Finite Group Databasebeta

← #13177503

Subgroups — #13177503

Order 1728.

1684 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723980C211yesmaximal, characteristic
2C3×#64144C211yesmaximal, characteristic, complemented
3C32×D4×Dic3C211yesmaximal, characteristic, complemented
4#11723642C211yesmaximal, characteristic, complemented
5#11723640C211yesmaximal, characteristic, complemented
6#11723628C211yesmaximal, characteristic, complemented
7#11723618C211yesmaximal, characteristic, complemented
8#11723612C211yesmaximal, characteristic, complemented
9C2×#88807C211yesmaximal, characteristic, complemented
10#11723608C211yesmaximal, characteristic, complemented
11#11723596C211yesmaximal, characteristic, complemented
12#11723495C211yesmaximal, characteristic, complemented
13#11723453C211yesmaximal, characteristic, complemented
14#11723444C211yesmaximal, characteristic, complemented
15#11723412C211yesmaximal, characteristic, complemented
16#10596035—31nomaximal
17#10595127—34nomaximal
18C2×C33×D4C2211yescharacteristic
19C2×#6312C2211yescharacteristic
20C2×#6312C2211yescharacteristic
21C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
22C22×C3×C3⋊Dic3C2211yescharacteristic
23C22×C32×Dic3C2211yescharacteristic
24C22×C32×Dic3C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×#6289C2211yescharacteristic
27#88864C2211yescharacteristic
28#88859C2211yescharacteristic
29#88857C2211yescharacteristic
30C3×#3757C2211yescharacteristic
31C3×#3757C2211yescharacteristic
32C3×#3757C2211yescharacteristic
33C3×#3750C2211yescharacteristic
34C3×#3750C2211yescharacteristic
35C32×#217C2211yescharacteristic
36C32×#217C2211yescharacteristic
37C32×C4⋊Dic3C2211yescharacteristic
38C32×C4×Dic3C2211yescharacteristic
39#88807C2211yescharacteristic
40#88807C2211yescharacteristic
41#88807C2211yescharacteristic
42#88807C2211yescharacteristic
43#88807C2211yescharacteristic
44#88806C2211yescharacteristic
45#88806C2211yescharacteristic
46Dic3⋊(C3⋊Dic3)C2211yescharacteristic
47Dic3⋊(C3⋊Dic3)C2211yescharacteristic
48Dic3⋊(C3⋊Dic3)C2211yescharacteristic
49#88804C2211yescharacteristic
50#88804C2211yescharacteristic
51#88804C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×C4×D4—31no—
54#64148—31no—
55#64148—34no—
56#64148—64no—
57#64144D311yescharacteristic, complemented
58#64138—31no—
59C4×#638—31no—
60#64133—31no—
61C2×#3750—31no—
62#64105—31no—
63#64098—31no—
64#64095—31no—
65#64092—31no—
66#64088—31no—
67#64087—31no—
68#64085—31no—
69#64079—31no—
70C3×#935—34no—
71C3×D4×Dic3D314yescomplemented
72#63982—34no—
73#63975—34no—
74#63966—34no—
75#63966—34no—
