Finite Group Databasebeta

← D3×#65180 #14430002

Subgroups — D3×#65180 #14430002

Order 1920.

896 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#4039C211yesmaximal, characteristic
2D3×#4036C211yesmaximal, characteristic, complemented
3#11750992C211yesmaximal, characteristic, complemented
4C5×D3×#107C211yesmaximal, characteristic, complemented
5C3×#65180C211yesmaximal, characteristic, complemented
6D3×#3953C211yesmaximal, characteristic
7#11747804C211yesmaximal, characteristic, complemented
8#11747780C211yesmaximal, characteristic, complemented
9D3×#3946C211yesmaximal, characteristic, complemented
10D3×#3941C211yesmaximal, characteristic
11D3×#3940C211yesmaximal, characteristic, complemented
12#11747389C211yesmaximal, characteristic, complemented
13#11747257C211yesmaximal, characteristic, complemented
14#11747242C211yesmaximal, characteristic, complemented
15#11747185C211yesmaximal, characteristic, complemented
16C2×#65180—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C2×C4×D3×D5—21no—
19#91782C2211yescharacteristic
20#91779C2211yescharacteristic, complemented
21C2×C5×D3×C8C2211yescharacteristic
22C5×D3×C4⋊C4C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C3×#4039C2211yescharacteristic
25C3×#4036C2211yescharacteristic, complemented
26D3×#685—21no—
27#91444—21no—
28#91434C2211yescharacteristic
29D3×C4⋊Dic5—21no—
30D3×C4⋊Dic5C2211yescharacteristic
31#91418C2211yescharacteristic
32D3×#683—21no—
33C4×D3×Dic5C2211yescharacteristic
34#91396—21no—
35#91388C2211yescharacteristic, complemented
36#91384C2211yescharacteristic, complemented
37#91346—21no—
38#91343—21no—
39C2×D3×#168C2211yescharacteristic
40C3×C5×#107C2211yescharacteristic, complemented
41#91105C2211yescharacteristic
42#91098C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91092C2211yescharacteristic, complemented
45C5×#818C2211yescharacteristic, complemented
46C5×#807C2211yescharacteristic, complemented
47C5×#807C2211yescharacteristic, 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×#478—51nomaximal, Hall
61C2×#4039—31no—
62C2×#4036—31no—
63C2×C5×#107—31no—
64C2×#3953—31no—
65C2×#3946—31no—
66C2×#3941—31no—
67C2×#3940—31no—
68#65180—31no—
69#65180—31no—
70#65180—31no—
71#65180—31no—
72#65180—31no—
73#65180—31no—
74#65180—31no—
75#65180D311yescharacteristic, direct product factor
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×C4×C5×D3—21no—
80C2×C4×C5×D3—21no—
81C2×C4×C5×D3C2311yescharacteristic
82C2×C3×D20C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×#1202—21no—
85C2×#1200—21no—
86C2×D3×Dic5—21no—
87C2×D3×Dic5D411yescharacteristic
88C2×D3×Dic5D411yescharacteristic
89C2×D5×Dic3—21no—
90D3×D20—22no—
91D3×D20Q814yes—
92C4×D3×D5—44no—
