Finite Group Databasebeta

← C2×#10594532 #11903277

Subgroups — C2×#10594532 #11903277

Order 1152.

2545 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64097C211yesmaximal, characteristic, complemented
2C2×C3×#897C211yesmaximal, characteristic, complemented
3C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
4C2×C4×#625C211yesmaximal, characteristic
5C2×#63896C212yesmaximal, complemented
6C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
7C2×#63879C212yesmaximal
8C2×#63857C212yesmaximal, complemented
9C2×#63856C211yesmaximal, characteristic, complemented
10C2×#63847C212yesmaximal, complemented
11C2×#63843C211yesmaximal, characteristic, complemented
12#10594532C2116yesmaximal, direct product factor
13C2×#5635—31nomaximal
14C2×#5511—31nomaximal
15C22×#634C2212yes—
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×Dic6C2211yescharacteristic
20C22×#625C2211yescharacteristic
21C22×D3×Dic3C2212yes—
22C2×C32×C4⋊C4C2211yescharacteristic
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C2×#3750C2212yes—
25C2×C4×C3⋊Dic3C2211yescharacteristic
26#64097C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×C4⋊Dic3C2212yes—
30C2×C3×Dic3⋊C4C2212yes—
31C3×#897C2218yescomplemented
32C3×D3×C4⋊C4C2218yescomplemented
33C2×#3724C2211yescharacteristic
34C2×#3724C2212yes—
35C2×Dic3⋊Dic3C2212yes—
36C2×Dic3⋊Dic3C2212yes—
37C2×(C2×D3)⋊Dic3C2212yes—
38C2×(C2×D3)⋊Dic3C2211yescharacteristic
39C2×(C2×D3)⋊Dic3C2211yescharacteristic
40C2×Dic32C2212yes—
41C4×#625C2218yes—
42#63896C22116yescomplemented
43D3×C4⋊Dic3C2218yescomplemented
44#63879C22116yes—
45#63857C22116yescomplemented
46#63856C2218yescomplemented
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—
56C22×C4⋊Dic3—31no—
57C2×#924—31no—
58C2×#924—32no—
59#5635—316no—
60#5511—316no—
61C2×#897—32no—
62C2×#897D311yescharacteristic, complemented
63C2×#896—32no—
64C2×D3×C4⋊C4—31no—
65C2×D3×C4⋊C4D311yescharacteristic, complemented
66C2×#889—32no—
67C2×#889—32no—
68C2×#888—31no—
69C2×#888—31no—
70C2×#888—61no—
71C2×#887—31no—
72C2×#67⋊C4—32no—
73C2×#878—32no—
74C23×C3×D3C2311yescharacteristic
75C23×C3×D3C2311yescharacteristic
76C22×C32×C4C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3C2312yes—
79C22×C3⋊Dic3C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C2×#634—44no—
82C2×#634C2318yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C2×C3×C4×D3—24no—
88C2×C3×C4×D3—24no—
89C2×C3×C4×D3—44no—
90C2×C3×C4×D3C2314yes—
91C2×C3×C4×D3C2314yes—
92C2×C3×C4×D3C2318yes—
93C2×C3×Dic6—24no—
94C2×C3×Dic6C2314yes—
95C2×#625Q818yescomplemented
96C2×#625C2314yes—
97C2×D3×Dic3—44no—
98C2×D3×Dic3C2318yes—
99C32×C4⋊C4C2314yes—
100C4⋊(C3⋊Dic3)C2314yes—
101#3750C2318yes—
102C4×C3⋊Dic3C2314yes—
103C3×(C2×D3)⋊C4C2318yes—
104C3×C4⋊Dic3C2314yes—
105C3×C4⋊Dic3C2318yes—
106C3×Dic3⋊C4C2318yes—
107#3724C2314yes—
108#3724C2318yes—
109Dic3⋊Dic3C2318yes—
