Finite Group Databasebeta

← C2×#11777334 #72255366

Subgroups — C2×#11777334 #72255366

Order 2304.

2682 conjugacy classes of subgroups.

The subgroup lattice has 609 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#3753C211yesmaximal, characteristic
2C2×C8×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3#11777334C218yesmaximal, direct product factor
4C2×#10589346C211yesmaximal, characteristic, complemented
5C2×D4⋊(C3⋊(C3⋊C8))C211yesmaximal, characteristic, complemented
6C2×#10589349C211yesmaximal, characteristic, complemented
7C2×#10589320C211yesmaximal, characteristic, complemented
8C2×C32×C8×D4C211yesmaximal, characteristic, complemented
9C2×#70840—34nomaximal
10C23×C32×C8—21no—
11C2×C32×C4×D4C2211yescharacteristic
12C22×#3753C411yescharacteristic
13C22×C8×C3⋊D3—21no—
14C2×C4×C4⋊(C3⋊D3)C2211yescharacteristic
15C32×C8×D4—22no—
16C32×C8×D4C2214yescomplemented
17C2×C32×C4⋊C8C2211yescharacteristic
18C2×C32×C22⋊C8—21no—
19C2×C32×C4×C8C2211yescharacteristic
20C2×#63659C411yescharacteristic
21C2×#63647—21no—
22C4×#3753C414yes—
23C4×#3753C2214yes—
24C2×#63636C411yescharacteristic
25C2×#63634C411yescharacteristic
26C2×C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
27C2×C4×C3⋊(C3⋊C8)C2211yescharacteristic
28C2×C4×C3⋊(C3⋊C8)C2211yescharacteristic
29C8×C4⋊(C3⋊D3)—22no—
30C8×C4⋊(C3⋊D3)C2214yescomplemented
31D4⋊(C3⋊(C3⋊C8))C2214yescomplemented
32#10589349C2214yescomplemented
33#10589346C2214yescomplemented
34#10589320C2214yescomplemented
35C2×C3×C8×D4D314yescomplemented
36C2×C4×#213—34no—
37C2×C8×D12—34no—
38C2×D4⋊(C3⋊C8)—34no—
39#70840—332no—
40C2×#4483—34no—
41C2×#4480—34no—
42C2×#4454—34no—
43C22×C32×D4C2×C411yescharacteristic
44C23×C32×C4—21no—
45C22×C4⋊(C3⋊D3)C2×C411yescharacteristic
46C22×C4×C3⋊D3—21no—
47C22×C32×C8—21no—
48C22×C32×C8—24no—
49C22×C32×C8—44no—
50C22×C32×C8D411yescharacteristic
51C22×C32×C8D411yescharacteristic
52C32×C4×D4—21no—
53C32×C4×D4—21no—
54C32×C4×D4C2×C412yes—
55C32×C4×D4C2312yes—
56C2×C32×C4⋊C4C2×C411yescharacteristic
57C2×C32×C22⋊C4—21no—
58C2×C32×C42C2311yescharacteristic
59C2×#3753C818yescomplemented
60C2×#3753C2×C414yes—
61C2×#3752—21no—
62C2×C4⋊(C3⋊Dic3)C2×C411yescharacteristic
63C22×C3⋊(C3⋊C8)—21no—
64C22×C3⋊(C3⋊C8)—21no—
65C22×C3⋊(C3⋊C8)C2×C411yescharacteristic
66C22×C3⋊(C3⋊C8)C2×C411yescharacteristic
67C2×C8×C3⋊D3—24no—
68C2×C8×C3⋊D3—44no—
69C4×C4⋊(C3⋊D3)—21no—
70C4×C4⋊(C3⋊D3)—21no—
71C4×C4⋊(C3⋊D3)C2×C412yes—
72C4×C4⋊(C3⋊D3)C2312yes—
73C32×C4⋊C8—21no—
74C32×C4⋊C8C2312yes—
75C32×C22⋊C8—24no—
