Finite Group Databasebeta

← C2×C3×#5804 #11900934

Subgroups — C2×C3×#5804 #11900934

Order 1152.

4649 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C32×D4C211yesmaximal, characteristic, complemented
2C23×C3×#67C211yesmaximal, characteristic, complemented
3C2×C3×#953C212yesmaximal, complemented
4C22×C3×#217C211yesmaximal, characteristic, complemented
5C3×#5804C2116yesmaximal, direct product factor
6C2×C3×#939C214yesmaximal, complemented
7C2×C3×#937C212yesmaximal, complemented
8C2×C3×#935C212yesmaximal, complemented
9C2×C3×#929C212yesmaximal, complemented
10C2×C3×#534—31nomaximal
11C2×#5804C311yesmaximal, characteristic, direct product factor
12C25×C32C2211yescharacteristic
13C25×C32C2211yescharacteristic, complemented
14C24×C3×D3C2211yescharacteristic, complemented
15C22×C32×D4—28no—
16C22×C32×D4C2212yes—
17C22×C32×D4C2212yescomplemented
18C22×C32×D4C2218yescomplemented
19C23×C32×C4C2211yescharacteristic, complemented
20C22×C3×#67—28no—
21C22×C3×#67C2212yes—
22C22×C3×#67C2212yescomplemented
23C22×C3×#67C2214yescomplemented
24C22×C3×#67C2218yescomplemented
25C23×C3×Dic3C2211yescharacteristic, complemented
26C23×C3×Dic3C2212yescomplemented
27C3×#953C22116yescomplemented
28C2×C3×#217C2212yescomplemented
29C2×C3×#217C2212yescomplemented
30C2×C3×#217C2214yescomplemented
31C2×C3×#217C2218yescomplemented
32C3×#939C22132yescomplemented
33C3×#937C22116yescomplemented
34C3×#935C22116yescomplemented
35C3×#929C22116yescomplemented
36C2×C3×(C2×D3)⋊C4C2214yescomplemented
37C2×C3×Dic3⋊C4C2214yescomplemented
38C23×C3×D4—21no—
39C23×C3×D4—31no—
40C23×C3×D4D311yescharacteristic, complemented
41C23×C3×D4C2×C311yescharacteristic, complemented
42C23×#67C2×C311yescharacteristic, complemented
43C3×#534—316no—
44C2×C3×#123—32no—
45C2×C3×#123—32no—
46C2×C3×#121—34no—
47C2×C3×#120—32no—
48C2×C3×#120—32no—
49C22×C3×C22⋊C4—31no—
50C2×#953C2×C312yescomplemented
51C22×#217C2×C311yescharacteristic, complemented
52#5804C2×C3116yesdirect product factor
53C2×#939C2×C314yescomplemented
54C2×#937C2×C312yescomplemented
55C2×#935C2×C312yescomplemented
56C2×#929C2×C312yescomplemented
57C24×C32—24no—
58C24×C32—44no—
59C24×C32—44no—
60C24×C32D418yescomplemented
61C24×C32C2312yes—
62C24×C32C2311yescharacteristic
63C24×C32C2311yescharacteristic
64C24×C32C2311yescharacteristic
65C24×C32C2314yes—
66C24×C32C2314yescomplemented
67C23×C3×D3—24no—
68C23×C3×D3—44no—
69C23×C3×D3C2312yes—
70C23×C3×D3C2314yescomplemented
71C2×C32×D4—28no—
72C2×C32×D4—28no—
73C2×C32×D4—232no—
74C2×C32×D4C2318yes—
75C2×C32×D4C2318yescomplemented
76C22×C32×C4—24no—
77C22×C32×C4C2312yes—
78C22×C32×C4C2314yescomplemented
79C2×C3×#67—28no—
80C2×C3×#67—28no—
