Finite Group Databasebeta

← C2×#10593925 #11903176

Subgroups — C2×#10593925 #11903176

Order 1152.

2717 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×#870C211yesmaximal, characteristic, complemented
4C2×#63909C211yesmaximal, characteristic, complemented
5C2×#63909C211yesmaximal, characteristic, complemented
6C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
7C2×#63886C212yesmaximal, complemented
8C2×#63881C212yesmaximal, complemented
9C2×#63853C212yesmaximal, complemented
10C2×#63848C212yesmaximal, complemented
11C2×#63841C211yesmaximal, characteristic, complemented
12#10593925C2116yesmaximal, direct product factor
13C2×#5695—31nomaximal
14C2×#5565—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2212yes—
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×C3×C4×D3C2211yescharacteristic
20C22×#626C2212yes—
21C22×#626C2212yes—
22C22×D3×Dic3C2212yes—
23C2×C32×C42C2211yescharacteristic
24C2×#3752C2212yes—
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C4×C4⋊(C3⋊D3)C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×Dic3⋊C4C2212yes—
34C3×C4×D12C2218yescomplemented
35C3×#870C2218yescomplemented
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×Dic32C2212yes—
41#63909C2218yescomplemented
42#63909C2218yescomplemented
43D3×C4⋊Dic3C2218yescomplemented
44#63886C22116yescomplemented
45#63881C22116yescomplemented
46#63853C22116yescomplemented
47#63848C22116yescomplemented
48#63841C2218yescomplemented
49C2×C3×#125—31no—
50C2×C3×C4×D4—31no—
51C2×#939—32no—
52C2×#930—31no—
53C2×#930—31no—
54C2×#926—31no—
55C22×C4⋊Dic3—31no—
56#5695—316no—
57#5565—316no—
58C2×#898—32no—
59C2×#898—32no—
60C2×#895—32no—
61C2×#895—31no—
62C2×#895—31no—
63C2×#894—32no—
64C2×#893—32no—
65C2×#892—31no—
66C2×D3×C4⋊C4—31no—
67C2×#883—32no—
68C2×#67⋊C4—32no—
69C2×C4×D12—31no—
70C2×C4×D12—31no—
71C2×C4×D12—61no—
72C2×C4×D12D311yescharacteristic, complemented
73C2×#870D311yescharacteristic, complemented
74C23×C3⋊D3C2312yes—
75C23×C3×D3C2311yescharacteristic
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3C2312yes—
81C2×C4⋊(C3⋊D3)—24no—
82C2×C4⋊(C3⋊D3)C2314yes—
83C2×C4×C3⋊D3—44no—
84C2×C4×C3⋊D3C2318yes—
85C22×C3×Dic3C2312yes—
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C2×C3×D12—24no—
90C2×C3×D12C2314yes—
91C2×C3×C4×D3—24no—
92C2×C3×C4×D3—24no—
93C2×C3×C4×D3C2314yes—
94C2×C3×C4×D3C2314yes—
95C2×#626—28no—
96C2×#626—44no—
97C2×#626C2318yes—
98C2×#626C2318yes—
99C2×D3×Dic3—44no—
100C2×D3×Dic3C2318yes—
101C32×C42C2314yes—
102#3752C2318yes—
103C4⋊(C3⋊Dic3)C2314yes—
104C3×(C2×D3)⋊C4C2314yes—
105C3×(C2×D3)⋊C4C2314yes—
106C3×C4⋊Dic3C2314yes—
107C3×C4⋊Dic3C2314yes—
108C3×C4⋊Dic3C2314yes—
109C3×Dic3⋊C4C2318yes—
110C3×Dic3⋊C4C2318yes—
111Dic3⋊Dic3C2318yes—
112#3722C2318yes—
113#3722C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#553—91noSylow
117C22×C3×D4—31no—
118C23×C3×C4—31no—
119C23×C3×C4—31no—
120C22×#67—32no—
