Finite Group Databasebeta

← #14329479

Subgroups — #14329479

Order 1920.

1664 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C5×D12C211yesmaximal, characteristic, complemented
2C2×#91451C211yesmaximal, characteristic
3C2×#91446C212yesmaximal, complemented
4C2×#91418C211yesmaximal, characteristic, complemented
5#11751040C211yesmaximal, characteristic, complemented
6C3×C4×#683C211yesmaximal, characteristic, complemented
7#11748919C212yesmaximal, complemented
8#11748914C212yesmaximal, complemented
9#11748909C212yesmaximal, complemented
10#11748764C211yesmaximal, characteristic, complemented
11Dic5×C4⋊Dic3C211yesmaximal, characteristic, complemented
12#10614074—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C5×D12C2211yescharacteristic
15C22×C4×C5×D3C2212yes—
16C22×#1203C2212yes—
17C22×#1203C2212yes—
18C22×#1200C2212yes—
19C2×C3×C42×C5C2211yescharacteristic
20C2×#6714C2212yes—
21C2×#6714C2212yes—
22C2×C4⋊Dic15C2211yescharacteristic
23C2×C5×(C2×D3)⋊C4C2212yes—
24C2×C5×C4⋊Dic3C2211yescharacteristic
25C4×C5×D12—24no—
26C2×C3×#683C2211yescharacteristic
27C2×C3×#683C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2211yescharacteristic
30C2×#6667C2212yes—
31C2×(C2×D3)⋊Dic5C2212yes—
32C2×(C2×D3)⋊Dic5C2212yes—
33C2×Dic3×Dic5C2212yes—
34#91451C418yescomplemented
35#91446—28no—
36#91418—24no—
37C3×#3963C2211yescharacteristic
38C3×#3963C2211yescharacteristic
39#90994C2212yes—
40#73653—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×#4086—31no—
43C2×C4×C22⋊D5—32no—
44C2×#4039—31no—
45#65510—31no—
46#65502—32no—
47C4⋊C4×Dic5—31no—
48#65246—32no—
49#65245—32no—
50#65228—31no—
51C4×#683D311yescharacteristic, complemented
52C23×D15C2312yes—
53C23×C5×D3C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15C2312yes—
58C2×D60—22no—
59C2×D60—22no—
60C2×D60C2×C414yescomplemented
61C22×C5×Dic3C2312yes—
62C2×C5×D12—22no—
63C2×C5×D12—22no—
64C2×C5×D12C2×C414yescomplemented
65C2×C4×C5×D3—24no—
66C2×C4×C5×D3—24no—
67C2×C4×C5×D3—42no—
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2311yescharacteristic
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2311yescharacteristic
72C2×#1203—24no—
73C2×#1203—24no—
74C2×#1203—42no—
75C2×#1203—42no—
76C2×#1203C2×C418yescomplemented
77C2×#1203C2×C418yescomplemented
78C2×#1200—24no—
79C2×#1200—24no—
80C2×#1200—42no—
81C3×C42×C5—22no—
82#6714—24no—
83#6714—42no—
84C4⋊Dic15—22no—
85C5×(C2×D3)⋊C4—24no—
86C5×C4⋊Dic3D414yescomplemented
87C3×#683—22no—
88C3×#683D414yescomplemented
89C3×C4×Dic5—22no—
90C3×C4×Dic5C2×C414yescomplemented
91#6667—24no—
92(C2×D3)⋊Dic5—24no—
93(C2×D3)⋊Dic5—42no—
94Dic3×Dic5—24no—
95C2×#893—52no—
96C2×#874—51no—
97C2×C4×D12—51no—
98C2×C4×D12D511yescharacteristic, complemented
99C3×C4×C4⋊C4—51no—
100#4988—52no—
101#4939—51no—
102#4939—51no—
103C4×C4⋊Dic3—51no—
104#4665—52no—
105#4665—52no—
106C22×C5×D4—31no—
107C23×C4×C5—32no—
108C22×C22⋊D5—32no—
109C22×C22⋊D5—32no—
110C22×D20—31no—
111C22×C4×D5—32no—
112C4×C5×D4—64no—
113C2×C5×C4⋊C4—31no—
