Finite Group Databasebeta

← #14326063

Subgroups — #14326063

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×#6819C211yesmaximal, characteristic
2C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
4#11749498C212yesmaximal, complemented
5#11749494C212yesmaximal, complemented
6#11749473C212yesmaximal, complemented
7C2×#90994C212yesmaximal, complemented
8#11748799C211yesmaximal, characteristic, complemented
9C4×#6667C211yesmaximal, characteristic, complemented
10#11748599C211yesmaximal, characteristic, complemented
11#11748587C211yesmaximal, characteristic, complemented
12#10614061—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×#1220C2212yes—
15C23×Dic15C2212yes—
16C2×#6819—24no—
17C2×#6819—24no—
18C2×#6819C418yescomplemented
19C22×C4×D15C2211yescharacteristic
20C22×Dic30C2211yescharacteristic
21C23×C5×Dic3C2212yes—
22C23×C3×Dic5C2212yes—
23C2×C5×#217C2212yes—
24C5×D4×Dic3—24no—
25C2×C5×C4⋊Dic3C2211yescharacteristic
26C2×C4×C5×Dic3C2211yescharacteristic
27C2×C3×C22⋊Dic5C2212yes—
28C3×D4×Dic5—24no—
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C2×C3×C4×Dic5C2211yescharacteristic
31C2×#6667C2211yescharacteristic
32C2×#6667C2211yescharacteristic
33C2×#6667C2212yes—
34#90994C2211yescharacteristic
35#90994C2212yes—
36#90994C2212yes—
37#90994C2212yes—
38#90994C2211yescharacteristic
39#90994C2212yes—
40#90994C2212yes—
41#82330—51nomaximal, Hall
42C22×#711—31no—
43C2×C4×C5×D4—31no—
44C2×D4×Dic5D311yescharacteristic, complemented
45#65502—32no—
46C2×#3963—32no—
47#65276—31no—
48#65263—31no—
49#65247—32no—
50#65232—32no—
51C4×#685—31no—
52#65218—31no—
53C24×C3×C5C2312yes—
54C23×D15C2311yescharacteristic
55C2×C3×C5×D4C2×C414yes—
56C2×C3×C5×D4D414yes—
57C2×C3×C5×D4D414yes—
58C22×C3×C4×C5C2311yescharacteristic
59C2×#1220—24no—
60C2×#1220—24no—
61C2×#1220C2×C418yescomplemented
62C22×Dic15—24no—
63C22×Dic15—24no—
64C22×Dic15C2×C418yescomplemented
65C22×Dic15C2312yes—
66C22×Dic15C2311yescharacteristic
67#6819—232no—
68C2×C4×D15—22no—
69C2×C4×D15—22no—
70C2×C4×D15C2×C414yescomplemented
71C2×Dic30—22no—
72C2×Dic30—22no—
73C2×Dic30C2×C414yescomplemented
74C22×C5×Dic3—24no—
75C22×C5×Dic3—24no—
76C22×C5×Dic3—42no—
77C22×C5×Dic3C2311yescharacteristic
78C22×C5×Dic3C2312yes—
79C22×C5×Dic3C2311yescharacteristic
80C22×C3×Dic5—24no—
81C22×C3×Dic5—24no—
82C22×C3×Dic5—42no—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2312yes—
85C22×C3×Dic5C2311yescharacteristic
86C5×#217—24no—
87C5×C4⋊Dic3—22no—
88C4×C5×Dic3—22no—
89C3×C22⋊Dic5—24no—
90C3×C4⋊Dic5—22no—
91C3×C4×Dic5—22no—
92#6667—22no—
93#6667—22no—
94#6667—42no—
95C22×#237—51no—
96C2×C3×C4×D4—51no—
97C2×D4×Dic3D511yescharacteristic, complemented
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—
106C22×C5×D4C2×D311yescharacteristic
107C23×C4×C5—32no—
108C22×C22⋊D5—32no—
