Finite Group Databasebeta

← #30625167

Subgroups — #30625167

Order 15616.

4892 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
1#21462799C212yesmaximal, complemented
2#21462421C212yesmaximal, complemented
3#21462420C212yesmaximal, complemented
4#21462419C216yesmaximal, complemented
5#21462418C216yesmaximal, complemented
6D61⋊#410C216yesmaximal, complemented
7C2×#16840741C216yesmaximal, complemented
8C2×#16840598C211yesmaximal, characteristic
9#16840831—28no—
10#16840830C2214yescomplemented
11#16840829C22112yescomplemented
12#41×#6923—28no—
13C2×#14519856C22112yescomplemented
14#16840743C22112yescomplemented
15#16840742C22112yescomplemented
16#16840741C2214yescomplemented
17#16840741C22112yescomplemented
18#16840741C22112yescomplemented
19#16840741C22112yescomplemented
20C2×#14519836C22112yescomplemented
21D61⋊#99C22124yescomplemented
22C2×#14519835C22112yescomplemented
23#16840598—28no—
24#16840598—28no—
25C2×#14519825C411yescharacteristic, complemented
26C2×#14519825C2211yescharacteristic
27C2×#14519824C413yescomplemented
28C2×#14519824C2211yescharacteristic
29C2×#14519823C411yescharacteristic, complemented
30C2×#14519823C2213yes—
31C2×#14519822C413yescomplemented
32C2×#14519822C2213yes—
33C22×#11758222C413yescomplemented
34C22×#11758222C2213yes—
35C2×#41×D61C413yescomplemented
36C2×#41×D61C411yescharacteristic, complemented
37C2×#41×D61C2213yes—
38C2×#41×D61C2211yescharacteristic
39C22×#41×C61C411yescharacteristic, complemented
40Q8×#6923—216no—
41D4×#6923—248no—
42#14519856—212no—
43#14519856—212no—
44#14519856C2318yes—
45#14519856C23124yes—
46C2×C4⋊#6923—212no—
47C2×C22⋊#6923C23124yes—
48C2×C4×#6923—212no—
49#14519836C23124yes—
50#14519836C2318yes—
51#14519835C2318yes—
52#14519835C23124yes—
53#14519825—28no—
54#14519825—28no—
55#14519824—28no—
56#14519824—224no—
57#14519823—28no—
58#14519823—224no—
59#14519822—224no—
60#14519822—224no—
61C2×#11758226C2×C411yescharacteristic
62C2×#11758226C2×C411yescharacteristic, complemented
63C2×#11758226C2×C413yescomplemented
64C2×#11758226C2313yes—
65C2×#11758222—212no—
66C2×#11758222—212no—
67C2×#11758222—212no—
68C2×#11758222—212no—
69C2×#11758222C2×C413yes—
70C2×#11758222C2×C413yescomplemented
71C2×#11758222C2×C413yescomplemented
72C2×#11758222C2×C413yescomplemented
73C2×#11758222C2×C413yescomplemented
74C2×#11758222C2×C413yescomplemented
75C2×#11758222C2×C416yescomplemented
76C2×#11758222C2×C413yescomplemented
77C2×#11758222C2×C413yescomplemented
78C2×#11758222C2313yes—
79C2×#11758222C2311yescharacteristic
80C2×#11758222C2313yes—
81C2×#11758222C2313yes—
