Finite Group Databasebeta

← C3×#10608345 #14326115

Subgroups — C3×#10608345 #14326115

Order 1920.

1640 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×Q8×D5C211yesmaximal, characteristic
2C2×C3×#4033C211yesmaximal, characteristic, complemented
3C2×C3×C4×Dic10C211yesmaximal, characteristic, complemented
4C3×C5×#391C211yesmaximal, characteristic, complemented
5C3×#65519C211yesmaximal, characteristic, complemented
6C3×#65276C211yesmaximal, characteristic
7C3×C4×#685C211yesmaximal, characteristic
8C3×#64956C212yesmaximal
9C3×#64955C212yesmaximal
10C3×#64935C212yesmaximal, complemented
11C3×#64935C212yesmaximal, complemented
12#10608345C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C2×C3×Q8×D5—24no—
15C2×C3×Q8×D5—24no—
16C2×C3×Q8×D5C418yescomplemented
17C22×C3×C4×D5C2212yes—
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×Dic10C2212yes—
20C22×C3×Dic10C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C42×C5C2211yescharacteristic
23C2×C3×#685C2212yes—
24C2×C3×#685C2211yescharacteristic
25C2×C3×#685C2211yescharacteristic
26C2×C3×C4⋊Dic5C2211yescharacteristic
27C2×C3×#683C2212yes—
28C2×C3×#683C2212yes—
29C2×C3×C4×Dic5C2212yes—
30C2×C3×C4×Dic5C2212yes—
31C2×C3×C4×Dic5C2211yescharacteristic
32C3×#4033—24no—
33C3×C4×Dic10—24no—
34C3×C5×#95C2212yes—
35C3×C5×#95C2212yes—
36C3×#3963C2211yescharacteristic
37C3×#3963C2211yescharacteristic
38C3×#3963C2212yes—
39C3×#3963C2212yes—
40C3×#3963C2212yes—
41C3×Q8×C22⋊C4—51nomaximal, Hall
42C22×Q8×D5C2×C311yescharacteristic
43C2×#4033C2×C311yescharacteristic, complemented
44C2×C4×Dic10C2×C311yescharacteristic, complemented
45C5×#391C2×C311yescharacteristic, complemented
46#65519C2×C311yescharacteristic, complemented
47#65276C2×C311yescharacteristic
48C4×#685C2×C311yescharacteristic
49#64956C2×C312yes—
50#64955C2×C312yes—
51#64935C2×C312yescomplemented
52#64935C2×C312yescomplemented
53C23×C3×D5C2311yescharacteristic
54C2×C3×C5×Q8—22no—
55C2×C3×C5×Q8—22no—
56C2×C3×C5×Q8C2×C414yes—
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×Dic5C2311yescharacteristic
63C22×C3×Dic5C2312yes—
64C22×C3×Dic5C2311yescharacteristic
65C22×C3×Dic5C2311yescharacteristic
66C22×C3×Dic5C2312yes—
67C3×Q8×D5—232no—
68C2×C3×C4×D5—22no—
69C2×C3×C4×D5—22no—
70C2×C3×C4×D5—24no—
71C2×C3×C4×D5—24no—
72C2×C3×C4×D5C2×C414yes—
73C2×C3×C4×D5C2×C418yes—
74C2×C3×Dic10—24no—
75C2×C3×Dic10—24no—
76C2×C3×Dic10C2×C418yes—
77C2×C3×Dic10C2×C414yes—
78C2×C3×Dic10D414yes—
79C2×C3×Dic10D414yes—
80C3×C5×C4⋊C4—22no—
81C3×C42×C5—22no—
82C3×#685—24no—
83C3×#685—22no—
84C3×#685Q814yescomplemented
