Finite Group Databasebeta

← #14326064

Subgroups — #14326064

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#237C211yesmaximal, characteristic
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
4#11749501C212yesmaximal, complemented
5#11749492C212yesmaximal, complemented
6#11749472C212yesmaximal, complemented
7C2×#90994C212yesmaximal, complemented
8#11748786C211yesmaximal, characteristic, complemented
9C4×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
10#11748607C211yesmaximal, characteristic, complemented
11#11748589C211yesmaximal, characteristic, complemented
12#10615819—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yes—
15C22×C5×#67C2212yes—
16C23×C5×Dic3C2212yes—
17C2×C5×#237—24no—
18C2×C5×#237—24no—
19C2×C5×#237C418yescomplemented
20C22×C4×C5×D3C2211yescharacteristic
21C22×C5×Dic6C2211yescharacteristic
22C23×C3×Dic5C2212yes—
23C2×#6719C2212yes—
24D4×Dic15—24no—
25C2×C4⋊Dic15C2211yescharacteristic
26C2×C4×Dic15C2211yescharacteristic
27C2×C3×C22⋊Dic5C2212yes—
28C3×D4×Dic5—24no—
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C2×C3×C4×Dic5C2211yescharacteristic
31C2×(C2×D3)⋊Dic5C2211yescharacteristic
32C2×(C2×D3)⋊Dic5C2211yescharacteristic
33C2×(C2×D3)⋊Dic5C2212yes—
34#90994C2211yescharacteristic
35#90994C2212yes—
36#90994C2212yes—
37#90994C2212yes—
38#90994C2211yescharacteristic
39#90994C2212yes—
40#90994C2212yes—
41#82330—51nomaximal, Hall
42C22×C5×#41—31no—
43C2×D4×Dic5—31no—
44C2×D4×Dic5D311yescharacteristic, complemented
45#65519—31no—
46#65519—31no—
47#65509—32no—
48#65509—32no—
49#65501—31no—
50#65500—32no—
51C4×C22⋊Dic5—31no—
52C2×#3963—32no—
53C24×C3×C5C2312yes—
54C23×C5×D3C2311yescharacteristic
55C2×C3×C5×D4C2×C414yes—
56C2×C3×C5×D4D414yes—
57C2×C3×C5×D4D414yes—
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15—24no—
60C22×Dic15—24no—
61C22×Dic15—42no—
62C22×Dic15C2311yescharacteristic
63C22×Dic15C2312yes—
64C22×Dic15C2311yescharacteristic
65C2×C5×#67—24no—
66C2×C5×#67—24no—
67C2×C5×#67C2×C418yescomplemented
68C22×C5×Dic3—24no—
69C22×C5×Dic3—24no—
70C22×C5×Dic3C2×C418yescomplemented
71C22×C5×Dic3C2312yes—
72C22×C5×Dic3C2311yescharacteristic
73C5×#237—232no—
74C2×C4×C5×D3—22no—
75C2×C4×C5×D3—22no—
76C2×C4×C5×D3C2×C414yescomplemented
77C2×C5×Dic6—22no—
78C2×C5×Dic6—22no—
79C2×C5×Dic6C2×C414yescomplemented
80C22×C3×Dic5—24no—
81C22×C3×Dic5—24no—
82C22×C3×Dic5—42no—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2312yes—
85C22×C3×Dic5C2311yescharacteristic
86#6719—24no—
87C4⋊Dic15—22no—
88C4×Dic15—22no—
89C3×C22⋊Dic5—24no—
90C3×C4⋊Dic5—22no—
91C3×C4×Dic5—22no—
92(C2×D3)⋊Dic5—22no—
93(C2×D3)⋊Dic5—22no—
94(C2×D3)⋊Dic5—42no—
