Finite Group Databasebeta

← C3×#87273 #11904386

Subgroups — C3×#87273 #11904386

Order 1152.

3565 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×#41C211yesmaximal, characteristic, complemented
2C2×C3×#1004C211yesmaximal, characteristic, complemented
3C3×#5829C218yesmaximal, complemented
4C3×#5824C218yesmaximal, complemented
5C3×#5816C212yesmaximal, complemented
6C3×#5804C214yesmaximal, complemented
7C3×#5798C211yesmaximal, characteristic, complemented
8C3×#5791C212yesmaximal, complemented
9C2×C3×#929C214yesmaximal, complemented
10C3×#3485—31nomaximal
11#87273C311yesmaximal, characteristic, direct product factor
12C2×C32×#41—28no—
13C2×C32×#41C2218yescomplemented
14C22×C32×Q8C2211yescharacteristic, complemented
15C22×C32×D4C2211yescharacteristic
16C22×C32×D4C2212yescomplemented
17C23×C32×C4C2212yescomplemented
18C23×C32×C4C2211yescharacteristic, complemented
19C22×C3×#67C2214yes—
20C3×#1004—28no—
21C2×C3×#237C2214yescomplemented
22C2×C3×D3×D4C2214yescomplemented
23C2×C3×#235C2212yes—
24C3×#953C2214yescomplemented
25C2×C3×#217C2214yescomplemented
26C3×#947C2214yescomplemented
27C3×#946C2218yescomplemented
28C3×#944C2214yescomplemented
29C3×#939C22116yescomplemented
30C3×#937C2218yescomplemented
31C3×#935C2218yescomplemented
32C3×D4×Dic3C2218yescomplemented
33C3×#930C2214yescomplemented
34C3×#929C2214yescomplemented
35C3×#929C2218yescomplemented
36C3×#929C22116yescomplemented
37C3×C4×#67C2218yescomplemented
38C2×C3×(C2×D3)⋊C4C2218yescomplemented
39C3×#926C2212yescomplemented
40C3×#924C2214yescomplemented
41C2×C3×Dic3⋊C4C2218yescomplemented
42C2×C3×H(5,𝔽2)—31no—
43C22×C3×#41—21no—
44C22×C3×#41D311yescharacteristic, complemented
45C22×C3×#41C2×C311yescharacteristic, complemented
46C2×#1004C2×C311yescharacteristic, complemented
47C3×#547—38no—
48C3×#546—38no—
49C3×#536—32no—
50C3×#534—34no—
51C3×#525—32no—
52C2×C3×#123—34no—
53C3×#518—31no—
54#5829C2×C318yescomplemented
55#5824C2×C318yescomplemented
56#5816C2×C312yescomplemented
57#5804C2×C314yescomplemented
58#5798C2×C311yescharacteristic, complemented
59#5791C2×C312yescomplemented
60C2×#929C2×C314yescomplemented
61C24×C32C2311yescharacteristic
62C24×C32C2312yes—
63C23×C3×D3C2314yes—
64C32×#41—232no—
65C2×C32×Q8—24no—
66C2×C32×Q8C2314yes—
67C2×C32×D4—28no—
68C2×C32×D4D418yescomplemented
69C2×C32×D4C2318yes—
70C2×C32×D4C2314yes—
71C22×C32×C4—28no—
72C22×C32×C4—24no—
73C22×C32×C4C2318yes—
74C22×C32×C4C2314yes—
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2312yes—
77C22×C32×C4C2311yescharacteristic
78C2×C3×#67—216no—
79C2×C3×#67C2314yes—
80C2×C3×#67C2318yes—
81C2×C3×#67C2318yes—
82C22×C3×Dic3C2314yes—
83C22×C3×Dic3C2318yes—
84C3×#237—216no—
