Finite Group Databasebeta

← C2×#10591530 #11865262

Subgroups — C2×#10591530 #11865262

Order 1152.

2141 conjugacy classes of subgroups.

The subgroup lattice has 727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1004C211yesmaximal, characteristic, complemented
2C2×C3×#937C211yesmaximal, characteristic, complemented
3C2×#63976C212yesmaximal, complemented
4C2×#63661C211yesmaximal, characteristic, complemented
5C2×#63580C212yesmaximal, complemented
6#10591530C218yesmaximal, direct product factor
7C2×#5244—31nomaximal
8C2×#5032—31nomaximal
9C24×C3×D3C2211yescharacteristic, complemented
10C22×C32×D4C2211yescharacteristic
11C22×C3×#67—21no—
12C22×C3×#67—21no—
13C22×C3×#67C2212yes—
14C3×#1004—22no—
15C3×#1004—24no—
16C3×#1004C2214yescomplemented
17C2×C3×#237—22no—
18C2×C3×D3×D4—22no—
19C2×C3×#235—21no—
20C22×#625—22no—
21C2×#3757C2212yescomplemented
22C2×C3×#217C2211yescharacteristic, complemented
23C3×#937—22no—
24C3×#937C2214yescomplemented
25C2×C3×(C2×D3)⋊C4—21no—
26#63976—24no—
27#63976C2218yescomplemented
28C2×(C2×D3)⋊Dic3—22no—
29#63661C2214yescomplemented
30#63580C2218yescomplemented
31C2×C3×H(5,𝔽2)—31no—
32C2×#1004D311yescharacteristic, complemented
33C2×C3×#120—31no—
34C2×#953—32no—
35C2×#937—32no—
36C2×#937D311yescharacteristic, complemented
37#5244—38no—
38C2×#834—31no—
39C2×#834—31no—
40C2×#834—32no—
41C2×#834—61no—
42#5032—38no—
43C2×#806—32no—
44C24×C32D411yescharacteristic, complemented
45C24×C32C2311yescharacteristic
46C23×C3×D3—21no—
47C23×C3×D3—22no—
48C23×C3×D3—21no—
49C23×C3×D3—21no—
50C23×C3×D3—22no—
51C23×C3×D3—44no—
52C23×C3×D3D412yescomplemented
53C23×C3×D3C2312yescomplemented
54C2×C32×D4—22no—
55C2×C32×D4—22no—
56C2×C32×D4D412yescomplemented
57C2×C32×D4C2312yes—
58C22×C32×C4D411yescharacteristic, complemented
59C22×C3⋊Dic3—22no—
60C2×C3×#67—22no—
61C2×C3×#67—24no—
62C2×C3×#67—22no—
63C2×C3×#67—22no—
64C2×C3×#67—22no—
65C2×C3×#67—22no—
66C2×C3×#67—24no—
67C2×C3×#67—24no—
68C2×C3×#67—44no—
69C2×C3×#67D414yescomplemented
70C2×C3×#67C2314yes—
71C22×C3×Dic3—21no—
72C22×C3×Dic3—21no—
73C22×C3×Dic3D412yescomplemented
74C3×#237—28no—
75C3×#237—28no—
76C3×D3×D4—28no—
77C3×D3×D4—28no—
78C3×#235—24no—
79C3×#235—24no—
80C2×C3×D12—21no—
81C2×C3×C4×D3—22no—
82C2×C3×Dic6—21no—
83C2×#625—28no—
84C2×#625—48no—
85#3757—22no—
86#3757C2314yescomplemented
87C3×#217—21no—
88C3×#217C2312yescomplemented
89C3×(C2×D3)⋊C4—24no—
90(C2×D3)⋊Dic3—28no—
91C2×B(4,𝔽2)—91noSylow
92C25×C3—31no—
93C24×D3C2×D311yescharacteristic, complemented
94C3×H(5,𝔽2)—34no—
95C3×H(5,𝔽2)—64no—
96C3×H(5,𝔽2)—62no—
97C2×C3×#41—62no—
98C2×C3×#41—61no—
99C22×C3×D4—21no—
100C22×C3×D4—32no—
101C22×C3×D4—62no—
102C22×C3×D4—61no—
103C22×C3×D4—61no—
