Finite Group Databasebeta

← C2×#11751060 #14331524

Subgroups — C2×#11751060 #14331524

Order 1920.

2504 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#1220C211yesmaximal, characteristic
2C22×C3×C5×C22⋊C4C211yesmaximal, characteristic, complemented
3C22×#6719C211yesmaximal, characteristic, complemented
4C22×#6714C211yesmaximal, characteristic, complemented
5C22×#6714C211yesmaximal, characteristic, complemented
6C22×#6712C211yesmaximal, characteristic, complemented
7C2×#91115C211yesmaximal, characteristic, complemented
8#11751060C218yesmaximal, direct product factor
9C2×#65248—31nomaximal, Hall
10C25×C3×C5C2211yescharacteristic
11C24×D15C2211yescharacteristic
12C23×C3×C4×C5C2211yescharacteristic
13C23×C3×C4×C5C2211yescharacteristic
14C22×#1220—24no—
15C22×#1220—24no—
16C22×#1220—24no—
17C22×#1220C2214yes—
18C23×Dic15C2211yescharacteristic
19C23×Dic15C2211yescharacteristic
20C23×Dic15C2211yescharacteristic
21C2×C3×C5×C22⋊C4—24no—
22C2×C3×C5×C22⋊C4C2214yescomplemented
23C2×#6719—24no—
24C2×#6719C2214yescomplemented
25C2×#6714—24no—
26C2×#6714—24no—
27C2×#6714C2214yescomplemented
28C2×#6714C2214yescomplemented
29C2×#6712—24no—
30C2×#6712C2214yescomplemented
31#91115C2214yescomplemented
32C2×#4959—51nomaximal, Hall
33C23×C22⋊D5—31no—
34C22×C5×C22⋊C4D311yescharacteristic, complemented
35C22×C22⋊Dic5—31no—
36C22×#685—31no—
37C22×#685—31no—
38C22×#683—31no—
39C2×#3963—31no—
40#65248—38no—
41C24×C3×C5—22no—
42C24×C3×C5—22no—
43C24×C3×C5—22no—
44C24×C3×C5—22no—
45C24×C3×C5—22no—
46C24×C3×C5—22no—
47C24×C3×C5D414yes—
48C24×C3×C5C2312yes—
49C24×C3×C5C2311yescharacteristic
50C23×D15—22no—
51C23×D15—22no—
52C23×D15—22no—
53C23×D15—22no—
54C23×D15—22no—
55C23×D15—22no—
56C23×D15D414yes—
57C23×D15C2312yes—
58C22×C3×C4×C5—22no—
59C22×C3×C4×C5—22no—
60C22×C3×C4×C5—22no—
61C22×C3×C4×C5—22no—
62C22×C3×C4×C5—22no—
63C22×C3×C4×C5—22no—
64C22×C3×C4×C5C2312yes—
65C22×C3×C4×C5C2312yes—
66C2×#1220—232no—
67C2×#1220—28no—
68C2×#1220—28no—
69C2×#1220—28no—
70C22×Dic15—22no—
71C22×Dic15—22no—
72C22×Dic15—22no—
73C22×Dic15—22no—
74C22×Dic15—22no—
75C22×Dic15—22no—
76C22×Dic15—22no—
77C22×Dic15D414yes—
78C22×Dic15D414yescomplemented
79C22×Dic15C2312yes—
80C22×Dic15C2312yes—
81C22×Dic15C2312yes—
82C3×C5×C22⋊C4—28no—
83#6719—28no—
84#6714—28no—
85#6714—28no—
86#6712—28no—
87C23×#67—51no—
88C22×C3×C22⋊C4D511yescharacteristic, complemented
89C22×#217—51no—
90C22×(C2×D3)⋊C4—51no—
91C22×(C2×D3)⋊C4—51no—
92C22×Dic3⋊C4—51no—
93C2×C3⋊#95—51no—
94#4959—58no—
95C25×C5C2×D311yescharacteristic
96C24×D5—31no—
97C23×C4×C5C2×D311yescharacteristic
98C23×C4×C5C2×D311yescharacteristic
