Finite Group Databasebeta

← D3×#5110 #11857394

Subgroups — D3×#5110 #11857394

Order 1152.

1663 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#235C211yesmaximal, characteristic
2C22×C3×D3×C8C211yesmaximal, characteristic, complemented
3C2×D3×#208C211yesmaximal, characteristic, complemented
4#10592809C211yesmaximal, characteristic, complemented
5C3×#5110C211yesmaximal, characteristic, complemented
6#10591073C211yesmaximal, characteristic, complemented
7#10591070C211yesmaximal, characteristic, complemented
8#10590953C214yesmaximal, complemented
9D3×(C2×D3)⋊C8C214yesmaximal, complemented
10C2×#5110—31nomaximal
11D3×#408—31nomaximal
12C2×#3828C2211yescharacteristic
13C2×C3×#235C2211yescharacteristic
14C22×C3×C4×D3C2211yescharacteristic
15C2×D3×#67C412yes—
16C2×#3804C412yes—
17D3×#235—24no—
18D3×#235—24no—
19C2×D3×D12C411yescharacteristic
20C2×C4×D32C2212yes—
21C2×#3799C411yescharacteristic
22C2×#3798C2212yes—
23C2×#3795C411yescharacteristic
24C2×D3×Dic6C411yescharacteristic
25C22×C32×C8C2211yescharacteristic, complemented
26C2×#3748C2211yescharacteristic, complemented
27C2×C3×#208C2211yescharacteristic, complemented
28C22×C3×C3⋊C8C2211yescharacteristic, complemented
29C2×C3×D3×C8—24no—
30C2×C3×D3×C8C2212yes—
31C2×C3×D3×C8C2212yescomplemented
32C2×#3711C2212yescomplemented
33D3×#208—24no—
34C2×D3×C3⋊C8C2212yes—
35#63647C2214yescomplemented
36C3×(C2×D3)⋊C8C2214yescomplemented
37#63557C2214yescomplemented
38(C2×D3)⋊(C3⋊C8)C2214yescomplemented
39C2×D3×#41—31no—
40C22×#235—31no—
41C23×C3×C8—31no—
42C22×#208—31no—
43C2×D3×M16—31no—
44C22×D3×C8D311yescharacteristic, complemented
45C3×#408—31no—
46#5234—31no—
47#5129—31no—
48#5110—31no—
49#5110—31no—
50#5110—31no—
51#5110—31no—
52#5110—34no—
53#5110—61no—
54#5110D311yescharacteristic, direct product factor
55C2×(C2×D3)⋊C8—34no—
56#4727—34no—
57D3×C22⋊C8—34no—
58C23×C3×D3C2×C411yescharacteristic
59C22×D32C2×C412yes—
60C22×C32×C4C2311yescharacteristic
61C2×#638C2×C412yes—
62#3828—22no—
63#3828—22no—
64C2×C4⋊(C3⋊D3)C2×C411yescharacteristic
65C2×C4×C3⋊D3C2312yes—
66C2×#634C2×C411yescharacteristic
67C2×C3×#67C2×C412yes—
68C22×C3×Dic3C2×C411yescharacteristic
69C3×#235—22no—
70C3×#235—22no—
71C2×C3×D12C2×C411yescharacteristic
72C2×C3×C4×D3C2×C411yescharacteristic
73C2×C3×C4×D3C2×C411yescharacteristic
74C2×C3×C4×D3D414yes—
75C2×C3×C4×D3D414yes—
76C2×C3×C4×D3C2312yes—
77C2×C3×C4×D3C2311yescharacteristic
78C2×C3×C4×D3C2311yescharacteristic
79C2×C3×Dic6C2×C411yescharacteristic
80D3×#67—28no—
81C2×#627C2×C412yes—
82C2×#626C2×C412yes—
83C2×#626C2×C412yes—
