Finite Group Databasebeta

← C2×#10593875 #11900647

Subgroups — C2×#10593875 #11900647

Order 1152.

2713 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C42×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
4C2×#63916C211yesmaximal, characteristic
5C2×C4×#626C212yesmaximal, complemented
6C2×#63872C211yesmaximal, characteristic, complemented
7C2×#63871C211yesmaximal, characteristic, complemented
8C2×#63863C211yesmaximal, characteristic, complemented
9C2×#63862C212yesmaximal, complemented
10C2×#63855C212yesmaximal, complemented
11C2×#63853C212yesmaximal, complemented
12#10593875C2116yesmaximal, direct product factor
13C2×#5580—31nomaximal
14C2×#5557—31nomaximal
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×D12C2211yescharacteristic
19C22×C3×C4×D3C2212yes—
20C22×C3×Dic6C2211yescharacteristic
21C22×#626C2212yes—
22C2×C32×C42C2211yescharacteristic
23C2×C4×C3⋊Dic3C2211yescharacteristic
24C2×C4×C3⋊Dic3C2211yescharacteristic
25C2×C4×C3⋊Dic3C2211yescharacteristic
26C42×C3⋊D3C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×C4×Dic3C2212yes—
32C3×C4×D12C2218yescomplemented
33C3×C4×Dic6C2218yescomplemented
34C2×Dic3⋊Dic3C2212yes—
35C2×Dic3⋊Dic3C2212yes—
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2212yes—
38C2×(C2×D3)⋊Dic3C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41#63916C2218yes—
42C4×#626C22116yescomplemented
43#63872C2218yescomplemented
44#63871C2218yescomplemented
45#63863C2218yescomplemented
46#63862C22116yescomplemented
47#63855C22116yescomplemented
48#63853C22116yescomplemented
49C2×C3×C4×Q8—31no—
50C2×C3×C4×D4—31no—
51C2×#947—31no—
52C2×#946—31no—
53C2×#938—31no—
54C2×#936—31no—
55C2×C4×#67—32no—
56C2×#926—32no—
57#5580—316no—
58#5557—316no—
59C2×#898—32no—
60C2×#897—31no—
61C2×#895—31no—
62C2×#894—32no—
63C2×#890—31no—
64C2×#890—31no—
65C2×#883—32no—
66C2×#879—32no—
67C2×C4×D12—32no—
68C2×C4×D12D311yescharacteristic, complemented
69C2×#872—32no—
70C2×C42×D3—31no—
71C2×C42×D3—31no—
72C2×C42×D3—61no—
73C2×C4×Dic6D311yescharacteristic, complemented
74C23×C3⋊D3C2311yescharacteristic
75C23×C3×D3C2312yes—
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2311yescharacteristic
82C2×C4×C3⋊D3—24no—
83C2×C4×C3⋊D3—24no—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yes—
86C2×C4×C3⋊D3C2314yes—
87C2×C4×C3⋊D3C2314yes—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C2×C3×D12—24no—
92C2×C3×D12C2314yes—
93C2×C3×C4×D3—28no—
94C2×C3×C4×D3C2318yes—
95C2×C3×Dic6—24no—
96C2×C3×Dic6C2314yes—
97C2×#626—28no—
98C2×#626C2318yes—
99C32×C42C2314yes—
100C4×C3⋊Dic3C2314yes—
101C4×C3⋊Dic3C2314yes—
102C4×C3⋊Dic3C2314yes—
103C3×(C2×D3)⋊C4C2318yes—
104C3×C4⋊Dic3C2314yes—
105C3×C4⋊Dic3C2314yes—
106C3×Dic3⋊C4C2318yes—
107C3×C4×Dic3C2318yes—
108Dic3⋊Dic3C2318yes—
109Dic3⋊Dic3C2318yes—
110Dic3⋊Dic3C2318yes—
111#3722C2318yes—
