Finite Group Databasebeta

← #10596166⋊C3 #13153186

Subgroups — #10596166⋊C3 #13153186

Order 1728.

889 conjugacy classes of subgroups.

The subgroup lattice has 595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1H(3,𝔽3)×#125C211yesmaximal, characteristic, complemented
2#64107⋊C3C212yesmaximal, complemented
3#64104⋊C3C211yesmaximal, characteristic, complemented
4#64104⋊C3C211yesmaximal, characteristic, complemented
5#64104⋊C3C212yesmaximal, complemented
6#64103⋊C3C212yesmaximal, complemented
7#64102⋊C3C212yesmaximal, complemented
8#64101⋊C3C211yesmaximal, characteristic, complemented
9C4⋊C4×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
10C4×C4⋊((C3⋊D3)⋊C3)C211yesmaximal, characteristic, complemented
11C4×C4⋊((C3⋊D3)⋊C3)C211yesmaximal, characteristic, complemented
12#10596166C311yesmaximal, characteristic, complemented
13C3×#5695—31nomaximal
14C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic
15C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic
16C2×C4⋊((C3⋊D3)⋊C3)C2212yes—
17C2×C4⋊((C3⋊D3)⋊C3)C2212yes—
18C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
19C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
20C2×C4×(C3⋊D3)⋊C3C2212yes—
21C2×C4×(C3⋊D3)⋊C3C2212yes—
22C4⋊C4×H(3,𝔽3)C2212yes—
23C4⋊C4×H(3,𝔽3)C2211yescharacteristic
24C4⋊C4×H(3,𝔽3)C2211yescharacteristic
25C4⋊C4×H(3,𝔽3)C2212yes—
26C42×H(3,𝔽3)C2211yescharacteristic
27#3752⋊C3C2212yes—
28#3752⋊C3C2212yes—
29#3752⋊C3C2212yes—
30#3752⋊C3C2211yescharacteristic
31#3752⋊C3C2211yescharacteristic
32#3752⋊C3C2212yes—
33C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic
34C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic
35#3750⋊C3C2212yes—
36C4×(C3⋊Dic3)⋊C3C2212yes—
37C32×#125—21no—
38C32×#125D311yescharacteristic, complemented
39C32×#125C2×C311yescharacteristic, complemented
40#64107C2×C312yescomplemented
41#64104C2×C312yescomplemented
42#64104C2×C311yescharacteristic, complemented
43#64104C2×C311yescharacteristic, complemented
44#64103C2×C312yescomplemented
45#64102C2×C312yescomplemented
46#64101C2×C311yescharacteristic, complemented
47C4⋊C4×C3⋊D3C2×C311yescharacteristic, complemented
48C4×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
49C4×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
50C3×#898—32no—
51C3×#895—32no—
52C3×#895—31no—
53C3×#895—31no—
54C3×#894—32no—
55C3×#893—32no—
56C3×#892—31no—
57C3×D3×C4⋊C4—31no—
58C3×C4×D12—31no—
59C3×C4×D12—31no—
60C22×(C3⋊D3)⋊C3C2311yescharacteristic
61C22×(C3⋊D3)⋊C3C2312yes—
62C22×(C3⋊D3)⋊C3C2311yescharacteristic
63C2×C4×H(3,𝔽3)C2311yescharacteristic
64C2×C4×H(3,𝔽3)C2312yes—
65C2×C4×H(3,𝔽3)C2312yes—
66C2×C4×H(3,𝔽3)C2311yescharacteristic
67C2×C4×H(3,𝔽3)C2311yescharacteristic
68C2×(C3⋊Dic3)⋊C3C2312yes—
