Finite Group Databasebeta

← #14329486

Subgroups — #14329486

Order 1920.

1664 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91782C211yesmaximal, characteristic, complemented
2C2×C5×#893C211yesmaximal, characteristic, complemented
3C2×#91451C211yesmaximal, characteristic
4C2×C4×#1203C212yesmaximal, complemented
5C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
6#11748918C212yesmaximal, complemented
7#11748914C212yesmaximal, complemented
8#11748908C212yesmaximal, complemented
9C4×#6668C211yesmaximal, characteristic, complemented
10#11748797C211yesmaximal, characteristic, complemented
11#11748789C211yesmaximal, characteristic, complemented
12#10614074—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C4×D15C2212yes—
15C22×C5×D12C2211yescharacteristic
16C22×C4×C5×D3C2212yes—
17C22×#1203C2212yes—
18C22×#1203C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×#6714C2212yes—
21C2×C4×Dic15C2211yescharacteristic
22#91782—24no—
23C2×C5×(C2×D3)⋊C4C2212yes—
24C2×C4×C5×Dic3C2211yescharacteristic
25C5×#893—24no—
26C2×C3×C4⋊Dic5C2211yescharacteristic
27C2×C3×C4×Dic5C2212yes—
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×#6668C2211yescharacteristic
30C2×#6668C2211yescharacteristic
31C2×#6667C2212yes—
32C2×#6667C2212yes—
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35#91451C418yescomplemented
36C4×#1203—28no—
37C3×#3963C2212yes—
38#90994C2211yescharacteristic
39#90994C2211yescharacteristic
40#73653—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×#4086—31no—
43C2×C4×C22⋊D5—32no—
44C2×#4039—31no—
45#65510—31no—
46#65502—32no—
47C4⋊C4×Dic5D311yescharacteristic, complemented
48#65246—32no—
49#65245—32no—
50#65228—31no—
51C4×#683—31no—
52C23×D15C2312yes—
53C23×C5×D3C2312yes—
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2311yescharacteristic
57C22×Dic15C2311yescharacteristic
58C2×D60—22no—
59C2×D60—22no—
60C2×D60C2×C414yescomplemented
61C2×C4×D15—24no—
62C2×C4×D15—24no—
63C2×C4×D15—42no—
64C22×C5×Dic3C2311yescharacteristic
65C22×C5×Dic3C2311yescharacteristic
66C2×C5×D12—22no—
67C2×C5×D12—22no—
68C2×C5×D12C2×C414yescomplemented
69C2×C4×C5×D3—24no—
70C2×C4×C5×D3—24no—
71C2×C4×C5×D3—42no—
72C22×C3×Dic5C2312yes—
73C22×C3×Dic5C2311yescharacteristic
74C22×C3×Dic5C2311yescharacteristic
75C2×#1203—24no—
76C2×#1203—24no—
77C2×#1203—42no—
78C2×#1203—42no—
79C2×#1203C2×C418yescomplemented
80C2×#1203C2×C418yescomplemented
81C3×C5×C4⋊C4D414yescomplemented
82#6714—24no—
83C4×Dic15—22no—
84C5×(C2×D3)⋊C4—24no—
85C4×C5×Dic3—22no—
86C3×C4⋊Dic5—22no—
87C3×C4×Dic5—24no—
88C3×C4×Dic5C2×C414yescomplemented
89#6668—22no—
90#6668D414yescomplemented
91#6667—24no—
92#6667—42no—
93(C2×D3)⋊Dic5—24no—
94(C2×D3)⋊Dic5—42no—
95C2×#893—51no—
96C2×#893D511yescharacteristic, complemented
97C2×#874—51no—
98C2×C4×D12—52no—
99C3×C4×C4⋊C4—51no—
100#4988—51no—
101#4988—51no—
102#4939—52no—
103C4×C4⋊Dic3—51no—
104#4665—52no—
105#4665—52no—
106C22×C5×D4—31no—
107C23×C4×C5—32no—
108C22×C22⋊D5—32no—
109C22×C22⋊D5—32no—
