Finite Group Databasebeta

← #11808251

Subgroups — #11808251

Order 1152.

1979 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3795C211yesmaximal, characteristic, complemented
2C2×C3×#893C211yesmaximal, characteristic, complemented
3C2×#63879C212yesmaximal, complemented
4#10592678C211yesmaximal, characteristic, complemented
5C3×#4991C211yesmaximal, characteristic, complemented
6#10591389C211yesmaximal, characteristic, complemented
7#10591389C212yesmaximal, complemented
8#10591388C212yesmaximal, complemented
9Dic3×(C2×D3)⋊C4C212yesmaximal, complemented
10#10591322C211yesmaximal, characteristic, complemented
11#10591237C211yesmaximal, characteristic, complemented
12#82400—31nomaximal
13#76889—31nomaximal
14C22×#634C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×#625C2212yes—
20C22×#625C2212yes—
21C22×D3×Dic3C2212yes—
22C2×#3795—24no—
23C2×#3795—28no—
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×#3750C2212yes—
26C2×C3×(C2×D3)⋊C4C2211yescharacteristic
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×C4×Dic3C2211yescharacteristic
31C3×#893—24no—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2212yes—
36#63879—28no—
37#63658C2211yescharacteristic
38#63658C2212yes—
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C22×#237—31no—
42C22×#235—31no—
43C2×C3×C4×D4—31no—
44C2×C4×#67—32no—
45C2×#893D311yescharacteristic, complemented
46C2×#67⋊C4—32no—
47C3×#394—31no—
48#5223—31no—
49#5223—32no—
50C4×#217—31no—
51#4991D311yescharacteristic, complemented
52#4979—31no—
53#4979—31no—
54#4979—61no—
55#4960—32no—
56#4960—31no—
57#4959—32no—
58#4959—32no—
59#4947—31no—
60Dic3×C22⋊C4—32no—
61C4×(C2×D3)⋊C4—32no—
62#4673—31no—
63#4666—31no—
64C23×C3×D3C2312yes—
65C23×C3×D3C2311yescharacteristic
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C3⋊Dic3C2312yes—
71C22×C3⋊Dic3C2312yes—
72C2×#634—22no—
73C2×#634—24no—
74C22×C3×Dic3C2311yescharacteristic
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C2×C3×D12—22no—
78C2×C3×D12—24no—
79C2×C3×D12—22no—
80C2×C3×D12—22no—
81C2×C3×D12—22no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3—22no—
84C2×C3×C4×D3—24no—
85C2×C3×C4×D3D414yescomplemented
86C2×#625—24no—
87C2×#625—24no—
88C2×#625—24no—
89C2×#625—24no—
90C2×#625—24no—
91C2×#625—24no—
92C2×D3×Dic3—24no—
93C2×D3×Dic3—24no—
94C2×D3×Dic3D418yescomplemented
95#3795—232no—
96C32×C4⋊C4—22no—
97#3750—24no—
98C3×(C2×D3)⋊C4—22no—
99C3×(C2×D3)⋊C4—24no—
100C3×(C2×D3)⋊C4—22no—
101C3×(C2×D3)⋊C4—24no—
102C3×C4×Dic3—22no—
103(C2×D3)⋊Dic3—24no—
104(C2×D3)⋊Dic3—24no—
105(C2×D3)⋊Dic3—24no—
106Dic32—24no—
107#2388—91noSylow
108C22×C3×D4—31no—
109C22×C3×D4—31no—
110C23×C3×C4—31no—
111C23×C3×C4—31no—
112C22×#67—32no—
113C22×#67—32no—
114C22×#67—32no—
115C22×#67—32no—
116C23×Dic3—32no—
117C2×#237—68no—
118C2×#237—64no—
119C2×#235—68no—
120C2×#235—64no—
121C22×D12C2×D311yescharacteristic
122C22×D12C2×D311yescharacteristic
