Finite Group Databasebeta

← #11808234

Subgroups — #11808234

Order 1152.

2017 conjugacy classes of subgroups.

The subgroup lattice has 721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#235C211yesmaximal, characteristic, complemented
2C2×C3×C4×#67C211yesmaximal, characteristic, complemented
3C2×C4×#625C212yesmaximal, complemented
4C4×#3757C211yesmaximal, characteristic, complemented
5#10591723C212yesmaximal, complemented
6#10591708C212yesmaximal, complemented
7#10591389C211yesmaximal, characteristic, complemented
8#10591344C211yesmaximal, characteristic, complemented
9#10591304C211yesmaximal, characteristic, complemented
10#10591300C211yesmaximal, characteristic, complemented
11C4×(C2×D3)⋊Dic3C212yesmaximal, complemented
12#84095—31nomaximal
13#82400—31nomaximal
14C23×C32×C4C2211yescharacteristic
15C22×C3×#67C2211yescharacteristic
16C22×C3×#67C2212yes—
17C2×C3×#235—24no—
18C2×C3×#235—28no—
19C22×C3×D12C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C22×C3×C4×D3C2212yes—
22C22×C3×Dic6C2211yescharacteristic
23C22×#625C2212yes—
24C2×#3757C2212yes—
25C2×C4×C3⋊Dic3C2212yes—
26C2×C3×#217C2211yescharacteristic
27C3×C4×#67—24no—
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×Dic3⋊C4C2211yescharacteristic
30C2×C3×C4×Dic3C2211yescharacteristic
31C2×#3724C2212yes—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×(C2×D3)⋊Dic3C2212yes—
36C4×#625—28no—
37#63658C2211yescharacteristic
38#63658C2211yescharacteristic
39#63579C2212yes—
40#63579C2212yes—
41C22×C3×#41—31no—
42C22×#235D311yescharacteristic, complemented
43C2×C3×C4×D4—31no—
44C2×C4×#67—32no—
45C2×C4×#67—32no—
46C2×C4×#67D311yescharacteristic, complemented
47#5231—31no—
48#5230—31no—
49#5223—32no—
50#5223—32no—
51#5223—31no—
52#5222—32no—
53#5222—31no—
54C4×#217—31no—
55C4×#217—31no—
56C4×#217—32no—
57C4×#217—61no—
58#4991—31no—
59#4979—31no—
60#4960—31no—
61#4959—32no—
62#4947—31no—
63C4×(C2×D3)⋊C4—32no—
64C24×C32C2311yescharacteristic
65C23×C3×D3C2312yes—
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4—24no—
68C22×C32×C4D414yescomplemented
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2311yescharacteristic
71C22×C3⋊Dic3C2312yes—
72C22×C3⋊Dic3C2312yes—
73C2×C3×#67—22no—
74C2×C3×#67—24no—
75C2×C3×#67—24no—
76C2×C3×#67—22no—
77C2×C3×#67—24no—
78C2×C3×#67—22no—
79C22×C3×Dic3C2311yescharacteristic
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2311yescharacteristic
83C3×#235—232no—
84C2×C3×D12—24no—
85C2×C3×D12—22no—
86C2×C3×C4×D3—24no—
87C2×C3×C4×D3—24no—
88C2×C3×C4×D3—22no—
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3D418yescomplemented
91C2×C3×Dic6—22no—
92C2×C3×Dic6—24no—
93C2×#625—24no—
94C2×#625—24no—
95C2×#625—24no—
96#3757—24no—
97C4×C3⋊Dic3—24no—
98C3×#217—22no—
99C3×(C2×D3)⋊C4—22no—
100C3×Dic3⋊C4—22no—
101C3×C4×Dic3—22no—
102#3724—24no—
103(C2×D3)⋊Dic3—24no—
104(C2×D3)⋊Dic3—24no—
105(C2×D3)⋊Dic3—24no—
106(C2×D3)⋊Dic3—24no—
107#2388—91noSylow
108C2×C3×#41—68no—
109C2×C3×#41—64no—
110C22×C3×Q8—31no—
111C22×C3×D4—32no—
