Finite Group Databasebeta

← C3×#10618195 #14480630

Subgroups — C3×#10618195 #14480630

Order 1920.

3112 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
1C22×C3×#711C212yesmaximal, complemented
2C3×C5×#534C211yesmaximal, characteristic, complemented
3C3×#66138C212yesmaximal, complemented
4C3×#65990C214yesmaximal, complemented
5C3×#65982C214yesmaximal, complemented
6C3×#65931C214yesmaximal, complemented
7C3×#65930C214yesmaximal, complemented
8C3×#65926C214yesmaximal, complemented
9C3×#65920C214yesmaximal, complemented
10C3×#65827C211yesmaximal, characteristic, complemented
11C2×C3×#4023C211yesmaximal, characteristic, complemented
12#10618195C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2212yes—
14C22×C3×C22⋊D5C2212yes—
15C22×C3×C22⋊D5C2212yescomplemented
16C23×C3×Dic5C2211yescharacteristic
17C23×C3×Dic5C2212yescomplemented
18C2×C3×#711—216no—
19C2×C3×#711C2214yes—
20C2×C3×#711C2214yes—
21C2×C3×#711C2214yescomplemented
22C2×C3×#711C2214yescomplemented
23C22×C3×C4×D5C2212yescomplemented
24C22×C3×Dic10C2212yescomplemented
25C3×C5×#123C2214yescomplemented
26C3×C5×#121C2214yescomplemented
27C3×C5×#120C2214yescomplemented
28C2×C3×C5×C22⋊C4C2211yescharacteristic
29C3×#4099C2214yescomplemented
30C2×C3×C22⋊Dic5C2211yescharacteristic
31C3×#4086C2214yescomplemented
32C3×#4085C2218yescomplemented
33C3×#4085C2218yescomplemented
34C3×#4083C2214yescomplemented
35C3×#4081C2214yescomplemented
36C3×D4×Dic5C2214yescomplemented
37C3×#4076C2214yescomplemented
38C3×#4075C2214yescomplemented
39C2×C3×#683C2212yescomplemented
40C2×C3×C4×Dic5C2212yescomplemented
41C3×#4042C2218yescomplemented
42C3×#4039C2214yescomplemented
43C3×#4034C2214yescomplemented
44C3×#4032C2214yescomplemented
45C3×#4031C2218yescomplemented
46C3×#4030C2218yescomplemented
47C3×#4028C2214yescomplemented
48C3×#4027C2218yescomplemented
49C3×#4024C2218yescomplemented
50C3×#4023C2214yescomplemented
51C3×#4023C2214yescomplemented
52C3×#3449—51nomaximal, Hall
53C22×#711C2×C312yescomplemented
54C5×#534C2×C311yescharacteristic, complemented
55#66138C2×C312yescomplemented
56#65990C2×C314yescomplemented
57#65982C2×C314yescomplemented
58#65931C2×C314yescomplemented
59#65930C2×C314yescomplemented
60#65926C2×C314yescomplemented
61#65920C2×C314yescomplemented
62#65827C2×C311yescharacteristic, complemented
63C2×#4023C2×C311yescharacteristic, complemented
64C24×C3×C5C2312yes—
65C24×C3×C5C2311yescharacteristic
66C23×C3×D5C2312yes—
67C2×C3×C5×D4—28no—
68C2×C3×C5×D4C2314yes—
69C2×C3×C5×D4C2314yes—
70C2×C3×C5×D4C2314yes—
71C22×C3×C4×C5C2312yes—