95C22×#237D511yescharacteristic
96C2×C3×C4×D4—51no—
97C2×D4×Dic3—51no—
98#5213—52no—
99C2×C3⋊#95—52no—
100#4987—51no—
101#4973—51no—
102#4958—52no—
103#4943—52no—
104C4×(C2×D3)⋊C4—51no—
105#4929—51no—
106C2×C5×#41—38no—
107C2×C5×#41—64no—
108C2×C5×#41—64no—
109C22×C5×Q8—31no—
110C22×C5×D4—32no—
111C22×C5×D4C2×D311yescharacteristic
112C23×C4×C5—32no—
113C23×C4×C5—31no—
114C23×Dic5—32no—
115C23×Dic5C2×D312yes—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—31no—
118C2×C22⋊Dic5—31no—
119C2×C22⋊Dic5—32no—
120C2×C22⋊Dic5C2×D312yes—
121D4×Dic5—24no—
122D4×Dic5—64no—
123C2×C4⋊Dic5—31no—
124C2×C4⋊Dic5C2×D311yescharacteristic
125C2×C4×Dic5—31no—
126C2×C4×Dic5C2×D311yescharacteristic
127#3963—31no—
128#3963—32no—
129#3963—32no—
130#3963—32no—
131#3963—31no—
132#3963—32no—
133#3963—32no—
134#2339—151noSylow
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5C22×C414yes—
140C23×C3×C5C2×D414yes—
141C23×C3×C5C2×D414yes—
142C23×C3×C5C2411yescharacteristic
143C22×C5×D3—21no—
144C22×C5×D3—21no—
145C22×C5×D3—21no—
146C22×C5×D3—21no—
147C22×C5×D3—21no—
148C22×C5×D3—21no—
149C22×C5×D3C22×C412yes—
150C3×C5×D4C22⋊C4116yescomplemented
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×Dic15—21no—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15—22no—
158C2×Dic15—21no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—21no—
162C2×Dic15—48no—
163C2×Dic15#4112yescomplemented
164C5×#67—216no—
165C2×C5×Dic3—216no—
166C2×C5×Dic3—22no—
167C2×C5×Dic3—22no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—21no—
170C2×C5×Dic3C22×C414yes—
171C2×C5×Dic3C22×C412yes—
172C4×C5×D3—28no—
173C5×Dic6—28no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—21no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5—22no—
181C2×C3×Dic5—21no—
182C2×C3×Dic5—48no—
183C2×C3×Dic5#4112yescomplemented
184C22×C3×D4C2×D511yescharacteristic
185C23×C3×C4—52no—
186C22×#67C2×D512yes—
187C23×Dic3—52no—
188C23×Dic3C2×D512yes—
189C2×#237—24no—
190C2×#237—24no—
191C2×#237Dic518yescomplemented
192C22×C4×D3C2×D511yescharacteristic
193C22×Dic6C2×D511yescharacteristic
194C3×C4×D4—104no—
195C2×C3×C4⋊C4—51no—
196C2×C3×C22⋊C4—52no—
197C2×C3×C42—51no—
198C2×#217—52no—
199D4×Dic3—104no—
200C2×(C2×D3)⋊C4—51no—
201C2×(C2×D3)⋊C4—51no—
202C2×(C2×D3)⋊C4—52no—
203C2×C4⋊Dic3—51no—
204C2×C4×Dic3—51no—
205C3⋊#95—52no—
206C3⋊#95—52no—
207C3⋊#95—51no—
208C3⋊#95—51no—
209C3⋊#95—52no—
210C3⋊#95—52no—
211C3⋊#95—52no—
212C24×C5—31no—
213C24×C5C22×D312yes—
214C5×#41—632no—
215C2×C5×Q8—34no—
216C2×C5×Q8—62no—
217C2×C5×Q8—62no—
218C2×C5×D4—38no—
219C2×C5×D4—64no—
220C2×C5×D4—64no—
221C2×C5×D4C4×D314yes—
222C2×C5×D4D1214yes—
