Finite Group Databasebeta

← C3×#10601177 #14297184

Subgroups — C3×#10601177 #14297184

Order 1920.

1240 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4149C211yesmaximal, characteristic
2C2×C3×C5×#104C211yesmaximal, characteristic, complemented
3C3×#65521C211yesmaximal, characteristic, complemented
4C3×#65422C211yesmaximal, characteristic, complemented
5C2×C3×#3955C211yesmaximal, characteristic, complemented
6C3×#65228C211yesmaximal, characteristic, complemented
7C2×C3×#3937C211yesmaximal, characteristic, complemented
8#10601177C311yesmaximal, characteristic, direct product factor, Hall
9C2×C3×C5×#41C2211yescharacteristic
10C3×#4149—22no—
11C3×#4149—22no—
12C3×#4149—22no—
13C3×#4149C414yescomplemented
14C2×C3×#713—21no—
15C2×C3×D4×D5—22no—
16C2×C3×D4×D5—21no—
17C2×C3×#709—21no—
18C2×C3×#709C2211yescharacteristic
19C22×C3×D20—21no—
20C22×C3×D20C2211yescharacteristic
21C2×C3×C5×M16C2211yescharacteristic, complemented
22C2×C3×C42×C5C2211yescharacteristic, complemented
23C2×C3×#685—22no—
24C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
25C2×C3×#681C2211yescharacteristic, complemented
26C3×C5×#104—22no—
27C3×#3967—21no—
28C3×#3964—21no—
29C3×#3955—22no—
30C3×#3953—21no—
31C3×#3948—21no—
32C3×#3937—22no—
33C3×#1792—51nomaximal, Hall
34C2×#4149C2×C311yescharacteristic
35C2×C5×#104C2×C311yescharacteristic, complemented
36#65521C2×C311yescharacteristic, complemented
37#65422C2×C311yescharacteristic, complemented
38C2×#3955C2×C311yescharacteristic, complemented
39#65228C2×C311yescharacteristic, complemented
40C2×#3937C2×C311yescharacteristic, complemented
41C23×C3×D5—22no—
42C23×C3×D5D412yes—
43C3×C5×#41—21no—
44C3×C5×#41—21no—
45C3×C5×#41C2×C412yes—
46C3×C5×#41D412yes—
47C2×C3×C5×Q8D411yescharacteristic
48C2×C3×C5×D4—21no—
49C2×C3×C5×D4D411yescharacteristic
50C22×C3×C4×C5—21no—
51C22×C3×C4×C5—21no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×C3×C22⋊D5—22no—
54C2×C3×C22⋊D5—21no—
55C22×C3×Dic5—21no—
56C3×#713—24no—
57C3×#713—24no—
58C3×D4×D5—28no—
59C3×D4×D5—24no—
60C3×D4×D5—28no—
61C3×D4×D5—24no—
62C3×#709—24no—
63C3×#709—21no—
64C3×#709—21no—
65C3×#709—24no—
66C3×#709C2×C412yes—
67C3×#709D412yes—
68C2×C3×D20—22no—
69C2×C3×D20—24no—
70C2×C3×D20—21no—
71C2×C3×D20—21no—
72C2×C3×D20—21no—
73C2×C3×D20—21no—
74C2×C3×D20—24no—
75C2×C3×D20C2×C412yes—
76C2×C3×D20D412yes—
77C2×C3×D20D411yescharacteristic
78C2×C3×C4×D5—22no—
79C2×C3×C4×D5—21no—
80C2×C3×Dic10D411yescharacteristic
81C3×C5×M16—21no—
82C3×C5×M16—21no—
83C2×C3×C5×C8—21no—
84C3×C42×C5—21no—
85C3×C42×C5—21no—
86C3×#685—44no—
87C3×C4⋊Dic5—21no—
88C3×C4⋊Dic5—21no—
89C3×#681—21no—
90C3×#681—21no—
91C2×C3×#168—21no—
92C2×C3×H(5,𝔽2)—51no—
93C2×C3×#104—51no—
