C4×D32—22no—
97C4×D32—22no—
98D32⋊C4—22no—
99D32⋊C4—22no—
100C32×C22⋊C4—61no—
101C3×#217—61no—
102C3×(C2×D3)⋊C4—21no—
103C3×(C2×D3)⋊C4—21no—
104C3×(C2×D3)⋊C4—41no—
105C3×(C2×D3)⋊C4—61no—
106(C2×D3)⋊Dic3—21no—
107C22×C33C2×D411yescharacteristic
108C2×C3×C3⋊D3C22×C411yescharacteristic
109C2×C3×C3⋊D3C2×D411yescharacteristic
110C2×C3×C3⋊D3C2×D411yescharacteristic
111C2×C3×C3⋊D3C2×D411yescharacteristic
112C2×C3×C3⋊D3#4111yescharacteristic
113C2×C3×C3⋊D3#4111yescharacteristic
114C2×C32×D3—22no—
115C2×C32×D3—22no—
116C2×C32×D3—22no—
117C2×C32×D3—22no—
118C2×C32×D3—41no—
119C2×C32×D3—41no—
120C3×D32—22no—
121C3×D32—22no—
122C3×D32—22no—
123C3×D32—22no—
124C3×D32—22no—
125C3×D32—41no—
126C3×D32—41no—
127C3×D32C22⋊C414yescomplemented
128C3×#157—22no—
129C3×#157—41no—
130C33×C4—21no—
131C3×C3⋊Dic3—21no—
132C32×Dic3—22no—
133C32×Dic3—41no—
134C22×C3×D4—91no—
135C23×C3×C4—91no—
136C22×C4×D3—61no—
137C2×C3×C22⋊C4—91no—
138C2×C3×C22⋊C4—91no—
139C2×C3×C22⋊C4—91no—
140D3×C22⋊C4—61no—
141C3×#95—91no—
142C3×#95—91no—
143C23×C32—61no—
144C23×C32—61no—
145C22×C3⋊D3C23×C311yescharacteristic
146C22×C3×D3—21no—
147C22×C3×D3—21no—
148C22×C3×D3—21no—
149C22×C3×D3—21no—
150C22×C3×D3—41no—
151C22×C3×D3—41no—
152C22×C3×D3—62no—
153C22×C3×D3—62no—
154C22×C3×D3—62no—
155C22×C3×D3—62no—
156C22×C3×D3—61no—
157C22×C3×D3—61no—
158C22×C3×D3—62no—
159C22×C3×D3—62no—
160C22×C3×D3—62no—
161C22×C3×D3—62no—
162C22×C3×D3—121no—
163C22×C3×D3—121no—
164C22×C3×D3—121no—
165C22×C3×D3—121no—
166C2×D32—21no—
167C2×D32—21no—
168C2×D32—21no—
169C2×D32—21no—
170C2×D32—21no—
171C2×D32—21no—
172C2×D32—21no—
173C2×D32—21no—
174C2×D32C2×C3×C412yes—
175C2×D32C2×C3×C412yescomplemented
176C2×D32C3×D412yes—
177C2×D32C3×D412yes—
178C2×#157—21no—
179C2×#157—21no—
180C2×#157—21no—
181C2×#157—21no—
182C2×#157—21no—
183C2×#157C2×C3×C412yescomplemented
184GO+(4,𝔽2)—28no—
185C2×C32×C4—21no—
186C2×C32×C4—21no—
187C2×C32×C4—41no—
188C2×C32×C4—41no—
189C2×C32×C4—64no—
190C2×C32×C4—61no—
191C2×C32×C4—61no—
192C2×C32×C4C3×D411yescharacteristic, complemented
193C2×C3⋊Dic3C3×D411yescharacteristic, complemented
194C4×C3⋊D3—21no—
195C4×C3⋊D3—21no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—21no—
200C2×C3×Dic3—41no—
201C2×C3×Dic3—41no—
202C2×C3×Dic3—61no—
203C2×C3×Dic3—61no—
204C2×C3×Dic3—64no—
205C3×C4×D3—24no—
206C3×C4×D3—24no—
207C3×C4×D3—44no—
208C3×C4×D3—62no—
209C3×C4×D3—62no—
210C3×C4×D3—62no—
211C3×C4×D3—62no—
212C3×C4×D3—64no—
