Finite Group Databasebeta

← #11808249

Subgroups — #11808249

Order 1152.

2007 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3799C211yesmaximal, characteristic, complemented
2C2×C3×#893C211yesmaximal, characteristic, complemented
3C2×#63904C212yesmaximal, complemented
4#10592690C211yesmaximal, characteristic, complemented
5C3×#4979C211yesmaximal, characteristic, complemented
6#10591395C211yesmaximal, characteristic, complemented
7#10591391C212yesmaximal, complemented
8#10591304C211yesmaximal, characteristic, complemented
9#10591291C212yesmaximal, complemented
10#10591237C211yesmaximal, characteristic, complemented
11#10591233C212yesmaximal, complemented
12#82400—31nomaximal
13#77169—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic
19C22×#626C2212yes—
20C22×#626C2212yes—
21C22×#624C2212yes—
22C2×#3799—24no—
23C2×#3799—28no—
24C2×C32×C4⋊C4C2211yescharacteristic
25C2×#3752C2212yes—
26C2×#3752C2212yes—
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×C4×Dic3C2211yescharacteristic
31C3×#893—24no—
32C2×#3722C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2212yes—
36#63904—28no—
37#63658C2211yescharacteristic
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C22×#239—31no—
42C22×#235—31no—
43C2×C3×C4×D4—31no—
44C2×C4×#67—32no—
45C2×#893—32no—
46C2×#893D311yescharacteristic, complemented
47C3×#395—31no—
48#5231—31no—
49#5223—32no—
50C4×#217—31no—
51#4991—31no—
52#4991—31no—
53#4991—32no—
54#4991—61no—
55#4979D311yescharacteristic, complemented
56#4960—31no—
57#4959—32no—
58#4947—31no—
59C4×(C2×D3)⋊C4—32no—
60#4671—32no—
61#4671—31no—
62#4666—31no—
63#4666—32no—
64C23×C3⋊D3C2312yes—
65C23×C3×D3C2311yescharacteristic
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C3⋊Dic3C2312yes—
71C2×C4⋊(C3⋊D3)—24no—
72C2×C4⋊(C3⋊D3)—22no—
73C22×C3×Dic3C2311yescharacteristic
74C22×C3×Dic3C2312yes—
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C2×C3×D12—22no—
78C2×C3×D12—22no—
79C2×C3×D12—22no—
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3D414yescomplemented
84C2×C3×Dic6—22no—
85C2×C3×Dic6—24no—
86C2×#626—24no—
87C2×#626—24no—
88C2×#626—24no—
89C2×#626—24no—
90C2×#626—24no—
91C2×#626—24no—
92C2×#624—24no—
93C2×#624—24no—
94C2×#624D418yescomplemented
95#3799—232no—
96C32×C4⋊C4—22no—
97#3752—24no—
98#3752—24no—
99C3×(C2×D3)⋊C4—22no—
100C3×(C2×D3)⋊C4—22no—
101C3×Dic3⋊C4—24no—
102C3×C4×Dic3—22no—
103#3722—24no—
104(C2×D3)⋊Dic3—24no—
105(C2×D3)⋊Dic3—24no—
106Dic32—24no—
107#2388—91noSylow
108C22×C3×Q8—31no—
109C22×C3×D4—31no—
110C23×C3×C4—31no—
111C23×C3×C4—31no—
112C22×#67—32no—
113C22×#67—32no—
114C2×#239—68no—
115C2×#239—64no—
116C2×#235—68no—
117C2×#235—64no—
118C22×D12—32no—
119C22×D12—32no—
120C22×D12—31no—
121C22×D12—31no—
122C22×D12—61no—
123C22×D12C2×D311yescharacteristic
124C22×C4×D3—32no—
125C22×C4×D3—32no—
