Finite Group Databasebeta

← C4×#63923 #11802012

Subgroups — C4×#63923 #11802012

Order 1152.

2661 conjugacy classes of subgroups.

The subgroup lattice has 701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D32C211yesmaximal, characteristic, complemented
2C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C2×#63923C211yesmaximal, characteristic
4C2×C4×#626C212yesmaximal, complemented
5C3×C4×(C2×D3)⋊C4C212yesmaximal, complemented
6#10591399C211yesmaximal, characteristic, complemented
7#10591380C211yesmaximal, characteristic, complemented
8#10591379C212yesmaximal, complemented
9#10591375C211yesmaximal, characteristic, complemented
10#10591364C212yesmaximal, complemented
11C4×#3722C211yesmaximal, characteristic, complemented
12C4×#882—32nomaximal
13C23×D32C2211yescharacteristic
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic, complemented
17C22×C3×C4×D3C2212yes—
18C22×#626C2212yes—
19C22×#624C2211yescharacteristic
20C22×D3×Dic3C2212yes—
21C2×C4×D32—24no—
22C2×C4×D32—28no—
23C2×C32×C42C2211yescharacteristic, complemented
24C2×#3752C2211yescharacteristic
25C2×#3752C2211yescharacteristic, complemented
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
27C4×C4⋊(C3⋊D3)—24no—
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×C4×Dic3C2212yescomplemented
31C2×Dic3⋊Dic3C2212yescomplemented
32C2×#3722C2211yescharacteristic
33C2×#3722C2211yescharacteristic
34C2×#3722C2212yescomplemented
35C2×(C2×D3)⋊Dic3C2212yes—
36#63923C418yesdirect product factor
37C4×#626—28no—
38C3×C3⋊#95C2212yescomplemented
39C3×C3⋊#95C2212yescomplemented
40#63579C2212yescomplemented
41C23×C4×D3—32no—
42C2×C4×#67—32no—
43C2×#882—32no—
44C2×C4×D12—32no—
45C2×C4×D12—32no—
46C2×C4×D12—61no—
47C3×C4×C22⋊C4—32no—
48#4958—32no—
49#4955—32no—
50#4950—32no—
51C4×(C2×D3)⋊C4—32no—
52C4×(C2×D3)⋊C4D312yescomplemented
53#4668—32no—
54#4668—32no—
55#4665—32no—
56#4665—32no—
57C23×C3⋊D3C2311yescharacteristic
58C23×C3⋊D3C2311yescharacteristic
59C23×C3×D3C2312yes—
60C22×D32—22no—
61C22×D32—22no—
62C22×D32—24no—
63C22×D32—24no—
64C22×D32C2×C414yescomplemented
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C3⋊Dic3C2311yescharacteristic
69C22×C3⋊Dic3C2311yescharacteristic
70C2×C4⋊(C3⋊D3)—22no—
71C2×C4⋊(C3⋊D3)—22no—
72C2×C4⋊(C3⋊D3)C2×C414yescomplemented
73C2×C4×C3⋊D3—24no—
74C2×C4×C3⋊D3—22no—
75C2×C4×C3⋊D3—24no—
76C2×C4×C3⋊D3D414yescomplemented
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—24no—
82C2×C3×C4×D3D418yescomplemented
83C2×#626—24no—
84C2×#626—24no—
85C2×#626C2×C418yescomplemented
86C2×#624—22no—
87C2×#624—24no—
88C2×D3×Dic3—24no—
89C2×D3×Dic3—24no—
90C2×D3×Dic3—24no—
91C4×D32—232no—
92C32×C42—22no—
