Finite Group Databasebeta

← #11808221

Subgroups — #11808221

Order 1152.

2049 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#237C211yesmaximal, characteristic, complemented
2C2×#63952C212yesmaximal, complemented
3C2×#63904C211yesmaximal, characteristic, complemented
4#10592922C211yesmaximal, characteristic, complemented
5C3×#5222C211yesmaximal, characteristic, complemented
6#10591724C212yesmaximal, complemented
7#10591708C212yesmaximal, complemented
8Dic3×#217C212yesmaximal, complemented
9#10591344C211yesmaximal, characteristic, complemented
10#10591310C211yesmaximal, characteristic, complemented
11#10591237C211yesmaximal, characteristic, complemented
12#84095—31nomaximal
13#76889—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C22×#638C2212yes—
16C22×C3×#67C2212yes—
17C23×C3×Dic3C2212yes—
18C2×C3×#237—28no—
19C2×C3×#237—24no—
20C22×C3×C4×D3C2211yescharacteristic
21C22×C3×Dic6C2211yescharacteristic
22C22×#626C2211yescharacteristic
23C22×#624C2211yescharacteristic
24C2×#3757C2212yes—
25C2×#3752C2211yescharacteristic
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C2×C3×Dic3⋊C4C2211yescharacteristic
29C2×#3724C2212yes—
30C2×#3722C2212yes—
31C2×(C2×D3)⋊Dic3C2212yes—
32C2×(C2×D3)⋊Dic3C2211yescharacteristic
33C2×Dic32C2212yes—
34C2×Dic32C2211yescharacteristic
35#63952—28no—
36#63904—24no—
37#63658C2211yescharacteristic
38C3×C3⋊#95C2211yescharacteristic
39#63579C2212yes—
40#63579C2212yes—
41C22×C3×#41—31no—
42C22×#237D311yescharacteristic, complemented
43C2×C4×#67—32no—
44C2×C4×#67—31no—
45C2×#893—31no—
46C2×#67⋊C4—32no—
47C3×#394—31no—
48#5231—31no—
49#5230—31no—
50#5223—31no—
51#5223—31no—
52#5223—32no—
53#5223—61no—
54#5222—32no—
55#5222D311yescharacteristic, complemented
56C4×#217—32no—
57C4×#217—31no—
58#4979—31no—
59#4960—32no—
60#4959—32no—
61Dic3×C22⋊C4—32no—
62#4673—31no—
63#4666—31no—
64C24×C32C2312yes—
65C23×C3⋊D3C2311yescharacteristic
66C23×C3×D3C2311yescharacteristic
67C2×C32×D4—24no—
68C2×C32×D4—22no—
69C22×C32×C4C2311yescharacteristic
70C2×#638—24no—
71C2×#638—24no—
72C2×#638—24no—
73C22×C3⋊Dic3C2311yescharacteristic
74C22×C3⋊Dic3C2312yes—
75C2×C3×#67—24no—
76C2×C3×#67—24no—
77C2×C3×#67—24no—
78C22×C3×Dic3—24no—
79C22×C3×Dic3—24no—
80C22×C3×Dic3D418yescomplemented
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C3×#237—232no—
87C2×C3×C4×D3—24no—
88C2×C3×C4×D3D414yescomplemented
89C2×C3×Dic6—22no—
90C2×C3×Dic6—24no—
91C2×#626—22no—
92C2×#626—22no—
93C2×#626—22no—
94C2×#624—22no—
95C2×#624—24no—
96#3757—24no—
97#3752—22no—
98C3×#217—24no—
99C3×#217—24no—
100C3×Dic3⋊C4—22no—
101#3724—24no—
102#3722—24no—
103(C2×D3)⋊Dic3—22no—
104(C2×D3)⋊Dic3—24no—
105Dic32—22no—
106Dic32—24no—
107#2388—91noSylow
108C2×C3×#41—68no—
109C2×C3×#41—64no—
110C22×C3×Q8—31no—
111C22×C3×D4—21no—
112C22×C3×D4—32no—
113C22×C3×D4C2×D311yescharacteristic
114C22×C3×D4C2×D311yescharacteristic
115C23×C3×C4—32no—
116C23×C3×C4—31no—
117C22×#67—32no—
118C22×#67—32no—
