Finite Group Databasebeta

← #14321186

Subgroups — #14321186

Order 1920.

1872 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#711C211yesmaximal, characteristic
2C2×#91528C211yesmaximal, characteristic, complemented
3C22×Dic3×Dic5C211yesmaximal, characteristic, complemented
4#11751321C211yesmaximal, characteristic, complemented
5C5×#5220C211yesmaximal, characteristic, complemented
6#11749500C211yesmaximal, characteristic, complemented
7#11749495C211yesmaximal, characteristic, complemented
8#11749489C212yesmaximal, complemented
9Dic5×#217C212yesmaximal, complemented
10#11748702C212yesmaximal, complemented
11#11748672C212yesmaximal, complemented
12#10606389—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2211yescharacteristic
15C23×C5×Dic3C2211yescharacteristic
16C22×C3×C22⋊D5C2211yescharacteristic
17C22×C3×C22⋊D5C2211yescharacteristic
18C23×C3×Dic5C2211yescharacteristic
19C23×C3×Dic5C2211yescharacteristic
20C2×C3×#711—24no—
21C2×C3×#711—24no—
22C2×C3×#711C418yescomplemented
23C22×C3×C4×D5C2211yescharacteristic
24C22×C3×Dic10C2211yescharacteristic
25C2×#6719C2211yescharacteristic
26C2×#6719C2212yes—
27C2×C5×#217C2211yescharacteristic
28C2×C5×#217C2212yes—
29C2×#6668C2212yes—
30C2×#6665C2212yes—
31C2×#6665C2212yes—
32#91528—24no—
33C2×Dic3×Dic5—24no—
34C2×Dic3×Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36C2×Dic3×Dic5C2212yes—
37#91115C2212yes—
38C5×C3⋊#95C2212yes—
39#90994C2212yes—
40#90994C2212yes—
41#84086—51nomaximal, Hall
42C22×#711D311yescharacteristic
43C22×C4×Dic5—31no—
44C2×#4023—31no—
45C5×#386—31no—
46#65509—31no—
47#65502—31no—
48#65247—31no—
49#65246—32no—
50C22⋊C4×Dic5—32no—
51#64955—32no—
52#64935—32no—
53C24×C3×C5C2311yescharacteristic
54C24×C3×C5C2311yescharacteristic
55C23×C3×D5C2311yescharacteristic
56C2×C3×C5×D4—22no—
57C2×C3×C5×D4—22no—
58C2×C3×C5×D4C2×C414yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×Dic15—22no—
61C22×Dic15—24no—
62C22×Dic15C2312yes—
63C22×Dic15C2312yes—
64C22×C5×Dic3—22no—
65C22×C5×Dic3—24no—
66C22×C5×Dic3C2312yes—
67C22×C5×Dic3C2312yes—
68C2×C3×C22⋊D5—22no—
69C2×C3×C22⋊D5—22no—
70C2×C3×C22⋊D5—22no—
71C2×C3×C22⋊D5—22no—
72C2×C3×C22⋊D5C2×C414yes—
73C2×C3×C22⋊D5C2×C414yescomplemented
74C22×C3×Dic5—22no—
75C22×C3×Dic5—22no—
76C22×C3×Dic5C2×C414yes—
77C22×C3×Dic5C2×C414yescomplemented
78C22×C3×Dic5D414yes—
79C22×C3×Dic5D414yes—
80C22×C3×Dic5C2311yescharacteristic
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2311yescharacteristic
83C3×#711—232no—
84C2×C3×C4×D5—22no—
85C2×C3×C4×D5—22no—
86C2×C3×C4×D5C2×C414yescomplemented
87C2×C3×Dic10—22no—
88C2×C3×Dic10—22no—