121C22×#67—32no—
122C23×Dic3—32no—
123C22×D12—32no—
124C22×D12—31no—
125C22×D12—31no—
126C22×D12—32no—
127C22×D12—61no—
128C22×D12C2×D311yescharacteristic
129C22×C4×D3—32no—
130C22×C4×D3—32no—
131C22×C4×D3—32no—
132C22×C4×D3—62no—
133C22×C4×D3C2×D311yescharacteristic
134C22×C4×D3C2×D311yescharacteristic
135C3×#125—38no—
136C3×C4×D4—38no—
137C2×C3×C4⋊C4—32no—
138C2×C3×C4⋊C4—32no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C4⋊C4—31no—
141C2×C3×C4⋊C4—31no—
142C2×C3×C22⋊C4—31no—
143C2×C3×C22⋊C4—31no—
144C2×C3×C42—21no—
145C2×C3×C42C2×D311yescharacteristic
146C2×C3×C42C2×D311yescharacteristic
147C2×#217—32no—
148#939—316no—
149#930—38no—
150#930—38no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—62no—
159C2×(C2×D3)⋊C4C2×D311yescharacteristic
160C2×(C2×D3)⋊C4C2×D311yescharacteristic
161#926—38no—
162C2×C4⋊Dic3—31no—
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—32no—
165C2×C4⋊Dic3—38no—
166C2×C4⋊Dic3—61no—
167C2×C4⋊Dic3C2×D311yescharacteristic
168C2×C4⋊Dic3C2×D311yescharacteristic
169C2×C4⋊Dic3C2×D311yescharacteristic
170C2×Dic3⋊C4—32no—
171C2×Dic3⋊C4C2×D312yes—
172C2×Dic3⋊C4C2×D312yes—
173C2×C4×Dic3—32no—
174C2×C4×Dic3—32no—
175#898—316no—
176#898—316no—
177#895—316no—
178#895—38no—
179#895—38no—
180#894—316no—
181#893—316no—
182#892—38no—
183D3×C4⋊C4—38no—
184#883—316no—
185#67⋊C4—316no—
186C4×D12—38no—
187C4×D12—38no—
188C4×D12—68no—
189C4×D12C2×D318yescomplemented
190#870C2×D318yescomplemented
191C23×C32C2411yescharacteristic
192C22×C3⋊D3—24no—
193C22×C3⋊D3—24no—
194C22×C3⋊D3—24no—
195C22×C3⋊D3C2414yes—
196C22×C3×D3—22no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3#4114yes—
202C22×C3×D3C2412yes—
203C22×C3×D3C2412yes—
204C2×C32×C4—22no—
205C2×C32×C4—22no—
206C2×C32×C4#4114yes—
207C2×C32×C4C2412yes—
208C2×C32×C4C2412yes—
209C2×C32×C4C2412yes—
210C2×C3⋊Dic3—24no—
211C2×C3⋊Dic3C2414yes—
212C4⋊(C3⋊D3)—28no—
213C4×C3⋊D3—48no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3C2412yes—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2414yes—
222C3×D12—28no—
223C3×C4×D3—28no—
224C3×C4×D3—28no—
225#626—216no—
226#626—48no—
227D3×Dic3—48no—
228#553—916no—
229C2×#126—92no—
230C2×#125—31no—
231C2×#123—92no—
232C2×#121—91no—
233C2×#121—91no—
234C2×#121—92no—
235C2×C4×D4—31no—
236C2×C4×D4—92no—
237C2×C4×D4—91no—
238C2×#117—91no—
239C22×C4⋊C4—91no—
240C24×C3—31no—
241C24×C3—31no—
242C23×D3—32no—
243C23×D3—32no—
244C23×D3—62no—
245C23×D3C22×D311yescharacteristic
246C23×D3C22×D311yescharacteristic
247C2×C3×D4—34no—
248C2×C3×D4—64no—
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—31no—
253C22×C3×C4—32no—
254C22×C3×C4—32no—
255C22×C3×C4—31no—
256C22×C3×C4—34no—
257C22×C3×C4—34no—
258C22×C3×C4—64no—
259C22×C3×C4—64no—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C22×C3×C4C22×D311yescharacteristic
266C2×#67—38no—
267C2×#67—38no—
268C2×#67—68no—
269C2×#67—124no—
270C22×Dic3—32no—
271C22×Dic3—32no—
