Finite Group Databasebeta

← C2×#10595122 #11903183

Subgroups — C2×#10595122 #11903183

Order 1152.

2717 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64147C211yesmaximal, characteristic, complemented
2C2×C3×#938C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×#63961C212yesmaximal, complemented
5C2×#63958C212yesmaximal, complemented
6C2×#63956C212yesmaximal, complemented
7C2×#63952C212yesmaximal, complemented
8#10595122C2116yesmaximal, direct product factor
9C2×C4×#626C211yesmaximal, characteristic, complemented
10C2×#63900C211yesmaximal, characteristic, complemented
11C2×#63869C211yesmaximal, characteristic, complemented
12C2×#63841C211yesmaximal, characteristic, complemented
13C2×#5614—31nomaximal
14C2×#5558—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C23×C3×Dic3C2212yes—
20C22×C3×C4×D3C2211yescharacteristic
21C22×#626C2211yescharacteristic
22C22×#624C2212yes—
23C2×#3757C2212yes—
24#64147C2218yescomplemented
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C3×#938C2218yescomplemented
29C3×D4×Dic3C2218yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33C2×#3724C2212yes—
34C2×#3724C2212yes—
35C2×Dic3⋊Dic3C2212yes—
36C2×Dic3⋊Dic3C2211yescharacteristic
37C2×#3722C2211yescharacteristic
38#63961C22116yescomplemented
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2211yescharacteristic
41#63958C22116yescomplemented
42#63956C22116yescomplemented
43C2×Dic32C2212yes—
44#63952C22116yescomplemented
45C4×#626C2218yescomplemented
46#63900C2218yescomplemented
47#63869C2218yescomplemented
48#63841C2218yescomplemented
49C2×C3×#121—31no—
50C2×C3×C4×D4—31no—
51C2×#938—31no—
52C2×#938—31no—
53C2×#938—32no—
54C2×#938—61no—
55C2×#938D311yescharacteristic, complemented
56C2×#935—32no—
57C2×D4×Dic3D311yescharacteristic, complemented
58C2×#929—32no—
59C2×C4×#67—32no—
60C2×C4×#67—31no—
61C2×#926—31no—
62#5614—316no—
63#5558—316no—
64C2×#892—31no—
65C2×D3×C4⋊C4—31no—
66C2×D3×C4⋊C4—31no—
67C2×#890—31no—
68C2×#884—32no—
69C2×#67⋊C4—32no—
70C2×#879—32no—
71C2×#879—32no—
72C2×C4×D12—31no—
73C2×#870—31no—
74C24×C32C2312yes—
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2311yescharacteristic
77C2×C32×D4—24no—
78C2×C32×D4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C2×#638—28no—
81C2×#638C2318yes—
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2312yes—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yes—
86C2×C3×#67—44no—
87C2×C3×#67C2318yes—
88C22×C3×Dic3—44no—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2311yescharacteristic
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2311yescharacteristic
94C22×C3×Dic3C2318yes—
95C2×C3×C4×D3—24no—
96C2×C3×C4×D3C2314yes—
97C2×#626—24no—
98C2×#626C2314yes—
99C2×#624—44no—
100C2×#624C2318yes—
101#3757C2318yes—
102C4⋊(C3⋊Dic3)C2314yes—
103C3×#217C2318yes—
104C3×#217C2318yes—
105C3×C4⋊Dic3C2314yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4×Dic3C2314yes—
108#3724C2318yes—
109#3724C2318yes—
110Dic3⋊Dic3C2318yes—
111Dic3⋊Dic3C2314yes—