84C2×#625C2×C412yes—
85C2×#624C2×C412yes—
86#3804—28no—
87C2×D3×Dic3C2×C412yes—
88C2×D3×Dic3C2×C412yes—
89D3×D12—24no—
90C4×D32—24no—
91C4×D32—24no—
92#3799—24no—
93#3798—24no—
94#3798—24no—
95#3795—24no—
96D3×Dic6—24no—
97C2×C32×C8—22no—
98C2×C32×C8C2312yes—
99#3748—22no—
100C2×C3⋊(C3⋊C8)C2312yes—
101C3×#208—22no—
102C2×C3×C3⋊C8—22no—
103C2×C3×C3⋊C8C2312yes—
104C2×C3×C3⋊C8C2312yes—
105C3×D3×C8—24no—
106C3×D3×C8—24no—
107#3711—24no—
108D3×C3⋊C8—24no—
109C2×#408—91noSylow
110C2×C3×#41—31no—
111C23×C3×C4—31no—
112C22×#67—32no—
113D3×#41—64no—
114D3×#41—64no—
115C2×#239—31no—
116C2×D3×Q8—31no—
117C2×#237—32no—
118C2×#237—31no—
119C2×D3×D4—32no—
120C2×D3×D4—31no—
121C2×#235—31no—
122C2×#235—31no—
123C2×#235—32no—
124C2×#235—31no—
125C2×#235—32no—
126C2×#235—32no—
127C2×#235—31no—
128C2×#235—61no—
129C2×#235—64no—
130C2×#235—64no—
131C2×#235C2×D311yescharacteristic
132C22×D12—31no—
133C22×C4×D3—32no—
134C22×C4×D3—32no—
135C22×C4×D3C2×D311yescharacteristic
136C22×Dic6—31no—
137C2×C3×M16—31no—
138C22×C3×C8—21no—
139C22×C3×C8—31no—
140C22×C3×C8—32no—
141C22×C3×C8—32no—
142C22×C3×C8—64no—
143C22×C3×C8C2×D311yescharacteristic, complemented
144C22×C3×C8C2×D311yescharacteristic, complemented
145C2×#208—31no—
146C2×#208—31no—
147C2×#208—32no—
148C2×#208—61no—
149C2×#208—64no—
150C2×#208C2×D311yescharacteristic, complemented
151C22×C3⋊C8—32no—
152C22×C3⋊C8C2×D311yescharacteristic, complemented
153D3×M16—64no—
154C2×ΓL(1,𝔽25)—32no—
155C2×D3×C8—24no—
156C2×D3×C8—32no—
157C2×D3×C8C2×D312yes—
158C2×D3×C8C2×D312yescomplemented
159C3×C22⋊C8—34no—
160#830—34no—
161(C2×D3)⋊C8—34no—
162(C2×D3)⋊C8—34no—
163(C2×D3)⋊C8—34no—
164(C2×D3)⋊C8—34no—
165(C2×D3)⋊C8—34no—
166(C2×D3)⋊C8—64no—
167(C2×D3)⋊C8C2×D314yescomplemented
168C23×C32C22×C411yescharacteristic
169C22×C3⋊D3C22×C412yes—
170C22×C3×D3—24no—
171C22×C3×D3C22⋊C414yes—
172C22×C3×D3C22×C412yes—
173C22×C3×D3C22×C411yescharacteristic
174C22×C3×D3C22×C411yescharacteristic
175C2×D32—24no—
176C2×D32—28no—
177C2×C32×C4C22×C411yescharacteristic
178C2×C32×C4C2×D412yes—
179C2×C32×C4C2×D412yes—
180C2×C32×C4C2411yescharacteristic
181#638—24no—
182C2×C3⋊Dic3C22×C412yes—
183C4⋊(C3⋊D3)—22no—
184C4×C3⋊D3—22no—
185C4×C3⋊D3—22no—
186#634—22no—
187C3×#67—24no—
188C2×C3×Dic3C22⋊C414yes—
189C2×C3×Dic3C22×C412yes—
190C2×C3×Dic3C22×C411yescharacteristic
191C2×C3×Dic3C22×C411yescharacteristic
192C3×D12—22no—
193C3×C4×D3—22no—
194C3×C4×D3—22no—
195C3×C4×D3C22⋊C414yes—
196C3×C4×D3C22⋊C414yes—
197C3×C4×D3C2×D412yes—
198C3×C4×D3C2×D412yes—
199C3×C4×D3C2×D412yes—
200C3×C4×D3C2×D412yes—
