Finite Group Databasebeta

← #29736738

Subgroups — #29736738

Order 15616.

1052 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840390C211yesmaximal, characteristic, complemented
2C2×#16840122C211yesmaximal, characteristic, complemented
3C2×#16840117C211yesmaximal, characteristic, complemented
4#21451576C211yesmaximal, characteristic
5#21446971C211yesmaximal, characteristic, complemented
6#21446966C211yesmaximal, characteristic, complemented
7#21446961C211yesmaximal, characteristic, complemented
8#21446956C211yesmaximal, characteristic, complemented
9#21446788C211yesmaximal, characteristic, complemented
10#21446780C211yesmaximal, characteristic, complemented
11#21446139C211yesmaximal, characteristic
12#21446134C211yesmaximal, characteristic
13#21446129C211yesmaximal, characteristic, complemented
14#21446124C211yesmaximal, characteristic, complemented
15C61×#1750C211yesmaximal, characteristic, complemented
16#16840390—24no—
17#16840390—24no—
18C2×#14519777C2211yescharacteristic
19C2×#14519777C2211yescharacteristic
20C2×#14519776—21no—
21C2×#14519769C2211yescharacteristic
22C2×#14519769C2211yescharacteristic
23C2×#14519768—21no—
24C2×#14519765C2211yescharacteristic
25C2×#14519756C2211yescharacteristic
26C2×#14519754—21no—
27C2×#14519754—21no—
28C2×#14519751C2211yescharacteristic
29C2×#14519736C2211yescharacteristic
30C22×C4⋊Dic61C2211yescharacteristic
31#16840122—24no—
32#16840117—24no—
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519702C2211yescharacteristic
36C2×#14519702C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38C2×#14519699C2211yescharacteristic
39C2×#14519699C2211yescharacteristic
40C2×#14519699C2211yescharacteristic
41#16839684—21no—
42#16839684—21no—
43#16839678—21no—
44#16839678—21no—
45#16839668C2211yescharacteristic
46#16839664C2211yescharacteristic
47#16839632C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55#16839525C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C2×#97×C61C2211yescharacteristic
60C2×C4×C8×C61C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C22×Dic122C2311yescharacteristic
66C22×D244C2311yescharacteristic
67C22×C22⋊D61—21no—
68C23×Dic61—21no—
69#14519777—22no—
70#14519777—22no—
71#14519777—22no—
72#14519777D414yescomplemented
73#14519776—28no—
74#14519769—22no—
75#14519769—22no—
76#14519769—22no—
77#14519769D414yescomplemented
78#14519768—28no—
79#14519765—22no—
80#14519765—22no—
81#14519756—22no—
82#14519756—22no—
83#14519754—28no—
84#14519754—28no—
85#14519751—22no—
86#14519751—22no—
87#14519736—22no—
88#14519736—22no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61—22no—
93C2×C4⋊Dic61—22no—
94C2×C4⋊Dic61—21no—
95C2×C4⋊Dic61—21no—
96C2×C4⋊Dic61C2311yescharacteristic
97C2×C4⋊Dic61C2311yescharacteristic
98C2×C4⋊Dic61C2311yescharacteristic
99C2×C4⋊Dic61C2311yescharacteristic
100C2×C4⋊Dic61C2311yescharacteristic
101C2×C4⋊Dic61C2311yescharacteristic
102C2×#11758196—21no—
103C2×#11758196—21no—
104C2×#11758196—21no—
105C2×#11758196—21no—
106C2×#11758196—21no—
107C2×C22⋊Dic61—21no—
108C2×C22⋊Dic61—21no—
109C2×#11758198—21no—
110C2×#11758198—21no—
111C2×#11758198—21no—
112C2×#11758198—21no—
113C2×#11758198—21no—
114C2×C4×Dic61—21no—
115#14519702—22no—
116#14519702—22no—
117#14519702—22no—
118#14519702—22no—
119#14519699—22no—
120#14519699—22no—
121#14519699—22no—
122#14519699—22no—
123#14519684—21no—
124#14519684—21no—
125C23×C4×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130#117×C61—22no—
131#117×C61—22no—
132C2×C4⋊C4×C61D411yescharacteristic
133C2×C4⋊C4×C61D411yescharacteristic
134C2×C22⋊C4×C61D411yescharacteristic
135C2×C22⋊C4×C61D411yescharacteristic
136C2×C42×C61C2311yescharacteristic
137C2×C42×C61C2311yescharacteristic
138C22⋊C8×C61—22no—
139C22⋊C8×C61—22no—
140#97×C61—22no—
141C4×C8×C61—22no—
142C24×C61C2×D411yescharacteristic
143C23×D61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61#4112yes—
154C22×C4×C61#4112yes—
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—42no—
157C2×C22⋊D61—81no—
158C2×C22⋊D61—81no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—24no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—81no—
168C22×Dic61—81no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—24no—
