Finite Group Databasebeta

← #13178641

Subgroups — #13178641

Order 1728.

1330 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64146C211yesmaximal, characteristic
2C3×#64145C211yesmaximal, characteristic, complemented
3C3×#64144C211yesmaximal, characteristic, complemented
4#11723726C212yesmaximal, complemented
5#11723724C212yesmaximal, complemented
6#11723723C212yesmaximal, complemented
7#11723716C212yesmaximal, complemented
8#11723688C212yesmaximal, complemented
9#11723683C212yesmaximal, complemented
10#10595208—31nomaximal
11#10595178—31nomaximal
12#10595176—31nomaximal
13C23×C3×C3⋊D3C2211yescharacteristic
14C2×C33×D4C2211yescharacteristic
15C2×C3×#638C2212yes—
16C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
17C2×C3×#634C2211yescharacteristic, complemented
18C2×#6294C2212yes—
19C2×#6294C2212yes—
20C3×#3757C2212yes—
21C3×#3757C2212yes—
22C3×#3757C2211yescharacteristic
23C3×#3757C2211yescharacteristic, complemented
24C3×#3757C2212yescomplemented
25C3×#3752C2212yes—
26C3×#3750C2212yescomplemented
27C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
28#88815C2212yescomplemented
29#88815C2212yescomplemented
30#88815C2212yescomplemented
31#88814C2212yes—
32#88814C2212yes—
33#88813C2212yescomplemented
34#64146D311yescharacteristic
35#64145D311yescharacteristic, complemented
36#64144D311yescharacteristic, complemented
37C3×#937—31no—
38C3×#937—31no—
39C3×#937—61no—
40C3×#936—31no—
41C3×#936—31no—
42C3×#936—61no—
43C3×#935—31no—
44C3×#935—31no—
45C3×#935—61no—
46#63975—32no—
47#63974—32no—
48#67⋊Dic3—32no—
49Dic3×#67—32no—
50#63969—32no—
51#63969—32no—
52D3×#217—32no—
53D3×#217—32no—
54#63956—32no—
55#63956—32no—
56#63956—32no—
57#63952—32no—
58#63896—32no—
59#63888—32no—
60#63887—32no—
61#63878—32no—
62#63877—32no—
63#63836—32no—
64C23×C33C2311yescharacteristic
65C23×C33C2311yescharacteristic
66C22×C3×C3⋊D3—24no—
67C22×C3×C3⋊D3—41no—
68C22×C3×C3⋊D3C2312yes—
69C33×D4—41no—
70C2×C33×C4C2311yescharacteristic
71C3×#638—24no—
72C2×C3×C3⋊Dic3—41no—
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2312yes—
76C2×C3×C3⋊Dic3C2312yes—
77C2×C3×C3⋊Dic3C2312yes—
78C3×#634—41no—
79#6294—24no—
80#6294—42no—
81#5679—91no—
82#5659—91no—
83#5587—91no—
84C23×C3⋊D3C2×D311yescharacteristic
85C23×C3×D3—31no—
86C23×C3×D3—31no—
87C23×C3×D3—61no—
88C2×C32×D4—21no—
89C2×C32×D4—21no—
90C2×C32×D4—21no—
91C2×C32×D4—41no—
92C2×C32×D4C2×D311yescharacteristic
93C2×C32×D4C2×D311yescharacteristic
94C2×C32×D4C2×D311yescharacteristic
95C2×#638C2×D312yes—
96C22×C3⋊Dic3C2×D311yescharacteristic, complemented
97C2×#634C2×D311yescharacteristic, complemented
98C2×C3×#67—32no—
