Finite Group Databasebeta

← #11808986

Subgroups — #11808986

Order 1152.

4692 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
1C23×#638C211yesmaximal, characteristic, complemented
2C22×D4×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C32×#120C211yesmaximal, characteristic, complemented
4C2×#64162C211yesmaximal, characteristic, complemented
5C2×#64146C212yesmaximal, complemented
6#10592922C212yesmaximal, complemented
7#10592919C211yesmaximal, characteristic, complemented
8#10592659C212yesmaximal, complemented
9#10592657C211yesmaximal, characteristic, complemented
10#10592655C212yesmaximal, complemented
11#10592654C211yesmaximal, characteristic, complemented
12#82604—34nomaximal
13C25×C32C2211yescharacteristic, complemented
14C24×C3⋊D3C2211yescharacteristic
15C24×C3⋊D3C2211yescharacteristic, complemented
16C22×C32×D4C2211yescharacteristic
17C22×C32×D4C2212yescomplemented
18C22×#638—28no—
19C22×#638—24no—
20C22×#638C2211yescharacteristic
21C22×#638C2212yes—
22C22×#638C2211yescharacteristic, complemented
23C22×#638C2212yescomplemented
24C22×#638C2212yescomplemented
25C23×C3⋊Dic3C2211yescharacteristic, complemented
26C2×D4×C3⋊D3—24no—
27C2×D4×C3⋊D3—24no—
28C2×D4×C3⋊D3—24no—
29C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
30C22×C4×C3⋊D3C2211yescharacteristic, complemented
31C32×#120—24no—
32C2×C32×C22⋊C4C2211yescharacteristic, complemented
33C2×C32×C22⋊C4C2212yescomplemented
34#64162—24no—
35C2×#3757C2211yescharacteristic, complemented
36C2×#3757C2212yescomplemented
37C2×#3757C2212yescomplemented
38#64146—28no—
39C2×#3752C2212yescomplemented
40C2×#3752C2212yescomplemented
41C2×#3752C2212yescomplemented
42#63658C2212yescomplemented
43#63658C2212yescomplemented
44C23×#67—34no—
45C22×D3×D4—34no—
46C2×C3×#120D314yescomplemented
47C2×#953—34no—
48C2×#937—38no—
49#5223—38no—
50#5220—34no—
51#4960—38no—
52#4958—34no—
53#4956—38no—
54#4955—34no—
55C24×C32—22no—
56C24×C32—24no—
57C24×C32—22no—
58C24×C32—22no—
59C24×C32—42no—
60C24×C32C2312yes—
61C24×C32C2311yescharacteristic
62C24×C32C2311yescharacteristic
63C23×C3⋊D3—22no—
64C23×C3⋊D3—22no—
65C23×C3⋊D3—22no—
66C23×C3⋊D3—22no—
67C23×C3⋊D3—24no—
68C23×C3⋊D3—22no—
69C23×C3⋊D3—24no—
70C23×C3⋊D3—42no—
71C23×C3⋊D3—42no—
72C23×C3⋊D3D414yescomplemented
73C23×C3⋊D3C2311yescharacteristic
74C23×C3⋊D3C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C2×C32×D4—22no—
77C2×C32×D4—22no—
78C2×C32×D4—24no—
79C2×C32×D4—24no—
80C2×C32×D4—42no—
81C2×C32×D4D414yescomplemented
82C22×C32×C4C2312yes—
83C22×C32×C4C2311yescharacteristic
84C2×#638—232no—
85C2×#638—22no—
86C2×#638—22no—
87C2×#638—22no—
88C2×#638—24no—
89C2×#638—22no—
90C2×#638—24no—
91C2×#638—24no—
92C2×#638—24no—
