Finite Group Databasebeta

← C2×#11754326 #14482735

Subgroups — C2×#11754326 #14482735

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6780C212yesmaximal, complemented
2C22×C4⋊Dic15C211yesmaximal, characteristic, complemented
3C2×C5×#930C211yesmaximal, characteristic, complemented
4C2×C3×C4×C22⋊D5C211yesmaximal, characteristic, complemented
5C2×#91543C212yesmaximal, complemented
6C2×#91468C211yesmaximal, characteristic, complemented
7C2×#91449C211yesmaximal, characteristic, complemented
8C2×#91417C212yesmaximal, complemented
9C2×Dic5×D12C211yesmaximal, characteristic, complemented
10#11754326C2116yesmaximal, direct product factor
11C2×#91414C212yesmaximal, complemented
12C2×D5×C4⋊Dic3C211yesmaximal, characteristic, complemented
13C2×#65945—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C23×Dic15C2212yes—
16C22×C5×#67C2212yes—
17C22×C5×D12C2211yescharacteristic
18C22×C3×C22⋊D5C2211yescharacteristic
19C22×C3×C4×D5C2211yescharacteristic
20C22×#1204C2212yes—
21C22×#1201C2212yes—
22C22×D3×Dic5C2212yes—
23C2×#6780—216no—
24C2×#6780C22116yescomplemented
25C22×D5×Dic3C2212yes—
26C2×C4⋊Dic15C2211yescharacteristic
27C2×C4⋊Dic15C2211yescharacteristic
28C2×C4⋊Dic15C2212yes—
29C2×C4⋊Dic15C2218yescomplemented
30C5×#930C2218yescomplemented
31C2×C5×(C2×D3)⋊C4C2212yes—
32C2×C5×C4⋊Dic3C2211yescharacteristic
33C2×C3×C22⋊Dic5C2211yescharacteristic
34C3×C4×C22⋊D5C2218yescomplemented
35C2×C3×#685C2211yescharacteristic
36C2×C3×#683C2211yescharacteristic
37C2×C3×C4×Dic5C2211yescharacteristic
38#91543C22116yescomplemented
39C2×#6668C2212yes—
40C2×#6668C2212yes—
41C2×(C2×D3)⋊Dic5C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43#91468C2218yescomplemented
44#91449C2218yescomplemented
45#91417C22116yescomplemented
46Dic5×D12C2218yescomplemented
47#91414C22116yescomplemented
48D5×C4⋊Dic3C2218yescomplemented
49C2×#5555—51nomaximal, Hall
50C22×#711—32no—
51C2×C5×#121—31no—
52C2×#4084—31no—
53C2×#4081—32no—
54C2×D4×Dic5—31no—
55C2×C4×C22⋊D5D311yescharacteristic, complemented
56C22×C4⋊Dic5—31no—
57#65945—316no—
58C2×D5×C4⋊C4—31no—
59C2×#4034—31no—
60C2×#4029—32no—
61C2×#4024—32no—
62C24×C3×C5C2311yescharacteristic
63C23×C5×D3C2312yes—
64C23×C3×D5C2311yescharacteristic
65C22×C3×C4×C5—24no—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15—28no—
70C22×Dic15C2312yes—
71C22×Dic15C2318yes—
72C22×Dic15C2312yes—
73C2×C5×#67—28no—
74C2×C5×#67C2318yes—
75C22×C5×Dic3C2312yes—
76C2×C5×D12—24no—
77C2×C5×D12C2314yes—
78C2×C3×C22⋊D5D418yescomplemented
79C2×C3×C22⋊D5C2314yes—
80C22×C3×Dic5C2311yescharacteristic
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2311yescharacteristic
