Finite Group Databasebeta

← #14326062

Subgroups — #14326062

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×C3×#711C211yesmaximal, characteristic
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
4#11749500C212yesmaximal, complemented
5#11749495C212yesmaximal, complemented
6#11749471C212yesmaximal, complemented
7C2×#90994C212yesmaximal, complemented
8#11748759C211yesmaximal, characteristic, complemented
9C4×#6665C211yesmaximal, characteristic, complemented
10#11748610C211yesmaximal, characteristic, complemented
11#11748609C211yesmaximal, characteristic, complemented
12#10614061—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yes—
15C23×C5×Dic3C2212yes—
16C22×C3×C22⋊D5C2212yes—
17C23×C3×Dic5C2212yes—
18C2×C3×#711—24no—
19C2×C3×#711—24no—
20C2×C3×#711C418yescomplemented
21C22×C3×C4×D5C2211yescharacteristic
22C22×C3×Dic10C2211yescharacteristic
23C2×#6719C2212yes—
24D4×Dic15—24no—
25C2×C4⋊Dic15C2211yescharacteristic
26C2×C4×Dic15C2211yescharacteristic
27C2×C5×#217C2212yes—
28C5×D4×Dic3—24no—
29C2×C5×C4⋊Dic3C2211yescharacteristic
30C2×C4×C5×Dic3C2211yescharacteristic
31C2×#6665C2211yescharacteristic
32C2×#6665C2211yescharacteristic
33C2×#6665C2212yes—
34#90994C2212yes—
35#90994C2212yes—
36#90994C2212yes—
37#90994C2212yes—
38#90994C2211yescharacteristic
39#90994C2211yescharacteristic
40#90994C2212yes—
41#84088—51nomaximal, Hall
42C22×#711D311yescharacteristic
43C2×C4×C5×D4—31no—
44C2×D4×Dic5—31no—
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×C3×D5C2311yescharacteristic
55C2×C3×C5×D4C2×C414yes—
56C2×C3×C5×D4D414yes—
57C2×C3×C5×D4D414yes—
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15—24no—
60C22×Dic15—24no—
61C22×Dic15—42no—
62C22×Dic15C2311yescharacteristic
63C22×Dic15C2312yes—
64C22×Dic15C2311yescharacteristic
65C22×C5×Dic3—24no—
66C22×C5×Dic3—24no—
67C22×C5×Dic3—42no—
68C22×C5×Dic3C2311yescharacteristic
69C22×C5×Dic3C2312yes—
70C22×C5×Dic3C2311yescharacteristic
71C2×C3×C22⋊D5—24no—
72C2×C3×C22⋊D5—24no—
73C2×C3×C22⋊D5C2×C418yescomplemented
74C22×C3×Dic5—24no—
75C22×C3×Dic5—24no—
76C22×C3×Dic5C2×C418yescomplemented
77C22×C3×Dic5C2312yes—
78C22×C3×Dic5C2311yescharacteristic
79C3×#711—232no—
80C2×C3×C4×D5—22no—
81C2×C3×C4×D5—22no—
82C2×C3×C4×D5C2×C414yescomplemented
83C2×C3×Dic10—22no—
84C2×C3×Dic10—22no—
85C2×C3×Dic10C2×C414yescomplemented
86#6719—24no—
87C4⋊Dic15—22no—
88C4×Dic15—22no—
89C5×#217—24no—
90C5×C4⋊Dic3—22no—
91C4×C5×Dic3—22no—
92#6665—22no—
93#6665—22no—
94#6665—42no—
95C22×C3×#41—51no—
96C2×D4×Dic3—51no—
97C2×D4×Dic3D511yescharacteristic, complemented
98#5229—51no—
99#5229—51no—
100#5220—52no—
101#5220—52no—
102#5212—51no—
103#5211—52no—
104C4×#217—51no—
105C2×C3⋊#95—52no—
106C22×C5×D4C2×D311yescharacteristic
107C23×C4×C5—32no—
108C22×C22⋊D5C2×D312yes—
109C23×Dic5—32no—
110C23×Dic5C2×D312yes—
111C2×#711—24no—
112C2×#711—24no—
