Finite Group Databasebeta

← C2×#10594760 #11918701

Subgroups — C2×#10594760 #11918701

Order 1152.

3057 conjugacy classes of subgroups.

The subgroup lattice has 741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64319C211yesmaximal, characteristic
2C2×D32×Q8C211yesmaximal, characteristic, complemented
3C2×Q16×C3⋊D3C211yesmaximal, characteristic, complemented
4C2×C3×#918C212yesmaximal, complemented
5C2×#63946C212yesmaximal, complemented
6C2×#63944C211yesmaximal, characteristic, complemented
7C2×#63943C212yesmaximal, complemented
8C2×#63940C211yesmaximal, characteristic, complemented
9#10594760C2116yesmaximal, direct product factor
10C2×#63800C212yesmaximal, complemented
11C2×#63796C211yesmaximal, characteristic, complemented
12C2×#63791C211yesmaximal, characteristic, complemented
13C2×D3×#137—32nomaximal
14C2×Q8×C3⋊D3C2211yescharacteristic
15C2×Q8×C3⋊D3C2211yescharacteristic
16C2×C3×#239C2212yes—
17C2×C3×D3×Q8C2212yescomplemented
18#64319—24no—
19#64319C2218yes—
20D32×Q8—24no—
21D32×Q8C2218yescomplemented
22C2×#3802—21no—
23C2×#3802C2211yescharacteristic
24C2×C4×D32—21no—
25C2×C4×D32—21no—
26C2×C4×D32C2211yescharacteristic
27C2×#3797—21no—
28C2×#3797C2211yescharacteristic
29C2×#3795—22no—
30C2×#3795C2212yes—
31C2×D3×Dic6—22no—
32C2×D3×Dic6C2212yescomplemented
33C2×C32×Q16C2211yescharacteristic, complemented
34C2×#3756C2211yescharacteristic, complemented
35C2×#3756C2211yescharacteristic, complemented
36Q16×C3⋊D3C2218yescomplemented
37C2×#3746C2211yescharacteristic, complemented
38C2×C8×C3⋊D3C2211yescharacteristic
39C2×C3×#216C2212yescomplemented
40C2×C3×#215C2212yescomplemented
41C3×#918C22116yescomplemented
42C2×C3×#204C2212yescomplemented
43C2×C3×ΓL(1,𝔽25)C2212yescomplemented
44#63946C22116yescomplemented
45#63944C2218yescomplemented
46#63943C22116yescomplemented
47#63940C2218yescomplemented
48C2×#3719C2212yescomplemented
49C2×#3716C2212yescomplemented
50C2×#3715C2212yescomplemented
51C2×#3711C2212yescomplemented
52C2×#3710C2211yescharacteristic
53#63800C22116yescomplemented
54#63796C2218yescomplemented
55#63791C2218yescomplemented
56C2×D3×#41—32no—
57C22×D3×Q8—32no—
58C2×C3×#137—32no—
59C2×#951—32no—
60C2×#942—32no—
61D3×#137—332no—
62C2×#918—32no—
63C2×#918D312yescomplemented
64C2×D3×Q16—32no—
65C2×D3×Q16—32no—
66C2×D3×Q16—61no—
67C2×#915—32no—
68C2×#915—32no—
69C2×D3×SD16—32no—
70C2×D3×SD16—32no—
71C2×#909—32no—
72C2×D3×M16—32no—