93#3752—22no—
94#3752—22no—
95C4⋊(C3⋊Dic3)—22no—
96C3×(C2×D3)⋊C4—24no—
97C3×(C2×D3)⋊C4C2×C418yescomplemented
98C3×C4×Dic3—24no—
99Dic3⋊Dic3—24no—
100#3722—22no—
101#3722—24no—
102#3722C2×C414yescomplemented
103(C2×D3)⋊Dic3—24no—
104C4×#120—91noSylow
105C24×D3—32no—
106C23×C3×C4—32no—
107C22×#67—32no—
108C23×Dic3—32no—
109C22×D12—32no—
110C22×D12—32no—
111C22×D12—61no—
112C22×C4×D3—32no—
113C22×C4×D3—32no—
114C22×C4×D3—32no—
115C22×C4×D3—32no—
116C22×C4×D3—61no—
117C22×C4×D3—61no—
118C22×C4×D3—68no—
119C22×C4×D3—68no—
120C22×C4×D3—68no—
121C22×C4×D3C2×D312yes—
122C2×C3×C22⋊C4—32no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C42—21no—
125C2×C3×C42—32no—
126C2×C3×C42C2×D312yescomplemented
127C2×#217—32no—
128C4×#67—68no—
129C2×(C2×D3)⋊C4—32no—
130C2×(C2×D3)⋊C4—32no—
131C2×(C2×D3)⋊C4—32no—
132C2×(C2×D3)⋊C4—32no—
133C2×(C2×D3)⋊C4—32no—
134C2×(C2×D3)⋊C4—32no—
135C2×(C2×D3)⋊C4—32no—
136C2×(C2×D3)⋊C4—61no—
137C2×(C2×D3)⋊C4—61no—
138C2×(C2×D3)⋊C4C2×D312yes—
139C2×(C2×D3)⋊C4C2×D312yes—
140C2×C4⋊Dic3—32no—
141C2×C4⋊Dic3—32no—
142C2×C4⋊Dic3—61no—
143C2×Dic3⋊C4—32no—
144C2×C4×Dic3C2×D312yescomplemented
145#882—316no—
146C4×D12—68no—
147C4×D12—68no—
148C4×D12—68no—
149C3×#95—32no—
150C3×#95—32no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95C2×D312yescomplemented
154C3⋊#95C2×D312yescomplemented
155C23×C32C2411yescharacteristic
156C22×C3⋊D3—21no—
157C22×C3⋊D3—21no—
158C22×C3⋊D3—22no—
159C22×C3⋊D3—22no—
160C22×C3⋊D3—22no—
161C22×C3⋊D3—22no—
162C22×C3⋊D3C22×C412yes—
163C22×C3⋊D3C22×C412yescomplemented
164C22×C3⋊D3C2×D412yes—
165C22×C3⋊D3#4112yes—
166C22×C3×D3—22no—
167C22×C3×D3—22no—
168C22×C3×D3—22no—
169C22×C3×D3—22no—
170C22×C3×D3C22×C414yes—
171C22×C3×D3C2×D414yes—
172C22×C3×D3#4114yes—
173C2×D32—216no—
174C2×D32—28no—
175C2×D32—28no—
176C2×D32—28no—
177C2×D32—216no—
178C2×C32×C4—21no—
179C2×C32×C4—21no—
180C2×C32×C4—21no—
181C2×C32×C4—22no—
182C2×C32×C4C22×C412yescomplemented
183C2×C32×C4C2×D414yes—
184C2×C32×C4C2×D412yes—
185C2×C3⋊Dic3—21no—
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3—22no—
188C2×C3⋊Dic3C2×D412yes—
189C4⋊(C3⋊D3)—28no—
190C4×C3⋊D3—28no—
191C4×C3⋊D3—44no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3C22×C414yescomplemented
200C2×C3×Dic3C2×D414yes—
201C3×C4×D3—216no—
202#626—216no—
203#624—28no—
204D3×Dic3—216no—
205C24×C4—91no—
206C2×#120—91no—
207C2×C4×D4—92no—
208C2×C4×D4—91no—
209#386—91no—
210#386—92no—
211#385—91no—
212#385—92no—
213#379—91no—
214C4×C22⋊C4—32no—
215C4×C22⋊C4—91no—
216C24×C3—32no—
217C23×D3—32no—
218C23×D3—32no—
219C23×D3—38no—
220C23×D3—61no—
221C23×D3—61no—
222C23×D3—64no—
223C23×D3—64no—
224C23×D3—64no—
225C23×D3—64no—