89C2×C3×Dic10C2×C414yescomplemented
90#6719—22no—
91#6719—24no—
92C5×#217—22no—
93C5×#217—24no—
94#6668—24no—
95#6665—24no—
96#6665—24no—
97Dic3×Dic5—24no—
98Dic3×Dic5—24no—
99Dic3×Dic5—24no—
100C22×C3×#41—51no—
101C2×#926—51no—
102C22×C4×Dic3—51no—
103#5229—52no—
104#5221—52no—
105#5220—51no—
106#5220—51no—
107#5220—51no—
108#5220D511yescharacteristic, complemented
109C4×#217—52no—
110C4×#217—52no—
111C22×C5×D4C2×D311yescharacteristic
112C23×C4×C5—31no—
113C22×C22⋊D5C2×D311yescharacteristic
114C22×C22⋊D5C2×D311yescharacteristic
115C23×Dic5—31no—
116C23×Dic5C2×D311yescharacteristic
117C23×Dic5C2×D311yescharacteristic
118C2×#711—24no—
119C2×#711—24no—
120C2×#711Dic318yescomplemented
121C22×C4×D5C2×D311yescharacteristic
122C22×Dic10C2×D311yescharacteristic
123C2×C5×C22⋊C4—31no—
124C2×C5×C22⋊C4—32no—
125C2×C22⋊Dic5—31no—
126C2×C22⋊Dic5—32no—
127C2×#685—32no—
128C2×#685—32no—
129C2×#683—32no—
130C2×C4×Dic5—32no—
131C2×C4×Dic5—32no—
132C2×C4×Dic5—32no—
133C2×C4×Dic5—64no—
134#4023—64no—
135C5×#95—32no—
136#3963—32no—
137#3963—32no—
138#3963—32no—
139#2297—151noSylow
140C23×C3×C5—22no—
141C23×C3×C5—22no—
142C23×C3×C5—21no—
143C23×C3×C5—21no—
144C23×C3×C5—22no—
145C23×C3×C5—22no—
146C23×C3×C5C22×C412yes—
147C23×C3×C5C22×C412yes—
148C23×C3×C5C2×D412yes—
149C23×C3×C5C2×D412yes—
150C23×C3×C5C2411yescharacteristic
151C22×C3×D5—21no—
152C22×C3×D5—21no—
153C22×C3×D5—22no—
154C22×C3×D5—22no—
155C22×C3×D5C22×C412yes—
156C3×C5×D4—28no—
157C2×C3×C4×C5—21no—
158C2×C3×C4×C5—21no—
159C2×C3×C4×C5C22×C412yes—
160C2×Dic15—28no—
161C2×Dic15—22no—
162C2×Dic15—22no—
163C2×Dic15—22no—
164C2×Dic15—22no—
165C2×Dic15—22no—
166C2×Dic15#4114yescomplemented
167C2×C5×Dic3—28no—
168C2×C5×Dic3—22no—
169C2×C5×Dic3—22no—
170C2×C5×Dic3—22no—
171C2×C5×Dic3—22no—
172C2×C5×Dic3—22no—
173C2×C5×Dic3#4114yescomplemented
174C3×C22⋊D5—28no—
175C3×C22⋊D5—28no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—21no—
178C2×C3×Dic5—28no—
179C2×C3×Dic5C22⋊C4116yescomplemented
180C2×C3×Dic5C22×C412yes—
181C2×C3×Dic5C22×C412yes—
182C2×C3×Dic5C22×C412yes—
183C2×C3×Dic5C2×D412yes—
184C2×C3×Dic5C2×D412yes—
185C2×C3×Dic5C2×D412yes—
186C2×C3×Dic5C2×D412yes—
187C3×C4×D5—28no—
188C3×Dic10—28no—
189C2×C3×#41—58no—
190C2×C3×#41—104no—
191C2×C3×#41—104no—
192C22×C3×Q8—51no—
193C22×C3×D4—51no—
194C22×C3×D4—51no—
195C22×C3×D4C2×D511yescharacteristic
196C23×C3×C4—51no—
197C23×C3×C4—51no—
198C23×C3×C4—51no—
199C23×Dic3—51no—
200C23×Dic3C2×D511yescharacteristic
201C2×#217—52no—
202C2×#217—51no—
203C2×#217—52no—
204C2×#217—52no—
205C2×#217C2×D512yes—
206C2×#217C2×D511yescharacteristic
207#926—104no—
208C2×C4⋊Dic3—52no—
209C2×C4×Dic3—52no—
