Finite Group Databasebeta

← #29696901

Subgroups — #29696901

Order 15616.

1118 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×#16840497C211yesmaximal, characteristic
2#21448776C211yesmaximal, characteristic, complemented
3#21446749C211yesmaximal, characteristic, complemented
4#21446749C211yesmaximal, characteristic, complemented
5#21446745C211yesmaximal, characteristic
6#21446643C211yesmaximal, characteristic
7#21446635C211yesmaximal, characteristic, complemented
8#21446630C211yesmaximal, characteristic, complemented
9#21445835C211yesmaximal, characteristic, complemented
10#21445830C211yesmaximal, characteristic, complemented
11#21445820C211yesmaximal, characteristic, complemented
12#21445650C211yesmaximal, characteristic, complemented
13#21445645C211yesmaximal, characteristic, complemented
14C4×#14519699C211yesmaximal, characteristic, complemented
15C2×C61×#446C211yesmaximal, characteristic, complemented
16#16840497—24no—
17#16840497C418yescomplemented
18C2×#14519774C2211yescharacteristic
19C2×#14519766—21no—
20C2×#14519765C2211yescharacteristic
21C2×#14519765C2211yescharacteristic
22C2×#14519762—21no—
23C2×#14519762—21no—
24C2×C4×Dic122C2211yescharacteristic
25C2×C4×D244C2211yescharacteristic
26C2×C4×D244C2211yescharacteristic
27C2×#14519739—21no—
28C2×#14519702C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519699C2211yescharacteristic
35C2×#14519699C2211yescharacteristic
36C2×#14519699C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38C2×#14519699C2211yescharacteristic
39C2×#14519699C2211yescharacteristic
40#16839669—21no—
41#16839648—21no—
42#16839648—21no—
43#16839632C2211yescharacteristic
44#16839628C2211yescharacteristic
45#16839628C2211yescharacteristic
46C4⋊C4×Dic61—21no—
47C4×C4⋊Dic61C2211yescharacteristic
48C4×C4⋊Dic61C2211yescharacteristic
49C4×C4⋊Dic61C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54C2×C4×Q8×C61C2211yescharacteristic
55C61×#446—24no—
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×C4⋊C8×C61C2211yescharacteristic
59C2×#97×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C2×C4×C8×C61C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244—21no—
64C22×D244—21no—
65C22×D244C2311yescharacteristic
66C22×D244C2311yescharacteristic
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69#14519774—22no—
70#14519774C2×C414yes—
71#14519766—28no—
72#14519765—22no—
73#14519765—22no—
74#14519765C2×C414yes—
75#14519765C2×C414yes—
76#14519762—28no—
77#14519762—28no—
78C4×Dic122—22no—
79C4×Dic122C2×C414yes—
80C4×D244—22no—
81C4×D244—22no—
82C4×D244C2×C414yes—
83C4×D244C2×C414yes—
84#14519739—28no—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61—21no—
103#14519702—22no—
104#14519702—22no—
105#14519702—41no—
106#14519702—41no—
107#14519699—22no—
108#14519699—22no—
109#14519699—22no—
110#14519699—22no—
111#14519699—41no—
112#14519699—41no—
113#14519699—41no—
114#14519699—41no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122C22×Q8×C61D411yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C4×Q8×C61C2×C414yes—
128C4×Q8×C61D414yes—
129C2×C4⋊C4×C61D411yescharacteristic
130C2×C4⋊C4×C61D411yescharacteristic
131C2×C4⋊C4×C61D411yescharacteristic
132C2×C42×C61C2311yescharacteristic
133C2×C42×C61C2311yescharacteristic
134C2×C42×C61C2311yescharacteristic
135C4⋊C8×C61—22no—
136C4⋊C8×C61—22no—
137C4⋊C8×C61—22no—
138#97×C61—22no—
139#97×C61—22no—
140C4×C8×C61—22no—
141C23×D61—21no—
142C23×D61—21no—
143C2×Q8×C61—41no—
144C2×Q8×C61—41no—
145C2×Q8×C61C22⋊C414yes—
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2411yescharacteristic
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C2×D244—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—24no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—24no—
171C2×D244—42no—
172C2×D244—42no—
173C2×D244—81no—
174C2×D244—81no—
175C2×D244C22×C412yes—
176C2×D244C22×C412yes—
177C2×C4×D61—24no—
178C2×C4×D61—24no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C2×C4×D61—81no—
182C2×C4×D61—81no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122C22×C412yes—
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—
199C2×C8×C61—21no—
200C2×C8×C61#4112yes—
201C4⋊C4×C61C22⋊C414yes—
202C4⋊C4×C61C22⋊C414yes—
203C4⋊C4×C61C22⋊C414yes—
204C42×C61C22×C412yes—
205C42×C61C22×C412yes—
206C42×C61C22×C412yes—
207C42×C61C2×D412yes—
