Finite Group Databasebeta

← C3×#10605099 #14326010

Subgroups — C3×#10605099 #14326010

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#709C211yesmaximal, characteristic
2C2×C3×C4×C22⋊D5C212yesmaximal, complemented
3C2×C3×C5×#95C211yesmaximal, characteristic, complemented
4C3×#65502C212yesmaximal, complemented
5C3×#65500C211yesmaximal, characteristic, complemented
6C3×#64956C211yesmaximal, characteristic, complemented
7C3×#64955C211yesmaximal, characteristic, complemented
8C3×#64954C212yesmaximal, complemented
9C3×#64953C211yesmaximal, characteristic, complemented
10C3×D5×#95C211yesmaximal, characteristic, complemented
11C3×#64935C212yesmaximal, complemented
12#10605099C311yesmaximal, characteristic, direct product factor, Hall
13C23×C3×C4×C5C2212yes—
14C23×C3×C4×C5C2211yescharacteristic
15C22×C3×C22⋊D5C2211yescharacteristic
16C22×C3×C22⋊D5C2211yescharacteristic
17C2×C3×#709—28no—
18C2×C3×#709C418yescomplemented
19C22×C3×D20C2211yescharacteristic
20C22×C3×C4×D5C2212yes—
21C22×C3×C4×D5C2211yescharacteristic
22C22×C3×C4×D5C2211yescharacteristic
23C22×C3×Dic10C2211yescharacteristic
24C2×C3×C22⋊Dic5C2212yes—
25C3×C4×C22⋊D5—28no—
26C2×C3×#685C2212yes—
27C2×C3×#685C2212yes—
28C2×C3×#685C2212yes—
29C2×C3×#683C2212yes—
30C2×C3×C4×Dic5C2212yes—
31C3×C5×#95C2212yes—
32C3×C5×#95C2211yescharacteristic
33C3×C5×#95C2211yescharacteristic
34C3×#3963C2212yes—
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2211yescharacteristic
38C3×#3963C2211yescharacteristic
39C3×#2339—51nomaximal, Hall
40C22×#709C2×C311yescharacteristic
41C2×C4×C22⋊D5C2×C312yescomplemented
42C2×C5×#95C2×C311yescharacteristic, complemented
43#65502C2×C312yescomplemented
44#65500C2×C311yescharacteristic, complemented
45#64956C2×C311yescharacteristic, complemented
46#64955C2×C311yescharacteristic, complemented
47#64954C2×C312yescomplemented
48#64953C2×C311yescharacteristic, complemented
49D5×#95C2×C311yescharacteristic, complemented
50#64935C2×C312yescomplemented
51C24×C3×C5C2311yescharacteristic
52C23×C3×D5C2311yescharacteristic
53C23×C3×D5C2311yescharacteristic
54C22×C3×C4×C5—24no—
55C22×C3×C4×C5—24no—
56C22×C3×C4×C5—24no—
57C22×C3×C4×C5—42no—
58C22×C3×C4×C5C2×C414yescomplemented
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2312yes—
63C2×C3×C22⋊D5—24no—
64C2×C3×C22⋊D5C2×C414yes—
65C2×C3×C22⋊D5C2×C414yescomplemented
66C2×C3×C22⋊D5D418yes—
67C22×C3×Dic5C2312yes—
68C22×C3×Dic5C2312yes—
69C22×C3×Dic5C2311yescharacteristic
70C22×C3×Dic5C2311yescharacteristic
71C3×#709—232no—
72C2×C3×D20—24no—
73C2×C3×D20C2×C414yescomplemented
74C2×C3×C4×D5—24no—
75C2×C3×C4×D5—24no—
76C2×C3×C4×D5—24no—
77C2×C3×C4×D5—24no—
