Finite Group Databasebeta

← C4×#91559 #14319582

Subgroups — C4×#91559 #14319582

Order 1920.

1848 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic15C211yesmaximal, characteristic, complemented
2C2×C3×C4×C22⋊D5C211yesmaximal, characteristic
3C2×#91559C212yesmaximal
4C2×C4×D5×Dic3C211yesmaximal, characteristic, complemented
5C4×C5×#217C211yesmaximal, characteristic, complemented
6#11749487C212yesmaximal, complemented
7#11748884C212yesmaximal, complemented
8C4×#6668C211yesmaximal, characteristic, complemented
9C4×#6665C211yesmaximal, characteristic, complemented
10#11748637C212yesmaximal, complemented
11C4×Dic3×Dic5C211yesmaximal, characteristic, complemented
12C4×#4027—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C23×Dic15C2212yes—
15C22×C3×C22⋊D5C2211yescharacteristic
16C22×C3×C4×D5C2211yescharacteristic
17C22×D5×Dic3C2212yes—
18C2×C4×Dic15—24no—
19C2×C4×Dic15C2212yes—
20C2×C4×Dic15C2211yescharacteristic
21C2×C4×Dic15C2211yescharacteristic
22C2×C5×#217C2212yes—
23C2×C4×C5×Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C3×C22⋊Dic5C2211yescharacteristic
26C3×C4×C22⋊D5C418yescomplemented
27C2×C3×#685C2211yescharacteristic
28C2×C3×#683C2211yescharacteristic
29C2×C3×C4×Dic5C2211yescharacteristic
30#91559C4116yesdirect product factor
31C2×#6668C2212yes—
32C2×#6665C2212yes—
33C2×Dic3×Dic5C2212yes—
34C2×Dic3×Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36C4×D5×Dic3—24no—
37C5×C3⋊#95C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40C4×D4×Dic3—51nomaximal, Hall
41C2×C4×C22⋊D5D311yescharacteristic
42C22×C4×Dic5—31no—
43C2×#4027—32no—
44C2×C42×D5—31no—
45C4×C5×C22⋊C4—31no—
46C22⋊C4×Dic5—32no—
47C4×#685—31no—
48C4×#683—31no—
49C42×Dic5—31no—
50#64955—32no—
51#64938—32no—
52C24×C3×C5C2311yescharacteristic
53C23×C3×D5C2311yescharacteristic
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5—22no—
56C22×C3×C4×C5C2×C414yescomplemented
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15—24no—
60C22×Dic15—24no—
61C22×Dic15C2×C418yescomplemented
62C22×Dic15C2312yes—
63C22×Dic15C2312yes—
64C22×C5×Dic3C2312yes—
65C22×C5×Dic3C2312yes—
66C2×C3×C22⋊D5C2×C418yes—
67C2×C3×C22⋊D5C2×C414yes—
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2311yescharacteristic
70C22×C3×Dic5C2311yescharacteristic
71C2×C3×C4×D5—22no—
72C2×C3×C4×D5—22no—
73C2×C3×C4×D5C2×C414yescomplemented
74C2×D5×Dic3—24no—
75C2×D5×Dic3—24no—
76C2×D5×Dic3C2×C418yescomplemented
77C4×Dic15—22no—
78C4×Dic15—24no—
79C4×Dic15D414yescomplemented
80C5×#217C2×C418yescomplemented
81C4×C5×Dic3—22no—
82C4×C5×Dic3—22no—
83C3×C22⋊Dic5C2×C414yescomplemented
84C3×#685C2×C414yescomplemented
