Finite Group Databasebeta

← C3×#10610417 #14425711

Subgroups — C3×#10610417 #14425711

Order 1920.

1600 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
1C2×C3×#4144C211yesmaximal, characteristic, complemented
2C3×#66138C211yesmaximal, characteristic, complemented
3C3×#65827C212yesmaximal, complemented
4C2×C3×C5×#99C211yesmaximal, characteristic, complemented
5C2×C3×#3938C212yesmaximal, complemented
6C3×#65031C214yesmaximal, complemented
7C3×#65030C214yesmaximal, complemented
8#10610417C311yesmaximal, characteristic, direct product factor, Hall
9C22×C3×C5×D4C2211yescharacteristic
10C22×C3×C22⋊D5—21no—
11C22×C3×C22⋊D5C2212yes—
12C22×C3×C22⋊D5C2211yescharacteristic, complemented
13C3×#4144—22no—
14C3×#4144—24no—
15C3×#4144C2214yes—
16C2×C3×#711—22no—
17C2×C3×D4×D5—22no—
18C2×C3×#709—21no—
19C2×C3×C5×C22⋊C4C2212yescomplemented
20C3×#4099—21no—
21C2×C3×C22⋊Dic5C2211yescharacteristic, complemented
22C3×#4085—22no—
23C3×#4083C2212yescomplemented
24C3×#4081C2212yescomplemented
25C3×#4076—24no—
26C3×#4075—21no—
27C3×#4032—22no—
28C3×#4032C2214yescomplemented
29C3×#4028—22no—
30C3×#4028C2214yescomplemented
31C3×C5×#99C2214yescomplemented
32C3×#3938C2218yescomplemented
33C3×#3026—51nomaximal, Hall
34C2×#4144C2×C311yescharacteristic, complemented
35#66138C2×C311yescharacteristic, complemented
36#65827C2×C312yescomplemented
37C2×C5×#99C2×C311yescharacteristic, complemented
38C2×#3938C2×C312yescomplemented
39#65031C2×C314yescomplemented
40#65030C2×C314yescomplemented
41C24×C3×C5D411yescharacteristic, complemented
42C24×C3×C5C2311yescharacteristic
43C23×C3×D5—21no—
44C23×C3×D5D412yescomplemented
45C23×C3×D5C2311yescharacteristic, complemented
46C2×C3×C5×D4—22no—
47C2×C3×C5×D4—22no—
48C2×C3×C5×D4D412yescomplemented
49C2×C3×C5×D4C2312yes—
50C22×C3×C4×C5—22no—
51C22×C3×C4×C5D411yescharacteristic, complemented
52C2×C3×C22⋊D5—22no—
53C2×C3×C22⋊D5—24no—
54C2×C3×C22⋊D5—22no—
55C2×C3×C22⋊D5—22no—
56C2×C3×C22⋊D5—22no—
57C2×C3×C22⋊D5—22no—
58C2×C3×C22⋊D5—24no—
59C2×C3×C22⋊D5—21no—
60C2×C3×C22⋊D5—21no—
61C2×C3×C22⋊D5—22no—
62C2×C3×C22⋊D5—22no—
63C2×C3×C22⋊D5—22no—
64C2×C3×C22⋊D5D414yescomplemented
65C2×C3×C22⋊D5C2314yes—
66C22×C3×Dic5—21no—
67C22×C3×Dic5—21no—
68C22×C3×Dic5D412yescomplemented
69C22×C3×Dic5C2311yescharacteristic, complemented
70C3×#711—28no—
71C3×#711—28no—
72C3×D4×D5—28no—
73C3×D4×D5—28no—
74C3×#709—24no—
75C3×#709—24no—
76C2×C3×D20—21no—
77C2×C3×D20—24no—
78C2×C3×C4×D5—22no—
79C2×C3×Dic10—21no—
80C3×C5×C22⋊C4—22no—
81C3×C5×C22⋊C4C2314yescomplemented
82C3×C22⋊Dic5—22no—
83C3×C22⋊Dic5—21no—
84C3×C22⋊Dic5C2312yescomplemented
85C3×#685—24no—
86C3×#685—22no—
87C3×#685—24no—
88C3×C4⋊Dic5—24no—
89C3×#683—22no—
90C2×C3×H(5,𝔽2)—51no—
91C3×#534—51no—
92C3×#534—52no—
93C3×#458—54no—