112C22×C3×D4—31no—
113C22×C3×D4—31no—
114C23×C3×C4—21no—
115C23×C3×C4—32no—
116C23×C3×C4—31no—
117C23×C3×C4C2×D311yescharacteristic
118C23×C3×C4C2×D311yescharacteristic
119C22×#67—32no—
120C22×#67—32no—
121C22×#67C2×D312yes—
122C22×#67C2×D311yescharacteristic
123C2×#235—24no—
124C2×#235—28no—
125C22×D12C2×D311yescharacteristic
126C22×C4×D3C2×D311yescharacteristic
127C22×C4×D3C2×D312yes—
128C22×Dic6C2×D311yescharacteristic
129C3×C4×D4—64no—
130C2×C3×C4⋊C4—31no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4—31no—
133C2×C3×C42—31no—
134C2×#217—32no—
135C2×#217—32no—
136C2×#217—32no—
137C2×#217—32no—
138C2×#217—32no—
139C2×#217—32no—
140C2×#217—62no—
141C2×#217C2×D311yescharacteristic
142C4×#67—24no—
143C4×#67—68no—
144C4×#67—68no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4C2×D311yescharacteristic
150C2×Dic3⋊C4—32no—
151C2×Dic3⋊C4—32no—
152C2×Dic3⋊C4C2×D311yescharacteristic
153C2×C4×Dic3—32no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3—62no—
156C2×C4×Dic3C2×D311yescharacteristic
157C3⋊#95—31no—
158C3⋊#95—31no—
159C3⋊#95—31no—
160C3⋊#95—31no—
161C3⋊#95—32no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C3⋊#95—32no—
165C3⋊#95—61no—
166C3⋊#95—61no—
167C23×C32—22no—
168C23×C32—22no—
169C23×C32—21no—
170C23×C32—21no—
171C23×C32C2×D412yes—
172C23×C32C2411yescharacteristic
173C22×C3×D3—22no—
174C22×C3×D3—21no—
175C22×C3×D3—22no—
176C22×C3×D3—22no—
177C22×C3×D3—22no—
178C22×C3×D3—22no—
179C22×C3×D3—22no—
180C22×C3×D3—22no—
181C22×C3×D3—22no—
182C22×C3×D3—21no—
183C22×C3×D3C2×D414yes—
184C22×C3×D3#4112yescomplemented
185C2×C32×C4—22no—
186C2×C32×C4—28no—
187C2×C32×C4C2×D414yes—
188C2×C32×C4C2×D412yes—
189C2×C32×C4C2×D412yes—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3—22no—
194C2×C3⋊Dic3—22no—
195C2×C3⋊Dic3#4114yescomplemented
196C3×#67—216no—
197C3×#67—28no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3C2×D414yes—
207C2×C3×Dic3#4112yescomplemented
208C3×D12—28no—
209C3×C4×D3—216no—
210C3×C4×D3—44no—
211C3×Dic6—28no—
212#625—216no—
213C22×#41—31no—
214C2×C4×D4—31no—
215C2×C4×D4—92no—
216#395—91no—
217#394—92no—
218#394—91no—
219#393—91no—
220#392—91no—
221#392—92no—
222C4×C22⋊C4—92no—
223C4×C22⋊C4—91no—
224C24×C3—21no—
225C24×C3—32no—
226C24×C3—31no—
227C24×C3C22×D311yescharacteristic
228C24×C3C22×D311yescharacteristic
229C23×D3C22×D311yescharacteristic
230C23×D3C22×D312yes—
231C3×#41—632no—
232C2×C3×Q8—64no—
233C2×C3×Q8—62no—
234C2×C3×D4—64no—
235C2×C3×D4—62no—
236C2×C3×D4—64no—
237C2×C3×D4—62no—
238C2×C3×D4—64no—
239C2×C3×D4—62no—
240C2×C3×D4—64no—
241C2×C3×D4—62no—
242C22×C3×C4—24no—
243C22×C3×C4—24no—
244C22×C3×C4—24no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4—32no—
248C22×C3×C4—31no—
249C22×C3×C4—38no—
250C22×C3×C4—31no—
251C22×C3×C4—31no—
252C22×C3×C4—44no—
253C22×C3×C4—64no—
254C22×C3×C4—64no—
255C22×C3×C4—64no—
256C22×C3×C4—62no—
257C22×C3×C4#6714yescomplemented
258C22×C3×C4#6714yescomplemented
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C2×#67—22no—
264C2×#67—24no—
