Finite Group Databasebeta

← C3×#79988 #11870403

Subgroups — C3×#79988 #11870403

Order 1152.

1083 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
2C3×#5596C211yesmaximal, characteristic, complemented
3C32×#447C211yesmaximal, characteristic, complemented
4C3×#5217C211yesmaximal, characteristic, complemented
5C3×#5150C212yesmaximal, complemented
6C3×Dic3×D8C212yesmaximal, complemented
7C3×#5033C211yesmaximal, characteristic, complemented
8C3×#4759C212yesmaximal, complemented
9C3×#4756C212yesmaximal, complemented
10C3×#4736C211yesmaximal, characteristic, complemented
11C3×#4718C211yesmaximal, characteristic, complemented
12C3×#3100—31nomaximal
13#79988C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C23×C3×Dic3—21no—
16C2×C3×#237—21no—
17C2×C32×D8C2212yes—
18C32×#121C2211yescharacteristic
19C2×C3×#217—21no—
20C3×#940C2211yescharacteristic, complemented
21C3×#939—21no—
22C3×D4×Dic3—21no—
23C3×D4×Dic3—21no—
24C3×D4×Dic3C2212yes—
25C3×D4×Dic3C2212yes—
26C3×D4×Dic3C2211yescharacteristic, complemented
27C2×C3×#213C2212yes—
28C3×#930C2211yescharacteristic
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4×Dic3C2211yescharacteristic
31C3×#893C2211yescharacteristic, complemented
32C3×#888C2211yescharacteristic, complemented
33C3×#885—21no—
34C3×#67⋊C4—21no—
35C32×#102C2212yes—
36C32×C22⋊C8C2211yescharacteristic
37C3×#832C2212yes—
38C3×#832C2212yescomplemented
39C3×#830C2211yescharacteristic
40C3×#821C2212yescomplemented
41C3×#818C2212yescomplemented
42C3×Dic3⋊C8C2212yescomplemented
43C3×C8×Dic3C2212yescomplemented
44C3×#807C2212yescomplemented
45C3×#532—31no—
46C2×C3×C4×D4—31no—
47C2×D4×Dic3C2×C311yescharacteristic, complemented
48#5596C2×C311yescharacteristic, complemented
49C3×#480—31no—
50C3×#480—31no—
51C3×#474—32no—
52C3×#459—32no—
53C3×#447—21no—
54C3×#447—31no—
55C3×#447D311yescharacteristic, complemented
56C3×#447C2×C311yescharacteristic, complemented
57C3×C4×D8—32no—
58C3×C4×D8—32no—
59C3×#431—31no—
60#5217C2×C311yescharacteristic, complemented
61#5150C2×C312yescomplemented
62Dic3×D8C2×C312yescomplemented
63#5033C2×C311yescharacteristic, complemented
64#4759C2×C312yescomplemented
65#4756C2×C312yescomplemented
66#4736C2×C311yescharacteristic, complemented
67#4718C2×C311yescharacteristic, complemented
68C24×C32—21no—
69C2×C32×D4—24no—
70C2×C32×D4—21no—
71C2×C32×D4—21no—
72C2×C32×D4C2311yescharacteristic
73C2×C32×D4C2312yes—
74C22×C32×C4C2311yescharacteristic
75C2×C3×#67—21no—
76C2×C3×#67—21no—
77C2×C3×#67—21no—
78C22×C3×Dic3—21no—
79C22×C3×Dic3—21no—
80C22×C3×Dic3—22no—
81C22×C3×Dic3—22no—
82C22×C3×Dic3—44no—
83C22×C3×Dic3D411yescharacteristic