85C3×C4⋊Dic5—22no—
86C3×#683—24no—
87C3×#683—24no—
88C3×C4×Dic5—22no—
89C3×C4×Dic5—24no—
90C3×C4×Dic5—24no—
91C23×C3×Q8—51no—
92C2×C3×C4×Q8—51no—
93C2×C3×C4×Q8—51no—
94C3×#391—51no—
95C3×#391—52no—
96C3×#391—52no—
97C3×#391D511yescharacteristic, complemented
98C3×#380—51no—
99C3×#380—52no—
100C3×C4×C22⋊C4—51no—
101C3×C4×C22⋊C4—52no—
102C22×C5×Q8C22×C311yescharacteristic
103C2×Q8×D5—24no—
104C2×Q8×D5—24no—
105C2×Q8×D5C3×C418yescomplemented
106C22×C4×D5C22×C312yes—
107C22×C4×D5C22×C311yescharacteristic
108C22×Dic10C22×C312yes—
109C22×Dic10C22×C311yescharacteristic
110C2×C5×C4⋊C4C22×C311yescharacteristic
111C2×C42×C5C22×C311yescharacteristic
112C2×#685C22×C312yes—
113C2×#685C22×C311yescharacteristic
114C2×#685C22×C311yescharacteristic
115C2×C4⋊Dic5C22×C311yescharacteristic
116C2×#683C22×C312yes—
117C2×#683C22×C312yes—
118C2×C4×Dic5C22×C312yes—
119C2×C4×Dic5C22×C312yes—
120C2×C4×Dic5C22×C311yescharacteristic
121#4033—24no—
122C4×Dic10—24no—
123C5×#95C22×C312yes—
124C5×#95C22×C312yes—
125#3963C22×C311yescharacteristic
126#3963C22×C311yescharacteristic
127#3963C22×C312yes—
128#3963C22×C312yes—
129#3963C22×C312yes—
130Q8×C22⋊C4—51noSylow
131C23×C3×C5C2411yescharacteristic
132C22×C3×D5—21no—
133C22×C3×D5—21no—
134C22×C3×D5—21no—
135C22×C3×D5—21no—
136C22×C3×D5C22×C412yes—
137C22×C3×D5C2×Q812yes—
138C22×C3×D5#4112yes—
139C3×C5×Q8—28no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—21no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5C22×C414yes—
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5C2×Q812yescomplemented
155C2×C3×Dic5—21no—
156C2×C3×Dic5—21no—
157C2×C3×Dic5—21no—
158C2×C3×Dic5—21no—
159C2×C3×Dic5—21no—
160C2×C3×Dic5—22no—
161C2×C3×Dic5—21no—
162C2×C3×Dic5—22no—
163C2×C3×Dic5—22no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5C22×C412yes—
166C2×C3×Dic5C22×C414yes—
167C2×C3×Dic5C2×D414yes—
168C2×C3×Dic5C2×D414yes—
169C2×C3×Dic5C2×Q812yescomplemented
170C3×C4×D5—28no—
171C3×C4×D5—216no—
172C3×Dic10—216no—
173C3×Dic10C22⋊C4116yescomplemented
174C22×C3×Q8—58no—
175C22×C3×Q8—51no—
176C22×C3×Q8—52no—
177C22×C3×Q8—104no—
178C22×C3×Q8—104no—
179C22×C3×Q8C2×D511yescharacteristic
180C23×C3×C4—52no—
181C23×C3×C4—51no—
182C3×C4×Q8—104no—
183C3×C4×Q8—104no—
184C2×C3×C4⋊C4—52no—
185C2×C3×C4⋊C4—52no—
186C2×C3×C4⋊C4—51no—
187C2×C3×C4⋊C4C2×D511yescharacteristic
188C2×C3×C22⋊C4—51no—
189C2×C3×C22⋊C4—52no—
190C2×C3×C22⋊C4—51no—
191C2×C3×C42—52no—
192C2×C3×C42—52no—
193C2×C3×C42—51no—
194C2×C3×C42C2×D511yescharacteristic
195C3×#95—51no—
196C3×#95—51no—
197C3×#95—52no—
198C3×#95—52no—