81C2×C3×#67—232no—
82C2×C3×#67—48no—
83C2×C3×#67C2318yes—
84C2×C3×#67C2318yescomplemented
85C2×C3×#67C23116yescomplemented
86C22×C3×Dic3—24no—
87C22×C3×Dic3—44no—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2314yes—
90C22×C3×Dic3C2314yescomplemented
91C22×C3×Dic3C2318yescomplemented
92C3×#217C2318yescomplemented
93C3×#217C2318yescomplemented
94C3×#217C23116yescomplemented
95C3×(C2×D3)⋊C4C23116yescomplemented
96C3×Dic3⋊C4C23116yescomplemented
97C2×#534—31noSylow
98C25×C3—21no—
99C25×C3—21no—
100C25×C3—31no—
101C25×C3C2×D311yescharacteristic
102C25×C3C2×D311yescharacteristic, complemented
103C25×C3C22×C311yescharacteristic
104C25×C3C22×C311yescharacteristic, complemented
105C24×D3C22×C311yescharacteristic, complemented
106C22×C3×D4—216no—
107C22×C3×D4—28no—
108C22×C3×D4—28no—
109C22×C3×D4—22no—
110C22×C3×D4—22no—
111C22×C3×D4—28no—
112C22×C3×D4—32no—
113C22×C3×D4—32no—
114C22×C3×D4—38no—
115C22×C3×D4—34no—
116C22×C3×D4—68no—
117C22×C3×D4C2×D312yes—
118C22×C3×D4C2×D312yescomplemented
119C22×C3×D4C2×D318yescomplemented
120C22×C3×D4C22×C312yes—
121C22×C3×D4C22×C312yescomplemented
122C22×C3×D4C22×C318yescomplemented
123C23×C3×C4—21no—
124C23×C3×C4—31no—
125C23×C3×C4—32no—
126C23×C3×C4C2×D311yescharacteristic, complemented
127C23×C3×C4C22×C311yescharacteristic, complemented
128C22×#67—28no—
129C22×#67C22×C312yes—
130C22×#67C22×C312yescomplemented
131C22×#67C22×C314yescomplemented
132C22×#67C22×C318yescomplemented
133C23×Dic3C22×C311yescharacteristic, complemented
134C23×Dic3C22×C312yescomplemented
135C3×#123—316no—
136C3×#123—316no—
137C3×#121—332no—
138C3×#120—316no—
139C3×#120—316no—
140C2×C3×C4⋊C4—34no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C22⋊C4—32no—
143C2×C3×C22⋊C4—38no—
144C2×C3×C22⋊C4—34no—
145C2×C3×C22⋊C4—34no—
146#953C22×C3116yescomplemented
147C2×#217C22×C312yescomplemented
148C2×#217C22×C312yescomplemented
149C2×#217C22×C314yescomplemented
150C2×#217C22×C318yescomplemented
151#939C22×C3132yescomplemented
152#937C22×C3116yescomplemented
153#935C22×C3116yescomplemented
154#929C22×C3116yescomplemented
155C2×(C2×D3)⋊C4C22×C314yescomplemented
156C2×Dic3⋊C4C22×C314yescomplemented
157C23×C32—24no—
158C23×C32—24no—
159C23×C32—28no—
160C23×C32—24no—
161C23×C32—24no—
162C23×C32—28no—
163C23×C32—416no—
164C23×C32—48no—
165C23×C32—48no—
166C23×C32—416no—
167C23×C32C2×D414yes—
168C23×C32C2×D414yes—
169C23×C32C2×D414yes—
170C23×C32C2×D4116yescomplemented
171C23×C32C2414yes—
172C23×C32C2412yes—
173C23×C32C2412yes—
174C23×C32C2412yes—
175C23×C32C2411yescharacteristic
176C22×C3×D3—24no—
177C22×C3×D3—28no—
178C22×C3×D3—28no—
179C22×C3×D3—48no—
180C22×C3×D3—416no—
181C22×C3×D3C2414yes—
182C32×D4—216no—
