Finite Group Databasebeta

← C2×#10594624 #11900336

Subgroups — C2×#10594624 #11900336

Order 1152.

3889 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D32C211yesmaximal, characteristic
2C22×#3797C211yesmaximal, characteristic, complemented
3C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
4C2×C3×#896C212yesmaximal, complemented
5C2×#63921C211yesmaximal, characteristic
6C2×#63921C211yesmaximal, characteristic
7C2×#63893C212yesmaximal, complemented
8C2×#63887C212yesmaximal, complemented
9C2×#63883C211yesmaximal, characteristic, complemented
10C2×#63883C211yesmaximal, characteristic, complemented
11C2×#63851C212yesmaximal, complemented
12#10594624C2116yesmaximal, direct product factor
13C2×D3×C22⋊Q8—32nomaximal
14C23×D32C2211yescharacteristic
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×Dic6C2212yescomplemented
20C22×#627C2212yescomplemented
21C22×#624C2211yescharacteristic
22C22×#624C2211yescharacteristic
23C22×#624C2211yescharacteristic
24C22×D3×Dic3C2212yes—
25C2×C4×D32—28no—
26C2×C4×D32C2218yes—
27C2×#3797—28no—
28C2×#3797C2218yescomplemented
29C2×C32×C4⋊C4C2211yescharacteristic, complemented
30C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
31C2×#3750C2211yescharacteristic, complemented
32C2×#3750C2211yescharacteristic, complemented
33C4⋊C4×C3⋊D3C2218yescomplemented
34C2×C3×(C2×D3)⋊C4C2212yes—
35C2×C3×(C2×D3)⋊C4C2212yes—
36C2×C3×Dic3⋊C4C2212yescomplemented
37C2×C3×Dic3⋊C4C2212yescomplemented
38C3×#896C22116yescomplemented
39C2×Dic3⋊Dic3C2212yescomplemented
40C2×Dic3⋊Dic3C2212yescomplemented
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×(C2×D3)⋊Dic3C2212yes—
43#63921C2218yes—
44#63921C2218yes—
45#63893C22116yescomplemented
46#63887C22116yescomplemented
47#63883C2218yescomplemented
48#63883C2218yescomplemented
49#63851C22116yescomplemented
50C22×D3×Q8—32no—
51C23×C4×D3—32no—
52C2×C3×C22⋊Q8—32no—
53C2×#946—32no—
54C2×#924—32no—
55D3×C22⋊Q8—332no—
56C2×#897—32no—
57C2×#896—32no—
58C2×#896D312yescomplemented
59C2×D3×C4⋊C4—32no—
60C2×D3×C4⋊C4—32no—
61C2×D3×C4⋊C4—32no—
62C2×D3×C4⋊C4—61no—
63C2×D3×C22⋊C4—32no—
64C2×D3×C22⋊C4—32no—
65C2×#878—32no—
66C2×#878—32no—
67C23×C3⋊D3C2311yescharacteristic
68C23×C3×D3C2312yes—
69C22×D32—24no—
70C22×D32—24no—
71C22×D32Q818yescomplemented
72C22×D32C2314yes—
73C22×C32×C4C2311yescharacteristic
74C22×C32×C4C2311yescharacteristic
75C22×C32×C4C2311yescharacteristic
76C22×C3⋊Dic3C2311yescharacteristic
77C22×C3⋊Dic3C2311yescharacteristic
78C22×C3⋊Dic3C2311yescharacteristic
79C2×C4×C3⋊D3—24no—