104C22×C3×D4C2×D311yescharacteristic
105C22×C3×D4C2×D311yescharacteristic
106C22×#67—21no—
107C22×#67—21no—
108C22×#67—62no—
109C22×#67—62no—
110C22×#67C2×D312yes—
111#1004—22no—
112#1004—24no—
113#1004C2×D314yescomplemented
114C2×#237—22no—
115C2×D3×D4—22no—
116C2×#235—21no—
117C3×#120—34no—
118C3×#120—62no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—61no—
121#953—38no—
122#953—64no—
123C2×#217—32no—
124C2×#217—32no—
125C2×#217—62no—
126C2×#217—62no—
127C2×#217C2×D311yescharacteristic, complemented
128#937—22no—
129#937—38no—
130#937—64no—
131#937C2×D314yescomplemented
132C2×(C2×D3)⋊C4—21no—
133C2×(C2×D3)⋊C4—62no—
134#834—34no—
135#834—34no—
136#834—38no—
137#834—64no—
138#806—38no—
139C23×C32—21no—
140C23×C32—21no—
141C23×C32—42no—
142C23×C32—42no—
143C23×C32C2×D412yes—
144C23×C32C2×D412yes—
145C23×C32C2×D411yescharacteristic
146C23×C32C2×D411yescharacteristic
147C23×C32C2×D412yescomplemented
148C23×C32C2411yescharacteristic
149C22×C3×D3—28no—
150C22×C3×D3—24no—
151C22×C3×D3—22no—
152C22×C3×D3—24no—
153C22×C3×D3—22no—
154C22×C3×D3—24no—
155C22×C3×D3—22no—
156C22×C3×D3—44no—
157C22×C3×D3—48no—
158C22×C3×D3—44no—
159C22×C3×D3—42no—
160C22×C3×D3—44no—
161C22×C3×D3—42no—
162C22×C3×D3—41no—
163C22×C3×D3—41no—
164C22×C3×D3—44no—
165C22×C3×D3—82no—
166C22×C3×D3C2×D414yescomplemented
167C32×D4—24no—
168C32×D4—24no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4C2×D412yescomplemented
172C2×C3⋊Dic3—24no—
173C2×C3⋊Dic3—44no—
174C3×#67—28no—
175C3×#67—24no—
176C3×#67—24no—
177C3×#67—24no—
178C3×#67—24no—
179C3×#67—48no—
180C2×C3×Dic3—24no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—42no—
185C2×C3×Dic3C2×D414yescomplemented
186C3×D12—24no—
187C3×C4×D3—28no—
188C3×Dic6—24no—
189#625—416no—
190C2×H(5,𝔽2)—31no—
191C2×#120—31no—
192C2×#120—92no—
193B(4,𝔽2)—98no—
194C2×#99—92no—
195C2×#99—91no—
196C24×C3—21no—
197C24×C3—21no—
198C24×C3—32no—
199C24×C3—32no—
200C24×C3—61no—
201C24×C3—62no—
202C24×C3—61no—
203C24×C3—62no—
204C24×C3—61no—
205C24×C3—124no—
206C24×C3#6711yescharacteristic, complemented
207C24×C3#6711yescharacteristic, complemented
208C24×C3C22×D311yescharacteristic
209C24×C3C22×D311yescharacteristic
210C23×D3—22no—
211C23×D3—21no—
212C23×D3—21no—
213C23×D3—22no—
214C23×D3—21no—
215C23×D3—44no—
216C23×D3#6712yescomplemented
217C23×D3C22×D312yescomplemented
218C3×#41—64no—
219C3×#41—68no—
220C3×#41—68no—
221C3×#41—64no—
222C2×C3×Q8—61no—
223C2×C3×D4—22no—
224C2×C3×D4—22no—
225C2×C3×D4—22no—
226C2×C3×D4—22no—
227C2×C3×D4—22no—
228C2×C3×D4—22no—
229C2×C3×D4—34no—
230C2×C3×D4—34no—
231C2×C3×D4—42no—
232C2×C3×D4—42no—
233C2×C3×D4—61no—
234C2×C3×D4—68no—
235C2×C3×D4—68no—
236C2×C3×D4—62no—
237C2×C3×D4—64no—
238C2×C3×D4—62no—
