Finite Group Databasebeta

← C2×#10595225 #11902432

Subgroups — C2×#10595225 #11902432

Order 1152.

4013 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#625C211yesmaximal, characteristic, complemented
2C22×#3805C211yesmaximal, characteristic, complemented
3C2×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C2×C3×#937C212yesmaximal, complemented
5C2×#63982C211yesmaximal, characteristic, complemented
6C2×#63980C211yesmaximal, characteristic, complemented
7C2×#63970C212yesmaximal, complemented
8C2×D3×#217C212yesmaximal, complemented
9#10595225C2116yesmaximal, direct product factor
10C2×#63915C211yesmaximal, characteristic, complemented
11C2×#63902C211yesmaximal, characteristic, complemented
12C2×#63891C212yesmaximal, complemented
13C2×#5591—32nomaximal
14C24×C3×D3C2212yes—
15C22×C32×D4C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C23×C3⋊Dic3C2211yescharacteristic, complemented
18C22×C3×#67C2212yescomplemented
19C22×C3×#67C2212yescomplemented
20C22×#627C2211yescharacteristic, complemented
21C22×#625—28no—
22C22×#625C2212yes—
23C22×#625C2211yescharacteristic
24C22×#625C2211yescharacteristic
25C22×#625C2218yescomplemented
26C2×#3805—28no—
27C2×#3805C2218yescomplemented
28C22×D3×Dic3C2212yescomplemented
29C22×D3×Dic3C2212yescomplemented
30C2×#3757C2211yescharacteristic
31C2×#3757C2211yescharacteristic, complemented
32D4×C3⋊Dic3C2218yescomplemented
33C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
34C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
35C2×C3×#217C2212yes—
36C3×#937C22116yescomplemented
37C2×C3×(C2×D3)⋊C4C2212yescomplemented
38C2×C3×(C2×D3)⋊C4C2212yescomplemented
39#63982C2218yescomplemented
40#63980C2218yescomplemented
41#63970C22116yescomplemented
42D3×#217C22116yescomplemented
43C2×#3724C2211yescharacteristic, complemented
44C2×Dic3⋊Dic3C2212yescomplemented
45C2×(C2×D3)⋊Dic3C2212yescomplemented
46C2×(C2×D3)⋊Dic3C2212yescomplemented
47#63915C2218yescomplemented
48#63902C2218yescomplemented
49#63891C22116yescomplemented
50C23×#67—32no—
51C22×#237—32no—
52C2×C3×#120—32no—
53C22×#217—32no—
54C2×#939—32no—
55C2×#939—32no—
56C2×#938—32no—
57C2×#937D312yescomplemented
58C2×D4×Dic3—32no—
59C2×D4×Dic3—61no—
60#5591—332no—
61C2×#886—32no—
62C2×#885—32no—
63C2×#883—32no—
64C2×#67⋊C4—32no—
65C2×D3×C22⋊C4—32no—
66C2×#878—32no—
67C24×C32C2311yescharacteristic
68C24×C32C2311yescharacteristic
69C23×C3×D3—28no—
70C23×C3×D3—28no—
71C23×C3×D3—44no—
72C23×C3×D3C2312yes—
73C23×C3×D3C2318yes—
74C23×C3×D3C2312yes—
75C2×C32×D4—24no—
76C2×C32×D4C2314yes—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3—24no—
79C22×C3⋊Dic3—24no—
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2311yescharacteristic
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2314yes—