94C2×C3×#104D511yescharacteristic, complemented
95C3×#417—51no—
96C3×#417—51no—
97C2×C3×#100—51no—
98C3×#390—51no—
99C2×C5×#41C22×C311yescharacteristic
100#4149—22no—
101#4149—22no—
102#4149—22no—
103#4149C3×C414yescomplemented
104C2×#713—21no—
105C2×D4×D5—22no—
106C2×D4×D5—21no—
107C2×#709—21no—
108C2×#709C22×C311yescharacteristic
109C22×D20—21no—
110C22×D20C22×C311yescharacteristic
111C2×C5×M16C22×C311yescharacteristic, complemented
112C2×C42×C5C22×C311yescharacteristic, complemented
113C2×#685—22no—
114C2×C4⋊Dic5C22×C311yescharacteristic, complemented
115C2×#681C22×C311yescharacteristic, complemented
116C5×#104—22no—
117#3967—21no—
118#3964—21no—
119#3955—22no—
120#3953—21no—
121#3948—21no—
122#3937—22no—
123#1792—51noSylow
124C23×C3×C5—21no—
125C23×C3×C5C2×D411yescharacteristic
126C22×C3×D5—22no—
127C22×C3×D5—21no—
128C22×C3×D5—28no—
129C22×C3×D5—22no—
130C22×C3×D5—42no—
131C22×C3×D5—42no—
132C22×C3×D5—82no—
133C22×C3×D5—82no—
134C22×C3×D5C22⋊C414yes—
135C3×C5×Q8—21no—
136C3×C5×Q8C22⋊C412yescomplemented
137C3×C5×D4—22no—
138C3×C5×D4—22no—
139C3×C5×D4—21no—
140C3×C5×D4C22⋊C412yescomplemented
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—41no—
146C2×C3×C4×C5—41no—
147C2×C3×C4×C5C22×C411yescharacteristic
148C2×C3×C4×C5C2×D411yescharacteristic
149C2×C3×C4×C5C2×D411yescharacteristic
150C2×C3×C4×C5C2×D411yescharacteristic
151C2×C3×C4×C5C2×D411yescharacteristic
152C2×C3×C4×C5C2×D411yescharacteristic
153C3×C22⋊D5—28no—
154C3×C22⋊D5—22no—
155C3×C22⋊D5—22no—
156C2×C3×Dic5—21no—
157C2×C3×Dic5—42no—
158C2×C3×Dic5—41no—
159C3×D20—28no—
160C3×D20—22no—
161C3×D20—22no—
162C3×D20—22no—
163C3×D20—21no—
164C3×D20—22no—
165C3×D20C22⋊C412yescomplemented
166C3×C4×D5—28no—
167C3×C4×D5—22no—
168C3×C4×D5—22no—
169C3×Dic10—21no—
170C3×Dic10C22⋊C412yescomplemented
171C3×C5×C8—41no—
172C3×#168—41no—
173C3×H(5,𝔽2)—54no—
174C3×H(5,𝔽2)—102no—
175C3×H(5,𝔽2)—102no—
176C3×H(5,𝔽2)—102no—
177C2×C3×#41—51no—
178C2×C3×#41—101no—
179C2×C3×#41—101no—
180C2×C3×#41C2×D511yescharacteristic
181C22×C3×D4—51no—
182C22×C3×D4—101no—
183C22×C3×D4—102no—
184C22×C3×D4—101no—
185C2×C3×M16—51no—
186C2×C3×M16C2×D511yescharacteristic, complemented
187C2×C3×C4⋊C4—51no—
188C2×C3×C22⋊C4—102no—
189C2×C3×C42C2×D511yescharacteristic, complemented
190C3×#104—22no—
191C3×#104—102no—
192C3×#103—101no—
193C3×#103—101no—
194C3×#102—101no—
195C3×#102—101no—
196C3×#100—102no—
197C23×D5—22no—
198C23×D5C3×D412yes—
199C5×#41—21no—
200C5×#41—21no—
201C5×#41C2×C3×C412yes—
202C5×#41C3×D412yes—
203C2×C5×Q8C3×D411yescharacteristic
204C2×C5×D4—21no—
205C2×C5×D4C3×D411yescharacteristic
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5C23×C311yescharacteristic
209C2×C22⋊D5—22no—
210C2×C22⋊D5—21no—
