Finite Group Databasebeta

← #14321194

Subgroups — #14321194

Order 1920.

1872 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6771C211yesmaximal, characteristic
2C2×C42×C5×D3C211yesmaximal, characteristic, complemented
3C2×#91371C211yesmaximal, characteristic, complemented
4C4×#6714C211yesmaximal, characteristic, complemented
5C3×C4×#685C211yesmaximal, characteristic, complemented
6#11748934C212yesmaximal, complemented
7#11748914C212yesmaximal, complemented
8#11748912C212yesmaximal, complemented
9#11748910C212yesmaximal, complemented
10C4×#6667C211yesmaximal, characteristic, complemented
11C4×#6665C211yesmaximal, characteristic, complemented
12#10613801—31nomaximal, Hall
13C22×C4×D15C2211yescharacteristic
14C22×C4×C5×D3C2212yes—
15C22×C4×C5×D3C2211yescharacteristic
16C22×C3×C4×D5C2211yescharacteristic
17C22×#1204C2211yescharacteristic
18C22×#1203C2211yescharacteristic
19C22×#1202C2211yescharacteristic
20C22×#1201C2211yescharacteristic
21C2×#6771—24no—
22C2×#6771—24no—
23C2×#6771C418yescomplemented
24C2×C3×C42×C5C2211yescharacteristic
25C2×#6714C2212yes—
26C2×C4×Dic15C2211yescharacteristic
27C2×C4×C5×Dic3C2212yes—
28C2×C4×C5×Dic3C2211yescharacteristic
29C42×C5×D3—24no—
30C2×C3×#685C2212yes—
31C2×C3×C4×Dic5C2211yescharacteristic
32C2×Dic3⋊Dic5C2212yes—
33C2×#6667C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×#6665C2212yes—
36#91371—24no—
37#91115C2212yes—
38C3×#3963C2212yes—
39#90994C2212yes—
40#90994C2212yes—
41#73563—51nomaximal, Hall
42C22×#709—31no—
43C22×C42×C5—31no—
44C2×#4072—31no—
45#65502—32no—
46#65502—32no—
47#65228—32no—
48C4×#685—31no—
49C4×#685—31no—
50C4×#685—31no—
51C4×#685D311yescharacteristic, complemented
52#65218—32no—
53C23×D15C2311yescharacteristic
54C23×C5×D3C2311yescharacteristic
55C23×C3×D5C2311yescharacteristic
56C22×C3×C4×C5C2312yes—
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15C2312yes—
59C22×Dic15C2311yescharacteristic
60C2×C4×D15—22no—
61C2×C4×D15—22no—
62C2×C4×D15C2×C414yescomplemented
63C22×C5×Dic3C2312yes—
64C22×C5×Dic3C2311yescharacteristic
65C2×C4×C5×D3—24no—
66C2×C4×C5×D3—24no—
67C2×C4×C5×D3—24no—
68C2×C4×C5×D3C2×C414yes—
69C2×C4×C5×D3D414yes—
70C2×C4×C5×D3D414yes—
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2311yescharacteristic
73C2×C3×C4×D5—22no—
74C2×C3×C4×D5—22no—
75C2×C3×C4×D5C2×C414yescomplemented
76C2×#1204—22no—
77C2×#1204—22no—
78C2×#1204C2×C414yescomplemented
79C2×#1203—22no—
80C2×#1203—22no—
81C2×#1203C2×C414yes—
82C2×#1202—22no—
83C2×#1202—22no—
84C2×#1202C2×C414yescomplemented
85C2×#1201—22no—
86C2×#1201—22no—
87C2×#1201C2×C414yes—
88#6771—232no—