213C3×C4×D3—121no—
214C3×C4×D3—121no—
215C3×C4×D3—121no—
216C3×C4×D3—121no—
217#624—21no—
218#624—21no—
219#624—21no—
220#624C3×D412yescomplemented
221D3×Dic3—24no—
222#386—91noSylow
223C2×C33C4×D411yescharacteristic
224C2×C33#12011yescharacteristic
225C2×C33#12111yescharacteristic
226C3×C3⋊D3C2×C22⋊C411yescharacteristic
227C3×C3⋊D3C4×D411yescharacteristic
228C3×C3⋊D3#12111yescharacteristic
229C3×C3⋊D3#12311yescharacteristic
230C32×D3—24no—
231C32×D3—42no—
232C24×C3—91no—
233C24×C3—91no—
234C23×D3—61no—
235C23×D3—61no—
236C2×C3×D4—94no—
237C2×C3×D4—182no—
238C2×C3×D4—182no—
239C22×C3×C4—61no—
240C22×C3×C4—61no—
241C22×C3×C4—91no—
242C22×C3×C4—91no—
243C22×C3×C4—91no—
244C22×C3×C4—91no—
245C22×C3×C4—91no—
246C22×C3×C4—121no—
247C22×C3×C4—182no—
248C22×C3×C4—182no—
249C22×C3×C4—181no—
250C22×Dic3—61no—
251C2×C4×D3—21no—
252C2×C4×D3—61no—
253C2×C4×D3—61no—
254C2×C4×D3—61no—
255C2×C4×D3—61no—
256C2×C4×D3—64no—
257C2×C4×D3—64no—
258C2×C4×D3—61no—
259C3×C22⋊C4—61no—
260C3×C22⋊C4—61no—
261C3×C22⋊C4—121no—
262C3×C22⋊C4—181no—
263C3×C22⋊C4—182no—
264C3×C22⋊C4—182no—
265#217—61no—
266(C2×D3)⋊C4—21no—
267(C2×D3)⋊C4—61no—
268C22×C32—21no—
269C22×C32—21no—
270C22×C32—41no—
271C22×C32—41no—
272C22×C32—62no—
273C22×C32—62no—
274C22×C32—62no—
275C22×C32—62no—
276C22×C32—121no—
277C22×C32—121no—
278C22×C32C2×C3×D411yescharacteristic
279C2×C3⋊D3C22×C3×C411yescharacteristic
280C2×C3⋊D3C2×C3×D411yescharacteristic
281C2×C3⋊D3C2×C3×D411yescharacteristic
282C2×C3⋊D3C2×C3×D411yescharacteristic
283C2×C3⋊D3C3×#4111yescharacteristic
284C2×C3⋊D3C3×#4111yescharacteristic
285C2×C3×D3—22no—
286C2×C3×D3—22no—
287C2×C3×D3—22no—
288C2×C3×D3—22no—
289C2×C3×D3—22no—
290C2×C3×D3—22no—
291C2×C3×D3—22no—
292C2×C3×D3—22no—
293C2×C3×D3—42no—
294C2×C3×D3—42no—
295C2×C3×D3—42no—
296C2×C3×D3—42no—
297C2×C3×D3—41no—
298C2×C3×D3—41no—
299C2×C3×D3—41no—
300C2×C3×D3—41no—
301C2×C3×D3—64no—
302C2×C3×D3—61no—
303C2×C3×D3—61no—
304C2×C3×D3—61no—
305C2×C3×D3—61no—
306C2×C3×D3—61no—
307C2×C3×D3—61no—
308C2×C3×D3—61no—
309C2×C3×D3—61no—
310C2×C3×D3—61no—
311C2×C3×D3—61no—
312C2×C3×D3—61no—
313C2×C3×D3—61no—
314C2×C3×D3—64no—
315C2×C3×D3—64no—
316C2×C3×D3—64no—
317C2×C3×D3—81no—
318C2×C3×D3—81no—
319C2×C3×D3—122no—
320C2×C3×D3—122no—
321C2×C3×D3—122no—
322C2×C3×D3—122no—
323D32—22no—
324D32—22no—
325D32—22no—
326D32—22no—
327D32—22no—
328D32—41no—
329D32—41no—
330D32C3×C22⋊C414yescomplemented
331#157—22no—
