Finite Group Databasebeta

← #29736740

Subgroups — #29736740

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×#16840121C211yesmaximal, characteristic, complemented
3C2×#16840116C211yesmaximal, characteristic, complemented
4#21446970C211yesmaximal, characteristic, complemented
5#21446965C211yesmaximal, characteristic, complemented
6#21446960C211yesmaximal, characteristic, complemented
7#21446955C211yesmaximal, characteristic, complemented
8#21446787C211yesmaximal, characteristic, complemented
9#21446779C211yesmaximal, characteristic, complemented
10#21446142C211yesmaximal, characteristic
11#21446137C211yesmaximal, characteristic
12#21446132C211yesmaximal, characteristic, complemented
13#21446127C211yesmaximal, characteristic, complemented
14#21445585C211yesmaximal, characteristic, complemented
15C61×#2620C211yesmaximal, characteristic
16#16840390—24no—
17#16840390—24no—
18C2×#14519777C2211yescharacteristic
19C2×#14519777C2211yescharacteristic
20C2×#14519776—21no—
21C2×#14519769C2211yescharacteristic
22C2×#14519769C2211yescharacteristic
23C2×#14519768—21no—
24C2×#14519754—21no—
25C2×#14519754—21no—
26C2×#14519736C2211yescharacteristic
27C22×C4⋊Dic61C2211yescharacteristic
28#16840121—24no—
29#16840116—24no—
30C2×#14519701C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×C22⋊#92418C2211yescharacteristic
39C2×C22⋊#92418C2211yescharacteristic
40C2×#14519688C2211yescharacteristic
41C2×C4×#92418C2211yescharacteristic
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839517C2211yescharacteristic
51#16839517C2211yescharacteristic
52C2×#124×C61C2211yescharacteristic
53C2×C22⋊Q8×C61C2211yescharacteristic
54C2×#121×C61C2211yescharacteristic
55C2×#117×C61C2211yescharacteristic
56C61×#396—21no—
57C61×#396—21no—
58C61×#394—21no—
59C61×#394—21no—
60C61×#391C2211yescharacteristic
61C61×#390C2211yescharacteristic
62C61×#384C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C23×Dic61—21no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519777—22no—
71#14519777—22no—
72#14519777—22no—
73#14519777D414yescomplemented
74#14519776—28no—
75#14519769—22no—
76#14519769—22no—
77#14519769—22no—
78#14519769D414yescomplemented
79#14519768—28no—
80#14519754—28no—
81#14519754—28no—
82#14519736—22no—
83#14519736—22no—
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61—22no—
88C2×C4⋊Dic61—22no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×C22⋊Dic61—21no—
98C2×C4×Dic61—21no—
99#14519701—22no—
100#14519701—22no—
101#14519701—22no—
102#14519701—22no—
103#14519698—22no—
104#14519698—22no—
105#14519698—22no—
106#14519698—22no—
107C22⋊#92418—22no—
108C22⋊#92418—22no—
109#14519688—22no—
110C4×#92418—22no—
111C22×Q8×C61C2311yescharacteristic
112C22×D4×C61—21no—
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61C2311yescharacteristic
115#124×C61—22no—
116#124×C61—22no—
117C22⋊Q8×C61—22no—
118C22⋊Q8×C61—22no—
119#121×C61—22no—
120#121×C61—22no—
121#117×C61—22no—
122#117×C61—22no—
123C2×C4⋊C4×C61—21no—
124C2×C4⋊C4×C61—21no—
125C2×C4⋊C4×C61—21no—
126C2×C4⋊C4×C61D411yescharacteristic
127C2×C4⋊C4×C61D411yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61—21no—
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61D411yescharacteristic
137C2×C22⋊C4×C61D411yescharacteristic
138C2×C42×C61C2311yescharacteristic
139C2×C42×C61C2311yescharacteristic
140#95×C61—21no—
141#95×C61—21no—
142C24×C61—21no—
143C24×C61C2×D411yescharacteristic
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61—42no—
157C2×D4×C61—81no—
158C2×D4×C61—81no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61#4112yes—
172C22×C4×C61#4112yes—
173C22×C4×C61C2411yescharacteristic
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C22×Dic61—24no—
179C22×Dic61—81no—
180C22×Dic61—81no—
181C2×Dic122—24no—
182C2×Dic122—24no—
