Finite Group Databasebeta

← #14321418

Subgroups — #14321418

Order 1920.

1648 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×#91784C211yesmaximal, characteristic
2C2×#91782C212yesmaximal, complemented
3C2×#91782C211yesmaximal, characteristic, complemented
4C2×C42×D15C211yesmaximal, characteristic, complemented
5C3×C5×#389C211yesmaximal, characteristic, complemented
6#11751091C212yesmaximal, complemented
7#11751088C211yesmaximal, characteristic, complemented
8C4⋊C4×Dic15C211yesmaximal, characteristic, complemented
9#11751040C211yesmaximal, characteristic, complemented
10#11750767C212yesmaximal, complemented
11#11750766C212yesmaximal, complemented
12#10607695—31nomaximal, Hall
13C22×D60C2212yes—
14C22×D60C2211yescharacteristic
15C22×C4×D15C2211yescharacteristic
16C22×C4×D15C2212yes—
17C22×C4×D15C2211yescharacteristic
18C22×C4×D15C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2212yes—
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C42×C5C2211yescharacteristic
23C2×#6714C2212yes—
24C2×#6714C2212yes—
25C2×#6714C2212yes—
26C2×#6714C2212yes—
27C2×#6714C2212yes—
28C2×C4⋊Dic15C2211yescharacteristic
29C2×C4×Dic15C2211yescharacteristic
30C2×C4×Dic15C2212yes—
31C2×C4×Dic15C2211yescharacteristic
32C2×C4×Dic15C2211yescharacteristic
33#91784C418yescomplemented
34#91782—28no—
35#91782—24no—
36C42×D15—24no—
37C3×C5×#95C2212yes—
38#91115C2212yes—
39#91115C2212yes—
40#75964—51nomaximal, Hall
41C2×#4041—31no—
42C2×#4039—31no—
43C2×#4039—32no—
44C2×C42×D5—31no—
45C5×#389D311yescharacteristic, complemented
46#65279—32no—
47#65276—31no—
48C4⋊C4×Dic5—31no—
49#65228—31no—
50#64955—32no—
51#64954—32no—
52C23×D15C2312yes—
53C23×D15C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2312yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15C2312yes—
60C22×Dic15C2311yescharacteristic
61C22×Dic15C2311yescharacteristic
62C22×Dic15C2311yescharacteristic
63C2×D60—24no—
64C2×D60—24no—
65C2×D60—22no—
66C2×D60—22no—
67C2×D60C2×C418yescomplemented
68C2×D60C2×C414yescomplemented
69C2×C4×D15—22no—
70C2×C4×D15—22no—
71C2×C4×D15—22no—
72C2×C4×D15—22no—
73C2×C4×D15—22no—
74C2×C4×D15—22no—
75C2×C4×D15—22no—
76C2×C4×D15—24no—
77C2×C4×D15—24no—
78C2×C4×D15—24no—
79C2×C4×D15C2×C414yescomplemented
80C2×C4×D15D414yescomplemented
81C3×C5×C4⋊C4—24no—
82C3×C5×C4⋊C4—22no—
83C3×C5×C4⋊C4C2×C414yescomplemented
84C3×C42×C5—22no—
85#6714—24no—
86#6714—24no—
87#6714—24no—
88#6714—24no—
89#6714C2×C418yescomplemented
90C4⋊Dic15—22no—
91C4×Dic15—22no—
92C4×Dic15—22no—
93C4×Dic15—24no—
94C4×Dic15D414yescomplemented
95C2×#895—51no—
96C2×#893—51no—
97C2×#893—52no—
98C2×C42×D3—51no—
99C3×#389D511yescharacteristic, complemented
100#4990—52no—
101#4987—51no—
102Dic3×C4⋊C4—51no—
103#4939—51no—
104#4666—52no—
105#4665—52no—
106C22×D20—32no—
107C22×D20—31no—
108C22×C4×D5—31no—
109C22×C4×D5—31no—
110C22×C4×D5—31no—
111C22×C4×D5—32no—
112C2×C5×C4⋊C4C2×D311yescharacteristic
113C2×C5×C4⋊C4C2×D312yes—
114C2×C5×C4⋊C4C2×D311yescharacteristic
115C2×C42×C5C2×D311yescharacteristic
116C2×#685—32no—
117C2×#685—32no—
118C2×#685—32no—
119C2×#685—32no—
120C2×#685—32no—
121C2×C4⋊Dic5—31no—
122C2×C4×Dic5—31no—
123C2×C4×Dic5—31no—
124C2×C4×Dic5—31no—
125C2×C4×Dic5—32no—
126#4041—38no—
127#4039—64no—
128#4039—68no—
129C42×D5—64no—
130C5×#95C2×D312yes—
131#3963—32no—
132#3963—32no—
133C4×#121—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×D15—21no—
136C22×D15—21no—
137C22×D15—21no—