83C2×C3×C4×D5—24no—
84C2×C3×C4×D5C2314yes—
85C2×#1204—28no—
86C2×#1204C2318yes—
87C2×#1201—28no—
88C2×#1201C2318yes—
89C2×D3×Dic5—28no—
90C2×D3×Dic5C2318yes—
91#6780—264no—
92C2×D5×Dic3—28no—
93C2×D5×Dic3C2318yes—
94C4⋊Dic15C2314yes—
95C4⋊Dic15C2318yes—
96C4⋊Dic15C2314yes—
97C5×(C2×D3)⋊C4C2318yes—
98C5×C4⋊Dic3C2314yes—
99C3×C22⋊Dic5C2314yes—
100C3×#685C2314yes—
101C3×#683C2314yes—
102C3×C4×Dic5C2314yes—
103#6668C2318yes—
104#6668C2318yes—
105(C2×D3)⋊Dic5C2318yes—
106(C2×D3)⋊Dic5C2318yes—
107C22×#237—52no—
108C2×C3×C4×D4—51no—
109C2×#930—51no—
110C2×#930D511yescharacteristic, complemented
111C22×C4⋊Dic3—51no—
112C22×C4⋊Dic3—51no—
113#5555—516no—
114C2×#897—52no—
115C2×#886—52no—
116C2×#886—52no—
117C2×C4×D12—51no—
118C2×#869—51no—
119C22×C5×D4—32no—
120C22×C5×D4—31no—
121C23×C4×C5C2×D311yescharacteristic
122C22×C22⋊D5—32no—
123C22×C22⋊D5C2×D311yescharacteristic
124C23×Dic5—32no—
125C23×Dic5—32no—
126C2×#711—316no—
127C2×#711—616no—
128C22×C4×D5—32no—
129C22×C4×D5C2×D311yescharacteristic
130C22×Dic10—32no—
131C5×#121—38no—
132C2×C5×C4⋊C4—31no—
133C2×C5×C22⋊C4—32no—
134C2×C22⋊Dic5—32no—
135C2×C22⋊Dic5—32no—
136C2×C22⋊Dic5C2×D311yescharacteristic
137#4084—38no—
138#4081—316no—
139D4×Dic5—38no—
140C4×C22⋊D5C2×D318yescomplemented
141C2×#685C2×D311yescharacteristic
142C2×C4⋊Dic5—32no—
143C2×C4⋊Dic5—31no—
144C2×C4⋊Dic5—31no—
145C2×C4⋊Dic5—38no—
146C2×#683—32no—
147C2×#683—32no—
148C2×#683C2×D311yescharacteristic
149C2×C4×Dic5C2×D311yescharacteristic
150D5×C4⋊C4—38no—
151#4034—38no—
152#4029—316no—
153#4024—316no—
154C2×#547—151noSylow
155C23×C3×C5—22no—
156C23×C3×C5—22no—
157C23×C3×C5C2×D414yes—
158C23×C3×C5C2412yes—
159C23×C3×C5C2411yescharacteristic
160C22×C5×D3—24no—
161C22×C5×D3—24no—
162C22×C5×D3—24no—
163C22×C5×D3C2414yes—
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5C2×D414yes—
167C22×C3×D5C2412yes—
168C2×C3×C4×C5—22no—
169C2×C3×C4×C5—28no—
170C2×C3×C4×C5#4114yescomplemented
171C2×C3×C4×C5C2412yes—
172C2×C3×C4×C5C2412yes—
173C2×Dic15—24no—
174C2×Dic15—216no—
175C2×Dic15—24no—
176C2×Dic15C2414yes—
177C2×Dic15C2414yes—
178C5×#67—216no—
179C2×C5×Dic3—24no—
180C2×C5×Dic3C2414yes—
181C5×D12—28no—
182C3×C22⋊D5C2×D4116yescomplemented
183C2×C3×Dic5—22no—
184C2×C3×Dic5—22no—
185C2×C3×Dic5C2×D414yes—
186C2×C3×Dic5C2412yes—
187C2×C3×Dic5C2412yes—
188C2×C3×Dic5C2412yes—
189C3×C4×D5—28no—
190#1204—216no—
191#1201—216no—
192D3×Dic5—216no—
193D5×Dic3—216no—
194C22×C3×D4—51no—
195C23×C3×C4—51no—
196C23×C3×C4C2×D511yescharacteristic
197C22×#67—52no—
198C22×#67C2×D512yes—
199C23×Dic3—52no—
200C23×Dic3—52no—
201C2×#237—516no—
202C2×#237—1016no—
203C22×D12C2×D511yescharacteristic