82C2×#11758224C2×C413yes—
83C2×#11758224C2×C413yescomplemented
84C2×#11758224C2×C416yescomplemented
85C2×#11758224C2×C413yescomplemented
86C2×#11758224C2×C416yescomplemented
87C2×#11758224C2313yes—
88#41×D61—24no—
89#41×D61—24no—
90#41×D61—212no—
91#41×D61—212no—
92#41×D61—212no—
93#41×D61—212no—
94#41×D61D418yes—
95#41×D61D418yes—
96C22×Dic122C2×C413yescomplemented
97C22×Dic122C2×C413yescomplemented
98C2×Q8×D61C2×C413yescomplemented
99C2×Q8×D61C2×C411yescharacteristic, complemented
100C2×Q8×D61C2×C413yescomplemented
101C2×Q8×D61C2311yescharacteristic
102C22×D244C2×C413yescomplemented
103C22×D244C2313yes—
104C22×C22⋊D61C2×C416yescomplemented
105C22×C22⋊D61C2×C413yescomplemented
106C22×C22⋊D61C2313yes—
107C2×D4×D61C2×C416yescomplemented
108C2×D4×D61C2×C413yescomplemented
109C2×D4×D61C2×C413yescomplemented
110C2×D4×D61C2×C413yescomplemented
111C2×D4×D61C2316yes—
112C2×D4×D61C2313yes—
113C22×C4×D61C2×C413yescomplemented
114C22×C4×D61C2×C416yescomplemented
115C22×C4×D61C2313yes—
116C2×#41×C61—24no—
117C2×#41×C61—24no—
118C2×#41×C61C2×C411yescharacteristic
119C2×#41×C61C2×C413yescomplemented
120C2×#41×C61C2×C411yescharacteristic, complemented
121C2×#41×C61C2×C413yescomplemented
122C22×Q8×C61C2×C411yescharacteristic, complemented
123C22×D4×C61C2×C413yescomplemented
124C23×C4×C61C2×C413yescomplemented
125C24×C61C22×C413yes—
126C23×D61C22×C413yes—
127C23×D61C22×C416yes—
128C23×D61C2413yes—
129C22×#6923—224no—
130#41×C61—24no—
131#41×C61—212no—
132#41×C61—26no—
133#41×C61—26no—
134#41×C61C22⋊C414yes—
135#41×C61C22⋊C414yes—
136C2×Q8×C61—24no—
137C2×Q8×C61C22×C413yes—
138C2×Q8×C61C22×C411yescharacteristic
139C2×D4×C61—212no—
140C2×D4×C61C22×C413yes—
141C2×D4×C61C22×C416yes—
142C2×D4×C61C22×C413yes—
143C22×C4×C61—26no—
144C22×C4×C61—26no—
145C22×C4×C61C22×C413yes—
146C22×C4×C61C22×C413yes—
147C22×C4×C61C22×C413yes—
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C22×C413yes—
150C22×C4×C61C22×C413yes—
151C2×C22⋊D61—212no—
152C2×C22⋊D61—224no—
153C2×C22⋊D61—212no—
154C2×C22⋊D61C22×C413yes—
155C2×C22⋊D61C22×C413yes—
156C2×C22⋊D61C22×C413yes—
157C2×C22⋊D61C22×C416yes—
158C2×C22⋊D61C22×C413yes—
159C2×C22⋊D61C22×C411yescharacteristic
160C2×C22⋊D61C22×C413yes—
161C2×C22⋊D61C22×C416yes—
162C2×C22⋊D61C2413yes—
163C2×C22⋊D61C2411yescharacteristic
164C22×Dic61C22×C416yes—
165C22×Dic61C22×C413yes—
166C22×Dic61C22×C413yes—
167#11758226—24no—
168#11758226—212no—
169#11758226—212no—
170#11758226C22⋊C418yes—
171Q8×D61—24no—
172Q8×D61—212no—
173Q8×D61—212no—
174Q8×D61C2×D418yes—
175#11758224—212no—
176#11758224—224no—
177#11758224—224no—
