Finite Group Databasebeta

← C2×C4×D5×Dic6 #14478858

Subgroups — C2×C4×D5×Dic6 #14478858

Order 1920.

3328 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D5×Dic6C211yesmaximal, characteristic
2C2×C4×Dic30C211yesmaximal, characteristic, complemented
3C2×C4×C5×Dic6C211yesmaximal, characteristic, complemented
4C2×C3×C42×D5C211yesmaximal, characteristic
5C2×C4×#1204C212yesmaximal, complemented
6C2×D5×C4⋊Dic3C211yesmaximal, characteristic
7C2×D5×Dic3⋊C4C212yesmaximal
8C2×C4×D5×Dic3C212yesmaximal
9C2×#91333C211yesmaximal, characteristic, complemented
10C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
11C2×#91323C212yesmaximal, complemented
12C4×D5×Dic6C2116yesmaximal, direct product factor
13C2×C4×Q8×D5—31nomaximal, Hall
14C22×Dic30C2211yescharacteristic
15C22×C5×Dic6C2211yescharacteristic
16C22×C3×C4×D5C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×#1204C2212yes—
20C22×D5×Dic3C2212yes—
21C22×D5×Dic3C2212yes—
22C2×D5×Dic6C4116yesdirect product factor
23C2×D5×Dic6C2218yes—
24C2×C3×C42×C5C2211yescharacteristic
25C2×C4⋊Dic15C2211yescharacteristic
26C2×#6712C2212yes—
27C2×C4×Dic15C2212yes—
28C4×Dic30C2218yescomplemented
29C2×C5×C4⋊Dic3C2211yescharacteristic
30C2×C5×Dic3⋊C4C2212yes—
31C2×C4×C5×Dic3C2212yes—
32C4×C5×Dic6C2218yescomplemented
33C2×C3×C4×Dic5C2211yescharacteristic
34C2×C3×C4×Dic5C2211yescharacteristic
35C2×C3×C4×Dic5C2211yescharacteristic
36C3×C42×D5C2218yes—
37C2×Dic3⋊Dic5C2212yes—
38C2×#6669C2212yes—
39C2×#6668C2212yes—
40C2×Dic3×Dic5C2212yes—
41C2×Dic3×Dic5C2212yes—
42C4×#1204C22116yescomplemented
43D5×C4⋊Dic3C2218yes—
44D5×Dic3⋊C4C22116yes—
45C4×D5×Dic3C22116yes—
46#91333C2218yescomplemented
47Dic5×Dic6C2218yescomplemented
48#91323C22116yescomplemented
49C22×C4×Dic6—51nomaximal, Hall
50C22×Q8×D5—31no—
51C2×C4×C5×Q8—31no—
52C2×Q8×Dic5—31no—
53C4×Q8×D5—316no—
54C2×D5×C4⋊C4—32no—
55C2×D5×C4⋊C4—31no—
56C2×#4033—32no—
57C2×#4033—31no—
58C2×C42×D5—32no—
59C2×C42×D5D311yescharacteristic
60C2×C4×Dic10—32no—
61C2×C4×Dic10—31no—
62C23×C3×D5C2311yescharacteristic
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×Dic15C2312yes—
67C22×Dic15C2312yes—
68C2×Dic30C2×C418yescomplemented
69C2×Dic30C2314yes—
70C22×C5×Dic3C2312yes—
71C22×C5×Dic3C2312yes—
72C2×C5×Dic6C2×C418yescomplemented
73C2×C5×Dic6C2314yes—
74C22×C3×Dic5C2311yescharacteristic
75C22×C3×Dic5C2311yescharacteristic
76C22×C3×Dic5C2311yescharacteristic
77C2×C3×C4×D5—24no—
78C2×C3×C4×D5C2×C418yes—
79C2×C3×C4×D5Q818yescomplemented
80C2×C3×C4×D5C2314yes—
81C2×C3×C4×D5C2314yes—
82C2×C3×C4×D5C2314yes—
83C2×#1204C2×C4116yescomplemented
84C2×#1204C2318yes—
85C2×D5×Dic3—28no—