223C2×C5×D4#6714yes—
224C22×C4×C5—38no—
225C22×C4×C5—31no—
226C22×C4×C5—32no—
227C22×C4×C5—34no—
228C22×C4×C5—64no—
229C22×C4×C5—64no—
230C22×C4×C5—62no—
231C22×C4×C5—62no—
232C22×C4×C5C22×D311yescharacteristic
233C22×Dic5—24no—
234C22×Dic5—24no—
235C22×Dic5—31no—
236C22×Dic5—31no—
237C22×Dic5—32no—
238C22×Dic5—42no—
239C22×Dic5—64no—
240C22×Dic5—64no—
241C22×Dic5—122no—
242C22×Dic5C22×D311yescharacteristic
243C22×Dic5C22×D312yes—
244C22×Dic5C22×D311yescharacteristic
245C22⋊Dic5—24no—
246C22⋊Dic5—62no—
247C22⋊Dic5—64no—
248C22⋊Dic5—62no—
249C22⋊Dic5—122no—
250C4⋊Dic5—22no—
251C4⋊Dic5—62no—
252C4×Dic5—22no—
253C4×Dic5—62no—
254C22×#41—31no—
255C2×C4×D4—51no—
256C2×C4×D4—151no—
257#391—151no—
258#391—151no—
259#386—152no—
260#386—152no—
261#381—152no—
262#380—151no—
263C4×C22⋊C4—151no—
264C2×#95—152no—
265C22×C3×C5—24no—
266C22×C3×C5—24no—
267C22×C3×C5—24no—
268C22×C3×C5—24no—
269C22×C3×C5—24no—
270C22×C3×C5—24no—
271C22×C3×C5C2×C22⋊C418yes—
272C22×C3×C5C23×C411yescharacteristic
273C22×C3×C5C22×D411yescharacteristic
274C22×C3×C5C22×D411yescharacteristic
275C22×C3×C5C2×#4111yescharacteristic
276C22×C3×C5C2×#4111yescharacteristic
277C22×C3×C5H(5,𝔽2)11yescharacteristic
278C22×C3×C52−1+411yescharacteristic
279C2×C5×D3—22no—
280C2×C5×D3—22no—
281C2×C5×D3—22no—
282C2×C5×D3—41no—
283C2×C5×D3—41no—
284C2×C5×D3—41no—
285C2×C5×D3—41no—
286C3×C4×C5C2×C22⋊C414yes—
287Dic15—22no—
288Dic15—42no—
289Dic15—41no—
290C3×Dic5—22no—
291C3×Dic5—42no—
292C3×Dic5—41no—
293C5×Dic3—24no—
294C5×Dic3—22no—
295C24×C3C22×D512yes—
296C23×D3C22×D511yescharacteristic
297C2×C3×D4C2×Dic514yes—
298C2×C3×D4C22⋊D514yes—
299C2×C3×D4C22⋊D514yes—
300C22×C3×C4—51no—
301C22×C3×C4—51no—
302C22×C3×C4—52no—
303C22×C3×C4—104no—
304C22×C3×C4—104no—
305C22×C3×C4—202no—
306C22×C3×C4C22×D511yescharacteristic
307C2×#67—24no—
308C2×#67—24no—
309C2×#67C2×Dic518yescomplemented
310C22×Dic3—24no—
311C22×Dic3—24no—
312C22×Dic3—51no—
313C22×Dic3—51no—
314C22×Dic3—52no—
315C22×Dic3—104no—
316C22×Dic3—104no—
317C22×Dic3—202no—
318C22×Dic3C2×Dic518yescomplemented
319C22×Dic3C22×D512yes—
320C22×Dic3C22×D511yescharacteristic
321#237—232no—
322C2×C4×D3—22no—
323C2×C4×D3—22no—
324C2×C4×D3C2×Dic514yescomplemented
325C2×Dic6—22no—
326C2×Dic6—22no—
327C2×Dic6C2×Dic514yescomplemented
328C3×C4⋊C4—102no—
329C3×C22⋊C4—104no—
330C3×C42—102no—
331#217—104no—
332(C2×D3)⋊C4—102no—
333(C2×D3)⋊C4—102no—
334(C2×D3)⋊C4—202no—
335C4⋊Dic3—102no—
336C4×Dic3—102no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—32no—
342C23×C5—61no—
343C23×C5—61no—
344C23×C5—61no—
345C23×C5—61no—
346C23×C5—61no—
347C23×C5—61no—
348C23×C5C2×C4×D314yes—
