Finite Group Databasebeta

← #29713332

Subgroups — #29713332

Order 15616.

1176 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840294C211yesmaximal, characteristic
2C2×#16840094C211yesmaximal, characteristic, complemented
3C2×#16840074C211yesmaximal, characteristic
4#389×D61C211yesmaximal, characteristic, complemented
5#21447160C211yesmaximal, characteristic, complemented
6#21447159C211yesmaximal, characteristic, complemented
7#21447059C211yesmaximal, characteristic, complemented
8#21447058C211yesmaximal, characteristic, complemented
9#21446133C211yesmaximal, characteristic
10#21446125C211yesmaximal, characteristic, complemented
11#21446080C211yesmaximal, characteristic, complemented
12#21446076C211yesmaximal, characteristic, complemented
13#21446072C211yesmaximal, characteristic, complemented
14#21445886C211yesmaximal, characteristic, complemented
15C61×#1864C211yesmaximal, characteristic, complemented
16#16840294—24no—
17#16840294—24no—
18C2×#14519770—21no—
19C2×#14519768C2211yescharacteristic
20C2×#14519764C2211yescharacteristic
21C2×#14519759—21no—
22C2×#14519757C2211yescharacteristic
23C2×#14519748C2211yescharacteristic
24C2×C4×Dic122C2211yescharacteristic
25C2×C4×C22⋊D61—21no—
26C2×#14519736—21no—
27C2×C4⋊C4×D61—21no—
28C2×C4⋊C4×D61C2211yescharacteristic
29C2×C4⋊C4×D61C2211yescharacteristic
30C2×C42×D61C2211yescharacteristic
31#16840094—24no—
32#16840074—24no—
33C2×#14519711C2211yescharacteristic
34C2×#14519710C2211yescharacteristic
35C2×#14519708C2211yescharacteristic
36C2×#14519702C2211yescharacteristic
37C2×#14519702C2211yescharacteristic
38C2×#14519700C2211yescharacteristic
39C2×#14519700C2211yescharacteristic
40C2×#14519698C2211yescharacteristic
41C2×#14519698C2211yescharacteristic
42C2×#14519689C2211yescharacteristic
43C2×#14519689C2211yescharacteristic
44#16839661C2211yescharacteristic
45#16839660C2211yescharacteristic
46#16839659—21no—
47#16839658C2211yescharacteristic
48#16839657—21no—
49#95×D61—21no—
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839517C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C2×#106×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C61×#389C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×C22⋊D61—21no—
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D411yescharacteristic
69C22×C4×D61C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519770—28no—
73#14519768—22no—
74#14519768—22no—
75#14519764—22no—
76#14519764—22no—
77#14519759—28no—
78#14519757—22no—
79#14519757D414yes—
80#14519748—22no—
81#14519748D414yes—
82C4×Dic122—22no—
83C4×Dic122—22no—
84C4×C22⋊D61—28no—
85#14519736—28no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C4⋊C4×D61—22no—
99C4⋊C4×D61—22no—
100C4⋊C4×D61—22no—
101C4⋊C4×D61—22no—
102C4⋊C4×D61—44no—
103C2×C22⋊Dic61—21no—
104C2×C22⋊Dic61—21no—
105C2×C22⋊Dic61—21no—
106C2×#11758198—21no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61D411yescharacteristic
110C2×C4×Dic61C2311yescharacteristic
111C42×D61—22no—
112C42×D61—22no—
113#14519711—22no—
114#14519710—22no—
115#14519708—22no—
116#14519702—22no—
117#14519702—22no—
118#14519700—22no—
119#14519700—22no—
120#14519698—22no—
121#14519698—22no—
122#14519689—22no—
123#14519689—22no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127C22×D4×C61C2311yescharacteristic
128C23×C4×C61—21no—
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C4×D4×C61—22no—
132C4×D4×C61—22no—
133C2×C4⋊C4×C61—21no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C22⋊C4×C61—21no—
138C2×C42×C61C2311yescharacteristic
139#106×C61—22no—
140#102×C61—22no—
141#102×C61—22no—
142#95×C61—21no—
143C24×C61—21no—
144C23×D61C2×D411yescharacteristic
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61C2×D412yes—
151C22×C4×C61—24no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—24no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—24no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—41no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61C2×D412yes—
187C2×C4×D61C2×D412yes—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122C2×D412yes—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—42no—
205C4⋊C4×C61C2×D412yes—
206C4⋊C4×C61#4112yes—
207C22⋊C4×C61—24no—
208C42×C61—21no—
209C42×C61—21no—
