Finite Group Databasebeta

← #29716639

Subgroups — #29716639

Order 15616.

1140 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840472C211yesmaximal, characteristic, complemented
2C2×#16840062C211yesmaximal, characteristic, complemented
3C2×#16839872C211yesmaximal, characteristic
4#21447157C211yesmaximal, characteristic, complemented
5#21447152C211yesmaximal, characteristic, complemented
6#21446965C211yesmaximal, characteristic, complemented
7#21446955C211yesmaximal, characteristic, complemented
8#21446787C211yesmaximal, characteristic, complemented
9#21446760C211yesmaximal, characteristic, complemented
10#21446170C211yesmaximal, characteristic
11#21446170C211yesmaximal, characteristic
12#21446079C211yesmaximal, characteristic, complemented
13#21446065C211yesmaximal, characteristic, complemented
14#21445816C211yesmaximal, characteristic, complemented
15C61×#2538C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17#16840472—24no—
18#16840472—24no—
19C2×#14519777C2211yescharacteristic
20C2×#14519769C2211yescharacteristic
21C2×#14519769C2211yescharacteristic
22C2×#14519755—21no—
23C2×#14519755—21no—
24C2×#14519753—21no—
25C2×C4×D244C2211yescharacteristic
26C2×C4×D244C2211yescharacteristic
27C2×C4×D244C2211yescharacteristic
28C2×C4⋊C4×D61—21no—
29#16840062—24no—
30#16839872—24no—
31C2×#14519710C2211yescharacteristic
32C2×#14519708C2211yescharacteristic
33C2×#14519708C2211yescharacteristic
34C2×C4⋊#92418C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×#14519697C2211yescharacteristic
39C2×#14519697C2211yescharacteristic
40C2×#14519697C2211yescharacteristic
41C2×#14519688C2211yescharacteristic
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51#16839517C2211yescharacteristic
52C2×C22⋊Q8×C61—21no—
53C2×C4×Q8×C61C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C61×#396—21no—
56C61×#396—21no—
57C61×#390C2211yescharacteristic
58C61×#390C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#389C2211yescharacteristic
61C61×#384C2211yescharacteristic
62C61×#380—21no—
63C22×Dic122—21no—
64C22×D244C2311yescharacteristic
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199Q814yescomplemented
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75#14519777—22no—
76#14519777—22no—
77#14519769—22no—
78#14519769—22no—
79#14519769—22no—
80#14519769D414yes—
81#14519755—28no—
82#14519755—28no—
83#14519753—28no—
84C4×D244—22no—
85C4×D244—22no—
86C4×D244—22no—
87C4×D244—22no—
88C4×D244—22no—
89C4×D244D414yes—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C4⋊C4×D61—28no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102#14519710—22no—
103#14519708—22no—
104#14519708—22no—
105C4⋊#92418—22no—
106#14519698—22no—
107#14519698—22no—
108#14519698—22no—
109#14519697—22no—
110#14519697—22no—
111#14519697—22no—
112#14519688—22no—
113C22×Q8×C61D411yescharacteristic
114C22×D4×C61C2311yescharacteristic
115C23×C4×C61—21no—
116C22⋊Q8×C61—44no—
117C4×Q8×C61—22no—
118C4×Q8×C61—22no—
119C4×D4×C61—22no—
120C4×D4×C61—22no—
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61—21no—
123C2×C4⋊C4×C61—21no—
124C2×C4⋊C4×C61—21no—
125C2×C4⋊C4×C61D411yescharacteristic
126C2×C4⋊C4×C61D411yescharacteristic
127C2×C4⋊C4×C61D411yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61—21no—
135C2×C22⋊C4×C61—21no—
136C2×C42×C61C2311yescharacteristic
137C2×C42×C61C2311yescharacteristic
138C2×C42×C61C2311yescharacteristic
139#95×C61—21no—
140#95×C61—21no—
141C24×C61—21no—
142C23×D61—21no—
143C2×Q8×C61—22no—
144C2×Q8×C61—22no—
145C2×Q8×C61—41no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C2×Q812yes—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2411yescharacteristic
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244C2×D412yes—
172C2×D244C2×Q812yes—
173C2×D244#4112yes—
174C2×C4×D61—24no—
175C2×C4×D61—24no—
176C2×C4×D61—24no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C2×C4×D61—81no—
182C2×C4×D61—81no—
183C2×Dic122—24no—
184C2×Dic122—81no—
185C2×Dic122—81no—
186C4⋊C4×C61—22no—
187C4⋊C4×C61—22no—
188C4⋊C4×C61—22no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—42no—
196C4⋊C4×C61—42no—
197C4⋊C4×C61—42no—
198C4⋊C4×C61—81no—
199C22⋊C4×C61—42no—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—42no—
202C22⋊C4×C61—81no—
203C22⋊C4×C61—81no—
204C42×C61—21no—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61C2×D412yes—
