Finite Group Databasebeta

← #30549579

Subgroups — #30549579

Order 15616.

3274 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840570C211yesmaximal, characteristic, complemented
2C2×#16840567C211yesmaximal, characteristic, complemented
3C2×#16840565C211yesmaximal, characteristic, complemented
4#21459613C211yesmaximal, characteristic, complemented
5#21459593C211yesmaximal, characteristic, complemented
6#21456306C213yesmaximal, complemented
7#21456304C213yesmaximal, complemented
8#21456298C213yesmaximal, complemented
9#21456289C213yesmaximal, complemented
10#21456286C213yesmaximal, complemented
11#21456267C213yesmaximal, complemented
12#21456262C213yesmaximal, complemented
13C2×#16840148C213yesmaximal, complemented
14#21454245C211yesmaximal, characteristic, complemented
15C2×C61×#577C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840570—28no—
19#16840567—28no—
20#16840565—28no—
21C2×#14519808C2213yescomplemented
22C2×#14519805C2213yescomplemented
23C2×#14519805C2213yescomplemented
24C2×#14519803C2213yescomplemented
25C2×#14519802C2213yescomplemented
26C2×#14519802C2213yescomplemented
27C2×#14519799C2213yescomplemented
28C2×#14519797C2213yescomplemented
29C2×#14519797C2213yescomplemented
30C22×#11758201C2213yescomplemented
31C22×D488C2213yescomplemented
32C22×#11758199C2213yescomplemented
33C2×#14519784C2211yescharacteristic
34#16840431—22no—
35#16840423—22no—
36#16840400—26no—
37D4×C22⋊D61—26no—
38#16840336C2213yescomplemented
39#16840329C2213yescomplemented
40#16840326C2213yescomplemented
41#16840326C2213yescomplemented
42#16840308C2213yescomplemented
43#16840308C2213yescomplemented
44C2×#14519773C2213yescomplemented
45C2×#14519766C2213yescomplemented
46#41×Dic61C2211yescharacteristic
47#16840155C2213yescomplemented
48#16840155C2213yescomplemented
49#16840153C2211yescharacteristic, complemented
50#16840153C2213yescomplemented
51#16840150C2213yescomplemented
52#16840150C2213yescomplemented
53#16840148C2213yescomplemented
54#16840148C2216yescomplemented
55#16840148C2216yescomplemented
56#16840148C2216yescomplemented
57#16840148C2213yescomplemented
58#16840147C2216yescomplemented
59#16840143C2216yescomplemented
60#16840137C2216yescomplemented
61#16840133C2216yescomplemented
62#16839720C2213yescomplemented
63#16839717C2213yescomplemented
64M16×Dic61C2213yescomplemented
65C2×#14519687C2213yescomplemented
66C2×2−1+4×C61C2211yescharacteristic
67C2×H(5,𝔽2)×C61C2211yescharacteristic
68C61×#577—28no—
69C2×#137×C61C2213yescomplemented
70C2×AGL(1,ℤ/8)×C61C2213yescomplemented
71C2×#135×C61C2213yescomplemented
72C22×SD16×C61C2213yescomplemented
73C2×#131×C61C2211yescharacteristic
74#14519823—24no—
75#14519823—24no—
76#14519823—24no—
77#14519823—24no—
78C2×#11758226—21no—
79C2×#11758226—21no—
80C2×#11758222C2313yes—
81C2×#11758222C2313yes—
82C22×D244C2313yes—
83C22×D244C2313yes—
84C22×C22⋊D61—26no—
85C2×D4×D61—23no—
86C2×D4×D61—23no—
87#14519808—212no—
88#14519805—212no—
89#14519805—212no—