211C22×Dic5—21no—
212#713—24no—
213#713—24no—
214D4×D5—28no—
215D4×D5—24no—
216D4×D5—28no—
217D4×D5—24no—
218#709—24no—
219#709—21no—
220#709—21no—
221#709—24no—
222#709C2×C3×C412yes—
223#709C3×D412yes—
224C2×D20—22no—
225C2×D20—24no—
226C2×D20—21no—
227C2×D20—21no—
228C2×D20—21no—
229C2×D20—21no—
230C2×D20—24no—
231C2×D20C2×C3×C412yes—
232C2×D20C3×D412yes—
233C2×D20C3×D411yescharacteristic
234C2×C4×D5—22no—
235C2×C4×D5—21no—
236C2×Dic10C3×D411yescharacteristic
237C5×M16—21no—
238C5×M16—21no—
239C2×C5×C8—21no—
240C42×C5—21no—
241C42×C5—21no—
242#685—44no—
243C4⋊Dic5—21no—
244C4⋊Dic5—21no—
245#681—21no—
246#681—21no—
247C2×#168—21no—
248C2×H(5,𝔽2)—51no—
249C2×#104—51no—
250C2×#104C3×D511yescharacteristic, complemented
251#417—51no—
252#417—51no—
253C2×#100—51no—
254#390—51no—
255C22×C3×C5—21no—
256C22×C3×C5—21no—
257C22×C3×C5—22no—
258C22×C3×C5—41no—
259C22×C3×C5—41no—
260C22×C3×C5C2×C22⋊C411yescharacteristic
261C22×C3×C5#12011yescharacteristic
262C22×C3×C5#12011yescharacteristic
263C2×C3×D5—24no—
264C2×C3×D5—22no—
265C2×C3×D5—42no—
266C2×C3×D5—41no—
267C2×C3×D5—42no—
268C2×C3×D5—41no—
269C2×C3×D5—44no—
270C2×C3×D5—82no—
271C2×C3×D5—88no—
272C3×C4×C5—22no—
273C3×C4×C5—42no—
274C3×C4×C5C2×C22⋊C411yescharacteristic
275C3×C4×C5C2×C22⋊C411yescharacteristic
276C3×C4×C5#12011yescharacteristic
277C3×C4×C5#12011yescharacteristic
278C3×Dic5—22no—
279C3×Dic5—81no—
280C24×C3—52no—
281C24×C3—102no—
282C3×#41—21no—
283C3×#41—21no—
284C3×#41—52no—
285C3×#41—52no—
286C3×#41—104no—
287C3×#41—104no—
288C3×#41—104no—
289C3×#41—104no—
290C3×#41—101no—
291C3×#41—101no—
292C3×#41C4×D512yes—
293C3×#41C22⋊D512yes—
294C2×C3×Q8—51no—
295C2×C3×Q8D2011yescharacteristic
296C2×C3×D4—21no—
297C2×C3×D4—52no—
298C2×C3×D4—51no—
299C2×C3×D4—52no—
300C2×C3×D4—104no—
301C2×C3×D4—102no—
302C2×C3×D4—104no—
303C2×C3×D4—108no—
304C2×C3×D4—108no—
305C2×C3×D4—104no—
306C2×C3×D4—102no—
307C2×C3×D4—101no—
308C2×C3×D4—104no—
309C2×C3×D4—101no—
310C2×C3×D4—101no—
311C2×C3×D4—101no—
312C2×C3×D4—101no—
313C2×C3×D4D2011yescharacteristic
314C22×C3×C4—21no—
315C22×C3×C4—21no—
316C22×C3×C4—102no—
317C22×C3×C4—101no—
318C22×C3×C4—101no—
319C22×C3×C4C22×D511yescharacteristic
320C3×M16—21no—
321C3×M16—21no—
322C3×M16—101no—
323C3×M16—101no—
324C2×C3×C8—21no—
325C2×C3×C8—101no—
326C3×C4⋊C4—101no—
327C3×C4⋊C4—101no—
328C3×C22⋊C4—204no—
329C3×C42—21no—
330C3×C42—21no—
331C23×C5—21no—
332C23×C5C2×C3×D411yescharacteristic
333C22×D5—22no—
334C22×D5—21no—
335C22×D5—28no—
336C22×D5—22no—
337C22×D5—42no—
338C22×D5—42no—
339C22×D5—82no—
340C22×D5—82no—
341C22×D5C3×C22⋊C414yes—
342C5×Q8—21no—
343C5×Q8C3×C22⋊C412yescomplemented
344C5×D4—22no—
345C5×D4—22no—
346C5×D4—21no—
347C5×D4C3×C22⋊C412yescomplemented