94C3×B(4,𝔽2)—54no—
95C2×C3×#99—52no—
96C2×C3×#99D511yescharacteristic, complemented
97C22×C5×D4C22×C311yescharacteristic
98C22×C22⋊D5—21no—
99C22×C22⋊D5C22×C312yes—
100C22×C22⋊D5C22×C311yescharacteristic, complemented
101#4144—22no—
102#4144—24no—
103#4144C22×C314yes—
104C2×#711—22no—
105C2×D4×D5—22no—
106C2×#709—21no—
107C2×C5×C22⋊C4C22×C312yescomplemented
108#4099—21no—
109C2×C22⋊Dic5C22×C311yescharacteristic, complemented
110#4085—22no—
111#4083C22×C312yescomplemented
112#4081C22×C312yescomplemented
113#4076—24no—
114#4075—21no—
115#4032—22no—
116#4032C22×C314yescomplemented
117#4028—22no—
118#4028C22×C314yescomplemented
119C5×#99C22×C314yescomplemented
120#3938C22×C318yescomplemented
121#3026—51noSylow
122C23×C3×C5—21no—
123C23×C3×C5—21no—
124C23×C3×C5—81no—
125C23×C3×C5—81no—
126C23×C3×C5C2×D412yes—
127C23×C3×C5C2×D411yescharacteristic
128C23×C3×C5C2×D411yescharacteristic
129C23×C3×C5C2×D412yes—
130C23×C3×C5C2×D412yes—
131C23×C3×C5C2411yescharacteristic
132C22×C3×D5—22no—
133C22×C3×D5—24no—
134C22×C3×D5—22no—
135C22×C3×D5—22no—
136C22×C3×D5—21no—
137C22×C3×D5—81no—
138C22×C3×D5—82no—
139C22×C3×D5—82no—
140C22×C3×D5C2×D414yes—
141C3×C5×D4—24no—
142C3×C5×D4—24no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—24no—
146C2×C3×C4×C5—82no—
147C2×C3×C4×C5C2×D412yes—
148C3×C22⋊D5—28no—
149C3×C22⋊D5—24no—
150C3×C22⋊D5—24no—
151C3×C22⋊D5—24no—
152C3×C22⋊D5—24no—
153C3×C22⋊D5—41no—
154C3×C22⋊D5—42no—
155C3×C22⋊D5—41no—
156C3×C22⋊D5—82no—
157C2×C3×Dic5—24no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—22no—
160C2×C3×Dic5—21no—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—22no—
163C2×C3×Dic5—81no—
164C2×C3×Dic5C2×D414yes—
165C3×D20—24no—
166C3×D20—84no—
167C3×C4×D5—28no—
168C3×Dic10—24no—
169C3×H(5,𝔽2)—54no—
170C3×H(5,𝔽2)—104no—
171C3×H(5,𝔽2)—102no—
172C2×C3×#41—102no—
173C2×C3×#41—101no—
174C22×C3×D4—52no—
175C22×C3×D4—51no—
176C22×C3×D4—102no—
177C22×C3×D4—101no—
178C22×C3×D4C2×D511yescharacteristic
179C3×#123—52no—
180C3×#123—54no—
181C3×#123—102no—
182C3×#123—101no—
183C3×#121—104no—
184C3×#121—102no—
185C3×#120—52no—
186C3×#120—54no—
187C3×#120—102no—
188C3×#120—101no—
189C2×C3×C22⋊C4—51no—
190C2×C3×C22⋊C4C2×D512yescomplemented
191C3×#99—58no—
192C3×#99C2×D514yescomplemented
193C24×C5C3×D411yescharacteristic, complemented
194C24×C5C23×C311yescharacteristic
195C23×D5—21no—
196C23×D5C3×D412yescomplemented
197C23×D5C23×C311yescharacteristic, complemented
198C2×C5×D4—22no—
199C2×C5×D4—22no—
200C2×C5×D4C3×D412yescomplemented
201C2×C5×D4C23×C312yes—
202C22×C4×C5—22no—
203C22×C4×C5C3×D411yescharacteristic, complemented
204C2×C22⋊D5—22no—
205C2×C22⋊D5—24no—
206C2×C22⋊D5—22no—
207C2×C22⋊D5—22no—
208C2×C22⋊D5—22no—
209C2×C22⋊D5—22no—
210C2×C22⋊D5—24no—