138C22×D15—21no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15—22no—
142C22×D15—22no—
143C22×D15—22no—
144C22×D15—22no—
145C22×D15C22×C414yes—
146C22×D15C22×C412yes—
147C22×D15C2×D412yes—
148C22×D15#4112yes—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—21no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5C22×C414yes—
159C2×C3×C4×C5C22×C412yes—
160C2×C3×C4×C5C2×D412yes—
161C2×C3×C4×C5C2×D412yes—
162C2×C3×C4×C5#4112yes—
163C2×C3×C4×C5#4112yes—
164C2×Dic15—21no—
165C2×Dic15—21no—
166C2×Dic15—21no—
167C2×Dic15—21no—
168C2×Dic15—22no—
169C2×Dic15—22no—
170C2×Dic15—22no—
171C2×Dic15C22×C412yes—
172C2×Dic15C2×D412yes—
173C2×Dic15C2×D412yes—
174C2×Dic15C2×D412yes—
175C2×Dic15#4112yes—
176D60—216no—
177D60—28no—
178C4×D15—28no—
179C4×D15—28no—
180C4×D15—28no—
181C4×D15—48no—
182C22×D12—52no—
183C22×D12—51no—
184C22×C4×D3—51no—
185C22×C4×D3—51no—
186C22×C4×D3—51no—
187C22×C4×D3—52no—
188C2×C3×C4⋊C4C2×D511yescharacteristic
189C2×C3×C4⋊C4C2×D512yes—
190C2×C3×C4⋊C4C2×D511yescharacteristic
191C2×C3×C42C2×D511yescharacteristic
192C2×(C2×D3)⋊C4—52no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×C4⋊Dic3—51no—
198C2×C4×Dic3—51no—
199C2×C4×Dic3—51no—
200C2×C4×Dic3—52no—
201C2×C4×Dic3—51no—
202#895—58no—
203#893—104no—
204#893—108no—
205C42×D3—104no—
206C3×#95C2×D512yes—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C23×D5—31no—
210C23×D5—32no—
211C22×C4×C5C22×D312yes—
212C22×C4×C5C22×D312yes—
213C22×C4×C5C22×D311yescharacteristic
214C22×C4×C5C22×D311yescharacteristic
215C22×C4×C5C22×D311yescharacteristic
216C22×Dic5—31no—
217C22×Dic5—31no—
218C22×Dic5—31no—
219C22×Dic5—32no—
220C2×D20—38no—
221C2×D20—34no—
222C2×D20—64no—
223C2×D20—64no—
224C2×D20—62no—
225C2×D20—62no—
226C2×C4×D5—34no—
227C2×C4×D5—34no—
228C2×C4×D5—62no—
229C2×C4×D5—62no—
230C2×C4×D5—62no—
231C2×C4×D5—62no—
232C2×C4×D5—62no—
233C2×C4×D5—62no—
234C2×C4×D5—62no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—64no—
238C5×C4⋊C4—24no—
239C5×C4⋊C4—22no—
240C5×C4⋊C4C4×D314yescomplemented
241C42×C5—22no—
242#685—38no—
243#685—64no—
244#685—64no—
245#685—64no—
246#685—64no—
247C4⋊Dic5—62no—
248C4×Dic5—34no—
249C4×Dic5—62no—
250C4×Dic5—62no—
251C4×Dic5—64no—
252C2×#121—151no—
253C2×C4×D4—151no—
254C2×C4×D4—152no—
255C22×C42—151no—
256#390—151no—
257#389D1511yescharacteristic, complemented
258#388—152no—
259#386—152no—
260#380—151no—
261C4×C4⋊C4—151no—
262C4×C22⋊C4—152no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C2×D15—22no—
271C2×D15—22no—
272C2×D15—22no—
273C2×D15—22no—
274C2×D15—22no—
275C2×D15—22no—
276C2×D15—24no—
277C2×D15—24no—
278C2×D15—24no—
279C2×D15—42no—
280C2×D15—42no—
281C2×D15—42no—
282C2×D15—42no—
283C2×D15C4×D414yescomplemented
284C3×C4×C5—24no—
285C3×C4×C5—22no—
286C3×C4×C5—22no—
287C3×C4×C5—42no—
288C3×C4×C5C4×D414yescomplemented
289Dic15—22no—
290Dic15—22no—
291Dic15—42no—
292Dic15#12114yescomplemented
293C23×D3—51no—
294C23×D3—52no—
295C22×C3×C4C22×D512yes—
296C22×C3×C4C22×D512yes—
297C22×C3×C4C22×D511yescharacteristic
298C22×C3×C4C22×D511yescharacteristic
299C22×C3×C4C22×D511yescharacteristic
300C22×Dic3—51no—
301C22×Dic3—51no—
302C22×Dic3—51no—
303C22×Dic3—52no—
304C2×D12—58no—
305C2×D12—54no—
306C2×D12—104no—
307C2×D12—104no—
308C2×D12—102no—
309C2×D12—102no—
310C2×C4×D3—54no—
311C2×C4×D3—54no—
312C2×C4×D3—102no—
313C2×C4×D3—102no—
314C2×C4×D3—102no—
315C2×C4×D3—102no—
316C2×C4×D3—102no—
317C2×C4×D3—102no—
318C2×C4×D3—102no—
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—104no—
