Finite Group Databasebeta

← C2×#21462449 #30625206

Subgroups — C2×#21462449 #30625206

Order 15616.

4946 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840841C211yesmaximal, characteristic, complemented
2C2×#41×#6923C211yesmaximal, characteristic, complemented
3#21462449C2116yesmaximal, direct product factor
4C2×#16840759C213yesmaximal, complemented
5C2×#16840760C213yesmaximal, complemented
6C2×D61⋊#104C213yesmaximal, complemented
7C22×#14519841C213yesmaximal, complemented
8C2×#16840597C211yesmaximal, characteristic
9#16840841—24no—
10#16840841C2218yescomplemented
11C2×#14519865—21no—
12C2×#14519864—23no—
13C22×#11758213C2213yescomplemented
14C2×D61⋊M16C2213yescomplemented
15#41×#6923—24no—
16#41×#6923C2218yescomplemented
17C2×Q8×#6923—21no—
18C2×D4×#6923—23no—
19C2×#14519856C2213yescomplemented
20C22×C4×#6923C2213yescomplemented
21#16840760C22124yescomplemented
22#16840759C22124yescomplemented
23C2×#14519842C2211yescharacteristic, complemented
24C2×#14519842C2213yescomplemented
25D61⋊#104C22124yescomplemented
26C2×#14519841C2213yescomplemented
27C2×#14519841C2216yescomplemented
28C2×#14519841C2213yescomplemented
29C2×#14519841C22124yescomplemented
30#16840597—24no—
31#16840597—24no—
32#16840597C418yescomplemented
33#16840597C2218yes—
34C2×#14519824—21no—
35C2×#14519824C411yescharacteristic, complemented
36C2×#14519824C413yescomplemented
37C2×#14519822—23no—
38C2×#14519822C413yescomplemented
39C22×#11758224—23no—
40C22×#11758224C2213yes—
41C2×#41×D61—21no—
42C2×#41×D61C2213yes—
43C2×#41×D61C2211yescharacteristic
44C2×H(5,𝔽2)×C61C411yescharacteristic, complemented
45C23×#6923—23no—
46#14519865—28no—
47#14519864—224no—
48C2×#11758213—23no—
49C2×#11758213—26no—
50C2×#11758213C2311yescharacteristic
51C2×#11758213C2313yes—
52C2×#11758213C23112yescomplemented
53D61⋊M16—26no—
54D61⋊M16C23112yescomplemented
55C2×#11758217—23no—
56C2×D61⋊C8—23no—
57C22×#92420—23no—
58Q8×#6923—28no—
59D4×#6923—224no—
60#14519856—26no—
61#14519856C23112yescomplemented
62C2×C4⋊#6923—23no—
63C2×C22⋊#6923—23no—
64C2×C4×#6923—23no—
65C2×C4×#6923—26no—
66C2×C4×#6923C2311yescharacteristic
67C2×C4×#6923C2313yes—
68C2×C4×#6923C23112yescomplemented
69#14519842C2314yescomplemented
70#14519842C23112yescomplemented
71#14519841C23112yescomplemented
72#14519841C23124yescomplemented
73#14519841C23112yescomplemented
74#14519824—24no—
75#14519824—28no—
76#14519824—28no—
77#14519824—212no—
78#14519824C2×C4124yescomplemented
79#14519824C2×C418yescomplemented
80#14519822—224no—
81#14519822—224no—
82#14519822—212no—
83#14519822C2×C4124yescomplemented
84C2×#11758226D411yescharacteristic
85C2×#11758226C2311yescharacteristic
86C2×#11758222—23no—
87C2×#11758222—23no—
88C2×#11758222C2×C413yes—
89C2×#11758222C2×C413yescomplemented
90C2×#11758224—23no—
91C2×#11758224—26no—
92C2×#11758224—23no—
93C2×#11758224—224no—
94C2×#11758224—224no—
95C2×#11758224—23no—
96C2×#11758224—23no—
97C2×#11758224—26no—
98C2×#11758224—26no—
