Finite Group Databasebeta

← D3×#65319 #14416432

Subgroups — D3×#65319 #14416432

Order 1920.

960 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×C5×D3×Q8C211yesmaximal, characteristic
2C2×D3×#689C211yesmaximal, characteristic
3C4×D3×Dic10C211yesmaximal, characteristic
4#11751131C211yesmaximal, characteristic, complemented
5C3×#65319C211yesmaximal, characteristic, complemented
6#11749260C211yesmaximal, characteristic, complemented
7#11749256C211yesmaximal, characteristic, complemented
8D3×#3967C211yesmaximal, characteristic
9D3×#3942C211yesmaximal, characteristic
10D3×#3940C211yesmaximal, characteristic
11#11747276C211yesmaximal, characteristic, complemented
12#11747267C211yesmaximal, characteristic, complemented
13#11747093C211yesmaximal, characteristic, complemented
14#11747089C211yesmaximal, characteristic, complemented
15D3×#3935C211yesmaximal, characteristic
16C2×#65319—31nomaximal, Hall
17C2×C5×D3×Q8C2211yescharacteristic
18C2×D3×Dic10C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C5×D3×C4⋊C4—21no—
24C5×D3×C4⋊C4C2211yescharacteristic
25C5×#887—21no—
26C5×#887C2211yescharacteristic
27C42×C5×D3—21no—
28C42×C5×D3C2211yescharacteristic
29C4×C5×Dic6—21no—
30C4×C5×Dic6C2211yescharacteristic
31C2×C3×#689C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33D3×#689C418yescomplemented
34C4×#1204—21no—
35D3×C4⋊Dic5C2211yescharacteristic
36D3×#683—21no—
37C4×D3×Dic5—21no—
38#91340C2211yescharacteristic
39Dic3×Dic10C2211yescharacteristic
40#91324—21no—
41C2×#6663C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×D3×#168C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45#91119C2211yescharacteristic
46#91094C2211yescharacteristic
47#91092C2211yescharacteristic
48#91087C2211yescharacteristic
49C3×#3967C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3940C2211yescharacteristic
52C3×#3935C2211yescharacteristic
53#90986C2211yescharacteristic
54#90985C2211yescharacteristic
55#90975C2211yescharacteristic
56#90973C2211yescharacteristic
57#90972C2211yescharacteristic
58#90970C2211yescharacteristic
59#90953C2211yescharacteristic
60#90953C2211yescharacteristic
61D3×#441—51nomaximal, Hall
62C2×C4×C5×Q8—31no—
63C22×#689—31no—
64C2×C4×Dic10—31no—
65C2×#3967—31no—
66#65319—31no—
67#65319—31no—
68#65319—31no—
69#65319—31no—
70#65319—31no—
71#65319—31no—
72#65319—31no—
73#65319D311yescharacteristic, direct product factor
74C2×#3942—31no—
75C2×#3940—31no—
76C2×#3935—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C5×D3×Q8—22no—
80C5×D3×Q8C2×C414yes—
81C2×C4×C5×D3—21no—
82C2×C4×C5×D3—21no—
83C2×C4×C5×D3D411yescharacteristic
84C2×C4×C5×D3D411yescharacteristic
85C2×C4×C5×D3C2311yescharacteristic
86C2×C5×Dic6—21no—
87C2×C5×Dic6C2311yescharacteristic
88C2×C3×Dic10C2311yescharacteristic
89C2×#1204—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92D3×Dic10—22no—
93D3×Dic10C2×C414yes—
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C42×C5—21no—
97C3×C42×C5C2311yescharacteristic
98#6718C2×C414yescomplemented
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102C2×C3⋊#168C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×C4⋊Dic3—21no—
