Finite Group Databasebeta

← D3×#65159 #14429915

Subgroups — D3×#65159 #14429915

Order 1920.

960 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#4039C211yesmaximal, characteristic
2D3×#4034C211yesmaximal, characteristic, complemented
3#11750971C211yesmaximal, characteristic, complemented
4C5×D3×#106C211yesmaximal, characteristic, complemented
5C3×#65159C211yesmaximal, characteristic, complemented
6D3×#3953C211yesmaximal, characteristic
7#11747802C211yesmaximal, characteristic, complemented
8#11747762C211yesmaximal, characteristic, complemented
9D3×#3946C211yesmaximal, characteristic, complemented
10D3×#3941C211yesmaximal, characteristic
11D3×#3940C211yesmaximal, characteristic, complemented
12#11747415C211yesmaximal, characteristic, complemented
13#11747255C211yesmaximal, characteristic, complemented
14#11747240C211yesmaximal, characteristic, complemented
15#11747183C211yesmaximal, characteristic, complemented
16C2×#65159—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C2×C4×D3×D5—21no—
19C2×D3×Dic10—21no—
20#91782C2211yescharacteristic
21#91777C2211yescharacteristic, complemented
22C2×C5×D3×C8C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C5×D3×C4⋊C4C2211yescharacteristic
25C3×#4039C2211yescharacteristic
26C3×#4034C2211yescharacteristic, complemented
27D3×#685—21no—
28#91470C2211yescharacteristic, complemented
29#91468C2211yescharacteristic, complemented
30#91444—21no—
31#91434C2211yescharacteristic
32D3×C4⋊Dic5C2211yescharacteristic
33#91418C2211yescharacteristic
34D3×#683—21no—
35C4×D3×Dic5C2211yescharacteristic
36#91396—21no—
37#91328—21no—
38#91327—21no—
39C2×D3×#168C2211yescharacteristic
40C3×C5×#106C2211yescharacteristic, complemented
41#91105C2211yescharacteristic
42#91098C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91092C2211yescharacteristic, complemented
45C5×#817C2211yescharacteristic, complemented
46C5×#808C2211yescharacteristic, complemented
47C5×#808C2211yescharacteristic, complemented
48C3×#3953C2211yescharacteristic
49C3×#3946C2211yescharacteristic, complemented
50C3×#3941C2211yescharacteristic
51C3×#3940C2211yescharacteristic, complemented
52#90986C2211yescharacteristic, complemented
53#90985C2211yescharacteristic, complemented
54#90983C2211yescharacteristic, complemented
55#90982C2211yescharacteristic, complemented
56#90969C2211yescharacteristic
57#90968C2211yescharacteristic
58#90965C2211yescharacteristic
59#90964C2211yescharacteristic
60D3×#476—51nomaximal, Hall
61C2×#4039—31no—
62C2×#4034—31no—
63C2×C5×#106—31no—
64C2×#3953—31no—
65C2×#3946—31no—
66C2×#3941—31no—
67C2×#3940—31no—
68#65159—31no—
69#65159—31no—
70#65159—31no—
71#65159—31no—
72#65159—31no—
73#65159—31no—
74#65159—31no—
75#65159D311yescharacteristic, direct product factor
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30—21no—
80C2×C4×C5×D3—21no—
81C2×C4×C5×D3—21no—
82C2×C4×C5×D3C2311yescharacteristic