99C2×#11758224—23no—
100C2×#11758224C2×C416yescomplemented
101C2×#11758224C2×C4112yescomplemented
102C2×#11758224D413yes—
103C2×#11758224C2313yes—
104C2×#11758224C23112yes—
105#41×D61—28no—
106#41×D61—28no—
107#41×D61—26no—
108#41×D61—26no—
109#41×D61C2×C414yes—
110#41×D61C2×C4112yescomplemented
111#41×D61D414yes—
112#41×D61D414yes—
113#41×D61C23112yes—
114#41×D61C2314yes—
115C22×Dic122—23no—
116C22×Dic122C2×C413yescomplemented
117C2×Q8×D61—21no—
118C2×Q8×D61C2×C413yescomplemented
119C2×Q8×D61D411yescharacteristic
120C22×C22⋊D61—23no—
121C22×C22⋊D61—26no—
122C2×D4×D61—23no—
123C2×D4×D61—23no—
124C2×D4×D61C2×C413yescomplemented
125C2×D4×D61D413yes—
126C23×Dic61—23no—
127C22×C4×D61—23no—
128C22×C4×D61C2313yes—
129H(5,𝔽2)×C61—24no—
130H(5,𝔽2)×C61C2×C418yescomplemented
131C2×#41×C61—21no—
132C2×#41×C61C2×C411yescharacteristic
133C2×#41×C61C2×C413yescomplemented
134C22×D4×C61—23no—
135C22×D4×C61C2×C413yescomplemented
136C24×C61—23no—
137C23×D61—23no—
138C23×D61C2×D413yes—
139C22×#6923—21no—
140C22×#6923—23no—
141C22×#6923—212no—
142C22×#6923—412no—
143#41×C61—28no—
144#41×C61—26no—
145#41×C61C22⋊C414yes—
146#41×C61C22×C414yes—
147#41×C61C22×C4112yescomplemented
148C2×Q8×C61C22⋊C411yescharacteristic
149C2×Q8×C61C22×C411yescharacteristic
150C2×D4×C61—23no—
151C2×D4×C61—224no—
152C2×D4×C61—23no—
153C2×D4×C61—26no—
154C2×D4×C61C22⋊C413yes—
155C2×D4×C61C22×C413yes—
156C2×D4×C61C22×C4112yescomplemented
157C22×C4×C61—23no—
158C22×C4×C61C22×C413yes—
159C2×C22⋊D61—23no—
160C2×C22⋊D61—26no—
161C2×C22⋊D61—212no—
162C2×C22⋊D61—23no—
163C2×C22⋊D61—212no—
164C2×C22⋊D61—248no—
165C2×C22⋊D61—23no—
166C2×C22⋊D61C22⋊C416yes—
167C22×Dic61—23no—
168C22×Dic61—26no—
169C22×Dic61—212no—
170C22×Dic61—23no—
171C22×Dic61—212no—
172C22×Dic61C2×D413yes—
173#11758226—21no—
174#11758226—21no—
175#11758226C22⋊C414yes—
176#11758226C22×C412yes—
177#11758226C2×D414yes—
178#11758226C2412yes—
179Q8×D61—28no—
180Q8×D61—26no—
181Q8×D61C22⋊C414yes—
182Q8×D61C22×C4112yescomplemented
183Q8×D61C2×D414yes—
184#11758224—224no—
185#11758224—248no—
186#11758224—212no—
187#11758224—212no—
188#11758224—212no—
189#11758224—212no—
190#11758224—212no—
191#11758224—23no—
192#11758224—23no—
193#11758224—212no—
194#11758224—212no—
195#11758224—224no—
196#11758224C22⋊C4112yes—
197#11758224C22×C416yes—
198#11758224C22×C4124yescomplemented
199#11758224C2×D4112yes—
200#11758224C2416yes—
201D4×D61—212no—
202D4×D61—212no—
203D4×D61—224no—
204D4×D61—26no—
205D4×D61C22⋊C4112yes—
206D4×D61C22×C4112yescomplemented
207D4×D61C2×D4112yes—
208#11758222—26no—
209#11758222—224no—
210#11758222—212no—
211#11758222—212no—
212#11758222C22⋊C4112yes—
213#11758222C22×C4112yes—
214#11758222C22×C4112yescomplemented
215C2×D244—21no—
216C2×D244C22⋊C413yes—
217C2×D244C22×C411yescharacteristic
218C2×C4×D61—23no—
219C2×C4×D61—23no—
220C2×C4×D61—21no—
221C2×C4×D61—212no—
222C2×C4×D61—212no—
223C2×C4×D61C22×C413yes—
224C2×C4×D61C22×C416yes—
225C2×C4×D61C2×D413yes—
