Finite Group Databasebeta

← C2×#10595371 #11903282

Subgroups — C2×#10595371 #11903282

Order 1152.

2561 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×#64155C211yesmaximal, characteristic, complemented
2C2×C3×#946C211yesmaximal, characteristic, complemented
3C2×C3×Q8×Dic3C211yesmaximal, characteristic, complemented
4#10595371C2116yesmaximal, direct product factor
5C2×#63918C211yesmaximal, characteristic, complemented
6C2×C4×#626C211yesmaximal, characteristic
7C2×#63900C211yesmaximal, characteristic, complemented
8C2×#63899C212yesmaximal, complemented
9C2×#63895C212yesmaximal, complemented
10C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C2×#63880C212yesmaximal
12C2×#63867C212yesmaximal, complemented
13C2×#5635—31nomaximal
14C2×#5579—31nomaximal
15C22×C32×Q8C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×#627C2212yes—
19C22×#626C2211yescharacteristic
20C22×#624C2212yes—
21C22×D3×Dic3C2212yes—
22#64155C2218yescomplemented
23C2×#3752C2212yes—
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
25C2×#3750C2212yes—
26C3×#946C2218yescomplemented
27C3×Q8×Dic3C2218yescomplemented
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4⋊Dic3C2212yes—
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×C4×Dic3C2212yes—
34C2×C3×C4×Dic3C2211yescharacteristic
35C2×#3724C2212yes—
36C2×Dic3⋊Dic3C2211yescharacteristic
37C2×Dic3⋊Dic3C2212yes—
38C2×Dic3⋊Dic3C2212yes—
39C2×#3722C2211yescharacteristic
40C2×(C2×D3)⋊Dic3C2211yescharacteristic
41#63918C2218yescomplemented
42C4×#626C2218yes—
43#63900C2218yescomplemented
44#63899C22116yescomplemented
45#63895C22116yescomplemented
46D3×C4⋊Dic3C2218yescomplemented
47#63880C22116yes—
48#63867C22116yescomplemented
49C2×C3×C22⋊Q8—31no—
50C2×C3×C4×Q8—31no—
51C2×#946—31no—
52C2×#946—31no—
53C2×#946—61no—
54C2×#946D311yescharacteristic, complemented
55C2×Q8×Dic3D311yescharacteristic, complemented
56C2×C4×#67—31no—
57C22×C4⋊Dic3—31no—
58#5635—316no—
59#5579—316no—
60C2×#897—32no—
61C2×#896—32no—
62C2×#896—32no—
63C2×D3×C4⋊C4—31no—
64C2×D3×C4⋊C4—31no—
65C2×D3×C4⋊C4—31no—
66C2×#889—32no—
67C2×#888—31no—
68C2×#67⋊C4—32no—
69C2×#878—32no—
70C2×C4×D12—31no—
71C2×C4×D12—32no—
72C2×#870—32no—
73C2×#869—31no—
74C23×C3⋊D3C2311yescharacteristic
75C23×C3×D3C2311yescharacteristic
76C2×C32×Q8—24no—
77C2×C32×Q8C2314yes—
78C22×C32×C4C2312yes—
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2312yes—
81C22×C3⋊Dic3C2311yescharacteristic
82C2×C4×C3⋊D3—24no—
83C2×C4×C3⋊D3C2314yes—
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2311yescharacteristic
89C2×C3×C4×D3—24no—
90C2×C3×C4×D3C2314yes—
91C2×#627—44no—
92C2×#627C2318yes—
93C2×#626Q818yescomplemented
94C2×#626C2314yes—
95C2×#624—44no—
96C2×#624C2318yes—
97C2×D3×Dic3—44no—
98C2×D3×Dic3C2318yes—
99#3752C2318yes—
100C4⋊(C3⋊Dic3)C2314yes—
101#3750C2318yes—
102C3×(C2×D3)⋊C4C2318yes—
103C3×C4⋊Dic3C2314yes—
104C3×C4⋊Dic3C2318yes—
105C3×C4⋊Dic3C2314yes—