85C3×D3×D4—216no—
86C3×#235—28no—
87C2×C3×D12C2312yes—
88C2×C3×C4×D3C2314yes—
89C2×C3×Dic6C2312yes—
90C3×#217C2318yes—
91C3×#217C2314yes—
92C3×#217C2318yes—
93C3×(C2×D3)⋊C4C2318yes—
94C3×(C2×D3)⋊C4C23116yes—
95C3×C4⋊Dic3C2314yes—
96C3×Dic3⋊C4C2318yes—
97C3×Dic3⋊C4C23116yes—
98C3×C4×Dic3C2314yes—
99#3485—31noSylow
100C3×H(5,𝔽2)—68no—
101C2×C3×#41—216no—
102C2×C3×#41—28no—
103C2×C3×#41—28no—
104C2×C3×#41—28no—
105C2×C3×#41—34no—
106C2×C3×#41—32no—
107C2×C3×#41C2×D318yescomplemented
108C2×C3×#41C22×C318yescomplemented
109C22×C3×Q8—21no—
110C22×C3×Q8C2×D311yescharacteristic, complemented
111C22×C3×Q8C22×C311yescharacteristic, complemented
112C22×C3×D4—21no—
113C22×C3×D4—22no—
114C22×C3×D4—34no—
115C22×C3×D4—34no—
116C22×C3×D4C2×D311yescharacteristic
117C22×C3×D4C2×D312yescomplemented
118C22×C3×D4C22×C311yescharacteristic
119C22×C3×D4C22×C312yescomplemented
120C23×C3×C4—22no—
121C23×C3×C4—21no—
122C23×C3×C4C2×D312yescomplemented
123C23×C3×C4C2×D311yescharacteristic, complemented
124C23×C3×C4C22×C312yescomplemented
125C23×C3×C4C22×C311yescharacteristic, complemented
126C22×#67C22×C314yes—
127#1004—28no—
128C2×#237C22×C314yescomplemented
129C2×D3×D4C22×C314yescomplemented
130C2×#235C22×C312yes—
131C3×C4⋊Q8—34no—
132C3×#124—34no—
133C3×#123—38no—
134C3×#123—34no—
135C3×#123—38no—
136C3×#123—316no—
137C3×C22⋊Q8—38no—
138C3×C22⋊Q8—34no—
139C3×#121—316no—
140C3×#121—34no—
141C3×#120—34no—
142C3×#120—38no—
143C3×C4×D4—38no—
144C3×C4×D4—38no—
145C3×#117—32no—
146C2×C3×C4⋊C4—38no—
147C2×C3×C22⋊C4—34no—
148C2×C3×C22⋊C4—38no—
149#953C22×C314yescomplemented
150C2×#217C22×C314yescomplemented
151#947C22×C314yescomplemented
152#946C22×C318yescomplemented
153#944C22×C314yescomplemented
154#939C22×C3116yescomplemented
155#937C22×C318yescomplemented
156#935C22×C318yescomplemented
157D4×Dic3C22×C318yescomplemented
158#930C22×C314yescomplemented
159#929C22×C314yescomplemented
160#929C22×C318yescomplemented
161#929C22×C3116yescomplemented
162C4×#67C22×C318yescomplemented
163C2×(C2×D3)⋊C4C22×C318yescomplemented
164#926C22×C312yescomplemented
165#924C22×C314yescomplemented
166C2×Dic3⋊C4C22×C318yescomplemented
167C23×C32—22no—
168C23×C32—44no—
169C23×C32—42no—
170C23×C32C2×D418yes—
171C23×C32C2412yes—
172C23×C32C2414yes—
173C23×C32C2411yescharacteristic
174C22×C3×D3—28no—
175C22×C3×D3—48no—
176C22×C3×D3C2414yes—
177C32×Q8—28no—
178C32×D4—216no—
179C32×D4C2×D4116yes—
180C2×C32×C4—22no—
181C2×C32×C4—24no—
182C2×C32×C4—216no—
183C2×C32×C4—28no—
184C2×C32×C4C2×D414yes—
185C2×C32×C4C2412yes—
186C2×C32×C4C2414yes—
187C2×C32×C4C2412yes—
188C3×#67—28no—
189C3×#67—216no—
190C3×#67—48no—
191C2×C3×Dic3—28no—
192C2×C3×Dic3—48no—
