Finite Group Databasebeta

← C2×#10594183 #11902434

Subgroups — C2×#10594183 #11902434

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×#3798C211yesmaximal, characteristic, complemented
3C2×#64090C211yesmaximal, characteristic, complemented
4C2×C3×D3×C22⋊C4C212yesmaximal, complemented
5C2×#63982C211yesmaximal, characteristic, complemented
6C2×#63977C212yesmaximal, complemented
7C2×#63915C211yesmaximal, characteristic, complemented
8C2×#63912C211yesmaximal, characteristic, complemented
9C2×#63906C212yesmaximal, complemented
10C2×#63905C212yesmaximal, complemented
11C2×C4×#625C211yesmaximal, characteristic, complemented
12#10594183C2116yesmaximal, direct product factor
13C2×#5490—32nomaximal
14C24×C3×D3C2212yes—
15C22×#638C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic, complemented
18C22×C3×C4×D3C2212yescomplemented
19C22×C3×C4×D3C2212yescomplemented
20C22×#627C2211yescharacteristic, complemented
21C22×#626C2212yescomplemented
22C22×#626C2212yescomplemented
23C22×#625—28no—
24C22×#625C2212yes—
25C22×#625C2211yescharacteristic
26C22×#625C2211yescharacteristic
27C22×#625C2218yescomplemented
28C2×#3798—28no—
29C2×#3798C2218yescomplemented
30C2×C32×C22⋊C4C2211yescharacteristic
31C2×#3752C2211yescharacteristic, complemented
32C2×#3750C2211yescharacteristic, complemented
33C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
34#64090C2218yescomplemented
35C2×C3×#217C2212yes—
36C2×C3×(C2×D3)⋊C4C2212yescomplemented
37C2×C3×(C2×D3)⋊C4C2212yescomplemented
38C3×D3×C22⋊C4C22116yescomplemented
39#63982C2218yescomplemented
40#63977C22116yescomplemented
41C2×#3724C2211yescharacteristic, complemented
42C2×Dic3⋊Dic3C2212yescomplemented
43C2×(C2×D3)⋊Dic3C2212yescomplemented
44C2×(C2×D3)⋊Dic3C2212yescomplemented
45#63915C2218yescomplemented
46#63912C2218yescomplemented
47#63906C22116yescomplemented
48#63905C22116yescomplemented
49C4×#625C2218yescomplemented
50C23×#67—32no—
51C22×#235—32no—
52C22×C3×C22⋊C4—32no—
53C2×#953—32no—
54C2×#930—32no—
55C2×#929—32no—
56C2×C4×#67—32no—
57C2×#885—32no—
58#5490—332no—
59C2×#884—32no—
60C2×#884—32no—
61C2×#883—32no—
62C2×#882—32no—
63C2×#67⋊C4—32no—
64C2×#67⋊C4—61no—
65C2×D3×C22⋊C4D312yescomplemented
66C2×#878—32no—
67C24×C32C2311yescharacteristic
68C23×C3⋊D3C2311yescharacteristic
69C23×C3×D3—28no—
70C23×C3×D3—28no—
71C23×C3×D3—44no—
72C23×C3×D3C2312yes—
73C23×C3×D3C2318yes—
74C23×C3×D3C2312yes—
75C22×C32×C4C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C2×#638—24no—
78C2×#638C2314yes—
79C22×C3⋊Dic3—24no—
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2314yes—
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2311yescharacteristic
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yescomplemented
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2312yes—
88C2×C3×C4×D3—28no—
89C2×C3×C4×D3—44no—
90C2×C3×C4×D3C2318yescomplemented
91C2×C3×C4×D3C2318yescomplemented
92C2×#627—24no—
93C2×#627C2314yescomplemented
94C2×#626—28no—
95C2×#626—44no—
96C2×#626C2318yescomplemented
97C2×#626C2318yescomplemented
98C2×#625—28no—
99C2×#625—24no—