112#3722C2314yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2314yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—21no—
118C22×C3×D4—32no—
119C22×C3×D4C2×D311yescharacteristic
120C22×C3×D4C2×D311yescharacteristic
121C23×C3×C4—32no—
122C23×C3×C4—31no—
123C22×#67—32no—
124C22×#67—32no—
125C22×#67—31no—
126C22×#67—62no—
127C22×#67C2×D312yes—
128C23×Dic3C2×D312yes—
129C22×D12—31no—
130C22×C4×D3—31no—
131C22×C4×D3—31no—
132C22×C4×D3—32no—
133C22×C4×D3—32no—
134C22×C4×D3—61no—
135C22×C4×D3C2×D311yescharacteristic
136C3×#121—38no—
137C3×C4×D4—38no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C22⋊C4—32no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C42—31no—
143C2×#217—32no—
144C2×#217—32no—
145C2×#217—32no—
146C2×#217—31no—
147C2×#217—62no—
148C2×#217C2×D312yes—
149C2×#217C2×D312yes—
150#938—38no—
151#938—38no—
152#938—316no—
153#938—68no—
154#938C2×D318yescomplemented
155#935—316no—
156D4×Dic3C2×D318yescomplemented
157#929—316no—
158C4×#67—316no—
159C4×#67—38no—
160C2×(C2×D3)⋊C4—31no—
161C2×(C2×D3)⋊C4—32no—
162C2×(C2×D3)⋊C4—31no—
163C2×(C2×D3)⋊C4—31no—
164#926—38no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—31no—
167C2×C4⋊Dic3—31no—
168C2×C4⋊Dic3—32no—
169C2×C4⋊Dic3—61no—
170C2×C4⋊Dic3C2×D311yescharacteristic
171C2×C4⋊Dic3C2×D311yescharacteristic
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—32no—
174C2×Dic3⋊C4—31no—
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—32no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3—32no—
180C2×C4×Dic3C2×D311yescharacteristic
181#892—38no—
182D3×C4⋊C4—38no—
183D3×C4⋊C4—38no—
184#890—38no—
185#884—316no—
186#67⋊C4—316no—
187#879—316no—
188#879—316no—
189C4×D12—38no—
190#870—38no—
191C23×C32—24no—
192C23×C32—24no—
193C23×C32—24no—
194C23×C32C2414yes—
195C23×C32C2411yescharacteristic
196C22×C3⋊D3—22no—
197C22×C3⋊D3—22no—
198C22×C3⋊D3#4114yes—
199C22×C3⋊D3C2412yes—
200C22×C3×D3—22no—
201C22×C3×D3—22no—
202C22×C3×D3—22no—
203C22×C3×D3C2412yes—
204C32×D4—28no—
205C2×C32×C4#4114yes—
206C2×C32×C4C2412yes—
207#638—216no—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—24no—
210C2×C3⋊Dic3C2414yes—
211C2×C3⋊Dic3C2412yes—
212C4×C3⋊D3—28no—
213C3×#67—48no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—24no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—48no—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2414yes—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2412yes—
224C2×C3×Dic3C2414yes—
225C3×C4×D3—28no—
226#626—28no—
227#624—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—91no—
231C2×#123—92no—
232C2×#121—31no—
233C2×#121—92no—
234C2×#121—91no—
235C2×C4×D4—31no—
236C2×C4×D4—91no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C22×C4⋊C4—91no—
240C24×C3—22no—
241C24×C3—31no—
242C24×C3C22×D312yes—
243C24×C3C22×D312yes—
244C23×D3—31no—
245C23×D3—31no—
246C23×D3—61no—
247C23×D3C22×D311yescharacteristic
248C2×C3×D4—24no—
249C2×C3×D4—24no—
250C2×C3×D4—24no—
251C2×C3×D4—38no—
252C2×C3×D4—44no—
253C2×C3×D4—124no—
254C2×C3×D4C22×D314yes—
255C2×C3×D4C22×D314yes—
256C22×C3×C4—21no—