99C22×C22⋊D5—34no—
100C22×C22⋊D5—64no—
101C22×C22⋊D5—64no—
102C22×C22⋊D5—64no—
103C23×Dic5—31no—
104C23×Dic5—31no—
105C23×Dic5—31no—
106C2×C5×C22⋊C4—24no—
107C2×C5×C22⋊C4C2×D314yescomplemented
108C2×C22⋊Dic5—34no—
109C2×C22⋊Dic5—64no—
110C2×#685—34no—
111C2×#685—34no—
112C2×#685—64no—
113C2×#685—64no—
114C2×#683—34no—
115C2×#683—64no—
116#3963—34no—
117C2×#394—151noSylow
118C23×C3×C5—28no—
119C23×C3×C5—28no—
120C23×C3×C5—28no—
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—22no—
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—44no—
128C23×C3×C5—44no—
129C23×C3×C5—44no—
130C23×C3×C5—44no—
131C23×C3×C5C2×D414yes—
132C23×C3×C5C2×D412yes—
133C23×C3×C5C2×D412yes—
134C23×C3×C5C2×D412yes—
135C23×C3×C5C2×D412yes—
136C23×C3×C5#4112yes—
137C23×C3×C5#4112yes—
138C23×C3×C5#4112yes—
139C23×C3×C5C2411yescharacteristic
140C22×D15—28no—
141C22×D15—28no—
142C22×D15—28no—
143C22×D15—22no—
144C22×D15—22no—
145C22×D15—22no—
146C22×D15—22no—
147C22×D15—22no—
148C22×D15—22no—
149C22×D15—44no—
150C22×D15—44no—
151C22×D15—44no—
152C22×D15—44no—
153C22×D15C2×D414yes—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—22no—
160C2×C3×C4×C5—44no—
161C2×C3×C4×C5—44no—
162#1220—232no—
163C2×Dic15—28no—
164C2×Dic15—28no—
165C2×Dic15—22no—
166C2×Dic15—22no—
167C2×Dic15—22no—
168C2×Dic15—22no—
169C2×Dic15—22no—
170C2×Dic15—22no—
171C2×Dic15—22no—
172C2×Dic15—44no—
173C2×Dic15C2×D414yes—
174C2×Dic15C2×D414yescomplemented
175C25×C3C2×D511yescharacteristic
176C24×D3—51no—
177C23×C3×C4C2×D511yescharacteristic
178C23×C3×C4C2×D511yescharacteristic
179C22×#67—54no—
180C22×#67—104no—
181C22×#67—104no—
182C22×#67—104no—
183C23×Dic3—51no—
184C23×Dic3—51no—
185C23×Dic3—51no—
186C2×C3×C22⋊C4—24no—
187C2×C3×C22⋊C4C2×D514yescomplemented
188C2×#217—54no—
189C2×#217—104no—
190C2×(C2×D3)⋊C4—54no—
191C2×(C2×D3)⋊C4—54no—
192C2×(C2×D3)⋊C4—104no—
193C2×(C2×D3)⋊C4—104no—
194C2×Dic3⋊C4—54no—
195C2×Dic3⋊C4—104no—
196C3⋊#95—54no—
197C24×C5—22no—
198C24×C5—22no—
199C24×C5—22no—
200C24×C5—22no—
201C24×C5—22no—
202C24×C5—22no—
203C24×C5#6714yes—
204C24×C5C22×D312yes—
205C24×C5C22×D311yescharacteristic
206C23×D5—34no—
207C23×D5—32no—
208C23×D5—62no—
209C23×D5—62no—
210C23×D5—62no—
211C23×D5—62no—
212C23×D5—62no—
213C23×D5—62no—
214C22×C4×C5—22no—
215C22×C4×C5—22no—
216C22×C4×C5—22no—
217C22×C4×C5—22no—
218C22×C4×C5—22no—
219C22×C4×C5—22no—
220C22×C4×C5C22×D312yes—
221C22×C4×C5C22×D312yes—
222C2×C22⋊D5—68no—
223C2×C22⋊D5—68no—
224C2×C22⋊D5—632no—
225C2×C22⋊D5—68no—
226C22×Dic5—34no—
227C22×Dic5—34no—
228C22×Dic5—32no—
229C22×Dic5—32no—
230C22×Dic5—32no—
231C22×Dic5—62no—
232C22×Dic5—62no—
233C22×Dic5—62no—