208C42×C61C2×D412yes—
209C42×C61C2×D412yes—
210#11758198—24no—
211#11758198—24no—
212#11758198—24no—
213#11758198—24no—
214#11758198—24no—
215#11758198—24no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—42no—
225C4⋊Dic61—81no—
226C4⋊Dic61C22×C412yes—
227C4⋊Dic61#4112yes—
228#11758196—24no—
229C4×Dic61—24no—
230C4×Dic61—42no—
231C4×Dic61—81no—
232C4×Dic61—81no—
233C23×C61C22×D411yescharacteristic
234C22×D61—22no—
235C22×D61—22no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248Q8×C61—44no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
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—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61C2×C22⋊C412yes—
262C2×C4×C61C2×C22⋊C412yes—
263C2×C4×C61C2×C22⋊C412yes—
264C2×C4×C61C2×C22⋊C412yes—
265C2×C4×C61C2×C22⋊C412yes—
266C2×C4×C61C2×C22⋊C412yes—
267C2×C4×C61C23×C411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
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—
291D244—22no—
292D244—22no—
293D244—22no—
294D244—22no—
295D244—48no—
296D244—41no—
297D244—41no—
298D244—41no—
299D244—41no—
300D244—84no—
301C4×D61—84no—
302C4×D61—84no—
303Dic122—22no—
304Dic122—22no—
305Dic122—41no—
306Dic122—41no—
307C8×C61—22no—
308C8×C61—41no—
309C8×C61—41no—
310C8×C61—41no—
311#22549—611nomaximal, Sylow
312C22×C61C22×C22⋊C411yescharacteristic
313C22×C61#54811yescharacteristic
314C22×C61#55011yescharacteristic
315C22×C61#57511yescharacteristic
316C22×C61#57511yescharacteristic
317C22×C61#57611yescharacteristic
318C22×C61#57711yescharacteristic
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C2×D61—81no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—22no—
337C4×C61—22no—
338C4×C61—22no—
339C4×C61C4×#4111yescharacteristic
340C4×C61#52011yescharacteristic
341C4×C61#54811yescharacteristic
342C4×C61#55011yescharacteristic
343Dic61—42no—
344Dic61—42no—
345Dic61—42no—
346Dic61—81no—
347Dic61—81no—
348Dic61—81no—
349C2×#559—611no—
350C2×#446D6111yescharacteristic, complemented
351#2355—611no—
352#1983—611no—
353#1983—611no—
354#1982—611no—
355#1961—611no—
356#1959—611no—
357#1958—611no—
358#1805—611no—
359#1804—611no—
360#1802—611no—
361#1763—611no—
362#1762—611no—
363C4×#102—611no—
364C2×C61#234111yescharacteristic
365C2×C61#289611yescharacteristic
366C2×C61#289711yescharacteristic
367C2×C61#337011yescharacteristic
368C2×C61#337111yescharacteristic
369C2×C61#340111yescharacteristic
370C2×C61#340311yescharacteristic
371D61—82no—
372D61—82no—
373#559—618no—
374#559—1224no—
375C2×#127—611no—
376C2×#124—611no—
377C2×#124—611no—
378C2×#124—1221no—
379C2×#123—1221no—
380C2×#123—1221no—
381C2×C4×Q8—611no—
382C2×C4×Q8C2×D6111yescharacteristic
383C2×C4×D4—611no—
384C2×C4×D4—611no—
385C2×C4×D4—1221no—
386#446—24no—
387C2×C4⋊C8C2×D6111yescharacteristic
388C2×C4⋊C8C2×D6111yescharacteristic
389C2×C4⋊C8C2×D6111yescharacteristic
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#97C2×D6111yescharacteristic
403C2×#97C2×D6111yescharacteristic
404C2×C4×C8C2×D6111yescharacteristic
405#391—1221no—
406#387—1221no—
407#387—1221no—
408#384—611no—
409#382—611no—
410#382—611no—
411C4×C4⋊C4—611no—
412C4×C4⋊C4—611no—
413C4×C4⋊C4—611no—
414C4×C4⋊C4—1221no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419C61#2254911yescharacteristic, complemented, Sylow
420C22×Q8—611no—
421C22×Q8D24411yescharacteristic
422C22×D4—611no—
423C22×D4—611no—
424C22×D4—1221no—
425C22×D4—1221no—
426C23×C4—1221no—
427C23×C4—1221no—
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432#127—614no—
433#127—1222no—
434#124—614no—
435#124—614no—
436#124—1228no—
437#124—1222no—
438#124—1222no—
439#123—1228no—
440#123—1228no—
441C4×Q8—614no—
442C4×Q8—1222no—
443C4×Q8C4×D6114yes—
444C4×Q8C22⋊D6114yes—
445C4×D4—614no—
446C4×D4—614no—
447C4×D4—1228no—
448C4×D4—1222no—
449C4×D4—1222no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4D24411yescharacteristic
459C2×C4⋊C4D24411yescharacteristic
460C2×C4⋊C4D24411yescharacteristic
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—1221no—
470C2×C42—1221no—
471C2×C42C22×D6111yescharacteristic
472C2×C42C22×D6111yescharacteristic
473C2×C42C22×D6111yescharacteristic
474C4⋊C8—22no—
475C4⋊C8—22no—
476C4⋊C8—22no—
477#103—1222no—
478#103—1222no—
479#103—2441no—
480#103—2441no—
481#102—1222no—
482#102—1222no—
483#102—1222no—
484#102—1222no—
485#102—2441no—
