Finite Group Databasebeta

← #11804997

Subgroups — #11804997

Order 1152.

1701 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
1C2×C3×#877C211yesmaximal, characteristic, complemented
2C2×D3×#217C211yesmaximal, characteristic
3C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic
4#10592641C211yesmaximal, characteristic, complemented
5C3×#4955C211yesmaximal, characteristic
6#10591705C211yesmaximal, characteristic, complemented
7#10591696C211yesmaximal, characteristic, complemented
8#10591372C212yesmaximal, complemented
9Dic3×(C2×D3)⋊C4C212yesmaximal, complemented
10#10591285C212yesmaximal, complemented
11#10591280C212yesmaximal, complemented
12#82271—31nomaximal
13#73822—31nomaximal
14C24×C3×D3C2211yescharacteristic
15C23×C3⋊Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C22×D3×Dic3C2212yes—
18C2×C32×C22⋊C4C2211yescharacteristic
19C2×#3757C2211yescharacteristic
20C2×#3750C2212yescomplemented
21C2×C3×#217C2211yescharacteristic
22C2×C3×#217C2211yescharacteristic
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×Dic3⋊C4C2212yescomplemented
26C2×C3×C4×Dic3C2212yescomplemented
27C3×#877—24no—
28D3×#217—24no—
29C2×(C2×D3)⋊Dic3C418yescomplemented
30C2×(C2×D3)⋊Dic3C2212yes—
31C2×(C2×D3)⋊Dic3C2211yescharacteristic
32C2×(C2×D3)⋊Dic3C2211yescharacteristic
33C2×(C2×D3)⋊Dic3C2211yescharacteristic
34C2×(C2×D3)⋊Dic3C2211yescharacteristic
35C2×Dic32C2212yescomplemented
36#63658C2212yescomplemented
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C2×C3×#117—31no—
41C22×#217—31no—
42C22×#217—31no—
43C22×(C2×D3)⋊C4—31no—
44C2×D3×C22⋊C4—31no—
45C2×#877D311yescharacteristic, complemented
46C3×#379—31no—
47#5211—31no—
48#4990—32no—
49#4989—32no—
50#4955D311yescharacteristic
51#4946—32no—
52#4945—32no—
53#4944—32no—
54#4943—31no—
55#4942—31no—
56#4942—31no—
57#4942—61no—
58Dic3×C22⋊C4—31no—
59Dic3×C22⋊C4—31no—
60Dic3×C22⋊C4—32no—
61#4940—32no—
62C4×(C2×D3)⋊C4—32no—
63C24×C32C2311yescharacteristic
64C23×C3×D3—22no—
65C23×C3×D3—22no—
66C23×C3×D3—24no—
67C23×C3×D3—42no—
68C23×C3×D3C2×C414yes—
69C23×C3×D3C2311yescharacteristic
70C23×C3×D3C2311yescharacteristic
71C22×C32×C4C2312yes—
72C22×C3⋊Dic3—42no—
73C22×C3⋊Dic3C2×C414yescomplemented
74C22×C3⋊Dic3C2312yes—
75C22×C3⋊Dic3C2311yescharacteristic
76C22×C3⋊Dic3C2311yescharacteristic
77C22×C3×Dic3—22no—
78C22×C3×Dic3—22no—
79C22×C3×Dic3C2×C414yescomplemented
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2311yescharacteristic
83C22×C3×Dic3C2312yes—
84C2×D3×Dic3—24no—
85C2×D3×Dic3—24no—
86C2×D3×Dic3—42no—
87C32×C22⋊C4—22no—
88#3757—22no—
89#3750—42no—
90C3×#217—22no—
91C3×#217D414yes—
92C3×(C2×D3)⋊C4—24no—
93C3×(C2×D3)⋊C4—42no—
94C3×Dic3⋊C4—24no—
95C3×C4×Dic3—24no—
96(C2×D3)⋊Dic3—24no—
97(C2×D3)⋊Dic3C2×C414yes—
98(C2×D3)⋊Dic3C2×C414yes—
99(C2×D3)⋊Dic3C2×C414yescomplemented
100(C2×D3)⋊Dic3C2×C414yescomplemented
101Dic32—42no—
102#2342—91noSylow
103C25×C3—31no—
104C24×D3C2×D311yescharacteristic
105C23×C3×C4—31no—
106C23×Dic3—31no—