76C32×C4×C8D412yes—
77C32×C4×C8C2312yes—
78#63659C2×C414yes—
79#63647—24no—
80#63636C2×C414yes—
81#63634C2×C414yes—
82C4⋊(C3⋊(C3⋊C8))—21no—
83C4⋊(C3⋊(C3⋊C8))C2312yes—
84C4×C3⋊(C3⋊C8)—21no—
85C4×C3⋊(C3⋊C8)C2×C412yes—
86C4×C3⋊(C3⋊C8)C2312yes—
87C4×C3⋊(C3⋊C8)C2312yes—
88C2×#1580—91noSylow
89C23×C3×C8—24no—
90C2×C3×C4×D4C2×D314yes—
91C22×#213—34no—
92C22×D3×C8—64no—
93C2×C4×D12—34no—
94C3×C8×D4—28no—
95C3×C8×D4C2×D3116yescomplemented
96C2×C3×C4⋊C8C2×D314yes—
97C2×C3×C22⋊C8—24no—
98C2×C3×C4×C8C2×D314yes—
99C2×#832—34no—
100C2×(C2×D3)⋊C8—64no—
101C4×#213—316no—
102C4×#213—316no—
103C2×#809—34no—
104C2×#807—34no—
105C2×C4⋊(C3⋊C8)—34no—
106C2×C4×C3⋊C8—34no—
107C2×C4×C3⋊C8—34no—
108C8×D12—316no—
109C8×D12—68no—
110D4⋊(C3⋊C8)—316no—
111#4483—316no—
112#4480—316no—
113#4454—316no—
114C24×C32—21no—
115C23×C3⋊D3—21no—
116C2×C32×D4—21no—
117C2×C32×D4—22no—
118C2×C32×D4C2×C814yescomplemented
119C2×C32×D4C22×C412yes—
120C22×C32×C4—21no—
121C22×C32×C4—22no—
122C22×C32×C4—22no—
123C22×C32×C4—42no—
124C22×C32×C4—42no—
125C22×C32×C4C22×C411yescharacteristic
126C22×C32×C4C2×D411yescharacteristic
127C22×C32×C4#4111yescharacteristic
128C22×C3⋊Dic3—21no—
129C2×C4⋊(C3⋊D3)—21no—
130C2×C4⋊(C3⋊D3)—22no—
131C2×C4⋊(C3⋊D3)C2×C814yescomplemented
132C2×C4⋊(C3⋊D3)C22×C412yes—
133C2×C4×C3⋊D3—22no—
134C2×C4×C3⋊D3—22no—
135C2×C4×C3⋊D3—42no—
136C2×C4×C3⋊D3—42no—
137C2×C32×C8—22no—
138C2×C32×C8—22no—
139C2×C32×C8—22no—
140C2×C32×C8—48no—
141C2×C32×C8—42no—
142C2×C32×C8C2×D412yes—
143C2×C32×C8C2×D412yes—
144C32×C4⋊C4—21no—
145C32×C4⋊C4C22×C412yes—
146C32×C22⋊C4—22no—
147C32×C22⋊C4—22no—
148C32×C42C22×C411yescharacteristic
149C32×C42C2×D411yescharacteristic
150C32×C42#4111yescharacteristic
151C32×C42C2411yescharacteristic
152#3753C2×C8116yescomplemented
153#3752—22no—
154#3752—22no—
155C4⋊(C3⋊Dic3)—21no—
156C4⋊(C3⋊Dic3)C22×C412yes—
157C2×C3⋊(C3⋊C8)—22no—
158C2×C3⋊(C3⋊C8)—22no—
159C2×C3⋊(C3⋊C8)—22no—
160C2×C3⋊(C3⋊C8)—42no—
161C2×C3⋊(C3⋊C8)—42no—
162C2×C3⋊(C3⋊C8)C2×C814yescomplemented
163C2×C3⋊(C3⋊C8)C22×C412yes—
164C2×C3⋊(C3⋊C8)C22×C412yes—
165C8×C3⋊D3—48no—
166C2×C4×D8—91no—
167C2×C8×D4—91no—
168C2×C8×D4C3⋊D311yescharacteristic, complemented
169#1580—98no—
170C2×#334—91no—
171C2×D4⋊C8—91no—
172C2×D4⋊C8—91no—
173C2×#322—91no—
174C22×C3×D4C4×D314yes—
175C23×C3×C4—24no—
176C22×D12—34no—
177C22×C4×D3—64no—
178C22×C3×C8—24no—
179C22×C3×C8—216no—
180C22×C3×C8—416no—
181C22×C3×C8#6714yes—
182C22×C3×C8#6714yes—
183C3×C4×D4—24no—
184C3×C4×D4—24no—
185C3×C4×D4C4×D318yes—
186C3×C4×D4C22×D318yes—
187C2×C3×C4⋊C4C4×D314yes—