89C3×C42×C5—22no—
90#6714—24no—
91C4×Dic15—22no—
92C4×C5×Dic3—22no—
93C4×C5×Dic3—24no—
94C3×#685—24no—
95C3×C4×Dic5—22no—
96Dic3⋊Dic5—24no—
97#6667—24no—
98(C2×D3)⋊Dic5—24no—
99#6665—24no—
100C22×#235—51no—
101C2×#872—51no—
102C2×C42×D3D511yescharacteristic, complemented
103C3×C4×C22⋊C4—51no—
104C4×#217—51no—
105#4957—52no—
106#4956—52no—
107C4×(C2×D3)⋊C4—51no—
108C4×(C2×D3)⋊C4—51no—
109#4665—52no—
110#4646—52no—
111C23×C4×C5—31no—
112C23×C4×C5—32no—
113C22×C22⋊D5—31no—
114C22×C22⋊D5—31no—
115C2×#709—38no—
116C2×#709—64no—
117C2×#709—64no—
118C22×D20—31no—
119C22×C4×D5—31no—
120C22×C4×D5C2×D311yescharacteristic
121C22×Dic10—31no—
122C2×C42×C5—32no—
123C2×C42×C5—31no—
124C2×C42×C5—64no—
125C2×C42×C5C2×D311yescharacteristic
126C2×C22⋊Dic5—32no—
127C2×#685—32no—
128C2×#685—32no—
129C2×#685—32no—
130C2×#685C2×D312yes—
131#4072—64no—
132C2×C4⋊Dic5—32no—
133C2×C4×Dic5—31no—
134C2×C4×Dic5C2×D311yescharacteristic
135#3963—32no—
136#3963—32no—
137#3963—32no—
138#3963C2×D312yes—
139#2297—151noSylow
140C23×C3×C5C2411yescharacteristic
141C22×D15—21no—
142C22×D15—21no—
143C22×D15—22no—
144C22×D15—22no—
145C22×D15C22×C412yes—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3C22×C412yes—
149C22×C5×D3C2×D412yes—
150C22×C5×D3C2×D412yes—
151C22×C3×D5—21no—
152C22×C3×D5—21no—
153C22×C3×D5—22no—
154C22×C3×D5—22no—
155C22×C3×D5C22×C412yes—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5C22×C412yes—
159C2×C3×C4×C5C2×D412yes—
160C2×C3×C4×C5C2×D412yes—
161C2×C3×C4×C5#4114yescomplemented
162C2×Dic15—21no—
163C2×Dic15—21no—
164C2×Dic15—22no—
165C2×Dic15—22no—
166C2×Dic15—22no—
167C2×Dic15C22×C412yes—
168C4×D15—28no—
169C2×C5×Dic3—22no—
170C2×C5×Dic3—22no—
171C2×C5×Dic3C22×C412yes—
172C2×C5×Dic3C2×D412yes—
173C2×C5×Dic3C2×D412yes—
174C2×C5×Dic3#4114yescomplemented
175C4×C5×D3—216no—
176C4×C5×D3C22⋊C4116yescomplemented
177C2×C3×Dic5—21no—
178C2×C3×Dic5—21no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5—22no—
181C2×C3×Dic5—22no—
182C2×C3×Dic5C22×C412yes—
183C3×C4×D5—28no—
184#1204—28no—
185#1203—28no—
186#1202—28no—
187#1201—28no—
188C23×C3×C4—51no—
189C22×#67—51no—
190C22×#67—51no—
191C2×#235—58no—
192C2×#235—104no—
193C2×#235—104no—
194C22×D12—51no—
195C22×C4×D3—51no—
196C22×C4×D3C2×D512yes—
197C22×C4×D3C2×D511yescharacteristic
198C22×Dic6—51no—
199C2×C3×C22⋊C4—52no—
200C2×C3×C42—51no—
201C2×C3×C42C2×D511yescharacteristic
202C2×#217—52no—
203C2×(C2×D3)⋊C4—52no—
204C2×(C2×D3)⋊C4—52no—
205C2×(C2×D3)⋊C4—52no—
206C2×Dic3⋊C4—52no—
207C2×C4×Dic3—51no—
208C2×C4×Dic3C2×D512yes—
209C2×C4×Dic3C2×D511yescharacteristic
210#872—104no—
