Finite Group Databasebeta

← C2×#10594977 #11901339

Subgroups — C2×#10594977 #11901339

Order 1152.

2833 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64133C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
4C2×#63976C212yesmaximal, complemented
5C2×Dic3×#67C212yesmaximal, complemented
6C2×#63913C212yesmaximal, complemented
7#10594977C2116yesmaximal, direct product factor
8C2×#63891C212yesmaximal, complemented
9C2×#63885C212yesmaximal, complemented
10C2×#63858C212yesmaximal, complemented
11C2×#5617—31nomaximal
12C2×#5494—31nomaximal
13C24×C3×D3C2211yescharacteristic
14C23×C32×C4C2211yescharacteristic
15C22×#634C2211yescharacteristic, complemented
16C22×C3×#67C2212yes—
17C23×C3×Dic3C2211yescharacteristic
18C22×C3×D12C2211yescharacteristic, complemented
19C22×#625C2212yes—
20C22×#625C2212yes—
21C22×D3×Dic3C2212yescomplemented
22C2×#3757C2212yes—
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
24#64133C2218yescomplemented
25C2×#3750C2212yescomplemented
26C3×#930C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yescomplemented
31C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
32#63976C22116yescomplemented
33Dic3×#67C22116yescomplemented
34C2×Dic3⋊Dic3C2212yescomplemented
35C2×(C2×D3)⋊Dic3C2212yes—
36C2×(C2×D3)⋊Dic3C2212yes—
37C2×(C2×D3)⋊Dic3C2212yescomplemented
38C2×Dic32C2212yescomplemented
39#63913C22116yescomplemented
40#63891C22116yescomplemented
41#63885C22116yescomplemented
42#63858C22116yescomplemented
43C2×C3×#121—31no—
44C22×C3×C22⋊C4—31no—
45C2×#953—32no—
46C2×#939—32no—
47C2×#937—32no—
48C2×D4×Dic3—32no—
49C2×#930D311yescharacteristic, complemented
50C2×C4×#67—32no—
51C22×(C2×D3)⋊C4D311yescharacteristic, complemented
52C2×#924—31no—
53C2×#924—31no—
54C2×#924—61no—
55#5617—316no—
56C2×#898—32no—
57#5494—316no—
58C2×#886—32no—
59C2×#885—32no—
60C2×#885—32no—
61C2×#884—32no—
62C2×#883—32no—
63C2×#879—32no—
64C24×C32C2311yescharacteristic
65C23×C3×D3—24no—
66C23×C3×D3—42no—
67C23×C3×D3—42no—
68C23×C3×D3C2312yes—
69C23×C3×D3C2312yes—
70C23×C3×D3C2314yes—
71C22×C32×C4—42no—
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C32×C4C2314yes—
75C22×C3⋊Dic3C2312yes—
76C22×C3⋊Dic3C2312yes—
77C2×#634—42no—
78C2×#634C2314yescomplemented
79C2×C3×#67—28no—
80C2×C3×#67C2318yes—
81C22×C3×Dic3—42no—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2314yes—
85C2×C3×D12—42no—
86C2×C3×D12C2314yescomplemented
87C2×#625—44no—
88C2×#625—44no—
89C2×#625C2318yes—
90C2×#625C2318yes—
91C2×D3×Dic3—44no—
92C2×D3×Dic3C2318yescomplemented
93#3757C2318yes—
94C4⋊(C3⋊Dic3)C2314yescomplemented
95#3750C2318yescomplemented
96C3×(C2×D3)⋊C4C2318yes—
97C3×(C2×D3)⋊C4C2318yes—
98C3×(C2×D3)⋊C4C2318yescomplemented
99C3×C4⋊Dic3C2314yescomplemented
100Dic3⋊Dic3C2318yescomplemented
101(C2×D3)⋊Dic3C2318yes—
102(C2×D3)⋊Dic3C2318yes—
103(C2×D3)⋊Dic3C2318yescomplemented
104Dic32C2318yescomplemented
105C2×#538—91noSylow
106C25×C3—31no—
107C24×D3C2×D311yescharacteristic
108C22×C3×D4—32no—
109C22×C3×D4—31no—
110C23×C3×C4—21no—
