Finite Group Databasebeta

← C2×#10594361 #11900099

Subgroups — C2×#10594361 #11900099

Order 1152.

3489 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3796C211yesmaximal, characteristic
2C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C3×#893C211yesmaximal, characteristic, complemented
4C2×C3×#887C211yesmaximal, characteristic, complemented
5C2×C4×#626C212yesmaximal, complemented
6C2×Dic3×D12C211yesmaximal, characteristic, complemented
7C2×#63881C212yesmaximal, complemented
8C2×#63877C212yesmaximal, complemented
9C2×D3×Dic3⋊C4C212yesmaximal, complemented
10C2×#63874C211yesmaximal, characteristic, complemented
11C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
12#10594361C2116yesmaximal, direct product factor
13C2×#5574—31nomaximal
14C2×#5546—31nomaximal
15C22×C4×C3⋊D3C2212yes—
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×Dic6C2211yescharacteristic
20C22×#626C2212yes—
21C22×D3×Dic3C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3796C4116yescomplemented
24C2×#3796C2218yes—
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
27C2×#3750C2212yes—
28C4⋊C4×C3⋊D3C2218yescomplemented
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33C2×C3×C4×Dic3C2212yes—
34C3×#893C2218yescomplemented
35C3×#887C2218yescomplemented
36C2×#3724C2211yescharacteristic
37C2×#3724C2211yescharacteristic
38C2×Dic3⋊Dic3C2212yes—
39C2×#3722C2211yescharacteristic
40C2×#3722C2211yescharacteristic
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43C4×#626C22116yescomplemented
44Dic3×D12C2218yescomplemented
45#63881C22116yescomplemented
46#63877C22116yescomplemented
47D3×Dic3⋊C4C22116yescomplemented
48#63874C2218yescomplemented
49Dic3×Dic6C2218yescomplemented
50C22×#239—31no—
51C22×#237—31no—
52C2×C3×C4×Q8—31no—
53C2×C3×C4×D4—31no—
54C2×Q8×Dic3—31no—
55C2×D4×Dic3—31no—
56C2×C4×#67—32no—
57C22×Dic3⋊C4—32no—
58#5574—316no—
59#5546—316no—
60C2×#893—32no—
61C2×#893D311yescharacteristic, complemented
62C2×D3×C4⋊C4—32no—
63C2×D3×C4⋊C4—31no—
64C2×D3×C4⋊C4—31no—
65C2×D3×C4⋊C4—61no—
66C2×#887D311yescharacteristic, complemented
67C2×#67⋊C4—32no—
68C2×#877—32no—
69C2×C4×D12—31no—
70C2×C4×D12—32no—
71C2×#872—32no—
72C2×#872—31no—
73C2×#872—31no—
74C2×C4×Dic6—31no—
75C23×C3⋊D3C2311yescharacteristic
76C23×C3×D3C2312yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2312yes—
80C22×C3⋊Dic3C2311yescharacteristic
81C2×C4×C3⋊D3—44no—
82C2×C4×C3⋊D3C2×C418yescomplemented
83C2×C4×C3⋊D3C2318yes—
84C2×C4×C3⋊D3C2314yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2312yes—
90C2×C3×D12C2×C418yescomplemented
91C2×C3×D12C2314yes—
