Finite Group Databasebeta

← C2×#10595218 #11901507

Subgroups — C2×#10595218 #11901507

Order 1152.

2733 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64147C211yesmaximal, characteristic, complemented
2C2×C3×#940C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×#63978C212yesmaximal, complemented
5C2×#63971C212yesmaximal, complemented
6C2×#63969C212yesmaximal, complemented
7C2×#63961C212yesmaximal, complemented
8#10595218C2116yesmaximal, direct product factor
9C2×#63916C211yesmaximal, characteristic, complemented
10C2×Dic3×D12C211yesmaximal, characteristic, complemented
11C2×#63874C211yesmaximal, characteristic, complemented
12C2×#63869C211yesmaximal, characteristic, complemented
13C2×#5719—31nomaximal
14C2×#5562—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×C3×#67C2212yes—
20C23×C3×Dic3C2212yes—
21C22×C3×D12C2211yescharacteristic
22C22×#626C2212yes—
23C22×D3×Dic3C2212yes—
24C2×#3757C2212yes—
25#64147C2218yescomplemented
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×C3×#217C2212yes—
28C3×#940C2218yescomplemented
29C3×D4×Dic3C2218yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33#63978C22116yescomplemented
34#63971C22116yescomplemented
35#63969C22116yescomplemented
36C2×#3724C2212yes—
37C2×#3724C2211yescharacteristic
38C2×#3724C2211yescharacteristic
39C2×Dic3⋊Dic3C2212yes—
40C2×#3722C2211yescharacteristic
41C2×#3722C2211yescharacteristic
42#63961C22116yescomplemented
43C2×(C2×D3)⋊Dic3C2212yes—
44C2×(C2×D3)⋊Dic3C2212yes—
45#63916C2218yescomplemented
46Dic3×D12C2218yescomplemented
47#63874C2218yescomplemented
48#63869C2218yescomplemented
49C2×C3×#127—31no—
50C2×C3×C4×D4—31no—
51C2×#940D311yescharacteristic, complemented
52C2×#939—32no—
53C2×#939—32no—
54C2×#938—31no—
55C2×#938—31no—
56C2×#938—31no—
57C2×#938—61no—
58C2×#935—32no—
59C2×#935—32no—
60C2×D4×Dic3—31no—
61C2×D4×Dic3D311yescharacteristic, complemented
62C2×#930—32no—
63C2×#929—32no—
64#5719—316no—
65#5562—316no—
66C2×#895—31no—
67C2×#890—31no—
68C2×#884—32no—
69C2×#883—32no—
70C2×C4×D12—31no—
71C2×#872—31no—
72C2×#872—31no—
73C2×#870—31no—
74C24×C32C2312yes—
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C2×C32×D4—24no—
78C2×C32×D4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C2×#638—44no—
81C2×#638C2318yes—
82C22×C3⋊Dic3C2312yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yes—
86C2×C3×#67—44no—
87C2×C3×#67—44no—
88C2×C3×#67C2318yes—
89C2×C3×#67C2318yes—
90C22×C3×Dic3—44no—
91C22×C3×Dic3C2311yescharacteristic
92C22×C3×Dic3C2311yescharacteristic
93C22×C3×Dic3C2311yescharacteristic
94C22×C3×Dic3C2311yescharacteristic
95C22×C3×Dic3C2312yes—
96C22×C3×Dic3C2318yes—
97C2×C3×D12—24no—
98C2×C3×D12C2314yes—
99C2×#626—44no—
100C2×#626C2318yes—
101C2×D3×Dic3—44no—
102C2×D3×Dic3C2318yes—
103#3757C2318yes—
104C4⋊(C3⋊Dic3)C2314yes—
105C3×#217C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4×Dic3C2314yes—
108C3×C4×Dic3C2314yes—
109#3724C2318yes—
110#3724C2314yes—
111#3724C2314yes—
112Dic3⋊Dic3C2318yes—
113#3722C2314yes—
