Finite Group Databasebeta

← C2×#10596107 #11903215

Subgroups — C2×#10596107 #11903215

Order 1152.

3600 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×#64155C211yesmaximal, characteristic, complemented
3C2×#64153C211yesmaximal, characteristic, complemented
4C2×C4×#638C211yesmaximal, characteristic
5C22×#3750C211yesmaximal, characteristic, complemented
6#10596107C2116yesmaximal, direct product factor
7C2×#64105C211yesmaximal, characteristic, complemented
8C2×#64105C211yesmaximal, characteristic, complemented
9C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
10C2×#64098C211yesmaximal, characteristic, complemented
11C2×#64098C211yesmaximal, characteristic, complemented
12C2×#64096C211yesmaximal, characteristic, complemented
13C2×#64090C211yesmaximal, characteristic
14C2×#64090C211yesmaximal, characteristic
15C2×#64087C211yesmaximal, characteristic, complemented
16C2×#64087C211yesmaximal, characteristic, complemented
17C2×#5636—34nomaximal
18C22×C32×Q8C2211yescharacteristic
19C23×C32×C4C2211yescharacteristic
20C22×#638C2211yescharacteristic
21C23×C3⋊Dic3C2211yescharacteristic
22C23×C3⋊Dic3C2211yescharacteristic
23C22×C4×C3⋊D3C2211yescharacteristic
24C22×C4×C3⋊D3C2211yescharacteristic
25C22×C4×C3⋊D3C2211yescharacteristic
26C22×#634C2211yescharacteristic
27C22×#634C2211yescharacteristic
28C32×C22⋊Q8C2218yescomplemented
29C2×C32×C4⋊C4C2211yescharacteristic
30C2×C32×C4⋊C4C2211yescharacteristic
31C2×C32×C4⋊C4C2211yescharacteristic
32C2×C32×C22⋊C4C2211yescharacteristic
33C2×C32×C22⋊C4C2211yescharacteristic
34C2×#3757C2211yescharacteristic
35#64155C2218yescomplemented
36#64153C2218yescomplemented
37C4×#638C2218yes—
38C2×#3752C2211yescharacteristic
39C2×#3752C2211yescharacteristic
40C2×#3752C2211yescharacteristic
41C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
42C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
43C2×#3750C2211yescharacteristic
44C2×#3750C2211yescharacteristic
45C2×#3750C2211yescharacteristic
46C2×#3750C2211yescharacteristic
47C2×#3750C2211yescharacteristic
48C2×#3750C2211yescharacteristic
49C2×#3750C2211yescharacteristic
50C2×#3750C2211yescharacteristic
51C2×#3750C2211yescharacteristic
52C2×#3750C2211yescharacteristic
53C2×#3750C2211yescharacteristic
54C2×#3750C2218yescomplemented
55C2×C4×C3⋊Dic3C2211yescharacteristic
56C2×C4×C3⋊Dic3C2211yescharacteristic
57C2×C4×C3⋊Dic3C2211yescharacteristic
58#64105C2218yescomplemented
59#64105C2218yescomplemented
60C4⋊C4×C3⋊D3C2218yescomplemented