83C2×C3×D20C2311yescharacteristic
84C2×C3×C4×D5—21no—
85C2×C3×Dic10—21no—
86C2×#1204—21no—
87C2×#1204—21no—
88C2×#1202—21no—
89C2×#1200—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5D411yescharacteristic
92C2×D3×Dic5D411yescharacteristic
93C2×D5×Dic3—21no—
94D3×D20—22no—
95D3×D20Q814yescomplemented
96C4×D3×D5—44no—
97D3×Dic10—44no—
98C2×C3×C5×C8C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C4⋊C4C2311yescharacteristic
101#6714—21no—
102C4⋊Dic15C2311yescharacteristic
103#6712—21no—
104C4×Dic15C2311yescharacteristic
105C2×C3⋊#168C2311yescharacteristic
106C5×C4⋊Dic3C2311yescharacteristic
107C5×C4⋊Dic3C2311yescharacteristic
108C5×Dic3⋊C4—21no—
109C5×Dic3⋊C4—21no—
110C2×C5×C3⋊C8C2311yescharacteristic
111C5×D3×C8—22no—
112C3×#685—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×#683—21no—
115C3×C4×Dic5C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117Dic3⋊Dic5—21no—
118#6669—21no—
119#6668—21no—
120#6667—21no—
121#6665—21no—
122Dic3×Dic5D411yescharacteristic
123Dic3×Dic5D411yescharacteristic
124D3×#168—22no—
125D3×C4⋊Q8—51no—
126C4×D3×D4—51no—
127C3×#476—51no—
128#5084—51no—
129#5008—51no—
130#4870—51no—
131#4870—51no—
132D3×#106—51no—
133D3×#106D511yescharacteristic, complemented
134#4842—51no—
135D3×C4⋊C8—51no—
136D3×#102—51no—
137D3×#102—51no—
138#4761—51no—
139#4761—51no—
140C22×D20—31no—
141C22×C4×D5—61no—
142C22×Dic10—61no—
143C22×C5×C8—31no—
144C2×C5×C4⋊C4—31no—
145C2×C5×C4⋊C4—31no—
146C2×#685—61no—
147C2×C4⋊Dic5—31no—
148C2×#683—61no—
149C2×C4×Dic5—31no—
150C22×#168—31no—
151#4039—31no—
152#4039—31no—
153#4039—31no—
154#4039—61no—
155#4039—61no—
156#4039C2×D311yescharacteristic
157#4034—31no—
158#4034—31no—
159#4034—31no—
160#4034—61no—
161#4034—61no—
162#4034C2×D311yescharacteristic, complemented
163C5×#106—31no—
164C5×#106—31no—
165C5×#106—31no—
166C5×#106C2×D311yescharacteristic, complemented
167#3953—31no—
168#3953—31no—
169#3953—31no—
170#3953C2×D311yescharacteristic
171#3946—31no—
172#3946—31no—
173#3946—31no—
174#3946C2×D311yescharacteristic, complemented
175#3941—31no—
176#3941—31no—
177#3941—31no—
178#3941C2×D311yescharacteristic
179#3940—31no—
180#3940—31no—
181#3940—31no—
182#3940C2×D311yescharacteristic, complemented
183C2×#476—151noSylow
184C22×D15—21no—
185C22×C5×D3C2×D411yescharacteristic
186C22×C3×D5—21no—
187C2×D3×D5—24no—
188C2×D3×D5—42no—
189C2×D3×D5—42no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5C2411yescharacteristic
193C2×Dic15—21no—
194C2×Dic15C2×D411yescharacteristic
195C2×Dic15C2×D411yescharacteristic
196D60—21no—
197D60C2×Q812yescomplemented
198C4×D15—42no—
199Dic30—42no—
200C2×C5×Dic3—21no—
201C2×C5×Dic3—21no—
202C2×C5×Dic3C2×D411yescharacteristic
203C4×C5×D3—42no—
204C4×C5×D3—42no—
205C4×C5×D3C2×Q812yes—
206C4×C5×D3#4112yes—
207C2×C3×Dic5—21no—
208C2×C3×Dic5C2×D411yescharacteristic
209C2×C3×Dic5C2×D411yescharacteristic