210C2×C4×Dic3—52no—
211C2×C4×Dic3—52no—
212C2×C4×Dic3—104no—
213C3⋊#95—52no—
214C3⋊#95—52no—
215C3⋊#95—52no—
216C3⋊#95C2×D512yes—
217C24×C5C22×D311yescharacteristic
218C24×C5C22×D311yescharacteristic
219C23×D5C22×D311yescharacteristic
220C2×C5×D4—22no—
221C2×C5×D4—22no—
222C2×C5×D4C2×Dic314yes—
223C22×C4×C5—32no—
224C22×C4×C5—32no—
225C22×C4×C5—64no—
226C22×C4×C5—62no—
227C22×C4×C5C22×D311yescharacteristic
228C2×C22⋊D5—22no—
229C2×C22⋊D5—22no—
230C2×C22⋊D5—22no—
231C2×C22⋊D5—22no—
232C2×C22⋊D5C2×Dic314yes—
233C2×C22⋊D5C2×Dic314yescomplemented
234C22×Dic5—22no—
235C22×Dic5—22no—
236C22×Dic5—32no—
237C22×Dic5—32no—
238C22×Dic5—64no—
239C22×Dic5—62no—
240C22×Dic5C2×Dic314yes—
241C22×Dic5C2×Dic314yescomplemented
242C22×Dic5#6714yes—
243C22×Dic5#6714yes—
244C22×Dic5C22×D311yescharacteristic
245C22×Dic5C22×D311yescharacteristic
246C22×Dic5C22×D311yescharacteristic
247#711—232no—
248C2×C4×D5—22no—
249C2×C4×D5—22no—
250C2×C4×D5C2×Dic314yescomplemented
251C2×Dic10—22no—
252C2×Dic10—22no—
253C2×Dic10C2×Dic314yescomplemented
254C5×C22⋊C4—64no—
255C5×C22⋊C4—62no—
256C22⋊Dic5—64no—
257C22⋊Dic5—62no—
258#685—64no—
259#685—64no—
260#683—64no—
261C4×Dic5—64no—
262C4×Dic5—64no—
263C4×Dic5—64no—
264C22×#41—51no—
265C2×#117—151no—
266C22×C42—151no—
267#391—152no—
268#390—152no—
269#386—31no—
270#386—151no—
271#386—151no—
272#386—151no—
273C4×C22⋊C4—152no—
274C4×C22⋊C4—152no—
275C22×C3×C5—24no—
276C22×C3×C5—22no—
277C22×C3×C5—22no—
278C22×C3×C5—24no—
279C22×C3×C5—22no—
280C22×C3×C5—24no—
281C22×C3×C5—41no—
282C22×C3×C5—41no—
283C22×C3×C5—42no—
284C22×C3×C5C2×C22⋊C414yes—
285C22×C3×C5C23×C411yescharacteristic
286C22×C3×C5C22×D411yescharacteristic
287C22×C3×C5C22×D411yescharacteristic
288C22×C3×C5C2×#4112yes—
289C22×C3×C5C2×#4112yes—
290C2×C3×D5—22no—
291C2×C3×D5—24no—
292C2×C3×D5—41no—
293C2×C3×D5—41no—
294C2×C3×D5—42no—
295C3×C4×C5—22no—
296Dic15—24no—
297Dic15—42no—
298C3×Dic5—22no—
299C3×Dic5C2×C22⋊C414yes—
300C3×Dic5C2×C22⋊C414yes—
301C5×Dic3—24no—
302C5×Dic3—42no—
303C24×C3—51no—
304C24×C3C22×D511yescharacteristic
305C24×C3C22×D511yescharacteristic
306C3×#41—1032no—
307C2×C3×Q8—54no—
308C2×C3×Q8—102no—
309C2×C3×Q8—102no—
310C2×C3×D4—22no—
311C2×C3×D4—22no—
312C2×C3×D4—54no—
313C2×C3×D4—54no—
314C2×C3×D4—102no—
315C2×C3×D4—102no—
316C2×C3×D4—102no—
317C2×C3×D4—102no—
318C2×C3×D4C4×D514yes—
319C22×C3×C4—54no—
320C22×C3×C4—54no—
321C22×C3×C4—54no—
322C22×C3×C4—51no—
323C22×C3×C4—51no—
324C22×C3×C4—54no—
325C22×C3×C4—51no—
326C22×C3×C4—54no—
327C22×C3×C4—102no—
328C22×C3×C4—102no—
329C22×C3×C4—102no—
330C22×C3×C4—102no—
331C22×C3×C4C22×D511yescharacteristic