119C22×#67—31no—
120C22×#67—62no—
121C22×#67C2×D312yes—
122C23×Dic3C2×D312yes—
123C2×#237—28no—
124C2×#237—24no—
125C22×D12—31no—
126C22×C4×D3—31no—
127C22×C4×D3—31no—
128C22×C4×D3C2×D311yescharacteristic
129C22×Dic6C2×D311yescharacteristic
130C2×C3×C4⋊C4—31no—
131C2×C3×C22⋊C4—32no—
132C2×C3×C22⋊C4—32no—
133C2×#217—32no—
134C2×#217—32no—
135C2×#217—32no—
136C2×#217—31no—
137C2×#217—62no—
138C2×#217C2×D312yes—
139C2×#217C2×D312yes—
140C4×#67—64no—
141C4×#67—68no—
142C2×(C2×D3)⋊C4—32no—
143C2×(C2×D3)⋊C4—31no—
144C2×(C2×D3)⋊C4—31no—
145C2×(C2×D3)⋊C4—31no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—61no—
149C2×Dic3⋊C4—32no—
150C2×Dic3⋊C4—32no—
151C2×Dic3⋊C4C2×D311yescharacteristic
152C2×C4×Dic3—32no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3—31no—
156#893—64no—
157#67⋊C4—68no—
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⋊#95C2×D311yescharacteristic
167C23×C32—22no—
168C23×C32—22no—
169C23×C32—22no—
170C23×C32—22no—
171C23×C32—22no—
172C23×C32—22no—
173C23×C32C2×D414yes—
174C23×C32C2411yescharacteristic
175C22×C3⋊D3—22no—
176C22×C3⋊D3—21no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—22no—
179C22×C3⋊D3#4112yescomplemented
180C22×C3×D3—22no—
181C22×C3×D3—22no—
182C22×C3×D3—21no—
183C22×C3×D3—21no—
184C22×C3×D3C2×D412yes—
185C32×D4—28no—
186C2×C32×C4—22no—
187C2×C32×C4C2×D412yes—
188#638—216no—
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—21no—
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3#4114yescomplemented
194C3×#67—216no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—216no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3C2×D414yes—
206C2×C3×Dic3C2×D414yes—
207C2×C3×Dic3C2×D412yes—
208C2×C3×Dic3#4112yescomplemented
209C3×C4×D3—28no—
210C3×Dic6—28no—
211#626—28no—
212#624—44no—
213C22×#41—31no—
214C2×C4×D4—92no—
215C2×C4×D4—91no—
216#395—91no—
217#394—31no—
218#394—92no—
219#393—91no—
220#392—92no—
221#392—91no—
222C4×C22⋊C4—91no—
223C4×C22⋊C4—92no—
224C24×C3—22no—
225C24×C3—31no—
226C24×C3C22×D312yes—
227C24×C3C22×D312yes—
228C23×D3—31no—
229C23×D3—31no—
230C23×D3—61no—
231C23×D3C22×D311yescharacteristic
232C3×#41—632no—
233C2×C3×Q8—64no—
234C2×C3×Q8—62no—
235C2×C3×D4—24no—
236C2×C3×D4—24no—
237C2×C3×D4—22no—
238C2×C3×D4—22no—
239C2×C3×D4—42no—
240C2×C3×D4—44no—
241C2×C3×D4—64no—
242C2×C3×D4—64no—
243C2×C3×D4—64no—
244C22×C3×C4—21no—
245C22×C3×C4—31no—
246C22×C3×C4—38no—
247C22×C3×C4—31no—
248C22×C3×C4—32no—
249C22×C3×C4—34no—
250C22×C3×C4—32no—
251C22×C3×C4—31no—
252C22×C3×C4—64no—
253C22×C3×C4—64no—
254C22×C3×C4—64no—
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C2×#67—24no—
258C2×#67—24no—
259C2×#67—24no—
260C2×#67—62no—
261C2×#67—62no—
262C2×#67—64no—
263C2×#67—64no—
264C2×#67—64no—
265C2×#67—64no—
266C2×#67—64no—
267C2×#67—64no—
268C2×#67—62no—
269C2×#67—124no—
270C2×#67—124no—
271C2×#67—124no—
272C22×Dic3—24no—
273C22×Dic3—24no—
274C22×Dic3—32no—
275C22×Dic3—32no—
276C22×Dic3—31no—
277C22×Dic3—31no—