210C3×D20—21no—
211C3×D20C2×Q812yescomplemented
212C3×C4×D5—42no—
213C3×Dic10—42no—
214#1204—42no—
215#1204—42no—
216#1202—24no—
217#1200—42no—
218D3×Dic5—22no—
219D3×Dic5—42no—
220D3×Dic5SD1614yes—
221D5×Dic3—42no—
222C3×C5×C8—21no—
223C3⋊#168—21no—
224C3×#168—21no—
225C5×C3⋊C8—21no—
226C2×D3×Q8—101no—
227C2×D3×D4—51no—
228C22×C4×D3—101no—
229C3×C4⋊Q8—51no—
230C3×C4×D4—51no—
231#944—101no—
232D4×Dic3—51no—
233C4×#67—101no—
234C2×D3×C8—51no—
235C2×D3×C8C2×D511yescharacteristic
236#893—51no—
237D3×C4⋊C4—51no—
238D3×C4⋊C4—101no—
239D3×C4⋊C4C2×D511yescharacteristic
240D3×C4⋊C4C2×D511yescharacteristic
241#888—51no—
242#888—51no—
243#888—101no—
244#67⋊C4—101no—
245D3×C22⋊C4—101no—
246C4×D12—51no—
247C42×D3—51no—
248#869—51no—
249C3×#106—51no—
250C3×#106C2×D511yescharacteristic, complemented
251C3×C4⋊C8—51no—
252C3×#102—51no—
253C3×#102—51no—
254#832—51no—
255#832—51no—
256#821—51no—
257#821—51no—
258#817—51no—
259#817C2×D511yescharacteristic, complemented
260Dic3⋊C8—51no—
261Dic3⋊C8—51no—
262#809—51no—
263#809—51no—
264#808—51no—
265#808—51no—
266#808C2×D511yescharacteristic, complemented
267#808C2×D511yescharacteristic, complemented
268C4⋊(C3⋊C8)—51no—
269C23×D5—61no—
270C22×C4×C5—31no—
271C22×C4×C5—61no—
272C22×C4×C5—61no—
273C22×Dic5—31no—
274C22×Dic5—31no—
275C22×Dic5—61no—
276C2×D20—31no—
277C2×D20—34no—
278C2×D20—62no—
279C2×D20—61no—
280C2×D20C22×D311yescharacteristic
281C2×C4×D5—21no—
282C2×C4×D5—61no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×C4×D5—124no—
286C2×Dic10—21no—
287C2×Dic10—61no—
288C2×Dic10—61no—
289C2×Dic10—61no—
290C2×Dic10—124no—
291C2×C5×C8—31no—
292C2×C5×C8—62no—
293C2×C5×C8C22×D311yescharacteristic
294C5×C4⋊C4—31no—
295C5×C4⋊C4—31no—
296C5×C4⋊C4—61no—
297C5×C4⋊C4—61no—
298C5×C4⋊C4C22×D311yescharacteristic
299C5×C4⋊C4C22×D311yescharacteristic
300#685—21no—
301#685—61no—
302#685—61no—
303#685—61no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306C4⋊Dic5C22×D311yescharacteristic
307#683—21no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—31no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C4×Dic5C22×D311yescharacteristic
315C2×#168—31no—
316C2×#168—62no—
317C2×#168C22×D311yescharacteristic
318C2×C4⋊Q8—151no—
319C2×C4×D4—151no—
320#476—51no—
321#476—151no—
322#476—151no—
323#476—151no—
324#476—151no—
325#476—151no—
326#476—151no—
327#476—151no—
328C2×#106—31no—
329C2×#106—151no—
330C2×C4⋊C8—151no—
331C2×#102—151no—
332C2×#102—151no—
333C22×C3×C5C22×D411yescharacteristic
334C2×D15—22no—
335C2×D15—41no—
336C2×D15—41no—
337C2×C5×D3C22⋊Q812yes—
338C2×C5×D3C2×SD1612yes—
339C2×C5×D3AGL(1,ℤ/8)12yes—
340C2×C3×D5—22no—
341C2×C3×D5—41no—
342C2×C3×D5—41no—
343D3×D5—48no—
344C3×C4×C5—41no—
345C3×C4×C5—41no—
346C3×C4×C5C22×Q811yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—21no—
349Dic15—41no—
350Dic15C2×SD1612yes—
351C3×Dic5—21no—
352C3×Dic5—41no—
353C3×Dic5C2×SD1612yes—