84C22×C3×Dic3D411yescharacteristic
85C3×#237—44no—
86C2×C3×D12C2311yescharacteristic
87C2×C3×C4×D3—21no—
88C2×C3×Dic6—21no—
89C32×D8—24no—
90C2×C32×C8C2312yes—
91C32×C4⋊C4C2311yescharacteristic
92C32×C22⋊C4—21no—
93C3×#217—21no—
94C3×#217—22no—
95C3×#217—22no—
96C3×#213—24no—
97C3×(C2×D3)⋊C4—21no—
98C3×(C2×D3)⋊C4—21no—
99C3×C4⋊Dic3—21no—
100C3×C4⋊Dic3C2311yescharacteristic
101C3×C4⋊Dic3C2312yes—
102C3×Dic3⋊C4—21no—
103C3×C4×Dic3D411yescharacteristic
104C3×C4×Dic3D411yescharacteristic
105C3×C4×Dic3C2311yescharacteristic
106C3×C4×Dic3C2311yescharacteristic
107C2×C3×C3⋊C8C2312yes—
108#3100—31noSylow
109C2×C3×#41—61no—
110C22×C3×D4—21no—
111C22×C3×D4C2×D311yescharacteristic
112C22×C3×D4C22×C311yescharacteristic
113C23×C3×C4—61no—
114C23×Dic3—21no—
115C2×#237—21no—
116C2×C3×D8—22no—
117C2×C3×D8—32no—
118C2×C3×D8C2×D312yes—
119C2×C3×D8C22×C312yes—
120C3×C4⋊Q8—31no—
121C3×#127—31no—
122C3×#124—61no—
123C3×#121—21no—
124C3×#121—31no—
125C3×#121—61no—
126C3×#121C2×D311yescharacteristic
127C3×#121C22×C311yescharacteristic
128C3×C4×D4—32no—
129C3×C4×D4—32no—
130C3×C4×D4—31no—
131C3×C4×D4—31no—
132C3×C4×D4—61no—
133C3×C4×D4—61no—
134C3×C4×D4—61no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C22⋊C4—61no—
137C2×C3×C42—31no—
138C2×#217—21no—
139#940C22×C311yescharacteristic, complemented
140#939—21no—
141D4×Dic3—21no—
142D4×Dic3—21no—
143D4×Dic3C22×C312yes—
144D4×Dic3C22×C312yes—
145D4×Dic3C22×C311yescharacteristic, complemented
146C2×#213C22×C312yes—
147#930C22×C311yescharacteristic
148C2×C4⋊Dic3C22×C311yescharacteristic
149C2×C4×Dic3C22×C311yescharacteristic
150#893C22×C311yescharacteristic, complemented
151#888C22×C311yescharacteristic, complemented
152#885—21no—
153#67⋊C4—21no—
154C3×#107—32no—
155C3×#107—32no—
156C3×C4⋊C8—32no—
157C3×#102—22no—
158C3×#102—32no—
159C3×#102—32no—
160C3×#102—32no—
161C3×#102C2×D312yes—
162C3×#102C22×C312yes—
163C3×C22⋊C8—21no—
164C3×C22⋊C8—31no—
165C3×C22⋊C8C2×D311yescharacteristic
166C3×C22⋊C8C22×C311yescharacteristic
167C3×C4×C8—32no—
168#832C22×C312yes—
169#832C22×C312yescomplemented
170#830C22×C311yescharacteristic
171#821C22×C312yescomplemented
172#818C22×C312yescomplemented
173Dic3⋊C8C22×C312yescomplemented
174C8×Dic3C22×C312yescomplemented
175#807C22×C312yescomplemented
176C23×C32—24no—
177C23×C32—22no—
178C23×C32—21no—
179C23×C32—42no—
180C23×C32—42no—
181C23×C32C2×D411yescharacteristic
182C22×C3×D3—21no—
183C32×D4—24no—
184C32×D4—22no—
185C32×D4—22no—
186C32×D4—42no—
187C32×D4#4114yescomplemented
188C2×C32×C4—22no—
189C2×C32×C4—21no—
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4C2411yescharacteristic
192C3×#67—42no—