114#3722C2314yes—
115(C2×D3)⋊Dic3C2318yes—
116(C2×D3)⋊Dic3C2318yes—
117C2×#540—91noSylow
118C22×C3×D4—21no—
119C22×C3×D4—32no—
120C22×C3×D4—32no—
121C22×C3×D4—31no—
122C22×C3×D4C2×D311yescharacteristic
123C22×C3×D4C2×D311yescharacteristic
124C23×C3×C4—32no—
125C22×#67—32no—
126C22×#67—32no—
127C22×#67—32no—
128C22×#67—62no—
129C22×#67C2×D312yes—
130C22×#67C2×D312yes—
131C23×Dic3—32no—
132C23×Dic3C2×D312yes—
133C22×D12—32no—
134C22×D12C2×D311yescharacteristic
135C22×C4×D3—31no—
136C22×C4×D3—31no—
137C22×C4×D3—32no—
138C22×C4×D3—61no—
139C3×#127—38no—
140C3×C4×D4—38no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C22⋊C4—32no—
143C2×C3×C42—31no—
144C2×C3×C42—31no—
145C2×#217—32no—
146C2×#217—32no—
147C2×#217—32no—
148C2×#217—32no—
149C2×#217—62no—
150C2×#217C2×D312yes—
151#940C2×D318yescomplemented
152#939—316no—
153#939—316no—
154#938—38no—
155#938—38no—
156#938—38no—
157#938—68no—
158#935—316no—
159#935—316no—
160D4×Dic3—38no—
161D4×Dic3C2×D318yescomplemented
162#930—316no—
163#929—316no—
164C2×(C2×D3)⋊C4—32no—
165C2×(C2×D3)⋊C4—32no—
166C2×(C2×D3)⋊C4—31no—
167C2×(C2×D3)⋊C4—31no—
168C2×(C2×D3)⋊C4—31no—
169C2×(C2×D3)⋊C4—31no—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—31no—
172C2×C4⋊Dic3—32no—
173C2×C4⋊Dic3—61no—
174C2×C4⋊Dic3C2×D311yescharacteristic
175C2×Dic3⋊C4—32no—
176C2×Dic3⋊C4—32no—
177C2×Dic3⋊C4—31no—
178C2×Dic3⋊C4—31no—
179C2×Dic3⋊C4—31no—
180C2×Dic3⋊C4—31no—
181C2×Dic3⋊C4—32no—
182C2×C4×Dic3C2×D311yescharacteristic
183C2×C4×Dic3C2×D311yescharacteristic
184#895—38no—
185#890—38no—
186#884—316no—
187#883—316no—
188C4×D12—38no—
189#872—38no—
190#872—38no—
191#870—38no—
192C23×C32—24no—
193C23×C32—24no—
194C23×C32—24no—
195C23×C32C2414yes—
196C23×C32C2411yescharacteristic
197C22×C3⋊D3—22no—
198C22×C3⋊D3—22no—
199C22×C3⋊D3—22no—
200C22×C3⋊D3C2412yes—
201C22×C3×D3—24no—
202C22×C3×D3—24no—
203C22×C3×D3—24no—
204C22×C3×D3C2414yes—
205C32×D4—28no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208#638—48no—
209C2×C3⋊Dic3—22no—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3C2412yes—
212C2×C3⋊Dic3C2414yes—
213C4×C3⋊D3—28no—
214C3×#67—48no—
215C3×#67—48no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—22no—
221C2×C3×Dic3—48no—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2414yes—
224C2×C3×Dic3C2412yes—
225C2×C3×Dic3C2412yes—
226C2×C3×Dic3C2412yes—
227C3×D12—28no—
228#626—48no—
229D3×Dic3—48no—
230#540—916no—
231C2×#127—31no—
232C2×#125—91no—
233C2×#123—92no—
234C2×#123—92no—
235C2×#121—92no—
236C2×#121—91no—
237C2×#121—92no—
238C2×#121—91no—
239C2×C4×D4—31no—
240C2×C4×D4—91no—
241C2×#117—91no—
242C24×C3—22no—
243C24×C3—32no—
244C24×C3C22×D312yes—
245C24×C3C22×D312yes—
246C23×D3—31no—
247C23×D3—31no—
248C23×D3—61no—
249C23×D3C22×D312yes—
250C2×C3×D4—24no—
251C2×C3×D4—24no—
252C2×C3×D4—24no—
253C2×C3×D4—38no—
254C2×C3×D4—38no—
255C2×C3×D4—34no—
256C2×C3×D4—44no—
257C2×C3×D4—64no—
258C2×C3×D4—124no—
259C2×C3×D4—124no—
260C2×C3×D4C22×D314yes—
261C2×C3×D4C22×D314yes—
262C22×C3×C4—21no—
263C22×C3×C4—31no—
