Finite Group Databasebeta

← D3×#65156 #14431682

Subgroups — D3×#65156 #14431682

Order 1920.

832 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#4043C211yesmaximal, characteristic
2D3×#4038C211yesmaximal, characteristic
3#11750969C211yesmaximal, characteristic, complemented
4C5×D3×#106C211yesmaximal, characteristic, complemented
5C3×#65156C211yesmaximal, characteristic, complemented
6D3×#3952C211yesmaximal, characteristic
7#11747688C211yesmaximal, characteristic, complemented
8#11747676C211yesmaximal, characteristic, complemented
9D3×#3948C211yesmaximal, characteristic, complemented
10D3×#3942C211yesmaximal, characteristic, complemented
11D3×#3939C211yesmaximal, characteristic, complemented
12#11747366C211yesmaximal, characteristic, complemented
13#11747212C211yesmaximal, characteristic, complemented
14#11747205C211yesmaximal, characteristic, complemented
15#11747171C211yesmaximal, characteristic, complemented
16C2×#65156—31nomaximal, Hall
17C2×C4×D3×D5C2211yescharacteristic
18C2×D3×Dic10C2211yescharacteristic
19#91786C2211yescharacteristic
20#91781C2211yescharacteristic
21C2×C5×D3×C8C2211yescharacteristic
22C5×D3×C4⋊C4C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C3×#4043C2211yescharacteristic
25C3×#4038C2211yescharacteristic
26D3×#685—21no—
27D3×#685—21no—
28#91429—21no—
29D3×C4⋊Dic5—21no—
30D3×C4⋊Dic5C2211yescharacteristic
31#91422—21no—
32#91402—21no—
33C4×D3×Dic5—21no—
34#91394—21no—
35#91390C2211yescharacteristic
36#91360C2211yescharacteristic
37#91358C2211yescharacteristic
38#91347C2211yescharacteristic
39C2×D3×#168C2211yescharacteristic
40C3×C5×#106C2211yescharacteristic, complemented
41#91104C2211yescharacteristic
42#91100C2211yescharacteristic, complemented
43#91094C2211yescharacteristic, complemented
44#91091C2211yescharacteristic, complemented
45C5×#817C2211yescharacteristic, complemented
46C5×#808C2211yescharacteristic, complemented
47C5×#808C2211yescharacteristic, complemented
48C3×#3952C2211yescharacteristic
49C3×#3948C2211yescharacteristic, complemented
50C3×#3942C2211yescharacteristic, complemented
51C3×#3939C2211yescharacteristic, complemented
52#90989C2211yescharacteristic, complemented
53#90988C2211yescharacteristic, complemented
54#90975C2211yescharacteristic, complemented
55#90974C2211yescharacteristic, complemented
56#90971C2211yescharacteristic, complemented
57#90970C2211yescharacteristic, complemented
58#90957C2211yescharacteristic
59#90955C2211yescharacteristic
60D3×#485—51nomaximal, Hall
61C2×#4043—31no—
62C2×#4038—31no—
63C2×C5×#106—31no—
64C2×#3952—31no—
65C2×#3948—31no—
66C2×#3942—31no—
67C2×#3939—31no—
68#65156—31no—
69#65156—31no—
70#65156—31no—
71#65156—31no—
72#65156—31no—
73#65156—31no—
74#65156—31no—
75#65156D311yescharacteristic, direct product factor
76C22×D3×D5D411yescharacteristic
