Finite Group Databasebeta

← C3×D3×#474 #11868226

Subgroups — C3×D3×#474 #11868226

Order 1152.

1014 conjugacy classes of subgroups.

The subgroup lattice has 633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D3×C4⋊Q8C211yesmaximal, characteristic, complemented
2C3×C4×D3×D4C211yesmaximal, characteristic
3C32×#474C211yesmaximal, characteristic, complemented
4C3×#5087C211yesmaximal, characteristic, complemented
5C3×#5007C211yesmaximal, characteristic, complemented
6C3×#4890C212yesmaximal, complemented
7C3×D3×#107C212yesmaximal, complemented
8C3×#4846C211yesmaximal, characteristic, complemented
9C3×D3×C4⋊C8C211yesmaximal, characteristic, complemented
10C3×D3×#102C212yesmaximal
11C3×#4759C212yesmaximal, complemented
12C2×C3×#474—31nomaximal
13D3×#474C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8—21no—
15C2×C3×D3×D4C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C32×C4⋊Q8C2211yescharacteristic, complemented
18C32×C4×D4C2211yescharacteristic
19C3×#944—21no—
20C3×D4×Dic3C2211yescharacteristic
21C3×C4×#67—21no—
22C2×C3×D3×C8C2212yes—
23C3×#893C2211yescharacteristic
24C3×D3×C4⋊C4—21no—
25C3×D3×C4⋊C4C2211yescharacteristic
26C3×D3×C4⋊C4C2212yes—
27C3×#888—21no—
28C3×#888C2212yescomplemented
29C3×#67⋊C4—21no—
30C3×D3×C22⋊C4—21no—
31C3×C4×D12C2211yescharacteristic
32C3×C42×D3C2211yescharacteristic
33C3×#869C2211yescharacteristic, complemented
34C32×#107C2212yescomplemented
35C32×C4⋊C8C2211yescharacteristic, complemented
36C32×#102C2212yes—
37C3×#832C2212yes—
38C3×#821C2212yes—
39C3×#818C2212yescomplemented
40C3×Dic3⋊C8C2212yescomplemented
41C3×#809C2212yes—
42C3×#807C2212yescomplemented
43C3×#807C2212yescomplemented
44C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
45C2×C3×C4⋊Q8—31no—
46C2×C3×C4×D4—31no—
47D3×C4⋊Q8C2×C311yescharacteristic, complemented
48C4×D3×D4C2×C311yescharacteristic
49C3×#474—21no—
50C3×#474—31no—
51C3×#474—31no—
52C3×#474—32no—
53C3×#474—31no—
54C3×#474—32no—
55C3×#474D311yescharacteristic, direct product factor
56C3×#474C2×C311yescharacteristic, complemented
57C2×C3×#107—32no—
58C2×C3×C4⋊C8—31no—
59C2×C3×#102—32no—
60#5087C2×C311yescharacteristic, complemented
61#5007C2×C311yescharacteristic, complemented
62#4890C2×C312yescomplemented
63D3×#107C2×C312yescomplemented
64#4846C2×C311yescharacteristic, complemented
65D3×C4⋊C8C2×C311yescharacteristic, complemented
66D3×#102C2×C312yes—
67#4759C2×C312yescomplemented
68C23×C3×D3—21no—
69C2×C32×Q8—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C2×C3×#67—21no—
73C22×C3×Dic3—21no—
74C3×D3×Q8—44no—
75C3×D3×D4—22no—
76C3×D3×D4Q814yescomplemented
77C2×C3×D12C2311yescharacteristic
78C2×C3×C4×D3—21no—
79C2×C3×C4×D3—22no—
80C2×C3×C4×D3—21no—
81C2×C3×C4×D3—21no—
82C2×C3×C4×D3—44no—
83C2×C3×C4×D3D411yescharacteristic
84C2×C3×C4×D3D411yescharacteristic
85C2×C3×C4×D3C2311yescharacteristic
86C2×C3×Dic6—21no—
87C2×C3×Dic6—22no—
88C2×C32×C8C2312yes—
