Finite Group Databasebeta

← #13175319

Subgroups — #13175319

Order 1728.

1644 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723917C211yesmaximal, characteristic, complemented
2C3×C42×C3⋊D3C211yesmaximal, characteristic, complemented
3C32×#876C211yesmaximal, characteristic, complemented
4#11723520C211yesmaximal, characteristic
5#11723518C211yesmaximal, characteristic, complemented
6#11723512C211yesmaximal, characteristic, complemented
7#11723507C211yesmaximal, characteristic, complemented
8#11723469C211yesmaximal, characteristic, complemented
9#11723461C211yesmaximal, characteristic, complemented
10#11723459C211yesmaximal, characteristic, complemented
11#11723445C211yesmaximal, characteristic, complemented
12#11723419C211yesmaximal, characteristic, complemented
13#11723418C211yesmaximal, characteristic, complemented
14#11723417C211yesmaximal, characteristic, complemented
15#11723390C211yesmaximal, characteristic, complemented
16#10596177—31nomaximal
17#10593975—34nomaximal
18C2×C3×C4×C3⋊D3C2211yescharacteristic
19C2×C3×C4×C3⋊D3C2211yescharacteristic
20C2×C3×C4×C3⋊D3C2211yescharacteristic
21C2×#6293C2211yescharacteristic
22C2×#6292C2211yescharacteristic
23C2×#6291C2211yescharacteristic
24C2×#6290C2211yescharacteristic
25C2×#6289C2211yescharacteristic
26C2×D3×C3⋊Dic3C2211yescharacteristic
27C33×C42C2211yescharacteristic
28#88859C2211yescharacteristic
29#88859C2211yescharacteristic
30#88859C2211yescharacteristic
31#88857C2211yescharacteristic
32#88857C2211yescharacteristic
33#88857C2211yescharacteristic
34C3×C4×C3⋊Dic3C2211yescharacteristic
35C3×C4×C3⋊Dic3C2211yescharacteristic
36C3×C4×C3⋊Dic3C2211yescharacteristic
37C32×(C2×D3)⋊C4C2211yescharacteristic
38C32×(C2×D3)⋊C4C2211yescharacteristic
39C32×(C2×D3)⋊C4C2211yescharacteristic
40C32×Dic3⋊C4C2211yescharacteristic
41C32×Dic3⋊C4C2211yescharacteristic
42C32×Dic3⋊C4C2211yescharacteristic
43#88807C2211yescharacteristic
44#88807C2211yescharacteristic
45#88806C2211yescharacteristic
46Dic3⋊(C3⋊Dic3)C2211yescharacteristic
47#88804C2211yescharacteristic
48#88803C2211yescharacteristic
49#88803C2211yescharacteristic
50(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
51Dic3×C3⋊Dic3C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×#126—31no—
54#64105—31no—
55#64103—31no—
56#64102—31no—
57#64101—31no—
58#64098—31no—
59#64096—31no—
60#64094—31no—
61#64093—31no—
62#64092—31no—
63#64090—31no—
64#64090—31no—
65#64086—31no—
66#64085—31no—
67#64085—34no—
68#64085—64no—
69C42×C3⋊D3D311yescharacteristic, complemented
70C3×#876D314yescomplemented
71C3×C42×D3—34no—