278C22×Dic3—62no—
279C22×Dic3—61no—
280C22×Dic3#6718yescomplemented
281C22×Dic3C22×D312yes—
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D311yescharacteristic
284C22×Dic3C22×D312yes—
285C22×Dic3C22×D311yescharacteristic
286#237—232no—
287C2×D12—62no—
288C2×D12—62no—
289C2×D12—62no—
290C2×C4×D3—24no—
291C2×C4×D3—62no—
292C2×C4×D3—64no—
293C2×C4×D3—64no—
294C2×C4×D3—62no—
295C2×C4×D3#6714yescomplemented
296C2×Dic6—22no—
297C2×Dic6—24no—
298C3×C4⋊C4—62no—
299C3×C22⋊C4—64no—
300C3×C22⋊C4—64no—
301#217—24no—
302#217—24no—
303#217—64no—
304#217—62no—
305#217—64no—
306#217—64no—
307#217—124no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—62no—
311(C2×D3)⋊C4—62no—
312(C2×D3)⋊C4—62no—
313(C2×D3)⋊C4—64no—
314(C2×D3)⋊C4—122no—
315Dic3⋊C4—22no—
316Dic3⋊C4—64no—
317Dic3⋊C4—64no—
318C4×Dic3—62no—
319C4×Dic3—64no—
320C4×Dic3—64no—
321C4×Dic3—62no—
322C22×C32—24no—
323C22×C32—24no—
324C22×C32—24no—
325C22×C32—42no—
326C22×C32—42no—
327C22×C32—42no—
328C22×C32—42no—
329C22×C32C22×D411yescharacteristic
330C22×C32C22×D412yes—
331C22×C32C2×#4111yescharacteristic
332C22×C32C2×#4111yescharacteristic
333C22×C32C2×#4112yes—
334C2×C3⋊D3—22no—
335C2×C3⋊D3—24no—
336C2×C3⋊D3—41no—
337C2×C3⋊D3—41no—
338C2×C3⋊D3—42no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3—22no—
342C2×C3×D3—42no—
343C2×C3×D3—42no—
344C32×C4—22no—
345C3⋊Dic3—24no—
346C3⋊Dic3—41no—
347C3×Dic3—24no—
348C3×Dic3—22no—
349C3×Dic3—41no—
350C3×Dic3—42no—
351C3×Dic3#12014yes—
352C2×#41—68no—
353C2×#41—64no—
354C22×Q8—31no—
355C22×D4—32no—
356C22×D4—91no—
357C22×D4—92no—
358C22×D4D3211yescharacteristic
359C23×C4—32no—
360C23×C4—31no—
361C23×C4—91no—
362C4×D4—188no—
363C4×D4—184no—
364C2×C4⋊C4—31no—
365C2×C4⋊C4—92no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—91no—
370C2×C22⋊C4—92no—
371C2×C22⋊C4—92no—
372C2×C22⋊C4—91no—
373C2×C42—91no—
374C2×C42—92no—
375#95—31no—
376#95—92no—
377#95—92no—
378#95—91no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—22no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—24no—
393C23×C3—32no—
394C23×C3—42no—
395C23×C3—42no—
396C23×C3—42no—
397C23×C3—42no—
398C23×C3—42no—
399C23×C3—42no—
400C23×C3—62no—
401C23×C3—61no—
402C23×C3—62no—
403C23×C3—61no—
404C23×C3D3×D414yes—
405C23×C3C2×#6714yes—
406C23×C3C23×D311yescharacteristic
407C23×C3C23×D311yescharacteristic
408C22×D3—22no—
409C22×D3—21no—
410C22×D3—21no—
411C22×D3—22no—
412C22×D3—32no—
413C22×D3—32no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—61no—
417C22×D3—61no—
418C22×D3—61no—
419C22×D3—62no—
420C22×D3—62no—
421C22×D3—61no—
422C22×D3—62no—
423C22×D3—121no—
424C22×D3—122no—
425C22×D3—122no—
426C22×D3—121no—
427C22×D3C2×#6712yes—
428C3×Q8—68no—
429C3×D4—28no—
430C3×D4—28no—
431C3×D4—48no—
432C3×D4—616no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—34no—
437C2×C3×C4—32no—
438C2×C3×C4—34no—
439C2×C3×C4—32no—
440C2×C3×C4—42no—
441C2×C3×C4—68no—
442C2×C3×C4—616no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—61no—