332#157—41no—
333C32×C4—22no—
334C32×C4—21no—
335C32×C4—41no—
336C32×C4—42no—
337C32×C4—62no—
338C32×C4—81no—
339C32×C4—121no—
340C3⋊Dic3—21no—
341C3×Dic3—22no—
342C3×Dic3—22no—
343C3×Dic3—42no—
344C3×Dic3—41no—
345C3×Dic3—41no—
346C3×Dic3—62no—
347C3×Dic3—81no—
348C3×Dic3—121no—
349C22×D4—91no—
350C23×C4—91no—
351C2×C22⋊C4—91no—
352C2×C22⋊C4—91no—
353C2×C22⋊C4—91no—
354#95—91no—
355#95—91no—
356C33#38611yescharacteristic, complemented, Sylow
357C23×C3—61no—
358C23×C3—61no—
359C23×C3—61no—
360C23×C3—61no—
361C23×C3—92no—
362C23×C3—92no—
363C23×C3—92no—
364C23×C3—92no—
365C23×C3—91no—
366C23×C3—121no—
367C23×C3—121no—
368C23×C3—181no—
369C23×C3—181no—
370C23×C3—181no—
371C23×C3—181no—
372C23×C3—181no—
373C23×C3—181no—
374C23×C3—181no—
375C23×C3—181no—
376C22×D3—21no—
377C22×D3—21no—
378C22×D3—62no—
379C22×D3—62no—
380C22×D3—62no—
381C22×D3—62no—
382C22×D3—61no—
383C22×D3—61no—
384C22×D3—62no—
385C22×D3—62no—
386C22×D3—62no—
387C22×D3—62no—
388C22×D3—121no—
389C22×D3—121no—
390C22×D3—121no—
391C22×D3—121no—
392C3×D4—188no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—64no—
398C2×C3×C4—64no—
399C2×C3×C4—61no—
400C2×C3×C4—61no—
401C2×C3×C4—61no—
402C2×C3×C4—61no—
403C2×C3×C4—92no—
404C2×C3×C4—92no—
405C2×C3×C4—91no—
406C2×C3×C4—124no—
407C2×C3×C4—121no—
408C2×C3×C4—121no—
409C2×C3×C4—181no—
410C2×C3×C4—181no—
411C2×C3×C4—181no—
412C2×C3×C4—184no—
413C2×C3×C4—181no—
414C2×C3×C4—181no—
415C2×C3×C4—181no—
416C2×C3×C4—181no—
417C2×C3×C4—181no—
418C2×C3×C4—181no—
419C2×C3×C4—181no—
420C2×C3×C4GO+(4,𝔽2)11yescharacteristic, complemented
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—61no—
424C2×Dic3—61no—
425C2×Dic3—64no—
426C4×D3—24no—
427C4×D3—62no—
428C4×D3—62no—
429C4×D3—62no—
430C4×D3—62no—
431C4×D3—64no—
432C4×D3—121no—
433C4×D3—121no—
434C4×D3—121no—
435C4×D3—121no—
436C2×C32—21no—
437C2×C32—21no—
438C2×C32—21no—
439C2×C32—21no—
440C2×C32—21no—
441C2×C32—21no—
442C2×C32—41no—
443C2×C32—41no—
444C2×C32—41no—
445C2×C32—41no—
446C2×C32—41no—
447C2×C32—41no—
448C2×C32—64no—
449C2×C32—122no—
450C2×C32C3×C4×D411yescharacteristic
451C2×C32C3×#12011yescharacteristic
452C2×C32C3×#12111yescharacteristic
453C3⋊D3C2×C3×C22⋊C411yescharacteristic
454C3⋊D3C3×C4×D411yescharacteristic
455C3⋊D3C3×#12111yescharacteristic
456C3⋊D3C3×#12311yescharacteristic
457C3×D3—24no—
458C3×D3—24no—
459C3×D3—44no—
460C3×D3—42no—
461C3×D3—42no—
462C3×D3—61no—
463C3×D3—61no—
464C3×D3—61no—
