Finite Group Databasebeta

← #14327413

Subgroups — #14327413

Order 1920.

1320 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊Dic15C211yesmaximal, characteristic, complemented
2C2×C4×C5×#67C211yesmaximal, characteristic
3C2×#91338C211yesmaximal, characteristic, complemented
4C3×#65501C211yesmaximal, characteristic, complemented
5#11749501C212yesmaximal
6#11749487C212yesmaximal, complemented
7#11748786C211yesmaximal, characteristic, complemented
8Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
9#11748686C212yesmaximal, complemented
10#11748684C212yesmaximal, complemented
11#11748619C211yesmaximal, characteristic, complemented
12#10614066—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C23×Dic15C2212yes—
15C22×C5×#67C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C2×C4⋊Dic15—24no—
18C2×C4⋊Dic15C2211yescharacteristic
19C2×C4⋊Dic15C2212yes—
20C2×C4⋊Dic15C2211yescharacteristic
21C2×C5×#217C2211yescharacteristic
22C4×C5×#67C418yescomplemented
23C2×C5×(C2×D3)⋊C4C2211yescharacteristic
24C2×C5×Dic3⋊C4C2211yescharacteristic
25C2×C4×C5×Dic3C2211yescharacteristic
26C2×C3×C22⋊Dic5C2212yes—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C2×(C2×D3)⋊Dic5C2212yes—
30C2×(C2×D3)⋊Dic5C2212yes—
31C2×Dic3×Dic5C2212yes—
32C2×Dic3×Dic5C2212yes—
33#91338—24no—
34C3×#3963C2212yes—
35#90994C2212yes—
36#90994C2212yes—
37#90994C2212yes—
38#90994C2212yes—
39#73883—51nomaximal, Hall
40C2×C4×C5×D4—31no—
41C2×#4072—31no—
42C22×C4⋊Dic5—31no—
43#65509—32no—
44#65501—31no—
45#65501D311yescharacteristic, complemented
46#65270—32no—
47#65240—32no—
48C22⋊C4×Dic5—32no—
49#65225—31no—
50C4×C4⋊Dic5—31no—
51C24×C3×C5C2311yescharacteristic
52C23×C5×D3C2311yescharacteristic
53C22×C3×C4×C5—22no—
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5C2×C414yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15—24no—
59C22×Dic15—24no—
60C22×Dic15—42no—
61C22×Dic15C2312yes—
62C22×Dic15C2312yes—
63C2×C5×#67—22no—
64C2×C5×#67—22no—
65C2×C5×#67C2×C414yes—
66C22×C5×Dic3C2311yescharacteristic
67C22×C5×Dic3C2311yescharacteristic
68C22×C5×Dic3C2311yescharacteristic
69C2×C4×C5×D3—22no—
70C2×C4×C5×D3—22no—
71C2×C4×C5×D3C2×C414yescomplemented
72C22×C3×Dic5C2312yes—
73C22×C3×Dic5C2312yes—
74C4⋊Dic15—22no—
75C4⋊Dic15—24no—
76C4⋊Dic15D414yescomplemented
77C5×#217C2×C414yes—
78C5×(C2×D3)⋊C4C2×C414yescomplemented
79C5×Dic3⋊C4C2×C414yescomplemented
80C4×C5×Dic3C2×C414yescomplemented
81C3×C22⋊Dic5—24no—
82C3×C4⋊Dic5—22no—
83C3×C4⋊Dic5—22no—
84(C2×D3)⋊Dic5—24no—
85(C2×D3)⋊Dic5—42no—
86Dic3×Dic5—24no—
87Dic3×Dic5—42no—
88C2×C4×#67D511yescharacteristic
89C22×C4⋊Dic3—51no—
90C2×#892—51no—
91C3×#380—51no—
92#4987—51no—
93#4977—51no—
94Dic3×C4⋊C4—51no—
95#4958—52no—
96Dic3×C22⋊C4—52no—
97#4670—52no—
98#4655—52no—
99C22×C5×D4—31no—
100C23×C4×C5—31no—
101C23×C4×C5C2×D311yescharacteristic
102C23×Dic5—32no—
103C4×C5×D4—38no—
104C2×C5×C4⋊C4—31no—
105C2×C5×C22⋊C4—31no—
106C2×C5×C22⋊C4—31no—
107C2×C42×C5—31no—
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5C2×D312yes—
111#4072—64no—
112C2×C4⋊Dic5—31no—
