Finite Group Databasebeta

← #29731132

Subgroups — #29731132

Order 15616.

970 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×#16840140C211yesmaximal, characteristic, complemented
2C2×#16840001C211yesmaximal, characteristic
3C2×#16840001C211yesmaximal, characteristic
4C2×#16839854C211yesmaximal, characteristic, complemented
5#21449420C211yesmaximal, characteristic
6#21449414C211yesmaximal, characteristic
7#21447064C211yesmaximal, characteristic, complemented
8#21447063C211yesmaximal, characteristic, complemented
9#21446829C211yesmaximal, characteristic
10#21446677C211yesmaximal, characteristic, complemented
11#21446551C211yesmaximal, characteristic, complemented
12#21446162C211yesmaximal, characteristic, complemented
13#21446161C211yesmaximal, characteristic, complemented
14#21445593C211yesmaximal, characteristic
15C61×#2001C211yesmaximal, characteristic
16C22×Dic244C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C23×#92418C2211yescharacteristic
20C2×#14519775C2211yescharacteristic
21C2×#14519775C2211yescharacteristic
22C2×#14519756C2211yescharacteristic
23C2×#14519756C2211yescharacteristic
24C2×Q8×Dic61C2211yescharacteristic
25C2×#14519742C2211yescharacteristic
26#16840140—24no—
27#16840001—24no—
28#16840001—24no—
29#16839854—24no—
30C2×#14519710C2211yescharacteristic
31C2×#14519710C2211yescharacteristic
32C2×#14519702C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519700C2211yescharacteristic
38C2×C8×Dic61C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839695—21no—
41#16839693—21no—
42#16839685—21no—
43#16839685—21no—
44#16839669C2211yescharacteristic
45#16839667C2211yescharacteristic
46#16839661C2211yescharacteristic
47#16839658—21no—
48#16839658C2211yescharacteristic
49#16839657—21no—
50#16839656—21no—
51#16839650—21no—
52C4×C22⋊Dic61C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C22×Q16×C61C2211yescharacteristic
57C2×C22⋊Q8×C61C2211yescharacteristic
58C2×C22⋊Q8×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#103×C61C2211yescharacteristic
61C2×C22⋊C8×C61C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×Dic122C2311yescharacteristic
65C2×Dic244—22no—
66C2×Dic244—22no—
67C2×Dic244—41no—
68C2×#11758202—22no—
69C2×#11758202—22no—
70C2×#11758202—22no—
71C2×#11758202—22no—
72C2×#11758202—22no—
73C2×#11758202D414yes—
74C22×#92418—22no—
75C22×#92418—22no—
76C22×#92418—22no—
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79#14519775—22no—
80#14519775—22no—
81#14519775—41no—
82#14519775—41no—
83#14519756—22no—
84#14519756—22no—
85#14519756—41no—
86#14519756—41no—
87Q8×Dic61—22no—
88Q8×Dic61—41no—
89#14519742—22no—
90#14519742—41no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61—21no—
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×C22⋊Dic61—21no—
104C2×C22⋊Dic61—21no—
105C2×C22⋊Dic61D411yescharacteristic
106C2×C22⋊Dic61D411yescharacteristic
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110C2×C4×Dic61C2311yescharacteristic
111#14519710—22no—
112#14519710D414yes—
113#14519702—22no—
114#14519702—41no—
115#14519701—22no—
116#14519701—22no—
117#14519700—22no—
118#14519700—22no—
119C8×Dic61—22no—
120C8×Dic61—22no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127#14519684D411yescharacteristic
128#14519684D411yescharacteristic
129C22×Q8×C61C2311yescharacteristic
130C22×Q8×C61C2311yescharacteristic
131C23×C4×C61C2311yescharacteristic
132C2×Q16×C61—22no—
133C2×Q16×C61—22no—
134C2×Q16×C61—41no—
135C22×C8×C61C2311yescharacteristic
136C22×C8×C61C2311yescharacteristic
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61—22no—
139C22⋊Q8×C61—41no—
140C22⋊Q8×C61—41no—
141C2×C4⋊C4×C61—21no—
142C2×C4⋊C4×C61—21no—
143C2×C4⋊C4×C61C2311yescharacteristic
144C2×C4⋊C4×C61C2311yescharacteristic
145C2×C22⋊C4×C61—21no—
146C2×C22⋊C4×C61—21no—
147#103×C61—22no—
148#103×C61—41no—
149C22⋊C8×C61—22no—
150C24×C61C2×D411yescharacteristic
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—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2411yescharacteristic
