Finite Group Databasebeta

← C3×#10611915 #14424106

Subgroups — C3×#10611915 #14424106

Order 1920.

1508 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#713C211yesmaximal, characteristic
2C2×C3×#4064C212yesmaximal, complemented
3C3×D5×C22⋊Q8C211yesmaximal, characteristic, complemented
4C3×C5×#451C211yesmaximal, characteristic, complemented
5C3×#65517C211yesmaximal, characteristic, complemented
6C3×#65476C212yesmaximal, complemented
7C3×#65335C211yesmaximal, characteristic, complemented
8C3×#65099C212yesmaximal, complemented
9C3×#65092C212yesmaximal, complemented
10C3×#65020C211yesmaximal, characteristic, complemented
11C3×#65015C211yesmaximal, characteristic, complemented
12#10611915C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C2×C3×#713—28no—
15C2×C3×#713—21no—
16C2×C3×#713—21no—
17C2×C3×#713C2212yes—
18C2×C3×#713C2212yes—
19C2×C3×Q8×D5C2211yescharacteristic, complemented
20C22×C3×D20—21no—
21C22×C3×D20C2211yescharacteristic
22C22×C3×C4×D5—21no—
23C22×C3×C4×D5C2211yescharacteristic
24C2×C3×C5×Q16C2212yescomplemented
25C3×C5×C22⋊Q8C2211yescharacteristic
26C3×#4092C2211yescharacteristic, complemented
27C2×C3×#689C2212yescomplemented
28C2×C3×#688C2212yescomplemented
29C3×#4070C2211yescharacteristic
30C3×#4064—28no—
31C2×C3×#677C2212yescomplemented
32C2×C3×#676C2212yescomplemented
33C3×#4043C2211yescharacteristic, complemented
34C3×#4042—21no—
35C3×D5×C4⋊C4—21no—
36C3×D5×C4⋊C4C2211yescharacteristic, complemented
37C3×D5×C22⋊C4—21no—
38C3×#4024—21no—
39C3×C5×#103C2212yescomplemented
40C3×C5×C22⋊C8C2211yescharacteristic
41C3×#3967C2212yescomplemented
42C3×C22⋊#168C2211yescharacteristic
43C3×#3953C2212yescomplemented
44C3×#3952C2212yescomplemented
45C3×#3941C2212yescomplemented
46C3×#3007—51nomaximal, Hall
47C22×#713C2×C311yescharacteristic
48C2×#4064C2×C312yescomplemented
49D5×C22⋊Q8C2×C311yescharacteristic, complemented
50C5×#451C2×C311yescharacteristic, complemented
51#65517C2×C311yescharacteristic, complemented
52#65476C2×C312yescomplemented
53#65335C2×C311yescharacteristic, complemented
54#65099C2×C312yescomplemented
55#65092C2×C312yescomplemented
56#65020C2×C311yescharacteristic, complemented
57#65015C2×C311yescharacteristic, complemented
58C23×C3×D5—21no—
59C23×C3×D5D411yescharacteristic
60C2×C3×C5×Q8—24no—
61C2×C3×C5×Q8—21no—
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×Q8C2312yes—
64C22×C3×C4×C5—21no—
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×Dic5D411yescharacteristic
67C3×#713—28no—
68C3×#713—28no—
69C3×#713—24no—
70C3×#713—24no—
71C3×#713—24no—
72C3×#713D418yes—
73C3×Q8×D5—24no—
74C2×C3×D20—28no—
75C2×C3×D20—22no—
76C2×C3×D20—22no—
77C2×C3×D20—21no—
78C2×C3×D20—24no—
79C2×C3×D20C2312yes—
80C2×C3×C4×D5—28no—
81C2×C3×C4×D5—22no—
82C2×C3×C4×D5—22no—
83C2×C3×C4×D5—24no—
84C2×C3×C4×D5—21no—
85C2×C3×C4×D5—21no—
86C2×C3×C4×D5D411yescharacteristic
