Finite Group Databasebeta

← C3×#10611351 #14471601

Subgroups — C3×#10611351 #14471601

Order 1920.

700 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65902C211yesmaximal, characteristic, complemented
2C3×#65873C211yesmaximal, characteristic, complemented
3C3×C4×C5×SD16C211yesmaximal, characteristic, complemented
4C3×#65454C211yesmaximal, characteristic
5C3×#65451C211yesmaximal, characteristic, complemented
6C3×#65311C211yesmaximal, characteristic, complemented
7C3×#65305C211yesmaximal, characteristic
8C3×#65159C211yesmaximal, characteristic, complemented
9C3×#65146C211yesmaximal, characteristic, complemented
10C3×#65089C211yesmaximal, characteristic, complemented
11C3×#65081C211yesmaximal, characteristic, complemented
12C3×#65047C211yesmaximal, characteristic, complemented
13C3×#65045C211yesmaximal, characteristic
14C3×#64986C211yesmaximal, characteristic, complemented
15C3×C8×Dic10C211yesmaximal, characteristic, complemented
16#10611351C311yesmaximal, characteristic, direct product factor, Hall
17C2×C3×C5×SD16C2211yescharacteristic
18C3×C4×C5×Q8C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20C3×#4093C2211yescharacteristic
21C3×#4090C2211yescharacteristic
22C3×D4×Dic5C2211yescharacteristic
23C3×D4×Dic5C2211yescharacteristic
24C2×C3×#687C2211yescharacteristic
25C2×C3×#686C2211yescharacteristic
26C3×#4070—21no—
27C2×C3×#683—21no—
28C3×#4044—21no—
29C3×#4042—21no—
30C3×#4039C2211yescharacteristic
31C3×#4036C2211yescharacteristic
32C3×#4034C2211yescharacteristic
33C3×#4033C2211yescharacteristic
34C3×#4024—21no—
35C3×#4024—21no—
36C3×#4022—21no—
37C3×#4021C2211yescharacteristic
38C3×#4018—21no—
39C3×#4016C2211yescharacteristic
40C3×C4×Dic10C2211yescharacteristic
41C3×C5×#106C2211yescharacteristic
42C3×C5×#103C2211yescharacteristic
43C3×C5×#102C2211yescharacteristic
44C3×C4×C5×C8C2211yescharacteristic
45C3×#3967C2211yescharacteristic
46C3×#3967C2211yescharacteristic
47C3×#3953C2211yescharacteristic
48C3×#3953C2211yescharacteristic
49C3×#3948C2211yescharacteristic
50C3×#3948C2211yescharacteristic
51C3×#3946C2211yescharacteristic
52C3×#3946C2211yescharacteristic
53C3×C8×Dic5C2211yescharacteristic
54C3×C8×Dic5C2211yescharacteristic
55C3×#3942C2211yescharacteristic
56C3×#3941C2211yescharacteristic
57C3×#3940C2211yescharacteristic
58C3×#3939C2211yescharacteristic
59C3×C4⋊#168C2211yescharacteristic
60C3×#3360—51nomaximal, Hall
61#65902C2×C311yescharacteristic, complemented
62#65873C2×C311yescharacteristic, complemented
63C4×C5×SD16C2×C311yescharacteristic, complemented
64#65454C2×C311yescharacteristic
65#65451C2×C311yescharacteristic, complemented
66#65311C2×C311yescharacteristic, complemented
67#65305C2×C311yescharacteristic
68#65159C2×C311yescharacteristic, complemented
69#65146C2×C311yescharacteristic, complemented
70#65089C2×C311yescharacteristic, complemented