76C2×Dic3⋊Dic3—34no—
77#63964—34no—
78#63956—34no—
79#63952—34no—
80#63895—34no—
81#63868—34no—
82#63867—34no—
83#63846—34no—
84C23×C33C2311yescharacteristic
85C23×C33C2311yescharacteristic
86C22×C3⋊(C3⋊D3)C2311yescharacteristic
87C33×D4—22no—
88C2×C33×C4C2311yescharacteristic
89#6312—22no—
90#6312—41no—
91C2×C3⋊(C3⋊Dic3)—41no—
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
95C2×C3×C3⋊Dic3—22no—
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C2×C3×C3⋊Dic3C2311yescharacteristic
100C2×C32×Dic3—41no—
101C2×C32×Dic3—41no—
102C2×C32×Dic3C2311yescharacteristic
103C2×C32×Dic3C2311yescharacteristic
104C2×C32×Dic3C2311yescharacteristic
105C2×C32×Dic3C2311yescharacteristic
106#6293—41no—
107#6289—41no—
108#5665—91no—
109#5564—94no—
110C2×C32×D4—24no—
111C2×C32×D4C2×D314yes—
112C2×C32×D4C2×D311yescharacteristic
113C22×C32×C4—31no—
114C22×C32×C4—31no—
115C2×#638—31no—
116C2×#638—34no—
117C2×#638—31no—
118C2×#638—34no—
119C2×#638—64no—
120C2×#638—64no—
121C22×C3⋊Dic3—31no—
122C22×C3⋊Dic3—34no—
123C22×C3⋊Dic3—64no—
124C22×C3⋊Dic3C2×D311yescharacteristic
125C2×C4×C3⋊D3—31no—
126C2×#634—31no—
127C22×C3×Dic3—34no—
128C22×C3×Dic3C2×D314yes—
129C22×C3×Dic3C2×D314yes—
130C2×#627—34no—
131C2×#624—34no—
132C32×C4⋊C4—31no—
133C32×C22⋊C4—31no—
134C32×C22⋊C4—31no—
135C32×C42—31no—
136#3757—31no—
137#3757—34no—
138#3757—64no—
139#3757C2×D311yescharacteristic
140#3757C2×D311yescharacteristic
141#3757C2×D311yescharacteristic
142#3752—31no—
143#3752—34no—
144#3752—31no—
145#3752—31no—
146#3752—31no—
147#3752—64no—
148C4⋊(C3⋊Dic3)—31no—
149C4⋊(C3⋊Dic3)—31no—
150C4⋊(C3⋊Dic3)—31no—
151#3750—31no—
152#3750—34no—
153#3750—31no—
154#3750—31no—
155#3750—31no—
156#3750—31no—
157#3750—31no—
158#3750—31no—
159#3750—31no—
160#3750—64no—
161#3750C2×D311yescharacteristic
162#3750C2×D311yescharacteristic
163C4×C3⋊Dic3—31no—
164C3×#217—34no—
165C3×#217—34no—
166C3×#217—34no—
167C3×#217C2×D314yes—
168C3×#217C2×D314yes—
169C3×C4⋊Dic3C2×D314yes—
170C3×Dic3⋊C4—34no—
171C3×Dic3⋊C4—34no—
172C3×C4×Dic3C2×D314yes—
173#3724—34no—
174#3724—34no—
175Dic3⋊Dic3—34no—
176Dic3⋊Dic3—34no—
177Dic3⋊Dic3—34no—
178Dic3⋊Dic3—34no—
179Dic3⋊Dic3—34no—
180Dic3⋊Dic3—34no—
181Dic3⋊Dic3—34no—
182Dic3⋊Dic3—34no—
183#3722—34no—
184#3722—34no—
185#3722—34no—
186Dic32—34no—
187C22×C33—21no—
188C22×C33—21no—
189C22×C33—21no—
190C22×C33—21no—
191C22×C33—21no—
192C22×C33#4112yes—
193C22×C33C2411yescharacteristic
194C2×C3⋊(C3⋊D3)—21no—
195C2×C3⋊(C3⋊D3)—21no—
196C2×C3⋊(C3⋊D3)—21no—
197C33×C4—21no—
198C3⋊(C3⋊Dic3)—21no—
199C3⋊(C3⋊Dic3)—21no—
200C3⋊(C3⋊Dic3)—21no—
201C3×C3⋊Dic3—21no—