110C22×D20—31no—
111C22×C4×D5—32no—
112C4×C5×D4—64no—
113C2×C5×C4⋊C4C2×D311yescharacteristic
114C2×C5×C22⋊C4—32no—
115C2×C42×C5—31no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118#4086—38no—
119C4×C22⋊D5—68no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×C4⋊Dic5C2×D311yescharacteristic
124C2×#683—31no—
125C2×#683—31no—
126C2×C4×Dic5—31no—
127C2×C4×Dic5C2×D312yes—
128C2×C4×Dic5C2×D311yescharacteristic
129#4039—64no—
130#3963—31no—
131#3963—31no—
132#3963C2×D312yes—
133#2366—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×D15—22no—
136C22×D15—22no—
137C22×D15—22no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15C22×C414yes—
142C22×C5×D3—22no—
143C22×C5×D3—22no—
144C22×C5×D3—22no—
145C22×C5×D3—22no—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3C22×C414yes—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D414yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5#4112yes—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—21no—
160C2×Dic15C2×D412yes—
161D60—28no—
162C4×D15—48no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3C2×D412yes—
169C5×D12—28no—
170C4×C5×D3—48no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5C22×C412yes—
177C2×C3×Dic5C22×C412yes—
178C2×C3×Dic5C2×D412yes—
179C2×C3×Dic5#4112yes—
180#1203—216no—
181#1203—48no—
182C22×D12—52no—
183C22×D12—51no—
184C22×D12—52no—
185C22×D12C2×D511yescharacteristic
186C22×C4×D3—52no—
187C22×C4×D3C2×D512yes—
188C2×C3×C4⋊C4—51no—
189C2×C3×C4⋊C4C2×D511yescharacteristic
190C2×C3×C42—51no—
191C2×C3×C42—52no—
192C2×(C2×D3)⋊C4—52no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4C2×D512yes—
198C2×C4⋊Dic3—51no—
199C2×C4⋊Dic3—51no—
200C2×C4×Dic3—51no—
201C2×C4×Dic3C2×D511yescharacteristic
202#893—24no—
203#893—104no—
204#874—58no—
205C4×D12—108no—
206C3×#95—52no—
207C3⋊#95—51no—
208C3⋊#95—51no—
209C24×C5—32no—
210C23×D5—32no—
211C2×C5×D4—34no—
212C2×C5×D4—62no—
213C2×C5×D4—62no—
214C22×C4×C5—31no—
215C22×C4×C5—31no—
216C22×C4×C5—64no—
217C22×C4×C5—64no—
218C22×C4×C5—122no—
219C22×C4×C5C22×D312yes—
220C22×C4×C5C22×D311yescharacteristic
221C2×C22⋊D5—38no—
222C2×C22⋊D5—38no—
223C2×C22⋊D5—64no—
224C2×C22⋊D5—64no—
225C2×C22⋊D5—122no—
226C2×C22⋊D5—122no—
227C22×Dic5—31no—
228C22×Dic5—31no—
229C22×Dic5C22×D312yes—
230C22×Dic5C22×D311yescharacteristic
231C22×Dic5C22×D311yescharacteristic
232C2×D20—34no—
233C2×D20—62no—
234C2×D20—62no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—122no—
238C5×C4⋊C4D1214yescomplemented
239C5×C22⋊C4—64no—
240C42×C5—62no—
241C22⋊Dic5—64no—
242C22⋊Dic5—122no—
243#685—64no—
244#685—64no—
245#685—122no—
246C4⋊Dic5—22no—
247#683—34no—
248#683—62no—
249C4×Dic5—24no—
250C4×Dic5—62no—
251C4×Dic5C4×D314yescomplemented
252C2×#127—151no—
253C2×C4×D4—31no—
254C2×C4×D4—152no—
255C2×C4×D4—151no—
256#390—151no—
257#390—152no—
258#390—151no—
259#386—152no—
260#386—152no—
261C4×C4⋊C4—51no—
262C4×C4⋊C4—151no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5H(5,𝔽2)11yescharacteristic
