Finite Group Databasebeta

← #14321188

Subgroups — #14321188

Order 1920.

1872 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#237C211yesmaximal, characteristic
2C2×#91529C211yesmaximal, characteristic, complemented
3C22×Dic3×Dic5C211yesmaximal, characteristic, complemented
4#11751321C211yesmaximal, characteristic, complemented
5C3×#65509C211yesmaximal, characteristic, complemented
6#11749501C211yesmaximal, characteristic, complemented
7#11749492C211yesmaximal, characteristic, complemented
8Dic3×C22⋊Dic5C212yesmaximal, complemented
9#11749482C212yesmaximal, complemented
10#11748719C212yesmaximal, complemented
11#11748692C212yesmaximal, complemented
12#10615817—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2211yescharacteristic
15C22×C5×#67C2211yescharacteristic
16C22×C5×#67C2211yescharacteristic
17C23×C5×Dic3C2211yescharacteristic
18C23×C5×Dic3C2211yescharacteristic
19C2×C5×#237—24no—
20C2×C5×#237—24no—
21C2×C5×#237C418yescomplemented
22C22×C4×C5×D3C2211yescharacteristic
23C22×C5×Dic6C2211yescharacteristic
24C23×C3×Dic5C2211yescharacteristic
25C2×#6719C2211yescharacteristic
26C2×#6719C2212yes—
27C2×C3×C22⋊Dic5C2211yescharacteristic
28C2×C3×C22⋊Dic5C2212yes—
29C2×Dic3⋊Dic5C2212yes—
30C2×(C2×D3)⋊Dic5C2212yes—
31C2×(C2×D3)⋊Dic5C2212yes—
32#91529—24no—
33C2×Dic3×Dic5—24no—
34C2×Dic3×Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36C2×Dic3×Dic5C2212yes—
37#91115C2212yes—
38C3×#3963C2212yes—
39#90994C2212yes—
40#90994C2212yes—
41#74658—51nomaximal, Hall
42C22×C5×#41—31no—
43C2×#4072—31no—
44C22×C4×Dic5—31no—
45#65519—32no—
46#65510—32no—
47#65509—31no—
48#65509—31no—
49#65509—31no—
50#65509D311yescharacteristic, complemented
51C4×C22⋊Dic5—32no—
52C4×C22⋊Dic5—32no—
53C24×C3×C5C2311yescharacteristic
54C24×C3×C5C2311yescharacteristic
55C23×C5×D3C2311yescharacteristic
56C2×C3×C5×D4—22no—
57C2×C3×C5×D4—22no—
58C2×C3×C5×D4C2×C414yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×Dic15—22no—
61C22×Dic15—24no—
62C22×Dic15C2312yes—
63C22×Dic15C2312yes—
64C2×C5×#67—22no—
65C2×C5×#67—22no—
66C2×C5×#67—22no—
67C2×C5×#67—22no—
68C2×C5×#67C2×C414yes—
69C2×C5×#67C2×C414yescomplemented
70C22×C5×Dic3—22no—
71C22×C5×Dic3—22no—
72C22×C5×Dic3C2×C414yes—
73C22×C5×Dic3C2×C414yescomplemented
74C22×C5×Dic3D414yes—
75C22×C5×Dic3D414yes—
76C22×C5×Dic3C2311yescharacteristic
77C22×C5×Dic3C2311yescharacteristic
78C22×C5×Dic3C2311yescharacteristic
79C5×#237—232no—
80C2×C4×C5×D3—22no—
81C2×C4×C5×D3—22no—
82C2×C4×C5×D3C2×C414yescomplemented
83C2×C5×Dic6—22no—
84C2×C5×Dic6—22no—
85C2×C5×Dic6C2×C414yescomplemented
86C22×C3×Dic5—22no—
87C22×C3×Dic5—24no—
88C22×C3×Dic5C2312yes—