188C2×C3×C22⋊C4—24no—
189C2×C3×C42C22×D314yes—
190C2×#213—332no—
191C2×#213—316no—
192C2×(C2×D3)⋊C4—64no—
193C2×C4⋊Dic3—34no—
194C22×C3⋊C8—34no—
195C22×C3⋊C8—34no—
196C22×C3⋊C8—64no—
197C22×C3⋊C8—64no—
198C2×D3×C8—616no—
199C2×D3×C8—1216no—
200C4×D12—38no—
201C4×D12—38no—
202C4×D12—64no—
203C4×D12—64no—
204C3×C4⋊C8—24no—
205C3×C4⋊C8C22×D318yes—
206C3×C22⋊C8—216no—
207C3×C4×C8#6718yes—
208C3×C4×C8C22×D318yes—
209#832—316no—
210(C2×D3)⋊C8—616no—
211#809—316no—
212#807—316no—
213C4⋊(C3⋊C8)—38no—
214C4⋊(C3⋊C8)—64no—
215C4×C3⋊C8—38no—
216C4×C3⋊C8—38no—
217C4×C3⋊C8—38no—
218C4×C3⋊C8—64no—
219C23×C32—22no—
220C23×C32—24no—
221C23×C32—42no—
222C23×C32—42no—
223C23×C32C4×D411yescharacteristic
224C22×C3⋊D3—22no—
225C22×C3⋊D3—24no—
226C22×C3⋊D3—42no—
227C22×C3⋊D3—42no—
228C32×D4—22no—
229C32×D4—24no—
230C32×D4C22×C814yescomplemented
231C2×C32×C4—22no—
232C2×C32×C4—22no—
233C2×C32×C4—42no—
234C2×C32×C4—42no—
235C2×C32×C4—42no—
236C2×C32×C4—44no—
237C2×C32×C4C4×D411yescharacteristic
238C2×C32×C4C4×D411yescharacteristic
239C2×C32×C4C4×D411yescharacteristic
240C2×C32×C4C22×C812yes—
241C2×C32×C4#13112yes—
242C2×C32×C4AGL(1,ℤ/8)12yes—
243C2×C32×C4AGL(1,ℤ/8)12yes—
244C2×C32×C4C23×C411yescharacteristic
245C2×C32×C4C22×D411yescharacteristic
246C2×C32×C4C2×#4111yescharacteristic
247C2×C3⋊Dic3—22no—
248C2×C3⋊Dic3—42no—
249C4⋊(C3⋊D3)—22no—
250C4⋊(C3⋊D3)—24no—
251C4⋊(C3⋊D3)C22×C814yescomplemented
252C4×C3⋊D3—42no—
253C4×C3⋊D3—42no—
254C4×C3⋊D3—44no—
255C32×C8—22no—
256C32×C8—22no—
257C32×C8—42no—
258C3⋊(C3⋊C8)—22no—
259C3⋊(C3⋊C8)—42no—
260C3⋊(C3⋊C8)—42no—
261C3⋊(C3⋊C8)C22×C814yescomplemented
262C22×D8—91no—
263C23×C8—21no—
264C23×C8—181no—
265C2×C4×D4—91no—
266C2×C4×D4C2×C3⋊D311yescharacteristic
267C4×D8—94no—
268C4×D8—94no—
269C8×D4—22no—
270C8×D4—94no—
271C8×D4—182no—
272C8×D4C2×C3⋊D314yescomplemented
273C2×#107—91no—
274C2×C4⋊C8—91no—
275C2×C4⋊C8C2×C3⋊D311yescharacteristic
276C2×#102—91no—
277C2×#102—91no—
278C2×C22⋊C8—21no—
279C2×C22⋊C8—181no—
280C2×C4×C8—91no—
281C2×C4×C8—91no—
282C2×C4×C8C2×C3⋊D311yescharacteristic
283#334—94no—
284D4⋊C8—94no—
285D4⋊C8—94no—
286#322—94no—
287C24×C3—24no—
288C23×D3—64no—
289C2×C3×D4—28no—
290C2×C3×D4—24no—
291C2×C3×D4D3×C8116yescomplemented
292C2×C3×D4C2×C4×D318yes—
293C22×C3×C4—24no—
294C22×C3×C4—28no—
295C22×C3×C4—28no—
296C22×C3×C4—48no—
297C22×C3×C4—48no—
298C22×C3×C4C2×C4×D314yes—
299C22×C3×C4#23514yes—
300C22×C3×C4C2×#6714yes—
301C22×Dic3—64no—
302C2×D12—316no—
303C2×D12—38no—
304C2×D12—68no—
305C2×D12—64no—