77C2×C4×D15C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C4×C5×D3—21no—
80C2×C4×C5×D3—21no—
81C2×C4×C5×D3C2311yescharacteristic
82C2×C3×C4×D5C2311yescharacteristic
83C2×C3×Dic10C2311yescharacteristic
84C2×#1204—21no—
85C2×#1200D411yescharacteristic
86C2×D3×Dic5—21no—
87C2×D3×Dic5—21no—
88C2×D3×Dic5D411yescharacteristic
89C2×D5×Dic3D411yescharacteristic
90C4×D3×D5—22no—
91C4×D3×D5—22no—
92D3×Dic10—22no—
93D3×Dic10—22no—
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6714—21no—
98#6714—21no—
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101C4×Dic15—21no—
102C2×C3⋊#168C2311yescharacteristic
103C5×C4⋊Dic3C2311yescharacteristic
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C5×Dic3⋊C4—21no—
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×D3×C8—22no—
109C3×#685—21no—
110C3×#685—21no—
111C3×C4⋊Dic5—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4×Dic5—21no—
114C2×C3×#168C2311yescharacteristic
115Dic3⋊Dic5—21no—
116Dic3⋊Dic5—21no—
117Dic3⋊Dic5—21no—
118#6667—21no—
119#6667—21no—
120#6665—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124D3×#168—22no—
125D3×C22⋊Q8—51no—
126D3×#117—51no—
127C3×#485—51no—
128#5045—51no—
129#4996—51no—
130#4888—51no—
131D3×#107—51no—
132#4868—51no—
133D3×#106D511yescharacteristic, complemented
134#4815—51no—
135#4814—51no—
136D3×#103—51no—
137D3×#103—51no—
138D3×C22⋊C8—51no—
139#4723—51no—
140C22×C4×D5—31no—
141C22×Dic10—31no—
142C22×C5×C8—31no—
143C2×C5×C4⋊C4—31no—
144C2×C5×C4⋊C4—31no—
145C2×#685—61no—
146C2×#685—61no—
147C2×C4⋊Dic5—31no—
148C2×C4⋊Dic5—61no—
149C2×C4×Dic5—61no—
150C22×#168—31no—
151#4043—31no—
152#4043—31no—
153#4043—31no—
154#4043—61no—
155#4043—61no—
156#4043C2×D311yescharacteristic
157#4038—31no—
158#4038—31no—
159#4038—31no—
160#4038—61no—
161#4038—61no—
162#4038C2×D311yescharacteristic
163C5×#106—31no—
164C5×#106—31no—
165C5×#106—31no—
166C5×#106C2×D311yescharacteristic, complemented
167#3952—31no—
168#3952—31no—
169#3952—31no—
170#3952C2×D311yescharacteristic
171#3948—31no—
172#3948—31no—
173#3948—31no—
174#3948C2×D311yescharacteristic, complemented
175#3942—31no—
176#3942—31no—
177#3942—31no—
178#3942C2×D311yescharacteristic, complemented
179#3939—31no—
180#3939—31no—
181#3939—31no—
182#3939C2×D311yescharacteristic, complemented
183C2×#485—151noSylow
184C22×D15C2×D411yescharacteristic
185C22×C5×D3C2×D411yescharacteristic
186C22×C3×D5C2×D411yescharacteristic
187C2×D3×D5—22no—
188C2×D3×D5—22no—
189C2×D3×D5—22no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5C2411yescharacteristic
193C2×Dic15—21no—
194C2×Dic15—21no—
195C2×Dic15C2×D411yescharacteristic
196C4×D15—21no—
197C4×D15—21no—
198Dic30—21no—
199Dic30—21no—
200C2×C5×Dic3—21no—
201C2×C5×Dic3—21no—
202C2×C5×Dic3C2×D411yescharacteristic
203C4×C5×D3—42no—
204C4×C5×D3—42no—