89C22×C3×Dic5C2312yes—
90#6719—22no—
91#6719—24no—
92C3×C22⋊Dic5—22no—
93C3×C22⋊Dic5—24no—
94Dic3⋊Dic5—24no—
95(C2×D3)⋊Dic5—24no—
96(C2×D3)⋊Dic5—24no—
97Dic3×Dic5—24no—
98Dic3×Dic5—24no—
99Dic3×Dic5—24no—
100C22×#237D511yescharacteristic
101C22×C4×Dic3—51no—
102C2×#877—51no—
103C3×#386—51no—
104#5220—51no—
105#5213—51no—
106#4958—51no—
107#4957—52no—
108Dic3×C22⋊C4—52no—
109#4666—52no—
110#4646—52no—
111C2×C5×#41—38no—
112C2×C5×#41—64no—
113C2×C5×#41—64no—
114C22×C5×Q8—31no—
115C22×C5×D4—31no—
116C22×C5×D4—31no—
117C22×C5×D4C2×D311yescharacteristic
118C23×C4×C5—31no—
119C23×C4×C5—31no—
120C23×C4×C5—31no—
121C23×Dic5—31no—
122C23×Dic5C2×D311yescharacteristic
123C2×C22⋊Dic5—31no—
124C2×C22⋊Dic5—32no—
125C2×C22⋊Dic5—32no—
126C2×C22⋊Dic5—32no—
127C2×C22⋊Dic5C2×D311yescharacteristic
128C2×C22⋊Dic5C2×D312yes—
129#4072—64no—
130C2×C4⋊Dic5—32no—
131C2×C4×Dic5—32no—
132C2×C4×Dic5—32no—
133C2×C4×Dic5—32no—
134C2×C4×Dic5—64no—
135#3963—32no—
136#3963—32no—
137#3963—32no—
138#3963C2×D312yes—
139#2297—151noSylow
140C23×C3×C5—22no—
141C23×C3×C5—22no—
142C23×C3×C5—21no—
143C23×C3×C5—21no—
144C23×C3×C5—22no—
145C23×C3×C5—22no—
146C23×C3×C5C22×C412yes—
147C23×C3×C5C22×C412yes—
148C23×C3×C5C2×D412yes—
149C23×C3×C5C2×D412yes—
150C23×C3×C5C2411yescharacteristic
151C22×C5×D3—21no—
152C22×C5×D3—21no—
153C22×C5×D3—22no—
154C22×C5×D3—22no—
155C22×C5×D3C22×C412yes—
156C3×C5×D4—28no—
157C2×C3×C4×C5—21no—
158C2×C3×C4×C5—21no—
159C2×C3×C4×C5C22×C412yes—
160C2×Dic15—28no—
161C2×Dic15—22no—
162C2×Dic15—22no—
163C2×Dic15—22no—
164C2×Dic15—22no—
165C2×Dic15—22no—
166C2×Dic15#4114yescomplemented
167C5×#67—28no—
168C5×#67—28no—
169C2×C5×Dic3—21no—
170C2×C5×Dic3—21no—
171C2×C5×Dic3—28no—
172C2×C5×Dic3C22⋊C4116yescomplemented
173C2×C5×Dic3C22×C412yes—
174C2×C5×Dic3C22×C412yes—
175C2×C5×Dic3C22×C412yes—
176C2×C5×Dic3C2×D412yes—
177C2×C5×Dic3C2×D412yes—
178C2×C5×Dic3C2×D412yes—
179C2×C5×Dic3C2×D412yes—
180C4×C5×D3—28no—
181C5×Dic6—28no—
182C2×C3×Dic5—28no—
183C2×C3×Dic5—22no—
184C2×C3×Dic5—22no—
185C2×C3×Dic5—22no—
186C2×C3×Dic5—22no—
187C2×C3×Dic5—22no—
188C2×C3×Dic5#4114yescomplemented
189C22×C3×D4C2×D511yescharacteristic
190C23×C3×C4—51no—
191C22×#67C2×D511yescharacteristic
192C22×#67C2×D511yescharacteristic
193C23×Dic3—51no—
194C23×Dic3C2×D511yescharacteristic
195C23×Dic3C2×D511yescharacteristic
196C2×#237—24no—
197C2×#237—24no—
198C2×#237Dic518yescomplemented
199C22×C4×D3C2×D511yescharacteristic
200C22×Dic6C2×D511yescharacteristic
201C2×C3×C22⋊C4—52no—
202C2×C3×C22⋊C4—51no—
203C2×#217—52no—
204C2×#217—51no—
205C2×(C2×D3)⋊C4—52no—
206C2×(C2×D3)⋊C4—52no—
207C2×Dic3⋊C4—52no—
208C2×C4×Dic3—52no—
209C2×C4×Dic3—52no—