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C5×Dic3⋊C4—21no—
108C5×Dic3⋊C4—21no—
109C4×C5×Dic3—21no—
110C4×C5×Dic3—21no—
111C4×C5×Dic3—21no—
112C4×C5×Dic3D411yescharacteristic
113C4×C5×Dic3D411yescharacteristic
114C4×C5×Dic3C2311yescharacteristic
115C3×#689C2×C414yescomplemented
116C3×C4⋊Dic5C2311yescharacteristic
117C3×#683—21no—
118C3×C4×Dic5—21no—
119C2×C3×#168C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121Dic3⋊Dic5—21no—
122#6669—21no—
123#6668—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6663C2×C414yescomplemented
127#6661C2×C414yescomplemented
128D3×#168—22no—
129D3×#168C2×C414yes—
130C2×D3×Q16—51no—
131C4×D3×Q8—51no—
132C4×D3×Q8D511yescharacteristic
133C3×#441—51no—
134#5184—51no—
135#5030—51no—
136#5030—51no—
137D3×#106—51no—
138#4853—51no—
139D3×#103—51no—
140D3×#103—51no—
141#4789—51no—
142#4789—51no—
143#4716—51no—
144D3×#97—51no—
145C22×C5×Q8—31no—
146C22×Dic10—31no—
147C4×C5×Q8—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150C4×C5×Q8—61no—
151C4×C5×Q8—61no—
152C4×C5×Q8C2×D311yescharacteristic
153C2×C5×C4⋊C4—31no—
154C2×C5×C4⋊C4—61no—
155C2×C42×C5—31no—
156C2×C42×C5—61no—
157C2×#689—31no—
158C2×#689—31no—
159C2×#689—38no—
160C2×#689—31no—
161C2×#689C2×D311yescharacteristic
162C2×C4⋊Dic5—31no—
163C2×#683—61no—
164C2×C4×Dic5—61no—
165C22×#168—31no—
166C22×#168—31no—
167C4×Dic10—31no—
168C4×Dic10—31no—
169C4×Dic10—31no—
170C4×Dic10—61no—
171C4×Dic10—61no—
172C4×Dic10C2×D311yescharacteristic
173#3967—31no—
174#3967—31no—
175#3967—31no—
176#3967C2×D311yescharacteristic
177#3942—31no—
178#3942—31no—
179#3942—31no—
180#3942C2×D311yescharacteristic
181#3940—31no—
182#3940—31no—
183#3940—31no—
184#3940C2×D311yescharacteristic
185#3935—31no—
186#3935—31no—
187#3935—31no—
188#3935C2×D311yescharacteristic
189C2×#441—151noSylow
190C22×C5×D3C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8C22×C412yes—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199C2×Dic15—21no—
200Dic30—21no—
201Dic30C22×C412yes—
202C2×C5×Dic3—21no—
203C2×C5×Dic3—21no—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C4×C5×D3—24no—
208C4×C5×D3—22no—
209C4×C5×D3—22no—
210C4×C5×D3—42no—
211C4×C5×D3C22×C412yes—
212C4×C5×D3#4112yes—
213C5×Dic6—21no—
214C5×Dic6—24no—
215C5×Dic6C22×C412yes—
216C2×C3×Dic5—21no—
217C2×C3×Dic5—21no—
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221D3×Dic5—24no—
222D3×Dic5—42no—
223C3⋊#168—21no—
224C3⋊#168C22×C412yes—
225C3×#168—21no—
226C3×#168C22×C412yes—
227C2×D3×Q8—51no—
228C2×D3×Q8C2×D511yescharacteristic
229C2×C3×Q16—51no—
230C3×C4×Q8—51no—
231C3×C4×Q8C2×D511yescharacteristic
232Q8×Dic3—51no—
233Q8×Dic3C2×D511yescharacteristic
234C2×#216—51no—
235C2×#216—51no—
236D3×Q16—58no—
237C2×Dic12—51no—
238C2×D3×C8—51no—
239C2×D3×C8—51no—
240D3×C4⋊C4—21no—
241D3×C4⋊C4—51no—
242D3×C4⋊C4—101no—
243D3×C4⋊C4C2×D511yescharacteristic
244#887—21no—
245#887—51no—
246#887—101no—
247#887C2×D511yescharacteristic
248C42×D3—21no—
249C42×D3—101no—
250C42×D3C2×D511yescharacteristic
251C4×Dic6—21no—
252C4×Dic6—51no—
253C4×Dic6—101no—
254C4×Dic6C2×D511yescharacteristic
255C3×#106—51no—
256C3×#103—51no—
257C3×#103—51no—
258C3×#97—51no—
