Finite Group Databasebeta

← D3×#66006 #14495394

Subgroups — D3×#66006 #14495394

Order 1920.

2048 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756431C211yesmaximal, characteristic, complemented
2C5×D3×#124C211yesmaximal, characteristic
3C3×#66006C211yesmaximal, characteristic, complemented
4#11755216C212yesmaximal, complemented
5D3×#4090C212yesmaximal, complemented
6#11755016C212yesmaximal, complemented
7D3×#4081C212yesmaximal
8#11753064C214yesmaximal, complemented
9#11753051C214yesmaximal, complemented
10D3×#4025C214yesmaximal, complemented
11D3×#4024C214yesmaximal, complemented
12#11752653C212yesmaximal, complemented
13D3×#4016C212yesmaximal, complemented
14C2×#66006—31nomaximal, Hall
15C2×C5×D3×Q8C2211yescharacteristic
16C2×C5×D3×D4C2211yescharacteristic
17C22×D3×Dic5C2212yes—
18C2×D3×Dic10C2212yes—
19C3×C5×#124C2211yescharacteristic
20#91833C2212yescomplemented
21#91824C2212yes—
22#91768C2214yescomplemented
23#91767C2214yescomplemented
24#91759C2212yescomplemented
25C5×#947C2211yescharacteristic
26C5×#936C2211yescharacteristic
27C5×#885C2214yes—
28C5×D3×C22⋊C4C2214yes—
29C5×#875C2211yescharacteristic
30C42×C5×D3C2211yescharacteristic
31C3×#4090C2212yescomplemented
32C3×#4081C2212yes—
33C3×#4025C2214yescomplemented
34C3×#4024C2214yescomplemented
35C3×#4016C2212yescomplemented
36#91576C2214yescomplemented
37#91574C2214yescomplemented
38#91555C2214yes—
39D3×C22⋊Dic5C2212yes—
40D3×C22⋊Dic5C2214yes—
41#91543C2212yes—
42#91539C2212yes—
43#91531C2214yescomplemented
44#91530C2214yescomplemented
45#91436C2214yescomplemented
46#91432C2214yescomplemented
47D3×C4⋊Dic5C2212yes—
48D3×C4⋊Dic5C2212yes—
49#91423C2214yes—
50#91417C2214yescomplemented
51#91410C2214yescomplemented
52D3×#683C2214yes—
53D3×#683C2214yes—
54D3×#683C2214yes—
55C4×D3×Dic5C2212yes—
56#91385C2212yescomplemented
57#91381C2212yescomplemented
58#91381C2212yescomplemented
59#91379C2214yescomplemented
60#91379C2214yescomplemented
61#91376C2212yescomplemented
62#91372C2214yescomplemented
63#91367C2214yescomplemented
64#91342C2214yescomplemented
65#91341C2214yescomplemented
66#91329C2214yescomplemented
67#91329C2214yescomplemented
68D3×#563—51nomaximal, Hall
69C2×C5×#124—31no—
70C2×#4090—32no—
71C2×#4081—32no—
72#66006—32no—
73#66006—32no—
74#66006—34no—
75#66006—34no—
76#66006—32no—
77#66006—31no—
78#66006D311yescharacteristic, direct product factor
79C2×#4025—34no—
80C2×#4024—34no—
81C2×#4016—32no—
82C23×C5×D3C2312yes—
83C2×C3×C5×Q8C2311yescharacteristic
84C2×C3×C5×D4C2311yescharacteristic
85C22×Dic15C2312yes—
86C2×Dic30C2312yes—
87C2×C5×#67C2312yes—
88C5×D3×Q8—42no—
89C5×D3×D4—42no—
90C2×C5×D12C2311yescharacteristic
91C2×C4×C5×D3C2312yes—
92C2×C4×C5×D3C2311yescharacteristic
