Finite Group Databasebeta

← C3×#70203 #11788123

Subgroups — C3×#70203 #11788123

Order 1152.

925 conjugacy classes of subgroups.

The subgroup lattice has 653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#938C211yesmaximal, characteristic
2C22×C3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
3C2×C32×#102C211yesmaximal, characteristic, complemented
4C2×C3×#832C211yesmaximal, characteristic, complemented
5C3×#4987C211yesmaximal, characteristic, complemented
6C3×#4551C211yesmaximal, characteristic, complemented
7C3×#4529C211yesmaximal, characteristic, complemented
8C3×#1895—31nomaximal
9#70203C311yesmaximal, characteristic, direct product factor
10C22×C32×D4C2211yescharacteristic
11C22×C3×#67—21no—
12C22×C3×C4×D3C2211yescharacteristic
13C22×C32×C8C2211yescharacteristic
14C2×C32×C4⋊C4C2211yescharacteristic
15C2×C3×#217—21no—
16C3×#938—22no—
17C3×#938C414yescomplemented
18C2×C3×(C2×D3)⋊C4—21no—
19C2×C3×C4⋊Dic3C2211yescharacteristic
20C2×C3×C4⋊Dic3C2211yescharacteristic
21C22×C3×C3⋊C8C2211yescharacteristic
22C2×C3×ΓL(1,𝔽25)—22no—
23C2×C3×ΓL(1,𝔽25)—22no—
24C2×C3×ΓL(1,𝔽25)—22no—
25C32×#102—22no—
26C3×#832—22no—
27C3×C3⋊#95—21no—
28C22×C3×M16—31no—
29C2×C3×#121—31no—
30C2×#938C2×C311yescharacteristic
31C22×ΓL(1,𝔽25)C2×C311yescharacteristic, complemented
32C2×C3×#102—21no—
33C2×C3×#102—31no—
34C2×C3×#102D311yescharacteristic, complemented
35C2×C3×#102C2×C311yescharacteristic, complemented
36C3×#380—31no—
37C2×#832C2×C311yescharacteristic, complemented
38#4987C2×C311yescharacteristic, complemented
39C3×#340—31no—
40C3×#340—31no—
41#4551C2×C311yescharacteristic, complemented
42#4529C2×C311yescharacteristic, complemented
43C24×C32—21no—
44C23×C3×D3D411yescharacteristic
45C2×C32×D4—21no—
46C2×C32×D4—21no—
47C2×C32×D4—21no—
48C2×C32×D4—21no—
49C2×C32×D4—21no—
50C2×C32×D4C2×C412yes—
51C22×C32×C4—21no—
52C22×C32×C4C2311yescharacteristic
53C2×C3×#67—24no—
54C2×C3×#67—42no—
55C2×C3×#67—42no—
56C22×C3×Dic3—21no—
57C22×C3×Dic3—21no—
58C22×C3×Dic3D411yescharacteristic
59C2×C3×C4×D3—21no—
60C2×C3×C4×D3—21no—
61C2×C3×C4×D3—21no—
62C2×C3×C4×D3—21no—
63C2×C3×C4×D3C2×C412yes—
64C2×C3×C4×D3D412yes—
65C2×C32×C8—21no—
66C2×C32×C8—21no—
67C2×C32×C8D412yescomplemented
68C32×C4⋊C4—21no—
69C32×C4⋊C4—21no—
70C3×#217—24no—
71C3×(C2×D3)⋊C4—42no—
72C3×C4⋊Dic3—21no—
73C3×C4⋊Dic3—21no—
74C3×C4⋊Dic3—21no—
75C3×C4⋊Dic3C2×C412yes—
76C2×C3×C3⋊C8—21no—
77C2×C3×C3⋊C8—21no—
78C2×C3×C3⋊C8D412yescomplemented
79C3×ΓL(1,𝔽25)—28no—
80#1895—31noSylow
81C22×C3×D4—21no—
82C22×C3×D4—61no—
83C22×C3×D4C2×D311yescharacteristic
84C22×C3×D4C22×C311yescharacteristic