202C3×C3⋊Dic3—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3—21no—
205C32×Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×#123—91no—
210C3×C4×D4—34no—
211#939—94no—
212#939—91no—
213#939—184no—
214#935—34no—
215D4×Dic3C3⋊D311yescharacteristic, complemented
216#929—94no—
217#929—91no—
218C4×#67—94no—
219C2×C4⋊Dic3—91no—
220#924—94no—
221C2×Dic3⋊C4—94no—
222#898—91no—
223#897—91no—
224#896—94no—
225#890—91no—
226#889—94no—
227#889—91no—
228#886—94no—
229#886—91no—
230#883—94no—
231#883—91no—
232#67⋊C4—91no—
233#879—94no—
234#879—91no—
235#878—94no—
236#878—91no—
237#878—91no—
238#876—94no—
239#870—94no—
240C23×C32—24no—
241C23×C32—24no—
242C23×C32C22×D314yes—
243C23×C32C22×D314yes—
244C23×C32C22×D311yescharacteristic
245C23×C32C22×D311yescharacteristic
246C22×C3⋊D3—31no—
247C22×C3⋊D3—34no—
248C22×C3⋊D3—64no—
249C32×D4—22no—
250C32×D4—28no—
251C32×D4—48no—
252C2×C32×C4—24no—
253C2×C32×C4—31no—
254C2×C32×C4—31no—
255C2×C32×C4—31no—
256C2×C32×C4—31no—
257C2×C32×C4—121no—
258C2×C32×C4—121no—
259C2×C32×C4C22×D314yes—
260C2×C32×C4C22×D311yescharacteristic
261#638—62no—
262#638—68no—
263#638—128no—
264#638—121no—
265#638—124no—
266#638—128no—
267C2×C3⋊Dic3—22no—
268C2×C3⋊Dic3—31no—
269C2×C3⋊Dic3—31no—
270C2×C3⋊Dic3—31no—
271C2×C3⋊Dic3—34no—
272C2×C3⋊Dic3—34no—
273C2×C3⋊Dic3—34no—
274C2×C3⋊Dic3—64no—
275C2×C3⋊Dic3—64no—
276C2×C3⋊Dic3—64no—
277C2×C3⋊Dic3—121no—
278C2×C3⋊Dic3—124no—
279C2×C3⋊Dic3—128no—
280C2×C3⋊Dic3C22×D311yescharacteristic
281C2×C3⋊Dic3C22×D311yescharacteristic
282C2×C3⋊Dic3C22×D311yescharacteristic
283C2×C3⋊Dic3C22×D311yescharacteristic
284C4×C3⋊D3—121no—
285#634—121no—
286C2×C3×Dic3—34no—
287C2×C3×Dic3—34no—
288C2×C3×Dic3—34no—
289C2×C3×Dic3—34no—
290C2×C3×Dic3—44no—
291C2×C3×Dic3—44no—
292C2×C3×Dic3—68no—
293C2×C3×Dic3C22×D314yes—
294C2×C3×Dic3C22×D314yes—
295C2×C3×Dic3C22×D314yes—
296C2×C3×Dic3C22×D314yes—
297#627—124no—
298#624—124no—
299#539—271noSylow
300C2×C33—22no—
301C2×C33—41no—
302C2×C33C2×#4111yescharacteristic
303C2×C33H(5,𝔽2)11yescharacteristic
304C2×C332−1+411yescharacteristic
305C3⋊(C3⋊D3)—41no—
306C2×C3×D4—24no—
307C2×C3×D4D3214yes—
308C2×C3×D4C2×C3⋊D311yescharacteristic
309C22×C3×C4—34no—
310C22×C3×C4—34no—
311C22×C3×C4—91no—
312C2×#67—94no—
313C2×#67—91no—
314C2×#67—94no—
315C2×#67—91no—
316C2×#67—184no—
317C2×#67—184no—
318C22×Dic3—34no—
319C22×Dic3—94no—
320C22×Dic3—91no—
321C22×Dic3—184no—
322C22×Dic3C2×C3⋊D311yescharacteristic
323C22×Dic3C2×C3⋊D311yescharacteristic
324C2×C4×D3—94no—
325C2×C4×D3—91no—
326C2×Dic6—94no—
327C2×Dic6—91no—
328C3×C4⋊C4—34no—
329C3×C4⋊C4—91no—
330C3×C4⋊C4—91no—
