Finite Group Databasebeta

← C2×#10594991 #11903271

Subgroups — C2×#10594991 #11903271

Order 1152.

2613 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#638C211yesmaximal, characteristic
2C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#924C211yesmaximal, characteristic, complemented
4C2×#63964C212yesmaximal, complemented
5C2×#63952C212yesmaximal
6C2×#63919C211yesmaximal, characteristic, complemented
7#10594991C2116yesmaximal, direct product factor
8C2×#63900C211yesmaximal, characteristic, complemented
9C2×#63895C212yesmaximal, complemented
10C2×#63871C211yesmaximal, characteristic, complemented
11C2×#63847C212yesmaximal, complemented
12C2×#63843C211yesmaximal, characteristic, complemented
13C2×#5635—31nomaximal
14C2×#5511—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C22×#638C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C23×C3×Dic3C2212yes—
19C22×C3×Dic6C2211yescharacteristic
20C22×#627C2212yes—
21C22×#624C2212yes—
22C2×#3757C2211yescharacteristic
23C4×#638C2218yes—
24C2×#3752C2211yescharacteristic
25C2×#3750C2211yescharacteristic
26C2×C4×C3⋊Dic3C2211yescharacteristic
27C2×C3×#217C2212yes—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×C4⋊Dic3C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2218yescomplemented
33C3×#924C2218yescomplemented
34C2×C3×Dic3⋊C4C2212yes—
35C2×#3724C2212yes—
36C2×#3724C2212yes—
37C2×Dic3⋊Dic3C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39#63964C22116yescomplemented
40C2×#3722C2212yes—
41C2×Dic32C2212yes—
42#63952C22116yes—
43#63919C2218yescomplemented
44#63900C2218yescomplemented
45#63895C22116yescomplemented
46#63871C2218yescomplemented
47#63847C22116yescomplemented
48#63843C2218yescomplemented
49C2×C3×C22⋊Q8—31no—
50C22×C3×C4⋊C4—31no—
51C2×#946—31no—
52C2×Q8×Dic3—31no—
53C2×C4×#67—31no—
54C2×C4×#67—31no—
55C2×C4×#67—32no—
56C2×C4×#67—61no—
57C22×C4⋊Dic3D311yescharacteristic, complemented
58C2×#924—32no—
59C2×#924D311yescharacteristic, complemented
60#5635—316no—
61#5511—316no—
62C2×#897—31no—
63C2×#897—32no—
64C2×#896—32no—
65C2×D3×C4⋊C4—31no—
66C2×D3×C4⋊C4—31no—
67C2×#889—32no—
68C2×#889—32no—
69C2×#888—31no—
70C2×#888—31no—
71C2×#887—31no—
72C2×#67⋊C4—32no—
73C2×#878—32no—
74C24×C32C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C22×C32×C4—24no—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C2×#638Q818yescomplemented
81C2×#638C2314yes—
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C2×C4×C3⋊D3—24no—
86C2×C4×C3⋊D3C2314yes—
87C22×C3×Dic3—44no—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2318yes—
93C2×C3×Dic6—24no—
94C2×C3×Dic6C2314yes—
95C2×#627—44no—
96C2×#627C2318yes—
97C2×#624—44no—
98C2×#624C2318yes—
99#3757C2314yes—
100#3752C2314yes—
101#3750C2314yes—
102C4×C3⋊Dic3C2314yes—
103C3×#217C2318yes—
104C3×C4⋊Dic3C2314yes—
105C3×C4⋊Dic3C2314yes—
106C3×C4⋊Dic3C2318yes—
107C3×C4⋊Dic3C2314yes—
108C3×Dic3⋊C4C2318yes—
109#3724C2318yes—
110#3724C2318yes—
111Dic3⋊Dic3C2318yes—
112Dic3⋊Dic3C2318yes—