205C4×C5×D3#4112yes—
206C4×C5×D3#4112yes—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5C2×D411yescharacteristic
210C3×C4×D5—21no—
211C3×C4×D5—21no—
212C3×Dic10—21no—
213C3×Dic10—21no—
214#1204—42no—
215#1200—22no—
216D3×Dic5—22no—
217D3×Dic5—42no—
218D3×Dic5—42no—
219D5×Dic3—22no—
220C3×C5×C8—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C5×C3⋊C8—21no—
224C2×D3×Q8—51no—
225C22×C4×D3—51no—
226C3×C22⋊Q8—51no—
227C3×#117—51no—
228#946—51no—
229#926—51no—
230#924—51no—
231C2×D3×C8—51no—
232C2×D3×C8C2×D511yescharacteristic
233#897—51no—
234#896—101no—
235#892—51no—
236#892—51no—
237D3×C4⋊C4—51no—
238D3×C4⋊C4—101no—
239D3×C4⋊C4C2×D511yescharacteristic
240D3×C4⋊C4C2×D511yescharacteristic
241D3×C22⋊C4—101no—
242D3×C22⋊C4—101no—
243#878—101no—
244#877—101no—
245#872—101no—
246C42×D3—101no—
247C3×#107—51no—
248C3×#106C2×D511yescharacteristic, complemented
249C3×#103—51no—
250C3×#103—51no—
251C3×C22⋊C8—51no—
252#835—51no—
253#835—51no—
254#830—51no—
255(C2×D3)⋊C8—51no—
256(C2×D3)⋊C8—51no—
257#818—51no—
258#817C2×D511yescharacteristic, complemented
259#816—51no—
260#816—51no—
261#810—51no—
262#810—51no—
263#808C2×D511yescharacteristic, complemented
264#808C2×D511yescharacteristic, complemented
265#807—51no—
266#807—51no—
267C23×D5—31no—
268C22×C4×C5—31no—
269C22×C4×C5—61no—
270C22×C4×C5—61no—
271C22×Dic5—31no—
272C22×Dic5—61no—
273C22×Dic5—61no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—31no—
277C2×C4×D5—62no—
278C2×C4×D5—62no—
279C2×C4×D5C22×D311yescharacteristic
280C2×Dic10—31no—
281C2×Dic10—62no—
282C2×Dic10—62no—
283C2×Dic10—61no—
284C2×Dic10C22×D311yescharacteristic
285C2×C5×C8—31no—
286C2×C5×C8—62no—
287C2×C5×C8C22×D311yescharacteristic
288C5×C4⋊C4—31no—
289C5×C4⋊C4—31no—
290C5×C4⋊C4—61no—
291C5×C4⋊C4—61no—
292C5×C4⋊C4C22×D311yescharacteristic
293C5×C4⋊C4C22×D311yescharacteristic
294#685—21no—
295#685—21no—
296#685—61no—
297#685—61no—
298#685—61no—
299#685—61no—
300#685—61no—
301#685—61no—
302C4⋊Dic5—21no—
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308C4⋊Dic5C22×D311yescharacteristic
309C4×Dic5—21no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C4×Dic5—61no—
313C2×#168—31no—
314C2×#168—62no—
315C2×#168C22×D311yescharacteristic
316C2×C22⋊Q8—151no—
317C2×#117—151no—
318#485—51no—
319#485—151no—
320#485—151no—
321#485—151no—
322#485—151no—
323#485—151no—
324#485—151no—
325#485—151no—
326C2×#107—151no—
327C2×#106—31no—
328C2×#103—151no—
329C2×#103—151no—
330C2×C22⋊C8—151no—
331C22×C3×C5C22×D411yescharacteristic
332C2×D15—21no—
333C2×D15—21no—
334C2×D15—21no—
335C2×C5×D3#12312yes—
336C2×C5×D3#13512yes—
337C2×C5×D3#13712yes—
338C2×C3×D5—21no—
339C2×C3×D5—21no—
340C2×C3×D5—21no—
341D3×D5—44no—
342C3×C4×C5—41no—
343C3×C4×C5—41no—
344C3×C4×C5C2×#4111yescharacteristic
345C3×C4×C5C2×#4111yescharacteristic