199C3×#95—52no—
200C3×#95C2×D512yes—
201C3×#95C2×D512yes—
202C23×D5C23×C311yescharacteristic
203C2×C5×Q8—22no—
204C2×C5×Q8—22no—
205C2×C5×Q8C2×C3×C414yes—
206C22×C4×C5C23×C311yescharacteristic
207C22×C4×C5C23×C312yes—
208C22×C4×C5C23×C312yes—
209C22×C4×C5C23×C311yescharacteristic
210C22×C4×C5C23×C311yescharacteristic
211C22×Dic5C23×C311yescharacteristic
212C22×Dic5C23×C312yes—
213C22×Dic5C23×C311yescharacteristic
214C22×Dic5C23×C311yescharacteristic
215C22×Dic5C23×C312yes—
216Q8×D5—232no—
217C2×C4×D5—22no—
218C2×C4×D5—22no—
219C2×C4×D5—24no—
220C2×C4×D5—24no—
221C2×C4×D5C2×C3×C414yes—
222C2×C4×D5C2×C3×C418yes—
223C2×Dic10—24no—
224C2×Dic10—24no—
225C2×Dic10C2×C3×C418yes—
226C2×Dic10C2×C3×C414yes—
227C2×Dic10C3×D414yes—
228C2×Dic10C3×D414yes—
229C5×C4⋊C4—22no—
230C42×C5—22no—
231#685—24no—
232#685—22no—
233#685C3×Q814yescomplemented
234C4⋊Dic5—22no—
235#683—24no—
236#683—24no—
237C4×Dic5—22no—
238C4×Dic5—24no—
239C4×Dic5—24no—
240C23×Q8—51no—
241C2×C4×Q8—51no—
242C2×C4×Q8—51no—
243#391—51no—
244#391—52no—
245#391—52no—
246#391C3×D511yescharacteristic, complemented
247#380—51no—
248#380—52no—
249C4×C22⋊C4—51no—
250C4×C22⋊C4—52no—
251C22×C3×C5C23×C411yescharacteristic
252C22×C3×C5C22×D411yescharacteristic
253C22×C3×C5C22×D411yescharacteristic
254C22×C3×C5C22×Q811yescharacteristic
255C22×C3×C5C2×#4111yescharacteristic
256C22×C3×C52−1+411yescharacteristic
257C22×C3×C52−1+411yescharacteristic
258C2×C3×D5—22no—
259C2×C3×D5—22no—
260C2×C3×D5—22no—
261C2×C3×D5—22no—
262C2×C3×D5—22no—
263C2×C3×D5—22no—
264C2×C3×D5C4×Q814yescomplemented
265C3×C4×C5—24no—
266C3×C4×C5—22no—
267C3×C4×C5—41no—
268C3×C4×C5—42no—
269C3×C4×C5C2×C22⋊C414yes—
270C3×Dic5—22no—
271C3×Dic5—22no—
272C3×Dic5—42no—
273C3×Dic5—41no—
274C3×Dic5C2×C22⋊C418yes—
275C24×C3—51no—
276C2×C3×Q8—22no—
277C2×C3×Q8—22no—
278C2×C3×Q8—54no—
279C2×C3×Q8—58no—
280C2×C3×Q8—54no—
281C2×C3×Q8—54no—
282C2×C3×Q8—104no—
283C2×C3×Q8—104no—
284C2×C3×Q8—1032no—
285C2×C3×Q8C4×D514yes—
286C22×C3×C4—52no—
287C22×C3×C4—51no—
288C22×C3×C4—51no—
289C22×C3×C4—58no—
290C22×C3×C4—54no—
291C22×C3×C4—52no—
292C22×C3×C4—51no—
293C22×C3×C4—104no—
294C22×C3×C4—104no—
295C22×C3×C4—102no—
296C22×C3×C4—102no—
297C22×C3×C4C22×D512yes—
298C22×C3×C4C22×D511yescharacteristic
299C22×C3×C4C22×D512yes—
300C22×C3×C4C22×D511yescharacteristic
301C22×C3×C4C22×D511yescharacteristic
302C3×C4⋊C4—22no—
303C3×C4⋊C4—104no—
304C3×C4⋊C4—104no—
305C3×C4⋊C4—102no—
306C3×C22⋊C4—54no—
307C3×C22⋊C4—102no—
308C3×C22⋊C4—104no—
309C3×C42—22no—
310C3×C42—104no—
311C3×C42—104no—
312C3×C42—102no—