113#3722C2318yes—
114Dic32C2318yes—
115C2×#554—91noSylow
116C22×C3×Q8—31no—
117C23×C3×C4—21no—
118C23×C3×C4—32no—
119C23×C3×C4C2×D311yescharacteristic
120C23×C3×C4C2×D311yescharacteristic
121C22×#67—31no—
122C22×#67—31no—
123C22×#67—61no—
124C23×Dic3C2×D312yes—
125C22×C4×D3—31no—
126C22×C4×D3—31no—
127C22×C4×D3—32no—
128C22×C4×D3—32no—
129C22×C4×D3—61no—
130C22×Dic6—32no—
131C22×Dic6—32no—
132C22×Dic6C2×D311yescharacteristic
133C3×C22⋊Q8—38no—
134C2×C3×C4⋊C4—32no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4—32no—
139C2×C3×C4⋊C4—38no—
140C2×C3×C22⋊C4—32no—
141C2×#217—31no—
142C2×#217—31no—
143C2×#217—61no—
144C2×#217C2×D312yes—
145#946—38no—
146Q8×Dic3—38no—
147C4×#67—38no—
148C4×#67—38no—
149C4×#67—316no—
150C4×#67—68no—
151C2×(C2×D3)⋊C4—31no—
152C2×(C2×D3)⋊C4—31no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—61no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—32no—
158C2×C4⋊Dic3C2×D311yescharacteristic
159C2×C4⋊Dic3C2×D311yescharacteristic
160C2×C4⋊Dic3C2×D312yes—
161C2×C4⋊Dic3C2×D311yescharacteristic
162C2×C4⋊Dic3C2×D318yescomplemented
163#924—316no—
164#924C2×D318yescomplemented
165C2×Dic3⋊C4—31no—
166C2×Dic3⋊C4—31no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4—32no—
172C2×Dic3⋊C4—32no—
173C2×Dic3⋊C4—61no—
174C2×Dic3⋊C4C2×D312yes—
175C2×C4×Dic3—31no—
176C2×C4×Dic3—31no—
177C2×C4×Dic3—32no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3—61no—
180#897—38no—
181#897—316no—
182#896—316no—
183D3×C4⋊C4—38no—
184D3×C4⋊C4—38no—
185#889—316no—
186#889—316no—
187#888—38no—
188#888—38no—
189#887—38no—
190#67⋊C4—316no—
191#878—316no—
192C23×C32—22no—
193C23×C32—22no—
194C23×C32C2×Q814yes—
195C23×C32C2412yes—
196C23×C32C2411yescharacteristic
197C22×C3⋊D3—22no—
198C22×C3⋊D3—22no—
199C22×C3⋊D3C2×Q814yes—
200C22×C3⋊D3C2412yes—
201C2×C32×C4—22no—
202C2×C32×C4—28no—
203C2×C32×C4#4114yes—
204C2×C32×C4C2412yes—
205C2×C32×C4C2412yes—
206#638C2×Q8116yescomplemented
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3C2×Q814yes—
210C2×C3⋊Dic3C2412yes—
211C2×C3⋊Dic3C2412yes—
212C2×C3⋊Dic3C2412yes—
213C4×C3⋊D3—28no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—24no—
216C2×C3×Dic3—24no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—48no—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2414yes—
222C2×C3×Dic3C2414yes—
223C3×Dic6—28no—
224#627—48no—
225#624—48no—
226#554—916no—
227C2×C4⋊Q8—91no—
228C2×#125—92no—
229C2×C22⋊Q8—31no—
230C2×C22⋊Q8—92no—
231C2×C22⋊Q8—92no—
232C2×C22⋊Q8—91no—
233C2×C4×Q8—91no—
234C2×C4×D4—92no—
235C2×C4×D4—91no—
236C22×C4⋊C4—31no—
237C22×C4⋊C4—91no—
238C24×C3—21no—
239C24×C3C22×D311yescharacteristic
240C24×C3C22×D311yescharacteristic
241C23×D3—31no—
242C23×D3—31no—
243C23×D3—61no—
244C2×C3×Q8—34no—
245C2×C3×Q8—64no—
246C22×C3×C4—24no—
247C22×C3×C4—24no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—24no—
251C22×C3×C4—32no—
252C22×C3×C4—32no—
253C22×C3×C4—32no—
254C22×C3×C4—32no—
255C22×C3×C4—38no—
256C22×C3×C4—44no—