90#14519803—212no—
91#14519802—212no—
92#14519802—212no—
93#14519799—212no—
94#14519797—212no—
95#14519797—212no—
96C2×Dic244C2311yescharacteristic
97C2×#11758202C2311yescharacteristic
98C2×#11758202C2313yes—
99C2×#11758190C2313yes—
100C2×#11758190C2313yes—
101C2×#11758200C2311yescharacteristic
102C2×#11758200C2313yes—
103C2×#11758201—212no—
104C2×#11758201C2313yes—
105C2×#11758201C2316yes—
106C2×#11758201C2313yes—
107C2×D488—212no—
108C2×D488C2313yes—
109C2×D488C2316yes—
110C2×#11758199—212no—
111C2×#11758199C2313yes—
112C2×#11758199C2316yes—
113C2×#11758199C2313yes—
114#14519784D418yescomplemented
115C2×#11758194C2313yes—
116C22×#92418C2313yes—
117#14519775C2311yescharacteristic
118#14519775C2313yes—
119#14519773—26no—
120#14519773C2313yes—
121#14519773C2316yes—
122#14519773C2313yes—
123#14519766—26no—
124#14519766C2313yes—
125#14519766C2316yes—
126#14519766C2313yes—
127#14519764C2311yescharacteristic
128#14519764C2313yes—
129#14519760—26no—
130#14519753—26no—
131#14519751—26no—
132#14519751—26no—
133#14519749—26no—
134#14519749—26no—
135#14519748—26no—
136#14519746—26no—
137#14519745—26no—
138#14519745—26no—
139Q8×Dic61D412yes—
140D4×Dic61D416yes—
141C4×C22⋊D61—26no—
142C4×C22⋊D61—26no—
143#14519736C2313yes—
144C2×#11758198—26no—
145C2×C4×Dic61C2313yes—
146#14519687C2311yescharacteristic
147#14519687C2313yes—
148#14519687C2313yes—
149#14519687C2313yes—
150C8×Dic61C2316yes—
1512−1+4×C61—24no—
1522−1+4×C61—24no—
153H(5,𝔽2)×C61—24no—
154H(5,𝔽2)×C61—24no—
155C2×#41×C61—21no—
156C2×#41×C61—23no—
157C2×#41×C61C2313yes—
158C2×#41×C61C2313yes—
159C2×#41×C61C2311yescharacteristic
160C22×Q8×C61—21no—
161C22×Q8×C61C2313yes—
162C22×D4×C61—23no—
163C22×D4×C61C2313yes—
164#137×C61—212no—
165AGL(1,ℤ/8)×C61—212no—
166#135×C61—212no—
167C2×Q16×C61C2313yes—
168C2×SD16×C61—212no—
169C2×SD16×C61C2313yes—
170C2×SD16×C61C2316yes—
171C2×SD16×C61C2311yescharacteristic
172C2×D8×C61C2313yes—
173#131×C61D418yescomplemented
174C2×M16×C61C2313yes—
175C22×C8×C61C2313yes—
176C24×C61—23no—
177C23×D61—23no—
178C23×D61—23no—
179#41×C61—26no—
180#41×C61—26no—
181#41×C61—26no—
182#41×C61—26no—
183#41×C61—44no—
184#41×C61—412no—
185#41×C61C2×D414yes—
186#41×C61C2×D414yes—
187C2×Q8×C61—23no—
188C2×Q8×C61—26no—
189C2×Q8×C61—26no—
190C2×Q8×C61—44no—
191C2×Q8×C61C2×D411yescharacteristic
192C2×Q8×C61C2413yes—
193C2×Q8×C61C2411yescharacteristic
194C2×D4×C61—23no—
195C2×D4×C61—23no—
196C2×D4×C61—26no—
197C2×D4×C61—26no—
198C2×D4×C61—23no—
199C2×D4×C61—412no—
200C2×D4×C61C2×D413yes—
201C2×D4×C61C2411yescharacteristic
202C2×D4×C61C2413yes—
203C22×C4×C61—23no—
204C22×C4×C61—23no—
205C22×C4×C61—23no—
206C22×C4×C61C2413yes—
207C2×C22⋊D61—23no—
208C2×C22⋊D61—23no—
209C2×C22⋊D61—26no—
210C2×C22⋊D61—212no—
211C2×C22⋊D61—26no—
212C2×C22⋊D61—812no—
213C22×Dic61C2×D416yes—
214#11758226—44no—
215#11758226—44no—
216D4×D61—412no—
217D4×D61—412no—
218#11758222—26no—
219#11758222—26no—
220#11758222—26no—
221#11758222—26no—
222C2×D244—26no—
223C2×D244—26no—