109C23×Dic5—32no—
110C23×Dic5C2×D312yes—
111C2×#711—38no—
112C2×#711—64no—
113C2×#711—64no—
114C22×C4×D5—31no—
115C22×Dic10—31no—
116C4×C5×D4—64no—
117C2×C5×C4⋊C4—31no—
118C2×C5×C22⋊C4—32no—
119C2×C42×C5—31no—
120C2×C22⋊Dic5C2×D312yes—
121D4×Dic5—24no—
122C2×#685—31no—
123C2×#685—31no—
124C2×#685—32no—
125C2×C4⋊Dic5C2×D311yescharacteristic
126C2×C4×Dic5C2×D311yescharacteristic
127#3963—32no—
128#3963—32no—
129#3963—31no—
130#3963—31no—
131#3963—32no—
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×D15—21no—
144C22×D15—21no—
145C22×D15—21no—
146C22×D15—21no—
147C22×D15—21no—
148C22×D15—21no—
149C22×D15C22×C412yes—
150C3×C5×D4C22⋊C4116yescomplemented
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154#1220—216no—
155C2×Dic15—216no—
156C2×Dic15—22no—
157C2×Dic15—22no—
158C2×Dic15—21no—
159C2×Dic15—21no—
160C2×Dic15C22×C414yes—
161C2×Dic15C22×C412yes—
162C4×D15—28no—
163Dic30—28no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—22no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—22no—
170C2×C5×Dic3—22no—
171C2×C5×Dic3—21no—
172C2×C5×Dic3—48no—
173C2×C5×Dic3#4112yescomplemented
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×#67—52no—
187C23×Dic3—52no—
188C23×Dic3C2×D512yes—
189C2×#237—58no—
190C2×#237—104no—
191C2×#237—104no—
192C22×C4×D3—51no—
193C22×Dic6—51no—
194C3×C4×D4—104no—
195C2×C3×C4⋊C4—51no—
196C2×C3×C22⋊C4—52no—
197C2×C3×C42—51no—
198C2×#217C2×D512yes—
199D4×Dic3—24no—
200C2×(C2×D3)⋊C4—51no—
201C2×(C2×D3)⋊C4—51no—
202C2×(C2×D3)⋊C4—52no—
203C2×C4⋊Dic3C2×D511yescharacteristic
204C2×C4×Dic3C2×D511yescharacteristic
205C3⋊#95—52no—
206C3⋊#95—52no—
207C3⋊#95—51no—
208C3⋊#95—51no—
209C3⋊#95—52no—
210C3⋊#95—52no—
211C3⋊#95—52no—
212C24×C5C22×D312yes—
213C23×D5—31no—
214C2×C5×D4C4×D314yes—
215C2×C5×D4D1214yes—
216C2×C5×D4#6714yes—
217C22×C4×C5—31no—
218C22×C4×C5—31no—
219C22×C4×C5—32no—
220C22×C4×C5—64no—
221C22×C4×C5—64no—
222C22×C4×C5—122no—
223C22×C4×C5C22×D311yescharacteristic
224C2×C22⋊D5—38no—
225C2×C22⋊D5—64no—
226C2×C22⋊D5—64no—
227C22×Dic5—24no—
228C22×Dic5—24no—
229C22×Dic5—38no—
230C22×Dic5—32no—
231C22×Dic5—31no—
232C22×Dic5—42no—
233C22×Dic5—64no—
234C22×Dic5—64no—
235C22×Dic5C22×D311yescharacteristic
236C22×Dic5C22×D312yes—
237C22×Dic5C22×D311yescharacteristic
238#711—632no—
239C2×C4×D5—34no—
240C2×C4×D5—62no—
241C2×C4×D5—62no—
242C2×Dic10—34no—
243C2×Dic10—62no—
244C2×Dic10—62no—
245C5×C4⋊C4—62no—
246C5×C22⋊C4—64no—
247C42×C5—62no—
248C22⋊Dic5—24no—
249#685—62no—
250#685—62no—
251#685—122no—
252C4⋊Dic5—22no—
253C4×Dic5—22no—
254C22×#41—151no—
255C2×C4×D4—31no—
256C2×C4×D4—51no—
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×D15—22no—
280C2×D15—22no—
281C2×D15—22no—
282C2×D15—41no—
283C2×D15—41no—
284C2×D15—41no—
285C2×D15—41no—
286C3×C4×C5C2×C22⋊C414yes—
287Dic15—24no—