269C22×C3×C5H(5,𝔽2)11yescharacteristic
270C2×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C5×D3—24no—
278C2×C5×D3—24no—
279C2×C5×D3—24no—
280C2×C5×D3—42no—
281C2×C5×D3—42no—
282C2×C5×D3—42no—
283C2×C5×D3—42no—
284C3×C4×C5—24no—
285C3×C4×C5C4×D414yescomplemented
286Dic15—22no—
287Dic15—41no—
288C3×Dic5—22no—
289C3×Dic5—42no—
290C3×Dic5C4×D414yescomplemented
291C5×Dic3—22no—
292C5×Dic3—41no—
293C23×D3—52no—
294C23×D3C22×D512yes—
295C22×C3×C4—51no—
296C22×C3×C4—51no—
297C22×C3×C4—52no—
298C22×C3×C4C22×D512yes—
299C22×C3×C4C22×D511yescharacteristic
300C22×Dic3—51no—
301C22×Dic3—51no—
302C22×Dic3C22×D511yescharacteristic
303C22×Dic3C22×D511yescharacteristic
304C2×D12—22no—
305C2×D12—22no—
306C2×D12—58no—
307C2×D12—54no—
308C2×D12—58no—
309C2×D12—104no—
310C2×D12—104no—
311C2×D12—102no—
312C2×D12—102no—
313C2×D12—202no—
314C2×D12—202no—
315C2×D12C4×D514yescomplemented
316C2×C4×D3—24no—
317C2×C4×D3—24no—
318C2×C4×D3—42no—
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—202no—
322C3×C4⋊C4—102no—
323C3×C4⋊C4C22⋊D514yescomplemented
324C3×C42—54no—
325C3×C42—104no—
326(C2×D3)⋊C4—24no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—104no—
330(C2×D3)⋊C4—202no—
331(C2×D3)⋊C4—202no—
332C4⋊Dic3—54no—
333C4⋊Dic3—102no—
334C4×Dic3—22no—
335C4×Dic3—102no—
336C23×C5—34no—
337C23×C5—62no—
338C23×C5—62no—
339C23×C5—62no—
340C23×C5—62no—
341C23×C5—62no—
342C23×C5—62no—
343C23×C5C23×D311yescharacteristic
344C22×D5—34no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C22×D5—62no—
351C5×D4—68no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—32no—
355C2×C4×C5—61no—
356C2×C4×C5—61no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5—128no—
361C2×C4×C5C2×C4×D312yes—
362C2×C4×C5C2×D1214yes—
363C2×C4×C5C2×D1212yes—
364C2×C4×C5#23512yes—
365C22⋊D5—616no—
366C22⋊D5—128no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—32no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—61no—
376C2×Dic5—61no—
377C2×Dic5—61no—
378C2×Dic5C2×C4×D312yes—
379C2×Dic5C2×C4×D312yes—
380C2×Dic5D3×D412yes—
381C2×Dic5#23912yes—
382D20—68no—
383C4×D5—128no—
384C22×D4—31no—
385C22×D4—152no—
386C22×D4—152no—
387C22×D4—151no—
388C23×C4—32no—
389C23×C4—152no—
390#127—158no—
391C4×D4—64no—
392C4×D4—308no—
393C4×D4—304no—
394C2×C4⋊C4—51no—
395C2×C4⋊C4—151no—
396C2×C4⋊C4—151no—
397C2×C4⋊C4D3×D511yescharacteristic
398C2×C22⋊C4—32no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C22⋊C4—152no—
404C2×C42—31no—
405C2×C42—51no—
406C2×C42—52no—
407C2×C42—151no—
408#95—52no—
409#95—151no—
410#95—151no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5#51811yescharacteristic
414C2×C3×C5D4211yescharacteristic
415C2×C3×C5#55011yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55911yescharacteristic
418D15—44no—
419C5×D3—44no—
420C23×C3C23×D511yescharacteristic
421C22×D3—22no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—54no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3C2×C4×D514yes—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—52no—
