Finite Group Databasebeta

← C2×#10594742 #11918699

Subgroups — C2×#10594742 #11918699

Order 1152.

3077 conjugacy classes of subgroups.

The subgroup lattice has 751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D32×Q8C211yesmaximal, characteristic, complemented
2C2×#64312C211yesmaximal, characteristic
3C2×SD16×C3⋊D3C211yesmaximal, characteristic, complemented
4C2×C3×#915C212yesmaximal, complemented
5C2×#63948C212yesmaximal, complemented
6C2×#63944C211yesmaximal, characteristic, complemented
7C2×#63930C211yesmaximal, characteristic, complemented
8C2×#63929C212yesmaximal, complemented
9#10594742C2116yesmaximal, direct product factor
10C2×#63802C211yesmaximal, characteristic, complemented
11C2×#63801C212yesmaximal, complemented
12C2×#63791C211yesmaximal, characteristic, complemented
13C2×D3×#137—32nomaximal
14C2×Q8×C3⋊D3C2211yescharacteristic
15C2×D4×C3⋊D3C2211yescharacteristic
16C2×C3×D3×Q8C2212yescomplemented
17C2×C3×#237C2212yes—
18C2×#3811—21no—
19C22×#624—21no—
20C2×#3804—22no—
21D32×Q8—24no—
22D32×Q8C2218yescomplemented
23#64312—24no—
24#64312C2218yes—
25C2×C4×D32—21no—
26C2×C4×D32C2211yescharacteristic
27C2×#3799C2212yes—
28C2×#3797—21no—
29C2×#3797C2211yescharacteristic
30C2×#3797C2211yescharacteristic
31C2×D3×Dic6—22no—
32C2×D3×Dic6C2212yescomplemented
33C2×C32×SD16C2211yescharacteristic, complemented
34C2×#3755C2211yescharacteristic, complemented
35C2×#3754C2211yescharacteristic, complemented
36SD16×C3⋊D3C2218yescomplemented
37C2×#3744C2211yescharacteristic, complemented
38C2×C8×C3⋊D3C2211yescharacteristic
39C2×C3×#216C2212yescomplemented
40C2×C3×#214C2212yescomplemented
41C3×#915C22116yescomplemented
42C2×C3×Dic12C2212yescomplemented
43C2×C3×ΓL(1,𝔽25)C2212yescomplemented
44#63948C22116yescomplemented
45#63944C2218yescomplemented
46#63930C2218yescomplemented
47#63929C22116yescomplemented
48C2×#3719C2212yescomplemented
49C2×#3718C2212yescomplemented
50C2×#3717C2212yescomplemented
51C2×#3711C2212yescomplemented
52C2×#3710C2211yescharacteristic
53#63802C2218yescomplemented
54#63801C22116yescomplemented
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×#918—32no—
64C2×D3×Q16—32no—
65C2×D3×Q16—32no—
66C2×#915—32no—
67C2×#915D312yescomplemented
68C2×D3×SD16—32no—
69C2×D3×SD16—32no—
70C2×D3×SD16—61no—
71C2×#909—32no—
72C2×D3×M16—32no—
73C23×C3⋊D3—21no—
74C22×D32D411yescharacteristic
75C2×C32×Q8C2311yescharacteristic
76C2×C32×D4C2311yescharacteristic
77C2×#638—21no—
78Q8×C3⋊D3—22no—
79Q8×C3⋊D3C2314yes—
80D4×C3⋊D3—22no—
81D4×C3⋊D3C2314yes—
82C2×C4⋊(C3⋊D3)C2311yescharacteristic
83C2×C4×C3⋊D3—21no—
84C2×C4×C3⋊D3C2311yescharacteristic
85C2×#634—21no—
86C2×#634C2311yescharacteristic
87C2×C3×#67—22no—
88C22×C3×Dic3—22no—
89C3×D3×Q8—24no—