288Dic15—22no—
289C3×Dic5—22no—
290C3×Dic5—42no—
291C3×Dic5—41no—
292C5×Dic3—22no—
293C5×Dic3—42no—
294C5×Dic3—41no—
295C24×C3C22×D512yes—
296C23×D3—51no—
297C2×C3×D4C4×D514yes—
298C2×C3×D4D2014yes—
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—58no—
308C2×#67—104no—
309C2×#67—104no—
310C22×Dic3—24no—
311C22×Dic3—24no—
312C22×Dic3—42no—
313C22×Dic3—58no—
314C22×Dic3—52no—
315C22×Dic3—51no—
316C22×Dic3—104no—
317C22×Dic3—104no—
318C22×Dic3C22×D511yescharacteristic
319C22×Dic3C22×D512yes—
320C22×Dic3C22×D511yescharacteristic
321#237—1032no—
322C2×C4×D3—54no—
323C2×C4×D3—102no—
324C2×C4×D3—102no—
325C2×Dic6—54no—
326C2×Dic6—102no—
327C2×Dic6—102no—
328C3×C4⋊C4—102no—
329C3×C22⋊C4—104no—
330C3×C42—102no—
331#217—24no—
332(C2×D3)⋊C4—102no—
333(C2×D3)⋊C4—102no—
334(C2×D3)⋊C4—202no—
335C4⋊Dic3—22no—
336C4×Dic3—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5C2×C4×D314yes—
342C23×C5C2×D1214yes—
343C23×C5C2×#6714yes—
344C23×C5C23×D311yescharacteristic
345C22×D5—32no—
346C22×D5—61no—
347C22×D5—61no—
348C22×D5—61no—
349C22×D5—61no—
350C22×D5—61no—
351C22×D5—61no—
352C5×D4(C2×D3)⋊C4116yescomplemented
353C2×C4×C5—32no—
354C2×C4×C5—61no—
355C2×C4×C5—61no—
356C2×C4×C5—61no—
357C2×C4×C5—62no—
358C2×C4×C5—61no—
359C2×C4×C5—62no—
360C2×C4×C5—62no—
361C2×C4×C5—61no—
362C2×C4×C5—128no—
363C2×C4×C5C2×C4×D312yes—
364C2×C4×C5C2×D1212yes—
365C2×C4×C5C2×#6712yes—
366C22⋊D5—616no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—21no—
372C2×Dic5—21no—
373C2×Dic5—21no—
374C2×Dic5—22no—
375C2×Dic5—34no—
376C2×Dic5—32no—
377C2×Dic5—48no—
378C2×Dic5—616no—
379C2×Dic5—62no—
380C2×Dic5—61no—
381C2×Dic5—62no—
382C2×Dic5—61no—
383C2×Dic5#23712yescomplemented
384C4×D5—68no—
385Dic10—68no—
386C2×#41—158no—
387C2×#41—304no—
388C2×#41—304no—
389C22×Q8—151no—
390C22×D4—152no—
391C22×D4D3×D511yescharacteristic
392C23×C4—32no—
393C23×C4—52no—
394C23×C4—152no—
395C23×C4—151no—
396C4×D4—64no—
397C4×D4—104no—
398C2×C4⋊C4—31no—
399C2×C4⋊C4—51no—
400C2×C22⋊C4—32no—
401C2×C22⋊C4—52no—
402C2×C22⋊C4—151no—
403C2×C22⋊C4—151no—
404C2×C22⋊C4—152no—
405C2×C42—31no—
406C2×C42—51no—
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
422D15—42no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3C2×C4×D514yes—
428C23×C3C2×D2014yes—
429C23×C3C2×C22⋊D514yes—
430C23×C3C23×D511yescharacteristic
431C22×D3—52no—
432C22×D3—101no—
433C22×D3—101no—
434C22×D3—101no—
435C22×D3—101no—
436C22×D3—101no—
437C22×D3—101no—
438C3×D4#685116yescomplemented
439C2×C3×C4—52no—
440C2×C3×C4—101no—
441C2×C3×C4—101no—
442C2×C3×C4—101no—
443C2×C3×C4—102no—
444C2×C3×C4—101no—
445C2×C3×C4—102no—
446C2×C3×C4—102no—
447C2×C3×C4—101no—
448C2×C3×C4—208no—
449C2×C3×C4C2×C4×D512yes—
450C2×C3×C4C2×D2012yes—
451C2×C3×C4C2×C22⋊D512yes—
452#67—1016no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—21no—