211C42×D3—24no—
212C3×#95—52no—
213C3⋊#95—52no—
214C3⋊#95—52no—
215C3⋊#95—52no—
216C24×C5—31no—
217C23×D5—31no—
218C23×D5C22×D311yescharacteristic
219C22×C4×C5—31no—
220C22×C4×C5—34no—
221C22×C4×C5—34no—
222C22×C4×C5—34no—
223C22×C4×C5—32no—
224C22×C4×C5—64no—
225C22×C4×C5—64no—
226C22×C4×C5—64no—
227C22×C4×C5C22×D312yes—
228C22×C4×C5C22×D311yescharacteristic
229C2×C22⋊D5—34no—
230C2×C22⋊D5—34no—
231C2×C22⋊D5—62no—
232C2×C22⋊D5—62no—
233C2×C22⋊D5—62no—
234C2×C22⋊D5—62no—
235C22×Dic5—31no—
236C22×Dic5—32no—
237C22×Dic5C22×D312yes—
238C22×Dic5C22×D311yescharacteristic
239#709—632no—
240C2×D20—34no—
241C2×D20—62no—
242C2×D20—62no—
243C2×C4×D5—22no—
244C2×C4×D5—22no—
245C2×C4×D5—34no—
246C2×C4×D5—62no—
247C2×C4×D5—62no—
248C2×C4×D5C4×D314yescomplemented
249C2×Dic10—34no—
250C2×Dic10—62no—
251C2×Dic10—62no—
252C42×C5—22no—
253C42×C5—64no—
254C42×C5—62no—
255C22⋊Dic5—64no—
256#685—24no—
257#685—64no—
258#685—64no—
259#685—64no—
260C4⋊Dic5—64no—
261C4×Dic5—22no—
262C4×Dic5—62no—
263C22×#41—151no—
264C2×#117—151no—
265C22×C42—31no—
266#391—152no—
267#390—152no—
268#386—152no—
269#386—152no—
270C4×C22⋊C4—51no—
271C4×C22⋊C4—151no—
272C4×C22⋊C4—151no—
273C4×C22⋊C4—151no—
274C22×C3×C5C23×C411yescharacteristic
275C22×C3×C5C22×D411yescharacteristic
276C22×C3×C5C22×D411yescharacteristic
277C22×C3×C5C2×#4112yes—
278C22×C3×C5C2×#4112yes—
279C2×D15—22no—
280C2×D15—22no—
281C2×D15—22no—
282C2×D15—42no—
283C2×D15—42no—
284C2×C5×D3—22no—
285C2×C5×D3—22no—
286C2×C5×D3—24no—
287C2×C5×D3—24no—
288C2×C5×D3C2×C22⋊C414yes—
289C2×C3×D5—22no—
290C2×C3×D5—22no—
291C2×C3×D5—22no—
292C2×C3×D5—42no—
293C2×C3×D5—42no—
294C3×C4×C5—24no—
295C3×C4×C5C2×C22⋊C414yes—
296Dic15—22no—
297Dic15—42no—
298C3×Dic5—22no—
299C3×Dic5—42no—
300C5×Dic3—24no—
301C5×Dic3C2×C22⋊C414yes—
302C24×C3—51no—
303C23×D3—51no—
304C23×D3C22×D511yescharacteristic
305C22×C3×C4—51no—
306C22×C3×C4—54no—
307C22×C3×C4—52no—
308C22×C3×C4—102no—
309C22×C3×C4—102no—
310C22×C3×C4C22×D512yes—
311C22×C3×C4C22×D511yescharacteristic
312C2×#67—54no—
313C2×#67—54no—
314C2×#67—102no—
315C2×#67—102no—
316C2×#67—102no—
317C2×#67—102no—
318C22×Dic3—51no—
319C22×Dic3—52no—
320C22×Dic3C22×D512yes—
321C22×Dic3C22×D511yescharacteristic
322#235—1032no—
323C2×D12—54no—
324C2×D12—102no—
325C2×D12—102no—
326C2×C4×D3—24no—
327C2×C4×D3—24no—
328C2×C4×D3—24no—
329C2×C4×D3—54no—
330C2×C4×D3—102no—
331C2×C4×D3—102no—
332C2×C4×D3C4×D514yes—
333C2×C4×D3D2014yes—
334C2×C4×D3C22⋊D514yes—
335C2×Dic6—54no—
336C2×Dic6—102no—
337C2×Dic6—102no—
338C3×C22⋊C4—104no—
339C3×C42—22no—
340C3×C42—102no—
341#217—104no—
342(C2×D3)⋊C4—104no—
