Finite Group Databasebeta

← #29730653

Subgroups — #29730653

Order 15616.

958 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×#16840154C211yesmaximal, characteristic
2C2×#16839984C211yesmaximal, characteristic
3C2×#16839972C211yesmaximal, characteristic, complemented
4C2×#16839969C211yesmaximal, characteristic, complemented
5#21450799C211yesmaximal, characteristic
6#21447141C211yesmaximal, characteristic, complemented
7#21447134C211yesmaximal, characteristic
8#21446918C211yesmaximal, characteristic, complemented
9#21446912C211yesmaximal, characteristic
10#21446751C211yesmaximal, characteristic
11#21446543C211yesmaximal, characteristic, complemented
12#21446174C211yesmaximal, characteristic
13#21446160C211yesmaximal, characteristic, complemented
14#21445652C211yesmaximal, characteristic, complemented
15C61×#2365C211yesmaximal, characteristic, complemented
16C22×#11758202C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C22×#11758202C2211yescharacteristic
20C22×#11758201C2211yescharacteristic
21C22×#11758201C2211yescharacteristic
22C2×#14519777C2211yescharacteristic
23C2×#14519765C2211yescharacteristic
24C2×#14519765C2211yescharacteristic
25C2×C4×Dic122C2211yescharacteristic
26#16840154—24no—
27#16839984—24no—
28#16839972—24no—
29#16839969—24no—
30C2×C4⋊#92418C2211yescharacteristic
31C2×C4⋊#92418C2211yescharacteristic
32C2×C4⋊#92418C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519700C2211yescharacteristic
38C2×#14519700C2211yescharacteristic
39C2×#14519697C2211yescharacteristic
40C2×#14519697C2211yescharacteristic
41C2×#14519688C2211yescharacteristic
42#16839684—21no—
43#16839684—21no—
44#16839668C2211yescharacteristic
45#16839664C2211yescharacteristic
46#16839654—21no—
47#16839654—21no—
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839517C2211yescharacteristic
51#16839517C2211yescharacteristic
52C2×C4⋊Q8×C61C2211yescharacteristic
53C2×C4×Q8×C61C2211yescharacteristic
54C2×C4×Q8×C61C2211yescharacteristic
55C61×#391C2211yescharacteristic
56C61×#391C2211yescharacteristic
57C61×#389—21no—
58C61×#387—21no—
59C61×#387—21no—
60C4×C4⋊C4×C61—21no—
61C4×C4⋊C4×C61C2211yescharacteristic
62C4×C4⋊C4×C61C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×Dic122C2311yescharacteristic
65C22×D244C2311yescharacteristic
66C2×#11758202—22no—
67C2×#11758202—22no—
68C2×#11758202—22no—
69C2×#11758202—22no—
70C2×#11758202—22no—
71C2×#11758202—22no—
72C2×#11758202—22no—
73C2×#11758202—22no—
74C2×#11758202—41no—
75C2×#11758202—41no—
76C2×#11758202—41no—
77C2×#11758202—41no—
78C2×#11758201—22no—
79C2×#11758201—22no—
80C2×#11758201—22no—
81C2×#11758201—22no—
82C2×#11758201—41no—
83C2×#11758201—41no—
84C22×#92418C2311yescharacteristic
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87C22×#92418C2311yescharacteristic
88#14519777—22no—
89#14519777—41no—
90#14519765—22no—
91#14519765—22no—
92#14519765—22no—
93#14519765—41no—
94C4×Dic122—22no—
95C4×Dic122—22no—
96C2×C4⋊Dic61—21no—
97C2×C4⋊Dic61—21no—
98C2×C4⋊Dic61C2311yescharacteristic
99C2×#11758196—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198—21no—
106C2×C4×Dic61—21no—
107C4⋊#92418—22no—
108C4⋊#92418—22no—
109C4⋊#92418—22no—
110#14519701—22no—
111#14519701—22no—
112#14519700—22no—
113#14519700—22no—
114#14519700—41no—
115#14519700D414yes—
116#14519697—22no—
117#14519697—41no—
118#14519688—22no—
119#14519684—21no—
120#14519684—21no—
121C22×Q8×C61C2311yescharacteristic
122C22×Q8×C61C2311yescharacteristic
123C4⋊Q8×C61—22no—
124C4⋊Q8×C61D414yes—
125C4×Q8×C61—22no—
126C4×Q8×C61—22no—
127C4×Q8×C61—41no—
128C4×Q8×C61—41no—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61—21no—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61D411yescharacteristic
134C2×C4⋊C4×C61D411yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C42×C61—21no—
138C2×C42×C61—21no—
139C2×C42×C61—21no—
140C2×C42×C61C2311yescharacteristic
141C2×C42×C61C2311yescharacteristic
142C2×C42×C61C2311yescharacteristic
143#95×C61—21no—
144#95×C61—21no—
145#95×C61—21no—
146#95×C61—21no—
147#95×C61—21no—
148#95×C61D411yescharacteristic
149#95×C61D411yescharacteristic
150C23×D61—21no—
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C2×Q8×C61—21no—
160C2×Q8×C61—21no—
161C2×Q8×C61C2×D412yes—