331C3×C22⋊C4—34no—
332C3×C22⋊C4—34no—
333C3×C22⋊C4—91no—
334C3×C22⋊C4—91no—
335C3×C22⋊C4—91no—
336C3×C42—34no—
337#217—34no—
338#217—34no—
339#217—34no—
340#217—94no—
341#217—91no—
342#217—184no—
343#217C2×C3⋊D311yescharacteristic
344#217C2×C3⋊D311yescharacteristic
345(C2×D3)⋊C4—94no—
346(C2×D3)⋊C4—94no—
347(C2×D3)⋊C4—94no—
348(C2×D3)⋊C4—94no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—91no—
352(C2×D3)⋊C4—91no—
353(C2×D3)⋊C4—184no—
354C4⋊Dic3—94no—
355C4⋊Dic3—94no—
356C4⋊Dic3—94no—
357C4⋊Dic3—91no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3—91no—
361C4⋊Dic3—91no—
362C4⋊Dic3C2×C3⋊D311yescharacteristic
363Dic3⋊C4—34no—
364Dic3⋊C4—34no—
365Dic3⋊C4—94no—
366Dic3⋊C4—94no—
367Dic3⋊C4—94no—
368Dic3⋊C4—94no—
369Dic3⋊C4—94no—
370Dic3⋊C4—94no—
371Dic3⋊C4—94no—
372Dic3⋊C4—94no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4—91no—
378Dic3⋊C4—91no—
379Dic3⋊C4—184no—
380C4×Dic3—94no—
381C4×Dic3—91no—
382C4×Dic3C2×C3⋊D311yescharacteristic
383C22×C32—21no—
384C22×C32—21no—
385C22×C32—21no—
386C22×C32—21no—
387C22×C32—21no—
388C22×C32—24no—
389C22×C32—28no—
390C22×C32—24no—
391C22×C32—24no—
392C22×C32—24no—
393C22×C32—24no—
394C22×C32—24no—
395C22×C32—44no—
396C22×C32—44no—
397C22×C32—44no—
398C22×C32—44no—
399C22×C32—44no—
400C22×C32#23518yes—
401C22×C32#23712yes—
402C22×C32C23×D314yes—
403C22×C32C23×D311yescharacteristic
404C2×C3⋊D3—61no—
405C2×C3⋊D3—61no—
406C2×C3⋊D3—61no—
407C2×C3⋊D3—64no—
408C2×C3⋊D3—64no—
409C2×C3⋊D3—64no—
410C2×C3⋊D3—124no—
411C2×C3⋊D3—124no—
412C2×C3⋊D3—124no—
413C32×C4—21no—
414C32×C4—24no—
415C32×C4—44no—
416C32×C4—61no—
417C32×C4—61no—
418C32×C4—61no—
419C32×C4—61no—
420C3⋊Dic3—21no—
421C3⋊Dic3—21no—
422C3⋊Dic3—21no—
423C3⋊Dic3—21no—
424C3⋊Dic3—68no—
425C3⋊Dic3—61no—
426C3⋊Dic3—64no—
427C3⋊Dic3—61no—
428C3⋊Dic3—61no—
429C3⋊Dic3—64no—
430C3⋊Dic3—64no—
431C3⋊Dic3—124no—
432C3⋊Dic3—124no—
433C3×Dic3—24no—
434C3×Dic3—24no—
435C3×Dic3—24no—
436C3×Dic3—24no—
437C3×Dic3—64no—
438C3×Dic3—64no—
439C3×Dic3—64no—
440C3×Dic3—64no—
441#126—271no—
442#126—271no—
443#125—271no—
444#125—271no—
445#123—91no—
446#123—271no—
447#123—271no—
448#123—271no—
449C22⋊Q8—271no—
450C22⋊Q8—271no—
451C22⋊Q8—271no—
452#121—271no—
453C4×D4—31no—
454C4×D4—271no—
455C2×C4⋊C4—271no—
456C33#53911yescharacteristic, complemented, Sylow
457C23×C3—24no—
458C23×C3—24no—
459C23×C3C2×D3214yes—
460C23×C3C2×D3214yes—
461C23×C3C22×C3⋊D311yescharacteristic
462C23×C3C22×C3⋊D311yescharacteristic
463C22×D3—94no—
464C22×D3—91no—
465C22×D3—184no—
466C3×D4—28no—
467C3×D4—22no—
468C3×D4—48no—
469C2×C3×C4—24no—
470C2×C3×C4—34no—
471C2×C3×C4—34no—
