Finite Group Databasebeta

← #29689013

Subgroups — #29689013

Order 15616.

1914 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D61C211yesmaximal, characteristic
2C22×#14519689C211yesmaximal, characteristic, complemented
3#380×D61C211yesmaximal, characteristic, complemented
4#21446248C211yesmaximal, characteristic, complemented
5#21446247C211yesmaximal, characteristic, complemented
6#21446245C211yesmaximal, characteristic, complemented
7#21446135C212yesmaximal, complemented
8#21446133C212yesmaximal, complemented
9#21445904C212yesmaximal, complemented
10#21445748C212yesmaximal, complemented
11C61×#1893C211yesmaximal, characteristic, complemented
12C22×D4×D61—21no—
13C22×D4×D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C23×#92418C2211yescharacteristic, complemented
16C2×#14519752C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519750—21no—
19C2×#14519749—21no—
20C2×#14519748C2211yescharacteristic
21#121×D61—24no—
22#121×D61C418yescomplemented
23C2×C4⋊C4×D61C2211yescharacteristic
24C2×C4⋊C4×D61C2212yescomplemented
25C2×C22⋊C4×D61—21no—
26C2×C22⋊C4×D61—21no—
27C2×#14519699C2212yescomplemented
28C2×#14519698C2212yescomplemented
29C2×#14519697C2212yescomplemented
30C2×#14519689—24no—
31C2×#14519689C2212yes—
32C2×#14519689C2212yescomplemented
33#16839622C2211yescharacteristic, complemented
34#16839621—21no—
35#16839620—21no—
36#16839619C2212yes—
37#95×D61—21no—
38#16839525C2212yescomplemented
39#16839524C2212yescomplemented
40#16839524C2212yescomplemented
41C23×C8×C61C2211yescharacteristic, complemented
42C2×#121×C61C2211yescharacteristic
43C2×#102×C61C2212yescomplemented
44C61×#380C2211yescharacteristic, complemented
45C61×#340C2212yescomplemented
46C24×D61—21no—
47C24×D61D411yescharacteristic
48C22×D244—21no—
49C22×D244C2311yescharacteristic
50C22×C22⋊D61—21no—
51C22×C22⋊D61—21no—
52C22×C22⋊D61—21no—
53C2×D4×D61—28no—
54C2×D4×D61—22no—
55C2×D4×D61—42no—
56C2×D4×D61—42no—
57C2×D4×D61—44no—
58C2×D4×D61—44no—
59C2×D4×D61C2×C414yescomplemented
60C23×Dic61D411yescharacteristic
61C22×C4×D61—21no—
62C22×C4×D61—22no—
63C22×C4×D61—42no—
64C22×C4×D61—42no—
65C22×C4×D61C2×C414yes—
66C22×C4×D61D411yescharacteristic
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D414yes—
69C22×C4×D61C2311yescharacteristic
70C22×C4×D61C2311yescharacteristic
71C22×#92418—22no—
72C22×#92418—42no—
73C22×#92418C2312yes—
74#14519752—22no—
75#14519752C2×C414yes—
76#14519751—22no—
77#14519751C2×C414yescomplemented
78#14519750—28no—
79#14519749—28no—
80#14519748—22no—
81#14519748C2×C414yes—
82C2×C4⋊Dic61C2312yes—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×#11758196—21no—
85C2×#11758196—22no—
86C4⋊C4×D61—22no—
87C4⋊C4×D61—42no—
88C4⋊C4×D61—42no—
89C4⋊C4×D61C2×C414yescomplemented
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—22no—
95C22⋊C4×D61—28no—
96C22⋊C4×D61—44no—
97#14519699—42no—
98#14519698—42no—
99#14519697—42no—
100#14519689—24no—
101#14519689—24no—
102#14519684—21no—
103#14519684—22no—
104C22×D4×C61—21no—
105C22×D4×C61C2311yescharacteristic
106C23×C4×C61C2311yescharacteristic
