Finite Group Databasebeta

← C2×#21455447 #30547169

Subgroups — C2×#21455447 #30547169

Order 15616.

2898 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
1C22×#14519808C211yesmaximal, characteristic, complemented
2C22×M16×D61C211yesmaximal, characteristic, complemented
3C2×#16840274C211yesmaximal, characteristic
4C22×#14519753C211yesmaximal, characteristic, complemented
5#21455447C2116yesmaximal, direct product factor
6C2×#16840019C212yesmaximal, complemented
7C2×#16840011C212yesmaximal, complemented
8C2×#16840002C212yesmaximal, complemented
9C2×#16839994C212yesmaximal, complemented
10C2×#16839805C211yesmaximal, characteristic, complemented
11C2×#16839764C211yesmaximal, characteristic, complemented
12C2×C61×#419C211yesmaximal, characteristic, complemented
13C22×#11758222C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C2×#14519808—28no—
16C2×#14519808C2218yescomplemented
17C22×#11758202C2212yescomplemented
18C22×#11758201C2212yescomplemented
19C22×#11758194C2211yescharacteristic
20C22×#11758189C2212yes—
21C2×M16×D61—28no—
22C2×M16×D61C2218yescomplemented
23C22×C8×D61C2212yes—
24#16840274—24no—
25#16840274C2218yes—
26C2×#14519761—21no—
27C2×#14519757C2211yescharacteristic
28C2×#14519757C2211yescharacteristic
29C2×#14519753—21no—
30C2×#14519753—21no—
31C2×#14519753—24no—
32C2×#14519753C2212yes—
33C2×#14519753C2212yes—
34C2×#14519753C2218yescomplemented
35C2×#14519752C2211yescharacteristic
36C2×#14519752C2211yescharacteristic
37C2×#14519747—21no—
38C2×C4×D244—21no—
39C2×C4×D244—21no—
40C22×C4⋊Dic61C2211yescharacteristic
41C22×#11758196—21no—
42C22×#11758198—21no—
43#16840019C22116yescomplemented
44#16840011C22116yescomplemented
45#16840002C22116yescomplemented
46#16839994C22116yescomplemented
47#16839805C2218yescomplemented
48C2×#14519710C2212yescomplemented
49C2×#14519708C2212yescomplemented
50#16839764C2218yescomplemented
51C2×#14519702C2212yescomplemented
52C2×#14519699C2212yescomplemented
53C23×Q8×C61C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C2×#117×C61C2211yescharacteristic
56C61×#419C2218yescomplemented
57C2×#103×C61C2212yescomplemented
58C2×#103×C61C2212yescomplemented
59C24×D61D411yescharacteristic
60C2×#11758222—22no—
61C2×#11758222—24no—
62C2×#11758222—24no—
63C2×#11758222C2314yes—
64C22×Dic122C2311yescharacteristic
65C22×D244—21no—
66C22×D244—21no—
67C22×D244C2311yescharacteristic
68C22×C22⋊D61—21no—
69C23×Dic61—21no—
70C23×Dic61D411yescharacteristic
71C22×C4×D61—24no—
72C22×C4×D61—24no—
73C22×C4×D61—21no—
74C22×C4×D61D411yescharacteristic
75C22×C4×D61D411yescharacteristic
76C22×C4×D61D414yes—
77C22×C4×D61C2311yescharacteristic
78C22×C4×D61C2311yescharacteristic
79C22×C4×D61C2314yes—
80#14519808—232no—
81C2×#11758202—28no—
82C2×#11758202C2318yescomplemented
83C2×#11758201—28no—
84C2×#11758201C2318yescomplemented
85C2×#11758194D418yescomplemented