226C2×C4×D61C2×D416yes—
227C2×C4×D61C2×D413yes—
228C2×C4×D61C2×D416yes—
229C2×C4×D61C2411yescharacteristic
230C2×C4×D61C2416yes—
231C2×Dic122—23no—
232C2×Dic122—26no—
233C2×Dic122—23no—
234C2×Dic122—224no—
235C2×Dic122C22⋊C413yes—
236C2×Dic122C22×C413yes—
237C2×Dic122C22×C4112yescomplemented
238C22⋊#6923—212no—
239#11758217—212no—
240C2×#92420—23no—
241C2×#92420—212no—
242C2×#92420—21no—
243C4⋊#6923—212no—
244C4×#6923—21no—
245C4×#6923—23no—
246C4×#6923—212no—
247C4×#6923C2412yes—
248C4×#6923C2416yes—
249#11758213—21no—
250#11758213—23no—
251#11758213—212no—
252#11758213C2412yes—
253#11758213C2416yes—
254D61⋊C8—212no—
255C23×C61—23no—
256C23×C61—212no—
257C23×C61—86no—
258C23×C61C2×C22⋊C413yes—
259C22×D61—21no—
260C22×D61—212no—
261C22×D61—46no—
262C22×D61—86no—
263C22×D61C2×C22⋊C413yes—
264C22×D61C2×C22⋊C416yes—
265C22×D61C22×D411yescharacteristic
266C22×D61C22×D416yes—
267C2×#6923—24no—
268C2×#6923—22no—
269C2×#6923—26no—
270C2×#6923—424no—
271C2×#6923—46no—
272Q8×C61—21no—
273Q8×C61C2×C22⋊C414yes—
274Q8×C61C23×C412yes—
275D4×C61—212no—
276D4×C61—23no—
277D4×C61—212no—
278D4×C61C2×C22⋊C4112yes—
279D4×C61C23×C416yes—
280C2×C4×C61—21no—
281C2×C4×C61—212no—
282C2×C4×C61C2×C22⋊C413yes—
283C2×C4×C61C2×C22⋊C416yes—
284C2×C4×C61C23×C411yescharacteristic
285C2×C4×C61C23×C416yes—
286C22⋊D61—212no—
287C22⋊D61—26no—
288C22⋊D61—224no—
289C22⋊D61—26no—
290C22⋊D61—212no—
291C22⋊D61C2×C22⋊C4124yes—
292C2×Dic61—23no—
293C2×Dic61—212no—
294C2×Dic61—224no—
295C2×Dic61—26no—
296C2×Dic61—26no—
297C2×Dic61C2×C22⋊C413yes—
298C2×Dic61C2×C22⋊C416yes—
299C2×Dic61C22×D411yescharacteristic
300C2×Dic61C22×D416yes—
301D244—22no—
302D244—22no—
303D244—21no—
304D244C2×C22⋊C4112yes—
305D244C23×C412yes—
306C4×D61—212no—
307C4×D61—212no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61C2×C22⋊C416yes—
311C4×D61C2×C22⋊C416yes—
312C4×D61C2×C22⋊C416yes—
313C4×D61C23×C411yescharacteristic
314C4×D61C23×C416yes—
315C4×D61C22×D411yescharacteristic
316C4×D61C22×D416yes—
317C4×D61C22×D416yes—
318C4×D61C22×D411yescharacteristic
319C4×D61C2511yescharacteristic
320Dic122—23no—
321Dic122—212no—
322Dic122—212no—
323Dic122C2×C22⋊C4112yes—
324Dic122C23×C416yes—
325#92420—22no—
326#92420—26no—
327C2×#2901—611nomaximal, Sylow
328C22×C61—26no—
329C22×C61—26no—
330C22×C61—46no—
331C22×C61—812no—
332C22×C61C22×C22⋊C416yes—
333C22×C61C22×C22⋊C411yescharacteristic
334C2×D61—22no—
335C2×D61—26no—
336C2×D61—22no—
337C2×D61—46no—
338C2×D61—46no—
339C2×D61—42no—
340C2×D61—812no—
341C2×D61C22×C22⋊C416yes—
342C2×D61C22×C22⋊C411yescharacteristic
343C2×D61C23×D411yescharacteristic
344#6923—24no—
345#6923—46no—
346C4×C61—22no—
347C4×C61C22×C22⋊C411yescharacteristic
348C4×C61C22×C22⋊C416yes—
349C4×C61C24×C411yescharacteristic
350Dic61—26no—
351Dic61C22×C22⋊C416yes—
352Dic61C22×C22⋊C411yescharacteristic
353Dic61C23×D411yescharacteristic
354C2×#585—611no—
355C2×#568—611no—
356C2×C4×#41—611no—
357#2901—6116no—
358C2×#421—613no—
359C2×#421—613no—