93C2×#638—24no—
94C2×#638—24no—
95C2×#638—22no—
96C2×#638—24no—
97C2×#638—42no—
98C2×#638D418yescomplemented
99C2×#638D414yescomplemented
100C22×C3⋊Dic3—22no—
101C22×C3⋊Dic3—24no—
102C22×C3⋊Dic3C2312yes—
103C22×C3⋊Dic3C2311yescharacteristic
104C22×C3⋊Dic3C2312yes—
105D4×C3⋊D3—232no—
106C2×C4⋊(C3⋊D3)—22no—
107C2×C4⋊(C3⋊D3)—22no—
108C2×C4⋊(C3⋊D3)—22no—
109C2×C4×C3⋊D3—22no—
110C2×C4×C3⋊D3—22no—
111C2×C4×C3⋊D3—22no—
112C32×C22⋊C4—22no—
113C32×C22⋊C4—24no—
114#3757—22no—
115#3757—24no—
116#3757—24no—
117#3752—24no—
118#3752—24no—
119#3752—42no—
120#2403—91noSylow
121C25×C3C2×D314yescomplemented
122C24×D3—34no—
123C24×D3—34no—
124C22×C3×D4C2×D314yes—
125C22×C3×D4C2×D318yescomplemented
126C22×#67—34no—
127C22×#67—38no—
128C22×#67—34no—
129C22×#67—38no—
130C22×#67—38no—
131C22×#67—632no—
132C22×#67—616no—
133C23×Dic3—34no—
134C2×D3×D4—616no—
135C2×D3×D4—616no—
136C2×D3×D4—616no—
137C22×D12—34no—
138C22×C4×D3—34no—
139C3×#120—216no—
140C2×C3×C22⋊C4C2×D314yescomplemented
141C2×C3×C22⋊C4C2×D318yescomplemented
142#953—616no—
143C2×#217—34no—
144C2×#217—38no—
145C2×#217—38no—
146#937—632no—
147C2×(C2×D3)⋊C4—38no—
148C2×(C2×D3)⋊C4—38no—
149C2×(C2×D3)⋊C4—38no—
150C3⋊#95—38no—
151C3⋊#95—38no—
152C23×C32—22no—
153C23×C32—22no—
154C23×C32—28no—
155C23×C32—22no—
156C23×C32—21no—
157C23×C32—21no—
158C23×C32—22no—
159C23×C32—22no—
160C23×C32—22no—
161C23×C32—22no—
162C23×C32—22no—
163C23×C32—22no—
164C23×C32—22no—
165C23×C32—48no—
166C23×C32—48no—
167C23×C32—44no—
168C23×C32—44no—
169C23×C32C2×D412yes—
170C23×C32C2×D412yes—
171C23×C32C2×D412yes—
172C23×C32C2×D414yescomplemented
173C23×C32C2×D412yescomplemented
174C23×C32C2411yescharacteristic
175C22×C3⋊D3—21no—
176C22×C3⋊D3—21no—
177C22×C3⋊D3—22no—
178C22×C3⋊D3—28no—
179C22×C3⋊D3—28no—
180C22×C3⋊D3—22no—
181C22×C3⋊D3—21no—
182C22×C3⋊D3—21no—
183C22×C3⋊D3—21no—
184C22×C3⋊D3—21no—
185C22×C3⋊D3—22no—
186C22×C3⋊D3—22no—
187C22×C3⋊D3—22no—
188C22×C3⋊D3—28no—
189C22×C3⋊D3—44no—
190C22×C3⋊D3—48no—
191C22×C3⋊D3—48no—
192C22×C3⋊D3—48no—
193C22×C3⋊D3—48no—
194C22×C3⋊D3—44no—
195C22×C3⋊D3—44no—
196C22×C3⋊D3C2×D412yes—
197C22×C3⋊D3C2×D414yes—
198C22×C3⋊D3C2×D412yes—
199C22×C3⋊D3C2×D412yescomplemented
200C32×D4—28no—
201C32×D4—48no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—22no—
205C2×C32×C4—22no—
206C2×C32×C4—22no—
207C2×C32×C4C2×D412yescomplemented
208#638—28no—
209#638—216no—
210#638—28no—
211#638—216no—
212#638—48no—
213C2×C3⋊Dic3—28no—
214C2×C3⋊Dic3—21no—
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3—22no—
217C2×C3⋊Dic3—22no—
218C2×C3⋊Dic3—22no—
219C2×C3⋊Dic3—22no—
220C2×C3⋊Dic3—22no—
221C2×C3⋊Dic3C2×D414yescomplemented
222C2×C3⋊Dic3C2×D412yescomplemented
223C4⋊(C3⋊D3)—28no—
