Finite Group Databasebeta

← D3×#65850 #14479024

Subgroups — D3×#65850 #14479024

Order 1920.

2976 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×D3×Dic10C211yesmaximal, characteristic
2#11756275C211yesmaximal, characteristic, complemented
3C5×D3×#117C211yesmaximal, characteristic
4C3×#65850C211yesmaximal, characteristic, complemented
5D3×#4072C211yesmaximal, characteristic
6#11754213C211yesmaximal, characteristic, complemented
7#11754188C211yesmaximal, characteristic, complemented
8#11753405C214yesmaximal, complemented
9D3×#4033C214yesmaximal, complemented
10#11753187C214yesmaximal, complemented
11D3×#4023C214yesmaximal
12#11752523C214yesmaximal, complemented
13C4×D3×Dic10C214yesmaximal, complemented
14C2×#65850—31nomaximal, Hall
15C22×Dic30C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C22×C3×Dic10C2211yescharacteristic
18C22×#1204C2212yes—
19C22×D3×Dic5C2212yes—
20C2×D3×Dic10C4116yescomplemented
21C2×D3×Dic10C2212yes—
22C2×D3×Dic10C2212yes—
23C2×D3×Dic10C2212yes—
24C2×D3×Dic10C2212yes—
25C3×C5×#117C2211yescharacteristic
26#91815C2211yescharacteristic
27#91776C2214yescomplemented
28#91766C2214yes—
29C4×Dic30C2214yescomplemented
30C5×#926C2211yescharacteristic
31C5×#892C2212yes—
32C5×D3×C4⋊C4C2212yes—
33C5×D3×C22⋊C4C2212yes—
34C5×#877C2212yes—
35C5×#872C2212yes—
36C42×C5×D3C2212yes—
37C3×#4072C2211yescharacteristic
38C3×#4033C2214yescomplemented
39C3×#4023C2214yes—
40C3×C4×Dic10C2214yescomplemented
41D3×C22⋊Dic5C2212yes—
42#91532C2214yes—
43#91529C2212yes—
44#91528C2214yes—
45C4×#1204C2218yescomplemented
46D3×C4⋊Dic5C2212yes—
47#91400C2218yes—
48D3×#683C2218yes—
49#91398C2218yes—
50C4×D3×Dic5C2218yes—
51C4×D3×Dic5C2212yes—
52#91371C2212yes—
53#91340C2214yescomplemented
54#91338C2212yes—
55#91333C2214yescomplemented
56#91331C2214yescomplemented
57Dic3×Dic10C2214yescomplemented
58#91325C2218yescomplemented
59#91324C2218yescomplemented
60#91323C2218yescomplemented
61D3×#519—51nomaximal, Hall
62C23×Dic10—31no—
63C2×C5×#117—31no—
64C2×#4072—31no—
65#65850—31no—
66#65850—34no—
67#65850—34no—
68#65850—34no—
69#65850—31no—
70#65850—31no—
71#65850D311yescharacteristic, direct product factor
72C2×#4033—34no—
73C2×#4023—34no—
74C2×C4×Dic10—34no—
75C23×C5×D3C2311yescharacteristic
76C22×C3×C4×C5C2311yescharacteristic
77C22×Dic15C2312yes—
78C2×Dic30C2×C418yescomplemented
79C2×Dic30C2312yes—
80C2×Dic30C2312yes—
81C22×C5×Dic3C2311yescharacteristic
82C2×C4×C5×D3C2×C418yes—
83C2×C4×C5×D3C2314yes—
84C2×C4×C5×D3C2311yescharacteristic
85C2×C4×C5×D3C2311yescharacteristic
86C2×C4×C5×D3C2311yescharacteristic
87C2×C4×C5×D3C2311yescharacteristic
88C22×C3×Dic5C2312yes—
89C2×C3×Dic10C2×C418yescomplemented