126C22×C4×D3C2×D311yescharacteristic
127C22×C4×D3C2×D311yescharacteristic
128C22×Dic6C2×D311yescharacteristic
129C3×C4×D4—64no—
130C2×C3×C4⋊C4—21no—
131C2×C3×C4⋊C4—32no—
132C2×C3×C4⋊C4C2×D311yescharacteristic
133C2×C3×C4⋊C4C2×D311yescharacteristic
134C2×C3×C22⋊C4—31no—
135C2×C3×C22⋊C4—31no—
136C2×C3×C42—31no—
137C2×#217—32no—
138C2×#217—32no—
139C4×#67—68no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—32no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—62no—
149C2×(C2×D3)⋊C4—62no—
150C2×(C2×D3)⋊C4C2×D311yescharacteristic
151C2×(C2×D3)⋊C4C2×D311yescharacteristic
152C2×Dic3⋊C4C2×D312yes—
153C2×C4×Dic3—32no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3C2×D311yescharacteristic
156#893—24no—
157#893—68no—
158C3×#95—32no—
159C3×#95—31no—
160C3⋊#95—31no—
161C3⋊#95—31no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C3⋊#95—61no—
165C3⋊#95C2×D312yes—
166C3⋊#95C2×D311yescharacteristic
167C23×C32C2411yescharacteristic
168C22×C3⋊D3—22no—
169C22×C3⋊D3—22no—
170C22×C3⋊D3—22no—
171C22×C3⋊D3—22no—
172C22×C3⋊D3—22no—
173C22×C3⋊D3—22no—
174C22×C3⋊D3C2×D414yes—
175C22×C3×D3—22no—
176C22×C3×D3—21no—
177C22×C3×D3—22no—
178C22×C3×D3—22no—
179C22×C3×D3—22no—
180C22×C3×D3—21no—
181C22×C3×D3—21no—
182C22×C3×D3—21no—
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—
195C4⋊(C3⋊D3)—28no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3C2×D414yes—
203C2×C3×Dic3C2×D414yes—
204C2×C3×Dic3C2×D412yes—
205C2×C3×Dic3#4114yescomplemented
206C3×D12—28no—
207C3×C4×D3—28no—
208C3×C4×D3—44no—
209C3×Dic6—28no—
210#626—216no—
211#626—216no—
212#624—216no—
213C22×#41—91no—
214C2×C4×D4—31no—
215C2×C4×D4—92no—
216#395—31no—
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—31no—
225C24×C3—31no—
226C23×D3—32no—
227C23×D3—32no—
228C23×D3—62no—
229C23×D3C22×D311yescharacteristic
230C23×D3C22×D311yescharacteristic
231C2×C3×Q8—64no—
232C2×C3×Q8—62no—
233C2×C3×D4—62no—
234C2×C3×D4—62no—
235C2×C3×D4—62no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—31no—
240C22×C3×C4—32no—
241C22×C3×C4—32no—
242C22×C3×C4—34no—
243C22×C3×C4—31no—
244C22×C3×C4—64no—
245C22×C3×C4—64no—
246C22×C3×C4—62no—
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C22×D311yescharacteristic
253C2×#67—64no—
254C2×#67—64no—
255C2×#67—64no—
256C2×#67—64no—
257C2×#67—64no—
258C2×#67—64no—
259C22×Dic3—32no—
260C22×Dic3—32no—
261C22×Dic3—62no—
262C22×Dic3C22×D311yescharacteristic
263C22×Dic3C22×D312yes—
264C22×Dic3C22×D312yes—
265C22×Dic3C22×D311yescharacteristic
266#239—632no—
267#235—632no—
268C2×D12—22no—
269C2×D12—22no—
270C2×D12—22no—
271C2×D12—64no—
272C2×D12—64no—
273C2×D12—64no—
274C2×D12—64no—
275C2×D12—64no—
276C2×D12—64no—
277C2×D12—64no—
278C2×D12—64no—
279C2×D12—62no—
280C2×D12—62no—
281C2×D12—122no—
282C2×D12—124no—
283C2×C4×D3—24no—
284C2×C4×D3—24no—
285C2×C4×D3—22no—
286C2×C4×D3—38no—