107C23×Dic3—31no—
108C23×Dic3—32no—
109C23×Dic3—61no—
110C23×Dic3C2×D311yescharacteristic
111C22×C4×D3—32no—
112C3×#117—64no—
113C2×C3×C4⋊C4—32no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—31no—
116C2×C3×C22⋊C4—31no—
117C2×C3×C22⋊C4—32no—
118C2×C3×C22⋊C4—32no—
119C2×C3×C22⋊C4C2×D311yescharacteristic
120C2×C3×C22⋊C4C2×D311yescharacteristic
121C2×C3×C42—32no—
122C2×#217—38no—
123C2×#217—31no—
124C2×#217—31no—
125C2×#217—31no—
126C2×#217—31no—
127C2×#217—31no—
128C2×#217—31no—
129C2×#217—32no—
130C2×#217—61no—
131C2×#217—64no—
132C2×#217C2×D311yescharacteristic
133C2×#217C2×D311yescharacteristic
134C2×(C2×D3)⋊C4—38no—
135C2×(C2×D3)⋊C4—31no—
136C2×(C2×D3)⋊C4—31no—
137C2×(C2×D3)⋊C4—31no—
138C2×(C2×D3)⋊C4—31no—
139C2×(C2×D3)⋊C4—32no—
140C2×(C2×D3)⋊C4C2×D312yes—
141C2×(C2×D3)⋊C4C2×D312yes—
142C2×Dic3⋊C4—32no—
143C2×Dic3⋊C4—32no—
144C2×Dic3⋊C4—62no—
145C2×Dic3⋊C4C2×D312yescomplemented
146C2×C4×Dic3—32no—
147C2×C4×Dic3—32no—
148C2×C4×Dic3C2×D312yescomplemented
149D3×C22⋊C4—64no—
150#877—24no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—62no—
160C23×C32—22no—
161C23×C32—22no—
162C23×C32C22×C412yes—
163C23×C32C2×D412yes—
164C23×C32#4112yes—
165C23×C32C2411yescharacteristic
166C22×C3×D3—21no—
167C22×C3×D3—21no—
168C22×C3×D3—22no—
169C22×C3×D3—28no—
170C22×C3×D3—21no—
171C22×C3×D3—21no—
172C22×C3×D3—22no—
173C22×C3×D3—22no—
174C22×C3×D3—28no—
175C22×C3×D3—44no—
176C22×C3×D3—48no—
177C22×C3×D3—48no—
178C22×C3×D3C22×C412yes—
179C22×C3×D3C22×C412yes—
180C22×C3×D3#4114yes—
181C2×C32×C4—22no—
182C2×C32×C4—22no—
183C2×C32×C4—22no—
184C2×C3⋊Dic3—22no—
185C2×C3⋊Dic3—22no—
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3—22no—
188C2×C3⋊Dic3—22no—
189C2×C3⋊Dic3—44no—
190C2×C3⋊Dic3C22×C412yes—
191C2×C3⋊Dic3C22×C412yes—
192C2×C3×Dic3—28no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3C22×C412yes—
203C2×C3×Dic3C22×C412yes—
204C2×C3×Dic3C2×D414yes—
205D3×Dic3—48no—
206C2×#117—31no—
207C22×C22⋊C4—91no—
208C22×C22⋊C4—91no—
209#388—92no—
210#388—92no—
211#385—92no—
212#381—91no—
213#380—91no—
214#379—31no—
215C4×C22⋊C4—92no—
216C4×C22⋊C4—91no—
217C24×C3—21no—
218C24×C3—31no—
219C24×C3—31no—
220C24×C3—34no—
221C24×C3—64no—
222C24×C3—62no—
223C24×C3—62no—
224C24×C3—122no—
225C24×C3C22×D311yescharacteristic
226C24×C3C22×D311yescharacteristic
227C23×D3—22no—
228C23×D3—22no—
229C23×D3—24no—
230C23×D3—42no—
231C23×D3C4×D314yes—
232C23×D3C22×D311yescharacteristic
233C23×D3C22×D311yescharacteristic
234C22×C3×C4—22no—
235C22×C3×C4—34no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—32no—
239C22×C3×C4—32no—
240C22×C3×C4—62no—
241C22×C3×C4—62no—
242C22×C3×C4C22×D312yes—
243C22×C3×C4C22×D312yes—
244C22×Dic3—22no—
245C22×Dic3—22no—
246C22×Dic3—31no—
247C22×Dic3—31no—
248C22×Dic3—31no—
249C22×Dic3—31no—
250C22×Dic3—34no—
251C22×Dic3—34no—
252C22×Dic3—32no—
253C22×Dic3—32no—
254C22×Dic3—61no—
255C22×Dic3—61no—
256C22×Dic3—64no—
257C22×Dic3—62no—
258C22×Dic3—64no—
259C22×Dic3—64no—
260C22×Dic3—122no—