113C2×#711Dic318yescomplemented
114C22×C4×D5C2×D311yescharacteristic
115C22×Dic10C2×D311yescharacteristic
116C4×C5×D4—64no—
117C2×C5×C4⋊C4—31no—
118C2×C5×C22⋊C4—32no—
119C2×C42×C5—31no—
120C2×C22⋊Dic5—32no—
121D4×Dic5—64no—
122C2×#685—31no—
123C2×#685—31no—
124C2×#685—32no—
125C2×C4⋊Dic5—31no—
126C2×C4×Dic5—31no—
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×C3×D5—21no—
144C22×C3×D5—21no—
145C22×C3×D5—21no—
146C22×C3×D5—21no—
147C22×C3×D5—21no—
148C22×C3×D5—21no—
149C22×C3×D5C22×C412yes—
150C3×C5×D4C22⋊C4116yescomplemented
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×Dic15—21no—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15—22no—
158C2×Dic15—21no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—21no—
162C2×Dic15—48no—
163C2×Dic15#4112yescomplemented
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
174C3×C22⋊D5—216no—
175C2×C3×Dic5—216no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—21no—
179C2×C3×Dic5—21no—
180C2×C3×Dic5C22×C414yes—
181C2×C3×Dic5C22×C412yes—
182C3×C4×D5—28no—
183C3×Dic10—28no—
184C2×C3×#41—58no—
185C2×C3×#41—104no—
186C2×C3×#41—104no—
187C22×C3×Q8—51no—
188C22×C3×D4—52no—
189C22×C3×D4C2×D511yescharacteristic
190C23×C3×C4—52no—
191C23×C3×C4—51no—
192C23×Dic3—52no—
193C23×Dic3C2×D512yes—
194C2×#217—52no—
195C2×#217—51no—
196C2×#217—51no—
197C2×#217—52no—
198C2×#217C2×D512yes—
199D4×Dic3—24no—
200D4×Dic3—104no—
201C2×C4⋊Dic3—51no—
202C2×C4⋊Dic3C2×D511yescharacteristic
203C2×C4×Dic3—51no—
204C2×C4×Dic3C2×D511yescharacteristic
205C3⋊#95—51no—
206C3⋊#95—52no—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C3⋊#95—51no—
210C3⋊#95—52no—
211C3⋊#95—52no—
212C24×C5C22×D312yes—
213C23×D5C22×D311yescharacteristic
214C2×C5×D4C2×Dic314yes—
215C2×C5×D4#6714yes—
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—24no—
225C2×C22⋊D5—24no—
226C2×C22⋊D5C2×Dic318yescomplemented
227C22×Dic5—24no—
228C22×Dic5—24no—
229C22×Dic5—31no—
230C22×Dic5—31no—
231C22×Dic5—32no—
232C22×Dic5—64no—
233C22×Dic5—64no—
234C22×Dic5—122no—
235C22×Dic5C2×Dic318yescomplemented
236C22×Dic5C22×D312yes—
237C22×Dic5C22×D311yescharacteristic
238#711—232no—
239C2×C4×D5—22no—
240C2×C4×D5—22no—
241C2×C4×D5C2×Dic314yescomplemented
242C2×Dic10—22no—
243C2×Dic10—22no—
244C2×Dic10C2×Dic314yescomplemented
245C5×C4⋊C4—62no—
246C5×C22⋊C4—64no—
247C42×C5—62no—
248C22⋊Dic5—64no—
249#685—62no—
250#685—62no—
251#685—122no—
252C4⋊Dic5—62no—
253C4×Dic5—62no—
254C22×#41—51no—
255C2×C4×D4—31no—
256C2×C4×D4—151no—
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×C3×D5—22no—
280C2×C3×D5—22no—
281C2×C3×D5—22no—
282C2×C3×D5—41no—
283C2×C3×D5—41no—
284C2×C3×D5—41no—
285C2×C3×D5—41no—
286C3×C4×C5C2×C22⋊C414yes—
287Dic15—22no—
288Dic15—42no—
289Dic15—41no—
290C3×Dic5—24no—
291C3×Dic5—22no—
292C5×Dic3—22no—
293C5×Dic3—42no—
294C5×Dic3—41no—
295C24×C3—51no—