349C23×C5C2×D1214yes—
350C23×C5C2×#6714yes—
351C23×C5C23×D311yescharacteristic
352C5×Q8—68no—
353C5×D4—616no—
354C5×D4(C2×D3)⋊C4116yescomplemented
355C2×C4×C5—32no—
356C2×C4×C5—34no—
357C2×C4×C5—616no—
358C2×C4×C5—61no—
359C2×C4×C5—62no—
360C2×C4×C5—61no—
361C2×C4×C5—62no—
362C2×C4×C5—68no—
363C2×C4×C5C2×C4×D312yes—
364C2×C4×C5C2×D1212yes—
365C2×C4×C5C2×#6712yes—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—21no—
373C2×Dic5—22no—
374C2×Dic5—32no—
375C2×Dic5—48no—
376C2×Dic5—61no—
377C2×Dic5—61no—
378C2×Dic5—61no—
379C2×Dic5—62no—
380C2×Dic5—61no—
381C2×Dic5—62no—
382C2×Dic5—62no—
383C2×Dic5—61no—
384C2×Dic5—128no—
385C2×Dic5#23712yescomplemented
386C2×#41—38no—
387C2×#41—64no—
388C2×#41—64no—
389C22×Q8—31no—
390C22×D4—32no—
391C22×D4D3×D511yescharacteristic
392C23×C4—32no—
393C23×C4—31no—
394C23×C4—52no—
395C23×C4—152no—
396C4×D4—104no—
397C4×D4—304no—
398C2×C4⋊C4—51no—
399C2×C4⋊C4—151no—
400C2×C22⋊C4—52no—
401C2×C22⋊C4—151no—
402C2×C22⋊C4—151no—
403C2×C22⋊C4—152no—
404C2×C22⋊C4—152no—
405C2×C42—51no—
406C2×C42—151no—
407#95—151no—
408#95—152no—
409#95—152no—
410#95—152no—
411#95—151no—
412#95—152no—
413#95—152no—
414C2×C3×C5—28no—
415C2×C3×C5C22×C22⋊C411yescharacteristic
416C2×C3×C5C4×#4111yescharacteristic
417C2×C3×C5#52011yescharacteristic
418C2×C3×C5#54611yescharacteristic
419C2×C3×C5#54611yescharacteristic
420C2×C3×C5#54711yescharacteristic
421C2×C3×C5#54711yescharacteristic
422C5×D3—42no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3C22×Dic514yes—
428C23×C3C2×C22⋊D514yes—
429C23×C3C2×C22⋊D514yes—
430C23×C3C23×D511yescharacteristic
431C22×D3—21no—
432C22×D3—21no—
433C22×D3—21no—
434C22×D3—21no—
435C22×D3—21no—
436C22×D3—21no—
437C22×D3C22×Dic512yes—
438C3×D4C22⋊Dic5116yescomplemented
439C2×C3×C4—52no—
440C2×C3×C4—101no—
441C2×C3×C4—101no—
442C2×C3×C4—101no—
443C2×C3×C4—102no—
444C2×C3×C4—102no—
445C2×C3×C4—101no—
446C2×C3×C4—101no—
447C2×C3×C4—102no—
448C2×C3×C4—208no—
449C2×C3×C4C22×Dic512yes—
450C2×C3×C4C2×C22⋊D512yes—
451C2×C3×C4C2×C22⋊D512yes—
452#67—216no—
453C2×Dic3—216no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—21no—
457C2×Dic3—21no—
458C2×Dic3—52no—
459C2×Dic3—101no—
460C2×Dic3—101no—
461C2×Dic3—101no—
462C2×Dic3—102no—
463C2×Dic3—102no—
464C2×Dic3—101no—
465C2×Dic3—101no—
466C2×Dic3—102no—
467C2×Dic3—208no—
468C2×Dic3C22×Dic514yes—
469C2×Dic3C22×Dic512yes—
470C4×D3—28no—
471Dic6—28no—
472C22×C5—24no—
473C22×C5—24no—
474C22×C5—24no—
475C22×C5—24no—
476C22×C5—24no—
477C22×C5—24no—
478C22×C5—62no—
479C22×C5—62no—
480C22×C5—62no—
481C22×C5—121no—
482C22×C5—121no—
483C22×C5—121no—
484C22×C5—121no—
485C22×C5C2×(C2×D3)⋊C418yes—