265C2×#67—22no—
266C2×#67—24no—
267C2×#67—22no—
268C2×#67—24no—
269C2×#67—64no—
270C2×#67—64no—
271C2×#67—64no—
272C2×#67—64no—
273C2×#67—64no—
274C2×#67—64no—
275C22×Dic3—32no—
276C22×Dic3—32no—
277C22×Dic3—32no—
278C22×Dic3—32no—
279C22×Dic3—62no—
280C22×Dic3—62no—
281C22×Dic3C22×D311yescharacteristic
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D311yescharacteristic
284C22×Dic3C22×D312yes—
285#235—232no—
286C2×D12—24no—
287C2×D12—22no—
288C2×C4×D3—24no—
289C2×C4×D3—24no—
290C2×C4×D3—24no—
291C2×C4×D3—22no—
292C2×C4×D3#6718yescomplemented
293C2×Dic6—22no—
294C2×Dic6—24no—
295C3×C4⋊C4—62no—
296C3×C22⋊C4—62no—
297C3×C22⋊C4—62no—
298C3×C42—62no—
299#217—22no—
300#217—64no—
301#217—64no—
302#217—64no—
303#217—64no—
304#217—68no—
305#217—64no—
306#217—64no—
307(C2×D3)⋊C4—22no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—64no—
312Dic3⋊C4—22no—
313Dic3⋊C4—64no—
314Dic3⋊C4—64no—
315C4×Dic3—22no—
316C4×Dic3—64no—
317C4×Dic3—64no—
318C4×Dic3—124no—
319C22×C32—22no—
320C22×C32—22no—
321C22×C32—22no—
322C22×C32—42no—
323C22×C32—42no—
324C22×C32C22×D412yes—
325C22×C32C22×D411yescharacteristic
326C22×C32C2×#4111yescharacteristic
327C22×C32C2×#4111yescharacteristic
328C22×C32C2×#4112yes—
329C2×C3×D3—24no—
330C2×C3×D3—24no—
331C2×C3×D3—24no—
332C2×C3×D3—22no—
333C2×C3×D3—24no—
334C2×C3×D3—41no—
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#12014yes—
343C3⋊Dic3—24no—
344C3⋊Dic3—42no—
345C3×Dic3—24no—
346C3×Dic3—22no—
347C3×Dic3—41no—
348C3×Dic3—41no—
349C2×#41—68no—
350C2×#41—64no—
351C22×Q8—31no—
352C22×D4—31no—
353C22×D4—32no—
354C22×D4—31no—
355C22×D4—92no—
356C23×C4—32no—
357C23×C4—31no—
358C23×C4D3211yescharacteristic
359C4×D4—64no—
360C4×D4—188no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—92no—
363C2×C22⋊C4—31no—
364C2×C22⋊C4—31no—
365C2×C22⋊C4—92no—
366C2×C22⋊C4—92no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C42—31no—
371C2×C42—92no—
372#95—92no—
373#95—92no—
374#95—91no—
375#95—91no—
376C23×C3—24no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—22no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—22no—
385C23×C3—21no—
386C23×C3—22no—
387C23×C3—34no—
388C23×C3—32no—
389C23×C3—42no—
390C23×C3—41no—
391C23×C3—41no—
392C23×C3—62no—
393C23×C3—62no—
394C23×C3—62no—
395C23×C3—62no—
396C23×C3—62no—
397C23×C3—62no—
398C23×C3—61no—
399C23×C3—62no—
400C23×C3—61no—
401C23×C3—62no—
402C23×C3C2×#6712yes—
403C23×C3C2×#6712yes—
404C23×C3C23×D311yescharacteristic
405C23×C3C23×D311yescharacteristic
406C22×D3—21no—
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—22no—
411C22×D3—22no—
412C22×D3—22no—
413C22×D3—21no—
414C22×D3—22no—
415C22×D3—22no—
416C22×D3#23512yescomplemented
417C22×D3C2×#6714yes—
418C3×Q8—68no—
419C3×D4—68no—
420C3×D4—68no—
421C3×D4—616no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—28no—
425C2×C3×C4—28no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—24no—
429C2×C3×C4—34no—
430C2×C3×C4—32no—
431C2×C3×C4—48no—
432C2×C3×C4—42no—
433C2×C3×C4—62no—
