Finite Group Databasebeta

← #11808749

Subgroups — #11808749

Order 1152.

1841 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#67⋊C4C211yesmaximal, characteristic, complemented
2C2×#63952C212yesmaximal, complemented
3C2×#63904C212yesmaximal, complemented
4C2×#63894C211yesmaximal, characteristic, complemented
5#10592659C211yesmaximal, characteristic, complemented
6C3×#4949C211yesmaximal, characteristic, complemented
7#10591724C212yesmaximal, complemented
8#10591395C211yesmaximal, characteristic, complemented
9#10591324C211yesmaximal, characteristic, complemented
10#10591239C211yesmaximal, characteristic, complemented
11#10591203C212yesmaximal, complemented
12#82347—31nomaximal
13#78019—31nomaximal
14C22×#638C2212yes—
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C3×#67C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×#626C2212yes—
20C22×#624C2212yes—
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×#3752C2212yes—
23C2×C3×#217C2212yes—
24C2×C3×(C2×D3)⋊C4C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×Dic3⋊C4C2212yes—
27C2×C3×Dic3⋊C4C2211yescharacteristic
28C2×C3×C4×Dic3C2211yescharacteristic
29C3×#67⋊C4—24no—
30C2×#3724C2212yes—
31C2×#3722C2212yes—
32C2×#3722C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×Dic32C2212yes—
35#63952—28no—
36#63904—28no—
37#63894—24no—
38#63658C2211yescharacteristic
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C2×C3×C4×D4—31no—
42C2×C4×#67—32no—
43C2×C4×#67—32no—
44C2×#893—32no—
45C2×#893—31no—
46C2×#67⋊C4—32no—
47C2×#67⋊C4D311yescharacteristic, complemented
48C2×C4×D12—31no—
49C3×#399—31no—
50#5223—32no—
51#4993—31no—
52#4993—32no—
53#4993—32no—
54#4960—32no—
55#4960—31no—
56#4960—31no—
57#4960—31no—
58#4960—61no—
59#4949—31no—
60#4949D311yescharacteristic, complemented
61#4932—31no—
62#4671—31no—
63#4648—31no—
64C24×C32C2311yescharacteristic
65C23×C3⋊D3C2312yes—
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C2×#638—24no—
70C2×#638—24no—
71C2×#638—24no—
72C22×C3⋊Dic3C2312yes—
73C2×C4⋊(C3⋊D3)—24no—
74C2×C4⋊(C3⋊D3)—22no—
75C2×C3×#67—22no—
76C2×C3×#67—22no—
77C2×C3×#67—22no—
78C22×C3×Dic3—22no—
79C22×C3×Dic3—24no—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2311yescharacteristic
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2311yescharacteristic
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—24no—
87C2×#626—24no—
88C2×#626—24no—
89C2×#626—24no—
90C2×#624—24no—
91C2×#624—24no—
92C2×#624—24no—
93C32×C22⋊C4—22no—
94#3752—24no—
95C3×#217—24no—
96C3×(C2×D3)⋊C4—22no—
97C3×C4⋊Dic3—22no—
98C3×Dic3⋊C4—22no—
99C3×Dic3⋊C4—24no—
100C3×C4×Dic3D414yescomplemented
101#3724—24no—
102#3722—24no—
103#3722—24no—
104(C2×D3)⋊Dic3—24no—
105Dic32D418yescomplemented
106#2397—91noSylow
107C22×C3×D4—31no—
108C23×C3×C4—31no—
109C23×C3×C4—31no—
110C22×#67—32no—
111C22×#67—32no—
112C22×#67—32no—
113C22×#67—62no—
114C22×#67C2×D311yescharacteristic
115C23×Dic3C2×D311yescharacteristic