465C3×D3—61no—
466C3×D3—61no—
467C3×D3—61no—
468C3×D3—61no—
469C3×D3—61no—
470C3×D3—82no—
471C24—91no—
472C24—91no—
473C2×D4—94no—
474C2×D4—182no—
475C2×D4—182no—
476C22×C4—61no—
477C22×C4—91no—
478C22×C4—91no—
479C22×C4—91no—
480C22×C4—91no—
481C22×C4—91no—
482C22×C4—182no—
483C22×C4—182no—
484C22×C4—181no—
485C22⋊C4—61no—
486C22⋊C4—181no—
487C22⋊C4—182no—
488C22⋊C4—182no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—62no—
494C22×C3—62no—
495C22×C3—62no—
496C22×C3—62no—
497C22×C3—62no—
498C22×C3—62no—
499C22×C3—62no—
500C22×C3—62no—
501C22×C3—94no—
502C22×C3—91no—
503C22×C3—91no—
504C22×C3—91no—
505C22×C3—91no—
506C22×C3—91no—
507C22×C3—91no—
508C22×C3—122no—
509C22×C3—122no—
510C22×C3—122no—
511C22×C3—122no—
512C22×C3—121no—
513C22×C3—121no—
514C22×C3—121no—
515C22×C3—121no—
516C22×C3—182no—
517C22×C3—182no—
518C22×C3—182no—
519C22×C3—182no—
520C22×C3—182no—
521C22×C3—241no—
522C22×C3—241no—
523C22×C3—361no—
524C22×C3—361no—
525C22×C3C2×GO+(4,𝔽2)11yescharacteristic
526C2×D3—22no—
527C2×D3—22no—
528C2×D3—22no—
529C2×D3—22no—
530C2×D3—41no—
531C2×D3—41no—
532C2×D3—64no—
533C2×D3—61no—
534C2×D3—61no—
535C2×D3—61no—
536C2×D3—61no—
537C2×D3—61no—
538C2×D3—61no—
539C2×D3—61no—
540C2×D3—61no—
541C2×D3—61no—
542C2×D3—61no—
543C2×D3—61no—
544C2×D3—61no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—122no—
549C2×D3—122no—
550C2×D3—122no—
551C2×D3—122no—
552C3×C4—22no—
553C3×C4—21no—
554C3×C4—41no—
555C3×C4—42no—
556C3×C4—62no—
557C3×C4—62no—
558C3×C4—81no—
559C3×C4—122no—
560C3×C4—121no—
561C3×C4—121no—
562C3×C4—182no—
563C3×C4—181no—
564C3×C4—241no—
565C3×C4—361no—
566Dic3—22no—
567Dic3—41no—
568Dic3—62no—
569Dic3—121no—
570C32—21no—
571C32—21no—
572C32—41no—
573C32—41no—
574C32C3×#38611yescharacteristic, complemented
575C23—61no—
576C23—61no—
577C23—92no—
578C23—92no—
579C23—92no—
580C23—92no—
581C23—91no—
582C23—181no—
583C23—181no—
584C23—181no—
585C23—181no—
586C23—181no—
587C23—181no—
588C23—181no—
589C23—181no—
590D4—188no—
591C2×C4—64no—
592C2×C4—61no—
593C2×C4—61no—
594C2×C4—92no—
595C2×C4—92no—
596C2×C4—91no—
597C2×C4—181no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—184no—
601C2×C4—181no—
602C2×C4—181no—
603C2×C4—181no—
604C2×C4—181no—
605C2×C4—181no—
606C2×C4—181no—
607C2×C4—181no—
608C2×C4C3×GO+(4,𝔽2)11yescharacteristic, complemented
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—41no—
616C2×C3—41no—
617C2×C3—41no—
618C2×C3—41no—
619C2×C3—41no—