287C2×C4×D3—38no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—64no—
292C2×C4×D3#6714yescomplemented
293C2×Dic6—22no—
294C2×Dic6—24no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—22no—
297C3×C4⋊C4—42no—
298C3×C4⋊C4—64no—
299C3×C22⋊C4—62no—
300C3×C22⋊C4—62no—
301C3×C42—62no—
302#217—64no—
303#217—64no—
304(C2×D3)⋊C4—22no—
305(C2×D3)⋊C4—22no—
306(C2×D3)⋊C4—64no—
307(C2×D3)⋊C4—64no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—64no—
312(C2×D3)⋊C4—64no—
313(C2×D3)⋊C4—64no—
314(C2×D3)⋊C4—124no—
315(C2×D3)⋊C4—124no—
316Dic3⋊C4—24no—
317C4×Dic3—22no—
318C4×Dic3—64no—
319C4×Dic3—64no—
320C22×C32C22×D412yes—
321C22×C32C22×D411yescharacteristic
322C22×C32C2×#4111yescharacteristic
323C22×C32C2×#4111yescharacteristic
324C22×C32C2×#4112yes—
325C2×C3⋊D3—24no—
326C2×C3⋊D3—24no—
327C2×C3⋊D3—24no—
328C2×C3⋊D3—42no—
329C2×C3⋊D3—42no—
330C2×C3⋊D3—42no—
331C2×C3⋊D3—42no—
332C2×C3×D3—22no—
333C2×C3×D3—24no—
334C2×C3×D3—22no—
335C2×C3×D3—22no—
336C2×C3×D3—22no—
337C2×C3×D3—41no—
338C2×C3×D3—42no—
339C2×C3×D3—42no—
340C2×C3×D3—42no—
341C2×C3×D3—41no—
342C32×C4—22no—
343C32×C4—22no—
344C32×C4—41no—
345C3⋊Dic3—42no—
346C3×Dic3—24no—
347C3×Dic3—24no—
348C3×Dic3—41no—
349C3×Dic3#12014yes—
350C2×#41—184no—
351C2×#41—188no—
352C22×Q8—31no—
353C22×D4—31no—
354C22×D4—92no—
355C22×D4—92no—
356C22×D4—91no—
357C23×C4—31no—
358C23×C4—31no—
359C23×C4—92no—
360C4×D4—64no—
361C4×D4—188no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4D3211yescharacteristic
364C2×C22⋊C4—31no—
365C2×C22⋊C4—31no—
366C2×C22⋊C4—92no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C22⋊C4—92no—
371C2×C42—31no—
372C2×C42—92no—
373#95—31no—
374#95—32no—
375#95—92no—
376#95—91no—
377C23×C3—21no—
378C23×C3—32no—
379C23×C3—32no—
380C23×C3—62no—
381C23×C3—61no—
382C23×C3—62no—
383C23×C3—62no—
384C23×C3—62no—
385C23×C3—61no—
386C23×C3—61no—
387C23×C3—61no—
388C23×C3C23×D311yescharacteristic
389C23×C3C23×D311yescharacteristic
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—22no—
394C22×D3—22no—
395C22×D3—22no—
396C22×D3—22no—
397C22×D3—21no—
398C22×D3—34no—
399C22×D3—34no—
400C22×D3—64no—
401C22×D3—62no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—62no—
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—122no—
414C22×D3—122no—
415C22×D3—122no—
416C22×D3—122no—
417C22×D3—122no—
418C22×D3—122no—
419C22×D3#23512yescomplemented
420C22×D3C2×#6712yes—
421C3×Q8—68no—
422C3×D4—68no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—34no—
436C2×C3×C4—32no—
437C2×C3×C4—34no—
438C2×C3×C4—34no—
439C2×C3×C4—41no—
440C2×C3×C4—42no—
441C2×C3×C4—41no—
442C2×C3×C4—42no—
443C2×C3×C4—41no—
444C2×C3×C4—68no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—62no—
449C2×C3×C4—61no—
450C2×C3×C4—62no—
451C2×C3×C4—124no—
452C2×C3×C4#23512yescomplemented
453C2×C3×C4D3×D412yes—