234C22×Dic5—62no—
235C22×Dic5—62no—
236C22×Dic5—62no—
237C22×Dic5—62no—
238C5×C22⋊C4—28no—
239C22⋊Dic5—68no—
240#685—68no—
241#685—68no—
242#683—68no—
243C23×D4—151no—
244C22×C4⋊C4—151no—
245C22×C22⋊C4—151no—
246C22×C22⋊C4—151no—
247C22×C22⋊C4—151no—
248C22×C22⋊C4D1511yescharacteristic, complemented
249#394—158no—
250C2×#95—151no—
251C22×C3×C5—24no—
252C22×C3×C5—24no—
253C22×C3×C5—24no—
254C22×C3×C5—42no—
255C22×C3×C5—42no—
256C22×C3×C5—42no—
257C22×C3×C5—42no—
258C22×C3×C5—416no—
259C22×C3×C5#12014yes—
260C22×C3×C5#12114yes—
261C22×C3×C5#12114yes—
262C22×C3×C5#12114yes—
263C22×C3×C5#12314yes—
264C22×C3×C5#12314yes—
265C22×C3×C5#12414yes—
266C22×C3×C5C22×D411yescharacteristic
267C22×C3×C5C22×D411yescharacteristic
268C22×C3×C5C22×D411yescharacteristic
269C22×C3×C5C22×D411yescharacteristic
270C22×C3×C5C2×#4111yescharacteristic
271C22×C3×C5C2×#4111yescharacteristic
272C22×C3×C5C2×#4111yescharacteristic
273C2×D15—24no—
274C2×D15—24no—
275C2×D15—24no—
276C2×D15—42no—
277C2×D15—42no—
278C2×D15—42no—
279C2×D15—42no—
280C2×D15—416no—
281C3×C4×C5—42no—
282C3×C4×C5—42no—
283Dic15—24no—
284Dic15—24no—
285Dic15—42no—
286C24×C3—22no—
287C24×C3—22no—
288C24×C3—22no—
289C24×C3—22no—
290C24×C3—22no—
291C24×C3—22no—
292C24×C3C22⋊D514yes—
293C24×C3C22×D512yes—
294C24×C3C22×D511yescharacteristic
295C23×D3—54no—
296C23×D3—52no—
297C23×D3—102no—
298C23×D3—102no—
299C23×D3—102no—
300C23×D3—102no—
301C23×D3—102no—
302C23×D3—102no—
303C22×C3×C4—22no—
304C22×C3×C4—22no—
305C22×C3×C4—22no—
306C22×C3×C4—22no—
307C22×C3×C4—22no—
308C22×C3×C4—22no—
309C22×C3×C4C22×D512yes—
310C22×C3×C4C22×D512yes—
311C2×#67—108no—
312C2×#67—108no—
313C2×#67—1032no—
314C2×#67—108no—
315C22×Dic3—54no—
316C22×Dic3—54no—
317C22×Dic3—52no—
318C22×Dic3—52no—
319C22×Dic3—52no—
320C22×Dic3—102no—
321C22×Dic3—102no—
322C22×Dic3—102no—
323C22×Dic3—102no—
324C22×Dic3—102no—
325C22×Dic3—102no—
326C22×Dic3—102no—
327C3×C22⋊C4—28no—
328#217—108no—
329(C2×D3)⋊C4—108no—
330(C2×D3)⋊C4—108no—
331Dic3⋊C4—108no—
332C23×C5—28no—
333C23×C5—28no—
334C23×C5—28no—
335C23×C5—22no—
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—44no—
342C23×C5—44no—
343C23×C5—44no—
344C23×C5—44no—
345C23×C5#23512yes—
346C23×C5#23512yes—
347C23×C5D3×D412yes—
348C23×C5D3×D412yes—
349C23×C5D3×D412yes—
350C23×C5#23712yes—
351C23×C5C2×#6714yes—
352C23×C5C2×#6712yes—
353C23×C5C23×D311yescharacteristic
354C22×D5—34no—
355C22×D5—68no—
356C22×D5—68no—
357C22×D5—68no—
358C22×D5—62no—
359C22×D5—62no—
360C22×D5—62no—
361C22×D5—62no—
362C22×D5—62no—
363C22×D5—62no—
364C22×D5—124no—
365C22×D5—124no—
366C22×D5—124no—