71#65081C2×C311yescharacteristic, complemented
72#65047C2×C311yescharacteristic, complemented
73#65045C2×C311yescharacteristic
74#64986C2×C311yescharacteristic, complemented
75C8×Dic10C2×C311yescharacteristic, complemented
76C2×C3×C5×Q8C2311yescharacteristic
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C22×C3×Dic5—21no—
80C22×C3×Dic5—21no—
81C2×C3×D20C2311yescharacteristic
82C2×C3×C4×D5—21no—
83C2×C3×Dic10—21no—
84C2×C3×Dic10D411yescharacteristic
85C2×C3×Dic10C2311yescharacteristic
86C3×C5×SD16—22no—
87C2×C3×C5×C8C2311yescharacteristic
88C2×C3×C5×C8C2311yescharacteristic
89C3×C5×C4⋊C4—21no—
90C3×C5×C4⋊C4C2311yescharacteristic
91C3×C5×C4⋊C4C2311yescharacteristic
92C3×C5×C22⋊C4—21no—
93C3×C42×C5—21no—
94C3×C42×C5C2311yescharacteristic
95C3×C22⋊Dic5—21no—
96C3×C22⋊Dic5—21no—
97C3×#687—22no—
98C3×#686—22no—
99C3×#685—21no—
100C3×#685—21no—
101C3×#685—21no—
102C3×#685—21no—
103C3×#685—21no—
104C3×C4⋊Dic5—21no—
105C3×C4⋊Dic5D411yescharacteristic
106C3×C4⋊Dic5C2311yescharacteristic
107C3×C4⋊Dic5C2311yescharacteristic
108C3×#683—21no—
109C3×#683—21no—
110C3×#683—21no—
111C3×#683—21no—
112C3×#683—21no—
113C3×#683—21no—
114C3×#683—21no—
115C3×#683D411yescharacteristic
116C3×#683D411yescharacteristic
117C3×C4×Dic5—21no—
118C3×C4×Dic5C2311yescharacteristic
119C3×C4×Dic5C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121C2×C3×#168C2311yescharacteristic
122C3×#556—51no—
123C3×#554—51no—
124C3×#488—51no—
125C3×#488—51no—
126C3×#487—51no—
127C3×#479—51no—
128C3×#479—51no—
129C3×#476—51no—
130C3×#463—51no—
131C3×#463—51no—
132C3×#461—51no—
133C3×C8×Q8—51no—
134C3×C4×SD16—51no—
135C3×C4×SD16D511yescharacteristic, complemented
136C3×C4×D8—51no—
137C2×C5×SD16C22×C311yescharacteristic
138C4×C5×Q8C22×C311yescharacteristic
139C4×C5×D4C22×C311yescharacteristic
140#4093C22×C311yescharacteristic
141#4090C22×C311yescharacteristic
142D4×Dic5C22×C311yescharacteristic
143D4×Dic5C22×C311yescharacteristic
144C2×#687C22×C311yescharacteristic
145C2×#686C22×C311yescharacteristic
146#4070—21no—
147C2×#683—21no—
148#4044—21no—
149#4042—21no—
150#4039C22×C311yescharacteristic
151#4036C22×C311yescharacteristic
152#4034C22×C311yescharacteristic
153#4033C22×C311yescharacteristic
154#4024—21no—
155#4024—21no—
156#4022—21no—
157#4021C22×C311yescharacteristic
158#4018—21no—
159#4016C22×C311yescharacteristic
160C4×Dic10C22×C311yescharacteristic
161C5×#106C22×C311yescharacteristic
162C5×#103C22×C311yescharacteristic
163C5×#102C22×C311yescharacteristic
164C4×C5×C8C22×C311yescharacteristic
165#3967C22×C311yescharacteristic
166#3967C22×C311yescharacteristic
167#3953C22×C311yescharacteristic
168#3953C22×C311yescharacteristic
169#3948C22×C311yescharacteristic
170#3948C22×C311yescharacteristic
171#3946C22×C311yescharacteristic
172#3946C22×C311yescharacteristic
173C8×Dic5C22×C311yescharacteristic