178#11758224—212no—
179#11758224—212no—
180#11758224C22⋊C4124yes—
181D4×D61—224no—
182D4×D61—212no—
183D4×D61—224no—
184D4×D61—212no—
185D4×D61—212no—
186D4×D61C2×D4124yes—
187#11758222—26no—
188#11758222—26no—
189#11758222—224no—
190#11758222—212no—
191#11758222—26no—
192#11758222—26no—
193#11758222—26no—
194#11758222—26no—
195#11758222—212no—
196#11758222—212no—
197#11758222—26no—
198#11758222—26no—
199#11758222—22no—
200#11758222—22no—
201#11758222—212no—
202#11758222—212no—
203#11758222—212no—
204#11758222C22⋊C4112yes—
205#11758222C22⋊C4112yes—
206C2×D244—212no—
207C2×D244—212no—
208C2×D244C22×C413yes—
209C2×D244C22×C413yes—
210C2×D244C22×C413yes—
211C2×D244C22×C413yes—
212C2×D244C2413yes—
213C2×D244C2411yescharacteristic
214C2×C4×D61—26no—
215C2×C4×D61—26no—
216C2×C4×D61—212no—
217C2×C4×D61—212no—
218C2×C4×D61C22×C411yescharacteristic
219C2×C4×D61C22×C413yes—
220C2×C4×D61C22×C416yes—
221C2×C4×D61C22×C413yes—
222C2×C4×D61C22×C413yes—
223C2×C4×D61C22×C416yes—
224C2×C4×D61C22×C413yes—
225C2×C4×D61C22×C413yes—
226C2×C4×D61C2×D4112yes—
227C2×C4×D61C2×D4112yes—
228C2×C4×D61C2411yescharacteristic
229C2×C4×D61C2413yes—
230C2×Dic122—212no—
231C2×Dic122—212no—
232C2×Dic122C22×C413yes—
233C2×Dic122C22×C413yes—
234C2×Dic122C22×C413yes—
235C2×Dic122C22×C413yes—
236C2×Dic122C22×C411yescharacteristic
237C2×Dic122C22×C413yes—
238C22⋊#6923—224no—
239C22⋊#6923C24116yes—
240C4⋊#6923—28no—
241C4⋊#6923—224no—
242C4×#6923—28no—
243C4×#6923—224no—
244C23×C61—26no—
245C23×C61—83no—
246C23×C61C23×C413yes—
247C23×C61C23×C411yescharacteristic
248C23×C61C23×C413yes—
249C22×D61—26no—
250C22×D61—212no—
251C22×D61—83no—
252C22×D61—86no—
253C22×D61—83no—
254C22×D61C23×C413yes—
255C22×D61C23×C411yescharacteristic
256C22×D61C23×C413yes—
257C22×D61C22×D4112yes—
258C22×D61C2511yescharacteristic
259C2×#6923—216no—
260C2×#6923—824no—
261Q8×C61—26no—
262Q8×C61C2×C22⋊C414yes—
263D4×C61—212no—
264D4×C61—26no—
265D4×C61C2×C22⋊C4112yes—
266C2×C4×C61—26no—
267C2×C4×C61—26no—
268C2×C4×C61—23no—
269C2×C4×C61—23no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—26no—
273C2×C4×C61C2×C22⋊C416yes—
274C2×C4×C61C2×C22⋊C416yes—
275C2×C4×C61C23×C411yescharacteristic
276C2×C4×C61C23×C413yes—
277C2×C4×C61C23×C413yes—
278C2×C4×C61C23×C411yescharacteristic
279C22⋊D61—212no—
280C22⋊D61—26no—
281C22⋊D61—26no—
282C22⋊D61—22no—
283C22⋊D61—26no—
284C22⋊D61—22no—
285C22⋊D61—26no—
286C22⋊D61—26no—
287C22⋊D61—26no—
288C22⋊D61C2×C22⋊C4124yes—
289C2×Dic61—26no—
290C2×Dic61—212no—
291C2×Dic61C2×C22⋊C4112yes—
292C2×Dic61C23×C411yescharacteristic
293C2×Dic61C23×C413yes—