100C2×#625—232no—
101C2×#625D418yescomplemented
102C2×#625C2318yes—
103C2×#625C2314yes—
104C2×#625C2314yes—
105#3798—232no—
106C32×C22⋊C4C2314yes—
107#3752C2314yescomplemented
108#3750C2314yescomplemented
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—
120C23×C3×C4—32no—
121C23×C3×C4—32no—
122C22×#67—32no—
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—32no—
126C22×#67—32no—
127C22×#67—316no—
128C22×#67—32no—
129C22×#67—32no—
130C22×#67—61no—
131C22×#67—616no—
132C23×Dic3—32no—
133C23×Dic3—61no—
134C2×#235—316no—
135C2×#235—616no—
136C22×D12—32no—
137C22×D12—32no—
138C22×C4×D3—32no—
139C22×C4×D3—61no—
140C22×C4×D3C2×D312yescomplemented
141C22×C4×D3C2×D312yescomplemented
142C22×Dic6—32no—
143C2×C3×C22⋊C4—21no—
144C2×C3×C22⋊C4—32no—
145C2×C3×C22⋊C4—32no—
146C2×C3×C22⋊C4—32no—
147C2×C3×C22⋊C4—316no—
148C2×C3×C22⋊C4C2×D312yes—
149#953—316no—
150C2×#217—32no—
151C2×#217—32no—
152C2×#217C2×D312yes—
153#930—316no—
154#929—316no—
155C4×#67—316no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—61no—
160C2×(C2×D3)⋊C4C2×D312yescomplemented
161C2×(C2×D3)⋊C4C2×D312yescomplemented
162C2×C4⋊Dic3—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—61no—
167C2×C4×Dic3—32no—
168C2×C4×Dic3—61no—
169#885—316no—
170#884—316no—
171#884—316no—
172#883—316no—
173#882—316no—
174#67⋊C4—316no—
175#67⋊C4—68no—
176D3×C22⋊C4C2×D3116yescomplemented
177#878—316no—
178C23×C32—22no—
179C23×C32—22no—
180C23×C32#4114yescomplemented
181C23×C32C2412yes—
182C23×C32C2411yescharacteristic
183C22×C3⋊D3—22no—
184C22×C3⋊D3—22no—
185C22×C3⋊D3—22no—
186C22×C3⋊D3C2412yes—
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—
199C2×C32×C4—22no—
200C2×C32×C4—22no—
201C2×C32×C4C2412yes—
202C2×C32×C4C2412yes—
203#638—28no—
204C2×C3⋊Dic3—22no—
205C2×C3⋊Dic3—22no—
206C2×C3⋊Dic3—28no—
207C2×C3⋊Dic3C2×D414yes—
208C2×C3⋊Dic3C2412yes—
209C2×C3⋊Dic3C2412yes—
210C2×C3⋊Dic3C2412yes—
211C4×C3⋊D3—28no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2414yes—
216C3×C4×D3—216no—
217C3×C4×D3—48no—
218#627—28no—
219#626—216no—
220#626—48no—
221#625—216no—
222#625—28no—
223#625C2×D4116yescomplemented
224C22×#41—91no—
225C23×D4—91no—
226#546—916no—
227C2×#124—91no—
228C2×#123—92no—
229C2×C22⋊Q8—91no—
230C2×#121—91no—
231C2×#121—92no—
232C2×#120—92no—
233C2×C4×D4—91no—
234C2×C4×D4—91no—
235C22×C22⋊C4—32no—
236C24×C3—21no—
237C24×C3—32no—
238C24×C3—32no—
239C24×C3—38no—
240C24×C3—68no—
241C24×C3—68no—
242C24×C3—124no—
243C24×C3C22×D312yes—
244C23×D3—28no—
245C23×D3—28no—
246C23×D3—32no—
247C23×D3—44no—
248C23×D3—61no—
249C23×D3C22×D312yes—
250C23×D3C22×D318yes—
251C23×D3C22×D312yes—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—32no—
255C22×C3×C4—32no—
256C22×C3×C4—38no—
257C22×C3×C4—38no—
258C22×C3×C4—68no—
259C22×C3×C4—124no—
260C22×C3×C4C22×D312yes—
261C22×C3×C4C22×D312yes—
262C2×#67—316no—
263C2×#67—38no—
264C2×#67—38no—
265C2×#67—38no—
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—38no—
269C2×#67—38no—
270C2×#67—64no—
271C2×#67—68no—
272C2×#67—68no—
273C2×#67—664no—
274C2×#67—68no—
275C2×#67—68no—
276C2×#67—68no—