113C2×C4⋊Dic5—31no—
114C2×C4⋊Dic5—32no—
115C2×C4⋊Dic5—64no—
116C2×C4⋊Dic5C2×D311yescharacteristic
117C2×C4⋊Dic5C2×D311yescharacteristic
118C2×C4×Dic5—32no—
119C2×C4×Dic5—32no—
120#3963—32no—
121#3963—32no—
122#3963—32no—
123#3963—32no—
124#3963C2×D312yes—
125#2352—151noSylow
126C23×C3×C5—21no—
127C23×C3×C5—21no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5C22×C412yes—
131C23×C3×C5#4112yes—
132C23×C3×C5#4112yes—
133C23×C3×C5C2411yescharacteristic
134C22×C5×D3—21no—
135C22×C5×D3—21no—
136C22×C5×D3—21no—
137C22×C5×D3—21no—
138C22×C5×D3—21no—
139C22×C5×D3—21no—
140C22×C5×D3C22×C412yes—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—28no—
144C2×C3×C4×C5C22×C412yes—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C2×D412yes—
147C2×C3×C4×C5#4112yes—
148C2×Dic15—22no—
149C2×Dic15—22no—
150C2×Dic15—22no—
151C2×Dic15—22no—
152C2×Dic15—22no—
153C2×Dic15—48no—
154C2×Dic15C2×D414yes—
155C5×#67—28no—
156C2×C5×Dic3—21no—
157C2×C5×Dic3—21no—
158C2×C5×Dic3—21no—
159C2×C5×Dic3—21no—
160C2×C5×Dic3—21no—
161C2×C5×Dic3—21no—
162C2×C5×Dic3C22×C412yes—
163C2×C5×Dic3C22×C412yes—
164C2×C5×Dic3C22×C412yes—
165C4×C5×D3—28no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—22no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5—22no—
172C23×C3×C4C2×D511yescharacteristic
173C22×#67C2×D511yescharacteristic
174C23×Dic3—52no—
175C22×C4×D3C2×D511yescharacteristic
176C2×C3×C4⋊C4—51no—
177C2×C3×C4⋊C4—51no—
178C2×C3×C22⋊C4—52no—
179C2×#217C2×D511yescharacteristic
180C4×#67Dic518yescomplemented
181C2×(C2×D3)⋊C4—52no—
182C2×(C2×D3)⋊C4—52no—
183C2×(C2×D3)⋊C4C2×D511yescharacteristic
184C2×C4⋊Dic3—51no—
185C2×C4⋊Dic3—52no—
186C2×C4⋊Dic3—51no—
187C2×C4⋊Dic3—104no—
188C2×Dic3⋊C4C2×D511yescharacteristic
189C2×C4×Dic3—52no—
190C2×C4×Dic3—52no—
191C2×C4×Dic3C2×D511yescharacteristic
192#892—104no—
193C3×#95—52no—
194C3⋊#95—52no—
195C3⋊#95—52no—
196C3⋊#95—52no—
197C3⋊#95—52no—
198C24×C5—31no—
199C24×C5C22×D311yescharacteristic
200C2×C5×D4—34no—
201C2×C5×D4—62no—
202C2×C5×D4—62no—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5—31no—
206C22×C4×C5—31no—
207C22×C4×C5—31no—
208C22×C4×C5—34no—
209C22×C4×C5—62no—
210C22×C4×C5—62no—
211C22×C4×C5C4×D314yes—
212C22×C4×C5C22×D311yescharacteristic
213C22×C4×C5C22×D311yescharacteristic
214C22×Dic5—32no—
215C22×Dic5—32no—
216C22×Dic5—64no—
217C22×Dic5—64no—
218C22×Dic5—122no—
219C22×Dic5C22×D312yes—
220C22×Dic5C22×D312yes—
221C5×C4⋊C4—34no—
222C5×C22⋊C4—34no—
223C5×C22⋊C4—34no—
224C42×C5—34no—
225C22⋊Dic5—24no—
226C22⋊Dic5—64no—
227C22⋊Dic5—122no—
228C4⋊Dic5—22no—
229C4⋊Dic5—22no—
230C4⋊Dic5—34no—
231C4⋊Dic5—64no—
232C4⋊Dic5—62no—
233C4×Dic5—64no—
234C4×Dic5—122no—
235C2×C4×D4—31no—
236C2×#117—151no—
237C22×C4⋊C4—151no—
238#388—152no—
239#387—152no—
240#386—152no—
241#382—151no—
242#380—51no—
243#380—151no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C22×C3×C5—22no—
247C22×C3×C5—22no—
248C22×C3×C5—22no—
249C22×C3×C5—22no—
250C22×C3×C5—22no—
251C22×C3×C5—22no—
252C22×C3×C5#11714yescomplemented
253C22×C3×C5C23×C411yescharacteristic