346Dic15—21no—
347Dic15—41no—
348Dic15—41no—
349C3×Dic5—21no—
350C3×Dic5—41no—
351C3×Dic5—41no—
352C5×Dic3—41no—
353C5×Dic3—41no—
354C5×Dic3#12312yes—
355C23×D3—51no—
356C2×C3×Q8—51no—
357C22×C3×C4—51no—
358C22×Dic3—51no—
359D3×Q8—102no—
360D3×Q8—102no—
361C2×C4×D3—21no—
362C2×C4×D3—21no—
363C2×C4×D3—51no—
364C2×C4×D3—51no—
365C2×C4×D3—51no—
366C2×C4×D3—102no—
367C2×C4×D3—102no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3C22×D511yescharacteristic
371C2×Dic6—51no—
372C2×Dic6—101no—
373C2×C3×C8—51no—
374C2×C3×C8C22×D511yescharacteristic
375C3×C4⋊C4—51no—
376C3×C4⋊C4—101no—
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—101no—
380C3×C22⋊C4—101no—
381C3×C42—101no—
382#217—101no—
383#217—101no—
384(C2×D3)⋊C4—101no—
385(C2×D3)⋊C4—101no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388C4⋊Dic3—51no—
389C4⋊Dic3—101no—
390C4⋊Dic3C22×D511yescharacteristic
391C4⋊Dic3C22×D511yescharacteristic
392Dic3⋊C4—21no—
393Dic3⋊C4—21no—
394Dic3⋊C4—101no—
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397C4×Dic3—101no—
398C4×Dic3—101no—
399C4×Dic3—101no—
400C2×C3⋊C8—51no—
401C2×C3⋊C8C22×D511yescharacteristic
402D3×C8—22no—
403D3×C8—102no—
404C23×C5—31no—
405C22×D5—31no—
406C22×D5—62no—
407C22×D5—62no—
408C22×D5—62no—
409C22×D5D3×D411yescharacteristic
410C2×C4×C5—21no—
411C2×C4×C5—21no—
412C2×C4×C5—31no—
413C2×C4×C5—32no—
414C2×C4×C5—32no—
415C2×C4×C5—61no—
416C2×C4×C5—61no—
417C2×C4×C5—122no—
418C2×C4×C5—122no—
419C2×C4×C5C23×D311yescharacteristic
420C2×Dic5—21no—
421C2×Dic5—21no—
422C2×Dic5—31no—
423C2×Dic5—62no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5—122no—
427C2×Dic5—122no—
428C2×Dic5D3×D411yescharacteristic
429C4×D5—21no—
430C4×D5—21no—
431C4×D5—62no—
432C4×D5—62no—
433C4×D5—61no—
434C4×D5—61no—
435Dic10—21no—
436Dic10—21no—
437Dic10—61no—
438Dic10—61no—
439Dic10—122no—
440C5×C8—21no—
441C5×C8—61no—
442#168—21no—
443#168—61no—
444C22×Q8—151no—
445C23×C4—151no—
446C22×C8—31no—
447C22×C8—151no—
448C22⋊Q8—51no—
449C22⋊Q8—151no—
450C22⋊Q8—151no—
451C22⋊Q8—151no—
452C22⋊Q8—301no—
453C22⋊Q8—301no—
454#117—51no—
455#117—151no—
456#117—151no—
457#117—151no—
458#117—301no—
459#117—301no—
460C2×C4⋊C4—31no—
461C2×C4⋊C4—31no—
462C2×C4⋊C4—151no—
463C2×C4⋊C4—301no—
464C2×C22⋊C4—301no—
465C2×C22⋊C4—301no—
466C2×C42—301no—
467#107—51no—
468#107—151no—
469#107—151no—
470#107—151no—
471#106—31no—
472#106—31no—
473#106—31no—
474#106D3×D511yescharacteristic, complemented
475#103—51no—
476#103—51no—
477#103—151no—
478#103—151no—
479#103—151no—
480#103—151no—
481#103—151no—
482#103—151no—
483C22⋊C8—51no—
484C22⋊C8—151no—
485C22⋊C8—151no—
486C22⋊C8—151no—
487C2×C3×C5C2×#12311yescharacteristic
488C2×C3×C5C2×#13511yescharacteristic
489C2×C3×C5C2×#13711yescharacteristic
490D15—41no—
491C3×D5—41no—
492C5×D3#48514yescomplemented