84C22×C3⋊Dic3C2311yescharacteristic
85C22×C3⋊Dic3C2314yescomplemented
86C2×C3×#67—28no—
87C2×C3×#67—44no—
88C2×C3×#67C2318yescomplemented
89C2×C3×#67C2318yescomplemented
90C22×C3×Dic3C2312yes—
91C22×C3×Dic3C2312yes—
92C2×#627—24no—
93C2×#627C2314yescomplemented
94C2×#625—28no—
95C2×#625—24no—
96C2×#625—232no—
97C2×#625D418yescomplemented
98C2×#625C2318yes—
99C2×#625C2314yes—
100C2×#625C2314yes—
101#3805—232no—
102C2×D3×Dic3—28no—
103C2×D3×Dic3—44no—
104C2×D3×Dic3C2318yescomplemented
105C2×D3×Dic3C2318yescomplemented
106#3757C2314yes—
107#3757C2314yescomplemented
108C4⋊(C3⋊Dic3)C2314yescomplemented
109C4×C3⋊Dic3C2314yescomplemented
110C3×#217C2318yes—
111C3×(C2×D3)⋊C4C2318yescomplemented
112C3×(C2×D3)⋊C4C2318yescomplemented
113#3724C2314yescomplemented
114Dic3⋊Dic3C2318yescomplemented
115(C2×D3)⋊Dic3C2318yescomplemented
116(C2×D3)⋊Dic3C2318yescomplemented
117C2×#546—91noSylow
118C25×C3—32no—
119C24×D3C2×D312yes—
120C22×C3×D4—21no—
121C22×C3×D4—32no—
122C22×C3×D4—32no—
123C22×C3×D4C2×D312yes—
124C22×#67—32no—
125C22×#67—32no—
126C22×#67—32no—
127C22×#67—32no—
128C22×#67—316no—
129C22×#67—616no—
130C22×#67C2×D312yescomplemented
131C22×#67C2×D312yescomplemented
132C23×Dic3—32no—
133C23×Dic3—32no—
134C23×Dic3—32no—
135C23×Dic3—32no—
136C23×Dic3—61no—
137C23×Dic3—61no—
138C2×#237—316no—
139C2×#237—616no—
140C22×C4×D3—32no—
141C22×C4×D3—32no—
142C22×Dic6—32no—
143C3×#120—316no—
144C2×C3×C22⋊C4—32no—
145C2×C3×C22⋊C4—32no—
146C2×C3×C22⋊C4—32no—
147C2×#217—32no—
148C2×#217—32no—
149C2×#217—32no—
150C2×#217—32no—
151C2×#217—316no—
152C2×#217—61no—
153C2×#217—61no—
154C2×#217C2×D312yes—
155#939—316no—
156#939—316no—
157#938—316no—
158#937C2×D3116yescomplemented
159D4×Dic3—316no—
160D4×Dic3—68no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—32no—
163C2×(C2×D3)⋊C4C2×D312yescomplemented
164C2×(C2×D3)⋊C4C2×D312yescomplemented
165C2×C4⋊Dic3—32no—
166C2×C4⋊Dic3—32no—
167C2×C4⋊Dic3—61no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×C4×Dic3—32no—
171C2×C4×Dic3—61no—
172#886—316no—
173#885—316no—
174#883—316no—
175#67⋊C4—316no—
176D3×C22⋊C4—316no—
177#878—316no—
178C23×C32—22no—
179C23×C32—22no—
180C23×C32—22no—
181C23×C32—22no—
182C23×C32—22no—
183C23×C32#4114yescomplemented
184C23×C32C2412yes—
185C23×C32C2412yes—
186C23×C32C2411yescharacteristic
187C22×C3×D3—24no—
188C22×C3×D3—24no—
189C22×C3×D3—24no—
190C22×C3×D3—24no—
191C22×C3×D3—216no—
192C22×C3×D3—24no—
193C22×C3×D3—216no—
194C22×C3×D3—48no—
195C22×C3×D3—432no—
196C22×C3×D3C2×D418yes—
197C22×C3×D3C2414yes—
198C22×C3×D3C2414yes—
199C32×D4—28no—
200C2×C32×C4—22no—
201C2×C32×C4C2412yes—
202C2×C3⋊Dic3—22no—
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3—22no—
205C2×C3⋊Dic3—28no—
206C2×C3⋊Dic3—28no—