107C22×C8×C61—22no—
108C22×C8×C61—42no—
109C22×C8×C61C2312yes—
110#121×C61—22no—
111#121×C61C2×C414yescomplemented
112C2×C4⋊C4×C61C2312yes—
113C2×C4⋊C4×C61C2311yescharacteristic
114C2×C22⋊C4×C61—21no—
115C2×C22⋊C4×C61—21no—
116#102×C61—42no—
117#95×C61—21no—
118C24×C61—21no—
119C24×C61C2×D411yescharacteristic
120C23×D61—21no—
121C23×D61—24no—
122C23×D61—42no—
123C23×D61—42no—
124C23×D61—44no—
125C23×D61—44no—
126C23×D61—42no—
127C23×D61—42no—
128C23×D61C22⋊C414yes—
129C23×D61D814yes—
130C23×D61SD1614yes—
131C23×D61C2×D411yescharacteristic
132C23×D61C2×D411yescharacteristic
133C2×D4×C61—24no—
134C2×D4×C61—21no—
135C2×D4×C61—22no—
136C2×D4×C61—22no—
137C2×D4×C61—42no—
138C2×D4×C61—42no—
139C2×D4×C61C22×C412yes—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—21no—
143C22×C4×C61—22no—
144C22×C4×C61C22×C412yes—
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2×D412yes—
147C22×C4×C61C2411yescharacteristic
148C2×C22⋊D61—24no—
149C2×C22⋊D61—24no—
150C2×C22⋊D61—24no—
151C2×C22⋊D61—44no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C2×C22⋊D61—42no—
156C22×Dic61—21no—
157C22×Dic61—22no—
158C22×Dic61—42no—
159C22×Dic61C22⋊C414yes—
160C22×Dic61C2×D411yescharacteristic
161C22×Dic61C2×D411yescharacteristic
162D4×D61—48no—
163D4×D61—44no—
164D4×D61—44no—
165D4×D61—432no—
166C2×D244—22no—
167C2×D244—22no—
168C2×D244—24no—
169C2×D244—21no—
170C2×D244—42no—
171C2×D244—42no—
172C2×D244C22×C412yes—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—24no—
178C2×C4×D61—48no—
179C2×C4×D61—44no—
180C2×C4×D61—44no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—44no—
186C2×C4×D61—44no—
187C2×C4×D61—44no—
188C2×C4×D61C22⋊C414yes—
189C2×C4×D61C22⋊C414yes—
190C2×C4×D61C22×C412yes—
191C2×C4×D61C22×C412yes—
192C2×C4×D61C2×D412yes—
193C2×C4×D61C2×D412yes—
194C2×C8×C61—22no—
195C2×C8×C61—22no—
196C2×C8×C61—22no—
197C2×C8×C61—44no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—22no—
200C4⋊C4×C61—22no—
201C4⋊C4×C61C22×C412yes—
202C22⋊C4×C61—24no—
203C22⋊C4×C61—42no—
204C22⋊Dic61—24no—
205C22⋊Dic61—42no—
206#11758198—24no—
207#11758198—24no—
208#11758198—44no—
209C4⋊Dic61—21no—
210C4⋊Dic61—22no—
211C4⋊Dic61—22no—
212C4⋊Dic61C22×C412yes—
213#11758196—24no—
214#11758196—44no—
215C2×#92418—22no—
216C2×#92418—22no—
217C2×#92418—22no—
218C2×#92418—44no—
219C23×C61—22no—
220C23×C61—22no—
221C23×C61—22no—
222C23×C61—42no—
223C23×C61—41no—
224C23×C61—41no—
225C23×C61—42no—
226C23×C61C2×C22⋊C412yes—
227C23×C61C2×D812yes—
228C23×C61C2×SD1612yes—
229C23×C61C22×D411yescharacteristic
230C22×D61—22no—
231C22×D61—22no—
232C22×D61—22no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—44no—
236C22×D61—44no—
237C22×D61—48no—
238C22×D61—48no—
239C22×D61—48no—
240C22×D61—48no—
241C22×D61—42no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—42no—
245C22×D61—48no—
246C22×D61—88no—
247C22×D61—88no—
248C22×D61#102116yescomplemented
249C22×D61C2×C22⋊C412yes—
250C22×D61C2×C22⋊C412yes—
251C22×D61C2×D812yes—
252C22×D61C2×D812yes—
253C22×D61C2×SD1612yes—
254C22×D61C2×SD1612yes—
255D4×C61—24no—
256D4×C61—48no—
