Finite Group Databasebeta

← C2×#10595245 #11903182

Subgroups — C2×#10595245 #11903182

Order 1152.

2717 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
2C2×C3×#938C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic, complemented
4C2×#67⋊Dic3C212yesmaximal, complemented
5C2×#63970C212yesmaximal, complemented
6C2×#63962C212yesmaximal, complemented
7C2×#63956C212yesmaximal, complemented
8#10595245C2116yesmaximal, direct product factor
9C2×C4×#625C211yesmaximal, characteristic, complemented
10C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C2×#63872C211yesmaximal, characteristic, complemented
12C2×#63841C211yesmaximal, characteristic, complemented
13C2×#5614—31nomaximal
14C2×#5618—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C23×C3⋊Dic3C2212yes—
17C22×C3×#67C2212yes—
18C22×C3×#67C2212yes—
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C22×#625C2211yescharacteristic
22C22×D3×Dic3C2212yes—
23C2×#3757C2212yes—
24D4×C3⋊Dic3C2218yescomplemented
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C4×C3⋊Dic3C2211yescharacteristic
27C2×C3×#217C2212yes—
28C2×C3×#217C2212yes—
29C3×#938C2218yescomplemented
30C3×#938C2218yescomplemented
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2211yescharacteristic
33#67⋊Dic3C22116yescomplemented
34#63970C22116yescomplemented
35C2×#3724C2211yescharacteristic
36C2×Dic3⋊Dic3C2212yes—
37C2×Dic3⋊Dic3C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39#63962C22116yescomplemented
40C2×(C2×D3)⋊Dic3C2211yescharacteristic
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×(C2×D3)⋊Dic3C2211yescharacteristic
43#63956C22116yescomplemented
44C2×Dic32C2212yes—
45C4×#625C2218yescomplemented
46D3×C4⋊Dic3C2218yescomplemented
47#63872C2218yescomplemented
48#63841C2218yescomplemented
49C2×C3×#121—31no—
50C2×C3×#121—31no—
51C2×#939—32no—
52C2×#938—32no—
53C2×#938D311yescharacteristic, complemented
54C2×#938D311yescharacteristic, complemented
55C2×#935—32no—
56C2×D4×Dic3—31no—
57C2×D4×Dic3—31no—
58C2×D4×Dic3—32no—
59C2×D4×Dic3—61no—
60C2×C4×#67—31no—
61C2×C4×#67—31no—
62C2×#926—31no—
63C22×C4⋊Dic3—31no—
64#5618—316no—
65#5614—316no—
66C2×#892—31no—
67C2×D3×C4⋊C4—31no—
68C2×#890—31no—
69C2×#890—31no—
70C2×#886—32no—
71C2×#67⋊C4—32no—
72C2×#879—32no—
73C2×#879—32no—
74C24×C32C2312yes—
75C23×C3×D3C2311yescharacteristic
76C23×C3×D3C2311yescharacteristic
77C2×C32×D4—24no—
78C2×C32×D4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3—44no—
81C22×C3⋊Dic3C2312yes—
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2318yes—
85C2×C3×#67—28no—
86C2×C3×#67—44no—
87C2×C3×#67C2318yes—
88C2×C3×#67C2318yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2311yescharacteristic
93C2×C3×C4×D3—24no—
94C2×C3×C4×D3—24no—
95C2×C3×C4×D3C2314yes—
96C2×C3×C4×D3C2314yes—
97C2×#625—24no—
98C2×#625C2314yes—
99C2×D3×Dic3—44no—
100C2×D3×Dic3C2318yes—
101#3757C2318yes—
102C4⋊(C3⋊Dic3)C2314yes—
103C4×C3⋊Dic3C2314yes—
104C3×#217C2318yes—