204C22×C4×D3—52no—
205C22×Dic6—52no—
206C3×C4×D4—58no—
207C2×C3×C4⋊C4—51no—
208C2×C3×C22⋊C4—51no—
209C2×C3×C22⋊C4—51no—
210C2×C3×C42—51no—
211#930—58no—
212#930C2×D518yescomplemented
213C2×(C2×D3)⋊C4—52no—
214C2×(C2×D3)⋊C4—52no—
215C2×(C2×D3)⋊C4C2×D512yes—
216C2×C4⋊Dic3—51no—
217C2×C4⋊Dic3—51no—
218C2×C4⋊Dic3—52no—
219C2×C4⋊Dic3—58no—
220C2×C4⋊Dic3—52no—
221C2×C4⋊Dic3—52no—
222C2×C4⋊Dic3—58no—
223C2×C4⋊Dic3C2×D511yescharacteristic
224#897—516no—
225#886—516no—
226#886—516no—
227C4×D12—58no—
228#869—58no—
229C24×C5—32no—
230C24×C5C22×D311yescharacteristic
231C23×D5C22×D311yescharacteristic
232C2×C5×D4—38no—
233C2×C5×D4—34no—
234C2×C5×D4—68no—
235C2×C5×D4—64no—
236C22×C4×C5—24no—
237C22×C4×C5—32no—
238C22×C4×C5C22×D311yescharacteristic
239C22×C4×C5C22×D314yes—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—38no—
242C2×C22⋊D5—68no—
243C2×C22⋊D5D1218yescomplemented
244C2×C22⋊D5C22×D314yes—
245C22×Dic5—32no—
246C22×Dic5—32no—
247C22×Dic5—38no—
248C22×Dic5—38no—
249C22×Dic5—68no—
250C22×Dic5—68no—
251C22×Dic5C22×D311yescharacteristic
252C22×Dic5C22×D311yescharacteristic
253C22×Dic5C22×D311yescharacteristic
254#711—664no—
255C2×C4×D5—24no—
256C2×C4×D5—38no—
257C2×C4×D5—68no—
258C2×C4×D5C22×D314yes—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C5×C4⋊C4—34no—
262C5×C22⋊C4—38no—
263C22⋊Dic5—38no—
264C22⋊Dic5—38no—
265C22⋊Dic5C22×D314yes—
266#685C22×D314yes—
267C4⋊Dic5—38no—
268C4⋊Dic5—34no—
269C4⋊Dic5—34no—
270#683—38no—
271#683—38no—
272#683C22×D314yes—
273C4×Dic5C22×D314yes—
274C22×#41—152no—
275#547—1516no—
276C2×C4⋊Q8—151no—
277C2×#123—152no—
278C2×#123—152no—
279C2×C22⋊Q8—152no—
280C2×#121—31no—
281C2×#121—151no—
282C2×C4×D4—51no—
283C2×C4×D4—151no—
284C22×C4⋊C4—151no—
285C22×C4⋊C4—151no—
286C22×C3×C5—28no—
287C22×C3×C5—22no—
288C22×C3×C5—22no—
289C22×C3×C5C22×D414yes—
290C22×C3×C5C22×D412yes—
291C22×C3×C5C2×#4112yes—
292C22×C3×C52−1+412yes—
293C22×C3×C5C2511yescharacteristic
294C2×C5×D3—24no—
295C2×C5×D3—24no—
296C2×C5×D3—24no—
297C2×C5×D3—48no—
298C2×C3×D5—28no—
299C2×C3×D5—22no—
300C2×C3×D5—22no—
301C2×C3×D5C22×D414yes—
302C3×C4×C5—22no—
303C3×C4×C5C2×#4114yescomplemented
304Dic15—24no—
305Dic15—24no—
306C3×Dic5—22no—
307C3×Dic5—22no—
308C3×Dic5C22×D414yes—
309C5×Dic3—24no—
310C24×C3—51no—
311C24×C3C22×D511yescharacteristic
312C23×D3C22×D512yes—
313C2×C3×D4—58no—
314C2×C3×D4—54no—
315C22×C3×C4—24no—
316C22×C3×C4—51no—
317C22×C3×C4—51no—
318C22×C3×C4—51no—
319C22×C3×C4—54no—
320C22×C3×C4—104no—
321C22×C3×C4C22×D511yescharacteristic
322C22×C3×C4C22×D514yes—
323C22×C3×C4C22×D511yescharacteristic
324C2×#67—28no—
325C2×#67—58no—
326C2×#67—108no—
