Finite Group Databasebeta

← #13178667

Subgroups — #13178667

Order 1728.

1810 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#89041C211yesmaximal, characteristic, complemented
3C3×#64149C211yesmaximal, characteristic, complemented
4C3×#64145C211yesmaximal, characteristic, complemented
5#11723727C214yesmaximal, complemented
6#11723725C214yesmaximal, complemented
7#11723697C211yesmaximal, characteristic, complemented
8#11723677C211yesmaximal, characteristic, complemented
9#11723673C211yesmaximal, characteristic, complemented
10#10595235—31nomaximal
11#10595233—31nomaximal
12#10595168—31nomaximal
13C23×C3×C3⋊D3C2212yes—
14C2×C33×D4C2211yescharacteristic
15C2×C3×#638C2212yes—
16C2×C3×#638C2214yescomplemented
17C3×D4×C3⋊D3—24no—
18C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
19C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
20C2×C3×C4×C3⋊D3C2211yescharacteristic
21C2×C3×#634C2211yescharacteristic, complemented
22C2×#6295C2212yes—
23C2×#6295C2214yescomplemented
24C2×#6294C2212yescomplemented
25#89041—24no—
26C3×#3757C2214yescomplemented
27C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
28C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
29#88815C2212yescomplemented
30#88814C2212yes—
31#88814C2214yescomplemented
32C2×D4×C3⋊D3D311yescharacteristic, complemented
33C2×C3×D3×D4—31no—
34C2×C3×D3×D4—31no—
35C2×C3×D3×D4—61no—
36C2×#3799—31no—
37C2×#3796—31no—
38C2×#3795—31no—
39#64149D311yescharacteristic, complemented
40#64145D311yescharacteristic, complemented
41C3×#940—31no—
42C3×#940—31no—
43C3×#940—61no—
44C3×#936—31no—
45C3×#936—31no—
46C3×#936—61no—
47#63981—34no—
48#63977—34no—
49#63976—34no—
50#63971—34no—
51#63970—34no—
52#63958—34no—
53#63914—31no—
54#63911—31no—
55#63911—31no—
56#63874—31no—
57#63864—31no—
58#63863—31no—
59#63860—31no—
60#63855—31no—
61#63855—31no—
62C23×C33C2312yes—
63C22×C3×C3⋊D3—24no—
64C22×C3×C3⋊D3—44no—
65C22×C3×C3⋊D3C2312yes—
66C22×C3×C3⋊D3C2312yes—
67C22×C3×C3⋊D3C2311yescharacteristic
68C33×D4—22no—
69C2×C33×C4C2311yescharacteristic
70C3×#638—24no—
71C3×#638—44no—
72C2×C3×C3⋊Dic3C2312yes—
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C3×C4⋊(C3⋊D3)—22no—
77C3×C4⋊(C3⋊D3)—22no—
78C3×C4×C3⋊D3D414yescomplemented
79C3×#634—22no—
80#6295—24no—
81#6295—44no—
82#6294—24no—
83#5805—91no—
84#5715—91no—
85#5674—91no—
86C23×C3⋊D3C2×D312yes—
87C23×C3×D3—32no—
88C23×C3×D3—32no—
89C23×C3×D3—62no—
90C2×C32×D4—21no—
91C2×C32×D4—21no—
92C2×C32×D4—21no—
93C2×C32×D4—41no—
94C2×C32×D4C2×D311yescharacteristic
95C2×C32×D4C2×D311yescharacteristic
96C2×C32×D4C2×D311yescharacteristic
97C2×#638C2×D312yes—
98C2×#638C2×D314yescomplemented
99D4×C3⋊D3—24no—
