Finite Group Databasebeta

← C2×#10595280 #11900958

Subgroups — C2×#10595280 #11900958

Order 1152.

4181 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×#67C212yesmaximal, complemented
2C2×#64147C211yesmaximal, characteristic, complemented
3C2×C3×#937C212yesmaximal, complemented
4C2×#63976C212yesmaximal, complemented
5C2×#63969C212yesmaximal, complemented
6C2×#63958C212yesmaximal, complemented
7#10595280C2116yesmaximal, direct product factor
8C2×#63921C211yesmaximal, characteristic, complemented
9C2×#63912C211yesmaximal, characteristic, complemented
10C2×#63891C212yesmaximal, complemented
11C2×#5589—32nomaximal
12C24×C3×D3C2212yescomplemented
13C23×D32C2211yescharacteristic
14C22×C32×D4C2211yescharacteristic, complemented
15C22×#638C2212yescomplemented
16C22×C4×C3⋊D3C2211yescharacteristic, complemented
17C22×C3×#67C2212yes—
18C22×C3×#67C2212yescomplemented
19C2×D3×#67—216no—
20C2×D3×#67C22116yescomplemented
21C22×#626C2212yescomplemented
22C22×#625C2212yes—
23C22×#625C2211yescharacteristic, complemented
24C22×#624C2211yescharacteristic, complemented
25C22×D3×Dic3C2212yescomplemented
26C2×#3757C2212yescomplemented
27#64147C2218yescomplemented
28C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
29C2×C3×#217C2212yescomplemented
30C3×#937C22116yescomplemented
31C2×C3×(C2×D3)⋊C4C2212yescomplemented
32C2×C3×(C2×D3)⋊C4C2212yescomplemented
33#63976C22116yescomplemented
34#63969C22116yescomplemented
35C2×#3724C2211yescharacteristic, complemented
36C2×Dic3⋊Dic3C2212yescomplemented
37C2×(C2×D3)⋊Dic3C2212yescomplemented
38C2×(C2×D3)⋊Dic3C2212yescomplemented
39#63958C22116yescomplemented
40#63921C2218yescomplemented
41#63912C2218yescomplemented
42#63891C22116yescomplemented
43C23×#67—32no—
44C22×D3×D4—32no—
45C2×C3×#120—32no—
46C2×#953—32no—
47C2×#938—32no—
48C2×#938—32no—
49C2×#938—61no—
50C2×#937—32no—
51C2×#937D312yescomplemented
52C2×#935—32no—
53#5589—332no—
54C2×#886—32no—
55C2×#884—32no—
56C2×#884—32no—
57C2×#883—32no—
58C2×#883—32no—
59C2×D3×C22⋊C4—32no—
60C24×C32C2312yes—
61C23×C3⋊D3C2311yescharacteristic
62C23×C3×D3—28no—
63C23×C3×D3—44no—
64C23×C3×D3—44no—
65C23×C3×D3C2312yes—
66C23×C3×D3C2312yes—
67C23×C3×D3C2318yescomplemented
68C22×D32—42no—
69C22×D32—42no—
70C22×D32D418yescomplemented
71C22×D32C2314yes—
72C2×C32×D4—42no—
73C2×C32×D4C2314yescomplemented
74C22×C32×C4C2311yescharacteristic
75C2×#638—28no—
76C2×#638C2318yescomplemented
77C22×C3⋊Dic3C2312yes—
78C22×C3⋊Dic3C2311yescharacteristic
79C2×C4×C3⋊D3—42no—
80C2×C4×C3⋊D3C2314yescomplemented
81C2×C3×#67—28no—
82C2×C3×#67—44no—
83C2×C3×#67C2318yes—
84C2×C3×#67C2318yescomplemented