360C22×#104—613no—
361C22×#104—613no—
362C2×C61—26no—
363C2×C61—46no—
364C2×C61#290112yescomplemented
365C2×C61C23×C22⋊C411yescharacteristic
366D61—21no—
367D61—21no—
368D61—26no—
369D61—42no—
370#585—618no—
371#585—618no—
372#585—1224no—
373#585—1224no—
374C2×2−1+4—611no—
375C2×2−1+4—613no—
376C2×2−1+4—1221no—
377C2×H(5,𝔽2)—613no—
378C2×H(5,𝔽2)—1223no—
379C2×H(5,𝔽2)#692311yescharacteristic, complemented
380C22×#41—611no—
381C22×#41—613no—
382C22×#41—613no—
383C22×#41—1223no—
384C22×#41—1221no—
385#568—618no—
386#568—1224no—
387C2×#131—1223no—
388C2×#131—1221no—
389C22×M16—613no—
390C22×M16—613no—
391C4×#41—618no—
392C4×#41—1224no—
393C2×C4×Q8—1221no—
394C2×C4×D4—1223no—
395C2×#117—613no—
396C22×C42—613no—
397#421—6124no—
398#421—6124no—
399C2×#104—613no—
400C2×#104—616no—
401C2×#104—613no—
402C2×#104—6124no—
403C2×#104—6124no—
404C2×#104—611no—
405C2×#104—613no—
406C61C2×#290111yescharacteristic, complemented, Sylow
4072−1+4—618no—
4082−1+4—6124no—
4092−1+4—1228no—
4102−1+4—1228no—
4112−1+4—12212no—
4122−1+4—1224no—
413H(5,𝔽2)—24no—
414H(5,𝔽2)—6124no—
415H(5,𝔽2)—12224no—
416H(5,𝔽2)—12224no—
417H(5,𝔽2)—12212no—
418H(5,𝔽2)C2×#692318yescomplemented
419C2×#41—21no—
420C2×#41—614no—
421C2×#41—614no—
422C2×#41—614no—
423C2×#41—614no—
424C2×#41—611no—
425C2×#41—613no—
426C2×#41—613no—
427C2×#41—6112no—
428C2×#41—6112no—
429C2×#41—611no—
430C2×#41—616no—
431C2×#41—613no—
432C2×#41—6112no—
433C2×#41—6112no—
434C2×#41—613no—
435C2×#41—1223no—
436C2×#41—1223no—
437C2×#41—1223no—
438C2×#41—1223no—
439C2×#41—1223no—
440C2×#41—1226no—
441C2×#41—1226no—
442C2×#41—1226no—
443C2×#41—1226no—
444C2×#41—1226no—
445C2×#41—1223no—
446C2×#41—12224no—
447C2×#41—12224no—
448C2×#41—1228no—
449C2×#41—1228no—
450C2×#41—1223no—
451C2×#41C2×#692311yescharacteristic
452C2×#41C2×#692313yescomplemented
453C22×Q8—611no—
454C22×Q8—613no—
455C22×Q8—613no—
456C22×Q8—1223no—
457C22×Q8—1221no—
458C22×D4—23no—
459C22×D4—613no—
460C22×D4—613no—
461C22×D4—1223no—
462C22×D4—1223no—
463C22×D4—1226no—
464C22×D4—1223no—
465C22×D4C2×#692313yescomplemented
466C23×C4—613no—
467C23×C4—1223no—
468C23×C4—1223no—
469C23×C4—1223no—
470#131—12224no—
471#131—1228no—
472C2×M16—611no—
473C2×M16—613no—
474C2×M16—6112no—
475C2×M16—6112no—
476C2×M16—1223no—
477C2×M16—1226no—
478C2×M16—1223no—
479C2×M16—1226no—
480C22×C8—1223no—
481C22×C8—1223no—
482C4×Q8—1228no—
483C4×D4—12224no—
484#117—6112no—
485#117—1226no—
486C2×C4⋊C4—1223no—
487C2×C22⋊C4—1223no—
488C2×C42—613no—
489C2×C42—6112no—
490C2×C42—611no—
491C2×C42—1223no—
492C2×C42—1226no—
493#104—6112no—
494#104—6124no—
495#104—6112no—
496#104—614no—
497#104—6112no—
498C24—23no—
499C24—613no—
500C24—1223no—
501#41—28no—
502#41—26no—
503#41—614no—
504#41—614no—
505#41—6112no—
506#41—6112no—
507#41—6112no—
508#41—6112no—
509#41—612no—
510#41—612no—
511#41—616no—
512#41—616no—
513#41—6124no—
514#41—6112no—
515#41—12212no—
516#41—12212no—
517#41—12224no—
518#41—12212no—
519#41—12212no—
520#41—12212no—