100C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
101C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
102C2×C4×C3⋊D3C2×D311yescharacteristic
103C2×#634C2×D311yescharacteristic, complemented
104C2×C3×#67—32no—
105C2×C3×#67—32no—
106C2×C3×#67—34no—
107C2×C3×#67—34no—
108C2×C3×#67—62no—
109C2×C3×#67—64no—
110C3×D3×D4—64no—
111C3×D3×D4—64no—
112C3×D3×D4—68no—
113C2×C3×D12—31no—
114C2×C3×D12—31no—
115C2×C3×D12—31no—
116C2×C3×D12—31no—
117C2×C3×D12—61no—
118C2×C3×D12—61no—
119C2×C3×C4×D3—31no—
120C2×C3×C4×D3—31no—
121C2×C3×C4×D3—61no—
122C2×C3×Dic6—31no—
123C2×C3×Dic6—31no—
124C2×C3×Dic6—61no—
125C2×#626—32no—
126C2×#626—32no—
127C2×#626—34no—
128C2×#626—34no—
129C2×#625—32no—
130C2×#625—34no—
131C2×#624—32no—
132C2×D3×Dic3—32no—
133C2×D3×Dic3—32no—
134#3799—64no—
135#3796—64no—
136#3795—64no—
137#3757C2×D314yescomplemented
138C4×C3⋊Dic3C2×D311yescharacteristic, complemented
139C4×C3⋊Dic3C2×D311yescharacteristic, complemented
140C3×#217—34no—
141C3×#217—34no—
142C3×#217—64no—
143C3×C4×Dic3—31no—
144C3×C4×Dic3—31no—
145C3×C4×Dic3—31no—
146C3×C4×Dic3—31no—
147C3×C4×Dic3—61no—
148C3×C4×Dic3—61no—
149#3724—32no—
150Dic3⋊Dic3—32no—
151Dic3⋊Dic3—32no—
152#3722—34no—
153#3722—32no—
154(C2×D3)⋊Dic3—32no—
155(C2×D3)⋊Dic3—32no—
156(C2×D3)⋊Dic3—34no—
157(C2×D3)⋊Dic3—34no—
158C22×C33—22no—
159C22×C33—24no—
160C22×C33C2411yescharacteristic
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3—24no—
165C2×C3×C3⋊D3—24no—
166C2×C3×C3⋊D3—48no—
167C2×C3×C3⋊D3C2×D412yes—
168C33×C4C2×D412yes—
169C3×C3⋊Dic3—22no—
170C3×C3⋊Dic3—22no—
171C3×C3⋊Dic3—22no—
172C3×C3⋊Dic3C2×D412yes—
173C22×C3×D4—91no—
174C2×#239—91no—
175C2×#237—91no—
176C2×D3×D4—31no—
177C2×D3×D4—31no—
178C2×D3×D4—61no—
179C2×#235—91no—
180C3×#127—91no—
181C3×#124—91no—
182#953—94no—
183#947—91no—
184#940—31no—
185#940—31no—
186#940—61no—
187#940—91no—
188#940—91no—
189#939—94no—
190#938—94no—
191#937—94no—
192#936—31no—
193#936—31no—
194#936—61no—
195#936—91no—
196#926—91no—
197#884—94no—
198#882—94no—
199#875—91no—
200#874—91no—
201#872—91no—
202#872—91no—
203C23×C32—22no—
204C23×C32—22no—
205C23×C32—22no—
206C23×C32—42no—
207C23×C32C22×D312yes—
208C23×C32C22×D312yes—
209C23×C32C22×D312yes—
210C22×C3⋊D3—24no—
211C22×C3⋊D3—44no—
212C22×C3⋊D3C22×D312yes—
213C22×C3⋊D3C22×D312yes—
214C22×C3⋊D3C22×D311yescharacteristic
215C22×C3×D3—31no—
216C22×C3×D3—31no—
217C22×C3×D3—32no—
218C22×C3×D3—32no—
219C22×C3×D3—32no—
220C22×C3×D3—32no—
221C22×C3×D3—61no—
222C22×C3×D3—62no—
223C22×C3×D3—62no—
224C22×C3×D3—64no—
225C22×C3×D3—64no—
226C22×C3×D3—68no—
227C22×C3×D3—124no—
228C22×C3×D3—124no—
229C22×C3×D3—128no—
230C32×D4—22no—
231C32×D4—24no—
232C32×D4—22no—
233C32×D4—22no—