85C23×C3×C4—31no—
86C22×#67—21no—
87C22×C4×D3C22×C311yescharacteristic
88C2×C3×M16—62no—
89C2×C3×M16—62no—
90C2×C3×M16—62no—
91C22×C3×C8—21no—
92C22×C3×C8—31no—
93C22×C3×C8C2×D311yescharacteristic
94C22×C3×C8C22×C311yescharacteristic
95C3×#121—34no—
96C3×#121—62no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—31no—
99C2×C3×C4⋊C4—31no—
100C2×C3×C4⋊C4C2×D311yescharacteristic
101C2×C3×C4⋊C4C22×C311yescharacteristic
102C2×C3×C22⋊C4—61no—
103C2×C3×C22⋊C4—61no—
104C2×#217—21no—
105#938—22no—
106#938C3×C414yescomplemented
107C2×(C2×D3)⋊C4—21no—
108C2×C4⋊Dic3C22×C311yescharacteristic
109C2×C4⋊Dic3C22×C311yescharacteristic
110C22×C3⋊C8C22×C311yescharacteristic
111C2×ΓL(1,𝔽25)—22no—
112C2×ΓL(1,𝔽25)—22no—
113C2×ΓL(1,𝔽25)—22no—
114C3×#102—24no—
115C3×#102—22no—
116C3×#102—22no—
117C3×#102—62no—
118C3×#95—61no—
119#832—22no—
120C3⋊#95—21no—
121C23×C32—22no—
122C23×C32—41no—
123C23×C32—41no—
124C23×C32—41no—
125C23×C32—41no—
126C23×C32—41no—
127C23×C32—41no—
128C23×C32C2×D411yescharacteristic
129C22×C3×D3—21no—
130C22×C3×D3—21no—
131C22×C3×D3—21no—
132C22×C3×D3—21no—
133C22×C3×D3—21no—
134C22×C3×D3—21no—
135C22×C3×D3C22⋊C412yes—
136C32×D4—22no—
137C32×D4—22no—
138C32×D4—41no—
139C32×D4—41no—
140C2×C32×C4—41no—
141C2×C32×C4—41no—
142C2×C32×C4—41no—
143C2×C32×C4C22×C411yescharacteristic
144C2×C32×C4C2×D411yescharacteristic
145C2×C32×C4C2×D411yescharacteristic
146C2×C32×C4C2×D411yescharacteristic
147C2×C32×C4#4111yescharacteristic
148C2×C32×C4#4111yescharacteristic
149C3×#67—48no—
150C2×C3×Dic3—21no—
151C2×C3×Dic3—21no—
152C2×C3×Dic3—22no—
153C2×C3×Dic3—41no—
154C2×C3×Dic3—41no—
155C2×C3×Dic3—41no—
156C2×C3×Dic3—41no—
157C2×C3×Dic3—41no—
158C2×C3×Dic3C22⋊C412yes—
159C3×C4×D3—22no—
160C3×C4×D3—22no—
161C3×C4×D3—22no—
162C3×C4×D3—22no—
163C32×C8—22no—
164C3×C3⋊C8—22no—
165C22×M16—31no—
166C2×#121—31no—
167C2×#102—31no—
168C2×#102C3×D311yescharacteristic, complemented
169#380—31no—
170#340—31no—
171#340—31no—
172C24×C3—21no—
173C24×C3—21no—
174C24×C3—31no—
175C24×C3—41no—
176C23×D3C3×D411yescharacteristic
177C2×C3×D4—22no—
178C2×C3×D4—22no—
179C2×C3×D4—21no—
180C2×C3×D4—21no—
181C2×C3×D4—21no—
182C2×C3×D4—21no—
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—22no—
190C2×C3×D4—41no—
191C2×C3×D4—41no—
192C2×C3×D4—41no—
193C2×C3×D4—64no—
194C2×C3×D4—122no—
195C2×C3×D4—122no—
196C2×C3×D4C4×D312yes—
197C2×C3×D4C2×C3×C412yes—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—31no—
202C22×C3×C4—32no—
203C22×C3×C4—32no—
204C22×C3×C4—41no—
205C22×C3×C4—61no—
206C22×C3×C4—61no—
207C22×C3×C4—61no—
208C22×C3×C4—61no—
209C22×C3×C4—61no—