99C2×C3×#67—32no—
100C2×C3×#67—62no—
101C22×C3×Dic3—31no—
102C22×C3×Dic3—31no—
103C22×C3×Dic3—61no—
104C2×C3×Dic6—31no—
105C2×C3×Dic6—31no—
106C2×C3×Dic6—61no—
107C2×#624—32no—
108C2×#624—32no—
109C2×D3×Dic3—32no—
110C2×D3×Dic3—32no—
111C2×D3×Dic3—32no—
112C2×D3×Dic3—32no—
113#3757C2×D312yes—
114#3757C2×D312yes—
115#3757C2×D311yescharacteristic
116#3757C2×D311yescharacteristic, complemented
117#3757C2×D312yescomplemented
118#3752C2×D312yes—
119#3750C2×D312yescomplemented
120C4×C3⋊Dic3C2×D311yescharacteristic, complemented
121C3×#217—32no—
122C3×#217—32no—
123C3×#217—32no—
124C3×#217—32no—
125C3×#217—31no—
126C3×#217—31no—
127C3×#217—31no—
128C3×#217—31no—
129C3×#217—32no—
130C3×#217—32no—
131C3×#217—62no—
132C3×#217—62no—
133C3×#217—61no—
134C3×#217—61no—
135C3×#217—62no—
136C3×(C2×D3)⋊C4—32no—
137C3×(C2×D3)⋊C4—32no—
138C3×(C2×D3)⋊C4—62no—
139C3×Dic3⋊C4—32no—
140C3×Dic3⋊C4—32no—
141C3×Dic3⋊C4—62no—
142C3×C4×Dic3—31no—
143C3×C4×Dic3—31no—
144C3×C4×Dic3—61no—
145#3724—32no—
146#3724—32no—
147#3724—32no—
148Dic3⋊Dic3—32no—
149Dic3⋊Dic3—32no—
150Dic3⋊Dic3—32no—
151Dic3⋊Dic3—32no—
152Dic3⋊Dic3—32no—
153Dic3⋊Dic3—32no—
154#3722—32no—
155#3722—32no—
156(C2×D3)⋊Dic3—32no—
157(C2×D3)⋊Dic3—32no—
158(C2×D3)⋊Dic3—32no—
159(C2×D3)⋊Dic3—32no—
160Dic32—32no—
161Dic32—32no—
162Dic32—32no—
163C22×C33—22no—
164C22×C33—22no—
165C22×C33—21no—
166C22×C33—21no—
167C22×C33C2411yescharacteristic
168C2×C3×C3⋊D3—22no—
169C2×C3×C3⋊D3—22no—
170C2×C3×C3⋊D3—44no—
171C2×C3×C3⋊D3#4114yes—
172C33×C4—21no—
173C3×C3⋊Dic3—22no—
174C3×C3⋊Dic3—22no—
175C3×C3⋊Dic3—22no—
176C3×C3⋊Dic3—22no—
177C3×C3⋊Dic3—22no—
178C3×#124—91no—
179C3×#123—91no—
180C3×#120—91no—
181C2×#217—92no—
182#946—92no—
183#937—31no—
184#937—31no—
185#937—61no—
186#936—31no—
187#936—31no—
188#936—61no—
189#935—31no—
190#935—31no—
191#935—61no—
192#935—92no—
193D4×Dic3—92no—
194C4×#67—92no—
195#896—92no—
196#892—92no—
197#883—92no—
198#883—92no—
199#67⋊C4—92no—
200D3×C22⋊C4—92no—
201D3×C22⋊C4—92no—
202#879—92no—
203#879—92no—
204#879—92no—
205#878—92no—
206#877—92no—
207#872—92no—
208C23×C32—21no—
209C23×C32—21no—
210C23×C32—21no—
211C23×C32—21no—
212C23×C32—21no—
213C23×C32—21no—
214C23×C32—41no—
215C23×C32—41no—
216C23×C32C22×D311yescharacteristic
217C23×C32C22×D311yescharacteristic
218C23×C32C22×D311yescharacteristic
219C23×C32C22×D311yescharacteristic
220C23×C32C22×D311yescharacteristic
221C23×C32C22×D311yescharacteristic
222C22×C3⋊D3—24no—
223C22×C3⋊D3—41no—
224C22×C3⋊D3C22×D312yes—
225C22×C3×D3—32no—
226C22×C3×D3—32no—
227C22×C3×D3—62no—
228C22×C3×D3—64no—
229C22×C3×D3—64no—
230C22×C3×D3—124no—
231C22×C3×D3—121no—
232C22×C3×D3—121no—