257D4×C61—41no—
258D4×C61—41no—
259C2×C4×C61—22no—
260C2×C4×C61—24no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61—42no—
269C2×C4×C61C2×C22⋊C412yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61H(5,𝔽2)12yes—
273C2×C4×C61H(5,𝔽2)12yes—
274C22⋊D61—48no—
275C22⋊D61—48no—
276C22⋊D61—48no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—44no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—42no—
284C2×Dic61—42no—
285C2×Dic61—42no—
286C2×Dic61C2×C22⋊C412yes—
287C2×Dic61C2×C22⋊C412yes—
288D244—24no—
289D244—48no—
290D244—41no—
291D244—41no—
292C4×D61—24no—
293C4×D61—24no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—44no—
299C4×D61—44no—
300C4×D61—48no—
301C4×D61—88no—
302C8×C61—42no—
303#92418—42no—
304#21758—611nomaximal, Sylow
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—24no—
308C22×C61—24no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—82no—
313C22×C61—82no—
314C22×C61C2×#10214yes—
315C22×C61C22×C22⋊C411yescharacteristic
316C22×C61#53412yes—
317C22×C61C22×D811yescharacteristic
318C22×C61C22×SD1611yescharacteristic
319C22×C61#57512yes—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—24no—
325C2×D61—24no—
326C2×D61—24no—
327C2×D61—24no—
328C2×D61—416no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—816no—
333C2×D61—82no—
334C2×D61—82no—
335C2×D61C2×#10214yes—
336C2×D61C2×#10214yes—
337C4×C61—22no—
338C4×C61—42no—
339C4×C61—82no—
340C4×C61#51812yes—
341C4×C61#53411yescharacteristic
342C4×C61#53411yescharacteristic
343Dic61—22no—
344Dic61—22no—
345Dic61—42no—
346Dic61—82no—
347C22×#121—611no—
348C22×C22⋊C8—611no—
349C2×#380—611no—
350#1893—611no—
351#1893—611no—
352#1893—611no—
353#1893D6111yescharacteristic, complemented
354#1874—612no—
355#1874—612no—
356#1823—612no—
357#1786—612no—
358C2×C61—24no—
359C2×C61—82no—
360C2×C61#230811yescharacteristic
361C2×C61C22×#10211yescharacteristic
362C2×C61#289611yescharacteristic
363C2×C61#318612yes—
364C2×C61#318712yes—
365D61—24no—
366D61—24no—
367D61—82no—
368C23×D4—611no—
369C23×D4—1221no—
370C24×C4—611no—
371C23×C8—611no—
372C23×C8C2×D6111yescharacteristic, complemented
373C2×#121—611no—
374C2×#121—611no—
375C2×#121—618no—
376C2×#121—611no—
377C2×#121—1221no—
378C2×#121—1224no—
379C2×#121—1221no—
380C2×#121C2×D6111yescharacteristic
381C22×C4⋊C4—611no—
382C22×C4⋊C4—612no—
383C22×C22⋊C4—1221no—
384C22×C22⋊C4—1221no—
385C2×#102—612no—
386C2×#102—612no—
387C2×#102—612no—
388C2×#102C2×D6112yescomplemented
389C2×C22⋊C8—612no—
390C2×C22⋊C8—612no—
391C2×C22⋊C8—1224no—
392#380—611no—
393#380—612no—
394#380—1221no—
395#380—1221no—
396#380C2×D6111yescharacteristic, complemented
397C2×#95—1221no—
398#340—612no—
399#340—612no—
400#340—612no—
401#340C2×D6112yescomplemented
402C61#2175811yescharacteristic, complemented, Sylow
403C25—611no—
404C25—1221no—
405C22×D4—21no—
406C22×D4—614no—
407C22×D4—611no—
408C22×D4—1221no—
409C22×D4—1222no—
410C22×D4—1221no—
411C22×D4—1228no—
412C22×D4—1221no—
413C22×D4—1221no—
414C22×D4—2442no—
415C22×D4—2442no—
416C22×D4—2444no—
417C22×D4—2444no—
