Finite Group Databasebeta

← #13178267

Subgroups — #13178267

Order 1728.

1396 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6296C211yesmaximal, characteristic, complemented
2C2×#89040C211yesmaximal, characteristic, complemented
3C3×#64090C211yesmaximal, characteristic
4C3×#64087C212yesmaximal, complemented
5#11723726C212yesmaximal
6#11723721C211yesmaximal, characteristic, complemented
7C4⋊#6296C211yesmaximal, characteristic, complemented
8#11723692C212yesmaximal, complemented
9#11723671C211yesmaximal, characteristic, complemented
10#11723666C212yesmaximal, complemented
11#11723665C211yesmaximal, characteristic, complemented
12#10594072—31nomaximal
13#10594071—32nomaximal
14C2×C3×#638C2211yescharacteristic
15C22×C3×C3⋊Dic3C2212yes—
16C22×C3×C3⋊Dic3C2211yescharacteristic
17C2×C3×C4×C3⋊D3C2211yescharacteristic
18C2×C3×#634C2212yes—
19C2×#6296—24no—
20C2×#6296C2211yescharacteristic
21C2×#6296C2212yes—
22C2×#6296C2211yescharacteristic
23C2×#6296C2211yescharacteristic
24C2×#6294C2212yes—
25#89040—24no—
26C33×C22⋊C4C2211yescharacteristic
27C3×#3757C2212yes—
28C3×#3752C2211yescharacteristic
29C3×C4⋊(C3⋊Dic3)C2212yes—
30C3×#3750C2212yes—
31C3×#3750C2212yes—
32C3×#3750C2211yescharacteristic
33C3×C4×C3⋊Dic3C2211yescharacteristic
34#88815C2211yescharacteristic
35#88815C2212yes—
36#88815C2212yes—
37#88814C2212yes—
38#88813C2212yes—
39C22×#627—32no—
40C22×#627—31no—
41C2×#3797—31no—
42C2×D3×Dic6—32no—
43#64090D311yescharacteristic
44#64087D312yescomplemented
45C3×#67⋊C4—32no—
46C3×#67⋊C4—61no—
47C3×#878—32no—
48C3×#878—32no—
49C3×#878—62no—
50#63982—31no—
51#67⋊Dic3—32no—
52Dic3×#67—32no—
53#63964—32no—
54#63952—32no—
55#63919—31no—
56#63918—32no—
57#63899—32no—
58#63895—32no—
59#63893—32no—
60#63865—31no—
61#63851—32no—
62#63840—32no—
63#63839—32no—
64#63839—32no—
65#63838—31no—
66#63837—32no—
67C23×C33C2311yescharacteristic
68C22×C3×C3⋊D3C2311yescharacteristic
69C2×C33×C4C2311yescharacteristic
70C2×C33×C4C2311yescharacteristic
71C3×#638Q814yescomplemented
72C2×C3×C3⋊Dic3—24no—
73C2×C3×C3⋊Dic3—22no—
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2312yes—
76C2×C3×C3⋊Dic3C2311yescharacteristic
77C2×C3×C3⋊Dic3C2312yes—
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C2×C3×C3⋊Dic3C2312yes—
80C2×C3×C3⋊Dic3C2311yescharacteristic
81C3×C4×C3⋊D3—22no—
82C3×#634—24no—
83#6296—22no—
84#6296—24no—
85#6296—22no—
86#6296D414yescomplemented
87#6294—24no—
88#5632—92no—
89D4×Dic6—91no—
90C2×#638C2×D311yescharacteristic
91C22×C3⋊Dic3C2×D312yes—
92C22×C3⋊Dic3C2×D311yescharacteristic