367C22×D5—124no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—44no—
375C2×C4×C5—44no—
376C22⋊D5—632no—
377C2×Dic5—34no—
378C2×Dic5—34no—
379C2×Dic5—68no—
380C2×Dic5—68no—
381C2×Dic5—62no—
382C2×Dic5—62no—
383C2×Dic5—62no—
384C2×Dic5—62no—
385C2×Dic5—62no—
386C2×Dic5—62no—
387C2×Dic5—62no—
388C2×Dic5—124no—
389C25—151no—
390C25C2×D1511yescharacteristic
391C22×D4—154no—
392C22×D4—304no—
393C22×D4—304no—
394C22×D4—304no—
395C23×C4—151no—
396C23×C4—151no—
397C23×C4—151no—
398C23×C4C2×D1511yescharacteristic
399C23×C4C2×D1511yescharacteristic
400C2×C4⋊C4—154no—
401C2×C4⋊C4—304no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—154no—
404C2×C22⋊C4—154no—
405C2×C22⋊C4—154no—
406C2×C22⋊C4—304no—
407C2×C22⋊C4—304no—
408C2×C22⋊C4—304no—
409C2×C22⋊C4C2×D1514yescomplemented
410#95—154no—
411C2×C3×C5—44no—
412C2×C3×C5#39418yescomplemented
413C2×C3×C5C2×#12011yescharacteristic
414C2×C3×C5C2×#12111yescharacteristic
415C2×C3×C5C2×#12111yescharacteristic
416C2×C3×C5C2×#12111yescharacteristic
417C2×C3×C5C2×#12311yescharacteristic
418C2×C3×C5C2×#12311yescharacteristic
419C2×C3×C5C2×#12411yescharacteristic
420D15—44no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—28no—
428C23×C3—28no—
429C23×C3—28no—
430C23×C3—44no—
431C23×C3—44no—
432C23×C3—44no—
433C23×C3—44no—
434C23×C3#70912yes—
435C23×C3#70912yes—
436C23×C3D4×D512yes—
437C23×C3D4×D512yes—
438C23×C3D4×D512yes—
439C23×C3#71112yes—
440C23×C3C2×C22⋊D514yes—
441C23×C3C2×C22⋊D512yes—
442C23×C3C23×D511yescharacteristic
443C22×D3—54no—
444C22×D3—102no—
445C22×D3—102no—
446C22×D3—102no—
447C22×D3—102no—
448C22×D3—102no—
449C22×D3—102no—
450C22×D3—108no—
451C22×D3—108no—
452C22×D3—108no—
453C22×D3—204no—
454C22×D3—204no—
455C22×D3—204no—
456C22×D3—204no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—44no—
464C2×C3×C4—44no—
465#67—1032no—
466C2×Dic3—54no—
467C2×Dic3—54no—
468C2×Dic3—102no—
469C2×Dic3—102no—
470C2×Dic3—102no—
471C2×Dic3—102no—
472C2×Dic3—108no—
473C2×Dic3—108no—
474C2×Dic3—102no—
475C2×Dic3—102no—
476C2×Dic3—102no—
477C2×Dic3—204no—
478C22×C5—24no—
479C22×C5—24no—
480C22×C5—24no—
481C22×C5—416no—
482C22×C5—42no—
483C22×C5—42no—
484C22×C5—42no—
485C22×C5—42no—
486C22×C5#88314yes—
487C22×C5#88414yes—
488C22×C5#88414yes—
489C22×C5#88514yes—
490C22×C5#92914yes—
491C22×C5#93714yes—
492C22×C5#93914yes—
493C22×C5C2×#23511yescharacteristic
494C22×C5C2×#23511yescharacteristic
495C22×C5C2×D3×D411yescharacteristic
496C22×C5C2×D3×D411yescharacteristic
497C22×C5C2×D3×D411yescharacteristic
498C22×C5C2×#23711yescharacteristic
499C22×C5C22×#6711yescharacteristic
500C2×D5—64no—
501C2×D5—64no—
502C2×D5—64no—
503C2×D5—1216no—
504C2×D5—122no—