348C2×C4×C5—21no—
349C2×C4×C5—22no—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—41no—
353C2×C4×C5—41no—
354C2×C4×C5C22×C3×C411yescharacteristic
355C2×C4×C5C2×C3×D411yescharacteristic
356C2×C4×C5C2×C3×D411yescharacteristic
357C2×C4×C5C2×C3×D411yescharacteristic
358C2×C4×C5C2×C3×D411yescharacteristic
359C2×C4×C5C2×C3×D411yescharacteristic
360C22⋊D5—28no—
361C22⋊D5—22no—
362C22⋊D5—22no—
363C2×Dic5—21no—
364C2×Dic5—42no—
365C2×Dic5—41no—
366D20—28no—
367D20—22no—
368D20—22no—
369D20—22no—
370D20—21no—
371D20—22no—
372D20C3×C22⋊C412yescomplemented
373C4×D5—28no—
374C4×D5—22no—
375C4×D5—22no—
376Dic10—21no—
377Dic10C3×C22⋊C412yescomplemented
378C5×C8—41no—
379#168—41no—
380H(5,𝔽2)—54no—
381H(5,𝔽2)—102no—
382H(5,𝔽2)—102no—
383H(5,𝔽2)—102no—
384C2×#41—51no—
385C2×#41—101no—
386C2×#41—101no—
387C2×#41C2×C3×D511yescharacteristic
388C22×D4—51no—
389C22×D4—101no—
390C22×D4—102no—
391C22×D4—101no—
392C2×M16—51no—
393C2×M16C2×C3×D511yescharacteristic, complemented
394C2×C4⋊C4—51no—
395C2×C22⋊C4—102no—
396C2×C42C2×C3×D511yescharacteristic, complemented
397#104—22no—
398#104—102no—
399#103—101no—
400#103—101no—
401#102—101no—
402#102—101no—
403#100—102no—
404C2×C3×C5—21no—
405C2×C3×C5—21no—
406C2×C3×C5—42no—
407C2×C3×C5#37911yescharacteristic
408C2×C3×C5#45311yescharacteristic
409C2×C3×C5#45511yescharacteristic
410C3×D5—44no—
411C3×D5—42no—
412C23×C3—21no—
413C23×C3—54no—
414C23×C3—108no—
415C23×C3—101no—
416C23×C3—102no—
417C23×C3—102no—
418C23×C3—202no—
419C23×C3—202no—
420C23×C3—402no—
421C23×C3—402no—
422C23×C3D4×D511yescharacteristic
423C3×Q8—21no—
424C3×Q8—52no—
425C3×Q8—101no—
426C3×Q8#68512yescomplemented
427C3×D4—22no—
428C3×D4—22no—
429C3×D4—21no—
430C3×D4—52no—
431C3×D4—108no—
432C3×D4—108no—
433C3×D4—102no—
434C3×D4—102no—
435C3×D4—102no—
436C3×D4—102no—
437C3×D4—102no—
438C3×D4—101no—
439C3×D4—102no—
440C3×D4#68512yescomplemented
441C2×C3×C4—21no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—41no—
446C2×C3×C4—41no—
447C2×C3×C4—108no—
448C2×C3×C4—101no—
449C2×C3×C4—102no—
450C2×C3×C4—102no—
451C2×C3×C4—202no—
452C2×C3×C4—201no—
453C2×C3×C4C2×C4×D511yescharacteristic
454C2×C3×C4C2×D2011yescharacteristic
455C2×C3×C4D4×D511yescharacteristic
456C2×C3×C4D4×D511yescharacteristic
457C2×C3×C4D4×D511yescharacteristic
458C2×C3×C4C2×C22⋊D511yescharacteristic
459C3×C8—41no—
460C3×C8—201no—
461C22×C5—21no—
462C22×C5—21no—
463C22×C5—22no—
464C22×C5—41no—
465C22×C5—41no—
466C22×C5C2×C3×C22⋊C411yescharacteristic
467C22×C5C3×#12011yescharacteristic
468C22×C5C3×#12011yescharacteristic
469C2×D5—24no—
470C2×D5—22no—
471C2×D5—42no—
472C2×D5—41no—
473C2×D5—42no—
474C2×D5—41no—
475C2×D5—44no—
476C2×D5—82no—
477C2×D5—88no—
478C4×C5—22no—