434C2×C3×C4—61no—
435C2×C3×C4—61no—
436C2×C3×C4—62no—
437C2×C3×C4—616no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—61no—
441C2×C3×C4—61no—
442C2×C3×C4—124no—
443C2×C3×C4D3×D414yes—
444C2×C3×C4C2×#6712yes—
445C2×C3×C4C2×#6712yes—
446C2×C3×C4C2×#6712yes—
447C2×C3×C4C2×#6712yes—
448C2×C3×C4C2×#6714yes—
449#67—216no—
450#67—28no—
451#67—616no—
452#67—616no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—21no—
460C2×Dic3—21no—
461C2×Dic3—34no—
462C2×Dic3—34no—
463C2×Dic3—64no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—64no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—122no—
476C2×Dic3—122no—
477C2×Dic3—122no—
478C2×Dic3—122no—
479C2×Dic3#23512yescomplemented
480C2×Dic3C2×#6714yes—
481D12—28no—
482C4×D3—216no—
483C4×D3—44no—
484Dic6—28no—
485C2×C32—42no—
486C2×C32C2×#12011yescharacteristic
487C2×C32#52511yescharacteristic
488C2×C32#52512yes—
489C2×C32#53212yes—
490C2×C32#53211yescharacteristic
491C3×D3—44no—
492C3×D3—42no—
493C24—31no—
494C24—32no—
495C24C2×D3211yescharacteristic
496#41—632no—
497C2×Q8—64no—
498C2×Q8—62no—
499C2×D4—64no—
500C2×D4—64no—
501C2×D4—62no—
502C2×D4—64no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—64no—
506C2×D4—62no—
507C2×D4—184no—
508C2×D4—184no—
509C2×D4—184no—
510C22×C4—24no—
511C22×C4—31no—
512C22×C4—32no—
513C22×C4—38no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—64no—
517C22×C4—64no—
518C22×C4—62no—
519C22×C4—64no—
520C22×C4—92no—
521C22×C4—92no—
522C22×C4#62514yescomplemented
523C22×C4C2×D3211yescharacteristic
524C22×C4C2×D3211yescharacteristic
525C4⋊C4—62no—
526C4⋊C4—184no—
527C22⋊C4—62no—
528C22⋊C4—62no—
529C22⋊C4—184no—
530C22⋊C4—184no—
531C22⋊C4—184no—
532C22⋊C4—184no—
533C22⋊C4—184no—
534C42—62no—
535C42—184no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—22no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—44no—
551C22×C3—44no—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—64no—
557C22×C3—64no—
558C22×C3—64no—
559C22×C3—64no—
560C22×C3—62no—
561C22×C3—122no—
562C22×C3—122no—
563C22×C3—122no—
564C22×C3—122no—
565C22×C3—121no—
566C22×C3—122no—
567C22×C3—121no—
568C22×C3C2×#23511yescharacteristic
569C22×C3C2×#23511yescharacteristic
570C22×C3C2×D3×D412yes—
571C22×C3D3×#4111yescharacteristic
572C22×C3D3×#4111yescharacteristic
573C22×C3D3×#4112yes—
574C22×C3D3×#4112yes—
575C22×C3C22×#6711yescharacteristic
576C22×C3C22×#6711yescharacteristic
577C22×C3C22×#6712yes—
578C2×D3—22no—
579C2×D3—24no—
580C2×D3—24no—
581C2×D3—24no—
582C2×D3—24no—
583C2×D3—41no—
584C2×D3—42no—
585C2×D3—42no—
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—41no—
590C3×C4—22no—
591C3×C4—22no—
592C3×C4—24no—
593C3×C4—42no—
594C3×C4—64no—
595C3×C4—62no—
596C3×C4—121no—
597C3×C4—121no—
598C3×C4#93714yes—
599C3×C4#95314yes—
600Dic3—22no—
601Dic3—24no—
602Dic3—41no—
603Dic3—41no—
604Dic3—64no—
605Dic3—64no—
606Dic3—124no—
607Dic3—124no—
608Dic3—122no—
609Dic3—122no—
610C32#238811yescharacteristic, complemented, Sylow
611C23—21no—
612C23—21no—
613C23—22no—
614C23—22no—