72C22×C3×C4×C5C2312yes—
73C2×C3×C22⋊D5—28no—
74C2×C3×C22⋊D5—28no—
75C2×C3×C22⋊D5C2314yes—
76C2×C3×C22⋊D5C2314yes—
77C2×C3×C22⋊D5C2314yes—
78C2×C3×C22⋊D5C2314yes—
79C2×C3×C22⋊D5C2318yes—
80C22×C3×Dic5—28no—
81C22×C3×Dic5D418yescomplemented
82C22×C3×Dic5C2314yes—
83C22×C3×Dic5C2312yes—
84C22×C3×Dic5C2314yes—
85C22×C3×Dic5C2312yes—
86C22×C3×Dic5C2312yes—
87C22×C3×Dic5C2312yes—
88C22×C3×Dic5C2311yescharacteristic
89C22×C3×Dic5C2311yescharacteristic
90C3×#711—216no—
91C3×#711—216no—
92C3×#711—216no—
93C3×#711—216no—
94C2×C3×D20C2314yes—
95C2×C3×C4×D5—28no—
96C2×C3×C4×D5C2314yes—
97C2×C3×C4×D5C2314yes—
98C2×C3×Dic10—28no—
99C2×C3×Dic10C2314yes—
100C2×C3×Dic10C2314yes—
101C3×C5×C4⋊C4C2314yes—
102C3×C5×C22⋊C4C2314yes—
103C3×C5×C22⋊C4C2318yes—
104C3×C22⋊Dic5C2318yes—
105C3×C22⋊Dic5C2314yes—
106C3×#685C2318yes—
107C3×#685C2318yes—
108C3×C4⋊Dic5C2314yes—
109C3×#683C2318yes—
110C3×#683C2318yes—
111C3×C4×Dic5C2314yes—
112C3×C4×Dic5C2314yes—
113C22×C3×#41—52no—
114C3×#537—54no—
115C3×#536—54no—
116C3×#535—54no—
117C3×#534—52no—
118C3×#534—51no—
119C3×#534D511yescharacteristic, complemented
120C3×#532—54no—
121C3×#525—54no—
122C3×#525—54no—
123C2×C3×#117—51no—
124C22×C5×D4C22×C312yes—
125C22×C22⋊D5C22×C312yes—
126C22×C22⋊D5C22×C312yescomplemented
127C23×Dic5C22×C311yescharacteristic
128C23×Dic5C22×C312yescomplemented
129C2×#711—216no—
130C2×#711C22×C314yes—
131C2×#711C22×C314yes—
132C2×#711C22×C314yescomplemented
133C2×#711C22×C314yescomplemented
134C22×C4×D5C22×C312yescomplemented
135C22×Dic10C22×C312yescomplemented
136C5×#123C22×C314yescomplemented
137C5×#121C22×C314yescomplemented
138C5×#120C22×C314yescomplemented
139C2×C5×C22⋊C4C22×C311yescharacteristic
140#4099C22×C314yescomplemented
141C2×C22⋊Dic5C22×C311yescharacteristic
142#4086C22×C314yescomplemented
143#4085C22×C318yescomplemented
144#4085C22×C318yescomplemented
145#4083C22×C314yescomplemented
146#4081C22×C314yescomplemented
147D4×Dic5C22×C314yescomplemented
148#4076C22×C314yescomplemented
149#4075C22×C314yescomplemented
150C2×#683C22×C312yescomplemented
151C2×C4×Dic5C22×C312yescomplemented
152#4042C22×C318yescomplemented
153#4039C22×C314yescomplemented
154#4034C22×C314yescomplemented
155#4032C22×C314yescomplemented
156#4031C22×C318yescomplemented
157#4030C22×C318yescomplemented
158#4028C22×C314yescomplemented
159#4027C22×C318yescomplemented
160#4024C22×C318yescomplemented
161#4023C22×C314yescomplemented
162#4023C22×C314yescomplemented
163#3449—51noSylow
164C23×C3×C5—24no—
165C23×C3×C5—42no—
166C23×C3×C5—44no—
167C23×C3×C5C2×D414yes—
168C23×C3×C5C2414yes—