521#41—1223no—
522#41—12212no—
523#41—1223no—
524#41—12212no—
525#41—12212no—
526#41—12212no—
527#41—1221no—
528#41—1221no—
529#41—12248no—
530#41—12224no—
531#41—12224no—
532#41—1226no—
533#41C22⋊#692314yes—
534#41C22×#692314yes—
535#41C22×#6923112yescomplemented
536C2×Q8—614no—
537C2×Q8—614no—
538C2×Q8—613no—
539C2×Q8—6112no—
540C2×Q8—613no—
541C2×Q8—6112no—
542C2×Q8—1223no—
543C2×Q8—12224no—
544C2×Q8—1226no—
545C2×Q8—1228no—
546C2×Q8—1223no—
547C2×Q8—1226no—
548C2×Q8C22⋊#692311yescharacteristic
549C2×Q8C22×#692311yescharacteristic
550C2×D4—23no—
551C2×D4—224no—
552C2×D4—23no—
553C2×D4—26no—
554C2×D4—616no—
555C2×D4—6112no—
556C2×D4—6112no—
557C2×D4—6112no—
558C2×D4—613no—
559C2×D4—611no—
560C2×D4—1221no—
561C2×D4—1226no—
562C2×D4—1223no—
563C2×D4—12224no—
564C2×D4—12212no—
565C2×D4—12212no—
566C2×D4—12248no—
567C2×D4—1226no—
568C2×D4—1223no—
569C2×D4—12212no—
570C2×D4—12212no—
571C2×D4—1223no—
572C2×D4C22⋊#692313yes—
573C2×D4C22×#692313yes—
574C2×D4C22×#6923112yescomplemented
575C22×C4—23no—
576C22×C4—613no—
577C22×C4—613no—
578C22×C4—616no—
579C22×C4—613no—
580C22×C4—616no—
581C22×C4—611no—
582C22×C4—616no—
583C22×C4—613no—
584C22×C4—616no—
585C22×C4—1221no—
586C22×C4—12212no—
587C22×C4—12212no—
588C22×C4—1223no—
589C22×C4—1223no—
590C22×C4—1226no—
591C22×C4—12212no—
592C22×C4—12212no—
593C22×C4—1221no—
594C22×C4—1223no—
595C22×C4—1223no—
596C22×C4—1223no—
597C22×C4—12212no—
598C22×C4—24412no—
599C22×C4C22×#692313yes—
600M16—616no—
601M16—612no—
602M16—1221no—
603M16—1223no—
604M16—12212no—
605M16—12212no—
606C2×C8—1223no—
607C2×C8—1221no—
608C2×C8—12212no—
609C2×C8—12212no—
610C4⋊C4—12212no—
611C22⋊C4—12212no—
612C42—612no—
613C42—616no—
614C42—1221no—
615C42—1223no—
616C42—12212no—
617C23—23no—
618C23—212no—
619C23—86no—
620C23—613no—
621C23—611no—
622C23—616no—
623C23—616no—
624C23—12212no—
625C23—1221no—
626C23—4886no—
627C23—2446no—
628C23C2×C22⋊#692313yes—
629Q8—21no—
630Q8—6112no—
631Q8—616no—
632Q8—12212no—
633Q8—12212no—
634Q8—1223no—
635Q8C2×C22⋊#692314yes—
636Q8C23×#692312yes—
637D4—212no—
638D4—23no—
639D4—212no—
640D4—6124no—
641D4—6112no—
642D4—612no—
643D4—1222no—
644D4—1222no—
645D4—12212no—
646D4—1226no—
647D4—1226no—
648D4—12224no—
649D4—12212no—
650D4—1221no—
651D4C2×C22⋊#6923112yes—
652D4C23×#692316yes—
653C2×C4—21no—
654C2×C4—212no—
655C2×C4—616no—
656C2×C4—616no—
657C2×C4—613no—
658C2×C4—611no—
659C2×C4—616no—
660C2×C4—616no—
661C2×C4—616no—
662C2×C4—611no—
663C2×C4—616no—
664C2×C4—616no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—616no—
668C2×C4—611no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—12212no—
672C2×C4—1226no—
673C2×C4—1226no—
674C2×C4—12224no—
675C2×C4—1222no—
676C2×C4—1224no—
677C2×C4—12212no—
678C2×C4—1223no—
679C2×C4—12212no—
680C2×C4—1226no—
681C2×C4—24424no—
682C2×C4—2446no—
683C2×C4C2×C22⋊#692316yes—
684C2×C4C2×C22⋊#692313yes—
685C2×C4C23×#692316yes—
686C2×C4C23×#692311yescharacteristic
687C8—1222no—
688C8—1226no—