93C2×C4×C3⋊D3C2×D311yescharacteristic
94C2×#634C2×D312yes—
95C2×C3×#67—32no—
96C2×C3×#67—61no—
97C22×C3×Dic3—32no—
98C22×C3×Dic3—32no—
99C22×C3×Dic3—32no—
100C22×C3×Dic3—62no—
101C22×C3×Dic3—61no—
102C2×C3×C4×D3—32no—
103C2×C3×C4×D3—61no—
104C2×C3×Dic6—32no—
105C2×C3×Dic6—32no—
106C2×C3×Dic6—62no—
107C2×#627—32no—
108C2×#627—31no—
109C2×#627—32no—
110C2×#627—31no—
111C2×#627—32no—
112C2×#627—32no—
113C2×#627—32no—
114C2×#627—32no—
115C2×#627—31no—
116C2×#627—68no—
117C2×#627—64no—
118C2×#624—32no—
119C2×D3×Dic3—32no—
120C2×D3×Dic3—32no—
121#3797—64no—
122D3×Dic6—68no—
123C32×C22⋊C4—22no—
124C32×C22⋊C4—21no—
125C32×C22⋊C4—41no—
126C32×C22⋊C4C2×D311yescharacteristic
127C32×C22⋊C4C2×D312yes—
128#3757C2×D312yes—
129#3752C2×D311yescharacteristic
130C4⋊(C3⋊Dic3)C2×D312yes—
131#3750C2×D312yes—
132#3750C2×D312yes—
133#3750C2×D311yescharacteristic
134C4×C3⋊Dic3C2×D311yescharacteristic
135C3×#217—32no—
136C3×#217—32no—
137C3×#217—62no—
138C3×(C2×D3)⋊C4—32no—
139C3×(C2×D3)⋊C4—61no—
140C3×C4⋊Dic3—32no—
141C3×C4⋊Dic3—32no—
142C3×C4⋊Dic3—62no—
143C3×Dic3⋊C4—32no—
144C3×Dic3⋊C4—32no—
145C3×Dic3⋊C4—32no—
146C3×Dic3⋊C4—32no—
147C3×Dic3⋊C4—32no—
148C3×Dic3⋊C4—62no—
149C3×Dic3⋊C4—62no—
150C3×Dic3⋊C4—61no—
151C3×C4×Dic3—32no—
152C3×C4×Dic3—61no—
153#3724—31no—
154#3724—32no—
155#3724—32no—
156Dic3⋊Dic3—32no—
157Dic3⋊Dic3—32no—
158Dic3⋊Dic3—32no—
159Dic3⋊Dic3—32no—
160Dic3⋊Dic3—32no—
161#3722—32no—
162(C2×D3)⋊Dic3—32no—
163(C2×D3)⋊Dic3—32no—
164Dic32—32no—
165Dic32—32no—
166Dic32—32no—
167C22×C33—21no—
168C22×C33—21no—
169C22×C33C2×Q812yescomplemented
170C22×C33C2411yescharacteristic
171C2×C3×C3⋊D3—21no—
172C2×C3×C3⋊D3—21no—
173C2×C3×C3⋊D3C2×Q812yescomplemented
174C33×C4—21no—
175C33×C4—21no—
176C3×C3⋊Dic3—22no—
177C3×C3⋊Dic3—22no—
178C3×C3⋊Dic3—21no—
179C3×C3⋊Dic3—22no—
180C3×C3⋊Dic3C2×D414yes—
181C3×C3⋊Dic3C2×D412yes—
182C3×C3⋊Dic3C2×Q812yescomplemented
183C2×D3×Q8—92no—
184C22×Dic6—91no—
185C22×Dic6—92no—
186C22×Dic6—91no—
187C3×C22⋊Q8—92no—
188C3×C4×D4—91no—
189#944—92no—
190D4×Dic3—92no—
191C4×#67—92no—
192#924—91no—
193#924—91no—
194#897—92no—
195#896—92no—
196#896—92no—
197#888—92no—
198#888—92no—
199#888—92no—
200#887—92no—
201#67⋊C4—32no—
202#67⋊C4—61no—
203#67⋊C4—92no—
204#878—32no—
205#878—32no—
206#878—62no—
207#878—92no—
208#878—92no—
209#869—91no—
210C4×Dic6—91no—
211C23×C32—22no—
212C23×C32—21no—
213C23×C32—41no—
214C23×C32C22×D311yescharacteristic
215C23×C32C22×D312yes—
216C22×C3⋊D3C22×D311yescharacteristic
217C22×C3×D3—32no—
218C22×C3×D3—61no—
219C2×C32×C4—21no—