93C2×C3×C5×C8C2311yescharacteristic
94C3×C5×C4⋊C4C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96#6714—21no—
97C4⋊Dic15—21no—
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C5×C4⋊Dic3C2311yescharacteristic
103C5×C4⋊Dic3C2311yescharacteristic
104C5×Dic3⋊C4—21no—
105C5×Dic3⋊C4—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C5×D3×C8—22no—
108C3×#685—21no—
109C3×C4⋊Dic5—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5C2311yescharacteristic
113C2×C3×#168C2311yescharacteristic
114Dic3⋊Dic5—21no—
115Dic3⋊Dic5—21no—
116Dic3⋊Dic5—21no—
117#6669—21no—
118#6668—21no—
119#6667—21no—
120#6665—21no—
121Dic3×Dic5D411yescharacteristic
122Dic3×Dic5D411yescharacteristic
123D3×#168—22no—
124D3×#125—51no—
125C4×D3×D4—51no—
126C3×#478—51no—
127#5066—51no—
128#5009—51no—
129#4891—51no—
130D3×#107D511yescharacteristic, complemented
131#4871—51no—
132D3×#106—51no—
133#4847—51no—
134D3×C4⋊C8—51no—
135D3×#102—51no—
136D3×#102—51no—
137#4766—51no—
138#4763—51no—
139C22×D20—31no—
140C22×C4×D5—61no—
141C22×C5×C8—31no—
142C2×C5×C4⋊C4—31no—
143C2×C5×C4⋊C4—31no—
144C2×#685—61no—
145C2×C4⋊Dic5—31no—
146C2×C4⋊Dic5—61no—
147C2×#683—61no—
148C2×C4×Dic5—31no—
149C22×#168—31no—
150#4039—31no—
151#4039—31no—
152#4039—31no—
153#4039—61no—
154#4039—61no—
155#4039C2×D311yescharacteristic
156#4036—31no—
157#4036—31no—
158#4036—31no—
159#4036—61no—
160#4036—61no—
161#4036C2×D311yescharacteristic, complemented
162C5×#107—31no—
163C5×#107—31no—
164C5×#107—31no—
165C5×#107C2×D311yescharacteristic, complemented
166#3953—31no—
167#3953—31no—
168#3953—31no—
169#3953C2×D311yescharacteristic
170#3946—31no—
171#3946—31no—
172#3946—31no—
173#3946C2×D311yescharacteristic, complemented
174#3941—31no—
175#3941—31no—
176#3941—31no—
177#3941C2×D311yescharacteristic
178#3940—31no—
179#3940—31no—
180#3940—31no—
181#3940C2×D311yescharacteristic, complemented
182C2×#478—151noSylow
183C22×D15—21no—
184C22×C5×D3C2×D411yescharacteristic
185C22×C3×D5—21no—
186C2×D3×D5—24no—
187C2×D3×D5—42no—
188C2×D3×D5—42no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5C2411yescharacteristic
192C2×Dic15—21no—
193C2×Dic15C2×D411yescharacteristic
194C2×Dic15C2×D411yescharacteristic
195D60—21no—
196D60C2×Q812yes—
197C4×D15—42no—
198C2×C5×Dic3—21no—
199C2×C5×Dic3—21no—
200C2×C5×Dic3C2×D411yescharacteristic
201C4×C5×D3—42no—
202C4×C5×D3—42no—
203C4×C5×D3C2×Q812yes—
204C4×C5×D3#4112yes—
205C2×C3×Dic5—21no—
206C2×C3×Dic5C2×D411yescharacteristic
207C2×C3×Dic5C2×D411yescharacteristic
208C3×D20—21no—
209C3×D20C2×Q812yes—
210C3×C4×D5—42no—
211#1202—24no—
212#1200—42no—
213D3×Dic5—22no—
214D3×Dic5—22no—
215D3×Dic5—42no—
216D5×Dic3—42no—
217C3×C5×C8—21no—
218C3⋊#168—21no—
219C3×#168—21no—
220C5×C3⋊C8—21no—