210C22×C3×C4—61no—
211C22×C3×C4C22×D311yescharacteristic
212C22×C3×C4C23×C311yescharacteristic
213C2×#67—24no—
214C2×#67—42no—
215C2×#67—42no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3C3×D411yescharacteristic
219C2×C4×D3—21no—
220C2×C4×D3—21no—
221C2×C4×D3—21no—
222C2×C4×D3—21no—
223C2×C4×D3C2×C3×C412yes—
224C2×C4×D3C3×D412yes—
225C3×M16—68no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—22no—
231C2×C3×C8—32no—
232C2×C3×C8—41no—
233C2×C3×C8—41no—
234C2×C3×C8—61no—
235C2×C3×C8—61no—
236C2×C3×C8#6712yescomplemented
237C2×C3×C8C3×D412yescomplemented
238C3×C4⋊C4—22no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—32no—
244C3×C4⋊C4—41no—
245C3×C4⋊C4—61no—
246C3×C4⋊C4—61no—
247C3×C4⋊C4—61no—
248C3×C22⋊C4—64no—
249C3×C22⋊C4—122no—
250#217—24no—
251(C2×D3)⋊C4—42no—
252C4⋊Dic3—21no—
253C4⋊Dic3—21no—
254C4⋊Dic3—21no—
255C4⋊Dic3C2×C3×C412yes—
256C2×C3⋊C8—21no—
257C2×C3⋊C8—21no—
258C2×C3⋊C8C3×D412yescomplemented
259ΓL(1,𝔽25)—28no—
260C22×C32—42no—
261C22×C32—42no—
262C22×C32—42no—
263C22×C32—81no—
264C22×C32—81no—
265C22×C32—81no—
266C22×C32—81no—
267C22×C32C2×C22⋊C411yescharacteristic
268C22×C32#12111yescharacteristic
269C22×C32#12111yescharacteristic
270C22×C32AGL(1,ℤ/8)11yescharacteristic
271C22×C32AGL(1,ℤ/8)11yescharacteristic
272C22×C32AGL(1,ℤ/8)11yescharacteristic
273C22×C32#13711yescharacteristic
274C2×C3×D3—22no—
275C2×C3×D3—22no—
276C2×C3×D3—22no—
277C2×C3×D3—41no—
278C2×C3×D3—41no—
279C2×C3×D3—41no—
280C2×C3×D3—41no—
281C32×C4—81no—
282C32×C4C4×D411yescharacteristic
283C32×C4C4×D411yescharacteristic
284C32×C4#12011yescharacteristic
285C32×C4#12311yescharacteristic
286C3×Dic3—22no—
287C3×Dic3—42no—
288C3×Dic3—81no—
289C22×D4—61no—
290C22×D4C2×C3×D311yescharacteristic
291C23×C4—31no—
292C2×M16—62no—
293C2×M16—62no—
294C2×M16—62no—
295C22×C8—31no—
296C22×C8C2×C3×D311yescharacteristic
297#121—34no—
298#121—62no—
299C2×C4⋊C4—31no—
300C2×C4⋊C4—31no—
301C2×C4⋊C4C2×C3×D311yescharacteristic
302C2×C22⋊C4—61no—
303C2×C22⋊C4—61no—
304#102—22no—
305#102—62no—
306#95—61no—
307C23×C3—22no—
308C23×C3—22no—
309C23×C3—21no—
310C23×C3—32no—
311C23×C3—42no—
312C23×C3—42no—
313C23×C3—42no—
314C23×C3—41no—
315C23×C3—41no—
316C23×C3—41no—
317C23×C3—41no—
318C23×C3—41no—
319C23×C3—41no—
320C23×C3—41no—
321C23×C3—41no—
322C23×C3—41no—
323C23×C3—41no—
324C23×C3—41no—
325C23×C3—41no—
326C23×C3—61no—
327C23×C3—61no—
328C23×C3—61no—
329C23×C3—61no—
330C23×C3—61no—
331C23×C3—61no—
332C23×C3—81no—
333C23×C3—81no—
334C23×C3—81no—
335C23×C3—81no—
336C23×C3D3×D411yescharacteristic
337C23×C3C2×C3×D411yescharacteristic
338C22×D3—21no—