61#64098C2218yescomplemented
62#64098C2218yescomplemented
63#64096C2218yescomplemented
64#64090C2218yes—
65#64090C2218yes—
66#64087C2218yescomplemented
67#64087C2218yescomplemented
68C2×C3×C22⋊Q8D314yescomplemented
69C2×#946—34no—
70C2×#944—34no—
71C2×C4×#67—34no—
72C22×Dic3⋊C4—34no—
73#5636—364no—
74C2×#896—34no—
75C2×#896—34no—
76C2×D3×C4⋊C4—34no—
77C2×#889—34no—
78C2×#889—34no—
79C2×#887—34no—
80C2×#67⋊C4—34no—
81C2×#67⋊C4—34no—
82C2×#878—34no—
83C2×#878—34no—
84C24×C32C2311yescharacteristic
85C23×C3⋊D3C2311yescharacteristic
86C2×C32×Q8—42no—
87C2×C32×Q8C2314yes—
88C22×C32×C4—42no—
89C22×C32×C4C2311yescharacteristic
90C22×C32×C4C2311yescharacteristic
91C22×C32×C4C2311yescharacteristic
92C22×C32×C4C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C22×C32×C4C2311yescharacteristic
95C22×C32×C4C2314yes—
96C2×#638Q818yescomplemented
97C2×#638C2314yes—
98C22×C3⋊Dic3—24no—
99C22×C3⋊Dic3—42no—
100C22×C3⋊Dic3C2314yes—
101C22×C3⋊Dic3C2311yescharacteristic
102C22×C3⋊Dic3C2311yescharacteristic
103C22×C3⋊Dic3C2311yescharacteristic
104C22×C3⋊Dic3C2311yescharacteristic
105C22×C3⋊Dic3C2311yescharacteristic
106C22×C3⋊Dic3C2314yes—
107C22×C3⋊Dic3C2311yescharacteristic
108C22×C3⋊Dic3C2311yescharacteristic
109C2×C4×C3⋊D3—24no—
110C2×C4×C3⋊D3—42no—
111C2×C4×C3⋊D3—42no—
112C2×C4×C3⋊D3C2314yes—
113C2×C4×C3⋊D3C2314yes—
114C2×C4×C3⋊D3C2314yes—
115C2×#634—24no—
116C2×#634—42no—
117C2×#634C2314yes—
118C2×#634C2314yes—
119C32×C4⋊C4C2314yes—
120C32×C4⋊C4C2314yes—
121C32×C4⋊C4C2314yes—
122C32×C22⋊C4C2314yes—
123C32×C22⋊C4C2314yes—
124#3757C2314yes—
125#3752C2314yes—
126#3752C2314yes—
127#3752C2314yes—
128C4⋊(C3⋊Dic3)C2314yes—
129C4⋊(C3⋊Dic3)C2314yes—
130#3750C2314yes—
131#3750C2314yes—
132#3750C2314yes—
133#3750C2314yes—
134#3750C2314yes—
135#3750C2314yes—
136#3750C2314yes—
137#3750C2314yes—
138#3750C2314yes—
139#3750C2314yes—
140#3750C2314yes—
141C4×C3⋊Dic3C2314yes—
142C4×C3⋊Dic3C2314yes—
143C4×C3⋊Dic3C2314yes—
144C2×#554—91noSylow
145C22×C3×Q8C2×D314yes—
146C23×C3×C4C2×D314yes—
147C22×#67—34no—
148C23×Dic3—34no—
149C23×Dic3—34no—
150C22×C4×D3—34no—
151C22×C4×D3—34no—
152C22×C4×D3—34no—
153C22×Dic6—34no—
154C22×Dic6—34no—
155C3×C22⋊Q8C2×D3132yescomplemented
156C2×C3×C4⋊C4C2×D314yes—
157C2×C3×C4⋊C4C2×D314yes—
158C2×C3×C4⋊C4C2×D314yes—
159C2×C3×C22⋊C4C2×D314yes—
160C2×C3×C22⋊C4C2×D314yes—
161C2×#217—34no—
162#946—332no—
163#944—332no—
164C4×#67—332no—
165C2×(C2×D3)⋊C4—34no—
166C2×(C2×D3)⋊C4—34no—
167C2×(C2×D3)⋊C4—34no—