210C22⋊Dic61—24no—
211C22⋊Dic61—24no—
212C22⋊Dic61—24no—
213#11758198—24no—
214C4⋊Dic61—24no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—24no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—42no—
221C4⋊Dic61C2×D412yes—
222C4⋊Dic61#4112yes—
223#11758196—24no—
224#11758196—24no—
225#11758196—24no—
226#11758196—42no—
227#11758196—42no—
228#11758196—42no—
229C4×Dic61—24no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—22no—
233C4×Dic61—22no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61C22×D411yescharacteristic
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61#12012yes—
253C22×D61#13512yes—
254C22×D61AGL(1,ℤ/8)12yes—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61—41no—
258D4×C61—41no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—48no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61#13712yes—
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C612−1+411yescharacteristic
280C2×C4×C612−1+411yescharacteristic
281C22⋊D61—48no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61#12012yes—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—44no—
308C4×D61—48no—
309C4×D61—44no—
310C4×D61—84no—
311Dic122—22no—
312Dic122—22no—
313Dic122—41no—
314Dic122—41no—
315C8×C61—41no—
316C8×C61—41no—
317#92418—41no—
318#92418—41no—
319#24066—611nomaximal, Sylow
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61C2×#12011yescharacteristic
328C22×C61#52511yescharacteristic
329C22×C61#53611yescharacteristic
330C22×C61C2×#13511yescharacteristic
331C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C61C2×#13711yescharacteristic
333C22×C61#57511yescharacteristic
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61#44914yes—
341C4×C61—22no—
342C4×C61—42no—
343C4×C61—41no—
344C4×C61—42no—
345C4×C61—81no—
346C4×C61#54711yescharacteristic
347C4×C61#54711yescharacteristic
348C4×C61#54711yescharacteristic
349C4×C61#54711yescharacteristic
350Dic61—22no—
351Dic61—42no—
352Dic61—42no—
353Dic61—41no—
354Dic61—42no—
355Dic61—41no—
356Dic61—81no—
357C2×#529—611no—
358C2×#483—611no—
359C2×#480—611no—
360C2×#389—611no—
361#2059—611no—
362#2059—611no—
363#2042—611no—
364#2042—611no—
365#1874—611no—
366#1872—611no—
367#1864—611no—
368#1864D6111yescharacteristic, complemented
369#1863—611no—
370#1863—611no—
371#1817—611no—
372C2×C61—82no—
373C2×C61#240611yescharacteristic
374C2×C61C2×#44911yescharacteristic
375C2×C61#300711yescharacteristic
376C2×C61#310811yescharacteristic
377C2×C61#311411yescharacteristic
378C2×C61#323211yescharacteristic
379C2×C61#323811yescharacteristic
380D61—24no—
381#529—1224no—
382#529—1224no—
383C2×#126—1221no—
384C2×#125—611no—
385C2×#124—611no—
386C2×#123—1221no—
387C2×C22⋊Q8—611no—
388C2×#121—611no—
389C2×C4×Q8—611no—
390C2×C4×D4—1221no—
391C2×C4×D4C2×D6111yescharacteristic
392C2×#117—1221no—
393C22×C4⋊C4—611no—
394C22×C4⋊C4—611no—
395C22×C4⋊C4—1221no—
396C22×C42—611no—
397#483—1224no—
398#480—1224no—
399C2×#107—611no—
400C2×#107—611no—
401C2×#106—611no—
402C2×#106C2×D6111yescharacteristic
403C2×#103—611no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102C2×D6111yescharacteristic
410C2×#102C2×D6111yescharacteristic
411C2×C22⋊C8—611no—
412C2×C22⋊C8—611no—
413#389—611no—
414#389—611no—
415#389—611no—
416#389—1221no—
417#389—1221no—
418#389C2×D6111yescharacteristic
419C2×#95—1221no—
420#340—611no—
421#340—611no—
422#340—611no—
423#340C2×D6111yescharacteristic
424#336—611no—
425#336—611no—
426#336—611no—
427#336C2×D6111yescharacteristic
428C61#2406611yescharacteristic, complemented, Sylow
429C22×Q8—611no—
430C22×D4—1221no—
431C22×D4C22×D6111yescharacteristic
432C23×C4—21no—
433C23×C4—611no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—1221no—
437C23×C4—1221no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442#126—1228no—
443#125—1222no—
444#125—1222no—
445#124—1222no—
446#124—1222no—
447#123—1228no—
448C22⋊Q8—614no—
449C22⋊Q8—1222no—
450#121—614no—
451#121—1222no—
452C4×Q8—1222no—
453C4×Q8—1222no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—1228no—
457#117—1228no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—1222no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1222no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—2444no—