111C23×C3×C4—31no—
112C23×C3×C4C2×D311yescharacteristic
113C23×C3×C4C2×D311yescharacteristic
114C22×#67—32no—
115C22×#67—32no—
116C22×#67—32no—
117C22×#67—32no—
118C22×#67C2×D312yes—
119C23×Dic3—32no—
120C23×Dic3C2×D311yescharacteristic
121C22×D12C2×D311yescharacteristic, complemented
122C22×C4×D3—32no—
123C22×Dic6—31no—
124C22×Dic6—31no—
125C22×Dic6—61no—
126C3×#121—38no—
127C2×C3×C4⋊C4—31no—
128C2×C3×C22⋊C4—32no—
129C2×C3×C22⋊C4—32no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—38no—
132#953—316no—
133C2×#217—32no—
134C2×#217—32no—
135C2×#217—32no—
136C2×#217—32no—
137C2×#217—32no—
138C2×#217—62no—
139#939—316no—
140#937—316no—
141D4×Dic3—316no—
142#930C2×D318yescomplemented
143C4×#67—316no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4C2×D312yes—
148C2×(C2×D3)⋊C4C2×D312yes—
149C2×(C2×D3)⋊C4C2×D318yescomplemented
150C2×(C2×D3)⋊C4C2×D312yescomplemented
151C2×C4⋊Dic3—31no—
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—32no—
154C2×C4⋊Dic3—61no—
155C2×C4⋊Dic3C2×D311yescharacteristic, complemented
156#924—38no—
157#924—38no—
158#924—68no—
159C2×Dic3⋊C4—32no—
160C2×Dic3⋊C4—32no—
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4—62no—
163C2×C4×Dic3—32no—
164C2×C4×Dic3—32no—
165#898—316no—
166#886—316no—
167#885—316no—
168#885—316no—
169#884—316no—
170#883—316no—
171#879—316no—
172C23×C32—22no—
173C23×C32—22no—
174C23×C32#4114yes—
175C23×C32C2412yes—
176C23×C32C2411yescharacteristic
177C22×C3×D3—28no—
178C22×C3×D3—24no—
179C22×C3×D3—24no—
180C22×C3×D3—24no—
181C22×C3×D3—24no—
182C22×C3×D3—24no—
183C22×C3×D3—24no—
184C22×C3×D3—44no—
185C22×C3×D3—44no—
186C22×C3×D3—416no—
187C22×C3×D3C2414yes—
188C22×C3×D3C2414yes—
189C2×C32×C4—22no—
190C2×C32×C4—22no—
191C2×C32×C4—44no—
192C2×C32×C4C2412yes—
193C2×C32×C4C2412yes—
194C2×C3⋊Dic3—24no—
195C2×C3⋊Dic3—24no—
196C2×C3⋊Dic3C2414yes—
197C2×C3⋊Dic3C2414yes—
198#634—44no—
199C3×#67—216no—
200C2×C3×Dic3—24no—
201C2×C3×Dic3—24no—
202C2×C3×Dic3—44no—
203C2×C3×Dic3C2414yes—
204C2×C3×Dic3C2414yes—
205C3×D12—44no—
206#625—48no—
207#625—48no—
208D3×Dic3—48no—
209#538—916no—
210C2×#126—92no—
211C2×#124—92no—
212C2×#123—92no—
213C2×C22⋊Q8—91no—
214C2×#121—31no—
215C2×#121—92no—
216C2×#120—92no—
217C2×C4×D4—92no—
218C22×C22⋊C4—31no—
219C24×C3—21no—
220C24×C3—32no—
221C24×C3—32no—
222C24×C3—34no—
223C24×C3—64no—
224C24×C3—122no—
225C24×C3—122no—
226C24×C3C22×D311yescharacteristic
227C24×C3C22×D311yescharacteristic
228C23×D3—24no—
229C23×D3—42no—
230C23×D3—42no—
231C23×D3C22×D312yes—
232C23×D3C22×D312yes—
233C23×D3C22×D314yes—
234C2×C3×D4—38no—
235C2×C3×D4—34no—
236C2×C3×D4—68no—
237C2×C3×D4—122no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—24no—
241C22×C3×C4—32no—
242C22×C3×C4—32no—
243C22×C3×C4—34no—
244C22×C3×C4—42no—
245C22×C3×C4—42no—
246C22×C3×C4—44no—
247C22×C3×C4—122no—
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C22×D314yes—
253C22×C3×C4C22×D314yes—
254C2×#67—28no—
255C2×#67—38no—
256C2×#67—38no—
257C2×#67—38no—
258C2×#67—38no—