343(C2×D3)⋊C4—104no—
344(C2×D3)⋊C4—104no—
345Dic3⋊C4—104no—
346C4×Dic3—22no—
347C4×Dic3—24no—
348C4×Dic3—102no—
349C23×C5—32no—
350C23×C5—32no—
351C23×C5—32no—
352C23×C5—62no—
353C23×C5—62no—
354C23×C5C23×D311yescharacteristic
355C22×D5—22no—
356C22×D5—21no—
357C22×D5—21no—
358C22×D5—22no—
359C22×D5—32no—
360C22×D5—62no—
361C22×D5—61no—
362C22×D5—61no—
363C22×D5—62no—
364C22×D5C2×C4×D312yes—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—32no—
368C2×C4×C5—32no—
369C2×C4×C5—32no—
370C2×C4×C5—316no—
371C2×C4×C5—34no—
372C2×C4×C5—616no—
373C2×C4×C5—62no—
374C2×C4×C5—62no—
375C2×C4×C5C2×C4×D312yes—
376C2×C4×C5#23514yescomplemented
377C2×C4×C5D3×D412yes—
378C2×C4×C5D3×D412yes—
379C22⋊D5—68no—
380C22⋊D5—68no—
381C2×Dic5—21no—
382C2×Dic5—21no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—32no—
387C2×Dic5—61no—
388C2×Dic5—61no—
389C2×Dic5—62no—
390C2×Dic5—62no—
391C2×Dic5—62no—
392C2×Dic5C2×C4×D312yes—
393D20—68no—
394C4×D5—28no—
395C4×D5—68no—
396Dic10—68no—
397C2×#41—158no—
398C2×#41—304no—
399C2×#41—304no—
400C22×Q8—151no—
401C22×D4—151no—
402C22×D4—151no—
403C22×D4—151no—
404C23×C4—31no—
405C23×C4—32no—
406C23×C4—51no—
407C23×C4—151no—
408#117—304no—
409C2×C4⋊C4—152no—
410C2×C22⋊C4—52no—
411C2×C22⋊C4—152no—
412C2×C22⋊C4—152no—
413C2×C22⋊C4—152no—
414C2×C22⋊C4—152no—
415C2×C42—32no—
416C2×C42—31no—
417C2×C42—51no—
418C2×C42—64no—
419C2×C42—151no—
420C2×C42D3×D511yescharacteristic
421#95—52no—
422#95—152no—
423#95—152no—
424#95—152no—
425C2×C3×C5C22×C22⋊C411yescharacteristic
426C2×C3×C5C4×#4111yescharacteristic
427C2×C3×C5C4×#4111yescharacteristic
428C2×C3×C5#52512yes—
429C2×C3×C5#53212yes—
430D15—42no—
431C3×D5—42no—
432C5×D3—24no—
433C23×C3—52no—
434C23×C3—101no—
435C23×C3—102no—
436C23×C3—102no—
437C23×C3—101no—
438C23×C3C23×D511yescharacteristic
439C22×D3—22no—
440C22×D3—22no—
441C22×D3—52no—
442C22×D3—101no—
443C22×D3—102no—
444C22×D3—102no—
445C22×D3—101no—
446C22×D3C2×C4×D512yes—
447C22×D3C2×D2012yes—
448C22×D3C2×C22⋊D512yes—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—52no—
452C2×C3×C4—101no—
453C2×C3×C4—101no—
454C2×C3×C4—108no—
455C2×C3×C4—102no—
456C2×C3×C4—102no—
457C2×C3×C4—102no—
458C2×C3×C4C2×C4×D512yes—
459C2×C3×C4C2×D2012yes—
460C2×C3×C4#70914yescomplemented
461C2×C3×C4C2×C22⋊D512yes—
462#67—108no—
463#67—108no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—52no—
467C2×Dic3—101no—
468C2×Dic3—101no—
469C2×Dic3—102no—
470C2×Dic3—102no—
471C2×Dic3—102no—
472C2×Dic3C2×C4×D512yes—
473C2×Dic3C2×D2012yes—
474C2×Dic3#70914yescomplemented
475C2×Dic3C2×C22⋊D512yes—
476D12—108no—