689C22—26no—
690C22—26no—
691C22—46no—
692C22—812no—
693C22—611no—
694C22—611no—
695C22—616no—
696C22—1222no—
697C22—1226no—
698C22—1222no—
699C22—48812no—
700C22—2446no—
701C22—2446no—
702C22—2442no—
703C22C22×C22⋊#692316yes—
704C22C22×C22⋊#692311yescharacteristic
705C4—22no—
706C4—611no—
707C4—616no—
708C4—611no—
709C4—1224no—
710C4—1226no—
711C4—2446no—
712C4C22×C22⋊#692316yes—
713C4C22×C22⋊#692311yescharacteristic
714C4C24×#692311yescharacteristic
715C2—26no—
716C2—46no—
717C2—1221no—
718C2—1226no—
719C2—1221no—
720C2—2442no—
721C2#2146244912yesdirect product factor
722C2C23×C22⋊#692311yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC4×C61C24×C4
FrattiniC4C24×#6923
FittingC2×H(5,𝔽2)×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840597C2
cosocleC4×D61C25
hypercenterC2×H(5,𝔽2)#6923
hypocenterC61C2×#2901
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. C2×#16840841C2semidirect
2. C2×#41×#6923C2semidirect
3. #21462449C2direct (N × H)
4. C2×#16840759C2semidirect
5. C2×#16840760C2semidirect
6. C2×D61⋊#104C2semidirect
7. C22×#14519841C2semidirect
10. #16840841C22semidirect
13. C22×#11758213C22semidirect
14. C2×D61⋊M16C22semidirect
16. #41×#6923C22semidirect
19. C2×#14519856C22semidirect
20. C22×C4×#6923C22semidirect
21. #16840760C22semidirect
22. #16840759C22semidirect
23. C2×#14519842C22semidirect
24. C2×#14519842C22semidirect
25. D61⋊#104C22semidirect
26. C2×#14519841C22semidirect
27. C2×#14519841C22semidirect
28. C2×#14519841C22semidirect
29. C2×#14519841C22semidirect
32. #16840597C4semidirect
35. C2×#14519824C4semidirect
36. C2×#14519824C4semidirect
38. C2×#14519822C4semidirect
44. C2×H(5,𝔽2)×C61C4semidirect
52. C2×#11758213C23semidirect
54. D61⋊M16C23semidirect
61. #14519856C23semidirect
68. C2×C4×#6923C23semidirect
69. #14519842C23semidirect
70. #14519842C23semidirect
71. #14519841C23semidirect
72. #14519841C23semidirect
73. #14519841C23semidirect
78. #14519824C2×C4semidirect
79. #14519824C2×C4semidirect
83. #14519822C2×C4semidirect
89. C2×#11758222C2×C4semidirect
100. C2×#11758224C2×C4semidirect
101. C2×#11758224C2×C4semidirect
110. #41×D61C2×C4semidirect
116. C22×Dic122C2×C4semidirect
118. C2×Q8×D61C2×C4semidirect
124. C2×D4×D61C2×C4semidirect
130. H(5,𝔽2)×C61C2×C4semidirect
133. C2×#41×C61C2×C4semidirect
135. C22×D4×C61C2×C4semidirect
147. #41×C61C22×C4semidirect
156. C2×D4×C61C22×C4semidirect
182. Q8×D61C22×C4semidirect
198. #11758224C22×C4semidirect
206. D4×D61C22×C4semidirect
214. #11758222C22×C4semidirect
237. C2×Dic122C22×C4semidirect
364. C2×C61#2901semidirect
379. C2×H(5,𝔽2)#6923semidirect
406. C61C2×#2901semidirect
418. H(5,𝔽2)C2×#6923semidirect
452. C2×#41C2×#6923semidirect
465. C22×D4C2×#6923semidirect
535. #41C22×#6923semidirect
574. C2×D4C22×#6923semidirect
721. C2#21462449direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168408412
C2×#41×#69232
#214624492
C2×#168407592
C2×#168407602
C2×D61⋊#1042
C22×#145198412
C2×#168405972
C2×#290161