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
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—
195Q16×C61—44no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61#4112yes—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—42no—
206C4⋊C4×C61—42no—
207C4⋊C4×C61C2×D412yes—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—42no—
210C22⋊Dic61—22no—
211C22⋊Dic61—42no—
212C22⋊Dic61—42no—
213C22⋊Dic61Q1614yescomplemented
214#11758202—28no—
215#11758202—44no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—42no—
220C4⋊Dic61—42no—
221C4⋊Dic61C2×D412yes—
222#11758196—42no—
223#11758196—42no—
224#11758196—42no—
225#11758196—42no—
226#11758196—42no—
227#11758196—42no—
228#11758196—42no—
229#11758196—42no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—21no—
233C4×Dic61—21no—
234C4×Dic61—42no—
235C4×Dic61—42no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—44no—
240C2×#92418C2×D412yes—
241C2×#92418C2×D412yes—
242C2×#92418#4112yes—
243Dic244—44no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—21no—
249C23×C61—21no—
250C23×C61C2×Q1612yes—
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—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
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—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61C2×Q1612yes—
307C2×Dic61C2×Q1612yes—
308C2×Dic61#13512yes—
309Dic122—22no—
310Dic122—22no—
311Dic122—41no—
312Dic122—41no—
313Dic122—41no—
314Dic122—41no—
315Dic122—41no—
316Dic122—41no—
317C8×C61—22no—
318C8×C61—41no—
319#92418—41no—
320#92418#12114yes—
321#25415—611nomaximal, Sylow
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61#53211yescharacteristic
330C22×C61D4211yescharacteristic
331C22×C61D4211yescharacteristic
332C22×C61C22×Q1611yescharacteristic
333C22×C61C2×#13511yescharacteristic
334C22×C61#57811yescharacteristic
335C22×C61#57811yescharacteristic
336C4×C61—41no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61C2×#12111yescharacteristic
342C4×C61#54011yescharacteristic
343C4×C61#54611yescharacteristic
344C4×C61#55011yescharacteristic
345Dic61—22no—
346Dic61—22no—
347Dic61—22no—
348Dic61—42no—
349Dic61—41no—
350Dic61—42no—
351Dic61—81no—
352Dic61—81no—
353C2×#494—611no—
354C2×#467—611no—
355C2×#467—611no—
356C2×C4×Q16—611no—
357#2429—611no—
358#2429—611no—
359#2043—611no—
360#2043—611no—
361#2001—611no—
362#2001D6111yescharacteristic
363#1969—611no—
364#1942—611no—
365#1878—611no—
366#1878—611no—
367C8×C22⋊C4—611no—
368C2×C61—42no—
369C2×C61#242811yescharacteristic
370C2×C61#317011yescharacteristic
371C2×C61#317711yescharacteristic
372C2×C61#328311yescharacteristic
373C2×C61#328511yescharacteristic
374C2×C61D4×Q1611yescharacteristic
375C2×C61D4×Q1611yescharacteristic
376C22×Q16—611no—
377C22×Q16—611no—
378C22×Q16—611no—
379C22×Q16C2×D6111yescharacteristic
380C23×C8—611no—
381C2×C4⋊Q8—611no—
382C2×C4⋊Q8—611no—
383C2×C22⋊Q8—611no—
384C2×C22⋊Q8—611no—
385C2×C22⋊Q8C2×D6111yescharacteristic
386C2×C22⋊Q8C2×D6111yescharacteristic
387C2×C4×Q8—611no—
388C2×C4×Q8—611no—
389#494—1224no—
390#467—1224no—
391#467—1224no—
392C4×Q16—1224no—
393C2×#107—611no—
394C2×#107—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103C2×D6111yescharacteristic
402C2×#103C2×D6111yescharacteristic
403C2×C22⋊C8C2×D6111yescharacteristic
404C2×C4×C8—611no—
405C2×C4×C8—611no—
406#398—1221no—
407#398—1221no—
408#396—1221no—
409#396—1221no—
410#391—611no—
411#391—611no—
412#389—611no—
413#389—611no—
414#389—1221no—
415#389—1221no—
416#388—1221no—
417#388—1221no—
418C4×C22⋊C4—611no—
419#340—611no—
420#340C2×D6111yescharacteristic
421#336—611no—
422#336—611no—
423C61#2541511yescharacteristic, complemented, Sylow
424C22×Q8—611no—
425C22×Q8—611no—
426C22×Q8C22×D6111yescharacteristic
427C22×Q8C22×D6111yescharacteristic
428C23×C4C22×D6111yescharacteristic
429C2×Q16—22no—
430C2×Q16—22no—
431C2×Q16—41no—
432C2×Q16—614no—
433C2×Q16—1222no—
434C2×Q16—1222no—
435C2×Q16—1222no—
436C2×Q16—1222no—
437C2×Q16—1222no—
438C2×Q16—1222no—
439C2×Q16—1222no—
440C2×Q16—2441no—