69C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
70C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
71C4⋊((C3⋊D3)⋊C3)—22no—
72C4⋊((C3⋊D3)⋊C3)—24no—
73C4⋊((C3⋊D3)⋊C3)—22no—
74C4⋊((C3⋊D3)⋊C3)—42no—
75C4×(C3⋊D3)⋊C3—22no—
76C4×(C3⋊D3)⋊C3—22no—
77C4×(C3⋊D3)⋊C3—42no—
78C4×(C3⋊D3)⋊C3—42no—
79C3×#553—91no—
80#5695—31no—
81#5695—91no—
82C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
83C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
84C2×C4⋊(C3⋊D3)C22×C312yes—
85C2×C4⋊(C3⋊D3)C22×C312yes—
86C2×C4×C3⋊D3C22×C311yescharacteristic
87C2×C4×C3⋊D3C22×C311yescharacteristic
88C2×C4×C3⋊D3C22×C312yes—
89C2×C4×C3⋊D3C22×C312yes—
90C2×C3×D12—32no—
91C2×C3×D12—31no—
92C2×C3×D12—31no—
93C2×C3×D12—32no—
94C2×C3×C4×D3—31no—
95C2×C3×C4×D3—31no—
96C2×C3×C4×D3—32no—
97C2×C3×C4×D3—32no—
98C32×C4⋊C4—21no—
99C32×C4⋊C4—21no—
100C32×C4⋊C4—22no—
101C32×C4⋊C4—22no—
102C32×C4⋊C4C2×D311yescharacteristic
103C32×C4⋊C4C2×D311yescharacteristic
104C32×C4⋊C4C2×D312yes—
105C32×C4⋊C4C2×D312yes—
106C32×C4⋊C4C22×C311yescharacteristic
107C32×C4⋊C4C22×C311yescharacteristic
108C32×C4⋊C4C22×C312yes—
109C32×C4⋊C4C22×C312yes—
110C32×C42—21no—
111C32×C42C2×D311yescharacteristic
112C32×C42C22×C311yescharacteristic
113#3752C22×C311yescharacteristic
114#3752C22×C311yescharacteristic
115#3752C22×C312yes—
116#3752C22×C312yes—
117#3752C22×C312yes—
118#3752C22×C312yes—
119C4⋊(C3⋊Dic3)C22×C311yescharacteristic
120C4⋊(C3⋊Dic3)C22×C311yescharacteristic
121#3750C22×C312yes—
122C4×C3⋊Dic3C22×C312yes—
123C3×(C2×D3)⋊C4—32no—
124C3×(C2×D3)⋊C4—31no—
125C3×(C2×D3)⋊C4—32no—
126C3×(C2×D3)⋊C4—31no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—32no—
129C3×C4⋊Dic3—31no—
130C3×C4⋊Dic3—31no—
131C3×Dic3⋊C4—32no—
132C3×C4×Dic3—32no—
133C22×H(3,𝔽3)C2411yescharacteristic
134C2×(C3⋊D3)⋊C3—21no—
135C2×(C3⋊D3)⋊C3—21no—
136C2×(C3⋊D3)⋊C3—21no—
137C2×(C3⋊D3)⋊C3—22no—
138C2×(C3⋊D3)⋊C3—21no—
139C2×(C3⋊D3)⋊C3—22no—
140C2×(C3⋊D3)⋊C3—22no—
141C2×(C3⋊D3)⋊C3—21no—
142C2×(C3⋊D3)⋊C3#4112yes—
143C4×H(3,𝔽3)—22no—
144C4×H(3,𝔽3)—21no—
145C4×H(3,𝔽3)—21no—
146C4×H(3,𝔽3)—22no—
147C4×H(3,𝔽3)#4112yes—
148(C3⋊Dic3)⋊C3—21no—
149(C3⋊Dic3)⋊C3—21no—
150(C3⋊Dic3)⋊C3—22no—
151C3×#126—92no—
152C3×#125—31no—
153C3×#125—31no—
154C3×#125—61no—
155C3×#125C3×D311yescharacteristic
156C3×#123—92no—
157C3×#121—92no—
158C3×#121—91no—
159C3×#121—91no—
160C3×C4×D4—91no—
161C3×C4×D4—91no—
162C3×C4×D4—92no—
163C3×#117—91no—
164C2×C3×C4⋊C4—91no—
165#898—32no—
166#898—92no—
167#895—32no—
168#895—31no—
169#895—31no—
170#895—92no—
171#895—91no—
172#895—91no—
173#894—32no—
174#894—92no—
175#893—32no—
176#893—92no—
177#892—31no—
178#892—91no—
179D3×C4⋊C4—31no—
180D3×C4⋊C4—91no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—91no—
184C4×D12—91no—
185C22×C3⋊D3C23×C311yescharacteristic