193C3×#67—42no—
194C3×#67—42no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—41no—
198C2×C3×Dic3—42no—
199C2×C3×Dic3—42no—
200C2×C3×Dic3—44no—
201C2×C3×Dic3—44no—
202C2×C3×Dic3D814yescomplemented
203C2×C3×Dic3C2×D411yescharacteristic
204C2×C3×Dic3C2×D411yescharacteristic
205C2×C3×Dic3C2×D411yescharacteristic
206C2×C3×Dic3C2×D411yescharacteristic
207C3×D12—22no—
208C3×C4×D3—42no—
209C3×Dic6—42no—
210C32×C8—22no—
211C3×C3⋊C8—22no—
212#532—31no—
213C2×C4×D4—31no—
214#480—31no—
215#480—31no—
216#474—32no—
217#459—32no—
218#447—31no—
219#447C3×D311yescharacteristic, complemented
220C4×D8—32no—
221C4×D8—32no—
222#431—31no—
223C24×C3—21no—
224C24×C3—21no—
225C24×C3—41no—
226C3×#41—124no—
227C2×C3×Q8—61no—
228C2×C3×D4—24no—
229C2×C3×D4—24no—
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—21no—
234C2×C3×D4—22no—
235C2×C3×D4—21no—
236C2×C3×D4—31no—
237C2×C3×D4—41no—
238C2×C3×D4—44no—
239C2×C3×D4—41no—
240C2×C3×D4—61no—
241C2×C3×D4—61no—
242C2×C3×D4—61no—
243C2×C3×D4C22×D311yescharacteristic
244C2×C3×D4C22×D312yes—
245C2×C3×D4C23×C311yescharacteristic
246C2×C3×D4C23×C312yes—
247C22×C3×C4—21no—
248C22×C3×C4—31no—
249C22×C3×C4—31no—
250C22×C3×C4—61no—
251C22×C3×C4—62no—
252C22×C3×C4—62no—
253C22×C3×C4—61no—
254C22×C3×C4—61no—
255C22×C3×C4—124no—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C23×C311yescharacteristic
258C2×#67—21no—
259C2×#67—21no—
260C2×#67—21no—
261C22×Dic3—21no—
262C22×Dic3—21no—
263C22×Dic3—22no—
264C22×Dic3—22no—
265C22×Dic3—44no—
266C22×Dic3C3×D411yescharacteristic
267C22×Dic3C3×D411yescharacteristic
268#237—44no—
269C2×D12C23×C311yescharacteristic
270C2×C4×D3—21no—
271C2×Dic6—21no—
272C3×D8—24no—
273C3×D8—24no—
274C3×D8—44no—
275C3×D8—64no—
276C2×C3×C8—22no—
277C2×C3×C8—32no—
278C2×C3×C8C22×D312yes—
279C2×C3×C8C23×C312yes—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—32no—
282C3×C4⋊C4—31no—
283C3×C4⋊C4—61no—
284C3×C4⋊C4—61no—
285C3×C4⋊C4C22×D311yescharacteristic
286C3×C4⋊C4C23×C311yescharacteristic
287C3×C22⋊C4—21no—
288C3×C22⋊C4—21no—
289C3×C22⋊C4—41no—
290C3×C22⋊C4—61no—
291C3×C22⋊C4—62no—
292C3×C22⋊C4—62no—
293C3×C22⋊C4—61no—
294C3×C22⋊C4—61no—
295C3×C42—31no—
296C3×C42—31no—
297C3×C42—31no—
298C3×C42—31no—
299#217—21no—
300#217—22no—
301#217—22no—
302#213—24no—
303(C2×D3)⋊C4—21no—
304(C2×D3)⋊C4—21no—
305C4⋊Dic3—21no—
306C4⋊Dic3C23×C312yes—
307C4⋊Dic3C23×C311yescharacteristic
308Dic3⋊C4—21no—
309C4×Dic3C3×D411yescharacteristic
310C4×Dic3C3×D411yescharacteristic
311C4×Dic3C23×C311yescharacteristic
312C4×Dic3C23×C311yescharacteristic
313C2×C3⋊C8C23×C312yes—
314C22×C32—21no—
315C22×C32—21no—
316C22×C32—24no—
317C22×C32—48no—
