Finite Group Databasebeta

← C2×#21446816 #29706796

Subgroups — C2×#21446816 #29706796

Order 15616.

2870 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11758199C211yesmaximal, characteristic, complemented
2C22×#14519752C211yesmaximal, characteristic, complemented
3C22×#14519748C211yesmaximal, characteristic, complemented
4C22×#14519699C211yesmaximal, characteristic, complemented
5C22×#14519689C211yesmaximal, characteristic, complemented
6#21446816C218yesmaximal, direct product factor
7C2×#16839524C211yesmaximal, characteristic, complemented
8C22×#102×C61C211yesmaximal, characteristic, complemented
9C23×D244—21no—
10C23×D244C2211yescharacteristic
11C23×C22⋊D61—21no—
12C23×C4×D61C2211yescharacteristic
13C22×#11758199—24no—
14C22×#11758199—24no—
15C22×#11758199—24no—
16C22×#11758199C2214yescomplemented
17C23×#92418C2211yescharacteristic
18C2×#14519752—24no—
19C2×#14519752—24no—
20C2×#14519752—22no—
21C2×#14519752C2214yescomplemented
22C2×#14519748—24no—
23C2×#14519748—24no—
24C2×#14519748—22no—
25C2×#14519748C2214yescomplemented
26C22×C4⋊Dic61C2211yescharacteristic
27C22×C22⋊Dic61—21no—
28C22×#11758198—21no—
29C2×#14519699—24no—
30C2×#14519699C2214yescomplemented
31C2×#14519689—24no—
32C2×#14519689C2214yescomplemented
33#16839524C2214yescomplemented
34C23×D4×C61C2211yescharacteristic
35C23×C8×C61C2211yescharacteristic
36C22×C4⋊C4×C61C2211yescharacteristic
37C2×#102×C61—24no—
38C2×#102×C61C2214yescomplemented
39C24×D61—21no—
40C24×D61D411yescharacteristic
41C22×D244—22no—
42C22×D244—22no—
43C22×D244—22no—
44C22×D244—22no—
45C22×D244—28no—
46C22×D244—24no—
47C22×D244—21no—
48C22×D244—22no—
49C22×D244—44no—
50C22×D244—44no—
51C22×D244D414yescomplemented
52C22×D244C2312yes—
53C22×C22⋊D61—28no—
54C22×C22⋊D61—24no—
55C22×C22⋊D61—44no—
56C22×C22⋊D61—44no—
57C23×Dic61—21no—
58C23×Dic61D411yescharacteristic
59C22×C4×D61—22no—
60C22×C4×D61—22no—
61C22×C4×D61—22no—
62C22×C4×D61—22no—
63C22×C4×D61—22no—
64C22×C4×D61—22no—
65C22×C4×D61D412yes—
66C22×C4×D61C2312yes—
67C2×#11758199—232no—
68C2×#11758199—28no—
69C2×#11758199—28no—
70C2×#11758199—28no—
71C22×#92418—22no—
72C22×#92418—22no—
73C22×#92418D414yescomplemented
74C22×#92418C2312yes—
75#14519752—216no—
76#14519752—28no—
77#14519752—28no—
78#14519748—216no—
79#14519748—28no—
80#14519748—28no—
81C2×C4⋊Dic61—22no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61D414yescomplemented
84C2×C4⋊Dic61C2312yes—
85C2×C22⋊Dic61—28no—
86C2×C22⋊Dic61—24no—
87C2×#11758198—28no—
88C2×#11758198—24no—
89#14519699—28no—
90#14519689—28no—
91C25×C61—21no—
92C22×D4×C61—22no—
93C22×D4×C61—22no—
94C22×D4×C61—22no—
95C22×D4×C61—21no—
96C22×D4×C61—22no—
97C22×D4×C61—22no—
98C22×D4×C61D414yescomplemented
99C22×D4×C61C2312yes—
100C23×C4×C61—21no—
101C23×C4×C61C2311yescharacteristic
102C22×C8×C61—22no—
103C22×C8×C61—22no—
104C22×C8×C61—22no—
105C22×C8×C61C2312yes—
106C2×C4⋊C4×C61—21no—
107C2×C4⋊C4×C61—22no—
108C2×C4⋊C4×C61D414yescomplemented
109C2×C4⋊C4×C61C2312yes—
110#102×C61—28no—
111C24×C61—24no—
112C24×C61—22no—
113C24×C61—42no—
114C24×C61—42no—
115C24×C61—42no—
116C24×C61—42no—
117C24×C61—42no—
118C24×C61—42no—
119C24×C61C2×D411yescharacteristic
120C23×D61—22no—
121C23×D61—22no—
122C23×D61—22no—
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—24no—
127C23×D61—22no—
128C23×D61—42no—
