Finite Group Databasebeta

← #29685164

Subgroups — #29685164

Order 15616.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840381C211yesmaximal, characteristic
2C2×#16839822C211yesmaximal, characteristic, complemented
3#21448173C211yesmaximal, characteristic, complemented
4#21446770C211yesmaximal, characteristic, complemented
5#21446767C211yesmaximal, characteristic, complemented
6#21446752C211yesmaximal, characteristic, complemented
7#21446138C211yesmaximal, characteristic
8#21446133C211yesmaximal, characteristic
9#21446128C211yesmaximal, characteristic, complemented
10#21446123C211yesmaximal, characteristic, complemented
11#21445651C211yesmaximal, characteristic, complemented
12#21445646C211yesmaximal, characteristic, complemented
13#103×Dic61C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1983C211yesmaximal, characteristic, complemented
16#16840381—24no—
17#16840381C418yescomplemented
18C2×#14519777C2211yescharacteristic
19C2×#14519770—21no—
20C2×#14519763—21no—
21C2×#14519761—21no—
22C2×#14519754—21no—
23C2×#14519753C2211yescharacteristic
24C2×#14519748C2211yescharacteristic
25C2×Q8×Dic61C2211yescharacteristic
26C2×D4×Dic61C2211yescharacteristic
27C2×#14519735C2211yescharacteristic
28C2×#14519734C2211yescharacteristic
29C2×C4⋊C4×D61C2211yescharacteristic
30#16839822—24no—
31C2×C4⋊#92418C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37C2×#14519689C2211yescharacteristic
38C2×#14519687C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40C4⋊C4×Dic61C2211yescharacteristic
41C4⋊C4×Dic61C2211yescharacteristic
42C4×#11758196—21no—
43C4×C4⋊Dic61C2211yescharacteristic
44#16839613—21no—
45C4×#11758198—21no—
46#16839609—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#124×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C4×C4⋊C4×C61C2211yescharacteristic
62C22×Dic122—21no—
63C22×C22⋊D61—21no—
64C23×Dic61—21no—
65C22×C4×D61—21no—
66C22×C4×D61C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69#14519777—22no—
70#14519777C2×C414yescomplemented
71#14519770—28no—
72#14519763—28no—
73#14519761—28no—
74#14519754—28no—
75#14519753—22no—
76#14519753C2×C414yes—
77#14519748—22no—
78#14519748C2×C414yes—
79Q8×Dic61—22no—
80Q8×Dic61C2×C414yescomplemented
81D4×Dic61—22no—
82D4×Dic61C2×C414yescomplemented
83#14519735—22no—
84#14519735—22no—
85#14519734C2×C414yes—
86#14519734D414yes—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196D411yescharacteristic
96C2×#11758196D411yescharacteristic
97C4⋊C4×D61—22no—
98C4⋊C4×D61—22no—
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198D411yescharacteristic
104C2×#11758198D411yescharacteristic
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61C2311yescharacteristic
111C4⋊#92418—22no—
112#14519701—22no—
113#14519701—22no—
114#14519698—22no—
115#14519698—22no—
116#14519689—22no—
117#14519689—22no—
118#14519687—22no—
119C8×Dic61—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×Q8×C61C2311yescharacteristic
124C22×D4×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127#124×C61—22no—
128#124×C61C2×C414yescomplemented
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C42×C61—21no—
134C2×C42×C61C2311yescharacteristic
135C4⋊C8×C61—22no—
136#103×C61—22no—
137#103×C61—22no—
138#102×C61—22no—
139#102×C61—22no—
140#95×C61—21no—
141C24×C61—21no—
142C23×D61C2×D411yescharacteristic
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C22×C412yes—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61C22×C412yes—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—24no—
169C22×Dic61—81no—
170C22×Dic61—81no—
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—24no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C2×D412yes—
183C2×Dic122—24no—
184C2×Dic122—81no—
185C2×Dic122—81no—
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#4112yes—
195C4⋊C4×C61#4112yes—
196C22⋊C4×C61—24no—
197C22⋊C4×C61—24no—
198C42×C61—81no—
199C42×C61C22×C412yes—
200C42×C61C2×D412yes—
201C22⋊Dic61—24no—
202C22⋊Dic61—24no—
203#11758198—24no—
204#11758198—24no—
205#11758198C22⋊C414yes—
206#11758198C22⋊C414yes—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—24no—
213C4⋊Dic61C22×C412yes—
214C4⋊Dic61C22×C412yes—
215C4⋊Dic61#4112yes—