318C22×C32—42no—
319C22×C32—42no—
320C22×C32—41no—
321C22×C32—41no—
322C22×C32—41no—
323C22×C32C2×D812yes—
324C22×C32C22×D411yescharacteristic
325C2×C3×D3—41no—
326C2×C3×D3—41no—
327C2×C3×D3—41no—
328C32×C4—21no—
329C32×C4—41no—
330C32×C4C2×#4112yes—
331C3×Dic3—21no—
332C3×Dic3—21no—
333C3×Dic3—41no—
334C3×Dic3—42no—
335C3×Dic3C2×D812yes—
336C3×Dic3C2×D812yes—
337C2×#41—61no—
338C22×D4C2×C3×D311yescharacteristic
339C23×C4—61no—
340C2×D8—32no—
341C2×D8C2×C3×D312yes—
342C4⋊Q8—31no—
343#127—31no—
344#124—61no—
345#121—31no—
346#121—61no—
347#121C2×C3×D311yescharacteristic
348C4×D4—32no—
349C4×D4—32no—
350C4×D4—31no—
351C4×D4—31no—
352C4×D4—61no—
353C4×D4—61no—
354C4×D4—61no—
355C2×C4⋊C4—31no—
356C2×C22⋊C4—61no—
357C2×C42—31no—
358#107—32no—
359#107—32no—
360C4⋊C8—32no—
361#102—32no—
362#102—32no—
363#102—32no—
364#102C2×C3×D312yes—
365C22⋊C8—31no—
366C22⋊C8C2×C3×D311yescharacteristic
367C4×C8—32no—
368C23×C3—24no—
369C23×C3—24no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—42no—
376C23×C3—41no—
377C23×C3—44no—
378C23×C3—42no—
379C23×C3—42no—
380C23×C3—42no—
381C23×C3—42no—
382C23×C3—61no—
383C23×C3—82no—
384C23×C3—82no—
385C23×C3D3×D411yescharacteristic
386C23×C3C2×C3×D411yescharacteristic
387C22×D3—21no—
388C3×Q8—122no—
389C3×D4—24no—
390C3×D4—24no—
391C3×D4—22no—
392C3×D4—22no—
393C3×D4—22no—
394C3×D4—22no—
395C3×D4—24no—
396C3×D4—42no—
397C3×D4—42no—
398C3×D4—44no—
399C3×D4—42no—
400C3×D4—42no—
401C3×D4—62no—
402C3×D4—82no—
403C3×D4—122no—
404C3×D4—122no—
405C3×D4—122no—
406C3×D4#23714yescomplemented
407C3×D4C3×#4114yescomplemented
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—34no—
415C2×C3×C4—31no—
416C2×C3×C4—31no—
417C2×C3×C4—31no—
418C2×C3×C4—31no—
419C2×C3×C4—42no—
420C2×C3×C4—41no—
421C2×C3×C4—62no—
422C2×C3×C4—61no—
423C2×C3×C4—122no—
424C2×C3×C4—124no—
425C2×C3×C4—124no—
426C2×C3×C4—122no—
427C2×C3×C4—121no—
428C2×C3×C4—122no—
429C2×C3×C4D3×D411yescharacteristic
430C2×C3×C4C2×C3×D411yescharacteristic
431C2×C3×C4C23×D311yescharacteristic
432C2×C3×C4C24×C311yescharacteristic
433#67—42no—
434#67—42no—
435#67—42no—
436C2×Dic3—21no—
437C2×Dic3—22no—
438C2×Dic3—41no—
439C2×Dic3—42no—
440C2×Dic3—42no—
441C2×Dic3—44no—
442C2×Dic3—44no—
443C2×Dic3C3×D814yescomplemented
444C2×Dic3C2×C3×D411yescharacteristic
445C2×Dic3C2×C3×D411yescharacteristic
446C2×Dic3C2×C3×D411yescharacteristic
447C2×Dic3C2×C3×D411yescharacteristic
448D12—22no—
449C4×D3—42no—
450Dic6—42no—
451C3×C8—22no—
452C3×C8—22no—
453C3×C8—42no—
454C3×C8—62no—
455C3⋊C8—22no—
456C2×C32—22no—
457C2×C32—44no—
458C2×C32—81no—
459C2×C32#52511yescharacteristic
460C2×C32C22×D811yescharacteristic