486#102—2441no—
487#102—2441no—
488#102—2441no—
489#97—22no—
490#97—22no—
491C4×C8—22no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—1221no—
500C24—1221no—
501C2×Q8—41no—
502C2×Q8—41no—
503C2×Q8—612no—
504C2×Q8—1221no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8#1175819814yes—
510C2×D4—612no—
511C2×D4—612no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1224no—
523C2×D4—1224no—
524C2×D4—4881no—
525C2×D4—4881no—
526C2×D4—2442no—
527C2×D4—2442no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1224no—
532C22×C4—1224no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—4881no—
537C22×C4—4881no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4C2×D24411yescharacteristic
541C22×C4C2×D24411yescharacteristic
542C22×C4C2×D24411yescharacteristic
543C22×C4C2×D24411yescharacteristic
544C22×C4C2×D24411yescharacteristic
545C22×C4C2×D24411yescharacteristic
546C22×C4C23×D6111yescharacteristic
547C2×C8—21no—
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#1175822612yes—
559C4⋊C4—612no—
560C4⋊C4—612no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1224no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—4881no—
571C4⋊C4—2442no—
572C4⋊C4#1175819814yes—
573C4⋊C4#1175819814yes—
574C4⋊C4#1175819814yes—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C42—1224no—
582C42—4881no—
583C42—4881no—
584C42—2442no—
585C42C2×C4×D6112yes—
586C42C2×C4×D6112yes—
587C42C2×C4×D6112yes—
588C42C2×C22⋊D6112yes—
589C42C2×C22⋊D6112yes—
590C42C2×C22⋊D6112yes—
591C23—1222no—
592C23—1222no—
593C23—2441no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23C22×D24411yescharacteristic
606Q8—44no—
607Q8—1222no—
608Q8—1222no—
609Q8—2441no—
610Q8—2441no—
611D4—1222no—
612D4—1222no—
613D4—1222no—
614D4—1222no—
615D4—4884no—
616D4—2448no—
617D4—2441no—
618D4—2441no—
619D4—2441no—
620D4—2441no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—4884no—
637C2×C4—4884no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
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×C4C2×#1175819812yes—
654C2×C4C2×#1175819812yes—
655C2×C4C2×#1175819812yes—
656C2×C4C2×#1175819812yes—
657C2×C4C2×#1175819812yes—
658C2×C4C2×#1175819812yes—
659C2×C4C22×C4×D6111yescharacteristic
660C2×C4C22×C22⋊D6111yescharacteristic
661C2×C4#41×D6111yescharacteristic
662C2×C4C2×#1175822611yescharacteristic
663C2×C4#1451982311yescharacteristic
664C2×C4#1451982511yescharacteristic
665C8—22no—
666C8—41no—
667C8—41no—
668C8—41no—
669C22—4881no—
670C22—4881no—
671C22—4881no—
672C22—4881no—
673C22—4881no—
674C22—4881no—
675C22—4881no—
676C22—4881no—
677C22—2442no—
678C22—2442no—
679C22—2442no—
680C22—2442no—
681C22—2442no—
682C22—2442no—
683C22C22×#1175819811yescharacteristic
684C22#1684042411yescharacteristic
685C22#1684043411yescharacteristic
686C22#1684056211yescharacteristic
687C22#1684056211yescharacteristic
688C22#1684056711yescharacteristic
689C22#1684057411yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—22no—
696C4—4881no—
697C4—4881no—
698C4—4881no—
699C4—2442no—
700C4—2442no—
701C4—2442no—
702C4C4×#1175822611yescharacteristic
703C4#1684024411yescharacteristic
704C4#1684042311yescharacteristic
705C4#1684043111yescharacteristic
706C2—4882no—
707C2—4882no—
708C2#2144865711yescharacteristic
709C2#2145433911yescharacteristic
710C2#2145434611yescharacteristic
711C2#2145857411yescharacteristic
712C2#2145858911yescharacteristic
713C2#2145888711yescharacteristic
714C2#2145890911yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#446C2
socleC23×C61C22×D4
prime radicalC2×#14519774C22
cosocleC22×C4×C61C24
hypercenterC2×#446D61
hypocenterC61#22549
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
2. #21448776C2semidirect
3. #21446749C2semidirect
4. #21446749C2semidirect
7. #21446635C2semidirect
8. #21446630C2semidirect
9. #21445835C2semidirect
10. #21445830C2semidirect
11. #21445820C2semidirect
12. #21445650C2semidirect
13. #21445645C2semidirect
14. C4×#14519699C2semidirect
15. C2×C61×#446C2semidirect
17. #16840497C4semidirect
350. C2×#446D61semidirect
419. C61#22549semidirect

Maximal subgroups

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

subgroupindex
C2×#168404972
#214487762
#214467492
#214467452
#214466432
#214466352
#214466302
#214458352
#214458302
#214458202
#214456502
#214456452
C4×#145196992
C2×C61×#4462
#2254961