327C2×#67C22×D518yes—
328C22×Dic3—58no—
329C22×Dic3—52no—
330C22×Dic3—52no—
331C22×Dic3—58no—
332C22×Dic3—108no—
333C22×Dic3—108no—
334C22×Dic3C22×D512yes—
335#237—1064no—
336C2×D12—24no—
337C2×D12C22×D514yes—
338C2×C4×D3—58no—
339C2×C4×D3—108no—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C3×C4⋊C4—54no—
343C3×C22⋊C4—54no—
344C3×C22⋊C4—54no—
345C3×C42—54no—
346(C2×D3)⋊C4—58no—
347(C2×D3)⋊C4—58no—
348(C2×D3)⋊C4C22×D518yes—
349C4⋊Dic3—54no—
350C4⋊Dic3—54no—
351C4⋊Dic3—58no—
352C4⋊Dic3—58no—
353C4⋊Dic3—58no—
354C4⋊Dic3C22×D514yes—
355C23×C5—22no—
356C23×C5—22no—
357C23×C5—34no—
358C23×C5—64no—
359C23×C5—64no—
360C23×C5—64no—
361C23×C5C2×D1214yes—
362C23×C5C23×D312yes—
363C23×C5C23×D311yescharacteristic
364C22×D5—22no—
365C22×D5—22no—
366C22×D5C2×D1214yes—
367C22×D5C23×D312yes—
368C5×D4—616no—
369C5×D4—68no—
370C2×C4×C5—22no—
371C2×C4×C5—28no—
372C2×C4×C5—34no—
373C2×C4×C5—64no—
374C2×C4×C5#23714yescomplemented
375C2×C4×C5C23×D312yes—
376C2×C4×C5C23×D312yes—
377C22⋊D5—616no—
378C22⋊D5C2×D12116yescomplemented
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—34no—
382C2×Dic5—34no—
383C2×Dic5—64no—
384C2×Dic5—64no—
385C2×Dic5—616no—
386C2×Dic5—616no—
387C2×Dic5C2×D1214yes—
388C2×Dic5C23×D312yes—
389C2×Dic5C23×D312yes—
390C2×Dic5C23×D312yes—
391C4×D5—28no—
392C4×D5—616no—
393Dic10—616no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—152no—
397C22×D4—32no—
398C22×D4—31no—
399C22×D4—51no—
400C22×D4—152no—
401C23×C4—51no—
402C23×C4—152no—
403C23×C4—152no—
404C23×C4—152no—
405C23×C4D3×D511yescharacteristic
406C4⋊Q8—158no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—38no—
411#121—158no—
412C4×D4—58no—
413C4×D4—158no—
414C2×C4⋊C4—31no—
415C2×C4⋊C4—51no—
416C2×C4⋊C4—158no—
417C2×C4⋊C4—152no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—151no—
420C2×C4⋊C4—151no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4—158no—
423C2×C22⋊C4—32no—
424C2×C22⋊C4—51no—
425C2×C22⋊C4—51no—
426C2×C22⋊C4—152no—
427C2×C22⋊C4—152no—
428C2×C42—51no—
429C2×C3×C5—24no—
430C2×C3×C5#54714yescomplemented
431C2×C3×C5C23×D411yescharacteristic
432C2×C3×C5C22×#4111yescharacteristic
433C2×C3×C5C2×2−1+411yescharacteristic
434C3×D5—24no—
435C5×D3—44no—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3—54no—
439C23×C3—52no—
440C23×C3—102no—
441C23×C3—102no—
442C23×C3D4×D514yes—
443C23×C3C23×D512yes—
444C23×C3C23×D511yescharacteristic
445C22×D3—24no—
446C22×D3—24no—
447C22×D3—24no—
448C22×D3C23×D514yes—
449C3×D4—516no—
450C2×C3×C4—22no—
451C2×C3×C4—28no—
452C2×C3×C4—54no—
453C2×C3×C4—52no—
454C2×C3×C4—52no—
455C2×C3×C4—52no—
456C2×C3×C4—102no—
457C2×C3×C4—102no—