210C2×C4×Dic3—52no—
211C2×C4×Dic3—104no—
212#877—104no—
213C3×#95—52no—
214C3⋊#95—52no—
215C3⋊#95—52no—
216C3⋊#95—52no—
217C24×C5—31no—
218C24×C5C22×D311yescharacteristic
219C24×C5C22×D311yescharacteristic
220C5×#41—632no—
221C2×C5×Q8—34no—
222C2×C5×Q8—62no—
223C2×C5×Q8—62no—
224C2×C5×D4—22no—
225C2×C5×D4—22no—
226C2×C5×D4—34no—
227C2×C5×D4—34no—
228C2×C5×D4—62no—
229C2×C5×D4—62no—
230C2×C5×D4—62no—
231C2×C5×D4—62no—
232C2×C5×D4C4×D314yes—
233C22×C4×C5—34no—
234C22×C4×C5—34no—
235C22×C4×C5—34no—
236C22×C4×C5—31no—
237C22×C4×C5—31no—
238C22×C4×C5—34no—
239C22×C4×C5—31no—
240C22×C4×C5—34no—
241C22×C4×C5—62no—
242C22×C4×C5—62no—
243C22×C4×C5—62no—
244C22×C4×C5—62no—
245C22×C4×C5C22×D311yescharacteristic
246C22×Dic5—22no—
247C22×Dic5—24no—
248C22×Dic5—32no—
249C22×Dic5—32no—
250C22×Dic5—64no—
251C22×Dic5—62no—
252C22×Dic5C22×D312yes—
253C22×Dic5C22×D312yes—
254C22⋊Dic5—22no—
255C22⋊Dic5—24no—
256C22⋊Dic5—64no—
257C22⋊Dic5—64no—
258C22⋊Dic5—62no—
259C22⋊Dic5—64no—
260C4⋊Dic5—64no—
261C4×Dic5—64no—
262C4×Dic5—64no—
263C4×Dic5—64no—
264C22×#41—31no—
265C2×#117—151no—
266C22×C42—151no—
267#391—152no—
268#390—152no—
269#386—51no—
270#386—151no—
271#386—151no—
272#386—151no—
273C4×C22⋊C4—152no—
274C4×C22⋊C4—152no—
275C22×C3×C5—24no—
276C22×C3×C5—22no—
277C22×C3×C5—22no—
278C22×C3×C5—24no—
279C22×C3×C5—22no—
280C22×C3×C5—24no—
281C22×C3×C5—41no—
282C22×C3×C5—41no—
283C22×C3×C5—42no—
284C22×C3×C5C2×C22⋊C414yes—
285C22×C3×C5C23×C411yescharacteristic
286C22×C3×C5C22×D411yescharacteristic
287C22×C3×C5C22×D411yescharacteristic
288C22×C3×C5C2×#4112yes—
289C22×C3×C5C2×#4112yes—
290C2×C5×D3—22no—
291C2×C5×D3—24no—
292C2×C5×D3—41no—
293C2×C5×D3—41no—
294C2×C5×D3—42no—
295C3×C4×C5—22no—
296Dic15—24no—
297Dic15—42no—
298C3×Dic5—24no—
299C3×Dic5—42no—
300C5×Dic3—22no—
301C5×Dic3C2×C22⋊C414yes—
302C5×Dic3C2×C22⋊C414yes—
303C24×C3C22×D511yescharacteristic
304C24×C3C22×D511yescharacteristic
305C23×D3C22×D511yescharacteristic
306C2×C3×D4—22no—
307C2×C3×D4—22no—
308C2×C3×D4C2×Dic514yes—
309C22×C3×C4—52no—
310C22×C3×C4—52no—
311C22×C3×C4—104no—
312C22×C3×C4—102no—
313C22×C3×C4C22×D511yescharacteristic
314C2×#67—22no—
315C2×#67—22no—
316C2×#67—22no—
317C2×#67—22no—
318C2×#67C2×Dic514yes—
319C2×#67C2×Dic514yescomplemented
320C22×Dic3—22no—
321C22×Dic3—22no—
322C22×Dic3—52no—
323C22×Dic3—52no—
324C22×Dic3—104no—
325C22×Dic3—102no—
326C22×Dic3C2×Dic514yes—
327C22×Dic3C2×Dic514yescomplemented
328C22×Dic3C22⋊D514yes—
329C22×Dic3C22⋊D514yes—
330C22×Dic3C22×D511yescharacteristic
331C22×Dic3C22×D511yescharacteristic
332C22×Dic3C22×D511yescharacteristic
333#237—232no—
334C2×C4×D3—22no—
335C2×C4×D3—22no—
