Finite Group Databasebeta

← C2×#21455450 #30547172

Subgroups — C2×#21455450 #30547172

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×#14519810C211yesmaximal, characteristic, complemented
2C22×M16×D61C211yesmaximal, characteristic, complemented
3C2×#16840274C211yesmaximal, characteristic
4C22×#14519757C211yesmaximal, characteristic, complemented
5#21455450C2116yesmaximal, direct product factor
6C2×#16840021C212yesmaximal, complemented
7C2×#16840009C212yesmaximal, complemented
8C2×#16840004C212yesmaximal, complemented
9C2×#16839992C212yesmaximal, complemented
10C2×#16839761C211yesmaximal, characteristic, complemented
11C2×#16839770C211yesmaximal, characteristic, complemented
12C2×C61×#428C211yesmaximal, characteristic, complemented
13C22×#11758222C2211yescharacteristic
14C23×Dic122C2211yescharacteristic
15C23×C4×D61C2211yescharacteristic
16C2×#14519810—28no—
17C2×#14519810C2218yescomplemented
18C22×Dic244C2212yescomplemented
19C22×#11758190C2212yescomplemented
20C22×#11758194C2211yescharacteristic
21C22×#11758189C2212yes—
22C2×M16×D61—28no—
23C2×M16×D61C2218yescomplemented
24C22×C8×D61C2212yes—
25#16840274—24no—
26#16840274C2218yes—
27C2×#14519761—21no—
28C2×#14519757—21no—
29C2×#14519757—21no—
30C2×#14519757—24no—
31C2×#14519757C2212yes—
32C2×#14519757C2211yescharacteristic
33C2×#14519757C2212yes—
34C2×#14519757C2211yescharacteristic
35C2×#14519757C2218yescomplemented
36C2×#14519752C2211yescharacteristic
37C2×#14519752C2211yescharacteristic
38C2×#14519747—21no—
39C2×C4×D244—21no—
40C2×C4×D244—21no—
41C22×C4⋊Dic61—21no—
42C22×#11758198—21no—
43#16840021C22116yescomplemented
44#16840009C22116yescomplemented
45#16840004C22116yescomplemented
46#16839992C22116yescomplemented
47#16839770C2218yescomplemented
48#16839761C2218yescomplemented
49C2×#14519700C2212yescomplemented
50C2×#14519700C2212yescomplemented
51C2×#14519700C2212yescomplemented
52C2×#14519697C2212yescomplemented
53C22×M16×C61C2211yescharacteristic
54C2×#117×C61C2211yescharacteristic
55C22×C4⋊C4×C61C2211yescharacteristic
56C61×#428C2218yescomplemented
57C2×#107×C61C2212yescomplemented
58C2×#106×C61C2212yescomplemented
59C24×D61D411yescharacteristic
60C2×#11758222—22no—
61C2×#11758222—24no—
62C2×#11758222—24no—
63C2×#11758222C2314yes—
64C22×Dic122—24no—
65C22×Dic122—24no—
66C22×Dic122—21no—
67C22×Dic122—22no—
68C22×Dic122C2312yes—
69C22×Dic122C2311yescharacteristic
70C22×Dic122C2314yes—
71C22×D244—21no—
72C22×D244—21no—
73C22×D244C2311yescharacteristic
74C22×C22⋊D61—21no—
75C23×Dic61—21no—
76C23×Dic61D411yescharacteristic
77C22×C4×D61—24no—
78C22×C4×D61—24no—
79C22×C4×D61—21no—
80C22×C4×D61D411yescharacteristic
81C22×C4×D61D411yescharacteristic
82C22×C4×D61D414yes—
83C22×C4×D61C2311yescharacteristic
84C22×C4×D61C2311yescharacteristic
85C22×C4×D61C2314yes—
86#14519810—232no—
87C2×Dic244—28no—
88C2×Dic244C2318yescomplemented
89C2×#11758190—28no—
90C2×#11758190C2318yescomplemented
91C2×#11758194—24no—
92C2×#11758194C2314yes—
93C2×#11758189—28no—
94C2×#11758189C2318yes—
95M16×D61—232no—
96C22×#92418C2312yes—
97C2×C8×D61—28no—
98C2×C8×D61C2318yes—
99#14519761—28no—
100#14519757—24no—
101#14519757—24no—
102#14519757—28no—
103#14519757—28no—
104#14519757—22no—
105#14519757—22no—
106#14519757C2318yes—
107#14519757C2314yes—
108#14519757C2318yes—
109#14519757C2314yes—
110#14519752—22no—