224C2×D244—26no—
225C2×D244—26no—
226C2×D244—23no—
227C2×D244—23no—
228C2×D244C2413yes—
229C2×D244C2413yes—
230C2×C4×D61—23no—
231C2×C4×D61—23no—
232C2×Dic122C2411yescharacteristic
233C2×Dic122C2411yescharacteristic
234Q16×C61—26no—
235SD16×C61—26no—
236SD16×C61—212no—
237SD16×C61—22no—
238D8×C61—26no—
239M16×C61C2×D4112yescomplemented
240C2×C8×C61C2×D4112yescomplemented
241C2×C8×C61C2411yescharacteristic
242C2×C8×C61C2413yes—
243C22⋊Dic61—22no—
244C22⋊Dic61—26no—
245C22⋊Dic61C2×D416yes—
246#11758202—26no—
247#11758202—22no—
248#11758201—212no—
249#11758201—26no—
250#11758201—26no—
251#11758200—22no—
252#11758200—26no—
253#11758199—26no—
254#11758199—212no—
255#11758199—26no—
256#11758198—26no—
257#11758198—212no—
258#11758198—26no—
259C4⋊Dic61C2×D416yes—
260#11758196—22no—
261#11758196—26no—
262C4×Dic61C2×D416yes—
263C4×Dic61C2413yes—
264C4×Dic61C2411yescharacteristic
265#11758194C2×D4112yescomplemented
266C2×#92418C2×D4112yescomplemented
267C2×#92418C2413yes—
268C2×#92418C2411yescharacteristic
269Dic244—22no—
270D488—26no—
271D488—212no—
272#11758190—26no—
273#11758190—26no—
274C23×C61—21no—
275C23×C61—23no—
276C23×C61—46no—
277C23×C61—86no—
278C23×C61C22×D413yes—
279C22×D61—23no—
280C22×D61—23no—
281C22×D61—46no—
282C22×D61—46no—
283C22×D61—86no—
284C22×D61—86no—
285Q8×C61—23no—
286Q8×C61—21no—
287Q8×C61—23no—
288Q8×C61—21no—
289Q8×C61—46no—
290Q8×C61#12714yes—
291D4×C61—23no—
292D4×C61—21no—
293D4×C61—21no—
294D4×C61—23no—
295D4×C61—46no—
296D4×C61—46no—
297D4×C61—46no—
298D4×C61#127112yes—
299C2×C4×C61—21no—
300C2×C4×C61—23no—
301C2×C4×C61—46no—
302C2×C4×C61—46no—
303C2×C4×C61—46no—
304C2×C4×C61C22×D413yes—
305C2×C4×C61C22×D416yes—
306C2×C4×C61C22×D416yes—
307C2×C4×C61C2511yescharacteristic
308C22⋊D61—412no—
309C22⋊D61—46no—
310C22⋊D61—46no—
311C22⋊D61—86no—
312C22⋊D61—812no—
313C2×Dic61—21no—
314C2×Dic61—21no—
315C2×Dic61—46no—
316C2×Dic61C22×D412yes—
317C2×Dic61C22×D416yes—
318D244—23no—
319D244—23no—
320D244—23no—
321D244—23no—
322D244—46no—
323D244—46no—
324C4×D61—46no—
325C4×D61—46no—
326Dic122—21no—
327Dic122—21no—
328Dic122—21no—
329Dic122—21no—
330C8×C61C22×D416yes—
331C8×C61C22×D412yes—
332#92418C22×D412yes—
333#92418C22×D416yes—
334#60650—611nomaximal, Sylow
335C22×C61—26no—
336C22×C61—46no—
337C22×C61—42no—
338C22×C61—41no—
339C22×C61—43no—
340C22×C61—166no—
341C22×C61C2×#12716yes—
342C22×C61C23×D411yescharacteristic
343C2×D61—46no—
344C2×D61—46no—
345C2×D61—43no—
346C2×D61—43no—
347C2×D61—166no—
348C2×D61—166no—
349C4×C61—41no—
350C4×C61—43no—
351C4×C61C2×#12716yes—
352C4×C61C23×D411yescharacteristic
353C4×C61C23×D411yescharacteristic
354Dic61—22no—
355Dic61—26no—
356Dic61—41no—
357Dic61—41no—
358C2×#577—611no—
359C2×#577D6111yescharacteristic, complemented
360C2×#576—611no—
361C2×#576—611no—
362#3500—611no—
363#3498—611no—
364#3155—613no—
365#3155—613no—
366#3154—613no—
367#3154—613no—
368#3153—613no—
369#3151—613no—
370#3150—613no—
371C2×#496—613no—
372#2875—611no—