277C2×#67—68no—
278C2×#67—124no—
279C22×Dic3—32no—
280C22×Dic3—38no—
281C22×Dic3—32no—
282C22×Dic3—32no—
283C22×Dic3—61no—
284C22×Dic3—61no—
285C22×Dic3—64no—
286C22×Dic3—61no—
287C22×Dic3—68no—
288C22×Dic3—124no—
289C22×Dic3C22×D312yes—
290C22×Dic3C22×D312yes—
291#235—664no—
292C2×D12—38no—
293C2×D12—38no—
294C2×D12—68no—
295C2×D12—124no—
296C2×C4×D3—28no—
297C2×C4×D3—38no—
298C2×C4×D3—44no—
299C2×C4×D3—64no—
300C2×C4×D3—68no—
301C2×C4×D3—124no—
302C2×C4×D3C22×D318yescomplemented
303C2×C4×D3C22×D318yescomplemented
304C2×Dic6—38no—
305C2×Dic6—68no—
306C3×C22⋊C4—24no—
307C3×C22⋊C4—38no—
308C3×C22⋊C4—38no—
309C3×C22⋊C4—38no—
310C3×C22⋊C4C22×D318yes—
311#217—38no—
312#217—38no—
313#217C22×D318yes—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—64no—
318(C2×D3)⋊C4C22×D318yescomplemented
319(C2×D3)⋊C4C22×D318yescomplemented
320C4⋊Dic3—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—64no—
325C4×Dic3—38no—
326C4×Dic3—64no—
327C22×C32—28no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32C22×D412yes—
331C22×C32C2×#4112yes—
332C22×C32C2×#4114yescomplemented
333C22×C32H(5,𝔽2)12yes—
334C22×C32C2511yescharacteristic
335C2×C3⋊D3—22no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—44no—
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—
349C32×C4—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—92no—
360C22×D4—92no—
361C22×D4—91no—
362C22×D4—92no—
363C22×D4—91no—
364C22×D4—98no—
365C22×D4—91no—
366C22×D4—188no—
367C23×C4—32no—
368C23×C4—32no—
369C23×C4—91no—
370C23×C4—91no—
371#124—98no—
372#123—916no—
373C22⋊Q8—98no—
374#121—98no—
375#121—916no—
376#120—916no—
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—316no—
386C2×C22⋊C4—92no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4D3211yescharacteristic
390C2×C42—91no—
391C23×C3—24no—
392C23×C3—24no—
393C23×C3—22no—
394C23×C3—21no—
395C23×C3—24no—
396C23×C3—38no—
397C23×C3—34no—
398C23×C3—34no—
399C23×C3—42no—
400C23×C3—42no—
401C23×C3—616no—
402C23×C3—64no—
403C23×C3—64no—
404C23×C3—64no—
405C23×C3—616no—
406C23×C3—64no—
407C23×C3—64no—
408C23×C3—128no—
409C23×C3—1232no—
410C23×C3#23518yescomplemented
411C23×C3C23×D314yes—
412C23×C3C23×D312yes—
413C22×D3—24no—
414C22×D3—24no—
415C22×D3—24no—
416C22×D3—216no—
417C22×D3—24no—
418C22×D3—24no—
419C22×D3—216no—
420C22×D3—34no—
421C22×D3—48no—
422C22×D3—432no—
423C22×D3—62no—
424C22×D3—64no—
425C22×D3—64no—
426C22×D3—64no—
427C22×D3—64no—
428C22×D3—122no—
429C22×D3—122no—
430C22×D3D3×D418yes—
431C22×D3C23×D314yes—
432C22×D3C23×D314yes—
433C2×C3×C4—24no—
434C2×C3×C4—24no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—34no—
438C2×C3×C4—34no—
439C2×C3×C4—42no—
440C2×C3×C4—42no—
441C2×C3×C4—616no—
442C2×C3×C4—64no—
443C2×C3×C4—64no—
444C2×C3×C4—128no—
445C2×C3×C4C23×D314yes—
446C2×C3×C4C23×D314yes—
447#67—332no—
448#67—616no—
449#67—616no—
450#67—616no—
451#67—616no—
452#67—616no—
453#67—616no—
454#67—128no—
455C2×Dic3—24no—
456C2×Dic3—24no—
457C2×Dic3—38no—
458C2×Dic3—34no—
459C2×Dic3—34no—
460C2×Dic3—34no—
461C2×Dic3—64no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—616no—