78C2×C3×C4×D5—42no—
79C2×C3×C4×D5C2×C414yescomplemented
80C2×C3×C4×D5C2×C414yescomplemented
81C2×C3×Dic10—24no—
82C2×C3×Dic10C2×C414yescomplemented
83C3×C22⋊Dic5—24no—
84C3×#685—24no—
85C3×#685—24no—
86C3×#685—42no—
87C3×#683—24no—
88C3×C4×Dic5—24no—
89C22×C3×#41—51no—
90C2×C3×C4×D4—52no—
91C3×#391—52no—
92C3×#386—52no—
93C3×#386—52no—
94C3×#381—51no—
95C3×#381—51no—
96C3×#380—51no—
97C3×C4×C22⋊C4—51no—
98C2×C3×#95—51no—
99C2×C3×#95D511yescharacteristic, complemented
100C23×C4×C5C22×C312yes—
101C23×C4×C5C22×C311yescharacteristic
102C22×C22⋊D5C22×C311yescharacteristic
103C22×C22⋊D5C22×C311yescharacteristic
104C2×#709—28no—
105C2×#709C3×C418yescomplemented
106C22×D20C22×C311yescharacteristic
107C22×C4×D5C22×C312yes—
108C22×C4×D5C22×C311yescharacteristic
109C22×C4×D5C22×C311yescharacteristic
110C22×Dic10C22×C311yescharacteristic
111C2×C22⋊Dic5C22×C312yes—
112C4×C22⋊D5—28no—
113C2×#685C22×C312yes—
114C2×#685C22×C312yes—
115C2×#685C22×C312yes—
116C2×#683C22×C312yes—
117C2×C4×Dic5C22×C312yes—
118C5×#95C22×C312yes—
119C5×#95C22×C311yescharacteristic
120C5×#95C22×C311yescharacteristic
121#3963C22×C312yes—
122#3963C22×C312yes—
123#3963C22×C312yes—
124#3963C22×C311yescharacteristic
125#3963C22×C311yescharacteristic
126#2339—51noSylow
127C23×C3×C5—22no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5C22×C412yes—
131C23×C3×C5C2×D414yes—
132C23×C3×C5C2411yescharacteristic
133C22×C3×D5—22no—
134C22×C3×D5—21no—
135C22×C3×D5—21no—
136C22×C3×D5—22no—
137C22×C3×D5—22no—
138C22×C3×D5—21no—
139C22×C3×D5—21no—
140C22×C3×D5C22×C412yes—
141C22×C3×D5C22×C412yes—
142C22×C3×D5C2×D414yes—
143C2×C3×C4×C5—28no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—48no—
152C2×C3×C4×C5C22×C412yes—
153C2×C3×C4×C5C22×C412yes—
154C2×C3×C4×C5#4114yescomplemented
155C3×C22⋊D5—28no—
156C3×C22⋊D5C22⋊C4116yescomplemented
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—22no—
160C2×C3×Dic5—22no—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—22no—
163C2×C3×Dic5—22no—
164C2×C3×Dic5C22×C412yes—
165C2×C3×Dic5C22×C412yes—
166C2×C3×Dic5C2×D414yes—
167C3×D20—28no—
168C3×C4×D5—28no—
169C3×C4×D5—28no—
170C3×C4×D5—48no—
171C3×Dic10—28no—
172C2×C3×#41—58no—
173C2×C3×#41—108no—
174C22×C3×Q8—51no—
175C22×C3×D4—51no—
176C22×C3×D4—51no—
177C22×C3×D4—51no—
178C23×C3×C4—51no—
179C23×C3×C4—51no—
180C23×C3×C4—52no—
181C23×C3×C4C2×D512yes—
182C23×C3×C4C2×D511yescharacteristic
183C3×C4×D4—108no—
184C2×C3×C4⋊C4—52no—
185C2×C3×C22⋊C4—52no—
186C2×C3×C22⋊C4—52no—
187C2×C3×C22⋊C4—52no—
188C2×C3×C22⋊C4—52no—
189C2×C3×C42—52no—
190C3×#95—51no—
191C3×#95—52no—
192C3×#95—51no—
193C3×#95—52no—
194C3×#95—52no—
195C3×#95C2×D511yescharacteristic