486C22×C5C22×C4×D311yescharacteristic
487C22×C5C22×D1211yescharacteristic
488C22×C5C2×#23711yescharacteristic
489C22×C5#100411yescharacteristic
490C22×C5D3×#4111yescharacteristic
491C22×C5#101011yescharacteristic
492C22×C5C22×#6711yescharacteristic
493C4×C5—62no—
494C4×C5—64no—
495C4×C5C2×(C2×D3)⋊C414yes—
496Dic5—22no—
497Dic5—42no—
498Dic5—41no—
499Dic5—62no—
500Dic5—122no—
501Dic5—121no—
502C24—31no—
503C24C2×D3×D512yes—
504#41—632no—
505C2×Q8—34no—
506C2×Q8—62no—
507C2×Q8—62no—
508C2×D4—38no—
509C2×D4—64no—
510C2×D4—64no—
511C2×D4D3×Dic514yes—
512C2×D4#120114yes—
513C2×D4#120314yes—
514C22×C4—38no—
515C22×C4—31no—
516C22×C4—32no—
517C22×C4—34no—
518C22×C4—51no—
519C22×C4—51no—
520C22×C4—52no—
521C22×C4—64no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—104no—
526C22×C4—104no—
527C22×C4—151no—
528C22×C4—151no—
529C22×C4—152no—
530C22×C4—202no—
531C22×C4—304no—
532C22×C4—304no—
533C22×C4—602no—
534C22×C4C2×D3×D511yescharacteristic
535C4⋊C4—102no—
536C4⋊C4—302no—
537C22⋊C4—104no—
538C22⋊C4—302no—
539C22⋊C4—302no—
540C22⋊C4—304no—
541C22⋊C4—602no—
542C42—102no—
543C42—302no—
544C3×C5#233911yescharacteristic, complemented, Hall
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3C2×C22⋊Dic518yes—
552C22×C3D5×#4111yescharacteristic
553C22×C3D5×#4111yescharacteristic
554C22×C3#414911yescharacteristic
555C22×C3#415011yescharacteristic
556C22×C3C23×Dic511yescharacteristic
557C22×C3C22×C22⋊D511yescharacteristic
558C22×C3C22×C22⋊D511yescharacteristic
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—41no—
563C2×D3—41no—
564C2×D3—41no—
565C2×D3—41no—
566C3×C4—102no—
567C3×C4—201no—
568C3×C4—202no—
569C3×C4C2×C22⋊Dic514yes—
570Dic3—24no—
571Dic3—22no—
572Dic3—102no—
573Dic3—201no—
574Dic3—202no—
575C2×C5—28no—
576C2×C5—122no—
577C2×C5C4×#23711yescharacteristic
578C2×C5#554611yescharacteristic
579C2×C5#555411yescharacteristic
580C2×C5#555511yescharacteristic
581C2×C5C22×(C2×D3)⋊C411yescharacteristic
582C2×C5#580611yescharacteristic
583C2×C5#582411yescharacteristic
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—32no—
589C23—61no—
590C23—61no—
591C23—61no—
592C23—61no—
593C23—61no—
594C23—61no—
595C23C2×D3×Dic514yes—
596C23C2×#120114yes—
597C23C2×#120314yes—
598C23C22×D3×D511yescharacteristic
599Q8—68no—
600D4—616no—
601D4(C2×D3)⋊Dic5116yescomplemented
602C2×C4—32no—
603C2×C4—34no—
604C2×C4—52no—
605C2×C4—61no—
606C2×C4—62no—
607C2×C4—61no—
608C2×C4—62no—
609C2×C4—616no—
610C2×C4—68no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—102no—
615C2×C4—101no—
616C2×C4—102no—
617C2×C4—101no—
618C2×C4—102no—
619C2×C4—152no—
620C2×C4—208no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—301no—