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2312yes—
87D3×#67—264no—
88C2×#626—28no—
89C2×#626C2318yescomplemented
90C2×#625—28no—
91C2×#625—42no—
92C2×#625C2318yes—
93C2×#625C2314yescomplemented
94C2×#624—42no—
95C2×#624C2314yescomplemented
96C2×D3×Dic3—28no—
97C2×D3×Dic3C2318yescomplemented
98#3757C2318yescomplemented
99C4⋊(C3⋊Dic3)C2314yescomplemented
100C3×#217C2318yescomplemented
101C3×(C2×D3)⋊C4C2318yescomplemented
102C3×(C2×D3)⋊C4C2318yescomplemented
103#3724C2314yescomplemented
104Dic3⋊Dic3C2318yescomplemented
105(C2×D3)⋊Dic3C2318yescomplemented
106(C2×D3)⋊Dic3C2318yescomplemented
107C2×#534—91noSylow
108C25×C3—32no—
109C24×D3—32no—
110C24×D3C2×D312yescomplemented
111C22×C3×D4—21no—
112C22×C3×D4—32no—
113C22×C3×D4—32no—
114C22×C3×D4C2×D312yescomplemented
115C22×#67—32no—
116C22×#67—32no—
117C22×#67—32no—
118C22×#67—32no—
119C22×#67—32no—
120C22×#67—316no—
121C22×#67—32no—
122C22×#67—62no—
123C22×#67—616no—
124C22×#67C2×D312yes—
125C22×#67C2×D312yescomplemented
126C23×Dic3—32no—
127C2×D3×D4—316no—
128C2×D3×D4—616no—
129C22×D12—32no—
130C22×C4×D3—32no—
131C22×C4×D3—32no—
132C22×C4×D3—32no—
133C22×C4×D3—61no—
134C3×#120—316no—
135C2×C3×C22⋊C4—32no—
136C2×C3×C22⋊C4—32no—
137C2×C3×C22⋊C4—32no—
138#953—316no—
139C2×#217—32no—
140C2×#217—32no—
141C2×#217—32no—
142C2×#217—32no—
143C2×#217—62no—
144C2×#217C2×D312yescomplemented
145#938—316no—
146#938—316no—
147#938—68no—
148#937—316no—
149#937C2×D3116yescomplemented
150#935—316no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4C2×D312yescomplemented
154C2×(C2×D3)⋊C4C2×D312yescomplemented
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—61no—
158C2×Dic3⋊C4—32no—
159C2×Dic3⋊C4—32no—
160#886—316no—
161#884—316no—
162#884—316no—
163#883—316no—
164#883—316no—
165D3×C22⋊C4—316no—
166C23×C32—24no—
167C23×C32—24no—
168C23×C32—24no—
169C23×C32C2414yes—
170C23×C32C2411yescharacteristic
171C22×C3⋊D3—22no—
172C22×C3⋊D3—22no—
173C22×C3⋊D3C2×D414yes—
174C22×C3⋊D3C2412yes—
175C22×C3×D3—24no—
176C22×C3×D3—24no—
177C22×C3×D3—24no—
178C22×C3×D3—24no—
179C22×C3×D3—24no—
180C22×C3×D3—216no—
181C22×C3×D3—48no—
182C22×C3×D3—48no—
183C22×C3×D3—432no—
184C22×C3×D3C2×D418yes—
185C22×C3×D3C2414yes—
186C22×C3×D3C2414yes—
187C2×D32—416no—
188C2×D32—44no—
189C2×D32—44no—
190C2×D32C2×D4116yescomplemented
191C32×D4—44no—
192C2×C32×C4—22no—
193C2×C32×C4C2412yes—
194#638—216no—
195C2×C3⋊Dic3—24no—
196C2×C3⋊Dic3—22no—
197C2×C3⋊Dic3C2412yes—
198C2×C3⋊Dic3C2414yes—
199C4×C3⋊D3—44no—
200C3×#67—216no—
201C3×#67—48no—
202C2×C3×Dic3—24no—
203C2×C3×Dic3—24no—
204C2×C3×Dic3C2414yes—
205C2×C3×Dic3C2414yes—
206#626—216no—
207#625—216no—