92C2×C3×C4×D3—44no—
93C2×C3×C4×D3C2318yes—
94C2×C3×Dic6C2×C418yescomplemented
95C2×C3×Dic6C2314yes—
96C2×#626C2×C4116yescomplemented
97C2×#626C2318yes—
98C2×D3×Dic3—44no—
99C2×D3×Dic3C2×C4116yescomplemented
100C2×D3×Dic3C2318yes—
101C2×D3×Dic3C2318yes—
102#3796C2×C4164yescomplemented
103C32×C4⋊C4C2314yes—
104C4⋊(C3⋊Dic3)C2314yes—
105#3750C2318yes—
106C3×(C2×D3)⋊C4C2318yes—
107C3×Dic3⋊C4C2318yes—
108C3×C4×Dic3C2314yes—
109C3×C4×Dic3C2318yes—
110C3×C4×Dic3C2314yes—
111#3724C2314yes—
112#3724C2314yes—
113Dic3⋊Dic3C2318yes—
114#3722C2314yes—
115#3722C2314yes—
116(C2×D3)⋊Dic3C2318yes—
117Dic32C2318yes—
118C2×#520—91noSylow
119C22×C3×Q8—31no—
120C22×C3×D4—31no—
121C23×C3×C4—32no—
122C22×#67—32no—
123C23×Dic3—32no—
124C23×Dic3—32no—
125C2×#239—316no—
126C2×#239—38no—
127C2×#237—316no—
128C2×#237—38no—
129C22×D12—32no—
130C22×D12C2×D311yescharacteristic
131C22×C4×D3—32no—
132C22×C4×D3—31no—
133C22×C4×D3—31no—
134C22×C4×D3—32no—
135C22×C4×D3—32no—
136C22×C4×D3—32no—
137C22×C4×D3—61no—
138C22×C4×D3—62no—
139C22×C4×D3C2×D312yes—
140C22×Dic6C2×D311yescharacteristic
141C3×C4×Q8—38no—
142C3×C4×D4—38no—
143C2×C3×C4⋊C4—21no—
144C2×C3×C4⋊C4—32no—
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C4⋊C4C2×D311yescharacteristic
147C2×C3×C22⋊C4—32no—
148C2×C3×C42—31no—
149C2×C3×C42—32no—
150C2×C3×C42—31no—
151C2×#217—32no—
152Q8×Dic3—38no—
153D4×Dic3—38no—
154C4×#67—316no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—31no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—31no—
159C2×(C2×D3)⋊C4—31no—
160C2×(C2×D3)⋊C4C2×D312yes—
161C2×C4⋊Dic3—31no—
162C2×C4⋊Dic3—31no—
163C2×C4⋊Dic3—32no—
164C2×C4⋊Dic3—61no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4—31no—
170C2×Dic3⋊C4—31no—
171C2×Dic3⋊C4—31no—
172C2×Dic3⋊C4—316no—
173C2×Dic3⋊C4—62no—
174C2×Dic3⋊C4C2×D312yes—
175C2×C4×Dic3—32no—
176C2×C4×Dic3—32no—
177C2×C4×Dic3C2×D311yescharacteristic
178C2×C4×Dic3C2×D311yescharacteristic
179C2×C4×Dic3C2×D312yes—
180#893—316no—
181#893C2×D318yescomplemented
182D3×C4⋊C4—316no—
183D3×C4⋊C4—38no—
184D3×C4⋊C4—38no—
185D3×C4⋊C4—68no—
186#887C2×D318yescomplemented
187#67⋊C4—316no—
188#877—316no—
189C4×D12—38no—
190C4×D12—316no—
191#872—316no—
192#872—38no—
193#872—38no—
194C4×Dic6—38no—
195C23×C32C2411yescharacteristic
196C22×C3⋊D3—22no—
197C22×C3⋊D3—22no—
198C22×C3⋊D3C22×C414yes—
199C22×C3⋊D3C2412yes—
200C22×C3×D3—24no—
201C22×C3×D3—24no—
202C22×C3×D3C22×C418yes—
203C22×C3×D3C2414yes—
204C2×C32×C4—24no—
205C2×C32×C4C22×C414yes—
206C2×C32×C4C2414yes—
207C2×C32×C4C2412yes—
208C2×C3⋊Dic3—24no—
209C2×C3⋊Dic3C22×C414yes—
210C2×C3⋊Dic3C2414yes—