89C32×C4⋊C4—21no—
90C32×C4⋊C4C2312yes—
91C32×C4⋊C4C2311yescharacteristic
92C32×C22⋊C4—21no—
93C32×C42C2311yescharacteristic
94C3×#217—21no—
95C3×(C2×D3)⋊C4—21no—
96C3×(C2×D3)⋊C4—21no—
97C3×C4⋊Dic3—21no—
98C3×C4⋊Dic3C2312yes—
99C3×C4⋊Dic3C2311yescharacteristic
100C3×Dic3⋊C4—21no—
101C3×Dic3⋊C4—22no—
102C3×Dic3⋊C4—22no—
103C3×C4×Dic3D411yescharacteristic
104C3×C4×Dic3D411yescharacteristic
105C3×C4×Dic3C2311yescharacteristic
106C2×C3×C3⋊C8C2312yes—
107C3×D3×C8—24no—
108C2×#474—31noSylow
109C22×C3×Q8—61no—
110C22×C3×D4—31no—
111C23×C3×C4—61no—
112C2×D3×Q8—21no—
113C2×D3×D4C22×C311yescharacteristic
114C22×C4×D3—21no—
115C22×C3×C8—32no—
116C3×C4⋊Q8—21no—
117C3×C4⋊Q8—32no—
118C3×C4⋊Q8—31no—
119C3×C4⋊Q8—61no—
120C3×C4⋊Q8—61no—
121C3×C4⋊Q8C2×D311yescharacteristic, complemented
122C3×C4⋊Q8C22×C311yescharacteristic, complemented
123C3×C4×D4—21no—
124C3×C4×D4—31no—
125C3×C4×D4—31no—
126C3×C4×D4—31no—
127C3×C4×D4—61no—
128C3×C4×D4—61no—
129C3×C4×D4C2×D311yescharacteristic
130C3×C4×D4C22×C311yescharacteristic
131C2×C3×C4⋊C4—32no—
132C2×C3×C4⋊C4—31no—
133C2×C3×C4⋊C4—61no—
134C2×C3×C22⋊C4—61no—
135C2×C3×C42—31no—
136#944—21no—
137D4×Dic3C22×C311yescharacteristic
138C4×#67—21no—
139C2×D3×C8C22×C312yes—
140#893C22×C311yescharacteristic
141D3×C4⋊C4—21no—
142D3×C4⋊C4C22×C311yescharacteristic
143D3×C4⋊C4C22×C312yes—
144#888—21no—
145#888C22×C312yescomplemented
146#67⋊C4—21no—
147D3×C22⋊C4—21no—
148C4×D12C22×C311yescharacteristic
149C42×D3C22×C311yescharacteristic
150#869C22×C311yescharacteristic, complemented
151C3×#107—22no—
152C3×#107—32no—
153C3×#107—32no—
154C3×#107—32no—
155C3×#107C2×D312yescomplemented
156C3×#107C22×C312yescomplemented
157C3×C4⋊C8—21no—
158C3×C4⋊C8—32no—
159C3×C4⋊C8—31no—
160C3×C4⋊C8C2×D311yescharacteristic, complemented
161C3×C4⋊C8C22×C311yescharacteristic, complemented
162C3×#102—22no—
163C3×#102—32no—
164C3×#102—32no—
165C3×#102—32no—
166C3×#102C2×D312yes—
167C3×#102C22×C312yes—
168#832C22×C312yes—
169#821C22×C312yes—
170#818C22×C312yescomplemented
171Dic3⋊C8C22×C312yescomplemented
172#809C22×C312yes—
173#807C22×C312yescomplemented
174#807C22×C312yescomplemented
175C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
176C23×C32—21no—
177C22×C3×D3—21no—
178C22×C3×D3—24no—
179C22×C3×D3—42no—
180C22×C3×D3—42no—
181C22×C3×D3C2×D411yescharacteristic
182C32×Q8—42no—
183C32×D4—21no—
184C32×D4C2×Q812yescomplemented
185C2×C32×C4—22no—
186C2×C32×C4—21no—
187C2×C32×C4—42no—
188C2×C32×C4C2×D411yescharacteristic
189C2×C32×C4C2×D411yescharacteristic
190C2×C32×C4C2411yescharacteristic
191C3×#67—24no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3—42no—
195C2×C3×Dic3C2×D411yescharacteristic
196C2×C3×Dic3C2×D411yescharacteristic
197C2×C3×Dic3C2×D411yescharacteristic
198C3×D12—21no—
199C3×D12C2×Q812yescomplemented
200C3×C4×D3—22no—
201C3×C4×D3—42no—
202C3×C4×D3—44no—
203C3×C4×D3—42no—
204C3×C4×D3—42no—
205C3×C4×D3D814yes—
