Finite Group Databasebeta

← #14331535

Subgroups — #14331535

Order 1920.

2504 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×D15C211yesmaximal, characteristic
2C2×#91561C212yesmaximal, complemented
3C2×#91561C212yesmaximal, complemented
4C2×#91404C211yesmaximal, characteristic, complemented
5C5×#5222C211yesmaximal, characteristic, complemented
6C3×#65511C211yesmaximal, characteristic, complemented
7#11749510C212yesmaximal, complemented
8#11749499C212yesmaximal, complemented
9#11748888C211yesmaximal, characteristic, complemented
10#11748790C211yesmaximal, characteristic, complemented
11#11748769C211yesmaximal, characteristic, complemented
12D5×#394—31nomaximal, Hall
13C24×D15C2212yes—
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C2×D4×D15—28no—
17C2×D4×D15—24no—
18C22×D60C2211yescharacteristic
19C22×C4×D15C2211yescharacteristic
20C22×#1200C2212yes—
21C22×#1200C2211yescharacteristic
22C22×#1200C2211yescharacteristic
23C2×C5×#217C2212yescomplemented
24C2×C5×#217C2212yescomplemented
25C2×C5×Dic3⋊C4C2211yescharacteristic, complemented
26C2×C3×C22⋊Dic5C2212yescomplemented
27C2×C3×C22⋊Dic5C2212yescomplemented
28C2×C3×#683C2211yescharacteristic, complemented
29#91561—28no—
30#91561—28no—
31C2×Dic3⋊Dic5C2211yescharacteristic, complemented
32C2×#6668C2211yescharacteristic, complemented
33C2×#6667C2212yescomplemented
34C2×#6667C2212yescomplemented
35C2×#6667C2212yescomplemented
36C2×#6667C2212yescomplemented
37#91404—24no—
38C5×C3⋊#95C2211yescharacteristic, complemented
39C3×#3963C2211yescharacteristic, complemented
40#90994C2212yescomplemented
41D3×#394—51nomaximal, Hall
42C22×D4×D5—31no—
43C2×D5×C4⋊C4—31no—
44C2×D5×C22⋊C4—32no—
45C2×D5×C22⋊C4—32no—
46C5×#394—31no—
47#65511D311yescharacteristic, complemented
48#65280—31no—
49#65250—32no—
50#65248—32no—
51#64961—31no—
52D5×#95—31no—
53C24×C3×C5C2312yes—
54C23×D15—24no—
55C23×D15—24no—
56C23×D15—24no—
57C23×D15—24no—
58C23×D15—24no—
59C23×D15—24no—
60C23×D15D418yes—
61C23×D15C2312yes—
62C23×D15C2311yescharacteristic
63C2×C3×C5×D4—24no—
64C2×C3×C5×D4—22no—
65C22×C3×C4×C5C2311yescharacteristic
66C2×#1220—24no—
67C2×#1220—24no—
68C2×#1220—24no—
69C22×Dic15C2311yescharacteristic
70D4×D15—232no—
71C2×D60—24no—
72C2×D60—22no—
73C2×C4×D15—24no—
74C2×C4×D15D414yes—
75C22×C5×Dic3C2311yescharacteristic
76C22×C5×Dic3C2312yes—
77C22×C5×Dic3C2311yescharacteristic
78C22×C3×Dic5C2312yes—
79C22×C3×Dic5C2311yescharacteristic
80C22×C3×Dic5C2311yescharacteristic
81C2×#1200—22no—
82C2×#1200—22no—
83C2×#1200—22no—
84C2×#1200—24no—
85C2×#1200—24no—
86C2×#1200—24no—
87C2×#1200—24no—
88C2×#1200D414yescomplemented
89C5×#217—24no—
90C5×#217—24no—
91C5×Dic3⋊C4—22no—
92C3×C22⋊Dic5—24no—
93C3×C22⋊Dic5—24no—
94C3×#683—22no—