123C22×C4×D3—32no—
124C22×C4×D3C2×D311yescharacteristic
125C22×C4×D3C2×D311yescharacteristic
126C22×Dic6—31no—
127C22×Dic6—31no—
128C22×Dic6—61no—
129C3×C4×D4—64no—
130C2×C3×C4⋊C4—21no—
131C2×C3×C4⋊C4C2×D311yescharacteristic
132C2×C3×C4⋊C4C2×D311yescharacteristic
133C2×C3×C22⋊C4—32no—
134C2×C3×C22⋊C4—31no—
135C2×C3×C22⋊C4—31no—
136C2×C3×C22⋊C4—32no—
137C2×C3×C42—31no—
138C2×#217—32no—
139C2×#217—32no—
140C2×#217—32no—
141C4×#67—68no—
142C2×(C2×D3)⋊C4—32no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4C2×D311yescharacteristic
146C2×(C2×D3)⋊C4C2×D312yes—
147C2×(C2×D3)⋊C4C2×D311yescharacteristic
148C2×(C2×D3)⋊C4C2×D312yes—
149C2×Dic3⋊C4—32no—
150C2×Dic3⋊C4—32no—
151C2×Dic3⋊C4—62no—
152C2×C4×Dic3—32no—
153C2×C4×Dic3—32no—
154C2×C4×Dic3C2×D311yescharacteristic
155#893—24no—
156#67⋊C4—68no—
157C3×#95—31no—
158C3⋊#95—31no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—31no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C3⋊#95—61no—
165C3⋊#95—62no—
166C3⋊#95C2×D311yescharacteristic
167C23×C32C2411yescharacteristic
168C22×C3×D3—22no—
169C22×C3×D3—21no—
170C22×C3×D3—22no—
171C22×C3×D3—22no—
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—22no—
179C22×C3×D3—21no—
180C22×C3×D3—21no—
181C22×C3×D3—21no—
182C22×C3×D3C2×D414yes—
183C22×C3×D3C2×D412yes—
184C22×C3×D3#4112yescomplemented
185C2×C32×C4—21no—
186C2×C32×C4—22no—
187C2×C32×C4—21no—
188C2×C32×C4—22no—
189C2×C32×C4—21no—
190C2×C32×C4C2×D412yes—
191C2×C32×C4#4112yescomplemented
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3—22no—
194C2×C3⋊Dic3—22no—
195C2×C3⋊Dic3—22no—
196C2×C3⋊Dic3C2×D414yes—
197C2×C3⋊Dic3#4114yescomplemented
198#634—28no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3C2×D414yes—
205C2×C3×Dic3C2×D412yes—
206C3×D12—28no—
207C3×D12—28no—
208C3×C4×D3—28no—
209C3×C4×D3—44no—
210#625—216no—
211#625—216no—
212D3×Dic3—216no—
213C22×#41—91no—
214C2×C4×D4—31no—
215C2×C4×D4—92no—
216#395—91no—
217#394—31no—
218#394—92no—
219#393—91no—
220#392—91no—
221#392—92no—
222C4×C22⋊C4—91no—
223C4×C22⋊C4—92no—
224C24×C3—31no—
225C24×C3—31no—
226C24×C3—32no—
227C23×D3C22×D311yescharacteristic
228C23×D3C22×D312yes—
229C23×D3C22×D311yescharacteristic
230C2×C3×D4—62no—
231C2×C3×D4—64no—
232C2×C3×D4—62no—
233C2×C3×D4—62no—
234C2×C3×D4—62no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—31no—
239C22×C3×C4—34no—
240C22×C3×C4—31no—
241C22×C3×C4—32no—
242C22×C3×C4—64no—
243C22×C3×C4—64no—
244C22×C3×C4—62no—
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
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—64no—
261C2×#67—64no—
262C2×#67—64no—
263C22×Dic3—32no—
264C22×Dic3—32no—
265C22×Dic3—32no—
266C22×Dic3—32no—
267C22×Dic3—38no—
268C22×Dic3—62no—
269C22×Dic3—62no—
270C22×Dic3—64no—
271C22×Dic3—64no—
272C22×Dic3C22×D311yescharacteristic
273C22×Dic3C22×D312yes—
274C22×Dic3C22×D311yescharacteristic
275#237—632no—