193C2×C3×Dic3C2418yes—
194C2×C3×Dic3C2414yes—
195C3×D12—24no—
196C3×C4×D3—28no—
197C3×Dic6—24no—
198C2×H(5,𝔽2)—31no—
199C22×#41C3×D311yescharacteristic, complemented
200#547—38no—
201#546—38no—
202#536—32no—
203#534—34no—
204#525—32no—
205C2×#123—34no—
206#518—31no—
207C24×C3—21no—
208C24×C3—22no—
209C24×C3—34no—
210C24×C3C22×D311yescharacteristic
211C24×C3C22×D312yes—
212C24×C3C23×C311yescharacteristic
213C24×C3C23×C312yes—
214C23×D3C23×C314yes—
215C3×#41—264no—
216C3×#41—232no—
217C3×#41—232no—
218C3×#41—616no—
219C3×#41—68no—
220C2×C3×Q8—28no—
221C2×C3×Q8—24no—
222C2×C3×Q8—24no—
223C2×C3×Q8—24no—
224C2×C3×Q8—32no—
225C2×C3×Q8C22×D314yes—
226C2×C3×Q8C23×C314yes—
227C2×C3×D4—216no—
228C2×C3×D4—28no—
229C2×C3×D4—28no—
230C2×C3×D4—28no—
231C2×C3×D4—28no—
232C2×C3×D4—24no—
233C2×C3×D4—34no—
234C2×C3×D4—38no—
235C2×C3×D4—38no—
236C2×C3×D4—32no—
237C2×C3×D4—616no—
238C2×C3×D4—616no—
239C2×C3×D4#6718yescomplemented
240C2×C3×D4C3×D418yescomplemented
241C2×C3×D4C22×D318yes—
242C2×C3×D4C22×D314yes—
243C2×C3×D4C23×C318yes—
244C2×C3×D4C23×C314yes—
245C22×C3×C4—216no—
246C22×C3×C4—28no—
247C22×C3×C4—28no—
248C22×C3×C4—28no—
249C22×C3×C4—24no—
250C22×C3×C4—24no—
251C22×C3×C4—21no—
252C22×C3×C4—22no—
253C22×C3×C4—21no—
254C22×C3×C4—28no—
255C22×C3×C4—24no—
256C22×C3×C4—34no—
257C22×C3×C4—38no—
258C22×C3×C4—34no—
259C22×C3×C4C22×D318yes—
260C22×C3×C4C22×D314yes—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D312yes—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C23×C318yes—
265C22×C3×C4C23×C314yes—
266C22×C3×C4C23×C311yescharacteristic
267C22×C3×C4C23×C312yes—
268C22×C3×C4C23×C311yescharacteristic
269C2×#67—216no—
270C2×#67C23×C314yes—
271C2×#67C23×C318yes—
272C2×#67C23×C318yes—
273C22×Dic3C23×C314yes—
274C22×Dic3C23×C318yes—
275#237—216no—
276D3×D4—216no—
277#235—28no—
278C2×D12C23×C312yes—
279C2×C4×D3C23×C314yes—
280C2×Dic6C23×C312yes—
281C3×C4⋊C4—38no—
282C3×C4⋊C4—316no—
283C3×C4⋊C4—34no—
284C3×C22⋊C4—34no—
285C3×C22⋊C4—38no—
286C3×C22⋊C4—38no—
287C3×C22⋊C4—38no—
288C3×C22⋊C4—316no—
289C3×C42—34no—
290#217C23×C318yes—
291#217C23×C314yes—
292#217C23×C318yes—
293(C2×D3)⋊C4C23×C318yes—
294(C2×D3)⋊C4C23×C3116yes—
295C4⋊Dic3C23×C314yes—
296Dic3⋊C4C23×C318yes—
297Dic3⋊C4C23×C3116yes—
298C4×Dic3C23×C314yes—
299C22×C32—22no—
300C22×C32—22no—
301C22×C32—28no—
302C22×C32—24no—
303C22×C32—48no—
304C22×C32—44no—
305C22×C32C22×D418yes—
306C22×C32C22×D412yes—
307C22×C32C2511yescharacteristic
308C2×C3×D3—24no—
309C2×C3×D3—28no—
310C2×C3×D3—88no—
311C32×C4—22no—
312C32×C4—24no—
313C32×C4C22×D414yes—
314C3×Dic3—24no—
315C3×Dic3—28no—
316H(5,𝔽2)—68no—
317C2×#41—28no—
318C2×#41—34no—
319C2×#41—32no—
