Finite Group Databasebeta

← #14329484

Subgroups — #14329484

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×#91829C211yesmaximal, characteristic
2C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×#91556C212yesmaximal, complemented
4C2×#91418C211yesmaximal, characteristic, complemented
5C3×#65510C211yesmaximal, characteristic, complemented
6#11749520C212yesmaximal, complemented
7#11749498C212yesmaximal, complemented
8#11749483C212yesmaximal, complemented
9C4×#6669C211yesmaximal, characteristic, complemented
10#11748789C211yesmaximal, characteristic, complemented
11#11748699C211yesmaximal, characteristic, complemented
12#10614074—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×#1220C2212yes—
15C22×#1220C2212yes—
16C22×D60C2211yescharacteristic
17C23×C5×Dic3C2212yes—
18C22×#1200C2212yes—
19#91829C418yescomplemented
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×#217C2212yes—
22C5×D4×Dic3—24no—
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C3×C22⋊Dic5C2212yes—
26C2×C3×C22⋊Dic5C2212yes—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29#91556—28no—
30C2×#6669C2211yescharacteristic
31C2×#6669C2211yescharacteristic
32C2×#6667C2212yes—
33C2×#6667C2212yes—
34C2×#6667C2212yes—
35C2×Dic3×Dic5C2212yes—
36#91418—24no—
37#90994C2212yes—
38#90994C2211yescharacteristic
39#90994C2211yescharacteristic
40#76306—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×#4086—31no—
43C2×C4×C22⋊D5—32no—
44C2×#4039—31no—
45#65510D311yescharacteristic, complemented
46#65502—32no—
47C4⋊C4×Dic5—31no—
48#65246—32no—
49#65245—32no—
50#65228—31no—
51C4×#683—31no—
52C24×C3×C5C2312yes—
53C23×D15C2312yes—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4C2×C414yescomplemented
57C22×C3×C4×C5C2311yescharacteristic
58C2×#1220—24no—
59C2×#1220—24no—
60C2×#1220—42no—
61C2×#1220—42no—
62C2×#1220C2×C418yescomplemented
63C2×#1220C2×C418yescomplemented
64C22×Dic15C2311yescharacteristic
65C22×Dic15C2311yescharacteristic
66C2×D60—22no—
67C2×D60—22no—
68C2×D60C2×C414yescomplemented
69C22×C5×Dic3—24no—
70C22×C5×Dic3—24no—
71C22×C5×Dic3—42no—
72C22×C5×Dic3C2311yescharacteristic
73C22×C5×Dic3C2311yescharacteristic
74C22×C5×Dic3C2312yes—
75C22×C3×Dic5C2312yes—
76C22×C3×Dic5C2311yescharacteristic
77C22×C3×Dic5C2311yescharacteristic
78C2×#1200—24no—
79C2×#1200—24no—
80C2×#1200—42no—
81C4×Dic15C2×C414yescomplemented
82C5×#217—24no—
83C5×C4⋊Dic3D414yescomplemented
84C4×C5×Dic3—22no—
85C3×C22⋊Dic5—24no—
86C3×C22⋊Dic5—42no—
87C3×C4⋊Dic5—22no—
88C3×C4×Dic5—22no—
89#6669—22no—
90#6669D414yescomplemented
91#6667—24no—
92#6667—24no—
93#6667—42no—
94Dic3×Dic5—24no—
95C2×#940—51no—
96C2×D4×Dic3D511yescharacteristic, complemented
97C2×#67⋊C4—52no—
98C2×C4×D12—51no—
99C3×#390—51no—
100#4988—51no—
101Dic3×C4⋊C4—51no—
102#4958—52no—
103#4957—52no—
104#4956—52no—
105C4×Dic3⋊C4—51no—
106C22×C5×D4C2×D311yescharacteristic
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×C5—31no—
116C2×C22⋊Dic5C2×D312yes—
117C2×C22⋊Dic5C2×D312yes—
118#4086—38no—
119C4×C22⋊D5—68no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×C4⋊Dic5C2×D311yescharacteristic
124C2×#683—31no—
125C2×#683—31no—
126C2×C4×Dic5—31no—
127C2×C4×Dic5—32no—
128C2×C4×Dic5C2×D311yescharacteristic
129#4039—64no—
130#3963—31no—
131#3963—31no—
132#3963—32no—
133#2366—151noSylow
134C23×C3×C5—22no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5—22no—
140C23×C3×C5C22×C414yes—
141C23×C3×C5C2411yescharacteristic
142C22×D15—22no—
143C22×D15—22no—
144C22×D15—22no—
145C22×D15—22no—
146C22×D15—22no—
147C22×D15—22no—
148C22×D15C22×C414yes—
149C3×C5×D4—28no—