186C22×C3⋊D3C23×C312yes—
187C22×C3⋊D3C23×C311yescharacteristic
188C22×C3×D3—31no—
189C22×C3×D3—31no—
190C22×C3×D3—32no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—22no—
195C2×C32×C4—22no—
196C2×C32×C4C22×D312yes—
197C2×C32×C4C22×D312yes—
198C2×C32×C4C22×D311yescharacteristic
199C2×C32×C4C22×D311yescharacteristic
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C23×C312yes—
202C2×C32×C4C23×C312yes—
203C2×C32×C4C23×C311yescharacteristic
204C2×C32×C4C23×C311yescharacteristic
205C2×C32×C4C23×C311yescharacteristic
206C2×C3⋊Dic3C23×C311yescharacteristic
207C2×C3⋊Dic3C23×C312yes—
208C2×C3⋊Dic3C23×C311yescharacteristic
209C4⋊(C3⋊D3)—22no—
210C4⋊(C3⋊D3)—24no—
211C4⋊(C3⋊D3)—22no—
212C4⋊(C3⋊D3)—42no—
213C4×C3⋊D3—22no—
214C4×C3⋊D3—22no—
215C4×C3⋊D3—42no—
216C4×C3⋊D3—42no—
217C2×C3×Dic3—31no—
218C2×C3×Dic3—32no—
219C2×C3×Dic3—31no—
220C3×D12—64no—
221C3×D12—62no—
222C3×D12—62no—
223C3×D12—122no—
224C3×C4×D3—62no—
225C3×C4×D3—62no—
226C3×C4×D3—122no—
227C3×C4×D3—122no—
228#553—91noSylow
229C2×H(3,𝔽3)C2×#4111yescharacteristic
230C2×H(3,𝔽3)C2×#4111yescharacteristic
231C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
232(C3⋊D3)⋊C3—22no—
233(C3⋊D3)⋊C3—41no—
234(C3⋊D3)⋊C3—42no—
235C2×C3×D4—91no—
236C2×C3×D4—91no—
237C2×C3×D4—92no—
238C2×C3×D4—92no—
239C22×C3×C4—91no—
240C22×C3×C4—91no—
241C22×C3×C4—92no—
242C22×C3×C4—92no—
243C2×D12—31no—
244C2×D12—31no—
245C2×D12—32no—
246C2×D12—32no—
247C2×D12—91no—
248C2×D12—91no—
249C2×D12—92no—
250C2×D12—92no—
251C2×C4×D3—31no—
252C2×C4×D3—31no—
253C2×C4×D3—32no—
254C2×C4×D3—32no—
255C2×C4×D3—91no—
256C2×C4×D3—91no—
257C2×C4×D3—92no—
258C2×C4×D3—92no—
259C3×C4⋊C4—31no—
260C3×C4⋊C4—31no—
261C3×C4⋊C4—32no—
262C3×C4⋊C4—32no—
263C3×C4⋊C4—31no—
264C3×C4⋊C4—31no—
265C3×C4⋊C4—32no—
266C3×C4⋊C4—32no—
267C3×C4⋊C4—61no—
268C3×C4⋊C4—61no—
269C3×C4⋊C4—62no—
270C3×C4⋊C4—62no—
271C3×C4⋊C4—92no—
272C3×C4⋊C4—91no—
273C3×C4⋊C4—91no—
274C3×C4⋊C4C2×C3×D311yescharacteristic
275C3×C4⋊C4C2×C3×D311yescharacteristic
276C3×C4⋊C4C2×C3×D312yes—
277C3×C4⋊C4C2×C3×D312yes—
278C3×C22⋊C4—92no—
279C3×C22⋊C4—91no—
280C3×C22⋊C4—92no—
281C3×C22⋊C4—92no—
282C3×C22⋊C4—91no—
283C3×C22⋊C4—92no—
284C3×C42—31no—
285C3×C42—31no—
286C3×C42—61no—
287C3×C42—92no—
288C3×C42C2×C3×D311yescharacteristic
289(C2×D3)⋊C4—31no—
290(C2×D3)⋊C4—31no—
291(C2×D3)⋊C4—32no—
292(C2×D3)⋊C4—32no—
293(C2×D3)⋊C4—32no—
294(C2×D3)⋊C4—32no—
295(C2×D3)⋊C4—91no—
296(C2×D3)⋊C4—91no—
297(C2×D3)⋊C4—92no—
298(C2×D3)⋊C4—92no—
299(C2×D3)⋊C4—92no—
300(C2×D3)⋊C4—92no—
301C4⋊Dic3—31no—
302C4⋊Dic3—31no—
303C4⋊Dic3—91no—
304C4⋊Dic3—91no—
305Dic3⋊C4—32no—
306Dic3⋊C4—92no—
307C4×Dic3—32no—
308C4×Dic3—92no—
309C22×C32—21no—
310C22×C32C23×D311yescharacteristic
311C22×C32C24×C311yescharacteristic
312C2×C3⋊D3—21no—
