Finite Group Databasebeta

← D3×#65844 #14480586

Subgroups — D3×#65844 #14480586

Order 1920.

3280 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#709C212yesmaximal, complemented
2#11756269C211yesmaximal, characteristic, complemented
3C2×C5×D3×C4⋊C4C211yesmaximal, characteristic, complemented
4C3×#65844C211yesmaximal, characteristic, complemented
5D3×#4076C214yesmaximal, complemented
6#11754605C212yesmaximal, complemented
7#11754357C214yesmaximal, complemented
8D3×#4043C214yesmaximal, complemented
9D3×#4041C214yesmaximal, complemented
10#11753694C214yesmaximal, complemented
11#11753441C214yesmaximal, complemented
12C2×#65844—31nomaximal, Hall
13C2×#6817C2212yescomplemented
14C22×C4×C5×D3C2212yes—
15C22×C4×C5×D3C2211yescharacteristic
16C2×C3×#709C2212yescomplemented
17C2×D3×C22⋊D5C2214yes—
18C2×#6779C2214yescomplemented
19D3×#709—216no—
20C2×D3×D20C2212yes—
21C2×D3×D20C2214yes—
22C2×C4×D3×D5C2214yes—
23C2×#6771C2214yescomplemented
24C2×#6769C2212yescomplemented
25C2×D3×Dic10C2212yes—
26C2×#6765C2212yescomplemented
27C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
28#91819C2214yescomplemented
29#91786C2214yescomplemented
30#91784C2214yescomplemented
31C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
32C2×C5×Dic3⋊C4C2212yescomplemented
33C5×D3×C4⋊C4C2214yes—
34C5×D3×C4⋊C4C2214yescomplemented
35C3×#4076C2214yescomplemented
36C3×#4043C2214yescomplemented
37C3×#4041C2214yescomplemented
38#91569C2218yescomplemented
39D3×#685C2218yes—
40#91465C2214yescomplemented
41#91460C2214yescomplemented
42#91459C2218yescomplemented
43#91456C2214yescomplemented
44#91454C2218yescomplemented
45#91450C2214yescomplemented
46#91429C2218yescomplemented
47D3×C4⋊Dic5C2214yes—
48#91422C2218yescomplemented
49#91409C2218yescomplemented
50#91390C2214yescomplemented
51#91360C2214yescomplemented
52D3×#537—51nomaximal, Hall
53C22×#709—32no—
54C22×C5×C4⋊C4—31no—
55C2×#4076—34no—
56#65844—34no—
57#65844—34no—
58#65844—34no—
59#65844—32no—
60#65844—31no—
61#65844D311yescharacteristic, direct product factor
62C2×#4043—34no—
63C2×#4041—34no—
64C23×C5×D3C2311yescharacteristic
65C22×D3×D5C2314yes—
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C2×#1220C2314yes—
69#6817—28no—
70C2×D60C2312yes—
71C2×D60C2314yes—
72C2×C4×D15C2314yes—
73C2×Dic30C2312yes—
74C22×C5×Dic3C2312yes—
75C22×C5×Dic3C2311yescharacteristic
76C2×C4×C5×D3—44no—
77C2×C4×C5×D3D418yescomplemented
78C2×C4×C5×D3C2314yes—
79C2×C4×C5×D3C2314yes—
80C2×C4×C5×D3C2312yes—
81C2×C4×C5×D3C2312yes—
82C2×C3×C22⋊D5C2314yes—
83C3×#709—28no—
84C2×C3×D20C2312yes—
85C2×C3×D20C2314yes—
86C2×C3×C4×D5C2314yes—
87C2×C3×Dic10C2312yes—
88D3×C22⋊D5—216no—
89C2×#1204C2314yes—
90C2×#1203C2314yes—
91C2×#1202C2314yes—
92C2×#1202C2318yes—
93C2×#1201C2314yes—