207C2×C3⋊Dic3C2×D414yes—
208C2×C3⋊Dic3C2412yes—
209C2×C3⋊Dic3C2412yes—
210C2×C3⋊Dic3C2412yes—
211C2×C3⋊Dic3C2412yes—
212C3×#67—216no—
213C3×#67—48no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—24no—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2414yes—
218#627—28no—
219#625—216no—
220#625—28no—
221#625C2×D4116yescomplemented
222D3×Dic3—216no—
223D3×Dic3—48no—
224C22×#41—91no—
225C23×D4—91no—
226#546—916no—
227C2×#124—91no—
228C2×#123—92no—
229C2×C22⋊Q8—91no—
230C2×#121—92no—
231C2×#121—91no—
232C2×#120—32no—
233C2×C4×D4—91no—
234C2×C4×D4—91no—
235C22×C22⋊C4—92no—
236C24×C3—21no—
237C24×C3—21no—
238C24×C3—32no—
239C24×C3—32no—
240C24×C3—38no—
241C24×C3—68no—
242C24×C3—68no—
243C24×C3—124no—
244C24×C3C22×D312yes—
245C24×C3C22×D312yes—
246C23×D3—28no—
247C23×D3—28no—
248C23×D3—44no—
249C23×D3C22×D312yes—
250C23×D3C22×D318yes—
251C23×D3C22×D312yes—
252C2×C3×D4—28no—
253C2×C3×D4—28no—
254C2×C3×D4—24no—
255C2×C3×D4—38no—
256C2×C3×D4—38no—
257C2×C3×D4—68no—
258C2×C3×D4—124no—
259C2×C3×D4C22×D318yes—
260C22×C3×C4—21no—
261C22×C3×C4—32no—
262C22×C3×C4—32no—
263C22×C3×C4C22×D312yes—
264C2×#67—28no—
265C2×#67—316no—
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—38no—
269C2×#67—38no—
270C2×#67—44no—
271C2×#67—68no—
272C2×#67—664no—
273C2×#67—68no—
274C2×#67—68no—
275C2×#67C22×D318yescomplemented
276C2×#67C22×D318yescomplemented
277C22×Dic3—32no—
278C22×Dic3—38no—
279C22×Dic3—32no—
280C22×Dic3—32no—
281C22×Dic3—32no—
282C22×Dic3—38no—
283C22×Dic3—38no—
284C22×Dic3—38no—
285C22×Dic3—61no—
286C22×Dic3—61no—
287C22×Dic3—61no—
288C22×Dic3—61no—
289C22×Dic3—64no—
290C22×Dic3—64no—
291C22×Dic3—68no—
292C22×Dic3—68no—
293C22×Dic3—68no—
294C22×Dic3—124no—
295C22×Dic3—124no—
296C22×Dic3—124no—
297C22×Dic3C22×D312yes—
298C22×Dic3C22×D312yes—
299#237—664no—
300C2×C4×D3—38no—
301C2×C4×D3—38no—
302C2×C4×D3—68no—
303C2×C4×D3—124no—
304C2×Dic6—38no—
305C2×Dic6—68no—
306C3×C22⋊C4—38no—
307C3×C22⋊C4—38no—
308C3×C22⋊C4—38no—
309#217—38no—
310#217—38no—
311#217—38no—
312#217—38no—
313#217—64no—
314#217—64no—
315#217C22×D318yes—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4C22×D318yescomplemented
319(C2×D3)⋊C4C22×D318yescomplemented
320C4⋊Dic3—38no—
321C4⋊Dic3—38no—
322C4⋊Dic3—64no—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325C4×Dic3—38no—
326C4×Dic3—64no—
327C22×C32—22no—
328C22×C32—28no—
329C22×C32—22no—
330C22×C32—22no—
331C22×C32—22no—
332C22×C32—22no—
333C22×C32—44no—
334C22×C32C22×D412yes—
335C22×C32C2×#4112yes—
336C22×C32C2×#4114yescomplemented
337C22×C32H(5,𝔽2)12yes—
338C22×C32C2511yescharacteristic
339C2×C3×D3—216no—
340C2×C3×D3—24no—
341C2×C3×D3—24no—
342C2×C3×D3—24no—
343C2×C3×D3—24no—
344C2×C3×D3—24no—
345C2×C3×D3—432no—
346C2×C3×D3—48no—
347C2×C3×D3C22×D418yes—
