Finite Group Databasebeta

← #11868622

Subgroups — #11868622

Order 1152.

821 conjugacy classes of subgroups.

The subgroup lattice has 707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#239C211yesmaximal, characteristic
2#10593874C211yesmaximal, characteristic, complemented
3#10592721C211yesmaximal, characteristic, complemented
4C3×#5022C211yesmaximal, characteristic, complemented
5#10591556C211yesmaximal, characteristic
6#10591556C211yesmaximal, characteristic
7#10591546C211yesmaximal, characteristic, complemented
8#10591544C211yesmaximal, characteristic, complemented
9#10590572C211yesmaximal, characteristic, complemented
10#10590571C211yesmaximal, characteristic, complemented
11#10590558C211yesmaximal, characteristic, complemented
12#10590555C211yesmaximal, characteristic, complemented
13D3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
14#10590271C211yesmaximal, characteristic, complemented
15#10590270C211yesmaximal, characteristic, complemented
16#82507—31nomaximal
17#81229—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C32×C4×Q8C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C3×#893—21no—
23C3×#893C2211yescharacteristic
24C3×#892—21no—
25C3×#892C2211yescharacteristic
26C3×C4×D12—21no—
27C3×C4×D12C2211yescharacteristic
28C3×C42×D3—21no—
29C3×C42×D3C2211yescharacteristic
30C3×#870C2211yescharacteristic
31#63918C2211yescharacteristic
32#63918C2211yescharacteristic
33#63851—21no—
34#63851—21no—
35#63841C2211yescharacteristic
36#63841C2211yescharacteristic
37#63837—21no—
38#63837—21no—
39C2×D3×C3⋊C8C2211yescharacteristic
40C2×D3×C3⋊C8C2211yescharacteristic
41#63662C2211yescharacteristic
42#63662C2211yescharacteristic
43#63635C2211yescharacteristic
44#63634C2211yescharacteristic
45C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#808C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63576C2211yescharacteristic
52#63575C2211yescharacteristic
53#63574C2211yescharacteristic
54#63573C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61C3×C4×#41—31no—
62#5688—31no—
63C4×#239D311yescharacteristic
64#5470—31no—
65C3×#479—31no—
66#5233—31no—
67#5233—31no—
68#5066—31no—
69#5022—31no—
70#5022—31no—
71#5022—61no—
72#5022D311yescharacteristic, complemented
73#5021—31no—
74#5020—31no—
75#5009—31no—
76#5009—31no—
77#5008—31no—
78#5007—31no—
79#4998—31no—
80#4998—31no—
81C2×C4⋊(C3⋊C8)—31no—
82#4890—31no—
83#4880—31no—
84#4870—31no—
85#4860—31no—
86#4847—31no—
87D3×C4⋊C8—31no—
88#4804—31no—
89#4804—31no—
90#4793—31no—
91#4791—31no—
92C2×C32×Q8C2311yescharacteristic
93C3×#239—22no—
94C3×#239Q814yescomplemented
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3D411yescharacteristic
101C2×C3×C4×D3D411yescharacteristic
102C2×C3×C4×D3C2311yescharacteristic
103C2×#627—21no—
104C2×#627—21no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C42—21no—
108C32×C42C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112#3750—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3D411yescharacteristic
127C3×C4×Dic3D411yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137D3×C3⋊C8—22no—
138D3×C3⋊C8—22no—
139#3076—91noSylow
140C2×C3×#41—31no—
141C2×#239C2×D311yescharacteristic
142C3×#125—31no—
143C3×C4×Q8—21no—
144C3×C4×Q8—31no—
145C3×C4×Q8C2×D311yescharacteristic
146C3×C4×Q8C2×D311yescharacteristic
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—61no—
150C3×C4×D4—61no—
151C3×#117—31no—
152C3×#117—61no—
153C2×C3×C42—31no—
154C2×C3×C42—61no—
155Q8×Dic3C2×D311yescharacteristic
156#926—31no—
157#926—31no—