86C2×#11758194C2314yes—
87C2×#11758189—28no—
88C2×#11758189C2318yes—
89M16×D61—232no—
90C22×#92418C2312yes—
91C2×C8×D61—28no—
92C2×C8×D61C2318yes—
93#14519761—28no—
94#14519757—22no—
95#14519757—22no—
96#14519757C2314yes—
97#14519757C2314yes—
98#14519753—24no—
99#14519753—24no—
100#14519753—28no—
101#14519753—28no—
102#14519753C2318yes—
103#14519753C2318yes—
104#14519752—22no—
105#14519752—22no—
106#14519752C2314yes—
107#14519752C2314yes—
108#14519747—28no—
109C4×D244—28no—
110C4×D244—28no—
111C2×C4⋊Dic61—21no—
112C2×C4⋊Dic61—22no—
113C2×C4⋊Dic61—21no—
114C2×C4⋊Dic61—21no—
115C2×C4⋊Dic61C2312yes—
116C2×C4⋊Dic61C2314yes—
117C2×#11758196—22no—
118C2×#11758196—22no—
119C2×#11758196—28no—
120C2×#11758198—22no—
121C2×#11758198—22no—
122C2×#11758198—28no—
123C2×#11758198—21no—
124C2×#11758198—21no—
125C2×#11758198—21no—
126C2×#11758198—21no—
127#14519710C2318yescomplemented
128#14519708C2318yescomplemented
129#14519702C2318yescomplemented
130#14519699C2318yescomplemented
131C22×Q8×C61—21no—
132C22×Q8×C61—22no—
133C22×Q8×C61—24no—
134C22×Q8×C61—24no—
135C22×Q8×C61C2312yes—
136C22×Q8×C61C2314yes—
137C23×C4×C61—21no—
138C23×C4×C61C2311yescharacteristic
139C2×M16×C61—24no—
140C2×M16×C61C2314yes—
141C22×C8×C61C2312yes—
142#117×C61—22no—
143#117×C61C2314yes—
144C2×C4⋊C4×C61C2311yescharacteristic
145C2×C4⋊C4×C61C2311yescharacteristic
146C2×C22⋊C4×C61—21no—
147C2×C42×C61—21no—
148#103×C61C2318yescomplemented
149#103×C61C2318yescomplemented
150C24×C61C2×D411yescharacteristic
151C23×D61—24no—
152C23×D61—24no—
153C23×D61—21no—
154C23×D61—42no—
155C23×D61C2×D411yescharacteristic
156C23×D61C2×D414yes—
157C23×D61C2×D411yescharacteristic
158C2×Q8×C61—24no—
159C2×Q8×C61—22no—
160C2×Q8×C61—28no—
161C2×Q8×C61—24no—
162C2×Q8×C61—24no—
163C2×Q8×C61—28no—
164C2×Q8×C61—44no—
165C2×Q8×C61—48no—
166C2×Q8×C61C2414yes—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—24no—
170C22×C4×C61—22no—
171C22×C4×C61—44no—
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D412yes—
174C22×C4×C61C2×D414yes—
175C22×C4×C61#4114yes—
176C22×C4×C61C2411yescharacteristic
177C22×C4×C61C2412yes—
178C2×C22⋊D61—24no—
179C2×C22⋊D61—44no—
180C22×Dic61—24no—
181C22×Dic61—21no—
182C22×Dic61—24no—
183C22×Dic61—22no—
184C22×Dic61—44no—
185C22×Dic61C2×D411yescharacteristic
186C22×Dic61C2×D411yescharacteristic
187C22×Dic61C2×D414yes—
188#11758222—28no—
189#11758222—28no—
190#11758222—48no—
191C2×D244—22no—
192C2×D244—22no—
193C2×D244—24no—
194C2×D244—24no—
195C2×D244—21no—
196C2×D244—44no—
197C2×D244—44no—
198C2×D244C2412yes—
199C2×C4×D61—24no—
200C2×C4×D61—24no—
201C2×C4×D61—216no—
202C2×C4×D61—22no—
203C2×C4×D61—28no—
204C2×C4×D61—22no—
205C2×C4×D61—22no—
206C2×C4×D61—22no—
207C2×C4×D61—28no—
208C2×C4×D61—24no—
209C2×C4×D61—44no—
210C2×C4×D61C2×D414yes—
211C2×C4×D61C2×D414yes—
212C2×C4×D61C2×D412yes—
213C2×C4×D61C2×D412yes—
214C2×C4×D61C2412yes—