418C22×D4C22×D6111yescharacteristic
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4—614no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4—614no—
426C23×C4—1221no—
427C23×C4—1222no—
428C23×C4—2442no—
429C23×C4—2442no—
430C23×C4C22×D6111yescharacteristic
431C22×C8—22no—
432C22×C8—42no—
433C22×C8—612no—
434C22×C8—1222no—
435C22×C8—2442no—
436C22×C8C22×D6112yes—
437#121—22no—
438#121—614no—
439#121—614no—
440#121—614no—
441#121—1228no—
442#121—1222no—
443#121—1222no—
444#121—1228no—
445#121—1222no—
446#121C4×D6114yescomplemented
447C2×C4⋊C4—611no—
448C2×C4⋊C4—614no—
449C2×C4⋊C4—612no—
450C2×C4⋊C4—1222no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—2442no—
454C2×C4⋊C4—2442no—
455C2×C4⋊C4C22×D6112yes—
456C2×C4⋊C4C22×D6111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1228no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—2444no—
466#102—42no—
467#102—2442no—
468#102—2442no—
469#102—2442no—
470C22⋊C8—1224no—
471C22⋊C8—1224no—
472#95—21no—
473#95—1222no—
474#95—1221no—
475C24—21no—
476C24—611no—
477C24—611no—
478C24—614no—
479C24—614no—
480C24—614no—
481C24—1224no—
482C24—1221no—
483C24—2442no—
484C24—2442no—
485C24—2442no—
486C24—2442no—
487C24—2444no—
488C24—2444no—
489C24D4×D6111yescharacteristic
490C2×D4—24no—
491C2×D4—21no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—612no—
497C2×D4—1224no—
498C2×D4—1224no—
499C2×D4—1224no—
500C2×D4—1224no—
501C2×D4—1221no—
502C2×D4—1222no—
503C2×D4—1222no—
504C2×D4—2442no—
505C2×D4—2442no—
506C2×D4—2448no—
507C2×D4—2444no—
508C2×D4—2444no—
509C2×D4—2444no—
510C2×D4—24432no—
511C2×D4—2442no—
512C2×D4—2442no—
513C2×D4—2442no—
514C2×D4—2442no—
515C2×D4C2×C4×D6112yes—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—614no—
523C22×C4—612no—
524C22×C4—612no—
525C22×C4—612no—
526C22×C4—612no—
527C22×C4—614no—
528C22×C4—614no—
529C22×C4—1224no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1221no—
535C22×C4—1222no—
536C22×C4—2448no—
537C22×C4—2444no—
538C22×C4—2444no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4—2444no—
542C22×C4—2444no—
543C22×C4—2444no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4C2×C4×D6112yes—
548C22×C4D4×D6112yes—
549C22×C4D4×D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—44no—
555C2×C8—1222no—
556C2×C8—1222no—
557C2×C8—1222no—
558C2×C8—2444no—
559C4⋊C4—21no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—612no—
563C4⋊C4—1224no—
564C4⋊C4—1221no—
565C4⋊C4—1222no—
566C4⋊C4—1222no—
567C4⋊C4—2444no—
568C4⋊C4C2×C4×D6112yes—
569C22⋊C4—24no—
570C22⋊C4—42no—
571C22⋊C4—1224no—
572C22⋊C4—1224no—
573C22⋊C4—1224no—
574C22⋊C4—2444no—
575C22⋊C4—2442no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—612no—
584C23—612no—
585C23—612no—
586C23—612no—
587C23—612no—
588C23—612no—
589C23—6116no—
590C23—1222no—
591C23—1222no—
592C23—1222no—
593C23—1222no—
594C23—1222no—
595C23—4888no—
596C23—4888no—
597C23—2444no—
598C23—2448no—
599C23—2448no—
600C23—2444no—
601C23—2448no—
602C23—2448no—
603C23—2448no—
604C23—2441no—
605C23—2441no—
606C23—2442no—
607C23—2442no—
608C23C22⋊C4×D6112yes—
609C23D8×D6112yes—
