Finite Group Databasebeta

← #29730655

Subgroups — #29730655

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×#16840157C211yesmaximal, characteristic
2C2×#16839981C211yesmaximal, characteristic
3C2×#16839972C211yesmaximal, characteristic, complemented
4C2×#16839969C211yesmaximal, characteristic, complemented
5#21448875C211yesmaximal, characteristic, complemented
6#21447141C211yesmaximal, characteristic, complemented
7#21447136C211yesmaximal, characteristic
8#21446919C211yesmaximal, characteristic, complemented
9#21446913C211yesmaximal, characteristic
10#21446752C211yesmaximal, characteristic
11#21446543C211yesmaximal, characteristic, complemented
12#21446177C211yesmaximal, characteristic
13#21446163C211yesmaximal, characteristic, complemented
14#21445649C211yesmaximal, characteristic, complemented
15C61×#2545C211yesmaximal, characteristic
16C22×#11758202C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C22×#11758202C2211yescharacteristic
20C22×#11758200C2211yescharacteristic
21C22×#11758200C2211yescharacteristic
22C2×#14519777C2211yescharacteristic
23C2×C4×Dic122C2211yescharacteristic
24C2×C4×Dic122C2211yescharacteristic
25#16840157—24no—
26#16839981—24no—
27#16839972—24no—
28#16839969—24no—
29C2×C4⋊#92418C2211yescharacteristic
30C2×C4⋊#92418C2211yescharacteristic
31C2×C4⋊#92418C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519700C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39C2×#14519698C2211yescharacteristic
40C2×#14519688C2211yescharacteristic
41#16839668C2211yescharacteristic
42#16839668C2211yescharacteristic
43#16839658—21no—
44#16839645—21no—
45#16839645—21no—
46C4⋊C4×Dic61—21no—
47C4×C4⋊Dic61C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839517C2211yescharacteristic
51#16839517C2211yescharacteristic
52C2×C4⋊Q8×C61C2211yescharacteristic
53C2×#124×C61C2211yescharacteristic
54C2×#124×C61C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C61×#396—21no—
57C61×#396—21no—
58C61×#391C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C61×#388—21no—
61C61×#388—21no—
62C4×C4⋊C4×C61C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×Dic122C2311yescharacteristic
65C2×#11758202—22no—
66C2×#11758202—22no—
67C2×#11758202—22no—
68C2×#11758202—22no—
69C2×#11758202—22no—
70C2×#11758202—22no—
71C2×#11758202—22no—
72C2×#11758202—22no—
73C2×#11758202—41no—
74C2×#11758202—41no—
75C2×#11758202—41no—
76C2×#11758202—41no—
77C2×#11758200—22no—
78C2×#11758200—22no—
79C2×#11758200—22no—
80C2×#11758200—22no—
81C2×#11758200—41no—
82C2×#11758200—41no—
83C22×#92418C2311yescharacteristic
84C22×#92418C2311yescharacteristic
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87#14519777—22no—
88#14519777D414yes—
89C4×Dic122—22no—
90C4×Dic122—22no—
91C4×Dic122—41no—
92C4×Dic122—41no—
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61—21no—
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61—21no—
102C4⋊#92418—22no—
103C4⋊#92418—22no—
104C4⋊#92418—22no—
105#14519701—22no—
106#14519701—22no—
107#14519701—41no—
108#14519701D414yes—
109#14519700—22no—
110#14519700—22no—
111#14519698—22no—
112#14519698—41no—
113#14519688—22no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119C22×Q8×C61C2311yescharacteristic
120C22×Q8×C61C2311yescharacteristic
121C22×D4×C61C2311yescharacteristic
122C4⋊Q8×C61—22no—
123C4⋊Q8×C61—41no—
124#124×C61—22no—
125#124×C61—22no—
126#124×C61—22no—
127#124×C61—41no—
128C4×Q8×C61—22no—
129C4×Q8×C61—22no—
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×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138C2×C22⋊C4×C61—21no—
139C2×C22⋊C4×C61—21no—
140C2×C22⋊C4×C61—21no—
141C2×C22⋊C4×C61—21no—
142C2×C42×C61—21no—
143C2×C42×C61C2311yescharacteristic
144C2×C42×C61C2311yescharacteristic
145C2×C42×C61C2311yescharacteristic
146#95×C61—21no—
147#95×C61—21no—
148#95×C61D411yescharacteristic
149#95×C61D411yescharacteristic
150C24×C61—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×C61—21no—
162C2×Q8×C61C2×D412yes—
163C2×D4×C61—21no—
164C2×D4×C61—21no—
165C2×D4×C61—21no—
166C2×D4×C61—21no—
167C2×D4×C61—21no—
168C2×D4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D411yescharacteristic
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2411yescharacteristic
179C22×Dic61—21no—
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—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×Dic122C2×D412yes—
194C2×Dic122C2×D412yes—
195C4⋊C4×C61—22no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—41no—
199C4⋊C4×C61—42no—
200C4⋊C4×C61—42no—
201C4⋊C4×C61—42no—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—42no—
204C22⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—42no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—42no—
213C42×C61C2×D412yes—
214C42×C61#4112yes—
215#11758202—44no—
216#11758202—44no—
217#11758202—44no—
218#11758202—44no—
219#11758200—44no—
220#11758200—44no—
221C4⋊Dic61—24no—
222C4⋊Dic61—24no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61C2×D412yes—
227#11758196—42no—
228#11758196—42no—
229C4×Dic61—42no—
230C4×Dic61—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×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61C22×D411yescharacteristic
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—41no—
255Q8×C61—41no—
256Q8×C61—41no—
257Q8×C61—41no—
258Q8×C61—41no—
259Q8×C61—41no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—41no—
263D4×C61—41no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—22no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
