Finite Group Databasebeta

← C2×#11754965 #14482755

Subgroups — C2×#11754965 #14482755

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6819C211yesmaximal, characteristic, complemented
2C22×C5×#237C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
4C2×#91566C212yesmaximal, complemented
5C2×#91543C212yesmaximal, complemented
6C2×#91542C212yesmaximal, complemented
7C22×#6668C212yesmaximal, complemented
8#11754965C2116yesmaximal, direct product factor
9C2×C4×#1203C211yesmaximal, characteristic, complemented
10C2×#91383C211yesmaximal, characteristic, complemented
11C2×#91376C211yesmaximal, characteristic, complemented
12C2×#91365C211yesmaximal, characteristic, complemented
13C2×#66158—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C23×Dic15C2212yes—
17C2×#6819—28no—
18C2×#6819C2218yescomplemented
19C22×C4×D15C2211yescharacteristic
20C22×Dic30C2211yescharacteristic
21C22×C5×#67C2212yes—
22C23×C5×Dic3C2212yes—
23C2×C5×#237—28no—
24C2×C5×#237C2218yescomplemented
25C22×C4×C5×D3C2211yescharacteristic
26C22×C5×Dic6C2211yescharacteristic
27C23×C3×Dic5C2212yes—
28C22×#1203C2211yescharacteristic
29C2×C3×C22⋊Dic5C2212yes—
30C3×D4×Dic5C2218yescomplemented
31C2×C3×C4⋊Dic5C2211yescharacteristic
32C2×C3×C4×Dic5C2211yescharacteristic
33#91566C22116yescomplemented
34#91543C22116yescomplemented
35#91542C22116yescomplemented
36C2×#6668C2212yes—
37C2×#6668C2212yes—
38C2×#6668C2212yes—
39C2×#6668C2211yescharacteristic
40C2×#6668C2212yes—
41C2×#6668C22116yescomplemented
42C2×#6667C2211yescharacteristic
43C2×#6667C2212yes—
44C2×(C2×D3)⋊Dic5C2212yes—
45C2×(C2×D3)⋊Dic5C2211yescharacteristic
46C4×#1203C2218yescomplemented
47#91383C2218yescomplemented
48#91376C2218yescomplemented
49#91365C2218yescomplemented
50C2×#5555—51nomaximal, Hall
51C22×C5×#41—31no—
52C22×#711—31no—
53#66158—316no—
54C2×#4092—31no—
55C2×#4090—31no—
56C2×#4085—32no—
57C2×#4081—32no—
58C2×D4×Dic5D311yescharacteristic, complemented
59C2×#4075—32no—
60C2×C4×C22⋊D5—31no—
61C2×#4070—31no—
62C22×#683—32no—
63C24×C3×C5C2312yes—
64C23×D15C2311yescharacteristic
65C23×C5×D3C2311yescharacteristic
66C2×C3×C5×D4D418yescomplemented
67C2×C3×C5×D4C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220—28no—
70C2×#1220C2318yes—
71C22×Dic15—28no—
72C22×Dic15C2312yes—
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2318yes—
75#6819—232no—
76C2×C4×D15—24no—
77C2×C4×D15C2314yes—
78C2×Dic30—24no—
79C2×Dic30C2314yes—
80C2×C5×#67—28no—
81C2×C5×#67C2318yes—
82C22×C5×Dic3—28no—
83C22×C5×Dic3C2312yes—
84C22×C5×Dic3C2311yescharacteristic
85C22×C5×Dic3C2318yes—
86C5×#237—232no—