196C3×#95C2×D511yescharacteristic
197C3×#95C2×D512yes—
198C24×C5C23×C311yescharacteristic
199C23×D5C23×C311yescharacteristic
200C23×D5C23×C311yescharacteristic
201C22×C4×C5—24no—
202C22×C4×C5—24no—
203C22×C4×C5—24no—
204C22×C4×C5—42no—
205C22×C4×C5C2×C3×C414yescomplemented
206C22×C4×C5C23×C312yes—
207C22×C4×C5C23×C311yescharacteristic
208C22×C4×C5C23×C311yescharacteristic
209C22×C4×C5C23×C312yes—
210C2×C22⋊D5—24no—
211C2×C22⋊D5C2×C3×C414yes—
212C2×C22⋊D5C2×C3×C414yescomplemented
213C2×C22⋊D5C3×D418yes—
214C22×Dic5C23×C312yes—
215C22×Dic5C23×C312yes—
216C22×Dic5C23×C311yescharacteristic
217C22×Dic5C23×C311yescharacteristic
218#709—232no—
219C2×D20—24no—
220C2×D20C2×C3×C414yescomplemented
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—24no—
224C2×C4×D5—24no—
225C2×C4×D5—42no—
226C2×C4×D5C2×C3×C414yescomplemented
227C2×C4×D5C2×C3×C414yescomplemented
228C2×Dic10—24no—
229C2×Dic10C2×C3×C414yescomplemented
230C22⋊Dic5—24no—
231#685—24no—
232#685—24no—
233#685—42no—
234#683—24no—
235C4×Dic5—24no—
236C22×#41—51no—
237C2×C4×D4—52no—
238#391—52no—
239#386—52no—
240#386—52no—
241#381—51no—
242#381—51no—
243#380—51no—
244C4×C22⋊C4—51no—
245C2×#95—51no—
246C2×#95C3×D511yescharacteristic, complemented
247C22×C3×C5—22no—
248C22×C3×C5—22no—
249C22×C3×C5—24no—
250C22×C3×C5—24no—
251C22×C3×C5C2×C22⋊C414yes—
252C22×C3×C5C23×C411yescharacteristic
253C22×C3×C5C22×D412yes—
254C22×C3×C5C2×#4112yes—
255C22×C3×C5H(5,𝔽2)11yescharacteristic
256C22×C3×C52−1+411yescharacteristic
257C2×C3×D5—22no—
258C2×C3×D5—22no—
259C2×C3×D5—24no—
260C2×C3×D5—24no—
261C2×C3×D5—22no—
262C2×C3×D5—22no—
263C2×C3×D5—22no—
264C2×C3×D5—42no—
265C2×C3×D5—42no—
266C2×C3×D5C2×C22⋊C414yes—
267C3×C4×C5—22no—
268C3×C4×C5—22no—
269C3×C4×C5—24no—
270C3×C4×C5—42no—
271C3×Dic5—22no—
272C3×Dic5—42no—
273C3×Dic5—42no—
274C3×Dic5C2×C22⋊C414yes—
275C24×C3—51no—
276C24×C3—51no—
277C24×C3C22×D511yescharacteristic
278C3×#41—1032no—
279C2×C3×Q8—54no—
280C2×C3×Q8—104no—
281C2×C3×D4—54no—
282C2×C3×D4—58no—
283C2×C3×D4—54no—
284C2×C3×D4—54no—
285C2×C3×D4—104no—
286C2×C3×D4—104no—
287C22×C3×C4—24no—
288C22×C3×C4—24no—
289C22×C3×C4—24no—
290C22×C3×C4—42no—
291C22×C3×C4—51no—
292C22×C3×C4—51no—
293C22×C3×C4—54no—
294C22×C3×C4—54no—
295C22×C3×C4—52no—
296C22×C3×C4—52no—
297C22×C3×C4—104no—
298C22×C3×C4—104no—
299C22×C3×C4—104no—
300C22×C3×C4—104no—
301C22×C3×C4—202no—
302C22×C3×C4C4×D514yescomplemented
303C22×C3×C4C22×D512yes—
304C22×C3×C4C22×D511yescharacteristic
305C22×C3×C4C22×D511yescharacteristic
306C22×C3×C4C22×D512yes—
307C3×C4⋊C4—104no—
308C3×C22⋊C4—104no—
309C3×C22⋊C4—104no—
310C3×C22⋊C4—104no—
311C3×C22⋊C4—202no—
312C3×C42—104no—