183C32×D4—216no—
184C2×C32×C4—24no—
185C2×C32×C4—28no—
186C2×C32×C4C2414yes—
187C3×#67—216no—
188C3×#67—216no—
189C3×#67—416no—
190C2×C3×Dic3—24no—
191C2×C3×Dic3—28no—
192C2×C3×Dic3—28no—
193C2×C3×Dic3—48no—
194C2×C3×Dic3C2414yes—
195C2×C3×Dic3C2418yes—
196C23×D4—31no—
197C23×D4C3×D311yescharacteristic, complemented
198#534—316no—
199C2×#123—32no—
200C2×#123—32no—
201C2×#121—34no—
202C2×#120—32no—
203C2×#120—32no—
204C22×C22⋊C4—31no—
205C24×C3—28no—
206C24×C3—24no—
207C24×C3—24no—
208C24×C3—28no—
209C24×C3—21no—
210C24×C3—22no—
211C24×C3—21no—
212C24×C3—21no—
213C24×C3—24no—
214C24×C3—24no—
215C24×C3—32no—
216C24×C3—34no—
217C24×C3—44no—
218C24×C3—44no—
219C24×C3—44no—
220C24×C3—44no—
221C24×C3—48no—
222C24×C3—48no—
223C24×C3—64no—
224C24×C3—124no—
225C24×C3#6718yescomplemented
226C24×C3C3×D418yescomplemented
227C24×C3C22×D312yes—
228C24×C3C22×D311yescharacteristic
229C24×C3C22×D311yescharacteristic
230C24×C3C22×D311yescharacteristic
231C24×C3C22×D314yes—
232C24×C3C22×D314yescomplemented
233C24×C3C23×C312yes—
234C24×C3C23×C311yescharacteristic
235C24×C3C23×C311yescharacteristic
236C24×C3C23×C311yescharacteristic
237C24×C3C23×C314yes—
238C24×C3C23×C314yescomplemented
239C23×D3—24no—
240C23×D3—44no—
241C23×D3C23×C312yes—
242C23×D3C23×C314yescomplemented
243C2×C3×D4—216no—
244C2×C3×D4—216no—
245C2×C3×D4—264no—
246C2×C3×D4—28no—
247C2×C3×D4—28no—
248C2×C3×D4—232no—
249C2×C3×D4—28no—
250C2×C3×D4—28no—
251C2×C3×D4—232no—
252C2×C3×D4—28no—
253C2×C3×D4—28no—
254C2×C3×D4—38no—
255C2×C3×D4—38no—
256C2×C3×D4—316no—
257C2×C3×D4—68no—
258C2×C3×D4—68no—
259C2×C3×D4—632no—
260C2×C3×D4—128no—
261C2×C3×D4C22×D318yes—
262C2×C3×D4C22×D318yescomplemented
263C2×C3×D4C23×C318yes—
264C2×C3×D4C23×C318yescomplemented
265C22×C3×C4—28no—
266C22×C3×C4—24no—
267C22×C3×C4—24no—
268C22×C3×C4—22no—
269C22×C3×C4—24no—
270C22×C3×C4—34no—
271C22×C3×C4—34no—
272C22×C3×C4—32no—
273C22×C3×C4—38no—
274C22×C3×C4—64no—
275C22×C3×C4—124no—
276C22×C3×C4C22×D312yes—
277C22×C3×C4C22×D314yescomplemented
278C22×C3×C4C23×C312yes—
279C22×C3×C4C23×C314yescomplemented
280C2×#67—28no—
281C2×#67—28no—
282C2×#67—232no—
283C2×#67—48no—
284C2×#67C23×C318yes—
285C2×#67C23×C318yescomplemented
286C2×#67C23×C3116yescomplemented
287C22×Dic3—24no—
288C22×Dic3—44no—
289C22×Dic3C23×C312yes—
290C22×Dic3C23×C314yes—
291C22×Dic3C23×C314yescomplemented
292C22×Dic3C23×C318yescomplemented
293C3×C4⋊C4—316no—
294C3×C22⋊C4—38no—
295C3×C22⋊C4—38no—
296C3×C22⋊C4—316no—
297C3×C22⋊C4—316no—
298#217C23×C318yescomplemented
299#217C23×C318yescomplemented
300#217C23×C3116yescomplemented
301(C2×D3)⋊C4C23×C3116yescomplemented
302Dic3⋊C4C23×C3116yescomplemented
303C22×C32—28no—