257C22×C3×C4—31no—
258C22×C3×C4—32no—
259C22×C3×C4—31no—
260C22×C3×C4—32no—
261C22×C3×C4—31no—
262C22×C3×C4—38no—
263C22×C3×C4—34no—
264C22×C3×C4—64no—
265C22×C3×C4—124no—
266C22×C3×C4C22×D311yescharacteristic
267C22×C3×C4C22×D311yescharacteristic
268C2×#67—38no—
269C2×#67—38no—
270C2×#67—34no—
271C2×#67—44no—
272C2×#67—68no—
273C2×#67—64no—
274C2×#67—68no—
275C2×#67—68no—
276C2×#67—128no—
277C2×#67C22×D318yes—
278C22×Dic3—32no—
279C22×Dic3—32no—
280C22×Dic3—31no—
281C22×Dic3—31no—
282C22×Dic3—44no—
283C22×Dic3—62no—
284C22×Dic3—61no—
285C22×Dic3C22×D311yescharacteristic
286C22×Dic3C22×D312yes—
287C22×Dic3C22×D311yescharacteristic
288C22×Dic3C22×D311yescharacteristic
289C22×Dic3C22×D312yes—
290C22×Dic3C22×D318yes—
291C2×D12—34no—
292C2×D12—64no—
293C2×C4×D3—24no—
294C2×C4×D3—34no—
295C2×C4×D3—34no—
296C2×C4×D3—38no—
297C2×C4×D3—38no—
298C2×C4×D3—64no—
299C2×C4×D3—64no—
300C2×C4×D3—64no—
301C2×C4×D3—124no—
302C2×C4×D3—124no—
303C2×C4×D3—124no—
304C2×C4×D3C22×D314yes—
305C3×C4⋊C4—34no—
306C3×C4⋊C4—34no—
307C3×C22⋊C4—38no—
308C3×C22⋊C4—38no—
309C3×C42—34no—
310#217—38no—
311#217—38no—
312#217—38no—
313#217—34no—
314#217—68no—
315#217C22×D318yes—
316#217C22×D318yes—
317(C2×D3)⋊C4—34no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—34no—
320(C2×D3)⋊C4—34no—
321C4⋊Dic3—34no—
322C4⋊Dic3—34no—
323C4⋊Dic3—34no—
324C4⋊Dic3—38no—
325C4⋊Dic3—64no—
326C4⋊Dic3C22×D314yes—
327C4⋊Dic3C22×D314yes—
328Dic3⋊C4—38no—
329Dic3⋊C4—38no—
330Dic3⋊C4—34no—
331Dic3⋊C4—38no—
332Dic3⋊C4—38no—
333Dic3⋊C4—38no—
334C4×Dic3—38no—
335C4×Dic3—38no—
336C4×Dic3C22×D314yes—
337C22×C32—24no—
338C22×C32—24no—
339C22×C32—24no—
340C22×C32—48no—
341C22×C32C2×#4112yes—
342C22×C32C2×#4112yes—
343C22×C32H(5,𝔽2)12yes—
344C22×C32C2511yescharacteristic
345C2×C3⋊D3—28no—
346C2×C3⋊D3—22no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3C2×#4114yes—
349C2×C3×D3—22no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3—44no—
353C32×C4C2×#4114yes—
354C3⋊Dic3—22no—
355C3⋊Dic3—24no—
356C3×Dic3—22no—
357C3×Dic3—22no—
358C3×Dic3—24no—
359C3×Dic3—24no—
360C3×Dic3—22no—
361C22×D4—32no—
362C22×D4—91no—
363C22×D4—92no—
364C22×D4D3211yescharacteristic
365C23×C4—32no—
366C23×C4—31no—
367C23×C4—92no—
368C23×C4—91no—
369#126—916no—
370#125—98no—
371#123—916no—
372#121—38no—
373#121—916no—
374#121—98no—
375C4×D4—38no—
376C4×D4—98no—
377C4×D4—916no—
378#117—98no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—31no—
381C2×C4⋊C4—98no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4—92no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—92no—
386C2×C4⋊C4—91no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—92no—
393C2×C42—31no—
394C2×C42—92no—
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—32no—
404C23×C3—44no—
405C23×C3—44no—
406C23×C3—44no—
407C23×C3—62no—
408C23×C3—62no—
409C23×C3—62no—
410C23×C3C23×D314yes—
411C23×C3C23×D314yes—
412C23×C3C23×D311yescharacteristic
413C23×C3C23×D311yescharacteristic
414C22×D3—22no—
415C22×D3—22no—
416C22×D3—22no—
417C22×D3—34no—
418C22×D3—34no—