216C4⋊Dic61#4112yes—
217#11758196—24no—
218#11758196—24no—
219#11758196C22⋊C414yes—
220#11758196C22⋊C414yes—
221C4×Dic61—24no—
222C4×Dic61—24no—
223C4×Dic61—81no—
224C4×Dic61—81no—
225C4×Dic61—81no—
226C4×Dic61C22×C412yes—
227C4×Dic61C2×D412yes—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C23×C61—22no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61C22×D411yescharacteristic
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61C2×C22⋊C412yes—
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—41no—
252Q8×C61—41no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—41no—
256D4×C61—41no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
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×C61C2×C22⋊C412yes—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C23×C411yescharacteristic
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C22⋊D61—84no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
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—84no—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61C2×C22⋊C412yes—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—84no—
306Dic122—84no—
307C8×C61—41no—
308C8×C61—41no—
309#92418—41no—
310#92418—41no—
311#21397—611nomaximal, Sylow
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61C22×C22⋊C411yescharacteristic
320C22×C61#52511yescharacteristic
321C22×C61#52511yescharacteristic
322C22×C61#57611yescharacteristic
323C22×C61#57711yescharacteristic
324C22×C61#57711yescharacteristic
325C22×C61#57811yescharacteristic
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61C4×#4111yescharacteristic
339C4×C61C4×#4111yescharacteristic
340C4×C61#53211yescharacteristic
341C4×C61#53211yescharacteristic
342Dic61—22no—
343Dic61—22no—
344Dic61—22no—
345Dic61—42no—
346Dic61—42no—
347Dic61—42no—
348Dic61—42no—
349C2×#542—611no—
350C2×#433—611no—
351#2274—611no—
352#1988—611no—
353#1987—611no—
354#1983—611no—
355#1983D6111yescharacteristic, complemented
356#1875—611no—
357#1874—611no—
358#1873—611no—
359#1872—611no—
360#1763—611no—
361#1762—611no—
362C4×#103—611no—
363C4×#102—611no—
364C2×C61—82no—
365C2×C61#229711yescharacteristic
366C2×C61#289711yescharacteristic
367C2×C61#289811yescharacteristic
368C2×C61#311811yescharacteristic
369C2×C61#312111yescharacteristic
370C2×C61#312411yescharacteristic
371C2×C61#312511yescharacteristic
372D61—42no—
373#542—618no—
374#542—1224no—
375C2×C4⋊Q8—611no—
376C2×#126—1221no—
377C2×#124—1221no—
378C2×#124C2×D6111yescharacteristic
379C2×#123—1221no—
380C2×C22⋊Q8—611no—
381C2×C22⋊Q8—1221no—
382C2×#121—611no—
383C2×C4×Q8—611no—
384C2×C4×D4—611no—
385C2×#117—611no—
386C2×#117—611no—
387C22×C4⋊C4—611no—
388#433—1224no—
389C2×C4⋊C8—611no—
390C2×C4⋊C8C2×D6111yescharacteristic
391C2×#103—611no—
392C2×#103—611no—
393C2×#103C2×D6111yescharacteristic
394C2×#103C2×D6111yescharacteristic
395C2×#102—611no—
396C2×#102—611no—
397C2×#102C2×D6111yescharacteristic
398C2×#102C2×D6111yescharacteristic
399C2×C22⋊C8—611no—
400C2×C22⋊C8—611no—
401C2×#97—611no—
402C2×C4×C8—611no—
403C4×C4⋊C4—611no—
404C4×C4⋊C4—611no—
405C4×C4⋊C4—611no—
406C4×C4⋊C4—1221no—
407C4×C4⋊C4—1221no—
408C4×C4⋊C4C2×D6111yescharacteristic
409C4×C22⋊C4—1221no—
410C4×C22⋊C4—1221no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419C61#2139711yescharacteristic, complemented, Sylow
420C22×Q8—1221no—
421C22×Q8C22×D6111yescharacteristic
422C22×D4—1221no—
423C22×D4C22×D6111yescharacteristic
424C23×C4—611no—
425C23×C4—1221no—
426C23×C4—1221no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C4⋊Q8—614no—
432C4⋊Q8—1222no—
433#126—1228no—
434#124—22no—
435#124—1228no—
436#124C4×D6114yescomplemented
437#123—1228no—
438C22⋊Q8—614no—
439C22⋊Q8—1228no—
440C22⋊Q8—1222no—
441#121—614no—
442#121—1222no—
443C4×Q8—614no—
444C4×Q8—1222no—
445C4×D4—614no—
446C4×D4—1222no—
447#117—614no—
448#117—614no—
449#117—1222no—
450#117—1222no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1222no—
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C42—21no—
474C2×C42—611no—
475C2×C42—1221no—
476C2×C42—1221no—
477C2×C42—1221no—
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42C22×D6111yescharacteristic
481C4⋊C8—22no—