87C2×C4×C5×D3—24no—
88C2×C4×C5×D3C2314yes—
89C2×C5×Dic6—24no—
90C2×C5×Dic6C2314yes—
91C22×C3×Dic5—28no—
92C22×C3×Dic5C2318yes—
93C22×C3×Dic5C2311yescharacteristic
94C22×C3×Dic5C2312yes—
95C22×C3×Dic5C2311yescharacteristic
96C2×#1203—24no—
97C2×#1203C2314yes—
98C3×C22⋊Dic5C2318yes—
99C3×C4⋊Dic5C2314yes—
100C3×C4×Dic5C2314yes—
101#6668C2314yes—
102#6668C2318yes—
103#6668C2318yes—
104#6668C2318yes—
105#6668C2318yes—
106#6667C2314yes—
107#6667C2318yes—
108(C2×D3)⋊Dic5C2314yes—
109(C2×D3)⋊Dic5C2318yes—
110C22×#237—51no—
111C22×#237D511yescharacteristic, complemented
112C2×C3×C4×D4—51no—
113C2×#930—52no—
114C22×C4⋊Dic3—52no—
115#5555—516no—
116C2×#897—51no—
117C2×#897—51no—
118C2×#886—52no—
119C2×#886—52no—
120C2×C4×D12—51no—
121C2×#869—51no—
122C2×C5×#41—38no—
123C2×C5×#41—68no—
124C22×C5×Q8—31no—
125C22×C5×D4—32no—
126C22×C5×D4C2×D311yescharacteristic
127C23×C4×C5—32no—
128C23×C4×C5—31no—
129C22×C22⋊D5—32no—
130C22×C22⋊D5—31no—
131C23×Dic5—32no—
132C23×Dic5C2×D312yes—
133C2×#711—38no—
134C2×#711—68no—
135C22×C4×D5—31no—
136C22×Dic10—31no—
137C2×C22⋊Dic5—32no—
138C2×C22⋊Dic5—31no—
139C2×C22⋊Dic5C2×D312yes—
140#4092—38no—
141#4090—38no—
142#4085—316no—
143#4081—316no—
144D4×Dic5C2×D318yescomplemented
145#4075—316no—
146C4×C22⋊D5—38no—
147C2×#685—31no—
148C2×#685—32no—
149C2×C4⋊Dic5C2×D311yescharacteristic
150#4070—38no—
151C2×#683—31no—
152C2×#683—32no—
153C2×#683—32no—
154C2×#683—32no—
155C2×#683—316no—
156C2×#683—32no—
157C2×C4×Dic5C2×D311yescharacteristic
158C2×#547—151noSylow
159C23×C3×C5—24no—
160C23×C3×C5—24no—
161C23×C3×C5C2×D418yes—
162C23×C3×C5C2414yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15—22no—
167C22×D15C2412yes—
168C22×C5×D3—22no—
169C22×C5×D3—22no—
170C22×C5×D3—22no—
171C22×C5×D3C2412yes—
172C3×C5×D4C2×D4116yescomplemented
173C2×C3×C4×C5C2×D414yes—
174C2×C3×C4×C5C2412yes—
175#1220—216no—
176C2×Dic15—24no—
177C2×Dic15—22no—
178C2×Dic15—216no—
179C2×Dic15C2414yes—
180C2×Dic15C2412yes—
181C4×D15—28no—
182Dic30—28no—
183C5×#67—216no—
184C2×C5×Dic3—24no—
185C2×C5×Dic3—22no—
186C2×C5×Dic3—216no—
187C2×C5×Dic3C2414yes—
188C2×C5×Dic3C2412yes—
189C4×C5×D3—28no—
190C5×Dic6—28no—
191C2×C3×Dic5—24no—
192C2×C3×Dic5—22no—
193C2×C3×Dic5—216no—
194C2×C3×Dic5#4114yescomplemented
195C2×C3×Dic5C2412yes—
196C2×C3×Dic5C2414yes—
197C2×C3×Dic5C2412yes—
198#1203—28no—
199C22×C3×D4C2×D511yescharacteristic
200C23×C3×C4—52no—
201C22×#67—52no—
202C22×#67C2×D512yes—
203C23×Dic3—52no—
204C23×Dic3C2×D512yes—
205C2×#237—28no—
206C2×#237—58no—
207C2×#237—108no—
208C2×#237C2×D518yescomplemented
209C22×D12—51no—