106C3×Dic3⋊C4C2318yes—
107C3×C4×Dic3C2318yes—
108C3×C4×Dic3C2314yes—
109#3724C2318yes—
110Dic3⋊Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112Dic3⋊Dic3C2318yes—
113#3722C2314yes—
114(C2×D3)⋊Dic3C2314yes—
115C2×#554—91noSylow
116C22×C3×Q8—21no—
117C22×C3×Q8C2×D311yescharacteristic
118C22×C3×Q8C2×D311yescharacteristic
119C23×C3×C4—31no—
120C22×#67—31no—
121C23×Dic3—32no—
122C22×D12—31no—
123C22×C4×D3—31no—
124C22×C4×D3—31no—
125C22×C4×D3—32no—
126C22×C4×D3—32no—
127C22×C4×D3—32no—
128C22×C4×D3—61no—
129C22×C4×D3C2×D311yescharacteristic
130C22×Dic6—32no—
131C22×Dic6—32no—
132C3×C22⋊Q8—38no—
133C3×C4×Q8—38no—
134C2×C3×C4⋊C4—32no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C4⋊C4—32no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C42—31no—
140C2×C3×C42—32no—
141C2×#217—31no—
142#946—38no—
143#946—38no—
144#946—68no—
145#946C2×D318yescomplemented
146Q8×Dic3C2×D318yescomplemented
147C4×#67—38no—
148C2×(C2×D3)⋊C4—31no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—31no—
152C2×(C2×D3)⋊C4—31no—
153C2×(C2×D3)⋊C4—62no—
154C2×(C2×D3)⋊C4C2×D312yes—
155C2×C4⋊Dic3—31no—
156C2×C4⋊Dic3—31no—
157C2×C4⋊Dic3—32no—
158C2×C4⋊Dic3—31no—
159C2×C4⋊Dic3—32no—
160C2×C4⋊Dic3—38no—
161C2×C4⋊Dic3—61no—
162C2×C4⋊Dic3C2×D311yescharacteristic
163C2×C4⋊Dic3C2×D312yes—
164C2×C4⋊Dic3C2×D311yescharacteristic
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4—31no—
172C2×Dic3⋊C4—62no—
173C2×Dic3⋊C4C2×D312yes—
174C2×C4×Dic3C2×D312yes—
175C2×C4×Dic3C2×D311yescharacteristic
176#897—316no—
177#896—316no—
178#896—316no—
179D3×C4⋊C4—38no—
180D3×C4⋊C4—38no—
181D3×C4⋊C4—38no—
182#889—316no—
183#888—38no—
184#67⋊C4—316no—
185#878—316no—
186C4×D12—38no—
187C4×D12—316no—
188#870—316no—
189#869—38no—
190C23×C32C2411yescharacteristic
191C22×C3⋊D3—22no—
192C22×C3⋊D3—22no—
193C22×C3⋊D3C2×Q814yes—
194C22×C3⋊D3C2412yes—
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3C2×Q814yes—
198C22×C3×D3C2412yes—
199C32×Q8—28no—
200C2×C32×C4—24no—
201C2×C32×C4#4114yes—
202C2×C32×C4C2414yes—
203C2×C32×C4C2412yes—
204C2×C3⋊Dic3—22no—
205C2×C3⋊Dic3—24no—
206C2×C3⋊Dic3C2412yes—
207C2×C3⋊Dic3C2414yes—
208C4×C3⋊D3—28no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—24no—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3C2×Q814yes—
214C2×C3×Dic3C2412yes—
215C2×C3×Dic3C2412yes—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2412yes—
219C3×C4×D3—28no—
220#627—48no—
221#626C2×Q8116yescomplemented
222#624—48no—
223D3×Dic3—48no—
224#554—916no—
225C2×C4⋊Q8—91no—
226C2×#125—92no—
227C2×C22⋊Q8—31no—
228C2×C22⋊Q8—92no—
229C2×C22⋊Q8—92no—
230C2×C22⋊Q8—91no—
231C2×C4×Q8—31no—
232C2×C4×D4—92no—
233C2×C4×D4—91no—
234C22×C4⋊C4—91no—
235C22×C4⋊C4—91no—
236C24×C3—31no—
237C23×D3—31no—
238C23×D3—31no—
239C23×D3—61no—
240C23×D3C22×D311yescharacteristic
241C2×C3×Q8—24no—
242C2×C3×Q8—24no—
243C2×C3×Q8—24no—
244C2×C3×Q8—44no—
245C2×C3×Q8C22×D314yes—
246C2×C3×Q8C22×D314yes—
247C22×C3×C4—21no—