296C24×C3C22×D512yes—
297C3×#41—1032no—
298C2×C3×Q8—54no—
299C2×C3×Q8—102no—
300C2×C3×Q8—102no—
301C2×C3×D4—58no—
302C2×C3×D4—104no—
303C2×C3×D4—104no—
304C2×C3×D4C4×D514yes—
305C2×C3×D4D2014yes—
306C2×C3×D4C22⋊D514yes—
307C22×C3×C4—58no—
308C22×C3×C4—51no—
309C22×C3×C4—52no—
310C22×C3×C4—54no—
311C22×C3×C4—104no—
312C22×C3×C4—104no—
313C22×C3×C4—102no—
314C22×C3×C4—102no—
315C22×C3×C4C22×D511yescharacteristic
316C22×Dic3—24no—
317C22×Dic3—24no—
318C22×Dic3—42no—
319C22×Dic3—51no—
320C22×Dic3—51no—
321C22×Dic3—52no—
322C22×Dic3—104no—
323C22×Dic3—104no—
324C22×Dic3—202no—
325C22×Dic3C22×D511yescharacteristic
326C22×Dic3C22×D512yes—
327C22×Dic3C22×D511yescharacteristic
328#217—24no—
329#217—102no—
330#217—104no—
331#217—102no—
332#217—202no—
333C4⋊Dic3—22no—
334C4⋊Dic3—102no—
335C4×Dic3—22no—
336C4×Dic3—102no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5C22×Dic314yes—
342C23×C5C2×#6714yes—
343C23×C5C2×#6714yes—
344C23×C5C23×D311yescharacteristic
345C22×D5—21no—
346C22×D5—21no—
347C22×D5—21no—
348C22×D5—21no—
349C22×D5—21no—
350C22×D5—21no—
351C22×D5C22×Dic312yes—
352C5×D4#217116yescomplemented
353C2×C4×C5—32no—
354C2×C4×C5—61no—
355C2×C4×C5—61no—
356C2×C4×C5—61no—
357C2×C4×C5—62no—
358C2×C4×C5—62no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—62no—
362C2×C4×C5—128no—
363C2×C4×C5C22×Dic312yes—
364C2×C4×C5C2×#6712yes—
365C2×C4×C5C2×#6712yes—
366C22⋊D5—216no—
367C2×Dic5—216no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—32no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—61no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378C2×Dic5—61no—
379C2×Dic5—61no—
380C2×Dic5—62no—
381C2×Dic5—128no—
382C2×Dic5C22×Dic314yes—
383C2×Dic5C22×Dic312yes—
384C4×D5—28no—
385Dic10—28no—
386C2×#41—58no—
387C2×#41—104no—
388C2×#41—104no—
389C22×Q8—51no—
390C22×D4—52no—
391C22×D4D3×D511yescharacteristic
392C23×C4—32no—
393C23×C4—52no—
394C23×C4—51no—
395C23×C4—152no—
396C4×D4—64no—
397C4×D4—304no—
398C2×C4⋊C4—31no—
399C2×C4⋊C4—151no—
400C2×C22⋊C4—32no—
401C2×C22⋊C4—151no—
402C2×C22⋊C4—151no—
403C2×C22⋊C4—152no—
404C2×C22⋊C4—152no—
405C2×C42—31no—
406C2×C42—151no—
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
422C3×D5—42no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—52no—
428C23×C3—101no—
429C23×C3—101no—
430C23×C3—101no—
431C23×C3—101no—
432C23×C3—101no—
433C23×C3—101no—
434C23×C3C2×C4×D514yes—
435C23×C3C2×D2014yes—
436C23×C3C2×C22⋊D514yes—
437C23×C3C23×D511yescharacteristic
438C3×Q8—108no—
439C3×D4—1016no—
440C3×D4#685116yescomplemented
441C2×C3×C4—52no—
442C2×C3×C4—54no—
443C2×C3×C4—101no—
444C2×C3×C4—102no—
445C2×C3×C4—101no—
446C2×C3×C4—102no—
447C2×C3×C4—1016no—
448C2×C3×C4—108no—
449C2×C3×C4C2×C4×D512yes—
450C2×C3×C4C2×D2012yes—
451C2×C3×C4C2×C22⋊D512yes—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—21no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—22no—