233C22×C3×D3—122no—
234C32×D4—41no—
235C32×D4—41no—
236C32×D4—41no—
237C32×D4—42no—
238C32×D4—42no—
239C32×D4—42no—
240C32×D4—44no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4—41no—
245C2×C32×C4C22×D311yescharacteristic
246C2×C32×C4C22×D311yescharacteristic
247C2×C32×C4C22×D311yescharacteristic
248#638—24no—
249C2×C3⋊Dic3—41no—
250C2×C3⋊Dic3C22×D312yes—
251C2×C3⋊Dic3C22×D312yes—
252C2×C3⋊Dic3C22×D312yes—
253C2×C3⋊Dic3C22×D312yes—
254C2×C3⋊Dic3C22×D312yes—
255#634—41no—
256C3×#67—64no—
257C3×#67—64no—
258C3×#67—124no—
259C2×C3×Dic3—32no—
260C2×C3×Dic3—32no—
261C2×C3×Dic3—32no—
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—32no—
269C2×C3×Dic3—62no—
270C2×C3×Dic3—62no—
271C2×C3×Dic3—62no—
272C2×C3×Dic3—62no—
273C2×C3×Dic3—62no—
274C2×C3×Dic3—121no—
275C2×C3×Dic3—121no—
276C2×C3×Dic3—122no—
277C3×Dic6—121no—
278C3×Dic6—121no—
279C3×Dic6—122no—
280#624—64no—
281#624—122no—
282D3×Dic3—64no—
283D3×Dic3—64no—
284D3×Dic3—122no—
285D3×Dic3—122no—
286#551—271noSylow
287C2×C33—41no—
288C2×C33—41no—
289C2×C33C2×#4112yes—
290C2×C33H(5,𝔽2)11yescharacteristic
291C3×C3⋊D3—24no—
292C24×C3—91no—
293C23×D3—31no—
294C23×D3—31no—
295C23×D3—61no—
296C2×C3×Q8—91no—
297C2×C3×D4—21no—
298C2×C3×D4—21no—
299C2×C3×D4—21no—
300C2×C3×D4—41no—
301C2×C3×D4—92no—
302C2×C3×D4D3211yescharacteristic
303C2×C3×D4D3211yescharacteristic
304C2×C3×D4D3211yescharacteristic
305C22×C3×C4—91no—
306C2×#67—32no—
307C2×#67—32no—
308C2×#67—62no—
309C22×Dic3—31no—
310C22×Dic3—31no—
311C22×Dic3—61no—
312C22×Dic3—92no—
313C22×Dic3—92no—
314C2×C4×D3—92no—
315C2×C4×D3—92no—
316C2×C4×D3—92no—
317C2×C4×D3—92no—
318C2×Dic6—31no—
319C2×Dic6—31no—
320C2×Dic6—61no—
321C3×C4⋊C4—92no—
322C3×C22⋊C4—91no—
323C3×C22⋊C4—92no—
324C3×C22⋊C4—92no—
325C3×C22⋊C4—92no—
326C3×C22⋊C4—91no—
327C3×C22⋊C4—92no—
328C3×C42—91no—
329#217—31no—
330#217—31no—
331#217—32no—
332#217—32no—
333#217—32no—
334#217—32no—
335#217—31no—
336#217—32no—
337#217—32no—
338#217—31no—
339#217—62no—
340#217—61no—
341#217—62no—
342#217—62no—
343#217—61no—
344#217—92no—
345#217—92no—
346(C2×D3)⋊C4—32no—
347(C2×D3)⋊C4—32no—
348(C2×D3)⋊C4—62no—
349(C2×D3)⋊C4—92no—
350(C2×D3)⋊C4—92no—
351(C2×D3)⋊C4—92no—
352(C2×D3)⋊C4—92no—
353C4⋊Dic3—92no—
354C4⋊Dic3—92no—
355C4⋊Dic3—92no—
356Dic3⋊C4—32no—
357Dic3⋊C4—32no—
358Dic3⋊C4—62no—
359Dic3⋊C4—92no—
360Dic3⋊C4—92no—
361Dic3⋊C4—92no—
362Dic3⋊C4—92no—
363Dic3⋊C4—92no—
364Dic3⋊C4—92no—
365C4×Dic3—31no—
366C4×Dic3—31no—
367C4×Dic3—61no—
368C4×Dic3—92no—
369C4×Dic3—92no—
370C4×Dic3—92no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32—22no—
374C22×C32—22no—
375C22×C32—22no—
376C22×C32—22no—
377C22×C32—21no—