95Dic3⋊Dic5—22no—
96#6668—22no—
97#6667—24no—
98#6667—24no—
99#6667—24no—
100#6667—24no—
101C22×D3×D4—51no—
102C2×D3×C4⋊C4—51no—
103C2×D3×C22⋊C4—52no—
104C2×D3×C22⋊C4—52no—
105C3×#394—51no—
106#5222D511yescharacteristic, complemented
107#4991—51no—
108#4961—52no—
109#4959—52no—
110#4672—51no—
111D3×#95—51no—
112C24×D5—32no—
113C22×C5×D4C2×D311yescharacteristic
114C22×C22⋊D5—32no—
115C2×D4×D5—64no—
116C2×D4×D5—68no—
117C22×D20—31no—
118C22×C4×D5—31no—
119C22×C4×D5—31no—
120C22×C4×D5—31no—
121C22×C4×D5—32no—
122C2×C5×C4⋊C4—31no—
123C2×C5×C22⋊C4—32no—
124C2×C5×C22⋊C4—32no—
125C2×C22⋊Dic5C2×D312yescomplemented
126C2×C22⋊Dic5C2×D312yescomplemented
127C2×#685—32no—
128C2×#685—32no—
129C2×#685—32no—
130C2×#685—32no—
131C2×C4⋊Dic5—31no—
132C2×#683—31no—
133C2×#683C2×D311yescharacteristic, complemented
134D5×C4⋊C4—64no—
135D5×C22⋊C4—68no—
136D5×C22⋊C4—68no—
137C5×#95—31no—
138#3963—32no—
139#3963C2×D311yescharacteristic, complemented
140C2×#394—151noSylow
141C23×C3×C5—22no—
142C23×C3×C5—22no—
143C23×C3×C5—22no—
144C23×C3×C5—22no—
145C23×C3×C5—22no—
146C23×C3×C5—22no—
147C23×C3×C5C2×D414yes—
148C23×C3×C5C2411yescharacteristic
149C22×D15—22no—
150C22×D15—22no—
151C22×D15—22no—
152C22×D15—22no—
153C22×D15—22no—
154C22×D15—22no—
155C22×D15—216no—
156C22×D15—216no—
157C22×D15—216no—
158C22×D15—48no—
159C22×D15—48no—
160C22×D15—48no—
161C22×D15—48no—
162C22×D15C2×D414yes—
163C22×D15C2×D414yes—
164C22×D15C2×D412yes—
165C22×D15C2×D412yes—
166C22×D15#4112yes—
167C22×D15#4114yes—
168C3×C5×D4—28no—
169C2×C3×C4×C5—22no—
170C2×C3×C4×C5C2×D412yes—
171#1220—216no—
172C2×Dic15—22no—
173C2×Dic15C2×D412yes—
174D60—28no—
175C4×D15—28no—
176C2×C5×Dic3—21no—
177C2×C5×Dic3—21no—
178C2×C5×Dic3—22no—
179C2×C5×Dic3—22no—
180C2×C5×Dic3—22no—
181C2×C5×Dic3—21no—
182C2×C5×Dic3—22no—
183C2×C5×Dic3C2×D412yescomplemented
184C2×C3×Dic5—21no—
185C2×C3×Dic5—21no—
186C2×C3×Dic5—22no—
187C2×C3×Dic5—22no—
188C2×C3×Dic5—22no—
189C2×C3×Dic5—21no—
190C2×C3×Dic5—22no—
191C2×C3×Dic5C2×D412yescomplemented
192#1200—28no—
193#1200—44no—
194#1200—48no—
195C24×D3—52no—
196C22×C3×D4C2×D511yescharacteristic
197C22×#67—52no—
198C2×D3×D4—104no—
199C2×D3×D4—108no—
200C22×D12—51no—
201C22×C4×D3—51no—
202C22×C4×D3—51no—
203C22×C4×D3—52no—
204C22×C4×D3—51no—
205C2×C3×C4⋊C4—51no—
206C2×C3×C22⋊C4—52no—
207C2×C3×C22⋊C4—52no—
208C2×#217C2×D512yescomplemented
209C2×#217C2×D512yescomplemented
210C2×(C2×D3)⋊C4—52no—
211C2×(C2×D3)⋊C4—52no—
212C2×(C2×D3)⋊C4—52no—
213C2×(C2×D3)⋊C4—52no—
214C2×C4⋊Dic3—51no—
215C2×Dic3⋊C4—51no—
216C2×Dic3⋊C4C2×D511yescharacteristic, complemented
217D3×C4⋊C4—104no—
218D3×C22⋊C4—108no—
219D3×C22⋊C4—108no—
220C3×#95—51no—
221C3⋊#95—52no—
222C3⋊#95C2×D511yescharacteristic, complemented
223C24×C5C22×D312yes—