239C2×C3×D4—62no—
240C2×C3×D4—62no—
241C2×C3×D4—62no—
242C2×C3×D4—64no—
243C2×C3×D4—64no—
244C2×C3×D4—124no—
245C2×C3×D4#6712yescomplemented
246C2×C3×D4#6712yescomplemented
247C2×C3×D4C22×D312yes—
248C2×C3×D4C22×D312yes—
249C22×C3×C4—21no—
250C22×C3×C4—32no—
251C22×C3×C4—62no—
252C22×C3×C4—61no—
253C22×C3×C4—61no—
254C22×C3×C4#6711yescharacteristic, complemented
255C22×C3×C4#6711yescharacteristic, complemented
256C2×#67—22no—
257C2×#67—24no—
258C2×#67—22no—
259C2×#67—22no—
260C2×#67—22no—
261C2×#67—22no—
262C2×#67—24no—
263C2×#67—24no—
264C2×#67—44no—
265C2×#67—68no—
266C2×#67—68no—
267C2×#67—128no—
268C2×#67—128no—
269C2×#67#6714yescomplemented
270C2×#67C22×D314yes—
271C22×Dic3—21no—
272C22×Dic3—21no—
273C22×Dic3—62no—
274C22×Dic3—62no—
275C22×Dic3—122no—
276C22×Dic3#6712yescomplemented
277#237—28no—
278#237—28no—
279D3×D4—28no—
280D3×D4—28no—
281#235—24no—
282#235—24no—
283C2×D12—21no—
284C2×C4×D3—22no—
285C2×Dic6—21no—
286C3×C22⋊C4—32no—
287C3×C22⋊C4—61no—
288C3×C22⋊C4—64no—
289#217—21no—
290#217—34no—
291#217—34no—
292#217—64no—
293#217—62no—
294#217—62no—
295#217—68no—
296#217—122no—
297#217C22×D312yescomplemented
298(C2×D3)⋊C4—24no—
299(C2×D3)⋊C4—68no—
300C22×C32—22no—
301C22×C32—24no—
302C22×C32—22no—
303C22×C32—42no—
304C22×C32—41no—
305C22×C32—41no—
306C22×C32—42no—
307C22×C32—42no—
308C22×C32—81no—
309C22×C32#12012yes—
310C22×C32#12011yescharacteristic
311C22×C32#12011yescharacteristic
312C22×C32C22×D412yes—
313C22×C32C22×D411yescharacteristic
314C2×C3×D3—28no—
315C2×C3×D3—24no—
316C2×C3×D3—24no—
317C2×C3×D3—42no—
318C2×C3×D3—44no—
319C2×C3×D3—48no—
320C2×C3×D3—44no—
321C2×C3×D3—42no—
322C2×C3×D3—44no—
323C2×C3×D3—44no—
324C2×C3×D3—44no—
325C2×C3×D3—82no—
326C2×C3×D3—84no—
327C32×C4—22no—
328C3⋊Dic3—44no—
329C3×Dic3—24no—
330C3×Dic3—42no—
331C25—31no—
332H(5,𝔽2)—34no—
333H(5,𝔽2)—64no—
334H(5,𝔽2)—62no—
335C2×#41—62no—
336C2×#41—61no—
337C22×D4—32no—
338C22×D4—62no—
339C22×D4—61no—
340C22×D4—61no—
341C22×D4—182no—
342C22×D4D3211yescharacteristic
343#120—34no—
344#120—62no—
345#120—98no—
346#120—184no—
347C2×C22⋊C4—31no—
348C2×C22⋊C4—61no—
349C2×C22⋊C4—92no—
350C2×C22⋊C4—182no—
351#99—98no—
352#99—94no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—22no—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—34no—
364C23×C3—41no—
365C23×C3—41no—
366C23×C3—42no—
367C23×C3—42no—
368C23×C3—42no—
369C23×C3—42no—
370C23×C3—68no—
371C23×C3—64no—
372C23×C3—64no—
373C23×C3—62no—
374C23×C3—64no—
375C23×C3—62no—
376C23×C3—62no—
377C23×C3—82no—
378C23×C3—82no—
379C23×C3—124no—
380C23×C3—122no—
381C23×C3—124no—
382C23×C3—124no—
383C23×C3—128no—
384C23×C3—124no—
385C23×C3—122no—
386C23×C3—121no—
387C23×C3—121no—
388C23×C3—242no—