211C2×C22⋊D5—21no—
212C2×C22⋊D5—22no—
213C2×C22⋊D5—22no—
214C2×C22⋊D5—21no—
215C2×C22⋊D5—22no—
216C2×C22⋊D5C3×D414yescomplemented
217C2×C22⋊D5C23×C314yes—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5C3×D412yescomplemented
221C22×Dic5C23×C311yescharacteristic, complemented
222#711—28no—
223#711—28no—
224D4×D5—28no—
225D4×D5—28no—
226#709—24no—
227#709—24no—
228C2×D20—21no—
229C2×D20—24no—
230C2×C4×D5—22no—
231C2×Dic10—21no—
232C5×C22⋊C4—22no—
233C5×C22⋊C4C23×C314yescomplemented
234C22⋊Dic5—21no—
235C22⋊Dic5—22no—
236C22⋊Dic5C23×C312yescomplemented
237#685—24no—
238#685—22no—
239#685—24no—
240C4⋊Dic5—24no—
241#683—22no—
242C2×H(5,𝔽2)—51no—
243#534—51no—
244#534—52no—
245#458—54no—
246B(4,𝔽2)—54no—
247C2×#99—52no—
248C2×#99C3×D511yescharacteristic, complemented
249C22×C3×C5—22no—
250C22×C3×C5—41no—
251C22×C3×C5—42no—
252C22×C3×C5—42no—
253C22×C3×C5—41no—
254C22×C3×C5—41no—
255C22×C3×C5—42no—
256C22×C3×C5—42no—
257C22×C3×C5—81no—
258C22×C3×C5#12011yescharacteristic
259C22×C3×C5#12012yes—
260C22×C3×C5#12011yescharacteristic
261C22×C3×C5C22×D411yescharacteristic
262C22×C3×C5C22×D412yes—
263C2×C3×D5—24no—
264C2×C3×D5—44no—
265C2×C3×D5—44no—
266C2×C3×D5—44no—
267C2×C3×D5—42no—
268C2×C3×D5—41no—
269C2×C3×D5—82no—
270C2×C3×D5—84no—
271C3×C4×C5—22no—
272C3×C4×C5—44no—
273C3×Dic5—24no—
274C3×Dic5—42no—
275C3×Dic5—41no—
276C24×C3—52no—
277C24×C3—51no—
278C24×C3—101no—
279C24×C3D2011yescharacteristic, complemented
280C24×C3C22×D511yescharacteristic
281C3×#41—104no—
282C3×#41—108no—
283C3×#41—108no—
284C3×#41—104no—
285C2×C3×Q8—101no—
286C2×C3×D4—22no—
287C2×C3×D4—22no—
288C2×C3×D4—54no—
289C2×C3×D4—54no—
290C2×C3×D4—101no—
291C2×C3×D4—104no—
292C2×C3×D4—108no—
293C2×C3×D4—108no—
294C2×C3×D4—102no—
295C2×C3×D4—104no—
296C2×C3×D4—102no—
297C2×C3×D4—102no—
298C2×C3×D4—104no—
299C2×C3×D4—102no—
300C2×C3×D4—102no—
301C2×C3×D4—101no—
302C2×C3×D4—101no—
303C2×C3×D4—102no—
304C2×C3×D4—102no—
305C2×C3×D4—102no—
306C2×C3×D4D2012yescomplemented
307C2×C3×D4C22×D512yes—
308C22×C3×C4—22no—
309C22×C3×C4—52no—
310C22×C3×C4—51no—
311C22×C3×C4—102no—
312C22×C3×C4—101no—
313C22×C3×C4—101no—
314C22×C3×C4D2011yescharacteristic, complemented
315C3×C4⋊C4—104no—
316C3×C4⋊C4—102no—
317C3×C22⋊C4—22no—
318C3×C22⋊C4—52no—
319C3×C22⋊C4—104no—
320C3×C22⋊C4—104no—
321C3×C22⋊C4—101no—
322C3×C22⋊C4—102no—
323C3×C22⋊C4—102no—
324C3×C22⋊C4C22×D514yescomplemented
325C23×C5—21no—
326C23×C5—21no—
327C23×C5—81no—
328C23×C5—81no—
329C23×C5C2×C3×D412yes—
330C23×C5C2×C3×D411yescharacteristic
331C23×C5C2×C3×D411yescharacteristic
332C23×C5C2×C3×D412yes—
333C23×C5C2×C3×D412yes—
334C23×C5C24×C311yescharacteristic
335C22×D5—22no—
336C22×D5—24no—
337C22×D5—22no—
338C22×D5—22no—
339C22×D5—21no—
340C22×D5—81no—
341C22×D5—82no—
