Finite Group Databasebeta

← C3×#10590722 #13157723

Subgroups — C3×#10590722 #13157723

Order 1728.

702 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
2C2×C32×D3×C8C211yesmaximal, characteristic, complemented
3C3×C4×#625C211yesmaximal, characteristic
4C3×#63642C211yesmaximal, characteristic, complemented
5C3×#63572C211yesmaximal, characteristic, complemented
6C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8C3×#5127—31nomaximal
9C3×#5111—31nomaximal
10#10590722C311yesmaximal, characteristic, direct product factor
11C2×C32×C4×D3C2211yescharacteristic
12C2×C32×C4×D3C2211yescharacteristic
13C2×C3×#625C411yescharacteristic
14C2×C33×C8C2211yescharacteristic
15C3×C4×C3⋊Dic3C2211yescharacteristic
16C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
17C2×C32×C3⋊C8C2211yescharacteristic
18C2×C32×C3⋊C8C2211yescharacteristic
19C32×ΓL(1,𝔽25)—22no—
20C32×D3×C8—22no—
21C3×#3724C411yescharacteristic
22C3×(C2×D3)⋊Dic3C411yescharacteristic
23C3×(C2×D3)⋊Dic3C411yescharacteristic
24C2×C32×M16—31no—
25C22×C32×C8—31no—
26C3×C4×#67—31no—
27C3×C4×#67—31no—
28C2×C3×ΓL(1,𝔽25)—21no—
29C2×C3×ΓL(1,𝔽25)D311yescharacteristic, complemented
30C2×C3×ΓL(1,𝔽25)C2×C311yescharacteristic, complemented
31C2×C3×D3×C8—21no—
32C2×C3×D3×C8D311yescharacteristic, complemented
33C2×C3×D3×C8C2×C311yescharacteristic, complemented
34C4×#625C2×C311yescharacteristic
35#63642C2×C311yescharacteristic, complemented
36C3×#830—31no—
37C3×#830—31no—
38C3×(C2×D3)⋊C8—31no—
39C3×(C2×D3)⋊C8—31no—
40C3×#815—31no—
41C3×#815—31no—
42C3×#815—61no—
43C3×Dic3⋊C8—31no—
44C3×Dic3⋊C8—31no—
45#63572C2×C311yescharacteristic, complemented
46(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
47(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
48C22×C32×D3C2×C411yescharacteristic
49C22×C32×D3C2×C411yescharacteristic
50C2×C33×C4C2311yescharacteristic
51C2×C3×C3⋊Dic3C2×C411yescharacteristic
52C2×C3×C3⋊Dic3C2×C411yescharacteristic
53C2×C32×Dic3C2×C411yescharacteristic
54C2×C32×Dic3C2×C411yescharacteristic
55C32×C4×D3—21no—
56C32×C4×D3—21no—
57C32×C4×D3—21no—
58C32×C4×D3—21no—
59C3×#625—22no—
60C33×C8D412yescomplemented
61C3×C3⋊(C3⋊C8)—21no—
62C32×C3⋊C8—21no—
63C32×C3⋊C8—21no—
64C3×#435—91no—
65#5127—31no—
66#5111—31no—
67C22×C32×C4—31no—
68C22×C32×C4—31no—
69C2×C3×#67—31no—
70C2×C3×#67—31no—
71C2×C3×C4×D3—21no—
72C2×C3×C4×D3—21no—
73C2×C3×C4×D3C2×D311yescharacteristic
74C2×C3×C4×D3C2×D311yescharacteristic
75C2×C3×C4×D3C22×C311yescharacteristic
76C2×C3×C4×D3C22×C311yescharacteristic
77C2×#625C3×C411yescharacteristic