158#924—61no—
159#924—61no—
160C22×C3⋊C8—31no—
161C22×C3⋊C8—31no—
162C2×D3×C8—31no—
163C2×D3×C8—31no—
164#896—61no—
165#896—61no—
166#893—21no—
167#893C2×D311yescharacteristic
168#892—21no—
169#892—31no—
170#892—31no—
171#892C2×D311yescharacteristic
172#888—31no—
173#888—31no—
174#887—61no—
175#887—61no—
176C4×D12—21no—
177C4×D12C2×D311yescharacteristic
178C42×D3—21no—
179C42×D3C2×D311yescharacteristic
180#870—31no—
181#870—31no—
182#870—61no—
183#870C2×D311yescharacteristic
184#869—31no—
185#869—31no—
186C4×Dic6—61no—
187C4×Dic6—61no—
188C3×#107—31no—
189C3×#106—31no—
190C3×C4⋊C8—31no—
191C3×#103—31no—
192C3×#103—31no—
193#835—31no—
194#835—31no—
195#835—31no—
196#835—31no—
197#835—61no—
198#835—61no—
199#835C2×D311yescharacteristic
200#835C2×D311yescharacteristic
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#821—31no—
206#821—31no—
207#818—31no—
208#817—31no—
209Dic3⋊C8—31no—
210Dic3⋊C8—31no—
211#809—31no—
212#809—31no—
213#808—31no—
214#808—31no—
215#808—31no—
216#808—31no—
217#808—31no—
218#808—61no—
219#808C2×D311yescharacteristic
220#807—31no—
221#807—31no—
222#807—31no—
223#807—31no—
224#807—31no—
225#807—61no—
226#807C2×D311yescharacteristic
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C22×C3×D3—21no—
234C22×C3×D3C2×D411yescharacteristic
235C32×Q8—21no—
236C32×Q8C2×Q812yes—
237C2×C32×C4—21no—
238C2×C32×C4—21no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C3×D12—24no—
251C3×D12—21no—
252C3×D12C2×Q812yes—
253C3×C4×D3—24no—
254C3×C4×D3—22no—
255C3×C4×D3—41no—
256C3×C4×D3—42no—
257C3×C4×D3—42no—
258C3×C4×D3C2×Q812yes—
259C3×C4×D3#4112yes—
260#627—42no—
261#627—42no—
262C3⋊(C3⋊C8)—21no—
263C3⋊(C3⋊C8)—21no—
264C3×C3⋊C8—21no—
265C3×C3⋊C8—21no—
266#533—91no—
267C4×#41—31no—
268#479—31no—
269#479—91no—
270#478—91no—
271#478—91no—
272#477—91no—
273#476—91no—
274#475—91no—
275#474—91no—
276#427—91no—
277#427—91no—
278C2×C4⋊C8—91no—
279#416—91no—
280#416—91no—
281C3×#41—34no—
282C3×#41—62no—
283C2×C3×Q8—21no—
284C2×C3×Q8C22×D311yescharacteristic
285C2×C3×Q8C22×D311yescharacteristic
286C2×C3×D4—31no—
287C2×C3×D4—61no—
288C22×C3×C4—31no—
289C22×C3×C4—31no—
290C22×C3×C4—31no—
291C22×C3×C4—61no—
292C22×C3×C4—61no—
293C22×C3×C4—61no—
294#239—22no—
295#239Dic614yescomplemented
296C2×D12—21no—
297C2×D12C22×D311yescharacteristic
298C2×C4×D3—21no—
299C2×C4×D3—21no—
300C2×C4×D3—21no—
301C2×C4×D3#6711yescharacteristic
302C2×C4×D3#6711yescharacteristic
303C2×C4×D3C22×D311yescharacteristic
304C2×Dic6—61no—
305C2×Dic6—61no—
306C2×Dic6—61no—
307C2×Dic6—61no—
308C2×C3×C8—31no—
309C2×C3×C8—31no—
310C3×C4⋊C4—21no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—31no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—41no—
317C3×C4⋊C4—61no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4C22×D311yescharacteristic
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C22⋊C4—61no—
323C3×C22⋊C4—61no—
324C3×C22⋊C4—61no—
325C3×C42—21no—
326C3×C42—21no—
327C3×C42—21no—
328C3×C42—31no—
329C3×C42—31no—
330C3×C42—31no—
331C3×C42—41no—
332C3×C42—61no—
333C3×C42—61no—
334C3×C42C22×D311yescharacteristic
335C3×C42C22×D311yescharacteristic
336#217—61no—
337#217—61no—
338(C2×D3)⋊C4—21no—
339(C2×D3)⋊C4—21no—
340(C2×D3)⋊C4—21no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343C4⋊Dic3—21no—
344C4⋊Dic3—31no—
345C4⋊Dic3—31no—
346C4⋊Dic3—31no—
347C4⋊Dic3—31no—
348C4⋊Dic3—61no—
349C4⋊Dic3—61no—
350C4⋊Dic3—61no—
351C4⋊Dic3—61no—
352C4⋊Dic3C22×D311yescharacteristic
353C4⋊Dic3C22×D311yescharacteristic
354C4⋊Dic3C22×D311yescharacteristic