215C2×C4×D61C2412yes—
216C2×Dic122—22no—
217C2×Dic122—22no—
218C2×Dic122—21no—
219C2×Dic122C2412yes—
220M16×C61—28no—
221C2×C8×C61—24no—
222C2×C8×C61C2414yes—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61C2412yes—
226C4⋊C4×C61C2412yes—
227C22⋊C4×C61—24no—
228C42×C61—24no—
229#11758202—216no—
230#11758201—216no—
231#11758198—28no—
232#11758198—28no—
233#11758198—24no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237C4⋊Dic61—24no—
238C4⋊Dic61—22no—
239C4⋊Dic61—24no—
240C4⋊Dic61—24no—
241C4⋊Dic61C2414yes—
242#11758196—28no—
243#11758196—28no—
244#11758194C2×D4116yescomplemented
245C2×#92418C2×D418yes—
246C2×#92418C2414yes—
247#11758189—216no—
248C8×D61—216no—
249C23×C61—22no—
250C23×C61—22no—
251C23×C61#12114yes—
252C23×C61C22×D412yes—
253C23×C61C22×D411yescharacteristic
254C22×D61—22no—
255C22×D61—22no—
256C22×D61—28no—
257C22×D61—22no—
258C22×D61—22no—
259C22×D61—22no—
260C22×D61—28no—
261C22×D61—22no—
262C22×D61—44no—
263C22×D61—416no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—42no—
267C22×D61#13714yescomplemented
268C22×D61C22×D412yes—
269C22×D61C22×D412yes—
270Q8×C61—24no—
271Q8×C61—24no—
272Q8×C61—44no—
273Q8×C61—48no—
274C2×C4×C61—24no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—48no—
278C2×C4×C61—44no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61#12114yes—
282C2×C4×C61#12118yes—
283C2×C4×C61C22×D412yes—
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D412yes—
286C2×C4×C61C22×D414yes—
287C2×C4×C61C2×#4112yes—
288C2×C4×C61C2×#4114yes—
289C2×C4×C61C2511yescharacteristic
290C22⋊D61—48no—
291C2×Dic61—28no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—48no—
297C2×Dic61—42no—
298C2×Dic61—44no—
299C2×Dic61C22×D412yes—
300C2×Dic61C22×D412yes—
301D244—22no—
302D244—22no—
303D244—48no—
304D244—48no—
305D244—42no—
306C4×D61—24no—
307C4×D61—24no—
308C4×D61—28no—
309C4×D61—28no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—48no—
315Dic122—22no—
316Dic122—22no—
317Dic122—42no—
318C8×C61—24no—
319#92418C22×D418yes—
320C2×#3056—611nomaximal, Sylow
321C22×C61—28no—
322C22×C61—22no—
323C22×C61—22no—
324C22×C61C2×#12114yes—
325C22×C61C2×#12112yes—
326C22×C61C2×#13712yes—
327C22×C61#57512yes—
328C22×C61C23×D411yescharacteristic
329C2×D61—22no—
330C2×D61—28no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—416no—
336C2×D61—44no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—84no—
341C2×D61C2×#13714yescomplemented
342C4×C61—44no—
343C4×C61—42no—
344C4×C61—42no—
345C4×C61C2×#12112yes—
346C4×C61C2×#12114yes—
347C4×C61C23×D411yescharacteristic
348C4×C61C22×#4111yescharacteristic
349Dic61—22no—
350Dic61—22no—
351Dic61—42no—
352Dic61—44no—
353C22×#137—611no—
354C23×M16—611no—
355C2×#525—611no—
356C22×C22⋊Q8—611no—
357#3056—6116no—
358C2×#470—612no—
359C2×#468—612no—
360C2×#467—612no—
361C2×#465—612no—
362C2×#428—611no—
363C2×#417—611no—