78C32×M16—62no—
79C2×C32×C8—21no—
80C2×C32×C8—21no—
81C2×C32×C8—21no—
82C2×C32×C8—31no—
83C2×C32×C8—31no—
84C2×C32×C8—41no—
85C2×C32×C8—62no—
86C2×C32×C8C2×D311yescharacteristic
87C2×C32×C8C2×D311yescharacteristic
88C2×C32×C8C22×C311yescharacteristic
89C4×C3⋊Dic3C22×C311yescharacteristic
90C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
91C3×#217—31no—
92C3×#217—31no—
93C3×(C2×D3)⋊C4—31no—
94C3×(C2×D3)⋊C4—31no—
95C3×Dic3⋊C4—31no—
96C3×Dic3⋊C4—31no—
97C3×C4×Dic3—31no—
98C3×C4×Dic3—31no—
99C3×C4×Dic3—61no—
100C2×C3×C3⋊C8—21no—
101C2×C3×C3⋊C8—21no—
102C2×C3×C3⋊C8—31no—
103C2×C3×C3⋊C8—31no—
104C2×C3×C3⋊C8—61no—
105C2×C3×C3⋊C8C2×D311yescharacteristic
106C2×C3×C3⋊C8C2×D311yescharacteristic
107C2×C3×C3⋊C8C22×C311yescharacteristic
108C2×C3×C3⋊C8C22×C311yescharacteristic
109C3×ΓL(1,𝔽25)—24no—
110C3×ΓL(1,𝔽25)—22no—
111C3×ΓL(1,𝔽25)—22no—
112C3×D3×C8—24no—
113C3×D3×C8—22no—
114C3×D3×C8—22no—
115#3724C3×C411yescharacteristic
116(C2×D3)⋊Dic3C3×C411yescharacteristic
117(C2×D3)⋊Dic3C3×C411yescharacteristic
118C22×C33C22×C411yescharacteristic
119C2×C32×D3—21no—
120C2×C32×D3—21no—
121C2×C32×D3—21no—
122C2×C32×D3—21no—
123C2×C32×D3—21no—
124C2×C32×D3M1612yescomplemented
125C33×C4C2×D411yescharacteristic
126C33×C4#4111yescharacteristic
127C3×C3⋊Dic3—21no—
128C3×C3⋊Dic3—21no—
129C32×Dic3—21no—
130C32×Dic3—21no—
131C2×C3×M16—31no—
132C2×C3×M16—31no—
133C2×C3×M16—61no—
134C22×C3×C8—31no—
135C22×C3×C8—31no—
136C22×C3×C8—61no—
137C3×C4×D4—91no—
138C4×#67—31no—
139C4×#67—31no—
140C2×ΓL(1,𝔽25)C3×D311yescharacteristic, complemented
141C2×D3×C8C3×D311yescharacteristic, complemented
142C3×C4⋊C8—91no—
143C3×C22⋊C8—91no—
144C3×C22⋊C8—91no—
145C3×#97—91no—
146#830—31no—
147#830—31no—
148(C2×D3)⋊C8—31no—
149(C2×D3)⋊C8—31no—
150#815—31no—
151#815—31no—
152#815—61no—
153Dic3⋊C8—31no—
154Dic3⋊C8—31no—
155C23×C32—31no—
156C23×C32—31no—
157C22×C3×D3—21no—
158C22×C3×D3—21no—
159C22×C3×D3C4×D311yescharacteristic
160C22×C3×D3C4×D311yescharacteristic
161C22×C3×D3C2×C3×C411yescharacteristic
162C22×C3×D3C2×C3×C411yescharacteristic
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—21no—
166C2×C32×C4—31no—
167C2×C32×C4—31no—
168C2×C32×C4—41no—
169C2×C32×C4—61no—
170C2×C32×C4—61no—
171C2×C32×C4—61no—
172C2×C32×C4—61no—
173C2×C32×C4C22×D311yescharacteristic
174C2×C32×C4C22×D311yescharacteristic
175C2×C32×C4C23×C311yescharacteristic
176C2×C3⋊Dic3C2×C3×C411yescharacteristic
177C2×C3⋊Dic3C2×C3×C411yescharacteristic
178C3×#67—62no—
179C3×#67—62no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—31no—
183C2×C3×Dic3—31no—