221C2×D3×D4—51no—
222C22×C4×D3—101no—
223C3×#125—51no—
224C3×C4×D4—51no—
225D4×Dic3—51no—
226C4×#67—101no—
227C2×D3×C8—51no—
228C2×D3×C8C2×D511yescharacteristic
229#893—51no—
230D3×C4⋊C4—51no—
231D3×C4⋊C4—101no—
232D3×C4⋊C4—101no—
233D3×C4⋊C4C2×D511yescharacteristic
234D3×C4⋊C4C2×D511yescharacteristic
235#890—51no—
236#890—51no—
237#889—101no—
238#889—101no—
239#67⋊C4—101no—
240D3×C22⋊C4—101no—
241C4×D12—51no—
242C42×D3—51no—
243#870—51no—
244C3×#107C2×D511yescharacteristic, complemented
245C3×#106—51no—
246C3×C4⋊C8—51no—
247C3×#102—51no—
248C3×#102—51no—
249#832—51no—
250#832—51no—
251#821—51no—
252#821—51no—
253#818C2×D511yescharacteristic, complemented
254#817—51no—
255Dic3⋊C8—51no—
256Dic3⋊C8—51no—
257#809—51no—
258#809—51no—
259#808—51no—
260#808—51no—
261#807C2×D511yescharacteristic, complemented
262#807C2×D511yescharacteristic, complemented
263C4⋊(C3⋊C8)—51no—
264C23×D5—61no—
265C22×C4×C5—31no—
266C22×C4×C5—61no—
267C22×C4×C5—61no—
268C22×Dic5—31no—
269C22×Dic5—31no—
270C22×Dic5—61no—
271C2×D20—31no—
272C2×D20—34no—
273C2×D20—62no—
274C2×D20—61no—
275C2×D20C22×D311yescharacteristic
276C2×C4×D5—21no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—124no—
281C2×C5×C8—31no—
282C2×C5×C8—62no—
283C2×C5×C8C22×D311yescharacteristic
284C5×C4⋊C4—31no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4—61no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C4⋊C4C22×D311yescharacteristic
290#685—21no—
291#685—61no—
292#685—61no—
293#685—61no—
294C4⋊Dic5—21no—
295C4⋊Dic5—31no—
296C4⋊Dic5—61no—
297C4⋊Dic5—61no—
298C4⋊Dic5—61no—
299C4⋊Dic5—61no—
300C4⋊Dic5C22×D311yescharacteristic
301#683—21no—
302#683—61no—
303#683—61no—
304#683—61no—
305C4×Dic5—31no—
306C4×Dic5—31no—
307C4×Dic5—31no—
308C4×Dic5C22×D311yescharacteristic
309C2×#168—31no—
310C2×#168—62no—
311C2×#168C22×D311yescharacteristic
312C2×#125—151no—
313C2×C4×D4—151no—
314#478—51no—
315#478—151no—
316#478—151no—
317#478—151no—
318#478—151no—
319#478—151no—
320#478—151no—
321#478—151no—
322C2×#107—31no—
323C2×#106—151no—
324C2×C4⋊C8—151no—
325C2×#102—151no—
326C2×#102—151no—
327C22×C3×C5C22×D411yescharacteristic
328C2×D15—22no—
329C2×D15—41no—
330C2×D15—41no—
331C2×C5×D3C22⋊Q812yes—
332C2×C5×D3#13512yes—
333C2×C5×D3AGL(1,ℤ/8)12yes—
334C2×C3×D5—22no—
335C2×C3×D5—41no—
336C2×C3×D5—41no—
337D3×D5—48no—
338C3×C4×C5—41no—
339C3×C4×C5—41no—
340C3×C4×C5C22×Q811yescharacteristic
341C3×C4×C5C2×#4111yescharacteristic
342Dic15—21no—
343Dic15—21no—
344Dic15—41no—
345C3×Dic5—21no—
346C3×Dic5—21no—
347C3×Dic5—41no—
348C5×Dic3—41no—
349C5×Dic3—41no—
350C5×Dic3C22⋊Q812yes—
351C23×D3—101no—
352C2×C3×D4—51no—
353C22×C3×C4—101no—
354C2×#67—101no—
355C22×Dic3—101no—
356D3×D4—54no—
357D3×D4—102no—
358C2×D12—51no—