482C4⋊C8—1222no—
483#103—22no—
484#103—22no—
485#103—1222no—
486#103—1222no—
487#102—22no—
488#102—22no—
489#102—1222no—
490#102—1222no—
491C22⋊C8—1222no—
492C22⋊C8—1222no—
493#97—1222no—
494C4×C8—1222no—
495#95—21no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—21no—
500C24—611no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—1224no—
507C2×Q8—4881no—
508C2×Q8—4881no—
509C2×Q8C2×C4×D6112yes—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—1224no—
516C2×D4—4881no—
517C2×D4—4881no—
518C2×D4C2×C4×D6112yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—612no—
526C22×C4—612no—
527C22×C4—1224no—
528C22×C4—1224no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—4881no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4—4881no—
541C22×C4D4×D6111yescharacteristic
542C22×C4D4×D6111yescharacteristic
543C22×C4C23×D6111yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—614no—
559C4⋊C4—614no—
560C4⋊C4—612no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1224no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1224no—
572C4⋊C4#1175822412yes—
573C4⋊C4#1175822412yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—614no—
577C22⋊C4—614no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C42—81no—
583C42—612no—
584C42—612no—
585C42—1224no—
586C42—1224no—
587C42—4881no—
588C42—4881no—
589C42—4881no—
590C42C2×C4×D6112yes—
591C42D4×D6112yes—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—612no—
600C23—1221no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23—1221no—
605C23—1221no—
606C23C2×D4×D6111yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—4884no—
612D4—22no—
613D4—22no—
614D4—41no—
615D4—41no—
616D4—4884no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—612no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—4884no—
648C2×C4—4884no—
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×C4C22⋊C4×D6112yes—
658C2×C4C22⋊C4×D6112yes—
659C2×C4C22×C4×D6111yescharacteristic
660C2×C4C2×D4×D6111yescharacteristic
661C2×C4#41×D6111yescharacteristic
662C2×C4#41×D6111yescharacteristic
663C2×C4C2×#1175822411yescharacteristic
664C2×C4C2×#1175822411yescharacteristic
665C8—41no—
666C8—41no—
667C8—2441no—
668C8—2441no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—1222no—
677C22—1222no—
678C22—1222no—
679C22—2441no—
680C22—2441no—
681C22—2441no—
682C22—2441no—
683C22C2×C22⋊C4×D6111yescharacteristic
684C22#1684027211yescharacteristic
685C22#1684027211yescharacteristic
686C22#1684056411yescharacteristic
687C22#1684056911yescharacteristic
688C22#1684057211yescharacteristic
689C22#1684057811yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—1222no—
696C4—1222no—
697C4—1222no—
698C4—2442no—
699C4—2442no—
700C4—2442no—
701C4—2442no—
702C4C4×#1175822411yescharacteristic
703C4C4×#1175822411yescharacteristic
704C4#1684031011yescharacteristic
705C4#1684031111yescharacteristic
706C2—82no—
707C2—2442no—
708C2#2144830611yescharacteristic
709C2#2145434111yescharacteristic
710C2#2145435011yescharacteristic
711C2#2145600011yescharacteristic
712C2#2145604511yescharacteristic
713C2#2145608011yescharacteristic
714C2#2145609311yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1983C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
cosocleC22×C4×C61C24
hypercenter#1983D61
hypocenterC61#21397
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1983

Complements

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

NH ≅ G/Ntype
2. C2×#16839822C2semidirect
3. #21448173C2semidirect
4. #21446770C2semidirect
5. #21446767C2semidirect
6. #21446752C2semidirect
9. #21446128C2semidirect
10. #21446123C2semidirect
11. #21445651C2semidirect
12. #21445646C2semidirect
13. #103×Dic61C2semidirect
14. #102×Dic61C2semidirect
15. C61×#1983C2semidirect
17. #16840381C4semidirect
70. #14519777C2×C4semidirect
80. Q8×Dic61C2×C4semidirect
82. D4×Dic61C2×C4semidirect
128. #124×C61C2×C4semidirect
355. #1983D61semidirect
419. C61#21397semidirect
436. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403812
C2×#168398222
#214481732
#214467702
#214467672
#214467522
#214461382
#214461332
#214461282
#214461232
#214456512
#214456462
#103×Dic612
#102×Dic612
C61×#19832
#2139761