332C22×Dic3—22no—
333C22×Dic3—24no—
334C22×Dic3—52no—
335C22×Dic3—52no—
336C22×Dic3—104no—
337C22×Dic3—102no—
338C22×Dic3C22×D512yes—
339C22×Dic3C22×D512yes—
340#217—22no—
341#217—24no—
342#217—104no—
343#217—104no—
344#217—102no—
345#217—104no—
346C4⋊Dic3—104no—
347C4×Dic3—104no—
348C4×Dic3—104no—
349C4×Dic3—104no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—22no—
354C23×C5—21no—
355C23×C5—21no—
356C23×C5C22×Dic312yes—
357C23×C5C22×Dic312yes—
358C23×C5C2×#6712yes—
359C23×C5C2×#6712yes—
360C23×C5C23×D311yescharacteristic
361C22×D5—22no—
362C22×D5—22no—
363C22×D5—21no—
364C22×D5—21no—
365C22×D5C22×Dic312yes—
366C5×D4—28no—
367C2×C4×C5—21no—
368C2×C4×C5—21no—
369C2×C4×C5—34no—
370C2×C4×C5—68no—
371C2×C4×C5—62no—
372C2×C4×C5—62no—
373C2×C4×C5—62no—
374C2×C4×C5—62no—
375C2×C4×C5—62no—
376C2×C4×C5C22×Dic312yes—
377C22⋊D5—28no—
378C22⋊D5—28no—
379C2×Dic5—21no—
380C2×Dic5—21no—
381C2×Dic5—28no—
382C2×Dic5—34no—
383C2×Dic5—68no—
384C2×Dic5—62no—
385C2×Dic5—62no—
386C2×Dic5—62no—
387C2×Dic5—62no—
388C2×Dic5—62no—
389C2×Dic5#217116yescomplemented
390C2×Dic5C22×Dic312yes—
391C2×Dic5C22×Dic312yes—
392C2×Dic5C22×Dic312yes—
393C2×Dic5C2×#6712yes—
394C2×Dic5C2×#6712yes—
395C2×Dic5C2×#6712yes—
396C2×Dic5C2×#6712yes—
397C4×D5—28no—
398Dic10—28no—
399C2×#41—58no—
400C2×#41—104no—
401C2×#41—104no—
402C22×Q8—51no—
403C22×D4—51no—
404C22×D4—51no—
405C22×D4D3×D511yescharacteristic
406C23×C4—31no—
407C23×C4—51no—
408C23×C4—51no—
409C23×C4—51no—
410C23×C4—151no—
411#117—304no—
412C2×C4⋊C4—152no—
413C2×C22⋊C4—31no—
414C2×C22⋊C4—32no—
415C2×C22⋊C4—152no—
416C2×C22⋊C4—152no—
417C2×C22⋊C4—151no—
418C2×C22⋊C4—152no—
419C2×C42—152no—
420C2×C42—152no—
421C2×C42—152no—
422C2×C42—304no—
423#95—32no—
424#95—152no—
425#95—152no—
426#95—152no—
427C2×C3×C5—24no—
428C2×C3×C5—42no—
429C2×C3×C5C22×C22⋊C411yescharacteristic
430C2×C3×C5C4×#4112yes—
431C2×C3×C5#52511yescharacteristic
432C2×C3×C5#52511yescharacteristic
433C2×C3×C5#53212yes—
434C3×D5—42no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3—21no—
438C23×C3—21no—
439C23×C3—22no—
440C23×C3—22no—
441C23×C3—52no—
442C23×C3—101no—
443C23×C3—101no—
444C23×C3—102no—
445C23×C3—102no—
446C23×C3C2×C4×D512yes—
447C23×C3C2×C4×D512yes—
448C23×C3D4×D512yes—
449C23×C3D4×D512yes—
450C23×C3C23×D511yescharacteristic
451C3×Q8—108no—
452C3×D4—28no—
453C3×D4—108no—
454C3×D4—108no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—52no—
458C2×C3×C4—52no—
459C2×C3×C4—52no—
460C2×C3×C4—52no—
461C2×C3×C4—52no—
462C2×C3×C4—52no—
463C2×C3×C4—516no—
464C2×C3×C4—52no—
465C2×C3×C4—108no—
466C2×C3×C4—108no—
467C2×C3×C4—101no—
468C2×C3×C4—101no—