294C2×Dic61C23×C411yescharacteristic
295C2×Dic61C23×C413yes—
296D244—26no—
297D244—26no—
298D244—22no—
299D244—26no—
300D244—26no—
301D244C2×C22⋊C4112yes—
302C4×D61—212no—
303C4×D61—21no—
304C4×D61—23no—
305C4×D61—21no—
306C4×D61—23no—
307C4×D61—26no—
308C4×D61—26no—
309C4×D61—212no—
310C4×D61C2×C22⋊C416yes—
311C4×D61C2×C22⋊C416yes—
312C4×D61C2×C22⋊C4112yes—
313C4×D61C22×D412yes—
314C4×D61C22×D4112yes—
315C4×D61C22×D412yes—
316Dic122—26no—
317Dic122—22no—
318Dic122—26no—
319Dic122—26no—
320Dic122—26no—
321Dic122C2×C22⋊C4112yes—
322#60070—611nomaximal, Sylow
323C22×C61—23no—
324C22×C61—21no—
325C22×C61—43no—
326C22×C61—43no—
327C22×C61—41no—
328C22×C61—86no—
329C22×C61C22×C22⋊C416yes—
330C22×C61C24×C411yescharacteristic
331C2×D61—21no—
332C2×D61—23no—
333C2×D61—412no—
334C2×D61—43no—
335C2×D61—41no—
336C2×D61—43no—
337C2×D61—41no—
338C2×D61—812no—
339C2×D61—86no—
340C2×D61C22×C22⋊C416yes—
341C2×D61C23×D412yes—
342#6923—416no—
343C4×C61—21no—
344C4×C61—23no—
345C4×C61C22×C22⋊C416yes—
346C4×C61C22×C22⋊C411yescharacteristic
347C4×C61C22×C22⋊C411yescharacteristic
348Dic61—23no—
349Dic61—21no—
350Dic61C22×C22⋊C412yes—
351Dic61C22×C22⋊C416yes—
352C2×#585—611no—
353#3428—612no—
354#2884—612no—
355#2884—612no—
356#2883—616no—
357#2883—616no—
358C2×#410—616no—
359C2×#410—616no—
360C2×C61—21no—
361C2×C61—26no—
362C2×C61—43no—
363C2×C61—41no—
364C2×C61C23×C22⋊C411yescharacteristic
365D61—22no—
366D61—26no—
367D61—43no—
368D61—41no—
369#585—1228no—
370#585—1228no—
371C2×2−1+4—611no—
372C2×2−1+4—613no—
373C2×2−1+4—611no—
374C2×2−1+4—611no—
375C2×H(5,𝔽2)—613no—
376C2×H(5,𝔽2)—611no—
377C2×H(5,𝔽2)—613no—
378C2×H(5,𝔽2)—613no—
379C22×#41—611no—
380C22×#41—611no—
381C22×#41—613no—
382C22×#41—613no—
383C22×#41—613no—
384C22×#41—613no—
385C22×#41#692311yescharacteristic, complemented
386#520—1228no—
387#519—614no—
388#518—6112no—
389C4×#41—1228no—
390C2×#117—6112no—
391#410—614no—
392#410—6112no—
393#410—6112no—
394#410—6112no—
395#410—6112no—
396#410—6112no—
397C2×#99—6112no—
398C2×#99—6124no—
399C2×#99—6112no—
400C61#6007011yescharacteristic, complemented, Sylow
4012−1+4—1228no—
4022−1+4—1228no—
4032−1+4—1228no—
4042−1+4—12224no—
405H(5,𝔽2)—12224no—
406H(5,𝔽2)—12224no—
407H(5,𝔽2)—12224no—
408H(5,𝔽2)—1228no—
409C2×#41—24no—
410C2×#41—24no—
411C2×#41—618no—
412C2×#41—618no—
413C2×#41—611no—
414C2×#41—613no—
415C2×#41—611no—
416C2×#41—613no—
417C2×#41—613no—
418C2×#41—616no—
419C2×#41—616no—
420C2×#41—613no—
421C2×#41—613no—
422C2×#41—613no—
423C2×#41—613no—
424C2×#41—613no—
425C2×#41—613no—
426C2×#41—613no—
427C2×#41—613no—
428C2×#41—613no—
