Finite Group Databasebeta

← #29716091

Subgroups — #29716091

Order 15616.

1150 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×#16840315C211yesmaximal, characteristic, complemented
2C2×#16840050C211yesmaximal, characteristic, complemented
3C2×#16840040C211yesmaximal, characteristic, complemented
4#121×Dic61C211yesmaximal, characteristic
5#21447160C211yesmaximal, characteristic, complemented
6#21447156C211yesmaximal, characteristic, complemented
7#21446963C211yesmaximal, characteristic, complemented
8#21446963C211yesmaximal, characteristic, complemented
9#21446769C211yesmaximal, characteristic, complemented
10#21446765C211yesmaximal, characteristic, complemented
11#21446142C211yesmaximal, characteristic
12#21446020C211yesmaximal, characteristic, complemented
13#21446018C211yesmaximal, characteristic, complemented
14#21445797C211yesmaximal, characteristic, complemented
15C61×#1875C211yesmaximal, characteristic
16#16840315—24no—
17#16840315—24no—
18C2×#14519776C2211yescharacteristic
19C2×#14519776C2211yescharacteristic
20C2×#14519768C2211yescharacteristic
21C2×#14519768C2211yescharacteristic
22C2×#14519754—21no—
23C2×#14519754—21no—
24C2×C4×Dic122—21no—
25C2×C4×Dic122—21no—
26C2×D4×Dic61—21no—
27C2×D4×Dic61C2211yescharacteristic
28C2×#14519736C2211yescharacteristic
29C22×C4×Dic61C2211yescharacteristic
30#16840050—24no—
31#16840040—24no—
32C2×#14519711C2211yescharacteristic
33C2×#14519710C2211yescharacteristic
34C2×#14519709C2211yescharacteristic
35C2×#14519708C2211yescharacteristic
36C2×#14519706C2211yescharacteristic
37C2×#14519706C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39C2×#14519698C2211yescharacteristic
40C2×C22⋊#92418C2211yescharacteristic
41#16839665C2211yescharacteristic
42#16839661C2211yescharacteristic
43#16839655—21no—
44#16839642—21no—
45#16839622C2211yescharacteristic
46C4⋊C4×Dic61C2211yescharacteristic
47C22⋊C4×Dic61—21no—
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C2×#121×C61C2211yescharacteristic
57C2×#117×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×C22⋊C8×C61C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C23×Dic61—21no—
66C23×Dic61D411yescharacteristic
67C23×Dic61D411yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519776—22no—
71#14519776—22no—
72#14519776D414yescomplemented
73#14519776D414yescomplemented
74#14519768—22no—
75#14519768—22no—
76#14519768—22no—
77#14519768—22no—
78#14519754—28no—
79#14519754—28no—
80C4×Dic122—28no—
81C4×Dic122—28no—
82D4×Dic61—22no—
83D4×Dic61—22no—
84D4×Dic61—44no—
85#14519736—22no—
86#14519736—22no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×C22⋊Dic61—21no—
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—22no—
105C2×C4×Dic61—22no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61D411yescharacteristic
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61C2311yescharacteristic
110C2×C4×Dic61C2311yescharacteristic
111#14519711—22no—
112#14519710—22no—
113#14519709—22no—
114#14519708—22no—
115#14519706—22no—
116#14519706—22no—
117#14519698—22no—
118#14519698—22no—
119C22⋊#92418—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61—21no—
124C22×D4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128#121×C61—22no—
129#121×C61Q814yescomplemented
130#117×C61—22no—
131#117×C61—22no—
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138#102×C61—22no—
139#102×C61—22no—
140C22⋊C8×C61—22no—
141C24×C61—21no—
142C24×C61C2×D411yescharacteristic
143C2×D4×C61—24no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—42no—
150C2×D4×C61—42no—
151C2×D4×C61C2×Q812yes—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×Q812yes—
161C22×C4×C61#4112yes—
162C22×C4×C61C2411yescharacteristic
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—41no—
172C22×Dic61—41no—
173C22×Dic61—42no—
174C22×Dic61—42no—
175C22×Dic61—42no—
176C22×Dic61C2×D411yescharacteristic
177C22×Dic61C2×D411yescharacteristic
178C22×Dic61C2×D411yescharacteristic
179C22×Dic61C2×D411yescharacteristic
180C2×Dic122—24no—
181C2×Dic122—24no—
182C2×Dic122—42no—
183C2×Dic122—42no—
184C2×Dic122—42no—