259#835—51no—
260#835—51no—
261#817—51no—
262#816—51no—
263#816—51no—
264#815—51no—
265#815—51no—
266#810—51no—
267#810—51no—
268#808—51no—
269#808—51no—
270#803—51no—
271C2×C5×Q8—34no—
272C2×C5×Q8—31no—
273C2×C5×Q8—61no—
274C2×C5×Q8—62no—
275C2×C5×Q8C22×D311yescharacteristic
276C22×C4×C5—31no—
277C22×C4×C5—31no—
278C22×C4×C5—31no—
279C22×C4×C5—61no—
280C22×C4×C5—61no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283C2×Dic10—31no—
284C2×Dic10—34no—
285C2×Dic10—62no—
286C2×Dic10—61no—
287C2×Dic10C22×D311yescharacteristic
288C5×C4⋊C4—21no—
289C5×C4⋊C4—31no—
290C5×C4⋊C4—61no—
291C5×C4⋊C4—61no—
292C5×C4⋊C4—61no—
293C5×C4⋊C4—61no—
294C5×C4⋊C4C22×D311yescharacteristic
295C42×C5—21no—
296C42×C5—31no—
297C42×C5—31no—
298C42×C5—31no—
299C42×C5—61no—
300C42×C5—61no—
301C42×C5—61no—
302C42×C5C22×D311yescharacteristic
303#689—34no—
304#689—34no—
305#689—34no—
306#689C4×D314yescomplemented
307C4⋊Dic5—31no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310#683—21no—
311#683—61no—
312#683—61no—
313#683—61no—
314C4×Dic5—21no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C2×#168—31no—
319C2×#168—34no—
320C2×#168—31no—
321C2×#168—62no—
322C2×#168C22×D311yescharacteristic
323C2×#168C22×D311yescharacteristic
324C22×Q16—151no—
325C2×C4×Q8—31no—
326C2×C4×Q8—151no—
327#441—51no—
328#441—151no—
329#441—151no—
330#441—151no—
331#441—151no—
332#441—151no—
333#441—151no—
334#441—151no—
335C2×#106—151no—
336C2×#103—151no—
337C2×#103—151no—
338C2×#97—151no—
339C22×C3×C5C22×D411yescharacteristic
340C2×C5×D3C4×D412yes—
341C2×C5×D3#13712yes—
342C2×C5×D3#13712yes—
343C3×C4×C5—22no—
344C3×C4×C5—21no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5C23×C411yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—22no—
350Dic15—41no—
351C3×Dic5—22no—
352C3×Dic5—41no—
353C5×Dic3—22no—
354C5×Dic3—21no—
355C5×Dic3—21no—
356C5×Dic3—41no—
357C5×Dic3C4×D412yes—
358C2×C3×Q8—51no—
359C2×C3×Q8C22×D511yescharacteristic
360D3×Q8—22no—
361D3×Q8—54no—
362D3×Q8—102no—
363D3×Q8C4×D514yes—
364C2×C4×D3—21no—
365C2×C4×D3—21no—
366C2×C4×D3—101no—
367C2×C4×D3—101no—
368C2×C4×D3C22⋊D511yescharacteristic
369C2×C4×D3C22⋊D511yescharacteristic
370C2×C4×D3C22×D511yescharacteristic
371C2×Dic6—21no—
372C2×Dic6—51no—
373C2×Dic6—101no—
374C2×Dic6C22×D511yescharacteristic
375C3×Q16—54no—
376C2×C3×C8—51no—
377C2×C3×C8—51no—
378C3×C4⋊C4—21no—
379C3×C4⋊C4—51no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4C22×D511yescharacteristic
382C3×C42—21no—
383C3×C42—101no—
384C3×C42C22×D511yescharacteristic
385#216—54no—
386#216—54no—
387C4⋊Dic3—21no—
388C4⋊Dic3—51no—
389C4⋊Dic3—101no—
390C4⋊Dic3C22×D511yescharacteristic
391Dic3⋊C4—21no—
392Dic3⋊C4—21no—
393Dic3⋊C4—21no—
394Dic3⋊C4—101no—
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397C4×Dic3—21no—
398C4×Dic3—21no—
399C4×Dic3—21no—
400C4×Dic3—101no—
401C4×Dic3—101no—
402C4×Dic3—101no—
403C4×Dic3C22⋊D511yescharacteristic
404C4×Dic3C22⋊D511yescharacteristic
405C4×Dic3C22×D511yescharacteristic
406C2×C3⋊C8—51no—
407C2×C3⋊C8—51no—
408Dic12—54no—
409D3×C8—54no—
410D3×C8—102no—
411C23×C5—31no—
412C5×Q8—21no—
413C5×Q8—32no—
414C5×Q8—64no—
415C5×Q8—61no—