87C2×C3×C4×D5D411yescharacteristic
88C2×C3×C4×D5C2311yescharacteristic
89C2×C3×C4×D5C2311yescharacteristic
90C2×C3×Dic10—21no—
91C2×C3×Dic10C2311yescharacteristic
92C3×C5×Q16—24no—
93C2×C3×C5×C8C2312yes—
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C22⋊C4—21no—
97C3×C22⋊Dic5—21no—
98C3×#689—24no—
99C3×#688—24no—
100C3×#685—21no—
101C3×#685—21no—
102C3×C4⋊Dic5—21no—
103C3×C4⋊Dic5C2311yescharacteristic
104C3×#683—21no—
105C3×#683—21no—
106C3×#683—21no—
107C2×C3×#168C2312yes—
108C3×#677—24no—
109C3×#676—24no—
110C22×C3×#41—51no—
111C2×C3×#137—52no—
112C2×C3×C22⋊Q8—51no—
113C3×#452—52no—
114C3×#452—52no—
115C3×#451—51no—
116C3×#451D511yescharacteristic, complemented
117C3×#450—51no—
118C3×#450—51no—
119C3×#417—52no—
120C3×#407—51no—
121C22×C5×Q8C22×C311yescharacteristic
122C2×#713—28no—
123C2×#713—21no—
124C2×#713—21no—
125C2×#713C22×C312yes—
126C2×#713C22×C312yes—
127C2×Q8×D5C22×C311yescharacteristic, complemented
128C22×D20—21no—
129C22×D20C22×C311yescharacteristic
130C22×C4×D5—21no—
131C22×C4×D5C22×C311yescharacteristic
132C2×C5×Q16C22×C312yescomplemented
133C5×C22⋊Q8C22×C311yescharacteristic
134#4092C22×C311yescharacteristic, complemented
135C2×#689C22×C312yescomplemented
136C2×#688C22×C312yescomplemented
137#4070C22×C311yescharacteristic
138#4064—28no—
139C2×#677C22×C312yescomplemented
140C2×#676C22×C312yescomplemented
141#4043C22×C311yescharacteristic, complemented
142#4042—21no—
143D5×C4⋊C4—21no—
144D5×C4⋊C4C22×C311yescharacteristic, complemented
145D5×C22⋊C4—21no—
146#4024—21no—
147C5×#103C22×C312yescomplemented
148C5×C22⋊C8C22×C311yescharacteristic
149#3967C22×C312yescomplemented
150C22⋊#168C22×C311yescharacteristic
151#3953C22×C312yescomplemented
152#3952C22×C312yescomplemented
153#3941C22×C312yescomplemented
154#3007—51noSylow
155C23×C3×C5C2×D411yescharacteristic
156C22×C3×D5—24no—
157C22×C3×D5—22no—
158C22×C3×D5—22no—
159C22×C3×D5—22no—
160C22×C3×D5—41no—
161C22×C3×D5—42no—
162C22×C3×D5—42no—
163C22×C3×D5C2×D411yescharacteristic
164C22×C3×D5C2×D411yescharacteristic
165C3×C5×Q8—24no—
166C3×C5×Q8—22no—
167C3×C5×Q8—22no—
168C3×C5×Q8C2×D414yes—
169C2×C3×C4×C5—24no—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—21no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2411yescharacteristic
176C2×C3×Dic5—22no—
177C2×C3×Dic5—21no—
178C2×C3×Dic5—21no—
179C2×C3×Dic5C2×D411yescharacteristic
180C2×C3×Dic5C2×D411yescharacteristic
181C3×D20—28no—
182C3×D20—24no—
183C3×D20—28no—
184C3×D20—22no—
185C3×D20C2×D414yes—
186C3×C4×D5—28no—
187C3×C4×D5—22no—
188C3×C4×D5—22no—
189C3×C4×D5—28no—
190C3×C4×D5—22no—
191C3×C4×D5—42no—
192C3×C4×D5—42no—
193C3×C4×D5C2×D414yes—
194C3×Dic10—22no—
195C3×Dic10—42no—
196C3×C5×C8—22no—
197C3×#168—22no—
198C2×C3×#41—52no—
199C2×C3×#41—52no—
200C2×C3×#41—101no—
201C2×C3×#41—101no—
202C2×C3×#41—108no—
203C22×C3×Q8—51no—
204C22×C3×Q8C2×D511yescharacteristic
205C22×C3×D4—51no—
