Finite Group Databasebeta

← #11900179

Subgroups — #11900179

Order 1152.

3533 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1004C211yesmaximal, characteristic
2C2×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
3C3×#5798C211yesmaximal, characteristic, complemented
4#10595506C214yesmaximal, complemented
5C2×#67⋊Dic3C214yesmaximal, complemented
6#10595222C214yesmaximal, complemented
7#10595215C214yesmaximal, complemented
8Dic3×#237C214yesmaximal, complemented
9D3×D4×Dic3C214yesmaximal, complemented
10#10594992C212yesmaximal, complemented
11#10594958C212yesmaximal, complemented
12Dic3×H(5,𝔽2)—31nomaximal
13#85857—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C23×C3⋊Dic3C2212yescomplemented
16C22×C3×#67C2214yes—
17C3×#1004C4116yescomplemented
18C2×C3×#237C2214yes—
19C2×C3×D3×D4C2214yes—
20C2×C3×#235C2212yes—
21C22×D3×Dic3C2214yescomplemented
22C2×#3757C2212yescomplemented
23D4×C3⋊Dic3C2214yescomplemented
24D4×C3⋊Dic3C2214yescomplemented
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
26C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
27C2×C3×#217C2214yescomplemented
28C3×D4×Dic3C2214yescomplemented
29C3×D4×Dic3C2214yescomplemented
30C3×#926C2212yescomplemented
31#67⋊Dic3C2218yescomplemented
32#67⋊Dic3C2214yescomplemented
33#67⋊Dic3C2214yescomplemented
34#67⋊Dic3C2218yescomplemented
35#67⋊Dic3C2218yescomplemented
36Dic3×#67C2218yescomplemented
37Dic3×#67C2218yescomplemented
38D3×#217C2218yescomplemented
39C2×Dic3⋊Dic3C2214yescomplemented
40C2×(C2×D3)⋊Dic3C2214yescomplemented
41#63955C2218yescomplemented
42C2×Dic32C2214yescomplemented
43#63898C2212yescomplemented
44#63898C2212yescomplemented
45Dic3×D12C2214yescomplemented
46D3×C4⋊Dic3C2214yescomplemented
47C4×D3×Dic3C2214yescomplemented
48#63855C2214yescomplemented
49#63843C2212yescomplemented
50#63843C2212yescomplemented
51Dic3×Dic6C2214yescomplemented
52#63841C2214yescomplemented
53C2×C3×H(5,𝔽2)—31no—
54C2×#1004D311yescharacteristic
55C3×#518—31no—
56#5827—34no—
57#5827—32no—
58Dic3×#41—34no—
59Dic3×#41—32no—
60#5798—34no—
61#5798—34no—
62#5798D311yescharacteristic, complemented
63C2×D4×Dic3—31no—
64C2×D4×Dic3—31no—
65C2×D4×Dic3—34no—
66C2×D4×Dic3—34no—
67C2×D4×Dic3—61no—
68#5546—34no—
69#5545—34no—
70C4×D3×D4—34no—
71C4×#237—34no—
72#5523—32no—
73#5522—32no—
74#5486—34no—
75C2×#67⋊C4—34no—
76C24×C32C2312yes—
77C23×C3×D3C2314yes—
78C2×C32×D4C2×C418yescomplemented
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C22×C3⋊Dic3—44no—