90C3×D3×Q8C2318yescomplemented
91C3×#237—24no—
92C3×#237C2318yes—
93C2×C3×C4×D3—22no—
94C2×C3×C4×D3C2312yes—
95C2×C3×Dic6—22no—
96C2×C3×Dic6C2312yes—
97C2×C3×Dic6C2312yes—
98#3811—28no—
99C2×#627—21no—
100C2×#627—21no—
101C2×#627—22no—
102C2×#626—22no—
103C2×#624—21no—
104C2×#624—21no—
105C2×#624—22no—
106C2×#624—28no—
107C2×#624D411yescharacteristic
108#3804—216no—
109C2×D3×Dic3—22no—
110C2×D3×Dic3D412yes—
111C4×D32—28no—
112C4×D32D414yes—
113C4×D32C2314yes—
114#3799—24no—
115#3799C2318yes—
116#3797—22no—
117#3797—22no—
118#3797—28no—
119#3797C2314yes—
120#3797C2314yes—
121D3×Dic6—24no—
122D3×Dic6—216no—
123D3×Dic6C2318yescomplemented
124C32×SD16C2314yescomplemented
125C2×C32×C8C2311yescharacteristic
126#3755C2314yescomplemented
127#3754C2314yescomplemented
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3744C2314yescomplemented
130C8×C3⋊D3C2314yes—
131C3×#216C2318yescomplemented
132C3×#214C2318yescomplemented
133C2×C3×C3⋊C8C2312yes—
134C3×Dic12C2318yescomplemented
135C3×ΓL(1,𝔽25)C2318yescomplemented
136#3719C2318yescomplemented
137#3718C2318yescomplemented
138#3717C2318yescomplemented
139#3711C2318yescomplemented
140#3710C2314yes—
141C22×#137—91noSylow
142C2×C3×#41—32no—
143C22×C3×Q8—32no—
144D3×#41—316no—
145D3×#41—68no—
146C2×#239—32no—
147C2×D3×Q8—32no—
148C2×D3×Q8—316no—
149C2×D3×Q8—32no—
150C2×D3×Q8—32no—
151C2×D3×Q8—32no—
152C2×D3×Q8—61no—
153C2×D3×Q8—62no—
154C2×D3×Q8—62no—
155C2×D3×Q8—68no—
156C2×D3×Q8C2×D312yescomplemented
157C2×#237—62no—
158C2×#237C2×D312yes—
159C2×D3×D4—32no—
160C2×D3×D4—61no—
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—32no—
171C2×C3×Q16—32no—
172C2×C3×SD16—21no—
173C2×C3×SD16—32no—
174C2×C3×SD16C2×D312yescomplemented
175C2×C3×M16—32no—
176#951—316no—
177C2×#216—32no—
178C2×#216—32no—
179C2×#216—32no—
180C2×#216C2×D312yescomplemented
181#942—316no—
182C2×#215—32no—
183C2×#215—32no—
184C2×#215—61no—
185C2×#214—32no—
186C2×#214—61no—
187C2×#214C2×D312yescomplemented
188C2×#208—32no—
189#918—316no—
190#918—316no—
191D3×Q16—316no—
192D3×Q16—316no—
193#915—316no—
194#915C2×D3116yescomplemented
195D3×SD16—316no—
196D3×SD16—316no—
197D3×SD16—68no—
198#909—316no—
199D3×M16—316no—
200C2×Dic12—32no—
201C2×Dic12C2×D312yescomplemented
202C2×#204—32no—
203C2×#204—32no—
204C2×#204—61no—
205C2×ΓL(1,𝔽25)—32no—
206C2×ΓL(1,𝔽25)C2×D312yescomplemented
207C2×D3×C8—32no—
208C2×D3×C8—32no—
209C2×D3×C8—61no—
210C23×C32—21no—
211C22×C3⋊D3—21no—
212C22×C3⋊D3—24no—
213C22×C3⋊D3—44no—
214C22×C3⋊D3C2×D411yescharacteristic
215C22×C3×D3C2×D412yes—
216C2×D32—24no—
217C2×D32C2×D414yes—
218C32×Q8—21no—
219C32×Q8C2412yes—
220C32×D4—21no—
221C32×D4C2412yes—
222C2×C32×C4—21no—
223C2×C32×C4C2411yescharacteristic
224#638—24no—