210C22×C4×D3—51no—
211C22×C4×D3C2×D511yescharacteristic
212C22×Dic6—51no—
213C22×Dic6C2×D511yescharacteristic
214C3×C4×D4—58no—
215C2×C3×C4⋊C4—51no—
216C2×C3×C22⋊C4—52no—
217C2×C3×C42—51no—
218#930—516no—
219C2×(C2×D3)⋊C4—51no—
220C2×(C2×D3)⋊C4—52no—
221C2×(C2×D3)⋊C4—51no—
222C2×(C2×D3)⋊C4—52no—
223C2×C4⋊Dic3—52no—
224C2×C4⋊Dic3—52no—
225C2×C4⋊Dic3—51no—
226C2×C4⋊Dic3—52no—
227C2×C4⋊Dic3—52no—
228C2×C4⋊Dic3—516no—
229#897—58no—
230#897—58no—
231#886—516no—
232#886—516no—
233C4×D12—58no—
234#869—58no—
235C24×C5—31no—
236C24×C5C22×D312yes—
237C23×D5—31no—
238C5×#41—632no—
239C2×C5×Q8—34no—
240C2×C5×Q8—64no—
241C2×C5×D4—38no—
242C2×C5×D4—68no—
243C2×C5×D4D1218yescomplemented
244C2×C5×D4C22×D314yes—
245C22×C4×C5—31no—
246C22×C4×C5—32no—
247C22×C4×C5—38no—
248C22×C4×C5—34no—
249C22×C4×C5—68no—
250C22×C4×C5—64no—
251C22×C4×C5C22×D311yescharacteristic
252C2×C22⋊D5—38no—
253C2×C22⋊D5—34no—
254C2×C22⋊D5—68no—
255C2×C22⋊D5—64no—
256C22×Dic5—28no—
257C22×Dic5—32no—
258C22×Dic5—31no—
259C22×Dic5—38no—
260C22×Dic5—68no—
261C22×Dic5C22×D311yescharacteristic
262C22×Dic5C22×D312yes—
263C22×Dic5C22×D318yes—
264C22×Dic5C22×D311yescharacteristic
265#711—632no—
266C2×C4×D5—34no—
267C2×C4×D5—64no—
268C2×Dic10—34no—
269C2×Dic10—64no—
270C22⋊Dic5—38no—
271C22⋊Dic5—34no—
272C22⋊Dic5C22×D318yes—
273#685—34no—
274#685—38no—
275C4⋊Dic5C22×D314yes—
276#683—34no—
277#683—38no—
278#683—38no—
279#683—38no—
280#683—38no—
281C4×Dic5C22×D314yes—
282C22×#41—31no—
283C22×#41—151no—
284#547—1516no—
285C2×C4⋊Q8—151no—
286C2×#123—152no—
287C2×#123—152no—
288C2×C22⋊Q8—151no—
289C2×C22⋊Q8—151no—
290C2×#121—152no—
291C2×C4×D4—51no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5—216no—
295C22×C3×C5—24no—
296C22×C3×C5—24no—
297C22×C3×C5C22×D418yes—
298C22×C3×C5C22×D412yes—
299C22×C3×C5C2×#4112yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×D15—22no—
303C2×D15—22no—
304C2×D15—22no—
305C2×D15—44no—
306C2×C5×D3—22no—
307C2×C5×D3—22no—
308C2×C5×D3—22no—
309C2×C5×D3—44no—
310C3×C4×C5C22×D414yes—
311Dic15—24no—
312Dic15—22no—
313C3×Dic5—24no—
314C3×Dic5—22no—
315C3×Dic5C2×#4114yescomplemented
316C5×Dic3—24no—
317C5×Dic3—22no—
318C24×C3C22×D512yes—
319C23×D3—51no—
320C23×D3C22×D511yescharacteristic
321C2×C3×D4C22⋊D518yescomplemented
322C2×C3×D4C22×D514yes—
323C22×C3×C4—51no—
324C22×C3×C4—51no—
325C22×C3×C4—52no—
326C22×C3×C4—58no—
327C22×C3×C4—108no—
328C22×C3×C4C22×D511yescharacteristic
329C2×#67—28no—
330C2×#67—58no—
331C2×#67—108no—
332C2×#67C22×D518yes—
333C22×Dic3—28no—
334C22×Dic3—58no—
335C22×Dic3—52no—
336C22×Dic3—51no—
337C22×Dic3—108no—