129C23×D61—42no—
130C23×D61—42no—
131C23×D61—42no—
132C23×D61—42no—
133C23×D61—42no—
134C23×D61D814yescomplemented
135C23×D61C2×D412yes—
136C2×D4×C61—28no—
137C2×D4×C61—24no—
138C2×D4×C61—28no—
139C2×D4×C61—22no—
140C2×D4×C61—22no—
141C2×D4×C61—22no—
142C2×D4×C61—22no—
143C2×D4×C61—22no—
144C2×D4×C61—42no—
145C2×D4×C61—44no—
146C2×D4×C61—42no—
147C2×D4×C61—44no—
148C2×D4×C61C2×D414yescomplemented
149C22×C4×C61—24no—
150C22×C4×C61—22no—
151C22×C4×C61—42no—
152C22×C4×C61—42no—
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D412yes—
155C22×C4×C61C2×D412yes—
156C22×C4×C61C2×D412yes—
157C22×C4×C61C2×D412yes—
158C22×C4×C61C2×D412yes—
159C22×C4×C61#4112yes—
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—216no—
162C2×C22⋊D61—48no—
163C2×C22⋊D61—432no—
164C2×C22⋊D61—48no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—24no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61C2×D412yes—
173C2×D244—28no—
174C2×D244—28no—
175C2×D244—22no—
176C2×D244—22no—
177C2×D244—22no—
178C2×D244—22no—
179C2×D244—216no—
180C2×D244—24no—
181C2×D244—22no—
182C2×D244—48no—
183C2×D244—432no—
184C2×D244—48no—
185C2×D244—42no—
186C2×D244—44no—
187C2×D244—42no—
188C2×D244—44no—
189C2×D244C2×D414yescomplemented
190C2×C4×D61—24no—
191C2×C4×D61—24no—
192C2×C4×D61—24no—
193C2×C4×D61—22no—
194C2×C4×D61—22no—
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—22no—
199C2×C4×D61—44no—
200C2×C4×D61—44no—
201C2×C4×D61—44no—
202C2×C4×D61—44no—
203C2×C8×C61—22no—
204C2×C8×C61—22no—
205C2×C8×C61—22no—
206C2×C8×C61—44no—
207C4⋊C4×C61—24no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61C2×D414yescomplemented
210C22⋊Dic61—216no—
211#11758199—232no—
212#11758198—216no—
213C4⋊Dic61—24no—
214C4⋊Dic61—22no—
215C4⋊Dic61C2×D414yescomplemented
216C2×#92418—28no—
217C2×#92418—22no—
218C2×#92418—22no—
219C2×#92418C2×D414yescomplemented
220C23×C61—24no—
221C23×C61—42no—
222C23×C61—42no—
223C23×C61—42no—
224C23×C61—42no—
225C23×C61—42no—
226C23×C61—42no—
227C23×C61—48no—
228C23×C61—48no—
229C23×C61—48no—
230C23×C61—84no—
231C23×C61—84no—
232C23×C61—84no—
233C23×C61—84no—
234C23×C61#12012yes—
235C23×C61#12012yes—
236C23×C61#12112yes—
237C23×C61C2×D812yes—
238C23×C61#13512yes—
239C23×C61AGL(1,ℤ/8)12yes—
240C23×C61AGL(1,ℤ/8)12yes—
241C23×C61C22×D411yescharacteristic
242C22×D61—22no—
243C22×D61—22no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—28no—
249C22×D61—28no—
250C22×D61—28no—
251C22×D61—24no—
252C22×D61—44no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61—42no—
261C22×D61—42no—
262C22×D61—48no—
263C22×D61—48no—
264C22×D61—48no—
265C22×D61—84no—
266C22×D61—84no—
267C22×D61—84no—
268C22×D61—84no—
269C22×D61C2×D814yescomplemented
270D4×C61—24no—
271D4×C61—24no—
272D4×C61—42no—
273D4×C61—42no—
274D4×C61—48no—
275C2×C4×C61—24no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—48no—
279C2×C4×C61#12014yes—
280C2×C4×C61#12012yes—
281C2×C4×C61#12012yes—
282C2×C4×C61#12114yes—
283C2×C4×C61#12114yes—
284C2×C4×C61#12112yes—
285C2×C4×C61#12714yes—
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C22⋊D61—432no—
293C2×Dic61—24no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—44no—
300C2×Dic61—48no—
301D244—24no—
302D244—24no—
303D244—432no—
304D244—42no—
305D244—42no—
306D244—48no—
307C4×D61—42no—
308C4×D61—42no—