220C2×C32×C4—22no—
221C2×C32×C4—22no—
222C2×C32×C4—21no—
223C2×C32×C4—41no—
224C2×C32×C4—41no—
225C2×C32×C4C22×D312yes—
226C2×C32×C4C22×D311yescharacteristic
227C2×C32×C4C22×D311yescharacteristic
228C2×C32×C4C22×D312yes—
229#638Dic614yescomplemented
230C2×C3⋊Dic3—24no—
231C2×C3⋊Dic3—22no—
232C2×C3⋊Dic3C22×D312yes—
233C2×C3⋊Dic3C22×D312yes—
234C2×C3⋊Dic3C22×D311yescharacteristic
235C2×C3⋊Dic3C22×D312yes—
236C2×C3⋊Dic3C22×D311yescharacteristic
237C2×C3⋊Dic3C22×D312yes—
238C2×C3⋊Dic3C22×D311yescharacteristic
239C4×C3⋊D3—22no—
240#634—24no—
241C3×#67—38no—
242C3×#67—64no—
243C2×C3×Dic3—32no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—32no—
247C2×C3×Dic3—32no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—32no—
250C2×C3×Dic3—32no—
251C2×C3×Dic3—32no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—32no—
254C2×C3×Dic3—61no—
255C2×C3×Dic3—61no—
256C2×C3×Dic3—62no—
257C2×C3×Dic3—62no—
258C2×C3×Dic3—62no—
259C2×C3×Dic3—61no—
260C2×C3×Dic3—62no—
261C2×C3×Dic3—64no—
262C2×C3×Dic3—64no—
263C2×C3×Dic3—64no—
264C2×C3×Dic3—124no—
265C2×C3×Dic3—122no—
266C3×C4×D3—64no—
267C3×C4×D3—122no—
268C3×Dic6—64no—
269C3×Dic6—64no—
270C3×Dic6—124no—
271#627—38no—
272#627—34no—
273#627—64no—
274#627—64no—
275#627—64no—
276#627—64no—
277#627—62no—
278#627—64no—
279#627—62no—
280#624—64no—
281D3×Dic3—64no—
282D3×Dic3—64no—
283D4×Q8—271noSylow
284C2×C33—22no—
285C2×C33C22×D411yescharacteristic
286C2×C33C22×Q811yescharacteristic
287C2×C332−1+411yescharacteristic
288C3×C3⋊D3—22no—
289C2×C3×Q8—92no—
290C2×C3×D4—91no—
291C22×C3×C4—91no—
292C22×C3×C4—92no—
293C22×C3×C4—91no—
294C2×#67—32no—
295C2×#67—61no—
296C22×Dic3—32no—
297C22×Dic3—32no—
298C22×Dic3—32no—
299C22×Dic3—62no—
300C22×Dic3—61no—
301C22×Dic3—92no—
302D3×Q8—188no—
303C2×C4×D3—32no—
304C2×C4×D3—61no—
305C2×C4×D3—92no—
306C2×C4×D3—92no—
307C2×Dic6—32no—
308C2×Dic6—32no—
309C2×Dic6—62no—
310C2×Dic6—91no—
311C2×Dic6—92no—
312C2×Dic6—91no—
313C2×Dic6—91no—
314C2×Dic6—92no—
315C2×Dic6—92no—
316C2×Dic6—92no—
317C2×Dic6—92no—
318C2×Dic6—92no—
319C2×Dic6—184no—
320C2×Dic6—184no—
321C2×Dic6—188no—
322C3×C4⋊C4—92no—
323C3×C4⋊C4—91no—
324C3×C4⋊C4—92no—
325C3×C4⋊C4—92no—
326C3×C22⋊C4—22no—
327C3×C22⋊C4—21no—
328C3×C22⋊C4—41no—
329C3×C22⋊C4—92no—
330C3×C22⋊C4—91no—
331C3×C22⋊C4D3211yescharacteristic
332C3×C22⋊C4D3212yes—
333C3×C42—91no—
334#217—32no—
335#217—32no—
336#217—62no—
337#217—92no—
338(C2×D3)⋊C4—32no—
339(C2×D3)⋊C4—61no—
340(C2×D3)⋊C4—92no—
341(C2×D3)⋊C4—92no—
342C4⋊Dic3—32no—
343C4⋊Dic3—32no—
344C4⋊Dic3—62no—
345C4⋊Dic3—91no—