116C22×D12—32no—
117C22×D12—31no—
118C22×D12—31no—
119C22×D12—61no—
120C22×C4×D3—32no—
121C22×C4×D3—32no—
122C22×C4×D3C2×D311yescharacteristic
123C3×C4×D4—64no—
124C2×C3×C4⋊C4—32no—
125C2×C3×C4⋊C4—31no—
126C2×C3×C4⋊C4—31no—
127C2×C3×C22⋊C4—21no—
128C2×C3×C22⋊C4—32no—
129C2×C3×C22⋊C4—31no—
130C2×C3×C22⋊C4C2×D311yescharacteristic
131C2×C3×C22⋊C4C2×D311yescharacteristic
132C2×C3×C42—31no—
133C2×#217—32no—
134C2×#217C2×D312yes—
135C4×#67—68no—
136C4×#67—68no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×(C2×D3)⋊C4—32no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—32no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—62no—
145C2×(C2×D3)⋊C4C2×D311yescharacteristic
146C2×C4⋊Dic3C2×D311yescharacteristic
147C2×Dic3⋊C4—32no—
148C2×Dic3⋊C4—32no—
149C2×Dic3⋊C4C2×D312yes—
150C2×Dic3⋊C4C2×D311yescharacteristic
151C2×C4×Dic3—32no—
152C2×C4×Dic3—32no—
153C2×C4×Dic3C2×D311yescharacteristic
154#893—68no—
155#893—64no—
156#67⋊C4—24no—
157#67⋊C4—68no—
158C4×D12—64no—
159C3×#95—31no—
160C3⋊#95—31no—
161C3⋊#95—31no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C3⋊#95—61no—
165C3⋊#95C2×D311yescharacteristic
166C23×C32—22no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—22no—
170C23×C32#4112yes—
171C23×C32C2411yescharacteristic
172C22×C3⋊D3—22no—
173C22×C3⋊D3—22no—
174C22×C3⋊D3—22no—
175C22×C3⋊D3—22no—
176C22×C3⋊D3—22no—
177C22×C3⋊D3—22no—
178C22×C3⋊D3#4114yes—
179C22×C3×D3—22no—
180C22×C3×D3—21no—
181C22×C3×D3—22no—
182C22×C3×D3—21no—
183C22×C3×D3#4112yes—
184C2×C32×C4—22no—
185C2×C32×C4—22no—
186C2×C32×C4—21no—
187C2×C32×C4C2×D412yes—
188#638—216no—
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3C2×D414yes—
192C4⋊(C3⋊D3)—28no—
193C3×#67—28no—
194C2×C3×Dic3—22no—
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×Dic3—21no—
203C2×C3×Dic3—44no—
204C2×C3×Dic3C2×D414yes—
205C2×C3×Dic3C2×D414yes—
206C2×C3×Dic3C2×D412yes—
207C2×C3×Dic3C2×D412yes—
208C3×C4×D3—44no—
209#626—216no—
210#624—48no—
211C2×C4×D4—31no—
212C2×C4×D4—91no—
213C2×C4×D4—92no—
214C2×C4×D4—92no—
215#399—31no—
216#399—91no—
217#399—92no—
218#392—91no—
219#392—92no—
220#392—91no—
221#376—91no—
222C24×C3—21no—
223C24×C3—31no—
224C24×C3C22×D311yescharacteristic
225C24×C3C22×D311yescharacteristic
226C23×D3—32no—
227C23×D3—32no—
228C23×D3—62no—
229C23×D3C22×D311yescharacteristic
230C2×C3×D4—62no—
231C2×C3×D4—62no—
232C2×C3×D4—62no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—31no—
239C22×C3×C4—32no—
240C22×C3×C4—64no—
241C22×C3×C4—62no—
242C22×C3×C4—64no—
243C22×C3×C4—62no—
244C22×C3×C4C22×D311yescharacteristic
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C22×D311yescharacteristic
248C2×#67—22no—
249C2×#67—22no—
250C2×#67—22no—
251C2×#67—64no—
252C2×#67—64no—
253C2×#67—64no—
254C2×#67—64no—
255C2×#67—64no—
256C2×#67—64no—
257C2×#67—64no—
258C2×#67—64no—
259C2×#67—64no—
260C2×#67—124no—
261C2×#67—124no—
262C2×#67—124no—
263C22×Dic3—24no—
264C22×Dic3—22no—