419C22×D3—32no—
420C22×D3—32no—
421C22×D3—64no—
422C22×D3—62no—
423C22×D3—62no—
424C22×D3—62no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—122no—
428C22×D3—122no—
429C22×D3C23×D312yes—
430C3×D4—28no—
431C3×D4—28no—
432C3×D4—48no—
433C3×D4—128no—
434C2×C3×C4—22no—
435C2×C3×C4—24no—
436C2×C3×C4—32no—
437C2×C3×C4—34no—
438C2×C3×C4—32no—
439C2×C3×C4—34no—
440C2×C3×C4—32no—
441C2×C3×C4—62no—
442C2×C3×C4—64no—
443C2×C3×C4—64no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—68no—
447C2×C3×C4—128no—
448C2×C3×C4#23514yes—
449C2×C3×C4#23714yes—
450C2×C3×C4C23×D312yes—
451C2×C3×C4C23×D312yes—
452#67—48no—
453#67—68no—
454#67—616no—
455#67—616no—
456#67—1216no—
457C2×Dic3—22no—
458C2×Dic3—24no—
459C2×Dic3—24no—
460C2×Dic3—22no—
461C2×Dic3—22no—
462C2×Dic3—34no—
463C2×Dic3—34no—
464C2×Dic3—32no—
465C2×Dic3—32no—
466C2×Dic3—48no—
467C2×Dic3—64no—
468C2×Dic3—62no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471C2×Dic3—64no—
472C2×Dic3—64no—
473C2×Dic3—122no—
474C2×Dic3—124no—
475C2×Dic3C23×D312yes—
476C2×Dic3C23×D314yes—
477C2×Dic3C23×D312yes—
478C2×Dic3C23×D312yes—
479C2×Dic3C23×D314yes—
480D12—68no—
481C4×D3—28no—
482C4×D3—68no—
483C4×D3—68no—
484C4×D3—128no—
485C4×D3—128no—
486C4×D3—128no—
487C2×C32—44no—
488C2×C32#55314yescomplemented
489C2×C32C22×#4111yescharacteristic
490C2×C32C22×#4111yescharacteristic
491C2×C32C2×H(5,𝔽2)11yescharacteristic
492C3⋊D3—24no—
493C3×D3—42no—
494C24—31no—
495C24—91no—
496C24C2×D3212yes—
497C2×D4—24no—
498C2×D4—38no—
499C2×D4—94no—
500C2×D4—98no—
501C2×D4—124no—
502C2×D4—184no—
503C2×D4—188no—
504C2×D4C2×D3214yes—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—32no—
509C22×C4—32no—
510C22×C4—38no—
511C22×C4—34no—
512C22×C4—64no—
513C22×C4—98no—
514C22×C4—92no—
515C22×C4—91no—
516C22×C4—94no—
517C22×C4—124no—
518C22×C4—184no—
519C22×C4—364no—
520C22×C4C2×D3211yescharacteristic
521C4⋊C4—34no—
522C4⋊C4—34no—
523C4⋊C4—98no—
524C4⋊C4—98no—
525C4⋊C4—94no—
526C4⋊C4—98no—
527C4⋊C4—94no—
528C22⋊C4—38no—
529C22⋊C4—38no—
530C22⋊C4—94no—
531C22⋊C4—98no—
532C22⋊C4—94no—
533C22⋊C4—98no—
534C42—34no—
535C42—98no—
536C22×C3—24no—
537C22×C3—24no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—24no—
541C22×C3—24no—
542C22×C3—22no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—21no—
546C22×C3—44no—
547C22×C3—44no—
548C22×C3—44no—
549C22×C3—48no—
550C22×C3—48no—
551C22×C3—62no—
552C22×C3—62no—
553C22×C3—62no—
554C22×C3—88no—
555C22×C3—124no—
556C22×C3C2×#23512yes—
557C22×C3C2×#23712yes—
558C22×C3#100412yes—
559C22×C3#100412yes—
560C22×C3D3×#4112yes—
561C22×C3D3×#4112yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C24×D311yescharacteristic
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—34no—
568C2×D3—34no—
569C2×D3—44no—
570C2×D3—64no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—62no—
575C2×D3—68no—
576C2×D3—68no—
577C2×D3—122no—
578C2×D3—128no—
579C2×D3—122no—
580C3×C4—24no—
581C3×C4—62no—
582C3×C4—64no—
583C3×C4—64no—
584C3×C4—62no—
585C3×C4—62no—
586C3×C4C2×#23514yes—
587C3×C4C2×#23714yes—