90C2×C3×Dic10C2312yes—
91C2×C3×Dic10C2312yes—
92C2×#1204C2×C4116yescomplemented
93C2×#1204C2314yes—
94C2×#1204C2314yes—
95C2×D3×Dic5C2×C4116yes—
96C2×D3×Dic5C2314yes—
97C2×D3×Dic5C2314yes—
98C2×D3×Dic5C2314yes—
99D3×Dic10C2×C4116yes—
100D3×Dic10C2×C4116yes—
101D3×Dic10C2×C4116yescomplemented
102D3×Dic10C2×C4116yescomplemented
103C3×C5×C4⋊C4C2312yes—
104C3×C5×C22⋊C4C2312yes—
105C3×C42×C5C2312yes—
106#6719C2312yes—
107C4⋊Dic15C2312yes—
108#6712C2318yes—
109C4×Dic15C2318yes—
110C4×Dic15C2312yes—
111C5×#217C2312yes—
112C5×(C2×D3)⋊C4C2314yes—
113C5×C4⋊Dic3C2312yes—
114C5×Dic3⋊C4C2314yes—
115C4×C5×Dic3C2312yes—
116C4×C5×Dic3C2314yes—
117C3×C22⋊Dic5C2312yes—
118C3×C4⋊Dic5C2312yes—
119C3×#683C2318yes—
120C3×C4×Dic5C2318yes—
121C3×C4×Dic5C2312yes—
122Dic3⋊Dic5C2314yes—
123#6669C2318yes—
124#6668C2318yes—
125(C2×D3)⋊Dic5C2314yes—
126Dic3×Dic5C2318yes—
127Dic3×Dic5C2318yes—
128Dic3×Dic5C2314yes—
129C22×D3×Q8—51no—
130C3×#519—51no—
131#5812—51no—
132#5572—54no—
133#5572—54no—
134C4×D3×Q8—54no—
135C4×D3×Q8—54no—
136D3×#117—51no—
137D3×#117—54no—
138D3×#117D511yescharacteristic
139#5516—51no—
140#5516—51no—
141#5516—54no—
142C23×C4×C5—31no—
143C23×Dic5—32no—
144C22×Dic10—31no—
145C22×Dic10—32no—
146C22×Dic10—316no—
147C22×Dic10—32no—
148C22×Dic10—32no—
149C22×Dic10—32no—
150C22×Dic10—32no—
151C22×Dic10C2×D311yescharacteristic
152C5×#117—31no—
153C5×#117—32no—
154C5×#117—32no—
155C5×#117—32no—
156C5×#117C2×D311yescharacteristic
157C2×C5×C4⋊C4—32no—
158C2×C5×C22⋊C4—32no—
159C2×C42×C5—32no—
160C2×C22⋊Dic5—32no—
161#4072—31no—
162#4072—32no—
163#4072—32no—
164#4072—32no—
165#4072C2×D311yescharacteristic
166C2×C4⋊Dic5—32no—
167C2×#683—38no—
168C2×C4×Dic5—38no—
169C2×C4×Dic5—32no—
170#4033—34no—
171#4033—34no—
172#4033—38no—
173#4033—38no—
174#4033—34no—
175#4033C2×D314yescomplemented
176#4023—34no—
177#4023—34no—
178#4023—34no—
179#4023—38no—
180#4023—38no—
181#4023C2×D314yes—
182C4×Dic10—34no—
183C4×Dic10—34no—
184C4×Dic10—34no—
185C4×Dic10—38no—
186C4×Dic10—38no—
187C4×Dic10C2×D314yescomplemented
188C2×#519—151noSylow
189C23×C3×C5C2411yescharacteristic
190C22×C5×D3—24no—
191C22×C5×D3C22×C414yes—
192C22×C5×D3C2411yescharacteristic
193C22×C5×D3C2411yescharacteristic
194C2×C3×C4×C5C22×C414yes—
195C2×C3×C4×C5C2414yes—
196C2×C3×C4×C5C2411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15C22×C418yes—
199C2×Dic15C2414yes—
200C2×Dic15C2414yes—
201Dic30C22×C418yes—
202Dic30C22×C418yes—
203C2×C5×Dic3C22×C414yes—
204C2×C5×Dic3C2414yes—
205C2×C5×Dic3C2411yescharacteristic
206C2×C5×Dic3C2411yescharacteristic
207C4×C5×D3—28no—
208C4×C5×D3C22×C414yes—
209C4×C5×D3C22×C414yes—
210C4×C5×D3C22×C414yes—