254C22×C3×C5C22×D411yescharacteristic
255C22×C3×C5C2×#4111yescharacteristic
256C22×C3×C5C2×#4111yescharacteristic
257C22×C3×C5C2×#4111yescharacteristic
258C22×C3×C5H(5,𝔽2)11yescharacteristic
259C22×C3×C52−1+411yescharacteristic
260C2×C5×D3—22no—
261C2×C5×D3—22no—
262C2×C5×D3—22no—
263C2×C5×D3—41no—
264C2×C5×D3—41no—
265C2×C5×D3—41no—
266C2×C5×D3—41no—
267C3×C4×C5—22no—
268C3×C4×C5C4×D414yes—
269Dic15—24no—
270Dic15—42no—
271C3×Dic5—42no—
272C3×Dic5—42no—
273C5×Dic3—22no—
274C5×Dic3—22no—
275C5×Dic3—22no—
276C24×C3C22×D511yescharacteristic
277C23×D3C22×D511yescharacteristic
278C22×C3×C4—22no—
279C22×C3×C4—22no—
280C22×C3×C4—52no—
281C22×C3×C4—52no—
282C22×C3×C4C2×Dic514yes—
283C22×C3×C4C22×D511yescharacteristic
284C22×C3×C4C22×D511yescharacteristic
285C2×#67—22no—
286C2×#67—22no—
287C2×#67C2×Dic514yes—
288C22×Dic3—52no—
289C22×Dic3—52no—
290C22×Dic3—104no—
291C22×Dic3—104no—
292C22×Dic3—202no—
293C22×Dic3C22×D511yescharacteristic
294C22×Dic3C22×D511yescharacteristic
295C22×Dic3C22×D511yescharacteristic
296C2×C4×D3—22no—
297C2×C4×D3—22no—
298C2×C4×D3C2×Dic514yescomplemented
299C3×C4⋊C4—102no—
300C3×C4⋊C4—102no—
301C3×C22⋊C4—104no—
302#217C2×Dic514yes—
303(C2×D3)⋊C4—104no—
304(C2×D3)⋊C4—202no—
305(C2×D3)⋊C4C2×Dic514yescomplemented
306C4⋊Dic3—54no—
307C4⋊Dic3—104no—
308C4⋊Dic3—102no—
309Dic3⋊C4C2×Dic514yescomplemented
310C4×Dic3—104no—
311C4×Dic3—202no—
312C4×Dic3C2×Dic514yescomplemented
313C23×C5—21no—
314C23×C5—21no—
315C23×C5—21no—
316C23×C5—21no—
317C23×C5—32no—
318C23×C5—61no—
319C23×C5—61no—
320C23×C5—61no—
321C23×C5—61no—
322C23×C5—61no—
323C23×C5—61no—
324C23×C5C2×C4×D312yes—
325C23×C5#23712yes—
326C23×C5#23912yes—
327C23×C5C23×D311yescharacteristic
328C5×D4—68no—
329C2×C4×C5—21no—
330C2×C4×C5—21no—
331C2×C4×C5—28no—
332C2×C4×C5—32no—
333C2×C4×C5—32no—
334C2×C4×C5—32no—
335C2×C4×C5—61no—
336C2×C4×C5—61no—
337C2×C4×C5—61no—
338C2×C4×C5—61no—
339C2×C4×C5—61no—
340C2×C4×C5—61no—
341C2×C4×C5—68no—
342C2×C4×C5C2×C4×D312yes—
343C2×C4×C5C2×C4×D312yes—
344C2×C4×C5D3×D412yes—
345C2×C4×C5#23712yes—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—22no—
349C2×Dic5—22no—
350C2×Dic5—22no—
351C2×Dic5—22no—
352C2×Dic5—34no—
353C2×Dic5—62no—
354C2×Dic5—62no—
355C2×Dic5—62no—
356C2×Dic5—62no—
357C2×Dic5—62no—
358C2×Dic5—128no—
359C22×D4—31no—
360C23×C4—31no—
361C23×C4—152no—
362C23×C4D3×D511yescharacteristic
363C4×D4—38no—
364#117—304no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—51no—
367C2×C4⋊C4—51no—
368C2×C4⋊C4—151no—
369C2×C4⋊C4—151no—
370C2×C4⋊C4—152no—
371C2×C4⋊C4—304no—
372C2×C22⋊C4—31no—
373C2×C22⋊C4—31no—
374C2×C22⋊C4—52no—
375C2×C22⋊C4—152no—
376C2×C22⋊C4—152no—
377C2×C42—31no—
378C2×C42—152no—
379C2×C42—152no—
380#95—52no—
381#95—152no—
382#95—152no—
383#95—152no—
384#95—152no—
385C2×C3×C5—24no—
386C2×C3×C5C2×#11711yescharacteristic
387C2×C3×C5C2×C4×D411yescharacteristic
388C2×C3×C5#52011yescharacteristic
389C2×C3×C5#54611yescharacteristic
390C2×C3×C5#54811yescharacteristic
391C2×C3×C5#55211yescharacteristic
392C2×C3×C5#55311yescharacteristic
