Finite Group Databasebeta

← #14321185

Subgroups — #14321185

Order 1920.

1872 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6779C211yesmaximal, characteristic
2C22×C4×C5×Dic3C211yesmaximal, characteristic, complemented
3C2×#91529C211yesmaximal, characteristic, complemented
4#11751314C211yesmaximal, characteristic, complemented
5C3×#65502C211yesmaximal, characteristic, complemented
6#11749498C211yesmaximal, characteristic, complemented
7#11749495C211yesmaximal, characteristic, complemented
8#11748934C212yesmaximal, complemented
9#11748912C212yesmaximal, complemented
10#11748881C212yesmaximal, complemented
11Dic3×#685C212yesmaximal, complemented
12#10613801—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C22×#1220C2211yescharacteristic
15C23×C5×Dic3C2211yescharacteristic
16C23×C5×Dic3C2211yescharacteristic
17C22×C3×C22⋊D5C2211yescharacteristic
18C22×#1204C2211yescharacteristic
19C22×#1202C2211yescharacteristic
20C22×#1200C2211yescharacteristic
21C2×#6779—24no—
22C2×#6779—24no—
23C2×#6779C418yescomplemented
24C22×D5×Dic3C2211yescharacteristic
25C2×#6719C2211yescharacteristic
26C2×#6714C2212yes—
27C2×C4×C5×Dic3—24no—
28C2×C4×C5×Dic3C2212yes—
29C2×C4×C5×Dic3C2212yes—
30C2×C3×C22⋊Dic5C2211yescharacteristic
31C2×C3×#685C2212yes—
32C2×Dic3⋊Dic5C2212yes—
33C2×#6667C2212yes—
34C2×#6665C2212yes—
35#91529—24no—
36C2×Dic3×Dic5C2212yes—
37#91115C2212yes—
38C3×#3963C2212yes—
39#90994C2212yes—
40#90994C2212yes—
41#74658—51nomaximal, Hall
42C22×#709—31no—
43C22×C42×C5—31no—
44C2×#4072—31no—
45#65502—31no—
46#65502—31no—
47#65502—31no—
48#65502D311yescharacteristic, complemented
49#65228—32no—
50C4×#685—32no—
51C4×#685—32no—
52#65218—32no—
53C24×C3×C5C2311yescharacteristic
54C23×D15C2311yescharacteristic
55C23×C3×D5C2311yescharacteristic
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5—24no—
58C22×C3×C4×C5C2312yes—
59C2×#1220—22no—
60C2×#1220—22no—
61C2×#1220C2×C414yes—
62C22×Dic15C2312yes—
63C22×Dic15C2311yescharacteristic
64C22×C5×Dic3—22no—
65C22×C5×Dic3—24no—
66C22×C5×Dic3C2×C414yes—
67C22×C5×Dic3D414yes—
68C22×C5×Dic3D414yes—
69C22×C5×Dic3C2312yes—
70C22×C5×Dic3C2311yescharacteristic
71C22×C5×Dic3C2311yescharacteristic
72C2×C3×C22⋊D5—22no—
73C2×C3×C22⋊D5—22no—
74C2×C3×C22⋊D5C2×C414yes—
75C22×C3×Dic5C2312yes—
76C22×C3×Dic5C2311yescharacteristic
77C2×#1204—22no—
78C2×#1204—22no—
79C2×#1204C2×C414yescomplemented
80C2×#1202—22no—
81C2×#1202—22no—
82C2×#1202C2×C414yescomplemented
83C2×#1200—22no—
84C2×#1200—22no—
85C2×#1200C2×C414yescomplemented
86#6779—232no—
87C2×D5×Dic3—22no—
88C2×D5×Dic3—22no—