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—41no—
288C2×C4×C61#12112yes—
289C2×C4×C61#12112yes—
290C2×C4×C61#13712yes—
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61H(5,𝔽2)11yescharacteristic
296C2×C4×C61H(5,𝔽2)11yescharacteristic
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309Dic122—22no—
310Dic122—22no—
311Dic122—22no—
312Dic122—22no—
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×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61C2×#12111yescharacteristic
330C22×C61D4211yescharacteristic
331C22×C61#55011yescharacteristic
332C22×C61C2×#13711yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57811yescharacteristic
335C22×C61#57811yescharacteristic
336C4×C61—22no—
337C4×C61—22no—
338C4×C61—22no—
339C4×C61—42no—
340C4×C61—41no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—81no—
344C4×C61—81no—
345C4×C61#53211yescharacteristic
346C4×C61#54011yescharacteristic
347C4×C61D4211yescharacteristic
348C4×C61#54611yescharacteristic
349Dic61—42no—
350Dic61—42no—
351Dic61—42no—
352Dic61—81no—
353C2×#497—611no—
354C2×#464—611no—
355C2×#462—611no—
356C2×#462—611no—
357#2545D6111yescharacteristic
358#2365—611no—
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—161no—
369C2×C61#242811yescharacteristic
370C2×C61#303711yescharacteristic
371C2×C61#304411yescharacteristic
372C2×C61#326911yescharacteristic
373C2×C61#327011yescharacteristic
374C2×C61#339811yescharacteristic
375C2×C61#340211yescharacteristic
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×#124C2×D6111yescharacteristic
385C2×#124C2×D6111yescharacteristic
386C2×C4×Q8—611no—
387C2×C4×Q8—611no—
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—21no—
406#396—21no—
407#391—611no—
408#391—611no—
409#391C2×D6111yescharacteristic
410#390C2×D6111yescharacteristic
411#389—1221no—
412#388—21no—
413#388—21no—
414#387—1221no—
415#387—1221no—
416C4×C4⋊C4—611no—
417C4×C4⋊C4—1221no—
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×D4C22×D6111yescharacteristic
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—41no—
453C4⋊Q8—614no—
454C4⋊Q8—1222no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459C4×Q8—22no—
460C4×Q8—22no—
461C4×Q8—1222no—
462C4×Q8—1222no—
463C4×Q8—2441no—
464C4×Q8—2441no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
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×C42—21no—
484C2×C42—1221no—
485C2×C42—1221no—
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—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95C22⋊D6111yescharacteristic
510#95C22⋊D6111yescharacteristic
511C24—21no—
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—21no—
523C2×Q8—612no—
524C2×Q8—612no—
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×Q8—1221no—
535C2×Q8D4×D6112yes—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—1221no—
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—21no—
577C4⋊C4—41no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—612no—
582C4⋊C4—1221no—
583C4⋊C4—1224no—
584C4⋊C4—1224no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—2442no—
588C4⋊C4—2442no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—42no—
600C42—2442no—
601C42—2442no—
602C42—2442no—
603C42D4×D6112yes—
604C42#1175822412yes—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23C22×C22⋊D6111yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—1222no—
622Q8—1222no—
623Q8—1222no—
624Q8—1222no—
625Q8—2441no—
626Q8—2441no—
627Q8—2441no—
628Q8—2441no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—41no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—2441no—
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#1451974812yes—
670C2×C4#1451974812yes—
671C2×C4#1451980712yes—
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4C2×#1175822411yescharacteristic
676C2×C4#1451982211yescharacteristic
677C2×C4#1451982311yescharacteristic
678C8—1222no—
679C8—1222no—
680C8—2441no—
681C8—2441no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1451974811yescharacteristic
690C22D4×C22⋊D6111yescharacteristic
691C22#1684043111yescharacteristic
692C22C2×#1451980711yescharacteristic
693C22#1684056011yescharacteristic
694C22#1684057711yescharacteristic
695C22#1684057711yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—4881no—
706C4—2442no—
707C4—2442no—
708C4—2442no—
709C4#1684030711yescharacteristic
710C4#1684036511yescharacteristic
711C4#1684039611yescharacteristic
712C4#1684040911yescharacteristic
713C2—161no—
714C2#2144940311yescharacteristic
715C2#2145528711yescharacteristic
716C2#2145534511yescharacteristic
717C2#2145737511yescharacteristic
718C2#2145738511yescharacteristic
719C2#2145885011yescharacteristic
720C2#2145889411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2545C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
hypercenter#2545D61
hypocenterC61#25379
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2545

Complements

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

NH ≅ G/Ntype
3. C2×#16839972C2semidirect
4. C2×#16839969C2semidirect
5. #21448875C2semidirect
6. #21447141C2semidirect
8. #21446919C2semidirect
11. #21446543C2semidirect
13. #21446163C2semidirect
14. #21445649C2semidirect
423. C61#25379semidirect

Maximal subgroups

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

subgroupindex
C2×#168401572
C2×#168399812
C2×#168399722
C2×#168399692
#214488752
#214471412
#214471362
#214469192
#214469132
#214467522
#214465432
#214461772
#214461632
#214456492
C61×#25452
#2537961