206C3×C4×D3C2×Q812yes—
207C3×C4×D3#4112yes—
208C3×Dic6—42no—
209C3×Dic6—44no—
210C32×C8—22no—
211C3×C3⋊C8—22no—
212C2×C4⋊Q8—31no—
213C2×C4×D4—31no—
214#474—31no—
215#474—31no—
216#474—32no—
217#474—31no—
218#474—32no—
219#474C3×D311yescharacteristic, direct product factor
220C2×#107—32no—
221C2×C4⋊C8—31no—
222C2×#102—32no—
223C24×C3—61no—
224C23×D3—21no—
225C2×C3×Q8—21no—
226C2×C3×Q8—21no—
227C2×C3×Q8—41no—
228C2×C3×Q8—62no—
229C2×C3×Q8—61no—
230C2×C3×Q8—124no—
231C2×C3×D4—21no—
232C2×C3×D4—34no—
233C2×C3×D4—31no—
234C2×C3×D4—62no—
235C2×C3×D4—61no—
236C2×C3×D4C22×D311yescharacteristic
237C2×C3×D4C23×C311yescharacteristic
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—31no—
241C22×C3×C4—31no—
242C22×C3×C4—31no—
243C22×C3×C4—41no—
244C22×C3×C4—61no—
245C22×C3×C4—61no—
246C22×C3×C4—62no—
247C22×C3×C4—61no—
248C22×C3×C4—61no—
249C22×C3×C4—124no—
250C2×#67—21no—
251C22×Dic3—21no—
252D3×Q8—44no—
253D3×D4—22no—
254D3×D4C3×Q814yescomplemented
255C2×D12C23×C311yescharacteristic
256C2×C4×D3—21no—
257C2×C4×D3—22no—
258C2×C4×D3—21no—
259C2×C4×D3—21no—
260C2×C4×D3—44no—
261C2×C4×D3C3×D411yescharacteristic
262C2×C4×D3C3×D411yescharacteristic
263C2×C4×D3C23×C311yescharacteristic
264C2×Dic6—21no—
265C2×Dic6—22no—
266C2×C3×C8—22no—
267C2×C3×C8—32no—
268C2×C3×C8—64no—
269C2×C3×C8C22×D312yes—
270C2×C3×C8C23×C312yes—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—22no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—32no—
276C3×C4⋊C4—31no—
277C3×C4⋊C4—41no—
278C3×C4⋊C4—61no—
279C3×C4⋊C4—62no—
280C3×C4⋊C4—62no—
281C3×C4⋊C4—61no—
282C3×C4⋊C4C22×D312yes—
283C3×C4⋊C4C22×D311yescharacteristic
284C3×C4⋊C4C23×C311yescharacteristic
285C3×C4⋊C4C23×C312yes—
286C3×C22⋊C4—21no—
287C3×C22⋊C4—21no—
288C3×C22⋊C4—41no—
289C3×C22⋊C4—61no—
290C3×C22⋊C4—61no—
291C3×C22⋊C4—61no—
292C3×C42—21no—
293C3×C42—31no—
294C3×C42—31no—
295C3×C42—31no—
296C3×C42C22×D311yescharacteristic
297C3×C42C23×C311yescharacteristic
298#217—21no—
299(C2×D3)⋊C4—21no—
300(C2×D3)⋊C4—21no—
301C4⋊Dic3—21no—
302C4⋊Dic3C23×C311yescharacteristic
303C4⋊Dic3C23×C312yes—
304Dic3⋊C4—21no—
305Dic3⋊C4—22no—
306Dic3⋊C4—22no—
307C4×Dic3C3×D411yescharacteristic
308C4×Dic3C3×D411yescharacteristic
309C4×Dic3C23×C311yescharacteristic
310C2×C3⋊C8C23×C312yes—
311D3×C8—24no—
312C22×C32—22no—
313C22×C32—41no—
314C22×C32—41no—
315C22×C32C22×D411yescharacteristic
316C2×C3×D3—22no—
317C2×C3×D3—41no—
318C2×C3×D3—41no—
319C2×C3×D3—48no—
320C2×C3×D3C22⋊Q812yes—
321C2×C3×D3C2×D812yes—
322C2×C3×D3#13712yes—
323C32×C4—21no—
324C32×C4—42no—
325C32×C4—41no—
326C32×C4C2×D812yes—
327C32×C4C22×Q811yescharacteristic
328C32×C4C2×#4111yescharacteristic
329C3×Dic3—21no—
330C3×Dic3—42no—
331C3×Dic3—41no—
332C3×Dic3C22⋊Q812yes—
333C3×Dic3C2×D812yes—
334C22×Q8—61no—
335C22×D4—31no—
336C23×C4—61no—
337C22×C8—32no—
338C4⋊Q8—32no—
339C4⋊Q8—31no—
340C4⋊Q8—61no—
341C4⋊Q8—61no—
342C4⋊Q8C2×C3×D311yescharacteristic, complemented