105C3×#217C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2314yes—
108#3724C2314yes—
109Dic3⋊Dic3C2318yes—
110Dic3⋊Dic3C2318yes—
111Dic3⋊Dic3C2318yes—
112(C2×D3)⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2314yes—
114(C2×D3)⋊Dic3C2314yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—21no—
118C22×C3×D4—32no—
119C22×C3×D4—32no—
120C22×C3×D4C2×D311yescharacteristic
121C22×C3×D4C2×D311yescharacteristic
122C23×C3×C4—31no—
123C23×C3×C4—31no—
124C22×#67—31no—
125C22×#67—31no—
126C22×#67C2×D312yes—
127C22×#67C2×D312yes—
128C23×Dic3—32no—
129C23×Dic3—32no—
130C23×Dic3—32no—
131C23×Dic3—62no—
132C22×C4×D3—32no—
133C22×C4×D3C2×D311yescharacteristic
134C22×C4×D3C2×D311yescharacteristic
135C3×#121—38no—
136C3×#121—38no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C22⋊C4—32no—
140C2×C3×C22⋊C4—32no—
141C2×#217—32no—
142C2×#217—32no—
143C2×#217—32no—
144C2×#217—31no—
145C2×#217—31no—
146C2×#217—62no—
147C2×#217C2×D312yes—
148C2×#217C2×D312yes—
149#939—316no—
150#938—316no—
151#938C2×D318yescomplemented
152#938C2×D318yescomplemented
153#935—316no—
154D4×Dic3—38no—
155D4×Dic3—38no—
156D4×Dic3—316no—
157D4×Dic3—68no—
158C4×#67—38no—
159C4×#67—38no—
160C2×(C2×D3)⋊C4—31no—
161C2×(C2×D3)⋊C4—31no—
162C2×(C2×D3)⋊C4—32no—
163#926—38no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—32no—
167C2×C4⋊Dic3—32no—
168C2×C4⋊Dic3—32no—
169C2×C4⋊Dic3—38no—
170C2×C4⋊Dic3—61no—
171C2×C4⋊Dic3C2×D311yescharacteristic
172C2×C4⋊Dic3C2×D311yescharacteristic
173C2×Dic3⋊C4—31no—
174C2×Dic3⋊C4—31no—
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×C4×Dic3—31no—
179C2×C4×Dic3—31no—
180C2×C4×Dic3—32no—
181C2×C4×Dic3—32no—
182C2×C4×Dic3—61no—
183#892—38no—
184D3×C4⋊C4—38no—
185#890—38no—
186#890—38no—
187#886—316no—
188#67⋊C4—316no—
189#879—316no—
190#879—316no—
191C23×C32—24no—
192C23×C32—24no—
193C23×C32—24no—
194C23×C32C2414yes—
195C23×C32C2411yescharacteristic
196C22×C3×D3—22no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3#4114yes—
202C22×C3×D3C2412yes—
203C22×C3×D3C2412yes—
204C32×D4—28no—
205C2×C32×C4#4114yes—
206C2×C32×C4C2412yes—
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—24no—
210C2×C3⋊Dic3—48no—
211C2×C3⋊Dic3C2414yes—
212C2×C3⋊Dic3C2412yes—
213C2×C3⋊Dic3C2412yes—
214C3×#67—216no—
215C3×#67—48no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2414yes—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2414yes—
224C3×C4×D3—28no—
225C3×C4×D3—28no—
226#625—28no—
227D3×Dic3—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—91no—
231C2×#123—92no—
232C2×#121—31no—
233C2×#121—31no—
234C2×#121—92no—
235C2×C4×D4—92no—
236C2×C4×D4—91no—
237C2×C4×D4—91no—
238C2×#117—91no—
239C22×C4⋊C4—91no—
240C24×C3—22no—
241C24×C3—31no—
242C24×C3—31no—
243C24×C3C22×D312yes—
244C24×C3C22×D312yes—
245C23×D3C22×D311yescharacteristic
246C23×D3C22×D311yescharacteristic
247C2×C3×D4—28no—
248C2×C3×D4—24no—
249C2×C3×D4—24no—
250C2×C3×D4—24no—
251C2×C3×D4—38no—
252C2×C3×D4—38no—
253C2×C3×D4—68no—
254C2×C3×D4—124no—