259C2×#67—124no—
260C2×#67—124no—
261C2×#67—124no—
262C2×#67—124no—
263C2×#67C22×D318yes—
264C22×Dic3—32no—
265C22×Dic3—32no—
266C22×Dic3—32no—
267C22×Dic3—32no—
268C22×Dic3—38no—
269C22×Dic3—42no—
270C22×Dic3—62no—
271C22×Dic3—62no—
272C22×Dic3—124no—
273C22×Dic3C22×D312yes—
274C22×Dic3C22×D312yes—
275C22×Dic3C22×D314yes—
276C2×D12—42no—
277C2×D12C22×D314yescomplemented
278C2×C4×D3—38no—
279C2×C4×D3—124no—
280C2×Dic6—34no—
281C2×Dic6—34no—
282C2×Dic6—64no—
283C2×Dic6—122no—
284C2×Dic6—122no—
285C2×Dic6—124no—
286C3×C4⋊C4—34no—
287C3×C22⋊C4—38no—
288C3×C22⋊C4—38no—
289C3×C22⋊C4—38no—
290#217—38no—
291#217—38no—
292#217—38no—
293#217—38no—
294#217—38no—
295#217—68no—
296(C2×D3)⋊C4—38no—
297(C2×D3)⋊C4—38no—
298(C2×D3)⋊C4—38no—
299(C2×D3)⋊C4C22×D318yes—
300(C2×D3)⋊C4C22×D318yes—
301(C2×D3)⋊C4C22×D318yescomplemented
302C4⋊Dic3—34no—
303C4⋊Dic3—34no—
304C4⋊Dic3—38no—
305C4⋊Dic3—64no—
306C4⋊Dic3C22×D314yescomplemented
307Dic3⋊C4—38no—
308Dic3⋊C4—38no—
309Dic3⋊C4—38no—
310Dic3⋊C4—68no—
311C4×Dic3—38no—
312C4×Dic3—38no—
313C22×C32—28no—
314C22×C32—22no—
315C22×C32—22no—
316C22×C32C2×#4114yes—
317C22×C32C2×#4112yes—
318C22×C32H(5,𝔽2)12yes—
319C22×C32H(5,𝔽2)12yes—
320C22×C32C2511yescharacteristic
321C2×C3×D3—24no—
322C2×C3×D3—24no—
323C2×C3×D3—24no—
324C2×C3×D3—24no—
325C2×C3×D3—24no—
326C2×C3×D3—24no—
327C2×C3×D3—416no—
328C2×C3×D3—48no—
329C2×C3×D3—48no—
330C32×C4—22no—
331C32×C4—22no—
332C3⋊Dic3—24no—
333C3⋊Dic3—24no—
334C3×Dic3—24no—
335C3×Dic3—24no—
336C25—31no—
337C22×Q8—91no—
338C22×D4—32no—
339C22×D4—31no—
340C22×D4—92no—
341C22×D4—92no—
342C23×C4—31no—
343C23×C4—92no—
344C23×C4D3211yescharacteristic
345#126—916no—
346#124—916no—
347#123—916no—
348C22⋊Q8—98no—
349#121—38no—
350#121—916no—
351#120—916no—
352C4×D4—916no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—92no—
355C2×C4⋊C4—92no—
356C2×C4⋊C4—91no—
357C2×C22⋊C4—32no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4—38no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—92no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—92no—
365C2×C42—92no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—21no—
372C23×C3—24no—
373C23×C3—34no—
374C23×C3—34no—
375C23×C3—42no—
376C23×C3—42no—
377C23×C3—64no—
378C23×C3—68no—
379C23×C3—64no—
380C23×C3—64no—
381C23×C3—64no—
382C23×C3—64no—
383C23×C3—64no—
384C23×C3—124no—
385C23×C3—124no—
386C23×C3—1216no—
387C23×C3#23514yes—
388C23×C3#23714yes—
389C23×C3C23×D312yes—
390C23×C3C23×D312yes—
391C23×C3C23×D311yescharacteristic
392C23×C3C23×D311yescharacteristic
393C22×D3—28no—
394C22×D3—24no—
395C22×D3—24no—
396C22×D3—24no—
397C22×D3—24no—
398C22×D3—24no—
399C22×D3—24no—
400C22×D3—44no—
401C22×D3—44no—
402C22×D3—416no—
403C22×D3C23×D314yes—
404C22×D3C23×D314yes—
405C3×D4—616no—
406C3×D4—124no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—34no—
415C2×C3×C4—34no—
416C2×C3×C4—42no—
417C2×C3×C4—44no—
418C2×C3×C4—44no—
419C2×C3×C4—48no—
420C2×C3×C4—64no—
421C2×C3×C4—64no—
422C2×C3×C4—124no—
423C2×C3×C4C23×D312yes—