265C22×Dic3—32no—
266C22×Dic3—32no—
267C22×Dic3—62no—
268C22×Dic3C22×D311yescharacteristic
269C22×Dic3C22×D312yes—
270C22×Dic3C22×D312yes—
271C22×Dic3C22×D311yescharacteristic
272C22×Dic3C22×D311yescharacteristic
273C2×D12—64no—
274C2×D12—64no—
275C2×D12—64no—
276C2×D12—64no—
277C2×D12—64no—
278C2×D12—62no—
279C2×D12—62no—
280C2×D12—122no—
281C2×D12—124no—
282C2×C4×D3—24no—
283C2×C4×D3—22no—
284C2×C4×D3—64no—
285C2×C4×D3—64no—
286C2×C4×D3—64no—
287C2×C4×D3—64no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C3×C4⋊C4—64no—
291C3×C4⋊C4—62no—
292C3×C4⋊C4—62no—
293C3×C22⋊C4—22no—
294C3×C22⋊C4—22no—
295C3×C22⋊C4—42no—
296C3×C22⋊C4—64no—
297C3×C22⋊C4—62no—
298C3×C42—34no—
299#217—24no—
300#217—64no—
301(C2×D3)⋊C4—22no—
302(C2×D3)⋊C4—64no—
303(C2×D3)⋊C4—64no—
304(C2×D3)⋊C4—64no—
305(C2×D3)⋊C4—64no—
306(C2×D3)⋊C4—64no—
307(C2×D3)⋊C4—64no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—124no—
310C4⋊Dic3—22no—
311Dic3⋊C4—24no—
312Dic3⋊C4—22no—
313Dic3⋊C4—64no—
314Dic3⋊C4—64no—
315C4×Dic3—38no—
316C4×Dic3—38no—
317C4×Dic3#6714yescomplemented
318C22×C32—22no—
319C22×C32—24no—
320C22×C32—42no—
321C22×C32—41no—
322C22×C32—41no—
323C22×C32C22×D412yes—
324C22×C32C22×D411yescharacteristic
325C22×C32C2×#4111yescharacteristic
326C22×C32C2×#4111yescharacteristic
327C22×C32C2×#4112yes—
328C2×C3⋊D3—24no—
329C2×C3⋊D3—24no—
330C2×C3⋊D3—24no—
331C2×C3⋊D3—42no—
332C2×C3⋊D3—42no—
333C2×C3⋊D3—42no—
334C2×C3⋊D3—42no—
335C2×C3×D3—24no—
336C2×C3×D3—22no—
337C2×C3×D3—42no—
338C2×C3×D3—41no—
339C2×C3×D3—41no—
340C32×C4—22no—
341C32×C4—41no—
342C3⋊Dic3—24no—
343C3×Dic3—24no—
344C3×Dic3—22no—
345C3×Dic3—42no—
346C3×Dic3—41no—
347C3×Dic3#12714yes—
348C22×D4—31no—
349C22×D4—92no—
350C22×D4—92no—
351C22×D4—91no—
352C23×C4—31no—
353C23×C4—31no—
354C23×C4—92no—
355C4×D4—64no—
356C4×D4—184no—
357C4×D4—188no—
358C4×D4—188no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—32no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—92no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—31no—
365C2×C22⋊C4—92no—
366C2×C22⋊C4—92no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4D3211yescharacteristic
370C2×C42—31no—
371C2×C42—92no—
372#95—31no—
373#95—92no—
374#95—91no—
375C23×C3—21no—
376C23×C3—22no—
377C23×C3—21no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—22no—
385C23×C3—32no—
386C23×C3—41no—
387C23×C3—42no—
388C23×C3—42no—
389C23×C3—41no—
390C23×C3—62no—
391C23×C3—61no—
392C23×C3—61no—
393C23×C3—62no—
394C23×C3#23512yes—
395C23×C3#23912yes—
396C23×C3C23×D311yescharacteristic
397C23×C3C23×D311yescharacteristic
398C22×D3—21no—
399C22×D3—22no—
400C22×D3—22no—
401C22×D3—21no—
402C22×D3—34no—
403C22×D3—34no—
404C22×D3—64no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—62no—
408C22×D3—62no—
409C22×D3—62no—
410C22×D3—62no—
411C22×D3—62no—
412C22×D3—62no—
413C22×D3—62no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3—122no—
418C22×D3—122no—
419C22×D3—122no—