272C22×Dic3—38no—
273C22×Dic3—62no—
274C22×Dic3—124no—
275C22×Dic3C22×D311yescharacteristic
276C22×Dic3C22×D312yes—
277C22×Dic3C22×D311yescharacteristic
278C22×Dic3C22×D312yes—
279C2×D12—24no—
280C2×D12—38no—
281C2×D12—34no—
282C2×D12—34no—
283C2×D12—38no—
284C2×D12—64no—
285C2×D12—68no—
286C2×D12—68no—
287C2×D12—64no—
288C2×D12—64no—
289C2×D12—124no—
290C2×D12C22×D314yes—
291C2×C4×D3—24no—
292C2×C4×D3—24no—
293C2×C4×D3—38no—
294C2×C4×D3—38no—
295C2×C4×D3—38no—
296C2×C4×D3—68no—
297C2×C4×D3—124no—
298C2×C4×D3—124no—
299C2×C4×D3—124no—
300C2×C4×D3—128no—
301C2×C4×D3C22×D314yes—
302C2×C4×D3C22×D314yes—
303C3×C4⋊C4—34no—
304C3×C4⋊C4—34no—
305C3×C4⋊C4—38no—
306C3×C4⋊C4—38no—
307C3×C4⋊C4—34no—
308C3×C22⋊C4—34no—
309C3×C22⋊C4—34no—
310C3×C42—24no—
311C3×C42C22×D314yes—
312C3×C42C22×D314yes—
313#217—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—38no—
320(C2×D3)⋊C4—38no—
321(C2×D3)⋊C4—68no—
322(C2×D3)⋊C4C22×D314yes—
323(C2×D3)⋊C4C22×D314yes—
324C4⋊Dic3—34no—
325C4⋊Dic3—34no—
326C4⋊Dic3—38no—
327C4⋊Dic3—64no—
328C4⋊Dic3C22×D314yes—
329C4⋊Dic3C22×D314yes—
330C4⋊Dic3C22×D314yes—
331Dic3⋊C4—38no—
332Dic3⋊C4C22×D318yes—
333Dic3⋊C4C22×D318yes—
334C4×Dic3—38no—
335C4×Dic3—38no—
336C22×C32C2×#4112yes—
337C22×C32C2×#4112yes—
338C22×C32H(5,𝔽2)12yes—
339C22×C32C2511yescharacteristic
340C2×C3⋊D3—24no—
341C2×C3⋊D3—24no—
342C2×C3⋊D3—24no—
343C2×C3⋊D3—48no—
344C2×C3×D3—28no—
345C2×C3×D3—22no—
346C2×C3×D3—22no—
347C2×C3×D3—22no—
348C2×C3×D3—22no—
349C2×C3×D3—22no—
350C2×C3×D3—44no—
351C2×C3×D3C2×#4114yes—
352C32×C4—22no—
353C32×C4—22no—
354C32×C4C2×#4114yes—
355C3⋊Dic3—24no—
356C3×Dic3—24no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3—24no—
360C22×D4—31no—
361C22×D4—92no—
362C22×D4—92no—
363C22×D4—91no—
364C23×C4—31no—
365C23×C4—31no—
366C23×C4—92no—
367C23×C4—92no—
368#126—916no—
369#125—38no—
370#123—916no—
371#121—98no—
372#121—98no—
373#121—916no—
374C4×D4—38no—
375C4×D4—916no—
376C4×D4—98no—
377#117—98no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—31no—
381C2×C4⋊C4—32no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—98no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—91no—
386C2×C22⋊C4—31no—
387C2×C22⋊C4—31no—
388C2×C22⋊C4—92no—
389C2×C22⋊C4—92no—
390C2×C22⋊C4—92no—
391C2×C22⋊C4—92no—
392C2×C42—92no—
393C2×C42D3211yescharacteristic
394C23×C3—21no—
395C23×C3—34no—
396C23×C3—32no—
397C23×C3—32no—
398C23×C3—62no—
399C23×C3—62no—
400C23×C3—62no—
401C23×C3—62no—
402C23×C3—62no—
403C23×C3C23×D311yescharacteristic
404C23×C3C23×D311yescharacteristic
405C22×D3—22no—
406C22×D3—22no—
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—34no—
411C22×D3—34no—
412C22×D3—64no—
413C22×D3—68no—
414C22×D3—64no—
415C22×D3—64no—
416C22×D3—64no—
417C22×D3—64no—
418C22×D3—64no—
419C22×D3—64no—
420C22×D3—124no—
421C22×D3—124no—
422C22×D3#23514yes—
423C22×D3C23×D312yes—
424C22×D3C23×D312yes—
425C3×D4—68no—