313C2×C3⋊D3—21no—
314C2×C3⋊D3—21no—
315C2×C3⋊D3—22no—
316C2×C3⋊D3—21no—
317C2×C3⋊D3—22no—
318C2×C3⋊D3—22no—
319C2×C3⋊D3—21no—
320C2×C3⋊D3C3×#4112yes—
321C2×C3×D3—32no—
322C2×C3×D3—61no—
323C2×C3×D3—61no—
324C2×C3×D3—61no—
325C2×C3×D3—62no—
326C2×C3×D3—61no—
327C2×C3×D3—62no—
328C2×C3×D3—62no—
329C2×C3×D3—61no—
330C32×C4—22no—
331C32×C4—21no—
332C32×C4—21no—
333C32×C4—22no—
334C32×C4—22no—
335C32×C4—21no—
336C32×C4—21no—
337C32×C4—22no—
338C32×C4—22no—
339C32×C4—41no—
340C32×C4—42no—
341C32×C4—41no—
342C32×C4—42no—
343C32×C4#23912yes—
344C32×C4C3×#4112yes—
345C3⋊Dic3—21no—
346C3⋊Dic3—21no—
347C3⋊Dic3—22no—
348C3×Dic3—61no—
349C3×Dic3—61no—
350C3×Dic3—62no—
351#126—92no—
352#125(C3⋊D3)⋊C311yescharacteristic, complemented
353#123—92no—
354#121—92no—
355#121—91no—
356#121—91no—
357C4×D4—92no—
358C4×D4—91no—
359C4×D4—91no—
360#117—91no—
361C2×C4⋊C4—91no—
362H(3,𝔽3)#55311yescharacteristic, complemented, Sylow
363C23×C3—91no—
364C23×C3—91no—
365C23×C3—92no—
366C22×D3—31no—
367C22×D3—31no—
368C22×D3—32no—
369C22×D3—91no—
370C22×D3—91no—
371C22×D3—92no—
372C3×D4—182no—
373C3×D4—182no—
374C3×D4—184no—
375C3×D4—362no—
376C2×C3×C4—31no—
377C2×C3×C4—31no—
378C2×C3×C4—31no—
379C2×C3×C4—31no—
380C2×C3×C4—32no—
381C2×C3×C4—32no—
382C2×C3×C4—32no—
383C2×C3×C4—32no—
384C2×C3×C4—31no—
385C2×C3×C4—31no—
386C2×C3×C4—61no—
387C2×C3×C4—61no—
388C2×C3×C4—61no—
389C2×C3×C4—62no—
390C2×C3×C4—62no—
391C2×C3×C4—91no—
392C2×C3×C4—92no—
393C2×C3×C4—91no—
394C2×C3×C4—182no—
395C2×C3×C4—182no—
396C2×C3×C4—362no—
397C2×C3×C4—362no—
398C2×C3×C4C22×C3×D312yes—
399C2×C3×C4C22×C3×D312yes—
400C2×C3×C4C22×C3×D311yescharacteristic
401C2×C3×C4C22×C3×D311yescharacteristic
402C2×C3×C4C22×C3×D311yescharacteristic
403C2×Dic3—31no—
404C2×Dic3—32no—
405C2×Dic3—31no—
406C2×Dic3—91no—
407C2×Dic3—92no—
408C2×Dic3—91no—
409D12—62no—
410D12—64no—
411D12—62no—
412D12—122no—
413D12—182no—
414D12—182no—
415D12—184no—
416D12—362no—
417C4×D3—62no—
418C4×D3—62no—
419C4×D3—122no—
420C4×D3—122no—
421C4×D3—182no—
422C4×D3—182no—
423C4×D3—362no—
424C4×D3—362no—
425C2×C32—21no—
426C2×C32—21no—
427C2×C32—21no—
428C2×C32C2×#23911yescharacteristic
429C2×C32D3×#4111yescharacteristic
430C2×C32#100911yescharacteristic
431C2×C32C2×C3×#4111yescharacteristic
432C2×C32C2×C3×#4111yescharacteristic
433C2×C32C3×H(5,𝔽2)11yescharacteristic
434C3⋊D3—22no—
435C3⋊D3—41no—
436C3⋊D3—42no—
437C3×D3—62no—
438C3×D3—121no—
439C3×D3—122no—
440C2×D4—92no—
441C2×D4—91no—
442C2×D4—91no—
443C2×D4—92no—
444C22×C4—91no—
445C22×C4—91no—
446C22×C4—92no—
447C22×C4—92no—
448C4⋊C4—91no—
449C4⋊C4—92no—
450C4⋊C4—91no—
451C4⋊C4C2×(C3⋊D3)⋊C311yescharacteristic
452C4⋊C4C2×(C3⋊D3)⋊C311yescharacteristic
453C4⋊C4C2×(C3⋊D3)⋊C312yes—
454C4⋊C4C2×(C3⋊D3)⋊C312yes—
455C22⋊C4—92no—