472C2×C3×C4—34no—
473C2×C3×C4—34no—
474C2×C3×C4—91no—
475C2×C3×C4—91no—
476C2×C3×C4—91no—
477C2×C3×C4—91no—
478C2×C3×C4—124no—
479C2×C3×C4—124no—
480C2×C3×C4—182no—
481C2×C3×C4C2×D3214yes—
482C2×C3×C4C22×C3⋊D311yescharacteristic
483#67—188no—
484#67—182no—
485#67—368no—
486#67—364no—
487#67—361no—
488#67—368no—
489C2×Dic3—34no—
490C2×Dic3—34no—
491C2×Dic3—34no—
492C2×Dic3—34no—
493C2×Dic3—41no—
494C2×Dic3—41no—
495C2×Dic3—68no—
496C2×Dic3—94no—
497C2×Dic3—94no—
498C2×Dic3—94no—
499C2×Dic3—91no—
500C2×Dic3—91no—
501C2×Dic3—91no—
502C2×Dic3—184no—
503C2×Dic3—184no—
504C2×Dic3—184no—
505C2×Dic3—364no—
506C2×Dic3—361no—
507C2×Dic3—368no—
508C2×Dic3C22×C3⋊D311yescharacteristic
509C2×Dic3C22×C3⋊D311yescharacteristic
510C2×Dic3C22×C3⋊D311yescharacteristic
511C2×Dic3C22×C3⋊D311yescharacteristic
512C4×D3—361no—
513C4×D3—364no—
514Dic6—361no—
515Dic6—364no—
516C2×C32—22no—
517C2×C32—24no—
518C2×C32—24no—
519C2×C32—24no—
520C2×C32—28no—
521C2×C32—48no—
522C2×C32—41no—
523C2×C32—44no—
524C2×C32—84no—
525C2×C32C2×#23514yes—
526C2×C32C2×#23711yescharacteristic
527C2×C32#100414yes—
528C2×C32#100911yescharacteristic
529C2×C32#101014yes—
530C2×C32#101011yescharacteristic
531C3⋊D3—121no—
532C3⋊D3—124no—
533C3⋊D3—244no—
534C2×Q8—271no—
535C2×D4—271no—
536C2×D4—271no—
537C2×D4D3×C3⋊D311yescharacteristic
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—91no—
541C22×C4—271no—
542C22×C4—271no—
543C4⋊C4—31no—
544C4⋊C4—91no—
545C4⋊C4—91no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C4⋊C4—271no—
549C4⋊C4—271no—
550C4⋊C4—271no—
551C4⋊C4—271no—
552C4⋊C4—271no—
553C4⋊C4—271no—
554C4⋊C4—271no—
555C4⋊C4—271no—
556C4⋊C4—271no—
557C22⋊C4—31no—
558C22⋊C4—31no—
559C22⋊C4—91no—
560C22⋊C4—91no—
561C22⋊C4—91no—
562C22⋊C4—271no—
563C22⋊C4—271no—
564C22⋊C4—271no—
565C22⋊C4—271no—
566C22⋊C4—271no—
567C42—31no—
568C42—271no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—24no—
574C22×C3—24no—
575C22×C3—24no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—21no—
579C22×C3—24no—
580C22×C3—28no—
581C22×C3—44no—
582C22×C3—44no—
583C22×C3—44no—
584C22×C3—44no—
585C22×C3—44no—
586C22×C3#380418yes—
587C22×C3#382812yes—
588C22×C3C22×D3214yes—
589C22×C3C23×C3⋊D311yescharacteristic
590C2×D3—184no—
591C2×D3—184no—
592C2×D3—184no—
593C2×D3—181no—
594C2×D3—181no—
595C2×D3—181no—
596C2×D3—364no—
597C2×D3—364no—
598C2×D3—364no—
599C3×C4—24no—
600C3×C4—21no—
601C3×C4—44no—
602C3×C4—64no—
603C3×C4—64no—
604C3×C4—64no—
605C3×C4—64no—
606C3×C4—181no—
607C3×C4—181no—
608C3×C4—181no—
609C3×C4—181no—
610Dic3—21no—
611Dic3—21no—
612Dic3—21no—
613Dic3—21no—
614Dic3—64no—