354C5×Dic3—41no—
355C5×Dic3—41no—
356C5×Dic3C22⋊Q812yes—
357C23×D3—101no—
358C2×C3×Q8—101no—
359C2×C3×D4—51no—
360C22×C3×C4—101no—
361C2×#67—101no—
362C22×Dic3—101no—
363D3×Q8—204no—
364D3×D4—54no—
365D3×D4—102no—
366C2×D12—51no—
367C2×C4×D3—21no—
368C2×C4×D3—21no—
369C2×C4×D3—51no—
370C2×C4×D3—51no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C2×C4×D3—101no—
374C2×C4×D3—204no—
375C2×C4×D3C22×D511yescharacteristic
376C2×Dic6—101no—
377C2×Dic6—101no—
378C2×Dic6—101no—
379C2×C3×C8—51no—
380C2×C3×C8C22×D511yescharacteristic
381C3×C4⋊C4—51no—
382C3×C4⋊C4—101no—
383C3×C4⋊C4C22×D511yescharacteristic
384C3×C4⋊C4C22×D511yescharacteristic
385C3×C22⋊C4—101no—
386C3×C42—51no—
387#217—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390C4⋊Dic3—51no—
391C4⋊Dic3—101no—
392C4⋊Dic3C22×D511yescharacteristic
393C4⋊Dic3C22×D511yescharacteristic
394Dic3⋊C4—21no—
395Dic3⋊C4—21no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399C4×Dic3—51no—
400C4×Dic3—51no—
401C4×Dic3—51no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8C22×D511yescharacteristic
404D3×C8—22no—
405D3×C8—102no—
406C23×C5—31no—
407C22×D5—21no—
408C22×D5—64no—
409C22×D5—61no—
410C22×D5—122no—
411C22×D5—122no—
412C2×C4×C5—21no—
413C2×C4×C5—21no—
414C2×C4×C5—31no—
415C2×C4×C5—32no—
416C2×C4×C5—32no—
417C2×C4×C5—61no—
418C2×C4×C5—61no—
419C2×C4×C5—122no—
420C2×C4×C5—122no—
421C2×C4×C5C23×D311yescharacteristic
422C2×Dic5—21no—
423C2×Dic5—31no—
424C2×Dic5—34no—
425C2×Dic5—31no—
426C2×Dic5—62no—
427C2×Dic5—61no—
428C2×Dic5—122no—
429C2×Dic5D3×D411yescharacteristic
430C2×Dic5D3×D411yescharacteristic
431D20—21no—
432D20—32no—
433D20—64no—
434D20—61no—
435D20D3×Q812yescomplemented
436C4×D5—42no—
437C4×D5—122no—
438C4×D5—122no—
439C4×D5—122no—
440Dic10—42no—
441Dic10—122no—
442Dic10—122no—
443Dic10—122no—
444C5×C8—21no—
445C5×C8—61no—
446#168—21no—
447#168—61no—
448C22×Q8—301no—
449C22×D4—151no—
450C23×C4—301no—
451C22×C8—31no—
452C22×C8—151no—
453C4⋊Q8—51no—
454C4⋊Q8—151no—
455C4⋊Q8—151no—
456C4⋊Q8—151no—
457C4⋊Q8—301no—
458C4⋊Q8—301no—
459C4×D4—51no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—301no—
464C4×D4—301no—
465C2×C4⋊C4—31no—
466C2×C4⋊C4—31no—
467C2×C4⋊C4—151no—
468C2×C4⋊C4—301no—
469C2×C22⋊C4—301no—
470C2×C42—151no—
471#106—31no—
472#106—31no—
473#106—31no—
474#106—51no—
475#106—151no—
476#106—151no—
477#106—151no—
478#106D3×D511yescharacteristic, complemented
479C4⋊C8—51no—
480C4⋊C8—151no—
481C4⋊C8—151no—
482C4⋊C8—151no—
483#102—51no—
484#102—51no—
485#102—151no—
486#102—151no—
487#102—151no—
488#102—151no—
489#102—151no—
490#102—151no—
491C2×C3×C5C2×C22⋊Q811yescharacteristic
492C2×C3×C5C22×SD1611yescharacteristic
493C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
494D15—42no—
495C3×D5—42no—
496C5×D3#47614yescomplemented
497C23×C3—101no—
498C22×D3—101no—
499C22×D3—104no—
500C22×D3—202no—
501C22×D3—202no—
502C22×D3D4×D511yescharacteristic