89C2×D5×Dic3C2×C414yescomplemented
90#6719—22no—
91#6714—24no—
92C4×C5×Dic3—24no—
93C4×C5×Dic3—24no—
94C3×C22⋊Dic5—22no—
95C3×#685—24no—
96Dic3⋊Dic5—24no—
97#6667—24no—
98#6665—24no—
99Dic3×Dic5—24no—
100C22×#237—51no—
101C22×C4×Dic3D511yescharacteristic, complemented
102C2×#877—51no—
103C3×#386—51no—
104#5220—51no—
105#5213—51no—
106#4958—51no—
107#4957—52no—
108Dic3×C22⋊C4—52no—
109#4666—52no—
110#4646—52no—
111C23×C4×C5—31no—
112C23×C4×C5—31no—
113C23×C4×C5C2×D311yescharacteristic
114C22×C22⋊D5—31no—
115C22×C22⋊D5C2×D311yescharacteristic
116C2×#709—38no—
117C2×#709—64no—
118C2×#709—64no—
119C22×D20—31no—
120C22×C4×D5—31no—
121C22×C4×D5—31no—
122C22×Dic10—31no—
123C2×C42×C5—32no—
124C2×C42×C5—32no—
125C2×C42×C5—64no—
126C2×C22⋊Dic5—31no—
127C2×C22⋊Dic5C2×D311yescharacteristic
128C2×#685—32no—
129C2×#685—32no—
130C2×#685—32no—
131C2×#685C2×D312yes—
132#4072—64no—
133C2×C4⋊Dic5—32no—
134C2×C4×Dic5—32no—
135#3963—32no—
136#3963—32no—
137#3963—32no—
138#3963C2×D312yes—
139#2297—151noSylow
140C23×C3×C5—22no—
141C23×C3×C5—22no—
142C23×C3×C5C22×C412yes—
143C23×C3×C5C2×D412yes—
144C23×C3×C5C2×D412yes—
145C23×C3×C5C2411yescharacteristic
146C22×D15—21no—
147C22×D15—21no—
148C22×D15—22no—
149C22×D15—22no—
150C22×D15C22×C412yes—
151C22×C3×D5—21no—
152C22×C3×D5—21no—
153C22×C3×D5—22no—
154C22×C3×D5—22no—
155C22×C3×D5C22×C412yes—
156C2×C3×C4×C5—28no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5#4114yescomplemented
160#1220—28no—
161C2×Dic15—21no—
162C2×Dic15—21no—
163C2×Dic15—22no—
164C2×Dic15—22no—
165C2×Dic15—22no—
166C2×Dic15C22×C412yes—
167C2×C5×Dic3—28no—
168C2×C5×Dic3—22no—
169C2×C5×Dic3—22no—
170C2×C5×Dic3C22⋊C4116yescomplemented
171C2×C5×Dic3C22×C412yes—
172C2×C5×Dic3C22×C412yes—
173C2×C5×Dic3C2×D412yes—
174C2×C5×Dic3C2×D412yes—
175C2×C5×Dic3C2×D412yes—
176C2×C5×Dic3C2×D412yes—
177C2×C5×Dic3#4114yescomplemented
178C3×C22⋊D5—28no—
179C2×C3×Dic5—21no—
180C2×C3×Dic5—21no—
181C2×C3×Dic5—22no—
182C2×C3×Dic5—22no—
183C2×C3×Dic5—22no—
184C2×C3×Dic5C22×C412yes—
185#1204—28no—
186#1202—28no—
187#1200—28no—
188D5×Dic3—28no—
189C22×C3×D4—51no—
190C23×C3×C4C2×D511yescharacteristic
191C22×#67—51no—
192C22×#67—51no—
193C23×Dic3—51no—
194C23×Dic3C2×D511yescharacteristic
195C23×Dic3C2×D511yescharacteristic
196C2×#237—58no—
197C2×#237—104no—
198C2×#237—104no—
199C22×C4×D3—51no—
200C22×Dic6—51no—
201C2×C3×C22⋊C4—51no—
202C2×C3×C22⋊C4—52no—
203C2×#217—51no—
204C2×#217—52no—
205C2×(C2×D3)⋊C4—52no—
206C2×(C2×D3)⋊C4—52no—
207C2×Dic3⋊C4—52no—
208C2×C4×Dic3—24no—
209C2×C4×Dic3—52no—
210C2×C4×Dic3C2×D512yes—
211C2×C4×Dic3C2×D512yes—