393C5×D3—42no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3#70912yes—
399C23×C3#70912yes—
400C23×C3C22×Dic512yes—
401C23×C3C23×D511yescharacteristic
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—21no—
408C22×D3C22×Dic512yes—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—28no—
412C2×C3×C4—102no—
413C2×C3×C4—102no—
414C2×C3×C4—102no—
415C2×C3×C4—102no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4D4×D512yes—
419C2×C3×C4#71112yes—
420C2×C3×C4C22×Dic512yes—
421C2×C3×C4C22×Dic512yes—
422#67—28no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—54no—
430C2×Dic3—102no—
431C2×Dic3—102no—
432C2×Dic3—102no—
433C2×Dic3—102no—
434C2×Dic3—102no—
435C2×Dic3—208no—
436C2×Dic3C22×Dic512yes—
437C2×Dic3C22×Dic512yes—
438C2×Dic3C22×Dic512yes—
439C4×D3—28no—
440C22×C5—22no—
441C22×C5—22no—
442C22×C5—22no—
443C22×C5—22no—
444C22×C5—22no—
445C22×C5—22no—
446C22×C5—62no—
447C22×C5—62no—
448C22×C5—62no—
449C22×C5—121no—
450C22×C5—121no—
451C22×C5—121no—
452C22×C5—121no—
453C22×C5#89214yescomplemented
454C22×C5C22×C4×D311yescharacteristic
455C22×C5C2×D3×D411yescharacteristic
456C22×C5C2×#23711yescharacteristic
457C22×C5C2×#23711yescharacteristic
458C22×C5C2×#23911yescharacteristic
459C22×C5#100911yescharacteristic
460C22×C5#101011yescharacteristic
461C4×C5—22no—
462C4×C5—62no—
463C4×C5—62no—
464C4×C5—62no—
465C4×C5#67⋊C414yes—
466Dic5—42no—
467Dic5—42no—
468Dic5—64no—
469Dic5—122no—
470C24—31no—
471C24C2×D3×D511yescharacteristic
472C2×D4—34no—
473C2×D4—62no—
474C2×D4—62no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—31no—
478C22×C4—31no—
479C22×C4—31no—
480C22×C4—34no—
481C22×C4—52no—
482C22×C4—52no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—152no—
486C22×C4—152no—
487C22×C4—304no—
488C22×C4—304no—
489C22×C4—602no—
490C22×C4D3×Dic514yes—
491C22×C4C2×D3×D511yescharacteristic
492C22×C4C2×D3×D511yescharacteristic
493C4⋊C4—34no—
494C4⋊C4—102no—
495C4⋊C4—102no—
496C4⋊C4—154no—
497C4⋊C4—304no—
498C4⋊C4—302no—
499C22⋊C4—34no—
500C22⋊C4—34no—
501C22⋊C4—104no—
502C22⋊C4—304no—
503C22⋊C4—602no—
504C42—34no—
505C42—304no—
506C42—602no—
507C3×C5#235211yescharacteristic, complemented, Hall
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—22no—
512C22×C3—22no—
513C22×C3—22no—
514C22×C3#407214yescomplemented
515C22×C3C2×#70911yescharacteristic
516C22×C3C2×#70911yescharacteristic
517C22×C3C2×D4×D511yescharacteristic
518C22×C3C2×#71111yescharacteristic
519C22×C3#414911yescharacteristic
520C22×C3#415011yescharacteristic
521C22×C3C23×Dic511yescharacteristic
522C2×D3—22no—
523C2×D3—22no—
524C2×D3—22no—
525C2×D3—41no—
526C2×D3—41no—
527C2×D3—41no—
528C2×D3—41no—
529C3×C4—22no—
530C3×C4—202no—
531C3×C4—202no—
532C3×C4D4×Dic514yes—
533Dic3—22no—
534Dic3—22no—
535Dic3—22no—
536Dic3—104no—
537Dic3—202no—
538C2×C5—24no—
539C2×C5—122no—
540C2×C5C2×#67⋊C411yescharacteristic
541C2×C5C2×#89211yescharacteristic
542C2×C5#552311yescharacteristic
543C2×C5#559811yescharacteristic
544C2×C5#561811yescharacteristic
545C2×C5#563011yescharacteristic
546C2×C5#564211yescharacteristic