112(C2×D3)⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115C2×#529—91noSylow
116C22×C3×Q8—31no—
117C22×C3×D4—31no—
118C23×C3×C4—32no—
119C22×#67—32no—
120C22×D12—32no—
121C22×D12C2×D311yescharacteristic
122C22×C4×D3—31no—
123C22×C4×D3—31no—
124C22×C4×D3—31no—
125C22×C4×D3—31no—
126C22×C4×D3—31no—
127C22×C4×D3—31no—
128C22×C4×D3—61no—
129C22×C4×D3—61no—
130C22×C4×D3—61no—
131C22×C4×D3C2×D312yes—
132C22×Dic6C2×D311yescharacteristic
133C3×C4×Q8—38no—
134C3×C4×D4—38no—
135C2×C3×C4⋊C4—32no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C42—21no—
140C2×C3×C42—32no—
141C2×C3×C42C2×D311yescharacteristic
142C2×C3×C42C2×D311yescharacteristic
143C2×#217—32no—
144C2×#217—32no—
145C2×#217—32no—
146#947—38no—
147#946—38no—
148#938—38no—
149#936—38no—
150C4×#67—316no—
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)⋊C4C2×D312yes—
157#926—316no—
158C2×C4⋊Dic3—32no—
159C2×C4⋊Dic3—32no—
160C2×C4⋊Dic3—32no—
161C2×C4⋊Dic3C2×D311yescharacteristic
162C2×C4⋊Dic3C2×D311yescharacteristic
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4C2×D312yes—
167C2×C4×Dic3—31no—
168C2×C4×Dic3—31no—
169C2×C4×Dic3—31no—
170C2×C4×Dic3—31no—
171C2×C4×Dic3—31no—
172C2×C4×Dic3—31no—
173C2×C4×Dic3—61no—
174C2×C4×Dic3—61no—
175C2×C4×Dic3—61no—
176C2×C4×Dic3C2×D312yes—
177#898—316no—
178#897—38no—
179#895—38no—
180#894—316no—
181#890—38no—
182#890—38no—
183#883—316no—
184#879—316no—
185C4×D12—316no—
186C4×D12C2×D318yescomplemented
187#872—316no—
188C42×D3—38no—
189C42×D3—38no—
190C42×D3—68no—
191C4×Dic6C2×D318yescomplemented
192C23×C32C2411yescharacteristic
193C22×C3⋊D3—22no—
194C22×C3⋊D3—22no—
195C22×C3⋊D3#4114yes—
196C22×C3⋊D3C2412yes—
197C22×C3×D3—24no—
198C22×C3×D3—24no—
199C22×C3×D3—24no—
200C22×C3×D3C2414yes—
201C2×C32×C4—22no—
202C2×C32×C4#4114yes—
203C2×C32×C4#4114yes—
204C2×C32×C4C2412yes—
205C2×C32×C4C2412yes—
206C2×C32×C4C2412yes—
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—22no—
210C2×C3⋊Dic3C2412yes—
211C2×C3⋊Dic3C2412yes—
212C2×C3⋊Dic3C2412yes—
213C4×C3⋊D3—28no—
214C4×C3⋊D3—28no—
215C4×C3⋊D3—28no—
216C2×C3×Dic3—24no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3C2414yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2414yes—
222C3×D12—28no—
223C3×C4×D3—216no—
224C3×Dic6—28no—
225#626—216no—
226#529—916no—
227C2×#126—92no—
228C2×#125—91no—
229C2×#124—91no—
230C2×#123—92no—
231C2×C22⋊Q8—91no—
232C2×#121—91no—
233C2×C4×Q8—31no—
234C2×C4×D4—31no—
235C2×C4×D4—92no—
236C2×#117—92no—
237C22×C42—91no—
238C24×C3—32no—
239C23×D3—31no—
240C23×D3—31no—
241C23×D3—61no—
242C23×D3C22×D312yes—
243C2×C3×Q8—34no—
244C2×C3×Q8—64no—
245C2×C3×D4—34no—
246C2×C3×D4—64no—
247C22×C3×C4—21no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4—32no—
253C22×C3×C4—38no—
254C22×C3×C4—68no—
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C2×#67—38no—