257C22×C3×C4—124no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D314yes—
261C22×C3×C4C22×D314yes—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C2×#67—38no—
265C2×#67—38no—
266C2×#67—34no—
267C2×#67—34no—
268C2×#67—64no—
269C2×#67—68no—
270C22×Dic3—31no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—31no—
274C22×Dic3—31no—
275C22×Dic3—31no—
276C22×Dic3—44no—
277C22×Dic3—61no—
278C22×Dic3—61no—
279C22×Dic3—61no—
280C22×Dic3C22×D312yes—
281C22×Dic3C22×D312yes—
282C22×Dic3C22×D312yes—
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D318yes—
285C2×C4×D3—34no—
286C2×C4×D3—34no—
287C2×C4×D3—38no—
288C2×C4×D3—38no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—64no—
292C2×C4×D3—124no—
293C2×C4×D3—124no—
294C2×C4×D3—124no—
295C2×Dic6—24no—
296C2×Dic6—38no—
297C2×Dic6—38no—
298C2×Dic6—124no—
299C2×Dic6—124no—
300C2×Dic6C22×D314yes—
301C3×C4⋊C4—34no—
302C3×C4⋊C4—34no—
303C3×C4⋊C4—34no—
304C3×C4⋊C4—38no—
305C3×C4⋊C4—38no—
306C3×C22⋊C4—38no—
307#217—34no—
308#217—34no—
309#217—64no—
310#217C22×D318yes—
311(C2×D3)⋊C4—34no—
312(C2×D3)⋊C4—34no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—64no—
316C4⋊Dic3—38no—
317C4⋊Dic3—38no—
318C4⋊Dic3C22×D314yes—
319C4⋊Dic3C22×D314yes—
320C4⋊Dic3C22×D318yes—
321C4⋊Dic3C22×D314yes—
322Dic3⋊C4—34no—
323Dic3⋊C4—34no—
324Dic3⋊C4—38no—
325Dic3⋊C4—38no—
326Dic3⋊C4—38no—
327Dic3⋊C4—38no—
328Dic3⋊C4—38no—
329Dic3⋊C4—38no—
330Dic3⋊C4—64no—
331Dic3⋊C4C22×D318yes—
332C4×Dic3—34no—
333C4×Dic3—34no—
334C4×Dic3—38no—
335C4×Dic3—38no—
336C4×Dic3—64no—
337C22×C32—28no—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32C22×Q814yes—
341C22×C32C22×Q812yes—
342C22×C32C2×#4112yes—
343C22×C32H(5,𝔽2)12yes—
344C22×C32C2511yescharacteristic
345C2×C3⋊D3—28no—
346C2×C3⋊D3—22no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3C22×Q814yes—
349C32×C4—22no—
350C32×C4C2×#4114yes—
351C3⋊Dic3—22no—
352C3⋊Dic3—22no—
353C3⋊Dic3C22×Q814yes—
354C3×Dic3—24no—
355C3×Dic3—24no—
356C3×Dic3—24no—
357C3×Dic3—24no—
358C22×Q8—31no—
359C22×Q8—92no—
360C22×D4—91no—
361C23×C4—32no—
362C23×C4—92no—
363C23×C4—91no—
364C23×C4D3211yescharacteristic
365C4⋊Q8—98no—
366#125—916no—
367C22⋊Q8—38no—
368C22⋊Q8—916no—
369C22⋊Q8—916no—
370C22⋊Q8—98no—
371C4×Q8—98no—
372C4×D4—916no—
373C4×D4—98no—
374C2×C4⋊C4—31no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—38no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—98no—
381C2×C4⋊C4—92no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4—92no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—91no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—92no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C42—92no—
391C2×C42—91no—
392C23×C3—22no—
393C23×C3—22no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—21no—
398C23×C3—24no—
399C23×C3—42no—
400C23×C3—42no—
401C23×C3D3×Q814yes—
402C23×C3D3×Q814yes—
403C23×C3C23×D312yes—
404C23×C3C23×D312yes—
405C23×C3C23×D311yescharacteristic
406C23×C3C23×D311yescharacteristic