185C2×Dic122—42no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61C2×D412yes—
196C4⋊C4×C61C2×D412yes—
197C4⋊C4×C61C2×Q812yes—
198C22⋊C4×C61—24no—
199C22⋊C4×C61—24no—
200C42×C61—24no—
201C22⋊Dic61—24no—
202C22⋊Dic61—42no—
203C22⋊Dic61—42no—
204C22⋊Dic61—42no—
205C22⋊Dic61—42no—
206C4⋊Dic61—24no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—42no—
215C4⋊Dic61C2×D412yes—
216C4⋊Dic61C2×D412yes—
217#11758196—24no—
218#11758196—24no—
219#11758196—24no—
220#11758196—24no—
221C4×Dic61—24no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—22no—
225C4×Dic61—22no—
226C4×Dic61—42no—
227C4×Dic61C2×D412yes—
228C4×Dic61C2×D412yes—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—22no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61C22⋊Q812yes—
249C23×C61C22×D411yescharacteristic
250D4×C61—22no—
251D4×C61—22no—
252D4×C61—48no—
253D4×C61—41no—
254D4×C61—41no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61C22⋊Q812yes—
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C22×Q811yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C612−1+411yescharacteristic
276C2×C4×C612−1+411yescharacteristic
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—44no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—44no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—84no—
300C2×Dic61#12012yes—
301C2×Dic61#12012yes—
302C2×Dic61#13512yes—
303C2×Dic61AGL(1,ℤ/8)12yes—
304Dic122—48no—
305Dic122—48no—
306C8×C61—41no—
307C8×C61—41no—
308#92418—41no—
309#92418—41no—
310#24300—611nomaximal, Sylow
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61C2×#12011yescharacteristic
326C22×C61C2×C22⋊Q811yescharacteristic
327C22×C61#53611yescharacteristic
328C22×C61C2×#13511yescharacteristic
329C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
330C22×C61#57511yescharacteristic
331C22×C61#57511yescharacteristic
332C4×C61—22no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61#54811yescharacteristic
337C4×C61#54811yescharacteristic
338C4×C61D4×Q811yescharacteristic
339C4×C61D4×Q811yescharacteristic
340Dic61—22no—
341Dic61—42no—
342Dic61—41no—
343Dic61—42no—
344Dic61—41no—
345Dic61—81no—
346Dic61—81no—
347Dic61#44914yes—
348C2×#533—611no—
349C2×#476—611no—
350C2×#474—611no—
351C4×#121—611no—
352#2059—611no—
353#2059—611no—
354#2025—611no—
355#2025—611no—
356#1988—611no—
357#1987—611no—
358#1875—611no—
359#1875D6111yescharacteristic
360#1854—611no—
361#1854—611no—
362#1797—611no—
363C2×C61—42no—
364C2×C61—82no—
365C2×C61#240911yescharacteristic
366C2×C61C2×#44911yescharacteristic
367C2×C61#300511yescharacteristic
368C2×C61#307611yescharacteristic
369C2×C61#307711yescharacteristic
370C2×C61#323311yescharacteristic
371C2×C61#323511yescharacteristic
372#533—1224no—
373#533—1224no—
374C2×C4⋊Q8—611no—
375C2×C4⋊Q8—611no—
376C2×#125—611no—
377C2×#125—611no—
378C2×C22⋊Q8—1221no—
379C2×C22⋊Q8—1221no—
380C2×#121C2×D6111yescharacteristic
381C2×C4×Q8—1221no—
382C2×C4×Q8—1221no—
383C2×C4×D4—611no—
384C2×C4×D4—1221no—
385C2×#117—611no—
386C2×#117C2×D6111yescharacteristic
387C22×C42—611no—
388#476—1224no—
389#474—1224no—
390C2×#107—611no—
391C2×#107—611no—
392C2×#106—611no—
393C2×#106—611no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102C2×D6111yescharacteristic
399C2×#102C2×D6111yescharacteristic
400C2×C22⋊C8—611no—
401C2×C22⋊C8C2×D6111yescharacteristic
402#390—611no—
403#389—611no—
404#388—1221no—
405#386—1221no—
406#380—611no—
407C4×C4⋊C4—611no—
408C4×C22⋊C4—1221no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417#336—611no—
418#336—611no—
419C61#2430011yescharacteristic, complemented, Sylow
420C22×Q8—1221no—
421C22×Q8—1221no—
422C22×D4—21no—
423C22×D4C22×D6111yescharacteristic
424C23×C4—611no—
425C23×C4—611no—
426C23×C4—1221no—
427C23×C4C22×D6111yescharacteristic
428C22×C8—611no—
429C22×C8—611no—
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C4⋊Q8—614no—
433C4⋊Q8—614no—
434C4⋊Q8—1222no—
435C4⋊Q8—1222no—
436#125—1222no—
437#125—1222no—
438#125—1222no—
439#125—1222no—
440C22⋊Q8—1228no—
441C22⋊Q8—1228no—
442#121—22no—
443#121Dic12214yescomplemented
444C4×Q8—1228no—
445C4×Q8—1228no—