174C8×Dic5C22×C311yescharacteristic
175#3942C22×C311yescharacteristic
176#3941C22×C311yescharacteristic
177#3940C22×C311yescharacteristic
178#3939C22×C311yescharacteristic
179C4⋊#168C22×C311yescharacteristic
180#3360—51noSylow
181C23×C3×C5—21no—
182C22×C3×D5—21no—
183C3×C5×Q8—21no—
184C3×C5×Q8—21no—
185C3×C5×D4—21no—
186C3×C5×D4#4112yes—
187C2×C3×C4×C5—21no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5—81no—
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2411yescharacteristic
194C2×C3×Dic5—21no—
195C2×C3×Dic5—21no—
196C2×C3×Dic5—21no—
197C2×C3×Dic5—42no—
198C2×C3×Dic5—81no—
199C2×C3×Dic5C2×D411yescharacteristic
200C2×C3×Dic5C2×D411yescharacteristic
201C2×C3×Dic5C2×D411yescharacteristic
202C2×C3×Dic5C2×D411yescharacteristic
203C3×D20—21no—
204C3×D20—21no—
205C3×C4×D5—42no—
206C3×Dic10—22no—
207C3×Dic10—21no—
208C3×Dic10—21no—
209C3×Dic10—81no—
210C3×C5×C8—21no—
211C3×C5×C8—21no—
212C3×#168—21no—
213C3×#168—21no—
214C2×C3×SD16—51no—
215C2×C3×SD16C2×D511yescharacteristic
216C2×C3×D8—51no—
217C3×C4⋊Q8—51no—
218C3×C4⋊Q8—51no—
219C3×#126—101no—
220C3×#126—101no—
221C3×#125—51no—
222C3×#125—51no—
223C3×#124—51no—
224C3×#124—51no—
225C3×C22⋊Q8—101no—
226C3×C22⋊Q8—101no—
227C3×C22⋊Q8—101no—
228C3×C22⋊Q8—101no—
229C3×C4×Q8—51no—
230C3×C4×Q8—51no—
231C3×C4×Q8C2×D511yescharacteristic
232C3×C4×D4—51no—
233C3×C4×D4—51no—
234C3×C4×D4—51no—
235C3×C4×D4C2×D511yescharacteristic
236C3×#117—101no—
237C2×C3×C4⋊C4—101no—
238C3×#107—51no—
239C3×#106—51no—
240C3×#106C2×D511yescharacteristic
241C3×C4⋊C8—51no—
242C3×C4⋊C8—51no—
243C3×C4⋊C8—51no—
244C3×#103—51no—
245C3×#103—51no—
246C3×#103—51no—
247C3×#103—51no—
248C3×#103—51no—
249C3×#103C2×D511yescharacteristic
250C3×#102—51no—
251C3×#102—51no—
252C3×#102—51no—
253C3×#102C2×D511yescharacteristic
254C3×C4×C8—51no—
255C3×C4×C8—51no—
256C3×C4×C8C2×D511yescharacteristic
257C2×C5×Q8C23×C311yescharacteristic
258C2×C5×D4C23×C311yescharacteristic
259C22×C4×C5—21no—
260C22×Dic5—21no—
261C22×Dic5—21no—
262C2×D20C23×C311yescharacteristic
263C2×C4×D5—21no—
264C2×Dic10—21no—
265C2×Dic10C3×D411yescharacteristic
266C2×Dic10C23×C311yescharacteristic
267C5×SD16—22no—
268C2×C5×C8C23×C311yescharacteristic
269C2×C5×C8C23×C311yescharacteristic
270C5×C4⋊C4—21no—
271C5×C4⋊C4C23×C311yescharacteristic
272C5×C4⋊C4C23×C311yescharacteristic
273C5×C22⋊C4—21no—
274C42×C5—21no—
275C42×C5C23×C311yescharacteristic
276C22⋊Dic5—21no—
277C22⋊Dic5—21no—
278#687—22no—
279#686—22no—
280#685—21no—
281#685—21no—
282#685—21no—
283#685—21no—
284#685—21no—
285C4⋊Dic5—21no—
286C4⋊Dic5C3×D411yescharacteristic
287C4⋊Dic5C23×C311yescharacteristic
288C4⋊Dic5C23×C311yescharacteristic
289#683—21no—
290#683—21no—
291#683—21no—
292#683—21no—
293#683—21no—
294#683—21no—
295#683—21no—
296#683C3×D411yescharacteristic
297#683C3×D411yescharacteristic
298C4×Dic5—21no—