262C2×#67—68no—
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—31no—
266C22×Dic3—31no—
267C22×Dic3—31no—
268C22×Dic3—31no—
269C22×Dic3—61no—
270C22×Dic3—61no—
271C22×Dic3—61no—
272C22×Dic3C22×D312yes—
273C22×Dic3C22×D312yes—
274C22×Dic3C22×D312yes—
275C2×D12—24no—
276C2×D12—38no—
277C2×D12—68no—
278C2×D12C22×D314yes—
279C2×C4×D3—28no—
280C2×C4×D3—34no—
281C2×C4×D3—34no—
282C2×C4×D3—34no—
283C2×C4×D3—34no—
284C2×C4×D3—34no—
285C2×C4×D3—34no—
286C2×C4×D3—64no—
287C2×C4×D3—64no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—68no—
292C2×C4×D3—68no—
293C2×C4×D3—68no—
294C2×C4×D3—64no—
295C2×C4×D3—64no—
296C2×C4×D3—64no—
297C2×C4×D3—64no—
298C2×C4×D3C22×D318yes—
299C2×Dic6—24no—
300C2×Dic6C22×D314yes—
301C3×C4⋊C4—34no—
302C3×C4⋊C4—34no—
303C3×C4⋊C4—38no—
304C3×C22⋊C4—38no—
305C3×C42—24no—
306C3×C42—38no—
307C3×C42C22×D314yes—
308C3×C42C22×D314yes—
309#217—38no—
310#217—38no—
311#217—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4C22×D318yes—
318C4⋊Dic3—38no—
319C4⋊Dic3—38no—
320C4⋊Dic3—38no—
321C4⋊Dic3C22×D314yes—
322C4⋊Dic3C22×D314yes—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4—38no—
326Dic3⋊C4C22×D318yes—
327C4×Dic3—34no—
328C4×Dic3—34no—
329C4×Dic3—34no—
330C4×Dic3—34no—
331C4×Dic3—34no—
332C4×Dic3—34no—
333C4×Dic3—64no—
334C4×Dic3—64no—
335C4×Dic3—64no—
336C4×Dic3C22×D318yes—
337C22×C32C2×#4112yes—
338C22×C32C2×#4112yes—
339C22×C32C2×#4112yes—
340C22×C32C2511yescharacteristic
341C2×C3⋊D3—28no—
342C2×C3⋊D3—22no—
343C2×C3⋊D3—22no—
344C2×C3⋊D3C2×#4114yes—
345C2×C3×D3—24no—
346C2×C3×D3—24no—
347C2×C3×D3—24no—
348C2×C3×D3—48no—
349C32×C4—22no—
350C32×C4C2×#4114yes—
351C32×C4C2×#4114yes—
352C3⋊Dic3—22no—
353C3⋊Dic3—22no—
354C3⋊Dic3—22no—
355C3×Dic3—24no—
356C3×Dic3—24no—
357C3×Dic3—24no—
358C22×Q8—31no—
359C22×D4—31no—
360C22×D4—92no—
361C23×C4—32no—
362C23×C4—91no—
363C23×C4—91no—
364C23×C4—91no—
365#126—916no—
366#125—98no—
367#124—98no—
368#123—916no—
369C22⋊Q8—98no—
370#121—98no—
371C4×Q8—38no—
372C4×D4—38no—
373C4×D4—916no—
374#117—916no—
375C2×C4⋊C4—31no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4—92no—
379C2×C4⋊C4—92no—
380C2×C4⋊C4—92no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—92no—
383C2×C22⋊C4—92no—
384C2×C22⋊C4—92no—
385C2×C22⋊C4—92no—
386C2×C42—32no—
387C2×C42—91no—
388C2×C42—91no—
389C2×C42—91no—
390C2×C42—98no—
391C2×C42D3211yescharacteristic
392C23×C3—21no—
393C23×C3—34no—
394C23×C3—64no—
395C23×C3—64no—
396C23×C3—64no—
397C23×C3C23×D311yescharacteristic
398C23×C3C23×D311yescharacteristic
399C22×D3—24no—
400C22×D3—24no—
401C22×D3—24no—
402C22×D3—34no—
403C22×D3—34no—
404C22×D3—32no—
405C22×D3—32no—
406C22×D3—64no—
407C22×D3—62no—
408C22×D3—64no—
409C22×D3—64no—
410C22×D3—62no—
411C22×D3—62no—
412C22×D3—62no—
413C22×D3—62no—
414C22×D3C23×D314yes—
415C3×Q8—68no—
416C3×D4—68no—