73C22×D32—21no—
74C22×D32D411yescharacteristic
75C2×C32×Q8C2311yescharacteristic
76C2×C32×Q8C2311yescharacteristic
77Q8×C3⋊D3—22no—
78Q8×C3⋊D3—22no—
79Q8×C3⋊D3C2314yes—
80Q8×C3⋊D3C2314yes—
81C2×C4×C3⋊D3—21no—
82C2×C4×C3⋊D3—21no—
83C2×C4×C3⋊D3C2311yescharacteristic
84C2×#634—21no—
85C2×#634—21no—
86C2×#634C2311yescharacteristic
87C2×#634C2311yescharacteristic
88C3×#239—24no—
89C3×#239C2318yes—
90C3×D3×Q8—24no—
91C3×D3×Q8C2318yescomplemented
92C2×C3×D12—22no—
93C2×C3×D12C2312yes—
94C2×C3×C4×D3—22no—
95C2×C3×C4×D3—22no—
96C2×C3×C4×D3C2312yes—
97C2×C3×Dic6—22no—
98C2×C3×Dic6C2312yes—
99C2×#627—21no—
100C2×#627—22no—
101C2×#625—22no—
102C2×#625—21no—
103C2×#624—21no—
104C2×#624D411yescharacteristic
105C2×D3×Dic3—22no—
106C2×D3×Dic3—22no—
107C2×D3×Dic3D412yes—
108#3802—28no—
109#3802—22no—
110#3802C2314yes—
111C4×D32—28no—
112C4×D32—28no—
113C4×D32D414yes—
114C4×D32C2314yes—
115#3797—22no—
116#3797—28no—
117#3797C2314yes—
118#3795—24no—
119#3795—216no—
120#3795C2318yes—
121D3×Dic6—24no—
122D3×Dic6—216no—
123D3×Dic6C2318yescomplemented
124C32×Q16C2314yescomplemented
125C2×C32×C8C2311yescharacteristic
126#3756C2314yescomplemented
127#3756C2314yescomplemented
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3746C2314yescomplemented
130C8×C3⋊D3C2314yes—
131C3×#216C2318yescomplemented
132C3×#215C2318yescomplemented
133C2×C3×C3⋊C8C2312yes—
134C3×#204C2318yescomplemented
135C3×ΓL(1,𝔽25)C2318yescomplemented
136#3719C2318yescomplemented
137#3716C2318yescomplemented
138#3715C2318yescomplemented
139#3711C2318yescomplemented
140#3710C2314yes—
141C22×#137—91noSylow
142C2×C3×#41—32no—
143C22×C3×Q8—32no—
144D3×#41—316no—
145D3×#41—68no—
146C2×#239C2×D312yes—
147C2×D3×Q8—32no—
148C2×D3×Q8—32no—
149C2×D3×Q8—316no—
150C2×D3×Q8—32no—
151C2×D3×Q8—32no—
152C2×D3×Q8—61no—
153C2×D3×Q8—61no—
154C2×D3×Q8—62no—
155C2×D3×Q8—62no—
156C2×D3×Q8—68no—
157C2×D3×Q8C2×D312yescomplemented
158C2×#237—32no—
159C2×#237—62no—
160C2×D3×D4—32no—
161C2×D3×D4—62no—
162C2×#235—32no—
163C2×#235—62no—
164C22×C4×D3—32no—
165C22×C4×D3—62no—
166C22×C4×D3—62no—
167C22×Dic6—32no—
168C22×Dic6—62no—
169C3×#137—316no—
170C2×C3×Q16—21no—
171C2×C3×Q16—32no—
172C2×C3×Q16C2×D312yescomplemented
173C2×C3×SD16—32no—
174C2×C3×SD16—32no—
175C2×C3×M16—32no—
176#951—316no—
177C2×#216—32no—
178C2×#216—32no—
179C2×#216—32no—
180C2×#216—61no—
181C2×#216—61no—
182C2×#216C2×D312yescomplemented
183#942—316no—