588Dic3—22no—
589Dic3—24no—
590Dic3—24no—
591Dic3—22no—
592Dic3—22no—
593Dic3—62no—
594Dic3—62no—
595Dic3—64no—
596Dic3—64no—
597Dic3—122no—
598Dic3—124no—
599C32C2×#55311yescharacteristic, complemented, Sylow
600C23—24no—
601C23—24no—
602C23—24no—
603C23—32no—
604C23—62no—
605C23—62no—
606C23—62no—
607C23—94no—
608C23—92no—
609C23—182no—
610C23—182no—
611C23C22×D3214yes—
612C23C22×D3211yescharacteristic
613D4—28no—
614D4—128no—
615D4—188no—
616D4—1816no—
617C2×C4—32no—
618C2×C4—32no—
619C2×C4—32no—
620C2×C4—34no—
621C2×C4—34no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—64no—
625C2×C4—64no—
626C2×C4—62no—
627C2×C4—68no—
628C2×C4—94no—
629C2×C4—92no—
630C2×C4—128no—
631C2×C4—184no—
632C2×C4—182no—
633C2×C4—188no—
634C2×C4—368no—
635C2×C4#380414yes—
636C2×C4C22×D3212yes—
637C2×C3—24no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—44no—
642C2×C3—44no—
643C2×C3—84no—
644C2×C3—122no—
645C2×C3#555814yescomplemented
646C2×C3#561414yescomplemented
647C2×C3C22×#23511yescharacteristic
648C2×C3C22×#23711yescharacteristic
649C2×C3C2×#100411yescharacteristic
650C2×C3C2×#100411yescharacteristic
651C2×C3C2×D3×#4111yescharacteristic
652C2×C3C2×D3×#4111yescharacteristic
653D3—42no—
654D3—64no—
655D3—64no—
656D3—124no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—48no—
661C22—62no—
662C22—62no—
663C22—62no—
664C22—94no—
665C22—124no—
666C22—188no—
667C22—182no—
668C22—182no—
669C22#6431212yes—
670C22#6431312yes—
671C22C2×#380412yes—
672C22C23×D3211yescharacteristic
673C4—62no—
674C4—62no—
675C4—64no—
676C4—64no—
677C4—62no—
678C4—184no—
679C4—182no—
680C4C2×#380414yes—
681C3—21no—
682C3C2×#555811yescharacteristic, complemented
683C3C2×#561411yescharacteristic, complemented
684C2—44no—
685C2—122no—
686C2—184no—
687C2#1059512214yesdirect product factor
688C2C2×#6431211yescharacteristic
689C2C2×#6431311yescharacteristic
690C2C22×#380411yescharacteristic
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×#64147C2semidirect
2. C2×C3×#938C2semidirect
3. C2×C3×D4×Dic3C2semidirect
4. C2×#63961C2semidirect
5. C2×#63958C2semidirect
6. C2×#63956C2semidirect
7. C2×#63952C2semidirect
8. #10595122C2direct (N × H)
9. C2×C4×#626C2semidirect
10. C2×#63900C2semidirect
11. C2×#63869C2semidirect
12. C2×#63841C2semidirect
24. #64147C22semidirect
28. C3×#938C22semidirect
29. C3×D4×Dic3C22semidirect
38. #63961C22semidirect
41. #63958C22semidirect
42. #63956C22semidirect
44. #63952C22semidirect
45. C4×#626C22semidirect
46. #63900C22semidirect
47. #63869C22semidirect
48. #63841C22semidirect
55. C2×#938D3semidirect
57. C2×D4×Dic3D3semidirect
154. #938C2×D3semidirect
156. D4×Dic3C2×D3semidirect
488. C2×C32#553semidirect
599. C32C2×#553semidirect
645. C2×C3#5558semidirect
646. C2×C3#5614semidirect
682. C3C2×#5558semidirect
683. C3C2×#5614semidirect
687. C2#10595122direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641472
C2×C3×#9382
C2×C3×D4×Dic32
C2×#639612
C2×#639582
C2×#639562
C2×#639522
#105951222
C2×C4×#6262
C2×#639002
C2×#638692
C2×#638412
C2×#56143
C2×#55583