343C4×D4—31no—
344C4×D4—31no—
345C4×D4—31no—
346C4×D4—61no—
347C4×D4—61no—
348C4×D4C2×C3×D311yescharacteristic
349C2×C4⋊C4—31no—
350C2×C4⋊C4—32no—
351C2×C4⋊C4—61no—
352C2×C22⋊C4—61no—
353C2×C42—31no—
354#107—32no—
355#107—32no—
356#107—32no—
357#107C2×C3×D312yescomplemented
358C4⋊C8—32no—
359C4⋊C8—31no—
360C4⋊C8C2×C3×D311yescharacteristic, complemented
361#102—32no—
362#102—32no—
363#102—32no—
364#102C2×C3×D312yes—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—31no—
368C23×C3—41no—
369C23×C3—64no—
370C23×C3—61no—
371C23×C3—122no—
372C23×C3—122no—
373C22×D3—21no—
374C22×D3—24no—
375C22×D3—42no—
376C22×D3—42no—
377C22×D3C2×C3×D411yescharacteristic
378C3×Q8—42no—
379C3×Q8—42no—
380C3×Q8—82no—
381C3×Q8—124no—
382C3×Q8—122no—
383C3×D4—21no—
384C3×D4—21no—
385C3×D4—22no—
386C3×D4—32no—
387C3×D4—41no—
388C3×D4—64no—
389C3×D4—61no—
390C3×D4D3×Q812yescomplemented
391C3×D4C2×C3×Q812yescomplemented
392C2×C3×C4—21no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—31no—
400C2×C3×C4—31no—
401C2×C3×C4—34no—
402C2×C3×C4—32no—
403C2×C3×C4—32no—
404C2×C3×C4—31no—
405C2×C3×C4—41no—
406C2×C3×C4—42no—
407C2×C3×C4—42no—
408C2×C3×C4—42no—
409C2×C3×C4—62no—
410C2×C3×C4—61no—
411C2×C3×C4—62no—
412C2×C3×C4—82no—
413C2×C3×C4—122no—
414C2×C3×C4—122no—
415C2×C3×C4—122no—
416C2×C3×C4—124no—
417C2×C3×C4—122no—
418C2×C3×C4D3×D411yescharacteristic
419C2×C3×C4D3×D411yescharacteristic
420C2×C3×C4C2×C3×D411yescharacteristic
421C2×C3×C4C2×C3×D411yescharacteristic
422C2×C3×C4C23×D311yescharacteristic
423C2×C3×C4C24×C311yescharacteristic
424#67—24no—
425C2×Dic3—22no—
426C2×Dic3—21no—
427C2×Dic3—42no—
428C2×Dic3C2×C3×D411yescharacteristic
429C2×Dic3C2×C3×D411yescharacteristic
430C2×Dic3C2×C3×D411yescharacteristic
431D12—21no—
432D12C2×C3×Q812yescomplemented
433C4×D3—22no—
434C4×D3—42no—
435C4×D3—44no—
436C4×D3—42no—
437C4×D3—42no—
438C4×D3C3×D814yes—
439C4×D3C2×C3×Q812yes—
440C4×D3C3×#4112yes—
441Dic6—42no—
442Dic6—44no—
443C3×C8—22no—
444C3×C8—22no—
445C3×C8—42no—
446C3×C8—62no—
447C3⋊C8—22no—
448C2×C32—42no—
449C2×C32C2×C22⋊Q811yescharacteristic
450C2×C32C22×D811yescharacteristic
451C2×C32C2×#13711yescharacteristic
452C3×D3—42no—
453C3×D3#47414yesdirect product factor
454C24—61no—
455C2×Q8—21no—
456C2×Q8—62no—
457C2×Q8—61no—
458C2×Q8—124no—
459C2×D4—34no—
460C2×D4—31no—
461C2×D4—62no—
462C2×D4—61no—
463C2×D4C22×C3×D311yescharacteristic
464C22×C4—21no—
465C22×C4—31no—
466C22×C4—31no—
467C22×C4—31no—
468C22×C4—61no—
469C22×C4—61no—
470C22×C4—62no—
471C22×C4—61no—
472C22×C4—61no—
473C22×C4—124no—
474C2×C8—32no—
475C2×C8—64no—
476C2×C8C22×C3×D312yes—
477C4⋊C4—21no—
478C4⋊C4—32no—
479C4⋊C4—31no—
480C4⋊C4—61no—
481C4⋊C4—62no—
482C4⋊C4—62no—
483C4⋊C4—61no—
484C4⋊C4C22×C3×D312yes—
485C4⋊C4C22×C3×D311yescharacteristic
486C22⋊C4—21no—
487C22⋊C4—61no—
488C22⋊C4—61no—
489C22⋊C4—61no—
490C42—31no—
491C42—31no—
492C42—31no—
493C42C22×C3×D311yescharacteristic