85C3×#683C2×C414yescomplemented
86C3×C4×Dic5C2×C414yescomplemented
87#6668C2×C418yescomplemented
88#6665C2×C418yescomplemented
89Dic3×Dic5—24no—
90Dic3×Dic5—24no—
91Dic3×Dic5C2×C418yescomplemented
92C2×C3×C4×D4—51no—
93C2×D4×Dic3—52no—
94C22×C4×Dic3—51no—
95C22×C4×Dic3—51no—
96C4×#217—51no—
97C4×#217D511yescharacteristic, complemented
98Dic3×C4⋊C4—52no—
99Dic3×C22⋊C4—52no—
100Dic3×C22⋊C4—52no—
101C4×C4⋊Dic3—51no—
102C42×Dic3—51no—
103C23×C4×C5C2×D311yescharacteristic
104C22×C22⋊D5C2×D311yescharacteristic
105C23×Dic5—32no—
106C22×C4×D5—32no—
107C22×C4×D5C2×D311yescharacteristic
108C2×C5×C22⋊C4—32no—
109C2×C42×C5—31no—
110C2×C42×C5—31no—
111C2×C22⋊Dic5C2×D311yescharacteristic
112C4×C22⋊D5Dic318yescomplemented
113C2×#685—32no—
114C2×#685C2×D311yescharacteristic
115C2×#683—32no—
116C2×#683C2×D311yescharacteristic
117C2×C4×Dic5—31no—
118C2×C4×Dic5—32no—
119C2×C4×Dic5—32no—
120C2×C4×Dic5—31no—
121C2×C4×Dic5—32no—
122C2×C4×Dic5—32no—
123C2×C4×Dic5—64no—
124C2×C4×Dic5C2×D311yescharacteristic
125#4027—316no—
126C42×D5—64no—
127C5×#95—32no—
128#3963—32no—
129#3963—32no—
130C42×D4—151noSylow
131C23×C3×C5—21no—
132C23×C3×C5—22no—
133C23×C3×C5—21no—
134C23×C3×C5C22×C414yes—
135C23×C3×C5C22×C412yes—
136C23×C3×C5C2411yescharacteristic
137C22×C3×D5—21no—
138C22×C3×D5—22no—
139C22×C3×D5—21no—
140C22×C3×D5C22×C414yes—
141C22×C3×D5C22×C412yes—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—28no—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×C4×C5C2×D412yes—
148C2×C3×C4×C5#4112yes—
149C2×Dic15—22no—
150C2×Dic15—22no—
151C2×Dic15—216no—
152C2×Dic15C22×C414yes—
153C2×Dic15C22×C414yes—
154C2×Dic15C2×D414yes—
155C2×Dic15#4114yes—
156C2×C5×Dic3—22no—
157C2×C5×Dic3—22no—
158C2×C5×Dic3—22no—
159C2×C5×Dic3—22no—
160C2×C5×Dic3C22×C414yes—
161C2×C5×Dic3C22×C414yes—
162C3×C22⋊D5C42116yescomplemented
163C2×C3×Dic5—21no—
164C2×C3×Dic5—22no—
165C2×C3×Dic5—21no—
166C2×C3×Dic5C22×C412yes—
167C2×C3×Dic5C22×C412yes—
168C2×C3×Dic5C22×C414yes—
169C2×C3×Dic5C22×C412yes—
170C3×C4×D5—28no—
171D5×Dic3—216no—
172C22×C3×D4—51no—
173C23×C3×C4—51no—
174C23×C3×C4C2×D511yescharacteristic
175C23×Dic3—52no—
176C23×Dic3—52no—
177C3×C4×D4—58no—
178C2×C3×C4⋊C4—51no—
179C2×C3×C22⋊C4—51no—
180C2×C3×C22⋊C4—51no—
181C2×C3×C42—51no—
182C2×#217—52no—
183C2×#217C2×D512yes—
184D4×Dic3—516no—
185C2×C4⋊Dic3—52no—
186C2×C4×Dic3—51no—
187C2×C4×Dic3—52no—
188C2×C4×Dic3—51no—
189C2×C4×Dic3—52no—
190C2×C4×Dic3—52no—
191C2×C4×Dic3—52no—
192C2×C4×Dic3—104no—
193C2×C4×Dic3—104no—
194C2×C4×Dic3C2×D511yescharacteristic
195C2×C4×Dic3C2×D511yescharacteristic
196C3⋊#95—52no—
197C3⋊#95—52no—