309C4×D61—42no—
310C4×D61—42no—
311C4×D61—48no—
312C8×C61—42no—
313#92418—24no—
314C2×#1999—611nomaximal, Sylow
315C22×C61—44no—
316C22×C61—44no—
317C22×C61—44no—
318C22×C61—82no—
319C22×C61—82no—
320C22×C61—816no—
321C22×C61—82no—
322C22×C61—82no—
323C22×C61#39214yes—
324C22×C61#44714yes—
325C22×C61#44714yes—
326C22×C61#44914yes—
327C22×C61#44914yes—
328C22×C61#46614yes—
329C22×C61#46914yes—
330C22×C61C2×#12011yescharacteristic
331C22×C61C2×#12011yescharacteristic
332C22×C61C2×#12111yescharacteristic
333C22×C61C22×D811yescharacteristic
334C22×C61C2×#13511yescharacteristic
335C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
336C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
337C2×D61—24no—
338C2×D61—24no—
339C2×D61—24no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—416no—
344C2×D61—42no—
345C2×D61—44no—
346C2×D61—44no—
347C2×D61—44no—
348C2×D61—82no—
349C2×D61—82no—
350C2×D61—816no—
351C2×D61—82no—
352C2×D61—82no—
353C4×C61—44no—
354C4×C61#39214yes—
355C4×C61C2×#12011yescharacteristic
356C4×C61C2×#12111yescharacteristic
357C4×C61C2×#12111yescharacteristic
358C4×C61C2×#12711yescharacteristic
359Dic61—42no—
360Dic61—44no—
361C23×D8—611no—
362C22×#121—611no—
363C22×#121—611no—
364C22×#102—611no—
365C22×#102D6111yescharacteristic, complemented
366C22×C22⋊C8—611no—
367#1999—618no—
368C2×#340—611no—
369C2×C61—84no—
370C2×C61#199918yescomplemented
371C2×C61C2×#39211yescharacteristic
372C2×C61C2×#44711yescharacteristic
373C2×C61C2×#44711yescharacteristic
374C2×C61C2×#44911yescharacteristic
375C2×C61C2×#44911yescharacteristic
376C2×C61C2×#46611yescharacteristic
377C2×C61C2×#46911yescharacteristic
378D61—44no—
379D61—84no—
380C23×D4—611no—
381C23×D4—1221no—
382C23×D4—1221no—
383C23×D4C2×D6111yescharacteristic
384C24×C4—611no—
385C22×D8—614no—
386C22×D8—1224no—
387C22×D8—1224no—
388C22×D8—1224no—
389C23×C8—611no—
390C23×C8C2×D6111yescharacteristic
391C2×#121—614no—
392C2×#121—614no—
393C2×#121—1222no—
394C2×#121—1224no—
395C2×#121—1224no—
396C2×#121—1222no—
397C2×#121—1224no—
398C2×#121—1224no—
399C22×C4⋊C4—611no—
400C22×C4⋊C4C2×D6111yescharacteristic
401C22×C22⋊C4—1221no—
402C22×C22⋊C4—1221no—
403C2×#102—24no—
404C2×#102—614no—
405C2×#102—1224no—
406C2×#102C2×D6114yescomplemented
407C2×C22⋊C8—614no—
408C2×C22⋊C8—1224no—
409#340—614no—
410C61C2×#199911yescharacteristic, complemented, Sylow
411C25—21no—
412C25—611no—
413C25—1221no—
414C22×D4—22no—
415C22×D4—22no—
416C22×D4—22no—
417C22×D4—22no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—614no—
421C22×D4—612no—
422C22×D4—1224no—
423C22×D4—1228no—
424C22×D4—1224no—
425C22×D4—1228no—
426C22×D4—1222no—
427C22×D4—1222no—
428C22×D4—1222no—
429C22×D4—1222no—
430C22×D4—1221no—
431C22×D4—1222no—
432C22×D4—2444no—
433C22×D4—2444no—
434C22×D4—2444no—
435C22×D4—2444no—
436C22×D4D24414yescomplemented
437C22×D4C22×D6112yes—
438C23×C4—21no—
439C23×C4—611no—
440C23×C4—612no—
441C23×C4—612no—
442C23×C4—1221no—
443C23×C4—1222no—
444C23×C4—1222no—
445C23×C4—1222no—
446C23×C4—1222no—
447C23×C4—1222no—
448C23×C4—1222no—
449C23×C4C22×D6111yescharacteristic
450C2×D8—1228no—
451C2×D8—1228no—
452C2×D8—12232no—
453C2×D8—1228no—
454C22×C8—22no—
455C22×C8—22no—
456C22×C8—22no—
457C22×C8—614no—
458C22×C8—612no—
459C22×C8—1222no—
460C22×C8—1222no—
461C22×C8C22×D6112yes—
462#121—1228no—