169C23×C3×C5C2412yes—
170C23×C3×C5C2411yescharacteristic
171C22×C3×D5—24no—
172C22×C3×D5—44no—
173C22×C3×D5C2414yes—
174C3×C5×D4—28no—
175C3×C5×D4—28no—
176C3×C5×D4—44no—
177C2×C3×C4×C5—24no—
178C2×C3×C4×C5—42no—
179C2×C3×C4×C5C2414yes—
180C2×C3×C4×C5C2414yes—
181C3×C22⋊D5—28no—
182C3×C22⋊D5—28no—
183C3×C22⋊D5—28no—
184C3×C22⋊D5—28no—
185C3×C22⋊D5—48no—
186C2×C3×Dic5—24no—
187C2×C3×Dic5—28no—
188C2×C3×Dic5—28no—
189C2×C3×Dic5—42no—
190C2×C3×Dic5C2×D418yes—
191C2×C3×Dic5C2×D418yes—
192C2×C3×Dic5C2×D414yes—
193C2×C3×Dic5C2×D414yes—
194C2×C3×Dic5C2414yes—
195C2×C3×Dic5C2414yes—
196C2×C3×Dic5C2411yescharacteristic
197C2×C3×Dic5C2411yescharacteristic
198C2×C3×Dic5C2412yes—
199C3×D20—44no—
200C3×C4×D5—28no—
201C3×C4×D5—28no—
202C3×Dic10—28no—
203C3×Dic10—28no—
204C2×C3×#41—54no—
205C2×C3×#41—54no—
206C2×C3×#41—54no—
207C2×C3×#41—54no—
208C2×C3×#41—1016no—
209C22×C3×Q8—52no—
210C22×C3×D4—52no—
211C22×C3×D4—52no—
212C22×C3×D4C2×D512yes—
213C23×C3×C4—51no—
214C23×C3×C4—52no—
215C23×C3×C4—52no—
216C3×C4⋊Q8—54no—
217C3×#127—54no—
218C3×#124—58no—
219C3×#123—54no—
220C3×#123—54no—
221C3×#123—54no—
222C3×#123C2×D514yescomplemented
223C3×C22⋊Q8—58no—
224C3×C22⋊Q8—58no—
225C3×#121—58no—
226C3×#121—58no—
227C3×#121—54no—
228C3×#121—58no—
229C3×#121C2×D514yescomplemented
230C3×#120—54no—
231C3×#120—54no—
232C3×#120—54no—
233C3×#120C2×D514yescomplemented
234C3×C4×D4—54no—
235C3×C4×D4—54no—
236C3×C4×D4—58no—
237C3×#117—54no—
238C3×#117—54no—
239C2×C3×C4⋊C4—52no—
240C2×C3×C22⋊C4—51no—
241C2×C3×C22⋊C4C2×D511yescharacteristic
242C2×C3×C42—52no—
243C24×C5C23×C312yes—
244C24×C5C23×C311yescharacteristic
245C23×D5C23×C312yes—
246C2×C5×D4—28no—
247C2×C5×D4C23×C314yes—
248C2×C5×D4C23×C314yes—
249C2×C5×D4C23×C314yes—
250C22×C4×C5C23×C312yes—
251C22×C4×C5C23×C312yes—
252C2×C22⋊D5—28no—
253C2×C22⋊D5—28no—
254C2×C22⋊D5C23×C314yes—
255C2×C22⋊D5C23×C314yes—
256C2×C22⋊D5C23×C314yes—
257C2×C22⋊D5C23×C314yes—
258C2×C22⋊D5C23×C318yes—
259C22×Dic5—28no—
260C22×Dic5C3×D418yescomplemented
261C22×Dic5C23×C312yes—
262C22×Dic5C23×C314yes—
263C22×Dic5C23×C314yes—
264C22×Dic5C23×C312yes—
265C22×Dic5C23×C312yes—
266C22×Dic5C23×C312yes—
267C22×Dic5C23×C311yescharacteristic
268C22×Dic5C23×C311yescharacteristic
269#711—216no—
270#711—216no—
271#711—216no—
272#711—216no—
273C2×D20C23×C314yes—
274C2×C4×D5—28no—
275C2×C4×D5C23×C314yes—
276C2×C4×D5C23×C314yes—
277C2×Dic10—28no—
278C2×Dic10C23×C314yes—
279C2×Dic10C23×C314yes—
280C5×C4⋊C4C23×C314yes—
281C5×C22⋊C4C23×C314yes—
282C5×C22⋊C4C23×C318yes—
283C22⋊Dic5C23×C314yes—
284C22⋊Dic5C23×C318yes—