211C4×C5×D3C22×C414yes—
212C2×C3×Dic5C22×C418yes—
213C2×C3×Dic5C2414yes—
214C2×C3×Dic5C2414yes—
215C3×Dic10C22×C418yes—
216C3×Dic10C22×C418yes—
217#1204C22×C4116yes—
218#1204C22×C4116yes—
219D3×Dic5—28no—
220D3×Dic5C22×C4116yes—
221D3×Dic5C22×C4116yes—
222C22×C3×Q8—51no—
223C2×D3×Q8—516no—
224C2×D3×Q8—52no—
225C2×D3×Q8—52no—
226C2×D3×Q8—52no—
227C2×D3×Q8—52no—
228C22×C4×D3—52no—
229C22×C4×D3C2×D511yescharacteristic
230C22×Dic6—51no—
231C22×Dic6—52no—
232C3×C4×Q8—54no—
233C3×C4×Q8—54no—
234C3×#117—51no—
235C3×#117—54no—
236C3×#117C2×D511yescharacteristic
237Q8×Dic3—54no—
238Q8×Dic3—54no—
239#926—51no—
240#926—54no—
241#926C2×D511yescharacteristic
242#892—52no—
243#892—58no—
244#892C2×D512yes—
245D3×C4⋊C4—58no—
246D3×C4⋊C4—52no—
247D3×C4⋊C4C2×D512yes—
248#887—54no—
249#887—58no—
250#887—58no—
251#887—54no—
252D3×C22⋊C4—52no—
253D3×C22⋊C4C2×D512yes—
254#877—52no—
255#877—54no—
256#877—54no—
257#877C2×D512yes—
258#872—52no—
259#872—58no—
260#872C2×D512yes—
261C42×D3—58no—
262C42×D3—52no—
263C42×D3C2×D512yes—
264C4×Dic6—54no—
265C4×Dic6—54no—
266C4×Dic6—58no—
267C4×Dic6—58no—
268C24×C5—31no—
269C22×C4×C5—31no—
270C22×C4×C5—38no—
271C22×C4×C5—31no—
272C22×C4×C5—31no—
273C22×C4×C5—31no—
274C22×C4×C5—31no—
275C22×C4×C5—34no—
276C22×C4×C5C22×D311yescharacteristic
277C22×Dic5—32no—
278C22×Dic5—316no—
279C22×Dic5—34no—
280C22×Dic5—34no—
281C22×Dic5—34no—
282C22×Dic5C22×D312yes—
283C2×Dic10—38no—
284C2×Dic10—32no—
285C2×Dic10—32no—
286C2×Dic10—316no—
287C2×Dic10—34no—
288C2×Dic10—34no—
289C2×Dic10—316no—
290C2×Dic10—316no—
291C2×Dic10—316no—
292C2×Dic10—316no—
293C2×Dic10C4×D318yescomplemented
294C2×Dic10C22×D312yes—
295C2×Dic10C22×D312yes—
296C5×C4⋊C4—34no—
297C5×C4⋊C4—32no—
298C5×C4⋊C4C22×D312yes—
299C5×C22⋊C4—32no—
300C5×C22⋊C4—34no—
301C5×C22⋊C4C22×D312yes—
302C42×C5—34no—
303C42×C5—32no—
304C42×C5C22×D312yes—
305C22⋊Dic5—32no—
306C22⋊Dic5—34no—
307C22⋊Dic5C22×D312yes—
308C4⋊Dic5—32no—
309C4⋊Dic5—34no—
310C4⋊Dic5C22×D312yes—
311#683—38no—
312#683—38no—
313#683—38no—
314#683C22×D318yes—
315C4×Dic5—38no—
316C4×Dic5—32no—
317C4×Dic5—38no—
318C4×Dic5—38no—
319C4×Dic5—34no—
320C4×Dic5C22×D318yes—
321C4×Dic5C22×D312yes—
322C23×Q8—151no—
323#519—51no—
324#519—151no—
325#519—154no—
326#519—154no—
327#519—154no—
328#519—151no—
329#519—151no—
330C2×C4×Q8—154no—
331C2×C4×Q8—154no—
332C2×#117—31no—
333C2×#117—154no—
334C2×#117—151no—
335C22×C3×C5—22no—
336C22×C3×C5C23×C412yes—
337C22×C3×C5C2511yescharacteristic
338C2×C5×D3—22no—
339C2×C5×D3—28no—
340C2×C5×D3C23×C412yes—
341C2×C5×D3C23×C412yes—
342C2×C5×D32−1+414yes—
343C3×C4×C5—24no—
344C3×C4×C5C23×C412yes—
345C3×C4×C5C23×C412yes—