110Dic3⋊Dic3C2318yes—
111(C2×D3)⋊Dic3C2318yes—
112(C2×D3)⋊Dic3C2314yes—
113(C2×D3)⋊Dic3C2314yes—
114Dic32C2318yes—
115C2×#554—91noSylow
116C22×C3×Q8—31no—
117C23×C3×C4—31no—
118C23×C3×C4—31no—
119C23×C3×C4—32no—
120C22×#67—31no—
121C22×#67—31no—
122C23×Dic3—32no—
123C22×C4×D3—32no—
124C22×C4×D3C2×D311yescharacteristic
125C22×C4×D3C2×D311yescharacteristic
126C22×C4×D3C2×D312yes—
127C22×Dic6—32no—
128C22×Dic6—32no—
129C22×Dic6—62no—
130C22×Dic6C2×D311yescharacteristic
131C3×C22⋊Q8—38no—
132C2×C3×C4⋊C4—21no—
133C2×C3×C4⋊C4—32no—
134C2×C3×C4⋊C4—31no—
135C2×C3×C4⋊C4—32no—
136C2×C3×C4⋊C4—38no—
137C2×C3×C4⋊C4C2×D311yescharacteristic
138C2×C3×C4⋊C4C2×D311yescharacteristic
139C2×C3×C22⋊C4—32no—
140C2×#217—31no—
141C2×#217—31no—
142C2×#217—32no—
143#946—38no—
144Q8×Dic3—38no—
145C4×#67—38no—
146C4×#67—38no—
147C4×#67—316no—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4—31no—
150C2×(C2×D3)⋊C4—31no—
151C2×(C2×D3)⋊C4C2×D312yes—
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—31no—
154C2×C4⋊Dic3—32no—
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—38no—
157C2×C4⋊Dic3—61no—
158C2×C4⋊Dic3C2×D312yes—
159C2×C4⋊Dic3C2×D311yescharacteristic
160#924—38no—
161#924—316no—
162C2×Dic3⋊C4—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—31no—
167C2×Dic3⋊C4—31no—
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—62no—
171C2×Dic3⋊C4C2×D312yes—
172C2×C4×Dic3—31no—
173C2×C4×Dic3—31no—
174C2×C4×Dic3—32no—
175C2×C4×Dic3—32no—
176C2×C4×Dic3—61no—
177#897—316no—
178#897C2×D318yescomplemented
179#896—316no—
180D3×C4⋊C4—38no—
181D3×C4⋊C4C2×D318yescomplemented
182#889—316no—
183#889—316no—
184#888—38no—
185#888—38no—
186#888—68no—
187#887—38no—
188#67⋊C4—316no—
189#878—316no—
190C23×C32C2411yescharacteristic
191C22×C3×D3—22no—
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—22no—
195C22×C3×D3C2×Q814yes—
196C22×C3×D3C2×Q814yes—
197C22×C3×D3C2412yes—
198C22×C3×D3C2412yes—
199C2×C32×C4—24no—
200C2×C32×C4#4114yes—
201C2×C32×C4C2414yes—
202C2×C32×C4C2412yes—
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3—24no—
205C2×C3⋊Dic3C2×Q814yes—
206C2×C3⋊Dic3C2412yes—
207C2×C3⋊Dic3C2414yes—
208C2×C3⋊Dic3C2412yes—
209#634—48no—
210C2×C3×Dic3—24no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3C2414yes—
215C2×C3×Dic3C2414yes—
216C2×C3×Dic3C2412yes—
217C2×C3×Dic3C2412yes—
218C3×C4×D3—28no—
219C3×C4×D3—28no—
220C3×C4×D3—48no—
221C3×Dic6—28no—
222#625C2×Q8116yescomplemented
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—91no—
232C2×C4×D4—92no—
233C2×C4×D4—91no—
234C22×C4⋊C4—31no—
235C22×C4⋊C4—91no—
236C24×C3—31no—
237C24×C3—31no—
238C23×D3C22×D311yescharacteristic
239C23×D3C22×D311yescharacteristic
240C2×C3×Q8—34no—
241C2×C3×Q8—64no—
242C22×C3×C4—21no—
243C22×C3×C4—22no—
244C22×C3×C4—32no—
245C22×C3×C4—32no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—34no—
249C22×C3×C4—34no—