255C2×C3×D4C22×D314yes—
256C2×C3×D4C22×D314yes—
257C22×C3×C4—21no—
258C22×C3×C4—31no—
259C22×C3×C4—32no—
260C22×C3×C4—32no—
261C22×C3×C4—31no—
262C22×C3×C4—34no—
263C22×C3×C4—34no—
264C22×C3×C4—64no—
265C22×C3×C4—64no—
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D311yescharacteristic
268C2×#67—28no—
269C2×#67—34no—
270C2×#67—34no—
271C2×#67—44no—
272C2×#67—64no—
273C2×#67—64no—
274C2×#67C22×D318yes—
275C2×#67C22×D318yes—
276C22×Dic3—31no—
277C22×Dic3—31no—
278C22×Dic3—31no—
279C22×Dic3—32no—
280C22×Dic3—31no—
281C22×Dic3—32no—
282C22×Dic3—38no—
283C22×Dic3—38no—
284C22×Dic3—38no—
285C22×Dic3—61no—
286C22×Dic3—61no—
287C22×Dic3—62no—
288C22×Dic3—68no—
289C22×Dic3—124no—
290C22×Dic3—124no—
291C22×Dic3—124no—
292C22×Dic3—128no—
293C22×Dic3C22×D311yescharacteristic
294C22×Dic3C22×D312yes—
295C22×Dic3C22×D311yescharacteristic
296C22×Dic3C22×D312yes—
297C2×C4×D3—24no—
298C2×C4×D3—24no—
299C2×C4×D3—38no—
300C2×C4×D3—124no—
301C2×C4×D3C22×D314yes—
302C2×C4×D3C22×D314yes—
303C3×C4⋊C4—34no—
304C3×C4⋊C4—34no—
305C3×C22⋊C4—38no—
306C3×C22⋊C4—38no—
307#217—38no—
308#217—38no—
309#217—38no—
310#217—34no—
311#217—34no—
312#217—68no—
313#217C22×D318yes—
314#217C22×D318yes—
315(C2×D3)⋊C4—34no—
316(C2×D3)⋊C4—34no—
317(C2×D3)⋊C4—38no—
318C4⋊Dic3—34no—
319C4⋊Dic3—34no—
320C4⋊Dic3—38no—
321C4⋊Dic3—38no—
322C4⋊Dic3—38no—
323C4⋊Dic3—64no—
324C4⋊Dic3C22×D314yes—
325C4⋊Dic3C22×D314yes—
326Dic3⋊C4—34no—
327Dic3⋊C4—34no—
328Dic3⋊C4—38no—
329Dic3⋊C4—38no—
330Dic3⋊C4—38no—
331C4×Dic3—34no—
332C4×Dic3—34no—
333C4×Dic3—38no—
334C4×Dic3—38no—
335C4×Dic3—64no—
336C22×C32—24no—
337C22×C32—24no—
338C22×C32—24no—
339C22×C32—48no—
340C22×C32C2×#4112yes—
341C22×C32C2×#4112yes—
342C22×C32H(5,𝔽2)12yes—
343C22×C32C2511yescharacteristic
344C2×C3×D3—28no—
345C2×C3×D3—22no—
346C2×C3×D3—22no—
347C2×C3×D3—22no—
348C2×C3×D3—22no—
349C2×C3×D3—22no—
350C2×C3×D3—44no—
351C2×C3×D3C2×#4114yes—
352C32×C4C2×#4114yes—
353C3⋊Dic3—22no—
354C3⋊Dic3—22no—
355C3⋊Dic3—24no—
356C3×Dic3—22no—
357C3×Dic3—22no—
358C3×Dic3—24no—
359C3×Dic3—24no—
360C22×D4—32no—
361C22×D4—32no—
362C22×D4—91no—
363C22×D4D3211yescharacteristic
364C23×C4—31no—
365C23×C4—31no—
366C23×C4—92no—
367C23×C4—92no—
368#126—916no—
369#125—98no—
370#123—916no—
371#121—38no—
372#121—38no—
373#121—916no—
374C4×D4—916no—
375C4×D4—98no—
376C4×D4—98no—
377#117—98no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—98no—
381C2×C4⋊C4—92no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—91no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—92no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—92no—
392C2×C42—92no—
393C2×C42—91no—
394C23×C3—28no—
395C23×C3—24no—
396C23×C3—24no—
397C23×C3—24no—
398C23×C3—24no—
399C23×C3—24no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—21no—
403C23×C3—34no—
404C23×C3—32no—
405C23×C3—32no—
406C23×C3—44no—
407C23×C3—44no—
408C23×C3—62no—
409C23×C3—62no—
410C23×C3—62no—
411C23×C3—62no—
412C23×C3—62no—
413C23×C3C23×D314yes—
414C23×C3C23×D314yes—