226C23×D3—64no—
227C23×D3—64no—
228C23×D3C22×D312yes—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—32no—
233C22×C3×C4—32no—
234C22×C3×C4—38no—
235C22×C3×C4—32no—
236C22×C3×C4—64no—
237C22×C3×C4—64no—
238C22×C3×C4C22×D312yes—
239C22×C3×C4C22×D312yes—
240C22×C3×C4C22×D312yes—
241C2×#67—38no—
242C2×#67—64no—
243C2×#67—64no—
244C22×Dic3—32no—
245C22×Dic3—32no—
246C22×Dic3—61no—
247C22×Dic3—61no—
248C22×Dic3—64no—
249C22×Dic3—64no—
250C22×Dic3—64no—
251C22×Dic3C22×D312yes—
252C22×Dic3C22×D312yes—
253C22×Dic3C22×D312yes—
254C2×D12—38no—
255C2×D12—38no—
256C2×D12—64no—
257C2×D12—64no—
258C2×D12—64no—
259C2×D12—64no—
260C2×D12—64no—
261C2×D12—64no—
262C2×D12—64no—
263C2×C4×D3—24no—
264C2×C4×D3—24no—
265C2×C4×D3—38no—
266C2×C4×D3—64no—
267C2×C4×D3—664no—
268C2×C4×D3—64no—
269C2×C4×D3—64no—
270C2×C4×D3—64no—
271C2×C4×D3—64no—
272C2×C4×D3—64no—
273C2×C4×D3—64no—
274C2×C4×D3—64no—
275C2×C4×D3—64no—
276C2×C4×D3—64no—
277C2×C4×D3—64no—
278C2×C4×D3—64no—
279C2×C4×D3—64no—
280C2×C4×D3—124no—
281C2×C4×D3—124no—
282C2×C4×D3D1218yescomplemented
283C3×C22⋊C4—38no—
284C3×C22⋊C4—64no—
285C3×C42—24no—
286C3×C42—24no—
287C3×C42—64no—
288#217—64no—
289(C2×D3)⋊C4—24no—
290(C2×D3)⋊C4—38no—
291(C2×D3)⋊C4—64no—
292(C2×D3)⋊C4—64no—
293(C2×D3)⋊C4—64no—
294(C2×D3)⋊C4—64no—
295(C2×D3)⋊C4—64no—
296(C2×D3)⋊C4—64no—
297(C2×D3)⋊C4—64no—
298(C2×D3)⋊C4—64no—
299(C2×D3)⋊C4C4×D318yescomplemented
300C4⋊Dic3—64no—
301C4⋊Dic3—64no—
302C4⋊Dic3—64no—
303Dic3⋊C4—64no—
304C4×Dic3—24no—
305C22×C32C23×C411yescharacteristic
306C22×C32C22×D412yes—
307C22×C32C22×D411yescharacteristic
308C22×C32C2×#4112yes—
309C22×C32C2×#4111yescharacteristic
310C2×C3⋊D3—22no—
311C2×C3⋊D3—24no—
312C2×C3⋊D3—22no—
313C2×C3⋊D3—22no—
314C2×C3⋊D3—24no—
315C2×C3⋊D3—24no—
316C2×C3⋊D3—41no—
317C2×C3⋊D3—42no—
318C2×C3⋊D3—41no—
319C2×C3⋊D3C4×D414yescomplemented
320C2×C3×D3—24no—
321C2×C3×D3—24no—
322C2×C3×D3—24no—
323C2×C3×D3—24no—
324C2×C3×D3—24no—
325C2×C3×D3—24no—
326C2×C3×D3C4×D418yescomplemented
327D32—232no—
328C32×C4—22no—
329C32×C4—41no—
330C32×C4#12014yescomplemented
331C3⋊Dic3—22no—
332C3⋊Dic3—41no—
333C3×Dic3—24no—
334C3×Dic3—24no—
335C3×Dic3—42no—
336C25—91no—
337C22×D4—92no—
338C22×D4—91no—
339C23×C4—32no—
340C23×C4—91no—
341C23×C4—92no—
342C23×C4—91no—
343C23×C4—91no—
344C23×C4—188no—
345C23×C4—184no—
346#120—98no—
347C4×D4—184no—
348C4×D4—188no—
349C2×C4⋊C4—92no—
350C2×C4⋊C4—91no—
351C2×C22⋊C4—32no—
352C2×C22⋊C4—32no—
353C2×C22⋊C4—91no—
354C2×C22⋊C4—92no—
355C2×C22⋊C4—91no—
356C2×C22⋊C4—92no—
357C2×C22⋊C4—91no—
358C2×C22⋊C4—91no—
359C2×C42—32no—
360C2×C42D3211yescharacteristic, complemented
361#95—32no—
362#95—32no—
363#95—92no—