114C2×C5×C22⋊C4—32no—
115C2×C42×C5C2×D311yescharacteristic
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118#4086—38no—
119C4×C22⋊D5—68no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×C4⋊Dic5—31no—
124C2×#683C2×D311yescharacteristic
125C2×#683C2×D311yescharacteristic
126C2×C4×Dic5—32no—
127C2×C4×Dic5C2×D311yescharacteristic
128C2×C4×Dic5C2×D311yescharacteristic
129#4039—64no—
130#3963—32no—
131#3963C2×D311yescharacteristic
132#3963C2×D311yescharacteristic
133#2366—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×D15—22no—
136C22×D15—22no—
137C22×D15—22no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15C22×C414yes—
142C22×C5×D3—22no—
143C22×C5×D3—22no—
144C22×C5×D3—22no—
145C22×C5×D3—22no—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3C22×C414yes—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—21no—
152C2×C3×C4×C5—21no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5C22×C412yes—
155C2×C3×C4×C5C2×D412yes—
156C2×C3×C4×C5C2×D412yes—
157C2×C3×C4×C5#4112yes—
158C2×Dic15—22no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161D60—28no—
162C2×C5×Dic3—22no—
163C2×C5×Dic3—22no—
164C2×C5×Dic3C2×D414yes—
165C5×D12—28no—
166C4×C5×D3—48no—
167C2×C3×Dic5—21no—
168C2×C3×Dic5—21no—
169C2×C3×Dic5—21no—
170C2×C3×Dic5—21no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5C22×C412yes—
175C2×C3×Dic5C22×C412yes—
176C2×C3×Dic5C2×D412yes—
177C2×C3×Dic5C2×D412yes—
178C2×C3×Dic5#4112yes—
179#1203—216no—
180#1203—48no—
181#1200—48no—
182C22×D12—52no—
183C22×D12—51no—
184C22×D12—52no—
185C22×D12C2×D511yescharacteristic
186C22×C4×D3—52no—
187C22×C4×D3C2×D512yes—
188C2×C3×C4⋊C4—51no—
189C2×C3×C4⋊C4—51no—
190C2×C3×C42—51no—
191C2×C3×C42—51no—
192C2×C3×C42C2×D511yescharacteristic
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4C2×D512yes—
199C2×C4⋊Dic3—51no—
200C2×C4⋊Dic3C2×D511yescharacteristic
201C2×C4×Dic3—52no—
202#893—108no—
203#874—58no—
204C4×D12—24no—
205C4×D12—104no—
206C3×#95—51no—
207C3×#95—51no—
208C3⋊#95—52no—
209C24×C5—32no—
210C23×D5—32no—
211C2×C5×D4—34no—
212C2×C5×D4—62no—
213C2×C5×D4—62no—
214C22×C4×C5—32no—
215C22×C4×C5—64no—
216C22×C4×C5—64no—
217C22×C4×C5—122no—
218C22×C4×C5C22×D311yescharacteristic
219C22×C4×C5C22×D311yescharacteristic
220C22×C4×C5C22×D311yescharacteristic
221C2×C22⋊D5—38no—
222C2×C22⋊D5—38no—
223C2×C22⋊D5—64no—
224C2×C22⋊D5—64no—
225C2×C22⋊D5—122no—
226C2×C22⋊D5—122no—
227C22×Dic5—32no—
228C22×Dic5C22×D311yescharacteristic
229C22×Dic5C22×D311yescharacteristic
230C22×Dic5C22×D311yescharacteristic
231C22×Dic5C22×D311yescharacteristic
232C2×D20—34no—
233C2×D20—62no—
234C2×D20—62no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—122no—
238C5×C4⋊C4—34no—
239C5×C22⋊C4—64no—
240C42×C5—22no—
241C22⋊Dic5—64no—
242C22⋊Dic5—122no—
243#685—64no—
244#685—64no—
245#685—122no—
246C4⋊Dic5—62no—
247#683—22no—
248#683D1214yescomplemented
249C4×Dic5—22no—
250C4×Dic5—64no—
251C4×Dic5C4×D314yescomplemented
252C2×#127—151no—
253C2×C4×D4—31no—
254C2×C4×D4—151no—
255C2×C4×D4—152no—