86C2×D5×Dic3C2×C4116yes—
87C2×D5×Dic3C2318yes—
88C2×D5×Dic3C2318yes—
89D5×Dic6C2×C4164yesdirect product factor
90C3×C42×C5C2314yes—
91C4⋊Dic15C2314yes—
92#6712C2318yes—
93C4×Dic15C2318yes—
94C5×C4⋊Dic3C2314yes—
95C5×Dic3⋊C4C2318yes—
96C4×C5×Dic3C2318yes—
97C3×C4×Dic5C2314yes—
98C3×C4×Dic5C2314yes—
99C3×C4×Dic5C2314yes—
100Dic3⋊Dic5C2318yes—
101#6669C2318yes—
102#6668C2318yes—
103Dic3×Dic5C2318yes—
104Dic3×Dic5C2318yes—
105C23×Dic6—51no—
106C22×C3×C42—51no—
107C22×C4⋊Dic3—51no—
108C22×Dic3⋊C4—52no—
109C22×C4×Dic3—52no—
110C2×C4×Dic6—51no—
111C2×C4×Dic6—51no—
112C2×C4×Dic6—51no—
113C2×C4×Dic6—52no—
114C2×C4×Dic6—52no—
115C2×C4×Dic6—516no—
116C2×C4×Dic6D511yescharacteristic, direct product factor
117C22×C5×Q8—31no—
118C2×Q8×D5—316no—
119C2×Q8×D5—38no—
120C22×C4×D5—32no—
121C22×C4×D5—32no—
122C22×C4×D5C2×D311yescharacteristic
123C22×C4×D5C2×D311yescharacteristic
124C22×C4×D5C2×D311yescharacteristic
125C22×Dic10—31no—
126C22×Dic10—32no—
127C4×C5×Q8—38no—
128C2×C5×C4⋊C4—32no—
129C2×C5×C4⋊C4—31no—
130C2×C42×C5—32no—
131C2×C42×C5C2×D311yescharacteristic
132Q8×Dic5—38no—
133C2×C4⋊Dic5—31no—
134C2×C4⋊Dic5—32no—
135C2×#683—32no—
136C2×#683—32no—
137C2×#683—32no—
138C2×C4×Dic5—32no—
139C2×C4×Dic5—32no—
140C2×C4×Dic5—32no—
141C2×C4×Dic5C2×D311yescharacteristic
142C2×C4×Dic5C2×D311yescharacteristic
143C2×C4×Dic5C2×D311yescharacteristic
144D5×C4⋊C4—316no—
145D5×C4⋊C4—38no—
146#4033—316no—
147#4033—38no—
148C42×D5—316no—
149C42×D5C2×D318yes—
150C4×Dic10—38no—
151C4×Dic10—316no—
152C22×C4×Q8—151noSylow
153C23×C3×C5C2411yescharacteristic
154C22×C3×D5C22×C414yes—
155C22×C3×D5C2×Q814yes—
156C22×C3×D5#4114yes—
157C22×C3×D5C2412yes—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5C22×C414yes—
160C2×C3×C4×C5C2×Q814yescomplemented
161C2×C3×C4×C5C2412yes—
162C2×C3×C4×C5C2412yes—
163C2×C3×C4×C5C2412yes—
164C2×Dic15—24no—
165C2×Dic15C22×C418yes—
166C2×Dic15C2414yes—
167C2×Dic15C2414yes—
168Dic30C22×C4116yescomplemented
169C2×C5×Dic3—24no—
170C2×C5×Dic3C22×C418yes—
171C2×C5×Dic3C2414yes—
172C2×C5×Dic3C2414yes—
173C5×Dic6C22×C4116yescomplemented
174C2×C3×Dic5—22no—
175C2×C3×Dic5C22×C414yes—
176C2×C3×Dic5C2×Q814yescomplemented
177C2×C3×Dic5C2412yes—
178C2×C3×Dic5C2412yes—
179C2×C3×Dic5C2412yes—
180C3×C4×D5—28no—
181C3×C4×D5C22×C4116yes—
182C3×C4×D5C2×Q8116yescomplemented
183#1204C22×C4132yescomplemented
184D5×Dic3—216no—
185D5×Dic3C22×C4132yes—
186C23×C3×C4—51no—
187C23×C3×C4—51no—
188C23×C3×C4—51no—
189C23×Dic3—52no—
190C23×Dic3—52no—
191C22×Dic6—51no—
192C22×Dic6—52no—
193C22×Dic6—516no—
194C22×Dic6—58no—
195C22×Dic6C2×D511yescharacteristic
196C2×C3×C42—51no—