346C4⋊Dic3—92no—
347C4⋊Dic3—92no—
348Dic3⋊C4—32no—
349Dic3⋊C4—32no—
350Dic3⋊C4—32no—
351Dic3⋊C4—32no—
352Dic3⋊C4—32no—
353Dic3⋊C4—62no—
354Dic3⋊C4—62no—
355Dic3⋊C4—61no—
356Dic3⋊C4—92no—
357Dic3⋊C4—92no—
358Dic3⋊C4—92no—
359Dic3⋊C4—92no—
360Dic3⋊C4—92no—
361C4×Dic3—32no—
362C4×Dic3—61no—
363C4×Dic3—92no—
364C4×Dic3—92no—
365C4×Dic3—92no—
366C22×C32—22no—
367C22×C32—21no—
368C22×C32—22no—
369C22×C32—21no—
370C22×C32—22no—
371C22×C32—21no—
372C22×C32—24no—
373C22×C32—22no—
374C22×C32—41no—
375C22×C32—42no—
376C22×C32—42no—
377C22×C32—41no—
378C22×C32—42no—
379C22×C32—41no—
380C22×C32—81no—
381C22×C32—81no—
382C22×C32C2×Dic612yescomplemented
383C22×C32D3×Q814yescomplemented
384C22×C32C23×D311yescharacteristic
385C22×C32C23×D312yes—
386C2×C3⋊D3—21no—
387C2×C3⋊D3—21no—
388C2×C3⋊D3C2×Dic612yescomplemented
389C2×C3×D3—34no—
390C2×C3×D3—62no—
391C2×C3×D3—62no—
392C2×C3×D3—62no—
393C2×C3×D3—121no—
394C2×C3×D3—121no—
395C32×C4—21no—
396C32×C4—22no—
397C32×C4—22no—
398C32×C4—21no—
399C32×C4—42no—
400C32×C4—41no—
401C32×C4—42no—
402C32×C4—41no—
403C32×C4—81no—
404C32×C4—81no—
405C3⋊Dic3—22no—
406C3⋊Dic3—22no—
407C3⋊Dic3—21no—
408C3⋊Dic3—22no—
409C3⋊Dic3C2×Dic612yescomplemented
410C3⋊Dic3D3×D414yes—
411C3⋊Dic3D3×D412yes—
412C3×Dic3—34no—
413C3×Dic3—34no—
414C3×Dic3—34no—
415C3×Dic3—34no—
416C3×Dic3—64no—
417C3×Dic3—62no—
418C3×Dic3—62no—
419C3×Dic3—62no—
420C3×Dic3—62no—
421C3×Dic3—62no—
422C3×Dic3—62no—
423C3×Dic3—62no—
424C3×Dic3—62no—
425C3×Dic3—62no—
426C3×Dic3—122no—
427C3×Dic3—122no—
428C3×Dic3—122no—
429C3×Dic3—121no—
430C22×Q8—271no—
431C22×Q8—271no—
432C4⋊Q8—271no—
433C4⋊Q8—272no—
434C22⋊Q8—92no—
435C22⋊Q8—271no—
436C22⋊Q8—272no—
437C22⋊Q8—271no—
438C4×Q8—271no—
439C4×D4—91no—
440C4×D4—272no—
441C33D4×Q811yescharacteristic, complemented, Sylow
442C23×C3—22no—
443C23×C3—21no—
444C23×C3—41no—
445C23×C3—91no—
446C23×C3C2×D3212yes—
447C23×C3C2×D3211yescharacteristic
448C22×D3—32no—
449C22×D3—61no—
450C3×Q8—184no—
451C3×D4—94no—
452C2×C3×C4—21no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—21no—
456C2×C3×C4—41no—
457C2×C3×C4—41no—
458C2×C3×C4—91no—
459C2×C3×C4—92no—
460C2×C3×C4—91no—
461C2×C3×C4—92no—
462C2×C3×C4—91no—
463C2×C3×C4—92no—
464C2×C3×C4—92no—
465C2×C3×C4—182no—
466C2×C3×C4—182no—
467C2×C3×C4—184no—
468C2×C3×C4C2×D3212yes—
469C2×C3×C4C2×D3211yescharacteristic
470C2×C3×C4C2×D3211yescharacteristic
471C2×C3×C4C2×D3212yes—
472#67—38no—
473#67—64no—
474C2×Dic3—32no—
475C2×Dic3—32no—
476C2×Dic3—32no—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—32no—
480C2×Dic3—32no—