184C2×#215—32no—
185C2×#215C2×D312yescomplemented
186C2×#214—32no—
187C2×#214—32no—
188C2×#208—32no—
189#918—316no—
190#918C2×D3116yescomplemented
191D3×Q16—316no—
192D3×Q16—316no—
193D3×Q16—68no—
194#915—316no—
195#915—316no—
196D3×SD16—316no—
197D3×SD16—316no—
198#909—316no—
199D3×M16—316no—
200C2×Dic12—32no—
201C2×Dic12—32no—
202C2×Dic12—61no—
203C2×#204—32no—
204C2×#204C2×D312yescomplemented
205C2×ΓL(1,𝔽25)—32no—
206C2×ΓL(1,𝔽25)C2×D312yescomplemented
207C2×D3×C8—32no—
208C2×D3×C8—32no—
209C2×D3×C8—61no—
210C22×C3⋊D3C2×D411yescharacteristic
211C22×C3×D3—22no—
212C22×C3×D3C2×D412yes—
213C2×D32—24no—
214C2×D32—24no—
215C2×D32—44no—
216C2×D32C2×D414yes—
217C32×Q8—21no—
218C32×Q8—21no—
219C32×Q8C2412yes—
220C32×Q8C2412yes—
221C2×C32×C4—21no—
222C2×C32×C4—21no—
223C2×C32×C4C2411yescharacteristic
224C2×C3⋊Dic3—21no—
225C2×C3⋊Dic3—21no—
226C2×C3⋊Dic3C2×D411yescharacteristic
227C4×C3⋊D3—24no—
228C4×C3⋊D3—24no—
229C4×C3⋊D3C2×D412yes—
230C4×C3⋊D3C2412yes—
231#634—21no—
232#634—21no—
233#634—24no—
234#634—24no—
235#634C2412yes—
236#634C2412yes—
237C2×C3×Dic3—22no—
238C2×C3×Dic3C2×D412yes—
239C3×D12—28no—
240C3×D12—22no—
241C3×D12C2414yes—
242C3×C4×D3—28no—
243C3×C4×D3—28no—
244C3×C4×D3C2×D414yes—
245C3×C4×D3C2414yes—
246C3×Dic6—22no—
247C3×Dic6—28no—
248C3×Dic6C2414yes—
249#627—24no—
250#627—28no—
251#625—28no—
252#625—24no—
253#624—24no—
254#624C2×D414yes—
255D3×Dic3—28no—
256D3×Dic3—28no—
257D3×Dic3C2×D418yes—
258C32×C8C2412yes—
259C3⋊(C3⋊C8)C2412yes—
260C3×C3⋊C8C2414yes—
261C22×#41—91no—
262C23×Q8—91no—
263C2×#137—32no—
264C2×#137—92no—
265C2×#137—92no—
266C2×#137—92no—
267C2×#137—916no—
268C22×Q16—91no—
269C22×Q16—91no—
270C22×SD16—91no—
271C22×SD16—91no—
272C22×M16—91no—
273C23×D3—32no—
274C23×D3—62no—
275C3×#41—38no—
276C3×#41—64no—
277C2×C3×Q8—21no—
278C2×C3×Q8—21no—
279C2×C3×Q8—38no—
280C2×C3×Q8—32no—
281C2×C3×Q8—62no—
282C2×C3×Q8—64no—
283C2×C3×Q8C22×D312yes—
284C2×C3×Q8C22×D312yes—
285C2×C3×D4—32no—
286C2×C3×D4—62no—
287C22×C3×C4—32no—
288C22×C3×C4—62no—
289C22×C3×C4—62no—
290C2×#67—62no—
291C2×#67—62no—
292C2×#67—62no—
293C22×Dic3—32no—
294C22×Dic3—62no—
295C22×Dic3—62no—
296#239—24no—
297#239C22×D318yes—
298D3×Q8—24no—
299D3×Q8—38no—
300D3×Q8—38no—
301D3×Q8—38no—
302D3×Q8—38no—
303D3×Q8—64no—
304D3×Q8—64no—
305D3×Q8—64no—
306D3×Q8—616no—
307D3×Q8—616no—
308D3×Q8—64no—
309D3×Q8—64no—
310D3×Q8—64no—
311D3×Q8—122no—
312D3×Q8—122no—