469C2×C3×C4C2×C4×D512yes—
470C2×Dic3—28no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—54no—
477C2×Dic3—108no—
478C2×Dic3—102no—
479C2×Dic3—102no—
480C2×Dic3—102no—
481C2×Dic3—102no—
482C2×Dic3—102no—
483C2×Dic3#71114yescomplemented
484C22×C5—24no—
485C22×C5—22no—
486C22×C5—22no—
487C22×C5—24no—
488C22×C5—24no—
489C22×C5—22no—
490C22×C5—41no—
491C22×C5—41no—
492C22×C5—42no—
493C22×C5C2×#21714yes—
494C22×C5D3×#4112yes—
495C22×C5D3×#4112yes—
496C22×C5C23×Dic311yescharacteristic
497C22×C5C22×#6711yescharacteristic
498C22×C5C22×#6711yescharacteristic
499C2×D5—24no—
500C2×D5—22no—
501C2×D5—41no—
502C2×D5—41no—
503C2×D5—42no—
504C4×C5—22no—
505C4×C5—64no—
506C4×C5—122no—
507Dic5—22no—
508Dic5—64no—
509Dic5—122no—
510Dic5C2×#21714yes—
511Dic5C2×#21714yes—
512C24—51no—
513C24C2×D3×D511yescharacteristic
514C24C2×D3×D511yescharacteristic
515#41—1032no—
516C2×Q8—54no—
517C2×Q8—102no—
518C2×Q8—102no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—54no—
522C2×D4—54no—
523C2×D4—102no—
524C2×D4—102no—
525C2×D4—102no—
526C2×D4—102no—
527C2×D4D5×Dic314yes—
528C22×C4—32no—
529C22×C4—32no—
530C22×C4—54no—
531C22×C4—54no—
532C22×C4—54no—
533C22×C4—51no—
534C22×C4—51no—
535C22×C4—54no—
536C22×C4—51no—
537C22×C4—54no—
538C22×C4—64no—
539C22×C4—62no—
540C22×C4—102no—
541C22×C4—102no—
542C22×C4—102no—
543C22×C4—102no—
544C22×C4—152no—
545C22×C4—152no—
546C22×C4—304no—
547C22×C4—302no—
548C22×C4C2×D3×D511yescharacteristic
549C4⋊C4—304no—
550C22⋊C4—64no—
551C22⋊C4—62no—
552C22⋊C4—304no—
553C22⋊C4—304no—
554C22⋊C4—304no—
555C22⋊C4—302no—
556C42—304no—
557C42—304no—
558C42—304no—
559C3×C5#229711yescharacteristic, complemented, Hall
560C22×C3—24no—
561C22×C3—22no—
562C22×C3—24no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—24no—
566C22×C3—41no—
567C22×C3—42no—
568C22×C3—41no—
569C22×C3—102no—
570C22×C3—104no—
571C22×C3—201no—
572C22×C3—202no—
573C22×C3—201no—
574C22×C3D5×C22⋊C414yes—
575C22×C3C22×C4×D511yescharacteristic
576C22×C3C2×D4×D511yescharacteristic
577C22×C3C2×D4×D511yescharacteristic
578C22×C3C2×#71112yes—
579C22×C3D5×#4112yes—
580C3×C4—22no—
581C3×C4—54no—
582C3×C4—54no—
583C3×C4—102no—
584Dic3—24no—
585Dic3—42no—
586Dic3—104no—
587Dic3—202no—
588C2×C5—24no—
589C2×C5—42no—
590C2×C5Dic3×#4112yes—
591C2×C5#582811yescharacteristic
592C2×C5#582811yescharacteristic
593C2×C5#583212yes—
594C2×C5C22×#21711yescharacteristic
595D5—42no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—52no—
603C23—102no—
604C23—102no—
605C23—101no—
606C23—101no—
607C23C2×D5×Dic312yes—
608C23C2×D5×Dic312yes—
609C23D5×#6712yes—
610C23D5×#6712yes—
611C23C22×D3×D511yescharacteristic