438C2×C3×C4—52no—
439C2×C3×C4—52no—
440C2×C3×C4—52no—
441C2×C3×C4—101no—
442C2×C3×C4—101no—
443C2×C3×C4—102no—
444C2×C3×C4—102no—
445C2×C3×C4—102no—
446C2×C3×C4C2×C4×D512yes—
447C2×C3×C4#70912yes—
448C2×C3×C4C2×C22⋊D514yes—
449C2×C3×C4C2×C22⋊D512yes—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—52no—
456C2×Dic3—101no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—101no—
460C2×Dic3—101no—
461C2×Dic3D4×D512yes—
462D12—28no—
463D12—1016no—
464D12—108no—
465D12—208no—
466C4×D3—48no—
467C4×D3—208no—
468C22×C5—64no—
469C22×C5—64no—
470C22×C5—64no—
471C22×C5—122no—
472C22×C5—122no—
473C22×C5—122no—
474C22×C5—122no—
475C22×C5C22×C4×D311yescharacteristic
476C22×C5C22×D1211yescharacteristic
477C22×C5C2×#23511yescharacteristic
478C22×C5C2×D3×D411yescharacteristic
479C22×C5C2×#23911yescharacteristic
480C22×C5#100911yescharacteristic
481C22×C5#100911yescharacteristic
482C2×D5—64no—
483C2×D5—64no—
484C2×D5—64no—
485C2×D5—122no—
486C2×D5—122no—
487C2×D5—122no—
488C2×D5—122no—
489C4×C5—24no—
490C4×C5—62no—
491C4×C5—121no—
492C4×C5C4×D1214yescomplemented
493Dic5—22no—
494Dic5—42no—
495Dic5—62no—
496Dic5—121no—
497Dic5#89314yescomplemented
498C24—32no—
499C24—152no—
500C2×D4—34no—
501C2×D4—62no—
502C2×D4—62no—
503C2×D4—158no—
504C2×D4—158no—
505C2×D4—154no—
506C2×D4—304no—
507C2×D4—304no—
508C2×D4—302no—
509C2×D4—302no—
510C2×D4—602no—
511C2×D4—602no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—51no—
515C22×C4—51no—
516C22×C4—52no—
517C22×C4—64no—
518C22×C4—64no—
519C22×C4—122no—
520C22×C4—151no—
521C22×C4—151no—
522C22×C4—304no—
523C22×C4—304no—
524C22×C4—602no—
525C22×C4C2×D3×D512yes—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—102no—
528C4⋊C4—154no—
529C4⋊C4—302no—
530C4⋊C4#120314yescomplemented
531C22⋊C4—64no—
532C22⋊C4—304no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—602no—
536C22⋊C4—602no—
537C42—54no—
538C42—62no—
539C42—104no—
540C42—302no—
541C3×C5#236611yescharacteristic, complemented, Hall
542C22×C3C22×C4×D511yescharacteristic
543C22×C3C2×#70911yescharacteristic
544C22×C3C2×D4×D511yescharacteristic
545C22×C3#414411yescharacteristic
546C22×C3D5×#4111yescharacteristic
547C22×C3#414911yescharacteristic
548C22×C3C22×C22⋊D511yescharacteristic
549C2×D3—24no—
550C2×D3—24no—
551C2×D3—24no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3—202no—
563C3×C4—24no—
564C3×C4—54no—
565C3×C4—102no—
566C3×C4—202no—
567C3×C4C4×C22⋊D514yescomplemented
568Dic3—22no—
569Dic3—41no—
570Dic3—102no—
571Dic3—201no—
572C2×C5—124no—
573C2×C5C2×C4×D1211yescharacteristic
574C2×C5C2×#89311yescharacteristic
575C2×C5#552111yescharacteristic
576C2×C5D4×D1211yescharacteristic
577C2×C5#555311yescharacteristic
578C2×C5#557711yescharacteristic
579C2×C5#558511yescharacteristic
580D5—124no—
581C23—34no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—62no—
586C23—62no—
587C23—62no—
588C23—154no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23—302no—
595C23C22×D3×D511yescharacteristic