93C2×C4×C5×D3C2312yes—
94C2×C5×Dic6C2311yescharacteristic
95C2×C5×Dic6C2312yes—
96C22×C3×Dic5C2312yes—
97C2×C3×Dic10C2312yes—
98C2×#1204C2314yes—
99C2×D3×Dic5—44no—
100C2×D3×Dic5C2314yes—
101C2×D3×Dic5C2314yes—
102C2×D3×Dic5C2314yes—
103D3×Dic10—44no—
104C3×C5×C22⋊C4C2314yes—
105C3×C42×C5C2311yescharacteristic
106#6719C2314yes—
107#6719C2312yes—
108C4⋊Dic15C2312yes—
109C4⋊Dic15C2312yes—
110#6712C2314yes—
111#6712C2314yes—
112#6712C2314yes—
113C4×Dic15C2312yes—
114C5×#217C2314yes—
115C5×(C2×D3)⋊C4C2314yes—
116C5×(C2×D3)⋊C4C2314yes—
117C4×C5×Dic3C2312yes—
118C4×C5×Dic3C2311yescharacteristic
119C3×C22⋊Dic5C2314yes—
120C3×C22⋊Dic5C2312yes—
121C3×C4⋊Dic5C2312yes—
122C3×C4⋊Dic5C2312yes—
123C3×#683C2314yes—
124C3×#683C2314yes—
125C3×#683C2314yes—
126C3×C4×Dic5C2312yes—
127Dic3⋊Dic5C2314yes—
128Dic3⋊Dic5C2314yes—
129#6669C2314yes—
130#6669C2314yes—
131#6669C2314yes—
132#6668C2314yes—
133#6668C2314yes—
134#6668C2314yes—
135(C2×D3)⋊Dic5C2314yes—
136(C2×D3)⋊Dic5C2314yes—
137(C2×D3)⋊Dic5C2314yes—
138Dic3×Dic5C2314yes—
139C3×#563—51no—
140#5735—52no—
141D3×C4⋊Q8—52no—
142#5712—54no—
143D3×#126—54no—
144#5699—52no—
145D3×#125—52no—
146D3×#124D511yescharacteristic
147#5672—51no—
148D3×#123—52no—
149#5651—52no—
150#5646—54no—
151D3×C22⋊Q8—54no—
152C22×C5×Q8—31no—
153C22×C5×D4—31no—
154C23×Dic5—32no—
155C22×Dic10—32no—
156C5×#124—31no—
157C5×#124—31no—
158C5×#124—34no—
159C5×#124—31no—
160C5×#124C2×D311yescharacteristic
161C2×C5×C22⋊C4—34no—
162C2×C42×C5—31no—
163C2×C22⋊Dic5—34no—
164C2×C22⋊Dic5—32no—
165#4090—32no—
166#4090—32no—
167#4090—34no—
168#4090—34no—
169#4090—32no—
170#4090C2×D312yescomplemented
171#4081—32no—
172#4081—32no—
173#4081—32no—
174#4081—34no—
175#4081—34no—
176#4081C2×D312yes—
177C2×C4⋊Dic5—32no—
178C2×C4⋊Dic5—32no—
179C2×#683—34no—
180C2×#683—34no—
181C2×#683—34no—
182C2×C4×Dic5—32no—
183#4025—34no—
184#4025—34no—
185#4025—34no—
186#4025—34no—
187#4025—34no—
188#4025—34no—
189#4025—34no—
190#4025C2×D314yescomplemented
191#4024—34no—
192#4024—34no—
193#4024—34no—
194#4024—34no—
195#4024—34no—
196#4024—34no—
197#4024—34no—
198#4024C2×D314yescomplemented
199#4016—32no—
200#4016—32no—
201#4016—32no—
202#4016—34no—
203#4016—34no—
204#4016C2×D312yescomplemented
205C2×#563—151noSylow
206C23×C3×C5C2412yes—
207C22×C5×D3—24no—
208C22×C5×D3—28no—
209C22×C5×D3C2412yes—
210C22×C5×D3C2411yescharacteristic
211C3×C5×Q8—41no—
212C3×C5×D4—41no—
213C2×C3×C4×C5C2412yes—
214C2×C3×C4×C5C2411yescharacteristic
215C2×C3×C4×C5C2412yes—
216C2×Dic15—42no—
217C2×Dic15C2414yes—
218C2×Dic15C2414yes—
219Dic30—42no—
220C5×#67—42no—
221C2×C5×Dic3C2412yes—
222C2×C5×Dic3C2411yescharacteristic
223C2×C5×Dic3C2412yes—
224C5×D12—41no—
225C4×C5×D3—24no—
226C4×C5×D3—22no—