461C2×C32#57511yescharacteristic
462C3×D3—81no—
463C24—21no—
464#41—124no—
465C2×Q8—61no—
466C2×D4—24no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—31no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—61no—
473C2×D4C22×C3×D311yescharacteristic
474C2×D4C22×C3×D312yes—
475C22×C4—31no—
476C22×C4—31no—
477C22×C4—61no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—61no—
481C22×C4—61no—
482C22×C4—124no—
483C22×C4C22×C3×D311yescharacteristic
484D8—24no—
485D8—64no—
486C2×C8—32no—
487C2×C8C22×C3×D312yes—
488C4⋊C4—32no—
489C4⋊C4—31no—
490C4⋊C4—61no—
491C4⋊C4—61no—
492C4⋊C4C22×C3×D311yescharacteristic
493C22⋊C4—21no—
494C22⋊C4—61no—
495C22⋊C4—62no—
496C22⋊C4—62no—
497C22⋊C4—61no—
498C22⋊C4—61no—
499C42—31no—
500C42—31no—
501C42—31no—
502C42—31no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—21no—
506C22×C3—21no—
507C22×C3—24no—
508C22×C3—24no—
509C22×C3—22no—
510C22×C3—21no—
511C22×C3—41no—
512C22×C3—41no—
513C22×C3—44no—
514C22×C3—48no—
515C22×C3—48no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—42no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—41no—
525C22×C3—41no—
526C22×C3—82no—
527C22×C3—82no—
528C22×C3—81no—
529C22×C3—81no—
530C22×C3—81no—
531C22×C3—88no—
532C22×C3—121no—
533C22×C3—121no—
534C22×C3—121no—
535C22×C3D3×D812yes—
536C22×C3C2×C3×D812yes—
537C22×C3C2×D3×D411yescharacteristic
538C22×C3C22×C3×D411yescharacteristic
539C2×D3—41no—
540C2×D3—41no—
541C2×D3—41no—
542C3×C4—21no—
543C3×C4—21no—
544C3×C4—22no—
545C3×C4—32no—
546C3×C4—32no—
547C3×C4—41no—
548C3×C4—41no—
549C3×C4—41no—
550C3×C4—61no—
551C3×C4—61no—
552C3×C4—81no—
553C3×C4—122no—
554C3×C4—121no—
555C3×C4C2×#23712yes—
556C3×C4C2×C3×#4112yes—
557Dic3—21no—
558Dic3—21no—
559Dic3—41no—
560Dic3—42no—
561Dic3C2×C3×D812yes—
562Dic3C2×C3×D812yes—
563C32#310011yescharacteristic, complemented, Sylow
564C23—24no—
565C23—22no—
566C23—21no—
567C23—42no—
568C23—42no—
569C23—61no—
570C23C3×D3×D411yescharacteristic
571Q8—122no—
572D4—24no—
573D4—22no—
574D4—22no—
575D4—42no—
576D4—62no—
577D4—122no—
578D4—122no—
579D4—122no—
580D4C3×#23714yescomplemented
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—34no—
584C2×C4—31no—
585C2×C4—31no—
586C2×C4—31no—
587C2×C4—31no—
588C2×C4—62no—
589C2×C4—61no—
590C2×C4—122no—
591C2×C4—124no—
592C2×C4—124no—
593C2×C4—122no—
594C2×C4—121no—
595C2×C4—122no—
596C2×C4C3×D3×D411yescharacteristic
597C2×C4C23×C3×D311yescharacteristic
598C8—22no—
599C8—62no—
600C2×C3—22no—
601C2×C3—22no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—42no—
606C2×C3—44no—
607C2×C3—44no—
608C2×C3—84no—
609C2×C3—81no—
610C2×C3—81no—
611C2×C3—161no—
612C2×C3—241no—