313C23×C5C24×C311yescharacteristic
314C22×D5—21no—
315C22×D5—21no—
316C22×D5—21no—
317C22×D5—21no—
318C22×D5C22×C3×C412yes—
319C22×D5C2×C3×Q812yes—
320C22×D5C3×#4112yes—
321C5×Q8—28no—
322C2×C4×C5—21no—
323C2×C4×C5—22no—
324C2×C4×C5—22no—
325C2×C4×C5—21no—
326C2×C4×C5—22no—
327C2×C4×C5—21no—
328C2×C4×C5—21no—
329C2×C4×C5—22no—
330C2×C4×C5—21no—
331C2×C4×C5—22no—
332C2×C4×C5C22×C3×C414yes—
333C2×C4×C5C22×C3×C412yes—
334C2×C4×C5C2×C3×D412yes—
335C2×C4×C5C2×C3×D412yes—
336C2×C4×C5C2×C3×Q812yescomplemented
337C2×Dic5—21no—
338C2×Dic5—21no—
339C2×Dic5—21no—
340C2×Dic5—21no—
341C2×Dic5—21no—
342C2×Dic5—22no—
343C2×Dic5—21no—
344C2×Dic5—22no—
345C2×Dic5—22no—
346C2×Dic5—21no—
347C2×Dic5C22×C3×C412yes—
348C2×Dic5C22×C3×C414yes—
349C2×Dic5C2×C3×D414yes—
350C2×Dic5C2×C3×D414yes—
351C2×Dic5C2×C3×Q812yescomplemented
352C4×D5—28no—
353C4×D5—216no—
354Dic10—216no—
355Dic10C3×C22⋊C4116yescomplemented
356C22×Q8—58no—
357C22×Q8—51no—
358C22×Q8—52no—
359C22×Q8—104no—
360C22×Q8—104no—
361C22×Q8C2×C3×D511yescharacteristic
362C23×C4—52no—
363C23×C4—51no—
364C4×Q8—104no—
365C4×Q8—104no—
366C2×C4⋊C4—52no—
367C2×C4⋊C4—52no—
368C2×C4⋊C4—51no—
369C2×C4⋊C4C2×C3×D511yescharacteristic
370C2×C22⋊C4—51no—
371C2×C22⋊C4—52no—
372C2×C22⋊C4—51no—
373C2×C42—52no—
374C2×C42—52no—
375C2×C42—51no—
376C2×C42C2×C3×D511yescharacteristic
377#95—51no—
378#95—51no—
379#95—52no—
380#95—52no—
381#95—52no—
382#95C2×C3×D512yes—
383#95C2×C3×D512yes—
384C2×C3×C5C22×C22⋊C411yescharacteristic
385C2×C3×C5C2×C4×Q811yescharacteristic
386C2×C3×C5#51911yescharacteristic
387C2×C3×C5#54811yescharacteristic
388C2×C3×C5#54811yescharacteristic
389C2×C3×C5D4×Q811yescharacteristic
390C2×C3×C5D4×Q811yescharacteristic
391C3×D5—24no—
392C23×C3—52no—
393C23×C3—52no—
394C23×C3—52no—
395C23×C3—101no—
396C23×C3—101no—
397C23×C3—101no—
398C23×C3—101no—
399C23×C3C23×D511yescharacteristic
400C3×Q8—28no—
401C3×Q8—516no—
402C3×Q8—1016no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—54no—
414C2×C3×C4—54no—
415C2×C3×C4—54no—
416C2×C3×C4—52no—
417C2×C3×C4—52no—
418C2×C3×C4—1016no—
419C2×C3×C4—101no—
420C2×C3×C4—101no—
421C2×C3×C4—101no—
422C2×C3×C4—101no—
423C2×C3×C4—108no—
424C2×C3×C4—102no—
425C2×C3×C4—101no—
426C2×C3×C4—102no—
427C2×C3×C4—102no—
428C2×C3×C4—101no—
429C2×C3×C4—101no—
430C2×C3×C4C2×C4×D514yes—
431C2×C3×C4C2×C4×D512yes—
432C2×C3×C4D4×D512yes—
433C2×C3×C4D4×D512yes—
434C2×C3×C4Q8×D512yescomplemented
435C22×C5C23×C3×C411yescharacteristic
436C22×C5C22×C3×D411yescharacteristic
437C22×C5C22×C3×D411yescharacteristic
438C22×C5C22×C3×Q811yescharacteristic
439C22×C5C2×C3×#4111yescharacteristic