224C4×C3⋊D3—28no—
225C23×D4—91no—
226C23×D4—91no—
227C2×#120—91no—
228C2×#120—92no—
229C2×#120C3⋊D311yescharacteristic, complemented
230#392—92no—
231#392—92no—
232#386—91no—
233#386—92no—
234#386—91no—
235#379—91no—
236C24×C3—28no—
237C24×C3—216no—
238C24×C3—28no—
239C24×C3—28no—
240C24×C3—48no—
241C24×C3C22×D318yes—
242C24×C3C22×D314yes—
243C24×C3C22×D314yes—
244C23×D3—34no—
245C23×D3—34no—
246C23×D3—34no—
247C23×D3—316no—
248C23×D3—68no—
249C23×D3—68no—
250C23×D3—616no—
251C23×D3—616no—
252C23×D3—68no—
253C23×D3—68no—
254C23×D3—68no—
255C23×D3—128no—
256C23×D3—128no—
257C2×C3×D4—28no—
258C2×C3×D4—28no—
259C2×C3×D4—216no—
260C2×C3×D4—216no—
261C2×C3×D4—48no—
262C2×C3×D4#67116yescomplemented
263C22×C3×C4C22×D318yes—
264C22×C3×C4C22×D314yes—
265C2×#67—316no—
266C2×#67—332no—
267C2×#67—68no—
268C2×#67—616no—
269C2×#67—68no—
270C2×#67—616no—
271C2×#67—616no—
272C2×#67—616no—
273C2×#67—6128no—
274C2×#67—68no—
275C2×#67—616no—
276C2×#67—68no—
277C2×#67—68no—
278C2×#67—616no—
279C2×#67—616no—
280C2×#67—128no—
281C22×Dic3—38no—
282C22×Dic3—34no—
283C22×Dic3—38no—
284C22×Dic3—616no—
285C22×Dic3—68no—
286D3×D4—6128no—
287C2×D12—68no—
288C2×D12—68no—
289C2×D12—68no—
290C2×C4×D3—68no—
291C2×C4×D3—68no—
292C2×C4×D3—68no—
293C3×C22⋊C4—28no—
294C3×C22⋊C4—216no—
295#217—616no—
296#217—616no—
297#217—68no—
298(C2×D3)⋊C4—616no—
299(C2×D3)⋊C4—616no—
300(C2×D3)⋊C4—128no—
301C22×C32—22no—
302C22×C32—22no—
303C22×C32—24no—
304C22×C32—24no—
305C22×C32—24no—
306C22×C32—22no—
307C22×C32—24no—
308C22×C32—24no—
309C22×C32—24no—
310C22×C32—416no—
311C22×C32—41no—
312C22×C32—42no—
313C22×C32—41no—
314C22×C32—42no—
315C22×C32—42no—
316C22×C32—42no—
317C22×C32—42no—
318C22×C32#12014yescomplemented
319C22×C32C22×D411yescharacteristic
320C22×C32C22×D412yes—
321C22×C32C22×D411yescharacteristic
322C22×C32C22×D411yescharacteristic
323C22×C32H(5,𝔽2)12yes—
324C2×C3⋊D3—22no—
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—22no—
332C2×C3⋊D3—24no—
333C2×C3⋊D3—416no—
334C2×C3⋊D3—416no—
335C2×C3⋊D3—41no—
336C2×C3⋊D3—41no—
337C2×C3⋊D3—42no—
338C2×C3⋊D3—42no—
339C2×C3⋊D3—42no—
340C2×C3⋊D3#12014yescomplemented
341C32×C4—22no—
342C32×C4—42no—
343C3⋊Dic3—22no—
344C3⋊Dic3—24no—
345C3⋊Dic3—42no—
346C25—91no—
347C25—91no—
348C25C2×C3⋊D311yescharacteristic, complemented
349C22×D4—91no—
350C22×D4—92no—
351C22×D4—92no—
352C22×D4—91no—
353C22×D4—92no—
354C22×D4—91no—
355C22×D4—184no—
356C22×D4—184no—
357C22×D4—188no—
358C22×D4—184no—
359C22×D4—184no—
360C22×D4C2×C3⋊D311yescharacteristic
361C22×D4C2×C3⋊D312yescomplemented
362C23×C4—91no—
363C23×C4—91no—
364#120—24no—
365#120—188no—
366#120—184no—
367C2×C22⋊C4—91no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C22⋊C4—92no—