299C4×Dic5C23×C311yescharacteristic
300C4×Dic5C23×C311yescharacteristic
301C2×#168C23×C311yescharacteristic
302C2×#168C23×C311yescharacteristic
303#556—51no—
304#554—51no—
305#488—51no—
306#488—51no—
307#487—51no—
308#479—51no—
309#479—51no—
310#476—51no—
311#463—51no—
312#463—51no—
313#461—51no—
314C8×Q8—51no—
315C4×SD16—51no—
316C4×SD16C3×D511yescharacteristic, complemented
317C4×D8—51no—
318C22×C3×C5—22no—
319C22×C3×C5—41no—
320C22×C3×C5—41no—
321C22×C3×C5C22×D411yescharacteristic
322C2×C3×D5—41no—
323C2×C3×D5—41no—
324C2×C3×D5—41no—
325C3×C4×C5—21no—
326C3×C4×C5—21no—
327C3×C4×C5—41no—
328C3×C4×C5—41no—
329C3×C4×C5—41no—
330C3×C4×C5C2×#4111yescharacteristic
331C3×C4×C52−1+411yescharacteristic
332C3×Dic5—21no—
333C3×Dic5—21no—
334C3×Dic5—21no—
335C3×Dic5—41no—
336C3×Dic5—41no—
337C3×Dic5—41no—
338C3×Dic5#13512yes—
339C2×C3×Q8—51no—
340C2×C3×Q8—51no—
341C2×C3×Q8—101no—
342C2×C3×Q8C22×D511yescharacteristic
343C2×C3×D4—51no—
344C2×C3×D4C22×D511yescharacteristic
345C22×C3×C4—21no—
346C22×C3×C4—101no—
347C22×C3×C4—101no—
348C22×C3×C4—101no—
349C3×SD16—22no—
350C3×SD16—102no—
351C3×D8—102no—
352C2×C3×C8—51no—
353C2×C3×C8—51no—
354C2×C3×C8C22×D511yescharacteristic
355C2×C3×C8C22×D511yescharacteristic
356C3×C4⋊C4—21no—
357C3×C4⋊C4—51no—
358C3×C4⋊C4—51no—
359C3×C4⋊C4—51no—
360C3×C4⋊C4—51no—
361C3×C4⋊C4—51no—
362C3×C4⋊C4—101no—
363C3×C4⋊C4—101no—
364C3×C4⋊C4—101no—
365C3×C4⋊C4—101no—
366C3×C4⋊C4—101no—
367C3×C4⋊C4—101no—
368C3×C4⋊C4—101no—
369C3×C4⋊C4—101no—
370C3×C4⋊C4C22×D511yescharacteristic
371C3×C4⋊C4C22×D511yescharacteristic
372C3×C22⋊C4—21no—
373C3×C22⋊C4—101no—
374C3×C22⋊C4—101no—
375C3×C22⋊C4—101no—
376C3×C22⋊C4—101no—
377C3×C22⋊C4—101no—
378C3×C22⋊C4—101no—
379C3×C22⋊C4—101no—
380C3×C42—21no—
381C3×C42—51no—
382C3×C42—51no—
383C3×C42—101no—
384C3×C42C22×D511yescharacteristic
385C23×C5—21no—
386C22×D5—21no—
387C5×Q8—21no—
388C5×Q8—21no—
389C5×D4—21no—
390C5×D4C3×#4112yes—
391C2×C4×C5—21no—
392C2×C4×C5—21no—
393C2×C4×C5—21no—
394C2×C4×C5—81no—
395C2×C4×C5C2×C3×D411yescharacteristic
396C2×C4×C5C2×C3×D411yescharacteristic
397C2×C4×C5C24×C311yescharacteristic
398C2×Dic5—21no—
399C2×Dic5—21no—
400C2×Dic5—21no—
401C2×Dic5—42no—
402C2×Dic5—81no—
403C2×Dic5C2×C3×D411yescharacteristic
404C2×Dic5C2×C3×D411yescharacteristic
405C2×Dic5C2×C3×D411yescharacteristic
406C2×Dic5C2×C3×D411yescharacteristic
407D20—21no—
408D20—21no—
409C4×D5—42no—
410Dic10—22no—
411Dic10—21no—
412Dic10—21no—
413Dic10—81no—
414C5×C8—21no—
415C5×C8—21no—
416#168—21no—
417#168—21no—
418C2×SD16—51no—
419C2×SD16C2×C3×D511yescharacteristic
420C2×D8—51no—
421C4⋊Q8—51no—
422C4⋊Q8—51no—
423#126—101no—
424#126—101no—
425#125—51no—
426#125—51no—
427#124—51no—
428#124—51no—
429C22⋊Q8—101no—
430C22⋊Q8—101no—
431C22⋊Q8—101no—
432C22⋊Q8—101no—
433C4×Q8—51no—
434C4×Q8—51no—
435C4×Q8C2×C3×D511yescharacteristic