313C23×C5—22no—
314C23×C5—21no—
315C23×C5—21no—
316C23×C5C22×C3×C412yes—
317C23×C5C2×C3×D414yes—
318C23×C5C24×C311yescharacteristic
319C22×D5—22no—
320C22×D5—21no—
321C22×D5—21no—
322C22×D5—22no—
323C22×D5—22no—
324C22×D5—21no—
325C22×D5—21no—
326C22×D5C22×C3×C412yes—
327C22×D5C22×C3×C412yes—
328C22×D5C2×C3×D414yes—
329C2×C4×C5—28no—
330C2×C4×C5—22no—
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—48no—
338C2×C4×C5C22×C3×C412yes—
339C2×C4×C5C22×C3×C412yes—
340C2×C4×C5C3×#4114yescomplemented
341C22⋊D5—28no—
342C22⋊D5C3×C22⋊C4116yescomplemented
343C2×Dic5—22no—
344C2×Dic5—22no—
345C2×Dic5—22no—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—22no—
349C2×Dic5—22no—
350C2×Dic5C22×C3×C412yes—
351C2×Dic5C22×C3×C412yes—
352C2×Dic5C2×C3×D414yes—
353D20—28no—
354C4×D5—28no—
355C4×D5—28no—
356C4×D5—48no—
357Dic10—28no—
358C2×#41—58no—
359C2×#41—108no—
360C22×Q8—51no—
361C22×D4—51no—
362C22×D4—51no—
363C22×D4—51no—
364C23×C4—51no—
365C23×C4—51no—
366C23×C4—52no—
367C23×C4C2×C3×D512yes—
368C23×C4C2×C3×D511yescharacteristic
369C4×D4—108no—
370C2×C4⋊C4—52no—
371C2×C22⋊C4—52no—
372C2×C22⋊C4—52no—
373C2×C22⋊C4—52no—
374C2×C22⋊C4—52no—
375C2×C42—52no—
376#95—51no—
377#95—52no—
378#95—51no—
379#95—52no—
380#95—52no—
381#95C2×C3×D511yescharacteristic
382#95C2×C3×D511yescharacteristic
383#95C2×C3×D512yes—
384C2×C3×C5—24no—
385C2×C3×C5C22×C22⋊C411yescharacteristic
386C2×C3×C5C4×#4111yescharacteristic
387C2×C3×C5#52011yescharacteristic
388C2×C3×C5#54612yes—
389C2×C3×C5#54712yes—
390C3×D5—24no—
391C3×D5—42no—
392C23×C3—22no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—52no—
396C23×C3—54no—
397C23×C3—52no—
398C23×C3—102no—
399C23×C3—101no—
400C23×C3—101no—
401C23×C3—102no—
402C23×C3—102no—
403C23×C3—101no—
404C23×C3—101no—
405C23×C3C2×C4×D512yes—
406C23×C3D4×D514yes—
407C23×C3C23×D511yescharacteristic
408C3×Q8—108no—
409C3×D4—516no—
410C3×D4—108no—
411C3×D4—108no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—28no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—48no—
421C2×C3×C4—52no—
422C2×C3×C4—54no—
423C2×C3×C4—52no—
424C2×C3×C4—108no—
425C2×C3×C4—108no—
426C2×C3×C4—102no—
427C2×C3×C4—102no—
428C2×C3×C4—102no—
429C2×C3×C4—102no—
430C2×C3×C4—102no—
431C2×C3×C4—102no—
432C2×C3×C4—102no—
433C2×C3×C4—208no—
434C2×C3×C4C2×C4×D512yes—
435C2×C3×C4C2×C4×D512yes—
436C2×C3×C4#70914yescomplemented
437C22×C5—22no—
438C22×C5—22no—
439C22×C5—24no—
440C22×C5—24no—
441C22×C5C2×C3×C22⋊C414yes—
442C22×C5C23×C3×C411yescharacteristic
443C22×C5C22×C3×D412yes—
444C22×C5C2×C3×#4112yes—
445C22×C5C3×H(5,𝔽2)11yescharacteristic
446C22×C5C3×2−1+411yescharacteristic
447C2×D5—22no—
448C2×D5—22no—