373C2×C61—26no—
374C2×C61—81no—
375C2×C61—83no—
376C2×C61C22×#12711yescharacteristic
377C2×C61#358512yes—
378D61—83no—
379D61—83no—
380C2×2−1+4C2×D6111yescharacteristic
381C2×H(5,𝔽2)—611no—
382C2×H(5,𝔽2)—611no—
383C2×H(5,𝔽2)C2×D6111yescharacteristic
384#577—28no—
385#577—1228no—
386#576—1228no—
387#576—1228no—
388C2×#137—613no—
389C2×#137C2×D6113yescomplemented
390C2×AGL(1,ℤ/8)—613no—
391C2×AGL(1,ℤ/8)—613no—
392C2×AGL(1,ℤ/8)—613no—
393C2×AGL(1,ℤ/8)—613no—
394C2×AGL(1,ℤ/8)—613no—
395C2×AGL(1,ℤ/8)C2×D6113yescomplemented
396C2×#135—613no—
397C2×#135—613no—
398C2×#135—613no—
399C2×#135C2×D6113yescomplemented
400C22×SD16—613no—
401C22×SD16C2×D6113yescomplemented
402C22×D8—613no—
403C22×D8—613no—
404C2×#131—611no—
405C2×#131C2×D6111yescharacteristic
406#550—1222no—
407#548—1222no—
408#546—1226no—
409D42—1226no—
410#536—613no—
411#535—613no—
412#535—613no—
413#535—613no—
414#532—613no—
415#532—613no—
416C2×#127—613no—
417C2×#124—613no—
418C4×#41—611no—
419#497—613no—
420#497—613no—
421#497—611no—
422#497—613no—
423#496—613no—
424#496—616no—
425#496—616no—
426#496—616no—
427#496—613no—
428#496—613no—
429#496—613no—
430#495—616no—
431#495—616no—
432#493—616no—
433#492—616no—
434#405—613no—
435#405—613no—
436C4×M16—613no—
437C2×#97—613no—
438C61#6065011yescharacteristic, complemented, Sylow
4392−1+4—24no—
4402−1+4—24no—
441H(5,𝔽2)—24no—
442H(5,𝔽2)—24no—
443H(5,𝔽2)—1224no—
444H(5,𝔽2)—1224no—
445H(5,𝔽2)—1224no—
446H(5,𝔽2)—1224no—
447C2×#41—21no—
448C2×#41—23no—
449C2×#41—613no—
450C2×#41—613no—
451C2×#41—1221no—
452C2×#41—1221no—
453C2×#41C22×D6113yes—
454C2×#41C22×D6113yes—
455C2×#41C22×D6111yescharacteristic
456C22×Q8—21no—
457C22×Q8C22×D6113yes—
458C22×D4—23no—
459C22×D4—613no—
460C22×D4—613no—
461C22×D4—1226no—
462C22×D4—1223no—
463C22×D4—1223no—
464C22×D4C22×D6113yes—
465#137—212no—
466#137—12212no—
467AGL(1,ℤ/8)—212no—
468AGL(1,ℤ/8)—12212no—
469AGL(1,ℤ/8)—12212no—
470AGL(1,ℤ/8)—12212no—
471AGL(1,ℤ/8)—12212no—
472AGL(1,ℤ/8)—12212no—
473#135—212no—
474#135—12212no—
475#135—12212no—
476#135—12212no—
477C2×Q16—611no—
478C2×Q16—613no—
479C2×Q16—611no—
480C2×Q16C22×D6113yes—
481C2×SD16—212no—
482C2×SD16—613no—
483C2×SD16—616no—
484C2×SD16—613no—
485C2×SD16—611no—
486C2×SD16—613no—
487C2×SD16—613no—
488C2×SD16—613no—
489C2×SD16—12212no—
490C2×SD16C22×D6113yes—
491C2×SD16C22×D6116yes—
492C2×SD16C22×D6111yescharacteristic
493C2×D8—613no—
494C2×D8—616no—
495C2×D8—613no—
496C2×D8—613no—
497C2×D8—616no—
498C2×D8—12212no—
499C2×D8—12212no—
500C2×D8C22×D6113yes—
501#131—618no—
502#131C22⋊D6118yescomplemented
503C2×M16—613no—
504C2×M16C22×D6113yes—
505C22×C8—613no—
506C22×C8C22×D6113yes—
507C4⋊Q8—611no—
508C4⋊Q8—613no—
509#127—613no—
510#127—616no—
511#127—613no—
512#127—1226no—
513#124—613no—
514#124—616no—
515#124—613no—
516#124—611no—
517#124—613no—
518#124—1226no—
519#123—1226no—
520C22⋊Q8—1226no—
521#121—1226no—
522#121—1226no—
523#121—1226no—
524#121—1226no—
525#121—1226no—
526#120—1226no—
527#120—1226no—