209C42×C61C2×D412yes—
210#11758199—28no—
211#11758198—24no—
212#11758198—24no—
213#11758198—24no—
214C4⋊Dic61—24no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61C2×D412yes—
219C4⋊Dic61C2×D412yes—
220C4⋊Dic61C2×D412yes—
221#11758196—24no—
222#11758196—24no—
223#11758196—24no—
224#11758196—24no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418C2×Q812yes—
237C23×C61—22no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252Q8×C61—44no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—41no—
256D4×C61—41no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
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—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
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×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—84no—
282C2×C4×C61#12012yes—
283C2×C4×C61#12012yes—
284C2×C4×C61AGL(1,ℤ/8)12yes—
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×Q811yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C612−1+411yescharacteristic
290C2×C4×C612−1+411yescharacteristic
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300D244—22no—
301D244—22no—
302D244—22no—
303D244C22⋊Q814yescomplemented
304C4×D61—48no—
305C4×D61—84no—
306C4×D61—84no—
307Dic122—84no—
308#92418—22no—
309#92418—41no—
310#92418—41no—
311#92418—41no—
312#24347—611nomaximal, Sylow
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61C2×#12011yescharacteristic
321C22×C61#54811yescharacteristic
322C22×C61D4×Q811yescharacteristic
323C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
324C22×C61#57511yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57711yescharacteristic
327C2×D61—24no—
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C4×C61—22no—
335C4×C61—22no—
336C4×C61—22no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61C2×C22⋊Q811yescharacteristic
344C4×C61#53611yescharacteristic
345C4×C61#54811yescharacteristic
346C4×C61D4×Q811yescharacteristic
347Dic61—42no—
348Dic61—42no—
349Dic61—42no—
350C2×#554—611no—
351C2×#478—611no—
352C2×#442—611no—
353#2538D6111yescharacteristic, complemented
354#2059—611no—
355#2058—611no—
356#2025—611no—
357#2023—611no—
358#1992—611no—
359#1985—611no—
360#1879—611no—
361#1879—611no—
362#1864—611no—
363#1862—611no—
364#1802—611no—
365C2×C61—82no—
366C2×C61#240911yescharacteristic
367C2×C61#300611yescharacteristic
368C2×C61#301211yescharacteristic
369C2×C61#336611yescharacteristic
370C2×C61#337611yescharacteristic
371C2×C61#338411yescharacteristic
372C2×C61#338911yescharacteristic
373D61—44no—
374C22×D8—611no—
375#554—1224no—
376#554—1224no—
377C2×C4⋊Q8—611no—
378C2×#125—611no—
379C2×#125—611no—
380C2×C22⋊Q8—21no—
381C2×C22⋊Q8—1221no—
382C2×C22⋊Q8—1221no—
383C2×C22⋊Q8—1221no—
384C2×C4×Q8C2×D6111yescharacteristic
385C2×C4×D4—611no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×C4×D4C2×D6111yescharacteristic
389C22×C4⋊C4—1221no—
390#478—1224no—
391#442—1224no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106—611no—
395C2×C4⋊C8—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#97—611no—
403#396—21no—
404#396—21no—
405#390C2×D6111yescharacteristic
406#390C2×D6111yescharacteristic
407#389C2×D6111yescharacteristic
408#389C2×D6111yescharacteristic
409#384C2×D6111yescharacteristic
410#380—21no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#336—611no—
418#336—611no—
419#336—611no—
420#336—611no—
421C61#2434711yescharacteristic, complemented, Sylow
422C22×Q8—1221no—
423C22×Q8C22⋊D6111yescharacteristic
424C22×D4—611no—
425C22×D4C22×D6111yescharacteristic
426C23×C4—21no—
427C23×C4—1221no—
428C23×C4—1221no—
429C23×C4—1221no—
430C2×D8—614no—
431C2×D8—1222no—
432C2×D8—1222no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—611no—
437C4⋊Q8—1222no—
438C4⋊Q8—1222no—
439#125—614no—
440#125—1222no—
441#125—1222no—
442#125—1222no—
443C22⋊Q8—44no—
444C22⋊Q8—1228no—
445C22⋊Q8—1228no—
446C22⋊Q8—1228no—
447C4×Q8—22no—
448C4×Q8—22no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—614no—
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1222no—
456C4×D4—1222no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1228no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4C22⋊D6111yescharacteristic
471C2×C4⋊C4C22⋊D6111yescharacteristic
472C2×C4⋊C4C22⋊D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C4⋊C4C22×D6111yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C42C22×D6111yescharacteristic