183C2×Dic122—81no—
184C2×Dic122—81no—
185C2×Dic122—81no—
186C2×Dic122—81no—
187C4⋊C4×C61—22no—
188C4⋊C4×C61—22no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61—81no—
195C4⋊C4×C61—81no—
196C22⋊C4×C61—22no—
197C22⋊C4×C61—22no—
198C22⋊C4×C61—42no—
199C22⋊C4×C61—42no—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—42no—
202C22⋊C4×C61—81no—
203C22⋊C4×C61—81no—
204C42×C61—21no—
205C42×C61—21no—
206C42×C61C2×D412yes—
207C42×C61C2×D412yes—
208C22⋊Dic61—24no—
209C4⋊Dic61—24no—
210C4⋊Dic61—24no—
211C4⋊Dic61—24no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61C2×D412yes—
217C4⋊Dic61C2×D412yes—
218C4⋊Dic61C2×D412yes—
219C4⋊Dic61C2×D412yes—
220#11758196—24no—
221#11758196—24no—
222#11758196—24no—
223#11758196—24no—
224C4×Dic61—24no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61#12412yes—
251C23×C61C22×D411yescharacteristic
252Q8×C61—41no—
253Q8×C61—41no—
254Q8×C61—41no—
255Q8×C61—41no—
256D4×C61—41no—
257D4×C61—41no—
258D4×C61—41no—
259D4×C61—41no—
260D4×C61—84no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61#12012yes—
287C2×C4×C61#12012yes—
288C2×C4×C61#12412yes—
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C612−1+411yescharacteristic
294C2×C4×C612−1+411yescharacteristic
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—84no—
308Dic122—84no—
309Dic122—84no—
310#92418—41no—
311#92418—41no—
312#92418—41no—
313#92418—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×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61C2×#12011yescharacteristic
330C22×C61C2×#12411yescharacteristic
331C22×C61#53611yescharacteristic
332C22×C61#57611yescharacteristic
333C22×C61#57711yescharacteristic
334C22×C61#57711yescharacteristic
335C22×C61#57811yescharacteristic
336C4×C61—22no—
337C4×C61—22no—
338C4×C61—22no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61#54811yescharacteristic
345C4×C61#54811yescharacteristic
346C4×C61#54811yescharacteristic
347C4×C61#54811yescharacteristic
348Dic61—42no—
349Dic61—42no—
350Dic61—42no—
351Dic61—42no—
352C2×#544—611no—
353C2×#489—611no—
354C2×#488—611no—
355#2620D6111yescharacteristic
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#1750—611no—
367C2×C61—42no—
368C2×C61—161no—
369C2×C61#243611yescharacteristic
370C2×C61#301211yescharacteristic
371C2×C61#301311yescharacteristic
372C2×C61#313611yescharacteristic
373C2×C61#313711yescharacteristic
374C2×C61#324311yescharacteristic
375C2×C61#324411yescharacteristic
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×#124C2×D6111yescharacteristic
385C2×C22⋊Q8—1221no—
386C2×C22⋊Q8—1221no—
387C2×C22⋊Q8C2×D6111yescharacteristic
388C2×#121C2×D6111yescharacteristic
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⋊C8—611no—
403C2×C22⋊C8—611no—
404C2×#97—611no—
405C2×C4×C8—611no—
406#396—21no—
407#396—21no—
408#394—21no—
409#394—21no—
410#391C2×D6111yescharacteristic
411#390C2×D6111yescharacteristic
412#384C2×D6111yescharacteristic
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#336—611no—
422#336—611no—
423C61#2591611yescharacteristic, complemented, Sylow
424C22×Q8—1221no—
425C22×Q8—1221no—
426C22×Q8C22×D6111yescharacteristic
427C22×D4—21no—
428C22×D4C22×D6111yescharacteristic
429C23×C4—1221no—
430C23×C4C22×D6111yescharacteristic
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8—611no—
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—22no—
446#124—22no—
447C22⋊Q8—22no—
448C22⋊Q8—22no—
449C22⋊Q8—1228no—
450C22⋊Q8—1228no—
451#121—22no—
452#121—22no—
453#117—22no—
454#117—22no—
455#117—1222no—
456#117—1222no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1222no—
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⋊C4C22⋊D6111yescharacteristic
474C2×C4⋊C4C22⋊D6111yescharacteristic
475C2×C4⋊C4C22×D6111yescharacteristic