424C2×C3×C4C23×D312yes—
425C2×C3×C4C23×D312yes—
426C2×C3×C4C23×D312yes—
427#67—216no—
428#67—128no—
429#67—128no—
430#67—128no—
431#67—128no—
432C2×Dic3—24no—
433C2×Dic3—24no—
434C2×Dic3—34no—
435C2×Dic3—34no—
436C2×Dic3—34no—
437C2×Dic3—34no—
438C2×Dic3—44no—
439C2×Dic3—64no—
440C2×Dic3—64no—
441C2×Dic3—64no—
442C2×Dic3—64no—
443C2×Dic3—64no—
444C2×Dic3—64no—
445C2×Dic3—124no—
446C2×Dic3—124no—
447C2×Dic3—128no—
448C2×Dic3C23×D314yes—
449C2×Dic3C23×D314yes—
450D12—44no—
451C4×D3—128no—
452Dic6—124no—
453Dic6—124no—
454Dic6—128no—
455C2×C32—24no—
456C2×C32#53814yescomplemented
457C2×C32C22×#4111yescharacteristic
458C2×C32C2×H(5,𝔽2)11yescharacteristic
459C2×C32C2×H(5,𝔽2)11yescharacteristic
460C3×D3—44no—
461C3×D3—44no—
462C24—32no—
463C24—32no—
464C24—34no—
465C24—64no—
466C24—122no—
467C24—122no—
468C24C2×D3211yescharacteristic
469C2×Q8—94no—
470C2×Q8—362no—
471C2×D4—38no—
472C2×D4—34no—
473C2×D4—68no—
474C2×D4—98no—
475C2×D4—98no—
476C2×D4—122no—
477C2×D4—364no—
478C2×D4—364no—
479C22×C4—32no—
480C22×C4—32no—
481C22×C4—34no—
482C22×C4—42no—
483C22×C4—98no—
484C22×C4—92no—
485C22×C4—92no—
486C22×C4—122no—
487C22×C4—364no—
488C22×C4C2×D3211yescharacteristic
489C22×C4C2×D3211yescharacteristic
490C22×C4C2×D3214yes—
491C4⋊C4—34no—
492C4⋊C4—98no—
493C4⋊C4—98no—
494C4⋊C4—94no—
495C22⋊C4—38no—
496C22⋊C4—38no—
497C22⋊C4—38no—
498C22⋊C4—98no—
499C22⋊C4—98no—
500C22⋊C4—98no—
501C22⋊C4—98no—
502C42—98no—
503C22×C3—22no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—28no—
508C22×C3—28no—
509C22×C3—22no—
510C22×C3—24no—
511C22×C3—22no—
512C22×C3—22no—
513C22×C3—21no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—48no—
517C22×C3—64no—
518C22×C3—64no—
519C22×C3—64no—
520C22×C3—64no—
521C22×C3—64no—
522C22×C3—64no—
523C22×C3—1216no—
524C22×C3—128no—
525C22×C3—128no—
526C22×C3C2×#23514yes—
527C22×C3C2×#23512yes—
528C22×C3C2×#23714yes—
529C22×C3C2×#23712yes—
530C22×C3#100412yes—
531C22×C3#100412yes—
532C22×C3#100412yes—
533C22×C3#100912yes—
534C22×C3C24×D311yescharacteristic
535C22×C3C24×D311yescharacteristic
536C2×D3—24no—
537C2×D3—24no—
538C2×D3—24no—
539C2×D3—24no—
540C2×D3—24no—
541C2×D3—24no—
542C2×D3—416no—
543C2×D3—48no—
544C2×D3—48no—
545C3×C4—24no—
546C3×C4—22no—
547C3×C4—22no—
548C3×C4—22no—
549C3×C4—22no—
550C3×C4—42no—
551C3×C4—64no—
552C3×C4—64no—
553Dic3—24no—
554Dic3—24no—
555Dic3—64no—
556Dic3—64no—
557Dic3—64no—
558Dic3—64no—
559Dic3—124no—
560Dic3—124no—
561C32C2×#53811yescharacteristic, complemented, Sylow
562C23—22no—
563C23—22no—
564C23—34no—
565C23—34no—
566C23—64no—
567C23—68no—
568C23—64no—
569C23—64no—
570C23—64no—
571C23—64no—
572C23—64no—
573C23—124no—
574C23—124no—
575C23—1216no—
576C23#379514yes—
577C23C22×D3212yes—
578C23C22×D3211yescharacteristic
579Q8—364no—
580D4—616no—
581D4—124no—
582D4—368no—
583D4—368no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—34no—
587C2×C4—34no—
588C2×C4—44no—
589C2×C4—64no—
590C2×C4—64no—
591C2×C4—94no—
592C2×C4—94no—
593C2×C4—124no—
594C2×C4—184no—