168C2×C4⋊Dic3—34no—
169C2×C4⋊Dic3—34no—
170C2×Dic3⋊C4—332no—
171C2×Dic3⋊C4—34no—
172C2×Dic3⋊C4—34no—
173C2×Dic3⋊C4—34no—
174C2×Dic3⋊C4—34no—
175C2×Dic3⋊C4—34no—
176C2×Dic3⋊C4—34no—
177C2×Dic3⋊C4—34no—
178C2×Dic3⋊C4—34no—
179C2×Dic3⋊C4—34no—
180C2×Dic3⋊C4—34no—
181C2×Dic3⋊C4—34no—
182C2×C4×Dic3—34no—
183C2×C4×Dic3—34no—
184C2×C4×Dic3—34no—
185#896—332no—
186#896—332no—
187D3×C4⋊C4—332no—
188#889—332no—
189#889—332no—
190#887—332no—
191#67⋊C4—332no—
192#67⋊C4—332no—
193#878—332no—
194#878—332no—
195C23×C32—22no—
196C23×C32—22no—
197C23×C32C2×Q814yes—
198C23×C32C2412yes—
199C23×C32C2411yescharacteristic
200C22×C3⋊D3—22no—
201C22×C3⋊D3—22no—
202C22×C3⋊D3C2×Q814yes—
203C22×C3⋊D3C2412yes—
204C32×Q8—44no—
205C2×C32×C4—22no—
206C2×C32×C4—22no—
207C2×C32×C4—22no—
208C2×C32×C4—22no—
209C2×C32×C4—22no—
210C2×C32×C4—22no—
211C2×C32×C4—44no—
212C2×C32×C4C2412yes—
213C2×C32×C4C2412yes—
214C2×C32×C4C2412yes—
215C2×C32×C4C2412yes—
216C2×C32×C4C2412yes—
217C2×C32×C4C2412yes—
218#638C2×Q8116yescomplemented
219C2×C3⋊Dic3—22no—
220C2×C3⋊Dic3—22no—
221C2×C3⋊Dic3—22no—
222C2×C3⋊Dic3—22no—
223C2×C3⋊Dic3—22no—
224C2×C3⋊Dic3—28no—
225C2×C3⋊Dic3—44no—
226C2×C3⋊Dic3C2×Q814yes—
227C2×C3⋊Dic3#4114yes—
228C2×C3⋊Dic3C2412yes—
229C2×C3⋊Dic3C2412yes—
230C2×C3⋊Dic3C2412yes—
231C2×C3⋊Dic3C2412yes—
232C2×C3⋊Dic3C2412yes—
233C2×C3⋊Dic3C2412yes—
234C2×C3⋊Dic3C2412yes—
235C4×C3⋊D3—28no—
236C4×C3⋊D3—44no—
237C4×C3⋊D3—44no—
238#634—28no—
239#634—44no—
240#554—916no—
241C2×C4⋊Q8—91no—
242C2×#125—91no—
243C2×#125—91no—
244C2×C22⋊Q8—91no—
245C2×C22⋊Q8—91no—
246C2×C22⋊Q8—91no—
247C2×C22⋊Q8—91no—
248C2×C22⋊Q8—91no—
249C2×C22⋊Q8C3⋊D311yescharacteristic, complemented
250C2×C4×Q8—91no—
251C2×C4×D4—91no—
252C2×C4×D4—91no—
253C2×C4×D4—91no—
254C22×C4⋊C4—91no—
255C22×C4⋊C4—91no—
256C24×C3C22×D314yes—
257C23×D3—34no—
258C2×C3×Q8—48no—
259C2×C3×Q8C22×D3116yes—
260C22×C3×C4—48no—
261C22×C3×C4C22×D314yes—
262C22×C3×C4C22×D314yes—
263C22×C3×C4C22×D314yes—
264C22×C3×C4C22×D314yes—
265C22×C3×C4C22×D314yes—
266C22×C3×C4C22×D314yes—
267C22×C3×C4C22×D3116yes—
268C2×#67—332no—
269C2×#67—316no—
270C22×Dic3—34no—
271C22×Dic3—34no—
272C22×Dic3—316no—
273C22×Dic3—34no—
274C22×Dic3—34no—
275C22×Dic3—34no—
276C22×Dic3—34no—
277C22×Dic3—34no—
278C22×Dic3—316no—
279C22×Dic3—616no—
280C22×Dic3—128no—
281C2×C4×D3—316no—
282C2×C4×D3—316no—
283C2×C4×D3—316no—
284C2×C4×D3—616no—
285C2×C4×D3—128no—
286C2×C4×D3—128no—
287C2×Dic6—316no—
288C2×Dic6—316no—
289C2×Dic6—616no—
290C2×Dic6—128no—