348C32×C4—22no—
349C3⋊Dic3—22no—
350C3⋊Dic3—22no—
351C3⋊Dic3—22no—
352C3⋊Dic3C22×D414yes—
353C3×Dic3—24no—
354C3×Dic3—24no—
355C25—32no—
356C2×#41—98no—
357C2×#41—188no—
358C22×Q8—91no—
359C22×D4—32no—
360C22×D4—32no—
361C22×D4—91no—
362C22×D4—92no—
363C22×D4—91no—
364C22×D4—98no—
365C22×D4—188no—
366C22×D4D3211yescharacteristic
367C23×C4—92no—
368C23×C4—92no—
369C23×C4—91no—
370C23×C4—91no—
371#124—98no—
372#123—916no—
373C22⋊Q8—98no—
374#121—916no—
375#121—98no—
376#120—316no—
377C4×D4—98no—
378C4×D4—98no—
379C2×C4⋊C4—91no—
380C2×C4⋊C4—92no—
381C2×C4⋊C4—91no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—916no—
386C2×C22⋊C4—92no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C42—91no—
391C23×C3—24no—
392C23×C3—24no—
393C23×C3—24no—
394C23×C3—24no—
395C23×C3—24no—
396C23×C3—24no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—21no—
400C23×C3—24no—
401C23×C3—38no—
402C23×C3—34no—
403C23×C3—34no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3—42no—
407C23×C3—42no—
408C23×C3—616no—
409C23×C3—64no—
410C23×C3—64no—
411C23×C3—64no—
412C23×C3—64no—
413C23×C3—616no—
414C23×C3—64no—
415C23×C3—128no—
416C23×C3—1232no—
417C23×C3#23718yescomplemented
418C23×C3C23×D314yes—
419C23×C3C23×D314yes—
420C23×C3C23×D312yes—
421C22×D3—24no—
422C22×D3—24no—
423C22×D3—24no—
424C22×D3—24no—
425C22×D3—216no—
426C22×D3—24no—
427C22×D3—216no—
428C22×D3—48no—
429C22×D3—432no—
430C22×D3D3×D418yes—
431C22×D3C23×D314yes—
432C22×D3C23×D314yes—
433C3×D4—216no—
434C3×D4—216no—
435C3×D4—616no—
436C3×D4—128no—
437C2×C3×C4—24no—
438C2×C3×C4—24no—
439C2×C3×C4—22no—
440C2×C3×C4—34no—
441C2×C3×C4—34no—
442C2×C3×C4—64no—
443C2×C3×C4—64no—
444C2×C3×C4C23×D314yes—
445#67—216no—
446#67—332no—
447#67—48no—
448#67—616no—
449#67—616no—
450#67—616no—
451C2×Dic3—24no—
452C2×Dic3—24no—
453C2×Dic3—38no—
454C2×Dic3—34no—
455C2×Dic3—34no—
456C2×Dic3—34no—
457C2×Dic3—34no—
458C2×Dic3—64no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—616no—
464C2×Dic3—616no—
465C2×Dic3—616no—
466C2×Dic3—64no—
467C2×Dic3—64no—
468C2×Dic3—64no—
469C2×Dic3—128no—
470C2×Dic3—128no—
471C2×Dic3—122no—
472C2×Dic3—122no—
473C2×Dic3—122no—
474C2×Dic3—128no—
475C2×Dic3C23×D314yes—
476C2×Dic3C23×D314yes—
477C4×D3—616no—
478C4×D3—128no—
479Dic6—616no—
480C2×C32—24no—
481C2×C32—42no—
482C2×C32#54614yescomplemented
483C2×C32C23×D411yescharacteristic
484C2×C32C22×#4111yescharacteristic
485C2×C32C2×H(5,𝔽2)11yescharacteristic
486C3×D3—28no—
487C3×D3—44no—
488C24—32no—
489C24—32no—
490C24—38no—
491C24—68no—
492C24—68no—
493C24—124no—
494C24C2×D3211yescharacteristic
495C24C2×D3211yescharacteristic
496#41—1832no—
497C2×Q8—94no—
498C2×Q8—184no—
499C2×D4—24no—
500C2×D4—38no—
501C2×D4—38no—
502C2×D4—68no—
503C2×D4—94no—
504C2×D4—98no—