449C2×D5—24no—
450C2×D5—24no—
451C2×D5—22no—
452C2×D5—22no—
453C2×D5—22no—
454C2×D5—42no—
455C2×D5—42no—
456C2×D5C2×C3×C22⋊C414yes—
457C4×C5—22no—
458C4×C5—22no—
459C4×C5—24no—
460C4×C5—42no—
461Dic5—22no—
462Dic5—42no—
463Dic5—42no—
464Dic5C2×C3×C22⋊C414yes—
465C24—51no—
466C24—51no—
467C24C22×C3×D511yescharacteristic
468#41—1032no—
469C2×Q8—54no—
470C2×Q8—104no—
471C2×D4—54no—
472C2×D4—58no—
473C2×D4—54no—
474C2×D4—54no—
475C2×D4—104no—
476C2×D4—104no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—42no—
481C22×C4—51no—
482C22×C4—51no—
483C22×C4—54no—
484C22×C4—54no—
485C22×C4—52no—
486C22×C4—52no—
487C22×C4—104no—
488C22×C4—104no—
489C22×C4—104no—
490C22×C4—104no—
491C22×C4—202no—
492C22×C4C3×C4×D514yescomplemented
493C22×C4C22×C3×D512yes—
494C22×C4C22×C3×D511yescharacteristic
495C22×C4C22×C3×D511yescharacteristic
496C22×C4C22×C3×D512yes—
497C4⋊C4—104no—
498C22⋊C4—104no—
499C22⋊C4—104no—
500C22⋊C4—104no—
501C22⋊C4—202no—
502C42—104no—
503C3×C5#233911yescharacteristic, complemented, Hall
504C22×C3—22no—
505C22×C3—24no—
506C22×C3—22no—
507C22×C3—24no—
508C22×C3—54no—
509C22×C3—102no—
510C22×C3—104no—
511C22×C3—102no—
512C22×C3—104no—
513C22×C3—102no—
514C22×C3—102no—
515C22×C3—102no—
516C22×C3—202no—
517C22×C3—202no—
518C22×C3D5×C22⋊C414yes—
519C22×C3C22×C4×D511yescharacteristic
520C22×C3C2×#70912yes—
521C22×C3C2×D4×D512yes—
522C22×C3#414411yescharacteristic
523C22×C3#414711yescharacteristic
524C3×C4—22no—
525C3×C4—22no—
526C3×C4—24no—
527C3×C4—42no—
528C3×C4—54no—
529C3×C4—102no—
530C3×C4—202no—
531C3×C4—202no—
532C2×C5—24no—
533C2×C5C22×C3×C22⋊C411yescharacteristic
534C2×C5C3×C4×#4111yescharacteristic
535C2×C5C3×#52011yescharacteristic
536C2×C5C3×#54612yes—
537C2×C5C3×#54712yes—
538D5—24no—
539D5—42no—
540C23—22no—
541C23—21no—
542C23—21no—
543C23—52no—
544C23—54no—
545C23—52no—
546C23—102no—
547C23—101no—
548C23—101no—
549C23—102no—
550C23—102no—
551C23—101no—
552C23—101no—
553C23C2×C3×C4×D512yes—
554C23C3×D4×D514yes—
555C23C23×C3×D511yescharacteristic
556Q8—108no—
557D4—516no—
558D4—108no—
559D4—108no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—28no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—48no—
569C2×C4—52no—
570C2×C4—54no—
571C2×C4—52no—
572C2×C4—108no—
573C2×C4—108no—
574C2×C4—102no—
575C2×C4—102no—
576C2×C4—102no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—102no—
581C2×C4—208no—
582C2×C4C2×C3×C4×D512yes—
583C2×C4C2×C3×C4×D512yes—
584C2×C4C3×#70914yescomplemented
585C2×C3—24no—
586C2×C3—104no—
587C2×C3—202no—
588C2×C3C4×#70911yescharacteristic
589C2×C3C2×D5×C22⋊C411yescharacteristic
590C2×C3#6582412yes—
591C2×C3#6583811yescharacteristic