429C2×#41—616no—
430C2×#41—613no—
431C2×#41—613no—
432C2×#41—613no—
433C2×#41—611no—
434C2×#41—613no—
435C2×#41—613no—
436C2×#41—12212no—
437C2×#41—12212no—
438C2×#41—12212no—
439C2×#41—12212no—
440C2×#41—12212no—
441C2×#41—12212no—
442C2×#41—12212no—
443C2×#41—12212no—
444C2×#41—1224no—
445C2×#41—1224no—
446C2×#41C2×#692311yescharacteristic
447C2×#41C2×#692313yescomplemented
448C2×#41C2×#692311yescharacteristic, complemented
449C2×#41C2×#692313yescomplemented
450C22×Q8—611no—
451C22×Q8—613no—
452C22×Q8—613no—
453C22×Q8—611no—
454C22×Q8—613no—
455C22×Q8—613no—
456C22×Q8C2×#692311yescharacteristic, complemented
457C22×D4—613no—
458C22×D4—613no—
459C22×D4—616no—
460C22×D4—613no—
461C22×D4—613no—
462C22×D4—616no—
463C22×D4—613no—
464C22×D4—613no—
465C22×D4—616no—
466C22×D4—613no—
467C22×D4—613no—
468C22×D4C2×#692313yescomplemented
469C23×C4—613no—
470C23×C4—616no—
471C23×C4—613no—
472C23×C4C2×#692313yescomplemented
473C4×Q8—12216no—
474C4×D4—12248no—
475#117—618no—
476#117—6124no—
477#117—12212no—
478#117—12212no—
479C2×C4⋊C4—12212no—
480C2×C22⋊C4—6124no—
481C2×C42—12212no—
482#99—618no—
483#99—6124no—
484#99—6124no—
485#99—618no—
486C24—613no—
487C24—616no—
488C24—613no—
489C24C22×#692313yes—
490#41—24no—
491#41—212no—
492#41—26no—
493#41—26no—
494#41—618no—
495#41—6124no—
496#41—6112no—
497#41—6112no—
498#41—1226no—
499#41—1222no—
500#41—1226no—
501#41—1226no—
502#41—1226no—
503#41—1222no—
504#41—1226no—
505#41—1226no—
506#41—12212no—
507#41—12212no—
508#41—12212no—
509#41—12212no—
510#41—12224no—
511#41—12212no—
512#41—12212no—
513#41—12224no—
514#41—12212no—
515#41—12212no—
516#41—12224no—
517#41—12212no—
518#41—12212no—
519#41—1224no—
520#41—12212no—
521#41—1226no—
522#41—1226no—
523#41C22⋊#692314yes—
524#41C22⋊#692314yes—
525C2×Q8—24no—
526C2×Q8—618no—
527C2×Q8—613no—
528C2×Q8—613no—
529C2×Q8—613no—
530C2×Q8—613no—
531C2×Q8—611no—
532C2×Q8—613no—
533C2×Q8—12212no—
534C2×Q8—12212no—
535C2×Q8—12212no—
536C2×Q8—12212no—
537C2×Q8—1224no—
538C2×Q8C22×#692313yes—
539C2×Q8C22×#692311yescharacteristic
540C2×D4—212no—
541C2×D4—616no—
542C2×D4—6124no—
543C2×D4—613no—
544C2×D4—611no—
545C2×D4—613no—
546C2×D4—613no—
547C2×D4—613no—
548C2×D4—611no—
549C2×D4—613no—
550C2×D4—613no—
551C2×D4—616no—
552C2×D4—613no—
553C2×D4—613no—
554C2×D4—611no—
555C2×D4—613no—
556C2×D4—613no—
557C2×D4—613no—
558C2×D4—12212no—
559C2×D4—12212no—
560C2×D4—12212no—
561C2×D4—12212no—
562C2×D4—12224no—
563C2×D4—12212no—
564C2×D4—12224no—
565C2×D4—12224no—
566C2×D4—12212no—
567C2×D4—12212no—
568C2×D4C22×#692316yes—
569C2×D4C22×#692313yes—