198C3⋊#95C2×D512yes—
199C24×C5C22×D311yescharacteristic
200C23×D5C22×D311yescharacteristic
201C22×C4×C5—22no—
202C22×C4×C5—22no—
203C22×C4×C5—32no—
204C22×C4×C5—32no—
205C22×C4×C5C2×Dic314yescomplemented
206C22×C4×C5C22×D311yescharacteristic
207C22×C4×C5C22×D311yescharacteristic
208C2×C22⋊D5C4×D318yes—
209C2×C22⋊D5C2×Dic314yes—
210C22×Dic5—32no—
211C22×Dic5—38no—
212C22×Dic5—32no—
213C22×Dic5—64no—
214C22×Dic5—64no—
215C22×Dic5C22×D311yescharacteristic
216C22×Dic5C22×D311yescharacteristic
217C22×Dic5C22×D311yescharacteristic
218C2×C4×D5—22no—
219C2×C4×D5—22no—
220C2×C4×D5—38no—
221C2×C4×D5—64no—
222C2×C4×D5—64no—
223C2×C4×D5C2×Dic314yescomplemented
224C5×C22⋊C4—38no—
225C42×C5—62no—
226C42×C5—62no—
227C22⋊Dic5C2×Dic314yescomplemented
228#685—38no—
229#685C2×Dic314yescomplemented
230#683—38no—
231#683C2×Dic314yescomplemented
232C4×Dic5—34no—
233C4×Dic5—38no—
234C4×Dic5—64no—
235C4×Dic5—64no—
236C4×Dic5—64no—
237C4×Dic5—62no—
238C4×Dic5C2×Dic314yescomplemented
239C2×C4×D4—51no—
240C2×C4×D4—152no—
241C22×C42—151no—
242C22×C42—151no—
243C4×C4⋊C4—152no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—31no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—151no—
248C4×C22⋊C4—152no—
249C43—151no—
250C22×C3×C5—24no—
251C22×C3×C5—22no—
252C22×C3×C5—22no—
253C22×C3×C5—24no—
254C22×C3×C5C2×C4214yescomplemented
255C22×C3×C5C23×C412yes—
256C22×C3×C5C23×C411yescharacteristic
257C22×C3×C5C22×D411yescharacteristic
258C22×C3×C5C2×#4111yescharacteristic
259C22×C3×C5C2×#4112yes—
260C2×C3×D5—24no—
261C2×C3×D5—22no—
262C2×C3×D5—22no—
263C2×C3×D5—24no—
264C2×C3×D5C2×C4214yescomplemented
265C3×C4×C5—22no—
266C3×C4×C5C4×D414yescomplemented
267Dic15—24no—
268Dic15C4×D418yescomplemented
269C3×Dic5—22no—
270C3×Dic5—22no—
271C3×Dic5C2×C4214yescomplemented
272C5×Dic3—24no—
273C5×Dic3—24no—
274C24×C3—51no—
275C24×C3C22×D511yescharacteristic
276C2×C3×D4—58no—
277C2×C3×D4—54no—
278C22×C3×C4—22no—
279C22×C3×C4—22no—
280C22×C3×C4—51no—
281C22×C3×C4—51no—
282C22×C3×C4—51no—
283C22×C3×C4—54no—
284C22×C3×C4—102no—
285C22×C3×C4—102no—
286C22×C3×C4C4×D514yescomplemented
287C22×C3×C4C22×D511yescharacteristic
288C22×C3×C4C22×D511yescharacteristic
289C22×Dic3—52no—
290C22×Dic3—58no—
291C22×Dic3—52no—
292C22×Dic3—58no—
293C22×Dic3—104no—
294C22×Dic3—104no—
295C22×Dic3—104no—
296C22×Dic3—104no—
297C22×Dic3C22×D512yes—
298C22×Dic3C22×D512yes—
299C3×C4⋊C4—54no—
300C3×C22⋊C4—54no—
301C3×C22⋊C4—54no—
302C3×C42—54no—
303#217—58no—
304#217C4×D518yescomplemented
305C4⋊Dic3—58no—
306C4×Dic3—22no—
307C4×Dic3—22no—
308C4×Dic3—54no—
309C4×Dic3—58no—
310C4×Dic3—104no—
311C4×Dic3—104no—
312C4×Dic3—104no—