466C2×Dic3—64no—
467C2×Dic3—64no—
468C2×Dic3—64no—
469C2×Dic3—128no—
470C2×Dic3—122no—
471C2×Dic3C23×D314yes—
472C2×Dic3C23×D314yes—
473D12—616no—
474D12—128no—
475C4×D3—216no—
476C4×D3—48no—
477C4×D3—616no—
478C4×D3—128no—
479Dic6—616no—
480C2×C32—24no—
481C2×C32#54614yescomplemented
482C2×C32C23×D411yescharacteristic
483C2×C32C22×#4111yescharacteristic
484C2×C32C2×H(5,𝔽2)11yescharacteristic
485C3⋊D3—42no—
486C3×D3—28no—
487C3×D3—44no—
488C24—32no—
489C24—32no—
490C24—38no—
491C24—68no—
492C24—68no—
493C24—91no—
494C24—124no—
495C24C2×D3211yescharacteristic
496#41—1832no—
497C2×Q8—94no—
498C2×Q8—184no—
499C2×D4—98no—
500C2×D4—98no—
501C2×D4—94no—
502C2×D4—98no—
503C2×D4—98no—
504C2×D4—94no—
505C2×D4—94no—
506C2×D4—188no—
507C2×D4—184no—
508C2×D4—1832no—
509C2×D4—188no—
510C2×D4—184no—
511C2×D4—364no—
512C22×C4—32no—
513C22×C4—32no—
514C22×C4—38no—
515C22×C4—38no—
516C22×C4—68no—
517C22×C4—91no—
518C22×C4—94no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4—94no—
522C22×C4—124no—
523C22×C4—184no—
524C22×C4—184no—
525C22×C4C2×D3211yescharacteristic
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⋊C4C2×D3214yes—
537C42—94no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—216no—
541C22×C3—22no—
542C22×C3—24no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—38no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—48no—
550C22×C3—64no—
551C22×C3—64no—
552C22×C3—616no—
553C22×C3—64no—
554C22×C3—64no—
555C22×C3—64no—
556C22×C3—1232no—
557C22×C3—128no—
558C22×C3C2×#23514yes—
559C22×C3C2×#23518yescomplemented
560C22×C3C2×D3×D414yes—
561C22×C3#100414yes—
562C22×C3C24×D312yes—
563C2×D3—24no—
564C2×D3—24no—
565C2×D3—216no—
566C2×D3—24no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—432no—
570C2×D3—48no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—64no—
575C2×D3—122no—
576C2×D3—122no—
577C2×D3—128no—
578C2×D3—128no—
579C2×D3C2×D3×D418yes—
580C3×C4—24no—
581C3×C4—24no—
582C3×C4—42no—
583C3×C4—42no—
584C3×C4—64no—
585C3×C4—64no—
586Dic3—24no—
587Dic3—24no—
588Dic3—38no—
589Dic3—64no—
590Dic3—64no—
591Dic3—64no—
592Dic3—64no—
593Dic3—122no—
594C32C2×#54611yescharacteristic, complemented, Sylow
595C23—22no—
596C23—22no—
597C23—38no—
598C23—34no—
599C23—34no—
600C23—616no—
601C23—64no—
602C23—64no—
603C23—64no—
604C23—616no—
605C23—64no—
606C23—64no—
607C23—92no—
608C23—128no—
609C23—1232no—
610C23—182no—
611C23—182no—
612C23—182no—
613C23#379814yescomplemented
614C23C22×D3212yes—
615C23C22×D3211yescharacteristic
616Q8—188no—
617D4—916no—
618D4—1816no—
619D4—188no—
620D4—1816no—
621D4—188no—
622D4—368no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—34no—
626C2×C4—34no—
627C2×C4—616no—
628C2×C4—64no—
629C2×C4—64no—
630C2×C4—94no—
631C2×C4—92no—
632C2×C4—92no—
633C2×C4—92no—
634C2×C4—128no—
635C2×C4—188no—
636C2×C4—188no—
637C2×C4—182no—
638C2×C4—182no—
639C2×C4C22×D3212yes—
640C2×C4C22×D3212yes—
641C2×C3—28no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—24no—
646C2×C3—44no—
647C2×C3—68no—
648C2×C3—124no—
649C2×C3#549018yescomplemented