80C2×C4×C3⋊D3—24no—
81C2×C4×C3⋊D3—24no—
82C2×C4×C3⋊D3C2314yes—
83C2×C4×C3⋊D3C2314yes—
84C2×C4×C3⋊D3C2314yes—
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2312yes—
88C2×C3×C4×D3—28no—
89C2×C3×C4×D3C2318yes—
90C2×C3×Dic6—28no—
91C2×C3×Dic6C2318yescomplemented
92C2×#627—28no—
93C2×#627C2318yescomplemented
94C2×#624—24no—
95C2×#624—24no—
96C2×#624D418yes—
97C2×#624C2314yes—
98C2×#624C2314yes—
99C2×#624C2314yes—
100C2×D3×Dic3—28no—
101C2×D3×Dic3C2318yes—
102C4×D32—232no—
103#3797—232no—
104C32×C4⋊C4C2314yescomplemented
105C4⋊(C3⋊Dic3)C2314yescomplemented
106#3750C2314yescomplemented
107#3750C2314yescomplemented
108C3×(C2×D3)⋊C4C2318yes—
109C3×(C2×D3)⋊C4C2318yes—
110C3×Dic3⋊C4C2318yescomplemented
111C3×Dic3⋊C4C2318yescomplemented
112Dic3⋊Dic3C2318yescomplemented
113Dic3⋊Dic3C2318yescomplemented
114(C2×D3)⋊Dic3C2318yes—
115(C2×D3)⋊Dic3C2318yes—
116C22×C22⋊Q8—91noSylow
117C24×D3—32no—
118C22×C3×Q8—32no—
119C23×C3×C4—32no—
120C23×Dic3—32no—
121C2×D3×Q8—316no—
122C2×D3×Q8—616no—
123C22×C4×D3—32no—
124C22×C4×D3—32no—
125C22×C4×D3—32no—
126C22×C4×D3—32no—
127C22×C4×D3—32no—
128C22×C4×D3—32no—
129C22×C4×D3—32no—
130C22×C4×D3—316no—
131C22×C4×D3—61no—
132C22×C4×D3—61no—
133C22×C4×D3—61no—
134C22×C4×D3—616no—
135C22×C4×D3C2×D312yes—
136C22×Dic6—32no—
137C22×Dic6—32no—
138C22×Dic6C2×D312yescomplemented
139C3×C22⋊Q8—316no—
140C2×C3×C4⋊C4—21no—
141C2×C3×C4⋊C4—32no—
142C2×C3×C4⋊C4—32no—
143C2×C3×C4⋊C4C2×D312yescomplemented
144C2×C3×C22⋊C4—32no—
145C2×C3×C22⋊C4—32no—
146C2×#217—32no—
147C2×#217—32no—
148#946—316no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4C2×D312yes—
152C2×(C2×D3)⋊C4C2×D312yes—
153C2×C4⋊Dic3—32no—
154C2×C4⋊Dic3—32no—
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—61no—
157#924—316no—
158C2×Dic3⋊C4—32no—
159C2×Dic3⋊C4—32no—
160C2×Dic3⋊C4—32no—
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4—61no—
163C2×Dic3⋊C4—61no—
164C2×Dic3⋊C4C2×D312yescomplemented
165C2×Dic3⋊C4C2×D312yescomplemented
166#897—316no—
167#896—316no—
168#896C2×D3116yescomplemented
169D3×C4⋊C4—316no—
170D3×C4⋊C4—316no—
171D3×C4⋊C4—316no—
172D3×C4⋊C4—68no—
173D3×C22⋊C4—316no—
174D3×C22⋊C4—316no—
175#878—316no—
176#878—316no—
177C23×C32C2411yescharacteristic
178C22×C3⋊D3C2×D414yes—
179C22×C3⋊D3C2×Q814yes—
180C22×C3⋊D3#4114yes—
181C22×C3⋊D3C2412yes—
182C22×C3×D3—24no—
183C22×C3×D3—24no—
184C22×C3×D3C2×Q818yescomplemented
185C22×C3×D3C2414yes—
186C2×D32—232no—
187C2×D32—28no—
188C2×D32—28no—
189C2×D32C2×Q8116yescomplemented
190C2×C32×C4—22no—
191C2×C32×C4—22no—
192C2×C32×C4—22no—