477C4×D3—216no—
478C4×D3—108no—
479C4×D3#685116yescomplemented
480Dic6—108no—
481C22×C5—34no—
482C22×C5—62no—
483C22×C5—62no—
484C22×C5—64no—
485C22×C5—64no—
486C22×C5C22×C4×D311yescharacteristic
487C22×C5C2×#23512yes—
488C22×C5C2×D3×D411yescharacteristic
489C22×C5C2×D3×D411yescharacteristic
490C22×C5D3×#4112yes—
491C2×D5—22no—
492C2×D5—22no—
493C2×D5—22no—
494C2×D5—42no—
495C2×D5—42no—
496C2×D5—62no—
497C2×D5—62no—
498C2×D5—62no—
499C2×D5—122no—
500C2×D5—122no—
501C4×C5—24no—
502C4×C5—34no—
503C4×C5—64no—
504C4×C5D3×C22⋊C414yes—
505Dic5—22no—
506Dic5—42no—
507Dic5—62no—
508Dic5—122no—
509C24—31no—
510C24—51no—
511C24—151no—
512#41—3032no—
513C2×Q8—154no—
514C2×Q8—302no—
515C2×Q8—302no—
516C2×D4—154no—
517C2×D4—154no—
518C2×D4—154no—
519C2×D4—302no—
520C2×D4—302no—
521C2×D4—302no—
522C2×D4—302no—
523C2×D4—302no—
524C2×D4—302no—
525C22×C4—31no—
526C22×C4—34no—
527C22×C4—34no—
528C22×C4—34no—
529C22×C4—32no—
530C22×C4—51no—
531C22×C4—54no—
532C22×C4—52no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—64no—
536C22×C4—102no—
537C22×C4—102no—
538C22×C4—151no—
539C22×C4—154no—
540C22×C4—152no—
541C22×C4—302no—
542C22×C4—302no—
543C22×C4C2×D3×D512yes—
544C22×C4C2×D3×D511yescharacteristic
545C4⋊C4—304no—
546C22⋊C4—104no—
547C22⋊C4—304no—
548C22⋊C4—304no—
549C22⋊C4—304no—
550C22⋊C4—304no—
551C42—22no—
552C42—64no—
553C42—62no—
554C42—102no—
555C42—302no—
556C3×C5#229711yescharacteristic, complemented, Hall
557C22×C3—102no—
558C22×C3—102no—
559C22×C3—102no—
560C22×C3—202no—
561C22×C3—202no—
562C22×C3C22×C4×D511yescharacteristic
563C22×C3C22×D2011yescharacteristic
564C22×C3C2×#70912yes—
565C22×C3C2×#70912yes—
566C22×C3C22×C22⋊D511yescharacteristic
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—24no—
570C2×D3—24no—
571C2×D3—102no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—202no—
575C2×D3—202no—
576C2×D3C2×#68514yes—
577C3×C4—24no—
578C3×C4—102no—
579C3×C4—202no—
580C3×C4C2×#68514yes—
581Dic3—24no—
582Dic3—102no—
583Dic3—202no—
584Dic3C2×#68514yes—
585C2×C5—64no—
586C2×C5C4×#23511yescharacteristic
587C2×C5C2×D3×C22⋊C411yescharacteristic
588C2×C5#552211yescharacteristic
589C2×C5#554712yes—
590C2×C5#554812yes—
591D5—42no—
592D5—122no—
593C23—32no—
594C23—32no—
595C23—32no—
596C23—52no—
597C23—62no—
598C23—62no—
599C23—102no—
600C23—101no—
601C23—102no—
602C23—101no—
603C23—152no—
604C23—302no—
605C23—301no—
606C23—302no—
607C23—301no—
608C23C22×D3×D511yescharacteristic
609Q8—308no—
610D4—308no—
611D4—308no—
612D4—308no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—32no—
616C2×C4—32no—
617C2×C4—32no—
618C2×C4—316no—