72#63906—34no—
73#63905—34no—
74#63904—34no—
75#63880—34no—
76#63879—34no—
77#63877—34no—
78#63867—34no—
79#63852—34no—
80#63851—34no—
81#63850—34no—
82#63837—34no—
83#63836—34no—
84C22×C3⋊(C3⋊D3)C2311yescharacteristic
85C22×C3×C3⋊D3C2311yescharacteristic
86C22×C32×D3C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88C2×C33×C4C2311yescharacteristic
89C2×C33×C4C2311yescharacteristic
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3×C3⋊Dic3C2311yescharacteristic
94C2×C3×C3⋊Dic3C2311yescharacteristic
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C3×C4×C3⋊D3—22no—
97C3×C4×C3⋊D3—22no—
98C3×C4×C3⋊D3—22no—
99C2×C32×Dic3C2311yescharacteristic
100C2×C32×Dic3C2311yescharacteristic
101C2×C32×Dic3C2311yescharacteristic
102#6293—22no—
103#6292—22no—
104#6291—22no—
105#6290—22no—
106#6289—22no—
107D3×C3⋊Dic3—22no—
108#5706—94no—
109#5479—91no—
110C2×#638—31no—
111C2×#638—31no—
112C22×C3⋊Dic3—31no—
113C2×C4⋊(C3⋊D3)—31no—
114C2×C4×C3⋊D3—31no—
115C2×C4×C3⋊D3C2×D311yescharacteristic
116C2×C4×C3⋊D3C2×D311yescharacteristic
117C2×C4×C3⋊D3C2×D311yescharacteristic
118C2×#634—31no—
119C2×C3×C4×D3—34no—
120C2×C3×C4×D3—34no—
121C2×C3×C4×D3—34no—
122C2×#627—34no—
123C2×#626—34no—
124C2×#626—34no—
125C2×#625—34no—
126C2×#624—34no—
127C2×D3×Dic3—34no—
128C32×C4⋊C4—31no—
129C32×C4⋊C4—31no—
130C32×C4⋊C4—31no—
131C32×C22⋊C4—31no—
132C32×C22⋊C4—31no—
133C32×C22⋊C4—31no—
134C32×C42—24no—
135C32×C42C2×D314yes—
136C32×C42C2×D311yescharacteristic
137#3757—31no—
138#3752—31no—
139#3752—31no—
140#3752—31no—
141#3752—31no—
142#3752—31no—
143#3752—34no—
144#3752—34no—
145#3752—34no—
146#3752—31no—
147#3752—64no—
148#3752—64no—
149#3752—64no—
150C4⋊(C3⋊Dic3)—31no—
151#3750—31no—
152#3750—31no—
153#3750—31no—
154#3750—34no—
155#3750—34no—
156#3750—34no—
157#3750—31no—
158#3750—31no—
159#3750—31no—
160#3750—64no—
161#3750—64no—
162#3750—64no—
163C4×C3⋊Dic3—31no—
164C4×C3⋊Dic3—31no—
165C4×C3⋊Dic3C2×D311yescharacteristic
166C4×C3⋊Dic3C2×D311yescharacteristic
167C4×C3⋊Dic3C2×D311yescharacteristic
168C3×(C2×D3)⋊C4C2×D314yes—
169C3×(C2×D3)⋊C4C2×D314yes—
170C3×(C2×D3)⋊C4C2×D314yes—
171C3×Dic3⋊C4C2×D314yes—
172C3×Dic3⋊C4C2×D314yes—
173C3×Dic3⋊C4C2×D314yes—
174C3×C4×Dic3—34no—
175C3×C4×Dic3—34no—
176C3×C4×Dic3—34no—
177#3724—34no—
178Dic3⋊Dic3—34no—
179Dic3⋊Dic3—34no—
180Dic3⋊Dic3—34no—
181#3722—34no—
182(C2×D3)⋊Dic3—34no—
183(C2×D3)⋊Dic3—34no—
184(C2×D3)⋊Dic3—34no—
185Dic32—34no—
186Dic32—34no—
187C22×C33C2411yescharacteristic
188C2×C3⋊(C3⋊D3)—21no—
189C2×C3⋊(C3⋊D3)—21no—
190C2×C3⋊(C3⋊D3)—21no—
191C2×C3×C3⋊D3—21no—
192C2×C3×C3⋊D3—21no—