182C2×Dic122—24no—
183C2×Dic122—81no—
184C2×Dic122—81no—
185C2×Dic122—81no—
186C2×Dic122—81no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C4⋊C4×C61—22no—
200C4⋊C4×C61—22no—
201C22⋊C4×C61—22no—
202C22⋊C4×C61—22no—
203C42×C61—21no—
204C42×C61—21no—
205C42×C61C2×D412yes—
206C42×C61C2×D412yes—
207C22⋊Dic61—24no—
208C22⋊Dic61—42no—
209#11758198—42no—
210#11758198—42no—
211#11758198—42no—
212#11758198—81no—
213#11758198—81no—
214C4⋊Dic61—24no—
215C4⋊Dic61—24no—
216C4⋊Dic61—24no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—81no—
226C4⋊Dic61—81no—
227C4⋊Dic61C2×D412yes—
228C4⋊Dic61C2×D412yes—
229C4⋊Dic61C2×D412yes—
230C4⋊Dic61C2×D412yes—
231#11758196—24no—
232#11758196—24no—
233#11758196—24no—
234#11758196—24no—
235#11758196—42no—
236C4×Dic61—24no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61#12412yes—
244C23×C61C22×D411yescharacteristic
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61#12012yes—
269C2×C4×C61#12012yes—
270C2×C4×C61#12412yes—
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C612−1+411yescharacteristic
276C2×C4×C612−1+411yescharacteristic
277C22⋊D61—84no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—84no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—41no—
304Dic122—41no—
305Dic122—41no—
306Dic122—41no—
307Dic122—41no—
308Dic122—84no—
309Dic122—84no—
310C8×C61—41no—
311C8×C61—41no—
312C8×C61—41no—
313C8×C61—41no—
314#25916—611nomaximal, Sylow
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61C2×#12011yescharacteristic
323C22×C61C2×#12411yescharacteristic
324C22×C61#53611yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57711yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—81no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C4×C61—22no—
337C4×C61—22no—
338C4×C61—22no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61#54811yescharacteristic
342C4×C61#54811yescharacteristic
343C4×C61#54811yescharacteristic
344C4×C61#54811yescharacteristic
345Dic61—42no—
346Dic61—42no—
347Dic61—42no—
348Dic61—42no—
349Dic61—81no—
350Dic61—81no—
351Dic61—81no—
352C2×#544—611no—
353C2×#489—611no—
354C2×#488—611no—
355#2620—611no—
356#2026—611no—
357#2025—611no—
358#2024—611no—
359#2023—611no—
360#1992—611no—
361#1990—611no—
362#1875—611no—
363#1874—611no—
364#1873—611no—
365#1872—611no—
366#1750D6111yescharacteristic, complemented
367C2×C61—42no—
368C2×C61#243611yescharacteristic
369C2×C61#301211yescharacteristic
370C2×C61#301311yescharacteristic
371C2×C61#313611yescharacteristic
372C2×C61#313711yescharacteristic
373C2×C61#324311yescharacteristic
374C2×C61#324411yescharacteristic
375D61—161no—
376#544—1224no—
377#544—1224no—
378C2×C4⋊Q8—611no—
379C2×C4⋊Q8—611no—
380C2×C4⋊Q8—1221no—
381C2×#125—611no—
382C2×#125—611no—
383C2×#125—1221no—
384C2×#124—611no—
385C2×C22⋊Q8—611no—
386C2×C22⋊Q8—1221no—
387C2×C22⋊Q8—1221no—
388C2×#121—611no—
389C2×#117—611no—
390C2×#117C2×D6111yescharacteristic
391C22×C4⋊C4—611no—
392#489—1224no—
393#488—1224no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×C22⋊C8C2×D6111yescharacteristic
403C2×C22⋊C8C2×D6111yescharacteristic
404C2×#97C2×D6111yescharacteristic
405C2×C4×C8C2×D6111yescharacteristic
406#396—1221no—
407#396—1221no—
408#394—1221no—
409#394—1221no—
410#391—611no—
411#390—611no—
412#384—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#340—611no—
421#336C2×D6111yescharacteristic
422#336C2×D6111yescharacteristic
423C61#2591611yescharacteristic, complemented, Sylow
424C22×Q8—611no—
425C22×Q8—1221no—
426C22×Q8—1221no—
427C22×D4—611no—
428C22×D4—1221no—
429C23×C4—1221no—
430C23×C4C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C22×C8C22×D6111yescharacteristic
434C22×C8C22×D6111yescharacteristic
435C4⋊Q8—614no—
436C4⋊Q8—1222no—
437C4⋊Q8—1222no—
438C4⋊Q8—1228no—
439C4⋊Q8—1222no—
440#125—614no—
441#125—1222no—
442#125—1222no—
443#125—1228no—
444#125—1222no—
445#124—1222no—
446#124—1222no—
447C22⋊Q8—1228no—
448C22⋊Q8—1228no—
449C22⋊Q8—1222no—
450C22⋊Q8—1222no—
451#121—1222no—
452#121—1222no—
453#117—22no—
454#117—22no—
455#117—1222no—
456#117—1222no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4D24411yescharacteristic
476C2×C4⋊C4D24411yescharacteristic
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4D24411yescharacteristic