304C22×C32—24no—
305C22×C32—24no—
306C22×C32—28no—
307C22×C32—28no—
308C22×C32—24no—
309C22×C32—24no—
310C22×C32—28no—
311C22×C32—416no—
312C22×C32—416no—
313C22×C32—48no—
314C22×C32C22×D414yes—
315C22×C32C22×D414yes—
316C22×C32C22×D414yes—
317C22×C32C22×D412yes—
318C22×C32H(5,𝔽2)14yes—
319C22×C32C2511yescharacteristic
320C2×C3×D3—24no—
321C2×C3×D3—28no—
322C2×C3×D3—416no—
323C2×C3×D3—48no—
324C32×C4—24no—
325C3×Dic3—24no—
326C3×Dic3—28no—
327C25—31no—
328C25C2×C3×D311yescharacteristic
329C25C2×C3×D311yescharacteristic, complemented
330C22×D4—28no—
331C22×D4—32no—
332C22×D4—32no—
333C22×D4—38no—
334C22×D4—34no—
335C22×D4—68no—
336C22×D4C2×C3×D312yes—
337C22×D4C2×C3×D312yescomplemented
338C22×D4C2×C3×D318yescomplemented
339C23×C4—31no—
340C23×C4—32no—
341C23×C4C2×C3×D311yescharacteristic, complemented
342#123—316no—
343#123—316no—
344#121—332no—
345#120—316no—
346#120—316no—
347C2×C4⋊C4—34no—
348C2×C22⋊C4—32no—
349C2×C22⋊C4—32no—
350C2×C22⋊C4—38no—
351C2×C22⋊C4—34no—
352C2×C22⋊C4—34no—
353C23×C3—28no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—24no—
357C23×C3—24no—
358C23×C3—24no—
359C23×C3—24no—
360C23×C3—28no—
361C23×C3—216no—
362C23×C3—28no—
363C23×C3—24no—
364C23×C3—28no—
365C23×C3—24no—
366C23×C3—28no—
367C23×C3—28no—
368C23×C3—22no—
369C23×C3—21no—
370C23×C3—24no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—24no—
374C23×C3—24no—
375C23×C3—24no—
376C23×C3—216no—
377C23×C3—34no—
378C23×C3—44no—
379C23×C3—44no—
380C23×C3—48no—
381C23×C3—416no—
382C23×C3—416no—
383C23×C3—48no—
384C23×C3—48no—
385C23×C3—48no—
386C23×C3—48no—
387C23×C3—432no—
388C23×C3—416no—
389C23×C3—416no—
390C23×C3—432no—
391C23×C3—416no—
392C23×C3—416no—
393C23×C3—68no—
394C23×C3—68no—
395C23×C3—64no—
396C23×C3—128no—
397C23×C3—1216no—
398C23×C3C2×#6714yes—
399C23×C3C2×#6714yes—
400C23×C3C2×#6714yes—
401C23×C3C2×#67116yescomplemented
402C23×C3C2×C3×D414yes—
403C23×C3C2×C3×D414yes—
404C23×C3C2×C3×D414yes—
405C23×C3C2×C3×D4116yescomplemented
406C23×C3C23×D314yes—
407C23×C3C23×D312yes—
408C23×C3C23×D312yes—
409C23×C3C23×D312yes—
410C23×C3C23×D311yescharacteristic
411C23×C3C24×C314yes—
412C23×C3C24×C312yes—
413C23×C3C24×C312yes—
414C23×C3C24×C312yes—
415C23×C3C24×C311yescharacteristic
416C22×D3—24no—
417C22×D3—28no—
418C22×D3—28no—
419C22×D3—48no—
420C22×D3—416no—
421C22×D3C24×C314yes—
422C3×D4—232no—
423C3×D4—232no—
424C3×D4—216no—
425C3×D4—216no—
426C3×D4—216no—
427C3×D4—216no—
428C3×D4—616no—
429C3×D4—616no—
430C3×D4—1216no—
431C2×C3×C4—28no—
432C2×C3×C4—216no—
433C2×C3×C4—24no—
434C2×C3×C4—28no—
435C2×C3×C4—24no—
436C2×C3×C4—28no—
437C2×C3×C4—24no—
438C2×C3×C4—38no—
439C2×C3×C4—34no—
440C2×C3×C4—68no—