355Dic3⋊C4—21no—
356Dic3⋊C4—21no—
357Dic3⋊C4—61no—
358Dic3⋊C4—61no—
359Dic3⋊C4—61no—
360Dic3⋊C4—61no—
361Dic3⋊C4—61no—
362Dic3⋊C4—61no—
363Dic3⋊C4—121no—
364Dic3⋊C4—121no—
365C4×Dic3—21no—
366C4×Dic3—21no—
367C4×Dic3—61no—
368C4×Dic3—61no—
369C4×Dic3—61no—
370C4×Dic3—61no—
371C4×Dic3#6711yescharacteristic
372C4×Dic3#6711yescharacteristic
373C4×Dic3C22×D311yescharacteristic
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—31no—
377C2×C3⋊C8—31no—
378C2×C3⋊C8—61no—
379C2×C3⋊C8—61no—
380C2×C3⋊C8—62no—
381C2×C3⋊C8—62no—
382C2×C3⋊C8C22×D311yescharacteristic
383C2×C3⋊C8C22×D311yescharacteristic
384D3×C8—62no—
385D3×C8—62no—
386C22×C32C22×D411yescharacteristic
387C2×C3×D3—21no—
388C2×C3×D3—21no—
389C2×C3×D3—22no—
390C2×C3×D3—41no—
391C2×C3×D3—41no—
392C2×C3×D3C22⋊Q812yes—
393C32×C4—22no—
394C32×C4—21no—
395C32×C4—21no—
396C32×C4—41no—
397C32×C4C22×Q811yescharacteristic
398C32×C4C2×#4111yescharacteristic
399C3⋊Dic3—41no—
400C3⋊Dic3—41no—
401C3×Dic3—21no—
402C3×Dic3—41no—
403C3×Dic3—41no—
404C3×Dic3—41no—
405C3×Dic3C22⋊Q812yes—
406C3×Dic3#13512yes—
407C2×#41—31no—
408C22×C8—91no—
409C22×C8—91no—
410C4⋊Q8—91no—
411C4⋊Q8—91no—
412#125—31no—
413#125—91no—
414C22⋊Q8—181no—
415C22⋊Q8—181no—
416C4×Q8—31no—
417C4×Q8—181no—
418C4×Q8—181no—
419C4×Q8D3211yescharacteristic
420C4×D4—31no—
421C4×D4—31no—
422C4×D4—61no—
423C4×D4—61no—
424#117—31no—
425#117—61no—
426#117—91no—
427#117—91no—
428C2×C42—31no—
429C2×C42—61no—
430#107—31no—
431#107—91no—
432#107—91no—
433#107—91no—
434#106—31no—
435#106—91no—
436#106—91no—
437#106—91no—
438C4⋊C8—31no—
439C4⋊C8—91no—
440C4⋊C8—91no—
441C4⋊C8—91no—
442#103—31no—
443#103—31no—
444#103—91no—
445#103—91no—
446#102—91no—
447#102—91no—
448#102—91no—
449#102—91no—
450C23×C3—31no—
451C23×C3—61no—
452C22×D3—21no—
453C22×D3C2×#6711yescharacteristic
454C3×Q8—21no—
455C3×Q8—21no—
456C3×Q8—22no—
457C3×Q8—41no—
458C3×Q8C2×Dic612yes—
459C3×Q8D3×Q812yes—
460C3×D4—32no—
461C3×D4—64no—
462C3×D4—61no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—31no—
471C2×C3×C4—31no—
472C2×C3×C4—32no—
473C2×C3×C4—32no—
474C2×C3×C4—31no—
475C2×C3×C4—41no—
476C2×C3×C4—41no—
477C2×C3×C4—62no—
478C2×C3×C4—64no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—121no—
483C2×C3×C4—122no—
484C2×C3×C4—122no—
485C2×C3×C4D3×D411yescharacteristic
486C2×C3×C4D3×D411yescharacteristic
487C2×C3×C4C2×#6711yescharacteristic
488C2×C3×C4C2×#6711yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—121no—
499C2×Dic3—121no—
500C2×Dic3C2×#6711yescharacteristic
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503D12—24no—
504D12—21no—
505D12C2×Dic612yes—
506C4×D3—24no—
507C4×D3—22no—
508C4×D3—41no—
509C4×D3—42no—
510C4×D3—42no—
511C4×D3C2×Dic612yes—
512C4×D3#23512yes—
513Dic6—122no—
514Dic6—122no—
515Dic6—122no—
516Dic6—122no—
517C3×C8—61no—
518C3×C8—61no—
519C3⋊C8—21no—
520C3⋊C8—21no—
521C3⋊C8—61no—
522C3⋊C8—61no—
523C3⋊C8—61no—
524C3⋊C8—61no—
525C3⋊C8—121no—
526C3⋊C8—121no—
527C2×C32C2×C22⋊Q811yescharacteristic
528C2×C32C2×#13511yescharacteristic
529C2×C32#57511yescharacteristic
530C3×D3—22no—
531C3×D3—42no—
532#41—34no—
533#41—62no—
534C2×Q8—181no—
535C2×Q8—181no—
536C2×Q8C2×D3211yescharacteristic
537C2×D4—31no—
538C2×D4—61no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—61no—
543C22×C4—61no—
544C22×C4—61no—
545C2×C8—31no—
546C2×C8—31no—
547C2×C8—91no—
548C2×C8—91no—
549C2×C8—182no—
550C2×C8—182no—
551C4⋊C4—21no—
552C4⋊C4—31no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—91no—
559C4⋊C4—91no—
560C4⋊C4—181no—