378C22×C32—21no—
379C22×C32—21no—
380C22×C32—21no—
381C22×C32—22no—
382C22×C32—22no—
383C22×C32—22no—
384C22×C32—22no—
385C22×C32—21no—
386C22×C32—21no—
387C22×C32—21no—
388C22×C32—41no—
389C22×C32—41no—
390C22×C32—41no—
391C22×C32—41no—
392C22×C32—41no—
393C22×C32—42no—
394C22×C32—42no—
395C22×C32—42no—
396C22×C32—42no—
397C22×C32—42no—
398C22×C32—42no—
399C22×C32—42no—
400C22×C32—42no—
401C22×C32—82no—
402C22×C32—82no—
403C22×C32C23×D311yescharacteristic
404C22×C32C23×D311yescharacteristic
405C22×C32C23×D311yescharacteristic
406C2×C3⋊D3—22no—
407C2×C3⋊D3—22no—
408C2×C3⋊D3—44no—
409C2×C3⋊D3#23714yes—
410C2×C3×D3—34no—
411C2×C3×D3—34no—
412C2×C3×D3—64no—
413C2×C3×D3—62no—
414C2×C3×D3—62no—
415C2×C3×D3—62no—
416C2×C3×D3—62no—
417C2×C3×D3—122no—
418C2×C3×D3—122no—
419C2×C3×D3—124no—
420C2×C3×D3—124no—
421C2×C3×D3—128no—
422C32×C4—21no—
423C32×C4—22no—
424C32×C4—21no—
425C32×C4—21no—
426C32×C4—41no—
427C32×C4—41no—
428C32×C4—42no—
429C3⋊Dic3—22no—
430C3⋊Dic3—22no—
431C3⋊Dic3—22no—
432C3⋊Dic3—22no—
433C3⋊Dic3—22no—
434C3×Dic3—62no—
435C3×Dic3—62no—
436C3×Dic3—62no—
437C3×Dic3—62no—
438C3×Dic3—62no—
439C3×Dic3—62no—
440C3×Dic3—62no—
441C3×Dic3—62no—
442C3×Dic3—62no—
443C3×Dic3—62no—
444C3×Dic3—122no—
445C3×Dic3—122no—
446C3×Dic3—122no—
447C3×Dic3—122no—
448C3×Dic3—122no—
449#126—272no—
450#124—91no—
451#123—91no—
452#123—272no—
453C22⋊Q8—272no—
454#120—91no—
455C4×D4—272no—
456#117—272no—
457C2×C22⋊C4—272no—
458C33#55111yescharacteristic, complemented, Sylow
459C23×C3—21no—
460C23×C3—21no—
461C23×C3—21no—
462C23×C3—21no—
463C23×C3—21no—
464C23×C3—21no—
465C23×C3—41no—
466C23×C3—41no—
467C23×C3—92no—
468C23×C3—184no—
469C23×C3—361no—
470C23×C3C2×D3211yescharacteristic
471C23×C3C2×D3211yescharacteristic
472C23×C3C2×D3211yescharacteristic
473C23×C3C2×D3211yescharacteristic
474C23×C3C2×D3211yescharacteristic
475C23×C3C2×D3211yescharacteristic
476C22×D3—32no—
477C22×D3—32no—
478C22×D3—62no—
479C22×D3—64no—
480C22×D3—64no—
481C22×D3—124no—
482C22×D3—121no—
483C22×D3—121no—
484C22×D3—122no—
485C3×Q8—361no—
486C3×D4—41no—
487C3×D4—41no—
488C3×D4—41no—
489C3×D4—42no—
490C3×D4—42no—
491C3×D4—42no—
492C3×D4—44no—
493C3×D4—184no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—41no—
498C2×C3×C4—92no—
499C2×C3×C4—92no—
500C2×C3×C4—92no—
501C2×C3×C4—92no—
502C2×C3×C4—92no—
503C2×C3×C4—361no—
504C2×C3×C4C2×D3211yescharacteristic
505C2×C3×C4C2×D3211yescharacteristic
506C2×C3×C4C2×D3211yescharacteristic
507#67—64no—
508#67—64no—
509#67—124no—
510C2×Dic3—32no—
511C2×Dic3—32no—
512C2×Dic3—32no—
513C2×Dic3—32no—
514C2×Dic3—32no—
515C2×Dic3—32no—
516C2×Dic3—32no—
517C2×Dic3—32no—