503C3×Q8—202no—
504C3×D4—52no—
505C3×D4—101no—
506C2×C3×C4—21no—
507C2×C3×C4—21no—
508C2×C3×C4—51no—
509C2×C3×C4—51no—
510C2×C3×C4—101no—
511C2×C3×C4—202no—
512C2×C3×C4C23×D511yescharacteristic
513#67—104no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—51no—
517C2×Dic3—51no—
518C2×Dic3—101no—
519C2×Dic3—202no—
520C2×Dic3D4×D511yescharacteristic
521D12—52no—
522D12—101no—
523C4×D3—42no—
524C4×D3—42no—
525C4×D3—54no—
526C4×D3—102no—
527C4×D3—202no—
528C4×D3—202no—
529C4×D3—202no—
530C4×D3#70912yes—
531C4×D3Q8×D512yes—
532Dic6—202no—
533Dic6—202no—
534Dic6—202no—
535C3×C8—21no—
536C3×C8—101no—
537C3⋊C8—21no—
538C3⋊C8—101no—
539C22×C5—32no—
540C22×C5—32no—
541C22×C5—32no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—22no—
544C2×D5—41no—
545C2×D5—41no—
546C2×D5—62no—
547C2×D5—128no—
548C2×D5—121no—
549C2×D5—121no—
550C4×C5—32no—
551C4×C5—41no—
552C4×C5—41no—
553C4×C5—121no—
554C4×C5—121no—
555C4×C5C2×D3×Q811yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—21no—
558Dic5—32no—
559Dic5—41no—
560Dic5—61no—
561Dic5—121no—
562Dic5D3×SD1612yes—
563C24—301no—
564C2×Q8—101no—
565C2×Q8—301no—
566C2×Q8—301no—
567C2×Q8—301no—
568C2×Q8—604no—
569C2×D4—51no—
570C2×D4—154no—
571C2×D4—151no—
572C2×D4—302no—
573C2×D4—301no—
574C22×C4—31no—
575C22×C4—61no—
576C22×C4—61no—
577C22×C4—101no—
578C22×C4—151no—
579C22×C4—151no—
580C22×C4—301no—
581C22×C4—301no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—604no—
585C2×C8—31no—
586C2×C8—51no—
587C2×C8—62no—
588C2×C8—151no—
589C2×C8—302no—
590C2×C8C2×D3×D511yescharacteristic
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—51no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—101no—
597C4⋊C4—151no—
598C4⋊C4—301no—
599C4⋊C4—301no—
600C4⋊C4—301no—
601C4⋊C4—301no—
602C4⋊C4C2×D3×D511yescharacteristic
603C4⋊C4C2×D3×D511yescharacteristic
604C22⋊C4—101no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C42—51no—
609C42—151no—
610C42—151no—
611C42—151no—
612C3×C5C2×#47611yescharacteristic, complemented, Hall
613C22×C3—102no—
614C22×C3—201no—
615C22×C3—201no—
616C22×C3C2×D4×D511yescharacteristic
617C2×D3—102no—
618C2×D3—201no—
619C2×D3—201no—
620C2×D3—208no—
621C2×D3#404212yes—
622C2×D3D5×SD1612yes—
623C2×D3#406012yes—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—52no—
627C3×C4—101no—
628C3×C4—201no—
629C3×C4C2×#70911yescharacteristic
630C3×C4C2×Q8×D511yescharacteristic
631Dic3—41no—
632Dic3—41no—
633Dic3—52no—
634Dic3—101no—
635Dic3—201no—
636Dic3#404212yes—
637C2×C5—34no—
638C2×C5D3×C22⋊Q811yescharacteristic
639C2×C5C2×D3×SD1611yescharacteristic
640C2×C5D3×AGL(1,ℤ/8)11yescharacteristic
641D5—42no—
642D5—122no—
643C23—31no—
644C23—101no—
645C23—304no—
646C23—301no—
647C23—602no—
648C23—602no—
649Q8—202no—
650Q8—602no—
651Q8—602no—
652Q8—602no—
653D4—52no—
654D4—101no—
655D4—152no—
656D4—304no—
657D4—301no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—31no—