460C2×Dic3—22no—
461C2×Dic3—48no—
462C2×Dic3—54no—
463C2×Dic3—52no—
464C2×Dic3—102no—
465C2×Dic3—101no—
466C2×Dic3—102no—
467C2×Dic3—101no—
468C2×Dic3—1016no—
469C2×Dic3#71112yescomplemented
470C4×D3—108no—
471Dic6—108no—
472C22×C5—24no—
473C22×C5—24no—
474C22×C5—24no—
475C22×C5—24no—
476C22×C5—24no—
477C22×C5—24no—
478C22×C5C2×(C2×D3)⋊C418yes—
479C22×C5C22×C4×D311yescharacteristic
480C22×C5C22×D1211yescharacteristic
481C22×C5C2×#23711yescharacteristic
482C22×C5#100411yescharacteristic
483C22×C5D3×#4111yescharacteristic
484C22×C5#101011yescharacteristic
485C22×C5C22×#6711yescharacteristic
486C2×D5—62no—
487C2×D5—62no—
488C2×D5—62no—
489C2×D5—121no—
490C2×D5—121no—
491C2×D5—121no—
492C2×D5—121no—
493C4×C5—62no—
494C4×C5—122no—
495C4×C5—121no—
496C4×C5C2×(C2×D3)⋊C414yes—
497Dic5—22no—
498Dic5—42no—
499Dic5—41no—
500Dic5—64no—
501Dic5—62no—
502C24—151no—
503C24C2×D3×D512yes—
504#41—3032no—
505C2×Q8—154no—
506C2×Q8—302no—
507C2×Q8—302no—
508C2×D4—158no—
509C2×D4—304no—
510C2×D4—304no—
511C2×D4#120014yes—
512C2×D4#120214yes—
513C2×D4#120314yes—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—32no—
517C22×C4—51no—
518C22×C4—51no—
519C22×C4—52no—
520C22×C4—64no—
521C22×C4—64no—
522C22×C4—104no—
523C22×C4—104no—
524C22×C4—122no—
525C22×C4—158no—
526C22×C4—151no—
527C22×C4—152no—
528C22×C4—154no—
529C22×C4—202no—
530C22×C4—304no—
531C22×C4—304no—
532C22×C4—302no—
533C22×C4—302no—
534C22×C4C2×D3×D511yescharacteristic
535C4⋊C4—62no—
536C4⋊C4—102no—
537C22⋊C4—64no—
538C22⋊C4—104no—
539C22⋊C4—302no—
540C22⋊C4—302no—
541C22⋊C4—602no—
542C42—62no—
543C42—102no—
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×#68518yes—
552C22×C3C22×C4×D511yescharacteristic
553C22×C3C22×D2011yescharacteristic
554C22×C3C2×#71111yescharacteristic
555C22×C3#414411yescharacteristic
556C22×C3D5×#4111yescharacteristic
557C22×C3#415011yescharacteristic
558C22×C3C22×C22⋊D511yescharacteristic
559C2×D3—102no—
560C2×D3—102no—
561C2×D3—102no—
562C2×D3—201no—
563C2×D3—201no—
564C2×D3—201no—
565C2×D3—201no—
566C3×C4—102no—
567C3×C4—202no—
568C3×C4—201no—
569C3×C4C2×#68514yes—
570Dic3—22no—
571Dic3—42no—
572Dic3—41no—
573Dic3—104no—
574Dic3—102no—
575C2×C5—28no—
576C2×C5C4×#23711yescharacteristic
577C2×C5#554611yescharacteristic
578C2×C5#555411yescharacteristic
579C2×C5#555511yescharacteristic
580C2×C5C22×(C2×D3)⋊C411yescharacteristic
581C2×C5#580611yescharacteristic
582C2×C5#582411yescharacteristic
583D5—122no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—152no—
589C23—301no—
590C23—301no—
591C23—301no—
592C23—301no—
593C23—301no—
594C23—301no—
595C23C2×#120014yes—
596C23C2×#120214yes—
597C23C2×#120314yes—
598C23C22×D3×D511yescharacteristic
599Q8—308no—
600D4—3016no—
601D4#6667116yescomplemented
602C2×C4—32no—
603C2×C4—52no—