212#877—104no—
213C3×#95—52no—
214C3⋊#95—52no—
215C3⋊#95—52no—
216C3⋊#95—52no—
217C24×C5C22×D311yescharacteristic
218C23×D5—31no—
219C23×D5C22×D311yescharacteristic
220C22×C4×C5—22no—
221C22×C4×C5—24no—
222C22×C4×C5—34no—
223C22×C4×C5—34no—
224C22×C4×C5—34no—
225C22×C4×C5—31no—
226C22×C4×C5—31no—
227C22×C4×C5—32no—
228C22×C4×C5—64no—
229C22×C4×C5—62no—
230C22×C4×C5C22×D312yes—
231C2×C22⋊D5—22no—
232C2×C22⋊D5—22no—
233C2×C22⋊D5—34no—
234C2×C22⋊D5—62no—
235C2×C22⋊D5—62no—
236C2×C22⋊D5C4×D314yes—
237C22×Dic5—31no—
238C22×Dic5—32no—
239C22×Dic5C22×D312yes—
240C22×Dic5C22×D311yescharacteristic
241#709—632no—
242C2×D20—34no—
243C2×D20—62no—
244C2×D20—62no—
245C2×C4×D5—34no—
246C2×C4×D5—34no—
247C2×C4×D5—62no—
248C2×C4×D5—62no—
249C2×C4×D5—62no—
250C2×C4×D5—62no—
251C2×Dic10—34no—
252C2×Dic10—62no—
253C2×Dic10—62no—
254C42×C5—64no—
255C42×C5—64no—
256C22⋊Dic5—22no—
257C22⋊Dic5—62no—
258#685—24no—
259#685—64no—
260#685—64no—
261#685—64no—
262C4⋊Dic5—64no—
263C4×Dic5—64no—
264C22×#41—151no—
265C2×#117—151no—
266C22×C42—31no—
267#391—152no—
268#390—152no—
269#386—51no—
270#386—151no—
271#386—151no—
272#386—151no—
273C4×C22⋊C4—152no—
274C4×C22⋊C4—152no—
275C22×C3×C5—24no—
276C22×C3×C5—22no—
277C22×C3×C5—22no—
278C22×C3×C5—24no—
279C22×C3×C5C2×C22⋊C414yes—
280C22×C3×C5C23×C411yescharacteristic
281C22×C3×C5C22×D411yescharacteristic
282C22×C3×C5C22×D411yescharacteristic
283C22×C3×C5C2×#4112yes—
284C22×C3×C5C2×#4112yes—
285C2×D15—22no—
286C2×D15—24no—
287C2×D15—41no—
288C2×D15—41no—
289C2×D15—42no—
290C2×C3×D5—22no—
291C2×C3×D5—24no—
292C2×C3×D5—41no—
293C2×C3×D5—41no—
294C2×C3×D5—42no—
295C3×C4×C5—24no—
296Dic15—22no—
297Dic15—42no—
298C3×Dic5—22no—
299C3×Dic5—42no—
300C5×Dic3—24no—
301C5×Dic3C2×C22⋊C414yes—
302C5×Dic3C2×C22⋊C414yes—
303C24×C3—51no—
304C24×C3C22×D511yescharacteristic
305C23×D3—51no—
306C2×C3×D4—54no—
307C2×C3×D4—102no—
308C2×C3×D4—102no—
309C22×C3×C4—22no—
310C22×C3×C4—24no—
311C22×C3×C4—51no—
312C22×C3×C4—52no—
313C22×C3×C4C22×D512yes—
314C2×#67—54no—
315C2×#67—54no—
316C2×#67—102no—
317C2×#67—102no—
318C2×#67—102no—
319C2×#67—102no—
320C22×Dic3—22no—
321C22×Dic3—24no—
322C22×Dic3—51no—
323C22×Dic3—54no—
324C22×Dic3—52no—
325C22×Dic3—102no—
326C22×Dic3—102no—
327C22×Dic3C4×D514yes—
328C22×Dic3D2014yes—
329C22×Dic3C22⋊D514yes—
330C22×Dic3C22×D512yes—
331C22×Dic3C22×D511yescharacteristic
332C22×Dic3C22×D511yescharacteristic
333#237—1032no—
334C2×C4×D3—54no—
335C2×C4×D3—102no—
336C2×C4×D3—102no—
337C2×Dic6—54no—
338C2×Dic6—102no—
339C2×Dic6—102no—
340C3×C22⋊C4—102no—
341C3×C22⋊C4—104no—
342#217—102no—