339C22×D3—21no—
340C22×D3—21no—
341C22×D3—21no—
342C22×D3—21no—
343C22×D3—21no—
344C22×D3C3×C22⋊C412yes—
345C3×D4—24no—
346C3×D4—22no—
347C3×D4—22no—
348C3×D4—22no—
349C3×D4—22no—
350C3×D4—42no—
351C3×D4—42no—
352C3×D4—42no—
353C3×D4—41no—
354C3×D4—41no—
355C3×D4—41no—
356C3×D4—41no—
357C3×D4—128no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—32no—
365C2×C3×C4—42no—
366C2×C3×C4—41no—
367C2×C3×C4—41no—
368C2×C3×C4—41no—
369C2×C3×C4—41no—
370C2×C3×C4—41no—
371C2×C3×C4—41no—
372C2×C3×C4—61no—
373C2×C3×C4—61no—
374C2×C3×C4—62no—
375C2×C3×C4—62no—
376C2×C3×C4—62no—
377C2×C3×C4—62no—
378C2×C3×C4—62no—
379C2×C3×C4—81no—
380C2×C3×C4—81no—
381C2×C3×C4—121no—
382C2×C3×C4—121no—
383C2×C3×C4—121no—
384C2×C3×C4—121no—
385C2×C3×C4—121no—
386C2×C3×C4C2×C4×D311yescharacteristic
387C2×C3×C4#23511yescharacteristic
388C2×C3×C4D3×D411yescharacteristic
389C2×C3×C4D3×D411yescharacteristic
390C2×C3×C4#23711yescharacteristic
391C2×C3×C4C2×#6711yescharacteristic
392C2×C3×C4C22×C3×C411yescharacteristic
393C2×C3×C4C2×C3×D411yescharacteristic
394C2×C3×C4C2×C3×D411yescharacteristic
395C2×C3×C4C2×C3×D411yescharacteristic
396C2×C3×C4C3×#4111yescharacteristic
397C2×C3×C4C3×#4111yescharacteristic
398#67—48no—
399C2×Dic3—21no—
400C2×Dic3—21no—
401C2×Dic3—22no—
402C2×Dic3—41no—
403C2×Dic3—41no—
404C2×Dic3—41no—
405C2×Dic3—41no—
406C2×Dic3—41no—
407C2×Dic3C3×C22⋊C412yes—
408C4×D3—22no—
409C4×D3—22no—
410C4×D3—22no—
411C4×D3—22no—
412C3×C8—22no—
413C3×C8—22no—
414C3×C8—42no—
415C3×C8—62no—
416C3⋊C8—22no—
417C2×C32—82no—
418C2×C32#38611yescharacteristic
419C2×C32#41711yescharacteristic
420C2×C32#41811yescharacteristic
421C2×C32#46811yescharacteristic
422C2×C32#46811yescharacteristic
423C2×C32#46911yescharacteristic
424C2×C32#46911yescharacteristic
425C3×D3—42no—
426C24—21no—
427C24—31no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—64no—
434C2×D4—122no—
435C2×D4—122no—
436C2×D4C3×C4×D312yes—
437C22×C4—21no—
438C22×C4—31no—
439C22×C4—32no—
440C22×C4—32no—
441C22×C4—61no—
442C22×C4—61no—
443C22×C4—61no—
444C22×C4—61no—
445C22×C4—61no—
446C22×C4—61no—
447C22×C4C22×C3×D311yescharacteristic
448M16—68no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—32no—
452C2×C8—61no—
453C2×C8—61no—
454C2×C8C3×#6712yescomplemented
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—32no—
458C4⋊C4—61no—
459C4⋊C4—61no—
460C4⋊C4—61no—
461C22⋊C4—64no—
462C22⋊C4—122no—
463C22×C3—21no—
464C22×C3—21no—
465C22×C3—21no—
466C22×C3—21no—
467C22×C3—21no—
468C22×C3—21no—
469C22×C3—21no—
470C22×C3—44no—
471C22×C3—42no—
472C22×C3—42no—
473C22×C3—42no—
474C22×C3—42no—