407C22×D3—34no—
408C22×D3—34no—
409C22×D3—32no—
410C22×D3—32no—
411C22×D3—64no—
412C22×D3—62no—
413C22×D3—62no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3—122no—
418C22×D3—122no—
419C3×Q8—68no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—28no—
423C2×C3×C4—28no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—24no—
427C2×C3×C4—34no—
428C2×C3×C4—34no—
429C2×C3×C4—34no—
430C2×C3×C4—34no—
431C2×C3×C4—48no—
432C2×C3×C4—42no—
433C2×C3×C4—64no—
434C2×C3×C4—64no—
435C2×C3×C4—64no—
436C2×C3×C4—64no—
437C2×C3×C4—128no—
438C2×C3×C4#23514yes—
439C2×C3×C4#23714yes—
440C2×C3×C4C23×D312yes—
441C2×C3×C4C23×D312yes—
442C2×C3×C4C23×D312yes—
443C2×C3×C4C23×D312yes—
444#67—316no—
445#67—316no—
446#67—616no—
447C2×Dic3—24no—
448C2×Dic3—24no—
449C2×Dic3—24no—
450C2×Dic3—24no—
451C2×Dic3—34no—
452C2×Dic3—34no—
453C2×Dic3—32no—
454C2×Dic3—32no—
455C2×Dic3—32no—
456C2×Dic3—32no—
457C2×Dic3—32no—
458C2×Dic3—32no—
459C2×Dic3—48no—
460C2×Dic3—64no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—62no—
468C2×Dic3—122no—
469C2×Dic3—122no—
470C2×Dic3C23×D314yes—
471C2×Dic3C23×D314yes—
472C2×Dic3C23×D314yes—
473C2×Dic3C23×D314yes—
474C4×D3—68no—
475C4×D3—68no—
476C4×D3—128no—
477C4×D3—128no—
478C4×D3—128no—
479Dic6—28no—
480Dic6—128no—
481Dic6—128no—
482C2×C32—24no—
483C2×C32#55414yescomplemented
484C2×C32C23×Q811yescharacteristic
485C2×C32C22×#4111yescharacteristic
486C2×C32C2×H(5,𝔽2)11yescharacteristic
487C3⋊D3—24no—
488C24—91no—
489C24C2×D3211yescharacteristic
490C2×Q8—34no—
491C2×Q8—64no—
492C2×Q8—98no—
493C2×Q8—364no—
494C2×D4—94no—
495C2×D4—98no—
496C22×C4—24no—
497C22×C4—32no—
498C22×C4—32no—
499C22×C4—32no—
500C22×C4—32no—
501C22×C4—38no—
502C22×C4—98no—
503C22×C4—91no—
504C22×C4—91no—
505C22×C4—91no—
506C22×C4—94no—
507C22×C4—124no—
508C22×C4—184no—
509C22×C4—364no—
510C22×C4C2×D3214yes—
511C22×C4C2×D3211yescharacteristic
512C22×C4C2×D3211yescharacteristic
513C4⋊C4—34no—
514C4⋊C4—38no—
515C4⋊C4—34no—
516C4⋊C4—34no—
517C4⋊C4—38no—
518C4⋊C4—98no—
519C4⋊C4—98no—
520C4⋊C4—98no—
521C4⋊C4—98no—
522C4⋊C4—94no—
523C22⋊C4—38no—
524C22⋊C4—98no—
525C22⋊C4—94no—
526C22⋊C4—94no—
527C42—98no—
528C42—94no—
529C22×C3—28no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—28no—
535C22×C3—22no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—21no—
540C22×C3—42no—
541C22×C3—42no—
542C22×C3—48no—
543C22×C3C2×#23512yes—
544C22×C3C2×#23712yes—
545C22×C3#100412yes—
546C22×C3C2×D3×Q814yes—
547C22×C3C2×D3×Q814yes—
548C22×C3C2×D3×Q812yes—
549C22×C3C2×D3×Q812yes—
550C22×C3#100912yes—
551C22×C3C24×D311yescharacteristic
552C22×C3C24×D311yescharacteristic
553C2×D3—34no—
554C2×D3—34no—
555C2×D3—64no—
556C2×D3—68no—
557C2×D3—62no—
558C2×D3—62no—
559C2×D3—62no—
560C2×D3—62no—
561C2×D3—68no—
562C2×D3—122no—
563C2×D3—122no—
564C2×D3—128no—
565C3×C4—22no—
566C3×C4—22no—
567C3×C4—24no—
568C3×C4—42no—
569C3×C4—64no—
570C3×C4—64no—
571C3×C4—64no—
572C3×C4—64no—
573C3×C4C2×#23514yes—
574C3×C4C2×#23714yes—