313D3×Q8C22×D318yescomplemented
314#237—38no—
315#237—616no—
316#237—64no—
317D3×D4—38no—
318D3×D4—64no—
319D3×D4—616no—
320#235—38no—
321#235—616no—
322#235—64no—
323C2×D12—22no—
324C2×D12C22×D312yes—
325C2×C4×D3—22no—
326C2×C4×D3—22no—
327C2×C4×D3—32no—
328C2×C4×D3—32no—
329C2×C4×D3—32no—
330C2×C4×D3—38no—
331C2×C4×D3—38no—
332C2×C4×D3—61no—
333C2×C4×D3—616no—
334C2×C4×D3—616no—
335C2×C4×D3—62no—
336C2×C4×D3—62no—
337C2×C4×D3—62no—
338C2×C4×D3—62no—
339C2×C4×D3—62no—
340C2×C4×D3—121no—
341C2×C4×D3—121no—
342C2×C4×D3C22×D312yes—
343C2×Dic6—22no—
344C2×Dic6—32no—
345C2×Dic6—32no—
346C2×Dic6—38no—
347C2×Dic6—61no—
348C2×Dic6—61no—
349C2×Dic6—616no—
350C2×Dic6—64no—
351C2×Dic6—62no—
352C2×Dic6—62no—
353C2×Dic6—62no—
354C2×Dic6—62no—
355C2×Dic6—62no—
356C2×Dic6—121no—
357C2×Dic6—121no—
358C2×Dic6C22×D312yes—
359C3×Q16—24no—
360C3×Q16—38no—
361C3×Q16C22×D318yescomplemented
362C3×SD16—38no—
363C3×SD16—38no—
364C3×M16—38no—
365C2×C3×C8—21no—
366C2×C3×C8—32no—
367C2×C3×C8C22×D312yes—
368#216—38no—
369#216—38no—
370#216—38no—
371#216—64no—
372#216—64no—
373#216C22×D318yescomplemented
374#215—38no—
375#215C22×D318yescomplemented
376#214—38no—
377#214—38no—
378#208—38no—
379C2×C3⋊C8—32no—
380C2×C3⋊C8—61no—
381C2×C3⋊C8C22×D312yes—
382Dic12—38no—
383Dic12—38no—
384Dic12—64no—
385#204—38no—
386#204C22×D318yescomplemented
387ΓL(1,𝔽25)—38no—
388ΓL(1,𝔽25)C22×D318yescomplemented
389D3×C8—38no—
390D3×C8—38no—
391D3×C8—64no—
392C22×C32C22×D411yescharacteristic
393C2×C3⋊D3#13714yescomplemented
394C2×C3⋊D3C22×D412yes—
395C2×C3×D3—24no—
396C2×C3×D3—24no—
397C2×C3×D3—44no—
398C2×C3×D3C22×D414yes—
399D32—28no—
400D32—48no—
401C32×C4—22no—
402C32×C4—22no—
403C32×C4C22×D411yescharacteristic
404C32×C4C2511yescharacteristic
405C3⋊Dic3—22no—
406C3⋊Dic3—22no—
407C3⋊Dic3C22×D412yes—
408C3×Dic3—24no—
409C3×Dic3C22×D414yes—
410C2×#41—32no—
411C2×#41—92no—
412C2×#41—98no—
413C2×#41—182no—
414C2×#41—184no—
415C22×Q8—32no—
416C22×Q8—92no—
417C22×Q8—91no—
418C22×Q8—98no—
419C22×Q8—91no—
420C22×Q8—91no—
421C22×Q8—182no—
422C22×Q8—181no—
423C22×Q8—184no—
424C22×D4—91no—
425C22×D4—181no—
426C23×C4—91no—
427C23×C4—181no—
428C23×C4—181no—
429#137—316no—
430#137—916no—
431#137—916no—
432#137—916no—
433C2×Q16—32no—
434C2×Q16—92no—
435C2×Q16—98no—
436C2×Q16—91no—
437C2×Q16—91no—
438C2×Q16—98no—
439C2×Q16—91no—
440C2×Q16D3211yescharacteristic, complemented
441C2×SD16—32no—
442C2×SD16—32no—