193C2×C32×C4C2412yes—
194C2×C32×C4C2412yes—
195C2×C32×C4C2412yes—
196C2×C3⋊Dic3—22no—
197C2×C3⋊Dic3—22no—
198C2×C3⋊Dic3—22no—
199C2×C3⋊Dic3C2412yes—
200C2×C3⋊Dic3C2412yes—
201C2×C3⋊Dic3C2412yes—
202C4×C3⋊D3—28no—
203C4×C3⋊D3—28no—
204C4×C3⋊D3—28no—
205C2×C3×Dic3—24no—
206C2×C3×Dic3—24no—
207C2×C3×Dic3C2×D418yes—
208C2×C3×Dic3C2414yes—
209C2×C3×Dic3C2414yes—
210C2×C3×Dic3C2414yes—
211C3×C4×D3—216no—
212C3×Dic6—216no—
213#627—216no—
214#624—28no—
215#624—28no—
216#624C2×D4116yes—
217D3×Dic3—216no—
218C23×Q8—91no—
219C24×C4—91no—
220C2×C22⋊Q8—32no—
221C2×C22⋊Q8—92no—
222C2×C22⋊Q8—92no—
223C2×C22⋊Q8—92no—
224C2×C22⋊Q8—916no—
225C22×C4⋊C4—91no—
226C22×C4⋊C4—91no—
227C22×C4⋊C4—91no—
228C22×C22⋊C4—91no—
229C22×C22⋊C4—91no—
230C24×C3—32no—
231C23×D3—32no—
232C23×D3—316no—
233C23×D3—38no—
234C23×D3—61no—
235C23×D3—68no—
236C23×D3—68no—
237C23×D3C22×D312yes—
238C2×C3×Q8—38no—
239C2×C3×Q8—68no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—32no—
244C22×C3×C4—32no—
245C22×C3×C4—32no—
246C22×C3×C4—38no—
247C22×C3×C4—68no—
248C22×C3×C4C22×D312yes—
249C22×C3×C4C22×D312yes—
250C22×C3×C4C22×D312yes—
251C22×Dic3—32no—
252C22×Dic3—32no—
253C22×Dic3—32no—
254C22×Dic3—38no—
255C22×Dic3—61no—
256C22×Dic3—61no—
257C22×Dic3—61no—
258C22×Dic3—68no—
259C22×Dic3C22×D312yes—
260C22×Dic3C22×D312yes—
261C22×Dic3C22×D312yes—
262D3×Q8—664no—
263C2×C4×D3—28no—
264C2×C4×D3—316no—
265C2×C4×D3—38no—
266C2×C4×D3—38no—
267C2×C4×D3—38no—
268C2×C4×D3—38no—
269C2×C4×D3—38no—
270C2×C4×D3—38no—
271C2×C4×D3—38no—
272C2×C4×D3—64no—
273C2×C4×D3—64no—
274C2×C4×D3—64no—
275C2×C4×D3—664no—
276C2×C4×D3—68no—
277C2×C4×D3—68no—
278C2×C4×D3—68no—
279C2×C4×D3—68no—
280C2×C4×D3—68no—
281C2×C4×D3—68no—
282C2×C4×D3—68no—
283C2×C4×D3—124no—
284C2×C4×D3—124no—
285C2×C4×D3C22×D318yes—
286C2×Dic6—28no—
287C2×Dic6—38no—
288C2×Dic6—38no—
289C2×Dic6—68no—
290C2×Dic6—68no—
291C2×Dic6C22×D318yescomplemented
292C3×C4⋊C4—24no—
293C3×C4⋊C4—38no—
294C3×C4⋊C4—38no—
295C3×C4⋊C4C22×D318yescomplemented
296C3×C22⋊C4—38no—
297C3×C22⋊C4—38no—
298#217—38no—
299#217—38no—
300(C2×D3)⋊C4—38no—
301(C2×D3)⋊C4—38no—
302(C2×D3)⋊C4C22×D318yes—
303(C2×D3)⋊C4C22×D318yes—
304C4⋊Dic3—38no—
305C4⋊Dic3—38no—
306C4⋊Dic3—38no—
307C4⋊Dic3—64no—
308Dic3⋊C4—38no—
309Dic3⋊C4—38no—
310Dic3⋊C4—38no—
311Dic3⋊C4—38no—
312Dic3⋊C4—64no—
313Dic3⋊C4—64no—
314Dic3⋊C4C22×D318yescomplemented
315Dic3⋊C4C22×D318yescomplemented
316C22×C32C22×D412yes—
317C22×C32C22×Q812yes—
318C22×C32C2×#4112yes—
319C22×C32C2511yescharacteristic
320C2×C3⋊D3C22⋊Q8116yescomplemented
