Finite Group Databasebeta

← #13175884

Subgroups — #13175884

Order 1728.

1592 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723919C211yesmaximal, characteristic, complemented
2C3×#64088C211yesmaximal, characteristic, complemented
3C32×#884C211yesmaximal, characteristic
4#67⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
5#11723603C211yesmaximal, characteristic, complemented
6#11723600C211yesmaximal, characteristic, complemented
7#11723600C211yesmaximal, characteristic, complemented
8#11723491C211yesmaximal, characteristic, complemented
9#11723473C211yesmaximal, characteristic, complemented
10#11723429C211yesmaximal, characteristic, complemented
11#11723427C211yesmaximal, characteristic, complemented
12#11723424C211yesmaximal, characteristic, complemented
13#11723415C211yesmaximal, characteristic, complemented
14#11723395C211yesmaximal, characteristic, complemented
15#11723390C211yesmaximal, characteristic, complemented
16#10596074—31nomaximal
17#10594148—34nomaximal
18C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
19C2×#6308C2211yescharacteristic
20C2×C32×#67C2211yescharacteristic
21C2×C32×#67C2211yescharacteristic
22C2×C32×D12C2211yescharacteristic
23C2×C32×C4×D3C2211yescharacteristic
24C2×#6293C2211yescharacteristic
25C2×#6293C2211yescharacteristic
26C2×D3×C3⋊Dic3C2211yescharacteristic
27C33×C22⋊C4C2211yescharacteristic
28#88864C2211yescharacteristic
29C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
30#88857C2211yescharacteristic
31#88857C2211yescharacteristic
32C3×#3757C2211yescharacteristic
33C3×#3757C2211yescharacteristic
34C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
35C3×#3750C2211yescharacteristic
36C3×#3750C2211yescharacteristic
37C3×C4×C3⋊Dic3C2211yescharacteristic
38C32×(C2×D3)⋊C4C2211yescharacteristic
39C32×Dic3⋊C4C2211yescharacteristic
40#88807C2211yescharacteristic
41#88807C2211yescharacteristic
42Dic3⋊(C3⋊Dic3)C2211yescharacteristic
43(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
44(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
45(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
46(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
47(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
48(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
49(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
50Dic3×C3⋊Dic3C2211yescharacteristic
51Dic3×C3⋊Dic3C2211yescharacteristic
52Dic3×C3⋊Dic3C2211yescharacteristic
53C32×#121—31no—
54#64145—31no—
55#64145—31no—
56#64145—31no—
57#64144—31no—
58#64144—31no—
59D4×C3⋊Dic3—31no—
60#64135—31no—
61#64133—31no—
62#64097—31no—
63#64096—31no—
64#64088—31no—
65#64088D311yescharacteristic, complemented
66#64087—31no—
67#64087—31no—
68#64087—34no—
69#64087—64no—
70C3×#884D314yes—
71C3×#879—34no—
72#67⋊Dic3—34no—
73#63962—34no—
74#63959—34no—
75#63959—34no—
76#63893—34no—
77#63884—34no—
78#63860—34no—
79#63858—34no—
80#63851—34no—
81#63841—34no—
82#63840—34no—
83#63837—34no—
84C23×C33C2311yescharacteristic
85C22×C32×D3C2311yescharacteristic