446C2×C3×C4—61no—
447C2×C3×C4—62no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—61no—
452C2×C3×C4D3×D412yes—
453C2×C3×C4C2×#6712yes—
454#67—216no—
455#67—68no—
456#67—616no—
457#67—616no—
458#67—1216no—
459C2×Dic3—21no—
460C2×Dic3—21no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—216no—
464C2×Dic3—22no—
465C2×Dic3—21no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—34no—
470C2×Dic3—34no—
471C2×Dic3—64no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—62no—
476C2×Dic3—61no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—61no—
480C2×Dic3—122no—
481C2×Dic3—122no—
482C2×Dic3—121no—
483C2×Dic3—122no—
484C2×Dic3#23712yescomplemented
485C2×Dic3C2×#6714yes—
486C2×Dic3C2×#6714yes—
487C2×Dic3C2×#6712yes—
488D12—68no—
489C4×D3—28no—
490C4×D3—124no—
491C4×D3—124no—
492Dic6—28no—
493C2×C32—44no—
494C2×C32C2×#12011yescharacteristic
495C2×C32#52512yes—
496C2×C32#52511yescharacteristic
497C2×C32#53211yescharacteristic
498C2×C32#53212yes—
499C3⋊D3—42no—
500C3×D3—42no—
501C24—31no—
502C24—91no—
503C24C2×D3212yes—
504#41—632no—
505C2×Q8—64no—
506C2×Q8—62no—
507C2×D4—24no—
508C2×D4—22no—
509C2×D4—64no—
510C2×D4—64no—
511C2×D4—64no—
512C2×D4—182no—
513C2×D4—182no—
514C2×D4—182no—
515C2×D4—184no—
516C2×D4—184no—
517C2×D4—184no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—32no—
521C22×C4—38no—
522C22×C4—34no—
523C22×C4—32no—
524C22×C4—31no—
525C22×C4—64no—
526C22×C4—64no—
527C22×C4—64no—
528C22×C4—92no—
529C22×C4—91no—
530C22×C4—184no—
531C22×C4—182no—
532C22×C4C2×D3211yescharacteristic
533C4⋊C4—62no—
534C4⋊C4—184no—
535C22⋊C4—64no—
536C22⋊C4—64no—
537C22⋊C4—184no—
538C22⋊C4—184no—
539C22⋊C4—182no—
540C22⋊C4—184no—
541C22⋊C4—182no—
542C42—182no—
543C42—184no—
544C22×C3—24no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—21no—
551C22×C3—22no—
552C22×C3—21no—
553C22×C3—21no—
554C22×C3—22no—
555C22×C3—44no—
556C22×C3—44no—
557C22×C3—44no—
558C22×C3—42no—
559C22×C3—42no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3—42no—
563C22×C3—42no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—62no—
567C22×C3—62no—
568C22×C3—62no—
569C22×C3—82no—
570C22×C3—82no—
571C22×C3—82no—
572C22×C3—82no—
573C22×C3—122no—
574C22×C3—122no—
575C22×C3C2×D3×D412yes—
576C22×C3C2×D3×D411yescharacteristic
577C22×C3C2×#23711yescharacteristic
578C22×C3D3×#4111yescharacteristic
579C22×C3D3×#4111yescharacteristic
580C22×C3D3×#4112yes—
581C22×C3D3×#4111yescharacteristic
582C22×C3D3×#4112yes—
583C22×C3C22×#6711yescharacteristic
584C22×C3C22×#6712yes—
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—64no—
591C2×D3—62no—
592C2×D3—64no—
593C2×D3—62no—
594C2×D3—124no—
595C2×D3—122no—
596C2×D3—121no—
597C2×D3—121no—
598C2×D3—122no—
599C2×D3—121no—
600C2×D3—121no—
601C2×D3—122no—
602C2×D3—241no—
603C2×D3—242no—
604C2×D3—241no—
605C3×C4—22no—
606C3×C4—22no—
607C3×C4—34no—
608C3×C4—42no—
609C3×C4—62no—
610C3×C4—64no—
611C3×C4—122no—