612Q8—108no—
613D4—28no—
614D4—108no—
615D4—108no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—34no—
619C2×C4—52no—
620C2×C4—52no—
621C2×C4—52no—
622C2×C4—52no—
623C2×C4—52no—
624C2×C4—52no—
625C2×C4—516no—
626C2×C4—52no—
627C2×C4—68no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—62no—
633C2×C4—108no—
634C2×C4—108no—
635C2×C4—101no—
636C2×C4—101no—
637C2×C4—154no—
638C2×C4—308no—
639C2×C4—302no—
640C2×C4—302no—
641C2×C4—302no—
642C2×C4—302no—
643C2×C4—302no—
644C2×C4C2×D5×Dic312yes—
645C2×C3—24no—
646C2×C3—42no—
647C2×C3—202no—
648C2×C3C2×D5×C22⋊C411yescharacteristic
649C2×C3C4×#71112yes—
650C2×C3#6592011yescharacteristic
651C2×C3#6593012yes—
652C2×C3#6599011yescharacteristic
653C5#8408611yescharacteristic, complemented, Sylow
654C22—22no—
655C22—24no—
656C22—22no—
657C22—24no—
658C22—22no—
659C22—24no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—102no—
664C22—104no—
665C22—201no—
666C22—202no—
667C22—201no—
668C22D5×#21714yes—
669C22D3×#71112yes—
670C22#9202412yes—
671C22C22×D5×Dic311yescharacteristic
672C22C2×D5×#6711yescharacteristic
673C22C2×D5×#6711yescharacteristic
674C4—22no—
675C4—54no—
676C4—54no—
677C4—64no—
678C4—102no—
679C4—122no—
680C4—304no—
681C4—602no—
682C3#1060638911yescharacteristic, complemented, Sylow
683C2—24no—
684C2—42no—
685C2—202no—
686C2#1175479511yescharacteristic
687C2#1175479612yes—
688C2#1175480011yescharacteristic
689C2Dic3×#71112yes—
690C2C2×D5×#21711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C3×#711C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2297
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×#91528C2semidirect
3. C22×Dic3×Dic5C2semidirect
4. #11751321C2semidirect
5. C5×#5220C2semidirect
6. #11749500C2semidirect
7. #11749495C2semidirect
8. #11749489C2semidirect
9. Dic5×#217C2semidirect
10. #11748702C2semidirect
11. #11748672C2semidirect
22. C2×C3×#711C4semidirect
73. C2×C3×C22⋊D5C2×C4semidirect
77. C22×C3×Dic5C2×C4semidirect
86. C2×C3×C4×D5C2×C4semidirect
89. C2×C3×Dic10C2×C4semidirect
108. #5220D5semidirect
120. C2×#711Dic3semidirect
166. C2×Dic15#41semidirect
173. C2×C5×Dic3#41semidirect
179. C2×C3×Dic5C22⋊C4semidirect
233. C2×C22⋊D5C2×Dic3semidirect
241. C22×Dic5C2×Dic3semidirect
250. C2×C4×D5C2×Dic3semidirect
253. C2×Dic10C2×Dic3semidirect
389. C2×Dic5#217semidirect
483. C2×Dic3#711semidirect
559. C3×C5#2297semidirect
653. C5#84086semidirect
682. C3#10606389semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#7112
C2×#915282
C22×Dic3×Dic52
#117513212
C5×#52202
#117495002
#117494952
#117494892
Dic5×#2172
#117487022
#117486722
#106063893
#840865