460C2×Dic3—48no—
461C2×Dic3—52no—
462C2×Dic3—101no—
463C2×Dic3—101no—
464C2×Dic3—101no—
465C2×Dic3—102no—
466C2×Dic3—101no—
467C2×Dic3—102no—
468C2×Dic3—102no—
469C2×Dic3—101no—
470C2×Dic3—208no—
471C2×Dic3#71112yescomplemented
472C22×C5—24no—
473C22×C5—24no—
474C22×C5—24no—
475C22×C5—24no—
476C22×C5—24no—
477C22×C5—24no—
478C22×C5C2×#21718yes—
479C22×C5D3×#4111yescharacteristic
480C22×C5D3×#4111yescharacteristic
481C22×C5#100911yescharacteristic
482C22×C5#101011yescharacteristic
483C22×C5C23×Dic311yescharacteristic
484C22×C5C22×#6711yescharacteristic
485C22×C5C22×#6711yescharacteristic
486C2×D5—22no—
487C2×D5—22no—
488C2×D5—22no—
489C2×D5—41no—
490C2×D5—41no—
491C2×D5—41no—
492C2×D5—41no—
493C4×C5—62no—
494C4×C5—121no—
495C4×C5—122no—
496C4×C5C2×#21714yes—
497Dic5—24no—
498Dic5—22no—
499Dic5—62no—
500Dic5—121no—
501Dic5—122no—
502C24—51no—
503C24C2×D3×D512yes—
504#41—1032no—
505C2×Q8—54no—
506C2×Q8—102no—
507C2×Q8—102no—
508C2×D4—58no—
509C2×D4—104no—
510C2×D4—104no—
511C2×D4D5×Dic314yes—
512C2×D4#120114yes—
513C2×D4#120214yes—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—32no—
517C22×C4—58no—
518C22×C4—51no—
519C22×C4—52no—
520C22×C4—54no—
521C22×C4—64no—
522C22×C4—64no—
523C22×C4—104no—
524C22×C4—104no—
525C22×C4—102no—
526C22×C4—102no—
527C22×C4—122no—
528C22×C4—151no—
529C22×C4—151no—
530C22×C4—152no—
531C22×C4—304no—
532C22×C4—304no—
533C22×C4—602no—
534C22×C4C2×D3×D511yescharacteristic
535C4⋊C4—62no—
536C4⋊C4—302no—
537C22⋊C4—64no—
538C22⋊C4—302no—
539C22⋊C4—302no—
540C22⋊C4—304no—
541C22⋊C4—602no—
542C42—62no—
543C42—302no—
544C3×C5#233911yescharacteristic, complemented, Hall
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—102no—
552C22×C3—102no—
553C22×C3—102no—
554C22×C3—201no—
555C22×C3—201no—
556C22×C3—201no—
557C22×C3—201no—
558C22×C3C2×#68518yes—
559C22×C3C22×C4×D511yescharacteristic
560C22×C3C22×D2011yescharacteristic
561C22×C3C2×#71111yescharacteristic
562C22×C3#414411yescharacteristic
563C22×C3D5×#4111yescharacteristic
564C22×C3#415011yescharacteristic
565C22×C3C22×C22⋊D511yescharacteristic
566C3×C4—102no—
567C3×C4—104no—
568C3×C4C2×#68514yes—
569Dic3—22no—
570Dic3—42no—
571Dic3—41no—
572Dic3—102no—
573Dic3—202no—
574Dic3—201no—
575C2×C5—28no—
576C2×C5#582411yescharacteristic
577C2×C5#582411yescharacteristic
578C2×C5Dic3×#4111yescharacteristic
579C2×C5#582711yescharacteristic
580C2×C5#582911yescharacteristic
581C2×C5#582911yescharacteristic
582C2×C5C22×#21711yescharacteristic
583D5—42no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—52no—
589C23—101no—
590C23—101no—
591C23—101no—
592C23—101no—
593C23—101no—
594C23—101no—
595C23C2×D5×Dic314yes—
596C23C2×#120114yes—
597C23C2×#120214yes—
598C23C22×D3×D511yescharacteristic
599Q8—108no—
600D4—1016no—
601D4#6665116yescomplemented
602C2×C4—32no—