94C2×#1200C2314yes—
95C2×D3×Dic5C2314yes—
96#6779—216no—
97C2×D5×Dic3C2314yes—
98D3×D20—28no—
99D3×D20—48no—
100C4×D3×D5—216no—
101#6771—216no—
102#6769—28no—
103D3×Dic10—28no—
104#6765—28no—
105C3×C5×C4⋊C4C2314yes—
106#6714C2318yes—
107C4⋊Dic15C2314yes—
108C5×C4⋊Dic3C2314yes—
109C5×Dic3⋊C4C2318yes—
110C3×#685C2318yes—
111C3×C4⋊Dic5C2314yes—
112Dic3⋊Dic5C2318yes—
113#6667C2318yes—
114#6665C2318yes—
115C2×D3×#41—52no—
116C3×#537—51no—
117#5833—52no—
118#5629—54no—
119D3×C22⋊Q8—54no—
120#5608—54no—
121D3×#121—54no—
122D3×#121—54no—
123#5597—54no—
124#5510—51no—
125C2×D3×C4⋊C4D511yescharacteristic, complemented
126C23×C4×C5—31no—
127C23×C4×C5—32no—
128C22×C22⋊D5—34no—
129C2×#709—32no—
130C2×#709—34no—
131C2×#709—32no—
132C2×#709—34no—
133C2×#709—32no—
134C2×#709—616no—
135C2×#709C2×D312yescomplemented
136C22×D20—32no—
137C22×D20—34no—
138C22×C4×D5—34no—
139C22×Dic10—32no—
140C2×C5×C4⋊C4—32no—
141C2×C5×C4⋊C4—31no—
142C2×C5×C4⋊C4—34no—
143C2×C5×C4⋊C4—34no—
144C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
145#4076—34no—
146#4076—38no—
147#4076—34no—
148#4076—38no—
149#4076—34no—
150#4076C2×D314yescomplemented
151C2×#685—38no—
152C2×C4⋊Dic5—34no—
153#4043—34no—
154#4043—34no—
155#4043—34no—
156#4043—38no—
157#4043—38no—
158#4043C2×D314yescomplemented
159#4041—38no—
160#4041—34no—
161#4041—34no—
162#4041—34no—
163#4041—38no—
164#4041C2×D314yescomplemented
165C2×#537—151noSylow
166C23×C3×C5C2411yescharacteristic
167C22×D15C2414yes—
168C22×C5×D3—22no—
169C22×C5×D3—22no—
170C22×C5×D3C2×D414yes—
171C22×C5×D3C2411yescharacteristic
172C22×C5×D3C2411yescharacteristic
173C22×C3×D5C2414yes—
174C2×D3×D5—28no—
175C2×D3×D5—28no—
176C2×D3×D5—28no—
177C2×C3×C4×C5—42no—
178C2×C3×C4×C5C2×D414yescomplemented
179C2×C3×C4×C5C2414yes—
180C2×C3×C4×C5C2412yes—
181#1220—28no—
182C2×Dic15C2414yes—
183D60—24no—
184D60—44no—
185C4×D15—28no—
186Dic30—24no—
187C2×C5×Dic3—42no—
188C2×C5×Dic3C2×D414yescomplemented
189C2×C5×Dic3C2414yes—
190C2×C5×Dic3C2412yes—
191C4×C5×D3—28no—
192C4×C5×D3—44no—
193C4×C5×D3C2×D418yes—
194C4×C5×D3C2×D418yescomplemented
195C3×C22⋊D5—28no—
196C2×C3×Dic5C2414yes—
197C3×D20—24no—
198C3×D20—44no—
199C3×C4×D5—28no—
200C3×Dic10—24no—
201#1204—28no—
202#1203—28no—
203#1202—28no—
204#1202—48no—
205#1201—28no—
206#1200—28no—
207D3×Dic5—28no—
208D5×Dic3—28no—
209C2×C3×#41—52no—
210D3×#41—1016no—
211C2×#239—52no—
212C2×D3×Q8—52no—
213C2×#237—54no—
214C2×#237—52no—
215C2×D3×D4—54no—
216C2×D3×D4—52no—
217C2×D3×D4—54no—
218C2×#235—52no—
219C2×#235—54no—
220C22×C4×D3—54no—
221C22×C4×D3C2×D512yes—
222C22×C4×D3C2×D511yescharacteristic
223C3×C22⋊Q8—54no—
224C3×#121—54no—
225C3×#121—54no—
226C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
227#946—54no—
228#939—58no—
229#939—58no—