234C32×D4—42no—
235C32×D4—42no—
236C32×D4—44no—
237C2×C32×C4—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4—41no—
241C2×C32×C4C22×D311yescharacteristic
242C2×C32×C4C22×D311yescharacteristic
243C2×C32×C4C22×D311yescharacteristic
244#638—24no—
245#638—44no—
246C2×C3⋊Dic3C22×D312yes—
247C2×C3⋊Dic3C22×D312yes—
248C2×C3⋊Dic3C22×D312yes—
249C2×C3⋊Dic3C22×D311yescharacteristic
250C4⋊(C3⋊D3)—22no—
251C4⋊(C3⋊D3)—22no—
252C4×C3⋊D3#6714yescomplemented
253#634—22no—
254C3×#67—64no—
255C3×#67—64no—
256C3×#67—68no—
257C3×#67—124no—
258C3×#67—124no—
259C3×#67—128no—
260C2×C3×Dic3—31no—
261C2×C3×Dic3—31no—
262C2×C3×Dic3—32no—
263C2×C3×Dic3—32no—
264C2×C3×Dic3—32no—
265C2×C3×Dic3—32no—
266C2×C3×Dic3—32no—
267C2×C3×Dic3—32no—
268C2×C3×Dic3—62no—
269C2×C3×Dic3—61no—
270C2×C3×Dic3—62no—
271C2×C3×Dic3—62no—
272C3×D12—64no—
273C3×D12—62no—
274C3×D12—62no—
275C3×D12—62no—
276C3×D12—62no—
277C3×D12—122no—
278C3×C4×D3—34no—
279C3×C4×D3—34no—
280C3×C4×D3—64no—
281C3×Dic6—62no—
282C3×Dic6—62no—
283C3×Dic6—122no—
284#626—64no—
285#626—64no—
286#626—124no—
287#626—124no—
288#625—64no—
289#625—124no—
290#624—64no—
291D3×Dic3—64no—
292D3×Dic3—64no—
293#535—271noSylow
294C2×C33—42no—
295C2×C33C22×D411yescharacteristic
296C2×C33H(5,𝔽2)12yes—
297C3×C3⋊D3—22no—
298C3×C3⋊D3—42no—
299C3×C3⋊D3—42no—
300C24×C3—92no—
301C23×D3—32no—
302C23×D3—32no—
303C23×D3—62no—
304C2×C3×Q8—91no—
305C2×C3×D4—21no—
306C2×C3×D4—21no—
307C2×C3×D4—21no—
308C2×C3×D4—41no—
309C2×C3×D4—92no—
310C2×C3×D4—94no—
311C2×C3×D4—91no—
312C2×C3×D4—91no—
313C2×C3×D4—184no—
314C2×C3×D4D3211yescharacteristic
315C2×C3×D4D3211yescharacteristic
316C2×C3×D4D3211yescharacteristic
317C22×C3×C4—91no—
318C2×#67—32no—
319C2×#67—32no—
320C2×#67—34no—
321C2×#67—34no—
322C2×#67—62no—
323C2×#67—64no—
324C2×#67—92no—
325C2×#67—92no—
326C2×#67—94no—
327C2×#67—94no—
328C22×Dic3—92no—
329#239—184no—
330#237—184no—
331D3×D4—64no—
332D3×D4—64no—
333D3×D4—68no—
334#235—184no—
335C2×D12—31no—
336C2×D12—31no—
337C2×D12—31no—
338C2×D12—31no—
339C2×D12—61no—
340C2×D12—61no—
341C2×D12—92no—
342C2×D12—94no—
343C2×C4×D3—31no—
344C2×C4×D3—31no—
345C2×C4×D3—61no—
346C2×C4×D3—92no—
347C2×C4×D3—92no—
348C2×Dic6—31no—
349C2×Dic6—31no—
350C2×Dic6—61no—
351C3×C22⋊C4—94no—
352C3×C42—91no—
353C3×C42—91no—
354#217—34no—
355#217—34no—
356#217—64no—
357#217—92no—
358#217—94no—
359(C2×D3)⋊C4—92no—
360(C2×D3)⋊C4—92no—
361(C2×D3)⋊C4—94no—
362(C2×D3)⋊C4—94no—
363C4⋊Dic3—92no—
364Dic3⋊C4—92no—
365Dic3⋊C4—92no—
366C4×Dic3—31no—
367C4×Dic3—31no—
368C4×Dic3—31no—
369C4×Dic3—31no—
370C4×Dic3—61no—
371C4×Dic3—61no—
372C22×C32—22no—
373C22×C32—24no—
374C22×C32—22no—
375C22×C32—22no—
376C22×C32—24no—
377C22×C32—24no—