201C3×Dic6—22no—
202#627—24no—
203#626—24no—
204#626—24no—
205#625—24no—
206#624—24no—
207D3×Dic3—24no—
208D3×Dic3—24no—
209C32×C8—22no—
210C3⋊(C3⋊C8)—22no—
211C3×C3⋊C8—22no—
212C3×C3⋊C8—22no—
213C22×#41—91no—
214C22×M16—91no—
215C23×C8—31no—
216#408—31no—
217#408—94no—
218#408—91no—
219#408—91no—
220#408—91no—
221C2×C22⋊C8—94no—
222C24×C3—31no—
223C23×D3—32no—
224C23×D3—32no—
225C23×D3C4×D311yescharacteristic
226C3×#41—62no—
227C3×#41—62no—
228C2×C3×Q8—31no—
229C2×C3×D4—32no—
230C2×C3×D4—31no—
231C22×C3×C4—21no—
232C22×C3×C4—31no—
233C22×C3×C4—31no—
234C22×C3×C4—31no—
235C22×C3×C4—34no—
236C22×C3×C4—34no—
237C22×C3×C4—31no—
238C22×C3×C4—31no—
239C22×C3×C4—32no—
240C22×C3×C4C22×D311yescharacteristic
241C22×C3×C4C22×D311yescharacteristic
242C2×#67—32no—
243C2×#67—32no—
244C2×#67—32no—
245C2×#67—32no—
246C2×#67—32no—
247C2×#67—32no—
248C2×#67—62no—
249C2×#67—68no—
250C2×#67C4×D312yes—
251C22×Dic3—32no—
252C22×Dic3—32no—
253C22×Dic3C4×D311yescharacteristic
254#239—64no—
255D3×Q8—64no—
256#237—68no—
257#237—64no—
258D3×D4—68no—
259D3×D4—64no—
260#235—22no—
261#235—22no—
262#235—64no—
263#235—64no—
264#235—64no—
265#235—64no—
266#235—68no—
267#235—62no—
268#235—62no—
269#235—62no—
270#235—62no—
271#235—64no—
272#235—64no—
273#235—122no—
274#235—122no—
275C2×D12—32no—
276C2×D12—32no—
277C2×D12—31no—
278C2×D12—31no—
279C2×D12—61no—
280C2×D12—64no—
281C2×D12C4×D311yescharacteristic
282C2×C4×D3—32no—
283C2×C4×D3—32no—
284C2×C4×D3—32no—
285C2×C4×D3—32no—
286C2×C4×D3—32no—
287C2×C4×D3—32no—
288C2×C4×D3—62no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—64no—
292C2×C4×D3—64no—
293C2×C4×D3C4×D311yescharacteristic
294C2×C4×D3C4×D311yescharacteristic
295C2×C4×D3D1214yes—
296C2×C4×D3#6714yes—
297C2×C4×D3C22×D312yes—
298C2×C4×D3C22×D311yescharacteristic
299C2×C4×D3C22×D311yescharacteristic
300C2×Dic6—31no—
301C2×Dic6—31no—
302C2×Dic6—32no—
303C2×Dic6—32no—
304C2×Dic6—61no—
305C2×Dic6—64no—
306C2×Dic6C4×D311yescharacteristic
307C3×M16—62no—
308C2×C3×C8—22no—
309C2×C3×C8—22no—
310C2×C3×C8—22no—
311C2×C3×C8—32no—
312C2×C3×C8—32no—
313C2×C3×C8—42no—
314C2×C3×C8—64no—
315C2×C3×C8—64no—
316C2×C3×C8—62no—
317C2×C3×C8C22×D312yes—
318C2×C3×C8C22×D312yes—
319#208—22no—
320#208—64no—
321#208—62no—
322#208—62no—
323#208—122no—
324C2×C3⋊C8—22no—
325C2×C3⋊C8—32no—
326C2×C3⋊C8—32no—
327C2×C3⋊C8—62no—
328C2×C3⋊C8—64no—
329C2×C3⋊C8C22×D312yes—
330C2×C3⋊C8C22×D312yes—
331ΓL(1,𝔽25)—64no—
332D3×C8—24no—
333D3×C8—24no—
334D3×C8—64no—
335C22×C32—22no—
336C22×C32C2×C22⋊C412yes—
337C22×C32C23×C411yescharacteristic