306C2×C4×D3—68no—
307C2×C4×D3—68no—
308C2×C4×D3—128no—
309C2×C4×D3—128no—
310C2×C3×C8—28no—
311C2×C3×C8—28no—
312C2×C3×C8—28no—
313C2×C3×C8—432no—
314C2×C3×C8—48no—
315C2×C3×C8C2×#6718yes—
316C2×C3×C8C2×#6718yes—
317C3×C4⋊C4—24no—
318C3×C4⋊C4C2×C4×D318yes—
319C3×C22⋊C4—28no—
320C3×C22⋊C4—28no—
321C3×C42C2×C4×D314yes—
322C3×C42#23514yes—
323C3×C42C2×#6714yes—
324C3×C42C23×D314yes—
325#213—364no—
326(C2×D3)⋊C4—68no—
327(C2×D3)⋊C4—68no—
328C4⋊Dic3—38no—
329C4⋊Dic3—64no—
330C2×C3⋊C8—316no—
331C2×C3⋊C8—38no—
332C2×C3⋊C8—38no—
333C2×C3⋊C8—68no—
334C2×C3⋊C8—68no—
335C2×C3⋊C8—68no—
336C2×C3⋊C8—128no—
337C2×C3⋊C8—128no—
338D3×C8—1232no—
339C22×C32—24no—
340C22×C32—48no—
341C22×C32—42no—
342C22×C32—42no—
343C22×C32C8×D412yes—
344C22×C32#44212yes—
345C22×C32#44412yes—
346C22×C32C2×C4×D411yescharacteristic
347C2×C3⋊D3—24no—
348C2×C3⋊D3—48no—
349C2×C3⋊D3—42no—
350C2×C3⋊D3—42no—
351C32×C4—21no—
352C32×C4—21no—
353C32×C4—42no—
354C32×C4C8×D412yes—
355C32×C4#44212yes—
356C32×C4C23×C811yescharacteristic
357C32×C4C2×#13111yescharacteristic
358C32×C4C2×AGL(1,ℤ/8)11yescharacteristic
359C32×C4C2×AGL(1,ℤ/8)11yescharacteristic
360C3⋊Dic3—42no—
361C22×D4—91no—
362C22×D4C4×C3⋊D311yescharacteristic
363C23×C4—21no—
364C23×C4—181no—
365C2×D8—98no—
366C2×D8—94no—
367C22×C8—21no—
368C22×C8—24no—
369C22×C8—44no—
370C22×C8—91no—
371C22×C8—91no—
372C22×C8—181no—
373C22×C8—181no—
374C22×C8—184no—
375C22×C8—364no—
376C22×C8#63811yescharacteristic
377C22×C8#63811yescharacteristic
378C4×D4—21no—
379C4×D4—21no—
380C4×D4—92no—
381C4×D4—92no—
382C4×D4—181no—
383C4×D4—181no—
384C4×D4C4×C3⋊D312yes—
385C4×D4C22×C3⋊D312yes—
386C2×C4⋊C4—91no—
387C2×C4⋊C4C4×C3⋊D311yescharacteristic
388C2×C22⋊C4—21no—
389C2×C22⋊C4—181no—
390C2×C42C22×C3⋊D311yescharacteristic
391#107—94no—
392C4⋊C8—21no—
393C4⋊C8—92no—
394C4⋊C8—181no—
395C4⋊C8C22×C3⋊D312yes—
396#102—94no—
397#102—94no—
398C22⋊C8—24no—
399C22⋊C8—184no—
400C4×C8—92no—
401C4×C8—92no—
402C4×C8—92no—
403C4×C8—181no—
404C4×C8#63812yes—
405C4×C8C22×C3⋊D312yes—
406C23×C3—28no—
407C23×C3—216no—
408C23×C3—48no—
409C23×C3—48no—
410C23×C3C4×#6714yes—
411C22×D3—68no—
412C22×D3—616no—
413C22×D3—128no—
414C22×D3—128no—
415C3×D4—28no—
416C3×D4—216no—
417C3×D4C2×D3×C8116yescomplemented
418C2×C3×C4—28no—
419C2×C3×C4—28no—
420C2×C3×C4—48no—
421C2×C3×C4—416no—
422C2×C3×C4—48no—
423C2×C3×C4—48no—
424C2×C3×C4C2×D3×C818yes—
425C2×C3×C4#90118yes—
426C2×C3×C4C4×#6714yes—
427C2×C3×C4C4×#6714yes—
428C2×C3×C4C4×#6714yes—
429C2×C3×C4#93218yes—
430C2×C3×C4#94918yes—
431C2×C3×C4C22×C4×D314yes—