479C4×C5—42no—
480C4×C5C2×C3×C22⋊C411yescharacteristic
481C4×C5C2×C3×C22⋊C411yescharacteristic
482C4×C5C3×#12011yescharacteristic
483C4×C5C3×#12011yescharacteristic
484Dic5—22no—
485Dic5—81no—
486C24—52no—
487C24—102no—
488#41—21no—
489#41—21no—
490#41—52no—
491#41—52no—
492#41—104no—
493#41—104no—
494#41—104no—
495#41—104no—
496#41—101no—
497#41—101no—
498#41C3×C4×D512yes—
499#41C3×C22⋊D512yes—
500C2×Q8—51no—
501C2×Q8C3×D2011yescharacteristic
502C2×D4—21no—
503C2×D4—52no—
504C2×D4—51no—
505C2×D4—52no—
506C2×D4—104no—
507C2×D4—102no—
508C2×D4—104no—
509C2×D4—108no—
510C2×D4—108no—
511C2×D4—104no—
512C2×D4—102no—
513C2×D4—101no—
514C2×D4—104no—
515C2×D4—101no—
516C2×D4—101no—
517C2×D4—101no—
518C2×D4—101no—
519C2×D4C3×D2011yescharacteristic
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—102no—
523C22×C4—101no—
524C22×C4—101no—
525C22×C4C22×C3×D511yescharacteristic
526M16—21no—
527M16—21no—
528M16—101no—
529M16—101no—
530C2×C8—21no—
531C2×C8—101no—
532C4⋊C4—101no—
533C4⋊C4—101no—
534C22⋊C4—204no—
535C42—21no—
536C42—21no—
537C3×C5#179211yescharacteristic, complemented, Hall
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—22no—
541C22×C3—41no—
542C22×C3—41no—
543C22×C3—102no—
544C22×C3—104no—
545C22×C3—204no—
546C22×C3—202no—
547C22×C3—201no—
548C22×C3—202no—
549C22×C3—201no—
550C22×C3—402no—
551C22×C3—408no—
552C22×C3D5×C22⋊C411yescharacteristic
553C22×C3#402811yescharacteristic
554C22×C3#408311yescharacteristic
555C3×C4—22no—
556C3×C4—42no—
557C3×C4—102no—
558C3×C4—401no—
559C3×C4D5×C22⋊C411yescharacteristic
560C3×C4#402811yescharacteristic
561C3×C4C2×#68511yescharacteristic
562C3×C4#408311yescharacteristic
563C2×C5—21no—
564C2×C5—21no—
565C2×C5—42no—
566C2×C5C3×#37911yescharacteristic
567C2×C5C3×#45311yescharacteristic
568C2×C5C3×#45511yescharacteristic
569D5—44no—
570D5—42no—
571C23—21no—
572C23—54no—
573C23—108no—
574C23—101no—
575C23—102no—
576C23—102no—
577C23—202no—
578C23—202no—
579C23—402no—
580C23—402no—
581C23C3×D4×D511yescharacteristic
582Q8—21no—
583Q8—52no—
584Q8—101no—
585Q8C3×#68512yescomplemented
586D4—22no—
587D4—22no—
588D4—21no—
589D4—52no—
590D4—108no—
591D4—108no—
592D4—102no—
593D4—102no—
594D4—101no—
595D4—102no—
596D4—102no—
597D4—102no—
598D4—102no—
599D4C3×#68512yescomplemented
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—108no—
607C2×C4—101no—
608C2×C4—102no—
609C2×C4—102no—
610C2×C4—202no—
611C2×C4—201no—
612C2×C4C2×C3×C4×D511yescharacteristic
613C2×C4C2×C3×D2011yescharacteristic
614C2×C4C3×D4×D511yescharacteristic
615C2×C4C3×D4×D511yescharacteristic
616C2×C4C3×D4×D511yescharacteristic
617C2×C4C2×C3×C22⋊D511yescharacteristic
618C8—41no—
619C8—201no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—42no—