346Dic15—24no—
347Dic15C23×C418yes—
348C3×Dic5—24no—
349C3×Dic5C23×C418yes—
350C5×Dic3—24no—
351C5×Dic3C23×C412yes—
352C5×Dic3C23×C412yes—
353C23×D3C22×D511yescharacteristic
354C2×C3×Q8—58no—
355C2×C3×Q8—52no—
356C2×C3×Q8—52no—
357C22×C3×C4—52no—
358C22×C3×C4C22×D511yescharacteristic
359C22×Dic3—52no—
360C22×Dic3C22×D511yescharacteristic
361D3×Q8—516no—
362D3×Q8—516no—
363D3×Q8—516no—
364D3×Q8—516no—
365C2×C4×D3—516no—
366C2×C4×D3—54no—
367C2×C4×D3—54no—
368C2×C4×D3—54no—
369C2×C4×D3C4×D518yes—
370C2×C4×D3C22×D514yes—
371C2×C4×D3C22×D511yescharacteristic
372C2×C4×D3C22×D511yescharacteristic
373C2×C4×D3C22×D511yescharacteristic
374C2×C4×D3C22×D511yescharacteristic
375C2×Dic6—58no—
376C2×Dic6—52no—
377C2×Dic6—52no—
378C2×Dic6—516no—
379C2×Dic6—54no—
380C2×Dic6—54no—
381C3×C4⋊C4—58no—
382C3×C4⋊C4—52no—
383C3×C4⋊C4C22×D512yes—
384C3×C22⋊C4—52no—
385C3×C22⋊C4C22×D512yes—
386C3×C42—58no—
387C3×C42—52no—
388C3×C42C22×D512yes—
389#217—52no—
390#217C22×D512yes—
391(C2×D3)⋊C4—54no—
392(C2×D3)⋊C4C22×D514yes—
393C4⋊Dic3—52no—
394C4⋊Dic3—58no—
395C4⋊Dic3C22×D512yes—
396Dic3⋊C4—58no—
397Dic3⋊C4—58no—
398Dic3⋊C4—54no—
399Dic3⋊C4C22×D514yes—
400C4×Dic3—58no—
401C4×Dic3—52no—
402C4×Dic3—58no—
403C4×Dic3—54no—
404C4×Dic3—58no—
405C4×Dic3C22×D514yes—
406C4×Dic3C22×D512yes—
407C23×C5—31no—
408C23×C5—34no—
409C23×C5—31no—
410C23×C5—64no—
411C23×C5C23×D311yescharacteristic
412C2×C4×C5—34no—
413C2×C4×C5—31no—
414C2×C4×C5—31no—
415C2×C4×C5—34no—
416C2×C4×C5—34no—
417C2×C4×C5—34no—
418C2×C4×C5—34no—
419C2×C4×C5—34no—
420C2×C4×C5—68no—
421C2×C4×C5C2×C4×D314yes—
422C2×C4×C5C23×D314yes—
423C2×C4×C5C23×D311yescharacteristic
424C2×C4×C5C23×D311yescharacteristic
425C2×Dic5—38no—
426C2×Dic5—34no—
427C2×Dic5—316no—
428C2×Dic5—316no—
429C2×Dic5—34no—
430C2×Dic5—68no—
431C2×Dic5C2×C4×D318yes—
432C2×Dic5C23×D314yes—
433C2×Dic5C23×D314yes—
434Dic10—38no—
435Dic10—38no—
436Dic10—316no—
437Dic10—316no—
438Dic10C2×C4×D318yes—
439Dic10C2×C4×D318yes—
440C22×Q8—51no—
441C22×Q8—152no—
442C22×Q8—152no—
443C22×Q8—152no—
444C22×Q8—152no—
445C22×Q8—152no—
446C22×Q8—1516no—
447C22×Q8—151no—
448C23×C4—31no—
449C23×C4—152no—
450C4×Q8—54no—
451C4×Q8—54no—
452C4×Q8—158no—
453C4×Q8—158no—
454C4×Q8—154no—
455C4×Q8—154no—
456C4×Q8—158no—
457C4×Q8—154no—
458C4×Q8—158no—
459C4×Q8—154no—
460C4×Q8—154no—
461C4×Q8—154no—
462#117—31no—
463#117—32no—
464#117—32no—
465#117—32no—
466#117—51no—
467#117—54no—
468#117—158no—
469#117—152no—
470#117—154no—
471#117—158no—
472#117—154no—
473#117—152no—
474#117—152no—
475#117—151no—
476#117—154no—
477#117D3×D511yescharacteristic
478C2×C4⋊C4—32no—
479C2×C4⋊C4—158no—
480C2×C4⋊C4—152no—
481C2×C22⋊C4—32no—