338C2×C3⋊D3—22no—
339C2×C3⋊D3—24no—
340C2×C3×D3—22no—
341C2×C3×D3—28no—
342C2×C3×D3—22no—
343C2×C3×D3—24no—
344C2×C3×D3C2×C22⋊C412yes—
345C2×C3×D3C2×C22⋊C412yes—
346C2×C3×D3#13114yes—
347D32—48no—
348C32×C4C2×C22⋊C412yes—
349C32×C4C22×D411yescharacteristic
350C32×C4C22×D411yescharacteristic
351C3⋊Dic3—22no—
352C3×Dic3—22no—
353C3×Dic3C2×C22⋊C412yes—
354C3×Dic3C2×C22⋊C412yes—
355C2×#41—31no—
356C2×#41—92no—
357C2×#41—92no—
358C2×#41—91no—
359C2×#41—91no—
360C2×#41—91no—
361C2×#41—184no—
362C2×#41—184no—
363C22×Q8—91no—
364C22×D4—91no—
365C22×D4—92no—
366C23×C4—31no—
367C23×C4—92no—
368C2×M16—31no—
369C2×M16—92no—
370C2×M16—91no—
371C2×M16—184no—
372C22×C8—31no—
373C22×C8—32no—
374C22×C8—32no—
375C22×C8—64no—
376C22×C8—92no—
377C22×C8D3211yescharacteristic, complemented
378C22⋊C8—34no—
379C22⋊C8—94no—
380C22⋊C8—94no—
381C22⋊C8—94no—
382C23×C3—21no—
383C23×C3—31no—
384C23×C3—34no—
385C23×C3—31no—
386C23×C3—32no—
387C23×C3—64no—
388C23×C3C2×C4×D311yescharacteristic
389C23×C3C2×C4×D311yescharacteristic
390C22×D3—24no—
391C22×D3—32no—
392C22×D3—32no—
393C22×D3—62no—
394C22×D3—64no—
395C22×D3—68no—
396C22×D3—68no—
397C22×D3—64no—
398C22×D3(C2×D3)⋊C414yes—
399C22×D3C2×C4×D312yes—
400C22×D3C2×C4×D311yescharacteristic
401C22×D3C2×C4×D311yescharacteristic
402C3×Q8—62no—
403C3×D4—64no—
404C3×D4—62no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—34no—
410C2×C3×C4—31no—
411C2×C3×C4—31no—
412C2×C3×C4—34no—
413C2×C3×C4—34no—
414C2×C3×C4—32no—
415C2×C3×C4—32no—
416C2×C3×C4—32no—
417C2×C3×C4—32no—
418C2×C3×C4—32no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4C2×C4×D311yescharacteristic
422C2×C3×C4C2×C4×D311yescharacteristic
423C2×C3×C4C2×D1212yes—
424C2×C3×C4D3×D412yes—
425C2×C3×C4D3×D412yes—
426C2×C3×C4C2×#6712yes—
427C2×C3×C4C23×D311yescharacteristic
428C2×C3×C4C23×D311yescharacteristic
429#67—24no—
430#67—64no—
431#67—64no—
432#67—64no—
433#67—64no—
434#67—64no—
435#67—64no—
436#67—124no—
437C2×Dic3—32no—
438C2×Dic3—32no—
439C2×Dic3—62no—
440C2×Dic3—64no—
441C2×Dic3—64no—
442C2×Dic3(C2×D3)⋊C414yes—
443C2×Dic3C2×C4×D312yes—
444C2×Dic3C2×C4×D311yescharacteristic
445C2×Dic3C2×C4×D311yescharacteristic
446D12—22no—
447D12—64no—
448D12—64no—
449D12—62no—
450D12—62no—
451D12—122no—
452C4×D3—22no—
453C4×D3—22no—
454C4×D3—64no—
455C4×D3—64no—
456C4×D3—64no—
457C4×D3—62no—
458C4×D3—62no—
459C4×D3—62no—
460C4×D3—62no—
461C4×D3—64no—
462C4×D3—122no—
463C4×D3—122no—
464C4×D3(C2×D3)⋊C414yes—
465C4×D3(C2×D3)⋊C414yes—
466C4×D3C2×D1212yes—
467C4×D3C2×D1212yes—
468C4×D3C2×#6712yes—
469C4×D3C2×#6712yes—