625C2×C4—302no—
626C2×C4—302no—
627C2×C4—301no—
628C2×C4—302no—
629C2×C4—608no—
630C2×C4C2×D3×Dic512yes—
631C2×C4C2×#120112yes—
632C2×C4C2×#120312yes—
633C2×C3—28no—
634C2×C3#6615811yescharacteristic
635C2×C3#6615811yescharacteristic
636C2×C3#41×Dic511yescharacteristic
637C2×C3#6616111yescharacteristic
638C2×C3#6616311yescharacteristic
639C2×C3#6616311yescharacteristic
640C2×C3C22×C22⋊Dic511yescharacteristic
641D3—42no—
642C5#8233011yescharacteristic, complemented, Sylow
643C22—24no—
644C22—24no—
645C22—24no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—62no—
650C22—62no—
651C22—62no—
652C22—121no—
653C22—121no—
654C22—121no—
655C22—121no—
656C22C2×(C2×D3)⋊Dic518yes—
657C22#9202011yescharacteristic
658C22D5×#23711yescharacteristic
659C22#9202411yescharacteristic
660C22#9202611yescharacteristic
661C22C22×D3×Dic511yescharacteristic
662C22C22×#120111yescharacteristic
663C22C22×#120311yescharacteristic
664C4—62no—
665C4—64no—
666C4—102no—
667C4—202no—
668C4—201no—
669C4—302no—
670C4—601no—
671C4—602no—
672C4C2×(C2×D3)⋊Dic514yes—
673C3#1061581911yescharacteristic, complemented, Sylow
674C2—28no—
675C2—122no—
676C2Dic5×#23711yescharacteristic
677C2#1175492011yescharacteristic
678C2#1175496111yescharacteristic
679C2#1175496511yescharacteristic
680C2#1175497711yescharacteristic
681C2#1175498211yescharacteristic
682C2C22×(C2×D3)⋊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#2339
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×D4×Dic15C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. #11749501C2semidirect
5. #11749492C2semidirect
6. #11749472C2semidirect
7. C2×#90994C2semidirect
8. #11748786C2semidirect
9. C4×(C2×D3)⋊Dic5C2semidirect
10. #11748607C2semidirect
11. #11748589C2semidirect
19. C2×C5×#237C4semidirect
44. C2×D4×Dic5D3semidirect
67. C2×C5×#67C2×C4semidirect
70. C22×C5×Dic3C2×C4semidirect
76. C2×C4×C5×D3C2×C4semidirect
79. C2×C5×Dic6C2×C4semidirect
150. C3×C5×D4C22⋊C4semidirect
163. C2×Dic15#41semidirect
183. C2×C3×Dic5#41semidirect
191. C2×#237Dic5semidirect
309. C2×#67C2×Dic5semidirect
318. C22×Dic3C2×Dic5semidirect
324. C2×C4×D3C2×Dic5semidirect
327. C2×Dic6C2×Dic5semidirect
354. C5×D4(C2×D3)⋊C4semidirect
385. C2×Dic5#237semidirect
438. C3×D4C22⋊Dic5semidirect
544. C3×C5#2339semidirect
601. D4(C2×D3)⋊Dic5semidirect
642. C5#82330semidirect
673. C3#10615819semidirect

Maximal subgroups

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

subgroupindex
C22×C5×#2372
C2×D4×Dic152
C2×C3×D4×Dic52
#117495012
#117494922
#117494722
C2×#909942
#117487862
C4×(C2×D3)⋊Dic52
#117486072
#117485892
#106158193
#823305