432C2×C3×C4C2×#23514yes—
433C2×C3×C4C22×#6714yes—
434C2×Dic3—68no—
435C2×Dic3—128no—
436D12—316no—
437D12—68no—
438D12—616no—
439C4×D3—1216no—
440C4×D3—128no—
441C4×D3—128no—
442C3×C8—28no—
443C3×C8—28no—
444C3×C8—48no—
445C3⋊C8—316no—
446C3⋊C8—68no—
447C3⋊C8—128no—
448C3⋊C8—128no—
449C2×C32—44no—
450C2×C32#158014yescomplemented
451C2×C32C2×C8×D411yescharacteristic
452C2×C32C2×#44211yescharacteristic
453C2×C32C2×#44411yescharacteristic
454C3⋊D3—44no—
455C24—21no—
456C24—181no—
457C2×D4—22no—
458C2×D4—21no—
459C2×D4—92no—
460C2×D4—94no—
461C2×D4—182no—
462C2×D4—181no—
463C2×D4C8×C3⋊D314yescomplemented
464C2×D4C2×C4×C3⋊D312yes—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—181no—
471C22×C4—182no—
472C22×C4—182no—
473C22×C4—362no—
474C22×C4—362no—
475C22×C4C2×C4×C3⋊D311yescharacteristic
476C22×C4#382811yescharacteristic
477C22×C4C2×#63811yescharacteristic
478D8—916no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—48no—
483C2×C8—42no—
484C2×C8—92no—
485C2×C8—94no—
486C2×C8—92no—
487C2×C8—182no—
488C2×C8—182no—
489C2×C8—182no—
490C2×C8—368no—
491C2×C8—362no—
492C2×C8—362no—
493C2×C8C2×#63812yes—
494C2×C8C2×#63812yes—
495C4⋊C4—21no—
496C4⋊C4—92no—
497C4⋊C4—181no—
498C4⋊C4C2×C4×C3⋊D312yes—
499C22⋊C4—22no—
500C22⋊C4—22no—
501C22⋊C4—182no—
502C22⋊C4—182no—
503C42C2×C4×C3⋊D311yescharacteristic
504C42#382811yescharacteristic
505C42C2×#63811yescharacteristic
506C42C23×C3⋊D311yescharacteristic
507C22×C3—216no—
508C22×C3—48no—
509C22×C3—48no—
510C22×C3—432no—
511C22×C3#501418yes—
512C22×C3C8×#6718yes—
513C22×C3#514518yes—
514C22×C3C2×C4×#6714yes—
515C2×D3—616no—
516C2×D3—128no—
517C2×D3—128no—
518C2×D3—1232no—
519C3×C4—24no—
520C3×C4—24no—
521C3×C4—48no—
522C3×C4#501418yes—
523C3×C4C8×#6718yes—
524C3×C4C22×D3×C814yes—
525C3×C4C2×#90114yes—
526C3×C4C2×#93214yes—
527C3×C4C2×#94914yes—
528Dic3—128no—
529C32C2×#158011yescharacteristic, complemented, Sylow
530C23—24no—
531C23—22no—
532C23—42no—
533C23—42no—
534C23—184no—
535C23—182no—
536C23—362no—
537C23—362no—
538C23C4×#63811yescharacteristic
539D4—24no—
540D4—22no—
541D4—94no—
542D4—184no—
543D4—182no—
544D4C2×C8×C3⋊D314yescomplemented
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—42no—
548C2×C4—42no—
549C2×C4—42no—
550C2×C4—44no—
551C2×C4—182no—
552C2×C4—362no—
553C2×C4—362no—
554C2×C4—362no—
555C2×C4—364no—
556C2×C4C2×C8×C3⋊D312yes—
557C2×C4#6411012yes—
558C2×C4C4×#63811yescharacteristic
559C2×C4C4×#63811yescharacteristic
560C2×C4C4×#63811yescharacteristic
561C2×C4#6414112yes—