470Dic6—22no—
471Dic6—64no—
472Dic6—62no—
473Dic6—62no—
474Dic6—64no—
475Dic6—122no—
476C3×C8—22no—
477C3×C8—22no—
478C3×C8—42no—
479C3×C8—62no—
480C3×C8—62no—
481C3⋊C8—22no—
482C3⋊C8—22no—
483C3⋊C8—62no—
484C3⋊C8—62no—
485C3⋊C8—122no—
486C2×C32—22no—
487C2×C32C22×C22⋊C411yescharacteristic
488C2×C32C2×#13112yes—
489C3⋊D3—42no—
490C3×D3—22no—
491C3×D3—42no—
492C3×D3#40814yescomplemented
493C24—31no—
494C24—92no—
495#41—62no—
496#41—62no—
497#41—184no—
498#41—184no—
499#41—188no—
500#41—184no—
501#41—184no—
502#41—182no—
503#41—182no—
504C2×Q8—31no—
505C2×Q8—92no—
506C2×Q8—91no—
507C2×Q8—184no—
508C2×D4—32no—
509C2×D4—31no—
510C2×D4—92no—
511C2×D4—92no—
512C2×D4—92no—
513C2×D4—92no—
514C2×D4—91no—
515C2×D4—184no—
516C2×D4—188no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—31no—
522C22×C4—34no—
523C22×C4—34no—
524C22×C4—32no—
525C22×C4—92no—
526C22×C4—92no—
527C22×C4—92no—
528C22×C4—92no—
529C22×C4—184no—
530C22×C4—184no—
531C22×C4C2×D3211yescharacteristic
532M16—62no—
533M16—184no—
534M16—182no—
535C2×C8—22no—
536C2×C8—32no—
537C2×C8—32no—
538C2×C8—64no—
539C2×C8—64no—
540C2×C8—62no—
541C2×C8—92no—
542C2×C8—184no—
543C2×C8C2×D3212yes—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—22no—
548C22×C3—32no—
549C22×C3—34no—
550C22×C3—32no—
551C22×C3—42no—
552C22×C3—68no—
553C22×C3—62no—
554C22×C3—64no—
555C22×C3—62no—
556C22×C3D3×C22⋊C412yes—
557C22×C3C2×(C2×D3)⋊C412yes—
558C22×C3C22×C4×D311yescharacteristic
559C22×C3C22×C4×D311yescharacteristic
560C2×D3—22no—
561C2×D3—28no—
562C2×D3—22no—
563C2×D3—24no—
564C2×D3—64no—
565C2×D3—62no—
566C2×D3—64no—
567C2×D3—62no—
568C2×D3—122no—
569C2×D3—124no—
570C2×D3—128no—
571C2×D3—128no—
572C2×D3#90114yes—
573C2×D3C2×(C2×D3)⋊C412yes—
574C2×D3C2×(C2×D3)⋊C412yes—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—22no—
578C3×C4—32no—
579C3×C4—32no—
580C3×C4—62no—
581C3×C4D3×C22⋊C412yes—
582C3×C4C2×(C2×D3)⋊C412yes—
583C3×C4C22×D1211yescharacteristic
584C3×C4C2×D3×D411yescharacteristic
585C3×C4C2×D3×D411yescharacteristic
586C3×C4C22×#6711yescharacteristic
587Dic3—22no—
588Dic3—62no—
589Dic3—62no—
590Dic3—122no—
591Dic3C2×(C2×D3)⋊C412yes—
592Dic3C2×(C2×D3)⋊C412yes—
593C32C2×#40811yescharacteristic, complemented, Sylow
594C23—31no—
595C23—31no—
596C23—34no—
597C23—32no—
598C23—64no—
599C23—92no—
600C23—184no—
601C23—188no—
602C23C4×D3211yescharacteristic
603Q8—62no—
604Q8—184no—
605Q8—182no—
606D4—64no—
607D4—62no—
608D4—184no—
609D4—184no—
610D4—184no—
611D4—184no—
612D4—182no—
613C2×C4—31no—
614C2×C4—31no—
615C2×C4—34no—
616C2×C4—32no—