604C2×C4—61no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—62no—
609C2×C4—62no—
610C2×C4—61no—
611C2×C4—62no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—101no—
615C2×C4—102no—
616C2×C4—101no—
617C2×C4—102no—
618C2×C4—101no—
619C2×C4—102no—
620C2×C4—128no—
621C2×C4—152no—
622C2×C4—154no—
623C2×C4—208no—
624C2×C4—301no—
625C2×C4—302no—
626C2×C4—301no—
627C2×C4—302no—
628C2×C4—3016no—
629C2×C4—308no—
630C2×C4C2×#120012yes—
631C2×C4C2×#120212yes—
632C2×C4C2×#120312yes—
633C2×C3—28no—
634C2×C3C4×#71111yescharacteristic
635C2×C3#6588011yescharacteristic
636C2×C3#6588811yescharacteristic
637C2×C3#6588911yescharacteristic
638C2×C3C22×#68511yescharacteristic
639C2×C3#6614011yescharacteristic
640C2×C3#6615811yescharacteristic
641D3—202no—
642C5#8233011yescharacteristic, complemented, Sylow
643C22—24no—
644C22—24no—
645C22—24no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—302no—
650C22—302no—
651C22—302no—
652C22—601no—
653C22—601no—
654C22—601no—
655C22—601no—
656C22C2×#666718yes—
657C22#9202011yescharacteristic
658C22D5×#23711yescharacteristic
659C22D3×#71111yescharacteristic
660C22#9202511yescharacteristic
661C22C22×#120011yescharacteristic
662C22C22×#120211yescharacteristic
663C22C22×#120311yescharacteristic
664C4—62no—
665C4—102no—
666C4—121no—
667C4—122no—
668C4—202no—
669C4—201no—
670C4—302no—
671C4—304no—
672C4C2×#666714yes—
673C3#1061406111yescharacteristic, complemented, Sylow
674C2—28no—
675C2—602no—
676C2#1175485311yescharacteristic
677C2#1175491611yescharacteristic
678C2#1175496311yescharacteristic
679C2#1175496511yescharacteristic
680C2#1175497211yescharacteristic
681C2#1175497511yescharacteristic
682C2C22×#666711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6819C2
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×C5×D4×Dic3C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. #11749498C2semidirect
5. #11749494C2semidirect
6. #11749473C2semidirect
7. C2×#90994C2semidirect
8. #11748799C2semidirect
9. C4×#6667C2semidirect
10. #11748599C2semidirect
11. #11748587C2semidirect
18. C2×#6819C4semidirect
44. C2×D4×Dic5D3semidirect
61. C2×#1220C2×C4semidirect
64. C22×Dic15C2×C4semidirect
70. C2×C4×D15C2×C4semidirect
73. C2×Dic30C2×C4semidirect
97. C2×D4×Dic3D5semidirect
150. C3×C5×D4C22⋊C4semidirect
173. C2×C5×Dic3#41semidirect
183. C2×C3×Dic5#41semidirect
352. C5×D4(C2×D3)⋊C4semidirect
383. C2×Dic5#237semidirect
438. C3×D4#685semidirect
469. C2×Dic3#711semidirect
544. C3×C5#2339semidirect
601. D4#6667semidirect
642. C5#82330semidirect
673. C3#10614061semidirect

Maximal subgroups

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

subgroupindex
C22×#68192
C2×C5×D4×Dic32
C2×C3×D4×Dic52
#117494982
#117494942
#117494732
C2×#909942
#117487992
C4×#66672
#117485992
#117485872
#106140613
#823305