343#217—104no—
344(C2×D3)⋊C4—104no—
345(C2×D3)⋊C4—104no—
346Dic3⋊C4—104no—
347C4×Dic3—24no—
348C4×Dic3—24no—
349C4×Dic3—104no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5C2×C4×D312yes—
353C23×C5D3×D412yes—
354C23×C5D3×D412yes—
355C23×C5C23×D311yescharacteristic
356C22×D5—21no—
357C22×D5—21no—
358C22×D5—22no—
359C22×D5—22no—
360C22×D5—32no—
361C22×D5—61no—
362C22×D5—61no—
363C22×D5—62no—
364C22×D5—62no—
365C22×D5C2×C4×D312yes—
366C2×C4×C5—28no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—316no—
370C2×C4×C5—32no—
371C2×C4×C5—32no—
372C2×C4×C5—32no—
373C2×C4×C5—32no—
374C2×C4×C5—32no—
375C2×C4×C5—32no—
376C2×C4×C5—34no—
377C2×C4×C5—68no—
378C2×C4×C5—62no—
379C2×C4×C5—62no—
380C2×C4×C5#23714yescomplemented
381C22⋊D5—28no—
382C22⋊D5—68no—
383C2×Dic5—21no—
384C2×Dic5—21no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—32no—
389C2×Dic5—61no—
390C2×Dic5—61no—
391C2×Dic5—62no—
392C2×Dic5—62no—
393C2×Dic5—62no—
394C2×Dic5C2×C4×D312yes—
395D20—68no—
396C4×D5—68no—
397C4×D5—68no—
398Dic10—68no—
399C2×#41—158no—
400C2×#41—304no—
401C2×#41—304no—
402C22×Q8—151no—
403C22×D4—51no—
404C22×D4—151no—
405C22×D4—151no—
406C23×C4—31no—
407C23×C4—31no—
408C23×C4—151no—
409C23×C4—151no—
410C23×C4D3×D511yescharacteristic
411#117—304no—
412C2×C4⋊C4—152no—
413C2×C22⋊C4—51no—
414C2×C22⋊C4—52no—
415C2×C22⋊C4—152no—
416C2×C22⋊C4—152no—
417C2×C22⋊C4—151no—
418C2×C22⋊C4—152no—
419C2×C42—32no—
420C2×C42—32no—
421C2×C42—64no—
422C2×C42—152no—
423#95—52no—
424#95—152no—
425#95—152no—
426#95—152no—
427C2×C3×C5—24no—
428C2×C3×C5C22×C22⋊C411yescharacteristic
429C2×C3×C5C4×#4112yes—
430C2×C3×C5#52511yescharacteristic
431C2×C3×C5#52511yescharacteristic
432C2×C3×C5#53212yes—
433D15—42no—
434C3×D5—42no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3—52no—
438C23×C3—101no—
439C23×C3—102no—
440C23×C3—102no—
441C23×C3—101no—
442C23×C3C2×C4×D512yes—
443C23×C3C2×D2012yes—
444C23×C3C2×C22⋊D512yes—
445C23×C3C23×D511yescharacteristic
446C22×D3—52no—
447C22×D3—101no—
448C22×D3—102no—
449C22×D3—102no—
450C22×D3—101no—
451C3×D4—108no—
452C2×C3×C4—28no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—52no—
456C2×C3×C4—101no—
457C2×C3×C4—101no—
458C2×C3×C4—102no—
459C2×C3×C4—102no—
460C2×C3×C4—102no—
461C2×C3×C4#70914yescomplemented
462#67—108no—
463#67—108no—
464C2×Dic3—28no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—52no—
468C2×Dic3—101no—
469C2×Dic3—101no—
470C2×Dic3—108no—
471C2×Dic3—102no—
472C2×Dic3—102no—
473C2×Dic3—102no—
474C2×Dic3#685116yescomplemented
475C2×Dic3C2×C4×D512yes—
476C2×Dic3C2×C4×D512yes—