620C2×C3—41no—
621C2×C3—64no—
622C2×C3—64no—
623C2×C3—91no—
624C2×C3—91no—
625C2×C3—91no—
626C2×C3—91no—
627C2×C3—124no—
628C2×C3—122no—
629C2×C3—122no—
630C2×C3—242no—
631C2×C3C4×GO+(4,𝔽2)11yescharacteristic
632C2×C3#6423011yescharacteristic
633C2×C3#6424111yescharacteristic
634D3—24no—
635D3—42no—
636D3—61no—
637D3—61no—
638D3—61no—
639D3—61no—
640D3—61no—
641D3—61no—
642D3—61no—
643D3—61no—
644C22—62no—
645C22—62no—
646C22—62no—
647C22—62no—
648C22—94no—
649C22—91no—
650C22—91no—
651C22—91no—
652C22—91no—
653C22—91no—
654C22—91no—
655C22—121no—
656C22—121no—
657C22—182no—
658C22—182no—
659C22—182no—
660C22—182no—
661C22—182no—
662C22—361no—
663C22—361no—
664C22C2×C3×GO+(4,𝔽2)11yescharacteristic
665C4—21no—
666C4—62no—
667C4—121no—
668C4—182no—
669C4—181no—
670C4—361no—
671C3—21no—
672C3—21no—
673C3—41no—
674C3—41no—
675C3#1059345311yescharacteristic, direct product factor
676C2—64no—
677C2—91no—
678C2—91no—
679C2—91no—
680C2—91no—
681C2—122no—
682C2C3×C4×GO+(4,𝔽2)11yescharacteristic
683C2C3×#6423011yescharacteristic
684C2C3×#6424111yescharacteristic
subgroupG/H
centerC22×C3C2×GO+(4,𝔽2)
commutatorC2×C3⋊D3C22×C3×C4
FrattiniC22C2×C3×GO+(4,𝔽2)
FittingC2×C33×C4D4
socleC22×C33C2×D4
prime radicalC22×C3×GO+(4,𝔽2)C2
cosocleC22×C3⋊D3C23×C3
hypercenterC2×C3×C4GO+(4,𝔽2)
hypocenterC32C3×#386
LCSG ▷ C2×C3⋊D3 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×D32C2semidirect
3. C2×C3×D32⋊C4C2semidirect
4. C2×C3×D32⋊C4C2semidirect
5. C3×#63921C2semidirect
6. C3×#63781C2semidirect
7. C3×#63737C2semidirect
8. #10593453C3direct (N × H)
15. C2×C3×GO+(4,𝔽2)C4semidirect
29. C2×C4×D32C2×C3semidirect
30. C2×D32⋊C4C2×C3semidirect
31. C2×D32⋊C4C2×C3semidirect
33. #63921C2×C3semidirect
34. #63781C2×C3semidirect
35. #63737C2×C3semidirect
48. C2×C3×D32C2×C4semidirect
56. C2×C3×#157C2×C4semidirect
58. C2×C33×C4D4semidirect
59. C2×C3×C3⋊Dic3D4semidirect
68. C3×#624D4semidirect
79. C2×GO+(4,𝔽2)C3×C4semidirect
127. C3×D32C22⋊C4semidirect
175. C2×D32C2×C3×C4semidirect
183. C2×#157C2×C3×C4semidirect
192. C2×C32×C4C3×D4semidirect
193. C2×C3⋊Dic3C3×D4semidirect
220. #624C3×D4semidirect
330. D32C3×C22⋊C4semidirect
356. C33#386semidirect
420. C2×C3×C4GO+(4,𝔽2)semidirect
574. C32C3×#386semidirect
608. C2×C4C3×GO+(4,𝔽2)semidirect
675. C3#10593453direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×GO+(4,𝔽2)2
C2×C3×C4×D322
C2×C3×D32⋊C42
C3×#639212
C3×#637812
C3×#637372
#105934533
C3×#3869