322C3×C4⋊C4—24no—
323C3×C4⋊C4—22no—
324C3×C4⋊C4C4×D514yescomplemented
325C3×C42—22no—
326(C2×D3)⋊C4—58no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—104no—
330(C2×D3)⋊C4—104no—
331C4⋊Dic3—102no—
332C4×Dic3—54no—
333C4×Dic3—102no—
334C4×Dic3—102no—
335C4×Dic3—104no—
336C23×C5C23×D311yescharacteristic
337C22×D5—32no—
338C22×D5—32no—
339C22×D5—32no—
340C22×D5—34no—
341C22×D5—61no—
342C22×D5—61no—
343C22×D5—61no—
344C22×D5—61no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C22×D5—62no—
351C2×C4×C5—21no—
352C2×C4×C5—21no—
353C2×C4×C5—22no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5C2×C4×D314yes—
361C2×C4×C5C2×C4×D312yes—
362C2×C4×C5D3×D412yes—
363C2×C4×C5D3×D412yes—
364C2×C4×C5#23912yes—
365C2×C4×C5#23912yes—
366C2×Dic5—32no—
367C2×Dic5—32no—
368C2×Dic5—32no—
369C2×Dic5—32no—
370C2×Dic5—32no—
371C2×Dic5—61no—
372C2×Dic5—61no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378D20—616no—
379D20—68no—
380C4×D5—68no—
381C4×D5—68no—
382C4×D5—68no—
383C4×D5—128no—
384C22×D4—152no—
385C22×D4—151no—
386C23×C4—151no—
387C23×C4—151no—
388C23×C4—152no—
389C23×C4—151no—
390#121—158no—
391C4×D4—304no—
392C4×D4—308no—
393C2×C4⋊C4—151no—
394C2×C4⋊C4C2×D1511yescharacteristic
395C2×C4⋊C4C2×D1512yes—
396C2×C4⋊C4C2×D1511yescharacteristic
397C2×C22⋊C4—152no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C42—151no—
403C2×C42—152no—
404C2×C42—151no—
405C2×C42—151no—
406C2×C42—304no—
407C2×C42C2×D1511yescharacteristic
408#95—152no—
409#95—152no—
410#95C2×D1512yes—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C4×#4111yescharacteristic
414C2×C3×C5C2×#12111yescharacteristic
415C2×C3×C5#52511yescharacteristic
416C2×C3×C5#52911yescharacteristic
417C2×C3×C5#53211yescharacteristic
418D15—24no—
419D15—44no—
420C23×C3C23×D511yescharacteristic
421C22×D3—52no—
422C22×D3—52no—
423C22×D3—52no—
424C22×D3—54no—
425C22×D3—101no—
426C22×D3—101no—
427C22×D3—101no—
428C22×D3—101no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3—102no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4C2×C4×D514yes—
445C2×C3×C4C2×C4×D512yes—
446C2×C3×C4D4×D512yes—
447C2×C3×C4D4×D512yes—
448C2×C3×C4#71312yes—
449C2×C3×C4#71312yes—
450C2×Dic3—52no—
451C2×Dic3—52no—
452C2×Dic3—52no—
453C2×Dic3—52no—
454C2×Dic3—52no—
455C2×Dic3—101no—
456C2×Dic3—101no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—102no—
460C2×Dic3—102no—
461C2×Dic3—102no—
462D12—1016no—
463D12—108no—
464C4×D3—108no—
465C4×D3—108no—
466C4×D3—108no—
467C4×D3—208no—
468C22×C5C22×C4×D311yescharacteristic
469C22×C5C2×D3×D411yescharacteristic
470C22×C5C2×D3×D411yescharacteristic
471C22×C5C2×#23911yescharacteristic
472C22×C5C2×#23911yescharacteristic
473C22×C5D3×#4111yescharacteristic
474C22×C5D3×#4111yescharacteristic
475C2×D5—34no—
476C2×D5—62no—
477C2×D5—62no—
478C2×D5—62no—
479C2×D5—62no—
480C2×D5—62no—
481C2×D5—62no—
482C2×D5—64no—
483C2×D5—64no—
484C2×D5—64no—
485C2×D5—122no—
486C2×D5—122no—
487C2×D5—122no—
488C2×D5—122no—
489C4×C5—24no—
490C4×C5—22no—
491C4×C5—22no—
492C4×C5—42no—
493C4×C5#89314yescomplemented
494Dic5—34no—
495Dic5—62no—
496Dic5—62no—
497Dic5—122no—
498C24—151no—
499C24—152no—
500C2×D4—158no—
501C2×D4—154no—
502C2×D4—304no—
503C2×D4—304no—
504C2×D4—302no—
505C2×D4—302no—
506C22×C4—151no—
507C22×C4—151no—
508C22×C4—151no—
509C22×C4—154no—
510C22×C4—154no—
511C22×C4—152no—
512C22×C4—302no—
513C22×C4—302no—
514C22×C4—302no—
515C22×C4—304no—
516C22×C4—304no—