476C2×C4⋊C4C22×D6111yescharacteristic
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—1222no—
488C2×C42—1222no—
489C2×C42—1221no—
490C2×C42C22×D6111yescharacteristic
491#107—1222no—
492#107—1222no—
493#106—22no—
494#106—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—1222no—
499#102—22no—
500#102—22no—
501#102—1222no—
502#102—1222no—
503C22⋊C8—1222no—
504C22⋊C8—1222no—
505#95—21no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509C24—21no—
510C24—611no—
511C2×Q8—612no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—1224no—
523C2×D4—2442no—
524C2×D4—2442no—
525C2×D4D4×D6112yes—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—611no—
533C22×C4—612no—
534C22×C4—612no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1224no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1222no—
550C22×C4—1221no—
551C22×C4—2441no—
552C22×C4—2442no—
553C22×C4—2442no—
554C22×C4—2442no—
555C22×C4—2442no—
556C22×C4—2442no—
557C22×C4D4×D6111yescharacteristic
558C22×C4D4×D6111yescharacteristic
559C22×C4C23×D6111yescharacteristic
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—612no—
578C4⋊C4—612no—
579C4⋊C4—1224no—
580C4⋊C4—1224no—
581C4⋊C4—1224no—
582C4⋊C4—1224no—
583C4⋊C4—1224no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—2442no—
589C4⋊C4—2442no—
590C4⋊C4—2442no—
591C4⋊C4—2442no—
592C4⋊C4#1175822212yes—
593C4⋊C4D4×D6112yes—
594C22⋊C4—24no—
595C22⋊C4—1224no—
596C22⋊C4—1224no—
597C22⋊C4—1224no—
598C22⋊C4—1224no—
599C42—21no—
600C42—21no—
601C42—1222no—
602C42—1222no—
603C42—1224no—
604C42—1221no—
605C42—1221no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—612no—
614C23—612no—
615C23—612no—
616C23—1221no—
617C23—1221no—
618C23—1221no—
619C23—1221no—
620C23C2×D4×D6111yescharacteristic
621Q8—1222no—
622Q8—1222no—
623Q8—2441no—
624Q8—2441no—
625D4—22no—
626D4—22no—
627D4—41no—
628D4—41no—
629D4—2448no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—48no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—612no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—4884no—
662C2×C4—2444no—
663C2×C4—2444no—
664C2×C4—2448no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4#1451980612yes—
675C2×C4C2×D4×D6111yescharacteristic
676C2×C4C2×D4×D6111yescharacteristic
677C2×C4#41×D6111yescharacteristic
678C2×C4C2×#1175822211yescharacteristic
679C2×C4#1451982411yescharacteristic
680C2×C4#1451982511yescharacteristic
681C8—41no—
682C8—41no—
683C8—2441no—
684C8—2441no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—614no—
693C22—1222no—
694C22—1222no—
695C22—1222no—
696C22—1222no—
697C22—1222no—
698C22—1222no—
699C22#120×D6111yescharacteristic
700C22#1684027111yescharacteristic
701C22#1684033511yescharacteristic
702C22#135×D6111yescharacteristic
703C22AGL(1,ℤ/8)×D6111yescharacteristic
704C22C2×#1451980611yescharacteristic
705C22#1684055811yescharacteristic
706C4—22no—
707C4—42no—
708C4—41no—
709C4—42no—
710C4—81no—
711C4—1222no—
712C4—4881no—
713C4—2442no—
714C4—2441no—
715C4—2442no—
716C4—2442no—
717C4—2441no—
718C4#1684041011yescharacteristic
719C4#1684041311yescharacteristic
720C4#1684041411yescharacteristic
721C4#1684041711yescharacteristic
722C2—82no—
723C2—1224no—
724C2#2144915211yescharacteristic
725C2#449×D6111yescharacteristic
726C2#2145507411yescharacteristic
727C2#2145589711yescharacteristic
728C2#2145595511yescharacteristic
729C2#2145698511yescharacteristic
730C2#2145703911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1864C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
hypercenter#1864D61
hypocenterC61#24066
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
2. C2×#16840094C2semidirect
4. #389×D61C2semidirect
5. #21447160C2semidirect
6. #21447159C2semidirect
7. #21447059C2semidirect
8. #21447058C2semidirect
10. #21446125C2semidirect
11. #21446080C2semidirect
12. #21446076C2semidirect
13. #21446072C2semidirect
14. #21445886C2semidirect
15. C61×#1864C2semidirect
368. #1864D61semidirect
428. C61#24066semidirect

Maximal subgroups

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

subgroupindex
C2×#168402942
C2×#168400942
C2×#168400742
#389×D612
#214471602
#214471592
#214470592
#214470582
#214461332
#214461252
#214460802
#214460762
#214460722
#214458862
C61×#18642
#2406661