364C23×C3—21no—
365C23×C3—34no—
366C23×C3—34no—
367C23×C3—34no—
368C23×C3—62no—
369C23×C3—62no—
370C23×C3—62no—
371C23×C3—62no—
372C23×C3C23×D312yes—
373C22×D3—22no—
374C22×D3—22no—
375C22×D3—22no—
376C22×D3—22no—
377C22×D3—34no—
378C22×D3—34no—
379C22×D3—34no—
380C22×D3—34no—
381C22×D3—62no—
382C22×D3—62no—
383C22×D3—62no—
384C22×D3—62no—
385C22×D3—616no—
386C22×D3—616no—
387C22×D3—616no—
388C22×D3—616no—
389C22×D3—616no—
390C22×D3—616no—
391C22×D3—62no—
392C22×D3—62no—
393C22×D3—62no—
394C22×D3—62no—
395C22×D3—616no—
396C22×D3—62no—
397C22×D3—62no—
398C22×D3—62no—
399C22×D3—62no—
400C22×D3—62no—
401C22×D3—62no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—122no—
405C22×D3—122no—
406C22×D3—122no—
407C22×D3—122no—
408C22×D3C2×C4×D314yes—
409C22×D3C2×D1214yes—
410C22×D3#23514yes—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—24no—
421C2×C3×C4—22no—
422C2×C3×C4—34no—
423C2×C3×C4—34no—
424C2×C3×C4—42no—
425C2×C3×C4—62no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—62no—
429C2×C3×C4—616no—
430C2×C3×C4—62no—
431C2×C3×C4—62no—
432C2×C3×C4—62no—
433C2×C3×C4C2×C4×D314yescomplemented
434C2×C3×C4C2×D1214yes—
435C2×C3×C4D3×D414yes—
436C2×C3×C4D3×D414yes—
437#67—616no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—22no—
444C2×Dic3—22no—
445C2×Dic3—34no—
446C2×Dic3—62no—
447C2×Dic3—616no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—122no—
455C2×Dic3—122no—
456C2×Dic3C2×C4×D314yescomplemented
457C2×Dic3C2×D1214yes—
458D12—616no—
459D12—616no—
460D12—616no—
461C4×D3—216no—
462C4×D3—616no—
463C4×D3—616no—
464C4×D3—616no—
465C4×D3—128no—
466C4×D3—128no—
467C4×D3—128no—
468C2×C32C2×C4×D412yes—
469C2×C32C2×C4×D411yescharacteristic
470C2×C32C2×#12011yescharacteristic
471C2×C32#52512yes—
472C2×C32#52511yescharacteristic
473C3⋊D3—24no—
474C3⋊D3—42no—
475C3×D3—28no—
476C24—32no—
477C24—94no—
478C24—91no—
479C24—91no—
480C24—184no—
481C24—184no—
482C24—182no—
483C24—182no—
484C2×D4—98no—
485C2×D4—94no—
486C2×D4—182no—
487C2×D4—182no—
488C2×D4—184no—
489C2×D4—184no—
490C22×C4—32no—
491C22×C4—32no—
492C22×C4—38no—
493C22×C4—32no—
494C22×C4—64no—
495C22×C4—64no—
496C22×C4—91no—
497C22×C4—94no—
498C22×C4—91no—
499C22×C4—184no—
500C22×C4—184no—
501C22×C4—182no—
502C22×C4—1832no—
503C22×C4—184no—
504C22×C4—184no—
505C22×C4—184no—
506C22×C4—184no—
507C22×C4—182no—
508C22×C4C2×D3211yescharacteristic
509C22×C4C2×D3211yescharacteristic
510C22×C4C2×D3211yescharacteristic
511C4⋊C4—182no—
512C4⋊C4—184no—
513C22⋊C4—38no—
514C22⋊C4—64no—
515C22⋊C4—94no—
516C22⋊C4—182no—
517C22⋊C4—182no—
518C22⋊C4—184no—
519C22⋊C4—182no—
520C22⋊C4—184no—
521C42—22no—
522C42—64no—