493C23×C3—51no—
494C22×D3—51no—
495C22×D3—102no—
496C22×D3—102no—
497C22×D3—102no—
498C22×D3D4×D511yescharacteristic
499C3×Q8—101no—
500C3×Q8—101no—
501C2×C3×C4—21no—
502C2×C3×C4—21no—
503C2×C3×C4—51no—
504C2×C3×C4—101no—
505C2×C3×C4—101no—
506C2×C3×C4—101no—
507C2×C3×C4—101no—
508C2×C3×C4C23×D511yescharacteristic
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—51no—
512C2×Dic3—102no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3D4×D511yescharacteristic
516C4×D3—42no—
517C4×D3—42no—
518C4×D3—102no—
519C4×D3—101no—
520C4×D3—101no—
521C4×D3—102no—
522C4×D3—202no—
523C4×D3—202no—
524C4×D3#70912yes—
525C4×D3#71312yes—
526Dic6—101no—
527Dic6—101no—
528Dic6—202no—
529C3×C8—21no—
530C3×C8—101no—
531C3⋊C8—21no—
532C3⋊C8—101no—
533C22×C5—32no—
534C22×C5—32no—
535C22×C5—32no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—21no—
538C2×D5—21no—
539C2×D5—21no—
540C2×D5—61no—
541C2×D5—61no—
542C2×D5—61no—
543C2×D5—124no—
544C4×C5—32no—
545C4×C5—41no—
546C4×C5—41no—
547C4×C5—121no—
548C4×C5—121no—
549C4×C5D3×#4111yescharacteristic
550C4×C5D3×#4111yescharacteristic
551Dic5—21no—
552Dic5—41no—
553Dic5—41no—
554Dic5—61no—
555Dic5—121no—
556Dic5—121no—
557C24—151no—
558C2×Q8—51no—
559C2×Q8—151no—
560C2×Q8—301no—
561C2×Q8—302no—
562C2×Q8—302no—
563C22×C4—31no—
564C22×C4—51no—
565C22×C4—61no—
566C22×C4—61no—
567C22×C4—151no—
568C22×C4—151no—
569C22×C4—151no—
570C22×C4—151no—
571C22×C4—302no—
572C22×C4—302no—
573C22×C4—301no—
574C22×C4—301no—
575C2×C8—31no—
576C2×C8—51no—
577C2×C8—62no—
578C2×C8—151no—
579C2×C8—302no—
580C2×C8C2×D3×D511yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—51no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—101no—
587C4⋊C4—151no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C4⋊C4C2×D3×D511yescharacteristic
594C22⋊C4—101no—
595C22⋊C4—101no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—101no—
603C42—301no—
604C42—301no—
605C42—301no—
606C3×C5C2×#48511yescharacteristic, complemented, Hall
607C22×C3—101no—
608C22×C3—101no—
609C22×C3—101no—
610C22×C3C2×D4×D511yescharacteristic
611C2×D3—101no—
612C2×D3—101no—
613C2×D3—101no—
614C2×D3—204no—
615C2×D3#404012yes—
616C2×D3#406112yes—
617C2×D3#406212yes—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—101no—
621C3×C4—201no—
622C3×C4—201no—
623C3×C4C2×#70911yescharacteristic
624C3×C4C2×#71311yescharacteristic
625Dic3—41no—
626Dic3—41no—
627Dic3—101no—
628Dic3—201no—
629Dic3—201no—
630Dic3#404012yes—
631C2×C5—34no—
632C2×C5D3×#12311yescharacteristic
633C2×C5D3×#13511yescharacteristic
634C2×C5D3×#13711yescharacteristic
635D5—41no—
636D5—121no—
637C23—31no—
638C23—51no—
639C23—151no—
640C23—302no—
641C23—302no—
642C23—302no—
643Q8—101no—
644Q8—101no—
645Q8—301no—
646Q8—301no—
647Q8—602no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—31no—