517C22×C4—304no—
518C22×C4—302no—
519C22×C4—302no—
520C22×C4—302no—
521C22×C4—302no—
522C22×C4C22×D1512yes—
523C22×C4C22×D1512yes—
524C22×C4C22×D1511yescharacteristic
525C22×C4C22×D1511yescharacteristic
526C22×C4C22×D1511yescharacteristic
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—302no—
530C4⋊C4C4×D1514yescomplemented
531C22⋊C4—158no—
532C22⋊C4—304no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—22no—
537C42—154no—
538C42—302no—
539C42—302no—
540C42—304no—
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3C22×C4×D511yescharacteristic
543C22×C3C2×D4×D511yescharacteristic
544C22×C3C2×D4×D511yescharacteristic
545C22×C3C2×#71311yescharacteristic
546C22×C3C2×#71311yescharacteristic
547C22×C3D5×#4111yescharacteristic
548C22×C3D5×#4111yescharacteristic
549C2×D3—54no—
550C2×D3—102no—
551C2×D3—102no—
552C2×D3—102no—
553C2×D3—102no—
554C2×D3—102no—
555C2×D3—102no—
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3—202no—
563C3×C4—24no—
564C3×C4—22no—
565C3×C4—22no—
566C3×C4—42no—
567C3×C4#403914yescomplemented
568Dic3—54no—
569Dic3—102no—
570Dic3—102no—
571Dic3—202no—
572C2×C5C2×#89311yescharacteristic
573C2×C5C4×D3×D411yescharacteristic
574C2×C5C4×#23911yescharacteristic
575C2×C5D3×#12111yescharacteristic
576C2×C5#562711yescharacteristic
577C2×C5#569111yescharacteristic
578C2×C5#572511yescharacteristic
579D5—64no—
580D5—124no—
581C23—152no—
582C23—152no—
583C23—152no—
584C23—154no—
585C23—301no—
586C23—301no—
587C23—301no—
588C23—301no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23—302no—
595C23C23×D1511yescharacteristic
596D4—3016no—
597D4—308no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—152no—
608C2×C4—152no—
609C2×C4—152no—
610C2×C4—152no—
611C2×C4—152no—
612C2×C4—308no—
613C2×C4—308no—
614C2×C4—301no—
615C2×C4—301no—
616C2×C4—301no—
617C2×C4—301no—
618C2×C4—308no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4—302no—
622C2×C4—608no—
623C2×C4C2×C4×D1514yes—
624C2×C4C2×C4×D1512yes—
625C2×C4D4×D1512yes—
626C2×C4D4×D1512yes—
627C2×C4#682112yes—
628C2×C4#682112yes—
629C2×C3C2×#403911yescharacteristic
630C2×C3C4×D4×D511yescharacteristic
631C2×C3C4×#71311yescharacteristic
632C2×C3D5×#12111yescharacteristic
633C2×C3#6596111yescharacteristic
634C2×C3#6602511yescharacteristic
635C2×C3#6605911yescharacteristic
636D3—104no—
637D3—204no—
638C5#7596411yescharacteristic, complemented, Sylow
639C22—154no—
640C22—302no—
641C22—302no—
642C22—302no—
643C22—302no—
644C22—302no—
645C22—302no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22C22×C4×D1511yescharacteristic
654C22C2×D4×D1511yescharacteristic
655C22C2×D4×D1511yescharacteristic
656C22C2×#682111yescharacteristic
657C22C2×#682111yescharacteristic
658C22#41×D1511yescharacteristic
659C22#41×D1511yescharacteristic
660C4—24no—
661C4—22no—
662C4—22no—
663C4—42no—
664C4—154no—
665C4—302no—
666C4—302no—
667C4—602no—
668C4#9178214yescomplemented
669C3#1060769511yescharacteristic, complemented, Sylow
670C2—304no—
671C2—604no—
672C2C2×#9178211yescharacteristic
673C2C4×D4×D1511yescharacteristic
674C2C4×#682111yescharacteristic
675C2D15×#12111yescharacteristic
676C2#1175638611yescharacteristic
677C2#1175645011yescharacteristic
678C2#1175648411yescharacteristic
subgroupG/H
center, FrattiniC23C23×D15
commutatorC22×C3×C5C23×C4
FittingC3×C5×#389C2
socle, cosocleC23×C3×C5C24
prime radicalC2×#91784C2
hypercenter#389D15
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ #389