291C3×C4⋊C4C22×D3116yes—
292C3×C4⋊C4C22×D3116yes—
293C3×C4⋊C4C22×D3116yes—
294C3×C22⋊C4C22×D3116yes—
295C3×C22⋊C4C22×D3116yes—
296#217—316no—
297(C2×D3)⋊C4—316no—
298(C2×D3)⋊C4—316no—
299(C2×D3)⋊C4—316no—
300C4⋊Dic3—316no—
301C4⋊Dic3—316no—
302Dic3⋊C4—316no—
303Dic3⋊C4—316no—
304Dic3⋊C4—316no—
305Dic3⋊C4—316no—
306Dic3⋊C4—316no—
307Dic3⋊C4—316no—
308Dic3⋊C4—316no—
309Dic3⋊C4—316no—
310Dic3⋊C4—316no—
311Dic3⋊C4—316no—
312Dic3⋊C4—316no—
313C4×Dic3—316no—
314C4×Dic3—316no—
315C4×Dic3—316no—
316C22×C32—28no—
317C22×C32—22no—
318C22×C32—22no—
319C22×C32C22×Q814yes—
320C22×C32C22×Q812yes—
321C22×C32C2×#4112yes—
322C22×C32H(5,𝔽2)12yes—
323C22×C32C2511yescharacteristic
324C2×C3⋊D3—28no—
325C2×C3⋊D3—22no—
326C2×C3⋊D3—22no—
327C2×C3⋊D3C22×Q814yes—
328C32×C4—22no—
329C32×C4—22no—
330C32×C4—22no—
331C32×C4—22no—
332C32×C4—22no—
333C32×C4—22no—
334C3⋊Dic3—22no—
335C3⋊Dic3—22no—
336C3⋊Dic3—22no—
337C3⋊Dic3—22no—
338C3⋊Dic3—22no—
339C3⋊Dic3C22×Q814yes—
340C3⋊Dic3C2×#4114yes—
341C22×Q8—91no—
342C22×Q8—91no—
343C22×Q8C2×C3⋊D311yescharacteristic
344C22×D4—91no—
345C23×C4—91no—
346C23×C4—91no—
347C23×C4—91no—
348C23×C4—91no—
349C23×C4—91no—
350C23×C4C2×C3⋊D311yescharacteristic
351C4⋊Q8—98no—
352#125—98no—
353#125—98no—
354C22⋊Q8—98no—
355C22⋊Q8—98no—
356C22⋊Q8—98no—
357C22⋊Q8—98no—
358C22⋊Q8—98no—
359C22⋊Q8C2×C3⋊D318yescomplemented
360C4×Q8—98no—
361C4×D4—98no—
362C4×D4—98no—
363C4×D4—98no—
364C2×C4⋊C4—91no—
365C2×C4⋊C4—91no—
366C2×C4⋊C4—91no—
367C2×C4⋊C4—91no—
368C2×C4⋊C4—91no—
369C2×C4⋊C4—91no—
370C2×C4⋊C4—98no—
371C2×C4⋊C4—91no—
372C2×C4⋊C4—91no—
373C2×C4⋊C4—91no—
374C2×C4⋊C4—91no—
375C2×C4⋊C4—91no—
376C2×C4⋊C4—91no—
377C2×C4⋊C4—91no—
378C2×C4⋊C4—98no—
379C2×C4⋊C4C2×C3⋊D311yescharacteristic
380C2×C4⋊C4C2×C3⋊D311yescharacteristic
381C2×C4⋊C4C2×C3⋊D311yescharacteristic
382C2×C22⋊C4—91no—
383C2×C22⋊C4—91no—
384C2×C22⋊C4—91no—
385C2×C22⋊C4—91no—
386C2×C22⋊C4C2×C3⋊D311yescharacteristic
387C2×C22⋊C4C2×C3⋊D311yescharacteristic
388C2×C42—91no—
389C2×C42—91no—
390C2×C42—91no—
391C23×C3—28no—
392C23×C3—28no—
393C23×C3D3×Q8116yes—
394C23×C3C23×D318yes—
395C23×C3C23×D314yes—
396C22×D3—316no—
397C22×D3—38no—
398C22×D3—68no—
399C22×D3—68no—
400C3×Q8—416no—
401C2×C3×C4—28no—
402C2×C3×C4—28no—
403C2×C3×C4—28no—
404C2×C3×C4—28no—
405C2×C3×C4—28no—
406C2×C3×C4—28no—
407C2×C3×C4—416no—
408C2×C3×C4C23×D318yes—
409C2×C3×C4C23×D318yes—
410C2×C3×C4C23×D318yes—
411C2×C3×C4C23×D318yes—
412C2×C3×C4C23×D318yes—
413C2×C3×C4C23×D318yes—
414#67—364no—
415C2×Dic3—316no—