505C2×D4—98no—
506C2×D4—94no—
507C2×D4—124no—
508C2×D4—184no—
509C2×D4—1832no—
510C2×D4—188no—
511C2×D4C2×D3214yes—
512C22×C4—32no—
513C22×C4—32no—
514C22×C4—98no—
515C22×C4—98no—
516C22×C4—91no—
517C22×C4—94no—
518C22×C4—94no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4—91no—
522C22×C4—188no—
523C22×C4—184no—
524C22×C4—184no—
525C22×C4—364no—
526C22×C4C2×D3211yescharacteristic
527C4⋊C4—94no—
528C4⋊C4—98no—
529C4⋊C4—94no—
530C22⋊C4—38no—
531C22⋊C4—38no—
532C22⋊C4—38no—
533C22⋊C4—98no—
534C22⋊C4—98no—
535C22⋊C4—94no—
536C22⋊C4—94no—
537C42—94no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—216no—
541C22×C3—24no—
542C22×C3—24no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—24no—
549C22×C3—21no—
550C22×C3—38no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—48no—
555C22×C3—42no—
556C22×C3—48no—
557C22×C3—48no—
558C22×C3—64no—
559C22×C3—64no—
560C22×C3—616no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—64no—
564C22×C3—1232no—
565C22×C3—128no—
566C22×C3C2×D3×D414yes—
567C22×C3C2×#23714yes—
568C22×C3C2×#23718yescomplemented
569C22×C3#100414yes—
570C22×C3C24×D312yes—
571C2×D3—24no—
572C2×D3—24no—
573C2×D3—216no—
574C2×D3—24no—
575C2×D3—24no—
576C2×D3—24no—
577C2×D3—432no—
578C2×D3—48no—
579C2×D3C2×D3×D418yes—
580C3×C4—24no—
581C3×C4—24no—
582C3×C4—64no—
583C3×C4—64no—
584Dic3—24no—
585Dic3—24no—
586Dic3—38no—
587Dic3—64no—
588Dic3—64no—
589Dic3—64no—
590Dic3—64no—
591Dic3—122no—
592Dic3—122no—
593Dic3—122no—
594C32C2×#54611yescharacteristic, complemented, Sylow
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—38no—
601C23—34no—
602C23—34no—
603C23—616no—
604C23—64no—
605C23—64no—
606C23—64no—
607C23—64no—
608C23—64no—
609C23—616no—
610C23—128no—
611C23—1232no—
612C23#380514yescomplemented
613C23C22×D3212yes—
614C23C22×D3212yes—
615C23C22×D3211yescharacteristic
616Q8—188no—
617D4—28no—
618D4—616no—
619D4—916no—
620D4—128no—
621D4—188no—
622D4—1816no—
623C2×C4—22no—
624C2×C4—34no—
625C2×C4—34no—
626C2×C4—64no—
627C2×C4—64no—
628C2×C4—94no—
629C2×C4—92no—
630C2×C4—92no—
631C2×C4—92no—
632C2×C4—92no—
633C2×C4—1816no—
634C2×C4—188no—
635C2×C4—188no—
636C2×C4—182no—
637C2×C4—182no—
638C2×C4—182no—
639C2×C4—368no—
640C2×C4C22×D3212yes—
641C2×C3—28no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—24no—
646C2×C3—44no—
647C2×C3—44no—
648C2×C3—44no—
649C2×C3—68no—
650C2×C3—124no—
651C2×C3#559118yescomplemented
652C2×C3C22×D3×D412yes—
653C2×C3C22×#23712yes—
654C2×C3C2×#100412yes—
655D3—28no—
656D3—44no—
657C22—22no—
658C22—22no—
659C22—28no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—38no—
664C22—44no—
665C22—64no—
666C22—64no—
667C22—616no—
668C22—64no—
669C22—64no—
670C22—64no—
671C22—1232no—
672C22—128no—
673C22D32×D412yes—
674C22#6431312yes—