276#235—632no—
277C2×D12—22no—
278C2×D12—24no—
279C2×D12—22no—
280C2×D12—22no—
281C2×D12—22no—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—22no—
285C2×C4×D3—38no—
286C2×C4×D3—64no—
287C2×C4×D3—64no—
288C2×C4×D3#6714yescomplemented
289C2×Dic6—64no—
290C2×Dic6—64no—
291C2×Dic6—62no—
292C2×Dic6—62no—
293C2×Dic6—124no—
294C2×Dic6—122no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—22no—
297C3×C4⋊C4—42no—
298C3×C22⋊C4—64no—
299C3×C22⋊C4—62no—
300C3×C22⋊C4—64no—
301C3×C22⋊C4—62no—
302C3×C42—62no—
303#217—64no—
304#217—64no—
305#217—64no—
306(C2×D3)⋊C4—24no—
307(C2×D3)⋊C4—22no—
308(C2×D3)⋊C4—24no—
309(C2×D3)⋊C4—22no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—64no—
312(C2×D3)⋊C4—64no—
313Dic3⋊C4—64no—
314Dic3⋊C4—64no—
315Dic3⋊C4—124no—
316C4×Dic3—22no—
317C4×Dic3—64no—
318C4×Dic3—64no—
319C22×C32C22×D412yes—
320C22×C32C22×D411yescharacteristic
321C22×C32C2×#4111yescharacteristic
322C22×C32C2×#4111yescharacteristic
323C22×C32C2×#4112yes—
324C2×C3×D3—24no—
325C2×C3×D3—22no—
326C2×C3×D3—24no—
327C2×C3×D3—24no—
328C2×C3×D3—22no—
329C2×C3×D3—22no—
330C2×C3×D3—22no—
331C2×C3×D3—24no—
332C2×C3×D3—41no—
333C2×C3×D3—42no—
334C2×C3×D3—42no—
335C2×C3×D3—42no—
336C2×C3×D3—42no—
337C2×C3×D3—42no—
338C2×C3×D3—42no—
339C2×C3×D3—41no—
340C2×C3×D3—42no—
341C32×C4—22no—
342C32×C4—22no—
343C32×C4—41no—
344C3⋊Dic3—24no—
345C3⋊Dic3—24no—
346C3×Dic3—41no—
347C3×Dic3—42no—
348C3×Dic3#12014yes—
349C2×#41—184no—
350C2×#41—188no—
351C22×Q8—91no—
352C22×D4—31no—
353C22×D4—31no—
354C22×D4—92no—
355C22×D4—92no—
356C23×C4—31no—
357C23×C4—31no—
358C23×C4—92no—
359C4×D4—64no—
360C4×D4—188no—
361C2×C4⋊C4—92no—
362C2×C4⋊C4D3211yescharacteristic
363C2×C22⋊C4—31no—
364C2×C22⋊C4—31no—
365C2×C22⋊C4—32no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C42—31no—
371C2×C42—92no—
372#95—31no—
373#95—92no—
374#95—91no—
375#95—92no—
376C23×C3—21no—
377C23×C3—34no—
378C23×C3—32no—
379C23×C3—32no—
380C23×C3—62no—
381C23×C3—62no—
382C23×C3—62no—
383C23×C3—61no—
384C23×C3—62no—
385C23×C3—62no—
386C23×C3—61no—
387C23×C3—61no—
388C23×C3—62no—
389C23×C3—62no—
390C23×C3—62no—
391C23×C3—62no—
392C23×C3—61no—
393C23×C3—62no—
394C23×C3C23×D311yescharacteristic
395C23×C3C23×D311yescharacteristic
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—22no—
400C22×D3—22no—
401C22×D3—22no—
402C22×D3—22no—
403C22×D3—22no—
404C22×D3—22no—
405C22×D3—22no—
406C22×D3—22no—
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—21no—
410C22×D3#23512yescomplemented
411C22×D3D3×D414yes—
412C22×D3C2×#6712yes—
413C3×D4—68no—
414C3×D4—68no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—34no—
428C2×C3×C4—32no—
429C2×C3×C4—41no—
430C2×C3×C4—42no—
431C2×C3×C4—41no—
432C2×C3×C4—42no—
433C2×C3×C4—41no—
434C2×C3×C4—68no—
435C2×C3×C4—62no—
436C2×C3×C4—62no—
437C2×C3×C4—61no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—124no—
441C2×C3×C4#23512yescomplemented