441C2×C3×C4—68no—
442C2×C3×C4—64no—
443C2×C3×C4—128no—
444C2×C3×C4C23×D314yes—
445C2×C3×C4C24×C314yes—
446#67—216no—
447#67—216no—
448#67—416no—
449C2×Dic3—24no—
450C2×Dic3—28no—
451C2×Dic3—28no—
452C2×Dic3—48no—
453C2×Dic3C24×C314yes—
454C2×Dic3C24×C318yes—
455C2×C32—24no—
456C2×C32—24no—
457C2×C32—24no—
458C2×C32—44no—
459C2×C32#53414yescomplemented
460C2×C32C23×D411yescharacteristic
461C2×C32C2×H(5,𝔽2)12yes—
462C3×D3—44no—
463C24—24no—
464C24—32no—
465C24—34no—
466C24—44no—
467C24—44no—
468C24—64no—
469C24—124no—
470C24C3×#6718yescomplemented
471C24C22×C3×D312yes—
472C24C22×C3×D311yescharacteristic
473C24C22×C3×D311yescharacteristic
474C24C22×C3×D311yescharacteristic
475C24C22×C3×D314yes—
476C24C22×C3×D314yescomplemented
477C2×D4—28no—
478C2×D4—28no—
479C2×D4—232no—
480C2×D4—38no—
481C2×D4—38no—
482C2×D4—316no—
483C2×D4—68no—
484C2×D4—68no—
485C2×D4—632no—
486C2×D4—128no—
487C2×D4C22×C3×D318yes—
488C2×D4C22×C3×D318yescomplemented
489C22×C4—24no—
490C22×C4—34no—
491C22×C4—32no—
492C22×C4—34no—
493C22×C4—38no—
494C22×C4—64no—
495C22×C4—124no—
496C22×C4C22×C3×D312yes—
497C22×C4C22×C3×D314yescomplemented
498C4⋊C4—316no—
499C22⋊C4—38no—
500C22⋊C4—38no—
501C22⋊C4—316no—
502C22⋊C4—316no—
503C22×C3—216no—
504C22×C3—28no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3—24no—
508C22×C3—24no—
509C22×C3—24no—
510C22×C3—24no—
511C22×C3—28no—
512C22×C3—28no—
513C22×C3—28no—
514C22×C3—28no—
515C22×C3—28no—
516C22×C3—28no—
517C22×C3—28no—
518C22×C3—28no—
519C22×C3—24no—
520C22×C3—24no—
521C22×C3—28no—
522C22×C3—24no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—24no—
526C22×C3—24no—
527C22×C3—21no—
528C22×C3—48no—
529C22×C3—48no—
530C22×C3—44no—
531C22×C3—44no—
532C22×C3—48no—
533C22×C3—416no—
534C22×C3—416no—
535C22×C3—432no—
536C22×C3—432no—
537C22×C3—416no—
538C22×C3—416no—
539C22×C3—416no—
540C22×C3—48no—
541C22×C3—48no—
542C22×C3—68no—
543C22×C3—64no—
544C22×C3—1216no—
545C22×C3—128no—
546C22×C3#100414yes—
547C22×C3C22×#6714yes—
548C22×C3C22×#6714yes—
549C22×C3C22×#6714yes—
550C22×C3C22×#6712yes—
551C22×C3C22×C3×D414yes—
552C22×C3C22×C3×D414yes—
553C22×C3C22×C3×D414yes—
554C22×C3C22×C3×D412yes—
555C22×C3C3×H(5,𝔽2)14yes—
556C22×C3C24×D311yescharacteristic
557C22×C3C25×C311yescharacteristic
558C2×D3—24no—
559C2×D3—28no—
560C2×D3—416no—
561C2×D3—48no—
562C3×C4—28no—
563C3×C4—24no—
564C3×C4—24no—
565C3×C4—68no—
566C3×C4—64no—
567Dic3—24no—
568Dic3—28no—
569C32C2×#53411yescharacteristic, complemented, Sylow
570C23—24no—
571C23—24no—
572C23—24no—
573C23—28no—
574C23—24no—
575C23—28no—
576C23—34no—
577C23—416no—
578C23—48no—
579C23—48no—
580C23—416no—
581C23—68no—
582C23—68no—
583C23—64no—
584C23—128no—