230#938—54no—
231#938—54no—
232#930—54no—
233#930—54no—
234C2×C4⋊Dic3C2×D511yescharacteristic, complemented
235#924—54no—
236C2×Dic3⋊C4C2×D512yescomplemented
237#897—54no—
238#896—58no—
239#895—54no—
240#895—54no—
241D3×C4⋊C4—54no—
242D3×C4⋊C4C2×D514yes—
243D3×C4⋊C4C2×D514yescomplemented
244#884—58no—
245#884—58no—
246D3×C22⋊C4—58no—
247#878—58no—
248C24×C5—31no—
249C23×D5—34no—
250C22×C4×C5—31no—
251C22×C4×C5—38no—
252C22×C4×C5—32no—
253C22×C4×C5—32no—
254C22×C4×C5—32no—
255C22×C4×C5—34no—
256C22×C4×C5—34no—
257C22×C4×C5—124no—
258C22×C4×C5C22×D312yes—
259C22×C4×C5C22×D311yescharacteristic
260C2×C22⋊D5—34no—
261C2×C22⋊D5—34no—
262C2×C22⋊D5—34no—
263C2×C22⋊D5—616no—
264C2×C22⋊D5C22×D314yes—
265C22×Dic5—34no—
266#709—28no—
267#709—68no—
268#709—616no—
269#709—68no—
270#709—616no—
271#709—68no—
272C2×D20—34no—
273C2×D20—32no—
274C2×D20—38no—
275C2×D20—34no—
276C2×D20—68no—
277C2×D20—128no—
278C2×D20C22×D312yes—
279C2×D20C22×D314yes—
280C2×C4×D5—34no—
281C2×C4×D5—34no—
282C2×C4×D5—34no—
283C2×C4×D5—616no—
284C2×C4×D5C22×D314yes—
285C2×Dic10—32no—
286C2×Dic10—34no—
287C2×Dic10—68no—
288C2×Dic10C22×D312yes—
289C5×C4⋊C4—38no—
290C5×C4⋊C4—34no—
291C5×C4⋊C4C22×D314yes—
292#685—38no—
293#685—38no—
294#685—38no—
295#685C22×D318yes—
296C4⋊Dic5—34no—
297C4⋊Dic5—38no—
298C4⋊Dic5C22×D314yes—
299C22×#41—152no—
300#537—51no—
301#537—154no—
302#537—154no—
303#537—154no—
304#537—152no—
305#537—151no—
306C2×C22⋊Q8—154no—
307C2×#121—154no—
308C2×#121—154no—
309C22×C4⋊C4—31no—
310C22×C3×C5—21no—
311C22×C3×C5—21no—
312C22×C3×C5C22×D412yes—
313C22×C3×C5C2511yescharacteristic
314C2×D15—24no—
315C2×D15—24no—
316C2×D15—24no—
317C2×C5×D3—21no—
318C2×C5×D3—21no—
319C2×C5×D3—28no—
320C2×C5×D3C22×D412yes—
321C2×C5×D3C22×D412yes—
322C2×C5×D3H(5,𝔽2)12yes—
323C2×C5×D32−1+412yes—
324C2×C3×D5—24no—
325C2×C3×D5—24no—
326C2×C3×D5—24no—
327D3×D5—416no—
328C3×C4×C5—24no—
329C3×C4×C5C22×D414yes—
330Dic15—24no—
331C3×Dic5—24no—
332C5×Dic3—24no—
333C5×Dic3C22×D414yes—
334C23×D3—54no—
335C23×D3C22×D511yescharacteristic
336C3×#41—108no—
337C2×C3×Q8—52no—
338C2×C3×D4—54no—
339C2×C3×D4—52no—
340C2×C3×D4—54no—
341C22×C3×C4—54no—
342C22×C3×C4C22×D512yes—
343C22×C3×C4C22×D511yescharacteristic
344C2×#67—54no—
345C2×#67—54no—
346C2×#67—54no—
347C2×#67—58no—
348C22×Dic3—54no—
349C22×Dic3C22×D512yes—
350C22×Dic3C22×D511yescharacteristic
351#239—108no—
352D3×Q8—108no—
353#237—1016no—
354#237—108no—
355D3×D4—1016no—
356D3×D4—108no—
357D3×D4—208no—
358#235—108no—
359#235—1016no—
360C2×D12—54no—
361C2×D12—52no—
362C2×D12—54no—
363C2×C4×D3—44no—
364C2×C4×D3—54no—
365C2×C4×D3—54no—
366C2×C4×D3—54no—
367C2×C4×D3—1016no—
368C2×C4×D3D2018yescomplemented
369C2×C4×D3C22×D514yes—
370C2×C4×D3C22×D514yes—
371C2×C4×D3C22×D512yes—
372C2×C4×D3C22×D512yes—