193C2×C3×C3⋊D3#4112yes—
194C2×C32×D3—21no—
195C2×C32×D3—21no—
196C2×C32×D3—21no—
197C33×C4—21no—
198C33×C4—21no—
199C33×C4—21no—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)—21no—
202C3⋊(C3⋊Dic3)—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3#4112yes—
205C3×C3⋊Dic3#4112yes—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×#126—34no—
210C2×C3×C42—91no—
211#930—91no—
212#929—91no—
213#929—91no—
214C4×#67—91no—
215C4×#67—91no—
216#924—91no—
217#896—94no—
218#894—94no—
219#893—94no—
220#892—94no—
221#889—94no—
222#887—94no—
223#885—94no—
224#884—94no—
225#883—94no—
226#67⋊C4—94no—
227#67⋊C4—94no—
228#877—94no—
229#876—94no—
230#876—91no—
231#876—184no—
232#876C3⋊D311yescharacteristic, complemented
233#875—91no—
234C4×D12—91no—
235#872—91no—
236#872—91no—
237C42×D3—34no—
238#870—91no—
239C4×Dic6—91no—
240C23×C32—31no—
241C22×C3⋊D3—31no—
242C22×C3⋊D3—34no—
243C22×C3⋊D3—64no—
244C22×C3⋊D3C22×D311yescharacteristic
245C22×C3×D3—34no—
246C22×C3×D3C22×D314yes—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—31no—
253C2×C32×C4C22×D314yes—
254C2×C32×C4C22×D314yes—
255C2×C32×C4C22×D314yes—
256C2×C32×C4C22×D311yescharacteristic
257C2×C32×C4C22×D311yescharacteristic
258C2×C32×C4C22×D311yescharacteristic
259#638—62no—
260#638—62no—
261C2×C3⋊Dic3—31no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—34no—
265C2×C3⋊Dic3—34no—
266C2×C3⋊Dic3—34no—
267C2×C3⋊Dic3—64no—
268C2×C3⋊Dic3—64no—
269C2×C3⋊Dic3—64no—
270C2×C3⋊Dic3—62no—
271C2×C3⋊Dic3C22×D311yescharacteristic
272C2×C3⋊Dic3C22×D311yescharacteristic
273C2×C3⋊Dic3C22×D311yescharacteristic
274C4⋊(C3⋊D3)—62no—
275C4×C3⋊D3—22no—
276C4×C3⋊D3—22no—
277C4×C3⋊D3—22no—
278C4×C3⋊D3—62no—
279#634—62no—
280C2×C3×Dic3—34no—
281C2×C3×Dic3—34no—
282C2×C3×Dic3—34no—
283C2×C3×Dic3C22×D314yes—
284C2×C3×Dic3C22×D314yes—
285C2×C3×Dic3C22×D314yes—
286C3×C4×D3—68no—
287C3×C4×D3—68no—
288C3×C4×D3—68no—
289#627—68no—
290#626—68no—
291#626—68no—
292#625—68no—
293#624—68no—
294D3×Dic3—68no—
295#529—271noSylow
296C2×C33C2×#4111yescharacteristic
297C2×C33C2×#4111yescharacteristic
298C2×C33C2×#4111yescharacteristic
299C3⋊(C3⋊D3)—41no—
300C3×C3⋊D3—22no—
301C32×D3—41no—
302C22×C3×C4—91no—
303C22×C3×C4—91no—
304C22×C3×C4—91no—
305C2×#67—94no—
306C2×#67—94no—
307C2×#67—91no—
308C2×#67—91no—
309C22×Dic3—94no—
310C2×D12—94no—
311C2×D12—91no—
312C2×C4×D3—34no—
313C2×C4×D3—34no—
314C2×C4×D3—34no—
315C2×C4×D3—94no—
316C2×C4×D3—91no—
317C2×C4×D3—91no—
318C2×Dic6—94no—
319C2×Dic6—91no—
320C3×C4⋊C4—34no—
321C3×C4⋊C4—34no—
322C3×C4⋊C4—34no—
323C3×C22⋊C4—34no—
324C3×C22⋊C4—34no—
325C3×C22⋊C4—34no—