211C2×C3⋊Dic3C2412yes—
212C4×C3⋊D3—48no—
213C4×C3⋊D3C22×C4116yescomplemented
214C2×C3×Dic3—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3C22×C418yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2414yes—
224C3×D12C22×C4116yescomplemented
225C3×C4×D3—48no—
226C3×Dic6C22×C4116yescomplemented
227#626C22×C4132yescomplemented
228D3×Dic3—48no—
229D3×Dic3C22×C4132yescomplemented
230C22×#41—91no—
231#520—916no—
232C2×C4×Q8—31no—
233C2×C4×Q8—91no—
234C2×C4×D4—31no—
235C2×C4×D4—92no—
236C2×C4×D4—91no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C2×#117—92no—
240C22×C4⋊C4—92no—
241C22×C4⋊C4—91no—
242C24×C3—32no—
243C23×D3—31no—
244C23×D3—31no—
245C23×D3—61no—
246C23×D3C22×D312yes—
247C2×C3×Q8—38no—
248C2×C3×Q8—34no—
249C2×C3×D4—38no—
250C2×C3×D4—34no—
251C22×C3×C4—21no—
252C22×C3×C4—22no—
253C22×C3×C4—32no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—38no—
259C22×C3×C4—124no—
260C22×C3×C4C22×D312yes—
261C22×C3×C4C22×D312yes—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C2×#67—316no—
265C2×#67—38no—
266C22×Dic3—31no—
267C22×Dic3—31no—
268C22×Dic3—316no—
269C22×Dic3—38no—
270C22×Dic3—32no—
271C22×Dic3—32no—
272C22×Dic3—38no—
273C22×Dic3—61no—
274C22×Dic3—62no—
275C22×Dic3—124no—
276C22×Dic3C22×D311yescharacteristic
277C22×Dic3C22×D311yescharacteristic
278C22×Dic3C22×D311yescharacteristic
279C22×Dic3C22×D311yescharacteristic
280C22×Dic3C22×D312yes—
281#239—364no—
282#237—364no—
283C2×D12—316no—
284C2×D12—38no—
285C2×D12C4×D318yescomplemented
286C2×D12C22×D314yes—
287C2×C4×D3—316no—
288C2×C4×D3—38no—
289C2×C4×D3—38no—
290C2×C4×D3—38no—
291C2×C4×D3—34no—
292C2×C4×D3—34no—
293C2×C4×D3—38no—
294C2×C4×D3—38no—
295C2×C4×D3—38no—
296C2×C4×D3—44no—
297C2×C4×D3—64no—
298C2×C4×D3—68no—
299C2×C4×D3—68no—
300C2×C4×D3—124no—
301C2×C4×D3—124no—
302C2×C4×D3—124no—
303C2×C4×D3—128no—
304C2×C4×D3C22×D318yes—
305C2×Dic6C4×D318yescomplemented
306C2×Dic6C22×D314yes—
307C3×C4⋊C4—24no—
308C3×C4⋊C4—38no—
309C3×C4⋊C4C22×D314yes—
310C3×C4⋊C4C22×D314yes—
311C3×C22⋊C4—38no—
312C3×C42—34no—
313C3×C42—38no—
314C3×C42—34no—
315#217—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—34no—
318(C2×D3)⋊C4—34no—
319(C2×D3)⋊C4—34no—
320(C2×D3)⋊C4—34no—
321(C2×D3)⋊C4C22×D318yes—
322C4⋊Dic3—34no—
323C4⋊Dic3—34no—
324C4⋊Dic3—38no—
325C4⋊Dic3—64no—
326Dic3⋊C4—38no—
327Dic3⋊C4—38no—
328Dic3⋊C4—38no—
329Dic3⋊C4—34no—
330Dic3⋊C4—34no—
331Dic3⋊C4—34no—
332Dic3⋊C4—34no—
333Dic3⋊C4—68no—
334Dic3⋊C4C22×D318yes—
335C4×Dic3—38no—
336C4×Dic3—38no—
337C4×Dic3C22×D314yes—
338C4×Dic3C22×D314yes—
339C4×Dic3C22×D318yes—
340C22×C32C23×C412yes—
341C22×C32H(5,𝔽2)12yes—