313C4×Dic3—102no—
314C23×C5—21no—
315C23×C5—21no—
316C23×C5—22no—
317C23×C5C2×C4×D314yes—
318C23×C5C22×Dic312yes—
319C23×C5C23×D311yescharacteristic
320C22×D5—21no—
321C22×D5—21no—
322C22×D5—22no—
323C22×D5C2×C4×D314yes—
324C22×D5C22×Dic312yes—
325C2×C4×C5—21no—
326C2×C4×C5—21no—
327C2×C4×C5—28no—
328C2×C4×C5—34no—
329C2×C4×C5—34no—
330C2×C4×C5—62no—
331C2×C4×C5—62no—
332C2×C4×C5—62no—
333C2×C4×C5—62no—
334C2×C4×C5D3×D412yes—
335C2×C4×C5#23712yes—
336C2×C4×C5C22×Dic312yes—
337C2×C4×C5C22×Dic312yes—
338C22⋊D5C4×Dic3116yescomplemented
339C2×Dic5—21no—
340C2×Dic5—21no—
341C2×Dic5—22no—
342C2×Dic5—34no—
343C2×Dic5—34no—
344C2×Dic5—34no—
345C2×Dic5—34no—
346C2×Dic5—616no—
347C2×Dic5—62no—
348C2×Dic5—62no—
349C2×Dic5C2×C4×D314yes—
350C2×Dic5C22×Dic312yes—
351C2×Dic5C22×Dic312yes—
352C2×Dic5C22×Dic312yes—
353C4×D5—28no—
354C4×D5—616no—
355C22×D4—51no—
356C23×C4—51no—
357C23×C4—152no—
358C23×C4—152no—
359C23×C4D3×D511yescharacteristic
360C4×D4—58no—
361C4×D4—1516no—
362C2×C4⋊C4—51no—
363C2×C4⋊C4—152no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—51no—
366C2×C22⋊C4—51no—
367C2×C22⋊C4—152no—
368C2×C42—31no—
369C2×C42—31no—
370C2×C42—51no—
371C2×C42—152no—
372C2×C42—151no—
373C2×C42—152no—
374C2×C42—152no—
375C2×C42—152no—
376C2×C42—151no—
377C2×C42—304no—
378C2×C42—304no—
379#95—32no—
380#95—152no—
381#95—152no—
382C2×C3×C5—24no—
383C2×C3×C5C22×C4211yescharacteristic
384C2×C3×C5C2×C4×D411yescharacteristic
385C2×C3×C5C2×C4×D412yes—
386C2×C3×C5C4×#4111yescharacteristic
387C2×C3×C5C4×#4112yes—
388C3×D5—24no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—22no—
392C23×C3—54no—
393C23×C3—52no—
394C23×C3—101no—
395C23×C3—101no—
396C23×C3—102no—
397C23×C3C2×C4×D514yes—
398C23×C3C2×C4×D512yes—
399C23×C3C23×D511yescharacteristic
400C3×D4—516no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—28no—
404C2×C3×C4—54no—
405C2×C3×C4—52no—
406C2×C3×C4—52no—
407C2×C3×C4—52no—
408C2×C3×C4—101no—
409C2×C3×C4—101no—
410C2×C3×C4—102no—
411C2×C3×C4—108no—
412C2×C3×C4C2×C4×D512yes—
413C2×C3×C4C2×C4×D512yes—
414C2×C3×C4D4×D512yes—
415C2×C3×C4#71112yes—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—54no—
421C2×Dic3—54no—
422C2×Dic3—54no—
423C2×Dic3—54no—
424C2×Dic3—1016no—
425C2×Dic3—1016no—
426C2×Dic3—102no—
427C2×Dic3—102no—
428C2×Dic3C2×C4×D514yes—
429C2×Dic3C2×C4×D514yes—
430C22×C5—24no—
431C22×C5—22no—
432C22×C5—24no—
433C22×C5—22no—
434C22×C5C2×C4×Dic314yescomplemented
435C22×C5C22×C4×D312yes—
436C22×C5C2×D3×D411yescharacteristic
437C22×C5C2×#23711yescharacteristic
438C22×C5D3×#4112yes—
439C22×C5C23×Dic311yescharacteristic
440C2×D5—24no—
441C2×D5—22no—