150C2×C3×C4×C5C22×C412yes—
151C2×C3×C4×C5C2×D412yes—
152C2×C3×C4×C5#4112yes—
153#1220—216no—
154#1220—48no—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15C22×C412yes—
158C2×Dic15C22×C412yes—
159C2×Dic15C2×D412yes—
160C2×Dic15#4112yes—
161D60—28no—
162C2×C5×Dic3—22no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—22no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—48no—
170C2×C5×Dic3C2×D412yes—
171C2×C5×Dic3C2×D414yes—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—22no—
179C2×C3×Dic5—21no—
180C2×C3×Dic5C2×D412yes—
181#1200—48no—
182C22×C3×D4C2×D511yescharacteristic
183C22×#67—52no—
184C22×#67—52no—
185C23×Dic3C2×D512yes—
186C22×D12—51no—
187C22×C4×D3—52no—
188C2×C3×C4⋊C4—51no—
189C2×C3×C22⋊C4—52no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C42—51no—
192C2×#217C2×D512yes—
193#940—58no—
194D4×Dic3—24no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×C4⋊Dic3C2×D511yescharacteristic
199C2×Dic3⋊C4—51no—
200C2×Dic3⋊C4—51no—
201C2×C4×Dic3—51no—
202C2×C4×Dic3—52no—
203C2×C4×Dic3C2×D511yescharacteristic
204#67⋊C4—108no—
205C4×D12—104no—
206C3⋊#95—51no—
207C3⋊#95—51no—
208C3⋊#95—52no—
209C24×C5C22×D312yes—
210C23×D5—32no—
211C2×C5×D4—22no—
212C2×C5×D4—22no—
213C2×C5×D4C4×D314yescomplemented
214C22×C4×C5—31no—
215C22×C4×C5—32no—
216C22×C4×C5—31no—
217C22×C4×C5—64no—
218C22×C4×C5—64no—
219C22×C4×C5—122no—
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—31no—
228C22×Dic5—31no—
229C22×Dic5C22×D312yes—
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—62no—
241C22⋊Dic5—24no—
242C22⋊Dic5—42no—
243#685—64no—
244#685—64no—
245#685—122no—
246C4⋊Dic5—22no—
247#683—34no—
248#683—62no—
249C4×Dic5—22no—
250C4×Dic5—34no—
251C4×Dic5—64no—
252C2×#127—151no—
253C2×C4×D4—31no—
254C2×C4×D4—151no—
255C2×C4×D4—152no—
256#390—51no—
257#390—151no—
258#390—152no—
259#386—152no—
260#386—152no—
261C4×C4⋊C4—151no—
262C4×C4⋊C4—151no—
263C22×C3×C5—24no—
264C22×C3×C5—24no—
265C22×C3×C5—24no—
266C22×C3×C5—42no—
267C22×C3×C5—42no—
268C22×C3×C5—42no—
269C22×C3×C5—42no—
270C22×C3×C5C23×C411yescharacteristic
271C22×C3×C5C22×D411yescharacteristic
272C22×C3×C5C22×D411yescharacteristic
273C22×C3×C5C2×#4111yescharacteristic
274C22×C3×C5C2×#4111yescharacteristic
275C22×C3×C5H(5,𝔽2)11yescharacteristic
276C22×C3×C5H(5,𝔽2)11yescharacteristic
277C2×D15—24no—
278C2×D15—24no—
279C2×D15—24no—
280C2×D15—42no—
281C2×D15—42no—
282C2×D15—42no—
283C2×D15—42no—
284C3×C4×C5C4×D414yescomplemented
285Dic15—22no—
286Dic15C4×D414yescomplemented
287C3×Dic5—22no—
288C3×Dic5—42no—
289C3×Dic5—41no—
290C5×Dic3—24no—
291C5×Dic3—22no—
292C5×Dic3—41no—
293C24×C3C22×D512yes—
294C23×D3—52no—
295C2×C3×D4—22no—
296C2×C3×D4—22no—
297C2×C3×D4C4×D514yescomplemented
298C22×C3×C4—51no—
299C22×C3×C4—52no—
300C22×C3×C4—51no—
301C22×C3×C4C22×D511yescharacteristic
302C2×#67—58no—
303C2×#67—58no—
304C2×#67—104no—
305C2×#67—104no—
306C2×#67—202no—
307C2×#67—202no—
308C22×Dic3—24no—
309C22×Dic3—24no—
310C22×Dic3—42no—
311C22×Dic3—51no—
312C22×Dic3—51no—
313C22×Dic3C22×D511yescharacteristic
314C22×Dic3C22×D511yescharacteristic
315C22×Dic3C22×D512yes—
316C2×D12—54no—
317C2×D12—102no—
318C2×D12—102no—
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—202no—
322C3×C4⋊C4—102no—
323C3×C22⋊C4—104no—
324C3×C22⋊C4—202no—
325C3×C42—102no—
326#217—24no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—202no—
330C4⋊Dic3C22⋊D514yescomplemented
331Dic3⋊C4—54no—
332Dic3⋊C4—102no—
333C4×Dic3—22no—
334C4×Dic3—54no—
335C4×Dic3—104no—
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—22no—
342C23×C5C2×C4×D314yes—