208#625—44no—
209#624—44no—
210D3×Dic3—216no—
211C23×D4—92no—
212#534—916no—
213C2×#123—92no—
214C2×#123—92no—
215C2×#121—91no—
216C2×#121—92no—
217C2×#121—91no—
218C2×#120—32no—
219C2×#120—92no—
220C22×C22⋊C4—91no—
221C24×C3—22no—
222C24×C3—32no—
223C24×C3—32no—
224C24×C3—38no—
225C24×C3—68no—
226C24×C3—124no—
227C24×C3—124no—
228C24×C3C22×D312yes—
229C24×C3C22×D312yes—
230C23×D3—28no—
231C23×D3—32no—
232C23×D3—316no—
233C23×D3—38no—
234C23×D3—44no—
235C23×D3—44no—
236C23×D3—61no—
237C23×D3—124no—
238C23×D3—124no—
239C23×D3C22×D312yes—
240C23×D3C22×D312yes—
241C23×D3C22×D318yescomplemented
242C2×C3×D4—24no—
243C2×C3×D4—38no—
244C2×C3×D4—38no—
245C2×C3×D4—44no—
246C2×C3×D4—44no—
247C2×C3×D4—68no—
248C2×C3×D4—124no—
249C2×C3×D4C22×D318yescomplemented
250C22×C3×C4—21no—
251C22×C3×C4—32no—
252C22×C3×C4—32no—
253C22×C3×C4C22×D312yes—
254C2×#67—28no—
255C2×#67—38no—
256C2×#67—38no—
257C2×#67—38no—
258C2×#67—38no—
259C2×#67—38no—
260C2×#67—38no—
261C2×#67—44no—
262C2×#67—68no—
263C2×#67—68no—
264C2×#67—664no—
265C2×#67—68no—
266C2×#67—68no—
267C2×#67—68no—
268C2×#67—68no—
269C2×#67—128no—
270C2×#67—124no—
271C2×#67C22×D318yes—
272C2×#67C22×D318yescomplemented
273C22×Dic3—32no—
274C22×Dic3—32no—
275C22×Dic3—32no—
276C22×Dic3—38no—
277C22×Dic3—62no—
278C22×Dic3—61no—
279C22×Dic3—68no—
280C22×Dic3C22×D312yes—
281C22×Dic3C22×D312yes—
282D3×D4—664no—
283C2×D12—38no—
284C2×D12—68no—
285C2×C4×D3—38no—
286C2×C4×D3—38no—
287C2×C4×D3—38no—
288C2×C4×D3—64no—
289C2×C4×D3—68no—
290C2×C4×D3—124no—
291C2×C4×D3—124no—
292C2×C4×D3—124no—
293C3×C22⋊C4—38no—
294C3×C22⋊C4—38no—
295C3×C22⋊C4—38no—
296#217—38no—
297#217—38no—
298#217—38no—
299#217—38no—
300#217—68no—
301#217C22×D318yescomplemented
302(C2×D3)⋊C4—38no—
303(C2×D3)⋊C4—38no—
304(C2×D3)⋊C4C22×D318yescomplemented
305(C2×D3)⋊C4C22×D318yescomplemented
306C4⋊Dic3—38no—
307C4⋊Dic3—38no—
308C4⋊Dic3—64no—
309Dic3⋊C4—38no—
310Dic3⋊C4—38no—
311C22×C32—24no—
312C22×C32—24no—
313C22×C32—24no—
314C22×C32—48no—
315C22×C32C22×D412yes—
316C22×C32H(5,𝔽2)12yes—
317C22×C32H(5,𝔽2)12yes—
318C22×C32C2511yescharacteristic
319C2×C3⋊D3—28no—
320C2×C3⋊D3—22no—
321C2×C3⋊D3—22no—
322C2×C3⋊D3C22×D414yes—
323C2×C3×D3—216no—
324C2×C3×D3—24no—
325C2×C3×D3—24no—
326C2×C3×D3—24no—
327C2×C3×D3—24no—
328C2×C3×D3—24no—
329C2×C3×D3—432no—
330C2×C3×D3—48no—
331C2×C3×D3C22×D418yes—
332D32—416no—
333C32×C4—22no—
334C3⋊Dic3—24no—
335C3⋊Dic3—22no—
336C3×Dic3—24no—
337C3×Dic3—24no—
338C25—32no—
339C25—91no—
340C22×D4—32no—
341C22×D4—32no—
342C22×D4—92no—
343C22×D4—916no—
344C22×D4—92no—
345C22×D4—92no—
346C22×D4—91no—
347C22×D4—1816no—
348C22×D4D3211yescharacteristic, complemented