206C22×C3×D4—101no—
207C23×C3×C4—51no—
208C23×C3×C4—101no—
209C3×#137—108no—
210C2×C3×Q16—52no—
211C2×C3×Q16C2×D512yescomplemented
212C2×C3×SD16—52no—
213C2×C3×SD16—52no—
214C2×C3×M16—52no—
215C3×C22⋊Q8—51no—
216C3×C22⋊Q8—51no—
217C3×C22⋊Q8—51no—
218C3×C22⋊Q8—101no—
219C3×C22⋊Q8—101no—
220C3×C22⋊Q8C2×D511yescharacteristic
221C2×C3×C4⋊C4—51no—
222C2×C3×C4⋊C4—101no—
223C2×C3×C22⋊C4—101no—
224C3×#103—52no—
225C3×#103C2×D512yescomplemented
226C3×#102—52no—
227C3×#102—52no—
228C3×C22⋊C8—51no—
229C3×C22⋊C8—52no—
230C3×C22⋊C8C2×D511yescharacteristic
231C23×D5—21no—
232C23×D5C3×D411yescharacteristic
233C2×C5×Q8—24no—
234C2×C5×Q8—21no—
235C2×C5×Q8C23×C311yescharacteristic
236C2×C5×Q8C23×C312yes—
237C22×C4×C5—21no—
238C22×C4×C5C23×C311yescharacteristic
239C22×Dic5C3×D411yescharacteristic
240#713—28no—
241#713—28no—
242#713—24no—
243#713—24no—
244#713—24no—
245#713C3×D418yes—
246Q8×D5—24no—
247C2×D20—28no—
248C2×D20—22no—
249C2×D20—22no—
250C2×D20—21no—
251C2×D20—24no—
252C2×D20C23×C312yes—
253C2×C4×D5—28no—
254C2×C4×D5—22no—
255C2×C4×D5—22no—
256C2×C4×D5—24no—
257C2×C4×D5—21no—
258C2×C4×D5—21no—
259C2×C4×D5C3×D411yescharacteristic
260C2×C4×D5C3×D411yescharacteristic
261C2×C4×D5C23×C311yescharacteristic
262C2×C4×D5C23×C311yescharacteristic
263C2×Dic10—21no—
264C2×Dic10C23×C311yescharacteristic
265C5×Q16—24no—
266C2×C5×C8C23×C312yes—
267C5×C4⋊C4—21no—
268C5×C4⋊C4C23×C311yescharacteristic
269C5×C22⋊C4—21no—
270C22⋊Dic5—21no—
271#689—24no—
272#688—24no—
273#685—21no—
274#685—21no—
275C4⋊Dic5—21no—
276C4⋊Dic5C23×C311yescharacteristic
277#683—21no—
278#683—21no—
279#683—21no—
280C2×#168C23×C312yes—
281#677—24no—
282#676—24no—
283C22×#41—51no—
284C2×#137—52no—
285C2×C22⋊Q8—51no—
286#452—52no—
287#452—52no—
288#451—51no—
289#451C3×D511yescharacteristic, complemented
290#450—51no—
291#450—51no—
292#417—52no—
293#407—51no—
294C22×C3×C5—21no—
295C22×C3×C5—21no—
296C22×C3×C5#13712yescomplemented
297C22×C3×C5C22×D411yescharacteristic
298C2×C3×D5—21no—
299C2×C3×D5—21no—
300C2×C3×D5—21no—
301C2×C3×D5—24no—
302C2×C3×D5—21no—
303C2×C3×D5—21no—
304C2×C3×D5—44no—
305C2×C3×D5—48no—
306C2×C3×D5—42no—
307C2×C3×D5—42no—
308C2×C3×D5#12012yes—
309C3×C4×C5—24no—
310C3×C4×C5—21no—
311C3×C4×C5—41no—
312C3×C4×C5—41no—
313C3×C4×C5C22×D412yes—
314C3×Dic5—21no—
315C3×Dic5—41no—
316C3×Dic5—41no—
317C3×Dic5#12012yes—
318C24×C3—51no—
319C24×C3—101no—
320C3×#41—58no—
321C3×#41—104no—
322C3×#41—104no—
323C3×#41—108no—
324C3×#41—108no—
325C3×#41—104no—
326C2×C3×Q8—24no—
327C2×C3×Q8—21no—
328C2×C3×Q8—51no—
329C2×C3×Q8—101no—
330C2×C3×Q8—104no—
331C2×C3×Q8C22×D511yescharacteristic
332C2×C3×Q8C22×D512yes—
333C2×C3×D4—52no—
334C2×C3×D4—104no—
335C2×C3×D4—102no—
336C2×C3×D4—102no—
337C2×C3×D4—108no—
338C2×C3×D4—101no—
339C22×C3×C4—21no—
340C22×C3×C4—51no—
341C22×C3×C4—51no—
342C22×C3×C4—51no—
343C22×C3×C4—51no—
344C22×C3×C4—51no—
345C22×C3×C4—104no—