603C2×C4—52no—
604C2×C4—54no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—62no—
609C2×C4—61no—
610C2×C4—62no—
611C2×C4—61no—
612C2×C4—62no—
613C2×C4—101no—
614C2×C4—102no—
615C2×C4—101no—
616C2×C4—102no—
617C2×C4—1016no—
618C2×C4—108no—
619C2×C4—128no—
620C2×C4—152no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—301no—
625C2×C4—302no—
626C2×C4—302no—
627C2×C4—301no—
628C2×C4—302no—
629C2×C4—608no—
630C2×C4C2×D5×Dic312yes—
631C2×C4C2×#120112yes—
632C2×C4C2×#120212yes—
633C2×C3—28no—
634C2×C3—202no—
635C2×C3C4×#71111yescharacteristic
636C2×C3#6588011yescharacteristic
637C2×C3#6588811yescharacteristic
638C2×C3#6588911yescharacteristic
639C2×C3C22×#68511yescharacteristic
640C2×C3#6614011yescharacteristic
641C2×C3#6615811yescharacteristic
642C5#8408811yescharacteristic, complemented, Sylow
643C22—24no—
644C22—24no—
645C22—24no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—102no—
650C22—102no—
651C22—102no—
652C22—201no—
653C22—201no—
654C22—201no—
655C22—201no—
656C22C2×#666518yes—
657C22#9202011yescharacteristic
658C22D3×#71111yescharacteristic
659C22#9202411yescharacteristic
660C22#9202711yescharacteristic
661C22C22×D5×Dic311yescharacteristic
662C22C22×#120111yescharacteristic
663C22C22×#120211yescharacteristic
664C4—62no—
665C4—102no—
666C4—104no—
667C4—122no—
668C4—121no—
669C4—302no—
670C4—601no—
671C4—602no—
672C4C2×#666514yes—
673C3#1061406111yescharacteristic, complemented, Sylow
674C2—28no—
675C2—202no—
676C2Dic3×#71111yescharacteristic
677C2#1175492311yescharacteristic
678C2#1175496811yescharacteristic
679C2#1175497211yescharacteristic
680C2#1175497711yescharacteristic
681C2#1175498011yescharacteristic
682C2C22×#666511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C3×#711C2
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×D4×Dic15C2semidirect
3. C2×C5×D4×Dic3C2semidirect
4. #11749500C2semidirect
5. #11749495C2semidirect
6. #11749471C2semidirect
7. C2×#90994C2semidirect
8. #11748759C2semidirect
9. C4×#6665C2semidirect
10. #11748610C2semidirect
11. #11748609C2semidirect
20. C2×C3×#711C4semidirect
73. C2×C3×C22⋊D5C2×C4semidirect
76. C22×C3×Dic5C2×C4semidirect
82. C2×C3×C4×D5C2×C4semidirect
85. C2×C3×Dic10C2×C4semidirect
97. C2×D4×Dic3D5semidirect
113. C2×#711Dic3semidirect
150. C3×C5×D4C22⋊C4semidirect
163. C2×Dic15#41semidirect
173. C2×C5×Dic3#41semidirect
226. C2×C22⋊D5C2×Dic3semidirect
235. C22×Dic5C2×Dic3semidirect
241. C2×C4×D5C2×Dic3semidirect
244. C2×Dic10C2×Dic3semidirect
352. C5×D4#217semidirect
440. C3×D4#685semidirect
471. C2×Dic3#711semidirect
544. C3×C5#2339semidirect
601. D4#6665semidirect
642. C5#84088semidirect
673. C3#10614061semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#7112
C2×D4×Dic152
C2×C5×D4×Dic32
#117495002
#117494952
#117494712
C2×#909942
#117487592
C4×#66652
#117486102
#117486092
#106140613
#840885