416C2×Dic3—316no—
417C2×Dic3—38no—
418C2×Dic3—38no—
419C2×Dic3—38no—
420C2×Dic3—38no—
421C2×Dic3—38no—
422C2×Dic3—38no—
423C2×Dic3—38no—
424C2×Dic3—632no—
425C2×Dic3—68no—
426C2×Dic3—68no—
427C2×Dic3—68no—
428C2×Dic3—68no—
429C2×Dic3—68no—
430C2×Dic3—1216no—
431C4×D3—632no—
432C4×D3—1216no—
433C4×D3—1216no—
434Dic6—632no—
435Dic6—1216no—
436C2×C32—24no—
437C2×C32#55414yescomplemented
438C2×C32C23×Q811yescharacteristic
439C2×C32C22×#4111yescharacteristic
440C2×C32C2×H(5,𝔽2)11yescharacteristic
441C3⋊D3—24no—
442C24—91no—
443C24C22×C3⋊D311yescharacteristic
444C2×Q8—42no—
445C2×Q8—94no—
446C2×Q8—94no—
447C2×Q8—184no—
448C2×Q8—362no—
449C2×Q8C22×C3⋊D314yes—
450C2×D4—94no—
451C2×D4—98no—
452C22×C4—42no—
453C22×C4—91no—
454C22×C4—91no—
455C22×C4—94no—
456C22×C4—91no—
457C22×C4—91no—
458C22×C4—91no—
459C22×C4—91no—
460C22×C4—91no—
461C22×C4—94no—
462C22×C4—94no—
463C22×C4—94no—
464C22×C4—94no—
465C22×C4—184no—
466C22×C4—184no—
467C22×C4—362no—
468C22×C4—362no—
469C22×C4—362no—
470C22×C4C22×C3⋊D311yescharacteristic
471C22×C4C22×C3⋊D311yescharacteristic
472C22×C4C22×C3⋊D311yescharacteristic
473C22×C4C22×C3⋊D311yescharacteristic
474C22×C4C22×C3⋊D311yescharacteristic
475C22×C4C22×C3⋊D311yescharacteristic
476C22×C4C22×C3⋊D314yes—
477C4⋊C4—94no—
478C4⋊C4—94no—
479C4⋊C4—94no—
480C4⋊C4—94no—
481C4⋊C4—94no—
482C4⋊C4—94no—
483C4⋊C4—94no—
484C4⋊C4—94no—
485C4⋊C4—94no—
486C4⋊C4—94no—
487C4⋊C4—94no—
488C4⋊C4—94no—
489C4⋊C4—94no—
490C4⋊C4C22×C3⋊D314yes—
491C4⋊C4C22×C3⋊D314yes—
492C4⋊C4C22×C3⋊D314yes—
493C22⋊C4—94no—
494C22⋊C4—94no—
495C22⋊C4—94no—
496C22⋊C4—94no—
497C22⋊C4C22×C3⋊D314yes—
498C22⋊C4C22×C3⋊D314yes—
499C42—94no—
500C42—94no—
501C42—94no—
502C22×C3—232no—
503C22×C3—28no—
504C22×C3—28no—
505C22×C3#100418yes—
506C22×C3C2×D3×Q8116yes—
507C22×C3C2×D3×Q818yes—
508C22×C3D3×#4118yes—
509C22×C3C24×D314yes—
510C2×D3—316no—
511C2×D3—632no—
512C2×D3—68no—
513C2×D3—68no—
514C3×C4—28no—
515C3×C4—28no—
516C3×C4—28no—
517C3×C4—28no—
518C3×C4—28no—
519C3×C4—28no—
520Dic3—316no—
521Dic3—316no—
522Dic3—68no—
523Dic3—68no—
524Dic3—68no—
525Dic3—68no—
526Dic3—68no—
527C32C2×#55411yescharacteristic, complemented, Sylow
528C23—22no—
529C23—22no—
530C23—94no—
531C23—92no—
532C23—182no—
533C23—182no—
534C23Q8×C3⋊D314yes—
535C23C23×C3⋊D312yes—
536C23C23×C3⋊D311yescharacteristic
537Q8—44no—
538Q8—188no—
539Q8—364no—
540D4—916no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—44no—
548C2×C4—94no—
549C2×C4—94no—
550C2×C4—92no—
551C2×C4—92no—