86C22×C32×D3C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88C2×C33×C4C2311yescharacteristic
89C2×C3⋊(C3⋊Dic3)—41no—
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
94#6308—41no—
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊Dic3C2311yescharacteristic
99C32×#67—22no—
100C32×#67—41no—
101C2×C32×Dic3C2311yescharacteristic
102C2×C32×Dic3C2311yescharacteristic
103C32×D12—41no—
104C32×C4×D3—22no—
105#6293—22no—
106#6293—41no—
107D3×C3⋊Dic3—41no—
108#5710—91no—
109#5603—94no—
110C2×C32×D4—31no—
111C2×C32×D4—31no—
112C2×C32×D4—31no—
113C22×C32×C4—31no—
114C22×C3⋊Dic3—31no—
115C22×C3⋊Dic3—34no—
116C22×C3⋊Dic3—31no—
117C22×C3⋊Dic3—64no—
118C2×#634—31no—
119C2×#634—31no—
120C2×#634—34no—
121C2×#634—31no—
122C2×#634—64no—
123C2×C3×#67C2×D314yes—
124C2×C3×#67C2×D314yes—
125C2×C3×D12C2×D314yes—
126C2×C3×C4×D3C2×D314yes—
127C2×#627—34no—
128C2×#627—34no—
129C2×D3×Dic3—34no—
130C32×C4⋊C4—31no—
131C32×C22⋊C4—24no—
132C32×C22⋊C4—31no—
133C32×C22⋊C4C2×D314yes—
134C32×C22⋊C4C2×D311yescharacteristic
135#3757—31no—
136#3757—34no—
137#3757—31no—
138#3757—31no—
139#3757—31no—
140#3757—31no—
141#3757—31no—
142#3757—31no—
143#3757—31no—
144#3757—64no—
145#3757C2×D311yescharacteristic
146#3757C2×D311yescharacteristic
147C4⋊(C3⋊Dic3)—31no—
148C4⋊(C3⋊Dic3)—34no—
149C4⋊(C3⋊Dic3)—31no—
150C4⋊(C3⋊Dic3)—64no—
151C4⋊(C3⋊Dic3)C2×D311yescharacteristic
152#3750—31no—
153#3750—31no—
154#3750—34no—
155#3750—34no—
156#3750—31no—
157#3750—31no—
158#3750—64no—
159#3750—64no—
160#3750C2×D311yescharacteristic
161#3750C2×D311yescharacteristic
162C4×C3⋊Dic3—31no—
163C4×C3⋊Dic3—31no—
164C4×C3⋊Dic3—31no—
165C4×C3⋊Dic3C2×D311yescharacteristic
166C3×#217—34no—
167C3×#217—34no—
168C3×(C2×D3)⋊C4C2×D314yes—
169C3×C4⋊Dic3—34no—
170C3×Dic3⋊C4—34no—
171C3×Dic3⋊C4—34no—
172C3×Dic3⋊C4C2×D314yes—
173C3×C4×Dic3—34no—
174Dic3⋊Dic3—34no—
175Dic3⋊Dic3—34no—
176Dic3⋊Dic3—34no—
177(C2×D3)⋊Dic3—34no—
178(C2×D3)⋊Dic3—34no—
179(C2×D3)⋊Dic3—34no—
180(C2×D3)⋊Dic3—34no—
181(C2×D3)⋊Dic3—34no—
182(C2×D3)⋊Dic3—34no—
183(C2×D3)⋊Dic3—34no—
184Dic32—34no—
185Dic32—34no—
186Dic32—34no—
187C22×C33—21no—
188C22×C33—21no—
189C22×C33—21no—
190C22×C33C2411yescharacteristic
191C2×C32×D3—21no—
192C2×C32×D3—21no—
193C2×C32×D3—21no—
194C2×C32×D3—21no—
195C2×C32×D3—21no—
196C2×C32×D3—21no—
197C33×C4—21no—
198C33×C4—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—
205C3×C3⋊Dic3—21no—
206C3×C3⋊Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3#4112yes—
209C3×#126—91no—
210C3×#121—34no—
211#936—94no—
212#936—94no—
213#936—94no—
214#935—94no—
215#935—94no—
216D4×Dic3—94no—
217#926—94no—
218#924—94no—
219#898—91no—
220#897—91no—
221#896—91no—
222#894—91no—
223#892—91no—
224#888—94no—
225#888—91no—
226#887—94no—
227#886—91no—
228#885—91no—
229#885—91no—
230#884C3⋊D311yescharacteristic
231#67⋊C4—91no—
232#879—34no—
233#879—94no—
234#878—94no—
235#878—94no—
236#878—91no—
237#878—184no—
238#875—91no—
239C4×Dic6—91no—
240C23×C32—24no—
241C23×C32—31no—
242C23×C32—31no—
243C23×C32C22×D314yes—
244C23×C32C22×D311yescharacteristic
245C22×C3×D3C22×D314yes—