111#14519752—22no—
112#14519752C2314yes—
113#14519752C2314yes—
114#14519747—28no—
115C4×D244—28no—
116C4×D244—28no—
117C2×C4⋊Dic61—22no—
118C2×C4⋊Dic61—22no—
119C2×C4⋊Dic61—28no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61—21no—
122C2×#11758198—22no—
123C2×#11758198—22no—
124C2×#11758198—28no—
125C2×#11758198—21no—
126C2×#11758198—21no—
127C2×#11758198—21no—
128C2×#11758198—21no—
129#14519700C2318yescomplemented
130#14519700C2318yescomplemented
131#14519700C2318yescomplemented
132#14519697C2318yescomplemented
133C23×C4×C61—21no—
134C23×C4×C61C2311yescharacteristic
135C2×M16×C61D418yescomplemented
136C2×M16×C61C2314yes—
137C22×C8×C61C2312yes—
138#117×C61—22no—
139#117×C61C2314yes—
140C2×C4⋊C4×C61—21no—
141C2×C4⋊C4×C61—22no—
142C2×C4⋊C4×C61C2311yescharacteristic
143C2×C4⋊C4×C61C2311yescharacteristic
144C2×C4⋊C4×C61C2312yes—
145C2×C4⋊C4×C61C2314yes—
146C2×C22⋊C4×C61—21no—
147C2×C42×C61—21no—
148#107×C61C2318yescomplemented
149#106×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
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—24no—
161C22×C4×C61—22no—
162C22×C4×C61—44no—
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D412yes—
165C22×C4×C61C2×D414yes—
166C22×C4×C61#4114yes—
167C22×C4×C61C2411yescharacteristic
168C22×C4×C61C2412yes—
169C2×C22⋊D61—24no—
170C2×C22⋊D61—44no—
171C22×Dic61—24no—
172C22×Dic61—21no—
173C22×Dic61—24no—
174C22×Dic61—22no—
175C22×Dic61—44no—
176C22×Dic61C2×D411yescharacteristic
177C22×Dic61C2×D411yescharacteristic
178C22×Dic61C2×D414yes—
179#11758222—28no—
180#11758222—28no—
181#11758222—48no—
182C2×D244—22no—
183C2×D244—22no—
184C2×D244—24no—
185C2×D244—24no—
186C2×D244—21no—
187C2×D244—44no—
188C2×D244—44no—
189C2×D244C2412yes—
190C2×C4×D61—24no—
191C2×C4×D61—24no—
192C2×C4×D61—216no—
193C2×C4×D61—22no—
194C2×C4×D61—28no—
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—28no—
199C2×C4×D61—24no—
200C2×C4×D61—44no—
201C2×C4×D61C2×D414yes—
202C2×C4×D61C2×D414yes—
203C2×C4×D61C2×D412yes—
204C2×C4×D61C2×D412yes—
205C2×C4×D61C2412yes—
206C2×C4×D61C2412yes—
207C2×Dic122—28no—
208C2×Dic122—24no—
209C2×Dic122—22no—
210C2×Dic122—24no—
211C2×Dic122—28no—
212C2×Dic122—22no—
213C2×Dic122—24no—
214C2×Dic122—22no—
215C2×Dic122—21no—
216C2×Dic122—44no—
217C2×Dic122—48no—
218C2×Dic122C2414yes—
219C2×Dic122C2412yes—
220M16×C61C2×D4116yescomplemented
221C2×C8×C61C2×D418yes—
222C2×C8×C61C2414yes—
223C4⋊C4×C61—24no—
224C4⋊C4×C61—22no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61C2412yes—
228C4⋊C4×C61C2414yes—
229C4⋊C4×C61C2412yes—
230C22⋊C4×C61—24no—
231C42×C61—24no—
232#11758198—28no—
233#11758198—28no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237#11758198—24no—
238C4⋊Dic61—28no—
239C4⋊Dic61—28no—
240C4⋊Dic61—24no—
241C4⋊Dic61—24no—
242#11758194—28no—
243C2×#92418—24no—
244C2×#92418C2414yes—
245Dic244—216no—
246#11758190—216no—
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—
270C2×C4×C61—24no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—48no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—44no—
277C2×C4×C61#12114yes—
278C2×C4×C61#12118yes—
279C2×C4×C61C22×D412yes—
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C22×D412yes—
282C2×C4×C61C22×D414yes—
283C2×C4×C61C2×#4112yes—
284C2×C4×C61C2×#4114yes—
285C2×C4×C61C2511yescharacteristic
286C22⋊D61—48no—