426C2×C3×C4—24no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—24no—
435C2×C3×C4—32no—
436C2×C3×C4—34no—
437C2×C3×C4—34no—
438C2×C3×C4—32no—
439C2×C3×C4—42no—
440C2×C3×C4—64no—
441C2×C3×C4—62no—
442C2×C3×C4—62no—
443C2×C3×C4—64no—
444C2×C3×C4—68no—
445C2×C3×C4—68no—
446C2×C3×C4#23714yes—
447C2×C3×C4#23914yes—
448C2×C3×C4C23×D312yes—
449C2×C3×C4C23×D312yes—
450C2×C3×C4C23×D312yes—
451C2×C3×C4C23×D312yes—
452C2×C3×C4C23×D312yes—
453C2×C3×C4C23×D312yes—
454#67—616no—
455#67—128no—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—24no—
459C2×Dic3—24no—
460C2×Dic3—34no—
461C2×Dic3—34no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464C2×Dic3—64no—
465C2×Dic3—124no—
466C2×Dic3—128no—
467C2×Dic3C23×D312yes—
468C2×Dic3C23×D314yes—
469C2×Dic3C23×D312yes—
470C2×Dic3C23×D314yes—
471D12—28no—
472D12—616no—
473D12—616no—
474D12—68no—
475D12—68no—
476D12—128no—
477C4×D3—28no—
478C4×D3—28no—
479C4×D3—128no—
480C4×D3—128no—
481C4×D3—128no—
482C4×D3—1216no—
483C2×C32#55314yescomplemented
484C2×C32C22×#4111yescharacteristic
485C2×C32C22×#4111yescharacteristic
486C2×C32C2×H(5,𝔽2)11yescharacteristic
487C3⋊D3—44no—
488C3×D3—24no—
489C3×D3—42no—
490C24—31no—
491C24—31no—
492C24—92no—
493C2×D4—34no—
494C2×D4—64no—
495C2×D4—98no—
496C2×D4—98no—
497C2×D4—94no—
498C2×D4—188no—
499C2×D4—184no—
500C2×D4—364no—
501C22×C4—31no—
502C22×C4—32no—
503C22×C4—31no—
504C22×C4—32no—
505C22×C4—34no—
506C22×C4—34no—
507C22×C4—64no—
508C22×C4—64no—
509C22×C4—98no—
510C22×C4—92no—
511C22×C4—98no—
512C22×C4—364no—
513C22×C4—364no—
514C22×C4C2×D3211yescharacteristic
515C22×C4C2×D3211yescharacteristic
516C22×C4C2×D3211yescharacteristic
517C4⋊C4—34no—
518C4⋊C4—34no—
519C4⋊C4—34no—
520C4⋊C4—38no—
521C4⋊C4—38no—
522C4⋊C4—98no—
523C4⋊C4—94no—
524C22⋊C4—34no—
525C22⋊C4—34no—
526C22⋊C4—98no—
527C22⋊C4—98no—
528C22⋊C4—98no—
529C22⋊C4—98no—
530C42—98no—
531C42C2×D3214yes—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—21no—
536C22×C3—34no—
537C22×C3—68no—
538C22×C3—62no—
539C22×C3—62no—
540C22×C3—62no—
541C22×C3—62no—
542C22×C3—62no—
543C22×C3—124no—
544C22×C3C2×#23512yes—
545C22×C3C2×#23712yes—
546C22×C3C2×#23912yes—
547C22×C3D3×#4112yes—
548C22×C3#100912yes—
549C22×C3#100912yes—
550C22×C3C24×D311yescharacteristic
551C22×C3C24×D311yescharacteristic
552C2×D3—22no—
553C2×D3—22no—
554C2×D3—28no—
555C2×D3—22no—
556C2×D3—22no—
557C2×D3—22no—
558C2×D3—44no—
559C2×D3—68no—
560C2×D3—64no—
561C2×D3—64no—
562C2×D3—64no—
563C2×D3—64no—
564C2×D3—64no—
565C2×D3—64no—
566C2×D3—124no—
567C2×D3—124no—
568C2×D3—1216no—
569C2×D3—128no—
570C2×D3—128no—
571C2×D3C2×#23514yes—
572C3×C4—24no—
573C3×C4—22no—
574C3×C4—22no—
575C3×C4—22no—
576C3×C4—22no—
577C3×C4—24no—
578C3×C4—42no—
579C3×C4—64no—
580C3×C4—62no—
581C3×C4—62no—
582C3×C4—64no—
583C3×C4C2×#23714yes—
584C3×C4C2×#23914yes—
585Dic3—22no—
586Dic3—22no—
587Dic3—24no—
588Dic3—24no—
589Dic3—64no—
590Dic3—64no—
591Dic3—124no—