338C22×Dic3C22×D518yes—
339C22×Dic3C22×D512yes—
340C22×Dic3C22×D511yescharacteristic
341#237—232no—
342#237—1032no—
343C2×D12—54no—
344C2×D12—104no—
345C2×C4×D3—24no—
346C2×C4×D3—54no—
347C2×C4×D3—104no—
348C2×C4×D3C22×D514yes—
349C2×Dic6—24no—
350C2×Dic6—54no—
351C2×Dic6—104no—
352C2×Dic6C22×D514yes—
353C3×C4⋊C4—54no—
354C3×C22⋊C4—58no—
355C3×C42—54no—
356(C2×D3)⋊C4—54no—
357(C2×D3)⋊C4—58no—
358(C2×D3)⋊C4—54no—
359(C2×D3)⋊C4—58no—
360C4⋊Dic3—58no—
361C4⋊Dic3—58no—
362C4⋊Dic3—54no—
363C4⋊Dic3—58no—
364C4⋊Dic3—58no—
365C23×C5—24no—
366C23×C5—24no—
367C23×C5—32no—
368C23×C5—62no—
369C23×C5—62no—
370C23×C5—62no—
371C23×C5C2×D1218yes—
372C23×C5C23×D314yes—
373C23×C5C23×D311yescharacteristic
374C22×D5—32no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5—62no—
378C5×Q8—68no—
379C5×D4—616no—
380C5×D4C2×D12116yescomplemented
381C2×C4×C5—32no—
382C2×C4×C5—34no—
383C2×C4×C5—62no—
384C2×C4×C5—64no—
385C2×C4×C5—616no—
386C2×C4×C5—68no—
387C2×C4×C5C2×D1214yes—
388C2×C4×C5C23×D312yes—
389C22⋊D5—616no—
390C22⋊D5—68no—
391C2×Dic5—24no—
392C2×Dic5—22no—
393C2×Dic5—216no—
394C2×Dic5—34no—
395C2×Dic5—32no—
396C2×Dic5—64no—
397C2×Dic5—62no—
398C2×Dic5—616no—
399C2×Dic5#23714yescomplemented
400C2×Dic5C23×D312yes—
401C2×Dic5C23×D314yes—
402C2×Dic5C23×D312yes—
403C4×D5—68no—
404Dic10—68no—
405C2×#41—38no—
406C2×#41—68no—
407C2×#41—158no—
408C2×#41—308no—
409C22×Q8—31no—
410C22×Q8—151no—
411C22×D4—32no—
412C22×D4—151no—
413C22×D4—152no—
414C22×D4D3×D511yescharacteristic
415C23×C4—32no—
416C23×C4—31no—
417C23×C4—52no—
418C23×C4—152no—
419C23×C4—151no—
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—158no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—58no—
427C4×D4—158no—
428C2×C4⋊C4—51no—
429C2×C4⋊C4—151no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—1516no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—52no—
436C2×C22⋊C4—151no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—151no—
439C2×C22⋊C4—152no—
440C2×C42—51no—
441C2×C3×C5—28no—
442C2×C3×C5#54714yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—42no—
447C5×D3—42no—
448C23×C3—24no—
449C23×C3—24no—
450C23×C3C2×C22⋊D518yes—
451C23×C3C23×D514yes—
452C23×C3C23×D511yescharacteristic
453C22×D3—22no—
454C22×D3—22no—
455C22×D3—22no—
456C22×D3—52no—
457C22×D3—102no—
458C22×D3—102no—
459C22×D3—102no—
460C22×D3C23×D512yes—
461C3×D4C2×C22⋊D5116yescomplemented
462C2×C3×C4—54no—
463C2×C3×C4—52no—
464C2×C3×C4—52no—
465C2×C3×C4—54no—
466C2×C3×C4—1016no—
467C2×C3×C4—104no—
468C2×C3×C4—102no—
469C2×C3×C4C2×C22⋊D514yes—
470C2×C3×C4C23×D512yes—
471#67—216no—