615C23—32no—
616C23—34no—
617C23—62no—
618C23—61no—
619C23—62no—
620C23—62no—
621C23—62no—
622C23—62no—
623C23—61no—
624C23—62no—
625C23—62no—
626C23—62no—
627C23C2×#62512yes—
628C23C22×D3211yescharacteristic
629Q8—68no—
630D4—68no—
631D4—616no—
632D4—68no—
633D4—1816no—
634C2×C4—22no—
635C2×C4—28no—
636C2×C4—32no—
637C2×C4—34no—
638C2×C4—61no—
639C2×C4—61no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—616no—
643C2×C4—62no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—62no—
647C2×C4—94no—
648C2×C4—124no—
649C2×C4—182no—
650C2×C4—182no—
651C2×C4—182no—
652C2×C4—182no—
653C2×C4—182no—
654C2×C4C2×#62512yes—
655C2×C4C2×#62512yes—
656C2×C4D3×#6714yes—
657C2×C3—21no—
658C2×C3—22no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—22no—
662C2×C3—44no—
663C2×C3—42no—
664C2×C3—42no—
665C2×C3—122no—
666C2×C3—124no—
667C2×C3#554712yes—
668C2×C3#554812yes—
669C2×C3#579111yescharacteristic
670C2×C3C2×#93711yescharacteristic
671C2×C3#582811yescharacteristic
672C2×C3#582812yes—
673C2×C3#583212yes—
674C2×C3#583211yescharacteristic
675C2×C3#583211yescharacteristic
676C2×C3C2×#95311yescharacteristic
677D3—44no—
678D3—42no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—42no—
683C22—42no—
684C22—64no—
685C22—64no—
686C22—62no—
687C22—64no—
688C22—64no—
689C22—121no—
690C22—122no—
691C22—122no—
692C22—122no—
693C22—122no—
694C22—121no—
695C22—122no—
696C22D3×#23511yescharacteristic
697C22D3×#23511yescharacteristic
698C22#6430612yes—
699C22C22×#62511yescharacteristic
700C22C2×D3×#6712yes—
701C4—22no—
702C4—64no—
703C4—62no—
704C4—121no—
705C4—121no—
706C4—184no—
707C4—362no—
708C4#6397614yes—
709C3—21no—
710C3#8240011yescharacteristic, complemented
711C3#8409511yescharacteristic, complemented
712C2—42no—
713C2—124no—
714C2—122no—
715C2#1059500312yes—
716C2#1059502211yescharacteristic
717C2#1059503211yescharacteristic
718C2#1059506012yes—
719C2C2×#6397611yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutator, socle, cosocleC23×C32C24
FrattiniC23C22×D32
FittingC23×C32×C4C22
hypercenterC23×C4D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#235C2semidirect
2. C2×C3×C4×#67C2semidirect
3. C2×C4×#625C2semidirect
4. C4×#3757C2semidirect
5. #10591723C2semidirect
6. #10591708C2semidirect
7. #10591389C2semidirect
8. #10591344C2semidirect
9. #10591304C2semidirect
10. #10591300C2semidirect
11. C4×(C2×D3)⋊Dic3C2semidirect
42. C22×#235D3semidirect
46. C2×C4×#67D3semidirect
68. C22×C32×C4D4semidirect
90. C2×C3×C4×D3D4semidirect
184. C22×C3×D3#41semidirect
195. C2×C3⋊Dic3#41semidirect
207. C2×C3×Dic3#41semidirect
257. C22×C3×C4#67semidirect
258. C22×C3×C4#67semidirect
292. C2×C4×D3#67semidirect
416. C22×D3#235semidirect
479. C2×Dic3#235semidirect
522. C22×C4#625semidirect
610. C32#2388semidirect
710. C3#82400semidirect
711. C3#84095semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2352
C2×C3×C4×#672
C2×C4×#6252
C4×#37572
#105917232
#105917082
#105913892
#105913442
#105913042
#105913002
C4×(C2×D3)⋊Dic32
#840953
#824003