256#390—151no—
257#390—152no—
258#390—151no—
259#386—152no—
260#386—152no—
261C4×C4⋊C4—51no—
262C4×C4⋊C4—151no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5H(5,𝔽2)11yescharacteristic
269C22×C3×C5H(5,𝔽2)11yescharacteristic
270C2×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C5×D3—24no—
278C2×C5×D3—24no—
279C2×C5×D3—24no—
280C2×C5×D3—42no—
281C2×C5×D3—42no—
282C2×C5×D3—42no—
283C2×C5×D3—42no—
284C3×C4×C5—22no—
285C3×C4×C5—41no—
286C3×C4×C5C4×D414yescomplemented
287Dic15—42no—
288C3×Dic5—22no—
289C3×Dic5—22no—
290C3×Dic5—41no—
291C3×Dic5C4×D414yescomplemented
292C5×Dic3—24no—
293C23×D3—52no—
294C23×D3C22×D512yes—
295C22×C3×C4—51no—
296C22×C3×C4—51no—
297C22×C3×C4—51no—
298C22×C3×C4—51no—
299C22×C3×C4C22×D511yescharacteristic
300C22×C3×C4C22×D511yescharacteristic
301C22×C3×C4C22×D511yescharacteristic
302C22×Dic3—52no—
303C22×Dic3C22×D512yes—
304C2×D12—22no—
305C2×D12—22no—
306C2×D12—58no—
307C2×D12—54no—
308C2×D12—58no—
309C2×D12—104no—
310C2×D12—104no—
311C2×D12—102no—
312C2×D12—102no—
313C2×D12—202no—
314C2×D12—202no—
315C2×D12C4×D514yescomplemented
316C2×C4×D3—24no—
317C2×C4×D3—24no—
318C2×C4×D3—42no—
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—202no—
322C3×C4⋊C4—54no—
323C3×C4⋊C4—102no—
324C3×C42—22no—
325C3×C42—54no—
326C3×C42—102no—
327(C2×D3)⋊C4—24no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—104no—
330(C2×D3)⋊C4—104no—
331(C2×D3)⋊C4—202no—
332(C2×D3)⋊C4—202no—
333C4⋊Dic3—102no—
334C4⋊Dic3C22⋊D514yescomplemented
335C4×Dic3—104no—
336C23×C5—34no—
337C23×C5—62no—
338C23×C5—62no—
339C23×C5—62no—
340C23×C5—62no—
341C23×C5—62no—
342C23×C5—62no—
343C23×C5C23×D311yescharacteristic
344C22×D5—34no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C22×D5—62no—
351C5×D4—68no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—21no—
357C2×C4×C5—34no—
358C2×C4×C5—62no—
359C2×C4×C5—62no—
360C2×C4×C5—128no—
361C2×C4×C5C2×C4×D312yes—
362C2×C4×C5C2×D1212yes—
363C2×C4×C5D3×D412yes—
364C2×C4×C5#23912yes—
365C22⋊D5—616no—
366C22⋊D5—128no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—21no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—21no—
373C2×Dic5—21no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5C2×C4×D312yes—
378C2×Dic5C2×C4×D312yes—
379C2×Dic5C2×D1212yes—
380C2×Dic5C2×D1212yes—
381C2×Dic5#23512yes—
382D20—68no—
383C4×D5—128no—
384C22×D4—31no—
385C22×D4—152no—
386C22×D4—152no—
387C22×D4—151no—
388C23×C4—32no—
389C23×C4—152no—
390#127—158no—
391C4×D4—64no—
392C4×D4—304no—
393C4×D4—308no—
394C2×C4⋊C4—31no—
395C2×C4⋊C4—51no—
396C2×C4⋊C4—51no—
397C2×C4⋊C4—151no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C22⋊C4—152no—
404C2×C42—51no—
405C2×C42—51no—
406C2×C42—152no—
407C2×C42D3×D511yescharacteristic
408#95—51no—
409#95—51no—
410#95—152no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5#51811yescharacteristic
414C2×C3×C5D4211yescharacteristic
415C2×C3×C5#55011yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55911yescharacteristic
418D15—44no—