371C2×C22⋊C4—92no—
372C2×C22⋊C4—92no—
373C2×C22⋊C4C2×C3⋊D311yescharacteristic, complemented
374C2×C22⋊C4C2×C3⋊D312yescomplemented
375#95—92no—
376#95—92no—
377C23×C3—28no—
378C23×C3—28no—
379C23×C3—232no—
380C23×C3—28no—
381C23×C3—28no—
382C23×C3—28no—
383C23×C3—28no—
384C23×C3—24no—
385C23×C3—24no—
386C23×C3—28no—
387C23×C3—28no—
388C23×C3—28no—
389C23×C3—28no—
390C23×C3—432no—
391C23×C3—432no—
392C23×C3—416no—
393C23×C3—416no—
394C23×C3D3×D418yes—
395C23×C3D3×D418yes—
396C23×C3D3×D4116yescomplemented
397C23×C3C2×#6718yes—
398C23×C3C2×#6718yescomplemented
399C23×C3C23×D314yes—
400C22×D3—316no—
401C22×D3—38no—
402C22×D3—38no—
403C22×D3—38no—
404C22×D3—632no—
405C22×D3—64no—
406C22×D3—68no—
407C22×D3—64no—
408C22×D3—632no—
409C22×D3—632no—
410C22×D3—68no—
411C22×D3—64no—
412C22×D3—64no—
413C22×D3—68no—
414C22×D3—68no—
415C22×D3—68no—
416C22×D3—64no—
417C22×D3—64no—
418C22×D3—1216no—
419C22×D3—1216no—
420C22×D3—1232no—
421C22×D3—1232no—
422C22×D3—1232no—
423C22×D3—1232no—
424C22×D3—1216no—
425C3×D4—232no—
426C3×D4—432no—
427C2×C3×C4—24no—
428C2×C3×C4—24no—
429C2×C3×C4—28no—
430C2×C3×C4—28no—
431C2×C3×C4—28no—
432C2×C3×C4C2×#6718yescomplemented
433#67—664no—
434#67—632no—
435#67—664no—
436#67—632no—
437#67—1232no—
438C2×Dic3—316no—
439C2×Dic3—38no—
440C2×Dic3—632no—
441C2×Dic3—64no—
442C2×Dic3—68no—
443C2×Dic3—68no—
444C2×Dic3—64no—
445C2×Dic3—68no—
446C2×Dic3—68no—
447C2×Dic3—68no—
448D12—632no—
449C4×D3—632no—
450C2×C32—24no—
451C2×C32—42no—
452C2×C32—44no—
453C2×C32C2×#12011yescharacteristic
454C2×C32C2×#12011yescharacteristic
455C2×C32#53411yescharacteristic
456C2×C32D4212yes—
457C2×C32D4212yes—
458C3⋊D3—24no—
459C3⋊D3—42no—
460C3⋊D3—42no—
461C24—22no—
462C24—24no—
463C24—22no—
464C24—22no—
465C24—42no—
466C24—91no—
467C24—91no—
468C24—91no—
469C24—94no—
470C24—184no—
471C24—182no—
472C24—182no—
473C24—184no—
474C24—182no—
475C24—182no—
476C24—182no—
477C24—362no—
478C24—362no—
479C24C22×C3⋊D312yes—
480C24C22×C3⋊D311yescharacteristic
481C24C22×C3⋊D311yescharacteristic
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—42no—
487C2×D4—94no—
488C2×D4—98no—
489C2×D4—182no—
490C2×D4—182no—
491C2×D4—182no—
492C2×D4—184no—
493C2×D4—1832no—
494C2×D4—184no—
495C2×D4—184no—
496C2×D4—182no—
497C2×D4—184no—
498C2×D4—1832no—
499C2×D4—182no—
500C2×D4—184no—
501C2×D4—182no—
502C2×D4—182no—
503C2×D4—184no—
504C2×D4—184no—
505C2×D4—182no—
506C2×D4—362no—
507C2×D4#63814yescomplemented
508C22×C4—92no—
509C22×C4—91no—
510C22×C4—92no—
511C22×C4—182no—
512C22×C4—182no—
513C22×C4—184no—
514C22×C4—182no—
515C22×C4—182no—
516C22×C4C22×C3⋊D312yes—
517C22×C4C22×C3⋊D311yescharacteristic
518C22⋊C4—22no—
519C22⋊C4—24no—