373C2×Dic6—52no—
374C2×Dic6—54no—
375C3×C4⋊C4—54no—
376C3×C4⋊C4C22×D514yes—
377C3×C22⋊C4—58no—
378#217—58no—
379(C2×D3)⋊C4—58no—
380(C2×D3)⋊C4—58no—
381C4⋊Dic3—54no—
382C4⋊Dic3C22×D514yes—
383Dic3⋊C4—58no—
384Dic3⋊C4C22×D518yes—
385C23×C5—31no—
386C23×C5—34no—
387C23×C5—31no—
388C23×C5—62no—
389C23×C5—62no—
390C23×C5C23×D311yescharacteristic
391C22×D5—34no—
392C22×D5—68no—
393C22×D5—68no—
394C22×D5—68no—
395C22×D5C23×D314yes—
396C2×C4×C5—34no—
397C2×C4×C5—32no—
398C2×C4×C5—38no—
399C2×C4×C5—38no—
400C2×C4×C5—34no—
401C2×C4×C5—42no—
402C2×C4×C5—68no—
403C2×C4×C5—124no—
404C2×C4×C5—122no—
405C2×C4×C5D3×D414yescomplemented
406C2×C4×C5C23×D314yes—
407C2×C4×C5C23×D312yes—
408C22⋊D5—28no—
409C22⋊D5—68no—
410C22⋊D5—68no—
411C22⋊D5—68no—
412C2×Dic5—34no—
413C2×Dic5—68no—
414C2×Dic5C23×D314yes—
415D20—24no—
416D20—44no—
417D20—68no—
418D20—64no—
419D20—124no—
420D20—128no—
421C4×D5—28no—
422C4×D5—68no—
423C4×D5—68no—
424C4×D5—68no—
425Dic10—24no—
426Dic10—68no—
427Dic10—64no—
428C2×#41—52no—
429C2×#41—154no—
430C2×#41—154no—
431C2×#41—152no—
432C2×#41—152no—
433C2×#41—152no—
434C2×#41—3016no—
435C22×Q8—152no—
436C22×D4—152no—
437C22×D4—154no—
438C22×D4—154no—
439C23×C4—31no—
440C23×C4—32no—
441C23×C4—154no—
442C22⋊Q8—54no—
443C22⋊Q8—158no—
444C22⋊Q8—158no—
445C22⋊Q8—154no—
446C22⋊Q8—154no—
447C22⋊Q8—154no—
448#121—54no—
449#121—54no—
450#121—158no—
451#121—158no—
452#121—154no—
453#121—154no—
454#121—158no—
455#121—154no—
456#121—154no—
457#121—158no—
458#121—154no—
459#121—154no—
460C2×C4⋊C4—32no—
461C2×C4⋊C4—31no—
462C2×C4⋊C4—34no—
463C2×C4⋊C4—34no—
464C2×C4⋊C4—154no—
465C2×C4⋊C4D3×D511yescharacteristic, complemented
466C2×C22⋊C4—158no—
467C2×C3×C5—22no—
468C2×C3×C5C23×D411yescharacteristic
469C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
470C2×C3×C5C2×2−1+411yescharacteristic
471D15—44no—
472C3×D5—44no—
473C5×D3—22no—
474C5×D3#53714yescomplemented
475C23×C3—54no—
476C23×C3C23×D511yescharacteristic
477C22×D3—22no—
478C22×D3—22no—
479C22×D3—54no—
480C22×D3—108no—
481C22×D3—108no—
482C22×D3—108no—
483C22×D3C2×D2014yes—
484C22×D3C23×D511yescharacteristic
485C22×D3C23×D511yescharacteristic
486C3×Q8—104no—
487C3×D4—108no—
488C3×D4—104no—
489C3×D4—204no—
490C2×C3×C4—42no—
491C2×C3×C4—54no—
492C2×C3×C4—108no—
493C2×C3×C4C2×D2014yescomplemented
494C2×C3×C4C23×D514yes—
495C2×C3×C4C23×D512yes—
496#67—108no—
497#67—108no—
498#67—108no—
499#67—208no—
500C2×Dic3—42no—
501C2×Dic3—54no—
502C2×Dic3—108no—
503C2×Dic3C2×D2014yescomplemented
504C2×Dic3C23×D514yes—
505C2×Dic3C23×D512yes—
506D12—108no—
507D12—104no—
508D12—204no—
509C4×D3—28no—
510C4×D3—44no—
511C4×D3—108no—
512C4×D3—108no—
513C4×D3—108no—
514C4×D3C2×D2018yes—
515C4×D3C2×D2018yescomplemented
516Dic6—104no—