Complements

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

NH ≅ G/Ntype
2. C2×#91782C2semidirect
3. C2×#91782C2semidirect
4. C2×C42×D15C2semidirect
5. C3×C5×#389C2semidirect
6. #11751091C2semidirect
7. #11751088C2semidirect
8. C4⋊C4×Dic15C2semidirect
9. #11751040C2semidirect
10. #11750767C2semidirect
11. #11750766C2semidirect
33. #91784C4semidirect
45. C5×#389D3semidirect
67. C2×D60C2×C4semidirect
68. C2×D60C2×C4semidirect
79. C2×C4×D15C2×C4semidirect
80. C2×C4×D15D4semidirect
83. C3×C5×C4⋊C4C2×C4semidirect
89. #6714C2×C4semidirect
94. C4×Dic15D4semidirect
99. C3×#389D5semidirect
240. C5×C4⋊C4C4×D3semidirect
257. #389D15semidirect
283. C2×D15C4×D4semidirect
288. C3×C4×C5C4×D4semidirect
292. Dic15#121semidirect
324. C3×C4⋊C4C4×D5semidirect
493. C4×C5#893semidirect
530. C4⋊C4C4×D15semidirect
541. C3×C5C4×#121semidirect
567. C3×C4#4039semidirect
638. C5#75964semidirect
668. C4#91782semidirect
669. C3#10607695semidirect

Maximal subgroups

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

subgroupindex
C2×#917842
C2×#917822
C2×C42×D152
C3×C5×#3892
#117510912
#117510882
C4⋊C4×Dic152
#117510402
#117507672
#117507662
#106076953
#759645