454C2×C3×C4#23912yescomplemented
455C2×C3×C4C2×#6712yes—
456#67—616no—
457#67—616no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—21no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—62no—
469C2×Dic3—62no—
470C2×Dic3—122no—
471C2×Dic3—122no—
472C2×Dic3—122no—
473C2×Dic3D3×D414yes—
474C2×Dic3D3×D414yes—
475C2×Dic3#23914yescomplemented
476C2×Dic3C2×#6712yes—
477D12—28no—
478D12—68no—
479D12—68no—
480D12—616no—
481D12—616no—
482D12—128no—
483C4×D3—28no—
484C4×D3—44no—
485C4×D3—616no—
486C4×D3—616no—
487Dic6—28no—
488C2×C32C2×#12011yescharacteristic
489C2×C32#52511yescharacteristic
490C2×C32#52512yes—
491C2×C32#53212yes—
492C2×C32#53211yescharacteristic
493C3⋊D3—44no—
494C3×D3—42no—
495C3×D3—42no—
496C24—31no—
497C24—31no—
498C24—92no—
499#41—1832no—
500C2×Q8—64no—
501C2×Q8—62no—
502C2×D4—62no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—184no—
506C2×D4—184no—
507C2×D4—184no—
508C2×D4—184no—
509C2×D4—184no—
510C2×D4—184no—
511C2×D4—184no—
512C2×D4—182no—
513C22×C4—31no—
514C22×C4—32no—
515C22×C4—32no—
516C22×C4—34no—
517C22×C4—31no—
518C22×C4—64no—
519C22×C4—62no—
520C22×C4—64no—
521C22×C4—98no—
522C22×C4—92no—
523C22×C4—184no—
524C22×C4—184no—
525C22×C4C2×D3211yescharacteristic
526C22×C4C2×D3211yescharacteristic
527C22×C4C2×D3211yescharacteristic
528C4⋊C4—22no—
529C4⋊C4—64no—
530C22⋊C4—62no—
531C22⋊C4—62no—
532C22⋊C4—184no—
533C22⋊C4—184no—
534C22⋊C4—184no—
535C22⋊C4—184no—
536C22⋊C4—184no—
537C42—62no—
538C42—184no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—21no—
544C22×C3—62no—
545C22×C3—62no—
546C22×C3—64no—
547C22×C3—62no—
548C22×C3—62no—
549C22×C3—121no—
550C22×C3—122no—
551C22×C3—122no—
552C22×C3—121no—
553C22×C3—122no—
554C22×C3C2×#23511yescharacteristic
555C22×C3C2×#23511yescharacteristic
556C22×C3C2×D3×D412yes—
557C22×C3C2×D3×D412yes—
558C22×C3C2×D3×D411yescharacteristic
559C22×C3C2×#23911yescharacteristic
560C22×C3C2×#23912yes—
561C22×C3D3×#4111yescharacteristic
562C22×C3D3×#4112yes—
563C22×C3C22×#6711yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—24no—
568C2×D3—22no—
569C2×D3—41no—
570C2×D3—42no—
571C2×D3—42no—
572C2×D3—42no—
573C2×D3—41no—
574C2×D3—64no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—124no—
581C2×D3—124no—
582C2×D3—124no—
583C2×D3—122no—
584C2×D3—122no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—122no—
588C2×D3—122no—
589C2×D3—122no—
590C2×D3—122no—
591C2×D3—242no—
592C2×D3—242no—
593C2×D3—242no—
594C2×D3—242no—
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—22no—
599C3×C4—34no—
600C3×C4—42no—
601C3×C4—42no—
602C3×C4—41no—
603C3×C4—41no—
604C3×C4—64no—
605C3×C4—64no—
606C3×C4—81no—
607C3×C4—121no—
608Dic3—24no—
609Dic3—24no—
610Dic3—41no—
611Dic3—122no—
612Dic3—122no—
613Dic3—242no—
614Dic3#93714yes—
615C32#238811yescharacteristic, complemented, Sylow
616C23—32no—
617C23—32no—