184C2×C3×Dic3—31no—
185C2×C3×Dic3—31no—
186C2×C3×Dic3—61no—
187C2×C3×Dic3—61no—
188C2×C3×Dic3C4×D311yescharacteristic
189C2×C3×Dic3C4×D311yescharacteristic
190C2×C3×Dic3C2×C3×C411yescharacteristic
191C2×C3×Dic3C2×C3×C411yescharacteristic
192C3×C4×D3—22no—
193C3×C4×D3—22no—
194C3×C4×D3—22no—
195C3×C4×D3—22no—
196C3×C4×D3—21no—
197C3×C4×D3—21no—
198C3×C4×D3—21no—
199C3×C4×D3—21no—
200C3×C4×D3—21no—
201C3×C4×D3—21no—
202C3×C4×D3—21no—
203C3×C4×D3—21no—
204#625—22no—
205C32×C8—22no—
206C32×C8—22no—
207C32×C8—22no—
208C32×C8—42no—
209C32×C8—61no—
210C32×C8—61no—
211C32×C8#6712yescomplemented
212C32×C8#6712yescomplemented
213C32×C8C3×D412yescomplemented
214C3⋊(C3⋊C8)—21no—
215C3×C3⋊C8—22no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—21no—
218C3×C3⋊C8—21no—
219C3×C3⋊C8—21no—
220C3×C3⋊C8—21no—
221C3×C3⋊C8—62no—
222C3×C3⋊C8—61no—
223C3×C3⋊C8—61no—
224#435—91noSylow
225C2×C33C4×D411yescharacteristic
226C2×C33C2×M1611yescharacteristic
227C2×C33#13111yescharacteristic
228C32×D3—22no—
229C32×D3—41no—
230C2×C3×D4—91no—
231C22×C3×C4—31no—
232C22×C3×C4—31no—
233C22×C3×C4—31no—
234C22×C3×C4—31no—
235C22×C3×C4—61no—
236C22×C3×C4—61no—
237C2×#67—31no—
238C2×#67—31no—
239C2×C4×D3C2×C3×D311yescharacteristic
240C2×C4×D3C2×C3×D311yescharacteristic
241C3×M16—64no—
242C3×M16—62no—
243C3×M16—62no—
244C2×C3×C8—21no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—31no—
248C2×C3×C8—31no—
249C2×C3×C8—31no—
250C2×C3×C8—31no—
251C2×C3×C8—41no—
252C2×C3×C8—61no—
253C2×C3×C8—61no—
254C2×C3×C8—64no—
255C2×C3×C8—62no—
256C2×C3×C8—62no—
257C2×C3×C8—91no—
258C2×C3×C8D3211yescharacteristic
259C2×C3×C8C2×C3×D311yescharacteristic
260C2×C3×C8C2×C3×D311yescharacteristic
261C3×C4⋊C4—91no—
262C3×C22⋊C4—91no—
263C3×C22⋊C4—91no—
264C3×C42—91no—
265#217—31no—
266#217—31no—
267(C2×D3)⋊C4—31no—
268(C2×D3)⋊C4—31no—
269Dic3⋊C4—31no—
270Dic3⋊C4—31no—
271C4×Dic3—31no—
272C4×Dic3—31no—
273C4×Dic3—61no—
274C2×C3⋊C8—31no—
275C2×C3⋊C8—31no—
276C2×C3⋊C8—61no—
277C2×C3⋊C8C2×C3×D311yescharacteristic
278C2×C3⋊C8C2×C3×D311yescharacteristic
279ΓL(1,𝔽25)—22no—
280D3×C8—22no—
281C22×C32—21no—
282C22×C32—21no—
283C22×C32—21no—
284C22×C32—32no—
285C22×C32—41no—
286C22×C32—61no—
287C22×C32—61no—
288C22×C32—61no—
289C22×C32—61no—
290C22×C32—61no—
291C22×C32C2×C4×D311yescharacteristic
292C22×C32C2×C4×D311yescharacteristic
293C22×C32C22×C3×C411yescharacteristic
294C2×C3×D3—22no—
295C2×C3×D3—22no—
296C2×C3×D3—21no—
297C2×C3×D3—21no—
298C2×C3×D3—21no—
299C2×C3×D3—21no—
300C2×C3×D3—22no—
301C2×C3×D3—21no—
302C2×C3×D3—21no—