570C2×D4C22×#692313yes—
571C22×C4—26no—
572C22×C4—26no—
573C22×C4—613no—
574C22×C4—6112no—
575C22×C4—6112no—
576C22×C4—611no—
577C22×C4—613no—
578C22×C4—613no—
579C22×C4—613no—
580C22×C4—616no—
581C22×C4—613no—
582C22×C4—613no—
583C22×C4—611no—
584C22×C4—616no—
585C22×C4—616no—
586C22×C4—613no—
587C22×C4—613no—
588C22×C4—12212no—
589C22×C4—12212no—
590C22×C4—1226no—
591C22×C4—1226no—
592C22×C4—12224no—
593C22×C4C22×#692313yes—
594C22×C4C22×#692311yescharacteristic
595C22×C4C22×#692313yes—
596C22×C4C22×#692313yes—
597C22×C4C22×#692313yes—
598C22×C4C22×#692313yes—
599C4⋊C4—1228no—
600C4⋊C4—12224no—
601C22⋊C4—6116no—
602C22⋊C4—12224no—
603C42—1228no—
604C42—12224no—
605C23—26no—
606C23—83no—
607C23—6112no—
608C23—613no—
609C23—611no—
610C23—613no—
611C23—611no—
612C23—12212no—
613C23—1226no—
614C23—4883no—
615C23—4886no—
616C23—4883no—
617C23C23×#692313yes—
618C23C23×#692311yescharacteristic
619C23C23×#692313yes—
620Q8—26no—
621Q8—6112no—
622Q8—1222no—
623Q8—1226no—
624Q8—1226no—
625Q8—1226no—
626Q8—1226no—
627Q8C2×C22⋊#692314yes—
628D4—212no—
629D4—26no—
630D4—6124no—
631D4—6112no—
632D4—1222no—
633D4—1226no—
634D4—1226no—
635D4—1226no—
636D4—1222no—
637D4—1226no—
638D4—1226no—
639D4—1226no—
640D4—1222no—
641D4—1226no—
642D4—1226no—
643D4—1226no—
644D4—12212no—
645D4—1226no—
646D4C2×C22⋊#6923112yes—
647C2×C4—26no—
648C2×C4—21no—
649C2×C4—23no—
650C2×C4—26no—
651C2×C4—26no—
652C2×C4—21no—
653C2×C4—23no—
654C2×C4—6112no—
655C2×C4—611no—
656C2×C4—613no—
657C2×C4—616no—
658C2×C4—6112no—
659C2×C4—6112no—
660C2×C4—612no—
661C2×C4—616no—
662C2×C4—612no—
663C2×C4—613no—
664C2×C4—611no—
665C2×C4—12212no—
666C2×C4—12212no—
667C2×C4—12212no—
668C2×C4—1226no—
669C2×C4—1223no—
670C2×C4—1221no—
671C2×C4—1226no—
672C2×C4—1226no—
673C2×C4—1223no—
674C2×C4—1221no—
675C2×C4—12216no—
676C2×C4—48824no—
677C2×C4C2×C22⋊#692316yes—
678C2×C4C2×C22⋊#692316yes—
679C2×C4C23×#692313yes—
680C2×C4C23×#692311yescharacteristic
681C2×C4C23×#692313yes—
682C2×C4C23×#692311yescharacteristic
683C22—21no—
684C22—23no—
685C22—43no—
686C22—41no—
687C22—43no—
688C22—86no—
689C22—612no—
690C22—616no—
691C22—1223no—
692C22—1221no—
693C22—4886no—
694C22—48812no—
695C22—24412no—
696C22—2441no—
697C22—2443no—
698C22—2441no—
699C22—2443no—
700C22C22×C22⋊#692316yes—
701C22C24×#692311yescharacteristic
702C4—21no—
703C4—23no—
704C4—612no—
705C4—616no—
706C4—1223no—
707C4—1221no—
708C4—24416no—
709C4C22×C22⋊#692311yescharacteristic
710C4C22×C22⋊#692316yes—
711C4C22×C22⋊#692311yescharacteristic
712C2—21no—
713C2—26no—
714C2—41no—
715C2—43no—
716C2—1222no—
717C2—1226no—