349C23×C4—91no—
350C23×C4—92no—
351C23×C4—91no—
352#123—916no—
353#123—916no—
354#121—98no—
355#121—916no—
356#121—98no—
357#120—316no—
358#120—916no—
359C2×C4⋊C4—91no—
360C2×C4⋊C4—92no—
361C2×C4⋊C4—91no—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—98no—
366C2×C22⋊C4—92no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—92no—
369C23×C3—24no—
370C23×C3—24no—
371C23×C3—24no—
372C23×C3—24no—
373C23×C3—24no—
374C23×C3—24no—
375C23×C3—24no—
376C23×C3—21no—
377C23×C3—38no—
378C23×C3—34no—
379C23×C3—34no—
380C23×C3—44no—
381C23×C3—44no—
382C23×C3—44no—
383C23×C3—616no—
384C23×C3—64no—
385C23×C3—64no—
386C23×C3—64no—
387C23×C3—64no—
388C23×C3—64no—
389C23×C3—128no—
390C23×C3—128no—
391C23×C3—1232no—
392C23×C3C23×D314yes—
393C23×C3C23×D314yes—
394C23×C3C23×D312yes—
395C22×D3—24no—
396C22×D3—24no—
397C22×D3—24no—
398C22×D3—24no—
399C22×D3—24no—
400C22×D3—216no—
401C22×D3—38no—
402C22×D3—34no—
403C22×D3—332no—
404C22×D3—48no—
405C22×D3—48no—
406C22×D3—432no—
407C22×D3—64no—
408C22×D3—62no—
409C22×D3—64no—
410C22×D3—64no—
411C22×D3—122no—
412C22×D3—122no—
413C22×D3—128no—
414C22×D3—128no—
415C22×D3—1232no—
416C22×D3D3×D418yes—
417C22×D3C23×D314yes—
418C22×D3C23×D314yes—
419C3×D4—48no—
420C3×D4—48no—
421C3×D4—616no—
422C3×D4—128no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—22no—
426C2×C3×C4—34no—
427C2×C3×C4—34no—
428C2×C3×C4—64no—
429C2×C3×C4—64no—
430C2×C3×C4C23×D314yes—
431#67—216no—
432#67—48no—
433#67—616no—
434#67—616no—
435#67—616no—
436#67—616no—
437#67—616no—
438#67—1216no—
439#67—128no—
440C2×Dic3—24no—
441C2×Dic3—24no—
442C2×Dic3—34no—
443C2×Dic3—34no—
444C2×Dic3—34no—
445C2×Dic3—64no—
446C2×Dic3—62no—
447C2×Dic3—616no—
448C2×Dic3—64no—
449C2×Dic3—64no—
450C2×Dic3—64no—
451C2×Dic3—122no—
452C2×Dic3—124no—
453C2×Dic3C23×D314yes—
454C2×Dic3C23×D314yes—
455D12—616no—
456C4×D3—616no—
457C4×D3—128no—
458C4×D3—128no—
459C4×D3—128no—
460C2×C32—44no—
461C2×C32#53414yescomplemented
462C2×C32C23×D411yescharacteristic
463C2×C32C2×H(5,𝔽2)11yescharacteristic
464C2×C32C2×H(5,𝔽2)11yescharacteristic
465C3⋊D3—24no—
466C3×D3—28no—
467C3×D3—44no—
468C24—32no—
469C24—32no—
470C24—38no—
471C24—68no—
472C24—94no—
473C24—98no—
474C24—91no—
475C24—124no—
476C24—124no—
477C24—362no—
478C24—362no—
479C24C2×D3212yes—
480C2×D4—38no—
481C2×D4—38no—
482C2×D4—42no—
483C2×D4—68no—
484C2×D4—98no—
485C2×D4—98no—
486C2×D4—98no—
487C2×D4—94no—
488C2×D4—124no—
489C2×D4—188no—
490C2×D4—1864no—
491C2×D4—188no—
492C2×D4—188no—
493C2×D4—362no—
494C2×D4C2×D3214yescomplemented
495C22×C4—32no—
496C22×C4—32no—
497C22×C4—94no—
498C22×C4—98no—
499C22×C4—91no—