618C23—61no—
619C23—61no—
620C23—61no—
621C23—62no—
622C23—62no—
623C23—62no—
624C23—62no—
625C23—61no—
626C23—94no—
627C23—182no—
628C23—182no—
629C23—182no—
630C23—182no—
631C23—182no—
632C23—182no—
633C23C22×D3211yescharacteristic
634Q8—68no—
635D4—68no—
636D4—188no—
637D4—1816no—
638D4—1816no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—34no—
645C2×C4—32no—
646C2×C4—34no—
647C2×C4—34no—
648C2×C4—68no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—61no—
655C2×C4—124no—
656C2×C4—1816no—
657C2×C4—182no—
658C2×C4—182no—
659C2×C4—182no—
660C2×C4#379912yescomplemented
661C2×C4D3×#6712yes—
662C2×C3—21no—
663C2×C3—22no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—22no—
667C2×C3—122no—
668C2×C3—122no—
669C2×C3#554712yes—
670C2×C3#554812yes—
671C2×C3D3×#12011yescharacteristic
672C2×C3#562712yes—
673C2×C3#562711yescharacteristic
674C2×C3#572511yescharacteristic
675C2×C3#572512yes—
676C2×C3#579111yescharacteristic
677C2×C3C2×#93711yescharacteristic
678C2×C3#583211yescharacteristic
679D3—42no—
680D3—42no—
681D3—124no—
682D3—124no—
683D3—244no—
684C22—62no—
685C22—64no—
686C22—62no—
687C22—62no—
688C22—62no—
689C22—121no—
690C22—122no—
691C22—121no—
692C22—122no—
693C22—122no—
694C22—184no—
695C22—184no—
696C22—184no—
697C22—362no—
698C22—362no—
699C22—362no—
700C22—362no—
701C22C2×#379911yescharacteristic
702C22D3×#23511yescharacteristic
703C22D32×D412yes—
704C22D3×#23912yes—
705C22C2×D3×#6711yescharacteristic
706C4—22no—
707C4—22no—
708C4—34no—
709C4—41no—
710C4—64no—
711C4—64no—
712C4—121no—
713C4—362no—
714C3—21no—
715C3#7716911yescharacteristic, complemented
716C3#8240011yescharacteristic, complemented
717C2—122no—
718C2—122no—
719C2—364no—
720C2#1059451812yes—
721C2#1059462312yes—
722C2#1059500511yescharacteristic
723C2D3×#93711yescharacteristic
724C2#1059536011yescharacteristic
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×#3799C2semidirect
2. C2×C3×#893C2semidirect
3. C2×#63904C2semidirect
4. #10592690C2semidirect
5. C3×#4979C2semidirect
6. #10591395C2semidirect
7. #10591391C2semidirect
8. #10591304C2semidirect
9. #10591291C2semidirect
10. #10591237C2semidirect
11. #10591233C2semidirect
46. C2×#893D3semidirect
55. #4979D3semidirect
83. C2×C3×C4×D3D4semidirect
94. C2×#624D4semidirect
184. C22×C3×D3#41semidirect
191. C2×C32×C4#41semidirect
205. C2×C3×Dic3#41semidirect
292. C2×C4×D3#67semidirect
419. C22×D3#235semidirect
452. C2×C3×C4#235semidirect
454. C2×C3×C4#239semidirect
475. C2×Dic3#239semidirect
615. C32#2388semidirect
660. C2×C4#3799semidirect
715. C3#77169semidirect
716. C3#82400semidirect

Maximal subgroups

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

subgroupindex
C22×#37992
C2×C3×#8932
C2×#639042
#105926902
C3×#49792
#105913952
#105913912
#105913042
#105912912
#105912372
#105912332
#824003
#771693