596D4—68no—
597D4—3016no—
598D4—308no—
599D4—608no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—32no—
603C2×C4—52no—
604C2×C4—52no—
605C2×C4—52no—
606C2×C4—52no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—61no—
611C2×C4—61no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—102no—
617C2×C4—128no—
618C2×C4—152no—
619C2×C4—301no—
620C2×C4—301no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—608no—
625C2×C4#677112yes—
626C2×C4C4×D3×D512yes—
627C2×C4C2×#120314yes—
628C2×C4C2×#120312yes—
629C2×C3C4×D4×D511yescharacteristic
630C2×C3#6587911yescharacteristic
631C2×C3#6588711yescharacteristic
632C2×C3#6589311yescharacteristic
633C2×C3C2×C4×C22⋊D511yescharacteristic
634C2×C3D4×C22⋊D511yescharacteristic
635C2×C3#6616811yescharacteristic
636D3—44no—
637D3—204no—
638C5#7365311yescharacteristic, complemented, Sylow
639C22—64no—
640C22—64no—
641C22—64no—
642C22—122no—
643C22—122no—
644C22—122no—
645C22—122no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22C2×#677111yescharacteristic
654C22C2×C4×D3×D511yescharacteristic
655C22D3×D4×D511yescharacteristic
656C22#9202711yescharacteristic
657C22D5×#23911yescharacteristic
658C22#9203511yescharacteristic
659C22C22×#120311yescharacteristic
660C4—24no—
661C4—54no—
662C4—62no—
663C4—102no—
664C4—121no—
665C4—202no—
666C4—302no—
667C4—601no—
668C4C4×#120314yescomplemented
669C3#1061407411yescharacteristic, complemented, Sylow
670C2—124no—
671C2—604no—
672C2#1175368711yescharacteristic
673C2#1175374511yescharacteristic
674C2D5×#89311yescharacteristic
675C2#1175383711yescharacteristic
676C2C2×C4×#120311yescharacteristic
677C2D4×#120311yescharacteristic
678C2#1175524511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91451C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5#2366
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#91782C2semidirect
2. C2×C5×#893C2semidirect
4. C2×C4×#1203C2semidirect
5. C3×C4⋊C4×Dic5C2semidirect
6. #11748918C2semidirect
7. #11748914C2semidirect
8. #11748908C2semidirect
9. C4×#6668C2semidirect
10. #11748797C2semidirect
11. #11748789C2semidirect
35. #91451C4semidirect
47. C4⋊C4×Dic5D3semidirect
60. C2×D60C2×C4semidirect
68. C2×C5×D12C2×C4semidirect
79. C2×#1203C2×C4semidirect
80. C2×#1203C2×C4semidirect
81. C3×C5×C4⋊C4D4semidirect
88. C3×C4×Dic5C2×C4semidirect
90. #6668D4semidirect
96. C2×#893D5semidirect
238. C5×C4⋊C4D12semidirect
251. C4×Dic5C4×D3semidirect
285. C3×C4×C5C4×D4semidirect
290. C3×Dic5C4×D4semidirect
315. C2×D12C4×D5semidirect
323. C3×C4⋊C4C22⋊D5semidirect
492. C4×C5C4×D12semidirect
497. Dic5#893semidirect
530. C4⋊C4#1203semidirect
541. C3×C5#2366semidirect
567. C3×C4C4×C22⋊D5semidirect
638. C5#73653semidirect
668. C4C4×#1203semidirect
669. C3#10614074semidirect

Maximal subgroups

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

subgroupindex
C2×#917822
C2×C5×#8932
C2×#914512
C2×C4×#12032
C3×C4⋊C4×Dic52
#117489182
#117489142
#117489082
C4×#66682
#117487972
#117487892
#106140743
#736535