303C2×C3×D3—21no—
304C2×C3×D3—21no—
305C2×C3×D3—21no—
306C2×C3×D3—21no—
307C2×C3×D3—22no—
308C2×C3×D3—41no—
309C2×C3×D3—41no—
310C2×C3×D3ΓL(1,𝔽25)12yescomplemented
311C2×C3×D3C3×M1612yescomplemented
312C32×C4—21no—
313C32×C4—21no—
314C32×C4—21no—
315C32×C4—21no—
316C32×C4—21no—
317C32×C4—21no—
318C32×C4—41no—
319C32×C4—41no—
320C32×C4—61no—
321C32×C4—61no—
322C32×C4#23511yescharacteristic
323C32×C4#23511yescharacteristic
324C32×C4C2×#6711yescharacteristic
325C32×C4C2×#6711yescharacteristic
326C32×C4C2×C3×D411yescharacteristic
327C32×C4C3×#4111yescharacteristic
328C3⋊Dic3—21no—
329C3⋊Dic3—21no—
330C3×Dic3—22no—
331C3×Dic3—22no—
332C3×Dic3—21no—
333C3×Dic3—21no—
334C3×Dic3—21no—
335C3×Dic3—21no—
336C3×Dic3—61no—
337C3×Dic3—61no—
338C3×Dic3—61no—
339C3×Dic3—61no—
340C3×Dic3—121no—
341C3×Dic3—121no—
342C2×M16—31no—
343C22×C8—31no—
344C4×D4—91no—
345C4⋊C8—91no—
346C22⋊C8—91no—
347C22⋊C8—91no—
348#97—91no—
349C33#43511yescharacteristic, complemented, Sylow
350C23×C3—31no—
351C23×C3—31no—
352C23×C3—31no—
353C23×C3—31no—
354C23×C3—61no—
355C23×C3—61no—
356C22×D3C3×C4×D311yescharacteristic
357C22×D3C3×C4×D311yescharacteristic
358C3×D4—182no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—31no—
363C2×C3×C4—31no—
364C2×C3×C4—31no—
365C2×C3×C4—31no—
366C2×C3×C4—41no—
367C2×C3×C4—61no—
368C2×C3×C4—61no—
369C2×C3×C4—62no—
370C2×C3×C4—62no—
371C2×C3×C4—62no—
372C2×C3×C4—62no—
373C2×C3×C4—61no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—61no—
378C2×C3×C4—61no—
379C2×C3×C4—61no—
380C2×C3×C4—61no—
381C2×C3×C4—91no—
382C2×C3×C4—91no—
383C2×C3×C4C2×D3211yescharacteristic
384C2×C3×C4C22×C3×D311yescharacteristic
385C2×C3×C4C22×C3×D311yescharacteristic
386#67—62no—
387#67—62no—
388C2×Dic3—31no—
389C2×Dic3—31no—
390C2×Dic3—31no—
391C2×Dic3—31no—
392C2×Dic3—61no—
393C2×Dic3—61no—
394C2×Dic3C3×C4×D311yescharacteristic
395C2×Dic3C3×C4×D311yescharacteristic
396C4×D3—21no—
397C4×D3—21no—
398C4×D3—21no—
399C4×D3—21no—
400C3×C8—22no—
401C3×C8—22no—
402C3×C8—22no—
403C3×C8—42no—
404C3×C8—62no—
405C3×C8—62no—
406C3×C8—61no—
407C3×C8—61no—
408C3×C8—61no—
409C3×C8—61no—
410C3×C8—181no—
411C3×C8#62512yescomplemented
412C3×C8C3×#6712yescomplemented
413C3×C8C3×#6712yescomplemented
414C3⋊C8—21no—
415C3⋊C8—21no—
416C3⋊C8—62no—
417C3⋊C8—61no—
418C3⋊C8—61no—
419C2×C32—21no—
420C2×C32—21no—
421C2×C32—21no—
422C2×C32—21no—
423C2×C32—21no—
424C2×C32—21no—
425C2×C32—21no—
426C2×C32—21no—
427C2×C32—21no—
428C2×C32—41no—
429C2×C32—41no—
430C2×C32—41no—
431C2×C32—62no—
432C2×C32—121no—