481C2×Dic3—32no—
482C2×Dic3—32no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—61no—
486C2×Dic3—61no—
487C2×Dic3—62no—
488C2×Dic3—62no—
489C2×Dic3—62no—
490C2×Dic3—61no—
491C2×Dic3—62no—
492C2×Dic3—64no—
493C2×Dic3—64no—
494C2×Dic3—64no—
495C2×Dic3—124no—
496C2×Dic3—122no—
497C2×Dic3—184no—
498C4×D3—64no—
499C4×D3—122no—
500C4×D3—184no—
501C4×D3—184no—
502Dic6—64no—
503Dic6—64no—
504Dic6—94no—
505Dic6—98no—
506Dic6—124no—
507Dic6—184no—
508Dic6—184no—
509Dic6—184no—
510Dic6—184no—
511Dic6—182no—
512Dic6—182no—
513Dic6—184no—
514C2×C32—24no—
515C2×C32—22no—
516C2×C32—22no—
517C2×C32—21no—
518C2×C32—22no—
519C2×C32—21no—
520C2×C32—22no—
521C2×C32—21no—
522C2×C32—41no—
523C2×C32—41no—
524C2×C32—41no—
525C2×C32—44no—
526C2×C32—42no—
527C2×C32—82no—
528C2×C32C22×Dic611yescharacteristic
529C2×C32C2×D3×D412yes—
530C2×C32C2×D3×D411yescharacteristic
531C2×C32C2×D3×Q812yes—
532C2×C32#101012yes—
533C2×C32#101011yescharacteristic
534C3⋊D3—22no—
535C3×D3—64no—
536C3×D3—122no—
537C2×Q8—92no—
538C2×Q8—271no—
539C2×Q8—271no—
540C2×Q8—271no—
541C2×Q8—272no—
542C2×Q8—544no—
543C2×Q8—544no—
544C2×D4—91no—
545C22×C4—91no—
546C22×C4—92no—
547C22×C4—91no—
548C22×C4—272no—
549C4⋊C4—91no—
550C4⋊C4—92no—
551C4⋊C4—92no—
552C4⋊C4—92no—
553C4⋊C4—272no—
554C4⋊C4—271no—
555C4⋊C4—272no—
556C22⋊C4—92no—
557C22⋊C4—91no—
558C22⋊C4—272no—
559C22⋊C4#111311yescharacteristic
560C42—91no—
561C42—272no—
562C22×C3—22no—
563C22×C3—21no—
564C22×C3—22no—
565C22×C3—21no—
566C22×C3—22no—
567C22×C3—21no—
568C22×C3—22no—
569C22×C3—24no—
570C22×C3—42no—
571C22×C3—41no—
572C22×C3—42no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—42no—
576C22×C3—81no—
577C22×C3—81no—
578C22×C3—92no—
579C22×C3—181no—
580C22×C3—181no—
581C22×C3D3×Dic614yescomplemented
582C22×C3#379712yescomplemented
583C22×C3C22×D3212yes—
584C22×C3C22×D3211yescharacteristic
585C2×D3—34no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—121no—
590C2×D3—121no—
591C3×C4—22no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—22no—
595C3×C4—42no—
596C3×C4—41no—
597C3×C4—42no—
598C3×C4—41no—
599C3×C4—81no—
600C3×C4—81no—
601C3×C4—92no—
602C3×C4—92no—
603C3×C4—94no—
604C3×C4—182no—
605C3×C4—182no—
606C3×C4—181no—
607C3×C4—182no—
608Dic3—34no—
609Dic3—34no—
610Dic3—34no—
611Dic3—34no—
612Dic3—64no—
613Dic3—62no—
614Dic3—62no—
615Dic3—62no—
616Dic3—62no—
617Dic3—62no—
618Dic3—62no—
619Dic3—62no—
620Dic3—62no—
621Dic3—62no—
622Dic3—122no—
623Dic3—122no—
624Dic3—121no—
625Dic3—122no—
626C32—22no—
627C32—21no—
628C32—41no—