610C23SD16×D6112yes—
611C23C2×D4×D6111yescharacteristic
612D4—24no—
613D4—48no—
614D4—41no—
615D4—41no—
616D4—1224no—
617D4—2448no—
618D4—2448no—
619D4—2448no—
620D4—2448no—
621D4—2441no—
622D4—2441no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—612no—
634C2×C4—612no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—4888no—
645C2×C4—2444no—
646C2×C4—2444no—
647C2×C4—2448no—
648C2×C4—2444no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4C22⋊C4×D6112yes—
655C2×C4C22×C4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4#1451982212yes—
658C2×C4#1451982312yes—
659C8—42no—
660C8—2442no—
661C22—24no—
662C22—24no—
663C22—22no—
664C22—22no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—82no—
669C22—82no—
670C22—614no—
671C22—614no—
672C22—1224no—
673C22—1224no—
674C22—1224no—
675C22—1224no—
676C22—1222no—
677C22—1222no—
678C22—1222no—
679C22—1222no—
680C22—48816no—
681C22—4882no—
682C22—4882no—
683C22—24416no—
684C22—2442no—
685C22—2442no—
686C22—2442no—
687C22#102×D6114yes—
688C22C2×C22⋊C4×D6111yescharacteristic
689C22#1684032012yes—
690C22C2×D8×D6111yescharacteristic
691C22C2×SD16×D6111yescharacteristic
692C22#1684055912yes—
693C4—22no—
694C4—42no—
695C4—82no—
696C4—1222no—
697C4—1222no—
698C4—4882no—
699C4—2442no—
700C4#1684023412yes—
701C4#1684032211yescharacteristic
702C4#1684032311yescharacteristic
703C2—24no—
704C2—82no—
705C2—1224no—
706C2—1224no—
707C2—4882no—
708C2#2144839311yescharacteristic
709C2C2×#102×D6111yescharacteristic
710C2#2145433411yescharacteristic
711C2#2145656612yes—
712C2#2145657112yes—
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1893C2
socleC23×C61C22×D4
prime radicalC2×#121×D61C2
cosocleC22×C4×C61C24
hypercenter#1893D61
hypocenterC61#21758
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1893

Complements

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

NH ≅ G/Ntype
2. C22×#14519689C2semidirect
3. #380×D61C2semidirect
4. #21446248C2semidirect
5. #21446247C2semidirect
6. #21446245C2semidirect
7. #21446135C2semidirect
8. #21446133C2semidirect
9. #21445904C2semidirect
10. #21445748C2semidirect
11. C61×#1893C2semidirect
15. C23×#92418C22semidirect
22. #121×D61C4semidirect
24. C2×C4⋊C4×D61C22semidirect
27. C2×#14519699C22semidirect
28. C2×#14519698C22semidirect
29. C2×#14519697C22semidirect
32. C2×#14519689C22semidirect
33. #16839622C22semidirect
38. #16839525C22semidirect
39. #16839524C22semidirect
40. #16839524C22semidirect
41. C23×C8×C61C22semidirect
43. C2×#102×C61C22semidirect
44. C61×#380C22semidirect
45. C61×#340C22semidirect
59. C2×D4×D61C2×C4semidirect
77. #14519751C2×C4semidirect
89. C4⋊C4×D61C2×C4semidirect
111. #121×C61C2×C4semidirect
248. C22×D61#102semidirect
353. #1893D61semidirect
372. C23×C8C2×D61semidirect
388. C2×#102C2×D61semidirect
396. #380C2×D61semidirect
401. #340C2×D61semidirect
402. C61#21758semidirect
446. #121C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D612
C22×#145196892
#380×D612
#214462482
#214462472
#214462452
#214461352
#214461332
#214459042
#214457482
C61×#18932
#2175861