321C2×C3⋊D3C22×D414yes—
322C2×C3⋊D3C22×Q814yes—
323C2×C3⋊D3C2×#4114yes—
324C2×C3×D3—216no—
325C2×C3×D3—24no—
326C2×C3×D3—24no—
327C2×C3×D3C22×Q818yescomplemented
328D32—232no—
329C32×C4—22no—
330C32×C4—22no—
331C32×C4—22no—
332C3⋊Dic3—22no—
333C3⋊Dic3—22no—
334C3⋊Dic3—22no—
335C3×Dic3—24no—
336C3×Dic3—24no—
337C3×Dic3C22×D418yes—
338C25—91no—
339C22×Q8—32no—
340C22×Q8—92no—
341C22×Q8—98no—
342C22×Q8—188no—
343C23×C4—32no—
344C23×C4—91no—
345C23×C4—91no—
346C23×C4—91no—
347C23×C4—98no—
348C23×C4—92no—
349C23×C4—91no—
350C23×C4—91no—
351C23×C4—91no—
352C23×C4—188no—
353C22⋊Q8—316no—
354C22⋊Q8—916no—
355C22⋊Q8—916no—
356C22⋊Q8—916no—
357C2×C4⋊C4—32no—
358C2×C4⋊C4—32no—
359C2×C4⋊C4—98no—
360C2×C4⋊C4—98no—
361C2×C4⋊C4—92no—
362C2×C4⋊C4—92no—
363C2×C4⋊C4—91no—
364C2×C4⋊C4—91no—
365C2×C4⋊C4—91no—
366C2×C4⋊C4—98no—
367C2×C4⋊C4D3211yescharacteristic, complemented
368C2×C22⋊C4—32no—
369C2×C22⋊C4—32no—
370C2×C22⋊C4—98no—
371C2×C22⋊C4—98no—
372C2×C22⋊C4—92no—
373C2×C22⋊C4—92no—
374C23×C3—21no—
375C23×C3—38no—
376C23×C3—34no—
377C23×C3—64no—
378C23×C3—64no—
379C23×C3C23×D312yes—
380C22×D3—24no—
381C22×D3—24no—
382C22×D3—38no—
383C22×D3—38no—
384C22×D3—38no—
385C22×D3—34no—
386C22×D3—332no—
387C22×D3—64no—
388C22×D3—64no—
389C22×D3—64no—
390C22×D3—62no—
391C22×D3—616no—
392C22×D3—616no—
393C22×D3—664no—
394C22×D3D3×Q818yescomplemented
395C22×D3C23×D314yes—
396C3×Q8—616no—
397C2×C3×C4—24no—
398C2×C3×C4—24no—
399C2×C3×C4—24no—
400C2×C3×C4—24no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—38no—
405C2×C3×C4—34no—
406C2×C3×C4—34no—
407C2×C3×C4—34no—
408C2×C3×C4—42no—
409C2×C3×C4—42no—
410C2×C3×C4—616no—
411C2×C3×C4—64no—
412C2×C3×C4—64no—
413C2×C3×C4C23×D314yes—
414C2×C3×C4C23×D314yes—
415C2×C3×C4C23×D314yes—
416C2×Dic3—24no—
417C2×Dic3—24no—
418C2×Dic3—34no—
419C2×Dic3—34no—
420C2×Dic3—34no—
421C2×Dic3—62no—
422C2×Dic3—62no—
423C2×Dic3—62no—
424C2×Dic3—64no—
425C2×Dic3—64no—
426C2×Dic3—64no—
427C2×Dic3—64no—
428C2×Dic3—616no—
429C2×Dic3—122no—
430C2×Dic3—122no—
431C2×Dic3D3×D418yes—
432C2×Dic3C23×D314yes—
433C2×Dic3C23×D314yes—
434C2×Dic3C23×D314yes—
435C4×D3—216no—
436C4×D3—332no—
437C4×D3—616no—
438C4×D3—616no—
439C4×D3—616no—
440C4×D3—616no—
441C4×D3—616no—
442C4×D3—616no—
443C4×D3—616no—
444C4×D3—128no—
445C4×D3—128no—
446Dic6—216no—
447Dic6—616no—
448Dic6—616no—
449C2×C32C2×C22⋊Q814yescomplemented
450C2×C32C23×D411yescharacteristic
451C2×C32C23×Q811yescharacteristic
452C2×C32C22×#4111yescharacteristic
453C3⋊D3C2×C22⋊Q818yescomplemented
454C3×D3—28no—
455C24—32no—
456C24—94no—