225C2×C3⋊Dic3—21no—
226C2×C3⋊Dic3C2×D411yescharacteristic
227C4⋊(C3⋊D3)—21no—
228C4⋊(C3⋊D3)C2412yes—
229C4×C3⋊D3—24no—
230C4×C3⋊D3C2×D412yes—
231C4×C3⋊D3C2412yes—
232#634—21no—
233#634—24no—
234#634C2412yes—
235C3×#67—28no—
236C2×C3×Dic3—22no—
237C2×C3×Dic3—22no—
238C2×C3×Dic3—28no—
239C2×C3×Dic3C2×D412yes—
240C3×C4×D3—28no—
241C3×C4×D3C2×D414yes—
242C3×C4×D3C2414yes—
243C3×Dic6—22no—
244C3×Dic6—22no—
245C3×Dic6—28no—
246C3×Dic6C2414yes—
247C3×Dic6C2414yes—
248#627—24no—
249#627—24no—
250#627—28no—
251#626—28no—
252#624—24no—
253#624—24no—
254#624—28no—
255#624C2×D414yes—
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—
275C23×D3—121no—
276C3×#41—38no—
277C3×#41—64no—
278C2×C3×Q8—21no—
279C2×C3×Q8—38no—
280C2×C3×Q8—32no—
281C2×C3×Q8—32no—
282C2×C3×Q8—62no—
283C2×C3×Q8—64no—
284C2×C3×Q8C22×D312yes—
285C2×C3×D4—21no—
286C2×C3×D4—62no—
287C2×C3×D4C22×D312yes—
288C22×C3×C4—32no—
289C22×C3×C4—62no—
290C22×C3×C4—62no—
291C2×#67—22no—
292C2×#67—62no—
293C2×#67—62no—
294C2×#67—121no—
295C22×Dic3—22no—
296C22×Dic3—32no—
297C22×Dic3—62no—
298#239—38no—
299#239—64no—
300D3×Q8—24no—
301D3×Q8—38no—
302D3×Q8—38no—
303D3×Q8—38no—
304D3×Q8—38no—
305D3×Q8—64no—
306D3×Q8—64no—
307D3×Q8—616no—
308D3×Q8—64no—
309D3×Q8—616no—
310D3×Q8—64no—
311D3×Q8—64no—
312D3×Q8—122no—
313D3×Q8C22×D318yescomplemented
314#237—24no—
315#237—616no—
316#237C22×D318yes—
317D3×D4—38no—
318D3×D4—64no—
319D3×D4—64no—
320D3×D4—616no—
321D3×D4—122no—
322#235—38no—
323#235—64no—
324#235—616no—
325C2×D12—32no—
326C2×D12—61no—
327C2×D12—62no—
328C2×C4×D3—22no—
329C2×C4×D3—32no—
330C2×C4×D3—32no—
331C2×C4×D3—32no—
332C2×C4×D3—38no—
333C2×C4×D3—38no—
334C2×C4×D3—61no—
335C2×C4×D3—616no—
336C2×C4×D3—616no—
337C2×C4×D3—62no—
338C2×C4×D3—62no—
339C2×C4×D3—62no—
340C2×C4×D3—62no—
341C2×C4×D3—62no—
342C2×C4×D3—62no—
343C2×C4×D3—121no—
344C2×C4×D3C22×D312yes—
345C2×Dic6—22no—
346C2×Dic6—32no—
347C2×Dic6—38no—
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×Dic6C22×D312yes—
358C2×Dic6C22×D312yes—
359C3×Q16—38no—
360C3×Q16—38no—
361C3×SD16—24no—
362C3×SD16—38no—
363C3×SD16C22×D318yescomplemented
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#216C22×D318yescomplemented
372#215—38no—
373#215—38no—
374#215—64no—
375#214—38no—
376#214—64no—
377#214C22×D318yescomplemented
378#208—38no—
379C2×C3⋊C8—32no—
380C2×C3⋊C8—61no—
381C2×C3⋊C8C22×D312yes—
382Dic12—38no—
383Dic12C22×D318yescomplemented
384#204—38no—
385#204—38no—
386#204—64no—
387ΓL(1,𝔽25)—38no—
388ΓL(1,𝔽25)C22×D318yescomplemented
389D3×C8—38no—
390D3×C8—38no—
391D3×C8—64no—
392C22×C32—22no—
393C22×C32—42no—
394C22×C32C22×D411yescharacteristic
395C2×C3⋊D3—22no—
396C2×C3⋊D3—42no—
397C2×C3⋊D3—48no—
398C2×C3⋊D3#13714yescomplemented