416C5×Q8C2×C4×D312yes—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—31no—
420C2×C4×C5—32no—
421C2×C4×C5—32no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—62no—
425C2×C4×C5—62no—
426C2×C4×C5—64no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5—122no—
430C2×C4×C5D3×D411yescharacteristic
431C2×C4×C5D3×D411yescharacteristic
432C2×C4×C5C23×D311yescharacteristic
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—64no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438C2×Dic5—122no—
439Dic10—21no—
440Dic10—32no—
441Dic10—64no—
442Dic10—61no—
443Dic10C2×C4×D312yes—
444#168—21no—
445#168—32no—
446#168—61no—
447#168C2×C4×D312yes—
448C22×Q8—31no—
449C22×Q8—151no—
450C2×Q16—51no—
451C2×Q16—151no—
452C2×Q16—158no—
453C2×Q16—151no—
454C2×Q16—151no—
455C22×C8—151no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—31no—
459C4×Q8—31no—
460C4×Q8—51no—
461C4×Q8—61no—
462C4×Q8—61no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—301no—
467C4×Q8—301no—
468C4×Q8D3×D511yescharacteristic
469C2×C4⋊C4—31no—
470C2×C4⋊C4—61no—
471C2×C4⋊C4—151no—
472C2×C4⋊C4—301no—
473C2×C42—31no—
474C2×C42—61no—
475C2×C42—301no—
476#106—51no—
477#106—151no—
478#106—151no—
479#106—151no—
480#103—51no—
481#103—51no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#103—151no—
487#103—151no—
488#97—51no—
489#97—151no—
490#97—151no—
491#97—151no—
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5C2×#13711yescharacteristic
494C2×C3×C5C2×#13711yescharacteristic
495C5×D3#44114yescomplemented
496C22×D3C2×C22⋊D511yescharacteristic
497C3×Q8—21no—
498C3×Q8—52no—
499C3×Q8—101no—
500C3×Q8C2×C4×D512yes—
501C2×C3×C4—21no—
502C2×C3×C4—21no—
503C2×C3×C4—101no—
504C2×C3×C4—101no—
505C2×C3×C4C2×C22⋊D511yescharacteristic
506C2×C3×C4C2×C22⋊D511yescharacteristic
507C2×C3×C4C23×D511yescharacteristic
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—101no—
511C2×Dic3—101no—
512C2×Dic3C2×C22⋊D511yescharacteristic
513C2×Dic3C2×C22⋊D511yescharacteristic
514C2×Dic3C2×C22⋊D511yescharacteristic
515C4×D3—22no—
516C4×D3—24no—
517C4×D3—22no—
518C4×D3—42no—
519C4×D3—104no—
520C4×D3—202no—
521C4×D3C2×C4×D512yes—
522C4×D3#70912yes—
523Dic6—21no—
524Dic6—24no—
525Dic6—52no—
526Dic6—101no—
527Dic6—104no—
528Dic6C2×C4×D512yes—
529C3×C8—52no—
530C3×C8—101no—
531C3⋊C8—52no—
532C3⋊C8—101no—
533C22×C5—32no—
534C22×C5—32no—
535C22×C5—32no—
536C22×C5C2×D3×D411yescharacteristic
537C4×C5—21no—
538C4×C5—21no—
539C4×C5—22no—
540C4×C5—32no—
541C4×C5—41no—
542C4×C5—61no—
543C4×C5—61no—
544C4×C5—62no—
545C4×C5—121no—
546C4×C5C22×C4×D311yescharacteristic
547C4×C5D3×#4111yescharacteristic
548Dic5—22no—
549Dic5—41no—
550Dic5—62no—
551Dic5—121no—
552C2×Q8—34no—
553C2×Q8—31no—
554C2×Q8—51no—
555C2×Q8—61no—
556C2×Q8—62no—
557C2×Q8—154no—
558C2×Q8—151no—
559C2×Q8—301no—
560C2×Q8—302no—
561C2×Q8C2×D3×D511yescharacteristic
562C22×C4—31no—
563C22×C4—31no—
564C22×C4—31no—
565C22×C4—61no—
566C22×C4—61no—
567C22×C4—301no—
568C22×C4—301no—
569Q16—54no—
570Q16—154no—
571Q16—154no—
572Q16—154no—
573C2×C8—51no—
574C2×C8—51no—
575C2×C8—154no—
576C2×C8—151no—
577C2×C8—151no—
578C2×C8—302no—
579C4⋊C4—21no—
580C4⋊C4—31no—