246C22×C3×D3C22×D314yes—
247C32×D4—62no—
248C32×D4—121no—
249C32×D4—121no—
250C2×C32×C4—24no—
251C2×C32×C4—24no—
252C2×C32×C4—31no—
253C2×C32×C4—31no—
254C2×C32×C4—62no—
255C2×C32×C4C22×D314yes—
256C2×C32×C4C22×D314yes—
257C2×C32×C4C22×D311yescharacteristic
258C2×C32×C4C22×D311yescharacteristic
259C2×C3⋊Dic3—31no—
260C2×C3⋊Dic3—31no—
261C2×C3⋊Dic3—31no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—34no—
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—64no—
271C2×C3⋊Dic3—121no—
272C2×C3⋊Dic3—121no—
273C2×C3⋊Dic3—124no—
274C2×C3⋊Dic3—128no—
275C2×C3⋊Dic3C22×D311yescharacteristic
276C2×C3⋊Dic3C22×D311yescharacteristic
277C2×C3⋊Dic3C22×D311yescharacteristic
278C2×C3⋊Dic3C22×D311yescharacteristic
279#634—62no—
280#634—121no—
281#634—121no—
282#634—124no—
283#634—128no—
284C3×#67—28no—
285C3×#67—44no—
286C2×C3×Dic3—34no—
287C2×C3×Dic3—34no—
288C2×C3×Dic3—34no—
289C2×C3×Dic3—34no—
290C2×C3×Dic3C22×D314yes—
291C2×C3×Dic3C22×D314yes—
292C3×D12—44no—
293C3×C4×D3—28no—
294#627—68no—
295#627—124no—
296D3×Dic3—124no—
297#542—271noSylow
298C2×C33—41no—
299C2×C33C2×#4111yescharacteristic
300C2×C33H(5,𝔽2)11yescharacteristic
301C2×C332−1+411yescharacteristic
302C32×D3—41no—
303C32×D3—41no—
304C2×C3×D4—34no—
305C2×C3×D4—34no—
306C2×C3×D4—34no—
307C22×C3×C4—34no—
308C2×#67C2×C3⋊D311yescharacteristic
309C2×#67C2×C3⋊D311yescharacteristic
310C22×Dic3—94no—
311C22×Dic3—94no—
312C22×Dic3—91no—
313C22×Dic3—184no—
314C2×D12C2×C3⋊D311yescharacteristic
315C2×C4×D3—91no—
316C2×C4×D3C2×C3⋊D311yescharacteristic
317C2×Dic6—94no—
318C2×Dic6—91no—
319C2×Dic6—94no—
320C2×Dic6—94no—
321C2×Dic6—91no—
322C2×Dic6—91no—
323C2×Dic6—184no—
324C3×C4⋊C4—34no—
325C3×C4⋊C4—91no—
326C3×C4⋊C4—91no—
327C3×C4⋊C4—91no—
328C3×C22⋊C4—24no—
329C3×C22⋊C4—34no—
330C3×C22⋊C4—91no—
331C3×C22⋊C4—91no—
332C3×C22⋊C4D3214yes—
333C3×C22⋊C4C2×C3⋊D311yescharacteristic
334C3×C42—91no—
335#217—34no—
336#217—34no—
337#217—94no—
338#217—94no—
339#217—94no—
340#217—94no—
341#217—94no—
342#217—94no—
343#217—94no—
344#217—94no—
345#217—91no—
346#217—184no—
347(C2×D3)⋊C4—91no—
348(C2×D3)⋊C4—91no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—91no—
351(C2×D3)⋊C4—91no—
352(C2×D3)⋊C4—91no—
353(C2×D3)⋊C4—91no—
354(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
355C4⋊Dic3—34no—
356C4⋊Dic3—94no—
357C4⋊Dic3—94no—
358C4⋊Dic3—91no—
359C4⋊Dic3—91no—
360C4⋊Dic3—91no—
361C4⋊Dic3—184no—
362Dic3⋊C4—34no—
363Dic3⋊C4—34no—
364Dic3⋊C4—94no—
365Dic3⋊C4—94no—
366Dic3⋊C4—94no—
367Dic3⋊C4—94no—
368Dic3⋊C4—91no—
369Dic3⋊C4—91no—
370Dic3⋊C4—91no—
371Dic3⋊C4—184no—
372Dic3⋊C4—184no—
373Dic3⋊C4C2×C3⋊D311yescharacteristic
374C4×Dic3—34no—
375C4×Dic3—94no—
376C4×Dic3—94no—
377C4×Dic3—94no—
378C4×Dic3—91no—
379C4×Dic3—91no—
380C4×Dic3—91no—
381C22×C32—28no—
382C22×C32—21no—
383C22×C32—21no—
384C22×C32—24no—
385C22×C32—21no—
386C22×C32—24no—
387C22×C32—24no—
388C22×C32—24no—
389C22×C32—44no—
390C22×C32—44no—
391C22×C32—61no—
392C22×C32—61no—
393C22×C32—61no—
394C22×C32—61no—
395C22×C32—61no—
396C22×C32—61no—
397C22×C32C23×D314yes—
398C22×C32C23×D311yescharacteristic