442C2×D5—24no—
443C2×D5—22no—
444C2×D5C2×C4×Dic314yescomplemented
445C4×C5—22no—
446C4×C5—64no—
447C4×C5—64no—
448C4×C5D4×Dic314yescomplemented
449Dic5—22no—
450Dic5—22no—
451Dic5—38no—
452Dic5—64no—
453Dic5C2×C4×Dic314yescomplemented
454C24—51no—
455C24C2×D3×D511yescharacteristic
456C2×D4—58no—
457C2×D4—54no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—32no—
461C22×C4—32no—
462C22×C4—51no—
463C22×C4—51no—
464C22×C4—51no—
465C22×C4—54no—
466C22×C4—102no—
467C22×C4—102no—
468C22×C4—158no—
469C22×C4—152no—
470C22×C4—158no—
471C22×C4—152no—
472C22×C4—304no—
473C22×C4—304no—
474C22×C4—304no—
475C22×C4—304no—
476C22×C4D5×Dic314yescomplemented
477C22×C4C2×D3×D511yescharacteristic
478C22×C4C2×D3×D511yescharacteristic
479C4⋊C4—54no—
480C4⋊C4—158no—
481C22⋊C4—38no—
482C22⋊C4—54no—
483C22⋊C4—54no—
484C22⋊C4—158no—
485C42—54no—
486C42—62no—
487C42—62no—
488C42—158no—
489C42—154no—
490C42—304no—
491C42—304no—
492C42—304no—
493C42—302no—
494C3×C5C42×D411yescharacteristic, complemented, Hall
495C22×C3—22no—
496C22×C3—22no—
497C22×C3—24no—
498C22×C3—24no—
499C22×C3—54no—
500C22×C3—102no—
501C22×C3—102no—
502C22×C3—104no—
503C22×C3—104no—
504C22×C3C42×D514yescomplemented
505C22×C3C22×C4×D512yes—
506C22×C3C22×C4×D511yescharacteristic
507C22×C3C2×D4×D511yescharacteristic
508C22×C3C2×#71111yescharacteristic
509C22×C3D5×#4112yes—
510C3×C4—22no—
511C3×C4—54no—
512C3×C4—102no—
513C3×C4—102no—
514C3×C4#402714yescomplemented
515Dic3—24no—
516Dic3—24no—
517Dic3—58no—
518Dic3—104no—
519C2×C5—24no—
520C2×C5C4×#23712yes—
521C2×C5C4×D3×D412yes—
522C2×C5C22×C4×Dic311yescharacteristic
523C2×C5C2×D4×Dic311yescharacteristic
524C2×C5Dic3×#4111yescharacteristic
525D5—24no—
526C23—22no—
527C23—21no—
528C23—21no—
529C23—54no—
530C23—52no—
531C23—102no—
532C23—101no—
533C23—101no—
534C23C4×D3×D514yes—
535C23C2×D5×Dic312yes—
536C23C22×D3×D511yescharacteristic
537D4—516no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—28no—
541C2×C4—34no—
542C2×C4—34no—
543C2×C4—54no—
544C2×C4—52no—
545C2×C4—52no—
546C2×C4—52no—
547C2×C4—62no—
548C2×C4—62no—
549C2×C4—62no—
550C2×C4—62no—
551C2×C4—102no—
552C2×C4—101no—
553C2×C4—101no—
554C2×C4—108no—
555C2×C4—154no—
556C2×C4—154no—
557C2×C4—154no—
558C2×C4—154no—
559C2×C4—3016no—
560C2×C4—3016no—
561C2×C4—302no—
562C2×C4—302no—
563C2×C4C2×D5×Dic312yes—
564C2×C4C2×D5×Dic312yes—
565C2×C4#678012yes—
566C2×C4#679012yes—
567C2×C3—24no—
568C2×C3—104no—
569C2×C3C2×C42×D511yescharacteristic
570C2×C3C2×#402711yescharacteristic
571C2×C3#6585611yescharacteristic
572C2×C3C4×#71112yes—
573C2×C3C4×D4×D512yes—
574C5C4×D4×Dic311yescharacteristic, complemented, Sylow