346C22×C3×C4—102no—
347C22×C3×C4—102no—
348C22×C3×C4—108no—
349C22×C3×C4—101no—
350C22×C3×C4—101no—
351C22×C3×C4C22×D511yescharacteristic
352C3×Q16—24no—
353C3×Q16—104no—
354C3×SD16—104no—
355C3×SD16—104no—
356C3×M16—104no—
357C2×C3×C8—52no—
358C2×C3×C8C22×D512yes—
359C3×C4⋊C4—21no—
360C3×C4⋊C4—51no—
361C3×C4⋊C4—101no—
362C3×C4⋊C4—101no—
363C3×C4⋊C4—101no—
364C3×C4⋊C4—101no—
365C3×C4⋊C4C22×D511yescharacteristic
366C3×C22⋊C4—21no—
367C3×C22⋊C4—101no—
368C3×C22⋊C4—101no—
369C3×C22⋊C4—101no—
370C23×C5C2×C3×D411yescharacteristic
371C22×D5—24no—
372C22×D5—22no—
373C22×D5—22no—
374C22×D5—22no—
375C22×D5—41no—
376C22×D5—42no—
377C22×D5—42no—
378C22×D5C2×C3×D411yescharacteristic
379C22×D5C2×C3×D411yescharacteristic
380C5×Q8—24no—
381C5×Q8—22no—
382C5×Q8—22no—
383C5×Q8C2×C3×D414yes—
384C2×C4×C5—24no—
385C2×C4×C5—22no—
386C2×C4×C5—22no—
387C2×C4×C5—21no—
388C2×C4×C5—21no—
389C2×C4×C5C2×C3×D411yescharacteristic
390C2×C4×C5C24×C311yescharacteristic
391C2×Dic5—22no—
392C2×Dic5—21no—
393C2×Dic5—21no—
394C2×Dic5C2×C3×D411yescharacteristic
395C2×Dic5C2×C3×D411yescharacteristic
396D20—28no—
397D20—24no—
398D20—28no—
399D20—22no—
400D20C2×C3×D414yes—
401C4×D5—28no—
402C4×D5—22no—
403C4×D5—22no—
404C4×D5—28no—
405C4×D5—22no—
406C4×D5—42no—
407C4×D5—42no—
408C4×D5C2×C3×D414yes—
409Dic10—22no—
410Dic10—42no—
411C5×C8—22no—
412#168—22no—
413C2×#41—52no—
414C2×#41—52no—
415C2×#41—101no—
416C2×#41—101no—
417C2×#41—108no—
418C22×Q8—51no—
419C22×Q8C2×C3×D511yescharacteristic
420C22×D4—51no—
421C22×D4—101no—
422C23×C4—51no—
423C23×C4—101no—
424#137—108no—
425C2×Q16—52no—
426C2×Q16C2×C3×D512yescomplemented
427C2×SD16—52no—
428C2×SD16—52no—
429C2×M16—52no—
430C22⋊Q8—51no—
431C22⋊Q8—51no—
432C22⋊Q8—51no—
433C22⋊Q8—101no—
434C22⋊Q8—101no—
435C22⋊Q8C2×C3×D511yescharacteristic
436C2×C4⋊C4—51no—
437C2×C4⋊C4—101no—
438C2×C22⋊C4—101no—
439#103—52no—
440#103C2×C3×D512yescomplemented
441#102—52no—
442#102—52no—
443C22⋊C8—51no—
444C22⋊C8—52no—
445C22⋊C8C2×C3×D511yescharacteristic
446C2×C3×C5—22no—
447C2×C3×C5C2×#12011yescharacteristic
448C2×C3×C5C2×#13711yescharacteristic
449C2×C3×C5#57511yescharacteristic
450C3×D5—22no—
451C3×D5—41no—
452C3×D5—44no—
453C23×C3—51no—
454C23×C3—51no—
455C23×C3—102no—
456C23×C3—104no—
457C23×C3—102no—
458C23×C3—102no—
459C23×C3—201no—
460C23×C3—202no—
461C23×C3—202no—
462C23×C3D4×D511yescharacteristic
463C3×Q8—24no—
464C3×Q8—22no—
465C3×Q8—22no—
466C3×Q8—102no—
467C3×Q8—202no—
468C3×Q8D4×D514yes—
469C3×D4—54no—
470C3×D4—108no—
471C3×D4—108no—
472C3×D4—104no—
473C3×D4—102no—
474C2×C3×C4—24no—
475C2×C3×C4—22no—
476C2×C3×C4—22no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—51no—
480C2×C3×C4—54no—
481C2×C3×C4—51no—
482C2×C3×C4—102no—
483C2×C3×C4—108no—
484C2×C3×C4—102no—
485C2×C3×C4—108no—
486C2×C3×C4—102no—
487C2×C3×C4—102no—
488C2×C3×C4—101no—
489C2×C3×C4—101no—
490C2×C3×C4—202no—
491C2×C3×C4—202no—