320C2×#41C2×C3×D318yescomplemented
321C22×Q8C2×C3×D311yescharacteristic, complemented
322C22×D4—34no—
323C22×D4—34no—
324C22×D4C2×C3×D311yescharacteristic
325C22×D4C2×C3×D312yescomplemented
326C23×C4C2×C3×D312yescomplemented
327C23×C4C2×C3×D311yescharacteristic, complemented
328C4⋊Q8—34no—
329#124—34no—
330#123—38no—
331#123—34no—
332#123—38no—
333#123—316no—
334C22⋊Q8—38no—
335C22⋊Q8—34no—
336#121—316no—
337#121—34no—
338#120—34no—
339#120—38no—
340C4×D4—38no—
341C4×D4—38no—
342#117—32no—
343C2×C4⋊C4—38no—
344C2×C22⋊C4—34no—
345C2×C22⋊C4—38no—
346C23×C3—24no—
347C23×C3—22no—
348C23×C3—22no—
349C23×C3—21no—
350C23×C3—22no—
351C23×C3—24no—
352C23×C3—28no—
353C23×C3—34no—
354C23×C3—44no—
355C23×C3—42no—
356C23×C3—44no—
357C23×C3—42no—
358C23×C3—48no—
359C23×C3—44no—
360C23×C3—68no—
361C23×C3—128no—
362C23×C3C2×#6718yes—
363C23×C3C2×C3×D418yes—
364C23×C3C23×D312yes—
365C23×C3C23×D311yescharacteristic
366C23×C3C23×D314yes—
367C23×C3C24×C312yes—
368C23×C3C24×C311yescharacteristic
369C23×C3C24×C314yes—
370C22×D3—28no—
371C22×D3—48no—
372C22×D3C24×C314yes—
373C3×Q8—216no—
374C3×Q8—28no—
375C3×Q8—28no—
376C3×Q8—64no—
377C3×D4—232no—
378C3×D4—216no—
379C3×D4—216no—
380C3×D4—216no—
381C3×D4—68no—
382C3×D4—616no—
383C3×D4—64no—
384C3×D4—128no—
385C3×D4C2×#67116yes—
386C3×D4C2×C3×D4116yes—
387C2×C3×C4—24no—
388C2×C3×C4—28no—
389C2×C3×C4—232no—
390C2×C3×C4—216no—
391C2×C3×C4—22no—
392C2×C3×C4—24no—
393C2×C3×C4—216no—
394C2×C3×C4—22no—
395C2×C3×C4—24no—
396C2×C3×C4—216no—
397C2×C3×C4—28no—
398C2×C3×C4—28no—
399C2×C3×C4—22no—
400C2×C3×C4—24no—
401C2×C3×C4—22no—
402C2×C3×C4—24no—
403C2×C3×C4—38no—
404C2×C3×C4—34no—
405C2×C3×C4—68no—
406C2×C3×C4—68no—
407C2×C3×C4—128no—
408C2×C3×C4C2×#6714yes—
409C2×C3×C4C2×C3×D414yes—
410C2×C3×C4C23×D312yes—
411C2×C3×C4C23×D314yes—
412C2×C3×C4C23×D312yes—
413C2×C3×C4C24×C312yes—
414C2×C3×C4C24×C314yes—
415C2×C3×C4C24×C312yes—
416#67—28no—
417#67—216no—
418#67—48no—
419C2×Dic3—28no—
420C2×Dic3—48no—
421C2×Dic3C24×C318yes—
422C2×Dic3C24×C314yes—
423D12—24no—
424C4×D3—28no—
425Dic6—24no—
426C2×C32—22no—
427C2×C32—28no—
428C2×C32—42no—
429C2×C32C23×D411yescharacteristic
430C2×C32#58512yes—
431C3×D3—44no—
432C24—34no—
433C24C22×C3×D311yescharacteristic
434C24C22×C3×D312yes—
435#41—232no—
436#41—616no—
437#41—68no—
438C2×Q8—24no—
439C2×Q8—32no—
440C2×Q8C22×C3×D314yes—
441C2×D4—28no—
442C2×D4—34no—
443C2×D4—38no—
444C2×D4—38no—
445C2×D4—32no—
446C2×D4—616no—
447C2×D4—616no—
448C2×D4C3×#6718yescomplemented
449C2×D4C22×C3×D318yes—
450C2×D4C22×C3×D314yes—
451C22×C4—28no—
452C22×C4—24no—
453C22×C4—34no—
454C22×C4—38no—
455C22×C4—34no—
456C22×C4C22×C3×D318yes—
457C22×C4C22×C3×D314yes—