613C2×C3#558611yescharacteristic
614C2×C3C2×D3×D811yescharacteristic
615C2×C3#577311yescharacteristic
616C2×C3C3×#52511yescharacteristic
617C2×C3C22×C3×D811yescharacteristic
618C2×C3C3×#57511yescharacteristic
619D3—81no—
620C22—21no—
621C22—21no—
622C22—24no—
623C22—48no—
624C22—42no—
625C22—42no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—121no—
630C22—121no—
631C22—121no—
632C22C3×D3×D812yes—
633C22C2×C3×D3×D411yescharacteristic
634C4—21no—
635C4—32no—
636C4—32no—
637C4—41no—
638C4—61no—
639C4—61no—
640C4—122no—
641C4—121no—
642C4C2×C3×#23712yes—
643C3—21no—
644C3#7998811yescharacteristic, direct product factor
645C3C3×#310011yescharacteristic, complemented
646C2—22no—
647C2—44no—
648C2—81no—
649C2—241no—
650C2C3×#558611yescharacteristic
651C2C2×C3×D3×D811yescharacteristic
652C2C3×#577311yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#447C2
socleC22×C32C22×D4
hypercenterC3×#447D3
hypocenterC3C3×#3100
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#447

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×Dic3C2semidirect
2. C3×#5596C2semidirect
3. C32×#447C2semidirect
4. C3×#5217C2semidirect
5. C3×#5150C2semidirect
6. C3×Dic3×D8C2semidirect
7. C3×#5033C2semidirect
8. C3×#4759C2semidirect
9. C3×#4756C2semidirect
10. C3×#4736C2semidirect
11. C3×#4718C2semidirect
13. #79988C3direct (N × H)
20. C3×#940C22semidirect
26. C3×D4×Dic3C22semidirect
31. C3×#893C22semidirect
32. C3×#888C22semidirect
38. C3×#832C22semidirect
40. C3×#821C22semidirect
41. C3×#818C22semidirect
42. C3×Dic3⋊C8C22semidirect
43. C3×C8×Dic3C22semidirect
44. C3×#807C22semidirect
47. C2×D4×Dic3C2×C3semidirect
48. #5596C2×C3semidirect
55. C3×#447D3semidirect
56. C3×#447C2×C3semidirect
60. #5217C2×C3semidirect
61. #5150C2×C3semidirect
62. Dic3×D8C2×C3semidirect
63. #5033C2×C3semidirect
64. #4759C2×C3semidirect
65. #4756C2×C3semidirect
66. #4736C2×C3semidirect
67. #4718C2×C3semidirect
139. #940C22×C3semidirect
145. D4×Dic3C22×C3semidirect
150. #893C22×C3semidirect
151. #888C22×C3semidirect
169. #832C22×C3semidirect
171. #821C22×C3semidirect
172. #818C22×C3semidirect
173. Dic3⋊C8C22×C3semidirect
174. C8×Dic3C22×C3semidirect
175. #807C22×C3semidirect
187. C32×D4#41semidirect
202. C2×C3×Dic3D8semidirect
219. #447C3×D3semidirect
406. C3×D4#237semidirect
407. C3×D4C3×#41semidirect
443. C2×Dic3C3×D8semidirect
563. C32#3100semidirect
580. D4C3×#237semidirect
644. C3#79988direct (N × H)
645. C3C3×#3100semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×Dic32
C3×#55962
C32×#4472
C3×#52172
C3×#51502
C3×Dic3×D82
C3×#50332
C3×#47592
C3×#47562
C3×#47362
C3×#47182
C3×#31003
#799883