285#685C23×C318yes—
286#685C23×C318yes—
287C4⋊Dic5C23×C314yes—
288#683C23×C318yes—
289#683C23×C318yes—
290C4×Dic5C23×C314yes—
291C4×Dic5C23×C314yes—
292C22×#41—52no—
293#537—54no—
294#536—54no—
295#535—54no—
296#534—52no—
297#534—51no—
298#534C3×D511yescharacteristic, complemented
299#532—54no—
300#525—54no—
301#525—54no—
302C2×#117—51no—
303C22×C3×C5—22no—
304C22×C3×C5—24no—
305C22×C3×C5—24no—
306C22×C3×C5—28no—
307C22×C3×C5—44no—
308C22×C3×C5—48no—
309C22×C3×C5C22×D414yes—
310C22×C3×C5C22×D412yes—
311C22×C3×C5C2511yescharacteristic
312C2×C3×D5—24no—
313C2×C3×D5—28no—
314C2×C3×D5—48no—
315C3×C4×C5—24no—
316C3×C4×C5—24no—
317C3×Dic5—24no—
318C3×Dic5—24no—
319C3×Dic5C22×D412yes—
320C3×Dic5C22×D414yes—
321C3×Dic5C22×D412yes—
322C24×C3—52no—
323C24×C3C22×D512yes—
324C24×C3C22×D511yescharacteristic
325C3×#41—1016no—
326C3×#41—1016no—
327C3×#41—1016no—
328C3×#41—1016no—
329C2×C3×Q8—54no—
330C2×C3×Q8—54no—
331C2×C3×Q8—108no—
332C2×C3×D4—28no—
333C2×C3×D4—54no—
334C2×C3×D4—54no—
335C2×C3×D4—54no—
336C2×C3×D4—54no—
337C2×C3×D4—58no—
338C2×C3×D4—54no—
339C2×C3×D4—108no—
340C2×C3×D4—108no—
341C2×C3×D4C22×D514yes—
342C2×C3×D4C22×D514yes—
343C2×C3×D4C22×D514yes—
344C22×C3×C4—58no—
345C22×C3×C4—51no—
346C22×C3×C4—51no—
347C22×C3×C4—52no—
348C22×C3×C4—52no—
349C22×C3×C4—54no—
350C22×C3×C4—54no—
351C22×C3×C4—52no—
352C22×C3×C4—52no—
353C22×C3×C4—54no—
354C22×C3×C4—54no—
355C22×C3×C4—108no—
356C22×C3×C4—108no—
357C22×C3×C4C22×D512yes—
358C22×C3×C4C22×D512yes—
359C3×C4⋊C4—58no—
360C3×C4⋊C4—58no—
361C3×C4⋊C4—54no—
362C3×C4⋊C4C22×D514yes—
363C3×C22⋊C4—54no—
364C3×C22⋊C4—58no—
365C3×C22⋊C4—58no—
366C3×C22⋊C4—58no—
367C3×C22⋊C4C22×D514yes—
368C3×C22⋊C4C22×D518yes—
369C3×C42—54no—
370C3×C42—54no—
371C23×C5—24no—
372C23×C5—42no—
373C23×C5—44no—
374C23×C5C2×C3×D414yes—
375C23×C5C24×C314yes—
376C23×C5C24×C312yes—
377C23×C5C24×C311yescharacteristic
378C22×D5—24no—
379C22×D5—44no—
380C22×D5C24×C314yes—
381C5×D4—28no—
382C5×D4—28no—
383C5×D4—44no—
384C2×C4×C5—24no—
385C2×C4×C5—42no—
386C2×C4×C5C24×C314yes—
387C2×C4×C5C24×C314yes—
388C22⋊D5—28no—
389C22⋊D5—28no—
390C22⋊D5—28no—
391C22⋊D5—28no—
392C22⋊D5—48no—
393C2×Dic5—24no—
394C2×Dic5—28no—
395C2×Dic5—28no—
396C2×Dic5—42no—
397C2×Dic5C2×C3×D418yes—
398C2×Dic5C2×C3×D418yes—
399C2×Dic5C2×C3×D414yes—
400C2×Dic5C2×C3×D414yes—
401C2×Dic5C24×C314yes—
402C2×Dic5C24×C314yes—
403C2×Dic5C24×C311yescharacteristic
404C2×Dic5C24×C311yescharacteristic
405C2×Dic5C24×C312yes—
406D20—44no—
407C4×D5—28no—
408C4×D5—28no—
409Dic10—28no—
410Dic10—28no—
411C2×#41—54no—
412C2×#41—54no—
413C2×#41—54no—