619C2×C4—34no—
620C2×C4—52no—
621C2×C4—616no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—101no—
625C2×C4—101no—
626C2×C4—108no—
627C2×C4—102no—
628C2×C4—102no—
629C2×C4—102no—
630C2×C4—152no—
631C2×C4—301no—
632C2×C4—301no—
633C2×C4—308no—
634C2×C4—302no—
635C2×C4—302no—
636C2×C4—302no—
637C2×C4#677114yescomplemented
638C2×C4C4×D3×D512yes—
639C2×C4D3×D2012yes—
640C2×C4D3×C22⋊D512yes—
641C2×C3—202no—
642C2×C3C4×#70911yescharacteristic
643C2×C3C4×#70911yescharacteristic
644C2×C3#6581112yes—
645C2×C3C22×#68511yescharacteristic
646C2×C3#6612512yes—
647D3—24no—
648D3—202no—
649C5#7356311yescharacteristic, complemented, Sylow
650C22—34no—
651C22—64no—
652C22—62no—
653C22—62no—
654C22—64no—
655C22—102no—
656C22—102no—
657C22—102no—
658C22—202no—
659C22—202no—
660C22—302no—
661C22—302no—
662C22—302no—
663C22—602no—
664C22—602no—
665C22C2×#677112yes—
666C22C2×C4×D3×D511yescharacteristic
667C22C2×D3×D2011yescharacteristic
668C22D3×#70912yes—
669C22C2×D3×C22⋊D511yescharacteristic
670C4—24no—
671C4—34no—
672C4—64no—
673C4—102no—
674C4—202no—
675C4—302no—
676C4—602no—
677C4D3×#68514yes—
678C3#1061380111yescharacteristic, complemented, Sylow
679C2—64no—
680C2—202no—
681C2—602no—
682C2C4×#677111yescharacteristic
683C2#1175266611yescharacteristic
684C2#1175267512yes—
685C2#1175453812yes—
686C2C2×D3×#68511yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC22×C3×C5C23×C4
FrattiniC23C22×D3×D5
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6771C2
hypercenterC2×C42D3×D5
hypocenterC3×C5#2297
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C42×C5×D3C2semidirect
3. C2×#91371C2semidirect
4. C4×#6714C2semidirect
5. C3×C4×#685C2semidirect
6. #11748934C2semidirect
7. #11748914C2semidirect
8. #11748912C2semidirect
9. #11748910C2semidirect
10. C4×#6667C2semidirect
11. C4×#6665C2semidirect
23. C2×#6771C4semidirect
51. C4×#685D3semidirect
62. C2×C4×D15C2×C4semidirect
75. C2×C3×C4×D5C2×C4semidirect
78. C2×#1204C2×C4semidirect
84. C2×#1202C2×C4semidirect
102. C2×C42×D3D5semidirect
161. C2×C3×C4×C5#41semidirect
174. C2×C5×Dic3#41semidirect
176. C4×C5×D3C22⋊C4semidirect
248. C2×C4×D5C4×D3semidirect
376. C2×C4×C5#235semidirect
460. C2×C3×C4#709semidirect
474. C2×Dic3#709semidirect
479. C4×D3#685semidirect
556. C3×C5#2297semidirect
637. C2×C4#6771semidirect
649. C5#73563semidirect
678. C3#10613801semidirect

Maximal subgroups

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

subgroupindex
C22×#67712
C2×C42×C5×D32
C2×#913712
C4×#67142
C3×C4×#6852
#117489342
#117489142
#117489122
#117489102
C4×#66672
C4×#66652
#106138013
#735635