617C2×C4—32no—
618C2×C4—32no—
619C2×C4—32no—
620C2×C4—34no—
621C2×C4—34no—
622C2×C4—32no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—92no—
626C2×C4—184no—
627C2×C4—184no—
628C2×C4—184no—
629C2×C4—182no—
630C2×C4—182no—
631C2×C4C4×D3211yescharacteristic
632C2×C4D3×D1212yes—
633C2×C4D3×#6712yes—
634C2×C4C22×D3211yescharacteristic
635C8—22no—
636C8—62no—
637C8—62no—
638C8—182no—
639C2×C3—22no—
640C2×C3—22no—
641C2×C3—22no—
642C2×C3—21no—
643C2×C3—34no—
644C2×C3—42no—
645C2×C3—62no—
646C2×C3—122no—
647C2×C3C2×D3×C22⋊C411yescharacteristic
648C2×C3C2×#90112yes—
649C2×C3D3×#13112yes—
650C2×C3C22×(C2×D3)⋊C411yescharacteristic
651D3—22no—
652D3—42no—
653D3—122no—
654D3—122no—
655D3—242no—
656D3#511014yesdirect product factor
657C22—22no—
658C22—34no—
659C22—32no—
660C22—32no—
661C22—68no—
662C22—62no—
663C22—64no—
664C22—62no—
665C22—184no—
666C22—182no—
667C22—368no—
668C22D3×(C2×D3)⋊C412yes—
669C22C2×C4×D3211yescharacteristic
670C4—32no—
671C4—32no—
672C4—62no—
673C4—182no—
674C4D3×(C2×D3)⋊C412yes—
675C4C2×D3×D1211yescharacteristic
676C4C2×D3×#6711yescharacteristic
677C3—21no—
678C3D3×#40811yescharacteristic, complemented
679C3C2×#511011yescharacteristic, complemented
680C2—22no—
681C2—34no—
682C2—62no—
683C2—122no—
684C2—362no—
685C2D3×#90112yes—
686C2C2×D3×(C2×D3)⋊C411yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC22×C32×C8C22
prime radicalC2×D3×#235C2
cosocleC2×C32×C4C24
hypercenterC22×C8D32
hypocenterC32C2×#408
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. C22×C3×D3×C8C2semidirect
3. C2×D3×#208C2semidirect
4. #10592809C2semidirect
5. C3×#5110C2semidirect
6. #10591073C2semidirect
7. #10591070C2semidirect
8. #10590953C2semidirect
9. D3×(C2×D3)⋊C8C2semidirect
25. C22×C32×C8C22semidirect
26. C2×#3748C22semidirect
27. C2×C3×#208C22semidirect
28. C22×C3×C3⋊C8C22semidirect
31. C2×C3×D3×C8C22semidirect
32. C2×#3711C22semidirect
35. #63647C22semidirect
36. C3×(C2×D3)⋊C8C22semidirect
37. #63557C22semidirect
38. (C2×D3)⋊(C3⋊C8)C22semidirect
44. C22×D3×C8D3semidirect
54. #5110D3direct (N × H)
143. C22×C3×C8C2×D3semidirect
144. C22×C3×C8C2×D3semidirect
150. C2×#208C2×D3semidirect
152. C22×C3⋊C8C2×D3semidirect
158. C2×D3×C8C2×D3semidirect
167. (C2×D3)⋊C8C2×D3semidirect
377. C22×C8D32semidirect
492. C3×D3#408semidirect
593. C32C2×#408semidirect
656. D3#5110direct (N × H)
678. C3D3×#408semidirect
679. C3C2×#5110semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2352
C22×C3×D3×C82
C2×D3×#2082
#105928092
C3×#51102
#105910732
#105910702
#105909532
D3×(C2×D3)⋊C82
C2×#51103
D3×#4083