552C2×C4—92no—
553C2×C4—92no—
554C2×C4—92no—
555C2×C4—92no—
556C2×C4—92no—
557C2×C4—188no—
558C2×C4—188no—
559C2×C4—182no—
560C2×C4—182no—
561C2×C4—182no—
562C2×C4—182no—
563C2×C4—182no—
564C2×C4—364no—
565C2×C4—364no—
566C2×C4—364no—
567C2×C4C23×C3⋊D312yes—
568C2×C4C23×C3⋊D312yes—
569C2×C4C23×C3⋊D312yes—
570C2×C4C23×C3⋊D312yes—
571C2×C4C23×C3⋊D312yes—
572C2×C4C23×C3⋊D312yes—
573C2×C3—216no—
574C2×C3#5636116yescomplemented
575C2×C3C2×#100414yes—
576C2×C3C22×D3×Q814yes—
577C2×C3C2×D3×#4114yes—
578D3—616no—
579C22—28no—
580C22—22no—
581C22—22no—
582C22—94no—
583C22—188no—
584C22—182no—
585C22—182no—
586C22#6436112yes—
587C22C2×Q8×C3⋊D314yes—
588C22C2×Q8×C3⋊D312yes—
589C22#41×C3⋊D312yes—
590C22C24×C3⋊D311yescharacteristic
591C4—22no—
592C4—22no—
593C4—22no—
594C4—22no—
595C4—22no—
596C4—22no—
597C4—94no—
598C4—94no—
599C4—182no—
600C4—182no—
601C4—182no—
602C4—182no—
603C4—182no—
604C3C2×#563614yescomplemented
605C2—24no—
606C2—184no—
607C2#1059610714yesdirect product factor
608C2C2×#6436111yescharacteristic
609C2C22×Q8×C3⋊D311yescharacteristic
610C2C2×#41×C3⋊D311yescharacteristic
subgroupG/H
centerC23C23×C3⋊D3
commutator, cosocleC22×C32C25
FrattiniC22C24×C3⋊D3
FittingC2×C32×C22⋊Q8C2
socleC23×C32C24
prime radicalC22×#638C22
hypercenterC2×C22⋊Q8C3⋊D3
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×C32×C22⋊Q8C2semidirect
2. C2×#64155C2semidirect
3. C2×#64153C2semidirect
5. C22×#3750C2semidirect
6. #10596107C2direct (N × H)
7. C2×#64105C2semidirect
8. C2×#64105C2semidirect
9. C2×C4⋊C4×C3⋊D3C2semidirect
10. C2×#64098C2semidirect
11. C2×#64098C2semidirect
12. C2×#64096C2semidirect
15. C2×#64087C2semidirect
16. C2×#64087C2semidirect
28. C32×C22⋊Q8C22semidirect
35. #64155C22semidirect
36. #64153C22semidirect
54. C2×#3750C22semidirect
58. #64105C22semidirect
59. #64105C22semidirect
60. C4⋊C4×C3⋊D3C22semidirect
61. #64098C22semidirect
62. #64098C22semidirect
63. #64096C22semidirect
66. #64087C22semidirect
67. #64087C22semidirect
68. C2×C3×C22⋊Q8D3semidirect
96. C2×#638Q8semidirect
155. C3×C22⋊Q8C2×D3semidirect
218. #638C2×Q8semidirect
249. C2×C22⋊Q8C3⋊D3semidirect
359. C22⋊Q8C2×C3⋊D3semidirect
437. C2×C32#554semidirect
527. C32C2×#554semidirect
574. C2×C3#5636semidirect
604. C3C2×#5636semidirect
607. C2#10596107direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×C22⋊Q82
C2×#641552
C2×#641532
C2×C4×#6382
C22×#37502
#105961072
C2×#641052
C2×C4⋊C4×C3⋊D32
C2×#640982
C2×#640962
C2×#640902
C2×#640872
C2×#56363