505C2×D5—122no—
506C2×D5—122no—
507C2×D5—122no—
508C4×C5—42no—
509C4×C5—42no—
510Dic5—64no—
511Dic5—64no—
512Dic5—122no—
513C24—22no—
514C24—22no—
515C24—22no—
516C24—22no—
517C24—22no—
518C24—22no—
519C24—154no—
520C24—152no—
521C24—302no—
522C24—302no—
523C24—302no—
524C24—302no—
525C24—302no—
526C24—302no—
527C24#122014yes—
528C24C22×D1512yes—
529C24C22×D1511yescharacteristic
530C2×D4—308no—
531C2×D4—308no—
532C2×D4—3032no—
533C2×D4—308no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—154no—
541C22×C4—154no—
542C22×C4—152no—
543C22×C4—152no—
544C22×C4—152no—
545C22×C4—302no—
546C22×C4—302no—
547C22×C4—302no—
548C22×C4—302no—
549C22×C4—302no—
550C22×C4—302no—
551C22×C4—302no—
552C22×C4C22×D1512yes—
553C22×C4C22×D1512yes—
554C4⋊C4—308no—
555C22⋊C4—28no—
556C22⋊C4—308no—
557C22⋊C4—308no—
558C22⋊C4—308no—
559C3×C5C2×#39411yescharacteristic, complemented, Hall
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—42no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—416no—
568C22×C3#402914yes—
569C22×C3#403014yes—
570C22×C3#403014yes—
571C22×C3#403114yes—
572C22×C3#407514yes—
573C22×C3#408314yes—
574C22×C3#408514yes—
575C22×C3C2×#70911yescharacteristic
576C22×C3C2×#70911yescharacteristic
577C22×C3C2×D4×D511yescharacteristic
578C22×C3C2×D4×D511yescharacteristic
579C22×C3C2×D4×D511yescharacteristic
580C22×C3C2×#71111yescharacteristic
581C22×C3C22×C22⋊D511yescharacteristic
582C2×D3—104no—
583C2×D3—104no—
584C2×D3—104no—
585C2×D3—202no—
586C2×D3—202no—
587C2×D3—202no—
588C2×D3—202no—
589C2×D3—2016no—
590C3×C4—42no—
591C3×C4—42no—
592Dic3—104no—
593Dic3—104no—
594Dic3—202no—
595C2×C5—44no—
596C2×C5#495918yescomplemented
597C2×C5C2×#88311yescharacteristic
598C2×C5C2×#88411yescharacteristic
599C2×C5C2×#88411yescharacteristic
600C2×C5C2×#88511yescharacteristic
601C2×C5C2×#92911yescharacteristic
602C2×C5C2×#93711yescharacteristic
603C2×C5C2×#93911yescharacteristic
604D5—124no—
605C23—28no—
606C23—28no—
607C23—28no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—154no—
619C23—308no—
620C23—308no—
621C23—308no—
622C23—302no—
623C23—302no—
624C23—302no—
625C23—302no—
626C23—302no—
627C23—302no—
628C23—604no—
629C23—604no—
630C23—604no—
631C23—604no—
632C23#681712yes—
633C23#681712yes—
634C23D4×D1512yes—
635C23D4×D1512yes—
636C23D4×D1512yes—
637C23#681912yes—
638C23C2×#122014yes—
639C23C2×#122012yes—
640C23C23×D1511yescharacteristic
641D4—3032no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—154no—
651C2×C4—154no—
652C2×C4—308no—
653C2×C4—308no—
654C2×C4—302no—
655C2×C4—302no—
656C2×C4—302no—
657C2×C4—302no—
658C2×C4—302no—
659C2×C4—302no—