364C2×#419D6111yescharacteristic, complemented
365C2×C61—24no—
366C2×C61#305614yescomplemented
367C2×C61C22×#12111yescharacteristic
368C2×C61C22×#13711yescharacteristic
369C2×C61C2×#57511yescharacteristic
370D61—24no—
371D61—42no—
372D61—82no—
373C22×#41—611no—
374C23×Q8C2×D6111yescharacteristic
375C24×C4—611no—
376C2×#137—618no—
377C2×#137—1228no—
378C22×Q16—612no—
379C22×SD16—612no—
380C22×M16—611no—
381C22×M16—618no—
382C22×M16—612no—
383C22×M16—1228no—
384C22×M16C2×D6111yescharacteristic
385C23×C8—612no—
386#525—618no—
387#525—1224no—
388C2×#123—1221no—
389C2×C22⋊Q8—612no—
390C2×C22⋊Q8—612no—
391C2×C22⋊Q8—618no—
392C2×C22⋊Q8—611no—
393C2×C22⋊Q8—611no—
394C2×C22⋊Q8—1221no—
395C2×C22⋊Q8—1221no—
396C2×C22⋊Q8—1224no—
397C2×#121—611no—
398C2×#121—611no—
399C2×#120—1221no—
400C2×C4×D4—1221no—
401C2×C4×D4—1221no—
402C2×#117C2×D6111yescharacteristic
403C22×C4⋊C4—611no—
404C22×C4⋊C4—1221no—
405C22×C22⋊C4—1221no—
406#470—6116no—
407#468—6116no—
408#467—6116no—
409#465—6116no—
410#428—618no—
411C2×#107—612no—
412C2×#106—612no—
413#419C2×D6118yescomplemented
414#417—618no—
415C2×#103—612no—
416C2×#103C2×D6112yescomplemented
417C2×#103C2×D6112yescomplemented
418C2×#102—612no—
419C61C2×#305611yescharacteristic, complemented, Sylow
420C25—611no—
421C2×#41—614no—
422C2×#41—1222no—
423C2×#41—1224no—
424C2×#41—1224no—
425C22×Q8—22no—
426C22×Q8—21no—
427C22×Q8—24no—
428C22×Q8—24no—
429C22×Q8—611no—
430C22×Q8C22×D6112yes—
431C22×Q8C22×D6114yes—
432C22×D4—611no—
433C22×D4—1221no—
434C22×D4—1221no—
435C22×D4—1221no—
436C23×C4—21no—
437C23×C4—611no—
438C23×C4—611no—
439C23×C4—611no—
440C23×C4—614no—
441C23×C4—611no—
442C23×C4—611no—
443C23×C4—614no—
444C23×C4—1224no—
445C23×C4—1224no—
446C23×C4—1221no—
447C23×C4—1221no—
448C23×C4C22×D6111yescharacteristic
449#137—12232no—
450C2×Q16—618no—
451C2×Q16—1228no—
452C2×SD16—618no—
453C2×SD16—1228no—
454C2×M16—24no—
455C2×M16—618no—
456C2×M16—614no—
457C2×M16—618no—
458C2×M16—1228no—
459C2×M16—12232no—
460C2×M16C22×D6114yes—
461C22×C8—612no—
462C22×C8—618no—
463C22×C8—1228no—
464C22×C8C22×D6112yes—
465#123—1228no—
466C22⋊Q8—618no—
467C22⋊Q8—618no—
468C22⋊Q8—614no—
469C22⋊Q8—614no—
470C22⋊Q8—1222no—
471C22⋊Q8—1222no—
472C22⋊Q8—1228no—
473C22⋊Q8—1228no—
474C22⋊Q8—1224no—
475C22⋊Q8—1224no—
476#121—614no—
477#121—614no—
478#121—1222no—
479#121—1222no—
480#120—1228no—
481C4×D4—1228no—
482C4×D4—1228no—
483#117—22no—
484#117C22×D6114yes—
485C2×C4⋊C4—612no—
486C2×C4⋊C4—614no—
487C2×C4⋊C4—1228no—
488C2×C4⋊C4—1222no—
489C2×C4⋊C4—1222no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1222no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4C22×D6111yescharacteristic
495C2×C4⋊C4C22×D6111yescharacteristic
496C2×C22⋊C4—21no—
497C2×C22⋊C4—1221no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1228no—
500C2×C22⋊C4—1222no—
501C2×C22⋊C4—1222no—
502C2×C22⋊C4—1221no—