612C3×C4—121no—
613Dic3—24no—
614Dic3—22no—
615Dic3—41no—
616Dic3—42no—
617Dic3—64no—
618Dic3—64no—
619Dic3—124no—
620Dic3—121no—
621Dic3—121no—
622Dic3—241no—
623Dic3#95314yes—
624C32#238811yescharacteristic, complemented, Sylow
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—32no—
632C23—61no—
633C23—62no—
634C23—61no—
635C23—62no—
636C23—92no—
637C23—181no—
638C23—182no—
639C23—182no—
640C23—181no—
641C23D3×#6714yes—
642C23C22×D3211yescharacteristic
643Q8—68no—
644D4—28no—
645D4—616no—
646D4—188no—
647D4—1816no—
648C2×C4—22no—
649C2×C4—32no—
650C2×C4—34no—
651C2×C4—32no—
652C2×C4—34no—
653C2×C4—68no—
654C2×C4—616no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—61no—
664C2×C4—94no—
665C2×C4—182no—
666C2×C4—182no—
667C2×C4—182no—
668C2×C4—181no—
669C2×C4—364no—
670C2×C4D3×#6712yes—
671C2×C3—21no—
672C2×C3—22no—
673C2×C3—22no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—44no—
677C2×C3—44no—
678C2×C3—84no—
679C2×C3—122no—
680C2×C3D3×#12011yescharacteristic
681C2×C3#559612yes—
682C2×C3#560611yescharacteristic
683C2×C3#565612yes—
684C2×C3#566811yescharacteristic
685C2×C3#582812yes—
686C2×C3#582811yescharacteristic
687C2×C3#583211yescharacteristic
688C2×C3#583212yes—
689C2×C3C2×#95311yescharacteristic
690D3—42no—
691D3—122no—
692D3—122no—
693D3—242no—
694C22—24no—
695C22—24no—
696C22—24no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—122no—
705C22—122no—
706C22—184no—
707C22—182no—
708C22—361no—
709C22—362no—
710C22—361no—
711C22D3×#23711yescharacteristic
712C22#6431212yes—
713C22#6431211yescharacteristic
714C22C2×D3×#6711yescharacteristic
715C22C2×D3×#6712yes—
716C4—22no—
717C4—34no—
718C4—64no—
719C4—62no—
720C4—122no—
721C4—121no—
722C4—184no—
723C4—361no—
724C3—21no—
725C3#7688911yescharacteristic, complemented
726C3#8409511yescharacteristic, complemented
727C2—44no—
728C2—122no—
729C2—362no—
730C2#1059515311yescharacteristic
731C2#1059515512yes—
732C2#1059515912yes—
733C2#1059530111yescharacteristic
734C2D3×#95311yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC22×C32×D4C22
hypercenterC22×D4D32
hypocenterC32#2388
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#237C2semidirect
2. C2×#63952C2semidirect
3. C2×#63904C2semidirect
4. #10592922C2semidirect
5. C3×#5222C2semidirect
6. #10591724C2semidirect
7. #10591708C2semidirect
8. Dic3×#217C2semidirect
9. #10591344C2semidirect
10. #10591310C2semidirect
11. #10591237C2semidirect
42. C22×#237D3semidirect
55. #5222D3semidirect
80. C22×C3×Dic3D4semidirect
88. C2×C3×C4×D3D4semidirect
179. C22×C3⋊D3#41semidirect
193. C2×C3⋊Dic3#41semidirect
208. C2×C3×Dic3#41semidirect
280. C22×Dic3#67semidirect
295. C2×C4×D3#67semidirect
484. C2×Dic3#237semidirect
624. C32#2388semidirect
725. C3#76889semidirect
726. C3#84095semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2372
C2×#639522
C2×#639042
#105929222
C3×#52222
#105917242
#105917082
Dic3×#2172
#105913442
#105913102
#105912372
#840953
#768893