518C2×Dic3—32no—
519C2×Dic3—32no—
520C2×Dic3—62no—
521C2×Dic3—62no—
522C2×Dic3—62no—
523C2×Dic3—62no—
524C2×Dic3—62no—
525C2×Dic3—121no—
526C2×Dic3—121no—
527C2×Dic3—122no—
528C2×Dic3—184no—
529C2×Dic3—362no—
530C4×D3—184no—
531C4×D3—184no—
532C4×D3—362no—
533C4×D3—362no—
534Dic6—121no—
535Dic6—121no—
536Dic6—122no—
537C2×C32—22no—
538C2×C32—22no—
539C2×C32—22no—
540C2×C32—21no—
541C2×C32—21no—
542C2×C32—21no—
543C2×C32—42no—
544C2×C32—41no—
545C2×C32—41no—
546C2×C32—41no—
547C2×C32—42no—
548C2×C32—42no—
549C2×C32—41no—
550C2×C32—41no—
551C2×C32—41no—
552C2×C32—41no—
553C2×C32—81no—
554C2×C32—81no—
555C2×C32—81no—
556C2×C32—81no—
557C2×C32—82no—
558C2×C32—82no—
559C2×C32C2×#23712yes—
560C2×C32#100411yescharacteristic
561C2×C32#100411yescharacteristic
562C2×C32#100411yescharacteristic
563C2×C32D3×#4112yes—
564C2×C32D3×#4112yes—
565C3⋊D3—24no—
566C3×D3—64no—
567C3×D3—64no—
568C3×D3—124no—
569C24—91no—
570C2×Q8—91no—
571C2×D4—92no—
572C2×D4#111311yescharacteristic
573C22×C4—91no—
574C22×C4—272no—
575C22×C4—272no—
576C4⋊C4—92no—
577C4⋊C4—272no—
578C4⋊C4—272no—
579C4⋊C4—272no—
580C22⋊C4—92no—
581C22⋊C4—92no—
582C22⋊C4—92no—
583C22⋊C4—91no—
584C22⋊C4—91no—
585C22⋊C4—92no—
586C22⋊C4—272no—
587C22⋊C4—272no—
588C42—91no—
589C42—272no—
590C22×C3—22no—
591C22×C3—22no—
592C22×C3—22no—
593C22×C3—22no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—22no—
598C22×C3—21no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—42no—
608C22×C3—42no—
609C22×C3—42no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—42no—
615C22×C3—42no—
616C22×C3—42no—
617C22×C3—42no—
618C22×C3—42no—
619C22×C3—41no—
620C22×C3—82no—
621C22×C3—82no—
622C22×C3—94no—
623C22×C3—182no—
624C22×C3—182no—
625C22×C3—364no—
626C22×C3C22×D3211yescharacteristic
627C22×C3C22×D3211yescharacteristic
628C22×C3C22×D3211yescharacteristic
629C2×D3—34no—
630C2×D3—34no—
631C2×D3—64no—
632C2×D3—62no—
633C2×D3—62no—
634C2×D3—62no—
635C2×D3—62no—
636C2×D3—122no—
637C2×D3—122no—
638C2×D3—124no—
639C2×D3—124no—
640C2×D3—128no—
641C3×C4—22no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—42no—
648C3×C4—182no—
649C3×C4—182no—
650C3×C4—182no—
651C3×C4—182no—
652C3×C4—182no—
653Dic3—62no—
654Dic3—62no—
655Dic3—62no—
656Dic3—62no—
657Dic3—62no—
658Dic3—62no—
659Dic3—62no—
660Dic3—62no—
661Dic3—62no—
662Dic3—62no—
663Dic3—122no—
664Dic3—122no—
665Dic3—122no—
666Dic3—122no—
667Dic3—122no—
668C32—21no—
669C32—21no—
670C32—21no—
671C32—41no—
672C32#558711yescharacteristic, complemented
673C32#565911yescharacteristic, complemented
674C32#567911yescharacteristic, complemented
675C23—92no—
676C23—184no—
677C23—361no—