359C2×C4×D3—21no—
360C2×C4×D3—21no—
361C2×C4×D3—51no—
362C2×C4×D3—51no—
363C2×C4×D3—101no—
364C2×C4×D3—101no—
365C2×C4×D3—101no—
366C2×C4×D3—204no—
367C2×C4×D3C22×D511yescharacteristic
368C2×C3×C8—51no—
369C2×C3×C8C22×D511yescharacteristic
370C3×C4⋊C4—51no—
371C3×C4⋊C4—101no—
372C3×C4⋊C4—101no—
373C3×C4⋊C4C22×D511yescharacteristic
374C3×C4⋊C4C22×D511yescharacteristic
375C3×C22⋊C4—101no—
376C3×C42—51no—
377#217—101no—
378(C2×D3)⋊C4—101no—
379(C2×D3)⋊C4—101no—
380C4⋊Dic3—51no—
381C4⋊Dic3—101no—
382C4⋊Dic3—101no—
383C4⋊Dic3C22×D511yescharacteristic
384C4⋊Dic3C22×D511yescharacteristic
385Dic3⋊C4—21no—
386Dic3⋊C4—21no—
387Dic3⋊C4—101no—
388Dic3⋊C4—101no—
389Dic3⋊C4—101no—
390Dic3⋊C4—101no—
391Dic3⋊C4—101no—
392C4×Dic3—51no—
393C4×Dic3—51no—
394C4×Dic3—51no—
395C2×C3⋊C8—51no—
396C2×C3⋊C8C22×D511yescharacteristic
397D3×C8—22no—
398D3×C8—102no—
399C23×C5—31no—
400C22×D5—21no—
401C22×D5—64no—
402C22×D5—61no—
403C22×D5—122no—
404C22×D5—122no—
405C2×C4×C5—21no—
406C2×C4×C5—21no—
407C2×C4×C5—31no—
408C2×C4×C5—32no—
409C2×C4×C5—32no—
410C2×C4×C5—61no—
411C2×C4×C5—61no—
412C2×C4×C5—122no—
413C2×C4×C5—122no—
414C2×C4×C5C23×D311yescharacteristic
415C2×Dic5—21no—
416C2×Dic5—31no—
417C2×Dic5—31no—
418C2×Dic5—62no—
419C2×Dic5—62no—
420C2×Dic5—61no—
421C2×Dic5—122no—
422C2×Dic5D3×D411yescharacteristic
423C2×Dic5D3×D411yescharacteristic
424D20—21no—
425D20—32no—
426D20—64no—
427D20—61no—
428D20D3×Q812yes—
429C4×D5—42no—
430C4×D5—122no—
431C4×D5—122no—
432C4×D5—122no—
433C5×C8—21no—
434C5×C8—61no—
435#168—21no—
436#168—61no—
437C22×D4—151no—
438C23×C4—301no—
439C22×C8—31no—
440C22×C8—151no—
441#125—51no—
442#125—151no—
443#125—151no—
444#125—151no—
445#125—301no—
446#125—301no—
447C4×D4—51no—
448C4×D4—151no—
449C4×D4—151no—
450C4×D4—151no—
451C4×D4—301no—
452C4×D4—301no—
453C2×C4⋊C4—31no—
454C2×C4⋊C4—31no—
455C2×C4⋊C4—151no—
456C2×C4⋊C4—301no—
457C2×C4⋊C4—301no—
458C2×C22⋊C4—301no—
459C2×C42—151no—
460#107—31no—
461#107—31no—
462#107—31no—
463#107D3×D511yescharacteristic, complemented
464#106—51no—
465#106—151no—
466#106—151no—
467#106—151no—
468C4⋊C8—51no—
469C4⋊C8—151no—
470C4⋊C8—151no—
471C4⋊C8—151no—
472#102—51no—
473#102—51no—
474#102—151no—
475#102—151no—
476#102—151no—
477#102—151no—
478#102—151no—
479#102—151no—
480C2×C3×C5C2×C22⋊Q811yescharacteristic
481C2×C3×C5C2×#13511yescharacteristic
482C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
483D15—42no—
484C3×D5—42no—
485C5×D3#47814yescomplemented
486C23×C3—101no—
487C22×D3—101no—
488C22×D3—104no—
489C22×D3—202no—
490C22×D3—202no—
491C22×D3D4×D511yescharacteristic
492C3×D4—52no—
493C3×D4—101no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—51no—
497C2×C3×C4—51no—
498C2×C3×C4—101no—