250C22×C3×C4—38no—
251C22×C3×C4—64no—
252C22×C3×C4—64no—
253C22×C3×C4—124no—
254C22×C3×C4C22×D312yes—
255C22×C3×C4C22×D312yes—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C2×#67—38no—
259C2×#67—38no—
260C2×#67—34no—
261C2×#67—34no—
262C22×Dic3—31no—
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—31no—
266C22×Dic3—32no—
267C22×Dic3—32no—
268C22×Dic3—38no—
269C22×Dic3—61no—
270C22×Dic3—61no—
271C22×Dic3—62no—
272C22×Dic3—124no—
273C22×Dic3C22×D312yes—
274C22×Dic3C22×D312yes—
275C22×Dic3C22×D311yescharacteristic
276C22×Dic3C22×D311yescharacteristic
277C2×C4×D3—24no—
278C2×C4×D3—24no—
279C2×C4×D3—38no—
280C2×C4×D3—44no—
281C2×C4×D3—124no—
282C2×C4×D3C22×D314yes—
283C2×C4×D3C22×D314yes—
284C2×C4×D3C22×D318yes—
285C2×Dic6—24no—
286C2×Dic6—38no—
287C2×Dic6—38no—
288C2×Dic6—68no—
289C2×Dic6—124no—
290C2×Dic6—124no—
291C2×Dic6—128no—
292C2×Dic6C22×D314yes—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—34no—
295C3×C4⋊C4—38no—
296C3×C4⋊C4—38no—
297C3×C4⋊C4C22×D314yes—
298C3×C4⋊C4C22×D314yes—
299C3×C22⋊C4—38no—
300#217—34no—
301#217—34no—
302#217—38no—
303(C2×D3)⋊C4—38no—
304(C2×D3)⋊C4—34no—
305(C2×D3)⋊C4—34no—
306(C2×D3)⋊C4C22×D318yes—
307C4⋊Dic3—34no—
308C4⋊Dic3—34no—
309C4⋊Dic3—38no—
310C4⋊Dic3—38no—
311C4⋊Dic3—64no—
312C4⋊Dic3C22×D318yes—
313C4⋊Dic3C22×D314yes—
314Dic3⋊C4—38no—
315Dic3⋊C4—38no—
316Dic3⋊C4—38no—
317Dic3⋊C4—38no—
318Dic3⋊C4—34no—
319Dic3⋊C4—34no—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—68no—
323Dic3⋊C4C22×D318yes—
324C4×Dic3—34no—
325C4×Dic3—34no—
326C4×Dic3—38no—
327C4×Dic3—38no—
328C4×Dic3—64no—
329C22×C32C22×Q812yes—
330C22×C32C2×#4112yes—
331C22×C32H(5,𝔽2)12yes—
332C22×C32C2511yescharacteristic
333C2×C3×D3—28no—
334C2×C3×D3—28no—
335C2×C3×D3—22no—
336C2×C3×D3—22no—
337C2×C3×D3—22no—
338C2×C3×D3—22no—
339C2×C3×D3C22×Q814yes—
340C2×C3×D3C22×Q814yes—
341C32×C4—24no—
342C32×C4C2×#4114yes—
343C3⋊Dic3—22no—
344C3⋊Dic3—24no—
345C3⋊Dic3C22×Q814yes—
346C3×Dic3—24no—
347C3×Dic3—22no—
348C3×Dic3—22no—
349C3×Dic3—24no—
350C22×Q8—31no—
351C22×Q8—92no—
352C22×D4—91no—
353C23×C4—31no—
354C23×C4—31no—
355C23×C4—32no—
356C23×C4—92no—
357C4⋊Q8—98no—
358#125—916no—
359C22⋊Q8—38no—
360C22⋊Q8—916no—
361C22⋊Q8—916no—
362C22⋊Q8—98no—
363C4×Q8—98no—
364C4×D4—916no—
365C4×D4—98no—
366C2×C4⋊C4—31no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—38no—
370C2×C4⋊C4—98no—
371C2×C4⋊C4—92no—
372C2×C4⋊C4—91no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—92no—
375C2×C4⋊C4—91no—
376C2×C4⋊C4—92no—
377C2×C4⋊C4D3211yescharacteristic
378C2×C22⋊C4—32no—
379C2×C22⋊C4—92no—
380C2×C22⋊C4—91no—
381C2×C22⋊C4—91no—
382C2×C42—92no—
383C2×C42—91no—
384C23×C3—21no—
385C23×C3—34no—
386C23×C3—34no—
387C23×C3—32no—
388C23×C3—32no—
389C23×C3—62no—
390C23×C3—62no—
391C23×C3—62no—
392C23×C3—62no—
393C23×C3C23×D311yescharacteristic
394C23×C3C23×D311yescharacteristic
395C22×D3—22no—