592C32C2×#55311yescharacteristic, complemented, Sylow
593C23—34no—
594C23—32no—
595C23—32no—
596C23—62no—
597C23—62no—
598C23—62no—
599C23—62no—
600C23—62no—
601C23—94no—
602C23—184no—
603C23—184no—
604C23—184no—
605C23C22×D3211yescharacteristic
606D4—68no—
607D4—1816no—
608D4—188no—
609D4—368no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—32no—
613C2×C4—34no—
614C2×C4—32no—
615C2×C4—34no—
616C2×C4—62no—
617C2×C4—62no—
618C2×C4—64no—
619C2×C4—64no—
620C2×C4—68no—
621C2×C4—68no—
622C2×C4—94no—
623C2×C4—184no—
624C2×C4—368no—
625C2×C4—368no—
626C2×C4#379614yes—
627C2×C4C22×D3212yes—
628C2×C4C22×D3212yes—
629C2×C4C22×D3212yes—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—24no—
634C2×C3—64no—
635C2×C3—122no—
636C2×C3#556514yescomplemented
637C2×C3#569514yescomplemented
638C2×C3C22×#23511yescharacteristic
639C2×C3C22×#23711yescharacteristic
640C2×C3C22×#23911yescharacteristic
641C2×C3C2×D3×#4111yescharacteristic
642C2×C3C2×#100911yescharacteristic
643C2×C3C2×#100911yescharacteristic
644D3—24no—
645D3—42no—
646D3—128no—
647D3—124no—
648D3—124no—
649C22—34no—
650C22—62no—
651C22—62no—
652C22—68no—
653C22—62no—
654C22—62no—
655C22—62no—
656C22—124no—
657C22—184no—
658C22—184no—
659C22—184no—
660C22—368no—
661C22C2×#379612yes—
662C22D3×#23512yes—
663C22#6430812yes—
664C22C23×D3211yescharacteristic
665C4—22no—
666C4—22no—
667C4—62no—
668C4—62no—
669C4—64no—
670C4—64no—
671C4—184no—
672C4C2×#379614yes—
673C3—21no—
674C3C2×#556511yescharacteristic, complemented
675C3C2×#569511yescharacteristic, complemented
676C2—64no—
677C2—122no—
678C2—364no—
679C2#1059392514yesdirect product factor
680C2C22×#379611yescharacteristic
681C2C2×D3×#23511yescharacteristic
682C2C2×#6430811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
hypercenterC2×C42D32
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊(C3⋊D3)C2semidirect
2. C2×C3×C4×D12C2semidirect
3. C2×C3×#870C2semidirect
4. C2×#63909C2semidirect
5. C2×#63909C2semidirect
6. C2×D3×C4⋊Dic3C2semidirect
7. C2×#63886C2semidirect
8. C2×#63881C2semidirect
9. C2×#63853C2semidirect
10. C2×#63848C2semidirect
11. C2×#63841C2semidirect
12. #10593925C2direct (N × H)
26. C4×C4⋊(C3⋊D3)C22semidirect
34. C3×C4×D12C22semidirect
35. C3×#870C22semidirect
41. #63909C22semidirect
42. #63909C22semidirect
43. D3×C4⋊Dic3C22semidirect
44. #63886C22semidirect
45. #63881C22semidirect
46. #63853C22semidirect
47. #63848C22semidirect
48. #63841C22semidirect
72. C2×C4×D12D3semidirect
73. C2×#870D3semidirect
189. C4×D12C2×D3semidirect
190. #870C2×D3semidirect
483. C2×C32#553semidirect
592. C32C2×#553semidirect
636. C2×C3#5565semidirect
637. C2×C3#5695semidirect
674. C3C2×#5565semidirect
675. C3C2×#5695semidirect
679. C2#10593925direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊(C3⋊D3)2
C2×C3×C4×D122
C2×C3×#8702
C2×#639092
C2×D3×C4⋊Dic32
C2×#638862
C2×#638812
C2×#638532
C2×#638482
C2×#638412
#105939252
C2×#56953
C2×#55653