650C2×C3C22×#23512yes—
651C2×C3C22×D3×D412yes—
652C2×C3C2×#100412yes—
653D3—28no—
654D3—44no—
655D3—124no—
656D3—124no—
657C22—22no—
658C22—22no—
659C22—28no—
660C22—38no—
661C22—64no—
662C22—64no—
663C22—616no—
664C22—64no—
665C22—64no—
666C22—64no—
667C22—1232no—
668C22—128no—
669C22—182no—
670C22—182no—
671C22—182no—
672C22—364no—
673C22C2×#379812yes—
674C22C2×#379814yescomplemented
675C22D32×D412yes—
676C22#6431312yes—
677C22C23×D3211yescharacteristic
678C4—22no—
679C4—22no—
680C4—64no—
681C4—64no—
682C4—94no—
683C4—182no—
684C4—182no—
685C3—21no—
686C3C2×#549012yescomplemented
687C2—24no—
688C2—68no—
689C2—124no—
690C2—362no—
691C2#1059418314yesdirect product factor
692C2C22×#379811yescharacteristic
693C2C2×D32×D411yescharacteristic
694C2C2×#6431311yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C22⋊C4C22
socleC23×C32C24
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C23×#625C2semidirect
2. C22×#3798C2semidirect
3. C2×#64090C2semidirect
4. C2×C3×D3×C22⋊C4C2semidirect
5. C2×#63982C2semidirect
6. C2×#63977C2semidirect
7. C2×#63915C2semidirect
8. C2×#63912C2semidirect
9. C2×#63906C2semidirect
10. C2×#63905C2semidirect
11. C2×C4×#625C2semidirect
12. #10594183C2direct (N × H)
17. C22×C4×C3⋊D3C22semidirect
18. C22×C3×C4×D3C22semidirect
19. C22×C3×C4×D3C22semidirect
20. C22×#627C22semidirect
21. C22×#626C22semidirect
22. C22×#626C22semidirect
27. C22×#625C22semidirect
29. C2×#3798C22semidirect
31. C2×#3752C22semidirect
32. C2×#3750C22semidirect
33. C2×C4×C3⋊Dic3C22semidirect
34. #64090C22semidirect
36. C2×C3×(C2×D3)⋊C4C22semidirect
37. C2×C3×(C2×D3)⋊C4C22semidirect
38. C3×D3×C22⋊C4C22semidirect
39. #63982C22semidirect
40. #63977C22semidirect
41. C2×#3724C22semidirect
42. C2×Dic3⋊Dic3C22semidirect
43. C2×(C2×D3)⋊Dic3C22semidirect
44. C2×(C2×D3)⋊Dic3C22semidirect
45. #63915C22semidirect
46. #63912C22semidirect
47. #63906C22semidirect
48. #63905C22semidirect
49. C4×#625C22semidirect
65. C2×D3×C22⋊C4D3semidirect
85. C2×C4×C3⋊D3C23semidirect
90. C2×C3×C4×D3C23semidirect
91. C2×C3×C4×D3C23semidirect
93. C2×#627C23semidirect
96. C2×#626C23semidirect
97. C2×#626C23semidirect
101. C2×#625D4semidirect
107. #3752C23semidirect
108. #3750C23semidirect
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
140. C22×C4×D3C2×D3semidirect
141. C22×C4×D3C2×D3semidirect
160. C2×(C2×D3)⋊C4C2×D3semidirect
161. C2×(C2×D3)⋊C4C2×D3semidirect
176. D3×C22⋊C4C2×D3semidirect
180. C23×C32#41semidirect
223. #625C2×D4semidirect
302. C2×C4×D3C22×D3semidirect
303. C2×C4×D3C22×D3semidirect
318. (C2×D3)⋊C4C22×D3semidirect
319. (C2×D3)⋊C4C22×D3semidirect
332. C22×C32C2×#41semidirect
410. C23×C3#235semidirect
481. C2×C32#546semidirect
559. C22×C3C2×#235semidirect
594. C32C2×#546semidirect
613. C23#3798semidirect
649. C2×C3#5490semidirect
674. C22C2×#3798semidirect
686. C3C2×#5490semidirect
691. C2#10594183direct (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×#37982
C2×#640902
C2×C3×D3×C22⋊C42
C2×#639822
C2×#639772
C2×#639152
C2×#639122
C2×#639062
C2×#639052
C2×C4×#6252
#105941832
C2×#54903