420C22×D3—122no—
421C22×D3—122no—
422C22×D3—122no—
423C22×D3#23512yes—
424C3×D4—68no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—22no—
432C2×C3×C4—34no—
433C2×C3×C4—32no—
434C2×C3×C4—34no—
435C2×C3×C4—32no—
436C2×C3×C4—42no—
437C2×C3×C4—42no—
438C2×C3×C4—41no—
439C2×C3×C4—62no—
440C2×C3×C4—61no—
441C2×C3×C4—62no—
442C2×C3×C4—61no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—61no—
447C2×C3×C4—62no—
448C2×C3×C4—124no—
449C2×C3×C4—124no—
450C2×C3×C4D3×D412yes—
451C2×C3×C4C2×#6712yes—
452#67—28no—
453#67—616no—
454#67—616no—
455#67—616no—
456#67—1216no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—21no—
466C2×Dic3—34no—
467C2×Dic3—34no—
468C2×Dic3—44no—
469C2×Dic3—64no—
470C2×Dic3—62no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—122no—
475C2×Dic3—122no—
476C2×Dic3D3×D414yes—
477C2×Dic3D3×D414yes—
478C2×Dic3C2×#6712yes—
479C2×Dic3C2×#6712yes—
480D12—68no—
481D12—68no—
482D12—616no—
483D12—128no—
484C4×D3—44no—
485C4×D3—128no—
486C4×D3—128no—
487C2×C32—42no—
488C2×C32#52512yes—
489C2×C32#52511yescharacteristic
490C2×C32#52511yescharacteristic
491C2×C32#52512yes—
492C2×C32C2×#12711yescharacteristic
493C3⋊D3—44no—
494C3×D3—42no—
495C24—31no—
496C24—92no—
497C24C2×D3211yescharacteristic
498C2×D4—62no—
499C2×D4—62no—
500C2×D4—62no—
501C2×D4—184no—
502C2×D4—184no—
503C2×D4—184no—
504C2×D4—184no—
505C2×D4—184no—
506C2×D4—184no—
507C2×D4—184no—
508C2×D4—182no—
509C22×C4—31no—
510C22×C4—32no—
511C22×C4—31no—
512C22×C4—32no—
513C22×C4—31no—
514C22×C4—62no—
515C22×C4—64no—
516C22×C4—62no—
517C22×C4—64no—
518C22×C4—92no—
519C22×C4—184no—
520C22×C4—184no—
521C22×C4—184no—
522C22×C4C2×D3211yescharacteristic
523C22×C4C2×D3211yescharacteristic
524C4⋊C4—62no—
525C4⋊C4—64no—
526C4⋊C4—62no—
527C4⋊C4—184no—
528C22⋊C4—22no—
529C22⋊C4—64no—
530C22⋊C4—62no—
531C22⋊C4—184no—
532C22⋊C4—184no—
533C22⋊C4—184no—
534C22⋊C4—184no—
535C42—34no—
536C42—98no—
537C22×C3—22no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—22no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—44no—
547C22×C3—42no—
548C22×C3—41no—
549C22×C3—42no—
550C22×C3—41no—
551C22×C3—42no—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—64no—
555C22×C3—62no—
556C22×C3—81no—
557C22×C3—81no—
558C22×C3—82no—
559C22×C3—121no—
560C22×C3—121no—
561C22×C3—122no—
562C22×C3C2×#23511yescharacteristic
563C22×C3C2×#23511yescharacteristic
564C22×C3C2×D3×D412yes—
565C22×C3C2×D3×D412yes—
566C22×C3C2×D3×D411yescharacteristic
567C22×C3C2×#23911yescharacteristic
568C22×C3D3×#4111yescharacteristic
569C22×C3D3×#4112yes—
570C22×C3D3×#4112yes—
571C22×C3C22×#6711yescharacteristic
572C2×D3—22no—
573C2×D3—24no—
574C2×D3—42no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—64no—
581C2×D3—64no—
582C2×D3—64no—
583C2×D3—124no—
584C2×D3—124no—
585C2×D3—124no—
586C2×D3—122no—
587C2×D3—122no—
588C2×D3—122no—
589C2×D3—122no—
590C2×D3—122no—
591C2×D3—122no—
592C2×D3—122no—
593C2×D3—122no—