436C4×D4—51no—
437C4×D4—51no—
438C4×D4—51no—
439C4×D4C2×C3×D511yescharacteristic
440#117—101no—
441C2×C4⋊C4—101no—
442#107—51no—
443#106—51no—
444#106C2×C3×D511yescharacteristic
445C4⋊C8—51no—
446C4⋊C8—51no—
447C4⋊C8—51no—
448#103—51no—
449#103—51no—
450#103—51no—
451#103—51no—
452#103—51no—
453#103C2×C3×D511yescharacteristic
454#102—51no—
455#102—51no—
456#102—51no—
457#102C2×C3×D511yescharacteristic
458C4×C8—51no—
459C4×C8—51no—
460C4×C8C2×C3×D511yescharacteristic
461C2×C3×C5—42no—
462C2×C3×C5#54811yescharacteristic
463C2×C3×C5C2×#13511yescharacteristic
464C2×C3×C5#57711yescharacteristic
465C3×D5—81no—
466C23×C3—21no—
467C23×C3—101no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—102no—
471C3×Q8—101no—
472C3×Q8—101no—
473C3×Q8—401no—
474C3×D4—21no—
475C3×D4—101no—
476C3×D4—101no—
477C3×D4#70912yes—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—51no—
482C2×C3×C4—51no—
483C2×C3×C4—51no—
484C2×C3×C4—51no—
485C2×C3×C4—81no—
486C2×C3×C4—101no—
487C2×C3×C4—101no—
488C2×C3×C4—101no—
489C2×C3×C4—202no—
490C2×C3×C4—202no—
491C2×C3×C4—401no—
492C2×C3×C4D4×D511yescharacteristic
493C2×C3×C4D4×D511yescharacteristic
494C2×C3×C4C23×D511yescharacteristic
495C3×C8—21no—
496C3×C8—21no—
497C3×C8—101no—
498C3×C8—101no—
499C22×C5—22no—
500C22×C5—41no—
501C22×C5—41no—
502C22×C5C22×C3×D411yescharacteristic
503C2×D5—41no—
504C2×D5—41no—
505C2×D5—41no—
506C4×C5—21no—
507C4×C5—21no—
508C4×C5—41no—
509C4×C5—41no—
510C4×C5—41no—
511C4×C5C2×C3×#4111yescharacteristic
512C4×C5C3×2−1+411yescharacteristic
513Dic5—21no—
514Dic5—21no—
515Dic5—21no—
516Dic5—41no—
517Dic5—41no—
518Dic5—41no—
519Dic5C3×#13512yes—
520C2×Q8—51no—
521C2×Q8—51no—
522C2×Q8—101no—
523C2×Q8C22×C3×D511yescharacteristic
524C2×D4—51no—
525C2×D4C22×C3×D511yescharacteristic
526C22×C4—21no—
527C22×C4—101no—
528C22×C4—101no—
529C22×C4—101no—
530SD16—22no—
531SD16—102no—
532D8—102no—
533C2×C8—51no—
534C2×C8—51no—
535C2×C8C22×C3×D511yescharacteristic
536C2×C8C22×C3×D511yescharacteristic
537C4⋊C4—21no—
538C4⋊C4—51no—
539C4⋊C4—51no—
540C4⋊C4—51no—
541C4⋊C4—51no—
542C4⋊C4—51no—
543C4⋊C4—101no—
544C4⋊C4—101no—
545C4⋊C4—101no—
546C4⋊C4—101no—
547C4⋊C4—101no—
548C4⋊C4—101no—
549C4⋊C4—101no—
550C4⋊C4—101no—
551C4⋊C4C22×C3×D511yescharacteristic
552C4⋊C4C22×C3×D511yescharacteristic
553C22⋊C4—21no—
554C22⋊C4—101no—
555C22⋊C4—101no—
556C22⋊C4—101no—
557C22⋊C4—101no—
558C22⋊C4—101no—
559C22⋊C4—101no—
560C22⋊C4—101no—
561C42—21no—
562C42—51no—
563C42—51no—
564C42—101no—
565C42C22×C3×D511yescharacteristic
566C3×C5#336011yescharacteristic, complemented, Hall
567C22×C3—22no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—201no—
571C22×C3—201no—
572C22×C3—201no—
573C22×C3C2×D4×D511yescharacteristic
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—41no—
577C3×C4—41no—
578C3×C4—41no—
579C3×C4—52no—
580C3×C4—101no—