595C2×C4—184no—
596C2×C4—368no—
597C2×C4C22×D3212yes—
598C2×C4C22×D3212yes—
599C2×C3—24no—
600C2×C3—24no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—24no—
605C2×C3—44no—
606C2×C3—124no—
607C2×C3—124no—
608C2×C3#549414yescomplemented
609C2×C3#561714yescomplemented
610C2×C3C22×#23511yescharacteristic
611C2×C3C22×#23711yescharacteristic
612C2×C3C2×#100411yescharacteristic
613C2×C3C2×#100411yescharacteristic
614C2×C3C2×#100411yescharacteristic
615C2×C3C2×#100911yescharacteristic
616D3—44no—
617D3—44no—
618C22—22no—
619C22—22no—
620C22—28no—
621C22—64no—
622C22—64no—
623C22—64no—
624C22—64no—
625C22—64no—
626C22—64no—
627C22—1216no—
628C22—128no—
629C22—128no—
630C22C2×#379514yes—
631C22C2×#379512yes—
632C22#6430712yes—
633C22#6433012yes—
634C22C23×D3211yescharacteristic
635C4—22no—
636C4—22no—
637C4—64no—
638C4—64no—
639C4—184no—
640C4—184no—
641C3—21no—
642C3C2×#549411yescharacteristic, complemented
643C3C2×#561711yescharacteristic, complemented
644C2—24no—
645C2—124no—
646C2—124no—
647C2#1059497714yesdirect product factor
648C2C22×#379511yescharacteristic
649C2C2×#6430711yescharacteristic
650C2C2×#6433011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#538
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×#64133C2semidirect
2. C2×C3×#930C2semidirect
3. C22×C3×(C2×D3)⋊C4C2semidirect
4. C2×#63976C2semidirect
5. C2×Dic3×#67C2semidirect
6. C2×#63913C2semidirect
7. #10594977C2direct (N × H)
8. C2×#63891C2semidirect
9. C2×#63885C2semidirect
10. C2×#63858C2semidirect
15. C22×#634C22semidirect
18. C22×C3×D12C22semidirect
21. C22×D3×Dic3C22semidirect
23. C2×C4⋊(C3⋊Dic3)C22semidirect
24. #64133C22semidirect
25. C2×#3750C22semidirect
26. C3×#930C22semidirect
29. C2×C3×(C2×D3)⋊C4C22semidirect
30. C2×C3×(C2×D3)⋊C4C22semidirect
31. C2×C3×C4⋊Dic3C22semidirect
32. #63976C22semidirect
33. Dic3×#67C22semidirect
34. C2×Dic3⋊Dic3C22semidirect
37. C2×(C2×D3)⋊Dic3C22semidirect
38. C2×Dic32C22semidirect
39. #63913C22semidirect
40. #63891C22semidirect
41. #63885C22semidirect
42. #63858C22semidirect
49. C2×#930D3semidirect
51. C22×(C2×D3)⋊C4D3semidirect
78. C2×#634C23semidirect
86. C2×C3×D12C23semidirect
92. C2×D3×Dic3C23semidirect
94. C4⋊(C3⋊Dic3)C23semidirect
95. #3750C23semidirect
98. C3×(C2×D3)⋊C4C23semidirect
99. C3×C4⋊Dic3C23semidirect
100. Dic3⋊Dic3C23semidirect
103. (C2×D3)⋊Dic3C23semidirect
104. Dic32C23semidirect
121. C22×D12C2×D3semidirect
142. #930C2×D3semidirect
149. C2×(C2×D3)⋊C4C2×D3semidirect
150. C2×(C2×D3)⋊C4C2×D3semidirect
155. C2×C4⋊Dic3C2×D3semidirect
277. C2×D12C22×D3semidirect
301. (C2×D3)⋊C4C22×D3semidirect
306. C4⋊Dic3C22×D3semidirect
456. C2×C32#538semidirect
561. C32C2×#538semidirect
608. C2×C3#5494semidirect
609. C2×C3#5617semidirect
642. C3C2×#5494semidirect
643. C3C2×#5617semidirect
647. C2#10594977direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641332
C2×C3×#9302
C22×C3×(C2×D3)⋊C42
C2×#639762
C2×Dic3×#672
C2×#639132
#105949772
C2×#638912
C2×#638852
C2×#638582
C2×#56173
C2×#54943