500C22×C4—92no—
501C22×C4—94no—
502C22×C4—188no—
503C22×C4—362no—
504C22×C4—362no—
505C22×C4C2×D3211yescharacteristic
506C4⋊C4—94no—
507C4⋊C4—98no—
508C4⋊C4—94no—
509C22⋊C4—38no—
510C22⋊C4—38no—
511C22⋊C4—38no—
512C22⋊C4—98no—
513C22⋊C4—98no—
514C22⋊C4—98no—
515C22×C3—24no—
516C22×C3—24no—
517C22×C3—24no—
518C22×C3—24no—
519C22×C3—24no—
520C22×C3—24no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—21no—
525C22×C3—38no—
526C22×C3—44no—
527C22×C3—44no—
528C22×C3—44no—
529C22×C3—48no—
530C22×C3—48no—
531C22×C3—64no—
532C22×C3—64no—
533C22×C3—616no—
534C22×C3—64no—
535C22×C3—64no—
536C22×C3—64no—
537C22×C3—88no—
538C22×C3—1232no—
539C22×C3—128no—
540C22×C3C2×D3×D414yes—
541C22×C3#100414yes—
542C22×C3#100414yes—
543C22×C3C24×D312yes—
544C2×D3—24no—
545C2×D3—24no—
546C2×D3—216no—
547C2×D3—24no—
548C2×D3—24no—
549C2×D3—24no—
550C2×D3—38no—
551C2×D3—432no—
552C2×D3—48no—
553C2×D3—64no—
554C2×D3—64no—
555C2×D3—64no—
556C2×D3—616no—
557C2×D3—122no—
558C2×D3—122no—
559C2×D3—128no—
560C2×D3—1232no—
561C2×D3C2×D3×D418yes—
562C3×C4—24no—
563C3×C4—24no—
564C3×C4—64no—
565C3×C4—64no—
566Dic3—24no—
567Dic3—24no—
568Dic3—64no—
569Dic3—64no—
570Dic3—64no—
571Dic3—122no—
572Dic3—124no—
573C32C2×#53411yescharacteristic, complemented, Sylow
574C23—24no—
575C23—24no—
576C23—24no—
577C23—38no—
578C23—34no—
579C23—34no—
580C23—616no—
581C23—64no—
582C23—64no—
583C23—64no—
584C23—64no—
585C23—64no—
586C23—916no—
587C23—94no—
588C23—92no—
589C23—128no—
590C23—128no—
591C23—1232no—
592C23—182no—
593C23—182no—
594C23—364no—
595C23—364no—
596C23—3616no—
597C23C22×D3214yes—
598C23C22×D3211yescharacteristic
599D4—44no—
600D4—616no—
601D4—128no—
602D4—1816no—
603D4—1816no—
604D4—1816no—
605D4—364no—
606C2×C4—22no—
607C2×C4—34no—
608C2×C4—34no—
609C2×C4—64no—
610C2×C4—64no—
611C2×C4—92no—
612C2×C4—94no—
613C2×C4—1816no—
614C2×C4—184no—
615C2×C4—182no—
616C2×C4—364no—
617C2×C4—364no—
618C2×C4C22×D3212yes—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—24no—
623C2×C3—44no—
624C2×C3—44no—
625C2×C3—68no—
626C2×C3—84no—
627C2×C3—124no—
628C2×C3#558918yescomplemented
629C2×C3C22×D3×D412yes—
630C2×C3C2×#100412yes—
631C2×C3C2×#100412yes—
632D3—28no—
633D3—44no—
634D3—68no—
635D3—124no—
636C22—24no—
637C22—24no—
638C22—24no—
639C22—38no—
640C22—48no—
641C22—64no—
642C22—64no—
643C22—616no—
644C22—64no—
645C22—64no—
646C22—64no—
647C22—94no—
648C22—1232no—
649C22—128no—
650C22—182no—
651C22—182no—
652C22—188no—
653C22—3616no—
654C22D32×D412yes—
655C22#6431312yes—
656C22#6433012yes—
657C22C23×D3211yescharacteristic
658C4—22no—
659C4—64no—
660C4—64no—
661C4—184no—
662C4—182no—
663C3—21no—