197C2×C3×C42—51no—
198C2×C3×C42—51no—
199C2×C3×C42—58no—
200C2×C3×C42C2×D511yescharacteristic
201C2×C4⋊Dic3—51no—
202C2×C4⋊Dic3—52no—
203C2×C4⋊Dic3—58no—
204C2×C4⋊Dic3C2×D511yescharacteristic
205C2×Dic3⋊C4—52no—
206C2×Dic3⋊C4—52no—
207C2×Dic3⋊C4—52no—
208C2×Dic3⋊C4—516no—
209C2×Dic3⋊C4C2×D512yes—
210C2×C4×Dic3—52no—
211C2×C4×Dic3—52no—
212C2×C4×Dic3—52no—
213C2×C4×Dic3—516no—
214C2×C4×Dic3C2×D512yes—
215C4×Dic6—58no—
216C4×Dic6—58no—
217C4×Dic6—58no—
218C4×Dic6—516no—
219C4×Dic6—516no—
220C4×Dic6C2×D518yesdirect product factor
221C23×D5C22×D311yescharacteristic
222C2×C5×Q8—38no—
223C2×C5×Q8—34no—
224C22×C4×C5—32no—
225C22×C4×C5—32no—
226C22×C4×C5C22×D311yescharacteristic
227C22×C4×C5C22×D311yescharacteristic
228C22×C4×C5C22×D311yescharacteristic
229C22×Dic5—32no—
230C22×Dic5—32no—
231C22×Dic5C22×D311yescharacteristic
232C22×Dic5C22×D311yescharacteristic
233C22×Dic5C22×D311yescharacteristic
234Q8×D5—364no—
235C2×C4×D5—24no—
236C2×C4×D5—316no—
237C2×C4×D5—38no—
238C2×C4×D5—38no—
239C2×C4×D5—68no—
240C2×C4×D5Dic618yesdirect product factor
241C2×C4×D5C4×D318yes—
242C2×C4×D5C22×D314yes—
243C2×C4×D5C22×D314yes—
244C2×C4×D5C22×D314yes—
245C2×Dic10—38no—
246C2×Dic10—34no—
247C2×Dic10—316no—
248C2×Dic10—38no—
249C5×C4⋊C4—38no—
250C5×C4⋊C4—34no—
251C42×C5—38no—
252C42×C5C22×D314yes—
253C4⋊Dic5—34no—
254C4⋊Dic5—38no—
255#683—38no—
256#683—38no—
257#683—38no—
258C4×Dic5—38no—
259C4×Dic5—38no—
260C4×Dic5—38no—
261C4×Dic5C22×D314yes—
262C4×Dic5C22×D314yes—
263C4×Dic5C22×D314yes—
264C23×Q8—151no—
265C2×C4×Q8—31no—
266C2×C4×Q8—152no—
267C2×C4×Q8—152no—
268C2×C4×Q8—151no—
269C2×C4×Q8—1516no—
270C2×C4×Q8—151no—
271C2×C4×Q8—151no—
272C22×C4⋊C4—152no—
273C22×C4⋊C4—151no—
274C22×C42—51no—
275C22×C42—152no—
276C22×C3×C5C23×C412yes—
277C22×C3×C5C22×Q812yes—
278C22×C3×C5C2×#4112yes—
279C22×C3×C5C2511yescharacteristic
280C2×C3×D5C4×Q8116yescomplemented
281C2×C3×D5C23×C414yes—
282C2×C3×D5C22×Q814yes—
283C2×C3×D5C2×#4114yes—
284C3×C4×C5—22no—
285C3×C4×C5C23×C414yes—
286C3×C4×C5C22×Q814yescomplemented
287Dic15—24no—
288Dic15C23×C418yes—
289C3×Dic5—22no—
290C3×Dic5C23×C414yes—
291C3×Dic5C22×Q814yescomplemented
292C5×Dic3—24no—
293C5×Dic3C23×C418yes—
294C24×C3—51no—
295C22×C3×C4—51no—
296C22×C3×C4—51no—
297C22×C3×C4—58no—
298C22×C3×C4—58no—
299C22×C3×C4—54no—
300C22×C3×C4—54no—
301C22×C3×C4—51no—
302C22×C3×C4—54no—
303C22×C3×C4—104no—
304C22×C3×C4C22×D511yescharacteristic
305C22×C3×C4C22×D511yescharacteristic
306C22×C3×C4C22×D511yescharacteristic
307C22×Dic3—52no—
308C22×Dic3—516no—
309C22×Dic3—58no—
310C22×Dic3—52no—
311C22×Dic3—58no—
312C22×Dic3—108no—