336C2×C4×D3C2×Dic514yescomplemented
337C2×Dic6—22no—
338C2×Dic6—22no—
339C2×Dic6C2×Dic514yescomplemented
340C3×C22⋊C4—104no—
341C3×C22⋊C4—102no—
342#217—104no—
343#217—102no—
344(C2×D3)⋊C4—104no—
345(C2×D3)⋊C4—104no—
346Dic3⋊C4—104no—
347C4×Dic3—104no—
348C4×Dic3—104no—
349C4×Dic3—104no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5—21no—
353C23×C5—21no—
354C23×C5—22no—
355C23×C5—22no—
356C23×C5—32no—
357C23×C5—61no—
358C23×C5—61no—
359C23×C5—62no—
360C23×C5—62no—
361C23×C5C2×C4×D312yes—
362C23×C5C2×C4×D312yes—
363C23×C5D3×D412yes—
364C23×C5D3×D412yes—
365C23×C5C23×D311yescharacteristic
366C5×Q8—68no—
367C5×D4—28no—
368C5×D4—68no—
369C5×D4—68no—
370C2×C4×C5—21no—
371C2×C4×C5—21no—
372C2×C4×C5—316no—
373C2×C4×C5—32no—
374C2×C4×C5—32no—
375C2×C4×C5—32no—
376C2×C4×C5—32no—
377C2×C4×C5—32no—
378C2×C4×C5—32no—
379C2×C4×C5—32no—
380C2×C4×C5—68no—
381C2×C4×C5—68no—
382C2×C4×C5—61no—
383C2×C4×C5—61no—
384C2×C4×C5C2×C4×D312yes—
385C2×Dic5—28no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—34no—
392C2×Dic5—68no—
393C2×Dic5—62no—
394C2×Dic5—62no—
395C2×Dic5—62no—
396C2×Dic5—62no—
397C2×Dic5—62no—
398C2×Dic5#23714yescomplemented
399C2×#41—38no—
400C2×#41—64no—
401C2×#41—64no—
402C22×Q8—31no—
403C22×D4—31no—
404C22×D4—31no—
405C22×D4D3×D511yescharacteristic
406C23×C4—31no—
407C23×C4—31no—
408C23×C4—31no—
409C23×C4—51no—
410C23×C4—151no—
411#117—304no—
412C2×C4⋊C4—152no—
413C2×C22⋊C4—51no—
414C2×C22⋊C4—52no—
415C2×C22⋊C4—152no—
416C2×C22⋊C4—152no—
417C2×C22⋊C4—151no—
418C2×C22⋊C4—152no—
419C2×C42—152no—
420C2×C42—152no—
421C2×C42—152no—
422C2×C42—304no—
423#95—52no—
424#95—152no—
425#95—152no—
426#95—152no—
427C2×C3×C5—24no—
428C2×C3×C5—42no—
429C2×C3×C5C22×C22⋊C411yescharacteristic
430C2×C3×C5C4×#4112yes—
431C2×C3×C5#52511yescharacteristic
432C2×C3×C5#52511yescharacteristic
433C2×C3×C5#53212yes—
434C5×D3—42no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3—21no—
440C23×C3—21no—
441C23×C3C22×Dic512yes—
442C23×C3C22×Dic512yes—
443C23×C3C2×C22⋊D512yes—
444C23×C3C2×C22⋊D512yes—
445C23×C3C23×D511yescharacteristic
446C22×D3—22no—
447C22×D3—22no—
448C22×D3—21no—
449C22×D3—21no—
450C22×D3C22×Dic512yes—
451C3×D4—28no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—54no—
455C2×C3×C4—108no—
456C2×C3×C4—102no—
457C2×C3×C4—102no—
458C2×C3×C4—102no—
459C2×C3×C4—102no—
460C2×C3×C4—102no—
461C2×C3×C4C22×Dic512yes—
462#67—28no—
463#67—28no—
464C2×Dic3—21no—
465C2×Dic3—21no—
466C2×Dic3—28no—
467C2×Dic3—54no—
468C2×Dic3—108no—
469C2×Dic3—102no—
470C2×Dic3—102no—
471C2×Dic3—102no—
472C2×Dic3—102no—
473C2×Dic3—102no—
474C2×Dic3C22⋊Dic5116yescomplemented
475C2×Dic3C22×Dic512yes—