415C23×C3C23×D311yescharacteristic
416C23×C3C23×D311yescharacteristic
417C22×D3—22no—
418C22×D3—22no—
419C22×D3—22no—
420C22×D3—22no—
421C22×D3—22no—
422C22×D3#23714yes—
423C22×D3C23×D312yes—
424C22×D3C23×D312yes—
425C3×D4—216no—
426C3×D4—28no—
427C3×D4—28no—
428C3×D4—616no—
429C3×D4—128no—
430C2×C3×C4—22no—
431C2×C3×C4—24no—
432C2×C3×C4—32no—
433C2×C3×C4—34no—
434C2×C3×C4—34no—
435C2×C3×C4—32no—
436C2×C3×C4—62no—
437C2×C3×C4—62no—
438C2×C3×C4—64no—
439C2×C3×C4—64no—
440C2×C3×C4—68no—
441C2×C3×C4—68no—
442C2×C3×C4#23714yes—
443C2×C3×C4#23714yes—
444C2×C3×C4C23×D312yes—
445C2×C3×C4C23×D312yes—
446#67—216no—
447#67—48no—
448#67—68no—
449#67—68no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—24no—
453C2×Dic3—24no—
454C2×Dic3—32no—
455C2×Dic3—32no—
456C2×Dic3—32no—
457C2×Dic3—34no—
458C2×Dic3—34no—
459C2×Dic3—32no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—64no—
467C2×Dic3—62no—
468C2×Dic3—64no—
469C2×Dic3—62no—
470C2×Dic3—122no—
471C2×Dic3—124no—
472C2×Dic3—128no—
473C2×Dic3—128no—
474C2×Dic3—128no—
475C2×Dic3—1216no—
476C2×Dic3C23×D312yes—
477C2×Dic3C23×D314yes—
478C2×Dic3C23×D312yes—
479C2×Dic3C23×D314yes—
480C4×D3—28no—
481C4×D3—28no—
482C4×D3—128no—
483C2×C32—44no—
484C2×C32#55314yescomplemented
485C2×C32C22×#4111yescharacteristic
486C2×C32C22×#4111yescharacteristic
487C2×C32C2×H(5,𝔽2)11yescharacteristic
488C3×D3—24no—
489C3×D3—42no—
490C24—31no—
491C24—31no—
492C24C2×D3212yes—
493C2×D4—24no—
494C2×D4—38no—
495C2×D4—38no—
496C2×D4—68no—
497C2×D4—94no—
498C2×D4—124no—
499C2×D4—184no—
500C2×D4C2×D3214yes—
501C22×C4—31no—
502C22×C4—32no—
503C22×C4—31no—
504C22×C4—32no—
505C22×C4—34no—
506C22×C4—34no—
507C22×C4—64no—
508C22×C4—64no—
509C22×C4—98no—
510C22×C4—91no—
511C22×C4—91no—
512C22×C4—92no—
513C22×C4—98no—
514C22×C4—364no—
515C22×C4—364no—
516C22×C4C2×D3211yescharacteristic
517C4⋊C4—34no—
518C4⋊C4—34no—
519C4⋊C4—98no—
520C4⋊C4—98no—
521C4⋊C4—94no—
522C4⋊C4—98no—
523C4⋊C4—94no—
524C22⋊C4—38no—
525C22⋊C4—38no—
526C22⋊C4—98no—
527C22⋊C4—94no—
528C22⋊C4—94no—
529C22⋊C4—98no—
530C42—98no—
531C42—94no—
532C22×C3—28no—
533C22×C3—24no—
534C22×C3—24no—
535C22×C3—24no—
536C22×C3—24no—
537C22×C3—24no—
538C22×C3—24no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—21no—
543C22×C3—34no—
544C22×C3—44no—
545C22×C3—44no—
546C22×C3—416no—
547C22×C3—48no—
548C22×C3—48no—
549C22×C3—62no—
550C22×C3—62no—
551C22×C3—68no—
552C22×C3—62no—
553C22×C3—62no—
554C22×C3—62no—
555C22×C3—124no—
556C22×C3C2×#23712yes—
557C22×C3C2×#23712yes—
558C22×C3C2×#23712yes—
559C22×C3#100412yes—
560C22×C3D3×#4112yes—
561C22×C3#100912yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C24×D311yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—28no—
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—22no—
570C2×D3—44no—
571C2×D3C2×#23714yes—
572C3×C4—24no—
573C3×C4—62no—
574C3×C4—62no—
575C3×C4—64no—
576C3×C4—64no—
577C3×C4C2×#23714yes—
578C3×C4C2×#23714yes—
579Dic3—22no—
580Dic3—22no—