463#121—12216no—
464#121—1228no—
465#121—12216no—
466#121—1228no—
467#121—1228no—
468C2×C4⋊C4—22no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—614no—
471C2×C4⋊C4—612no—
472C2×C4⋊C4—1222no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4C22⋊D6114yescomplemented
475C2×C4⋊C4C22×D6112yes—
476C2×C22⋊C4—1224no—
477C2×C22⋊C4—1228no—
478C2×C22⋊C4—1224no—
479C2×C22⋊C4—1228no—
480#102—28no—
481#102—1228no—
482C22⋊C8—1228no—
483C24—22no—
484C24—24no—
485C24—42no—
486C24—42no—
487C24—42no—
488C24—42no—
489C24—42no—
490C24—42no—
491C24—612no—
492C24—614no—
493C24—1222no—
494C24—1222no—
495C24—1222no—
496C24—1222no—
497C24—1222no—
498C24—1222no—
499C24—1222no—
500C24—1224no—
501C24—2442no—
502C24—2442no—
503C24—2442no—
504C24—2442no—
505C24—2442no—
506C24—2442no—
507C24D4×D6111yescharacteristic
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—28no—
514C2×D4—24no—
515C2×D4—28no—
516C2×D4—42no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—614no—
521C2×D4—12216no—
522C2×D4—12216no—
523C2×D4—1222no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1222no—
528C2×D4—1224no—
529C2×D4—1228no—
530C2×D4—1228no—
531C2×D4—2448no—
532C2×D4—2448no—
533C2×D4—24432no—
534C2×D4—2448no—
535C2×D4—2448no—
536C2×D4—24432no—
537C2×D4—2442no—
538C2×D4—2442no—
539C2×D4—2444no—
540C2×D4—2444no—
541C2×D4C2×D24414yescomplemented
542C22×C4—22no—
543C22×C4—24no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—612no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1224no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1224no—
559C22×C4—1224no—
560C22×C4—1224no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4—2444no—
564C22×C4—2444no—
565C22×C4—2444no—
566C22×C4—2444no—
567C22×C4C2×D24412yes—
568C22×C4#1175822212yes—
569C22×C4D4×D6112yes—
570C22×C4D4×D6112yes—
571C22×C4D4×D6112yes—
572C22×C4D4×D6111yescharacteristic
573C22×C4C2×C22⋊D6112yes—
574C22×C4C23×D6111yescharacteristic
575D8—12232no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—44no—
580C2×C8—614no—
581C2×C8—1222no—
582C2×C8—1222no—
583C2×C8—1228no—
584C4⋊C4—22no—
585C4⋊C4—24no—
586C4⋊C4—614no—
587C4⋊C4—1222no—
588C4⋊C4—1224no—
589C4⋊C4C2×C22⋊D6114yescomplemented
590C22⋊C4—12216no—
591C22⋊C4—12216no—
592C23—24no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—48no—
600C23—48no—
601C23—48no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—614no—
607C23—1222no—
608C23—1222no—
609C23—1228no—
610C23—1222no—
611C23—1222no—
612C23—1222no—
613C23—1222no—
614C23—1228no—
615C23—1228no—
616C23—1224no—
617C23—4884no—
618C23—4884no—
619C23—4884no—
620C23—4884no—
621C23—2442no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2448no—
628C23—2448no—
629C23—2448no—
630C23—2444no—
631C23—2444no—
632C23—2444no—
633C23—2444no—
634C23#1451974512yes—
635C23#1451974712yes—
636C23#1451975012yes—
637C23D8×D6112yes—
638C23#1451979812yes—
639C23#1451980112yes—
640C23#1451980412yes—
641C23C2×D4×D6111yescharacteristic
642D4—24no—
643D4—24no—
644D4—42no—
645D4—42no—
646D4—48no—
647D4—1224no—
648D4—1224no—
649D4—24432no—
650D4—24432no—
651D4—2442no—
652D4—2442no—
653D4—2448no—
654C2×C4—24no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—48no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1224no—
661C2×C4—1222no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2448no—