458C22×C4C22×C3×D311yescharacteristic
459C22×C4C22×C3×D312yes—
460C22×C4C22×C3×D311yescharacteristic
461C4⋊C4—38no—
462C4⋊C4—316no—
463C4⋊C4—34no—
464C22⋊C4—34no—
465C22⋊C4—38no—
466C22⋊C4—38no—
467C22⋊C4—38no—
468C22⋊C4—316no—
469C42—34no—
470C22×C3—24no—
471C22×C3—28no—
472C22×C3—22no—
473C22×C3—28no—
474C22×C3—22no—
475C22×C3—24no—
476C22×C3—24no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—24no—
480C22×C3—22no—
481C22×C3—28no—
482C22×C3—21no—
483C22×C3—48no—
484C22×C3—44no—
485C22×C3—48no—
486C22×C3—48no—
487C22×C3—416no—
488C22×C3—48no—
489C22×C3—44no—
490C22×C3—44no—
491C22×C3—68no—
492C22×C3—64no—
493C22×C3—248no—
494C22×C3C22×#6712yes—
495C22×C3C22×#6718yes—
496C22×C3C22×C3×D418yes—
497C22×C3C22×C3×D412yes—
498C22×C3C24×D311yescharacteristic
499C22×C3C25×C311yescharacteristic
500C2×D3—24no—
501C2×D3—28no—
502C2×D3—88no—
503C3×C4—24no—
504C3×C4—28no—
505C3×C4—22no—
506C3×C4—24no—
507C3×C4—22no—
508C3×C4—24no—
509C3×C4—24no—
510C3×C4—68no—
511C3×C4—64no—
512C3×C4C22×#6714yes—
513C3×C4C22×C3×D414yes—
514Dic3—24no—
515Dic3—28no—
516C32#348511yescharacteristic, complemented, Sylow
517C23—22no—
518C23—34no—
519C23—44no—
520C23—42no—
521C23—68no—
522C23—128no—
523C23C2×C3×#6718yes—
524C23C23×C3×D312yes—
525C23C23×C3×D311yescharacteristic
526C23C23×C3×D314yes—
527Q8—28no—
528Q8—64no—
529D4—216no—
530D4—68no—
531D4—616no—
532D4—64no—
533D4—128no—
534D4C2×C3×#67116yes—
535C2×C4—22no—
536C2×C4—24no—
537C2×C4—216no—
538C2×C4—28no—
539C2×C4—38no—
540C2×C4—34no—
541C2×C4—68no—
542C2×C4—68no—
543C2×C4—128no—
544C2×C4C2×C3×#6714yes—
545C2×C4C23×C3×D312yes—
546C2×C4C23×C3×D314yes—
547C2×C4C23×C3×D312yes—
548C2×C3—24no—
549C2×C3—28no—
550C2×C3—22no—
551C2×C3—22no—
552C2×C3—28no—
553C2×C3—22no—
554C2×C3—21no—
555C2×C3—48no—
556C2×C3—44no—
557C2×C3—42no—
558C2×C3—42no—
559C2×C3—124no—
560C2×C3#596412yes—
561C2×C3C23×#6711yescharacteristic
562C2×C3C23×C3×D411yescharacteristic
563C2×C3C3×#58512yes—
564D3—44no—
565C22—28no—
566C22—22no—
567C22—24no—
568C22—22no—
569C22—48no—
570C22—44no—
571C22—68no—
572C22—64no—
573C22—248no—
574C22C22×C3×#6712yes—
575C22C22×C3×#6718yes—
576C22C24×C3×D311yescharacteristic
577C4—22no—
578C4—24no—
579C4—68no—
580C4—64no—
581C4C22×C3×#6714yes—
582C3—21no—
583C3#8727311yescharacteristic, direct product factor
584C3C3×#348511yescharacteristic, complemented
585C2—22no—
586C2—28no—
587C2—42no—
588C2—124no—
589C2C3×#596412yes—
590C2C23×C3×#6711yescharacteristic
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC22×C32×#41C2
socleC22×C32C25
hypercenterC22×C3×#41D3
hypocenterC3C3×#3485
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×#41

Complements

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