378C22×C32—24no—
379C22×C32—21no—
380C22×C32—21no—
381C22×C32—21no—
382C22×C32—41no—
383C22×C32—42no—
384C22×C32—42no—
385C22×C32—44no—
386C22×C32—44no—
387C22×C32—44no—
388C22×C32—44no—
389C22×C32—84no—
390C22×C32C23×D311yescharacteristic
391C22×C32C23×D311yescharacteristic
392C22×C32C23×D311yescharacteristic
393C2×C3⋊D3—22no—
394C2×C3⋊D3—22no—
395C2×C3⋊D3—22no—
396C2×C3⋊D3—24no—
397C2×C3⋊D3—24no—
398C2×C3⋊D3—48no—
399C2×C3⋊D3C2×#6712yes—
400C2×C3×D3—32no—
401C2×C3×D3—32no—
402C2×C3×D3—62no—
403C2×C3×D3—64no—
404C2×C3×D3—62no—
405C2×C3×D3—62no—
406C2×C3×D3—64no—
407C2×C3×D3—62no—
408C2×C3×D3—62no—
409C2×C3×D3—62no—
410C2×C3×D3—64no—
411C2×C3×D3—64no—
412C2×C3×D3—64no—
413C2×C3×D3—64no—
414C2×C3×D3—62no—
415C2×C3×D3—124no—
416C2×C3×D3—122no—
417C2×C3×D3—124no—
418C2×C3×D3—1216no—
419C2×C3×D3—128no—
420C2×C3×D3—128no—
421C32×C4—22no—
422C32×C4—22no—
423C32×C4—22no—
424C32×C4—42no—
425C32×C4D3×D412yes—
426C32×C4D3×D412yes—
427C32×C4C2×#6712yes—
428C3⋊Dic3—22no—
429C3⋊Dic3—22no—
430C3⋊Dic3—22no—
431C3⋊Dic3C2×#6712yes—
432C3×Dic3—32no—
433C3×Dic3—32no—
434C3×Dic3—62no—
435C3×Dic3—64no—
436C3×Dic3—62no—
437C3×Dic3—62no—
438C3×Dic3—62no—
439C3×Dic3—62no—
440C3×Dic3—62no—
441C3×Dic3—62no—
442C3×Dic3—122no—
443C3×Dic3—122no—
444C2×#41—271no—
445C22×D4—91no—
446#127—91no—
447#127—271no—
448#124—91no—
449#124—271no—
450#121—274no—
451#120—274no—
452#117—271no—
453C33#53511yescharacteristic, complemented, Sylow
454C23×C3—22no—
455C23×C3—22no—
456C23×C3—22no—
457C23×C3—42no—
458C23×C3—91no—
459C23×C3—92no—
460C23×C3—92no—
461C23×C3—184no—
462C23×C3—364no—
463C23×C3C2×D3212yes—
464C23×C3C2×D3212yes—
465C23×C3C2×D3212yes—
466C22×D3—31no—
467C22×D3—31no—
468C22×D3—32no—
469C22×D3—32no—
470C22×D3—32no—
471C22×D3—32no—
472C22×D3—61no—
473C22×D3—62no—
474C22×D3—62no—
475C22×D3—64no—
476C22×D3—64no—
477C22×D3—68no—
478C22×D3—124no—
479C22×D3—124no—
480C22×D3—128no—
481C3×Q8—182no—
482C3×D4—24no—
483C3×D4—22no—
484C3×D4—22no—
485C3×D4—22no—
486C3×D4—42no—
487C3×D4—42no—
488C3×D4—44no—
489C3×D4—184no—
490C3×D4—182no—
491C3×D4—182no—
492C3×D4—364no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—41no—
497C2×C3×C4—91no—
498C2×C3×C4—94no—
499C2×C3×C4—92no—
500C2×C3×C4—92no—
501C2×C3×C4—92no—
502C2×C3×C4C2×D3211yescharacteristic
503C2×C3×C4C2×D3211yescharacteristic
504C2×C3×C4C2×D3211yescharacteristic
505#67—64no—
506#67—64no—
507#67—68no—
508#67—124no—
509#67—124no—
510#67—128no—
511#67—184no—
512#67—184no—
513#67—364no—
514#67—364no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—32no—
518C2×Dic3—32no—
519C2×Dic3—32no—
520C2×Dic3—32no—
521C2×Dic3—32no—
522C2×Dic3—32no—
523C2×Dic3—62no—
524C2×Dic3—61no—
525C2×Dic3—62no—