528#120—1226no—
529C4×Q8—612no—
530C4×D4—616no—
531C4×D4—1226no—
532C4×D4—1226no—
533#117—613no—
534C2×C22⋊C4—1226no—
535C2×C42—613no—
536#97—611no—
537#97—613no—
538#97—613no—
539#97—613no—
540C4×C8—616no—
541C24—23no—
542C24—1223no—
543C24—1223no—
544#41—26no—
545#41—26no—
546#41—26no—
547#41—26no—
548#41—44no—
549#41—412no—
550#41—1226no—
551#41—1226no—
552#41—1226no—
553#41—1226no—
554#41—2444no—
555#41—2444no—
556#41D4×D6114yes—
557#41C2×C22⋊D6114yes—
558C2×Q8—23no—
559C2×Q8—26no—
560C2×Q8—26no—
561C2×Q8—44no—
562C2×Q8—611no—
563C2×Q8—611no—
564C2×Q8D4×D6111yescharacteristic
565C2×Q8C23×D6113yes—
566C2×Q8C23×D6111yescharacteristic
567C2×D4—23no—
568C2×D4—23no—
569C2×D4—26no—
570C2×D4—23no—
571C2×D4—26no—
572C2×D4—412no—
573C2×D4—613no—
574C2×D4—613no—
575C2×D4—1226no—
576C2×D4—12212no—
577C2×D4—1226no—
578C2×D4—1223no—
579C2×D4—1223no—
580C2×D4—1226no—
581C2×D4—1226no—
582C2×D4—1223no—
583C2×D4—1223no—
584C2×D4—1226no—
585C2×D4—1226no—
586C2×D4—48812no—
587C2×D4—24412no—
588C2×D4—24412no—
589C2×D4D4×D6113yes—
590C2×D4C23×D6111yescharacteristic
591C2×D4C23×D6113yes—
592C22×C4—23no—
593C22×C4—23no—
594C22×C4—23no—
595C22×C4—616no—
596C22×C4—1223no—
597C22×C4—1223no—
598C22×C4C23×D6113yes—
599Q16—26no—
600Q16—1222no—
601Q16—1226no—
602Q16—1222no—
603SD16—26no—
604SD16—212no—
605SD16—22no—
606SD16—1222no—
607SD16—1226no—
608SD16—1226no—
609SD16—12212no—
610SD16—1226no—
611SD16—1226no—
612SD16—1226no—
613D8—26no—
614D8—1226no—
615D8—12212no—
616D8—1226no—
617D8—1226no—
618D8—12212no—
619M16—6112no—
620M16C2×C22⋊D61112yescomplemented
621C2×C8—6112no—
622C2×C8—613no—
623C2×C8—611no—
624C2×C8C2×C22⋊D61112yescomplemented
625C2×C8C23×D6113yes—
626C2×C8C23×D6111yescharacteristic
627C4⋊C4—616no—
628C4⋊C4—1222no—
629C4⋊C4—1226no—
630C22⋊C4—616no—
631C22⋊C4—1226no—
632C22⋊C4—12212no—
633C22⋊C4—1226no—
634C22⋊C4—1222no—
635C22⋊C4—1226no—
636C42—616no—
637C42—613no—
638C42—611no—
639C23—21no—
640C23—23no—
641C23—46no—
642C23—86no—
643C23—1223no—
644C23—1223no—
645C23—4886no—
646C23—4886no—
647C23—2446no—
648C23—2446no—
649C23C2×D4×D6113yes—
650Q8—23no—
651Q8—21no—
652Q8—23no—
653Q8—21no—
654Q8—46no—
655Q8—1221no—
656Q8—1221no—
657Q8—1221no—
658Q8—1221no—
659Q8#1451977314yes—
660D4—23no—
661D4—21no—
662D4—21no—
663D4—23no—
664D4—46no—
665D4—46no—
666D4—46no—
667D4—1223no—
668D4—1223no—
669D4—1223no—
670D4—1223no—
671D4—4886no—
672D4—48812no—
673D4—24412no—
674D4—2446no—
675D4—2446no—
676D4—2446no—
677D4—2446no—
678D4#14519773112yes—
679C2×C4—21no—
680C2×C4—23no—
681C2×C4—46no—
682C2×C4—46no—
683C2×C4—46no—
684C2×C4—612no—
685C2×C4—616no—
686C2×C4—1221no—
687C2×C4—1221no—
688C2×C4—2446no—
689C2×C4—2446no—
690C2×C4—2446no—
691C2×C4C2×D4×D6113yes—
692C2×C4C2×D4×D6116yes—
693C2×C4C22×C22⋊D6116yes—
694C2×C4C24×D6111yescharacteristic
695C8—612no—
696C8—616no—
697C8C22×C22⋊D6112yes—
698C8C22×C22⋊D6116yes—
699C22—26no—
700C22—42no—
701C22—46no—
702C22—41no—
703C22—43no—
704C22—166no—
705C22—9766no—
706C22—9766no—