NH ≅ G/Ntype
1. C22×C32×#41C2semidirect
2. C2×C3×#1004C2semidirect
3. C3×#5829C2semidirect
4. C3×#5824C2semidirect
5. C3×#5816C2semidirect
6. C3×#5804C2semidirect
7. C3×#5798C2semidirect
8. C3×#5791C2semidirect
9. C2×C3×#929C2semidirect
11. #87273C3direct (N × H)
13. C2×C32×#41C22semidirect
14. C22×C32×Q8C22semidirect
16. C22×C32×D4C22semidirect
17. C23×C32×C4C22semidirect
18. C23×C32×C4C22semidirect
21. C2×C3×#237C22semidirect
22. C2×C3×D3×D4C22semidirect
24. C3×#953C22semidirect
25. C2×C3×#217C22semidirect
26. C3×#947C22semidirect
27. C3×#946C22semidirect
28. C3×#944C22semidirect
29. C3×#939C22semidirect
30. C3×#937C22semidirect
31. C3×#935C22semidirect
32. C3×D4×Dic3C22semidirect
33. C3×#930C22semidirect
34. C3×#929C22semidirect
35. C3×#929C22semidirect
36. C3×#929C22semidirect
37. C3×C4×#67C22semidirect
38. C2×C3×(C2×D3)⋊C4C22semidirect
39. C3×#926C22semidirect
40. C3×#924C22semidirect
41. C2×C3×Dic3⋊C4C22semidirect
44. C22×C3×#41D3semidirect
45. C22×C3×#41C2×C3semidirect
46. C2×#1004C2×C3semidirect
54. #5829C2×C3semidirect
55. #5824C2×C3semidirect
56. #5816C2×C3semidirect
57. #5804C2×C3semidirect
58. #5798C2×C3semidirect
59. #5791C2×C3semidirect
60. C2×#929C2×C3semidirect
68. C2×C32×D4D4semidirect
107. C2×C3×#41C2×D3semidirect
108. C2×C3×#41C22×C3semidirect
110. C22×C3×Q8C2×D3semidirect
111. C22×C3×Q8C22×C3semidirect
117. C22×C3×D4C2×D3semidirect
119. C22×C3×D4C22×C3semidirect
122. C23×C3×C4C2×D3semidirect
123. C23×C3×C4C2×D3semidirect
124. C23×C3×C4C22×C3semidirect
125. C23×C3×C4C22×C3semidirect
128. C2×#237C22×C3semidirect
129. C2×D3×D4C22×C3semidirect
149. #953C22×C3semidirect
150. C2×#217C22×C3semidirect
151. #947C22×C3semidirect
152. #946C22×C3semidirect
153. #944C22×C3semidirect
154. #939C22×C3semidirect
155. #937C22×C3semidirect
156. #935C22×C3semidirect
157. D4×Dic3C22×C3semidirect
158. #930C22×C3semidirect
159. #929C22×C3semidirect
160. #929C22×C3semidirect
161. #929C22×C3semidirect
162. C4×#67C22×C3semidirect
163. C2×(C2×D3)⋊C4C22×C3semidirect
164. #926C22×C3semidirect
165. #924C22×C3semidirect
166. C2×Dic3⋊C4C22×C3semidirect
199. C22×#41C3×D3semidirect
239. C2×C3×D4#67semidirect
240. C2×C3×D4C3×D4semidirect
320. C2×#41C2×C3×D3semidirect
321. C22×Q8C2×C3×D3semidirect
325. C22×D4C2×C3×D3semidirect
326. C23×C4C2×C3×D3semidirect
327. C23×C4C2×C3×D3semidirect
448. C2×D4C3×#67semidirect
516. C32#3485semidirect
583. C3#87273direct (N × H)
584. C3C3×#3485semidirect

Maximal subgroups

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

subgroupindex
C22×C32×#412
C2×C3×#10042
C3×#58292
C3×#58242
C3×#58162
C3×#58042
C3×#57982
C3×#57912
C2×C3×#9292
C3×#34853
#872733