660C2×C4—302no—
661C2×C4—604no—
662C2×C3—44no—
663C2×C3#6524818yescomplemented
664C2×C3C2×#402911yescharacteristic
665C2×C3C2×#403011yescharacteristic
666C2×C3C2×#403011yescharacteristic
667C2×C3C2×#403111yescharacteristic
668C2×C3C2×#407511yescharacteristic
669C2×C3C2×#408311yescharacteristic
670C2×C3C2×#408511yescharacteristic
671D3—204no—
672C5C2×#495911yescharacteristic, complemented, Sylow
673C22—24no—
674C22—24no—
675C22—24no—
676C22—416no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—304no—
682C22—304no—
683C22—304no—
684C22—602no—
685C22—602no—
686C22—6016no—
687C22—602no—
688C22—602no—
689C22#9177214yes—
690C22#9177314yes—
691C22#9177314yes—
692C22#9177414yes—
693C22#9181814yes—
694C22#9182614yes—
695C22#9182814yes—
696C22C2×#681711yescharacteristic
697C22C2×#681711yescharacteristic
698C22C2×D4×D1511yescharacteristic
699C22C2×D4×D1511yescharacteristic
700C22C2×D4×D1511yescharacteristic
701C22C2×#681911yescharacteristic
702C22C22×#122011yescharacteristic
703C4—42no—
704C4—42no—
705C4—304no—
706C4—304no—
707C4—602no—
708C3C2×#6524811yescharacteristic, complemented, Sylow
709C2—44no—
710C2—604no—
711C2#1175106018yesdirect product factor
712C2C2×#9177211yescharacteristic
713C2C2×#9177311yescharacteristic
714C2C2×#9177311yescharacteristic
715C2C2×#9177411yescharacteristic
716C2C2×#9181811yescharacteristic
717C2C2×#9182611yescharacteristic
718C2C2×#9182811yescharacteristic
subgroupG/H
centerC24C22×D15
commutator, cosocleC23×C3×C5C24
FrattiniC23C23×D15
FittingC22×C3×C5×C22⋊C4C2
socleC24×C3×C5C23
prime radicalC23×#1220C2
hypercenterC22×C22⋊C4D15
hypocenterC3×C5C2×#394
LCSG ▷ C23×C3×C5 ▷ C3×C5
UCSC1 ◁ C24 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C5×C22⋊C4C2semidirect
3. C22×#6719C2semidirect
4. C22×#6714C2semidirect
5. C22×#6714C2semidirect
6. C22×#6712C2semidirect
7. C2×#91115C2semidirect
8. #11751060C2direct (N × H)
22. C2×C3×C5×C22⋊C4C22semidirect
24. C2×#6719C22semidirect
27. C2×#6714C22semidirect
28. C2×#6714C22semidirect
30. C2×#6712C22semidirect
31. #91115C22semidirect
34. C22×C5×C22⋊C4D3semidirect
78. C22×Dic15D4semidirect
88. C22×C3×C22⋊C4D5semidirect
107. C2×C5×C22⋊C4C2×D3semidirect
174. C2×Dic15C2×D4semidirect
187. C2×C3×C22⋊C4C2×D5semidirect
248. C22×C22⋊C4D15semidirect
409. C2×C22⋊C4C2×D15semidirect
412. C2×C3×C5#394semidirect
559. C3×C5C2×#394semidirect
596. C2×C5#4959semidirect
663. C2×C3#65248semidirect
672. C5C2×#4959semidirect
708. C3C2×#65248semidirect
711. C2#11751060direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#12202
C22×C3×C5×C22⋊C42
C22×#67192
C22×#67142
C22×#67122
C2×#911152
#117510602
C2×#652483
C2×#49595