457C24—98no—
458C24—91no—
459C24—184no—
460C24—184no—
461C2×Q8—38no—
462C2×Q8—68no—
463C2×Q8—98no—
464C2×Q8—188no—
465C2×Q8—1832no—
466C22×C4—32no—
467C22×C4—32no—
468C22×C4—32no—
469C22×C4—38no—
470C22×C4—68no—
471C22×C4—94no—
472C22×C4—98no—
473C22×C4—94no—
474C22×C4—94no—
475C22×C4—98no—
476C22×C4—91no—
477C22×C4—91no—
478C22×C4—91no—
479C22×C4—94no—
480C22×C4—94no—
481C22×C4—94no—
482C22×C4—184no—
483C22×C4—184no—
484C22×C4—184no—
485C22×C4—188no—
486C22×C4—1832no—
487C22×C4—184no—
488C22×C4—184no—
489C22×C4C2×D3211yescharacteristic
490C22×C4C2×D3211yescharacteristic
491C22×C4C2×D3211yescharacteristic
492C4⋊C4—38no—
493C4⋊C4—38no—
494C4⋊C4—98no—
495C4⋊C4—98no—
496C4⋊C4—94no—
497C4⋊C4—94no—
498C4⋊C4—94no—
499C4⋊C4C2×D3214yescomplemented
500C22⋊C4—38no—
501C22⋊C4—38no—
502C22⋊C4—98no—
503C22⋊C4—98no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—21no—
508C22×C3—38no—
509C22×C3—64no—
510C22×C3—64no—
511C22×C3—616no—
512C22×C3C2×D3×D414yes—
513C22×C3C2×D3×Q814yes—
514C22×C3D3×#4114yes—
515C22×C3C24×D312yes—
516C2×D3—24no—
517C2×D3—24no—
518C2×D3—216no—
519C2×D3—38no—
520C2×D3—38no—
521C2×D3—38no—
522C2×D3—332no—
523C2×D3—64no—
524C2×D3—64no—
525C2×D3—616no—
526C2×D3—64no—
527C2×D3—664no—
528C2×D3C2×D3×Q818yescomplemented
529C3×C4—24no—
530C3×C4—24no—
531C3×C4—24no—
532C3×C4—24no—
533C3×C4—38no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—64no—
537C3×C4—64no—
538Dic3—24no—
539Dic3—24no—
540Dic3—64no—
541Dic3—64no—
542Dic3—64no—
543Dic3—64no—
544Dic3—122no—
545Dic3—122no—
546Dic3C2×D3×D418yes—
547C32C22×C22⋊Q811yescharacteristic, complemented, Sylow
548C23—38no—
549C23—34no—
550C23—64no—
551C23—64no—
552C23—916no—
553C23—94no—
554C23—94no—
555C23—94no—
556C23—92no—
557C23—188no—
558C23—188no—
559C23—1832no—
560C23C22×D3211yescharacteristic
561Q8—616no—
562Q8—1816no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—38no—
567C2×C4—34no—
568C2×C4—34no—
569C2×C4—34no—
570C2×C4—616no—
571C2×C4—64no—
572C2×C4—64no—
573C2×C4—916no—
574C2×C4—92no—
575C2×C4—92no—
576C2×C4—92no—
577C2×C4—188no—
578C2×C4—188no—
579C2×C4—188no—
580C2×C4—1816no—
581C2×C4—188no—
582C2×C4—188no—
583C2×C4—182no—
584C2×C4—182no—
585C2×C4—182no—
586C2×C4C22×D3212yes—
587C2×C4C22×D3212yes—
588C2×C4C22×D3212yes—
589C2×C3—21no—
590C2×C3—21no—
591C2×C3—24no—
592C2×C3—21no—
593C2×C3—68no—
594C2×C3D3×C22⋊Q818yescomplemented
595C2×C3C22×D3×D412yes—
596C2×C3C22×D3×Q812yes—
597C2×C3C2×D3×#4112yes—
598D3—28no—
599D3—316no—
600D3—68no—
601C22—38no—
602C22—64no—
603C22—64no—
604C22—616no—