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—28no—
352C2×C4×C5—32no—
353C2×C4×C5—34no—
354C2×C4×C5—62no—
355C2×C4×C5—61no—
356C2×C4×C5—62no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—128no—
362C2×C4×C5C2×C4×D312yes—
363C2×C4×C5D3×D412yes—
364C2×C4×C5#23712yes—
365C22⋊D5—616no—
366C22⋊D5—128no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—21no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—21no—
374C2×Dic5—21no—
375C2×Dic5—32no—
376C2×Dic5—32no—
377C2×Dic5—32no—
378C2×Dic5—32no—
379C2×Dic5—61no—
380C2×Dic5—61no—
381C2×Dic5D3×D412yes—
382D20—68no—
383C4×D5—128no—
384C22×D4—152no—
385C22×D4—152no—
386C22×D4—151no—
387C22×D4D3×D511yescharacteristic
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—151no—
397C2×C4⋊C4—151no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—52no—
400C2×C22⋊C4—52no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C22⋊C4—152no—
404C2×C42—31no—
405C2×C42—51no—
406C2×C42—151no—
407C2×C42—152no—
408#95—151no—
409#95—152no—
410#95—151no—
411C2×C3×C5—44no—
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C2×C4×D411yescharacteristic
414C2×C3×C5#51811yescharacteristic
415C2×C3×C5D4211yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55011yescharacteristic
418C2×C3×C5#55911yescharacteristic
419D15—44no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3C2×C4×D514yes—
427C23×C3C23×D511yescharacteristic
428C22×D3—54no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3—102no—
435C3×D4—28no—
436C2×C3×C4—52no—
437C2×C3×C4—101no—
438C2×C3×C4—101no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—101no—
442C2×C3×C4—102no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4C2×C4×D512yes—
446C2×C3×C4#70912yes—
447C2×C3×C4C2×C22⋊D512yes—
448#67—1016no—
449#67—208no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—48no—
458C2×Dic3—52no—
459C2×Dic3—52no—
460C2×Dic3—52no—
461C2×Dic3—52no—
462C2×Dic3—101no—
463C2×Dic3—101no—
464C2×Dic3D4×D512yes—
465C2×Dic3C2×C22⋊D514yes—
466D12—108no—
467C4×D3—208no—
468C22×C5—24no—
469C22×C5—24no—
470C22×C5—24no—
471C22×C5—42no—
472C22×C5—42no—
473C22×C5—42no—
474C22×C5—42no—
475C22×C5C22×C4×D311yescharacteristic
476C22×C5C2×D3×D411yescharacteristic
477C22×C5C2×D3×D411yescharacteristic
478C22×C5C2×#23711yescharacteristic
479C22×C5#100411yescharacteristic
480C22×C5D3×#4111yescharacteristic
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—64no—
490C4×C5—62no—
491C4×C5—121no—
492C4×C5#67⋊C414yescomplemented
493Dic5—22no—
494Dic5—34no—
495Dic5—42no—
496Dic5—41no—
497Dic5—62no—
498C24—152no—
499C24C2×D3×D512yes—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—158no—
503C2×D4—158no—
504C2×D4—154no—
505C2×D4—304no—
506C2×D4—304no—
507C2×D4—302no—
508C2×D4—302no—
509C2×D4—602no—
510C2×D4—602no—
511C2×D4#120014yescomplemented
512C22×C4—31no—
513C22×C4—32no—
514C22×C4—31no—
515C22×C4—51no—
516C22×C4—51no—
517C22×C4—52no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—122no—
521C22×C4—151no—
522C22×C4—151no—
523C22×C4—304no—
524C22×C4—304no—
525C22×C4—602no—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—34no—
528C4⋊C4—102no—
529C4⋊C4—154no—
530C4⋊C4—302no—
531C22⋊C4—64no—
532C22⋊C4—104no—
533C22⋊C4—202no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C22⋊C4—602no—
537C42—62no—
538C42—102no—
539C42—154no—
540C42—304no—
541C3×C5#236611yescharacteristic, complemented, Hall
542C22×C3—24no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3C22×C4×D511yescharacteristic
550C22×C3C2×#70911yescharacteristic
551C22×C3C2×D4×D511yescharacteristic
552C22×C3#414411yescharacteristic
553C22×C3D5×#4111yescharacteristic