446C4×D4—1222no—
447C4×D4—1222no—
448C4×D4—2444no—
449#117—22no—
450#117—22no—
451#117—1222no—
452#117—1222no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—21no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—1222no—
480C2×C42—1222no—
481C2×C42—1221no—
482C2×C42—1221no—
483#107—1222no—
484#107—1222no—
485#106—1222no—
486#106—1222no—
487C4⋊C8—1222no—
488C4⋊C8—1222no—
489#102—22no—
490#102—22no—
491#102—1222no—
492#102—1222no—
493C22⋊C8—22no—
494C22⋊C8—1222no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498C24—21no—
499C24D4×D6111yescharacteristic
500C2×Q8—1224no—
501C2×Q8—1224no—
502C2×Q8—2442no—
503C2×Q8—2442no—
504C2×Q8—2442no—
505C2×Q8—2442no—
506C2×D4—24no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4C2×Dic12212yes—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4—2442no—
537C22×C4—2441no—
538C22×C4—2441no—
539C22×C4C2×Dic12212yes—
540C22×C4D4×D6111yescharacteristic
541C22×C4#1175822412yes—
542C22×C4C23×D6111yescharacteristic
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—612no—
559C4⋊C4—612no—
560C4⋊C4—1224no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—1224no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—2442no—
573C4⋊C4C2×Dic12212yes—
574C4⋊C4D4×D6112yes—
575C4⋊C4D4×D6112yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—1224no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C42—24no—
584C42—612no—
585C42—612no—
586C42—1222no—
587C42—1222no—
588C42—1224no—
589C42—1221no—
590C42—1221no—
591C42—2442no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1451975412yes—
606C23C2×D4×D6111yescharacteristic
607Q8—2448no—
608Q8—2448no—
609D4—22no—
610D4—22no—
611D4—48no—
612D4—41no—
613D4—41no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—612no—
630C2×C4—612no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—4884no—
644C2×C4—2444no—
645C2×C4—2444no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4#1451975412yes—
657C2×C4C2×D4×D6111yescharacteristic
658C2×C4C2×D4×D6111yescharacteristic
659C2×C4C22×Dic12211yescharacteristic
660C2×C4C2×#1175822411yescharacteristic
661C2×C4#1451982411yescharacteristic
662C2×C4#1451982411yescharacteristic
663C8—41no—
664C8—41no—
665C8—2441no—
666C8—2441no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22#120×D6111yescharacteristic
682C22C2×#1451975411yescharacteristic
683C22#1684033411yescharacteristic
684C22#135×D6111yescharacteristic
685C22AGL(1,ℤ/8)×D6111yescharacteristic
686C22#1684055811yescharacteristic
687C22#1684055911yescharacteristic
688C4—22no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—614no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—2441no—
697C4—2442no—
698C4—2441no—
699C4—2442no—
700C4#1684041811yescharacteristic
701C4#1684041811yescharacteristic
702C4D4×Dic12211yescharacteristic
703C4D4×Dic12211yescharacteristic
704C2—42no—
705C2—82no—
706C2#2144918111yescharacteristic
707C2#449×D6111yescharacteristic
708C2#2145505711yescharacteristic
709C2#2145560311yescharacteristic
710C2#2145561311yescharacteristic
711C2#2145699511yescharacteristic
712C2#2145701411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1875C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
hypercenter#1875D61
hypocenterC61#24300
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1875

Complements

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

NH ≅ G/Ntype
1. C2×#16840315C2semidirect
2. C2×#16840050C2semidirect
3. C2×#16840040C2semidirect
5. #21447160C2semidirect
6. #21447156C2semidirect
7. #21446963C2semidirect
8. #21446963C2semidirect
9. #21446769C2semidirect
10. #21446765C2semidirect
12. #21446020C2semidirect
13. #21446018C2semidirect
14. #21445797C2semidirect
72. #14519776D4semidirect
73. #14519776D4semidirect
129. #121×C61Q8semidirect
419. C61#24300semidirect
443. #121Dic122semidirect

Maximal subgroups

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

subgroupindex
C2×#168403152
C2×#168400502
C2×#168400402
#121×Dic612
#214471602
#214471562
#214469632
#214467692
#214467652
#214461422
#214460202
#214460182
#214457972
C61×#18752
#2430061