264C22×C3×C4—31no—
265C22×C3×C4—32no—
266C22×C3×C4—31no—
267C22×C3×C4—31no—
268C22×C3×C4—38no—
269C22×C3×C4—124no—
270C22×C3×C4C22×D311yescharacteristic
271C22×C3×C4C22×D311yescharacteristic
272C2×#67—38no—
273C2×#67—38no—
274C2×#67—38no—
275C2×#67—44no—
276C2×#67—44no—
277C2×#67—68no—
278C2×#67—124no—
279C2×#67—124no—
280C2×#67—124no—
281C2×#67—128no—
282C2×#67C22×D318yes—
283C2×#67C22×D318yes—
284C22×Dic3—32no—
285C22×Dic3—31no—
286C22×Dic3—31no—
287C22×Dic3—32no—
288C22×Dic3—38no—
289C22×Dic3—44no—
290C22×Dic3—62no—
291C22×Dic3—61no—
292C22×Dic3—124no—
293C22×Dic3C22×D311yescharacteristic
294C22×Dic3C22×D311yescharacteristic
295C22×Dic3C22×D311yescharacteristic
296C22×Dic3C22×D311yescharacteristic
297C22×Dic3C22×D312yes—
298C22×Dic3C22×D318yes—
299C2×D12—24no—
300C2×D12—38no—
301C2×D12—124no—
302C2×D12C22×D314yes—
303C2×C4×D3—34no—
304C2×C4×D3—34no—
305C2×C4×D3—38no—
306C2×C4×D3—64no—
307C2×C4×D3—64no—
308C2×C4×D3—64no—
309C2×C4×D3—124no—
310C2×C4×D3—124no—
311C3×C4⋊C4—34no—
312C3×C22⋊C4—38no—
313C3×C42—34no—
314C3×C42—34no—
315#217—38no—
316#217—38no—
317#217—38no—
318#217—38no—
319#217—68no—
320#217C22×D318yes—
321(C2×D3)⋊C4—38no—
322(C2×D3)⋊C4—38no—
323(C2×D3)⋊C4—34no—
324(C2×D3)⋊C4—34no—
325(C2×D3)⋊C4—34no—
326(C2×D3)⋊C4—34no—
327C4⋊Dic3—34no—
328C4⋊Dic3—34no—
329C4⋊Dic3—38no—
330C4⋊Dic3—64no—
331C4⋊Dic3C22×D314yes—
332Dic3⋊C4—38no—
333Dic3⋊C4—38no—
334Dic3⋊C4—34no—
335Dic3⋊C4—34no—
336Dic3⋊C4—34no—
337Dic3⋊C4—34no—
338Dic3⋊C4—38no—
339C4×Dic3C22×D314yes—
340C4×Dic3C22×D314yes—
341C22×C32—24no—
342C22×C32—24no—
343C22×C32—24no—
344C22×C32—48no—
345C22×C32C2×#4112yes—
346C22×C32H(5,𝔽2)12yes—
347C22×C32H(5,𝔽2)12yes—
348C22×C32C2511yescharacteristic
349C2×C3⋊D3—22no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—22no—
352C2×C3⋊D3—44no—
353C2×C3×D3—24no—
354C2×C3×D3—24no—
355C2×C3×D3—24no—
356C2×C3×D3—48no—
357C32×C4C2×#4114yes—
358C3⋊Dic3—22no—
359C3⋊Dic3—24no—
360C3×Dic3—22no—
361C3×Dic3—24no—
362C3×Dic3—22no—
363C3×Dic3—22no—
364C3×Dic3—22no—
365C22×D4—32no—
366C22×D4—32no—
367C22×D4—31no—
368C22×D4—92no—
369C22×D4—92no—
370C22×D4D3211yescharacteristic
371C23×C4—32no—
372C23×C4—92no—
373C23×C4—91no—
374#127—38no—
375#125—98no—
376#123—916no—
377#123—916no—
378#121—916no—
379#121—98no—
380#121—916no—
381#121—98no—
382C4×D4—38no—
383C4×D4—98no—
384#117—98no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—91no—
387C2×C4⋊C4—91no—
388C2×C4⋊C4—92no—
389C2×C4⋊C4—92no—
390C2×C4⋊C4—91no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—92no—
395C2×C22⋊C4—92no—
396C2×C22⋊C4—92no—
397C2×C42—31no—
398C2×C42—31no—
399C23×C3—24no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—24no—
403C23×C3—24no—
404C23×C3—24no—
405C23×C3—24no—
406C23×C3—21no—
407C23×C3—34no—
408C23×C3—44no—
409C23×C3—44no—
410C23×C3—44no—
411C23×C3—64no—
412C23×C3—64no—
413C23×C3—64no—
414C23×C3C23×D314yes—
415C23×C3C23×D314yes—
416C23×C3C23×D311yescharacteristic
417C23×C3C23×D311yescharacteristic
418C22×D3—24no—
419C22×D3—24no—
420C22×D3—24no—