458C2×C3×C4—108no—
459C2×C3×C4#71114yescomplemented
460C2×C3×C4C23×D512yes—
461C2×C3×C4C23×D512yes—
462#67—216no—
463#67—1016no—
464C2×Dic3—24no—
465C2×Dic3—54no—
466C2×Dic3—54no—
467C2×Dic3—1016no—
468C2×Dic3—104no—
469C2×Dic3—104no—
470C2×Dic3—1016no—
471C2×Dic3C23×D514yes—
472D12—28no—
473C4×D3—1016no—
474Dic6—1016no—
475C22×C5—22no—
476C22×C5—22no—
477C22×C5—28no—
478C22×C5—64no—
479C22×C5—64no—
480C22×C5—64no—
481C22×C5—128no—
482C22×C5C22×D1214yes—
483C22×C5C22×D1212yes—
484C22×C5C2×#23712yes—
485C22×C5#101012yes—
486C22×C5C24×D311yescharacteristic
487C2×D5—22no—
488C2×D5—22no—
489C2×D5—28no—
490C2×D5C22×D1214yes—
491C4×C5—22no—
492C4×C5—64no—
493C4×C5C2×#23714yescomplemented
494Dic5—22no—
495Dic5—22no—
496Dic5—64no—
497Dic5—64no—
498Dic5C22×D1214yes—
499C24—32no—
500C24—51no—
501C24C2×D3×D511yescharacteristic
502#41—3064no—
503C2×Q8—158no—
504C2×Q8—308no—
505C2×D4—38no—
506C2×D4—34no—
507C2×D4—58no—
508C2×D4—54no—
509C2×D4—68no—
510C2×D4—64no—
511C2×D4—158no—
512C2×D4—308no—
513C22×C4—24no—
514C22×C4—32no—
515C22×C4—51no—
516C22×C4—51no—
517C22×C4—51no—
518C22×C4—54no—
519C22×C4—104no—
520C22×C4—158no—
521C22×C4—158no—
522C22×C4—158no—
523C22×C4—152no—
524C22×C4—152no—
525C22×C4—308no—
526C22×C4—308no—
527C22×C4—308no—
528C22×C4C2×D3×D514yes—
529C22×C4C2×D3×D511yescharacteristic
530C22×C4C2×D3×D511yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—54no—
533C4⋊C4—158no—
534C4⋊C4—158no—
535C4⋊C4—154no—
536C4⋊C4—154no—
537C4⋊C4—158no—
538C22⋊C4—38no—
539C22⋊C4—54no—
540C22⋊C4—54no—
541C22⋊C4—158no—
542C22⋊C4—158no—
543C42—54no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3—28no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—54no—
549C22×C3—108no—
550C22×C3—102no—
551C22×C3—102no—
552C22×C3C2×D4×D514yes—
553C22×C3C2×D4×D512yes—
554C22×C3C2×#71112yes—
555C22×C3#415012yes—
556C22×C3C24×D511yescharacteristic
557C2×D3—24no—
558C2×D3—24no—
559C2×D3—24no—
560C2×D3—48no—
561C3×C4—22no—
562C3×C4—54no—
563C3×C4—102no—
564C3×C4—102no—
565C3×C4C2×#71114yescomplemented
566Dic3—24no—
567Dic3—104no—
568Dic3—104no—
569C2×C5—24no—
570C2×C5—124no—
571C2×C5#555514yescomplemented
572C2×C5C23×D1211yescharacteristic
573C2×C5C22×#23711yescharacteristic
574C2×C5C2×#101011yescharacteristic
575D5—24no—
576C23—22no—
577C23—22no—
578C23—34no—
579C23—54no—
580C23—52no—
581C23—64no—
582C23—64no—
583C23—64no—
584C23—102no—
585C23—102no—
586C23D5×D1214yes—
587C23C22×D3×D512yes—
588C23C22×D3×D511yescharacteristic
589Q8—3016no—
590D4—516no—
591D4—616no—
592D4—68no—
593D4—3016no—
594C2×C4—22no—
595C2×C4—28no—
596C2×C4—34no—
597C2×C4—54no—
598C2×C4—52no—
599C2×C4—52no—
600C2×C4—52no—