433C2×C32C2×ΓL(1,𝔽25)11yescharacteristic
434C2×C32#90111yescharacteristic
435C2×C32D3×M1611yescharacteristic
436C2×C32#90711yescharacteristic
437C2×C32C4×#6711yescharacteristic
438C2×C32C4×#6711yescharacteristic
439C2×C32C3×C4×D411yescharacteristic
440C2×C32C2×C3×M1611yescharacteristic
441C2×C32C3×#13111yescharacteristic
442C3×D3—24no—
443C3×D3—22no—
444C3×D3—22no—
445C3×D3—42no—
446C3×D3—41no—
447C3×D3—41no—
448C2×D4—91no—
449C22×C4—31no—
450C22×C4—31no—
451M16—62no—
452C2×C8—31no—
453C2×C8—31no—
454C2×C8—62no—
455C2×C8—91no—
456C2×C8C3×D3211yescharacteristic
457C4⋊C4—91no—
458C22⋊C4—91no—
459C22⋊C4—91no—
460C42—91no—
461C22×C3—21no—
462C22×C3—21no—
463C22×C3—21no—
464C22×C3—32no—
465C22×C3—32no—
466C22×C3—41no—
467C22×C3—62no—
468C22×C3—62no—
469C22×C3—62no—
470C22×C3—62no—
471C22×C3—61no—
472C22×C3—61no—
473C22×C3—61no—
474C22×C3—61no—
475C22×C3—61no—
476C22×C3—61no—
477C22×C3—61no—
478C22×C3—61no—
479C22×C3—61no—
480C22×C3—61no—
481C22×C3—121no—
482C22×C3—121no—
483C22×C3C4×D3211yescharacteristic
484C22×C3C2×C3×C4×D311yescharacteristic
485C22×C3C2×C3×C4×D311yescharacteristic
486C2×D3—21no—
487C2×D3—21no—
488C2×D3—21no—
489C2×D3—21no—
490C2×D3—21no—
491C2×D3C3×ΓL(1,𝔽25)12yescomplemented
492C3×C4—21no—
493C3×C4—21no—
494C3×C4—21no—
495C3×C4—21no—
496C3×C4—21no—
497C3×C4—21no—
498C3×C4—41no—
499C3×C4—41no—
500C3×C4—62no—
501C3×C4—62no—
502C3×C4—61no—
503C3×C4—61no—
504C3×C4—61no—
505C3×C4—61no—
506C3×C4—181no—
507C3×C4—181no—
508C3×C4#379811yescharacteristic
509C3×C4C2×#62511yescharacteristic
510C3×C4C3×#23511yescharacteristic
511C3×C4C3×#23511yescharacteristic
512C3×C4C2×C3×#6711yescharacteristic
513C3×C4C2×C3×#6711yescharacteristic
514Dic3—21no—
515Dic3—21no—
516Dic3—61no—
517Dic3—61no—
518Dic3—61no—
519Dic3—61no—
520Dic3—121no—
521Dic3—121no—
522C32—21no—
523C32—21no—
524C32—21no—
525C32—41no—
526C32#511111yescharacteristic, complemented
527C32#512711yescharacteristic, complemented
528C32C3×#43511yescharacteristic, complemented
529C23—31no—
530C23—31no—
531D4—182no—
532C2×C4—31no—
533C2×C4—31no—
534C2×C4—61no—
535C2×C4—61no—
536C2×C4—61no—
537C2×C4—61no—
538C2×C4—91no—
539C2×C4—91no—
540C2×C4C2×C3×D3211yescharacteristic
541C8—61no—
542C8—61no—
543C8—181no—
544C8C3×#62512yescomplemented
545C2×C3—21no—
546C2×C3—21no—
547C2×C3—21no—
548C2×C3—21no—
549C2×C3—21no—
550C2×C3—21no—
551C2×C3—21no—
552C2×C3—21no—
553C2×C3—21no—
554C2×C3—41no—
555C2×C3—41no—
556C2×C3—41no—
557C2×C3—64no—
558C2×C3—62no—
559C2×C3—62no—
560C2×C3—122no—
561C2×C3—121no—
562C2×C3—121no—
563C2×C3D3×ΓL(1,𝔽25)11yescharacteristic