482C2×C22⋊C4—152no—
483C2×C42—32no—
484C2×C42—152no—
485C2×C42—158no—
486C2×C3×C5—22no—
487C2×C3×C5C24×C411yescharacteristic
488C2×C3×C5C2×2−1+412yes—
489C5×D3—22no—
490C5×D3#51914yescomplemented
491C23×C3C23×D511yescharacteristic
492C22×D3—24no—
493C22×D3C2×C4×D514yes—
494C22×D3C23×D511yescharacteristic
495C22×D3C23×D511yescharacteristic
496C3×Q8—58no—
497C3×Q8—58no—
498C2×C3×C4—58no—
499C2×C3×C4—54no—
500C2×C3×C4—54no—
501C2×C3×C4C2×C4×D514yes—
502C2×C3×C4C23×D514yes—
503C2×C3×C4C23×D511yescharacteristic
504C2×C3×C4C23×D511yescharacteristic
505C2×Dic3—58no—
506C2×Dic3—54no—
507C2×Dic3—54no—
508C2×Dic3C2×C4×D514yes—
509C2×Dic3C23×D514yes—
510C2×Dic3C23×D511yescharacteristic
511C2×Dic3C23×D511yescharacteristic
512C4×D3—28no—
513C4×D3—516no—
514C4×D3—516no—
515C4×D3—108no—
516C4×D3C2×C4×D514yes—
517C4×D3C2×C4×D514yes—
518C4×D3C2×C4×D514yes—
519C4×D3C2×C4×D514yes—
520Dic6—58no—
521Dic6—58no—
522Dic6—516no—
523Dic6—516no—
524C22×C5—22no—
525C22×C5—32no—
526C22×C5—34no—
527C22×C5—32no—
528C22×C5—68no—
529C22×C5—62no—
530C22×C5C22×C4×D312yes—
531C22×C5C24×D311yescharacteristic
532C4×C5—24no—
533C4×C5—32no—
534C4×C5—32no—
535C4×C5—64no—
536C4×C5C22×C4×D312yes—
537C4×C5C22×C4×D312yes—
538Dic5—24no—
539Dic5—38no—
540Dic5—64no—
541Dic5C22×C4×D318yes—
542C24—31no—
543C2×Q8—58no—
544C2×Q8—52no—
545C2×Q8—52no—
546C2×Q8—154no—
547C2×Q8—154no—
548C2×Q8—1516no—
549C2×Q8—1516no—
550C2×Q8—1516no—
551C2×Q8—1516no—
552C2×Q8—1516no—
553C2×Q8—158no—
554C2×Q8—152no—
555C2×Q8—152no—
556C22×C4—31no—
557C22×C4—38no—
558C22×C4—31no—
559C22×C4—31no—
560C22×C4—31no—
561C22×C4—31no—
562C22×C4—34no—
563C22×C4—52no—
564C22×C4—154no—
565C22×C4—154no—
566C22×C4—1516no—
567C22×C4—154no—
568C22×C4—152no—
569C22×C4C2×D3×D511yescharacteristic
570C4⋊C4—34no—
571C4⋊C4—32no—
572C4⋊C4—58no—
573C4⋊C4—52no—
574C4⋊C4—158no—
575C4⋊C4—158no—
576C4⋊C4—154no—
577C4⋊C4—158no—
578C4⋊C4—152no—
579C4⋊C4C2×D3×D512yes—
580C22⋊C4—32no—
581C22⋊C4—34no—
582C22⋊C4—52no—
583C22⋊C4—154no—
584C22⋊C4—152no—
585C22⋊C4C2×D3×D512yes—
586C42—34no—
587C42—32no—
588C42—58no—
589C42—52no—
590C42—154no—
591C42—158no—
592C42—158no—
593C42—158no—
594C42—152no—
595C42C2×D3×D512yes—
596C3×C5C2×#51911yescharacteristic, complemented, Hall
597C22×C3—22no—
598C22×C3C22×C4×D512yes—
599C22×C3C24×D511yescharacteristic
600C2×D3—22no—
601C2×D3—28no—
602C2×D3C22×C4×D512yes—
603C2×D3C22×C4×D512yes—
604C2×D3#415014yes—
605C3×C4—24no—
606C3×C4—58no—
607C3×C4—104no—
608C3×C4C22×C4×D512yes—
609C3×C4C22×C4×D512yes—
610Dic3—24no—
611Dic3—58no—
612Dic3—104no—
613Dic3C22×C4×D512yes—
614Dic3C22×C4×D512yes—
615C2×C5—22no—
616C2×C5—34no—
617C2×C5—62no—
618C2×C5C23×C4×D311yescharacteristic