476C2×Dic3C22×Dic512yes—
477C2×Dic3C22×Dic512yes—
478C2×Dic3C2×C22⋊D512yes—
479C2×Dic3C2×C22⋊D512yes—
480C2×Dic3C2×C22⋊D512yes—
481C2×Dic3C2×C22⋊D512yes—
482C4×D3—28no—
483Dic6—28no—
484C22×C5—22no—
485C22×C5—24no—
486C22×C5—22no—
487C22×C5—24no—
488C22×C5—22no—
489C22×C5—24no—
490C22×C5—41no—
491C22×C5—41no—
492C22×C5—42no—
493C22×C5—62no—
494C22×C5—64no—
495C22×C5—121no—
496C22×C5—121no—
497C22×C5—122no—
498C22×C5D3×C22⋊C414yes—
499C22×C5C22×C4×D311yescharacteristic
500C22×C5C2×D3×D411yescharacteristic
501C22×C5C2×D3×D411yescharacteristic
502C22×C5C2×#23712yes—
503C22×C5D3×#4112yes—
504C4×C5—22no—
505C4×C5—34no—
506C4×C5—34no—
507C4×C5—62no—
508Dic5—24no—
509Dic5—42no—
510Dic5—64no—
511Dic5—122no—
512C24—31no—
513C24C2×D3×D511yescharacteristic
514C24C2×D3×D511yescharacteristic
515#41—632no—
516C2×Q8—34no—
517C2×Q8—62no—
518C2×Q8—62no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—34no—
522C2×D4—34no—
523C2×D4—62no—
524C2×D4—62no—
525C2×D4—62no—
526C2×D4—62no—
527C2×D4D3×Dic514yes—
528C22×C4—34no—
529C22×C4—34no—
530C22×C4—34no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—34no—
534C22×C4—31no—
535C22×C4—34no—
536C22×C4—52no—
537C22×C4—52no—
538C22×C4—62no—
539C22×C4—62no—
540C22×C4—62no—
541C22×C4—62no—
542C22×C4—104no—
543C22×C4—102no—
544C22×C4—152no—
545C22×C4—152no—
546C22×C4—304no—
547C22×C4—302no—
548C22×C4C2×D3×D511yescharacteristic
549C4⋊C4—304no—
550C22⋊C4—104no—
551C22⋊C4—102no—
552C22⋊C4—304no—
553C22⋊C4—304no—
554C22⋊C4—304no—
555C22⋊C4—302no—
556C42—304no—
557C42—304no—
558C42—304no—
559C3×C5#229711yescharacteristic, complemented, Hall
560C22×C3—24no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—22no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—42no—
569C22×C3C2×C22⋊Dic514yes—
570C22×C3D5×#4112yes—
571C22×C3D5×#4112yes—
572C22×C3C23×Dic511yescharacteristic
573C22×C3C22×C22⋊D511yescharacteristic
574C22×C3C22×C22⋊D511yescharacteristic
575C2×D3—24no—
576C2×D3—22no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—42no—
580C3×C4—22no—
581C3×C4—104no—
582C3×C4—202no—
583Dic3—22no—
584Dic3—104no—
585Dic3—202no—
586Dic3C2×C22⋊Dic514yes—
587Dic3C2×C22⋊Dic514yes—
588C2×C5—24no—
589C2×C5—42no—
590C2×C5—122no—
591C2×C5C2×D3×C22⋊C411yescharacteristic
592C2×C5C4×#23712yes—
593C2×C5#558611yescharacteristic
594C2×C5#559612yes—
595C2×C5#565611yescharacteristic
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—32no—
603C23—62no—
604C23—62no—
605C23—61no—
606C23—61no—
607C23C2×D3×Dic512yes—
608C23C2×D3×Dic512yes—
609C23D3×C22⋊D512yes—
610C23D3×C22⋊D512yes—
611C23C22×D3×D511yescharacteristic
612Q8—68no—
613D4—28no—
614D4—68no—