227C4×C5×D3—24no—
228C5×Dic6—41no—
229C5×Dic6—42no—
230C2×C3×Dic5—42no—
231C2×C3×Dic5C2414yes—
232C2×C3×Dic5C2414yes—
233C3×Dic10—42no—
234#1204—44no—
235D3×Dic5—28no—
236D3×Dic5—28no—
237D3×Dic5—44no—
238C2×D3×Q8—52no—
239C2×D3×Q8C2×D511yescharacteristic
240C2×D3×D4C2×D511yescharacteristic
241C22×C4×D3—52no—
242C3×C4⋊Q8—52no—
243C3×#126—54no—
244C3×#125—52no—
245C3×#124C2×D511yescharacteristic
246C3×#123—52no—
247C3×C22⋊Q8—54no—
248#947C2×D511yescharacteristic
249#946—54no—
250#944—52no—
251#944—52no—
252#936C2×D511yescharacteristic
253#935—52no—
254#929—52no—
255#924—54no—
256#898—54no—
257#898—54no—
258#898—54no—
259#897—54no—
260#896—54no—
261#896—54no—
262#894—54no—
263D3×C4⋊C4—54no—
264D3×C4⋊C4—54no—
265D3×C4⋊C4—54no—
266D3×C4⋊C4—52no—
267D3×C4⋊C4—52no—
268#890—52no—
269#890—52no—
270#889—54no—
271#889—54no—
272#888—54no—
273#888—54no—
274#886—52no—
275#885C2×D514yes—
276#883—54no—
277D3×C22⋊C4—52no—
278D3×C22⋊C4—54no—
279D3×C22⋊C4C2×D514yes—
280#879—54no—
281#879—54no—
282#879—54no—
283#878—54no—
284#878—54no—
285#876—54no—
286#875C2×D511yescharacteristic
287C42×D3—52no—
288C42×D3C2×D511yescharacteristic
289#870—52no—
290#869—52no—
291C24×C5—32no—
292C2×C5×Q8—31no—
293C2×C5×Q8—32no—
294C2×C5×Q8—122no—
295C2×C5×Q8C22×D311yescharacteristic
296C2×C5×D4—32no—
297C2×C5×D4—31no—
298C2×C5×D4—122no—
299C2×C5×D4C22×D311yescharacteristic
300C22×C4×C5—32no—
301C22×C4×C5—31no—
302C22×C4×C5—32no—
303C22×Dic5—32no—
304C22×Dic5—34no—
305C22×Dic5—34no—
306C22×Dic5—34no—
307C22×Dic5—124no—
308C22×Dic5C22×D312yes—
309C2×Dic10—32no—
310C2×Dic10—34no—
311C2×Dic10—124no—
312C2×Dic10C22×D312yes—
313C5×C22⋊C4—34no—
314C5×C22⋊C4—34no—
315C5×C22⋊C4—34no—
316C5×C22⋊C4C22×D314yes—
317C42×C5—32no—
318C42×C5—31no—
319C42×C5C22×D311yescharacteristic
320C22⋊Dic5—34no—
321C22⋊Dic5—32no—
322C22⋊Dic5—34no—
323C22⋊Dic5—34no—
324C22⋊Dic5—34no—
325C22⋊Dic5C22×D314yes—
326C22⋊Dic5C22×D312yes—
327C4⋊Dic5—32no—
328C4⋊Dic5—32no—
329C4⋊Dic5—34no—
330C4⋊Dic5—34no—
331C4⋊Dic5C22×D312yes—
332C4⋊Dic5C22×D312yes—
333#683—34no—
334#683—34no—
335#683—34no—
336#683—34no—
337#683—34no—
338#683—34no—
339#683—34no—
340#683—34no—
341#683—34no—
342#683C22×D314yes—
343#683C22×D314yes—
344#683C22×D314yes—
345C4×Dic5—32no—
346C4×Dic5—34no—
347C4×Dic5C22×D312yes—
348#563—51no—
349#563—154no—
350#563—152no—
351#563—152no—
352#563—154no—
353#563—152no—
354#563—151no—
355C2×C4⋊Q8—152no—
356C2×#126—154no—
357C2×#125—152no—
358C2×#124—31no—
359C2×#123—152no—
360C2×C22⋊Q8—154no—
361C22×C3×C5—22no—
362C22×C3×C5—24no—
363C22×C3×C5C2511yescharacteristic
364C2×C5×D3—22no—
365C2×C5×D3—24no—
366C2×C5×D3—48no—
367C2×C5×D3H(5,𝔽2)12yes—
368C2×C5×D32−1+414yes—
369C3×C4×C5—22no—
370C3×C4×C5—21no—