417C2×C3×C4—24no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—34no—
426C2×C3×C4—34no—
427C2×C3×C4—34no—
428C2×C3×C4—64no—
429C2×C3×C4—64no—
430C2×C3×C4—64no—
431C2×C3×C4—616no—
432C2×C3×C4#23514yes—
433C2×C3×C4#23514yes—
434C2×C3×C4#23714yes—
435C2×C3×C4#23914yes—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439C2×C3×C4C23×D312yes—
440C2×C3×C4C23×D312yes—
441C2×C3×C4C23×D312yes—
442#67—616no—
443C2×Dic3—24no—
444C2×Dic3—24no—
445C2×Dic3—24no—
446C2×Dic3—32no—
447C2×Dic3—32no—
448C2×Dic3—32no—
449C2×Dic3—32no—
450C2×Dic3—32no—
451C2×Dic3—32no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—64no—
456C2×Dic3—64no—
457C2×Dic3—64no—
458C2×Dic3—62no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3C23×D314yes—
465C2×Dic3C23×D314yes—
466C2×Dic3C23×D314yes—
467D12—28no—
468D12—616no—
469C4×D3—216no—
470C4×D3—68no—
471C4×D3—68no—
472C4×D3—616no—
473C4×D3—616no—
474C4×D3—616no—
475C4×D3—68no—
476C4×D3—68no—
477C4×D3—68no—
478C4×D3—68no—
479Dic6—28no—
480C2×C32#52914yescomplemented
481C2×C32C22×#4111yescharacteristic
482C2×C32C22×#4111yescharacteristic
483C2×C32C22×#4111yescharacteristic
484C3⋊D3—24no—
485C3×D3—44no—
486C24—32no—
487C24—91no—
488C2×Q8—34no—
489C2×Q8—64no—
490C2×D4—34no—
491C2×D4—64no—
492C2×D4—98no—
493C2×D4—188no—
494C22×C4—32no—
495C22×C4—32no—
496C22×C4—32no—
497C22×C4—38no—
498C22×C4—68no—
499C22×C4—91no—
500C22×C4—91no—
501C22×C4—91no—
502C22×C4—94no—
503C22×C4—94no—
504C22×C4—94no—
505C22×C4—184no—
506C22×C4—184no—
507C22×C4—184no—
508C22×C4C2×D3211yescharacteristic
509C22×C4C2×D3211yescharacteristic
510C22×C4C2×D3211yescharacteristic
511C4⋊C4—34no—
512C4⋊C4—34no—
513C4⋊C4—38no—
514C4⋊C4—98no—
515C4⋊C4—98no—
516C4⋊C4—98no—
517C22⋊C4—38no—
518C22⋊C4—98no—
519C22⋊C4—98no—
520C22⋊C4—98no—
521C22⋊C4—98no—
522C42—38no—
523C42—94no—
524C42—94no—
525C42—94no—
526C42C2×D3214yes—
527C22×C3—22no—
528C22×C3—22no—
529C22×C3—22no—
530C22×C3—21no—
531C22×C3—64no—
532C22×C3—64no—
533C22×C3—64no—
534C22×C3—128no—
535C22×C3C2×#23512yes—
536C22×C3C2×#23512yes—
537C22×C3C2×#23712yes—
538C22×C3C2×#23912yes—
539C22×C3D3×#4112yes—
540C22×C3D3×#4112yes—
541C22×C3C24×D311yescharacteristic
542C22×C3C24×D311yescharacteristic
543C2×D3—24no—
544C2×D3—24no—
545C2×D3—24no—
546C2×D3—34no—
547C2×D3—34no—
548C2×D3—48no—
549C2×D3—64no—
550C2×D3—64no—
551C2×D3—64no—
552C2×D3—616no—
553C2×D3—62no—
554C2×D3—62no—
555C2×D3—62no—
556C2×D3—62no—
557C2×D3—68no—
558C2×D3—68no—
559C3×C4—24no—
560C3×C4—22no—
561C3×C4—22no—
562C3×C4—24no—
563C3×C4—24no—
564C3×C4—64no—
565C3×C4—64no—
566C3×C4—64no—
567C3×C4C2×#23514yes—
568C3×C4C2×#23514yes—
569C3×C4C2×#23714yes—
570C3×C4C2×#23914yes—
571Dic3—24no—
572Dic3—24no—
573Dic3—24no—
574Dic3—64no—
575Dic3—64no—
576Dic3—64no—
577Dic3—62no—
578Dic3—62no—
579Dic3—62no—
580Dic3—62no—
581Dic3—62no—
582Dic3—62no—