601C2×C4—64no—
602C2×C4—102no—
603C2×C4—102no—
604C2×C4—108no—
605C2×C4—154no—
606C2×C4—154no—
607C2×C4—3016no—
608C2×C4—3016no—
609C2×C4—304no—
610C2×C4—304no—
611C2×C4—3016no—
612C2×C4#678014yescomplemented
613C2×C4C22×D3×D512yes—
614C2×C4C22×D3×D512yes—
615C2×C3—24no—
616C2×C3—104no—
617C2×C3#6594514yescomplemented
618C2×C3C22×D4×D511yescharacteristic
619C2×C3C22×#71111yescharacteristic
620C2×C3C2×#415011yescharacteristic
621D3—44no—
622C5C2×#555511yescharacteristic, complemented, Sylow
623C22—22no—
624C22—28no—
625C22—22no—
626C22—54no—
627C22—64no—
628C22—64no—
629C22—64no—
630C22—102no—
631C22—108no—
632C22—102no—
633C22—128no—
634C22#9200112yes—
635C22C2×D5×D1214yes—
636C22C2×D5×D1212yes—
637C22C2×#678012yes—
638C22C23×D3×D511yescharacteristic
639C4—22no—
640C4—54no—
641C4—64no—
642C4—102no—
643C4—102no—
644C4—304no—
645C4—304no—
646C4C2×#678014yescomplemented
647C3C2×#6594511yescharacteristic, complemented, Sylow
648C2—24no—
649C2—104no—
650C2—124no—
651C2#1175432614yesdirect product factor
652C2C2×#9200111yescharacteristic
653C2C22×D5×D1211yescharacteristic
654C2C22×#678011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×#6780C2semidirect
2. C22×C4⋊Dic15C2semidirect
3. C2×C5×#930C2semidirect
4. C2×C3×C4×C22⋊D5C2semidirect
5. C2×#91543C2semidirect
6. C2×#91468C2semidirect
7. C2×#91449C2semidirect
8. C2×#91417C2semidirect
9. C2×Dic5×D12C2semidirect
10. #11754326C2direct (N × H)
11. C2×#91414C2semidirect
12. C2×D5×C4⋊Dic3C2semidirect
24. C2×#6780C22semidirect
29. C2×C4⋊Dic15C22semidirect
30. C5×#930C22semidirect
34. C3×C4×C22⋊D5C22semidirect
38. #91543C22semidirect
43. #91468C22semidirect
44. #91449C22semidirect
45. #91417C22semidirect
46. Dic5×D12C22semidirect
47. #91414C22semidirect
48. D5×C4⋊Dic3C22semidirect
55. C2×C4×C22⋊D5D3semidirect
78. C2×C3×C22⋊D5D4semidirect
110. C2×#930D5semidirect
140. C4×C22⋊D5C2×D3semidirect
170. C2×C3×C4×C5#41semidirect
182. C3×C22⋊D5C2×D4semidirect
212. #930C2×D5semidirect
243. C2×C22⋊D5D12semidirect
303. C3×C4×C5C2×#41semidirect
374. C2×C4×C5#237semidirect
378. C22⋊D5C2×D12semidirect
430. C2×C3×C5#547semidirect
459. C2×C3×C4#711semidirect
493. C4×C5C2×#237semidirect
544. C3×C5C2×#547semidirect
565. C3×C4C2×#711semidirect
571. C2×C5#5555semidirect
612. C2×C4#6780semidirect
617. C2×C3#65945semidirect
622. C5C2×#5555semidirect
646. C4C2×#6780semidirect
647. C3C2×#65945semidirect
651. C2#11754326direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67802
C22×C4⋊Dic152
C2×C5×#9302
C2×C3×C4×C22⋊D52
C2×#915432
C2×#914682
C2×#914492
C2×#914172
C2×Dic5×D122
#117543262
C2×#914142
C2×D5×C4⋊Dic32
C2×#659453
C2×#55555