371C3×C4×C5—22no—
372Dic15—24no—
373Dic15—24no—
374C3×Dic5—24no—
375C3×Dic5—24no—
376C5×Dic3—22no—
377C5×Dic3—21no—
378C5×Dic3—22no—
379C23×D3C22×D512yes—
380C2×C3×Q8—52no—
381C2×C3×Q8C22×D511yescharacteristic
382C2×C3×D4C22×D511yescharacteristic
383C22×C3×C4—52no—
384C2×#67C22×D512yes—
385C22×Dic3—52no—
386D3×Q8—42no—
387D3×Q8—204no—
388D3×D4—42no—
389C2×D12C22×D511yescharacteristic
390C2×C4×D3—54no—
391C2×C4×D3—54no—
392C2×C4×D3—54no—
393C2×C4×D3—204no—
394C2×C4×D3C22×D512yes—
395C2×C4×D3C22×D512yes—
396C2×C4×D3C22×D511yescharacteristic
397C2×Dic6—52no—
398C2×Dic6—54no—
399C2×Dic6C22×D512yes—
400C2×Dic6C22×D511yescharacteristic
401C3×C4⋊C4—54no—
402C3×C4⋊C4—54no—
403C3×C4⋊C4—54no—
404C3×C4⋊C4—52no—
405C3×C4⋊C4—52no—
406C3×C22⋊C4—54no—
407C3×C22⋊C4—52no—
408C3×C22⋊C4C22×D514yes—
409C3×C42—52no—
410C3×C42C22×D511yescharacteristic
411#217—54no—
412#217—52no—
413#217C22×D514yes—
414(C2×D3)⋊C4—54no—
415(C2×D3)⋊C4—54no—
416(C2×D3)⋊C4—54no—
417(C2×D3)⋊C4C22×D514yes—
418(C2×D3)⋊C4C22×D514yes—
419C4⋊Dic3—52no—
420C4⋊Dic3—52no—
421C4⋊Dic3—54no—
422C4⋊Dic3—54no—
423C4⋊Dic3—54no—
424Dic3⋊C4—54no—
425Dic3⋊C4—54no—
426Dic3⋊C4—54no—
427Dic3⋊C4—54no—
428Dic3⋊C4—54no—
429Dic3⋊C4—54no—
430Dic3⋊C4—54no—
431Dic3⋊C4—54no—
432C4×Dic3—52no—
433C4×Dic3—54no—
434C4×Dic3C22×D512yes—
435C4×Dic3C22×D511yescharacteristic
436C23×C5—31no—
437C23×C5—32no—
438C23×C5—64no—
439C23×C5—68no—
440C23×C5C23×D312yes—
441C5×Q8—41no—
442C5×Q8—122no—
443C5×Q8—121no—
444C5×D4—41no—
445C5×D4—121no—
446C5×D4—122no—
447C2×C4×C5—32no—
448C2×C4×C5—31no—
449C2×C4×C5—32no—
450C2×C4×C5—64no—
451C2×C4×C5—64no—
452C2×C4×C5—62no—
453C2×C4×C5C23×D312yes—
454C2×C4×C5C23×D311yescharacteristic
455C2×C4×C5C23×D312yes—
456C2×Dic5—34no—
457C2×Dic5—34no—
458C2×Dic5—42no—
459C2×Dic5—68no—
460C2×Dic5—68no—
461C2×Dic5—124no—
462C2×Dic5—122no—
463C2×Dic5C23×D314yes—
464C2×Dic5C23×D314yes—
465Dic10—42no—
466Dic10—124no—
467Dic10—122no—
468C22×Q8—31no—
469C22×Q8—152no—
470C22×D4—31no—
471C23×C4—152no—
472C4⋊Q8—52no—
473C4⋊Q8—152no—
474C4⋊Q8—154no—
475C4⋊Q8—154no—
476C4⋊Q8—152no—
477C4⋊Q8—152no—
478#126—54no—
479#126—154no—
480#126—154no—
481#126—154no—
482#126—154no—
483#126—154no—
484#126—154no—
485#126—154no—
486#125—52no—
487#125—154no—
488#125—154no—
489#125—152no—
490#125—152no—
491#125—152no—
492#124—31no—
493#124—31no—
494#124—34no—
495#124—31no—
496#124D3×D511yescharacteristic
497#123—52no—
498#123—154no—
499#123—152no—
500#123—154no—
501#123—152no—
502#123—152no—
503C22⋊Q8—54no—
504C22⋊Q8—154no—
505C22⋊Q8—154no—
506C22⋊Q8—154no—
507C22⋊Q8—154no—
508C22⋊Q8—154no—
509C22⋊Q8—154no—
510C22⋊Q8—154no—
511C2×C4⋊C4—152no—
512C2×C4⋊C4—154no—
513C2×C4⋊C4—154no—
514C2×C4⋊C4—154no—
515C2×C4⋊C4—152no—
516C2×C22⋊C4—34no—