82C22×C3⋊Dic3C2314yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2312yes—
85C22×C3⋊Dic3C2314yes—
86C22×C3⋊Dic3C2311yescharacteristic
87C2×C3×#67C2×C4132yescomplemented
88C2×C3×#67C2314yes—
89C2×C3×#67C2318yes—
90C22×C3×Dic3C2314yes—
91C22×C3×Dic3C2314yes—
92C22×C3×Dic3C2314yes—
93C3×#237C2×C4132yescomplemented
94C3×D3×D4C2×C4132yescomplemented
95C3×#235C2×C4116yescomplemented
96C2×C3×D12C2312yes—
97C2×C3×C4×D3C2314yes—
98C2×C3×Dic6C2312yes—
99C2×D3×Dic3—48no—
100C2×D3×Dic3C2314yes—
101C2×D3×Dic3C2318yes—
102C2×D3×Dic3C2314yes—
103#3757C2318yes—
104C4⋊(C3⋊Dic3)C2314yes—
105C4×C3⋊Dic3C2312yes—
106C4×C3⋊Dic3C2312yes—
107C3×#217C2314yes—
108C3×#217C2318yes—
109C3×C4⋊Dic3C2312yes—
110C3×C4⋊Dic3C2312yes—
111C3×C4×Dic3C2314yes—
112Dic3⋊Dic3C2318yes—
113Dic3⋊Dic3C2314yes—
114Dic3⋊Dic3C2314yes—
115(C2×D3)⋊Dic3C2318yes—
116(C2×D3)⋊Dic3C2314yes—
117(C2×D3)⋊Dic3C2314yes—
118Dic32C2318yes—
119Dic32C2314yes—
120Dic32C2314yes—
121C4×H(5,𝔽2)—91noSylow
122C3×H(5,𝔽2)—316no—
123C2×C3×#41—34no—
124C2×C3×#41—32no—
125C22×C3×D4—21no—
126C22×C3×D4—34no—
127C22×C3×D4—34no—
128C22×C3×D4C2×D311yescharacteristic
129C22×C3×D4C2×D311yescharacteristic
130C22×#67C2×D314yes—
131C23×Dic3—32no—
132C23×Dic3—32no—
133C23×Dic3—34no—
134C23×Dic3—62no—
135#1004Dic3116yescomplemented
136C2×#237C2×D314yes—
137C2×D3×D4C2×D314yes—
138C2×#235C2×D312yes—
139C22×C4×D3—34no—
140C3×C4×D4—34no—
141C3×C4×D4—34no—
142C3×#117—32no—
143C2×C3×C22⋊C4—34no—
144C2×#217—32no—
145C2×#217—32no—
146C2×#217—34no—
147C2×#217—38no—
148C2×#217—62no—
149C2×#217C2×D314yescomplemented
150Q8×Dic3—32no—
151Q8×Dic3—32no—
152Q8×Dic3—34no—
153D4×Dic3—34no—
154D4×Dic3—34no—
155D4×Dic3—34no—
156D4×Dic3—34no—
157D4×Dic3—38no—
158D4×Dic3—38no—
159D4×Dic3—38no—
160D4×Dic3—34no—
161D4×Dic3—38no—
162D4×Dic3—38no—
163D4×Dic3—34no—
164D4×Dic3—32no—
165D4×Dic3—32no—
166D4×Dic3—34no—
167D4×Dic3—64no—
168D4×Dic3—64no—
169D4×Dic3C2×D314yescomplemented
170D4×Dic3C2×D314yescomplemented
171C4×#67—38no—
172C4×#67—38no—
173C2×(C2×D3)⋊C4—34no—
174#926—38no—
175#926—34no—
176#926—34no—
177#926C2×D312yescomplemented
178C2×C4⋊Dic3—31no—
179C2×C4⋊Dic3—31no—
180C2×C4⋊Dic3—34no—
181C2×C4⋊Dic3—34no—
182C2×C4⋊Dic3—61no—
183C2×Dic3⋊C4—34no—
184C2×C4×Dic3—31no—
185C2×C4×Dic3—31no—
186C2×C4×Dic3—34no—
187C2×C4×Dic3—34no—
188C2×C4×Dic3—34no—
189C2×C4×Dic3—61no—
190#893—32no—
191#893—32no—
192#892—34no—
193D3×C4⋊C4—34no—
194#887—32no—
195#887—32no—
196#67⋊C4—34no—
197#67⋊C4—38no—
198#67⋊C4—38no—
199#67⋊C4—38no—
200#67⋊C4—34no—
201D3×C22⋊C4—38no—
202#877—38no—