414C2×#41—54no—
415C2×#41—1016no—
416C22×Q8—52no—
417C22×D4—52no—
418C22×D4—52no—
419C22×D4C2×C3×D512yes—
420C23×C4—51no—
421C23×C4—52no—
422C23×C4—52no—
423C4⋊Q8—54no—
424#127—54no—
425#124—58no—
426#123—54no—
427#123—54no—
428#123—54no—
429#123C2×C3×D514yescomplemented
430C22⋊Q8—58no—
431C22⋊Q8—58no—
432#121—58no—
433#121—58no—
434#121—54no—
435#121—58no—
436#121C2×C3×D514yescomplemented
437#120—54no—
438#120—54no—
439#120—54no—
440#120C2×C3×D514yescomplemented
441C4×D4—54no—
442C4×D4—54no—
443C4×D4—58no—
444#117—54no—
445#117—54no—
446C2×C4⋊C4—52no—
447C2×C22⋊C4—51no—
448C2×C22⋊C4C2×C3×D511yescharacteristic
449C2×C42—52no—
450C2×C3×C5—24no—
451C2×C3×C5—22no—
452C2×C3×C5—44no—
453C2×C3×C5C23×D411yescharacteristic
454C2×C3×C5#58512yes—
455C3×D5—44no—
456C23×C3—24no—
457C23×C3—42no—
458C23×C3—44no—
459C23×C3—54no—
460C23×C3—104no—
461C23×C3—204no—
462C23×C3D4×D514yes—
463C23×C3C23×D514yes—
464C23×C3C23×D512yes—
465C23×C3C23×D511yescharacteristic
466C3×Q8—108no—
467C3×Q8—108no—
468C3×D4—28no—
469C3×D4—28no—
470C3×D4—44no—
471C3×D4—108no—
472C3×D4—108no—
473C3×D4—108no—
474C3×D4—108no—
475C3×D4—204no—
476C3×D4—208no—
477C2×C3×C4—24no—
478C2×C3×C4—42no—
479C2×C3×C4—58no—
480C2×C3×C4—58no—
481C2×C3×C4—54no—
482C2×C3×C4—54no—
483C2×C3×C4—51no—
484C2×C3×C4—51no—
485C2×C3×C4—52no—
486C2×C3×C4—54no—
487C2×C3×C4—54no—
488C2×C3×C4—108no—
489C2×C3×C4—108no—
490C2×C3×C4—108no—
491C2×C3×C4—108no—
492C2×C3×C4—104no—
493C2×C3×C4—202no—
494C2×C3×C4C23×D514yes—
495C2×C3×C4C23×D514yes—
496C22×C5—22no—
497C22×C5—24no—
498C22×C5—24no—
499C22×C5—28no—
500C22×C5—44no—
501C22×C5—48no—
502C22×C5C22×C3×D414yes—
503C22×C5C22×C3×D412yes—
504C22×C5C25×C311yescharacteristic
505C2×D5—24no—
506C2×D5—28no—
507C2×D5—48no—
508C4×C5—24no—
509C4×C5—24no—
510Dic5—24no—
511Dic5—24no—
512Dic5C22×C3×D412yes—
513Dic5C22×C3×D414yes—
514Dic5C22×C3×D412yes—
515C24—52no—
516C24C22×C3×D512yes—
517C24C22×C3×D511yescharacteristic
518#41—1016no—
519#41—1016no—
520#41—1016no—
521#41—1016no—
522C2×Q8—54no—
523C2×Q8—54no—
524C2×Q8—108no—
525C2×D4—28no—
526C2×D4—54no—
527C2×D4—54no—
528C2×D4—54no—
529C2×D4—54no—
530C2×D4—58no—
531C2×D4—54no—
532C2×D4—108no—
533C2×D4—108no—
534C2×D4C22×C3×D514yes—
535C2×D4C22×C3×D514yes—
536C2×D4C22×C3×D514yes—
537C22×C4—58no—
538C22×C4—51no—
539C22×C4—51no—
540C22×C4—52no—
541C22×C4—52no—
542C22×C4—54no—
543C22×C4—54no—
544C22×C4—52no—
545C22×C4—52no—
546C22×C4—54no—
547C22×C4—54no—
548C22×C4—108no—
549C22×C4—108no—
550C22×C4C22×C3×D512yes—
551C22×C4C22×C3×D512yes—
552C4⋊C4—58no—
553C4⋊C4—58no—
554C4⋊C4—54no—