517C2×C22⋊C4—154no—
518C2×C22⋊C4—152no—
519C2×C42—31no—
520C2×C42—152no—
521C2×C3×C5—42no—
522C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
523C2×C3×C5C2×2−1+412yes—
524C5×D3—42no—
525C5×D3#56314yescomplemented
526C23×C3C23×D512yes—
527C22×D3—24no—
528C22×D3—28no—
529C22×D3C23×D512yes—
530C22×D3C23×D511yescharacteristic
531C3×Q8—41no—
532C3×Q8—202no—
533C3×D4—41no—
534C2×C3×C4—54no—
535C2×C3×C4—54no—
536C2×C3×C4—202no—
537C2×C3×C4C23×D512yes—
538C2×C3×C4C23×D511yescharacteristic
539C2×C3×C4C23×D512yes—
540#67—42no—
541C2×Dic3—54no—
542C2×Dic3—54no—
543C2×Dic3—202no—
544C2×Dic3C23×D512yes—
545C2×Dic3C23×D512yes—
546C2×Dic3C23×D511yescharacteristic
547D12—41no—
548C4×D3—22no—
549C4×D3—24no—
550C4×D3—24no—
551C4×D3—108no—
552C4×D3—108no—
553C4×D3—204no—
554Dic6—41no—
555Dic6—42no—
556Dic6—204no—
557Dic6—202no—
558C22×C5—22no—
559C22×C5—24no—
560C22×C5—32no—
561C22×C5—34no—
562C22×C5—62no—
563C22×C5—64no—
564C22×C5—128no—
565C22×C5C24×D311yescharacteristic
566C4×C5—22no—
567C4×C5—21no—
568C4×C5—22no—
569C4×C5—62no—
570C4×C5—61no—
571C4×C5—62no—
572Dic5—24no—
573Dic5—24no—
574Dic5—64no—
575Dic5—64no—
576C24—32no—
577C2×Q8—32no—
578C2×Q8—31no—
579C2×Q8—52no—
580C2×Q8—122no—
581C2×Q8—154no—
582C2×Q8—152no—
583C2×Q8—604no—
584C2×Q8C2×D3×D511yescharacteristic
585C2×D4—32no—
586C2×D4—31no—
587C2×D4—122no—
588C2×D4C2×D3×D511yescharacteristic
589C22×C4—32no—
590C22×C4—31no—
591C22×C4—32no—
592C22×C4—52no—
593C22×C4—154no—
594C22×C4—154no—
595C22×C4—154no—
596C22×C4—152no—
597C22×C4—604no—
598C4⋊C4—52no—
599C4⋊C4—54no—
600C4⋊C4—54no—
601C4⋊C4—54no—
602C4⋊C4—52no—
603C4⋊C4—154no—
604C4⋊C4—154no—
605C4⋊C4—154no—
606C4⋊C4—154no—
607C4⋊C4—154no—
608C4⋊C4—154no—
609C4⋊C4—154no—
610C4⋊C4—154no—
611C4⋊C4—152no—
612C4⋊C4—154no—
613C4⋊C4—154no—
614C4⋊C4—154no—
615C4⋊C4—152no—
616C22⋊C4—34no—
617C22⋊C4—34no—
618C22⋊C4—34no—
619C22⋊C4—54no—
620C22⋊C4—52no—
621C22⋊C4—154no—
622C22⋊C4—154no—
623C22⋊C4—154no—
624C22⋊C4—154no—
625C22⋊C4—152no—
626C22⋊C4C2×D3×D514yes—
627C42—31no—
628C42—32no—
629C42—52no—
630C42—154no—
631C42—152no—
632C42C2×D3×D511yescharacteristic
633C3×C5C2×#56311yescharacteristic, complemented, Hall
634C22×C3—22no—
635C22×C3—24no—
636C22×C3C24×D511yescharacteristic
637C2×D3—22no—
638C2×D3—24no—
639C2×D3—48no—
640C2×D3#414412yes—
641C2×D3#415014yes—
642C3×C4—22no—
643C3×C4—21no—
644C3×C4—22no—
645C3×C4—104no—
646C3×C4—104no—
647Dic3—22no—
648Dic3—21no—
649Dic3—22no—
650Dic3—104no—
651Dic3—104no—
652C2×C5—34no—
653C2×C5—42no—
654C2×C5—122no—
655C2×C5D3×H(5,𝔽2)11yescharacteristic
656C2×C5D3×2−1+412yes—
657C23—31no—
658C23—32no—
659C23—64no—
660C23—68no—
661C23C22×D3×D512yes—
662Q8—41no—
663Q8—121no—
664Q8—122no—
665Q8—202no—