313C22×Dic3C22×D512yes—
314C22×Dic3C22×D512yes—
315C2×Dic6—58no—
316C2×Dic6—54no—
317C2×Dic6—516no—
318C2×Dic6—58no—
319C2×Dic6—564no—
320C2×Dic6C4×D518yesdirect product factor
321C2×Dic6C22×D514yes—
322C3×C42—54no—
323C3×C42—54no—
324C3×C42—54no—
325C3×C42C22×D514yes—
326C4⋊Dic3—54no—
327C4⋊Dic3—58no—
328C4⋊Dic3C22×D514yes—
329Dic3⋊C4—58no—
330Dic3⋊C4—58no—
331Dic3⋊C4—58no—
332Dic3⋊C4C22×D518yes—
333C4×Dic3—58no—
334C4×Dic3—58no—
335C4×Dic3—58no—
336C4×Dic3C22×D518yes—
337C23×C5C23×D311yescharacteristic
338C22×D5C2×Dic614yes—
339C22×D5C2×C4×D314yes—
340C22×D5#23514yes—
341C22×D5C23×D312yes—
342C5×Q8—316no—
343C2×C4×C5—22no—
344C2×C4×C5—38no—
345C2×C4×C5—34no—
346C2×C4×C5—34no—
347C2×C4×C5—64no—
348C2×C4×C5C2×Dic614yescomplemented
349C2×C4×C5C2×C4×D314yes—
350C2×C4×C5C23×D312yes—
351C2×C4×C5C23×D312yes—
352C2×C4×C5C23×D312yes—
353C2×Dic5—22no—
354C2×Dic5—38no—
355C2×Dic5—34no—
356C2×Dic5—34no—
357C2×Dic5—64no—
358C2×Dic5C2×Dic614yescomplemented
359C2×Dic5C2×C4×D314yes—
360C2×Dic5C23×D312yes—
361C2×Dic5C23×D312yes—
362C2×Dic5C23×D312yes—
363C4×D5—28no—
364C4×D5—332no—
365C4×D5—616no—
366C4×D5C2×Dic6116yesdirect product factor
367C4×D5C2×C4×D3116yes—
368Dic10—316no—
369Dic10—332no—
370C22×Q8—31no—
371C22×Q8—152no—
372C22×Q8—158no—
373C22×Q8—1516no—
374C22×Q8—151no—
375C23×C4—51no—
376C23×C4—51no—
377C23×C4—51no—
378C23×C4—152no—
379C23×C4—152no—
380C4×Q8—38no—
381C4×Q8—1516no—
382C4×Q8—1516no—
383C4×Q8—158no—
384C4×Q8—158no—
385C4×Q8—158no—
386C2×C4⋊C4—32no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—1516no—
389C2×C4⋊C4—158no—
390C2×C4⋊C4—152no—
391C2×C4⋊C4—152no—
392C2×C4⋊C4—152no—
393C2×C4⋊C4—152no—
394C2×C4⋊C4—151no—
395C2×C42—32no—
396C2×C42—51no—
397C2×C42—51no—
398C2×C42—51no—
399C2×C42—58no—
400C2×C42—1516no—
401C2×C42—152no—
402C2×C42—152no—
403C2×C42—152no—
404C2×C42D3×D511yescharacteristic
405C2×C3×C5C2×C4×Q814yescomplemented
406C2×C3×C5C24×C411yescharacteristic
407C2×C3×C5C23×Q811yescharacteristic
408C2×C3×C5C22×#4111yescharacteristic
409C3×D5C2×C4×Q818yescomplemented
410C23×C3—54no—
411C23×C3—54no—
412C23×C3—54no—
413C23×C3—52no—
414C23×C3C23×D511yescharacteristic
415C2×C3×C4—22no—
416C2×C3×C4—54no—
417C2×C3×C4—54no—
418C2×C3×C4—52no—
419C2×C3×C4—52no—
420C2×C3×C4—516no—
421C2×C3×C4—516no—
422C2×C3×C4—52no—
423C2×C3×C4—108no—
424C2×C3×C4—102no—
425C2×C3×C4C2×C4×D514yes—
426C2×C3×C4Q8×D514yescomplemented
427C2×C3×C4C23×D512yes—
428C2×C3×C4C23×D512yes—
429C2×C3×C4C23×D512yes—
430C2×Dic3—24no—
431C2×Dic3—58no—
432C2×Dic3—54no—
433C2×Dic3—532no—
434C2×Dic3—54no—
435C2×Dic3—1016no—
436C2×Dic3—104no—
437C2×Dic3C2×C4×D518yes—