526C2×Dic3—62no—
527C2×Dic3—184no—
528D12—64no—
529D12—62no—
530D12—62no—
531D12—62no—
532D12—62no—
533D12—122no—
534D12—184no—
535D12—364no—
536C4×D3—34no—
537C4×D3—34no—
538C4×D3—64no—
539C4×D3—184no—
540C4×D3—184no—
541Dic6—62no—
542Dic6—62no—
543Dic6—122no—
544C2×C32—22no—
545C2×C32—22no—
546C2×C32—22no—
547C2×C32—21no—
548C2×C32—21no—
549C2×C32—21no—
550C2×C32—41no—
551C2×C32—42no—
552C2×C32—42no—
553C2×C32—44no—
554C2×C32—42no—
555C2×C32—42no—
556C2×C32—82no—
557C2×C32—82no—
558C2×C32—84no—
559C2×C32C2×D3×D411yescharacteristic
560C2×C32C2×D3×D411yescharacteristic
561C2×C32#100412yes—
562C2×C32#100412yes—
563C2×C32#100912yes—
564C2×C32C22×#6711yescharacteristic
565C3⋊D3—22no—
566C3⋊D3—42no—
567C3⋊D3—42no—
568C3×D3—64no—
569C3×D3—62no—
570C3×D3—62no—
571C3×D3—124no—
572C3×D3—122no—
573C3×D3—122no—
574C3×D3—122no—
575C3×D3—122no—
576C3×D3—242no—
577C24—92no—
578#41—544no—
579C2×Q8—91no—
580C2×D4—92no—
581C2×D4—94no—
582C2×D4—91no—
583C2×D4—91no—
584C2×D4—184no—
585C2×D4—272no—
586C2×D4—274no—
587C2×D4#111311yescharacteristic
588C22×C4—91no—
589C22×C4—272no—
590C4⋊C4—272no—
591C22⋊C4—94no—
592C22⋊C4—272no—
593C22⋊C4—274no—
594C42—91no—
595C42—91no—
596C22×C3—24no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3—24no—
600C22×C3—22no—
601C22×C3—22no—
602C22×C3—22no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—44no—
607C22×C3—44no—
608C22×C3—42no—
609C22×C3—42no—
610C22×C3—44no—
611C22×C3—44no—
612C22×C3—41no—
613C22×C3—84no—
614C22×C3—92no—
615C22×C3—182no—
616C22×C3—184no—
617C22×C3—184no—
618C22×C3—182no—
619C22×C3—182no—
620C22×C3—368no—
621C22×C3C22×D3211yescharacteristic
622C22×C3C22×D3211yescharacteristic
623C22×C3C22×D3211yescharacteristic
624C2×D3—32no—
625C2×D3—32no—
626C2×D3—62no—
627C2×D3—64no—
628C2×D3—62no—
629C2×D3—62no—
630C2×D3—64no—
631C2×D3—64no—
632C2×D3—64no—
633C2×D3—64no—
634C2×D3—64no—
635C2×D3—62no—
636C2×D3—62no—
637C2×D3—62no—
638C2×D3—62no—
639C2×D3—124no—
640C2×D3—122no—
641C2×D3—124no—
642C2×D3—1216no—
643C2×D3—128no—
644C2×D3—128no—
645C3×C4—22no—
646C3×C4—22no—
647C3×C4—22no—
648C3×C4—42no—
649C3×C4—92no—
650C3×C4—182no—
651C3×C4—182no—
652C3×C4—182no—
653C3×C4D3×#6712yes—
654C3×C4D3×#6712yes—
655C3×C4#381112yes—
656Dic3—32no—
657Dic3—32no—
658Dic3—62no—
659Dic3—64no—
660Dic3—62no—
661Dic3—62no—
662Dic3—62no—
663Dic3—62no—
664Dic3—62no—
665Dic3—62no—
666Dic3—122no—
667Dic3—122no—
668C32—21no—
669C32—21no—
670C32—21no—
671C32—41no—
672C32#567411yescharacteristic, complemented
673C32#571511yescharacteristic, complemented
674C32#580511yescharacteristic, complemented
675C23—91no—
676C23—92no—
677C23—92no—
678C23—184no—
679C23—364no—
680C23C2×#111312yes—