675C22C2×#380512yes—
676C22C2×#380514yescomplemented
677C22C23×D3211yescharacteristic
678C4—22no—
679C4—64no—
680C4—64no—
681C4—94no—
682C4—182no—
683C4—182no—
684C4—182no—
685C3—21no—
686C3C2×#559112yescomplemented
687C2—24no—
688C2—42no—
689C2—68no—
690C2—124no—
691C2#1059522514yesdirect product factor
692C2C2×D32×D411yescharacteristic
693C2C2×#6431311yescharacteristic
694C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C23×#625C2semidirect
2. C22×#3805C2semidirect
3. C2×D4×C3⋊Dic3C2semidirect
4. C2×C3×#937C2semidirect
5. C2×#63982C2semidirect
6. C2×#63980C2semidirect
7. C2×#63970C2semidirect
8. C2×D3×#217C2semidirect
9. #10595225C2direct (N × H)
10. C2×#63915C2semidirect
11. C2×#63902C2semidirect
12. C2×#63891C2semidirect
17. C23×C3⋊Dic3C22semidirect
18. C22×C3×#67C22semidirect
19. C22×C3×#67C22semidirect
20. C22×#627C22semidirect
25. C22×#625C22semidirect
27. C2×#3805C22semidirect
28. C22×D3×Dic3C22semidirect
29. C22×D3×Dic3C22semidirect
31. C2×#3757C22semidirect
32. D4×C3⋊Dic3C22semidirect
33. C2×C4⋊(C3⋊Dic3)C22semidirect
34. C2×C4×C3⋊Dic3C22semidirect
36. C3×#937C22semidirect
37. C2×C3×(C2×D3)⋊C4C22semidirect
38. C2×C3×(C2×D3)⋊C4C22semidirect
39. #63982C22semidirect
40. #63980C22semidirect
41. #63970C22semidirect
42. D3×#217C22semidirect
43. C2×#3724C22semidirect
44. C2×Dic3⋊Dic3C22semidirect
45. C2×(C2×D3)⋊Dic3C22semidirect
46. C2×(C2×D3)⋊Dic3C22semidirect
47. #63915C22semidirect
48. #63902C22semidirect
49. #63891C22semidirect
57. C2×#937D3semidirect
85. C22×C3⋊Dic3C23semidirect
88. C2×C3×#67C23semidirect
89. C2×C3×#67C23semidirect
93. C2×#627C23semidirect
97. C2×#625D4semidirect
104. C2×D3×Dic3C23semidirect
105. C2×D3×Dic3C23semidirect
107. #3757C23semidirect
108. C4⋊(C3⋊Dic3)C23semidirect
109. C4×C3⋊Dic3C23semidirect
111. C3×(C2×D3)⋊C4C23semidirect
112. C3×(C2×D3)⋊C4C23semidirect
113. #3724C23semidirect
114. Dic3⋊Dic3C23semidirect
115. (C2×D3)⋊Dic3C23semidirect
116. (C2×D3)⋊Dic3C23semidirect
130. C22×#67C2×D3semidirect
131. C22×#67C2×D3semidirect
158. #937C2×D3semidirect
163. C2×(C2×D3)⋊C4C2×D3semidirect
164. C2×(C2×D3)⋊C4C2×D3semidirect
183. C23×C32#41semidirect
221. #625C2×D4semidirect
275. C2×#67C22×D3semidirect
276. C2×#67C22×D3semidirect
318. (C2×D3)⋊C4C22×D3semidirect
319. (C2×D3)⋊C4C22×D3semidirect
336. C22×C32C2×#41semidirect
417. C23×C3#237semidirect
482. C2×C32#546semidirect
568. C22×C3C2×#237semidirect
594. C32C2×#546semidirect
612. C23#3805semidirect
651. C2×C3#5591semidirect
676. C22C2×#3805semidirect
686. C3C2×#5591semidirect
691. C2#10595225direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#6252
C22×#38052
C2×D4×C3⋊Dic32
C2×C3×#9372
C2×#639822
C2×#639802
C2×#639702
C2×D3×#2172
#105952252
C2×#639152
C2×#639022
C2×#638912
C2×#55913