287C2×Dic61—28no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—24no—
291C2×Dic61—22no—
292C2×Dic61—48no—
293C2×Dic61—44no—
294C2×Dic61—42no—
295C2×Dic61C22×D412yes—
296C2×Dic61C22×D412yes—
297D244—22no—
298D244—22no—
299D244—48no—
300D244—48no—
301D244—42no—
302C4×D61—24no—
303C4×D61—24no—
304C4×D61—28no—
305C4×D61—28no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—48no—
311Dic122—24no—
312Dic122—22no—
313Dic122—24no—
314Dic122—22no—
315Dic122—44no—
316Dic122—48no—
317Dic122—42no—
318C8×C61C22×D418yes—
319#92418—24no—
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—42no—
343C4×C61—42no—
344C4×C61—44no—
345C4×C61C2×#12112yes—
346C4×C61C2×#12114yes—
347C4×C61C23×D411yescharacteristic
348C4×C61C22×#4111yescharacteristic
349Dic61—22no—
350Dic61—22no—
351Dic61—44no—
352Dic61—42no—
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×#428D6111yescharacteristic, complemented
363C2×#417—611no—
364C2×#419—611no—
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×Q8—611no—
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—611no—
392C2×C22⋊Q8—611no—
393C2×C22⋊Q8—618no—
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—1221no—
404C22×C4⋊C4C2×D6111yescharacteristic
405C22×C22⋊C4—1221no—
406#470—6116no—
407#468—6116no—
408#467—6116no—
409#465—6116no—
410#428C2×D6118yescomplemented
411C2×#107C2×D6112yescomplemented
412C2×#106C2×D6112yescomplemented
413#419—618no—
414#417—618no—
415C2×#103—612no—
416C2×#103—612no—
417C2×#103—612no—
418C2×#102—612no—
419C61C2×#305611yescharacteristic, complemented, Sylow
420C25—611no—
421C2×#41—614no—
422C2×#41—1222no—
423C2×#41—1224no—
424C2×#41—1224no—
425C22×Q8—612no—
426C22×Q8—611no—
427C22×Q8—614no—
428C22×Q8—1222no—
429C22×Q8—1221no—
430C22×Q8—1224no—
431C22×Q8—1224no—
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—614no—
455C2×M16—618no—
456C2×M16—1224no—
457C2×M16—12232no—
458C2×M16—1228no—
459C2×M16D24418yescomplemented
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—1228no—
471C22⋊Q8—1228no—
472C22⋊Q8—1224no—
473C22⋊Q8—1224no—
474C22⋊Q8—1222no—
475C22⋊Q8—1222no—
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—22no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—1228no—
488C2×C4⋊C4—1222no—
489C2×C4⋊C4—1222no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4C22×D6112yes—
493C2×C4⋊C4C22×D6114yes—
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#107C22×D6118yescomplemented
506#106C22×D6118yescomplemented
507#103—618no—
508#103—618no—
509#103—618no—
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—614no—
523C2×Q8—612no—
524C2×Q8—1224no—
525C2×Q8—1222no—
526C2×Q8—1221no—
527C2×Q8—1224no—
528C2×Q8—1222no—
529C2×Q8—1228no—
530C2×Q8—1224no—
531C2×Q8—1228no—
532C2×Q8—1222no—
533C2×Q8—2444no—
534C2×Q8—2448no—
535C2×D4—612no—
536C2×D4—1224no—
537C2×D4—1224no—
538C2×D4—1224no—
539C2×D4—1221no—
540C2×D4—1222no—
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—1221no—
571C22×C4—1222no—
572C22×C4—1224no—
573C22×C4—2444no—
574C22×C4—2444no—
575C22×C4C2×D24414yes—
576C22×C4D4×D6112yes—
577C22×C4D4×D6111yescharacteristic
578C22×C4#1175822614yes—
579C22×C4C23×D6112yes—
580C22×C4C23×D6111yescharacteristic
581Q16—12216no—
582SD16—12216no—
583M16—1228no—
584M16—12216no—
585M16C2×D244116yescomplemented
586C2×C8—614no—
587C2×C8—1224no—
588C2×C8—12216no—
589C2×C8C2×D24418yes—
590C2×C8C23×D6114yes—