575C22—24no—
576C22—24no—
577C22—22no—
578C22—22no—
579C22—54no—
580C22—104no—
581C22—104no—
582C22—102no—
583C22—102no—
584C22C4×D5×Dic314yescomplemented
585C22C2×C4×D3×D512yes—
586C22#9201612yes—
587C22C22×D5×Dic311yescharacteristic
588C22C2×#678011yescharacteristic
589C22C2×#679011yescharacteristic
590C4—22no—
591C4—54no—
592C4—64no—
593C4—64no—
594C4—102no—
595C4—102no—
596C4—158no—
597C4—304no—
598C4#9155914yesdirect product factor
599C3C4×#402711yescharacteristic, complemented, Sylow
600C2—24no—
601C2—104no—
602C2C2×C4×D5×Dic311yescharacteristic
603C2C4×#678012yes—
604C2#1175444411yescharacteristic
605C2C4×#679012yes—
606C2C2×#9155911yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC2×C3×C5C22×C42
FrattiniC23C22×D3×D5
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C3×C22⋊D5C22
hypercenterC23×C4D3×D5
hypocenterC3×C5C42×D4
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4×Dic15C2semidirect
4. C2×C4×D5×Dic3C2semidirect
5. C4×C5×#217C2semidirect
6. #11749487C2semidirect
7. #11748884C2semidirect
8. C4×#6668C2semidirect
9. C4×#6665C2semidirect
10. #11748637C2semidirect
11. C4×Dic3×Dic5C2semidirect
26. C3×C4×C22⋊D5C4semidirect
30. #91559C4direct (N × H)
56. C22×C3×C4×C5C2×C4semidirect
61. C22×Dic15C2×C4semidirect
73. C2×C3×C4×D5C2×C4semidirect
76. C2×D5×Dic3C2×C4semidirect
79. C4×Dic15D4semidirect
80. C5×#217C2×C4semidirect
83. C3×C22⋊Dic5C2×C4semidirect
84. C3×#685C2×C4semidirect
85. C3×#683C2×C4semidirect
86. C3×C4×Dic5C2×C4semidirect
87. #6668C2×C4semidirect
88. #6665C2×C4semidirect
91. Dic3×Dic5C2×C4semidirect
97. C4×#217D5semidirect
112. C4×C22⋊D5Dic3semidirect
162. C3×C22⋊D5C42semidirect
205. C22×C4×C5C2×Dic3semidirect
223. C2×C4×D5C2×Dic3semidirect
227. C22⋊Dic5C2×Dic3semidirect
229. #685C2×Dic3semidirect
231. #683C2×Dic3semidirect
238. C4×Dic5C2×Dic3semidirect
254. C22×C3×C5C2×C42semidirect
264. C2×C3×D5C2×C42semidirect
266. C3×C4×C5C4×D4semidirect
268. Dic15C4×D4semidirect
271. C3×Dic5C2×C42semidirect
286. C22×C3×C4C4×D5semidirect
304. #217C4×D5semidirect
338. C22⋊D5C4×Dic3semidirect
434. C22×C5C2×C4×Dic3semidirect
444. C2×D5C2×C4×Dic3semidirect
448. C4×C5D4×Dic3semidirect
453. Dic5C2×C4×Dic3semidirect
476. C22×C4D5×Dic3semidirect
494. C3×C5C42×D4semidirect
504. C22×C3C42×D5semidirect
514. C3×C4#4027semidirect
574. C5C4×D4×Dic3semidirect
584. C22C4×D5×Dic3semidirect
598. C4#91559direct (N × H)
599. C3C4×#4027semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic152
C2×C3×C4×C22⋊D52
C2×#915592
C2×C4×D5×Dic32
C4×C5×#2172
#117494872
#117488842
C4×#66682
C4×#66652
#117486372
C4×Dic3×Dic52
C4×#40273
C4×D4×Dic35