503C2×C22⋊C4—1221no—
504C2×C42—21no—
505#107—618no—
506#106—618no—
507#103—618no—
508#103C22×D6118yescomplemented
509#103C22×D6118yescomplemented
510#102—618no—
511C24—611no—
512C24—611no—
513C24—614no—
514C24—1224no—
515C24—1224no—
516C24—1221no—
517C24—2442no—
518C24D4×D6111yescharacteristic
519#41—1228no—
520#41—1228no—
521#41—2448no—
522C2×Q8—24no—
523C2×Q8—22no—
524C2×Q8—24no—
525C2×Q8—28no—
526C2×Q8—24no—
527C2×Q8—28no—
528C2×Q8—44no—
529C2×Q8—48no—
530C2×Q8—612no—
531C2×Q8—1221no—
532C2×Q8—1222no—
533C2×Q8—1222no—
534C2×Q8C23×D6114yes—
535C2×D4—612no—
536C2×D4—1224no—
537C2×D4—1224no—
538C2×D4—1224no—
539C2×D4—1222no—
540C2×D4—1221no—
541C2×D4—1222no—
542C2×D4—2444no—
543C2×D4—2444no—
544C2×D4—2444no—
545C22×C4—24no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4—44no—
550C22×C4—614no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—614no—
554C22×C4—614no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—612no—
559C22×C4—1224no—
560C22×C4—1222no—
561C22×C4—1228no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1228no—
566C22×C4—1224no—
567C22×C4—1224no—
568C22×C4—12216no—
569C22×C4—1224no—
570C22×C4—1222no—
571C22×C4—1221no—
572C22×C4—1224no—
573C22×C4—2444no—
574C22×C4—2444no—
575C22×C4#1175822214yes—
576C22×C4D4×D6114yes—
577C22×C4D4×D6112yes—
578C22×C4D4×D6111yescharacteristic
579C22×C4C23×D6112yes—
580C22×C4C23×D6111yescharacteristic
581Q16—12216no—
582SD16—12216no—
583M16—28no—
584M16—6116no—
585M16—12216no—
586C2×C8—24no—
587C2×C8—618no—
588C2×C8—614no—
589C2×C8—12216no—
590C2×C8C23×D6114yes—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—614no—
594C4⋊C4—1228no—
595C4⋊C4—1228no—
596C4⋊C4—1224no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1222no—
600C4⋊C4C23×D6112yes—
601C4⋊C4C23×D6112yes—
602C22⋊C4—24no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C22⋊C4—1228no—
606C22⋊C4—1228no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C42—24no—
610C23—22no—
611C23—22no—
612C23—614no—
613C23—612no—
614C23—612no—
615C23—1228no—
616C23—1222no—
617C23—1222no—
618C23—1228no—
619C23—1222no—
620C23—1222no—
621C23—1222no—
622C23—1222no—
623C23—2444no—
624C23—24416no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23#1451975014yes—
629C23C2×D4×D6112yes—
630C23C2×D4×D6111yescharacteristic
631Q8—24no—
632Q8—24no—
633Q8—48no—
634Q8—44no—
635Q8—1222no—
636Q8—1222no—
637Q8—2442no—
638D4—1222no—
639D4—1222no—
640D4—2448no—
641D4—2448no—
642D4—2448no—
643D4—2442no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—612no—
652C2×C4—612no—
653C2×C4—1228no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1228no—
657C2×C4—1228no—
658C2×C4—1224no—
659C2×C4—1224no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1224no—
665C2×C4—1222no—
666C2×C4—2448no—
667C2×C4—2442no—
668C2×C4—2444no—
669C2×C4—2448no—
670C2×C4#1451975014yes—
671C2×C4#1451975018yes—