707C22—2446no—
708C22—2446no—
709C22—2443no—
710C22—2443no—
711C22C2×#1451977316yes—
712C22C22×D4×D6111yescharacteristic
713C4—41no—
714C4—43no—
715C4—1222no—
716C4—1226no—
717C4—2441no—
718C4—2441no—
719C4C2×#1451977316yes—
720C4C22×D4×D6111yescharacteristic
721C4C23×C22⋊D6111yescharacteristic
722C2—26no—
723C2—83no—
724C2—81no—
725C2—4883no—
726C2—4883no—
727C2C22×#1451977311yescharacteristic
728C2#2146059712yes—
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#577C2
socleC22×C61C23×D4
hypercenterC2×#577D61
hypocenterC61#60650
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×#577

Complements

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

NH ≅ G/Ntype
1. C2×#16840570C2semidirect
2. C2×#16840567C2semidirect
3. C2×#16840565C2semidirect
4. #21459613C2semidirect
5. #21459593C2semidirect
6. #21456306C2semidirect
7. #21456304C2semidirect
8. #21456298C2semidirect
9. #21456289C2semidirect
10. #21456286C2semidirect
11. #21456267C2semidirect
12. #21456262C2semidirect
13. C2×#16840148C2semidirect
14. #21454245C2semidirect
15. C2×C61×#577C2semidirect
21. C2×#14519808C22semidirect
22. C2×#14519805C22semidirect
23. C2×#14519805C22semidirect
24. C2×#14519803C22semidirect
25. C2×#14519802C22semidirect
26. C2×#14519802C22semidirect
27. C2×#14519799C22semidirect
28. C2×#14519797C22semidirect
29. C2×#14519797C22semidirect
30. C22×#11758201C22semidirect
31. C22×D488C22semidirect
32. C22×#11758199C22semidirect
38. #16840336C22semidirect
39. #16840329C22semidirect
40. #16840326C22semidirect
41. #16840326C22semidirect
42. #16840308C22semidirect
43. #16840308C22semidirect
44. C2×#14519773C22semidirect
45. C2×#14519766C22semidirect
47. #16840155C22semidirect
48. #16840155C22semidirect
49. #16840153C22semidirect
50. #16840153C22semidirect
51. #16840150C22semidirect
52. #16840150C22semidirect
53. #16840148C22semidirect
54. #16840148C22semidirect
55. #16840148C22semidirect
56. #16840148C22semidirect
57. #16840148C22semidirect
58. #16840147C22semidirect
59. #16840143C22semidirect
60. #16840137C22semidirect
61. #16840133C22semidirect
62. #16839720C22semidirect
63. #16839717C22semidirect
64. M16×Dic61C22semidirect
65. C2×#14519687C22semidirect
69. C2×#137×C61C22semidirect
70. C2×AGL(1,ℤ/8)×C61C22semidirect
71. C2×#135×C61C22semidirect
72. C22×SD16×C61C22semidirect
114. #14519784D4semidirect
173. #131×C61D4semidirect
239. M16×C61C2×D4semidirect
240. C2×C8×C61C2×D4semidirect
265. #11758194C2×D4semidirect
266. C2×#92418C2×D4semidirect
359. C2×#577D61semidirect
389. C2×#137C2×D61semidirect
395. C2×AGL(1,ℤ/8)C2×D61semidirect
399. C2×#135C2×D61semidirect
401. C22×SD16C2×D61semidirect
438. C61#60650semidirect
502. #131C22⋊D61semidirect
620. M16C2×C22⋊D61semidirect
624. C2×C8C2×C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405702
C2×#168405672
C2×#168405652
#214596132
#214595932
#214563062
#214563042
#214562982
#214562892
#214562862
#214562672
#214562622
C2×#168401482
#214542452
C2×C61×#5772
#6065061