585C23—1216no—
586C23C2×C3×#6714yes—
587C23C2×C3×#6714yes—
588C23C2×C3×#6714yes—
589C23C2×C3×#67116yescomplemented
590C23C23×C3×D314yes—
591C23C23×C3×D312yes—
592C23C23×C3×D312yes—
593C23C23×C3×D312yes—
594C23C23×C3×D311yescharacteristic
595D4—216no—
596D4—216no—
597D4—616no—
598D4—616no—
599D4—1216no—
600C2×C4—24no—
601C2×C4—28no—
602C2×C4—38no—
603C2×C4—34no—
604C2×C4—68no—
605C2×C4—68no—
606C2×C4—64no—
607C2×C4—128no—
608C2×C4C23×C3×D314yes—
609C2×C3—28no—
610C2×C3—24no—
611C2×C3—24no—
612C2×C3—24no—
613C2×C3—24no—
614C2×C3—24no—
615C2×C3—24no—
616C2×C3—24no—
617C2×C3—22no—
618C2×C3—21no—
619C2×C3—44no—
620C2×C3—44no—
621C2×C3—48no—
622C2×C3—44no—
623C2×C3—44no—
624C2×C3—124no—
625C2×C3#580414yesdirect product factor
626C2×C3C3×#53414yescomplemented
627C2×C3C2×#100412yes—
628C2×C3C23×#6711yescharacteristic
629C2×C3C23×C3×D411yescharacteristic
630C2×C3C2×C3×H(5,𝔽2)12yes—
631D3—44no—
632C22—28no—
633C22—28no—
634C22—28no—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—28no—
639C22—24no—
640C22—416no—
641C22—416no—
642C22—48no—
643C22—68no—
644C22—64no—
645C22—1216no—
646C22—128no—
647C22C3×#100414yes—
648C22C22×C3×#6714yes—
649C22C22×C3×#6714yes—
650C22C22×C3×#6714yes—
651C22C22×C3×#6712yes—
652C22C24×C3×D311yescharacteristic
653C4—24no—
654C4—68no—
655C4—64no—
656C3—21no—
657C3C2×#580411yescharacteristic, direct product factor
658C3C2×C3×#53411yescharacteristic, complemented
659C2—24no—
660C2—24no—
661C2—24no—
662C2—44no—
663C2—124no—
664C2C3×#580414yesdirect product factor
665C2C2×C3×#100412yes—
666C2C23×C3×#6711yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC23×C32×D4C2
socleC23×C32C24
hypercenterC23×C3×D4D3
hypocenterC3C2×C3×#534
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C23×C3×D4

Complements

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

NH ≅ G/Ntype
1. C23×C32×D4C2semidirect
2. C23×C3×#67C2semidirect
3. C2×C3×#953C2semidirect
4. C22×C3×#217C2semidirect
5. C3×#5804C2direct (N × H)
6. C2×C3×#939C2semidirect
7. C2×C3×#937C2semidirect
8. C2×C3×#935C2semidirect
9. C2×C3×#929C2semidirect
11. C2×#5804C3direct (N × H)
13. C25×C32C22semidirect
14. C24×C3×D3C22semidirect
17. C22×C32×D4C22semidirect
18. C22×C32×D4C22semidirect
19. C23×C32×C4C22semidirect
22. C22×C3×#67C22semidirect
23. C22×C3×#67C22semidirect
24. C22×C3×#67C22semidirect
25. C23×C3×Dic3C22semidirect
26. C23×C3×Dic3C22semidirect
27. C3×#953C22semidirect
28. C2×C3×#217C22semidirect
29. C2×C3×#217C22semidirect
30. C2×C3×#217C22semidirect
31. C2×C3×#217C22semidirect
32. C3×#939C22semidirect
33. C3×#937C22semidirect
34. C3×#935C22semidirect
35. C3×#929C22semidirect
36. C2×C3×(C2×D3)⋊C4C22semidirect