442C2×C3×C4D3×D412yes—
443C2×C3×C4#23712yescomplemented
444C2×C3×C4C2×#6712yes—
445#67—616no—
446#67—616no—
447#67—616no—
448#67—616no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—21no—
454C2×Dic3—34no—
455C2×Dic3—34no—
456C2×Dic3—34no—
457C2×Dic3—34no—
458C2×Dic3—64no—
459C2×Dic3—64no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—616no—
469C2×Dic3—122no—
470C2×Dic3—122no—
471C2×Dic3—122no—
472C2×Dic3—122no—
473C2×Dic3D3×D414yes—
474C2×Dic3C2×#6712yes—
475D12—28no—
476D12—28no—
477C4×D3—28no—
478C4×D3—44no—
479C4×D3—616no—
480Dic6—68no—
481Dic6—68no—
482Dic6—128no—
483C2×C32C2×#12011yescharacteristic
484C2×C32#52512yes—
485C2×C32#52511yescharacteristic
486C2×C32#53211yescharacteristic
487C2×C32#53212yes—
488C3×D3—44no—
489C3×D3—42no—
490C3×D3—42no—
491C24—32no—
492C24—31no—
493C24—31no—
494#41—1832no—
495C2×Q8—184no—
496C2×Q8—182no—
497C2×D4—62no—
498C2×D4—64no—
499C2×D4—62no—
500C2×D4—62no—
501C2×D4—62no—
502C2×D4—184no—
503C2×D4—184no—
504C2×D4—184no—
505C2×D4—184no—
506C2×D4—184no—
507C2×D4—184no—
508C22×C4—31no—
509C22×C4—34no—
510C22×C4—32no—
511C22×C4—31no—
512C22×C4—64no—
513C22×C4—62no—
514C22×C4—64no—
515C22×C4—98no—
516C22×C4—92no—
517C22×C4—92no—
518C22×C4—184no—
519C22×C4—184no—
520C22×C4C2×D3211yescharacteristic
521C22×C4C2×D3211yescharacteristic
522C22×C4C2×D3211yescharacteristic
523C4⋊C4—22no—
524C4⋊C4—184no—
525C22⋊C4—62no—
526C22⋊C4—64no—
527C22⋊C4—64no—
528C22⋊C4—62no—
529C22⋊C4—184no—
530C22⋊C4—184no—
531C22⋊C4—184no—
532C42—62no—
533C42—184no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—21no—
539C22×C3—64no—
540C22×C3—62no—
541C22×C3—64no—
542C22×C3—64no—
543C22×C3—64no—
544C22×C3—62no—
545C22×C3—62no—
546C22×C3—62no—
547C22×C3—122no—
548C22×C3—121no—
549C22×C3—122no—
550C22×C3—122no—
551C22×C3—122no—
552C22×C3—122no—
553C22×C3—121no—
554C22×C3—122no—
555C22×C3—122no—
556C22×C3C2×#23511yescharacteristic
557C22×C3C2×#23511yescharacteristic
558C22×C3C2×D3×D412yes—
559C22×C3C2×D3×D412yes—
560C22×C3C2×D3×D411yescharacteristic
561C22×C3C2×#23711yescharacteristic
562C22×C3D3×#4111yescharacteristic
563C22×C3D3×#4112yes—
564C22×C3D3×#4112yes—
565C22×C3C22×#6711yescharacteristic
566C2×D3—24no—
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—22no—
570C2×D3—24no—
571C2×D3—22no—
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—42no—
575C2×D3—42no—
576C2×D3—41no—
577C2×D3—42no—
578C2×D3—42no—
579C2×D3—42no—
580C2×D3—41no—
581C2×D3—42no—
582C2×D3—42no—
583C3×C4—22no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—22no—
587C3×C4—34no—
588C3×C4—42no—
589C3×C4—42no—
590C3×C4—41no—
591C3×C4—41no—
592C3×C4—81no—
593C3×C4—121no—
594C3×C4—122no—
595Dic3—41no—
596Dic3—42no—
597Dic3—64no—
598Dic3—64no—
599Dic3—64no—
600Dic3—64no—
601Dic3—124no—
602Dic3—124no—
603Dic3#93714yes—
604C32#238811yescharacteristic, complemented, Sylow
605C23—32no—
606C23—34no—
607C23—32no—