203C4×D12—34no—
204#872—34no—
205C42×D3—34no—
206C4×Dic6—34no—
207C23×C32—42no—
208C23×C32—42no—
209C23×C32C22×C418yescomplemented
210C23×C32C2414yes—
211C23×C32C2411yescharacteristic
212C22×C3×D3—44no—
213C22×C3×D3—44no—
214C22×C3×D3C22×C4116yescomplemented
215C22×C3×D3C2414yes—
216C32×D4C22×C4116yescomplemented
217C2×C32×C4C22×C414yescomplemented
218C2×C32×C4C2412yes—
219C2×C3⋊Dic3—22no—
220C2×C3⋊Dic3—28no—
221C2×C3⋊Dic3—44no—
222C2×C3⋊Dic3—42no—
223C2×C3⋊Dic3—41no—
224C2×C3⋊Dic3C2412yes—
225C2×C3⋊Dic3C2414yes—
226C2×C3⋊Dic3C2411yescharacteristic
227C2×C3⋊Dic3C2411yescharacteristic
228C3×#67C22×C4116yescomplemented
229C3×#67C22×C4132yescomplemented
230C2×C3×Dic3—44no—
231C2×C3×Dic3—44no—
232C2×C3×Dic3C22×C4116yescomplemented
233C2×C3×Dic3C2414yes—
234C2×C3×Dic3C2414yes—
235C2×C3×Dic3C2414yes—
236C3×D12C22×C418yescomplemented
237C3×C4×D3C22×C4116yescomplemented
238C3×Dic6C22×C418yescomplemented
239D3×Dic3—28no—
240D3×Dic3—48no—
241D3×Dic3—44no—
242C2×H(5,𝔽2)—31no—
243#520—92no—
244#520—94no—
245#518—31no—
246#518—94no—
247#518—94no—
248C4×#41—92no—
249C4×#41—94no—
250C2×C4×D4—94no—
251C2×C4×D4—94no—
252C2×C4×D4—91no—
253C24×C3—22no—
254C24×C3—34no—
255C24×C3C22×D312yes—
256C24×C3C22×D312yes—
257C23×D3C22×D314yes—
258C3×#41—332no—
259C3×#41—316no—
260C2×C3×Q8—32no—
261C2×C3×D4—28no—
262C2×C3×D4—24no—
263C2×C3×D4—332no—
264C2×C3×D4—38no—
265C2×C3×D4—34no—
266C2×C3×D4—332no—
267C2×C3×D4—32no—
268C2×C3×D4C4×D318yescomplemented
269C2×C3×D4C2×Dic318yescomplemented
270C2×C3×D4C22×D314yes—
271C2×C3×D4C22×D314yes—
272C22×C3×C4—21no—
273C22×C3×C4—34no—
274C22×C3×C4—34no—
275C22×C3×C4—34no—
276C22×C3×C4—34no—
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C22×D311yescharacteristic
279C2×#67C2×Dic3132yescomplemented
280C2×#67C22×D314yes—
281C2×#67C22×D318yes—
282C22×Dic3—31no—
283C22×Dic3—34no—
284C22×Dic3—34no—
285C22×Dic3—31no—
286C22×Dic3—31no—
287C22×Dic3—32no—
288C22×Dic3—34no—
289C22×Dic3—31no—
290C22×Dic3—34no—
291C22×Dic3—32no—
292C22×Dic3—34no—
293C22×Dic3—34no—
294C22×Dic3—38no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297C22×Dic3—62no—
298C22×Dic3—64no—
299C22×Dic3—64no—
300C22×Dic3—128no—
301C22×Dic3—124no—
302C22×Dic3—124no—
303C22×Dic3—128no—
304C22×Dic3C22×D314yes—
305C22×Dic3C22×D314yes—
306C22×Dic3C22×D314yes—
307#237C2×Dic3132yescomplemented
308D3×D4C2×Dic3132yescomplemented
309#235C2×Dic3116yescomplemented
310C2×D12C22×D312yes—
311C2×C4×D3—34no—
312C2×C4×D3—34no—
313C2×C4×D3—38no—
314C2×C4×D3—128no—