499C2×C3×C4—202no—
500C2×C3×C4C23×D511yescharacteristic
501#67—104no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—51no—
505C2×Dic3—51no—
506C2×Dic3—101no—
507C2×Dic3—202no—
508C2×Dic3D4×D511yescharacteristic
509D12—52no—
510D12—101no—
511C4×D3—42no—
512C4×D3—42no—
513C4×D3—102no—
514C4×D3—102no—
515C4×D3—202no—
516C4×D3—202no—
517C4×D3—202no—
518C4×D3#70912yes—
519C4×D3Q8×D512yes—
520C3×C8—21no—
521C3×C8—101no—
522C3⋊C8—21no—
523C3⋊C8—101no—
524C22×C5—32no—
525C22×C5—32no—
526C22×C5—32no—
527C22×C5C2×D3×D411yescharacteristic
528C2×D5—22no—
529C2×D5—41no—
530C2×D5—41no—
531C2×D5—62no—
532C2×D5—128no—
533C2×D5—121no—
534C2×D5—121no—
535C4×C5—32no—
536C4×C5—41no—
537C4×C5—41no—
538C4×C5—121no—
539C4×C5—121no—
540C4×C5C2×D3×Q811yescharacteristic
541C4×C5D3×#4111yescharacteristic
542Dic5—21no—
543Dic5—21no—
544Dic5—41no—
545Dic5—61no—
546Dic5—61no—
547Dic5—121no—
548C24—301no—
549C2×D4—51no—
550C2×D4—154no—
551C2×D4—151no—
552C2×D4—302no—
553C2×D4—301no—
554C22×C4—31no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—101no—
558C22×C4—151no—
559C22×C4—151no—
560C22×C4—301no—
561C22×C4—301no—
562C22×C4—301no—
563C22×C4—301no—
564C22×C4—604no—
565C2×C8—31no—
566C2×C8—51no—
567C2×C8—62no—
568C2×C8—151no—
569C2×C8—302no—
570C2×C8C2×D3×D511yescharacteristic
571C4⋊C4—31no—
572C4⋊C4—31no—
573C4⋊C4—51no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—101no—
577C4⋊C4—101no—
578C4⋊C4—151no—
579C4⋊C4—301no—
580C4⋊C4—301no—
581C4⋊C4—301no—
582C4⋊C4—301no—
583C4⋊C4—301no—
584C4⋊C4—301no—
585C4⋊C4—301no—
586C4⋊C4C2×D3×D511yescharacteristic
587C4⋊C4C2×D3×D511yescharacteristic
588C22⋊C4—101no—
589C22⋊C4—301no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C42—51no—
593C42—151no—
594C42—151no—
595C42—151no—
596C3×C5C2×#47811yescharacteristic, complemented, Hall
597C22×C3—102no—
598C22×C3—201no—
599C22×C3—201no—
600C22×C3C2×D4×D511yescharacteristic
601C2×D3—102no—
602C2×D3—201no—
603C2×D3—201no—
604C2×D3—208no—
605C2×D3#404212yes—
606C2×D3#405712yes—
607C2×D3#406512yes—
608C3×C4—41no—
609C3×C4—41no—
610C3×C4—101no—
611C3×C4—101no—
612C3×C4—201no—
613C3×C4C2×#70911yescharacteristic
614C3×C4C2×Q8×D511yescharacteristic
615Dic3—41no—
616Dic3—41no—
617Dic3—101no—
618Dic3—101no—
619Dic3—201no—
620Dic3#404212yes—
621C2×C5—34no—
622C2×C5D3×C22⋊Q811yescharacteristic
623C2×C5D3×#13511yescharacteristic
624C2×C5D3×AGL(1,ℤ/8)11yescharacteristic
625D5—42no—
626D5—122no—
627C23—31no—
628C23—101no—
629C23—304no—
630C23—301no—
631C23—602no—
632C23—602no—
633D4—52no—
634D4—101no—
635D4—152no—
636D4—304no—
637D4—301no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—31no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—51no—