581C3×C4—101no—
582C3×C4—101no—
583C3×C4—201no—
584C3×C4—201no—
585C3×C4—201no—
586C3×C4C2×#70911yescharacteristic
587C3×C4#415011yescharacteristic
588C2×C5—42no—
589C2×C5C3×#54811yescharacteristic
590C2×C5C2×C3×#13511yescharacteristic
591C2×C5C3×#57711yescharacteristic
592D5—81no—
593C23—21no—
594C23—101no—
595Q8—21no—
596Q8—21no—
597Q8—102no—
598Q8—101no—
599Q8—101no—
600Q8—401no—
601D4—21no—
602D4—101no—
603D4—101no—
604D4C3×#70912yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—51no—
609C2×C4—51no—
610C2×C4—51no—
611C2×C4—51no—
612C2×C4—81no—
613C2×C4—101no—
614C2×C4—101no—
615C2×C4—101no—
616C2×C4—202no—
617C2×C4—202no—
618C2×C4—401no—
619C2×C4C3×D4×D511yescharacteristic
620C2×C4C3×D4×D511yescharacteristic
621C2×C4C23×C3×D511yescharacteristic
622C8—21no—
623C8—21no—
624C8—101no—
625C8—101no—
626C2×C3—42no—
627C2×C3—401no—
628C2×C3#6588611yescharacteristic
629C2×C3#6609611yescharacteristic
630C2×C3D5×#13511yescharacteristic
631C5C3×#336011yescharacteristic, complemented, Sylow
632C22—22no—
633C22—41no—
634C22—41no—
635C22—201no—
636C22—201no—
637C22—201no—
638C22C2×C3×D4×D511yescharacteristic
639C4—21no—
640C4—21no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—52no—
645C4—101no—
646C4—101no—
647C4—101no—
648C4—201no—
649C4—201no—
650C4—201no—
651C4C2×C3×#70911yescharacteristic
652C4C3×#415011yescharacteristic
653C3#1061135111yescharacteristic, direct product factor, Sylow
654C2—42no—
655C2—401no—
656C2C3×#6588611yescharacteristic
657C2C3×#6609611yescharacteristic
658C2C3×D5×#13511yescharacteristic
subgroupG/H
centerC22×C3C2×D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC3×C4×C5×SD16C2
socleC22×C3×C5C22×D4
prime radicalC2×C3×#686C22
hypercenterC3×C4×SD16D5
hypocenterC5C3×#3360
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C3×#65902C2semidirect
2. C3×#65873C2semidirect
3. C3×C4×C5×SD16C2semidirect
5. C3×#65451C2semidirect
6. C3×#65311C2semidirect
8. C3×#65159C2semidirect
9. C3×#65146C2semidirect
10. C3×#65089C2semidirect
11. C3×#65081C2semidirect
12. C3×#65047C2semidirect
14. C3×#64986C2semidirect
15. C3×C8×Dic10C2semidirect
16. #10611351C3direct (N × H)
61. #65902C2×C3semidirect
62. #65873C2×C3semidirect
63. C4×C5×SD16C2×C3semidirect
65. #65451C2×C3semidirect
66. #65311C2×C3semidirect
68. #65159C2×C3semidirect
69. #65146C2×C3semidirect
70. #65089C2×C3semidirect
71. #65081C2×C3semidirect
72. #65047C2×C3semidirect
74. #64986C2×C3semidirect
75. C8×Dic10C2×C3semidirect
135. C3×C4×SD16D5semidirect
316. C4×SD16C3×D5semidirect
566. C3×C5#3360semidirect
631. C5C3×#3360semidirect
653. C3#10611351direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#659022
C3×#658732
C3×C4×C5×SD162
C3×#654542
C3×#654512
C3×#653112
C3×#653052
C3×#651592
C3×#651462
C3×#650892
C3×#650812
C3×#650472
C3×#650452
C3×#649862
C3×C8×Dic102
#106113513
C3×#33605