443C2×SD16—92no—
444C2×SD16—98no—
445C2×SD16—98no—
446C2×SD16—92no—
447C2×M16—32no—
448C2×M16—92no—
449C2×M16—98no—
450C22×C8—91no—
451C22×C8—91no—
452C23×C3—32no—
453C23×C3—62no—
454C22×D3—22no—
455C22×D3—32no—
456C22×D3—38no—
457C22×D3—61no—
458C22×D3—68no—
459C22×D3—68no—
460C22×D3—128no—
461C22×D3D3×D412yes—
462C3×Q8—22no—
463C3×Q8—22no—
464C3×Q8—22no—
465C3×Q8—22no—
466C3×Q8—34no—
467C3×Q8—41no—
468C3×Q8—41no—
469C3×Q8—68no—
470C3×Q8—62no—
471C3×Q8C23×D314yes—
472C3×Q8C23×D314yes—
473C3×D4—34no—
474C3×D4—68no—
475C3×D4—62no—
476C2×C3×C4—22no—
477C2×C3×C4—22no—
478C2×C3×C4—21no—
479C2×C3×C4—32no—
480C2×C3×C4—34no—
481C2×C3×C4—34no—
482C2×C3×C4—41no—
483C2×C3×C4—41no—
484C2×C3×C4—68no—
485C2×C3×C4—68no—
486C2×C3×C4—62no—
487C2×C3×C4C23×D312yes—
488#67—68no—
489#67—68no—
490#67—68no—
491C2×Dic3—22no—
492C2×Dic3—32no—
493C2×Dic3—38no—
494C2×Dic3—61no—
495C2×Dic3—68no—
496C2×Dic3—62no—
497C2×Dic3—62no—
498C2×Dic3—68no—
499C2×Dic3—121no—
500C2×Dic3—121no—
501C2×Dic3D3×D412yes—
502D12—28no—
503D12—22no—
504D12C23×D314yes—
505C4×D3—28no—
506C4×D3—28no—
507C4×D3—38no—
508C4×D3—34no—
509C4×D3—34no—
510C4×D3—38no—
511C4×D3—62no—
512C4×D3—62no—
513C4×D3—68no—
514C4×D3—68no—
515C4×D3—68no—
516C4×D3—68no—
517C4×D3—68no—
518C4×D3—124no—
519C4×D3—124no—
520C4×D3D3×D414yes—
521C4×D3C23×D314yes—
522Dic6—22no—
523Dic6—28no—
524Dic6—34no—
525Dic6—34no—
526Dic6—62no—
527Dic6—62no—
528Dic6—68no—
529Dic6—68no—
530Dic6—68no—
531Dic6—68no—
532Dic6—62no—
533Dic6—62no—
534Dic6—68no—
535Dic6—124no—
536Dic6—124no—
537Dic6—121no—
538Dic6—121no—
539Dic6C23×D314yes—
540C3×C8—22no—
541C3×C8—34no—
542C3×C8C23×D314yes—
543C3⋊C8—34no—
544C3⋊C8—62no—
545C3⋊C8C23×D314yes—
546C2×C32C2×#13712yescomplemented
547C2×C32C23×D411yescharacteristic
548C3⋊D3C2×#13714yescomplemented
549C3×D3—24no—
550C3×D3—44no—
551C24—91no—
552C24—181no—
553#41—38no—
554#41—64no—
555#41—98no—
556#41—184no—
557#41—1816no—
558C2×Q8—38no—
559C2×Q8—32no—
560C2×Q8—62no—
561C2×Q8—64no—
562C2×Q8—98no—
563C2×Q8—94no—
564C2×Q8—94no—
565C2×Q8—94no—
566C2×Q8—91no—
567C2×Q8—91no—
568C2×Q8—181no—
569C2×Q8—181no—
570C2×Q8—182no—
571C2×Q8—184no—
572C2×Q8—181no—
573C2×Q8—1816no—
574C2×Q8—182no—
575C2×Q8—182no—
576C2×Q8—188no—
577C2×Q8—182no—
578C2×Q8C2×D3211yescharacteristic
579C2×Q8C2×D3211yescharacteristic
580C2×D4—32no—
581C2×D4—62no—
582C2×D4—94no—
583C2×D4—182no—
584C2×D4—181no—
585C2×D4—188no—