561C4⋊C4—181no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C4⋊C4C2×D3211yescharacteristic
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C42—21no—
571C42—31no—
572C42—31no—
573C42—31no—
574C42—61no—
575C42—61no—
576C42—181no—
577C42—181no—
578C42C2×D3211yescharacteristic
579C22×C3—21no—
580C22×C3—32no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3—62no—
584C22×C3—121no—
585C22×C3—121no—
586C22×C3C2×D3×D411yescharacteristic
587C22×C3C22×#6711yescharacteristic
588C2×D3—21no—
589C2×D3—21no—
590C2×D3—22no—
591C2×D3—41no—
592C2×D3—41no—
593C2×D3#92412yes—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—22no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—22no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—32no—
603C3×C4—32no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—42no—
607C3×C4—41no—
608C3×C4—41no—
609C3×C4—61no—
610C3×C4—81no—
611C3×C4—121no—
612C3×C4—121no—
613C3×C4—121no—
614C3×C4C22×Dic611yescharacteristic
615C3×C4C2×#23511yescharacteristic
616C3×C4C2×D3×Q811yescharacteristic
617C3×C4D3×#4111yescharacteristic
618Dic3—21no—
619Dic3—41no—
620Dic3—41no—
621Dic3—41no—
622Dic3—121no—
623Dic3—121no—
624Dic3—121no—
625Dic3—121no—
626Dic3—241no—
627Dic3—241no—
628Dic3#92412yes—
629Dic3#95012yes—
630C32#307611yescharacteristic, complemented, Sylow
631C23—31no—
632C23—61no—
633Q8—21no—
634Q8—362no—
635Q8—362no—
636Q8D3×Dic612yes—
637D4—32no—
638D4—64no—
639D4—61no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—32no—
645C2×C4—32no—
646C2×C4—31no—
647C2×C4—62no—
648C2×C4—64no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—121no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—181no—
656C2×C4—181no—
657C2×C4D3×#6711yescharacteristic
658C2×C4D3×#6711yescharacteristic
659C2×C4C22×D3211yescharacteristic
660C8—61no—
661C8—61no—
662C8—181no—
663C8—181no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—62no—
668C2×C3—122no—
669C2×C3D3×C22⋊Q811yescharacteristic
670C2×C3D3×#13511yescharacteristic
671C2×C3#577711yescharacteristic
672C2×C3C2×#92411yescharacteristic
673C2×C3C2×#95011yescharacteristic
674C2×C3#582211yescharacteristic
675D3—22no—
676D3—42no—
677C22—32no—
678C22—61no—
679C22—61no—
680C22—62no—
681C22—121no—
682C22—121no—
683C22C2×D3×#6711yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—32no—
688C4—32no—
689C4—41no—
690C4—61no—
691C4—121no—
692C4—121no—
693C4—121no—
694C4—361no—
695C4—361no—
696C4C2×D3×Dic611yescharacteristic
697C4D3×#23511yescharacteristic
698C3—21no—
699C3#8122911yescharacteristic, complemented
700C3#8250711yescharacteristic, complemented
701C2—62no—
702C2—122no—
703C2D3×#92411yescharacteristic
704C2#1059531711yescharacteristic
705C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC2×C3×#239C22
hypercenterC4×Q8D32
hypocenterC32#3076
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
2. #10593874C2semidirect
3. #10592721C2semidirect
4. C3×#5022C2semidirect
7. #10591546C2semidirect
8. #10591544C2semidirect
9. #10590572C2semidirect
10. #10590571C2semidirect
11. #10590558C2semidirect
12. #10590555C2semidirect
13. D3×C4⋊(C3⋊C8)C2semidirect
14. #10590271C2semidirect
15. #10590270C2semidirect
72. #5022D3semidirect
94. C3×#239Q8semidirect
295. #239Dic6semidirect
630. C32#3076semidirect
699. C3#81229semidirect
700. C3#82507semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#2392
#105938742
#105927212
C3×#50222
#105915562
#105915462
#105915442
#105905722
#105905712
#105905582
#105905552
D3×C4⋊(C3⋊C8)2
#105902712
#105902702
#825073
#812293