664C3C2×#558912yescomplemented
665C2—44no—
666C2—68no—
667C2—124no—
668C2—184no—
669C2#1059528014yesdirect product factor
670C2C2×D32×D411yescharacteristic
671C2C2×#6431311yescharacteristic
672C2C2×#6433011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#534
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×D3×#67C2semidirect
2. C2×#64147C2semidirect
3. C2×C3×#937C2semidirect
4. C2×#63976C2semidirect
5. C2×#63969C2semidirect
6. C2×#63958C2semidirect
7. #10595280C2direct (N × H)
8. C2×#63921C2semidirect
9. C2×#63912C2semidirect
10. C2×#63891C2semidirect
12. C24×C3×D3C22semidirect
14. C22×C32×D4C22semidirect
15. C22×#638C22semidirect
16. C22×C4×C3⋊D3C22semidirect
18. C22×C3×#67C22semidirect
20. C2×D3×#67C22semidirect
21. C22×#626C22semidirect
23. C22×#625C22semidirect
24. C22×#624C22semidirect
25. C22×D3×Dic3C22semidirect
26. C2×#3757C22semidirect
27. #64147C22semidirect
28. C2×C4⋊(C3⋊Dic3)C22semidirect
29. C2×C3×#217C22semidirect
30. C3×#937C22semidirect
31. C2×C3×(C2×D3)⋊C4C22semidirect
32. C2×C3×(C2×D3)⋊C4C22semidirect
33. #63976C22semidirect
34. #63969C22semidirect
35. C2×#3724C22semidirect
36. C2×Dic3⋊Dic3C22semidirect
37. C2×(C2×D3)⋊Dic3C22semidirect
38. C2×(C2×D3)⋊Dic3C22semidirect
39. #63958C22semidirect
40. #63921C22semidirect
41. #63912C22semidirect
42. #63891C22semidirect
51. C2×#937D3semidirect
67. C23×C3×D3C23semidirect
70. C22×D32D4semidirect
73. C2×C32×D4C23semidirect
76. C2×#638C23semidirect
80. C2×C4×C3⋊D3C23semidirect
84. C2×C3×#67C23semidirect
89. C2×#626C23semidirect
93. C2×#625C23semidirect
95. C2×#624C23semidirect
97. C2×D3×Dic3C23semidirect
98. #3757C23semidirect
99. C4⋊(C3⋊Dic3)C23semidirect
100. C3×#217C23semidirect
101. C3×(C2×D3)⋊C4C23semidirect
102. C3×(C2×D3)⋊C4C23semidirect
103. #3724C23semidirect
104. Dic3⋊Dic3C23semidirect
105. (C2×D3)⋊Dic3C23semidirect
106. (C2×D3)⋊Dic3C23semidirect
110. C24×D3C2×D3semidirect
114. C22×C3×D4C2×D3semidirect
125. C22×#67C2×D3semidirect
144. C2×#217C2×D3semidirect
149. #937C2×D3semidirect
153. C2×(C2×D3)⋊C4C2×D3semidirect
154. C2×(C2×D3)⋊C4C2×D3semidirect
190. C2×D32C2×D4semidirect
241. C23×D3C22×D3semidirect
249. C2×C3×D4C22×D3semidirect
272. C2×#67C22×D3semidirect
301. #217C22×D3semidirect
304. (C2×D3)⋊C4C22×D3semidirect
305. (C2×D3)⋊C4C22×D3semidirect
348. C22×D4D32semidirect
461. C2×C32#534semidirect
494. C2×D4C2×D32semidirect
573. C32C2×#534semidirect
628. C2×C3#5589semidirect
664. C3C2×#5589semidirect
669. C2#10595280direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D3×#672
C2×#641472
C2×C3×#9372
C2×#639762
C2×#639692
C2×#639582
#105952802
C2×#639212
C2×#639122
C2×#638912
C2×#55893