477C2×Dic3C2×D2012yes—
478C2×Dic3C2×D2012yes—
479C2×Dic3#70914yescomplemented
480C2×Dic3C2×C22⋊D512yes—
481C2×Dic3C2×C22⋊D512yes—
482C4×D3—108no—
483Dic6—108no—
484C22×C5—22no—
485C22×C5—24no—
486C22×C5—22no—
487C22×C5—24no—
488C22×C5D3×C22⋊C414yes—
489C22×C5C22×C4×D311yescharacteristic
490C22×C5C2×D3×D411yescharacteristic
491C22×C5C2×D3×D411yescharacteristic
492C22×C5C2×#23712yes—
493C22×C5D3×#4112yes—
494C2×D5—22no—
495C2×D5—24no—
496C2×D5—41no—
497C2×D5—41no—
498C2×D5—42no—
499C2×D5—62no—
500C2×D5—64no—
501C2×D5—121no—
502C2×D5—121no—
503C2×D5—122no—
504C4×C5—24no—
505C4×C5—34no—
506C4×C5—34no—
507C4×C5—64no—
508Dic5—22no—
509Dic5—42no—
510Dic5—62no—
511Dic5—122no—
512C24—51no—
513C24—151no—
514C24C2×D3×D511yescharacteristic
515#41—3032no—
516C2×Q8—154no—
517C2×Q8—302no—
518C2×Q8—302no—
519C2×D4—54no—
520C2×D4—102no—
521C2×D4—102no—
522C2×D4—154no—
523C2×D4—154no—
524C2×D4—302no—
525C2×D4—302no—
526C2×D4—302no—
527C2×D4—302no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—34no—
531C22×C4—34no—
532C22×C4—34no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—32no—
536C22×C4—51no—
537C22×C4—52no—
538C22×C4—64no—
539C22×C4—62no—
540C22×C4—154no—
541C22×C4—154no—
542C22×C4—151no—
543C22×C4—152no—
544C22×C4—302no—
545C22×C4—302no—
546C22×C4—302no—
547C22×C4—302no—
548C22×C4C2×D3×D512yes—
549C4⋊C4—304no—
550C22⋊C4—102no—
551C22⋊C4—104no—
552C22⋊C4—304no—
553C22⋊C4—304no—
554C22⋊C4—302no—
555C22⋊C4—304no—
556C42—64no—
557C42—64no—
558C42—304no—
559C3×C5#229711yescharacteristic, complemented, Hall
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—104no—
565C22×C3—102no—
566C22×C3—202no—
567C22×C3—201no—
568C22×C3—201no—
569C22×C3C2×#68514yes—
570C22×C3C22×C4×D511yescharacteristic
571C22×C3C22×D2011yescharacteristic
572C22×C3C2×#70912yes—
573C22×C3C2×#70912yes—
574C22×C3C22×C22⋊D511yescharacteristic
575C2×D3—104no—
576C2×D3—102no—
577C2×D3—202no—
578C2×D3—201no—
579C2×D3—201no—
580C3×C4—24no—
581C3×C4—102no—
582C3×C4—202no—
583Dic3—24no—
584Dic3—102no—
585Dic3—202no—
586Dic3C2×#68514yes—
587Dic3C2×#68514yes—
588C2×C5—24no—
589C2×C5C2×D3×C22⋊C411yescharacteristic
590C2×C5C4×#23712yes—
591C2×C5#558611yescharacteristic
592C2×C5#559612yes—
593C2×C5#565611yescharacteristic
594D5—42no—
595D5—122no—
596C23—22no—
597C23—22no—
598C23—52no—
599C23—101no—
600C23—102no—
601C23—102no—
602C23—101no—
603C23—152no—
604C23—301no—
605C23—302no—
606C23—302no—
607C23—301no—
608C23C4×D3×D512yes—
609C23D3×D2012yes—
610C23D3×C22⋊D512yes—
611C23C22×D3×D511yescharacteristic
612Q8—308no—
613D4—108no—
614D4—308no—
615D4—308no—