248C22×C3×C4—22no—
249C22×C3×C4—31no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—34no—
255C22×C3×C4—64no—
256C22×C3×C4C22×D312yes—
257C22×C3×C4C22×D312yes—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C2×#67—38no—
261C2×#67—34no—
262C22×Dic3—31no—
263C22×Dic3—31no—
264C22×Dic3—32no—
265C22×Dic3—32no—
266C22×Dic3—38no—
267C22×Dic3—61no—
268C22×Dic3—62no—
269C22×Dic3—124no—
270C22×Dic3C22×D312yes—
271C22×Dic3C22×D311yescharacteristic
272C22×Dic3C22×D311yescharacteristic
273C22×Dic3C22×D312yes—
274C22×Dic3C22×D311yescharacteristic
275C2×D12—38no—
276C2×D12—34no—
277C2×C4×D3—24no—
278C2×C4×D3—34no—
279C2×C4×D3—34no—
280C2×C4×D3—38no—
281C2×C4×D3—38no—
282C2×C4×D3—38no—
283C2×C4×D3—64no—
284C2×C4×D3—64no—
285C2×C4×D3—64no—
286C2×C4×D3—124no—
287C2×C4×D3—124no—
288C2×C4×D3—124no—
289C2×C4×D3—124no—
290C2×C4×D3C22×D314yes—
291C2×Dic6—38no—
292C2×Dic6—38no—
293C2×Dic6—124no—
294C2×Dic6—124no—
295C3×C4⋊C4—34no—
296C3×C4⋊C4—38no—
297C3×C4⋊C4—34no—
298C3×C4⋊C4—38no—
299C3×C22⋊C4—38no—
300C3×C42—34no—
301C3×C42—38no—
302#217—34no—
303(C2×D3)⋊C4—34no—
304(C2×D3)⋊C4—38no—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—34no—
307(C2×D3)⋊C4—34no—
308(C2×D3)⋊C4—68no—
309(C2×D3)⋊C4C22×D318yes—
310C4⋊Dic3—34no—
311C4⋊Dic3—34no—
312C4⋊Dic3—38no—
313C4⋊Dic3—34no—
314C4⋊Dic3—38no—
315C4⋊Dic3—64no—
316C4⋊Dic3C22×D314yes—
317C4⋊Dic3C22×D318yes—
318C4⋊Dic3C22×D314yes—
319Dic3⋊C4—38no—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4—34no—
326Dic3⋊C4—68no—
327Dic3⋊C4C22×D318yes—
328C4×Dic3C22×D318yes—
329C4×Dic3C22×D314yes—
330C22×C32C22×Q812yes—
331C22×C32C2×#4112yes—
332C22×C32H(5,𝔽2)12yes—
333C22×C32C2511yescharacteristic
334C2×C3⋊D3—28no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3C22×Q814yes—
338C2×C3×D3—28no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3C22×Q814yes—
342C32×C4—24no—
343C32×C4C2×#4114yes—
344C3⋊Dic3—22no—
345C3⋊Dic3—24no—
346C3×Dic3—22no—
347C3×Dic3—24no—
348C3×Dic3—24no—
349C3×Dic3—22no—
350C3×Dic3C22×Q814yes—
351C22×Q8—92no—
352C22×Q8D3211yescharacteristic
353C22×D4—91no—
354C23×C4—31no—
355C23×C4—92no—
356C23×C4—92no—
357C23×C4—91no—
358C4⋊Q8—98no—
359#125—916no—
360C22⋊Q8—38no—
361C22⋊Q8—916no—
362C22⋊Q8—916no—
363C22⋊Q8—98no—
364C4×Q8—38no—
365C4×D4—916no—
366C4×D4—98no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—32no—
371C2×C4⋊C4—98no—
372C2×C4⋊C4—98no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—92no—
375C2×C4⋊C4—91no—
376C2×C4⋊C4—92no—
377C2×C4⋊C4—91no—
378C2×C4⋊C4—92no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—91no—
381C2×C22⋊C4—91no—
382C2×C22⋊C4—92no—
383C2×C42—32no—
384C2×C42—31no—
385C23×C3—21no—
386C23×C3—34no—
387C23×C3—32no—
388C23×C3—62no—
389C23×C3—62no—
390C23×C3C23×D311yescharacteristic
391C23×C3C23×D311yescharacteristic
392C22×D3—22no—
393C22×D3—22no—
394C22×D3—34no—
395C22×D3—34no—
396C22×D3—32no—
397C22×D3—32no—
398C22×D3—64no—
399C22×D3—62no—
400C22×D3—62no—