520C22⋊C4—184no—
521C22⋊C4—184no—
522C22⋊C4—184no—
523C22⋊C4—184no—
524C22⋊C4—182no—
525C22⋊C4—362no—
526C22×C3—216no—
527C22×C3—28no—
528C22×C3—28no—
529C22×C3—216no—
530C22×C3—28no—
531C22×C3—216no—
532C22×C3—216no—
533C22×C3—216no—
534C22×C3—216no—
535C22×C3—464no—
536C22×C3—48no—
537C22×C3—48no—
538C22×C3—44no—
539C22×C3—44no—
540C22×C3—48no—
541C22×C3—48no—
542C22×C3—48no—
543C22×C3#937116yescomplemented
544C22×C3C2×D3×D414yes—
545C22×C3C2×D3×D414yes—
546C22×C3C2×D3×D418yes—
547C22×C3#100418yes—
548C22×C3C22×#6714yes—
549C2×D3—316no—
550C2×D3—68no—
551C2×D3—616no—
552C2×D3—68no—
553C2×D3—616no—
554C2×D3—68no—
555C2×D3—68no—
556C2×D3—68no—
557C2×D3—68no—
558C2×D3—616no—
559C2×D3—1264no—
560C2×D3—1264no—
561C2×D3—128no—
562C2×D3—128no—
563C2×D3—124no—
564C2×D3—124no—
565C2×D3—128no—
566C3×C4—28no—
567C3×C4—48no—
568Dic3—68no—
569Dic3—616no—
570Dic3—128no—
571C32#240311yescharacteristic, complemented, Sylow
572C23—22no—
573C23—22no—
574C23—28no—
575C23—22no—
576C23—22no—
577C23—21no—
578C23—21no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—48no—
586C23—48no—
587C23—44no—
588C23—44no—
589C23—94no—
590C23—92no—
591C23—92no—
592C23—92no—
593C23—188no—
594C23—188no—
595C23—181no—
596C23—182no—
597C23—181no—
598C23—182no—
599C23—181no—
600C23—181no—
601C23—182no—
602C23—182no—
603C23—182no—
604C23—181no—
605C23—181no—
606C23—188no—
607C23—364no—
608C23—368no—
609C23—368no—
610C23—368no—
611C23—364no—
612C23—368no—
613C23—364no—
614C23D4×C3⋊D312yes—
615C23D4×C3⋊D312yes—
616C23D4×C3⋊D314yescomplemented
617C23C2×#63812yes—
618C23C2×#63812yescomplemented
619C23C23×C3⋊D311yescharacteristic
620D4—28no—
621D4—48no—
622D4—188no—
623D4—1816no—
624D4—188no—
625D4—1816no—
626D4—188no—
627D4—368no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—92no—
634C2×C4—94no—
635C2×C4—188no—
636C2×C4—188no—
637C2×C4—181no—
638C2×C4—182no—
639C2×C4—182no—
640C2×C4—181no—
641C2×C4—182no—
642C2×C4—182no—
643C2×C4—182no—
644C2×C4C2×#63812yescomplemented
645C2×C3—216no—
646C2×C3—48no—
647C2×C3—416no—
648C2×C3D3×#12014yes—
649C2×C3#558914yes—
650C2×C3#559018yes—
651C2×C3C2×#93714yes—
652C2×C3D4×#6718yes—
653D3—616no—
654D3—128no—
655D3—128no—
656C22—24no—
657C22—22no—
658C22—22no—
659C22—24no—
660C22—22no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—416no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—42no—
673C22—94no—
674C22—182no—
675C22—184no—
676C22—182no—
677C22—184no—
678C22—182no—
679C22—182no—
680C22—182no—
681C22—182no—
682C22—184no—
683C22—3616no—
684C22—3616no—
685C22—362no—
686C22—362no—
687C22—361no—
688C22—361no—
689C22—362no—
690C22#6414614yescomplemented
691C22C2×D4×C3⋊D311yescharacteristic