421C22×D3—32no—
422C22×D3—32no—
423C22×D3—62no—
424C22×D3—64no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—62no—
428C22×D3—62no—
429C22×D3—62no—
430C22×D3—62no—
431C22×D3—122no—
432C22×D3—122no—
433C22×D3C23×D314yes—
434C3×D4—28no—
435C3×D4—28no—
436C3×D4—48no—
437C3×D4—68no—
438C3×D4—128no—
439C3×D4—128no—
440C2×C3×C4—22no—
441C2×C3×C4—24no—
442C2×C3×C4—32no—
443C2×C3×C4—32no—
444C2×C3×C4—34no—
445C2×C3×C4—32no—
446C2×C3×C4—32no—
447C2×C3×C4—62no—
448C2×C3×C4—64no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—128no—
453C2×C3×C4#23514yes—
454C2×C3×C4#23714yes—
455C2×C3×C4C23×D312yes—
456C2×C3×C4C23×D312yes—
457#67—48no—
458#67—48no—
459#67—128no—
460#67—128no—
461#67—128no—
462#67—1216no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—34no—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—34no—
472C2×Dic3—48no—
473C2×Dic3—64no—
474C2×Dic3—62no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—64no—
478C2×Dic3—64no—
479C2×Dic3—122no—
480C2×Dic3—124no—
481C2×Dic3—128no—
482C2×Dic3C23×D312yes—
483C2×Dic3C23×D312yes—
484C2×Dic3C23×D312yes—
485C2×Dic3C23×D312yes—
486C2×Dic3C23×D314yes—
487D12—28no—
488D12—128no—
489C4×D3—68no—
490C4×D3—68no—
491C4×D3—128no—
492C4×D3—128no—
493C2×C32—44no—
494C2×C32#54014yescomplemented
495C2×C32C22×#4111yescharacteristic
496C2×C32C2×H(5,𝔽2)11yescharacteristic
497C2×C32C2×H(5,𝔽2)11yescharacteristic
498C3⋊D3—42no—
499C3×D3—44no—
500C24—32no—
501C24—91no—
502C24C2×D3212yes—
503C2×D4—24no—
504C2×D4—38no—
505C2×D4—38no—
506C2×D4—34no—
507C2×D4—64no—
508C2×D4—98no—
509C2×D4—98no—
510C2×D4—124no—
511C2×D4—124no—
512C2×D4—364no—
513C2×D4—364no—
514C2×D4C2×D3214yes—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—32no—
520C22×C4—38no—
521C22×C4—98no—
522C22×C4—91no—
523C22×C4—92no—
524C22×C4—94no—
525C22×C4—124no—
526C22×C4—184no—
527C22×C4—364no—
528C22×C4C2×D3211yescharacteristic
529C4⋊C4—34no—
530C4⋊C4—94no—
531C4⋊C4—94no—
532C4⋊C4—98no—
533C4⋊C4—98no—
534C4⋊C4—94no—
535C22⋊C4—38no—
536C22⋊C4—94no—
537C22⋊C4—94no—
538C22⋊C4—98no—
539C22⋊C4—98no—
540C22⋊C4—98no—
541C42—34no—
542C42—34no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—22no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—21no—
553C22×C3—44no—
554C22×C3—44no—
555C22×C3—44no—
556C22×C3—48no—
557C22×C3—48no—
558C22×C3—64no—
559C22×C3—64no—
560C22×C3—64no—
561C22×C3—88no—
562C22×C3—128no—
563C22×C3C2×#23512yes—
564C22×C3C2×#23712yes—
565C22×C3#100412yes—
566C22×C3#100412yes—
567C22×C3#100412yes—
568C22×C3#100912yes—
569C22×C3C24×D311yescharacteristic
570C22×C3C24×D311yescharacteristic
571C2×D3—24no—
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—48no—
575C2×D3—64no—
576C2×D3—62no—
577C2×D3—62no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—122no—
583C2×D3—122no—
584C2×D3—128no—
585C2×D3—124no—
586C2×D3—124no—
587C3×C4—24no—
588C3×C4—62no—
589C3×C4—64no—
590C3×C4—62no—
591C3×C4—62no—
592C3×C4—62no—
593C3×C4C2×#23514yes—
594C3×C4C2×#23714yes—
595Dic3—22no—
596Dic3—24no—
597Dic3—22no—