492C2×C3×C4D4×D511yescharacteristic
493C2×C3×C4C23×D511yescharacteristic
494C3×C8—22no—
495C3×C8—102no—
496C22×C5—21no—
497C22×C5—21no—
498C22×C5C3×#13712yescomplemented
499C22×C5C22×C3×D411yescharacteristic
500C2×D5—21no—
501C2×D5—21no—
502C2×D5—21no—
503C2×D5—21no—
504C2×D5—21no—
505C2×D5—24no—
506C2×D5—44no—
507C2×D5—48no—
508C2×D5—42no—
509C2×D5—42no—
510C2×D5C3×#12012yes—
511C4×C5—24no—
512C4×C5—21no—
513C4×C5—41no—
514C4×C5—41no—
515C4×C5C22×C3×D412yes—
516Dic5—21no—
517Dic5—41no—
518Dic5—41no—
519Dic5C3×#12012yes—
520C24—51no—
521C24—101no—
522#41—58no—
523#41—104no—
524#41—104no—
525#41—108no—
526#41—108no—
527#41—104no—
528C2×Q8—24no—
529C2×Q8—21no—
530C2×Q8—51no—
531C2×Q8—101no—
532C2×Q8—104no—
533C2×Q8C22×C3×D511yescharacteristic
534C2×Q8C22×C3×D512yes—
535C2×D4—52no—
536C2×D4—104no—
537C2×D4—102no—
538C2×D4—102no—
539C2×D4—108no—
540C2×D4—101no—
541C22×C4—21no—
542C22×C4—51no—
543C22×C4—51no—
544C22×C4—51no—
545C22×C4—51no—
546C22×C4—51no—
547C22×C4—104no—
548C22×C4—102no—
549C22×C4—102no—
550C22×C4—108no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4C22×C3×D511yescharacteristic
554Q16—24no—
555Q16—104no—
556SD16—104no—
557SD16—104no—
558M16—104no—
559C2×C8—52no—
560C2×C8C22×C3×D512yes—
561C4⋊C4—21no—
562C4⋊C4—51no—
563C4⋊C4—101no—
564C4⋊C4—101no—
565C4⋊C4—101no—
566C4⋊C4—101no—
567C4⋊C4C22×C3×D511yescharacteristic
568C22⋊C4—21no—
569C22⋊C4—101no—
570C22⋊C4—101no—
571C22⋊C4—101no—
572C3×C5#300711yescharacteristic, complemented, Hall
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—52no—
576C22×C3—101no—
577C22×C3—101no—
578C22×C3—101no—
579C22×C3—101no—
580C22×C3—104no—
581C22×C3—101no—
582C22×C3—204no—
583C22×C3—208no—
584C22×C3—202no—
585C22×C3—202no—
586C22×C3#406412yescomplemented
587C22×C3C2×D4×D511yescharacteristic
588C3×C4—24no—
589C3×C4—21no—
590C3×C4—41no—
591C3×C4—41no—
592C3×C4—52no—
593C3×C4—101no—
594C3×C4—201no—
595C3×C4—201no—
596C3×C4C2×D4×D512yes—
597C2×C5—22no—
598C2×C5C2×C3×#12011yescharacteristic
599C2×C5C2×C3×#13711yescharacteristic
600C2×C5C3×#57511yescharacteristic
601D5—22no—
602D5—41no—
603D5—44no—
604C23—51no—
605C23—51no—
606C23—102no—
607C23—104no—
608C23—102no—
609C23—102no—
610C23—201no—
611C23—202no—
612C23—202no—
613C23C3×D4×D511yescharacteristic
614Q8—24no—
615Q8—22no—
616Q8—22no—
617Q8—102no—
618Q8—202no—
619Q8C3×D4×D514yes—
620D4—54no—
621D4—108no—
622D4—108no—
623D4—104no—
624D4—102no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—51no—
631C2×C4—54no—
632C2×C4—51no—
633C2×C4—102no—
634C2×C4—108no—
635C2×C4—102no—
636C2×C4—108no—
637C2×C4—102no—
638C2×C4—102no—
639C2×C4—101no—
640C2×C4—101no—
641C2×C4—202no—
642C2×C4—202no—
643C2×C4C3×D4×D511yescharacteristic
644C2×C4C23×C3×D511yescharacteristic
645C8—22no—
646C8—102no—
647C2×C3—22no—
648C2×C3—102no—
649C2×C3—201no—
650C2×C3—204no—
651C2×C3D5×#12011yescharacteristic
652C2×C3C2×#406411yescharacteristic