440C22×C5C3×2−1+411yescharacteristic
441C22×C5C3×2−1+411yescharacteristic
442C2×D5—22no—
443C2×D5—22no—
444C2×D5—22no—
445C2×D5—22no—
446C2×D5—22no—
447C2×D5—22no—
448C2×D5C3×C4×Q814yescomplemented
449C4×C5—24no—
450C4×C5—22no—
451C4×C5—41no—
452C4×C5—42no—
453C4×C5C2×C3×C22⋊C414yes—
454Dic5—22no—
455Dic5—22no—
456Dic5—42no—
457Dic5—41no—
458Dic5C2×C3×C22⋊C418yes—
459C24—51no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8—54no—
463C2×Q8—58no—
464C2×Q8—54no—
465C2×Q8—54no—
466C2×Q8—104no—
467C2×Q8—104no—
468C2×Q8—1032no—
469C2×Q8C3×C4×D514yes—
470C22×C4—52no—
471C22×C4—51no—
472C22×C4—51no—
473C22×C4—58no—
474C22×C4—54no—
475C22×C4—52no—
476C22×C4—51no—
477C22×C4—104no—
478C22×C4—104no—
479C22×C4—102no—
480C22×C4—102no—
481C22×C4C22×C3×D512yes—
482C22×C4C22×C3×D511yescharacteristic
483C22×C4C22×C3×D512yes—
484C22×C4C22×C3×D511yescharacteristic
485C22×C4C22×C3×D511yescharacteristic
486C4⋊C4—22no—
487C4⋊C4—104no—
488C4⋊C4—104no—
489C4⋊C4—102no—
490C22⋊C4—54no—
491C22⋊C4—102no—
492C22⋊C4—104no—
493C42—22no—
494C42—104no—
495C42—104no—
496C42—102no—
497C3×C5Q8×C22⋊C411yescharacteristic, complemented, Hall
498C22×C3—54no—
499C22×C3—102no—
500C22×C3—102no—
501C22×C3—102no—
502C22×C3—102no—
503C22×C3—102no—
504C22×C3—102no—
505C22×C3C22×C4×D511yescharacteristic
506C22×C3C2×D4×D511yescharacteristic
507C22×C3C2×D4×D511yescharacteristic
508C22×C3C2×Q8×D511yescharacteristic
509C22×C3#414711yescharacteristic
510C22×C3D5×#4111yescharacteristic
511C22×C3#415011yescharacteristic
512C3×C4—24no—
513C3×C4—22no—
514C3×C4—41no—
515C3×C4—42no—
516C3×C4—58no—
517C3×C4—102no—
518C3×C4—102no—
519C3×C4—202no—
520C3×C4—201no—
521C3×C4D5×C22⋊C414yes—
522C2×C5C22×C3×C22⋊C411yescharacteristic
523C2×C5C2×C3×C4×Q811yescharacteristic
524C2×C5C3×#51911yescharacteristic
525C2×C5C3×#54811yescharacteristic
526C2×C5C3×#54811yescharacteristic
527C2×C5C3×D4×Q811yescharacteristic
528C2×C5C3×D4×Q811yescharacteristic
529D5—24no—
530C23—52no—
531C23—52no—
532C23—52no—
533C23—101no—
534C23—101no—
535C23—101no—
536C23—101no—
537C23C23×C3×D511yescharacteristic
538Q8—28no—
539Q8—516no—
540Q8—1016no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—22no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—54no—
552C2×C4—54no—
553C2×C4—54no—
554C2×C4—52no—
555C2×C4—52no—
556C2×C4—1016no—
557C2×C4—101no—
558C2×C4—101no—
559C2×C4—101no—
560C2×C4—101no—
561C2×C4—108no—
562C2×C4—102no—
563C2×C4—101no—
564C2×C4—102no—
565C2×C4—102no—
566C2×C4—101no—
567C2×C4—101no—
568C2×C4C2×C3×C4×D514yes—
569C2×C4C2×C3×C4×D512yes—