581Dic3—24no—
582Dic3—24no—
583Dic3—64no—
584Dic3—62no—
585Dic3—62no—
586Dic3—64no—
587Dic3—62no—
588Dic3—64no—
589Dic3—62no—
590Dic3—124no—
591Dic3—122no—
592C32C2×#55311yescharacteristic, complemented, Sylow
593C23—24no—
594C23—24no—
595C23—24no—
596C23—34no—
597C23—32no—
598C23—32no—
599C23—62no—
600C23—62no—
601C23—62no—
602C23—62no—
603C23—62no—
604C23C22×D3214yes—
605C23C22×D3211yescharacteristic
606D4—28no—
607D4—616no—
608D4—128no—
609D4—188no—
610C2×C4—32no—
611C2×C4—34no—
612C2×C4—32no—
613C2×C4—34no—
614C2×C4—64no—
615C2×C4—64no—
616C2×C4—62no—
617C2×C4—62no—
618C2×C4—68no—
619C2×C4—68no—
620C2×C4—92no—
621C2×C4—92no—
622C2×C4—94no—
623C2×C4—182no—
624C2×C4—182no—
625C2×C4—184no—
626C2×C4—368no—
627C2×C4—368no—
628C2×C4#380514yes—
629C2×C4C22×D3212yes—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—24no—
634C2×C3—48no—
635C2×C3—44no—
636C2×C3—44no—
637C2×C3—64no—
638C2×C3—122no—
639C2×C3#561414yescomplemented
640C2×C3#561814yescomplemented
641C2×C3C22×#23711yescharacteristic
642C2×C3C22×#23711yescharacteristic
643C2×C3C22×#23711yescharacteristic
644C2×C3C2×#100411yescharacteristic
645C2×C3C2×D3×#4111yescharacteristic
646C2×C3C2×#100911yescharacteristic
647D3—24no—
648D3—42no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—34no—
653C22—48no—
654C22—62no—
655C22—62no—
656C22—68no—
657C22—62no—
658C22—62no—
659C22—62no—
660C22—124no—
661C22D3×#23712yes—
662C22#6431412yes—
663C22C2×#380512yes—
664C22C23×D3211yescharacteristic
665C4—64no—
666C4—64no—
667C4—62no—
668C4—62no—
669C4—182no—
670C4—182no—
671C4—184no—
672C4C2×#380514yes—
673C3—21no—
674C3C2×#561811yescharacteristic, complemented
675C3C2×#561411yescharacteristic, complemented
676C2—44no—
677C2—64no—
678C2—122no—
679C2#1059524514yesdirect product factor
680C2C2×D3×#23711yescharacteristic
681C2C2×#6431411yescharacteristic
682C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×C3⋊Dic3C2semidirect
2. C2×C3×#938C2semidirect
3. C2×C3×#938C2semidirect
4. C2×#67⋊Dic3C2semidirect
5. C2×#63970C2semidirect
6. C2×#63962C2semidirect
7. C2×#63956C2semidirect
8. #10595245C2direct (N × H)
9. C2×C4×#625C2semidirect
10. C2×D3×C4⋊Dic3C2semidirect
11. C2×#63872C2semidirect
12. C2×#63841C2semidirect
24. D4×C3⋊Dic3C22semidirect
29. C3×#938C22semidirect
30. C3×#938C22semidirect
33. #67⋊Dic3C22semidirect
34. #63970C22semidirect
39. #63962C22semidirect
43. #63956C22semidirect
45. C4×#625C22semidirect
46. D3×C4⋊Dic3C22semidirect
47. #63872C22semidirect
48. #63841C22semidirect
53. C2×#938D3semidirect
54. C2×#938D3semidirect
151. #938C2×D3semidirect
152. #938C2×D3semidirect
484. C2×C32#553semidirect
592. C32C2×#553semidirect
639. C2×C3#5614semidirect
640. C2×C3#5618semidirect
674. C3C2×#5618semidirect
675. C3C2×#5614semidirect
679. C2#10595245direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊Dic32
C2×C3×#9382
C2×#67⋊Dic32
C2×#639702
C2×#639622
C2×#639562
#105952452
C2×C4×#6252
C2×D3×C4⋊Dic32
C2×#638722
C2×#638412
C2×#56143
C2×#56183