396C22×D3—22no—
397C22×D3—22no—
398C22×D3—22no—
399C22×D3D3×Q814yes—
400C22×D3D3×Q814yes—
401C22×D3C23×D312yes—
402C22×D3C23×D312yes—
403C3×Q8—68no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—22no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—34no—
410C2×C3×C4—34no—
411C2×C3×C4—32no—
412C2×C3×C4—32no—
413C2×C3×C4—44no—
414C2×C3×C4—62no—
415C2×C3×C4—64no—
416C2×C3×C4—62no—
417C2×C3×C4—64no—
418C2×C3×C4—68no—
419C2×C3×C4—68no—
420C2×C3×C4—128no—
421C2×C3×C4#23514yes—
422C2×C3×C4#23714yes—
423C2×C3×C4C23×D314yes—
424C2×C3×C4C23×D314yes—
425C2×C3×C4C23×D312yes—
426C2×C3×C4C23×D312yes—
427#67—316no—
428#67—316no—
429C2×Dic3—22no—
430C2×Dic3—24no—
431C2×Dic3—22no—
432C2×Dic3—24no—
433C2×Dic3—34no—
434C2×Dic3—34no—
435C2×Dic3—32no—
436C2×Dic3—32no—
437C2×Dic3—32no—
438C2×Dic3—32no—
439C2×Dic3—34no—
440C2×Dic3—34no—
441C2×Dic3—64no—
442C2×Dic3—62no—
443C2×Dic3—62no—
444C2×Dic3—64no—
445C2×Dic3—64no—
446C2×Dic3—62no—
447C2×Dic3—64no—
448C2×Dic3—62no—
449C2×Dic3—64no—
450C2×Dic3—124no—
451C2×Dic3—128no—
452C2×Dic3C23×D314yes—
453C2×Dic3C23×D314yes—
454C2×Dic3C23×D312yes—
455C2×Dic3C23×D312yes—
456C4×D3—28no—
457C4×D3—28no—
458C4×D3—48no—
459C4×D3—128no—
460Dic6—28no—
461Dic6—128no—
462Dic6—128no—
463Dic6—1216no—
464C2×C32#55414yescomplemented
465C2×C32C23×Q811yescharacteristic
466C2×C32C22×#4111yescharacteristic
467C2×C32C2×H(5,𝔽2)11yescharacteristic
468C3×D3—24no—
469C3×D3—24no—
470C24—31no—
471C24—31no—
472C2×Q8—34no—
473C2×Q8—64no—
474C2×Q8—98no—
475C2×Q8—364no—
476C2×D4—94no—
477C2×D4—98no—
478C22×C4—32no—
479C22×C4—32no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—34no—
483C22×C4—34no—
484C22×C4—38no—
485C22×C4—64no—
486C22×C4—64no—
487C22×C4—98no—
488C22×C4—91no—
489C22×C4—91no—
490C22×C4—92no—
491C22×C4—124no—
492C22×C4—364no—
493C22×C4C2×D3212yes—
494C22×C4C2×D3211yescharacteristic
495C4⋊C4—34no—
496C4⋊C4—38no—
497C4⋊C4—38no—
498C4⋊C4—98no—
499C4⋊C4—94no—
500C4⋊C4—98no—
501C4⋊C4—98no—
502C4⋊C4—94no—
503C4⋊C4—98no—
504C4⋊C4C2×D3214yes—
505C22⋊C4—38no—
506C22⋊C4—98no—
507C22⋊C4—94no—
508C22⋊C4—94no—
509C42—98no—
510C42—94no—
511C22×C3—22no—
512C22×C3—22no—
513C22×C3—22no—
514C22×C3—21no—
515C22×C3—34no—
516C22×C3—34no—
517C22×C3—68no—
518C22×C3—62no—
519C22×C3—62no—
520C22×C3—62no—
521C22×C3—62no—
522C22×C3—68no—
523C22×C3C2×#23512yes—
524C22×C3C2×#23712yes—
525C22×C3#100412yes—
526C22×C3C2×D3×Q812yes—
527C22×C3C2×D3×Q812yes—
528C22×C3#100912yes—
529C22×C3C24×D311yescharacteristic
530C22×C3C24×D311yescharacteristic
531C2×D3—28no—
532C2×D3—22no—
533C2×D3—22no—
534C2×D3—22no—
535C2×D3—22no—
536C2×D3—28no—
537C2×D3C2×D3×Q814yes—
538C2×D3C2×D3×Q814yes—
539C3×C4—24no—
540C3×C4—24no—
541C3×C4—24no—
542C3×C4—44no—
543C3×C4—62no—
544C3×C4—64no—
545C3×C4—62no—
546C3×C4—64no—
547C3×C4C2×#23514yes—
548C3×C4C2×#23714yes—
549Dic3—22no—
550Dic3—24no—
551Dic3—22no—
552Dic3—24no—