342C22×D5—82no—
343C22×D5C2×C3×D414yes—
344C5×D4—24no—
345C5×D4—24no—
346C2×C4×C5—21no—
347C2×C4×C5—21no—
348C2×C4×C5—24no—
349C2×C4×C5—82no—
350C2×C4×C5C2×C3×D412yes—
351C22⋊D5—28no—
352C22⋊D5—24no—
353C22⋊D5—24no—
354C22⋊D5—24no—
355C22⋊D5—24no—
356C22⋊D5—41no—
357C22⋊D5—42no—
358C22⋊D5—41no—
359C22⋊D5—82no—
360C2×Dic5—24no—
361C2×Dic5—22no—
362C2×Dic5—22no—
363C2×Dic5—21no—
364C2×Dic5—22no—
365C2×Dic5—22no—
366C2×Dic5—81no—
367C2×Dic5C2×C3×D414yes—
368D20—24no—
369D20—84no—
370C4×D5—28no—
371Dic10—24no—
372H(5,𝔽2)—54no—
373H(5,𝔽2)—104no—
374H(5,𝔽2)—102no—
375C2×#41—102no—
376C2×#41—101no—
377C22×D4—52no—
378C22×D4—51no—
379C22×D4—102no—
380C22×D4—101no—
381C22×D4C2×C3×D511yescharacteristic
382#123—52no—
383#123—54no—
384#123—102no—
385#123—101no—
386#121—104no—
387#121—102no—
388#120—52no—
389#120—54no—
390#120—102no—
391#120—101no—
392C2×C22⋊C4—51no—
393C2×C22⋊C4C2×C3×D512yescomplemented
394#99—58no—
395#99C2×C3×D514yescomplemented
396C2×C3×C5—21no—
397C2×C3×C5—22no—
398C2×C3×C5—21no—
399C2×C3×C5—22no—
400C2×C3×C5—21no—
401C2×C3×C5—42no—
402C2×C3×C5C2×#12011yescharacteristic
403C3×D5—44no—
404C3×D5—81no—
405C23×C3—21no—
406C23×C3—21no—
407C23×C3—54no—
408C23×C3—81no—
409C23×C3—81no—
410C23×C3—104no—
411C23×C3—102no—
412C23×C3—102no—
413C23×C3—101no—
414C23×C3—102no—
415C23×C3—401no—
416C23×C3—402no—
417C23×C3—402no—
418C23×C3C2×D2012yes—
419C23×C3C2×D2011yescharacteristic
420C23×C3C2×D2011yescharacteristic
421C23×C3D4×D512yes—
422C23×C3D4×D512yes—
423C23×C3C23×D511yescharacteristic
424C3×Q8—104no—
425C3×D4—24no—
426C3×D4—24no—
427C3×D4—104no—
428C3×D4—108no—
429C3×D4—104no—
430C3×D4—104no—
431C3×D4—104no—
432C3×D4—104no—
433C3×D4—201no—
434C3×D4—201no—
435C3×D4—202no—
436C3×D4—404no—
437C3×D4—402no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—24no—
441C2×C3×C4—54no—
442C2×C3×C4—82no—
443C2×C3×C4—108no—
444C2×C3×C4—104no—
445C2×C3×C4—102no—
446C2×C3×C4—102no—
447C2×C3×C4—102no—
448C2×C3×C4—101no—
449C2×C3×C4—102no—
450C2×C3×C4—401no—
451C2×C3×C4C2×D2012yes—
452C22×C5—22no—
453C22×C5—41no—
454C22×C5—42no—
455C22×C5—42no—
456C22×C5—41no—
457C22×C5—41no—
458C22×C5—42no—
459C22×C5—42no—
460C22×C5—81no—
461C22×C5C3×#12011yescharacteristic
462C22×C5C3×#12012yes—
463C22×C5C3×#12011yescharacteristic
464C22×C5C22×C3×D411yescharacteristic
465C22×C5C22×C3×D412yes—
466C2×D5—24no—
467C2×D5—44no—
468C2×D5—44no—
469C2×D5—44no—
470C2×D5—42no—
471C2×D5—41no—
472C2×D5—82no—
473C2×D5—84no—
474C4×C5—22no—
475C4×C5—44no—
476Dic5—24no—
477Dic5—42no—
478Dic5—41no—
479C24—52no—
480C24—51no—
481C24—101no—
482C24C3×D2011yescharacteristic, complemented
483C24C22×C3×D511yescharacteristic
484#41—104no—
485#41—108no—
486#41—108no—
487#41—104no—
488C2×Q8—101no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—54no—