681Q8—182no—
682D4—22no—
683D4—184no—
684D4—182no—
685D4—182no—
686D4—364no—
687D4—544no—
688D4—1084no—
689C2×C4—91no—
690C2×C4—94no—
691C2×C4—92no—
692C2×C4—92no—
693C2×C4—92no—
694C2×C4—544no—
695C2×C4C2×#111311yescharacteristic
696C2×C3—22no—
697C2×C3—22no—
698C2×C3—22no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—44no—
703C2×C3—42no—
704C2×C3—42no—
705C2×C3—42no—
706C2×C3—42no—
707C2×C3—41no—
708C2×C3—82no—
709C2×C3—82no—
710C2×C3—84no—
711C2×C3—182no—
712C2×C3—362no—
713C2×C3—362no—
714C2×C3#6431312yes—
715C2×C3#6431412yes—
716C2×C3#6431412yes—
717C2×C3C2×D3×#6711yescharacteristic
718C2×C3C2×D3×#6711yescharacteristic
719C2×C3C2×#381111yescharacteristic
720D3—64no—
721D3—62no—
722D3—62no—
723D3—124no—
724D3—122no—
725D3—122no—
726D3—122no—
727D3—122no—
728D3—242no—
729C22—24no—
730C22—22no—
731C22—92no—
732C22—182no—
733C22—184no—
734C22—184no—
735C22—182no—
736C22—182no—
737C22—368no—
738C22C22×#111311yescharacteristic
739C4—92no—
740C4—182no—
741C4—182no—
742C4—182no—
743C4#8904912yes—
744C3—21no—
745C3—21no—
746C3—21no—
747C3—41no—
748C3#1059516811yescharacteristic, complemented
749C3#1059523311yescharacteristic, complemented
750C3#1059523511yescharacteristic, complemented
751C2—42no—
752C2—182no—
753C2—362no—
754C2—362no—
755C2#1172462312yes—
756C2C2×#8904911yescharacteristic
subgroupG/H
center, FrattiniC22C22×#1113
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
hypercenterC2×D4#1113
hypocenterC33#535
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×C3⋊D3C2semidirect
2. C2×#89041C2semidirect
3. C3×#64149C2semidirect
4. C3×#64145C2semidirect
5. #11723727C2semidirect
6. #11723725C2semidirect
7. #11723697C2semidirect
8. #11723677C2semidirect
9. #11723673C2semidirect
16. C2×C3×#638C22semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×#634C22semidirect
23. C2×#6295C22semidirect
24. C2×#6294C22semidirect
26. C3×#3757C22semidirect
27. C3×C4×C3⋊Dic3C22semidirect
28. C3×C4×C3⋊Dic3C22semidirect
29. #88815C22semidirect
31. #88814C22semidirect
32. C2×D4×C3⋊D3D3semidirect
39. #64149D3semidirect
40. #64145D3semidirect
78. C3×C4×C3⋊D3D4semidirect
98. C2×#638C2×D3semidirect
101. C2×C4⋊(C3⋊D3)C2×D3semidirect
103. C2×#634C2×D3semidirect
137. #3757C2×D3semidirect
138. C4×C3⋊Dic3C2×D3semidirect
139. C4×C3⋊Dic3C2×D3semidirect
252. C4×C3⋊D3#67semidirect
453. C33#535semidirect
672. C32#5674semidirect
673. C32#5715semidirect
674. C32#5805semidirect
748. C3#10595168semidirect
749. C3#10595233semidirect
750. C3#10595235semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×C3⋊D32
C2×#890412
C3×#641492
C3×#641452
#117237272
#117237252
#117236972
#117236772
#117236732
#105952353
#105952333
#105951683