494C22×C3—22no—
495C22×C3—22no—
496C22×C3—21no—
497C22×C3—32no—
498C22×C3—32no—
499C22×C3—32no—
500C22×C3—42no—
501C22×C3—41no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—62no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—128no—
509C22×C3—121no—
510C22×C3—121no—
511C22×C3C2×D3×D411yescharacteristic
512C22×C3C22×C3×D411yescharacteristic
513C2×D3—22no—
514C2×D3—41no—
515C2×D3—41no—
516C2×D3—48no—
517C2×D3C3×C22⋊Q812yes—
518C2×D3C2×C3×D812yes—
519C2×D3C3×#13712yes—
520C3×C4—21no—
521C3×C4—21no—
522C3×C4—22no—
523C3×C4—21no—
524C3×C4—21no—
525C3×C4—32no—
526C3×C4—32no—
527C3×C4—41no—
528C3×C4—42no—
529C3×C4—41no—
530C3×C4—41no—
531C3×C4—42no—
532C3×C4—61no—
533C3×C4—81no—
534C3×C4—82no—
535C3×C4—121no—
536C3×C4—122no—
537C3×C4D3×D812yes—
538C3×C4C2×C3×D812yes—
539C3×C4C2×D3×Q811yescharacteristic
540C3×C4D3×#4111yescharacteristic
541C3×C4C22×C3×Q811yescharacteristic
542C3×C4C2×C3×#4111yescharacteristic
543Dic3—21no—
544Dic3—42no—
545Dic3—41no—
546Dic3C3×C22⋊Q812yes—
547Dic3C2×C3×D812yes—
548C32C2×#47411yescharacteristic, complemented, Sylow
549C23—21no—
550C23—31no—
551C23—64no—
552C23—61no—
553C23—122no—
554C23—122no—
555Q8—42no—
556Q8—124no—
557Q8—122no—
558D4—21no—
559D4—32no—
560D4—64no—
561D4—61no—
562D4C3×D3×Q812yescomplemented
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—31no—
566C2×C4—31no—
567C2×C4—34no—
568C2×C4—32no—
569C2×C4—32no—
570C2×C4—31no—
571C2×C4—42no—
572C2×C4—62no—
573C2×C4—61no—
574C2×C4—62no—
575C2×C4—122no—
576C2×C4—122no—
577C2×C4—122no—
578C2×C4—124no—
579C2×C4—122no—
580C2×C4C3×D3×D411yescharacteristic
581C2×C4C3×D3×D411yescharacteristic
582C2×C4C23×C3×D311yescharacteristic
583C8—22no—
584C8—62no—
585C2×C3—21no—
586C2×C3—21no—
587C2×C3—21no—
588C2×C3—34no—
589C2×C3—42no—
590C2×C3—42no—
591C2×C3—82no—
592C2×C3—122no—
593C2×C3D3×C22⋊Q811yescharacteristic
594C2×C3C2×D3×D811yescharacteristic
595C2×C3D3×#13711yescharacteristic
596C2×C3C2×C3×C22⋊Q811yescharacteristic
597C2×C3C22×C3×D811yescharacteristic
598C2×C3C2×C3×#13711yescharacteristic
599D3—42no—
600D3C3×#47414yesdirect product factor
601C22—22no—
602C22—32no—
603C22—32no—
604C22—32no—
605C22—41no—
606C22—41no—
607C22—62no—
608C22—128no—
609C22—121no—
610C22—121no—
611C22C2×C3×D3×D411yescharacteristic
612C4—21no—
613C4—32no—
614C4—32no—
615C4—41no—
616C4—42no—
617C4—61no—
618C4—121no—
619C4—122no—
620C4C3×D3×D812yes—
621C4C2×C3×D3×Q811yescharacteristic
622C4C3×D3×#4111yescharacteristic
623C3—21no—
624C3D3×#47411yescharacteristic, direct product factor
625C3C2×C3×#47411yescharacteristic, complemented
626C2—34no—
627C2—42no—
628C2—122no—
629C2C3×D3×C22⋊Q811yescharacteristic
630C2C2×C3×D3×D811yescharacteristic
631C2C3×D3×#13711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#474C2
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenterC3×#474D3
hypocenterC3C2×C3×#474
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#474