476C2×C4⋊C4C22×D6111yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4C22⋊D6111yescharacteristic
485C2×C22⋊C4C22⋊D6111yescharacteristic
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—1222no—
498C22⋊C8—1222no—
499#97—1222no—
500C4×C8—1222no—
501#95—21no—
502#95—21no—
503C24—21no—
504C24C2×C22⋊D6111yescharacteristic
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—1224no—
512C2×Q8—1224no—
513C2×Q8—4881no—
514C2×Q8—4881no—
515C2×Q8—4881no—
516C2×Q8—4881no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—42no—
524C2×D4—81no—
525C2×D4—81no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—1224no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4#1175822412yes—
541C22×C4#1175822412yes—
542C22×C4C2×C22⋊D6111yescharacteristic
543C22×C4C2×C22⋊D6111yescharacteristic
544C22×C4C2×C22⋊D6111yescharacteristic
545C22×C4C2×C22⋊D6111yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C23×D6111yescharacteristic
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—81no—
568C4⋊C4—81no—
569C4⋊C4—612no—
570C4⋊C4—612no—
571C4⋊C4—612no—
572C4⋊C4—612no—
573C4⋊C4—1224no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1224no—
582C4⋊C4—1224no—
583C4⋊C4—1224no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—81no—
591C22⋊C4—81no—
592C22⋊C4—1224no—
593C42—21no—
594C42—21no—
595C42—1224no—
596C42D4×D6112yes—
597C42D4×D6112yes—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23#1451976412yes—
612C23C22×C22⋊D6111yescharacteristic
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—4884no—
618Q8—4884no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—84no—
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—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—4884no—
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#1451974512yes—
663C2×C4#1451974512yes—
664C2×C4#1451976412yes—
665C2×C4C2×D4×D6111yescharacteristic
666C2×C4C2×D4×D6111yescharacteristic
667C2×C4C2×#1175822411yescharacteristic
668C2×C4C2×#1175822411yescharacteristic
669C2×C4#1451982411yescharacteristic
670C2×C4#1451982411yescharacteristic
671C8—2441no—
672C8—2441no—
673C8—2441no—
674C8—2441no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1451974511yescharacteristic
690C22C2×#1451976411yescharacteristic
691C22#1684033311yescharacteristic
692C22#1684056511yescharacteristic
693C22#1684057011yescharacteristic
694C22#1684057311yescharacteristic
695C22#1684057711yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—41no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—2442no—
705C4—2442no—
706C4—2442no—
707C4—2442no—
708C4#1684041811yescharacteristic
709C4#1684041811yescharacteristic
710C4#1684041811yescharacteristic
711C4#1684041811yescharacteristic
712C2—42no—
713C2—161no—
714C2#2144947811yescharacteristic
715C2#2145512011yescharacteristic
716C2#2145513111yescharacteristic
717C2#2145617311yescharacteristic
718C2#2145618411yescharacteristic
719C2#2145709611yescharacteristic
720C2#2145711111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2620C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
hypercenter#2620D61
hypocenterC61#25916
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2620

Complements

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

NH ≅ G/Ntype
1. C2×#16840390C2semidirect
2. C2×#16840121C2semidirect
3. C2×#16840116C2semidirect
4. #21446970C2semidirect
5. #21446965C2semidirect
6. #21446960C2semidirect
7. #21446955C2semidirect
8. #21446787C2semidirect
9. #21446779C2semidirect
12. #21446132C2semidirect
13. #21446127C2semidirect
14. #21445585C2semidirect
73. #14519777D4semidirect
78. #14519769D4semidirect
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×#168401212
C2×#168401162
#214469702
#214469652
#214469602
#214469552
#214467872
#214467792
#214461422
#214461372
#214461322
#214461272
#214455852
C61×#26202
#2591661