389C23×C3D3×D412yes—
390C23×C3D3×D412yes—
391C23×C3C2×#6711yescharacteristic
392C23×C3C2×#6711yescharacteristic
393C23×C3C2×#6711yescharacteristic
394C23×C3C2×#6711yescharacteristic
395C23×C3C2×#6712yes—
396C23×C3C2×#6712yes—
397C23×C3C2×#6712yescomplemented
398C23×C3C2×#6712yescomplemented
399C23×C3C23×D311yescharacteristic
400C23×C3C23×D311yescharacteristic
401C22×D3—24no—
402C22×D3—28no—
403C22×D3—22no—
404C22×D3—24no—
405C22×D3—22no—
406C22×D3—24no—
407C22×D3—22no—
408C22×D3—44no—
409C22×D3—44no—
410C22×D3—48no—
411C22×D3—42no—
412C22×D3—44no—
413C22×D3—41no—
414C22×D3—42no—
415C22×D3—41no—
416C22×D3—44no—
417C22×D3—82no—
418C22×D3C2×#6714yescomplemented
419C3×Q8—64no—
420C3×D4—24no—
421C3×D4—24no—
422C3×D4—24no—
423C3×D4—24no—
424C3×D4—44no—
425C3×D4—44no—
426C3×D4—64no—
427C3×D4—68no—
428C3×D4—64no—
429C3×D4—64no—
430C3×D4—64no—
431C3×D4—64no—
432C3×D4—128no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—22no—
438C2×C3×C4—34no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—68no—
442C2×C3×C4—64no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—122no—
447C2×C3×C4C2×#6712yescomplemented
448C2×C3×C4C2×#6712yescomplemented
449#67—28no—
450#67—24no—
451#67—24no—
452#67—24no—
453#67—24no—
454#67—48no—
455#67—1216no—
456#67—1216no—
457C2×Dic3—24no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—42no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464C2×Dic3—124no—
465C2×Dic3—124no—
466C2×Dic3—124no—
467C2×Dic3—244no—
468C2×Dic3C2×#6714yescomplemented
469D12—24no—
470C4×D3—28no—
471Dic6—24no—
472C2×C32—21no—
473C2×C32—22no—
474C2×C32—22no—
475C2×C32—21no—
476C2×C32—42no—
477C2×C32B(4,𝔽2)12yescomplemented
478C2×C32C2×#12011yescharacteristic
479C3×D3—44no—
480C3×D3—44no—
481C24—32no—
482C24—32no—
483C24—61no—
484C24—61no—
485C24—62no—
486C24—61no—
487C24—62no—
488C24—124no—
489C24#62511yescharacteristic, complemented
490C24C2×D3211yescharacteristic
491#41—64no—
492#41—68no—
493#41—68no—
494#41—64no—
495C2×Q8—61no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—34no—
499C2×D4—34no—
500C2×D4—61no—
501C2×D4—68no—
502C2×D4—68no—
503C2×D4—62no—
504C2×D4—64no—
505C2×D4—62no—
506C2×D4—62no—
507C2×D4—64no—
508C2×D4—62no—
509C2×D4—62no—
510C2×D4—64no—
511C2×D4—124no—
512C2×D4—188no—
513C2×D4—368no—
514C2×D4#62512yescomplemented
515C2×D4C2×D3212yes—
516C22×C4—32no—
517C22×C4—62no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—182no—
521C22×C4#62511yescharacteristic, complemented
522C22⋊C4—32no—
523C22⋊C4—61no—
524C22⋊C4—64no—
525C22⋊C4—94no—
526C22⋊C4—188no—
527C22⋊C4—182no—
528C22×C3—24no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—24no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—21no—