399C2×C3⋊D3C22×D412yes—
400C2×C3×D3—24no—
401C2×C3×D3C22×D414yes—
402D32—28no—
403C32×C4—22no—
404C32×C4C22×D411yescharacteristic
405C32×C4C2511yescharacteristic
406C3⋊Dic3—22no—
407C3⋊Dic3C22×D412yes—
408C3×Dic3—24no—
409C3×Dic3—24no—
410C3×Dic3C22×D414yes—
411C2×#41—32no—
412C2×#41—92no—
413C2×#41—98no—
414C2×#41—182no—
415C2×#41—184no—
416C22×Q8—32no—
417C22×Q8—92no—
418C22×Q8—91no—
419C22×Q8—91no—
420C22×Q8—98no—
421C22×Q8—91no—
422C22×Q8—182no—
423C22×Q8—181no—
424C22×Q8—184no—
425C22×D4—91no—
426C22×D4—181no—
427C23×C4—91no—
428C23×C4—181no—
429C23×C4—181no—
430#137—316no—
431#137—916no—
432#137—916no—
433#137—916no—
434C2×Q16—32no—
435C2×Q16—32no—
436C2×Q16—92no—
437C2×Q16—98no—
438C2×Q16—98no—
439C2×Q16—92no—
440C2×SD16—32no—
441C2×SD16—92no—
442C2×SD16—98no—
443C2×SD16—91no—
444C2×SD16—91no—
445C2×SD16—98no—
446C2×SD16—91no—
447C2×SD16D3211yescharacteristic, complemented
448C2×M16—32no—
449C2×M16—92no—
450C2×M16—98no—
451C22×C8—91no—
452C22×C8—91no—
453C23×C3—22no—
454C23×C3—32no—
455C23×C3—41no—
456C22×D3—32no—
457C22×D3—38no—
458C22×D3—61no—
459C22×D3—68no—
460C22×D3—68no—
461C22×D3—62no—
462C22×D3—124no—
463C22×D3—121no—
464C22×D3—128no—
465C22×D3—244no—
466C22×D3D3×D412yes—
467C3×Q8—22no—
468C3×Q8—22no—
469C3×Q8—34no—
470C3×Q8—34no—
471C3×Q8—41no—
472C3×Q8—68no—
473C3×Q8—62no—
474C3×Q8—62no—
475C3×Q8C23×D314yes—
476C3×D4—22no—
477C3×D4—22no—
478C3×D4—41no—
479C3×D4—68no—
480C3×D4C23×D314yes—
481C2×C3×C4—22no—
482C2×C3×C4—21no—
483C2×C3×C4—32no—
484C2×C3×C4—34no—
485C2×C3×C4—34no—
486C2×C3×C4—41no—
487C2×C3×C4—68no—
488C2×C3×C4—68no—
489C2×C3×C4—62no—
490C2×C3×C4—62no—
491C2×C3×C4C23×D312yes—
492#67—28no—
493#67—68no—
494#67—68no—
495#67—124no—
496C2×Dic3—22no—
497C2×Dic3—22no—
498C2×Dic3—28no—
499C2×Dic3—32no—
500C2×Dic3—38no—
501C2×Dic3—61no—
502C2×Dic3—68no—
503C2×Dic3—62no—
504C2×Dic3—121no—
505C2×Dic3D3×D412yes—
506D12—34no—
507D12—62no—
508D12—68no—
509D12—62no—
510D12—121no—
511C4×D3—28no—
512C4×D3—38no—
513C4×D3—34no—
514C4×D3—34no—
515C4×D3—38no—
516C4×D3—62no—
517C4×D3—62no—
518C4×D3—68no—
519C4×D3—68no—
520C4×D3—68no—
521C4×D3—68no—
522C4×D3—68no—
523C4×D3—68no—
524C4×D3—124no—
525C4×D3D3×D414yes—
526C4×D3C23×D314yes—
527Dic6—22no—
528Dic6—22no—
529Dic6—28no—
530Dic6—34no—
531Dic6—62no—
532Dic6—68no—
533Dic6—68no—
534Dic6—68no—
535Dic6—68no—
536Dic6—62no—
537Dic6—68no—
538Dic6—124no—
539Dic6—121no—
540Dic6C23×D314yes—
541Dic6C23×D314yes—
542C3×C8—22no—
543C3×C8—34no—
544C3×C8C23×D314yes—
545C3⋊C8—34no—
546C3⋊C8—62no—
547C3⋊C8C23×D314yes—
548C2×C32—42no—
549C2×C32C2×#13712yescomplemented
550C2×C32C23×D411yescharacteristic
551C3⋊D3—42no—
552C3⋊D3C2×#13714yescomplemented
553C3×D3—24no—
554C24—91no—
555C24—181no—
556#41—38no—