261C22×Dic3—122no—
262C22×Dic3—122no—
263C22×Dic3—124no—
264C22×Dic3C4×D314yescomplemented
265C22×Dic3C22×D312yes—
266C22×Dic3C22×D311yescharacteristic
267C22×Dic3C22×D311yescharacteristic
268C22×Dic3C22×D312yes—
269C2×C4×D3—64no—
270C2×C4×D3—64no—
271C2×C4×D3—122no—
272C3×C4⋊C4—64no—
273C3×C22⋊C4—22no—
274C3×C22⋊C4—22no—
275C3×C22⋊C4—34no—
276C3×C22⋊C4—42no—
277C3×C22⋊C4—64no—
278C3×C22⋊C4—62no—
279C3×C22⋊C4—122no—
280C3×C42—64no—
281#217—22no—
282#217—34no—
283#217—34no—
284#217—34no—
285#217—34no—
286#217—62no—
287#217—62no—
288#217—64no—
289#217—122no—
290#217#6714yes—
291(C2×D3)⋊C4—24no—
292(C2×D3)⋊C4—34no—
293(C2×D3)⋊C4—34no—
294(C2×D3)⋊C4—34no—
295(C2×D3)⋊C4—34no—
296(C2×D3)⋊C4—42no—
297(C2×D3)⋊C4—64no—
298Dic3⋊C4—24no—
299Dic3⋊C4—122no—
300Dic3⋊C4—122no—
301Dic3⋊C4—124no—
302C4×Dic3—24no—
303C4×Dic3—122no—
304C4×Dic3—122no—
305C22×C32—22no—
306C22×C32—22no—
307C22×C32—24no—
308C22×C32—24no—
309C22×C32C4×D414yes—
310C22×C32C23×C411yescharacteristic
311C22×C32C22×D411yescharacteristic
312C22×C32C2×#4111yescharacteristic
313C22×C32C2×#4112yes—
314C22×C32H(5,𝔽2)12yes—
315C2×C3×D3—22no—
316C2×C3×D3—22no—
317C2×C3×D3—24no—
318C2×C3×D3—24no—
319C2×C3×D3—22no—
320C2×C3×D3—22no—
321C2×C3×D3—22no—
322C2×C3×D3—416no—
323C2×C3×D3—42no—
324C2×C3×D3—42no—
325C2×C3×D3#11714yescomplemented
326C32×C4—42no—
327C3⋊Dic3—22no—
328C3⋊Dic3—22no—
329C3⋊Dic3—42no—
330C3×Dic3—22no—
331C3×Dic3—22no—
332C3×Dic3—24no—
333C3×Dic3—42no—
334C25—31no—
335C23×C4—31no—
336C23×C4—92no—
337C23×C4—91no—
338#117—64no—
339C2×C4⋊C4—32no—
340C2×C4⋊C4—92no—
341C2×C22⋊C4—31no—
342C2×C22⋊C4—31no—
343C2×C22⋊C4—32no—
344C2×C22⋊C4—32no—
345C2×C22⋊C4—91no—
346C2×C22⋊C4—91no—
347C2×C22⋊C4—91no—
348C2×C22⋊C4—91no—
349C2×C22⋊C4—98no—
350C2×C22⋊C4—92no—
351C2×C22⋊C4—91no—
352C2×C22⋊C4—184no—
353C2×C22⋊C4D3211yescharacteristic
354C2×C42—32no—
355C2×C42—92no—
356#95—92no—
357#95—92no—
358#95—92no—
359#95—92no—
360C23×C3—22no—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—21no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—32no—
369C23×C3—34no—
370C23×C3—32no—
371C23×C3—42no—
372C23×C3—42no—
373C23×C3—68no—
374C23×C3—61no—
375C23×C3—62no—
376C23×C3—61no—
377C23×C3—68no—
378C23×C3—61no—
379C23×C3—62no—
380C23×C3—62no—
381C23×C3—61no—
382C23×C3—124no—
383C23×C3—128no—
384C23×C3—128no—
385C23×C3C2×C4×D312yes—
386C23×C3C2×C4×D312yes—
387C23×C3#23512yes—
388C23×C3D3×D412yes—
389C23×C3#23712yes—
390C23×C3C2×#6712yes—
391C23×C3C23×D311yescharacteristic
392C23×C3C23×D311yescharacteristic
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—22no—
396C22×D3—28no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—22no—
400C22×D3—22no—
401C22×D3—28no—
402C22×D3—44no—
403C22×D3—48no—
404C22×D3—48no—
405C22×D3C2×C4×D312yes—
406C22×D3C2×C4×D312yes—
407C22×D3#23714yes—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—32no—
415C2×C3×C4—32no—
416C2×C3×C4—34no—
417C2×C3×C4—42no—
418C2×C3×C4—42no—
419C2×C3×C4—42no—
420C2×C3×C4—68no—