598Dic3—22no—
599Dic3—22no—
600Dic3—62no—
601Dic3—62no—
602Dic3—64no—
603Dic3—64no—
604Dic3—122no—
605Dic3—124no—
606C32C2×#54011yescharacteristic, complemented, Sylow
607C23—24no—
608C23—24no—
609C23—24no—
610C23—34no—
611C23—64no—
612C23—64no—
613C23—64no—
614C23—92no—
615C23—182no—
616C23—182no—
617C23—182no—
618C23C22×D3214yes—
619C23C22×D3211yescharacteristic
620D4—28no—
621D4—68no—
622D4—128no—
623D4—128no—
624D4—368no—
625D4—368no—
626C2×C4—32no—
627C2×C4—32no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—34no—
631C2×C4—62no—
632C2×C4—64no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—62no—
636C2×C4—92no—
637C2×C4—94no—
638C2×C4—128no—
639C2×C4—184no—
640C2×C4—182no—
641C2×C4—188no—
642C2×C4—368no—
643C2×C4#380414yes—
644C2×C4C22×D3212yes—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—24no—
649C2×C3—44no—
650C2×C3—44no—
651C2×C3—84no—
652C2×C3—124no—
653C2×C3#556214yescomplemented
654C2×C3#571914yescomplemented
655C2×C3C22×#23511yescharacteristic
656C2×C3C22×#23711yescharacteristic
657C2×C3C2×#100411yescharacteristic
658C2×C3C2×#100411yescharacteristic
659C2×C3C2×#100411yescharacteristic
660C2×C3C2×#100911yescharacteristic
661D3—44no—
662D3—124no—
663D3—122no—
664D3—122no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—48no—
669C22—64no—
670C22—64no—
671C22—64no—
672C22—128no—
673C22—182no—
674C22—182no—
675C22—182no—
676C22—364no—
677C22#6431312yes—
678C22#6431412yes—
679C22C2×#380412yes—
680C22C23×D3211yescharacteristic
681C4—62no—
682C4—64no—
683C4—62no—
684C4—62no—
685C4—62no—
686C4—184no—
687C4—182no—
688C4C2×#380414yes—
689C3—21no—
690C3C2×#556211yescharacteristic, complemented
691C3C2×#571911yescharacteristic, complemented
692C2—44no—
693C2—124no—
694C2—362no—
695C2#1059521814yesdirect product factor
696C2C2×#6431311yescharacteristic
697C2C2×#6431411yescharacteristic
698C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#540
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×#940C2semidirect
3. C2×C3×D4×Dic3C2semidirect
4. C2×#63978C2semidirect
5. C2×#63971C2semidirect
6. C2×#63969C2semidirect
7. C2×#63961C2semidirect
8. #10595218C2direct (N × H)
9. C2×#63916C2semidirect
10. C2×Dic3×D12C2semidirect
11. C2×#63874C2semidirect
12. C2×#63869C2semidirect
25. #64147C22semidirect
28. C3×#940C22semidirect
29. C3×D4×Dic3C22semidirect
33. #63978C22semidirect
34. #63971C22semidirect
35. #63969C22semidirect
42. #63961C22semidirect
45. #63916C22semidirect
46. Dic3×D12C22semidirect
47. #63874C22semidirect
48. #63869C22semidirect
51. C2×#940D3semidirect
61. C2×D4×Dic3D3semidirect
151. #940C2×D3semidirect
161. D4×Dic3C2×D3semidirect
494. C2×C32#540semidirect
606. C32C2×#540semidirect
653. C2×C3#5562semidirect
654. C2×C3#5719semidirect
690. C3C2×#5562semidirect
691. C3C2×#5719semidirect
695. C2#10595218direct (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×#9402
C2×C3×D4×Dic32
C2×#639782
C2×#639712
C2×#639692
C2×#639612
#105952182
C2×#639162
C2×Dic3×D122
C2×#638742
C2×#638692
C2×#57193
C2×#55623