557#41—64no—
558#41—98no—
559#41—184no—
560#41—1816no—
561C2×Q8—38no—
562C2×Q8—32no—
563C2×Q8—32no—
564C2×Q8—62no—
565C2×Q8—64no—
566C2×Q8—98no—
567C2×Q8—94no—
568C2×Q8—94no—
569C2×Q8—94no—
570C2×Q8—91no—
571C2×Q8—181no—
572C2×Q8—182no—
573C2×Q8—184no—
574C2×Q8—181no—
575C2×Q8—181no—
576C2×Q8—1816no—
577C2×Q8—182no—
578C2×Q8—188no—
579C2×Q8—182no—
580C2×Q8—182no—
581C2×Q8C2×D3211yescharacteristic
582C2×D4—62no—
583C2×D4—94no—
584C2×D4—91no—
585C2×D4—182no—
586C2×D4—182no—
587C2×D4—181no—
588C2×D4—188no—
589C2×D4C2×D3211yescharacteristic
590C22×C4—32no—
591C22×C4—62no—
592C22×C4—62no—
593C22×C4—94no—
594C22×C4—91no—
595C22×C4—94no—
596C22×C4—92no—
597C22×C4—91no—
598C22×C4—181no—
599C22×C4—182no—
600C22×C4—188no—
601C22×C4—181no—
602C22×C4—188no—
603C22×C4—181no—
604C22×C4—182no—
605Q16—38no—
606Q16—38no—
607Q16—98no—
608Q16—98no—
609SD16—38no—
610SD16—98no—
611SD16—94no—
612SD16—94no—
613SD16—94no—
614SD16C2×D3214yescomplemented
615M16—38no—
616M16—98no—
617C2×C8—32no—
618C2×C8—94no—
619C2×C8—91no—
620C2×C8—94no—
621C2×C8C2×D3211yescharacteristic
622C22×C3—24no—
623C22×C3—21no—
624C22×C3—34no—
625C22×C3—42no—
626C22×C3—44no—
627C22×C3—64no—
628C22×C3—82no—
629C22×C3C2×D3×D412yes—
630C2×D3—24no—
631C2×D3—34no—
632C2×D3—38no—
633C2×D3—62no—
634C2×D3—64no—
635C2×D3—616no—
636C2×D3—64no—
637C2×D3—122no—
638C2×D3—1216no—
639C2×D3—124no—
640C2×D3—248no—
641C2×D3—242no—
642C2×D3C2×D3×D414yes—
643C3×C4—24no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—34no—
647C3×C4—42no—
648C3×C4—64no—
649C3×C4—64no—
650C3×C4C2×D3×D412yes—
651C3×C4C24×D312yes—
652Dic3—24no—
653Dic3—24no—
654Dic3—34no—
655Dic3—62no—
656Dic3—64no—
657Dic3—122no—
658Dic3C2×D3×D414yes—
659C32C22×#13711yescharacteristic, complemented, Sylow
660C23—21no—
661C23—32no—
662C23—94no—
663C23—91no—
664C23—184no—
665C23—184no—
666C23—181no—
667C23—364no—
668Q8—21no—
669Q8—34no—
670Q8—34no—
671Q8—68no—
672Q8—62no—
673Q8—62no—
674Q8—92no—
675Q8—184no—
676Q8—188no—
677Q8—184no—
678Q8—184no—
679Q8—181no—
680Q8C22×D3212yes—
681D4—21no—
682D4—68no—
683D4—92no—
684D4—188no—
685D4—184no—
686D4—181no—
687D4C22×D3212yes—
688C2×C4—21no—
689C2×C4—32no—
690C2×C4—34no—
691C2×C4—34no—
692C2×C4—68no—
693C2×C4—68no—
694C2×C4—62no—
695C2×C4—62no—
696C2×C4—94no—
697C2×C4—98no—
698C2×C4—91no—
699C2×C4—92no—
700C2×C4—92no—
701C2×C4—184no—
702C2×C4—188no—
703C2×C4—184no—
704C2×C4—184no—
705C2×C4—188no—
706C2×C4—181no—
707C2×C4C22×D3211yescharacteristic
708C8—34no—
709C8—92no—
710C8C22×D3212yes—
711C2×C3—21no—
712C2×C3—22no—
713C2×C3—44no—
714C2×C3—64no—
715C2×C3—82no—
716C2×C3D3×#13714yescomplemented
717C2×C3C22×D3×D412yes—
718D3—24no—
719D3—38no—
720D3—64no—
721D3—124no—
722D3—242no—
723C22—22no—
724C22—34no—