224C23×D5—31no—
225C23×D5—38no—
226C23×D5—32no—
227C23×D5—64no—
228C23×D5—64no—
229C23×D5—64no—
230C23×D5—64no—
231C23×D5—64no—
232C23×D5—64no—
233C2×C5×D4—24no—
234C2×C5×D4—22no—
235C22×C4×C5—31no—
236C22×C4×C5—31no—
237C22×C4×C5—32no—
238C22×C4×C5C22×D311yescharacteristic
239C2×C22⋊D5—64no—
240C2×C22⋊D5—64no—
241C2×C22⋊D5—64no—
242C22×Dic5—31no—
243C22×Dic5C22×D312yes—
244C22×Dic5C22×D311yescharacteristic
245C22×Dic5C22×D311yescharacteristic
246D4×D5—632no—
247C2×D20—64no—
248C2×D20—62no—
249C2×C4×D5—34no—
250C2×C4×D5—34no—
251C2×C4×D5—62no—
252C2×C4×D5—62no—
253C2×C4×D5—64no—
254C2×C4×D5—64no—
255C2×C4×D5—64no—
256C2×C4×D5—64no—
257C2×C4×D5—64no—
258C2×C4×D5—62no—
259C5×C4⋊C4—62no—
260C5×C22⋊C4—64no—
261C5×C22⋊C4—64no—
262C22⋊Dic5—24no—
263C22⋊Dic5—24no—
264#685—64no—
265#685—64no—
266#685—64no—
267#685—64no—
268C4⋊Dic5—62no—
269#683—22no—
270#683—62no—
271C23×D4—151no—
272C22×C4⋊C4—151no—
273C22×C22⋊C4—152no—
274C22×C22⋊C4—152no—
275#394—31no—
276#394—51no—
277#394—151no—
278#394—151no—
279#394—152no—
280#394—152no—
281C2×#95—151no—
282C22×C3×C5—24no—
283C22×C3×C5—24no—
284C22×C3×C5—24no—
285C22×C3×C5—42no—
286C22×C3×C5—42no—
287C22×C3×C5—42no—
288C22×C3×C5—42no—
289C22×C3×C5C22×D412yes—
290C22×C3×C5C22×D411yescharacteristic
291C22×C3×C5C22×D411yescharacteristic
292C22×C3×C5C2×#4111yescharacteristic
293C22×C3×C5C2×#4112yes—
294C2×D15—24no—
295C2×D15—24no—
296C2×D15—24no—
297C2×D15—42no—
298C2×D15—42no—
299C2×D15—42no—
300C2×D15—42no—
301C2×D15—432no—
302C2×D15#12014yes—
303C2×D15#12114yes—
304C2×D15#12118yes—
305C2×D15#12318yes—
306C2×D15#12414yes—
307C3×C4×C5—22no—
308Dic15—22no—
309C3×Dic5—22no—
310C3×Dic5—41no—
311C3×Dic5—42no—
312C5×Dic3—22no—
313C5×Dic3—41no—
314C5×Dic3—42no—
315C24×C3C22×D512yes—
316C23×D3—51no—
317C23×D3—58no—
318C23×D3—52no—
319C23×D3—104no—
320C23×D3—104no—
321C23×D3—104no—
322C23×D3—104no—
323C23×D3—104no—
324C23×D3—104no—
325C2×C3×D4—24no—
326C2×C3×D4—22no—
327C22×C3×C4—51no—
328C22×C3×C4—52no—
329C22×C3×C4—51no—
330C22×C3×C4C22×D511yescharacteristic
331C2×#67—104no—
332C2×#67—104no—
333C2×#67—104no—
334C22×Dic3—51no—
335C22×Dic3C22×D512yes—
336C22×Dic3C22×D511yescharacteristic
337C22×Dic3C22×D511yescharacteristic
338D3×D4—1032no—
339C2×D12—104no—
340C2×D12—102no—
341C2×C4×D3—54no—
342C2×C4×D3—54no—
343C2×C4×D3—102no—
344C2×C4×D3—102no—
345C2×C4×D3—104no—
346C2×C4×D3—104no—
347C2×C4×D3—104no—
348C2×C4×D3—104no—
349C2×C4×D3—102no—
350C2×C4×D3—104no—
351C3×C4⋊C4—102no—
352C3×C22⋊C4—104no—
353C3×C22⋊C4—104no—
354#217—24no—
355#217—24no—
356(C2×D3)⋊C4—104no—
357(C2×D3)⋊C4—104no—
358(C2×D3)⋊C4—104no—
359(C2×D3)⋊C4—104no—
360C4⋊Dic3—102no—
361Dic3⋊C4—22no—
362Dic3⋊C4—102no—
363C23×C5—22no—