553Dic3—34no—
554Dic3—34no—
555Dic3—64no—
556Dic3—64no—
557Dic3—62no—
558Dic3—64no—
559Dic3—62no—
560Dic3—64no—
561Dic3—124no—
562C32C2×#55411yescharacteristic, complemented, Sylow
563C23—34no—
564C23—34no—
565C23—32no—
566C23—32no—
567C23—62no—
568C23—62no—
569C23—62no—
570C23—62no—
571C23C22×D3211yescharacteristic
572Q8—68no—
573Q8—368no—
574D4—916no—
575C2×C4—24no—
576C2×C4—34no—
577C2×C4—34no—
578C2×C4—32no—
579C2×C4—32no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—64no—
583C2×C4—64no—
584C2×C4—68no—
585C2×C4—68no—
586C2×C4—94no—
587C2×C4—92no—
588C2×C4—92no—
589C2×C4—94no—
590C2×C4—128no—
591C2×C4—184no—
592C2×C4—182no—
593C2×C4—368no—
594C2×C4#379514yes—
595C2×C4C22×D3214yes—
596C2×C4C22×D3212yes—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—24no—
601C2×C3—64no—
602C2×C3—64no—
603C2×C3#551114yescomplemented
604C2×C3#563514yescomplemented
605C2×C3C22×#23511yescharacteristic
606C2×C3C22×#23711yescharacteristic
607C2×C3C2×#100411yescharacteristic
608C2×C3C22×D3×Q811yescharacteristic
609C2×C3C22×D3×Q811yescharacteristic
610C2×C3C2×#100911yescharacteristic
611D3—24no—
612D3—24no—
613C22—34no—
614C22—34no—
615C22—62no—
616C22—62no—
617C22—62no—
618C22—62no—
619C22—68no—
620C22—68no—
621C22C2×#379512yes—
622C22#6431412yes—
623C22D32×Q812yes—
624C22C23×D3211yescharacteristic
625C4—24no—
626C4—62no—
627C4—62no—
628C4—64no—
629C4—64no—
630C4—94no—
631C4—184no—
632C4—182no—
633C4C2×#379514yes—
634C3—21no—
635C3C2×#551111yescharacteristic, complemented
636C3C2×#563511yescharacteristic, complemented
637C2—64no—
638C2—64no—
639C2#1059453214yesdirect product factor
640C2C22×#379511yescharacteristic
641C2C2×#6431411yescharacteristic
642C2C2×D32×Q811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC22×#625C22
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64097C2semidirect
2. C2×C3×#897C2semidirect
3. C2×C3×D3×C4⋊C4C2semidirect
5. C2×#63896C2semidirect
6. C2×D3×C4⋊Dic3C2semidirect
8. C2×#63857C2semidirect
9. C2×#63856C2semidirect
10. C2×#63847C2semidirect
11. C2×#63843C2semidirect
12. #10594532C2direct (N × H)
26. #64097C22semidirect
31. C3×#897C22semidirect
32. C3×D3×C4⋊C4C22semidirect
42. #63896C22semidirect
43. D3×C4⋊Dic3C22semidirect
45. #63857C22semidirect
46. #63856C22semidirect
47. #63847C22semidirect
48. #63843C22semidirect
62. C2×#897D3semidirect
65. C2×D3×C4⋊C4D3semidirect
95. C2×#625Q8semidirect
178. #897C2×D3semidirect
181. D3×C4⋊C4C2×D3semidirect
222. #625C2×Q8semidirect
464. C2×C32#554semidirect
562. C32C2×#554semidirect
603. C2×C3#5511semidirect
604. C2×C3#5635semidirect
635. C3C2×#5511semidirect
636. C3C2×#5635semidirect
639. C2#10594532direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#640972
C2×C3×#8972
C2×C3×D3×C4⋊C42
C2×C4×#6252
C2×#638962
C2×D3×C4⋊Dic32
C2×#638792
C2×#638572
C2×#638562
C2×#638472
C2×#638432
#105945322
C2×#56353
C2×#55113