592C2×C3#6584112yes—
593C5C3×#233911yescharacteristic, complemented, Sylow
594C22—22no—
595C22—24no—
596C22—22no—
597C22—24no—
598C22—54no—
599C22—102no—
600C22—104no—
601C22—102no—
602C22—104no—
603C22—102no—
604C22—102no—
605C22—102no—
606C22—202no—
607C22—202no—
608C22C3×D5×C22⋊C414yes—
609C22C22×C3×C4×D511yescharacteristic
610C22C2×C3×#70912yes—
611C22C2×C3×D4×D512yes—
612C22C3×#414411yescharacteristic
613C22C3×#414711yescharacteristic
614C4—22no—
615C4—22no—
616C4—24no—
617C4—42no—
618C4—54no—
619C4—102no—
620C4—202no—
621C4—202no—
622C3#1060509911yescharacteristic, direct product factor, Sylow
623C2—24no—
624C2—104no—
625C2—202no—
626C2C3×C4×#70911yescharacteristic
627C2C2×C3×D5×C22⋊C411yescharacteristic
628C2C3×#6582412yes—
629C2C3×#6583811yescharacteristic
630C2C3×#6584112yes—
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC2×C3×C5×#95C2
socleC23×C3×C5C24
prime radicalC22×C3×#709C2
cosocleC23×C5C24×C3
hypercenterC2×C3×#95D5
hypocenterC5C3×#2339
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×#95

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×C22⋊D5C2semidirect
3. C2×C3×C5×#95C2semidirect
4. C3×#65502C2semidirect
5. C3×#65500C2semidirect
6. C3×#64956C2semidirect
7. C3×#64955C2semidirect
8. C3×#64954C2semidirect
9. C3×#64953C2semidirect
10. C3×D5×#95C2semidirect
11. C3×#64935C2semidirect
12. #10605099C3direct (N × H)
18. C2×C3×#709C4semidirect
41. C2×C4×C22⋊D5C2×C3semidirect
42. C2×C5×#95C2×C3semidirect
43. #65502C2×C3semidirect
44. #65500C2×C3semidirect
45. #64956C2×C3semidirect
46. #64955C2×C3semidirect
47. #64954C2×C3semidirect
48. #64953C2×C3semidirect
49. D5×#95C2×C3semidirect
50. #64935C2×C3semidirect
58. C22×C3×C4×C5C2×C4semidirect
65. C2×C3×C22⋊D5C2×C4semidirect
73. C2×C3×D20C2×C4semidirect
79. C2×C3×C4×D5C2×C4semidirect
80. C2×C3×C4×D5C2×C4semidirect
82. C2×C3×Dic10C2×C4semidirect
99. C2×C3×#95D5semidirect
105. C2×#709C3×C4semidirect
154. C2×C3×C4×C5#41semidirect
156. C3×C22⋊D5C22⋊C4semidirect
205. C22×C4×C5C2×C3×C4semidirect
212. C2×C22⋊D5C2×C3×C4semidirect
220. C2×D20C2×C3×C4semidirect
226. C2×C4×D5C2×C3×C4semidirect
227. C2×C4×D5C2×C3×C4semidirect
229. C2×Dic10C2×C3×C4semidirect
246. C2×#95C3×D5semidirect
302. C22×C3×C4C4×D5semidirect
340. C2×C4×C5C3×#41semidirect
342. C22⋊D5C3×C22⋊C4semidirect
436. C2×C3×C4#709semidirect
492. C22×C4C3×C4×D5semidirect
503. C3×C5#2339semidirect
584. C2×C4C3×#709semidirect
593. C5C3×#2339semidirect
622. C3#10605099direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7092
C2×C3×C4×C22⋊D52
C2×C3×C5×#952
C3×#655022
C3×#655002
C3×#649562
C3×#649552
C3×#649542
C3×#649532
C3×D5×#952
C3×#649352
#106050993
C3×#23395