594C2×D3—242no—
595C2×D3—242no—
596C2×D3—242no—
597C2×D3—242no—
598C3×C4—22no—
599C3×C4—22no—
600C3×C4—34no—
601C3×C4—42no—
602C3×C4—41no—
603C3×C4—41no—
604C3×C4—64no—
605C3×C4—62no—
606C3×C4—81no—
607C3×C4—121no—
608C3×C4—122no—
609Dic3—24no—
610Dic3—22no—
611Dic3—42no—
612Dic3—41no—
613Dic3—64no—
614Dic3—64no—
615Dic3—124no—
616Dic3#94014yes—
617C32#239711yescharacteristic, complemented, Sylow
618C23—21no—
619C23—22no—
620C23—22no—
621C23—21no—
622C23—32no—
623C23—61no—
624C23—62no—
625C23—62no—
626C23—61no—
627C23—94no—
628C23—182no—
629C23—182no—
630C23—182no—
631C23—182no—
632C23—182no—
633C23—182no—
634C23#379912yes—
635C23C22×D3211yescharacteristic
636D4—68no—
637D4—188no—
638D4—1816no—
639D4—1816no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—34no—
644C2×C4—32no—
645C2×C4—34no—
646C2×C4—32no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—61no—
655C2×C4—62no—
656C2×C4—94no—
657C2×C4—124no—
658C2×C4—124no—
659C2×C4—182no—
660C2×C4—182no—
661C2×C4—368no—
662C2×C4D3×#6712yes—
663C2×C3—22no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—22no—
668C2×C3—42no—
669C2×C3—42no—
670C2×C3—82no—
671C2×C3—122no—
672C2×C3#554712yes—
673C2×C3#554712yes—
674C2×C3#562712yes—
675C2×C3#562711yescharacteristic
676C2×C3#565611yescharacteristic
677C2×C3#565612yes—
678C2×C3D3×#12711yescharacteristic
679C2×C3#579111yescharacteristic
680C2×C3C2×#94011yescharacteristic
681C2×C3#582811yescharacteristic
682D3—42no—
683D3—124no—
684D3—124no—
685D3—244no—
686C22—24no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—62no—
692C22—64no—
693C22—122no—
694C22—121no—
695C22—121no—
696C22—184no—
697C22—184no—
698C22—184no—
699C22—362no—
700C22—362no—
701C22—362no—
702C22—362no—
703C22C2×#379911yescharacteristic
704C22D3×#23511yescharacteristic
705C22D32×D412yes—
706C22#6431212yes—
707C22C2×D3×#6711yescharacteristic
708C4—22no—
709C4—34no—
710C4—41no—
711C4—62no—
712C4—64no—
713C4—121no—
714C4—122no—
715C4—184no—
716C3—21no—
717C3#7801911yescharacteristic, complemented
718C3#8234711yescharacteristic, complemented
719C2—42no—
720C2—122no—
721C2—364no—
722C2#1059406612yes—
723C2#1059426612yes—
724C2#1059500511yescharacteristic
725C2#1059515911yescharacteristic
726C2D3×#94011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#67⋊C4C2semidirect
2. C2×#63952C2semidirect
3. C2×#63904C2semidirect
4. C2×#63894C2semidirect
5. #10592659C2semidirect
6. C3×#4949C2semidirect
7. #10591724C2semidirect
8. #10591395C2semidirect
9. #10591324C2semidirect
10. #10591239C2semidirect
11. #10591203C2semidirect
47. C2×#67⋊C4D3semidirect
60. #4949D3semidirect
100. C3×C4×Dic3D4semidirect
105. Dic32D4semidirect
317. C4×Dic3#67semidirect
617. C32#2397semidirect
717. C3#78019semidirect
718. C3#82347semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#67⋊C42
C2×#639522
C2×#639042
C2×#638942
#105926592
C3×#49492
#105917242
#105913952
#105913242
#105912392
#105912032
#823473
#780193