555C4⋊C4C22×C3×D514yes—
556C22⋊C4—54no—
557C22⋊C4—58no—
558C22⋊C4—58no—
559C22⋊C4—58no—
560C22⋊C4C22×C3×D514yes—
561C22⋊C4C22×C3×D518yes—
562C42—54no—
563C42—54no—
564C3×C5#344911yescharacteristic, complemented, Hall
565C22×C3—22no—
566C22×C3—24no—
567C22×C3—24no—
568C22×C3—28no—
569C22×C3—44no—
570C22×C3—48no—
571C22×C3—104no—
572C22×C3—108no—
573C22×C3—208no—
574C22×C3C2×D4×D514yes—
575C22×C3C2×D4×D512yes—
576C22×C3C24×D511yescharacteristic
577C3×C4—24no—
578C3×C4—24no—
579C3×C4—52no—
580C3×C4—54no—
581C3×C4—52no—
582C3×C4—104no—
583C3×C4—104no—
584C2×C5—24no—
585C2×C5—22no—
586C2×C5—44no—
587C2×C5C23×C3×D411yescharacteristic
588C2×C5C3×#58512yes—
589D5—44no—
590C23—24no—
591C23—42no—
592C23—44no—
593C23—54no—
594C23—104no—
595C23—204no—
596C23C3×D4×D514yes—
597C23C23×C3×D514yes—
598C23C23×C3×D512yes—
599C23C23×C3×D511yescharacteristic
600Q8—108no—
601Q8—108no—
602D4—28no—
603D4—28no—
604D4—44no—
605D4—108no—
606D4—108no—
607D4—108no—
608D4—108no—
609D4—204no—
610D4—208no—
611C2×C4—24no—
612C2×C4—42no—
613C2×C4—58no—
614C2×C4—58no—
615C2×C4—54no—
616C2×C4—54no—
617C2×C4—51no—
618C2×C4—51no—
619C2×C4—52no—
620C2×C4—54no—
621C2×C4—54no—
622C2×C4—108no—
623C2×C4—108no—
624C2×C4—108no—
625C2×C4—108no—
626C2×C4—104no—
627C2×C4—202no—
628C2×C4C23×C3×D514yes—
629C2×C4C23×C3×D514yes—
630C2×C3—24no—
631C2×C3—22no—
632C2×C3—44no—
633C2×C3—204no—
634C2×C3C22×D4×D511yescharacteristic
635C2×C3#6628512yes—
636C5C3×#344911yescharacteristic, complemented, Sylow
637C22—22no—
638C22—24no—
639C22—24no—
640C22—28no—
641C22—44no—
642C22—48no—
643C22—104no—
644C22—108no—
645C22—208no—
646C22C2×C3×D4×D514yes—
647C22C2×C3×D4×D512yes—
648C22C24×C3×D511yescharacteristic
649C4—24no—
650C4—24no—
651C4—52no—
652C4—54no—
653C4—52no—
654C4—104no—
655C4—104no—
656C3#1061819511yescharacteristic, direct product factor, Sylow
657C2—24no—
658C2—22no—
659C2—44no—
660C2—204no—
661C2C22×C3×D4×D511yescharacteristic
662C2C3×#6628512yes—
subgroupG/H
centerC22×C3C24×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC3×C5×#534C2
socleC22×C3×C5C25
hypercenterC3×#534D5
hypocenterC5C3×#3449
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×#534

Complements

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

NH ≅ G/Ntype
1. C22×C3×#711C2semidirect
2. C3×C5×#534C2semidirect
3. C3×#66138C2semidirect
4. C3×#65990C2semidirect
5. C3×#65982C2semidirect
6. C3×#65931C2semidirect
7. C3×#65930C2semidirect
8. C3×#65926C2semidirect
9. C3×#65920C2semidirect
10. C3×#65827C2semidirect
11. C2×C3×#4023C2semidirect
12. #10618195C3direct (N × H)