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—32no—
552C23—61no—
553C23—61no—
554C23—61no—
555C23—61no—
556C23—61no—
557C23—61no—
558C23#676512yes—
559C23#676912yes—
560C23C2×D3×Dic512yes—
561C23C22×D3×D511yescharacteristic
562D4—68no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—28no—
566C2×C4—32no—
567C2×C4—32no—
568C2×C4—32no—
569C2×C4—61no—
570C2×C4—61no—
571C2×C4—61no—
572C2×C4—61no—
573C2×C4—61no—
574C2×C4—61no—
575C2×C4—68no—
576C2×C4—102no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—102no—
581C2×C4—102no—
582C2×C4—154no—
583C2×C4—302no—
584C2×C4—302no—
585C2×C4—302no—
586C2×C4—302no—
587C2×C4—302no—
588C2×C4—608no—
589C2×C4#678012yes—
590C2×C4C2×D3×Dic512yes—
591C2×C4C2×D3×Dic512yes—
592C2×C4#679012yes—
593C2×C3—24no—
594C2×C3#6587511yescharacteristic
595C2×C3#6588411yescharacteristic
596C2×C3#6588611yescharacteristic
597C2×C3#6589911yescharacteristic
598C2×C3C2×#407211yescharacteristic
599C2×C3C2×D4×Dic511yescharacteristic
600C2×C3#6616111yescharacteristic
601D3—42no—
602C5#7388311yescharacteristic, complemented, Sylow
603C22—22no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—22no—
609C22—62no—
610C22—62no—
611C22—62no—
612C22—121no—
613C22—121no—
614C22—121no—
615C22—121no—
616C22#9133814yescomplemented
617C22C2×#676511yescharacteristic
618C22#9200111yescharacteristic
619C22C2×#676911yescharacteristic
620C22#9201911yescharacteristic
621C22C2×#678011yescharacteristic
622C22C22×D3×Dic511yescharacteristic
623C22C2×#679011yescharacteristic
624C4—22no—
625C4—62no—
626C4—62no—
627C4—62no—
628C4—202no—
629C4—202no—
630C4—304no—
631C4—602no—
632C4#67⋊Dic514yes—
633C3#1061406611yescharacteristic, complemented, Sylow
634C2—24no—
635C2—122no—
636C2C2×#9133811yescharacteristic
637C2#1175420411yescharacteristic
638C2#1175436911yescharacteristic
639C2#1175438211yescharacteristic
640C2#1175451211yescharacteristic
641C2#1175451311yescharacteristic
642C2C2×#67⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×#67C22
hypercenterC23×C4D3×D5
hypocenterC3×C5#2352
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊Dic15C2semidirect
3. C2×#91338C2semidirect
4. C3×#65501C2semidirect
6. #11749487C2semidirect
7. #11748786C2semidirect
8. Dic3×C4⋊Dic5C2semidirect
9. #11748686C2semidirect
10. #11748684C2semidirect
11. #11748619C2semidirect
22. C4×C5×#67C4semidirect
45. #65501D3semidirect
71. C2×C4×C5×D3C2×C4semidirect
76. C4⋊Dic15D4semidirect
78. C5×(C2×D3)⋊C4C2×C4semidirect
79. C5×Dic3⋊C4C2×C4semidirect
80. C4×C5×Dic3C2×C4semidirect
180. C4×#67Dic5semidirect
252. C22×C3×C5#117semidirect
298. C2×C4×D3C2×Dic5semidirect
305. (C2×D3)⋊C4C2×Dic5semidirect
309. Dic3⋊C4C2×Dic5semidirect
312. C4×Dic3C2×Dic5semidirect
453. C22×C5#892semidirect
507. C3×C5#2352semidirect
514. C22×C3#4072semidirect
602. C5#73883semidirect
616. C22#91338semidirect
633. C3#10614066semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊Dic152
C2×C4×C5×#672
C2×#913382
C3×#655012
#117495012
#117494872
#117487862
Dic3×C4⋊Dic52
#117486862
#117486842
#117486192
#106140663
#738835