162C2×Q8×C61C2×D412yes—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2411yescharacteristic
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244—21no—
181C2×D244—21no—
182C2×D244—21no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122C2×D412yes—
195C4⋊C4×C61—24no—
196C4⋊C4×C61—24no—
197C4⋊C4×C61—22no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—41no—
202C4⋊C4×C61—42no—
203C4⋊C4×C61—42no—
204C4⋊C4×C61C2×D412yes—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—42no—
210C42×C61—42no—
211C42×C61—42no—
212C42×C61C2×D412yes—
213C42×C61#4112yes—
214#11758202—44no—
215#11758202—44no—
216#11758202—44no—
217#11758202—44no—
218#11758201—44no—
219#11758201—44no—
220#11758198—42no—
221#11758198—42no—
222#11758198—42no—
223#11758198—42no—
224#11758198—42no—
225#11758198—42no—
226C4⋊Dic61—21no—
227C4⋊Dic61—21no—
228C4⋊Dic61—42no—
229C4⋊Dic61—42no—
230#11758196—42no—
231C4×Dic61—42no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418C2×D412yes—
243C2×#92418#4112yes—
244C23×C61C22×D411yescharacteristic
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—22no—
255Q8×C61—22no—
256Q8×C61—41no—
257Q8×C61—41no—
258Q8×C61—41no—
259Q8×C61—41no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—22no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
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—41no—
287C2×C4×C61#12112yes—
288C2×C4×C61#12112yes—
289C2×C4×C61#13712yes—
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61H(5,𝔽2)11yescharacteristic
295C2×C4×C61H(5,𝔽2)11yescharacteristic
296C2×Dic61—22no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305D244—41no—
306D244—41no—
307D244—41no—
308D244—41no—
309Dic122—22no—
310Dic122—22no—
311Dic122—41no—
312Dic122—41no—
313Dic122—41no—
314Dic122—41no—
315Dic122—41no—
316Dic122—41no—
317#92418—22no—
318#92418—22no—
319#92418—41no—
320#92418—41no—
321#25379—611nomaximal, Sylow
322C22×C61C2×#12111yescharacteristic
323C22×C61D4211yescharacteristic
324C22×C61#55011yescharacteristic
325C22×C61C2×#13711yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57811yescharacteristic
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—42no—
340C4×C61—42no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—42no—
344C4×C61—41no—
345C4×C61—81no—
346C4×C61#53211yescharacteristic
347C4×C61#54011yescharacteristic
348C4×C61D4211yescharacteristic
349C4×C61#54611yescharacteristic
350Dic61—42no—
351Dic61—81no—
352Dic61—81no—
353C2×#497—611no—
354C2×#464—611no—
355C2×#462—611no—
356C2×#462—611no—
357#2545—611no—
358#2365D6111yescharacteristic, complemented
359#2056—611no—
360#2055—611no—
361#2016—611no—
362#2015—611no—
363#1983—611no—
364#1940—611no—
365#1880—611no—
366#1878—611no—
367#1763—611no—
368C2×C61#242811yescharacteristic
369C2×C61#303711yescharacteristic
370C2×C61#304411yescharacteristic
371C2×C61#326911yescharacteristic
372C2×C61#327011yescharacteristic
373C2×C61#339811yescharacteristic
374C2×C61#340211yescharacteristic
375D61—161no—
376C22×Q16—611no—
377C22×Q16—611no—
378C22×Q16—611no—
379C22×Q16—611no—
380C22×SD16—611no—
381C22×SD16—611no—
382C2×C4⋊Q8—611no—
383C2×C4⋊Q8C2×D6111yescharacteristic
384C2×#124—611no—
385C2×#124—611no—
386C2×C4×Q8—611no—
387C2×C4×Q8C2×D6111yescharacteristic
388C2×C4×Q8C2×D6111yescharacteristic
389#497—1224no—
390#464—1224no—
391#462—1224no—
392#462—1224no—
393C2×C4⋊C8—611no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#97—611no—
405#396—1221no—
406#396—1221no—
407#391—611no—
408#391C2×D6111yescharacteristic
409#391C2×D6111yescharacteristic
410#390—611no—
411#389—21no—
412#388—1221no—
413#388—1221no—
414#387—21no—
415#387—21no—
416C4×C4⋊C4—21no—
417C4×C4⋊C4C2×D6111yescharacteristic
418C4×C4⋊C4C2×D6111yescharacteristic
419#340—611no—
420#340—611no—
421#336—611no—
422#336—611no—
423C61#2537911yescharacteristic, complemented, Sylow
424C22×Q8—611no—
425C22×Q8—611no—
426C22×Q8C22×D6111yescharacteristic
427C22×Q8C22×D6111yescharacteristic
428C22×D4—611no—
429C2×Q16—1222no—
430C2×Q16—1222no—
431C2×Q16—1222no—
432C2×Q16—1222no—
433C2×Q16—1222no—
434C2×Q16—1222no—
435C2×Q16—1222no—
436C2×Q16—1222no—
437C2×Q16—2441no—
438C2×Q16—2441no—
439C2×Q16—2441no—
440C2×Q16—2441no—
441C2×SD16—1222no—
442C2×SD16—1222no—
443C2×SD16—1222no—
444C2×SD16—1222no—
445C2×SD16—2441no—
446C2×SD16—2441no—