575Dic3—24no—
576Dic3—24no—
577Dic3—24no—
578Dic3—24no—
579Dic3—34no—
580Dic3—34no—
581Dic3—64no—
582Dic3—62no—
583Dic3—62no—
584Dic3—62no—
585Dic3—62no—
586Dic3—122no—
587Dic3—122no—
588C32C2×#55411yescharacteristic, complemented, Sylow
589C23—22no—
590C23—22no—
591C23—94no—
592C23—92no—
593C23—182no—
594C23—182no—
595C23#379714yes—
596C23C22×D3212yes—
597C23C22×D3211yescharacteristic
598Q8—68no—
599Q8—368no—
600D4—916no—
601C2×C4—22no—
602C2×C4—28no—
603C2×C4—34no—
604C2×C4—34no—
605C2×C4—34no—
606C2×C4—34no—
607C2×C4—64no—
608C2×C4—64no—
609C2×C4—64no—
610C2×C4—64no—
611C2×C4—94no—
612C2×C4—92no—
613C2×C4—92no—
614C2×C4—92no—
615C2×C4—128no—
616C2×C4—182no—
617C2×C4—182no—
618C2×C4—188no—
619C2×C4—368no—
620C2×C4#380414yes—
621C2×C4C22×D3212yes—
622C2×C4C22×D3212yes—
623C2×C3—24no—
624C2×C3—24no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—24no—
629C2×C3—44no—
630C2×C3#551114yescomplemented
631C2×C3#563514yescomplemented
632C2×C3C22×#23511yescharacteristic
633C2×C3C22×#23711yescharacteristic
634C2×C3C2×#100411yescharacteristic
635C2×C3C22×D3×Q811yescharacteristic
636C2×C3C22×D3×Q811yescharacteristic
637C2×C3C2×#100911yescharacteristic
638D3—64no—
639D3—64no—
640D3—124no—
641C22—22no—
642C22—22no—
643C22—28no—
644C22—94no—
645C22—182no—
646C22—182no—
647C22—188no—
648C22C2×#379714yes—
649C22C2×#379712yes—
650C22#6430712yes—
651C22C2×#380412yes—
652C22C23×D3211yescharacteristic
653C4—22no—
654C4—64no—
655C4—64no—
656C4—64no—
657C4—64no—
658C4—94no—
659C4—182no—
660C4—182no—
661C4C2×#380414yes—
662C3—21no—
663C3C2×#551111yescharacteristic, complemented
664C3C2×#563511yescharacteristic, complemented
665C2—24no—
666C2—184no—
667C2#1059499114yesdirect product factor
668C2C22×#379711yescharacteristic
669C2C2×#6430711yescharacteristic
670C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
prime radicalC22×#638C22
hypercenterC23×C4D32
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4⋊Dic3C2semidirect
3. C2×C3×#924C2semidirect
4. C2×#63964C2semidirect
6. C2×#63919C2semidirect
7. #10594991C2direct (N × H)
8. C2×#63900C2semidirect
9. C2×#63895C2semidirect
10. C2×#63871C2semidirect
11. C2×#63847C2semidirect
12. C2×#63843C2semidirect
32. C2×C3×C4⋊Dic3C22semidirect
33. C3×#924C22semidirect
39. #63964C22semidirect
43. #63919C22semidirect
44. #63900C22semidirect
45. #63895C22semidirect
46. #63871C22semidirect
47. #63847C22semidirect
48. #63843C22semidirect
57. C22×C4⋊Dic3D3semidirect
59. C2×#924D3semidirect
80. C2×#638Q8semidirect
162. C2×C4⋊Dic3C2×D3semidirect
164. #924C2×D3semidirect
206. #638C2×Q8semidirect
483. C2×C32#554semidirect
588. C32C2×#554semidirect
630. C2×C3#5511semidirect
631. C2×C3#5635semidirect
663. C3C2×#5511semidirect
664. C3C2×#5635semidirect
667. C2#10594991direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×#6382
C22×C3×C4⋊Dic32
C2×C3×#9242
C2×#639642
C2×#639522
C2×#639192
#105949912
C2×#639002
C2×#638952
C2×#638712
C2×#638472
C2×#638432
C2×#56353
C2×#55113