326C3×C42—24no—
327C3×C42—91no—
328C3×C42—91no—
329C3×C42—91no—
330C3×C42D3214yes—
331C3×C42C2×C3⋊D311yescharacteristic
332#217—94no—
333#217—91no—
334#217—91no—
335(C2×D3)⋊C4—94no—
336(C2×D3)⋊C4—94no—
337(C2×D3)⋊C4—94no—
338(C2×D3)⋊C4—91no—
339(C2×D3)⋊C4—94no—
340(C2×D3)⋊C4—94no—
341(C2×D3)⋊C4—94no—
342(C2×D3)⋊C4—91no—
343(C2×D3)⋊C4—91no—
344(C2×D3)⋊C4—91no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—184no—
347(C2×D3)⋊C4—184no—
348(C2×D3)⋊C4—184no—
349(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
350(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
351(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
352C4⋊Dic3—94no—
353C4⋊Dic3—91no—
354C4⋊Dic3—91no—
355Dic3⋊C4—94no—
356Dic3⋊C4—94no—
357Dic3⋊C4—94no—
358Dic3⋊C4—94no—
359Dic3⋊C4—94no—
360Dic3⋊C4—94no—
361Dic3⋊C4—91no—
362Dic3⋊C4—91no—
363Dic3⋊C4—91no—
364Dic3⋊C4—91no—
365Dic3⋊C4—91no—
366Dic3⋊C4—184no—
367Dic3⋊C4—184no—
368Dic3⋊C4—184no—
369Dic3⋊C4C2×C3⋊D311yescharacteristic
370Dic3⋊C4C2×C3⋊D311yescharacteristic
371Dic3⋊C4C2×C3⋊D311yescharacteristic
372C4×Dic3—34no—
373C4×Dic3—34no—
374C4×Dic3—34no—
375C4×Dic3—94no—
376C4×Dic3—94no—
377C4×Dic3—91no—
378C4×Dic3—91no—
379C22×C32—24no—
380C22×C32—61no—
381C22×C32—61no—
382C22×C32—61no—
383C22×C32C23×D314yes—
384C22×C32C23×D311yescharacteristic
385C2×C3⋊D3—21no—
386C2×C3⋊D3—21no—
387C2×C3⋊D3—61no—
388C2×C3⋊D3—61no—
389C2×C3⋊D3—61no—
390C2×C3⋊D3—64no—
391C2×C3⋊D3—64no—
392C2×C3⋊D3—64no—
393C2×C3⋊D3—124no—
394C2×C3⋊D3—124no—
395C2×C3⋊D3—124no—
396C2×C3⋊D3#23512yes—
397C2×C3×D3—24no—
398C2×C3×D3—24no—
399C2×C3×D3—24no—
400C2×C3×D3—38no—
401C2×C3×D3—64no—
402C2×C3×D3—64no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—24no—
407C32×C4—24no—
408C32×C4—24no—
409C32×C4—44no—
410C32×C4—44no—
411C32×C4—44no—
412C32×C4—61no—
413C32×C4—61no—
414C32×C4—61no—
415C3⋊Dic3—21no—
416C3⋊Dic3—61no—
417C3⋊Dic3—61no—
418C3⋊Dic3—61no—
419C3⋊Dic3—64no—
420C3⋊Dic3—64no—
421C3⋊Dic3—64no—
422C3⋊Dic3—124no—
423C3⋊Dic3—124no—
424C3⋊Dic3—124no—
425C3⋊Dic3#23512yes—
426C3⋊Dic3#23512yes—
427C3×Dic3—24no—
428C3×Dic3—24no—
429C3×Dic3—24no—
430C3×Dic3—38no—
431C3×Dic3—38no—
432C3×Dic3—64no—
433#126—31no—
434#126—271no—
435#125—271no—
436#124—271no—
437#123—271no—
438#123—271no—
439C22⋊Q8—271no—
440#121—271no—
441C4×Q8—271no—
442C4×D4—271no—
443C4×D4—271no—
444C4×D4—271no—
445#117—271no—
446#117—271no—
447C2×C42—91no—
448C33#52911yescharacteristic, complemented, Sylow
449C23×C3—34no—
450C23×C3—91no—
451C22×D3—34no—
452C22×D3—94no—
453C22×D3—91no—
454C22×D3—184no—
455C22×D3C22×C3⋊D311yescharacteristic