629C32D4×Dic611yescharacteristic, complemented
630C32#563212yescomplemented
631C23—91no—
632C23C2×#111311yescharacteristic
633Q8—184no—
634Q8—274no—
635Q8—542no—
636Q8—542no—
637Q8—544no—
638D4—94no—
639C2×C4—91no—
640C2×C4—91no—
641C2×C4—92no—
642C2×C4—92no—
643C2×C4—91no—
644C2×C4—92no—
645C2×C4—92no—
646C2×C4—182no—
647C2×C4—182no—
648C2×C4—184no—
649C2×C4—544no—
650C2×C4C2×#111311yescharacteristic
651C2×C4C2×#111311yescharacteristic
652C2×C3—24no—
653C2×C3—22no—
654C2×C3—21no—
655C2×C3—22no—
656C2×C3—22no—
657C2×C3—21no—
658C2×C3—22no—
659C2×C3—21no—
660C2×C3—42no—
661C2×C3—44no—
662C2×C3—41no—
663C2×C3—41no—
664C2×C3—41no—
665C2×C3—82no—
666C2×C3—182no—
667C2×C3C2×D3×Dic612yes—
668C2×C3C2×#379711yescharacteristic
669C2×C3#6430912yes—
670C2×C3#6430911yescharacteristic
671C2×C3D32×D412yes—
672C2×C3D32×D411yescharacteristic
673D3—64no—
674D3—122no—
675C22—21no—
676C22—21no—
677C22—92no—
678C22—181no—
679C22—181no—
680C22#8904012yescomplemented
681C22C22×#111311yescharacteristic
682C4—21no—
683C4—21no—
684C4—92no—
685C4—92no—
686C4—94no—
687C4—182no—
688C4—181no—
689C4—182no—
690C4—182no—
691C3—21no—
692C3—22no—
693C3—41no—
694C3#1059407112yescomplemented
695C3#1059407211yescharacteristic, complemented
696C2—22no—
697C2—182no—
698C2C2×#8904011yescharacteristic
699C2#1172462011yescharacteristic
700C2D4×#111311yescharacteristic
subgroupG/H
center, FrattiniC22C22×#1113
commutator, socle, cosocleC22×C33C24
FittingC33×C22⋊C4C22
prime radicalC2×C3×#638C22
hypercenterC22⋊C4#1113
hypocenterC33D4×Q8
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6296C2semidirect
2. C2×#89040C2semidirect
4. C3×#64087C2semidirect
6. #11723721C2semidirect
7. C4⋊#6296C2semidirect
8. #11723692C2semidirect
9. #11723671C2semidirect
10. #11723666C2semidirect
11. #11723665C2semidirect
44. #64087D3semidirect
71. C3×#638Q8semidirect
86. #6296D4semidirect
169. C22×C33C2×Q8semidirect
173. C2×C3×C3⋊D3C2×Q8semidirect
182. C3×C3⋊Dic3C2×Q8semidirect
229. #638Dic6semidirect
382. C22×C32C2×Dic6semidirect
383. C22×C32D3×Q8semidirect
388. C2×C3⋊D3C2×Dic6semidirect
409. C3⋊Dic3C2×Dic6semidirect
441. C33D4×Q8semidirect
581. C22×C3D3×Dic6semidirect
582. C22×C3#3797semidirect
629. C32D4×Dic6semidirect
630. C32#5632semidirect
680. C22#89040semidirect
694. C3#10594071semidirect
695. C3#10594072semidirect

Maximal subgroups

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

subgroupindex
C22×#62962
C2×#890402
C3×#640902
C3×#640872
#117237262
#117237212
C4⋊#62962
#117236922
#117236712
#117236662
#117236652
#105940723
#105940713