678C23C2×#111311yescharacteristic
679C23C2×#111311yescharacteristic
680Q8—361no—
681D4—41no—
682D4—184no—
683C2×C4—92no—
684C2×C4—92no—
685C2×C4—92no—
686C2×C4—92no—
687C2×C4—92no—
688C2×C4—361no—
689C2×C4—544no—
690C2×C4—1082no—
691C2×C4C2×#111311yescharacteristic
692C2×C3—22no—
693C2×C3—22no—
694C2×C3—22no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—42no—
699C2×C3—42no—
700C2×C3—41no—
701C2×C3—41no—
702C2×C3—41no—
703C2×C3—41no—
704C2×C3—41no—
705C2×C3—41no—
706C2×C3—42no—
707C2×C3—41no—
708C2×C3—81no—
709C2×C3—81no—
710C2×C3—81no—
711C2×C3—81no—
712C2×C3—82no—
713C2×C3—82no—
714C2×C3—184no—
715C2×C3D3×#23712yes—
716C2×C3D3×#23712yes—
717C2×C3#6431212yes—
718C2×C3#6433011yescharacteristic
719C2×C3#6433011yescharacteristic
720C2×C3#6433011yescharacteristic
721D3—64no—
722D3—64no—
723D3—124no—
724C22—22no—
725C22—22no—
726C22—21no—
727C22—21no—
728C22—94no—
729C22—182no—
730C22—182no—
731C22—364no—
732C22C22×#111311yescharacteristic
733C4—21no—
734C4—182no—
735C4—182no—
736C4—182no—
737C4—182no—
738C4—182no—
739C3—21no—
740C3—21no—
741C3—21no—
742C3—41no—
743C3#1059517611yescharacteristic, complemented
744C3#1059517811yescharacteristic, complemented
745C3#1059520811yescharacteristic, complemented
746C2—41no—
747C2—41no—
748C2—184no—
749C2#1172462212yes—
750C2#1172463311yescharacteristic
subgroupG/H
center, FrattiniC22C22×#1113
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
prime radicalC3×#64146C2
hypercenterC2×D4#1113
hypocenterC33#551
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
2. C3×#64145C2semidirect
3. C3×#64144C2semidirect
4. #11723726C2semidirect
5. #11723724C2semidirect
6. #11723723C2semidirect
7. #11723716C2semidirect
8. #11723688C2semidirect
9. #11723683C2semidirect
16. C22×C3×C3⋊Dic3C22semidirect
17. C2×C3×#634C22semidirect
23. C3×#3757C22semidirect
24. C3×#3757C22semidirect
26. C3×#3750C22semidirect
27. C3×C4×C3⋊Dic3C22semidirect
28. #88815C22semidirect
29. #88815C22semidirect
30. #88815C22semidirect
33. #88813C22semidirect
35. #64145D3semidirect
36. #64144D3semidirect
96. C22×C3⋊Dic3C2×D3semidirect
97. C2×#634C2×D3semidirect
116. #3757C2×D3semidirect
117. #3757C2×D3semidirect
119. #3750C2×D3semidirect
120. C4×C3⋊Dic3C2×D3semidirect
458. C33#551semidirect
672. C32#5587semidirect
673. C32#5659semidirect
674. C32#5679semidirect
743. C3#10595176semidirect
744. C3#10595178semidirect
745. C3#10595208semidirect

Maximal subgroups

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

subgroupindex
C3×#641462
C3×#641452
C3×#641442
#117237262
#117237242
#117237232
#117237162
#117236882
#117236832
#105952083
#105951783
#105951763