419C5×D3—44no—
420C23×C3C23×D511yescharacteristic
421C22×D3—22no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—54no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3C2×C4×D514yes—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—52no—
441C2×C3×C4—52no—
442C2×C3×C4—52no—
443C2×C3×C4—52no—
444C2×C3×C4—52no—
445C2×C3×C4—101no—
446C2×C3×C4—101no—
447C2×C3×C4—101no—
448C2×C3×C4—101no—
449C2×C3×C4—101no—
450C2×C3×C4—101no—
451C2×C3×C4—101no—
452C2×C3×C4C2×C4×D512yes—
453C2×C3×C4#70912yes—
454C2×C3×C4D4×D512yes—
455C2×C3×C4C2×C22⋊D512yes—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3—102no—
461C2×Dic3C2×C22⋊D514yes—
462D12—28no—
463D12—1016no—
464D12—108no—
465D12—208no—
466C4×D3—48no—
467C4×D3—208no—
468C22×C5—64no—
469C22×C5—64no—
470C22×C5—64no—
471C22×C5—122no—
472C22×C5—122no—
473C22×C5—122no—
474C22×C5—122no—
475C22×C5C22×C4×D311yescharacteristic
476C22×C5C22×D1211yescharacteristic
477C22×C5C2×#23511yescharacteristic
478C22×C5C2×D3×D411yescharacteristic
479C22×C5C2×#23911yescharacteristic
480C22×C5#100911yescharacteristic
481C22×C5#100911yescharacteristic
482C2×D5—64no—
483C2×D5—64no—
484C2×D5—64no—
485C2×D5—122no—
486C2×D5—122no—
487C2×D5—122no—
488C2×D5—122no—
489C4×C5—22no—
490C4×C5—41no—
491C4×C5—64no—
492C4×C5#89314yescomplemented
493Dic5—22no—
494Dic5—22no—
495Dic5—41no—
496Dic5—122no—
497Dic5C4×D1214yescomplemented
498C24—32no—
499C24—152no—
500C2×D4—34no—
501C2×D4—62no—
502C2×D4—62no—
503C2×D4—158no—
504C2×D4—158no—
505C2×D4—154no—
506C2×D4—304no—
507C2×D4—304no—
508C2×D4—302no—
509C2×D4—302no—
510C2×D4—602no—
511C2×D4—602no—
512C22×C4—32no—
513C22×C4—51no—
514C22×C4—51no—
515C22×C4—51no—
516C22×C4—51no—
517C22×C4—64no—
518C22×C4—64no—
519C22×C4—122no—
520C22×C4—152no—
521C22×C4—304no—
522C22×C4—304no—
523C22×C4—602no—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—34no—
528C4⋊C4—54no—
529C4⋊C4—102no—
530C4⋊C4—302no—
531C22⋊C4—64no—
532C22⋊C4—304no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—602no—
536C22⋊C4—602no—
537C42—22no—
538C42—54no—
539C42—102no—
540C42—304no—
541C3×C5#236611yescharacteristic, complemented, Hall
542C22×C3C22×C4×D511yescharacteristic
543C22×C3C2×#70911yescharacteristic
544C22×C3C2×D4×D511yescharacteristic
545C22×C3#414411yescharacteristic
546C22×C3D5×#4111yescharacteristic
547C22×C3#414911yescharacteristic
548C22×C3C22×C22⋊D511yescharacteristic
549C2×D3—24no—
550C2×D3—24no—
551C2×D3—24no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3—202no—
563C3×C4—22no—
564C3×C4—41no—
565C3×C4—54no—
566C3×C4—102no—
567C3×C4—102no—
568C3×C4—201no—
569C3×C4C4×C22⋊D514yescomplemented
570Dic3—24no—
571Dic3—202no—
572C2×C5—124no—
573C2×C5C2×C4×D1211yescharacteristic
574C2×C5C2×#89311yescharacteristic
575C2×C5#552111yescharacteristic
576C2×C5D4×D1211yescharacteristic
577C2×C5#555311yescharacteristic
578C2×C5#557711yescharacteristic
579C2×C5#558511yescharacteristic
580D5—124no—
581C23—34no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—62no—
586C23—62no—