535C22×C3—22no—
536C22×C3—21no—
537C22×C3—22no—
538C22×C3—21no—
539C22×C3—44no—
540C22×C3—42no—
541C22×C3—42no—
542C22×C3—42no—
543C22×C3—41no—
544C22×C3—41no—
545C22×C3—41no—
546C22×C3—42no—
547C22×C3—41no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—68no—
553C22×C3—64no—
554C22×C3—64no—
555C22×C3—82no—
556C22×C3—81no—
557C22×C3—81no—
558C22×C3—82no—
559C22×C3—82no—
560C22×C3—81no—
561C22×C3—81no—
562C22×C3—82no—
563C22×C3—124no—
564C22×C3—124no—
565C22×C3—122no—
566C22×C3—128no—
567C22×C3—124no—
568C22×C3—124no—
569C22×C3—124no—
570C22×C3—122no—
571C22×C3—242no—
572C22×C3—244no—
573C22×C3#93711yescharacteristic
574C22×C3#93712yes—
575C22×C3#93711yescharacteristic
576C22×C3#95312yes—
577C22×C3#95311yescharacteristic
578C22×C3#95311yescharacteristic
579C22×C3C2×D3×D412yes—
580C22×C3C22×#6711yescharacteristic
581C22×C3C22×#6711yescharacteristic
582C22×C3C22×#6712yes—
583C2×D3—24no—
584C2×D3—28no—
585C2×D3—24no—
586C2×D3—42no—
587C2×D3—44no—
588C2×D3—44no—
589C2×D3—48no—
590C2×D3—44no—
591C2×D3—42no—
592C2×D3—44no—
593C2×D3—44no—
594C2×D3—82no—
595C2×D3—84no—
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—42no—
599C3×C4—64no—
600C3×C4—122no—
601Dic3—24no—
602Dic3—42no—
603Dic3—124no—
604Dic3—124no—
605Dic3—244no—
606C32C2×B(4,𝔽2)11yescharacteristic, complemented, Sylow
607C23—21no—
608C23—21no—
609C23—34no—
610C23—42no—
611C23—42no—
612C23—64no—
613C23—68no—
614C23—64no—
615C23—62no—
616C23—64no—
617C23—62no—
618C23—62no—
619C23—122no—
620C23—124no—
621C23—124no—
622C23—124no—
623C23—124no—
624C23—128no—
625C23—121no—
626C23—122no—
627C23—121no—
628C23—242no—
629C23C2×#62511yescharacteristic
630C23C2×#62511yescharacteristic
631C23C2×#62512yescomplemented
632C23D3×#6712yes—
633C23D3×#6712yes—
634C23C22×D3211yescharacteristic
635Q8—64no—
636D4—24no—
637D4—24no—
638D4—64no—
639D4—68no—
640D4—64no—
641D4—64no—
642D4—64no—
643D4—64no—
644D4—128no—
645D4—3616no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—34no—
649C2×C4—68no—
650C2×C4—64no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—122no—
655C2×C4—184no—
656C2×C4—364no—
657C2×C4C2×#62512yescomplemented
658C2×C3—22no—
659C2×C3—21no—
660C2×C3—22no—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—22no—
664C2×C3—21no—
665C2×C3—22no—
666C2×C3—22no—
667C2×C3—21no—
668C2×C3—42no—
669C2×C3—41no—
670C2×C3—41no—
671C2×C3—42no—
672C2×C3—42no—
673C2×C3—42no—
674C2×C3—82no—
675C2×C3—124no—
676C2×C3—124no—
677C2×C3#503212yescomplemented
678C2×C3#524412yescomplemented
679C2×C3C2×#93711yescharacteristic
680C2×C3C2×#95311yescharacteristic
681D3—44no—
682D3—44no—
683C22—22no—
684C22—24no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—64no—
692C22—68no—