438C2×Dic3C23×D514yes—
439C2×Dic3C23×D514yes—
440Dic6—516no—
441Dic6—532no—
442Dic6C2×C4×D5116yesdirect product factor
443C22×C5C22×Dic612yes—
444C22×C5C22×C4×D312yes—
445C22×C5C2×#23512yes—
446C22×C5C24×D311yescharacteristic
447C2×D5C4×Dic6116yesdirect product factor
448C2×D5C22×Dic614yes—
449C2×D5C22×C4×D314yes—
450C2×D5C2×#23514yes—
451C4×C5—22no—
452C4×C5—38no—
453C4×C5—64no—
454C4×C5C22×Dic614yescomplemented
455C4×C5C22×C4×D314yes—
456Dic5—22no—
457Dic5—38no—
458Dic5—64no—
459Dic5C22×Dic614yescomplemented
460Dic5C22×C4×D314yes—
461C24—51no—
462C2×Q8—38no—
463C2×Q8—34no—
464C2×Q8—158no—
465C2×Q8—1516no—
466C2×Q8—1564no—
467C2×Q8—158no—
468C2×Q8—154no—
469C22×C4—32no—
470C22×C4—32no—
471C22×C4—51no—
472C22×C4—51no—
473C22×C4—58no—
474C22×C4—58no—
475C22×C4—54no—
476C22×C4—54no—
477C22×C4—51no—
478C22×C4—54no—
479C22×C4—104no—
480C22×C4—158no—
481C22×C4—1516no—
482C22×C4—158no—
483C22×C4—152no—
484C22×C4—152no—
485C22×C4—308no—
486C22×C4C2×D3×D511yescharacteristic
487C22×C4C2×D3×D511yescharacteristic
488C22×C4C2×D3×D511yescharacteristic
489C4⋊C4—38no—
490C4⋊C4—34no—
491C4⋊C4—158no—
492C4⋊C4—158no—
493C4⋊C4—158no—
494C4⋊C4—158no—
495C4⋊C4—154no—
496C42—38no—
497C42—54no—
498C42—54no—
499C42—54no—
500C42—158no—
501C42—158no—
502C42—158no—
503C42C2×D3×D514yes—
504C3×C5C22×C4×Q811yescharacteristic, complemented, Hall
505C22×C3—516no—
506C22×C3—54no—
507C22×C3—54no—
508C22×C3—54no—
509C22×C3C22×C4×D512yes—
510C22×C3C2×Q8×D512yes—
511C22×C3D5×#4112yes—
512C22×C3C24×D511yescharacteristic
513C3×C4—22no—
514C3×C4—54no—
515C3×C4—54no—
516C3×C4—102no—
517C3×C4C22×C4×D514yes—
518C3×C4C2×Q8×D514yescomplemented
519Dic3—24no—
520Dic3—58no—
521Dic3—104no—
522Dic3C22×C4×D518yes—
523C2×C5C2×C4×Dic614yescomplemented
524C2×C5C23×Dic611yescharacteristic
525C2×C5C23×C4×D311yescharacteristic
526C2×C5C22×#23511yescharacteristic
527D5C2×C4×Dic618yesdirect product factor
528C23—54no—
529C23—54no—
530C23—54no—
531C23—52no—
532C23C22×D3×D511yescharacteristic
533Q8—316no—
534Q8—1532no—
535Q8—1516no—
536C2×C4—22no—
537C2×C4—38no—
538C2×C4—34no—
539C2×C4—34no—
540C2×C4—54no—
541C2×C4—54no—
542C2×C4—52no—
543C2×C4—52no—
544C2×C4—516no—
545C2×C4—516no—
546C2×C4—52no—
547C2×C4—64no—
548C2×C4—108no—
549C2×C4—102no—
550C2×C4—1532no—
551C2×C4—158no—
552C2×C4—154no—
553C2×C4—154no—
554C2×C4—3016no—
555C2×C4—304no—
556C2×C4D5×Dic614yesdirect product factor
557C2×C4C4×D3×D514yes—
558C2×C4C22×D3×D512yes—
559C2×C4C22×D3×D512yes—
560C2×C4C22×D3×D512yes—
561C2×C3—58no—
562C2×C3C4×Q8×D514yescomplemented
563C2×C3C23×C4×D511yescharacteristic
564C2×C3C22×Q8×D511yescharacteristic