475C22×C3—42no—
476C22×C3—42no—
477C22×C3—62no—
478C22×C3—62no—
479C22×C3—62no—
480C22×C3—82no—
481C22×C3—82no—
482C22×C3—82no—
483C22×C3—82no—
484C22×C3—82no—
485C22×C3—82no—
486C22×C3—81no—
487C22×C3—81no—
488C22×C3—81no—
489C22×C3—81no—
490C22×C3—81no—
491C22×C3—81no—
492C22×C3—81no—
493C22×C3—81no—
494C22×C3—121no—
495C22×C3—121no—
496C22×C3—121no—
497C22×C3—121no—
498C22×C3D3×C22⋊C411yescharacteristic
499C22×C3#88411yescharacteristic
500C22×C3#91111yescharacteristic
501C22×C3#91111yescharacteristic
502C22×C3#91411yescharacteristic
503C22×C3#91511yescharacteristic
504C22×C3#93811yescharacteristic
505C22×C3C2×C3×C22⋊C411yescharacteristic
506C22×C3C3×#12111yescharacteristic
507C22×C3C3×#12111yescharacteristic
508C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
509C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
510C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
511C22×C3C3×#13711yescharacteristic
512C2×D3—22no—
513C2×D3—22no—
514C2×D3—22no—
515C2×D3—41no—
516C2×D3—41no—
517C2×D3—41no—
518C2×D3—41no—
519C3×C4—21no—
520C3×C4—21no—
521C3×C4—21no—
522C3×C4—21no—
523C3×C4—62no—
524C3×C4—82no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4—122no—
528C3×C4—241no—
529C3×C4#67⋊C411yescharacteristic
530C3×C4#88311yescharacteristic
531C3×C4C4×#6711yescharacteristic
532C3×C4#93711yescharacteristic
533C3×C4C3×C4×D411yescharacteristic
534C3×C4C3×C4×D411yescharacteristic
535C3×C4C3×#12011yescharacteristic
536C3×C4C3×#12311yescharacteristic
537Dic3—22no—
538Dic3—42no—
539Dic3—81no—
540C32#189511yescharacteristic, complemented, Sylow
541C23—22no—
542C23—32no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—61no—
550C23—61no—
551C23—61no—
552C23—61no—
553C23—61no—
554C23—61no—
555C23C3×D3×D411yescharacteristic
556D4—22no—
557D4—22no—
558D4—41no—
559D4—41no—
560D4—128no—
561C2×C4—32no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—61no—
566C2×C4—61no—
567C2×C4—62no—
568C2×C4—62no—
569C2×C4—62no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—121no—
573C2×C4—121no—
574C2×C4—121no—
575C2×C4—121no—
576C2×C4—121no—
577C2×C4C2×C3×C4×D311yescharacteristic
578C2×C4C3×#23511yescharacteristic
579C2×C4C3×D3×D411yescharacteristic
580C2×C4C3×D3×D411yescharacteristic
581C2×C4C3×#23711yescharacteristic
582C2×C4C2×C3×#6711yescharacteristic
583C8—22no—
584C8—62no—
585C2×C3—21no—
586C2×C3—21no—
587C2×C3—21no—
588C2×C3—21no—
589C2×C3—21no—
590C2×C3—21no—
591C2×C3—21no—
592C2×C3—84no—
593C2×C3—82no—
594C2×C3—82no—
595C2×C3—122no—
596C2×C3#477011yescharacteristic
597C2×C3#477111yescharacteristic
598C2×C3#478011yescharacteristic