692C22C2×D4×C3⋊D311yescharacteristic
693C22C2×D4×C3⋊D312yes—
694C22#6436112yes—
695C22C22×#63811yescharacteristic
696C4—22no—
697C4—42no—
698C4—182no—
699C4—184no—
700C4—362no—
701C3#8260414yescomplemented
702C2—24no—
703C2—44no—
704C2—42no—
705C2—184no—
706C2—362no—
707C2—362no—
708C2C3⋊D3×#12011yescharacteristic
709C2#1059606011yescharacteristic
710C2#1059606112yes—
711C2C2×#6414611yescharacteristic
712C2D4×#63812yes—
subgroupG/H
center, FrattiniC23C23×C3⋊D3
commutator, socle, cosocleC23×C32C24
FittingC2×C32×#120C2
hypercenterC2×#120C3⋊D3
hypocenterC32#2403
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×#120

Complements

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

NH ≅ G/Ntype
1. C23×#638C2semidirect
2. C22×D4×C3⋊D3C2semidirect
3. C2×C32×#120C2semidirect
4. C2×#64162C2semidirect
5. C2×#64146C2semidirect
6. #10592922C2semidirect
7. #10592919C2semidirect
8. #10592659C2semidirect
9. #10592657C2semidirect
10. #10592655C2semidirect
11. #10592654C2semidirect
13. C25×C32C22semidirect
15. C24×C3⋊D3C22semidirect
17. C22×C32×D4C22semidirect
22. C22×#638C22semidirect
23. C22×#638C22semidirect
24. C22×#638C22semidirect
25. C23×C3⋊Dic3C22semidirect
29. C22×C4⋊(C3⋊D3)C22semidirect
30. C22×C4×C3⋊D3C22semidirect
32. C2×C32×C22⋊C4C22semidirect
33. C2×C32×C22⋊C4C22semidirect
35. C2×#3757C22semidirect
36. C2×#3757C22semidirect
37. C2×#3757C22semidirect
39. C2×#3752C22semidirect
40. C2×#3752C22semidirect
41. C2×#3752C22semidirect
42. #63658C22semidirect
43. #63658C22semidirect
46. C2×C3×#120D3semidirect
72. C23×C3⋊D3D4semidirect
81. C2×C32×D4D4semidirect
98. C2×#638D4semidirect
99. C2×#638D4semidirect
121. C25×C3C2×D3semidirect
125. C22×C3×D4C2×D3semidirect
140. C2×C3×C22⋊C4C2×D3semidirect
141. C2×C3×C22⋊C4C2×D3semidirect
172. C23×C32C2×D4semidirect
173. C23×C32C2×D4semidirect
199. C22×C3⋊D3C2×D4semidirect
207. C2×C32×C4C2×D4semidirect
221. C2×C3⋊Dic3C2×D4semidirect
222. C2×C3⋊Dic3C2×D4semidirect
229. C2×#120C3⋊D3semidirect
262. C2×C3×D4#67semidirect
318. C22×C32#120semidirect
340. C2×C3⋊D3#120semidirect
348. C25C2×C3⋊D3semidirect
361. C22×D4C2×C3⋊D3semidirect
373. C2×C22⋊C4C2×C3⋊D3semidirect
374. C2×C22⋊C4C2×C3⋊D3semidirect
396. C23×C3D3×D4semidirect
398. C23×C3C2×#67semidirect
432. C2×C3×C4C2×#67semidirect
507. C2×D4#638semidirect
543. C22×C3#937semidirect
571. C32#2403semidirect
616. C23D4×C3⋊D3semidirect
618. C23C2×#638semidirect
644. C2×C4C2×#638semidirect
690. C22#64146semidirect
701. C3#82604semidirect

Maximal subgroups

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

subgroupindex
C23×#6382
C22×D4×C3⋊D32
C2×C32×#1202
C2×#641622
C2×#641462
#105929222
#105929192
#105926592
#105926572
#105926552
#105926542
#826043