562C2×C4#6415812yes—
563C2×C4C22×C4×C3⋊D311yescharacteristic
564C2×C4C2×#382811yescharacteristic
565C2×C4C22×#63811yescharacteristic
566C8—22no—
567C8—22no—
568C8—42no—
569C8—94no—
570C8—182no—
571C8—362no—
572C8—362no—
573C2×C3—416no—
574C2×C3#70840116yescomplemented
575C2×C3C2×#501414yes—
576C2×C3C2×C8×#6714yes—
577C2×C3C2×#514514yes—
578D3—1216no—
579C22—24no—
580C22—42no—
581C22—48no—
582C22—42no—
583C22—184no—
584C22—362no—
585C22—368no—
586C22—362no—
587C22#1059271312yes—
588C22C8×#63812yes—
589C22#1059284412yes—
590C22C2×C4×#63811yescharacteristic
591C4—21no—
592C4—21no—
593C4—42no—
594C4—362no—
595C4#1059271312yes—
596C4C8×#63812yes—
597C4C22×C8×C3⋊D311yescharacteristic
598C4C2×#6411011yescharacteristic
599C4C2×#6414111yescharacteristic
600C4C2×#6415811yescharacteristic
601C3C2×#7084014yescomplemented
602C2—44no—
603C2—364no—
604C2#1177733414yesdirect product factor
605C2C2×C8×#63811yescharacteristic
606C2C2×#1059271311yescharacteristic
607C2C2×#1059284411yescharacteristic
subgroupG/H
centerC22×C4C2×#638
commutatorC32×C4C23×C8
FrattiniC42C23×C3⋊D3
FittingC2×C32×C8×D4C2
socleC23×C32C4×D4
prime radicalC22×#3753C4
cosocleC32×C42C24
hypercenterC2×C8×D4C3⋊D3
hypocenterC32C2×#1580
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×C8×D4

Complements

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

NH ≅ G/Ntype
2. C2×C8×C4⋊(C3⋊D3)C2semidirect
3. #11777334C2direct (N × H)
4. C2×#10589346C2semidirect
5. C2×D4⋊(C3⋊(C3⋊C8))C2semidirect
6. C2×#10589349C2semidirect
7. C2×#10589320C2semidirect
8. C2×C32×C8×D4C2semidirect
16. C32×C8×D4C22semidirect
30. C8×C4⋊(C3⋊D3)C22semidirect
31. D4⋊(C3⋊(C3⋊C8))C22semidirect
32. #10589349C22semidirect
33. #10589346C22semidirect
34. #10589320C22semidirect
35. C2×C3×C8×D4D3semidirect
59. C2×#3753C8semidirect
95. C3×C8×D4C2×D3semidirect
118. C2×C32×D4C2×C8semidirect
131. C2×C4⋊(C3⋊D3)C2×C8semidirect
152. #3753C2×C8semidirect
162. C2×C3⋊(C3⋊C8)C2×C8semidirect
168. C2×C8×D4C3⋊D3semidirect
230. C32×D4C22×C8semidirect
251. C4⋊(C3⋊D3)C22×C8semidirect
261. C3⋊(C3⋊C8)C22×C8semidirect
272. C8×D4C2×C3⋊D3semidirect
291. C2×C3×D4D3×C8semidirect
417. C3×D4C2×D3×C8semidirect
450. C2×C32#1580semidirect
463. C2×D4C8×C3⋊D3semidirect
529. C32C2×#1580semidirect
544. D4C2×C8×C3⋊D3semidirect
574. C2×C3#70840semidirect
601. C3C2×#70840semidirect
604. C2#11777334direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×#37532
C2×C8×C4⋊(C3⋊D3)2
#117773342
C2×#105893462
C2×D4⋊(C3⋊(C3⋊C8))2
C2×#105893492
C2×#105893202
C2×C32×C8×D42
C2×#708403