581C4⋊C4—51no—
582C4⋊C4—61no—
583C4⋊C4—61no—
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
593C42—21no—
594C42—31no—
595C42—31no—
596C42—31no—
597C42—61no—
598C42—61no—
599C42—61no—
600C42—101no—
601C42—301no—
602C42—301no—
603C42—301no—
604C42C2×D3×D511yescharacteristic
605C3×C5C2×#44111yescharacteristic, complemented, Hall
606C22×C3C22×C22⋊D511yescharacteristic
607C2×D3C4×C22⋊D512yes—
608C2×D3#408812yes—
609C2×D3#409712yes—
610C3×C4—22no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—41no—
614C3×C4—102no—
615C3×C4—201no—
616C3×C4C22×C4×D511yescharacteristic
617C3×C4C2×#70911yescharacteristic
618Dic3—22no—
619Dic3—21no—
620Dic3—21no—
621Dic3—41no—
622Dic3—102no—
623Dic3—201no—
624Dic3C4×C22⋊D512yes—
625C2×C5—34no—
626C2×C5C4×D3×D411yescharacteristic
627C2×C5D3×#13711yescharacteristic
628C2×C5D3×#13711yescharacteristic
629C23—31no—
630Q8—21no—
631Q8—32no—
632Q8—52no—
633Q8—64no—
634Q8—61no—
635Q8—101no—
636Q8—152no—
637Q8—304no—
638Q8—301no—
639Q8C4×D3×D512yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—32no—
644C2×C4—32no—
645C2×C4—31no—
646C2×C4—31no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—64no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—101no—
653C2×C4—101no—
654C2×C4—122no—
655C2×C4—304no—
656C2×C4—301no—
657C2×C4—301no—
658C2×C4—602no—
659C2×C4D3×C22⋊D511yescharacteristic
660C2×C4D3×C22⋊D511yescharacteristic
661C2×C4C22×D3×D511yescharacteristic
662C8—52no—
663C8—101no—
664C8—152no—
665C8—301no—
666C2×C3C2×C4×C22⋊D511yescharacteristic
667C2×C3C2×#408811yescharacteristic
668C2×C3C2×#409711yescharacteristic
669D3#6531914yesdirect product factor
670C5D3×#44111yescharacteristic, complemented, Sylow
671C22—32no—
672C22—32no—
673C22—32no—
674C22C2×D3×C22⋊D511yescharacteristic
675C4—21no—
676C4—21no—
677C4—22no—
678C4—32no—
679C4—41no—
680C4—61no—
681C4—61no—
682C4—62no—
683C4—102no—
684C4—121no—
685C4—201no—
686C4—302no—
687C4—601no—
688C4C2×C4×D3×D511yescharacteristic
689C4D3×#70911yescharacteristic
690C3C2×#6531911yescharacteristic, complemented, Sylow
691C2—34no—
692C2C4×D3×C22⋊D511yescharacteristic
693C2D3×#408811yescharacteristic
694C2D3×#409711yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC22×C5×D3C2×D4
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5C2×#441
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
4. #11751131C2semidirect
5. C3×#65319C2semidirect
6. #11749260C2semidirect
7. #11749256C2semidirect
11. #11747276C2semidirect
12. #11747267C2semidirect
13. #11747093C2semidirect
14. #11747089C2semidirect
33. D3×#689C4semidirect
73. #65319D3direct (N × H)
98. #6718C2×C4semidirect
115. C3×#689C2×C4semidirect
126. #6663C2×C4semidirect
127. #6661C2×C4semidirect
306. #689C4×D3semidirect
495. C5×D3#441semidirect
605. C3×C5C2×#441semidirect
669. D3#65319direct (N × H)
670. C5D3×#441semidirect
690. C3C2×#65319semidirect

Maximal subgroups

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

subgroupindex
C4×C5×D3×Q82
C2×D3×#6892
C4×D3×Dic102
#117511312
C3×#653192
#117492602
#117492562
D3×#39672
D3×#39422
D3×#39402
#117472762
#117472672
#117470932
#117470892
D3×#39352
C2×#653193
D3×#4415