364C23×C5—22no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5—22no—
369C23×C5D3×D414yes—
370C23×C5C23×D311yescharacteristic
371C22×D5—32no—
372C22×D5—32no—
373C22×D5—34no—
374C22×D5—32no—
375C22×D5—34no—
376C22×D5—34no—
377C22×D5—616no—
378C22×D5—616no—
379C22×D5—616no—
380C22×D5—62no—
381C22×D5—62no—
382C22×D5—62no—
383C22×D5—62no—
384C22×D5—62no—
385C22×D5—62no—
386C22×D5—128no—
387C22×D5—128no—
388C22×D5—128no—
389C22×D5—128no—
390C5×D4—28no—
391C2×C4×C5—22no—
392C2×C4×C5—32no—
393C2×C4×C5—61no—
394C2×C4×C5—61no—
395C2×C4×C5—61no—
396C2×C4×C5—62no—
397C2×C4×C5—62no—
398C2×C4×C5—62no—
399C2×C4×C5—62no—
400C2×C4×C5D3×D412yes—
401C22⋊D5—616no—
402C2×Dic5—21no—
403C2×Dic5—21no—
404C2×Dic5—21no—
405C2×Dic5—22no—
406C2×Dic5—22no—
407C2×Dic5—22no—
408C2×Dic5—22no—
409C2×Dic5—32no—
410C2×Dic5—62no—
411C2×Dic5D3×D412yescomplemented
412D20—68no—
413C4×D5—68no—
414C4×D5—68no—
415C4×D5—124no—
416C4×D5—128no—
417C25—152no—
418C22×D4—152no—
419C22×D4—151no—
420C22×D4—304no—
421C22×D4—308no—
422C22×D4D3×D511yescharacteristic
423C23×C4—151no—
424C23×C4—151no—
425C23×C4—152no—
426C23×C4—151no—
427C2×C4⋊C4—31no—
428C2×C4⋊C4—51no—
429C2×C4⋊C4—151no—
430C2×C4⋊C4—151no—
431C2×C4⋊C4—304no—
432C2×C22⋊C4—32no—
433C2×C22⋊C4—32no—
434C2×C22⋊C4—52no—
435C2×C22⋊C4—52no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C22⋊C4—152no—
440C2×C22⋊C4—308no—
441C2×C22⋊C4—308no—
442#95—31no—
443#95—51no—
444#95—152no—
445C2×C3×C5—44no—
446C2×C3×C5C2×#12011yescharacteristic
447C2×C3×C5C2×#12111yescharacteristic
448C2×C3×C5C2×#12112yes—
449C2×C3×C5C2×#12312yes—
450C2×C3×C5C2×#12411yescharacteristic
451D15—44no—
452D15#39418yescomplemented
453C23×C3—22no—
454C23×C3—22no—
455C23×C3—22no—
456C23×C3—22no—
457C23×C3—22no—
458C23×C3—22no—
459C23×C3D4×D514yes—
460C23×C3C23×D511yescharacteristic
461C22×D3—52no—
462C22×D3—52no—
463C22×D3—54no—
464C22×D3—52no—
465C22×D3—54no—
466C22×D3—54no—
467C22×D3—1016no—
468C22×D3—1016no—
469C22×D3—1016no—
470C22×D3—102no—
471C22×D3—102no—
472C22×D3—102no—
473C22×D3—102no—
474C22×D3—102no—
475C22×D3—102no—
476C22×D3—208no—
477C22×D3—208no—
478C22×D3—208no—
479C22×D3—208no—
480C3×D4—28no—
481C2×C3×C4—22no—
482C2×C3×C4—52no—
483C2×C3×C4—101no—
484C2×C3×C4—101no—
485C2×C3×C4—101no—
486C2×C3×C4—102no—
487C2×C3×C4—102no—
488C2×C3×C4—102no—
489C2×C3×C4—102no—
490C2×C3×C4D4×D512yes—
491#67—1016no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—22no—
496C2×Dic3—22no—
497C2×Dic3—22no—
498C2×Dic3—22no—
499C2×Dic3—52no—
500C2×Dic3—102no—
501C2×Dic3D4×D512yescomplemented
502D12—108no—
503C4×D3—108no—
504C4×D3—108no—
505C4×D3—204no—
506C4×D3—208no—
507C22×C5—24no—
508C22×C5—24no—
509C22×C5—24no—
510C22×C5—42no—
511C22×C5—42no—
512C22×C5—42no—
513C22×C5—42no—
514C22×C5C2×D3×D411yescharacteristic