672C2×C4C2×D4×D6112yes—
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4C2×D4×D6112yes—
675C2×C4C2×D4×D6114yes—
676C2×C4C2×#1175822212yes—
677C2×C4C2×#1175822214yes—
678C2×C4C24×D6111yescharacteristic
679C8—24no—
680C8—618no—
681C22—22no—
682C22—22no—
683C22—28no—
684C22—614no—
685C22—1222no—
686C22—1228no—
687C22—1222no—
688C22—1222no—
689C22—1222no—
690C22—1222no—
691C22—4884no—
692C22—24416no—
693C22—2442no—
694C22—2442no—
695C22—2442no—
696C22—2444no—
697C22C2×#1451975014yes—
698C22C2×#1451975012yes—
699C22#137×D6112yes—
700C22#1684056112yes—
701C22C22×D4×D6111yescharacteristic
702C4—42no—
703C4—42no—
704C4—44no—
705C4—1222no—
706C4—1222no—
707C4—2444no—
708C4—2442no—
709C4C2×#1451975014yes—
710C4C2×#1451975012yes—
711C4C22×D4×D6111yescharacteristic
712C4C22×#1175822211yescharacteristic
713C2—24no—
714C2—1224no—
715C2—4882no—
716C2—2442no—
717C2#2145544714yesdirect product factor
718C2C22×#1451975011yescharacteristic
719C2C2×#137×D6111yescharacteristic
720C2C2×#1684056111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#419C2
socleC23×C61C22×D4
prime radicalC2×#16840274C2
hypercenterC2×#419D61
hypocenterC61C2×#3056
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
1. C22×#14519808C2semidirect
2. C22×M16×D61C2semidirect
4. C22×#14519753C2semidirect
5. #21455447C2direct (N × H)
6. C2×#16840019C2semidirect
7. C2×#16840011C2semidirect
8. C2×#16840002C2semidirect
9. C2×#16839994C2semidirect
10. C2×#16839805C2semidirect
11. C2×#16839764C2semidirect
12. C2×C61×#419C2semidirect
16. C2×#14519808C22semidirect
17. C22×#11758202C22semidirect
18. C22×#11758201C22semidirect
22. C2×M16×D61C22semidirect
34. C2×#14519753C22semidirect
43. #16840019C22semidirect
44. #16840011C22semidirect
45. #16840002C22semidirect
46. #16839994C22semidirect
47. #16839805C22semidirect
48. C2×#14519710C22semidirect
49. C2×#14519708C22semidirect
50. #16839764C22semidirect
51. C2×#14519702C22semidirect
52. C2×#14519699C22semidirect
56. C61×#419C22semidirect
57. C2×#103×C61C22semidirect
58. C2×#103×C61C22semidirect
82. C2×#11758202C23semidirect
84. C2×#11758201C23semidirect
85. C2×#11758194D4semidirect
127. #14519710C23semidirect
128. #14519708C23semidirect
129. #14519702C23semidirect
130. #14519699C23semidirect
148. #103×C61C23semidirect
149. #103×C61C23semidirect
244. #11758194C2×D4semidirect
267. C22×D61#137semidirect
341. C2×D61C2×#137semidirect
364. C2×#419D61semidirect
366. C2×C61#3056semidirect
413. #419C2×D61semidirect
416. C2×#103C2×D61semidirect
417. C2×#103C2×D61semidirect
419. C61C2×#3056semidirect
508. #103C22×D61semidirect
509. #103C22×D61semidirect
717. C2#21455447direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198082
C22×M16×D612
C2×#168402742
C22×#145197532
#214554472
C2×#168400192
C2×#168400112
C2×#168400022
C2×#168399942
C2×#168398052
C2×#168397642
C2×C61×#4192
C2×#305661