599C2×C3#478211yescharacteristic
600C2×C3#495611yescharacteristic
601C2×C3#515911yescharacteristic
602C2×C3#517411yescharacteristic
603C2×C3C3×#38611yescharacteristic
604C2×C3C3×#41711yescharacteristic
605C2×C3C3×#41811yescharacteristic
606C2×C3C3×#46811yescharacteristic
607C2×C3C3×#46811yescharacteristic
608C2×C3C3×#46911yescharacteristic
609C2×C3C3×#46911yescharacteristic
610D3—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—62no—
615C22—62no—
616C22—62no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—121no—
622C22—121no—
623C22—121no—
624C22—121no—
625C22C3×D3×C22⋊C411yescharacteristic
626C22C3×#88411yescharacteristic
627C22C3×#91111yescharacteristic
628C22C3×#91111yescharacteristic
629C22C3×#91411yescharacteristic
630C22C3×#91511yescharacteristic
631C22C3×#93811yescharacteristic
632C4—62no—
633C4—81no—
634C4—122no—
635C4—241no—
636C4C3×#67⋊C411yescharacteristic
637C4C3×#88311yescharacteristic
638C4C3×C4×#6711yescharacteristic
639C4C3×#93711yescharacteristic
640C3—21no—
641C3#7020311yescharacteristic, direct product factor
642C3C3×#189511yescharacteristic, complemented
643C2—82no—
644C2—122no—
645C2C3×#477011yescharacteristic
646C2C3×#477111yescharacteristic
647C2C3×#478011yescharacteristic
648C2C3×#478211yescharacteristic
649C2C3×#495611yescharacteristic
650C2C3×#515911yescharacteristic
651C2C3×#517411yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutatorC2×C3×C4C22×C3×C4
FrattiniC22×C4C22×C3×D3
FittingC2×C32×#102C2
socleC23×C32C2×D4
prime radicalC2×C3×#938C2
cosocleC22×C3×C4C23×C3
hypercenterC2×C3×#102D3
hypocenterC3C3×#1895
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C2×C3×#102

Complements

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

NH ≅ G/Ntype
2. C22×C3×ΓL(1,𝔽25)C2semidirect
3. C2×C32×#102C2semidirect
4. C2×C3×#832C2semidirect
5. C3×#4987C2semidirect
6. C3×#4551C2semidirect
7. C3×#4529C2semidirect
9. #70203C3direct (N × H)
17. C3×#938C4semidirect
31. C22×ΓL(1,𝔽25)C2×C3semidirect
34. C2×C3×#102D3semidirect
35. C2×C3×#102C2×C3semidirect
37. C2×#832C2×C3semidirect
38. #4987C2×C3semidirect
41. #4551C2×C3semidirect
42. #4529C2×C3semidirect
67. C2×C32×C8D4semidirect
78. C2×C3×C3⋊C8D4semidirect
106. #938C3×C4semidirect
168. C2×#102C3×D3semidirect
236. C2×C3×C8#67semidirect
237. C2×C3×C8C3×D4semidirect
258. C2×C3⋊C8C3×D4semidirect
454. C2×C8C3×#67semidirect
540. C32#1895semidirect
641. C3#70203direct (N × H)
642. C3C3×#1895semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9382
C22×C3×ΓL(1,𝔽25)2
C2×C32×#1022
C2×C3×#8322
C3×#49872
C3×#45512
C3×#45292
C3×#18953
#702033