456C22⋊C4—91no—
457C22⋊C4—92no—
458C22⋊C4—92no—
459C22⋊C4—91no—
460C22⋊C4—92no—
461C42—92no—
462C42C2×(C3⋊D3)⋊C311yescharacteristic
463C22×C3—31no—
464C22×C3—31no—
465C22×C3—61no—
466C22×C3—92no—
467C22×C3—181no—
468C22×C3—181no—
469C22×C3—181no—
470C22×C3—182no—
471C22×C3—182no—
472C22×C3—181no—
473C22×C3—182no—
474C22×C3—181no—
475C22×C3C23×C3×D311yescharacteristic
476C2×D3—32no—
477C2×D3—61no—
478C2×D3—61no—
479C2×D3—61no—
480C2×D3—62no—
481C2×D3—61no—
482C2×D3—62no—
483C2×D3—62no—
484C2×D3—61no—
485C2×D3—92no—
486C2×D3—181no—
487C2×D3—181no—
488C2×D3—181no—
489C2×D3—182no—
490C2×D3—182no—
491C2×D3—181no—
492C2×D3—182no—
493C2×D3—181no—
494C3×C4—22no—
495C3×C4—21no—
496C3×C4—21no—
497C3×C4—22no—
498C3×C4—32no—
499C3×C4—32no—
500C3×C4—61no—
501C3×C4—62no—
502C3×C4—62no—
503C3×C4—61no—
504C3×C4—61no—
505C3×C4—62no—
506C3×C4—61no—
507C3×C4—62no—
508C3×C4—62no—
509C3×C4—121no—
510C3×C4—122no—
511C3×C4—121no—
512C3×C4—122no—
513C3×C4—181no—
514C3×C4—181no—
515C3×C4—182no—
516C3×C4C3×#23912yes—
517Dic3—61no—
518Dic3—61no—
519Dic3—62no—
520Dic3—181no—
521Dic3—181no—
522Dic3—182no—
523C32—21no—
524C32#569511yescharacteristic, complemented
525C32C3×#55311yescharacteristic, complemented
526C23—91no—
527C23—91no—
528C23—92no—
529D4—184no—
530D4—182no—
531D4—182no—
532D4—362no—
533C2×C4—91no—
534C2×C4—92no—
535C2×C4—91no—
536C2×C4—182no—
537C2×C4—182no—
538C2×C4—362no—
539C2×C4—362no—
540C2×C4C22×(C3⋊D3)⋊C312yes—
541C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
542C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
543C2×C4C22×(C3⋊D3)⋊C312yes—
544C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
545C2×C3—31no—
546C2×C3—31no—
547C2×C3—31no—
548C2×C3—31no—
549C2×C3—31no—
550C2×C3—31no—
551C2×C3—61no—
552C2×C3—61no—
553C2×C3—61no—
554C2×C3—182no—
555C2×C3—361no—
556C2×C3—362no—
557C2×C3C2×C3×#23911yescharacteristic
558C2×C3C3×D3×#4111yescharacteristic
559C2×C3C3×#100911yescharacteristic
560D3—62no—
561D3—121no—
562D3—122no—
563D3—182no—
564D3—361no—
565D3—362no—
566C22—92no—
567C22—181no—
568C22—181no—
569C22—181no—
570C22—182no—
571C22—181no—
572C22—182no—
573C22—182no—
574C22—181no—
575C22C23×(C3⋊D3)⋊C311yescharacteristic
576C4—22no—
577C4—21no—
578C4—21no—
579C4—22no—
580C4—181no—
581C4—181no—
582C4—182no—
583C4#8872212yes—
584C3—31no—
585C3—31no—
586C3—61no—
587C3C3×#569511yescharacteristic
588C2—182no—
589C2—361no—
590C2—362no—
591C2C2×#8872211yescharacteristic
592C2#41×(C3⋊D3)⋊C311yescharacteristic
593C2#1172263811yescharacteristic
subgroupG/H
centerC22C23×(C3⋊D3)⋊C3
commutator, cosocleC22×C32C24×C3
Frattini, socleC22×C3C23×C3×D3
FittingH(3,𝔽3)×#125C2
hypercenter#125(C3⋊D3)⋊C3
hypocenterC32C3×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #125