315C2×C4×D3C22×D314yes—
316C2×Dic6C22×D312yes—
317C3×C4⋊C4—32no—
318C3×C4⋊C4—32no—
319C3×C22⋊C4—38no—
320C3×C22⋊C4—34no—
321C3×C42—34no—
322#217—38no—
323#217—38no—
324#217—34no—
325#217—38no—
326#217—34no—
327#217—68no—
328#217C22×D318yes—
329#217C22×D314yes—
330(C2×D3)⋊C4—34no—
331(C2×D3)⋊C4—34no—
332(C2×D3)⋊C4—38no—
333C4⋊Dic3—34no—
334C4⋊Dic3—34no—
335C4⋊Dic3—38no—
336C4⋊Dic3—34no—
337C4⋊Dic3—34no—
338C4⋊Dic3—64no—
339C4⋊Dic3C22×D312yes—
340C4⋊Dic3C22×D312yes—
341Dic3⋊C4—38no—
342Dic3⋊C4—34no—
343Dic3⋊C4—34no—
344C4×Dic3—32no—
345C4×Dic3—32no—
346C4×Dic3—32no—
347C4×Dic3—32no—
348C4×Dic3—38no—
349C4×Dic3—34no—
350C4×Dic3—34no—
351C4×Dic3—34no—
352C4×Dic3—34no—
353C4×Dic3—38no—
354C4×Dic3—62no—
355C4×Dic3—62no—
356C4×Dic3C22×D314yes—
357C22×C32—21no—
358C22×C32—21no—
359C22×C32—24no—
360C22×C32—24no—
361C22×C32—48no—
362C22×C32C23×C418yes—
363C22×C32C23×C412yes—
364C22×C32C2511yescharacteristic
365C2×C3×D3—24no—
366C2×C3×D3—24no—
367C2×C3×D3—416no—
368C2×C3×D3C23×C418yes—
369C32×C4C23×C414yes—
370C3⋊Dic3—21no—
371C3⋊Dic3—24no—
372C3⋊Dic3—22no—
373C3⋊Dic3H(5,𝔽2)12yescomplemented
374C3×Dic3—24no—
375C3×Dic3—24no—
376C3×Dic3C23×C418yes—
377H(5,𝔽2)—316no—
378C2×#41—34no—
379C2×#41—32no—
380C22×D4—34no—
381C22×D4—34no—
382C22×D4D3211yescharacteristic
383C23×C4—94no—
384C23×C4—92no—
385C4×Q8—94no—
386C4×Q8—92no—
387C4×Q8—92no—
388C4×D4—34no—
389C4×D4—34no—
390C4×D4—94no—
391C4×D4—94no—
392C4×D4—98no—
393C4×D4—98no—
394C4×D4—98no—
395C4×D4—94no—
396C4×D4—92no—
397C4×D4—92no—
398C4×D4—98no—
399C4×D4—98no—
400C4×D4—94no—
401C4×D4—94no—
402#117—32no—
403#117—94no—
404#117—98no—
405#117—94no—
406C2×C4⋊C4—94no—
407C2×C4⋊C4—94no—
408C2×C4⋊C4—91no—
409C2×C22⋊C4—34no—
410C2×C22⋊C4—98no—
411C2×C22⋊C4—94no—
412C2×C22⋊C4—92no—
413C2×C42—94no—
414C2×C42—94no—
415C2×C42—91no—
416C23×C3—21no—
417C23×C3—24no—
418C23×C3—28no—
419C23×C3—34no—
420C23×C3—316no—
421C23×C3—42no—
422C23×C3—42no—
423C23×C3—42no—
424C23×C3—42no—
425C23×C3—44no—
426C23×C3—44no—
427C23×C3—124no—
428C23×C3—124no—
429C23×C3C2×C4×D318yescomplemented
430C23×C3C22×Dic318yescomplemented
431C23×C3C23×D314yes—
432C23×C3C23×D311yescharacteristic
433C23×C3C23×D314yes—
434C23×C3C23×D311yescharacteristic
435C22×D3—44no—
436C22×D3—44no—
437C22×D3C22×Dic3116yescomplemented
438C22×D3C23×D314yes—
439C3×Q8—38no—
440C3×D4—216no—
441C3×D4—332no—
442C3×D4—316no—
443C3×D4—38no—
444C3×D4C2×C4×D3116yescomplemented
445C3×D4C22×Dic3116yescomplemented
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—316no—