653C2×C3#6611111yescharacteristic
654C5C3×#300711yescharacteristic, complemented, Sylow
655C22—21no—
656C22—21no—
657C22—52no—
658C22—101no—
659C22—101no—
660C22—101no—
661C22—104no—
662C22—101no—
663C22—101no—
664C22—204no—
665C22—208no—
666C22—202no—
667C22—202no—
668C22C3×#406412yescomplemented
669C22C2×C3×D4×D511yescharacteristic
670C4—24no—
671C4—21no—
672C4—41no—
673C4—41no—
674C4—52no—
675C4—101no—
676C4—201no—
677C4—201no—
678C4C2×C3×D4×D512yes—
679C3#1061191511yescharacteristic, direct product factor, Sylow
680C2—22no—
681C2—102no—
682C2—201no—
683C2—204no—
684C2C3×D5×#12011yescharacteristic
685C2C2×C3×#406411yescharacteristic
686C2C3×#6611111yescharacteristic
subgroupG/H
centerC22×C3C2×D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC3×C5×#451C2
socleC22×C3×C5C22×D4
prime radicalC22×C3×#713C2
hypercenterC3×#451D5
hypocenterC5C3×#3007
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#451

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4064C2semidirect
3. C3×D5×C22⋊Q8C2semidirect
4. C3×C5×#451C2semidirect
5. C3×#65517C2semidirect
6. C3×#65476C2semidirect
7. C3×#65335C2semidirect
8. C3×#65099C2semidirect
9. C3×#65092C2semidirect
10. C3×#65020C2semidirect
11. C3×#65015C2semidirect
12. #10611915C3direct (N × H)
19. C2×C3×Q8×D5C22semidirect
24. C2×C3×C5×Q16C22semidirect
26. C3×#4092C22semidirect
27. C2×C3×#689C22semidirect
28. C2×C3×#688C22semidirect
31. C2×C3×#677C22semidirect
32. C2×C3×#676C22semidirect
33. C3×#4043C22semidirect
36. C3×D5×C4⋊C4C22semidirect
39. C3×C5×#103C22semidirect
41. C3×#3967C22semidirect
43. C3×#3953C22semidirect
44. C3×#3952C22semidirect
45. C3×#3941C22semidirect
48. C2×#4064C2×C3semidirect
49. D5×C22⋊Q8C2×C3semidirect
50. C5×#451C2×C3semidirect
51. #65517C2×C3semidirect
52. #65476C2×C3semidirect
53. #65335C2×C3semidirect
54. #65099C2×C3semidirect
55. #65092C2×C3semidirect
56. #65020C2×C3semidirect
57. #65015C2×C3semidirect
116. C3×#451D5semidirect
127. C2×Q8×D5C22×C3semidirect
132. C2×C5×Q16C22×C3semidirect
134. #4092C22×C3semidirect
135. C2×#689C22×C3semidirect
136. C2×#688C22×C3semidirect
139. C2×#677C22×C3semidirect
140. C2×#676C22×C3semidirect
141. #4043C22×C3semidirect
144. D5×C4⋊C4C22×C3semidirect
147. C5×#103C22×C3semidirect
149. #3967C22×C3semidirect
151. #3953C22×C3semidirect
152. #3952C22×C3semidirect
153. #3941C22×C3semidirect
211. C2×C3×Q16C2×D5semidirect
225. C3×#103C2×D5semidirect
289. #451C3×D5semidirect
296. C22×C3×C5#137semidirect
426. C2×Q16C2×C3×D5semidirect
440. #103C2×C3×D5semidirect
498. C22×C5C3×#137semidirect
572. C3×C5#3007semidirect
586. C22×C3#4064semidirect
654. C5C3×#3007semidirect
668. C22C3×#4064semidirect
679. C3#10611915direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7132
C2×C3×#40642
C3×D5×C22⋊Q82
C3×C5×#4512
C3×#655172
C3×#654762
C3×#653352
C3×#650992
C3×#650922
C3×#650202
C3×#650152
#106119153
C3×#30075