515C22×C5C2×D3×D412yes—
516C22×C5C2×D3×D411yescharacteristic
517C22×C5D3×#4111yescharacteristic
518C22×C5D3×#4112yes—
519C2×D5—38no—
520C2×D5—34no—
521C2×D5—34no—
522C2×D5—34no—
523C2×D5—38no—
524C2×D5—64no—
525C2×D5—64no—
526C2×D5—64no—
527C2×D5—1232no—
528C2×D5—122no—
529C2×D5—122no—
530C2×D5—122no—
531C2×D5—122no—
532C4×C5—22no—
533C4×C5—62no—
534C4×C5—121no—
535C4×C5—122no—
536Dic5—22no—
537Dic5—41no—
538Dic5—42no—
539Dic5—62no—
540C24—151no—
541C24—158no—
542C24—152no—
543C24—304no—
544C24—304no—
545C24—304no—
546C24—304no—
547C24—304no—
548C24—304no—
549C24C2×D3×D512yes—
550C2×D4—24no—
551C2×D4—22no—
552C2×D4—304no—
553C2×D4—304no—
554C2×D4—3032no—
555C2×D4—304no—
556C2×D4—304no—
557C2×D4—302no—
558C22×C4—31no—
559C22×C4—32no—
560C22×C4—31no—
561C22×C4—51no—
562C22×C4—52no—
563C22×C4—51no—
564C22×C4—154no—
565C22×C4—151no—
566C22×C4—154no—
567C22×C4—304no—
568C22×C4—302no—
569C22×C4—302no—
570C22×C4—304no—
571C22×C4—304no—
572C22×C4—304no—
573C22×C4—302no—
574C22×C4—304no—
575C22×C4C2×D3×D511yescharacteristic
576C4⋊C4—62no—
577C4⋊C4—102no—
578C4⋊C4—302no—
579C4⋊C4—302no—
580C22⋊C4—64no—
581C22⋊C4—64no—
582C22⋊C4—104no—
583C22⋊C4—104no—
584C22⋊C4—304no—
585C22⋊C4—304no—
586C22⋊C4—304no—
587C22⋊C4—304no—
588C3×C5C2×#39411yescharacteristic, complemented, Hall
589C22×C3—24no—
590C22×C3—24no—
591C22×C3—24no—
592C22×C3—42no—
593C22×C3—42no—
594C22×C3—42no—
595C22×C3—42no—
596C22×C3C2×D4×D511yescharacteristic
597C22×C3C2×D4×D512yes—
598C22×C3C2×D4×D511yescharacteristic
599C22×C3D5×#4111yescharacteristic
600C22×C3D5×#4112yes—
601C2×D3—54no—
602C2×D3—54no—
603C2×D3—58no—
604C2×D3—58no—
605C2×D3—54no—
606C2×D3—104no—
607C2×D3—104no—
608C2×D3—104no—
609C2×D3—2032no—
610C2×D3—202no—
611C2×D3—202no—
612C2×D3—202no—
613C2×D3—202no—
614C3×C4—22no—
615C3×C4—102no—
616C3×C4—201no—
617C3×C4—202no—
618Dic3—22no—
619Dic3—41no—
620Dic3—42no—
621Dic3—102no—
622C2×C5—44no—
623C2×C5D3×#12011yescharacteristic
624C2×C5D3×#12111yescharacteristic
625C2×C5D3×#12112yes—
626C2×C5D3×#12312yes—
627C2×C5D3×#12411yescharacteristic
628D5—38no—
629D5—124no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—152no—
637C23—152no—
638C23—154no—
639C23—152no—
640C23—154no—
641C23—154no—
642C23—3016no—
643C23—3016no—
644C23—3016no—
645C23—302no—
646C23—302no—
647C23—302no—
648C23—302no—
649C23—302no—
650C23—302no—
651C23—608no—
652C23—608no—
653C23—608no—
654C23—608no—
655C23#679014yes—
656C23C22×D3×D511yescharacteristic
657D4—28no—
658D4—308no—
659D4—3016no—
660C2×C4—22no—
661C2×C4—32no—
662C2×C4—52no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—61no—
670C2×C4—101no—
671C2×C4—101no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—101no—
677C2×C4—152no—
678C2×C4—308no—
679C2×C4—308no—