570C2×C4C3×D4×D512yes—
571C2×C4C3×D4×D512yes—
572C2×C4C3×Q8×D512yescomplemented
573C2×C3—104no—
574C2×C3C2×D5×C22⋊C411yescharacteristic
575C2×C3C4×Q8×D511yescharacteristic
576C2×C3#6590611yescharacteristic
577C2×C3#6596611yescharacteristic
578C2×C3#6596711yescharacteristic
579C2×C3#6601111yescharacteristic
580C2×C3#6606111yescharacteristic
581C5C3×Q8×C22⋊C411yescharacteristic, complemented, Sylow
582C22—54no—
583C22—102no—
584C22—102no—
585C22—102no—
586C22—102no—
587C22—102no—
588C22—102no—
589C22C22×C3×C4×D511yescharacteristic
590C22C2×C3×D4×D511yescharacteristic
591C22C2×C3×D4×D511yescharacteristic
592C22C2×C3×Q8×D511yescharacteristic
593C22C3×#414711yescharacteristic
594C22C3×D5×#4111yescharacteristic
595C22C3×#415011yescharacteristic
596C4—22no—
597C4—24no—
598C4—41no—
599C4—42no—
600C4—58no—
601C4—102no—
602C4—102no—
603C4—202no—
604C4—201no—
605C4C3×D5×C22⋊C414yes—
606C3#1060834511yescharacteristic, direct product factor, Sylow
607C2—104no—
608C2C2×C3×D5×C22⋊C411yescharacteristic
609C2C3×C4×Q8×D511yescharacteristic
610C2C3×#6590611yescharacteristic
611C2C3×#6596611yescharacteristic
612C2C3×#6596711yescharacteristic
613C2C3×#6601111yescharacteristic
614C2C3×#6606111yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#391C2
socleC23×C3×C5C24
prime radicalC23×C3×D5C23
cosocleC23×C5C24×C3
hypercenterC3×#391D5
hypocenterC5C3×Q8×C22⋊C4
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#391

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4033C2semidirect
3. C2×C3×C4×Dic10C2semidirect
4. C3×C5×#391C2semidirect
5. C3×#65519C2semidirect
10. C3×#64935C2semidirect
11. C3×#64935C2semidirect
12. #10608345C3direct (N × H)
16. C2×C3×Q8×D5C4semidirect
43. C2×#4033C2×C3semidirect
44. C2×C4×Dic10C2×C3semidirect
45. C5×#391C2×C3semidirect
46. #65519C2×C3semidirect
51. #64935C2×C3semidirect
52. #64935C2×C3semidirect
84. C3×#685Q8semidirect
97. C3×#391D5semidirect
105. C2×Q8×D5C3×C4semidirect
154. C2×C3×C4×C5C2×Q8semidirect
169. C2×C3×Dic5C2×Q8semidirect
173. C3×Dic10C22⋊C4semidirect
233. #685C3×Q8semidirect
246. #391C3×D5semidirect
264. C2×C3×D5C4×Q8semidirect
336. C2×C4×C5C2×C3×Q8semidirect
351. C2×Dic5C2×C3×Q8semidirect
355. Dic10C3×C22⋊C4semidirect
434. C2×C3×C4Q8×D5semidirect
448. C2×D5C3×C4×Q8semidirect
497. C3×C5Q8×C22⋊C4semidirect
572. C2×C4C3×Q8×D5semidirect
581. C5C3×Q8×C22⋊C4semidirect
606. C3#10608345direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×Q8×D52
C2×C3×#40332
C2×C3×C4×Dic102
C3×C5×#3912
C3×#655192
C3×#652762
C3×C4×#6852
C3×#649562
C3×#649552
C3×#649352
#106083453
C3×Q8×C22⋊C45