401C22×D3—62no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—122no—
405C22×D3—122no—
406C22×D3D3×Q814yes—
407C22×D3C23×D312yes—
408C3×Q8—28no—
409C3×Q8—28no—
410C3×Q8—48no—
411C2×C3×C4—24no—
412C2×C3×C4—24no—
413C2×C3×C4—22no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—34no—
417C2×C3×C4—32no—
418C2×C3×C4—34no—
419C2×C3×C4—34no—
420C2×C3×C4—32no—
421C2×C3×C4—32no—
422C2×C3×C4—44no—
423C2×C3×C4—62no—
424C2×C3×C4—62no—
425C2×C3×C4—64no—
426C2×C3×C4—64no—
427C2×C3×C4—68no—
428C2×C3×C4#23514yes—
429C2×C3×C4#23714yes—
430C2×C3×C4C23×D314yes—
431C2×C3×C4C23×D314yes—
432C2×C3×C4C23×D312yes—
433C2×C3×C4C23×D312yes—
434#67—316no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—24no—
438C2×Dic3—24no—
439C2×Dic3—32no—
440C2×Dic3—32no—
441C2×Dic3—34no—
442C2×Dic3—34no—
443C2×Dic3—62no—
444C2×Dic3—64no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—64no—
448C2×Dic3—64no—
449C2×Dic3—122no—
450C2×Dic3—124no—
451C2×Dic3—128no—
452C2×Dic3D3×Q814yes—
453C2×Dic3C23×D314yes—
454C2×Dic3C23×D312yes—
455C2×Dic3C23×D312yes—
456C2×Dic3C23×D314yes—
457C2×Dic3C23×D312yes—
458D12—316no—
459C4×D3—28no—
460C4×D3—68no—
461C4×D3—68no—
462C4×D3—128no—
463C4×D3—128no—
464C4×D3—128no—
465C4×D3—128no—
466Dic6—128no—
467Dic6—128no—
468C2×C32#55414yescomplemented
469C2×C32C23×Q811yescharacteristic
470C2×C32C22×#4111yescharacteristic
471C2×C32C2×H(5,𝔽2)11yescharacteristic
472C3⋊D3—24no—
473C3×D3—24no—
474C24—31no—
475C24—91no—
476C2×Q8—24no—
477C2×Q8—98no—
478C2×Q8—364no—
479C2×Q8C2×D3214yes—
480C2×D4—94no—
481C2×D4—98no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—32no—
485C22×C4—32no—
486C22×C4—31no—
487C22×C4—34no—
488C22×C4—64no—
489C22×C4—98no—
490C22×C4—98no—
491C22×C4—91no—
492C22×C4—92no—
493C22×C4—94no—
494C22×C4—184no—
495C22×C4—364no—
496C22×C4—364no—
497C22×C4C2×D3212yes—
498C22×C4C2×D3211yescharacteristic
499C4⋊C4—34no—
500C4⋊C4—34no—
501C4⋊C4—38no—
502C4⋊C4—38no—
503C4⋊C4—98no—
504C4⋊C4—98no—
505C4⋊C4—94no—
506C4⋊C4—98no—
507C4⋊C4—94no—
508C4⋊C4—98no—
509C22⋊C4—38no—
510C22⋊C4—94no—
511C22⋊C4—94no—
512C22⋊C4—98no—
513C42—38no—
514C42—34no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—21no—
519C22×C3—34no—
520C22×C3—62no—
521C22×C3—62no—
522C22×C3—68no—
523C22×C3C2×#23512yes—
524C22×C3C2×#23712yes—
525C22×C3C2×D3×Q812yes—
526C22×C3C2×D3×Q812yes—
527C22×C3#100912yes—
528C22×C3#100912yes—
529C22×C3C24×D311yescharacteristic
530C22×C3C24×D311yescharacteristic
531C2×D3—28no—
532C2×D3—22no—
533C2×D3—22no—
534C2×D3—34no—
535C2×D3—34no—
536C2×D3—64no—
537C2×D3—68no—
538C2×D3—62no—
539C2×D3—62no—
540C2×D3—62no—
541C2×D3—62no—
542C2×D3—68no—
543C2×D3—122no—
544C2×D3—128no—
545C2×D3—122no—
546C2×D3C2×D3×Q814yes—
547C3×C4—24no—
548C3×C4—24no—
549C3×C4—24no—
550C3×C4—34no—
551C3×C4—44no—
552C3×C4—62no—
553C3×C4—62no—
554C3×C4—64no—
555C3×C4—64no—
556C3×C4C2×#23514yes—
557C3×C4C2×#23714yes—
558Dic3—22no—
559Dic3—22no—
560Dic3—24no—