554C22×C3#414911yescharacteristic
555C22×C3C22×C22⋊D511yescharacteristic
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3—202no—
563C3×C4—102no—
564C3×C4—202no—
565C3×C4—201no—
566C3×C4C4×C22⋊D514yescomplemented
567Dic3—24no—
568Dic3—22no—
569Dic3—41no—
570Dic3—54no—
571Dic3—102no—
572C2×C5—44no—
573C2×C5C2×#67⋊C411yescharacteristic
574C2×C5C4×D3×D411yescharacteristic
575C2×C5#554511yescharacteristic
576C2×C5#559911yescharacteristic
577C2×C5#560911yescharacteristic
578C2×C5#568111yescharacteristic
579C2×C5#571811yescharacteristic
580D5—124no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—154no—
588C23—302no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23C2×#120014yes—
595C23C22×D3×D511yescharacteristic
596D4—28no—
597D4—3016no—
598D4—308no—
599D4—608no—
600C2×C4—32no—
601C2×C4—34no—
602C2×C4—52no—
603C2×C4—62no—
604C2×C4—61no—
605C2×C4—62no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—102no—
613C2×C4—101no—
614C2×C4—101no—
615C2×C4—102no—
616C2×C4—102no—
617C2×C4—101no—
618C2×C4—128no—
619C2×C4—152no—
620C2×C4—152no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—301no—
624C2×C4—301no—
625C2×C4—608no—
626C2×C4#677912yes—
627C2×C4C2×#120012yes—
628C2×C4D3×C22⋊D512yes—
629C2×C3—44no—
630C2×C3C4×D4×D511yescharacteristic
631C2×C3#6587911yescharacteristic
632C2×C3#6588711yescharacteristic
633C2×C3#6589311yescharacteristic
634C2×C3C2×C4×C22⋊D511yescharacteristic
635C2×C3D4×C22⋊D511yescharacteristic
636C2×C3#6616811yescharacteristic
637D3—204no—
638C5#7630611yescharacteristic, complemented, Sylow
639C22—24no—
640C22—24no—
641C22—24no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22D3×D4×D511yescharacteristic
654C22#9202411yescharacteristic
655C22#9202611yescharacteristic
656C22#9202711yescharacteristic
657C22C2×#677911yescharacteristic
658C22C22×#120011yescharacteristic
659C22C2×D3×C22⋊D511yescharacteristic
660C4—62no—
661C4—64no—
662C4—102no—
663C4—121no—
664C4—154no—
665C4—202no—
666C4—201no—
667C4—302no—
668C4#9155614yescomplemented
669C3#1061407411yescharacteristic, complemented, Sylow
670C2—44no—
671C2—604no—
672C2D4×#120011yescharacteristic
673C2#1175478411yescharacteristic
674C2#1175490311yescharacteristic
675C2#1175492211yescharacteristic
676C2#1175494811yescharacteristic
677C2#1175503611yescharacteristic
678C2C2×#9155611yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91829C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2366
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×C5×D4×Dic3C2semidirect
3. C2×#91556C2semidirect
4. C2×#91418C2semidirect
5. C3×#65510C2semidirect
6. #11749520C2semidirect
7. #11749498C2semidirect
8. #11749483C2semidirect
9. C4×#6669C2semidirect
10. #11748789C2semidirect
11. #11748699C2semidirect
19. #91829C4semidirect
45. #65510D3semidirect
56. C2×C3×C5×D4C2×C4semidirect
62. C2×#1220C2×C4semidirect
63. C2×#1220C2×C4semidirect
68. C2×D60C2×C4semidirect
81. C4×Dic15C2×C4semidirect
83. C5×C4⋊Dic3D4semidirect
90. #6669D4semidirect
96. C2×D4×Dic3D5semidirect
213. C2×C5×D4C4×D3semidirect
284. C3×C4×C5C4×D4semidirect
286. Dic15C4×D4semidirect
297. C2×C3×D4C4×D5semidirect
330. C4⋊Dic3C22⋊D5semidirect
492. C4×C5#67⋊C4semidirect
511. C2×D4#1200semidirect
541. C3×C5#2366semidirect
566. C3×C4C4×C22⋊D5semidirect
638. C5#76306semidirect
668. C4#91556semidirect
669. C3#10614074semidirect

Maximal subgroups

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

subgroupindex
C2×#918292
C2×C5×D4×Dic32
C2×#915562
C2×#914182
C3×#655102
#117495202
#117494982
#117494832
C4×#66692
#117487892
#117486992
#106140743
#763065