591C4⋊C4—24no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—1228no—
596C4⋊C4—1228no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4C23×D6114yes—
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#1451975214yes—
629C23C2×D4×D6112yes—
630C23C2×D4×D6111yescharacteristic
631Q8—1224no—
632Q8—1222no—
633Q8—1224no—
634Q8—1222no—
635Q8—2448no—
636Q8—2444no—
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—42no—
649C2×C4—44no—
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—1222no—
665C2×C4—1224no—
666C2×C4—2442no—
667C2×C4—2448no—
668C2×C4—2444no—
669C2×C4—2448no—
670C2×C4#1451975214yes—
671C2×C4#1451975218yes—
672C2×C4C2×D4×D6112yes—
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4C22×D24412yes—
675C2×C4C22×D24414yes—
676C2×C4C2×#1175822612yes—
677C2×C4C2×#1175822614yes—
678C2×C4C24×D6111yescharacteristic
679C8—1224no—
680C8C22×D24418yes—
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×#1451975214yes—
698C22C2×#1451975212yes—
699C22#137×D6112yes—
700C22#1684055812yes—
701C22C22×D4×D6111yescharacteristic
702C4—42no—
703C4—44no—
704C4—42no—
705C4—1222no—
706C4—1222no—
707C4—2442no—
708C4—2444no—
709C4C2×#1451975214yes—
710C4C2×#1451975212yes—
711C4C23×D24411yescharacteristic
712C4C22×#1175822611yescharacteristic
713C2—24no—
714C2—1224no—
715C2—4882no—
716C2—2442no—
717C2#2145545014yesdirect product factor
718C2C22×#1451975211yescharacteristic
719C2C2×#137×D6111yescharacteristic
720C2C2×#1684055811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#428C2
socleC23×C61C22×D4
prime radicalC2×#16840274C2
hypercenterC2×#428D61
hypocenterC61C2×#3056
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
1. C22×#14519810C2semidirect
2. C22×M16×D61C2semidirect
4. C22×#14519757C2semidirect
5. #21455450C2direct (N × H)
6. C2×#16840021C2semidirect
7. C2×#16840009C2semidirect
8. C2×#16840004C2semidirect
9. C2×#16839992C2semidirect
10. C2×#16839761C2semidirect
11. C2×#16839770C2semidirect
12. C2×C61×#428C2semidirect
17. C2×#14519810C22semidirect
18. C22×Dic244C22semidirect
19. C22×#11758190C22semidirect
23. C2×M16×D61C22semidirect
35. C2×#14519757C22semidirect
43. #16840021C22semidirect
44. #16840009C22semidirect
45. #16840004C22semidirect
46. #16839992C22semidirect
47. #16839770C22semidirect
48. #16839761C22semidirect
49. C2×#14519700C22semidirect
50. C2×#14519700C22semidirect
51. C2×#14519700C22semidirect
52. C2×#14519697C22semidirect
56. C61×#428C22semidirect
57. C2×#107×C61C22semidirect
58. C2×#106×C61C22semidirect
88. C2×Dic244C23semidirect
90. C2×#11758190C23semidirect
129. #14519700C23semidirect
130. #14519700C23semidirect
131. #14519700C23semidirect
132. #14519697C23semidirect
135. C2×M16×C61D4semidirect
148. #107×C61C23semidirect
149. #106×C61C23semidirect
220. M16×C61C2×D4semidirect
267. C22×D61#137semidirect
341. C2×D61C2×#137semidirect
362. C2×#428D61semidirect
366. C2×C61#3056semidirect
410. #428C2×D61semidirect
411. C2×#107C2×D61semidirect
412. C2×#106C2×D61semidirect
419. C61C2×#3056semidirect
459. C2×M16D244semidirect
505. #107C22×D61semidirect
506. #106C22×D61semidirect
585. M16C2×D244semidirect
717. C2#21455450direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198102
C22×M16×D612
C2×#168402742
C22×#145197572
#214554502
C2×#168400212
C2×#168400092
C2×#168400042
C2×#168399922
C2×#168397612
C2×#168397702
C2×C61×#4282
C2×#305661