472#67—1016no—
473C2×Dic3—24no—
474C2×Dic3—22no—
475C2×Dic3—216no—
476C2×Dic3—54no—
477C2×Dic3—52no—
478C2×Dic3—104no—
479C2×Dic3—102no—
480C2×Dic3—1016no—
481C2×Dic3C23×D514yes—
482C2×Dic3C23×D512yes—
483D12—108no—
484C4×D3—28no—
485C4×D3—108no—
486Dic6—28no—
487Dic6—108no—
488C22×C5—24no—
489C22×C5—24no—
490C22×C5—216no—
491C22×C5—62no—
492C22×C5—62no—
493C22×C5—62no—
494C22×C5—124no—
495C22×C5C22×D1218yes—
496C22×C5C22×D1212yes—
497C22×C5C2×#23712yes—
498C22×C5#101012yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—62no—
505C4×C5—64no—
506C4×C5C22×D1214yes—
507Dic5—24no—
508Dic5—22no—
509Dic5—64no—
510Dic5—62no—
511Dic5C2×#23714yescomplemented
512C24—31no—
513C24—151no—
514C24C2×D3×D512yes—
515#41—632no—
516#41—3032no—
517C2×Q8—34no—
518C2×Q8—64no—
519C2×Q8—154no—
520C2×Q8—304no—
521C2×D4—38no—
522C2×D4—68no—
523C2×D4—154no—
524C2×D4—158no—
525C2×D4—304no—
526C2×D4—308no—
527C2×D4#120318yescomplemented
528C2×D4C2×D3×D514yes—
529C22×C4—38no—
530C22×C4—31no—
531C22×C4—32no—
532C22×C4—34no—
533C22×C4—51no—
534C22×C4—58no—
535C22×C4—51no—
536C22×C4—52no—
537C22×C4—68no—
538C22×C4—64no—
539C22×C4—108no—
540C22×C4—158no—
541C22×C4—151no—
542C22×C4—152no—
543C22×C4—154no—
544C22×C4—308no—
545C22×C4—304no—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—54no—
548C4⋊C4—154no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—158no—
553C22⋊C4—58no—
554C22⋊C4—154no—
555C22⋊C4—158no—
556C22⋊C4—154no—
557C22⋊C4—158no—
558C42—54no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—216no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3D5×#4112yes—
564C22×C3#415012yes—
565C22×C3C22×C22⋊D518yes—
566C22×C3C22×C22⋊D512yes—
567C22×C3C24×D511yescharacteristic
568C2×D3—22no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—44no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—204no—
576C3×C4—54no—
577C3×C4—104no—
578C3×C4—102no—
579C3×C4C22×C22⋊D514yes—
580Dic3—24no—
581Dic3—22no—
582Dic3—104no—
583Dic3—102no—
584C2×C5—28no—
585C2×C5—122no—
586C2×C5#555514yescomplemented
587C2×C5C23×D1211yescharacteristic
588C2×C5C22×#23711yescharacteristic
589C2×C5C2×#101011yescharacteristic
590D5—122no—
591C23—24no—
592C23—24no—
593C23—32no—
594C23—62no—
595C23—62no—
596C23—62no—
597C23—152no—
598C23—302no—
599C23—302no—
600C23—302no—
601C23C2×#120318yes—
602C23C22×D3×D514yes—
603C23C22×D3×D511yescharacteristic
604Q8—68no—
605Q8—308no—
606D4—616no—
607D4—308no—
608D4—3016no—
609D4C2×#1203116yescomplemented
610C2×C4—32no—
611C2×C4—34no—
612C2×C4—54no—
613C2×C4—52no—
614C2×C4—52no—
615C2×C4—54no—
616C2×C4—62no—