492C2×D4—54no—
493C2×D4—101no—
494C2×D4—104no—
495C2×D4—108no—
496C2×D4—108no—
497C2×D4—102no—
498C2×D4—104no—
499C2×D4—102no—
500C2×D4—102no—
501C2×D4—104no—
502C2×D4—102no—
503C2×D4—102no—
504C2×D4—101no—
505C2×D4—101no—
506C2×D4—102no—
507C2×D4—102no—
508C2×D4—102no—
509C2×D4C3×D2012yescomplemented
510C2×D4C22×C3×D512yes—
511C22×C4—22no—
512C22×C4—52no—
513C22×C4—51no—
514C22×C4—102no—
515C22×C4—101no—
516C22×C4—101no—
517C22×C4C3×D2011yescharacteristic, complemented
518C4⋊C4—104no—
519C4⋊C4—102no—
520C22⋊C4—22no—
521C22⋊C4—52no—
522C22⋊C4—104no—
523C22⋊C4—104no—
524C22⋊C4—101no—
525C22⋊C4—102no—
526C22⋊C4—102no—
527C22⋊C4C22×C3×D514yescomplemented
528C3×C5#302611yescharacteristic, complemented, Hall
529C22×C3—22no—
530C22×C3—42no—
531C22×C3—41no—
532C22×C3—41no—
533C22×C3—42no—
534C22×C3—41no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3—81no—
538C22×C3—104no—
539C22×C3—204no—
540C22×C3—204no—
541C22×C3—204no—
542C22×C3—202no—
543C22×C3—201no—
544C22×C3—402no—
545C22×C3—404no—
546C22×C3#402811yescharacteristic
547C22×C3#402811yescharacteristic
548C22×C3#402812yes—
549C22×C3C22×D2011yescharacteristic
550C22×C3C2×D4×D512yes—
551C3×C4—22no—
552C3×C4—44no—
553C3×C4—104no—
554C3×C4—202no—
555C3×C4—201no—
556C2×C5—21no—
557C2×C5—22no—
558C2×C5—21no—
559C2×C5—22no—
560C2×C5—21no—
561C2×C5—42no—
562C2×C5C2×C3×#12011yescharacteristic
563D5—44no—
564D5—81no—
565C23—21no—
566C23—21no—
567C23—54no—
568C23—81no—
569C23—81no—
570C23—104no—
571C23—102no—
572C23—102no—
573C23—101no—
574C23—102no—
575C23—401no—
576C23—402no—
577C23—402no—
578C23C2×C3×D2012yes—
579C23C2×C3×D2011yescharacteristic
580C23C2×C3×D2011yescharacteristic
581C23C3×D4×D512yes—
582C23C3×D4×D512yes—
583C23C23×C3×D511yescharacteristic
584Q8—104no—
585D4—24no—
586D4—24no—
587D4—104no—
588D4—108no—
589D4—104no—
590D4—104no—
591D4—104no—
592D4—104no—
593D4—201no—
594D4—201no—
595D4—202no—
596D4—404no—
597D4—402no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—24no—
601C2×C4—54no—
602C2×C4—82no—
603C2×C4—108no—
604C2×C4—104no—
605C2×C4—102no—
606C2×C4—102no—
607C2×C4—102no—
608C2×C4—101no—
609C2×C4—102no—
610C2×C4—401no—
611C2×C4C2×C3×D2012yes—
612C2×C3—22no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—22no—
617C2×C3—42no—
618C2×C3—204no—
619C2×C3—401no—
620C2×C3C2×#402811yescharacteristic
621C5C3×#302611yescharacteristic, complemented, Sylow
622C22—22no—
623C22—42no—
624C22—41no—
625C22—41no—
626C22—42no—
627C22—41no—
628C22—42no—
629C22—42no—
630C22—81no—
631C22—104no—
632C22—204no—
633C22—204no—
634C22—204no—
635C22—202no—
636C22—201no—
637C22—402no—
638C22—404no—
639C22C3×#402811yescharacteristic
640C22C3×#402811yescharacteristic
641C22C3×#402812yes—