680C2×C4—302no—
681C2×C4—608no—
682C2×C4—604no—
683C2×C4#679012yes—
684C2×C3—44no—
685C2×C3D5×#12011yescharacteristic
686C2×C3D5×#12111yescharacteristic
687C2×C3D5×#12112yes—
688C2×C3D5×#12312yes—
689C2×C3D5×#12411yescharacteristic
690D3—58no—
691D3—204no—
692C5D3×#39411yescharacteristic, complemented, Sylow
693C22—24no—
694C22—24no—
695C22—24no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—154no—
701C22—158no—
702C22—158no—
703C22—154no—
704C22—154no—
705C22—304no—
706C22—304no—
707C22—304no—
708C22—6032no—
709C22—602no—
710C22—602no—
711C22—602no—
712C22—602no—
713C22D3×D4×D511yescharacteristic
714C22#9202411yescharacteristic
715C22#9202412yes—
716C22C2×#679011yescharacteristic
717C22C2×#679012yes—
718C4—22no—
719C4—62no—
720C4—102no—
721C4—122no—
722C4—121no—
723C4—202no—
724C4—201no—
725C4—302no—
726C3D5×#39411yescharacteristic, complemented, Sylow
727C2—44no—
728C2—158no—
729C2—604no—
730C2#1175483012yes—
731C2#1175483111yescharacteristic
732C2#1175502611yescharacteristic
733C2#1175504912yes—
734C2#1175544111yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutator, socle, cosocleC23×C3×C5C24
FittingC22×C3×C5×D4C22
prime radicalC22×D4×D15C2
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#394
LCSG ▷ C23×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×#91561C2semidirect
3. C2×#91561C2semidirect
4. C2×#91404C2semidirect
5. C5×#5222C2semidirect
6. C3×#65511C2semidirect
7. #11749510C2semidirect
8. #11749499C2semidirect
9. #11748888C2semidirect
10. #11748790C2semidirect
11. #11748769C2semidirect
23. C2×C5×#217C22semidirect
24. C2×C5×#217C22semidirect
25. C2×C5×Dic3⋊C4C22semidirect
26. C2×C3×C22⋊Dic5C22semidirect
27. C2×C3×C22⋊Dic5C22semidirect
28. C2×C3×#683C22semidirect
31. C2×Dic3⋊Dic5C22semidirect
32. C2×#6668C22semidirect
33. C2×#6667C22semidirect
34. C2×#6667C22semidirect
35. C2×#6667C22semidirect
36. C2×#6667C22semidirect
38. C5×C3⋊#95C22semidirect
39. C3×#3963C22semidirect
40. #90994C22semidirect
47. #65511D3semidirect
88. C2×#1200D4semidirect
106. #5222D5semidirect
125. C2×C22⋊Dic5C2×D3semidirect
126. C2×C22⋊Dic5C2×D3semidirect
133. C2×#683C2×D3semidirect
139. #3963C2×D3semidirect
183. C2×C5×Dic3C2×D4semidirect
191. C2×C3×Dic5C2×D4semidirect
208. C2×#217C2×D5semidirect
209. C2×#217C2×D5semidirect
216. C2×Dic3⋊C4C2×D5semidirect
222. C3⋊#95C2×D5semidirect
411. C2×Dic5D3×D4semidirect
452. D15#394semidirect
501. C2×Dic3D4×D5semidirect
588. C3×C5C2×#394semidirect
692. C5D3×#394semidirect
726. C3D5×#394semidirect

Maximal subgroups

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

subgroupindex
C22×D4×D152
C2×#915612
C2×#914042
C5×#52222
C3×#655112
#117495102
#117494992
#117488882
#117487902
#117487692
D5×#3943
D3×#3945