517Dic6—108no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5—32no—
521C22×C5—32no—
522C22×C5—32no—
523C22×C5—32no—
524C22×C5—68no—
525C22×C5—61no—
526C22×C5—61no—
527C22×C5C2×D3×D412yes—
528C22×C5C24×D311yescharacteristic
529C2×D5—24no—
530C2×D5—24no—
531C2×D5—24no—
532C2×D5—64no—
533C2×D5—64no—
534C2×D5—64no—
535C2×D5—1216no—
536C4×C5—24no—
537C4×C5—34no—
538C4×C5—64no—
539C4×C5C2×D3×D414yes—
540Dic5—24no—
541Dic5—64no—
542C24—31no—
543C24—154no—
544#41—108no—
545#41—3016no—
546#41—3016no—
547#41—308no—
548#41—308no—
549#41—308no—
550C2×Q8—52no—
551C2×Q8—154no—
552C2×Q8—152no—
553C2×Q8—308no—
554C2×D4—54no—
555C2×D4—52no—
556C2×D4—54no—
557C2×D4—154no—
558C2×D4—158no—
559C2×D4—154no—
560C2×D4—154no—
561C2×D4—154no—
562C2×D4—152no—
563C2×D4—154no—
564C2×D4—308no—
565C2×D4—3016no—
566C2×D4—608no—
567C22×C4—31no—
568C22×C4—38no—
569C22×C4—32no—
570C22×C4—32no—
571C22×C4—32no—
572C22×C4—34no—
573C22×C4—34no—
574C22×C4—54no—
575C22×C4—124no—
576C22×C4—154no—
577C22×C4—154no—
578C22×C4—154no—
579C22×C4—154no—
580C22×C4—3016no—
581C22×C4C2×D3×D512yes—
582C22×C4C2×D3×D511yescharacteristic
583C4⋊C4—38no—
584C4⋊C4—34no—
585C4⋊C4—54no—
586C4⋊C4—158no—
587C4⋊C4—154no—
588C4⋊C4C2×D3×D514yes—
589C22⋊C4—58no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4—158no—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—104no—
597C22×C3—104no—
598C22×C3—104no—
599C22×C3C22×D2012yes—
600C22×C3C24×D511yescharacteristic
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—28no—
604C2×D3—104no—
605C2×D3—104no—
606C2×D3—104no—
607C2×D3—2016no—
608C2×D3C22×D2012yes—
609C2×D3C22×D2012yes—
610C2×D3#414412yes—
611C2×D3#414712yes—
612C3×C4—24no—
613C3×C4—104no—
614C3×C4C22×D2014yes—
615Dic3—24no—
616Dic3—104no—
617Dic3C22×D2014yes—
618C2×C5—22no—
619C2×C5—34no—
620C2×C5—62no—
621C2×C5C22×D3×D411yescharacteristic
622C2×C5D3×H(5,𝔽2)11yescharacteristic
623C2×C5D3×2−1+411yescharacteristic
624D5—44no—
625D5—124no—
626C23—31no—
627C23—34no—
628C23—31no—
629C23—54no—
630C23—62no—
631C23—62no—
632C23—154no—
633C23—308no—
634C23—308no—
635C23—308no—
636C23C22×D3×D511yescharacteristic
637Q8—104no—
638Q8—308no—
639Q8—304no—
640D4—108no—
641D4—104no—
642D4—204no—
643D4—308no—
644D4—308no—
645D4—308no—
646D4—308no—
647D4—304no—
648D4—604no—
649D4—608no—
650C2×C4—34no—
651C2×C4—32no—
652C2×C4—38no—
653C2×C4—38no—
654C2×C4—34no—
655C2×C4—42no—
656C2×C4—54no—
657C2×C4—68no—
658C2×C4—108no—
659C2×C4—124no—
660C2×C4—122no—
661C2×C4—154no—
662C2×C4—308no—
663C2×C4—308no—
664C2×C4—308no—
665C2×C4—308no—
666C2×C4D3×D2014yescomplemented
667C2×C4C22×D3×D514yes—
668C2×C4C22×D3×D512yes—
669C2×C3—22no—
670C2×C3—204no—
671C2×C3C23×D2011yescharacteristic
672C2×C3C2×#414411yescharacteristic
673C2×C3C2×#414711yescharacteristic
674D3—22no—