619C2×C5D3×2−1+412yes—
620C23—31no—
621C23—34no—
622C23—31no—
623C23—64no—
624C23C22×D3×D511yescharacteristic
625Q8—58no—
626Q8—58no—
627Q8—1516no—
628Q8—1516no—
629Q8—158no—
630Q8—158no—
631C2×C4—34no—
632C2×C4—31no—
633C2×C4—31no—
634C2×C4—34no—
635C2×C4—34no—
636C2×C4—34no—
637C2×C4—34no—
638C2×C4—34no—
639C2×C4—58no—
640C2×C4—54no—
641C2×C4—54no—
642C2×C4—68no—
643C2×C4—1516no—
644C2×C4—1516no—
645C2×C4—158no—
646C2×C4—154no—
647C2×C4—154no—
648C2×C4—308no—
649C2×C4C4×D3×D514yes—
650C2×C4C22×D3×D514yes—
651C2×C4C22×D3×D511yescharacteristic
652C2×C4C22×D3×D511yescharacteristic
653C2×C3—22no—
654C2×C3C23×C4×D511yescharacteristic
655C2×C3C2×#415012yes—
656D3—22no—
657D3#6585014yesdirect product factor
658C5D3×#51911yescharacteristic, complemented, Sylow
659C22—22no—
660C22—34no—
661C22—32no—
662C22—32no—
663C22—68no—
664C22—62no—
665C22C2×C4×D3×D512yes—
666C22C23×D3×D511yescharacteristic
667C4—24no—
668C4—32no—
669C4—32no—
670C4—58no—
671C4—64no—
672C4—104no—
673C4—158no—
674C4—304no—
675C4C2×C4×D3×D512yes—
676C4C2×C4×D3×D512yes—
677C3C2×#6585011yescharacteristic, complemented, Sylow
678C2—22no—
679C2—34no—
680C2—62no—
681C2C22×C4×D3×D511yescharacteristic
682C2D3×#415012yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC3×C5×#117C22
socle, cosocleC22×C3×C5C25
prime radicalC23×C5×D3C23
hypercenter#117D3×D5
hypocenterC3×C5C2×#519
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
2. #11756275C2semidirect
4. C3×#65850C2semidirect
6. #11754213C2semidirect
7. #11754188C2semidirect
8. #11753405C2semidirect
9. D3×#4033C2semidirect
10. #11753187C2semidirect
12. #11752523C2semidirect
13. C4×D3×Dic10C2semidirect
20. C2×D3×Dic10C4semidirect
27. #91776C22semidirect
29. C4×Dic30C22semidirect
38. C3×#4033C22semidirect
40. C3×C4×Dic10C22semidirect
45. C4×#1204C22semidirect
53. #91340C22semidirect
55. #91333C22semidirect
56. #91331C22semidirect
57. Dic3×Dic10C22semidirect
58. #91325C22semidirect
59. #91324C22semidirect
60. #91323C22semidirect
71. #65850D3direct (N × H)
78. C2×Dic30C2×C4semidirect
89. C2×C3×Dic10C2×C4semidirect
92. C2×#1204C2×C4semidirect
101. D3×Dic10C2×C4semidirect
102. D3×Dic10C2×C4semidirect
175. #4033C2×D3semidirect
187. C4×Dic10C2×D3semidirect
293. C2×Dic10C4×D3semidirect
490. C5×D3#519semidirect
596. C3×C5C2×#519semidirect
657. D3#65850direct (N × H)
658. C5D3×#519semidirect
677. C3C2×#65850semidirect

Maximal subgroups

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

subgroupindex
C22×D3×Dic102
#117562752
C5×D3×#1172
C3×#658502
D3×#40722
#117542132
#117541882
#117534052
D3×#40332
#117531872
D3×#40232
#117525232
C4×D3×Dic102
C2×#658503
D3×#5195