421C2×C3×C4—61no—
422C2×C3×C4—61no—
423C2×C3×C4—62no—
424C2×C3×C4—61no—
425C2×C3×C4—61no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—62no—
429C2×C3×C4—62no—
430C2×Dic3—28no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—32no—
441C2×Dic3—32no—
442C2×Dic3—32no—
443C2×Dic3—32no—
444C2×Dic3—62no—
445C2×Dic3—62no—
446C2×Dic3—64no—
447C2×Dic3—62no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—122no—
458C2×Dic3—122no—
459C2×Dic3—122no—
460C2×Dic3—122no—
461C2×Dic3—128no—
462C2×Dic3—124no—
463C2×Dic3—124no—
464C2×Dic3—128no—
465C2×Dic3C2×C4×D312yes—
466C2×Dic3C2×C4×D312yes—
467C2×Dic3C2×#6714yes—
468C4×D3—128no—
469C2×C32—24no—
470C2×C32C2×#11711yescharacteristic
471C2×C32C2×C4×D411yescharacteristic
472C2×C32#51811yescharacteristic
473C2×C32#54612yes—
474C2×C32#55112yes—
475C3×D3—24no—
476C3×D3—42no—
477C24—31no—
478C24—31no—
479C24—34no—
480C24—64no—
481C24—62no—
482C24—62no—
483C24—122no—
484C24C2×D3211yescharacteristic
485C22×C4—31no—
486C22×C4—31no—
487C22×C4—32no—
488C22×C4—34no—
489C22×C4—32no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—91no—
493C22×C4—91no—
494C22×C4—94no—
495C22×C4—92no—
496C22×C4—184no—
497C22×C4—184no—
498C22×C4—362no—
499C22×C4—362no—
500C22×C4C2×D3212yes—
501C4⋊C4—64no—
502C4⋊C4—362no—
503C22⋊C4—22no—
504C22⋊C4—34no—
505C22⋊C4—64no—
506C22⋊C4—62no—
507C22⋊C4—94no—
508C22⋊C4—94no—
509C22⋊C4—94no—
510C22⋊C4—94no—
511C22⋊C4—122no—
512C22⋊C4—184no—
513C22⋊C4—182no—
514C42—64no—
515C42—362no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—22no—
520C22×C3—24no—
521C22×C3—24no—
522C22×C3—24no—
523C22×C3—24no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—24no—
530C22×C3—34no—
531C22×C3—42no—
532C22×C3—44no—
533C22×C3—44no—
534C22×C3—42no—
535C22×C3—62no—
536C22×C3—64no—
537C22×C3—62no—
538C22×C3—64no—
539C22×C3—62no—
540C22×C3—62no—
541C22×C3—62no—
542C22×C3—1216no—
543C22×C3—122no—
544C22×C3—122no—
545C22×C3#67⋊C414yes—
546C22×C3C4×#6714yes—
547C22×C3C22×C4×D311yescharacteristic
548C22×C3C22×C4×D311yescharacteristic
549C22×C3C2×#23511yescharacteristic
550C22×C3C2×D3×D411yescharacteristic
551C22×C3C2×#23711yescharacteristic
552C22×C3C2×#23712yes—
553C22×C3#100412yes—
554C22×C3D3×#4112yes—
555C22×C3#100912yes—
556C22×C3C22×#6711yescharacteristic
557C2×D3—22no—
558C2×D3—22no—
559C2×D3—24no—
560C2×D3—24no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—416no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3#87714yescomplemented
568C3×C4—42no—
569C3×C4—42no—
570C3×C4—62no—
571C3×C4—62no—
572C3×C4—64no—
573C3×C4—82no—
574C3×C4—122no—
575Dic3—22no—
576Dic3—22no—
577Dic3—24no—
578Dic3—42no—
579Dic3—64no—
580Dic3—62no—
581Dic3—62no—
582Dic3—62no—
583Dic3—62no—
584Dic3—122no—
585Dic3—122no—
586Dic3—122no—
587Dic3—242no—
588C32#234211yescharacteristic, complemented, Sylow
589C23—22no—
590C23—22no—
591C23—32no—
592C23—34no—
593C23—32no—
594C23—68no—
595C23—61no—
596C23—62no—
597C23—61no—
598C23—61no—
599C23—62no—
600C23—62no—