Complements

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

NH ≅ G/Ntype
1. C3×D3×C4⋊Q8C2semidirect
3. C32×#474C2semidirect
4. C3×#5087C2semidirect
5. C3×#5007C2semidirect
6. C3×#4890C2semidirect
7. C3×D3×#107C2semidirect
8. C3×#4846C2semidirect
9. C3×D3×C4⋊C8C2semidirect
11. C3×#4759C2semidirect
13. D3×#474C3direct (N × H)
17. C32×C4⋊Q8C22semidirect
28. C3×#888C22semidirect
33. C3×#869C22semidirect
34. C32×#107C22semidirect
35. C32×C4⋊C8C22semidirect
39. C3×#818C22semidirect
40. C3×Dic3⋊C8C22semidirect
42. C3×#807C22semidirect
43. C3×#807C22semidirect
44. C3×C4⋊(C3⋊C8)C22semidirect
47. D3×C4⋊Q8C2×C3semidirect
55. C3×#474D3direct (N × H)
56. C3×#474C2×C3semidirect
60. #5087C2×C3semidirect
61. #5007C2×C3semidirect
62. #4890C2×C3semidirect
63. D3×#107C2×C3semidirect
64. #4846C2×C3semidirect
65. D3×C4⋊C8C2×C3semidirect
67. #4759C2×C3semidirect
76. C3×D3×D4Q8semidirect
121. C3×C4⋊Q8C2×D3semidirect
122. C3×C4⋊Q8C22×C3semidirect
145. #888C22×C3semidirect
150. #869C22×C3semidirect
155. C3×#107C2×D3semidirect
156. C3×#107C22×C3semidirect
160. C3×C4⋊C8C2×D3semidirect
161. C3×C4⋊C8C22×C3semidirect
170. #818C22×C3semidirect
171. Dic3⋊C8C22×C3semidirect
173. #807C22×C3semidirect
174. #807C22×C3semidirect
175. C4⋊(C3⋊C8)C22×C3semidirect
184. C32×D4C2×Q8semidirect
199. C3×D12C2×Q8semidirect
219. #474C3×D3direct (N × H)
254. D3×D4C3×Q8semidirect
342. C4⋊Q8C2×C3×D3semidirect
357. #107C2×C3×D3semidirect
360. C4⋊C8C2×C3×D3semidirect
390. C3×D4D3×Q8semidirect
391. C3×D4C2×C3×Q8semidirect
432. D12C2×C3×Q8semidirect
453. C3×D3#474direct (N × H)
548. C32C2×#474semidirect
562. D4C3×D3×Q8semidirect
600. D3C3×#474direct (N × H)
624. C3D3×#474direct (N × H)
625. C3C2×C3×#474semidirect

Maximal subgroups

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

subgroupindex
C3×D3×C4⋊Q82
C3×C4×D3×D42
C32×#4742
C3×#50872
C3×#50072
C3×#48902
C3×D3×#1072
C3×#48462
C3×D3×C4⋊C82
C3×D3×#1022
C3×#47592
C2×C3×#4743
D3×#4743