15. C22×C3×C22⋊D5C22semidirect
17. C23×C3×Dic5C22semidirect
21. C2×C3×#711C22semidirect
22. C2×C3×#711C22semidirect
23. C22×C3×C4×D5C22semidirect
24. C22×C3×Dic10C22semidirect
25. C3×C5×#123C22semidirect
26. C3×C5×#121C22semidirect
27. C3×C5×#120C22semidirect
29. C3×#4099C22semidirect
31. C3×#4086C22semidirect
32. C3×#4085C22semidirect
33. C3×#4085C22semidirect
34. C3×#4083C22semidirect
35. C3×#4081C22semidirect
36. C3×D4×Dic5C22semidirect
37. C3×#4076C22semidirect
38. C3×#4075C22semidirect
39. C2×C3×#683C22semidirect
40. C2×C3×C4×Dic5C22semidirect
41. C3×#4042C22semidirect
42. C3×#4039C22semidirect
43. C3×#4034C22semidirect
44. C3×#4032C22semidirect
45. C3×#4031C22semidirect
46. C3×#4030C22semidirect
47. C3×#4028C22semidirect
48. C3×#4027C22semidirect
49. C3×#4024C22semidirect
50. C3×#4023C22semidirect
51. C3×#4023C22semidirect
53. C22×#711C2×C3semidirect
54. C5×#534C2×C3semidirect
55. #66138C2×C3semidirect
56. #65990C2×C3semidirect
57. #65982C2×C3semidirect
58. #65931C2×C3semidirect
59. #65930C2×C3semidirect
60. #65926C2×C3semidirect
61. #65920C2×C3semidirect
62. #65827C2×C3semidirect
63. C2×#4023C2×C3semidirect
81. C22×C3×Dic5D4semidirect
119. C3×#534D5semidirect
126. C22×C22⋊D5C22×C3semidirect
128. C23×Dic5C22×C3semidirect
132. C2×#711C22×C3semidirect
133. C2×#711C22×C3semidirect
134. C22×C4×D5C22×C3semidirect
135. C22×Dic10C22×C3semidirect
136. C5×#123C22×C3semidirect
137. C5×#121C22×C3semidirect
138. C5×#120C22×C3semidirect
140. #4099C22×C3semidirect
142. #4086C22×C3semidirect
143. #4085C22×C3semidirect
144. #4085C22×C3semidirect
145. #4083C22×C3semidirect
146. #4081C22×C3semidirect
147. D4×Dic5C22×C3semidirect
148. #4076C22×C3semidirect
149. #4075C22×C3semidirect
150. C2×#683C22×C3semidirect
151. C2×C4×Dic5C22×C3semidirect
152. #4042C22×C3semidirect
153. #4039C22×C3semidirect
154. #4034C22×C3semidirect
155. #4032C22×C3semidirect
156. #4031C22×C3semidirect
157. #4030C22×C3semidirect
158. #4028C22×C3semidirect
159. #4027C22×C3semidirect
160. #4024C22×C3semidirect
161. #4023C22×C3semidirect
162. #4023C22×C3semidirect
222. C3×#123C2×D5semidirect
229. C3×#121C2×D5semidirect
233. C3×#120C2×D5semidirect
260. C22×Dic5C3×D4semidirect
298. #534C3×D5semidirect
429. #123C2×C3×D5semidirect
436. #121C2×C3×D5semidirect
440. #120C2×C3×D5semidirect
564. C3×C5#3449semidirect
636. C5C3×#3449semidirect
656. C3#10618195direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7112
C3×C5×#5342
C3×#661382
C3×#659902
C3×#659822
C3×#659312
C3×#659302
C3×#659262
C3×#659202
C3×#658272
C2×C3×#40232
#106181953
C3×#34495