399C2×C3×D3—24no—
400C2×C3×D3—24no—
401C2×C3×D3—24no—
402C2×C3×D3—24no—
403C2×C3×D3—24no—
404C2×C3×D3—24no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—24no—
408C32×C4—24no—
409C32×C4—32no—
410C32×C4—44no—
411C32×C4—44no—
412C32×C4—61no—
413C3⋊Dic3—21no—
414C3⋊Dic3—21no—
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—68no—
418C3⋊Dic3—64no—
419C3⋊Dic3—61no—
420C3⋊Dic3—61no—
421C3⋊Dic3—61no—
422C3⋊Dic3—61no—
423C3⋊Dic3—64no—
424C3⋊Dic3—64no—
425C3⋊Dic3—64no—
426C3⋊Dic3—124no—
427C3⋊Dic3—124no—
428C3⋊Dic3—124no—
429C3×Dic3—24no—
430C3×Dic3—64no—
431C3×Dic3—64no—
432C3×Dic3—64no—
433C3×Dic3—64no—
434C3×Dic3#23718yes—
435C4⋊Q8—271no—
436#126—91no—
437#126—271no—
438#124—271no—
439#124—271no—
440#124—271no—
441#123—271no—
442#123—271no—
443C22⋊Q8—271no—
444C22⋊Q8—271no—
445C22⋊Q8—271no—
446#121—31no—
447C4×Q8—271no—
448C4×D4—271no—
449#117—271no—
450C33#54211yescharacteristic, complemented, Sylow
451C23×C3—24no—
452C23×C3—34no—
453C23×C3—34no—
454C23×C3C2×D3214yes—
455C23×C3C22×C3⋊D311yescharacteristic
456C22×D3C22×C3⋊D311yescharacteristic
457C22×D3C22×C3⋊D311yescharacteristic
458C3×D4—68no—
459C3×D4—124no—
460C3×D4—124no—
461C2×C3×C4—24no—
462C2×C3×C4—24no—
463C2×C3×C4—34no—
464C2×C3×C4—34no—
465C2×C3×C4—68no—
466C2×C3×C4—91no—
467C2×C3×C4—91no—
468C2×C3×C4—91no—
469C2×C3×C4—91no—
470C2×C3×C4C2×D3214yes—
471C2×C3×C4C2×D3214yes—
472C2×C3×C4C22×C3⋊D311yescharacteristic
473C2×C3×C4C22×C3⋊D311yescharacteristic
474#67—22no—
475#67—41no—
476C2×Dic3—34no—
477C2×Dic3—34no—
478C2×Dic3—34no—
479C2×Dic3—34no—
480C2×Dic3—94no—
481C2×Dic3—94no—
482C2×Dic3—94no—
483C2×Dic3—94no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—91no—
487C2×Dic3—91no—
488C2×Dic3—184no—
489C2×Dic3—184no—
490C2×Dic3—184no—
491C2×Dic3—184no—
492C2×Dic3—364no—
493C2×Dic3—364no—
494C2×Dic3—361no—
495C2×Dic3—368no—
496C2×Dic3C22×C3⋊D311yescharacteristic
497C2×Dic3C22×C3⋊D311yescharacteristic
498D12—41no—
499C4×D3—22no—
500C4×D3—361no—
501Dic6—188no—
502Dic6—182no—
503Dic6—361no—
504Dic6—364no—
505Dic6—364no—
506Dic6—361no—
507Dic6—368no—
508C2×C32—24no—
509C2×C32—24no—
510C2×C32—24no—
511C2×C32—48no—
512C2×C32—41no—
513C2×C32—44no—
514C2×C32—121no—
515C2×C32—121no—
516C2×C32C2×#23714yes—
517C2×C32#100414yes—
518C2×C32D3×#4111yescharacteristic
519C2×C32#100911yescharacteristic
520C2×C32#101014yes—
521C2×C32#101011yescharacteristic
522C3×D3—44no—
523C3×D3—44no—
524C2×Q8—271no—
525C2×Q8—271no—
526C2×Q8—271no—
527C2×D4—31no—
528C2×D4—31no—
529C2×D4—31no—
530C22×C4—31no—
531C22×C4—271no—
532C22×C4—271no—
533C4⋊C4—31no—
534C4⋊C4—91no—
535C4⋊C4—91no—
536C4⋊C4—91no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C22⋊C4—31no—
544C22⋊C4—91no—
545C22⋊C4—91no—
546C22⋊C4—271no—
547C22⋊C4—271no—
548C22⋊C4—271no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C22⋊C4—271no—
552C22⋊C4—271no—
553C22⋊C4—271no—
554C22⋊C4D3×C3⋊D311yescharacteristic
555C42—91no—
556C42—271no—
557C42—271no—
558C42—271no—
559C22×C3—28no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—24no—
567C22×C3—44no—
568C22×C3—44no—