601C23—61no—
602C23—68no—
603C23—124no—
604C23—128no—
605C23—128no—
606C23#379512yes—
607C23C4×D3212yes—
608C23D3×#6712yes—
609C23C22×D3211yescharacteristic
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—32no—
614C2×C4—32no—
615C2×C4—34no—
616C2×C4—61no—
617C2×C4—61no—
618C2×C4—62no—
619C2×C4—62no—
620C2×C4—61no—
621C2×C4—61no—
622C2×C4—68no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—92no—
627C2×C4—92no—
628C2×C4—182no—
629C2×C4—182no—
630C2×C4—182no—
631C2×C4—182no—
632C2×C4—182no—
633C2×C4—368no—
634C2×C4—364no—
635C2×C3—24no—
636C2×C3—24no—
637C2×C3—21no—
638C2×C3—22no—
639C2×C3—21no—
640C2×C3—22no—
641C2×C3—21no—
642C2×C3—44no—
643C2×C3—64no—
644C2×C3—122no—
645C2×C3C2×#87711yescharacteristic
646C2×C3C2×#67⋊C411yescharacteristic
647C2×C3#548611yescharacteristic
648C2×C3D3×#11711yescharacteristic
649C2×C3#552111yescharacteristic
650C2×C3#552712yes—
651C2×C3#558712yes—
652C2×C3#559112yes—
653C2×C3C2×C4×#6711yescharacteristic
654C2×C3#582912yes—
655D3—24no—
656D3—42no—
657C22—24no—
658C22—22no—
659C22—24no—
660C22—22no—
661C22—34no—
662C22—62no—
663C22—64no—
664C22—62no—
665C22—64no—
666C22—62no—
667C22—62no—
668C22—62no—
669C22—1216no—
670C22—122no—
671C22—122no—
672C22#6387914yes—
673C22C2×#379511yescharacteristic
674C22C2×C4×D3211yescharacteristic
675C22D3×#23712yes—
676C22#6431412yes—
677C22C2×D3×#6711yescharacteristic
678C4—42no—
679C4—62no—
680C4—62no—
681C4—64no—
682C4—122no—
683C4—182no—
684C4—182no—
685C4—362no—
686C3—21no—
687C3#7382211yescharacteristic, complemented
688C3#8227111yescharacteristic, complemented
689C2—24no—
690C2—64no—
691C2—122no—
692C2D3×#87711yescharacteristic
693C2#1059411712yes—
694C2#1059418211yescharacteristic
695C2C2×#6387911yescharacteristic
696C2#1059530412yes—
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C22⋊C4C22
socle, cosocleC23×C32C24
prime radicalC24×C3×D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2342
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#877C2semidirect
4. #10592641C2semidirect
6. #10591705C2semidirect
7. #10591696C2semidirect
8. #10591372C2semidirect
9. Dic3×(C2×D3)⋊C4C2semidirect
10. #10591285C2semidirect
11. #10591280C2semidirect
20. C2×#3750C22semidirect
25. C2×C3×Dic3⋊C4C22semidirect
26. C2×C3×C4×Dic3C22semidirect
29. C2×(C2×D3)⋊Dic3C4semidirect
35. C2×Dic32C22semidirect
36. #63658C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
45. C2×#877D3semidirect
73. C22×C3⋊Dic3C2×C4semidirect
79. C22×C3×Dic3C2×C4semidirect
99. (C2×D3)⋊Dic3C2×C4semidirect
100. (C2×D3)⋊Dic3C2×C4semidirect
145. C2×Dic3⋊C4C2×D3semidirect
148. C2×C4×Dic3C2×D3semidirect
264. C22×Dic3C4×D3semidirect
325. C2×C3×D3#117semidirect
567. C2×D3#877semidirect
588. C32#2342semidirect
687. C3#73822semidirect
688. C3#82271semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8772
C2×D3×#2172
C22×(C2×D3)⋊Dic32
#105926412
C3×#49552
#105917052
#105916962
#105913722
Dic3×(C2×D3)⋊C42
#105912852
#105912802
#822713
#738223