644C2×C4—51no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—101no—
648C2×C4—122no—
649C2×C4—122no—
650C2×C4—151no—
651C2×C4—151no—
652C2×C4—202no—
653C2×C4—302no—
654C2×C4—302no—
655C2×C4—301no—
656C2×C4—602no—
657C2×C4—602no—
658C2×C4—602no—
659C2×C4—602no—
660C2×C4C22×D3×D511yescharacteristic
661C8—21no—
662C8—61no—
663C8—101no—
664C8—301no—
665C2×C3—202no—
666C2×C3C2×#404211yescharacteristic
667C2×C3C2×#405711yescharacteristic
668C2×C3C2×#406511yescharacteristic
669D3—202no—
670D3#6518014yesdirect product factor
671C5D3×#47811yescharacteristic, complemented, Sylow
672C22—32no—
673C22—32no—
674C22—32no—
675C22—102no—
676C22—201no—
677C22—201no—
678C22—302no—
679C22—608no—
680C22—601no—
681C22—601no—
682C22D3×D4×D511yescharacteristic
683C4—32no—
684C4—41no—
685C4—41no—
686C4—101no—
687C4—101no—
688C4—121no—
689C4—121no—
690C4—201no—
691C4—301no—
692C4—301no—
693C4—601no—
694C4D3×#70911yescharacteristic
695C4D3×Q8×D511yescharacteristic
696C3C2×#6518011yescharacteristic, complemented, Sylow
697C2—34no—
698C2—202no—
699C2—602no—
700C2D3×#404211yescharacteristic
701C2D3×#405711yescharacteristic
702C2D3×#406511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#107C22
socleC22×C3×C5C22×D4
prime radicalC2×D3×D20C22
hypercenter#107D3×D5
hypocenterC3×C5C2×#478
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
2. D3×#4036C2semidirect
3. #11750992C2semidirect
4. C5×D3×#107C2semidirect
5. C3×#65180C2semidirect
7. #11747804C2semidirect
8. #11747780C2semidirect
9. D3×#3946C2semidirect
11. D3×#3940C2semidirect
12. #11747389C2semidirect
13. #11747257C2semidirect
14. #11747242C2semidirect
15. #11747185C2semidirect
20. #91779C22semidirect
25. C3×#4036C22semidirect
35. #91388C22semidirect
36. #91384C22semidirect
40. C3×C5×#107C22semidirect
42. #91098C22semidirect
44. #91092C22semidirect
45. C5×#818C22semidirect
46. C5×#807C22semidirect
47. C5×#807C22semidirect
49. C3×#3946C22semidirect
51. C3×#3940C22semidirect
52. #90986C22semidirect
53. #90985C22semidirect
54. #90983C22semidirect
55. #90982C22semidirect
75. #65180D3direct (N × H)
130. D3×#107D5semidirect
161. #4036C2×D3semidirect
165. C5×#107C2×D3semidirect
173. #3946C2×D3semidirect
181. #3940C2×D3semidirect
244. C3×#107C2×D5semidirect
253. #818C2×D5semidirect
261. #807C2×D5semidirect
262. #807C2×D5semidirect
463. #107D3×D5semidirect
485. C5×D3#478semidirect
596. C3×C5C2×#478semidirect
670. D3#65180direct (N × H)
671. C5D3×#478semidirect
696. C3C2×#65180semidirect

Maximal subgroups

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

subgroupindex
D3×#40392
D3×#40362
#117509922
C5×D3×#1072
C3×#651802
D3×#39532
#117478042
#117477802
D3×#39462
D3×#39412
D3×#39402
#117473892
#117472572
#117472422
#117471852
C2×#651803
D3×#4785