449C2×C3×C4—34no—
450C2×C3×C4—316no—
451C2×C3×C4—34no—
452C2×C3×C4—34no—
453C2×C3×C4—124no—
454C2×C3×C4—124no—
455C2×C3×C4C2×C4×D314yescomplemented
456C2×C3×C4C22×Dic314yescomplemented
457C2×C3×C4C23×D312yes—
458C2×C3×C4C23×D312yes—
459#67C22×Dic3116yescomplemented
460#67C22×Dic3132yescomplemented
461C2×Dic3—31no—
462C2×Dic3—31no—
463C2×Dic3—32no—
464C2×Dic3—32no—
465C2×Dic3—31no—
466C2×Dic3—34no—
467C2×Dic3—34no—
468C2×Dic3—31no—
469C2×Dic3—44no—
470C2×Dic3—44no—
471C2×Dic3—61no—
472C2×Dic3—61no—
473C2×Dic3—62no—
474C2×Dic3—64no—
475C2×Dic3—68no—
476C2×Dic3—68no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—68no—
480C2×Dic3—64no—
481C2×Dic3—128no—
482C2×Dic3—124no—
483C2×Dic3—128no—
484C2×Dic3—121no—
485C2×Dic3—121no—
486C2×Dic3—122no—
487C2×Dic3—124no—
488C2×Dic3—124no—
489C2×Dic3—122no—
490C2×Dic3—128no—
491C2×Dic3—122no—
492C2×Dic3—124no—
493C2×Dic3C22×Dic3116yescomplemented
494C2×Dic3C23×D314yes—
495C2×Dic3C23×D314yes—
496C2×Dic3C23×D314yes—
497D12C22×Dic318yescomplemented
498C4×D3—68no—
499C4×D3—124no—
500C4×D3—128no—
501C4×D3C22×Dic3116yescomplemented
502Dic6C22×Dic318yescomplemented
503C2×C32—22no—
504C2×C32—28no—
505C2×C32C24×C411yescharacteristic
506C2×C32C2×H(5,𝔽2)11yescharacteristic
507C2×C32#58511yescharacteristic
508C3×D3—28no—
509C24—34no—
510C24C2×D3212yes—
511#41—332no—
512#41—316no—
513C2×Q8—32no—
514C2×D4—34no—
515C2×D4—38no—
516C2×D4—332no—
517C2×D4—332no—
518C2×D4—32no—
519C2×D4D3×Dic318yescomplemented
520C2×D4C2×D3214yes—
521C22×C4—34no—
522C22×C4—34no—
523C22×C4—34no—
524C22×C4—34no—
525C22×C4—94no—
526C22×C4—94no—
527C22×C4—98no—
528C22×C4—91no—
529C22×C4—94no—
530C22×C4—91no—
531C22×C4—92no—
532C22×C4—94no—
533C22×C4—368no—
534C22×C4—364no—
535C22×C4C2×D3211yescharacteristic
536C4⋊C4—32no—
537C4⋊C4—32no—
538C4⋊C4—98no—
539C4⋊C4—94no—
540C4⋊C4—94no—
541C4⋊C4—94no—
542C22⋊C4—34no—
543C22⋊C4—38no—
544C22⋊C4—98no—
545C22⋊C4—94no—
546C22⋊C4—94no—
547C22⋊C4—98no—
548C42—34no—
549C42—94no—
550C42—98no—
551C42—94no—
552C42—92no—
553C42—92no—
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—24no—
557C22×C3—21no—
558C22×C3—21no—
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—24no—
564C22×C3—22no—
565C22×C3—28no—
566C22×C3—21no—
567C22×C3—38no—
568C22×C3—44no—
569C22×C3—44no—
570C22×C3—48no—
571C22×C3—48no—
572C22×C3—416no—
573C22×C3—64no—
574C22×C3—64no—
575C22×C3—1216no—
576C22×C3C22×C4×D318yes—
577C22×C3C22×C4×D312yes—
578C22×C3C23×Dic318yes—
579C22×C3C23×Dic312yes—
580C22×C3C24×D311yescharacteristic