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4—24no—
459C2×C3×C4—34no—
460C2×C3×C4—34no—
461C2×C3×C4—34no—
462C2×C3×C4—91no—
463C2×C3×C4—91no—
464C2×C3×C4—91no—
465C2×C3×C4—182no—
466C2×C3×C4—182no—
467C2×C3×C4—182no—
468C2×C3×C4C2×D3214yes—
469C2×C3×C4C2×D3214yes—
470C2×C3×C4C2×D3214yes—
471C2×C3×C4C22×C3⋊D311yescharacteristic
472C2×C3×C4C22×C3⋊D311yescharacteristic
473C2×C3×C4C22×C3⋊D311yescharacteristic
474#67—182no—
475#67—188no—
476#67—182no—
477#67—188no—
478C2×Dic3—34no—
479C2×Dic3—34no—
480C2×Dic3—34no—
481C2×Dic3—94no—
482C2×Dic3—94no—
483C2×Dic3—94no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—184no—
488C2×Dic3—184no—
489C2×Dic3—184no—
490C2×Dic3—188no—
491C2×Dic3C22×C3⋊D311yescharacteristic
492C2×Dic3C22×C3⋊D311yescharacteristic
493C2×Dic3C22×C3⋊D311yescharacteristic
494D12—188no—
495D12—182no—
496C4×D3—68no—
497C4×D3—68no—
498C4×D3—68no—
499C4×D3—182no—
500C4×D3—188no—
501C4×D3—182no—
502Dic6—182no—
503Dic6—188no—
504C2×C32—24no—
505C2×C32—24no—
506C2×C32—24no—
507C2×C32—121no—
508C2×C32C2×#23511yescharacteristic
509C2×C32C2×#23511yescharacteristic
510C2×C32C2×#23511yescharacteristic
511C2×C32D3×#4114yes—
512C2×C32D3×#4114yes—
513C2×C32D3×#4114yes—
514C3⋊D3—22no—
515C3⋊D3—121no—
516C3⋊D3—124no—
517C3⋊D3—244no—
518C3×D3—44no—
519C3×D3—68no—
520C2×Q8—271no—
521C2×D4—271no—
522C2×D4—271no—
523C2×D4—271no—
524C22×C4—91no—
525C22×C4—91no—
526C22×C4—91no—
527C22×C4—271no—
528C22×C4—271no—
529C4⋊C4—31no—
530C4⋊C4—31no—
531C4⋊C4—31no—
532C4⋊C4—271no—
533C4⋊C4—271no—
534C4⋊C4—271no—
535C4⋊C4—271no—
536C4⋊C4—271no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C22⋊C4—31no—
540C22⋊C4—31no—
541C22⋊C4—31no—
542C22⋊C4—271no—
543C22⋊C4—271no—
544C22⋊C4—271no—
545C22⋊C4—271no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C42—91no—
550C42—91no—
551C42—91no—
552C42—271no—
553C42—271no—
554C42D3×C3⋊D311yescharacteristic
555C22×C3—24no—
556C22×C3—64no—
557C22×C3—64no—
558C22×C3—64no—
559C22×C3—92no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3C22×D3214yes—
563C22×C3C23×C3⋊D311yescharacteristic
564C2×D3—21no—
565C2×D3—21no—
566C2×D3—21no—
567C2×D3—38no—
568C2×D3—64no—
569C2×D3—64no—
570C2×D3—184no—
571C2×D3—184no—
572C2×D3—184no—
573C2×D3—181no—
574C2×D3—181no—
575C2×D3—181no—
576C2×D3—364no—
577C2×D3—364no—
578C2×D3—364no—
579C3×C4—24no—
580C3×C4—24no—
581C3×C4—24no—
582C3×C4—21no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—44no—
586C3×C4—44no—
587C3×C4—44no—
588C3×C4—64no—
589C3×C4—64no—
590C3×C4—64no—
591C3×C4—92no—
592C3×C4—92no—
593C3×C4—181no—
594Dic3—21no—
595Dic3—21no—
596Dic3—21no—