342C22×C322−1+412yes—
343C22×C32C2511yescharacteristic
344C2×C3⋊D3—28no—
345C2×C3⋊D3—22no—
346C2×C3⋊D3—22no—
347C2×C3⋊D3C23×C414yes—
348C2×C3×D3—216no—
349C2×C3×D3—24no—
350C2×C3×D3—24no—
351C2×C3×D3C23×C418yes—
352C32×C4—24no—
353C32×C4C23×C414yes—
354C3⋊Dic3—24no—
355C3⋊Dic3C23×C414yes—
356C3×Dic3—22no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3—22no—
360C3×Dic3C23×C418yes—
361C2×#41—98no—
362C2×#41—916no—
363C22×Q8—31no—
364C22×D4—31no—
365C22×D4—92no—
366C23×C4—32no—
367C23×C4—92no—
368C23×C4—92no—
369C23×C4—91no—
370C23×C4—92no—
371C4×Q8—38no—
372C4×Q8—98no—
373C4×D4—38no—
374C4×D4—916no—
375C4×D4—98no—
376C4×D4—916no—
377#117—98no—
378#117—916no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—916no—
381C2×C4⋊C4—91no—
382C2×C4⋊C4—92no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—98no—
387C2×C4⋊C4D3211yescharacteristic
388C2×C22⋊C4—32no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—92no—
392C2×C42—31no—
393C2×C42—32no—
394C2×C42—31no—
395C2×C42—92no—
396C23×C3—21no—
397C23×C3—38no—
398C23×C3—34no—
399C23×C3—64no—
400C23×C3—64no—
401C23×C3C23×D311yescharacteristic
402C23×C3C23×D311yescharacteristic
403C22×D3—24no—
404C22×D3—24no—
405C22×D3—34no—
406C22×D3—34no—
407C22×D3—32no—
408C22×D3—32no—
409C22×D3—64no—
410C22×D3—62no—
411C22×D3—64no—
412C22×D3—64no—
413C22×D3—62no—
414C22×D3—62no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3C2×C4×D318yes—
418C22×D3C23×D314yes—
419C3×Q8—316no—
420C3×D4—316no—
421C2×C3×C4—24no—
422C2×C3×C4—24no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—38no—
427C2×C3×C4—34no—
428C2×C3×C4—32no—
429C2×C3×C4—32no—
430C2×C3×C4—32no—
431C2×C3×C4—32no—
432C2×C3×C4—44no—
433C2×C3×C4—62no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4—62no—
437C2×C3×C4—128no—
438C2×C3×C4C2×C4×D314yes—
439C2×C3×C4C2×C4×D314yes—
440C2×C3×C4C23×D314yes—
441C2×C3×C4C23×D314yes—
442C2×C3×C4C23×D312yes—
443C2×C3×C4C23×D312yes—
444#67—332no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—34no—
450C2×Dic3—34no—
451C2×Dic3—32no—
452C2×Dic3—32no—
453C2×Dic3—332no—
454C2×Dic3—34no—
455C2×Dic3—34no—
456C2×Dic3—64no—
457C2×Dic3—62no—
458C2×Dic3—64no—
459C2×Dic3—64no—
460C2×Dic3—64no—
461C2×Dic3—124no—
462C2×Dic3—128no—
463C2×Dic3C2×C4×D318yes—
464C2×Dic3C23×D312yes—
465C2×Dic3C23×D312yes—
466C2×Dic3C23×D312yes—
467C2×Dic3C23×D312yes—
468C2×Dic3C23×D314yes—
469D12—332no—
470D12C2×C4×D3116yescomplemented
471C4×D3—332no—
472C4×D3—316no—
473C4×D3—316no—
474C4×D3—48no—
475C4×D3—616no—
476C4×D3—128no—
477C4×D3—128no—
478C4×D3—128no—
479C4×D3—1216no—
480Dic6C2×C4×D3116yescomplemented