564C2×C3#6380411yescharacteristic
565C2×C3C4×#62511yescharacteristic
566C2×C3C2×C3×ΓL(1,𝔽25)11yescharacteristic
567C2×C3C3×#90111yescharacteristic
568C2×C3C3×D3×M1611yescharacteristic
569C2×C3C3×#90711yescharacteristic
570C2×C3C3×C4×#6711yescharacteristic
571C2×C3C3×C4×#6711yescharacteristic
572D3—22no—
573D3—41no—
574C22—32no—
575C22—61no—
576C22—61no—
577C22—61no—
578C22—61no—
579C22—61no—
580C22C3×C4×D3211yescharacteristic
581C4—61no—
582C4—61no—
583C4—181no—
584C4—181no—
585C4C3×#379811yescharacteristic
586C4C2×C3×#62511yescharacteristic
587C3—21no—
588C3—21no—
589C3—21no—
590C3—41no—
591C3#1059072211yescharacteristic, direct product factor
592C3C3×#511111yescharacteristic, complemented
593C3C3×#512711yescharacteristic, complemented
594C2—62no—
595C2—121no—
596C2C3×D3×ΓL(1,𝔽25)11yescharacteristic
597C2C3×#6380411yescharacteristic
598C2C3×C4×#62511yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutatorC22×C32C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC2×C33×C8C22
socleC22×C33C22×C4
prime radicalC2×C3×#625C4
cosocleC2×C32×C4C23×C3
hypercenterC2×C3×C8D32
hypocenterC32C3×#435
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C8

Complements

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

NH ≅ G/Ntype
1. C2×C32×ΓL(1,𝔽25)C2semidirect
2. C2×C32×D3×C8C2semidirect
4. C3×#63642C2semidirect
5. C3×#63572C2semidirect
6. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
10. #10590722C3direct (N × H)
29. C2×C3×ΓL(1,𝔽25)D3semidirect
30. C2×C3×ΓL(1,𝔽25)C2×C3semidirect
32. C2×C3×D3×C8D3semidirect
33. C2×C3×D3×C8C2×C3semidirect
35. #63642C2×C3semidirect
45. #63572C2×C3semidirect
46. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
47. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
60. C33×C8D4semidirect
124. C2×C32×D3M16semidirect
140. C2×ΓL(1,𝔽25)C3×D3semidirect
141. C2×D3×C8C3×D3semidirect
211. C32×C8#67semidirect
212. C32×C8#67semidirect
213. C32×C8C3×D4semidirect
310. C2×C3×D3ΓL(1,𝔽25)semidirect
311. C2×C3×D3C3×M16semidirect
349. C33#435semidirect
411. C3×C8#625semidirect
412. C3×C8C3×#67semidirect
413. C3×C8C3×#67semidirect
491. C2×D3C3×ΓL(1,𝔽25)semidirect
526. C32#5111semidirect
527. C32#5127semidirect
528. C32C3×#435semidirect
544. C8C3×#625semidirect
591. C3#10590722direct (N × H)
592. C3C3×#5111semidirect
593. C3C3×#5127semidirect

Maximal subgroups

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

subgroupindex
C2×C32×ΓL(1,𝔽25)2
C2×C32×D3×C82
C3×C4×#6252
C3×#636422
C3×#635722
C3×(C2×D3)⋊(C3⋊C8)2
C3×#51273
C3×#51113
#105907223