617C2×C4—64no—
618C2×C4—616no—
619C2×C4—68no—
620C2×C4—1016no—
621C2×C4—102no—
622C2×C4—104no—
623C2×C4—152no—
624C2×C4—154no—
625C2×C4—302no—
626C2×C4—304no—
627C2×C4—3016no—
628C2×C4—308no—
629C2×C4C2×#120314yes—
630C2×C4C22×D3×D512yes—
631C2×C3—28no—
632C2×C3#6615814yescomplemented
633C2×C3C2×D5×#4111yescharacteristic
634C2×C3C2×#415011yescharacteristic
635C2×C3C23×C22⋊D511yescharacteristic
636D3—42no—
637D3—202no—
638C5C2×#555511yescharacteristic, complemented, Sylow
639C22—216no—
640C22—24no—
641C22—24no—
642C22—62no—
643C22—62no—
644C22—62no—
645C22—124no—
646C22—302no—
647C22—302no—
648C22—302no—
649C22—604no—
650C22#9202012yes—
651C22D5×#23712yes—
652C22C22×#120318yes—
653C22C22×#120312yes—
654C22C23×D3×D511yescharacteristic
655C4—54no—
656C4—62no—
657C4—64no—
658C4—102no—
659C4—104no—
660C4—302no—
661C4—304no—
662C4C22×#120314yes—
663C3C2×#6615811yescharacteristic, complemented, Sylow
664C2—28no—
665C2—122no—
666C2—602no—
667C2#1175496514yesdirect product factor
668C2C2×#9202011yescharacteristic
669C2C2×D5×#23711yescharacteristic
670C2C23×#120311yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#6819C2semidirect
2. C22×C5×#237C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. C2×#91566C2semidirect
5. C2×#91543C2semidirect
6. C2×#91542C2semidirect
7. C22×#6668C2semidirect
8. #11754965C2direct (N × H)
9. C2×C4×#1203C2semidirect
10. C2×#91383C2semidirect
11. C2×#91376C2semidirect
12. C2×#91365C2semidirect
18. C2×#6819C22semidirect
24. C2×C5×#237C22semidirect
30. C3×D4×Dic5C22semidirect
33. #91566C22semidirect
34. #91543C22semidirect
35. #91542C22semidirect
41. C2×#6668C22semidirect
46. C4×#1203C22semidirect
47. #91383C22semidirect
48. #91376C22semidirect
49. #91365C22semidirect
58. C2×D4×Dic5D3semidirect
66. C2×C3×C5×D4D4semidirect
111. C22×#237D5semidirect
144. D4×Dic5C2×D3semidirect
172. C3×C5×D4C2×D4semidirect
194. C2×C3×Dic5#41semidirect
208. C2×#237C2×D5semidirect
243. C2×C5×D4D12semidirect
315. C3×Dic5C2×#41semidirect
321. C2×C3×D4C22⋊D5semidirect
380. C5×D4C2×D12semidirect
399. C2×Dic5#237semidirect
442. C2×C3×C5#547semidirect
461. C3×D4C2×C22⋊D5semidirect
511. Dic5C2×#237semidirect
527. C2×D4#1203semidirect
559. C3×C5C2×#547semidirect
586. C2×C5#5555semidirect
609. D4C2×#1203semidirect
632. C2×C3#66158semidirect
638. C5C2×#5555semidirect
663. C3C2×#66158semidirect
667. C2#11754965direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68192
C22×C5×#2372
C2×C3×D4×Dic52
C2×#915662
C2×#915432
C2×#915422
C22×#66682
#117549652
C2×C4×#12032
C2×#913832
C2×#913762
C2×#913652
C2×#661583
C2×#55555