718C2—2441no—
719C2—2443no—
720C2C23×C22⋊#692311yescharacteristic
subgroupG/H
centerC4C22×C22⋊#6923
commutatorC22×C61C24×C4
FrattiniC22C24×#6923
FittingC22×#41×C61C4
socleC2×C61C23×C22⋊C4
prime radicalC2×#16840598C2
cosocleC22×D61C25
hypercenterC22×#41#6923
hypocenterC61#60070
LCSG ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C2×#41 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. #21462799C2semidirect
2. #21462421C2semidirect
3. #21462420C2semidirect
4. #21462419C2semidirect
5. #21462418C2semidirect
6. D61⋊#410C2semidirect
7. C2×#16840741C2semidirect
10. #16840830C22semidirect
11. #16840829C22semidirect
13. C2×#14519856C22semidirect
14. #16840743C22semidirect
15. #16840742C22semidirect
16. #16840741C22semidirect
17. #16840741C22semidirect
18. #16840741C22semidirect
19. #16840741C22semidirect
20. C2×#14519836C22semidirect
21. D61⋊#99C22semidirect
22. C2×#14519835C22semidirect
25. C2×#14519825C4semidirect
27. C2×#14519824C4semidirect
29. C2×#14519823C4semidirect
31. C2×#14519822C4semidirect
33. C22×#11758222C4semidirect
35. C2×#41×D61C4semidirect
36. C2×#41×D61C4semidirect
39. C22×#41×C61C4semidirect
62. C2×#11758226C2×C4semidirect
63. C2×#11758226C2×C4semidirect
70. C2×#11758222C2×C4semidirect
71. C2×#11758222C2×C4semidirect
72. C2×#11758222C2×C4semidirect
73. C2×#11758222C2×C4semidirect
74. C2×#11758222C2×C4semidirect
75. C2×#11758222C2×C4semidirect
76. C2×#11758222C2×C4semidirect
77. C2×#11758222C2×C4semidirect
83. C2×#11758224C2×C4semidirect
84. C2×#11758224C2×C4semidirect
85. C2×#11758224C2×C4semidirect
86. C2×#11758224C2×C4semidirect
96. C22×Dic122C2×C4semidirect
97. C22×Dic122C2×C4semidirect
98. C2×Q8×D61C2×C4semidirect
99. C2×Q8×D61C2×C4semidirect
100. C2×Q8×D61C2×C4semidirect
102. C22×D244C2×C4semidirect
104. C22×C22⋊D61C2×C4semidirect
105. C22×C22⋊D61C2×C4semidirect
107. C2×D4×D61C2×C4semidirect
108. C2×D4×D61C2×C4semidirect
109. C2×D4×D61C2×C4semidirect
110. C2×D4×D61C2×C4semidirect
113. C22×C4×D61C2×C4semidirect
114. C22×C4×D61C2×C4semidirect
119. C2×#41×C61C2×C4semidirect
120. C2×#41×C61C2×C4semidirect
121. C2×#41×C61C2×C4semidirect
122. C22×Q8×C61C2×C4semidirect
123. C22×D4×C61C2×C4semidirect
124. C23×C4×C61C2×C4semidirect
385. C22×#41#6923semidirect
400. C61#60070semidirect
447. C2×#41C2×#6923semidirect
448. C2×#41C2×#6923semidirect
449. C2×#41C2×#6923semidirect
456. C22×Q8C2×#6923semidirect
468. C22×D4C2×#6923semidirect
472. C23×C4C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214627992
#214624212
#214624202
#214624192
#214624182
D61⋊#4102
C2×#168407412
C2×#168405982
#6007061