661C2×C4—32no—
662C2×C4—32no—
663C2×C4—51no—
664C2×C4—51no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—101no—
668C2×C4—122no—
669C2×C4—122no—
670C2×C4—154no—
671C2×C4—151no—
672C2×C4—151no—
673C2×C4—202no—
674C2×C4—302no—
675C2×C4—301no—
676C2×C4—602no—
677C2×C4—602no—
678C2×C4—602no—
679C2×C4—602no—
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—61no—
683C8—101no—
684C8—301no—
685C2×C3—202no—
686C2×C3C2×#404211yescharacteristic
687C2×C3C2×D5×SD1611yescharacteristic
688C2×C3C2×#406011yescharacteristic
689D3—202no—
690D3#6515914yesdirect product factor
691C5D3×#47611yescharacteristic, complemented, Sylow
692C22—32no—
693C22—32no—
694C22—32no—
695C22—102no—
696C22—201no—
697C22—201no—
698C22—302no—
699C22—608no—
700C22—601no—
701C22—601no—
702C22D3×D4×D511yescharacteristic
703C4—32no—
704C4—41no—
705C4—41no—
706C4—52no—
707C4—101no—
708C4—121no—
709C4—121no—
710C4—152no—
711C4—201no—
712C4—301no—
713C4—601no—
714C4D3×#70911yescharacteristic
715C4D3×Q8×D511yescharacteristic
716C3C2×#6515911yescharacteristic, complemented, Sylow
717C2—34no—
718C2—202no—
719C2—602no—
720C2D3×#404211yescharacteristic
721C2D3×D5×SD1611yescharacteristic
722C2D3×#406011yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC2×D3×D20C22
hypercenter#106D3×D5
hypocenterC3×C5C2×#476
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
2. D3×#4034C2semidirect
3. #11750971C2semidirect
4. C5×D3×#106C2semidirect
5. C3×#65159C2semidirect
7. #11747802C2semidirect
8. #11747762C2semidirect
9. D3×#3946C2semidirect
11. D3×#3940C2semidirect
12. #11747415C2semidirect
13. #11747255C2semidirect
14. #11747240C2semidirect
15. #11747183C2semidirect
21. #91777C22semidirect
26. C3×#4034C22semidirect
28. #91470C22semidirect
29. #91468C22semidirect
40. C3×C5×#106C22semidirect
42. #91098C22semidirect
44. #91092C22semidirect
45. C5×#817C22semidirect
46. C5×#808C22semidirect
47. C5×#808C22semidirect
49. C3×#3946C22semidirect
51. C3×#3940C22semidirect
52. #90986C22semidirect
53. #90985C22semidirect
54. #90983C22semidirect
55. #90982C22semidirect
75. #65159D3direct (N × H)
95. D3×D20Q8semidirect
133. D3×#106D5semidirect
162. #4034C2×D3semidirect
166. C5×#106C2×D3semidirect
174. #3946C2×D3semidirect
182. #3940C2×D3semidirect
197. D60C2×Q8semidirect
211. C3×D20C2×Q8semidirect
250. C3×#106C2×D5semidirect
259. #817C2×D5semidirect
266. #808C2×D5semidirect
267. #808C2×D5semidirect
435. D20D3×Q8semidirect
478. #106D3×D5semidirect
496. C5×D3#476semidirect
612. C3×C5C2×#476semidirect
690. D3#65159direct (N × H)
691. C5D3×#476semidirect
716. C3C2×#65159semidirect

Maximal subgroups

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

subgroupindex
D3×#40392
D3×#40342
#117509712
C5×D3×#1062
C3×#651592
D3×#39532
#117478022
#117477622
D3×#39462
D3×#39412
D3×#39402
#117474152
#117472552
#117472402
#117471832
C2×#651593
D3×#4765