Complements

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

NH ≅ G/Ntype
1. H(3,𝔽3)×#125C2semidirect
2. #64107⋊C3C2semidirect
3. #64104⋊C3C2semidirect
4. #64104⋊C3C2semidirect
5. #64104⋊C3C2semidirect
6. #64103⋊C3C2semidirect
7. #64102⋊C3C2semidirect
8. #64101⋊C3C2semidirect
9. C4⋊C4×(C3⋊D3)⋊C3C2semidirect
10. C4×C4⋊((C3⋊D3)⋊C3)C2semidirect
11. C4×C4⋊((C3⋊D3)⋊C3)C2semidirect
12. #10596166C3semidirect
38. C32×#125D3semidirect
39. C32×#125C2×C3semidirect
40. #64107C2×C3semidirect
41. #64104C2×C3semidirect
42. #64104C2×C3semidirect
43. #64104C2×C3semidirect
44. #64103C2×C3semidirect
45. #64102C2×C3semidirect
46. #64101C2×C3semidirect
47. C4⋊C4×C3⋊D3C2×C3semidirect
48. C4×C4⋊(C3⋊D3)C2×C3semidirect
49. C4×C4⋊(C3⋊D3)C2×C3semidirect
352. #125(C3⋊D3)⋊C3semidirect
362. H(3,𝔽3)#553semidirect
524. C32#5695semidirect
525. C32C3×#553semidirect

Maximal subgroups

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

subgroupindex
H(3,𝔽3)×#1252
#64107⋊C32
#64104⋊C32
#64103⋊C32
#64102⋊C32
#64101⋊C32
C4⋊C4×(C3⋊D3)⋊C32
C4×C4⋊((C3⋊D3)⋊C3)2
#105961663
C3×#56953