481C2×C32#52014yescomplemented
482C2×C32C24×C411yescharacteristic
483C2×C32C2×H(5,𝔽2)11yescharacteristic
484C2×C32C2×2−1+411yescharacteristic
485C3⋊D3—24no—
486C3×D3—28no—
487C24—32no—
488C24—91no—
489#41—964no—
490C2×Q8—34no—
491C2×Q8—38no—
492C2×D4—34no—
493C2×D4—38no—
494C2×D4—98no—
495C2×D4—916no—
496C22×C4—32no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—31no—
501C22×C4—38no—
502C22×C4—98no—
503C22×C4—916no—
504C22×C4—98no—
505C22×C4—91no—
506C22×C4—94no—
507C22×C4—98no—
508C22×C4—92no—
509C22×C4—98no—
510C22×C4—124no—
511C22×C4—364no—
512C22×C4—364no—
513C22×C4C2×D3212yes—
514C22×C4C2×D3211yescharacteristic
515C4⋊C4—38no—
516C4⋊C4—94no—
517C4⋊C4—98no—
518C4⋊C4—94no—
519C4⋊C4—98no—
520C4⋊C4—94no—
521C4⋊C4C2×D3214yes—
522C22⋊C4—38no—
523C22⋊C4—94no—
524C22⋊C4—94no—
525C22⋊C4—98no—
526C42—34no—
527C42—38no—
528C42—34no—
529C42—98no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—21no—
534C22×C3—38no—
535C22×C3—64no—
536C22×C3—64no—
537C22×C3—616no—
538C22×C3C22×C4×D312yes—
539C22×C3C22×C4×D312yes—
540C22×C3#100412yes—
541C22×C3#100712yes—
542C22×C3#100912yes—
543C22×C3#101012yes—
544C22×C3C24×D311yescharacteristic
545C22×C3C24×D311yescharacteristic
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—216no—
549C2×D3—34no—
550C2×D3—34no—
551C2×D3—64no—
552C2×D3—64no—
553C2×D3—616no—
554C2×D3—64no—
555C2×D3—62no—
556C2×D3—62no—
557C2×D3—62no—
558C2×D3—62no—
559C2×D3—68no—
560C2×D3—68no—
561C2×D3C22×C4×D318yes—
562C3×C4—24no—
563C3×C4—24no—
564C3×C4—24no—
565C3×C4—38no—
566C3×C4—44no—
567C3×C4—62no—
568C3×C4—62no—
569C3×C4—62no—
570C3×C4—62no—
571C3×C4C22×C4×D314yes—
572C3×C4C22×C4×D314yes—
573Dic3—22no—
574Dic3—22no—
575Dic3—22no—
576Dic3—22no—
577Dic3—34no—
578Dic3—34no—
579Dic3—64no—
580Dic3—64no—
581Dic3—64no—
582Dic3—124no—
583Dic3C22×C4×D318yes—
584C32C2×#52011yescharacteristic, complemented, Sylow
585C23—38no—
586C23—34no—
587C23—64no—
588C23—64no—
589C23—94no—
590C23—92no—
591C23—182no—
592C23—182no—
593C23C22×D3211yescharacteristic
594Q8—316no—
595D4—316no—
596D4—932no—
597C2×C4—24no—
598C2×C4—38no—
599C2×C4—34no—
600C2×C4—32no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—32no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—932no—
609C2×C4—94no—
610C2×C4—92no—
611C2×C4—916no—
612C2×C4—94no—
613C2×C4—128no—
614C2×C4—184no—
615C2×C4—368no—
616C2×C4—368no—
617C2×C4C4×D3214yes—
618C2×C4C22×D3214yes—
619C2×C4C22×D3212yes—
620C2×C3—21no—
621C2×C3—24no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—68no—
625C2×C3#554614yescomplemented
626C2×C3#557414yescomplemented