608C23—62no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—62no—
613C23—62no—
614C23—62no—
615C23—62no—
616C23—62no—
617C23—62no—
618C23—62no—
619C23—62no—
620C23—61no—
621C23—62no—
622C23C22×D3211yescharacteristic
623Q8—188no—
624D4—68no—
625D4—68no—
626D4—1816no—
627D4—1816no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—34no—
634C2×C4—32no—
635C2×C4—68no—
636C2×C4—62no—
637C2×C4—62no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—61no—
641C2×C4—94no—
642C2×C4—94no—
643C2×C4—124no—
644C2×C4—1816no—
645C2×C4—182no—
646C2×C4—182no—
647C2×C4—182no—
648C2×C4—182no—
649C2×C4#379512yescomplemented
650C2×C4D3×#6712yes—
651C2×C3—21no—
652C2×C3—22no—
653C2×C3—22no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—122no—
657C2×C3—122no—
658C2×C3—124no—
659C2×C3#554712yes—
660C2×C3#554812yes—
661C2×C3D3×#12011yescharacteristic
662C2×C3#559612yes—
663C2×C3#560611yescharacteristic
664C2×C3#565612yes—
665C2×C3#566811yescharacteristic
666C2×C3#579111yescharacteristic
667C2×C3C2×#93711yescharacteristic
668C2×C3#583211yescharacteristic
669D3—44no—
670D3—42no—
671D3—42no—
672C22—62no—
673C22—64no—
674C22—64no—
675C22—64no—
676C22—62no—
677C22—62no—
678C22—62no—
679C22—64no—
680C22—122no—
681C22—121no—
682C22—122no—
683C22—122no—
684C22—122no—
685C22—122no—
686C22—122no—
687C22—122no—
688C22—121no—
689C22C2×#379511yescharacteristic
690C22D3×#23511yescharacteristic
691C22D32×D412yes—
692C22#6431912yes—
693C22C2×D3×#6711yescharacteristic
694C4—22no—
695C4—22no—
696C4—34no—
697C4—41no—
698C4—121no—
699C4—122no—
700C4—184no—
701C4—184no—
702C3—21no—
703C3#7688911yescharacteristic, complemented
704C3#8240011yescharacteristic, complemented
705C2—122no—
706C2—122no—
707C2—124no—
708C2#1059436712yes—
709C2#1059461412yes—
710C2#1059489211yescharacteristic
711C2D3×#93711yescharacteristic
712C2#1059535911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C4⋊C4C22
hypercenterC2×C4⋊C4D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#3795C2semidirect
2. C2×C3×#893C2semidirect
3. C2×#63879C2semidirect
4. #10592678C2semidirect
5. C3×#4991C2semidirect
6. #10591389C2semidirect
7. #10591389C2semidirect
8. #10591388C2semidirect
9. Dic3×(C2×D3)⋊C4C2semidirect
10. #10591322C2semidirect
11. #10591237C2semidirect
45. C2×#893D3semidirect
51. #4991D3semidirect
85. C2×C3×C4×D3D4semidirect
94. C2×D3×Dic3D4semidirect
184. C22×C3×D3#41semidirect
191. C2×C32×C4#41semidirect
197. C2×C3⋊Dic3#41semidirect
288. C2×C4×D3#67semidirect
410. C22×D3#235semidirect
441. C2×C3×C4#235semidirect
443. C2×C3×C4#237semidirect
604. C32#2388semidirect
649. C2×C4#3795semidirect
703. C3#76889semidirect
704. C3#82400semidirect

Maximal subgroups

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

subgroupindex
C22×#37952
C2×C3×#8932
C2×#638792
#105926782
C3×#49912
#105913892
#105913882
Dic3×(C2×D3)⋊C42
#105913222
#105912372
#824003
#768893