665C2×C4—2444no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2448no—
671C2×C4#1451974512yes—
672C2×C4#1451974714yes—
673C2×C4#1451974712yes—
674C2×C4#1451975014yes—
675C2×C4#1451975012yes—
676C2×C4#1451975114yes—
677C2×C4#1451977314yes—
678C2×C4C2×D4×D6111yescharacteristic
679C2×C4C2×D4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4C22×C22⋊D6111yescharacteristic
682C2×C4C22×D24411yescharacteristic
683C2×C4C2×#1175822211yescharacteristic
684C8—42no—
685C8—1224no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22—816no—
693C22—82no—
694C22—1224no—
695C22—1224no—
696C22—1224no—
697C22—4882no—
698C22—4882no—
699C22—4882no—
700C22—48816no—
701C22—4882no—
702C22—2444no—
703C22—2444no—
704C22—2444no—
705C22—2442no—
706C22—2442no—
707C22—24416no—
708C22—2442no—
709C22—2442no—
710C22#1683967114yes—
711C22#1683989414yes—
712C22#1683989714yes—
713C22#1683990614yes—
714C22#1683990814yes—
715C22#1683999714yes—
716C22#1684001414yes—
717C22C2×#1451974511yescharacteristic
718C22C2×#1451974711yescharacteristic
719C22C2×#1451975011yescharacteristic
720C22C2×D8×D6111yescharacteristic
721C22C2×#1451979811yescharacteristic
722C22C2×#1451980111yescharacteristic
723C22C2×#1451980411yescharacteristic
724C4—44no—
725C4—2442no—
726C4—2444no—
727C4#1683967114yes—
728C4C2×#1451974711yescharacteristic
729C4C2×#1451975011yescharacteristic
730C4C2×#1451975111yescharacteristic
731C4C2×#1451977311yescharacteristic
732C2—84no—
733C2—4884no—
734C2—2444no—
735C2#2144681618yesdirect product factor
736C2C2×#1683967111yescharacteristic
737C2C2×#1683989411yescharacteristic
738C2C2×#1683989711yescharacteristic
739C2C2×#1683990611yescharacteristic
740C2C2×#1683990811yescharacteristic
741C2C2×#1683999711yescharacteristic
742C2C2×#1684001411yescharacteristic
subgroupG/H
centerC24D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC22×#102×C61C2
socleC24×C61C2×D4
hypercenterC22×#102D61
hypocenterC61C2×#1999
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#102

Complements

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

NH ≅ G/Ntype
1. C23×#11758199C2semidirect
2. C22×#14519752C2semidirect
3. C22×#14519748C2semidirect
4. C22×#14519699C2semidirect
5. C22×#14519689C2semidirect
6. #21446816C2direct (N × H)
7. C2×#16839524C2semidirect
8. C22×#102×C61C2semidirect
16. C22×#11758199C22semidirect
21. C2×#14519752C22semidirect
25. C2×#14519748C22semidirect
30. C2×#14519699C22semidirect
32. C2×#14519689C22semidirect
33. #16839524C22semidirect
38. C2×#102×C61C22semidirect
51. C22×D244D4semidirect
73. C22×#92418D4semidirect
83. C2×C4⋊Dic61D4semidirect
98. C22×D4×C61D4semidirect
108. C2×C4⋊C4×C61D4semidirect
134. C23×D61D8semidirect
148. C2×D4×C61C2×D4semidirect
189. C2×D244C2×D4semidirect
209. C4⋊C4×C61C2×D4semidirect
215. C4⋊Dic61C2×D4semidirect
219. C2×#92418C2×D4semidirect
269. C22×D61C2×D8semidirect
365. C22×#102D61semidirect
370. C2×C61#1999semidirect
406. C2×#102C2×D61semidirect
410. C61C2×#1999semidirect
436. C22×D4D244semidirect
474. C2×C4⋊C4C22⋊D61semidirect
541. C2×D4C2×D244semidirect
589. C4⋊C4C2×C22⋊D61semidirect
735. C2#21446816direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#117581992
C22×#145197522
C22×#145197482
C22×#145196992
C22×#145196892
#214468162
C2×#168395242
C22×#102×C612
C2×#199961