725C22—42no—
726C22—64no—
727C22—92no—
728C22—94no—
729C22—188no—
730C22—182no—
731C22—368no—
732C22—362no—
733C22D32×D411yescharacteristic
734C4—22no—
735C4—34no—
736C4—64no—
737C4—64no—
738C4—92no—
739C4—182no—
740C4D32×D411yescharacteristic
741C4C23×D3211yescharacteristic
742C3—21no—
743C3C2×D3×#13712yescomplemented
744C2—42no—
745C2—64no—
746C2—94no—
747C2—362no—
748C2#1059474212yesdirect product factor
749C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radicalC2×#64312C2
hypercenterC2×SD16D32
hypocenterC32C22×#137
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. C2×D32×Q8C2semidirect
3. C2×SD16×C3⋊D3C2semidirect
4. C2×C3×#915C2semidirect
5. C2×#63948C2semidirect
6. C2×#63944C2semidirect
7. C2×#63930C2semidirect
8. C2×#63929C2semidirect
9. #10594742C2direct (N × H)
10. C2×#63802C2semidirect
11. C2×#63801C2semidirect
12. C2×#63791C2semidirect
16. C2×C3×D3×Q8C22semidirect
22. D32×Q8C22semidirect
32. C2×D3×Dic6C22semidirect
33. C2×C32×SD16C22semidirect
34. C2×#3755C22semidirect
35. C2×#3754C22semidirect
36. SD16×C3⋊D3C22semidirect
37. C2×#3744C22semidirect
39. C2×C3×#216C22semidirect
40. C2×C3×#214C22semidirect
41. C3×#915C22semidirect
42. C2×C3×Dic12C22semidirect
43. C2×C3×ΓL(1,𝔽25)C22semidirect
44. #63948C22semidirect
45. #63944C22semidirect
46. #63930C22semidirect
47. #63929C22semidirect
48. C2×#3719C22semidirect
49. C2×#3718C22semidirect
50. C2×#3717C22semidirect
51. C2×#3711C22semidirect
53. #63802C22semidirect
54. #63801C22semidirect
55. #63791C22semidirect
67. C2×#915D3semidirect
90. C3×D3×Q8C23semidirect
123. D3×Dic6C23semidirect
124. C32×SD16C23semidirect
126. #3755C23semidirect
127. #3754C23semidirect
129. #3744C23semidirect
131. C3×#216C23semidirect
132. C3×#214C23semidirect
134. C3×Dic12C23semidirect
135. C3×ΓL(1,𝔽25)C23semidirect
136. #3719C23semidirect
137. #3718C23semidirect
138. #3717C23semidirect
139. #3711C23semidirect
156. C2×D3×Q8C2×D3semidirect
174. C2×C3×SD16C2×D3semidirect
180. C2×#216C2×D3semidirect
187. C2×#214C2×D3semidirect
194. #915C2×D3semidirect
201. C2×Dic12C2×D3semidirect
206. C2×ΓL(1,𝔽25)C2×D3semidirect
313. D3×Q8C22×D3semidirect
363. C3×SD16C22×D3semidirect
371. #216C22×D3semidirect
377. #214C22×D3semidirect
383. Dic12C22×D3semidirect
388. ΓL(1,𝔽25)C22×D3semidirect
398. C2×C3⋊D3#137semidirect
447. C2×SD16D32semidirect
549. C2×C32C2×#137semidirect
552. C3⋊D3C2×#137semidirect
614. SD16C2×D32semidirect
659. C32C22×#137semidirect
716. C2×C3D3×#137semidirect
743. C3C2×D3×#137semidirect
748. C2#10594742direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D32×Q82
C2×#643122
C2×SD16×C3⋊D32
C2×C3×#9152
C2×#639482
C2×#639442
C2×#639302
C2×#639292
#105947422
C2×#638022
C2×#638012
C2×#637912
C2×D3×#1373