597Dic3—38no—
598Dic3—38no—
599Dic3—64no—
600Dic3—184no—
601Dic3—184no—
602Dic3—184no—
603Dic3—181no—
604Dic3—181no—
605Dic3—181no—
606Dic3—364no—
607Dic3—364no—
608Dic3—364no—
609C32—24no—
610C32#547911yescharacteristic, complemented
611C32#570614yescomplemented
612C23—31no—
613C23—91no—
614C23—271no—
615Q8—542no—
616D4—542no—
617D4—542no—
618D4—542no—
619C2×C4—31no—
620C2×C4—31no—
621C2×C4—31no—
622C2×C4—91no—
623C2×C4—91no—
624C2×C4—91no—
625C2×C4—182no—
626C2×C4—182no—
627C2×C4—182no—
628C2×C4—271no—
629C2×C4—271no—
630C2×C4—271no—
631C2×C4—542no—
632C2×C4—542no—
633C2×C4C2×D3×C3⋊D311yescharacteristic
634C2×C4C2×D3×C3⋊D311yescharacteristic
635C2×C4C2×D3×C3⋊D311yescharacteristic
636C2×C3—24no—
637C2×C3—24no—
638C2×C3—24no—
639C2×C3—124no—
640C2×C3—182no—
641C2×C3D3×#23514yes—
642C2×C3D3×#23514yes—
643C2×C3D3×#23514yes—
644C2×C3#41×C3⋊D311yescharacteristic
645C2×C3#41×C3⋊D311yescharacteristic
646C2×C3#41×C3⋊D311yescharacteristic
647D3—41no—
648D3—68no—
649D3—361no—
650D3—364no—
651D3—724no—
652C22—61no—
653C22—61no—
654C22—61no—
655C22—92no—
656C22—181no—
657C22—181no—
658C22—541no—
659C22—541no—
660C22—541no—
661C22C22×D3×C3⋊D311yescharacteristic
662C4—21no—
663C4—21no—
664C4—21no—
665C4—61no—
666C4—61no—
667C4—61no—
668C4—92no—
669C4—92no—
670C4—181no—
671C4—541no—
672C4—541no—
673C4—541no—
674C3—24no—
675C3#1059397514yescomplemented
676C3#1059617711yescharacteristic, complemented
677C2—121no—
678C2—182no—
679C2—1081no—
680C2C3⋊D3×#23511yescharacteristic
681C2C3⋊D3×#23511yescharacteristic
682C2C3⋊D3×#23511yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C42C22
prime radical#11723520C2
hypercenterC42D3×C3⋊D3
hypocenterC33#529
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
1. #11723917C2semidirect
2. C3×C42×C3⋊D3C2semidirect
3. C32×#876C2semidirect
5. #11723518C2semidirect
6. #11723512C2semidirect
7. #11723507C2semidirect
8. #11723469C2semidirect
9. #11723461C2semidirect
10. #11723459C2semidirect
11. #11723445C2semidirect
12. #11723419C2semidirect
13. #11723418C2semidirect
14. #11723417C2semidirect
15. #11723390C2semidirect
69. C42×C3⋊D3D3semidirect
70. C3×#876D3semidirect
232. #876C3⋊D3semidirect
448. C33#529semidirect
610. C32#5479semidirect
611. C32#5706semidirect
675. C3#10593975semidirect
676. C3#10596177semidirect

Maximal subgroups

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

subgroupindex
#117239172
C3×C42×C3⋊D32
C32×#8762
#117235202
#117235182
#117235122
#117235072
#117234692
#117234612
#117234592
#117234452
#117234192
#117234182
#117234172
#117233902
#105961773
#105939753