627C2×C3C23×C4×D311yescharacteristic
628C2×C3C23×C4×D311yescharacteristic
629C2×C3C2×#100411yescharacteristic
630C2×C3C2×#100711yescharacteristic
631C2×C3C2×#100911yescharacteristic
632C2×C3C2×#101011yescharacteristic
633D3—28no—
634D3—68no—
635D3—64no—
636D3—64no—
637C22—38no—
638C22—616no—
639C22—64no—
640C22—64no—
641C22—94no—
642C22—188no—
643C22—182no—
644C22—182no—
645C22C2×C4×D3212yes—
646C22#6431412yes—
647C22#6431512yes—
648C22C23×D3211yescharacteristic
649C4—24no—
650C4—38no—
651C4—62no—
652C4—62no—
653C4—62no—
654C4—62no—
655C4—94no—
656C4—184no—
657C4C2×C4×D3214yes—
658C3—21no—
659C3C2×#554611yescharacteristic, complemented
660C3C2×#557411yescharacteristic, complemented
661C2—68no—
662C2—184no—
663C2#1059436114yesdirect product factor
664C2C22×C4×D3211yescharacteristic
665C2C2×#6431411yescharacteristic
666C2C2×#6431511yescharacteristic
subgroupG/H
centerC23C22×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC22×#3796C2
cosocleC22×C32C25
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#520
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4⋊C4×C3⋊D3C2semidirect
3. C2×C3×#893C2semidirect
4. C2×C3×#887C2semidirect
5. C2×C4×#626C2semidirect
6. C2×Dic3×D12C2semidirect
7. C2×#63881C2semidirect
8. C2×#63877C2semidirect
9. C2×D3×Dic3⋊C4C2semidirect
10. C2×#63874C2semidirect
11. C2×Dic3×Dic6C2semidirect
12. #10594361C2direct (N × H)
23. C2×#3796C4semidirect
28. C4⋊C4×C3⋊D3C22semidirect
34. C3×#893C22semidirect
35. C3×#887C22semidirect
43. C4×#626C22semidirect
44. Dic3×D12C22semidirect
45. #63881C22semidirect
46. #63877C22semidirect
47. D3×Dic3⋊C4C22semidirect
48. #63874C22semidirect
49. Dic3×Dic6C22semidirect
61. C2×#893D3semidirect
66. C2×#887D3semidirect
82. C2×C4×C3⋊D3C2×C4semidirect
90. C2×C3×D12C2×C4semidirect
94. C2×C3×Dic6C2×C4semidirect
96. C2×#626C2×C4semidirect
99. C2×D3×Dic3C2×C4semidirect
102. #3796C2×C4semidirect
181. #893C2×D3semidirect
186. #887C2×D3semidirect
213. C4×C3⋊D3C22×C4semidirect
224. C3×D12C22×C4semidirect
226. C3×Dic6C22×C4semidirect
227. #626C22×C4semidirect
229. D3×Dic3C22×C4semidirect
285. C2×D12C4×D3semidirect
305. C2×Dic6C4×D3semidirect
470. D12C2×C4×D3semidirect
480. Dic6C2×C4×D3semidirect
481. C2×C32#520semidirect
584. C32C2×#520semidirect
625. C2×C3#5546semidirect
626. C2×C3#5574semidirect
659. C3C2×#5546semidirect
660. C3C2×#5574semidirect
663. C2#10594361direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37962
C2×C4⋊C4×C3⋊D32
C2×C3×#8932
C2×C3×#8872
C2×C4×#6262
C2×Dic3×D122
C2×#638812
C2×#638772
C2×D3×Dic3⋊C42
C2×#638742
C2×Dic3×Dic62
#105943612
C2×#55743
C2×#55463