615D4—68no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—32no—
619C2×C4—32no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—32no—
624C2×C4—316no—
625C2×C4—32no—
626C2×C4—54no—
627C2×C4—68no—
628C2×C4—68no—
629C2×C4—61no—
630C2×C4—61no—
631C2×C4—108no—
632C2×C4—102no—
633C2×C4—102no—
634C2×C4—102no—
635C2×C4—102no—
636C2×C4—102no—
637C2×C4—154no—
638C2×C4—308no—
639C2×C4—302no—
640C2×C4—302no—
641C2×C4—302no—
642C2×C4—302no—
643C2×C4—302no—
644C2×C4C2×D3×Dic512yes—
645C2×C3—24no—
646C2×C3—42no—
647C2×C3#41×Dic512yes—
648C2×C3#6616211yescharacteristic
649C2×C3#6616211yescharacteristic
650C2×C3#6616612yes—
651C2×C3C22×C22⋊Dic511yescharacteristic
652D3—42no—
653C5#7465811yescharacteristic, complemented, Sylow
654C22—22no—
655C22—24no—
656C22—22no—
657C22—24no—
658C22—24no—
659C22—22no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—64no—
664C22—62no—
665C22—121no—
666C22—122no—
667C22—121no—
668C22D3×C22⋊Dic514yes—
669C22D5×#23712yes—
670C22#9202412yes—
671C22C22×D3×Dic511yescharacteristic
672C22C2×D3×C22⋊D511yescharacteristic
673C22C2×D3×C22⋊D511yescharacteristic
674C4—22no—
675C4—34no—
676C4—34no—
677C4—62no—
678C4—104no—
679C4—202no—
680C4—304no—
681C4—602no—
682C3#1061581711yescharacteristic, complemented, Sylow
683C2—24no—
684C2—42no—
685C2—122no—
686C2#1175480111yescharacteristic
687C2#1175480312yes—
688C2#1175481311yescharacteristic
689C2Dic5×#23712yes—
690C2C2×D3×C22⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×#237C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2297
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×#91529C2semidirect
3. C22×Dic3×Dic5C2semidirect
4. #11751321C2semidirect
5. C3×#65509C2semidirect
6. #11749501C2semidirect
7. #11749492C2semidirect
8. Dic3×C22⋊Dic5C2semidirect
9. #11749482C2semidirect
10. #11748719C2semidirect
11. #11748692C2semidirect
21. C2×C5×#237C4semidirect
50. #65509D3semidirect
69. C2×C5×#67C2×C4semidirect
73. C22×C5×Dic3C2×C4semidirect
82. C2×C4×C5×D3C2×C4semidirect
85. C2×C5×Dic6C2×C4semidirect
166. C2×Dic15#41semidirect
172. C2×C5×Dic3C22⋊C4semidirect
188. C2×C3×Dic5#41semidirect
198. C2×#237Dic5semidirect
319. C2×#67C2×Dic5semidirect
327. C22×Dic3C2×Dic5semidirect
336. C2×C4×D3C2×Dic5semidirect
339. C2×Dic6C2×Dic5semidirect
398. C2×Dic5#237semidirect
474. C2×Dic3C22⋊Dic5semidirect
559. C3×C5#2297semidirect
653. C5#74658semidirect
682. C3#10615817semidirect

Maximal subgroups

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

subgroupindex
C22×C5×#2372
C2×#915292
C22×Dic3×Dic52
#117513212
C3×#655092
#117495012
#117494922
Dic3×C22⋊Dic52
#117494822
#117487192
#117486922
#106158173
#746585