441C22×C8—611no—
442C22×C8—611no—
443C22×C8—1222no—
444C22×C8—1222no—
445C22×C8—1222no—
446C22×C8C22×D6111yescharacteristic
447C22×C8C22×D6111yescharacteristic
448C4⋊Q8—1222no—
449C4⋊Q8—1222no—
450C4⋊Q8—2441no—
451C4⋊Q8—2441no—
452C22⋊Q8—22no—
453C22⋊Q8—22no—
454C22⋊Q8—41no—
455C22⋊Q8—41no—
456C22⋊Q8—1222no—
457C22⋊Q8—1222no—
458C22⋊Q8—2441no—
459C22⋊Q8—2441no—
460C4×Q8—1222no—
461C4×Q8—1222no—
462C4×Q8—2441no—
463C4×Q8—2441no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—1221no—
489C2×C42—1221no—
490#107—614no—
491#107—1222no—
492#103—22no—
493#103—41no—
494#103—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—1222no—
499#103—2441no—
500C22⋊C8—22no—
501C4×C8—1222no—
502C4×C8—1222no—
503#95—611no—
504#95—611no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511C24D4×D6111yescharacteristic
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—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×Q8—1221no—
535C2×Q8D4×D6112yes—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4D4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556Q16—44no—
557Q16—1228no—
558Q16—2444no—
559Q16—2444no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—612no—
566C2×C8—612no—
567C2×C8—612no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—2444no—
572C2×C8#1175822412yes—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—612no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—2442no—
583C4⋊C4—2442no—
584C4⋊C4—2442no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C4⋊C4—2442no—
589C4⋊C4—2442no—
590C4⋊C4—2442no—
591C4⋊C4—2442no—
592C4⋊C4D4×D6112yes—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—614no—
596C22⋊C4—1222no—
597C22⋊C4—2442no—
598C22⋊C4—2442no—
599C42—1221no—
600C42—1221no—
601C42—1221no—
602C42—1221no—
603C42—2442no—
604C42—2442no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23Q16×D6112yes—
612C23C2×D4×D6111yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—1222no—
622Q8—1222no—
623Q8—2441no—
624Q8—2441no—
625Q8—2441no—
626Q8—2441no—
627Q8—2441no—
628Q8—2441no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—612no—
649C2×C4—612no—
650C2×C4—612no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4C2×#1175822411yescharacteristic
676C2×C4#1451982211yescharacteristic
677C2×C4#1451982211yescharacteristic
678C8—22no—
679C8—41no—
680C8—614no—
681C8—2441no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22#1684030711yescharacteristic
690C22#1684039411yescharacteristic
691C22#1684039411yescharacteristic
692C22C2×Q16×D6111yescharacteristic
693C22#135×D6111yescharacteristic
694C22#1684057811yescharacteristic
695C22#1684057811yescharacteristic
696C4—42no—
697C4—41no—
698C4—42no—
699C4—81no—
700C4—81no—
701C4—1222no—
702C4—1222no—
703C4—1222no—
704C4—4881no—
705C4—4881no—
706C4—2441no—
707C4—2442no—
708C4—2442no—
709C4#121×D6111yescharacteristic
710C4#1684036211yescharacteristic
711C4#1684039911yescharacteristic
712C4#1684043211yescharacteristic
713C2—42no—
714C2#2144940011yescharacteristic
715C2#2145640011yescharacteristic
716C2#2145647311yescharacteristic
717C2#2145753411yescharacteristic
718C2#2145755811yescharacteristic
719C2#2145756411yescharacteristic
720C2#2145756411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2001C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
hypercenter#2001D61
hypocenterC61#25415
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2001

Complements

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

NH ≅ G/Ntype
1. C2×#16840140C2semidirect
4. C2×#16839854C2semidirect
7. #21447064C2semidirect
8. #21447063C2semidirect
10. #21446677C2semidirect
11. #21446551C2semidirect
12. #21446162C2semidirect
13. #21446161C2semidirect
213. C22⋊Dic61Q16semidirect
423. C61#25415semidirect

Maximal subgroups

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

subgroupindex
C2×#168401402
C2×#168400012
C2×#168398542
#214494202
#214494142
#214470642
#214470632
#214468292
#214466772
#214465512
#214461622
#214461612
#214455932
C61×#20012
#2541561