565C2×C3C2×D5×#4111yescharacteristic
566C5C22×C4×Dic611yescharacteristic, complemented, Sylow
567C22—516no—
568C22—54no—
569C22—54no—
570C22—54no—
571C22C2×D5×Dic612yes—
572C22C2×C4×D3×D512yes—
573C22D5×#23512yes—
574C22C23×D3×D511yescharacteristic
575C4—22no—
576C4—38no—
577C4—54no—
578C4—54no—
579C4—64no—
580C4—102no—
581C4—158no—
582C4—304no—
583C4C2×D5×Dic614yesdirect product factor
584C4C2×C4×D3×D514yes—
585C3C2×C4×Q8×D511yescharacteristic, complemented, Sylow
586C2—58no—
587C2C4×D5×Dic614yesdirect product factor
588C2C22×D5×Dic611yescharacteristic
589C2C22×C4×D3×D511yescharacteristic
590C2C2×D5×#23511yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C42×C5C22
socleC23×C3×C5C24
prime radicalC23×C3×D5C23
cosocleC22×C3×C5C25
hypercenterC2×C42D3×D5
hypocenterC3×C5C22×C4×Q8
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C4×Dic30C2semidirect
3. C2×C4×C5×Dic6C2semidirect
5. C2×C4×#1204C2semidirect
9. C2×#91333C2semidirect
10. C2×Dic5×Dic6C2semidirect
11. C2×#91323C2semidirect
12. C4×D5×Dic6C2direct (N × H)
22. C2×D5×Dic6C4direct (N × H)
28. C4×Dic30C22semidirect
32. C4×C5×Dic6C22semidirect
42. C4×#1204C22semidirect
46. #91333C22semidirect
47. Dic5×Dic6C22semidirect
48. #91323C22semidirect
68. C2×Dic30C2×C4semidirect
72. C2×C5×Dic6C2×C4semidirect
79. C2×C3×C4×D5Q8semidirect
83. C2×#1204C2×C4semidirect
89. D5×Dic6C2×C4direct (N × H)
116. C2×C4×Dic6D5direct (N × H)
160. C2×C3×C4×C5C2×Q8semidirect
168. Dic30C22×C4semidirect
173. C5×Dic6C22×C4semidirect
176. C2×C3×Dic5C2×Q8semidirect
182. C3×C4×D5C2×Q8semidirect
183. #1204C22×C4semidirect
220. C4×Dic6C2×D5direct (N × H)
240. C2×C4×D5Dic6direct (N × H)
280. C2×C3×D5C4×Q8semidirect
286. C3×C4×C5C22×Q8semidirect
291. C3×Dic5C22×Q8semidirect
320. C2×Dic6C4×D5direct (N × H)
348. C2×C4×C5C2×Dic6semidirect
358. C2×Dic5C2×Dic6semidirect
366. C4×D5C2×Dic6direct (N × H)
405. C2×C3×C5C2×C4×Q8semidirect
409. C3×D5C2×C4×Q8semidirect
426. C2×C3×C4Q8×D5semidirect
442. Dic6C2×C4×D5direct (N × H)
447. C2×D5C4×Dic6direct (N × H)
454. C4×C5C22×Dic6semidirect
459. Dic5C22×Dic6semidirect
504. C3×C5C22×C4×Q8semidirect
518. C3×C4C2×Q8×D5semidirect
523. C2×C5C2×C4×Dic6semidirect
527. D5C2×C4×Dic6direct (N × H)
556. C2×C4D5×Dic6direct (N × H)
562. C2×C3C4×Q8×D5semidirect
566. C5C22×C4×Dic6semidirect
583. C4C2×D5×Dic6direct (N × H)
585. C3C2×C4×Q8×D5semidirect
587. C2C4×D5×Dic6direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D5×Dic62
C2×C4×Dic302
C2×C4×C5×Dic62
C2×C3×C42×D52
C2×C4×#12042
C2×D5×C4⋊Dic32
C2×D5×Dic3⋊C42
C2×C4×D5×Dic32
C2×#913332
C2×Dic5×Dic62
C2×#913232
C4×D5×Dic62
C2×C4×Q8×D53
C22×C4×Dic65