561Dic3—24no—
562Dic3—62no—
563Dic3—62no—
564Dic3—64no—
565Dic3—64no—
566Dic3—122no—
567Dic3—124no—
568Dic3C2×D3×Q814yes—
569C32C2×#55411yescharacteristic, complemented, Sylow
570C23—34no—
571C23—32no—
572C23—62no—
573C23—62no—
574C23—94no—
575C23—92no—
576C23—182no—
577C23—182no—
578C23C22×D3211yescharacteristic
579Q8—28no—
580Q8—368no—
581D4—916no—
582C2×C4—24no—
583C2×C4—34no—
584C2×C4—32no—
585C2×C4—32no—
586C2×C4—34no—
587C2×C4—34no—
588C2×C4—32no—
589C2×C4—64no—
590C2×C4—64no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—68no—
594C2×C4—92no—
595C2×C4—94no—
596C2×C4—184no—
597C2×C4—182no—
598C2×C4—188no—
599C2×C4—368no—
600C2×C4—368no—
601C2×C4#380414yes—
602C2×C4C22×D3214yes—
603C2×C4C22×D3212yes—
604C2×C3—24no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—64no—
609C2×C3#557914yescomplemented
610C2×C3#563514yescomplemented
611C2×C3C22×#23511yescharacteristic
612C2×C3C22×#23711yescharacteristic
613C2×C3C22×D3×Q811yescharacteristic
614C2×C3C22×D3×Q811yescharacteristic
615C2×C3C2×#100911yescharacteristic
616C2×C3C2×#100911yescharacteristic
617D3—24no—
618D3—64no—
619D3—64no—
620D3—124no—
621C22—34no—
622C22—68no—
623C22—62no—
624C22—62no—
625C22—94no—
626C22—188no—
627C22—182no—
628C22—182no—
629C22D32×Q812yes—
630C22#6432012yes—
631C22C2×#380412yes—
632C22C23×D3211yescharacteristic
633C4—24no—
634C4—34no—
635C4—64no—
636C4—64no—
637C4—62no—
638C4—62no—
639C4—184no—
640C4—182no—
641C4C2×#380414yes—
642C3—21no—
643C3C2×#557911yescharacteristic, complemented
644C3C2×#563511yescharacteristic, complemented
645C2—64no—
646C2—184no—
647C2#1059537114yesdirect product factor
648C2C2×D32×Q811yescharacteristic
649C2C2×#6432011yescharacteristic
650C2C22×#380411yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×Q8C22
socleC23×C32C24
prime radicalC22×#626C22
hypercenterC22×Q8D32
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C2×#64155C2semidirect
2. C2×C3×#946C2semidirect
3. C2×C3×Q8×Dic3C2semidirect
4. #10595371C2direct (N × H)
5. C2×#63918C2semidirect
7. C2×#63900C2semidirect
8. C2×#63899C2semidirect
9. C2×#63895C2semidirect
10. C2×D3×C4⋊Dic3C2semidirect
12. C2×#63867C2semidirect
22. #64155C22semidirect
26. C3×#946C22semidirect
27. C3×Q8×Dic3C22semidirect
41. #63918C22semidirect
43. #63900C22semidirect
44. #63899C22semidirect
45. #63895C22semidirect
46. D3×C4⋊Dic3C22semidirect
48. #63867C22semidirect
54. C2×#946D3semidirect
55. C2×Q8×Dic3D3semidirect
93. C2×#626Q8semidirect
145. #946C2×D3semidirect
146. Q8×Dic3C2×D3semidirect
221. #626C2×Q8semidirect
468. C2×C32#554semidirect
569. C32C2×#554semidirect
609. C2×C3#5579semidirect
610. C2×C3#5635semidirect
643. C3C2×#5579semidirect
644. C3C2×#5635semidirect
647. C2#10595371direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641552
C2×C3×#9462
C2×C3×Q8×Dic32
#105953712
C2×#639182
C2×C4×#6262
C2×#639002
C2×#638992
C2×#638952
C2×D3×C4⋊Dic32
C2×#638802
C2×#638672
C2×#56353
C2×#55793