587C23—62no—
588C23—154no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23—302no—
595C23C22×D3×D511yescharacteristic
596D4—68no—
597D4—3016no—
598D4—308no—
599D4—608no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—34no—
606C2×C4—52no—
607C2×C4—52no—
608C2×C4—52no—
609C2×C4—52no—
610C2×C4—52no—
611C2×C4—62no—
612C2×C4—62no—
613C2×C4—101no—
614C2×C4—101no—
615C2×C4—101no—
616C2×C4—101no—
617C2×C4—101no—
618C2×C4—101no—
619C2×C4—101no—
620C2×C4—128no—
621C2×C4—302no—
622C2×C4—302no—
623C2×C4—302no—
624C2×C4—608no—
625C2×C4#676912yes—
626C2×C4C4×D3×D512yes—
627C2×C4D5×D1212yes—
628C2×C4D3×C22⋊D512yes—
629C2×C3C4×D4×D511yescharacteristic
630C2×C3#6587911yescharacteristic
631C2×C3#6588711yescharacteristic
632C2×C3#6589311yescharacteristic
633C2×C3C2×C4×C22⋊D511yescharacteristic
634C2×C3D4×C22⋊D511yescharacteristic
635C2×C3#6616811yescharacteristic
636D3—44no—
637D3—204no—
638C5#7365311yescharacteristic, complemented, Sylow
639C22—64no—
640C22—64no—
641C22—64no—
642C22—122no—
643C22—122no—
644C22—122no—
645C22—122no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22C2×#676911yescharacteristic
654C22C2×C4×D3×D511yescharacteristic
655C22C2×D5×D1211yescharacteristic
656C22D5×#23511yescharacteristic
657C22#9201811yescharacteristic
658C22#9201911yescharacteristic
659C22C2×D3×C22⋊D511yescharacteristic
660C4—22no—
661C4—41no—
662C4—54no—
663C4—64no—
664C4—102no—
665C4—102no—
666C4—201no—
667C4—602no—
668C4#9144614yescomplemented
669C3#1061407411yescharacteristic, complemented, Sylow
670C2—124no—
671C2—604no—
672C2#1175253811yescharacteristic
673C2#1175259311yescharacteristic
674C2C4×D5×D1211yescharacteristic
675C2#1175272511yescharacteristic
676C2C2×#9144611yescharacteristic
677C2#1175454511yescharacteristic
678C2D12×C22⋊D511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91451C2
hypercenterC2×C42D3×D5
hypocenterC3×C5#2366
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C4×C5×D12C2semidirect
3. C2×#91446C2semidirect
4. C2×#91418C2semidirect
5. #11751040C2semidirect
6. C3×C4×#683C2semidirect
7. #11748919C2semidirect
8. #11748914C2semidirect
9. #11748909C2semidirect
10. #11748764C2semidirect
11. Dic5×C4⋊Dic3C2semidirect
34. #91451C4semidirect
51. C4×#683D3semidirect
60. C2×D60C2×C4semidirect
64. C2×C5×D12C2×C4semidirect
76. C2×#1203C2×C4semidirect
77. C2×#1203C2×C4semidirect
86. C5×C4⋊Dic3D4semidirect
88. C3×#683D4semidirect
90. C3×C4×Dic5C2×C4semidirect
98. C2×C4×D12D5semidirect
248. #683D12semidirect
251. C4×Dic5C4×D3semidirect
286. C3×C4×C5C4×D4semidirect
291. C3×Dic5C4×D4semidirect
315. C2×D12C4×D5semidirect
334. C4⋊Dic3C22⋊D5semidirect
492. C4×C5#893semidirect
497. Dic5C4×D12semidirect
541. C3×C5#2366semidirect
569. C3×C4C4×C22⋊D5semidirect
638. C5#73653semidirect
668. C4#91446semidirect
669. C3#10614074semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C5×D122
C2×#914512
C2×#914462
C2×#914182
#117510402
C3×C4×#6832
#117489192
#117489142
#117489092
#117487642
Dic5×C4⋊Dic32
#106140743
#736535