605C22—94no—
606C22—94no—
607C22—916no—
608C22—94no—
609C22—1832no—
610C22#6430612yes—
611C22D32×D412yes—
612C22D32×Q812yes—
613C22C23×D3211yescharacteristic
614C4—22no—
615C4—22no—
616C4—22no—
617C4—38no—
618C4—64no—
619C4—64no—
620C4—182no—
621C4—182no—
622C4—182no—
623C3—21no—
624C3C2×D3×C22⋊Q812yescomplemented
625C2—68no—
626C2—98no—
627C2#1059462414yesdirect product factor
628C2C2×#6430611yescharacteristic
629C2C2×D32×D411yescharacteristic
630C2C2×D32×Q811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC23×D32C22
hypercenterC2×C4⋊C4D32
hypocenterC32C22×C22⋊Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×#3797C2semidirect
3. C2×C4⋊C4×C3⋊D3C2semidirect
4. C2×C3×#896C2semidirect
7. C2×#63893C2semidirect
8. C2×#63887C2semidirect
9. C2×#63883C2semidirect
10. C2×#63883C2semidirect
11. C2×#63851C2semidirect
12. #10594624C2direct (N × H)
19. C22×C3×Dic6C22semidirect
20. C22×#627C22semidirect
28. C2×#3797C22semidirect
29. C2×C32×C4⋊C4C22semidirect
30. C2×C4⋊(C3⋊Dic3)C22semidirect
31. C2×#3750C22semidirect
32. C2×#3750C22semidirect
33. C4⋊C4×C3⋊D3C22semidirect
36. C2×C3×Dic3⋊C4C22semidirect
37. C2×C3×Dic3⋊C4C22semidirect
38. C3×#896C22semidirect
39. C2×Dic3⋊Dic3C22semidirect
40. C2×Dic3⋊Dic3C22semidirect
45. #63893C22semidirect
46. #63887C22semidirect
47. #63883C22semidirect
48. #63883C22semidirect
49. #63851C22semidirect
58. C2×#896D3semidirect
71. C22×D32Q8semidirect
91. C2×C3×Dic6C23semidirect
93. C2×#627C23semidirect
104. C32×C4⋊C4C23semidirect
105. C4⋊(C3⋊Dic3)C23semidirect
106. #3750C23semidirect
107. #3750C23semidirect
110. C3×Dic3⋊C4C23semidirect
111. C3×Dic3⋊C4C23semidirect
112. Dic3⋊Dic3C23semidirect
113. Dic3⋊Dic3C23semidirect
138. C22×Dic6C2×D3semidirect
143. C2×C3×C4⋊C4C2×D3semidirect
164. C2×Dic3⋊C4C2×D3semidirect
165. C2×Dic3⋊C4C2×D3semidirect
168. #896C2×D3semidirect
184. C22×C3×D3C2×Q8semidirect
189. C2×D32C2×Q8semidirect
291. C2×Dic6C22×D3semidirect
295. C3×C4⋊C4C22×D3semidirect
314. Dic3⋊C4C22×D3semidirect
315. Dic3⋊C4C22×D3semidirect
320. C2×C3⋊D3C22⋊Q8semidirect
327. C2×C3×D3C22×Q8semidirect
367. C2×C4⋊C4D32semidirect
394. C22×D3D3×Q8semidirect
449. C2×C32C2×C22⋊Q8semidirect
453. C3⋊D3C2×C22⋊Q8semidirect
499. C4⋊C4C2×D32semidirect
528. C2×D3C2×D3×Q8semidirect
547. C32C22×C22⋊Q8semidirect
594. C2×C3D3×C22⋊Q8semidirect
624. C3C2×D3×C22⋊Q8semidirect
627. C2#10594624direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D322
C22×#37972
C2×C4⋊C4×C3⋊D32
C2×C3×#8962
C2×#639212
C2×#638932
C2×#638872
C2×#638832
C2×#638512
#105946242
C2×D3×C22⋊Q83