581C22×C3C24×D311yescharacteristic
582C2×D3—24no—
583C2×D3—24no—
584C2×D3—416no—
585C2×D3C23×Dic318yes—
586C3×C4—24no—
587C3×C4—38no—
588C3×C4—64no—
589C3×C4—64no—
590C3×C4C22×C4×D314yes—
591C3×C4C23×Dic314yes—
592Dic3—24no—
593Dic3—24no—
594Dic3—32no—
595Dic3—32no—
596Dic3—62no—
597Dic3—62no—
598Dic3—64no—
599Dic3—61no—
600Dic3—61no—
601Dic3—64no—
602Dic3—62no—
603Dic3—62no—
604Dic3—124no—
605Dic3—122no—
606Dic3C23×Dic318yes—
607C32C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
608C23—34no—
609C23—316no—
610C23—42no—
611C23—42no—
612C23—124no—
613C23—124no—
614C23C2×D3×Dic318yescomplemented
615C23C22×D3211yescharacteristic
616C23C22×D3214yes—
617Q8—38no—
618D4—332no—
619D4—316no—
620D4—38no—
621D4C2×D3×Dic3116yescomplemented
622C2×C4—316no—
623C2×C4—34no—
624C2×C4—316no—
625C2×C4—34no—
626C2×C4—34no—
627C2×C4—91no—
628C2×C4—92no—
629C2×C4—91no—
630C2×C4—94no—
631C2×C4—124no—
632C2×C4—124no—
633C2×C4—188no—
634C2×C4—182no—
635C2×C4—188no—
636C2×C4—368no—
637C2×C4—364no—
638C2×C4—364no—
639C2×C4—362no—
640C2×C4—361no—
641C2×C4C2×D3×Dic314yescomplemented
642C2×C4C22×D3212yes—
643C2×C3—24no—
644C2×C3—22no—
645C2×C3—28no—
646C2×C3—28no—
647C2×C3—22no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—48no—
652C2×C3—68no—
653C2×C3C23×C4×D311yescharacteristic
654C2×C3D3×H(5,𝔽2)11yescharacteristic
655C2×C3D3×H(5,𝔽2)11yescharacteristic
656C2×C3#596611yescharacteristic
657C2×C3#596611yescharacteristic
658C2×C3C24×Dic311yescharacteristic
659D3—28no—
660C22—24no—
661C22—21no—
662C22—24no—
663C22—21no—
664C22—38no—
665C22—48no—
666C22—64no—
667C22—64no—
668C22—1216no—
669C22C22×D3×Dic318yes—
670C22C22×D3×Dic312yes—
671C22C23×D3211yescharacteristic
672C4—38no—
673C4—64no—
674C4—64no—
675C4—92no—
676C4—181no—
677C4—184no—
678C4—182no—
679C4C22×D3×Dic314yes—
680C3—21no—
681C3#8585711yescharacteristic, complemented
682C3Dic3×H(5,𝔽2)11yescharacteristic, complemented
683C2—22no—
684C2—28no—
685C2—68no—
686C2#1059667511yescharacteristic
687C2#1059667911yescharacteristic
688C2C23×D3×Dic311yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutatorC2×C32C24×C4
FittingC22×C32×D4C22
socle, cosocleC22×C32C25
prime radicalC2×C3×#1004C2
hypercenterC22×D4D32
hypocenterC32C4×H(5,𝔽2)
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×D4×C3⋊Dic3C2semidirect
3. C3×#5798C2semidirect
4. #10595506C2semidirect
5. C2×#67⋊Dic3C2semidirect
6. #10595222C2semidirect
7. #10595215C2semidirect
8. Dic3×#237C2semidirect
9. D3×D4×Dic3C2semidirect
10. #10594992C2semidirect