675D3—204no—
676D3#6584414yesdirect product factor
677C5D3×#53711yescharacteristic, complemented, Sylow
678C22—21no—
679C22—21no—
680C22—32no—
681C22—32no—
682C22—32no—
683C22—32no—
684C22—68no—
685C22—61no—
686C22—61no—
687C22—104no—
688C22—104no—
689C22—104no—
690C22—304no—
691C22—304no—
692C22—304no—
693C22—6016no—
694C22C2×D3×D2012yes—
695C22C23×D3×D511yescharacteristic
696C4—24no—
697C4—34no—
698C4—64no—
699C4—104no—
700C4—304no—
701C4C2×D3×D2014yes—
702C3C2×#6584411yescharacteristic, complemented, Sylow
703C2—22no—
704C2—34no—
705C2—62no—
706C2—204no—
707C2—604no—
708C2C22×D3×D2011yescharacteristic
709C2D3×#414411yescharacteristic
710C2D3×#414711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC2×C3×C5×C4⋊C4C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×D3×#709C2semidirect
2. #11756269C2semidirect
3. C2×C5×D3×C4⋊C4C2semidirect
4. C3×#65844C2semidirect
5. D3×#4076C2semidirect
6. #11754605C2semidirect
7. #11754357C2semidirect
8. D3×#4043C2semidirect
9. D3×#4041C2semidirect
10. #11753694C2semidirect
11. #11753441C2semidirect
13. C2×#6817C22semidirect
16. C2×C3×#709C22semidirect
18. C2×#6779C22semidirect
23. C2×#6771C22semidirect
24. C2×#6769C22semidirect
26. C2×#6765C22semidirect
27. C2×C3×C5×C4⋊C4C22semidirect
28. #91819C22semidirect
29. #91786C22semidirect
30. #91784C22semidirect
31. C2×C5×C4⋊Dic3C22semidirect
32. C2×C5×Dic3⋊C4C22semidirect
34. C5×D3×C4⋊C4C22semidirect
35. C3×#4076C22semidirect
36. C3×#4043C22semidirect
37. C3×#4041C22semidirect
38. #91569C22semidirect
40. #91465C22semidirect
41. #91460C22semidirect
42. #91459C22semidirect
43. #91456C22semidirect
44. #91454C22semidirect
45. #91450C22semidirect
46. #91429C22semidirect
48. #91422C22semidirect
49. #91409C22semidirect
50. #91390C22semidirect
51. #91360C22semidirect
61. #65844D3direct (N × H)
77. C2×C4×C5×D3D4semidirect
125. C2×D3×C4⋊C4D5semidirect
135. C2×#709C2×D3semidirect
144. C2×C5×C4⋊C4C2×D3semidirect
150. #4076C2×D3semidirect
158. #4043C2×D3semidirect
164. #4041C2×D3semidirect
178. C2×C3×C4×C5C2×D4semidirect
188. C2×C5×Dic3C2×D4semidirect
194. C4×C5×D3C2×D4semidirect
226. C2×C3×C4⋊C4C2×D5semidirect
234. C2×C4⋊Dic3C2×D5semidirect
236. C2×Dic3⋊C4C2×D5semidirect
243. D3×C4⋊C4C2×D5semidirect
368. C2×C4×D3D20semidirect
405. C2×C4×C5D3×D4semidirect
465. C2×C4⋊C4D3×D5semidirect
474. C5×D3#537semidirect
493. C2×C3×C4C2×D20semidirect
503. C2×Dic3C2×D20semidirect
515. C4×D3C2×D20semidirect
593. C3×C5C2×#537semidirect
666. C2×C4D3×D20semidirect
676. D3#65844direct (N × H)
677. C5D3×#537semidirect
702. C3C2×#65844semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#7092
#117562692
C2×C5×D3×C4⋊C42
C3×#658442
D3×#40762
#117546052
#117543572
D3×#40432
D3×#40412
#117536942
#117534412
C2×#658443
D3×#5375