583C32C2×#52911yescharacteristic, complemented, Sylow
584C23—34no—
585C23—64no—
586C23—64no—
587C23—64no—
588C23—94no—
589C23—92no—
590C23—182no—
591C23—182no—
592C23C22×D3211yescharacteristic
593Q8—68no—
594D4—68no—
595D4—1816no—
596C2×C4—22no—
597C2×C4—34no—
598C2×C4—34no—
599C2×C4—34no—
600C2×C4—64no—
601C2×C4—64no—
602C2×C4—64no—
603C2×C4—616no—
604C2×C4—92no—
605C2×C4—92no—
606C2×C4—92no—
607C2×C4—188no—
608C2×C4—182no—
609C2×C4—182no—
610C2×C4—182no—
611C2×C4—188no—
612C2×C4—188no—
613C2×C4#379614yes—
614C2×C4#379814yes—
615C2×C4C22×D3212yes—
616C2×C4C22×D3212yes—
617C2×C4C22×D3212yes—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—24no—
622C2×C3—124no—
623C2×C3#555714yescomplemented
624C2×C3#558014yescomplemented
625C2×C3C22×#23511yescharacteristic
626C2×C3C22×#23511yescharacteristic
627C2×C3C22×#23711yescharacteristic
628C2×C3C22×#23911yescharacteristic
629C2×C3C2×D3×#4111yescharacteristic
630C2×C3C2×D3×#4111yescharacteristic
631D3—44no—
632D3—68no—
633D3—64no—
634D3—64no—
635C22—64no—
636C22—64no—
637C22—64no—
638C22—94no—
639C22—128no—
640C22—182no—
641C22—182no—
642C22—188no—
643C22C2×#379612yes—
644C22C2×#379812yes—
645C22#6430612yes—
646C22C23×D3211yescharacteristic
647C4—22no—
648C4—64no—
649C4—64no—
650C4—64no—
651C4—182no—
652C4—182no—
653C4—182no—
654C4C2×#379614yes—
655C4C2×#379814yes—
656C3—21no—
657C3C2×#555711yescharacteristic, complemented
658C3C2×#558011yescharacteristic, complemented
659C2—124no—
660C2—184no—
661C2#1059387514yesdirect product factor
662C2C22×#379611yescharacteristic
663C2C22×#379811yescharacteristic
664C2C2×#6430611yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC2×#63916C2
hypercenterC2×C42D32
hypocenterC32C2×#529
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C42×C3⋊D3C2semidirect
2. C2×C3×C4×D12C2semidirect
3. C2×C3×C4×Dic6C2semidirect
5. C2×C4×#626C2semidirect
6. C2×#63872C2semidirect
7. C2×#63871C2semidirect
8. C2×#63863C2semidirect
9. C2×#63862C2semidirect
10. C2×#63855C2semidirect
11. C2×#63853C2semidirect
12. #10593875C2direct (N × H)
26. C42×C3⋊D3C22semidirect
32. C3×C4×D12C22semidirect
33. C3×C4×Dic6C22semidirect
42. C4×#626C22semidirect
43. #63872C22semidirect
44. #63871C22semidirect
45. #63863C22semidirect
46. #63862C22semidirect
47. #63855C22semidirect
48. #63853C22semidirect
68. C2×C4×D12D3semidirect
73. C2×C4×Dic6D3semidirect
186. C4×D12C2×D3semidirect
191. C4×Dic6C2×D3semidirect
480. C2×C32#529semidirect
583. C32C2×#529semidirect
623. C2×C3#5557semidirect
624. C2×C3#5580semidirect
657. C3C2×#5557semidirect
658. C3C2×#5580semidirect
661. C2#10593875direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C42×C3⋊D32
C2×C3×C4×D122
C2×C3×C4×Dic62
C2×#639162
C2×C4×#6262
C2×#638722
C2×#638712
C2×#638632
C2×#638622
C2×#638552
C2×#638532
#105938752
C2×#55803
C2×#55573