666Q8—602no—
667Q8—604no—
668D4—41no—
669D4—121no—
670D4—122no—
671C2×C4—32no—
672C2×C4—31no—
673C2×C4—32no—
674C2×C4—54no—
675C2×C4—54no—
676C2×C4—62no—
677C2×C4—64no—
678C2×C4—64no—
679C2×C4—154no—
680C2×C4—154no—
681C2×C4—202no—
682C2×C4—308no—
683C2×C4—308no—
684C2×C4—604no—
685C2×C4—602no—
686C2×C4C22×D3×D512yes—
687C2×C4C22×D3×D511yescharacteristic
688C2×C4C22×D3×D512yes—
689C2×C3—42no—
690C2×C3C2×#414411yescharacteristic
691C2×C3C2×#415012yes—
692D3—42no—
693D3#6600614yesdirect product factor
694C5D3×#56311yescharacteristic, complemented, Sylow
695C22—24no—
696C22—22no—
697C22—34no—
698C22—32no—
699C22—64no—
700C22—62no—
701C22—128no—
702C22C23×D3×D511yescharacteristic
703C4—22no—
704C4—21no—
705C4—22no—
706C4—62no—
707C4—61no—
708C4—62no—
709C4—104no—
710C4—104no—
711C4—304no—
712C4—304no—
713C3C2×#6600611yescharacteristic, complemented, Sylow
714C2—34no—
715C2—42no—
716C2—122no—
717C2D3×#414411yescharacteristic
718C2D3×#415012yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#124C22
prime radicalC2×C5×D3×D4C22
hypercenter#124D3×D5
hypocenterC3×C5C2×#563
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #124

Complements

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

NH ≅ G/Ntype
1. #11756431C2semidirect
3. C3×#66006C2semidirect
4. #11755216C2semidirect
5. D3×#4090C2semidirect
6. #11755016C2semidirect
8. #11753064C2semidirect
9. #11753051C2semidirect
10. D3×#4025C2semidirect
11. D3×#4024C2semidirect
12. #11752653C2semidirect
13. D3×#4016C2semidirect
20. #91833C22semidirect
22. #91768C22semidirect
23. #91767C22semidirect
24. #91759C22semidirect
31. C3×#4090C22semidirect
33. C3×#4025C22semidirect
34. C3×#4024C22semidirect
35. C3×#4016C22semidirect
36. #91576C22semidirect
37. #91574C22semidirect
43. #91531C22semidirect
44. #91530C22semidirect
45. #91436C22semidirect
46. #91432C22semidirect
50. #91417C22semidirect
51. #91410C22semidirect
56. #91385C22semidirect
57. #91381C22semidirect
58. #91381C22semidirect
59. #91379C22semidirect
60. #91379C22semidirect
61. #91376C22semidirect
62. #91372C22semidirect
63. #91367C22semidirect
64. #91342C22semidirect
65. #91341C22semidirect
66. #91329C22semidirect
67. #91329C22semidirect
78. #66006D3direct (N × H)
170. #4090C2×D3semidirect
190. #4025C2×D3semidirect
198. #4024C2×D3semidirect
204. #4016C2×D3semidirect
525. C5×D3#563semidirect
633. C3×C5C2×#563semidirect
693. D3#66006direct (N × H)
694. C5D3×#563semidirect
713. C3C2×#66006semidirect

Maximal subgroups

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

subgroupindex
#117564312
C5×D3×#1242
C3×#660062
#117552162
D3×#40902
#117550162
D3×#40812
#117530642
#117530512
D3×#40252
D3×#40242
#117526532
D3×#40162
C2×#660063
D3×#5635