586C2×D4—182no—
587C22×C4—32no—
588C22×C4—62no—
589C22×C4—62no—
590C22×C4—94no—
591C22×C4—91no—
592C22×C4—94no—
593C22×C4—92no—
594C22×C4—91no—
595C22×C4—181no—
596C22×C4—181no—
597C22×C4—182no—
598C22×C4—188no—
599C22×C4—188no—
600C22×C4—181no—
601C22×C4—182no—
602Q16—38no—
603Q16—98no—
604Q16—94no—
605Q16—94no—
606Q16—94no—
607Q16C2×D3214yescomplemented
608SD16—38no—
609SD16—38no—
610SD16—98no—
611SD16—98no—
612M16—38no—
613M16—98no—
614C2×C8—32no—
615C2×C8—94no—
616C2×C8—91no—
617C2×C8—94no—
618C2×C8C2×D3211yescharacteristic
619C22×C3—21no—
620C22×C3—34no—
621C22×C3—64no—
622C22×C3—64no—
623C22×C3—124no—
624C22×C3C2×D3×D412yes—
625C2×D3—24no—
626C2×D3—24no—
627C2×D3—34no—
628C2×D3—38no—
629C2×D3—44no—
630C2×D3—62no—
631C2×D3—64no—
632C2×D3—616no—
633C2×D3—1216no—
634C2×D3C2×D3×D414yes—
635C3×C4—24no—
636C3×C4—24no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—34no—
640C3×C4—42no—
641C3×C4—42no—
642C3×C4—64no—
643C3×C4C2×D3×D412yes—
644C3×C4C24×D312yes—
645Dic3—24no—
646Dic3—34no—
647Dic3—62no—
648Dic3—64no—
649Dic3—64no—
650Dic3—122no—
651Dic3—122no—
652Dic3C2×D3×D414yes—
653C32C22×#13711yescharacteristic, complemented, Sylow
654C23—32no—
655C23—62no—
656C23—94no—
657C23—91no—
658C23—184no—
659C23—184no—
660C23—364no—
661Q8—21no—
662Q8—21no—
663Q8—34no—
664Q8—68no—
665Q8—62no—
666Q8—92no—
667Q8—92no—
668Q8—184no—
669Q8—184no—
670Q8—188no—
671Q8—184no—
672Q8—181no—
673Q8—181no—
674Q8C22×D3212yes—
675Q8C22×D3212yes—
676D4—34no—
677D4—68no—
678D4—62no—
679D4—184no—
680D4—188no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—32no—
684C2×C4—34no—
685C2×C4—34no—
686C2×C4—68no—
687C2×C4—68no—
688C2×C4—62no—
689C2×C4—94no—
690C2×C4—98no—
691C2×C4—91no—
692C2×C4—92no—
693C2×C4—92no—
694C2×C4—184no—
695C2×C4—184no—
696C2×C4—188no—
697C2×C4—184no—
698C2×C4—188no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4C22×D3211yescharacteristic
702C8—34no—
703C8—92no—
704C8C22×D3212yes—
705C2×C3—21no—
706C2×C3—22no—
707C2×C3—64no—
708C2×C3—124no—
709C2×C3D3×#13714yescomplemented
710C2×C3C22×D3×D412yes—
711D3—24no—
712D3—38no—
713D3—44no—
714D3—64no—
715C22—34no—
716C22—64no—
717C22—64no—
718C22—92no—
719C22—94no—
720C22—124no—
721C22—188no—
722C22—368no—
723C22D32×D411yescharacteristic
724C4—22no—
725C4—22no—
726C4—34no—
727C4—64no—
728C4—92no—
729C4—182no—
730C4—182no—
731C4D32×D411yescharacteristic
732C4C23×D3211yescharacteristic
733C3—21no—