642C22C22×C3×D2011yescharacteristic
643C22C2×C3×D4×D512yes—
644C4—22no—
645C4—44no—
646C4—104no—
647C4—202no—
648C4—201no—
649C3#1061041711yescharacteristic, direct product factor, Sylow
650C2—22no—
651C2—21no—
652C2—21no—
653C2—21no—
654C2—22no—
655C2—42no—
656C2—204no—
657C2—401no—
658C2C2×C3×#402811yescharacteristic
subgroupG/H
centerC2×C3C2×#4028
commutator, cosocleC23×C5C24×C3
FrattiniC23C23×C3×D5
FittingC2×C3×C5×#99C2
socleC2×C3×C5C2×#120
hypercenterC2×C3×#99D5
hypocenterC5C3×#3026
LCSG ▷ C23×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C2×C3 ◁ C24×C3 ◁ C2×C3×#99

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4144C2semidirect
2. C3×#66138C2semidirect
3. C3×#65827C2semidirect
4. C2×C3×C5×#99C2semidirect
5. C2×C3×#3938C2semidirect
6. C3×#65031C2semidirect
7. C3×#65030C2semidirect
8. #10610417C3direct (N × H)
12. C22×C3×C22⋊D5C22semidirect
19. C2×C3×C5×C22⋊C4C22semidirect
21. C2×C3×C22⋊Dic5C22semidirect
23. C3×#4083C22semidirect
24. C3×#4081C22semidirect
28. C3×#4032C22semidirect
30. C3×#4028C22semidirect
31. C3×C5×#99C22semidirect
32. C3×#3938C22semidirect
34. C2×#4144C2×C3semidirect
35. #66138C2×C3semidirect
36. #65827C2×C3semidirect
37. C2×C5×#99C2×C3semidirect
38. C2×#3938C2×C3semidirect
39. #65031C2×C3semidirect
40. #65030C2×C3semidirect
41. C24×C3×C5D4semidirect
44. C23×C3×D5D4semidirect
45. C23×C3×D5C23semidirect
48. C2×C3×C5×D4D4semidirect
51. C22×C3×C4×C5D4semidirect
64. C2×C3×C22⋊D5D4semidirect
68. C22×C3×Dic5D4semidirect
69. C22×C3×Dic5C23semidirect
81. C3×C5×C22⋊C4C23semidirect
84. C3×C22⋊Dic5C23semidirect
96. C2×C3×#99D5semidirect
100. C22×C22⋊D5C22×C3semidirect
107. C2×C5×C22⋊C4C22×C3semidirect
109. C2×C22⋊Dic5C22×C3semidirect
111. #4083C22×C3semidirect
112. #4081C22×C3semidirect
116. #4032C22×C3semidirect
118. #4028C22×C3semidirect
119. C5×#99C22×C3semidirect
120. #3938C22×C3semidirect
190. C2×C3×C22⋊C4C2×D5semidirect
192. C3×#99C2×D5semidirect
193. C24×C5C3×D4semidirect
196. C23×D5C3×D4semidirect
197. C23×D5C23×C3semidirect
200. C2×C5×D4C3×D4semidirect
203. C22×C4×C5C3×D4semidirect
216. C2×C22⋊D5C3×D4semidirect
220. C22×Dic5C3×D4semidirect
221. C22×Dic5C23×C3semidirect
233. C5×C22⋊C4C23×C3semidirect
236. C22⋊Dic5C23×C3semidirect
248. C2×#99C3×D5semidirect
279. C24×C3D20semidirect
306. C2×C3×D4D20semidirect
314. C22×C3×C4D20semidirect
324. C3×C22⋊C4C22×D5semidirect
393. C2×C22⋊C4C2×C3×D5semidirect
395. #99C2×C3×D5semidirect
482. C24C3×D20semidirect
509. C2×D4C3×D20semidirect
517. C22×C4C3×D20semidirect
527. C22⋊C4C22×C3×D5semidirect
528. C3×C5#3026semidirect
621. C5C3×#3026semidirect
649. C3#10610417direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41442
C3×#661382
C3×#658272
C2×C3×C5×#992
C2×C3×#39382
C3×#650312
C3×#650302
#106104173
C3×#30265