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—611no—
450C22×C8—611no—
451C4⋊Q8—22no—
452C4⋊Q8—1222no—
453C4⋊Q8—2441no—
454C4⋊Q8D24414yes—
455#124—1222no—
456#124—1222no—
457#124—1222no—
458#124—2441no—
459C4×Q8—22no—
460C4×Q8—22no—
461C4×Q8—41no—
462C4×Q8—41no—
463C4×Q8—1222no—
464C4×Q8—1222no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—611no—
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—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C42—21no—
484C2×C42—21no—
485C2×C42—21no—
486C2×C42—1221no—
487C2×C42C22×D6111yescharacteristic
488C2×C42C22×D6111yescharacteristic
489C2×C42C22×D6111yescharacteristic
490C4⋊C8—1222no—
491C4⋊C8—1222no—
492C4⋊C8—1222no—
493#103—614no—
494#103—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—2441no—
499#102—1222no—
500#102—2441no—
501#97—1222no—
502#95—21no—
503#95—21no—
504#95—21no—
505#95—21no—
506#95—21no—
507#95—1221no—
508#95—1221no—
509#95C22⋊D6111yescharacteristic
510#95C22⋊D6111yescharacteristic
511C24—1221no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—612no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8C2×D24412yes—
535C2×Q8C2×D24412yes—
536C2×D4—1221no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C2×C22⋊D6111yescharacteristic
552C22×C4C2×C22⋊D6111yescharacteristic
553C22×C4C2×C22⋊D6111yescharacteristic
554C22×C4C2×C22⋊D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556Q16—2444no—
557Q16—2444no—
558Q16—2444no—
559Q16—2444no—
560SD16—2444no—
561SD16—2444no—
562C2×C8—612no—
563C2×C8—612no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C2×C8—1221no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—41no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C4⋊C4D4×D6112yes—
589C22⋊C4—2442no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—42no—
600C42—42no—
601C42—42no—
602C42—2442no—
603C42C2×D24412yes—
604C42#1175822212yes—
605C23—2441no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23C22×C22⋊D6111yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—1222no—
622Q8—1222no—
623Q8—2441no—
624Q8—2441no—
625Q8—2441no—
626Q8—2441no—
627Q8—2441no—
628Q8—2441no—
629D4—2441no—
630D4—2441no—
631D4—2441no—
632D4—2441no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—1222no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4#1451975112yes—
670C2×C4#1451975112yes—
671C2×C4#1451980812yes—
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4C22×D24411yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4C2×#1175822211yescharacteristic
676C2×C4#1451982211yescharacteristic
677C2×C4#1451982311yescharacteristic
678C8—1222no—
679C8—1222no—
680C8—2441no—
681C8—2441no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22C2×#1451975111yescharacteristic
690C22D4×C22⋊D6111yescharacteristic
691C22#1684043111yescharacteristic
692C22C2×#1451980811yescharacteristic
693C22#1684056011yescharacteristic
694C22#1684057711yescharacteristic
695C22#1684057711yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—42no—
700C4—42no—
701C4—41no—
702C4—41no—
703C4—42no—
704C4—41no—
705C4—81no—
706C4—4881no—
707C4—4881no—
708C4—2442no—
709C4#1684030911yescharacteristic
710C4#1684036311yescharacteristic
711C4D4×D24411yescharacteristic
712C4#1684040711yescharacteristic
713C2—9761no—
714C2#2144940111yescharacteristic
715C2#2145529111yescharacteristic
716C2#2145534911yescharacteristic
717C2#2145737011yescharacteristic
718C2#2145739011yescharacteristic
719C2#2145884611yescharacteristic
720C2#2145889411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2365C2
socleC23×C61C22×D4
prime radicalC22×D244C23
hypercenter#2365D61
hypocenterC61#25379
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2365

Complements

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

NH ≅ G/Ntype
3. C2×#16839972C2semidirect
4. C2×#16839969C2semidirect
6. #21447141C2semidirect
8. #21446918C2semidirect
11. #21446543C2semidirect
13. #21446160C2semidirect
14. #21445652C2semidirect
15. C61×#2365C2semidirect
358. #2365D61semidirect
423. C61#25379semidirect

Maximal subgroups

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

subgroupindex
C2×#168401542
C2×#168399842
C2×#168399722
C2×#168399692
#214507992
#214471412
#214471342
#214469182
#214469122
#214467512
#214465432
#214461742
#214461602
#214456522
C61×#23652
#2537961