615Dic3—64no—
616Dic3—64no—
617Dic3—64no—
618Dic3—188no—
619Dic3—184no—
620Dic3—184no—
621Dic3—184no—
622Dic3—181no—
623Dic3—181no—
624Dic3—181no—
625Dic3—364no—
626Dic3—364no—
627C32—24no—
628C32#556414yescomplemented
629C32#566511yescharacteristic, complemented
630C23—271no—
631C23C2×D3×C3⋊D311yescharacteristic
632C23C2×D3×C3⋊D311yescharacteristic
633Q8—1081no—
634D4—22no—
635D4—542no—
636D4—1081no—
637C2×C4—31no—
638C2×C4—31no—
639C2×C4—31no—
640C2×C4—31no—
641C2×C4—91no—
642C2×C4—91no—
643C2×C4—91no—
644C2×C4—91no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—182no—
648C2×C4—271no—
649C2×C4—271no—
650C2×C4—271no—
651C2×C4—1081no—
652C2×C4—1081no—
653C2×C4C2×D3×C3⋊D311yescharacteristic
654C2×C3—28no—
655C2×C3—22no—
656C2×C3—24no—
657C2×C3—24no—
658C2×C3—24no—
659C2×C3—48no—
660C2×C3—44no—
661C2×C3—41no—
662C2×C3—84no—
663C2×C3#6430914yes—
664C2×C3#6431414yes—
665C2×C3C2×#380414yes—
666C2×C3C2×#382811yescharacteristic
667C2×C3#6436111yescharacteristic
668C2×C3#6436711yescharacteristic
669D3—364no—
670D3—361no—
671D3—724no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—541no—
678C22—541no—
679C22—541no—
680C22#8903112yes—
681C22C22×D3×C3⋊D311yescharacteristic
682C4—21no—
683C4—61no—
684C4—61no—
685C4—61no—
686C4—61no—
687C4—181no—
688C4—181no—
689C4—181no—
690C4—181no—
691C4—541no—
692C4—541no—
693C4—541no—
694C3—24no—
695C3#1059512714yescomplemented
696C3#1059603511yescharacteristic, complemented
697C2—22no—
698C2—41no—
699C2—1081no—
700C2#1172458211yescharacteristic
701C2#1172458811yescharacteristic
702C2C2×#8903111yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
prime radical#11723980C2
hypercenterC2×D4D3×C3⋊D3
hypocenterC33#539
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
2. C3×#64144C2semidirect
3. C32×D4×Dic3C2semidirect
4. #11723642C2semidirect
5. #11723640C2semidirect
6. #11723628C2semidirect
7. #11723618C2semidirect
8. #11723612C2semidirect
9. C2×#88807C2semidirect
10. #11723608C2semidirect
11. #11723596C2semidirect
12. #11723495C2semidirect
13. #11723453C2semidirect
14. #11723444C2semidirect
15. #11723412C2semidirect
57. #64144D3semidirect
71. C3×D4×Dic3D3semidirect
215. D4×Dic3C3⋊D3semidirect
456. C33#539semidirect
628. C32#5564semidirect
629. C32#5665semidirect
695. C3#10595127semidirect
696. C3#10596035semidirect

Maximal subgroups

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

subgroupindex
#117239802
C3×#641442
C32×D4×Dic32
#117236422
#117236402
#117236282
#117236182
#117236122
C2×#888072
#117236082
#117235962
#117234952
#117234532
#117234442
#117234122
#105960353
#105951273