485C2×C22⋊C4D24411yescharacteristic
486C2×C42—1221no—
487C2×C42C22×D6111yescharacteristic
488C2×C42C22×D6111yescharacteristic
489#103—1222no—
490#103—1222no—
491#103—1222no—
492#103—1222no—
493#102—1222no—
494#102—1222no—
495#102—1222no—
496#102—1222no—
497C22⋊C8—22no—
498C22⋊C8—22no—
499#97—22no—
500C4×C8—22no—
501#95—1221no—
502#95—1221no—
503C24—1221no—
504C24C2×D24411yescharacteristic
505C2×Q8—1224no—
506C2×Q8—1224no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—4881no—
514C2×Q8—4881no—
515C2×Q8—4881no—
516C2×Q8—4881no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—4881no—
524C2×D4—4881no—
525C2×D4—2442no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—1224no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4C2×D24411yescharacteristic
541C22×C4C2×D24411yescharacteristic
542C22×C4C2×D24411yescharacteristic
543C22×C4C2×D24411yescharacteristic
544C22×C4C2×D24411yescharacteristic
545C22×C4#1175822212yes—
546C22×C4#1175822212yes—
547C22×C4C23×D6111yescharacteristic
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—612no—
565C4⋊C4—612no—
566C4⋊C4—1224no—
567C4⋊C4—1224no—
568C4⋊C4—1224no—
569C4⋊C4—1224no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—4881no—
582C4⋊C4—4881no—
583C4⋊C4—2442no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—1224no—
587C22⋊C4—4881no—
588C22⋊C4—4881no—
589C22⋊C4—2442no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C42—21no—
594C42—21no—
595C42—1224no—
596C42D4×D6112yes—
597C42D4×D6112yes—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—2441no—
605C23—2441no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23#1451976512yes—
612C23C22×D24411yescharacteristic
613Q8—4884no—
614Q8—4884no—
615Q8—2441no—
616Q8—2441no—
617Q8—2441no—
618Q8—2441no—
619D4—4884no—
620D4—2441no—
621D4—2441no—
622D4—2441no—
623D4—2441no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—4884no—
645C2×C4—2441no—
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—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4#1451974712yes—
663C2×C4#1451974712yes—
664C2×C4#1451976512yes—
665C2×C4C2×D4×D6111yescharacteristic
666C2×C4C2×D4×D6111yescharacteristic
667C2×C4C2×#1175822211yescharacteristic
668C2×C4C2×#1175822211yescharacteristic
669C2×C4#1451982411yescharacteristic
670C2×C4#1451982411yescharacteristic
671C8—41no—
672C8—41no—
673C8—41no—
674C8—41no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22C2×#1451974711yescharacteristic
690C22C2×#1451976511yescharacteristic
691C22#1684033811yescharacteristic
692C22#1684056711yescharacteristic
693C22#1684057411yescharacteristic
694C22#1684057411yescharacteristic
695C22#1684057911yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—41no—
700C4—41no—
701C4—4881no—
702C4—4881no—
703C4—4881no—
704C4—2442no—
705C4—2442no—
706C4—2442no—
707C4—2442no—
708C4#1684042111yescharacteristic
709C4#1684042111yescharacteristic
710C4#1684042111yescharacteristic
711C4#1684042111yescharacteristic
712C2—42no—
713C2—9761no—
714C2#2144947711yescharacteristic
715C2#2145512611yescharacteristic
716C2#2145513711yescharacteristic
717C2#2145617511yescharacteristic
718C2#2145618611yescharacteristic
719C2#2145710411yescharacteristic
720C2#2145711911yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1750C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
hypercenter#1750D61
hypocenterC61#25916
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1750

Complements

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

NH ≅ G/Ntype
1. C2×#16840390C2semidirect
2. C2×#16840122C2semidirect
3. C2×#16840117C2semidirect
5. #21446971C2semidirect
6. #21446966C2semidirect
7. #21446961C2semidirect
8. #21446956C2semidirect
9. #21446788C2semidirect
10. #21446780C2semidirect
13. #21446129C2semidirect
14. #21446124C2semidirect
15. C61×#1750C2semidirect
72. #14519777D4semidirect
77. #14519769D4semidirect
366. #1750D61semidirect
423. C61#25916semidirect

Maximal subgroups

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

subgroupindex
C2×#168403902
C2×#168401222
C2×#168401172
#214515762
#214469712
#214469662
#214469612
#214469562
#214467882
#214467802
#214461392
#214461342
#214461292
#214461242
C61×#17502
#2591661