651C2×C4—32no—
652C2×C4—32no—
653C2×C4—51no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—101no—
659C2×C4—101no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—151no—
663C2×C4—302no—
664C2×C4—302no—
665C2×C4—302no—
666C2×C4—301no—
667C2×C4—301no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—602no—
671C2×C4—602no—
672C2×C4C22×D3×D511yescharacteristic
673C8—21no—
674C8—61no—
675C8—101no—
676C8—301no—
677C2×C3—201no—
678C2×C3C2×#404011yescharacteristic
679C2×C3C2×#406111yescharacteristic
680C2×C3C2×#406211yescharacteristic
681D3—201no—
682D3#6515614yesdirect product factor
683C5D3×#48511yescharacteristic, complemented, Sylow
684C22—32no—
685C22—32no—
686C22—32no—
687C22—101no—
688C22—101no—
689C22—101no—
690C22—301no—
691C22—301no—
692C22—301no—
693C22—604no—
694C22D3×D4×D511yescharacteristic
695C4—32no—
696C4—41no—
697C4—41no—
698C4—101no—
699C4—121no—
700C4—121no—
701C4—201no—
702C4—201no—
703C4—301no—
704C4—601no—
705C4—601no—
706C4D3×#70911yescharacteristic
707C4D3×#71311yescharacteristic
708C3C2×#6515611yescharacteristic, complemented, Sylow
709C2—34no—
710C2—201no—
711C2—601no—
712C2D3×#404011yescharacteristic
713C2D3×#406111yescharacteristic
714C2D3×#406211yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC22×D3×D5D4
hypercenter#106D3×D5
hypocenterC3×C5C2×#485
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
3. #11750969C2semidirect
4. C5×D3×#106C2semidirect
5. C3×#65156C2semidirect
7. #11747688C2semidirect
8. #11747676C2semidirect
9. D3×#3948C2semidirect
10. D3×#3942C2semidirect
11. D3×#3939C2semidirect
12. #11747366C2semidirect
13. #11747212C2semidirect
14. #11747205C2semidirect
15. #11747171C2semidirect
40. C3×C5×#106C22semidirect
42. #91100C22semidirect
43. #91094C22semidirect
44. #91091C22semidirect
45. C5×#817C22semidirect
46. C5×#808C22semidirect
47. C5×#808C22semidirect
49. C3×#3948C22semidirect
50. C3×#3942C22semidirect
51. C3×#3939C22semidirect
52. #90989C22semidirect
53. #90988C22semidirect
54. #90975C22semidirect
55. #90974C22semidirect
56. #90971C22semidirect
57. #90970C22semidirect
75. #65156D3direct (N × H)
133. D3×#106D5semidirect
166. C5×#106C2×D3semidirect
174. #3948C2×D3semidirect
178. #3942C2×D3semidirect
182. #3939C2×D3semidirect
248. C3×#106C2×D5semidirect
258. #817C2×D5semidirect
263. #808C2×D5semidirect
264. #808C2×D5semidirect
474. #106D3×D5semidirect
492. C5×D3#485semidirect
606. C3×C5C2×#485semidirect
682. D3#65156direct (N × H)
683. C5D3×#485semidirect
708. C3C2×#65156semidirect

Maximal subgroups

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

subgroupindex
D3×#40432
D3×#40382
#117509692
C5×D3×#1062
C3×#651562
D3×#39522
#117476882
#117476762
D3×#39482
D3×#39422
D3×#39392
#117473662
#117472122
#117472052
#117471712
C2×#651563
D3×#4855