734C3C2×D3×#13712yescomplemented
735C2—64no—
736C2—94no—
737C2—124no—
738C2#1059476012yesdirect product factor
739C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radicalC2×#64319C2
hypercenterC2×Q16D32
hypocenterC32C22×#137
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
2. C2×D32×Q8C2semidirect
3. C2×Q16×C3⋊D3C2semidirect
4. C2×C3×#918C2semidirect
5. C2×#63946C2semidirect
6. C2×#63944C2semidirect
7. C2×#63943C2semidirect
8. C2×#63940C2semidirect
9. #10594760C2direct (N × H)
10. C2×#63800C2semidirect
11. C2×#63796C2semidirect
12. C2×#63791C2semidirect
17. C2×C3×D3×Q8C22semidirect
21. D32×Q8C22semidirect
32. C2×D3×Dic6C22semidirect
33. C2×C32×Q16C22semidirect
34. C2×#3756C22semidirect
35. C2×#3756C22semidirect
36. Q16×C3⋊D3C22semidirect
37. C2×#3746C22semidirect
39. C2×C3×#216C22semidirect
40. C2×C3×#215C22semidirect
41. C3×#918C22semidirect
42. C2×C3×#204C22semidirect
43. C2×C3×ΓL(1,𝔽25)C22semidirect
44. #63946C22semidirect
45. #63944C22semidirect
46. #63943C22semidirect
47. #63940C22semidirect
48. C2×#3719C22semidirect
49. C2×#3716C22semidirect
50. C2×#3715C22semidirect
51. C2×#3711C22semidirect
53. #63800C22semidirect
54. #63796C22semidirect
55. #63791C22semidirect
63. C2×#918D3semidirect
91. C3×D3×Q8C23semidirect
123. D3×Dic6C23semidirect
124. C32×Q16C23semidirect
126. #3756C23semidirect
127. #3756C23semidirect
129. #3746C23semidirect
131. C3×#216C23semidirect
132. C3×#215C23semidirect
134. C3×#204C23semidirect
135. C3×ΓL(1,𝔽25)C23semidirect
136. #3719C23semidirect
137. #3716C23semidirect
138. #3715C23semidirect
139. #3711C23semidirect
157. C2×D3×Q8C2×D3semidirect
172. C2×C3×Q16C2×D3semidirect
182. C2×#216C2×D3semidirect
185. C2×#215C2×D3semidirect
190. #918C2×D3semidirect
204. C2×#204C2×D3semidirect
206. C2×ΓL(1,𝔽25)C2×D3semidirect
313. D3×Q8C22×D3semidirect
361. C3×Q16C22×D3semidirect
373. #216C22×D3semidirect
375. #215C22×D3semidirect
386. #204C22×D3semidirect
388. ΓL(1,𝔽25)C22×D3semidirect
393. C2×C3⋊D3#137semidirect
440. C2×Q16D32semidirect
546. C2×C32C2×#137semidirect
548. C3⋊D3C2×#137semidirect
607. Q16C2×D32semidirect
653. C32C22×#137semidirect
709. C2×C3D3×#137semidirect
734. C3C2×D3×#137semidirect
738. C2#10594760direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#643192
C2×D32×Q82
C2×Q16×C3⋊D32
C2×C3×#9182
C2×#639462
C2×#639442
C2×#639432
C2×#639402
#105947602
C2×#638002
C2×#637962
C2×#637912
C2×D3×#1373