485C2×C42C22×D6111yescharacteristic
486C2×C42C22×D6111yescharacteristic
487#107—1222no—
488#106—1222no—
489#106—1222no—
490C4⋊C8—1222no—
491#102—1222no—
492#102—1222no—
493#102—1222no—
494#102—1222no—
495#102—1222no—
496#102—1222no—
497#97—1222no—
498#95—21no—
499#95—21no—
500C24—21no—
501C24—1221no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—41no—
505C2×Q8—1224no—
506C2×Q8—4881no—
507C2×Q8—4881no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—612no—
514C2×D4—612no—
515C2×D4—612no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4Q8×D6112yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—1224no—
527C22×C4—1224no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1224no—
532C22×C4—4881no—
533C22×C4—4881no—
534C22×C4—4881no—
535C22×C4—4881no—
536C22×C4—2442no—
537C22×C4—2442no—
538C22×C4C2×C22⋊D6111yescharacteristic
539C22×C4C2×C22⋊D6111yescharacteristic
540C22×C4C2×C22⋊D6111yescharacteristic
541C22×C4C2×C22⋊D6111yescharacteristic
542C22×C4C2×C22⋊D6111yescharacteristic
543C22×C4C2×C22⋊D6111yescharacteristic
544C22×C4C23×D6111yescharacteristic
545D8—1228no—
546C2×C8—612no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—81no—
571C4⋊C4—612no—
572C4⋊C4—612no—
573C4⋊C4—612no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1224no—
581C4⋊C4—1224no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—81no—
586C22⋊C4—81no—
587C22⋊C4—1224no—
588C22⋊C4—1224no—
589C22⋊C4—1224no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42D4×D6112yes—
595C42D4×D6112yes—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—1222no—
604C23—1222no—
605C23—1222no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23C22×C22⋊D6111yescharacteristic
611Q8—44no—
612Q8—4884no—
613D4—22no—
614D4—22no—
615D4—41no—
616D4—41no—
617D4—614no—
618D4—1222no—
619D4—1222no—
620D4—1222no—
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—21no—
634C2×C4—21no—
635C2×C4—21no—
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—84no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—4884no—
650C2×C4—4884no—
651C2×C4—2448no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4#1451974512yes—
659C2×C4#1451974512yes—
660C2×C4#1451980312yes—
661C2×C4C2×D4×D6111yescharacteristic
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4C2×Q8×D6111yescharacteristic
664C2×C4#41×D6111yescharacteristic
665C2×C4#1451982411yescharacteristic
666C2×C4#1451982511yescharacteristic
667C8—1222no—
668C8—2441no—
669C8—2441no—
670C8—2441no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—1224no—
679C22—2442no—
680C22—2442no—
681C22—2442no—
682C22—2442no—
683C22—2442no—
684C22—2442no—
685C22C2×#1451974511yescharacteristic
686C22#1684041911yescharacteristic
687C22Q8×C22⋊D6111yescharacteristic
688C22C2×#1451980311yescharacteristic
689C22#1684056011yescharacteristic
690C22#1684056511yescharacteristic
691C22#1684057011yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—2442no—
702C4—2442no—
703C4—2442no—
704C4C22⋊Q8×D6111yescharacteristic
705C4#1684033511yescharacteristic
706C4#1684042211yescharacteristic
707C4#1684042511yescharacteristic
708C2—82no—
709C2—2444no—
710C2#2144918011yescharacteristic
711C2#2145506911yescharacteristic
712C2#2145512011yescharacteristic
713C2#2145852211yescharacteristic
714C2#2145864011yescharacteristic
715C2#2145871411yescharacteristic
716C2#2145877311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2538C2
socleC23×C61C22×D4
prime radicalC22×#11758199C22
hypercenter#2538D61
hypocenterC61#24347
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2538

Complements

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

NH ≅ G/Ntype
1. C2×#16840472C2semidirect
2. C2×#16840062C2semidirect
4. #21447157C2semidirect
5. #21447152C2semidirect
6. #21446965C2semidirect
7. #21446955C2semidirect
8. #21446787C2semidirect
9. #21446760C2semidirect
12. #21446079C2semidirect
13. #21446065C2semidirect
14. #21445816C2semidirect
15. C61×#2538C2semidirect
70. C2×#11758199Q8semidirect
303. D244C22⋊Q8semidirect
353. #2538D61semidirect
421. C61#24347semidirect

Maximal subgroups

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

subgroupindex
C2×#168404722
C2×#168400622
C2×#168398722
#214471572
#214471522
#214469652
#214469552
#214467872
#214467602
#214461702
#214460792
#214460652
#214458162
C61×#25382
#2434761