693C22—64no—
694C22—81no—
695C22—124no—
696C22—122no—
697C22—124no—
698C22—124no—
699C22—128no—
700C22—124no—
701C22—124no—
702C22—122no—
703C22—242no—
704C22—244no—
705C22#6397611yescharacteristic
706C22#6397612yes—
707C22#6397611yescharacteristic
708C22C22×#62511yescharacteristic
709C22C2×D3×#6712yes—
710C4—22no—
711C4—64no—
712C4—122no—
713C4—364no—
714C3—21no—
715C3C2×#503211yescharacteristic, complemented
716C3C2×#524411yescharacteristic, complemented
717C2—21no—
718C2—22no—
719C2—21no—
720C2—22no—
721C2—42no—
722C2—124no—
723C2—124no—
724C2#1059153012yesdirect product factor
725C2C2×#6397611yescharacteristic
subgroupG/H
centerC22#63976
commutator, cosocleC23×C32C24
FrattiniC23C22×D32
FittingC22×C32×D4C22
socleC22×C32#120
hypercenterC22×D4D32
hypocenterC32C2×B(4,𝔽2)
LCSG ▷ C23×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C24 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1004C2semidirect
2. C2×C3×#937C2semidirect
3. C2×#63976C2semidirect
4. C2×#63661C2semidirect
5. C2×#63580C2semidirect
6. #10591530C2direct (N × H)
9. C24×C3×D3C22semidirect
16. C3×#1004C22semidirect
21. C2×#3757C22semidirect
22. C2×C3×#217C22semidirect
24. C3×#937C22semidirect
27. #63976C22semidirect
29. #63661C22semidirect
30. #63580C22semidirect
32. C2×#1004D3semidirect
36. C2×#937D3semidirect
44. C24×C32D4semidirect
52. C23×C3×D3D4semidirect
53. C23×C3×D3C23semidirect
56. C2×C32×D4D4semidirect
58. C22×C32×C4D4semidirect
69. C2×C3×#67D4semidirect
73. C22×C3×Dic3D4semidirect
86. #3757C23semidirect
88. C3×#217C23semidirect
93. C24×D3C2×D3semidirect
113. #1004C2×D3semidirect
127. C2×#217C2×D3semidirect
131. #937C2×D3semidirect
147. C23×C32C2×D4semidirect
166. C22×C3×D3C2×D4semidirect
171. C2×C32×C4C2×D4semidirect
185. C2×C3×Dic3C2×D4semidirect
206. C24×C3#67semidirect
207. C24×C3#67semidirect
216. C23×D3#67semidirect
217. C23×D3C22×D3semidirect
245. C2×C3×D4#67semidirect
246. C2×C3×D4#67semidirect
254. C22×C3×C4#67semidirect
255. C22×C3×C4#67semidirect
269. C2×#67#67semidirect
276. C22×Dic3#67semidirect
297. #217C22×D3semidirect
397. C23×C3C2×#67semidirect
398. C23×C3C2×#67semidirect
418. C22×D3C2×#67semidirect
447. C2×C3×C4C2×#67semidirect
448. C2×C3×C4C2×#67semidirect
468. C2×Dic3C2×#67semidirect
477. C2×C32B(4,𝔽2)semidirect
489. C24#625semidirect
514. C2×D4#625semidirect
521. C22×C4#625semidirect
606. C32C2×B(4,𝔽2)semidirect
631. C23C2×#625semidirect
657. C2×C4C2×#625semidirect
677. C2×C3#5032semidirect
678. C2×C3#5244semidirect
715. C3C2×#5032semidirect
716. C3C2×#5244semidirect
724. C2#10591530direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#10042
C2×C3×#9372
C2×#639762
C2×#636612
C2×#635802
#105915302
C2×#52443
C2×#50323