37. C2×C3×Dic3⋊C4C22semidirect
40. C23×C3×D4D3semidirect
41. C23×C3×D4C2×C3semidirect
42. C23×#67C2×C3semidirect
50. C2×#953C2×C3semidirect
51. C22×#217C2×C3semidirect
52. #5804C2×C3direct (N × H)
53. C2×#939C2×C3semidirect
54. C2×#937C2×C3semidirect
55. C2×#935C2×C3semidirect
56. C2×#929C2×C3semidirect
60. C24×C32D4semidirect
66. C24×C32C23semidirect
70. C23×C3×D3C23semidirect
75. C2×C32×D4C23semidirect
78. C22×C32×C4C23semidirect
84. C2×C3×#67C23semidirect
85. C2×C3×#67C23semidirect
90. C22×C3×Dic3C23semidirect
91. C22×C3×Dic3C23semidirect
92. C3×#217C23semidirect
93. C3×#217C23semidirect
94. C3×#217C23semidirect
95. C3×(C2×D3)⋊C4C23semidirect
96. C3×Dic3⋊C4C23semidirect
102. C25×C3C2×D3semidirect
104. C25×C3C22×C3semidirect
105. C24×D3C22×C3semidirect
118. C22×C3×D4C2×D3semidirect
119. C22×C3×D4C2×D3semidirect
121. C22×C3×D4C22×C3semidirect
122. C22×C3×D4C22×C3semidirect
126. C23×C3×C4C2×D3semidirect
127. C23×C3×C4C22×C3semidirect
130. C22×#67C22×C3semidirect
131. C22×#67C22×C3semidirect
132. C22×#67C22×C3semidirect
133. C23×Dic3C22×C3semidirect
134. C23×Dic3C22×C3semidirect
146. #953C22×C3semidirect
147. C2×#217C22×C3semidirect
148. C2×#217C22×C3semidirect
149. C2×#217C22×C3semidirect
150. C2×#217C22×C3semidirect
151. #939C22×C3semidirect
152. #937C22×C3semidirect
153. #935C22×C3semidirect
154. #929C22×C3semidirect
155. C2×(C2×D3)⋊C4C22×C3semidirect
156. C2×Dic3⋊C4C22×C3semidirect
170. C23×C32C2×D4semidirect
197. C23×D4C3×D3semidirect
225. C24×C3#67semidirect
226. C24×C3C3×D4semidirect
232. C24×C3C22×D3semidirect
238. C24×C3C23×C3semidirect
242. C23×D3C23×C3semidirect
262. C2×C3×D4C22×D3semidirect
264. C2×C3×D4C23×C3semidirect
277. C22×C3×C4C22×D3semidirect
279. C22×C3×C4C23×C3semidirect
285. C2×#67C23×C3semidirect
286. C2×#67C23×C3semidirect
291. C22×Dic3C23×C3semidirect
292. C22×Dic3C23×C3semidirect
298. #217C23×C3semidirect
299. #217C23×C3semidirect
300. #217C23×C3semidirect
301. (C2×D3)⋊C4C23×C3semidirect
302. Dic3⋊C4C23×C3semidirect
329. C25C2×C3×D3semidirect
337. C22×D4C2×C3×D3semidirect
338. C22×D4C2×C3×D3semidirect
341. C23×C4C2×C3×D3semidirect
401. C23×C3C2×#67semidirect
405. C23×C3C2×C3×D4semidirect
459. C2×C32#534semidirect
470. C24C3×#67semidirect
476. C24C22×C3×D3semidirect
488. C2×D4C22×C3×D3semidirect
497. C22×C4C22×C3×D3semidirect
569. C32C2×#534semidirect
589. C23C2×C3×#67semidirect
625. C2×C3#5804direct (N × H)
626. C2×C3C3×#534semidirect
657. C3C2×#5804direct (N × H)
658. C3C2×C3×#534semidirect
664. C2C3×#5804direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C32×D42
C23×C3×#672
C2×C3×#9532
C22×C3×#2172
C3×#58042
C2×C3×#9392
C2×C3×#9372
C2×C3×#9352
C2×C3×#9292
C2×C3×#5343
C2×#58043