11. #10594958C2semidirect
15. C23×C3⋊Dic3C22semidirect
17. C3×#1004C4semidirect
21. C22×D3×Dic3C22semidirect
22. C2×#3757C22semidirect
23. D4×C3⋊Dic3C22semidirect
24. D4×C3⋊Dic3C22semidirect
25. C2×C4⋊(C3⋊Dic3)C22semidirect
26. C2×C4×C3⋊Dic3C22semidirect
27. C2×C3×#217C22semidirect
28. C3×D4×Dic3C22semidirect
29. C3×D4×Dic3C22semidirect
30. C3×#926C22semidirect
31. #67⋊Dic3C22semidirect
32. #67⋊Dic3C22semidirect
33. #67⋊Dic3C22semidirect
34. #67⋊Dic3C22semidirect
35. #67⋊Dic3C22semidirect
36. Dic3×#67C22semidirect
37. Dic3×#67C22semidirect
38. D3×#217C22semidirect
39. C2×Dic3⋊Dic3C22semidirect
40. C2×(C2×D3)⋊Dic3C22semidirect
41. #63955C22semidirect
42. C2×Dic32C22semidirect
43. #63898C22semidirect
44. #63898C22semidirect
45. Dic3×D12C22semidirect
46. D3×C4⋊Dic3C22semidirect
47. C4×D3×Dic3C22semidirect
48. #63855C22semidirect
49. #63843C22semidirect
50. #63843C22semidirect
51. Dic3×Dic6C22semidirect
52. #63841C22semidirect
62. #5798D3semidirect
78. C2×C32×D4C2×C4semidirect
87. C2×C3×#67C2×C4semidirect
93. C3×#237C2×C4semidirect
94. C3×D3×D4C2×C4semidirect
95. C3×#235C2×C4semidirect
135. #1004Dic3semidirect
149. C2×#217C2×D3semidirect
169. D4×Dic3C2×D3semidirect
170. D4×Dic3C2×D3semidirect
177. #926C2×D3semidirect
209. C23×C32C22×C4semidirect
214. C22×C3×D3C22×C4semidirect
216. C32×D4C22×C4semidirect
217. C2×C32×C4C22×C4semidirect
228. C3×#67C22×C4semidirect
229. C3×#67C22×C4semidirect
232. C2×C3×Dic3C22×C4semidirect
236. C3×D12C22×C4semidirect
237. C3×C4×D3C22×C4semidirect
238. C3×Dic6C22×C4semidirect
268. C2×C3×D4C4×D3semidirect
269. C2×C3×D4C2×Dic3semidirect
279. C2×#67C2×Dic3semidirect
307. #237C2×Dic3semidirect
308. D3×D4C2×Dic3semidirect
309. #235C2×Dic3semidirect
373. C3⋊Dic3H(5,𝔽2)semidirect
429. C23×C3C2×C4×D3semidirect
430. C23×C3C22×Dic3semidirect
437. C22×D3C22×Dic3semidirect
444. C3×D4C2×C4×D3semidirect
445. C3×D4C22×Dic3semidirect
455. C2×C3×C4C2×C4×D3semidirect
456. C2×C3×C4C22×Dic3semidirect
459. #67C22×Dic3semidirect
460. #67C22×Dic3semidirect
493. C2×Dic3C22×Dic3semidirect
497. D12C22×Dic3semidirect
501. C4×D3C22×Dic3semidirect
502. Dic6C22×Dic3semidirect
519. C2×D4D3×Dic3semidirect
607. C32C4×H(5,𝔽2)semidirect
614. C23C2×D3×Dic3semidirect
621. D4C2×D3×Dic3semidirect
641. C2×C4C2×D3×Dic3semidirect
681. C3#85857semidirect
682. C3Dic3×H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10042
C2×D4×C3⋊Dic32
C3×#57982
#105955062
C2×#67⋊Dic32
#105952222
#105952152
Dic3×#2372
D3×D4×Dic32
#105949922
#105949582
Dic3×H(5,𝔽2)3
#858573