616C2×C4—28no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—316no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—32no—
624C2×C4—32no—
625C2×C4—32no—
626C2×C4—34no—
627C2×C4—52no—
628C2×C4—68no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—101no—
632C2×C4—101no—
633C2×C4—102no—
634C2×C4—102no—
635C2×C4—102no—
636C2×C4—152no—
637C2×C4—308no—
638C2×C4—308no—
639C2×C4—301no—
640C2×C4—301no—
641C2×C4—302no—
642C2×C4—302no—
643C2×C4—302no—
644C2×C4#677914yescomplemented
645C2×C3—24no—
646C2×C3—202no—
647C2×C3C4×#70912yes—
648C2×C3#6581112yes—
649C2×C3C22×#68511yescharacteristic
650C2×C3#6612511yescharacteristic
651C2×C3#6612511yescharacteristic
652D3—202no—
653C5#7465811yescharacteristic, complemented, Sylow
654C22—24no—
655C22—22no—
656C22—24no—
657C22—22no—
658C22—104no—
659C22—102no—
660C22—201no—
661C22—202no—
662C22—201no—
663C22—304no—
664C22—302no—
665C22—601no—
666C22—602no—
667C22—601no—
668C22D3×#68514yes—
669C22C2×C4×D3×D511yescharacteristic
670C22C2×D3×D2011yescharacteristic
671C22D3×#70912yes—
672C22C2×#677912yes—
673C22C2×D3×C22⋊D511yescharacteristic
674C4—24no—
675C4—34no—
676C4—34no—
677C4—64no—
678C4—102no—
679C4—202no—
680C4—302no—
681C4—602no—
682C3#1061380111yescharacteristic, complemented, Sylow
683C2—24no—
684C2—202no—
685C2—602no—
686C2C4×#677912yes—
687C2#1175433911yescharacteristic
688C2#1175435612yes—
689C2C2×D3×#68511yescharacteristic
690C2#1175538811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6779C2
hypercenterC23×C4D3×D5
hypocenterC3×C5#2297
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×C5×Dic3C2semidirect
3. C2×#91529C2semidirect
4. #11751314C2semidirect
5. C3×#65502C2semidirect
6. #11749498C2semidirect
7. #11749495C2semidirect
8. #11748934C2semidirect
9. #11748912C2semidirect
10. #11748881C2semidirect
11. Dic3×#685C2semidirect
23. C2×#6779C4semidirect
48. #65502D3semidirect
79. C2×#1204C2×C4semidirect
82. C2×#1202C2×C4semidirect
85. C2×#1200C2×C4semidirect
89. C2×D5×Dic3C2×C4semidirect
101. C22×C4×Dic3D5semidirect
159. C2×C3×C4×C5#41semidirect
170. C2×C5×Dic3C22⋊C4semidirect
177. C2×C5×Dic3#41semidirect
380. C2×C4×C5#237semidirect
461. C2×C3×C4#709semidirect
474. C2×Dic3#685semidirect
479. C2×Dic3#709semidirect
559. C3×C5#2297semidirect
644. C2×C4#6779semidirect
653. C5#74658semidirect
682. C3#10613801semidirect

Maximal subgroups

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

subgroupindex
C22×#67792
C22×C4×C5×Dic32
C2×#915292
#117513142
C3×#655022
#117494982
#117494952
#117489342
#117489122
#117488812
Dic3×#6852
#106138013
#746585