569C22×C3—64no—
570C22×C3—64no—
571C22×C3—64no—
572C22×C3—64no—
573C22×C3—64no—
574C22×C3—64no—
575C22×C3C22×D3214yes—
576C22×C3C23×C3⋊D311yescharacteristic
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—21no—
580C2×D3—21no—
581C2×D3—21no—
582C2×D3—21no—
583C3×C4—24no—
584C3×C4—24no—
585C3×C4—21no—
586C3×C4—21no—
587C3×C4—38no—
588C3×C4—44no—
589C3×C4—44no—
590C3×C4—64no—
591C3×C4—181no—
592C3×C4—181no—
593C3×C4—181no—
594C3×C4—181no—
595Dic3—21no—
596Dic3—64no—
597Dic3—64no—
598Dic3—64no—
599Dic3—64no—
600Dic3—188no—
601Dic3—184no—
602Dic3—184no—
603Dic3—184no—
604Dic3—184no—
605Dic3—181no—
606Dic3—181no—
607Dic3—181no—
608Dic3—181no—
609Dic3—364no—
610Dic3—364no—
611Dic3—364no—
612Dic3#383012yes—
613C32—24no—
614C32#560314yescomplemented
615C32#571011yescharacteristic, complemented
616C23—31no—
617C23—31no—
618C23C2×D3×C3⋊D311yescharacteristic
619Q8—542no—
620Q8—1081no—
621Q8—1081no—
622D4—62no—
623D4—121no—
624D4—121no—
625C2×C4—31no—
626C2×C4—31no—
627C2×C4—62no—
628C2×C4—91no—
629C2×C4—91no—
630C2×C4—91no—
631C2×C4—91no—
632C2×C4—271no—
633C2×C4—271no—
634C2×C4—271no—
635C2×C4—271no—
636C2×C4—1081no—
637C2×C4—1081no—
638C2×C4C2×D3×C3⋊D311yescharacteristic
639C2×C4C2×D3×C3⋊D311yescharacteristic
640C2×C3—24no—
641C2×C3—24no—
642C2×C3—24no—
643C2×C3—48no—
644C2×C3—44no—
645C2×C3—41no—
646C2×C3—124no—
647C2×C3—124no—
648C2×C3#6429814yes—
649C2×C3D3×#23714yes—
650C2×C3#6431414yes—
651C2×C3C2×#383011yescharacteristic
652C2×C3#6436111yescharacteristic
653C2×C3#6436711yescharacteristic
654D3—41no—
655D3—41no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—61no—
660C22—61no—
661C22—61no—
662C22—61no—
663C22—61no—
664C22—61no—
665C22C22×D3×C3⋊D311yescharacteristic
666C4—21no—
667C4—21no—
668C4—32no—
669C4—61no—
670C4—181no—
671C4—181no—
672C4—181no—
673C4—181no—
674C4—541no—
675C4—541no—
676C4—541no—
677C4—541no—
678C3—24no—
679C3#1059414814yescomplemented
680C3#1059607411yescharacteristic, complemented
681C2—41no—
682C2—121no—
683C2—121no—
684C2#1172456311yescharacteristic
685C2D3×#383011yescharacteristic
686C2#1172458811yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C22⋊C4C22
prime radicalC32×#884C2
hypercenterC22⋊C4D3×C3⋊D3
hypocenterC33#542
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #11723919C2semidirect
2. C3×#64088C2semidirect
4. #67⋊(C3⋊Dic3)C2semidirect
5. #11723603C2semidirect
6. #11723600C2semidirect
7. #11723600C2semidirect
8. #11723491C2semidirect
9. #11723473C2semidirect
10. #11723429C2semidirect
11. #11723427C2semidirect
12. #11723424C2semidirect
13. #11723415C2semidirect
14. #11723395C2semidirect
15. #11723390C2semidirect
65. #64088D3semidirect
450. C33#542semidirect
614. C32#5603semidirect
615. C32#5710semidirect
679. C3#10594148semidirect
680. C3#10596074semidirect

Maximal subgroups

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

subgroupindex
#117239192
C3×#640882
C32×#8842
#67⋊(C3⋊Dic3)2
#117236032
#117236002
#117234912
#117234732
#117234292
#117234272
#117234242
#117234152
#117233952
#117233902
#105960743
#105941483