623C2×C3—204no—
624C2×C3—202no—
625C2×C3#6511111yescharacteristic
626C2×C3#6511411yescharacteristic
627C2×C3#6524411yescharacteristic
628C5C3×#179211yescharacteristic, complemented, Sylow
629C22—21no—
630C22—21no—
631C22—22no—
632C22—41no—
633C22—41no—
634C22—102no—
635C22—104no—
636C22—204no—
637C22—202no—
638C22—201no—
639C22—202no—
640C22—201no—
641C22—402no—
642C22—408no—
643C22C3×D5×C22⋊C411yescharacteristic
644C22C3×#402811yescharacteristic
645C22C3×#408311yescharacteristic
646C4—22no—
647C4—42no—
648C4—102no—
649C4—401no—
650C4C3×D5×C22⋊C411yescharacteristic
651C4C3×#402811yescharacteristic
652C4C2×C3×#68511yescharacteristic
653C4C3×#408311yescharacteristic
654C3#1060117711yescharacteristic, direct product factor, Sylow
655C2—21no—
656C2—21no—
657C2—42no—
658C2—204no—
659C2—202no—
660C2C3×#6511111yescharacteristic
661C2C3×#6511411yescharacteristic
662C2C3×#6524411yescharacteristic
subgroupG/H
centerC22×C3#4028
commutatorC2×C4×C5C22×C3×C4
FrattiniC22×C4C22×C3×D5
FittingC2×C3×C5×#104C2
socleC22×C3×C5#120
prime radicalC2×C3×#4149C2
cosocleC22×C4×C5C23×C3
hypercenterC2×C3×#104D5
hypocenterC5C3×#1792
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C2×C3×#104

Complements

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

NH ≅ G/Ntype
2. C2×C3×C5×#104C2semidirect
3. C3×#65521C2semidirect
4. C3×#65422C2semidirect
5. C2×C3×#3955C2semidirect
6. C3×#65228C2semidirect
7. C2×C3×#3937C2semidirect
8. #10601177C3direct (N × H)
13. C3×#4149C4semidirect
21. C2×C3×C5×M16C22semidirect
22. C2×C3×C42×C5C22semidirect
24. C2×C3×C4⋊Dic5C22semidirect
25. C2×C3×#681C22semidirect
35. C2×C5×#104C2×C3semidirect
36. #65521C2×C3semidirect
37. #65422C2×C3semidirect
38. C2×#3955C2×C3semidirect
39. #65228C2×C3semidirect
40. C2×#3937C2×C3semidirect
94. C2×C3×#104D5semidirect
103. #4149C3×C4semidirect
111. C2×C5×M16C22×C3semidirect
112. C2×C42×C5C22×C3semidirect
114. C2×C4⋊Dic5C22×C3semidirect
115. C2×#681C22×C3semidirect
136. C3×C5×Q8C22⋊C4semidirect
140. C3×C5×D4C22⋊C4semidirect
165. C3×D20C22⋊C4semidirect
170. C3×Dic10C22⋊C4semidirect
186. C2×C3×M16C2×D5semidirect
189. C2×C3×C42C2×D5semidirect
250. C2×#104C3×D5semidirect
343. C5×Q8C3×C22⋊C4semidirect
347. C5×D4C3×C22⋊C4semidirect
372. D20C3×C22⋊C4semidirect
377. Dic10C3×C22⋊C4semidirect
393. C2×M16C2×C3×D5semidirect
396. C2×C42C2×C3×D5semidirect
426. C3×Q8#685semidirect
440. C3×D4#685semidirect
537. C3×C5#1792semidirect
585. Q8C3×#685semidirect
599. D4C3×#685semidirect
628. C5C3×#1792semidirect
654. C3#10601177direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41492
C2×C3×C5×#1042
C3×#655212
C3×#654222
C2×C3×#39552
C3×#652282
C2×C3×#39372
#106011773
C3×#17925