523C22×C3—21no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—21no—
527C22×C3—21no—
528C22×C3—38no—
529C22×C3—64no—
530C22×C3—64no—
531C22×C3—64no—
532C22×C3—64no—
533C22×C3—64no—
534C22×C3—64no—
535C22×C3C22×C4×D312yes—
536C22×C3C22×D1212yes—
537C22×C3C2×#23512yes—
538C22×C3C2×D3×D412yes—
539C22×C3C2×D3×D412yes—
540C22×C3D3×#4112yes—
541C22×C3D3×#4112yes—
542C2×D3—24no—
543C2×D3—24no—
544C2×D3—24no—
545C2×D3—24no—
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—38no—
549C2×D3—64no—
550C2×D3—664no—
551C2×D3—64no—
552C2×D3—64no—
553C2×D3—64no—
554C2×D3—64no—
555C2×D3—64no—
556C2×D3—64no—
557C2×D3—64no—
558C2×D3—64no—
559C2×D3—64no—
560C2×D3—64no—
561C2×D3—122no—
562C2×D3—122no—
563C2×D3—124no—
564C2×D3—124no—
565C2×D3—124no—
566C2×D3—122no—
567C2×D3—122no—
568C2×D3—124no—
569C2×D3—122no—
570C2×D3—122no—
571C2×D3—122no—
572C2×D3—122no—
573C2×D3C4×D1218yescomplemented
574C3×C4—24no—
575C3×C4—24no—
576C3×C4—24no—
577C3×C4—42no—
578C3×C4—42no—
579C3×C4—64no—
580C3×C4—64no—
581C3×C4—122no—
582C3×C4#88218yescomplemented
583Dic3—24no—
584Dic3—24no—
585Dic3—42no—
586Dic3—64no—
587Dic3—122no—
588Dic3—122no—
589Dic3—122no—
590C32C4×#12011yescharacteristic, complemented, Sylow
591C23—34no—
592C23—34no—
593C23—34no—
594C23—62no—
595C23—62no—
596C23—62no—
597C23—62no—
598C23—92no—
599C23—92no—
600C23—92no—
601C23—92no—
602C23—1816no—
603C23—188no—
604C23—188no—
605C23—188no—
606C23—1816no—
607C23—182no—
608C23—182no—
609C23—182no—
610C23—182no—
611C23—181no—
612C23—181no—
613C23C22×D3211yescharacteristic
614D4—188no—
615D4—1816no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—34no—
621C2×C4—34no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—616no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—92no—
631C2×C4—188no—
632C2×C4—1816no—
633C2×C4—182no—
634C2×C4—188no—
635C2×C4—182no—
636C2×C4—181no—
637C2×C4—364no—
638C2×C4C4×D3212yescomplemented
639C2×C4D3×D1214yes—
640C2×C4#381112yes—
641C2×C3—21no—
642C2×C3—22no—
643C2×C3—22no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—68no—
647C2×C3C2×C4×D1212yes—
648C2×C3C2×#88212yes—
649C2×C3#552412yes—
650C2×C3C4×D3×D412yes—
651C2×C3C4×D3×D412yes—
652C2×C3#554712yes—
653C2×C3#554712yes—
654D3—28no—
655D3—68no—
656D3—124no—
657D3—124no—
658D3—124no—
659C22—38no—
660C22—64no—
661C22—64no—
662C22—64no—
663C22—64no—
664C22—64no—
665C22—64no—
666C22—94no—
667C22—1832no—
668C22—182no—
669C22—184no—
670C22—184no—
671C22—182no—
672C22—184no—
673C22—182no—
674C22—361no—
675C22—362no—
676C22—361no—
677C22C2×C4×D3211yescharacteristic
678C22C2×D3×D1212yes—
679C22D3×#23512yes—
680C22#6430611yescharacteristic
681C22C2×#381111yescharacteristic
682C4—22no—
683C4—41no—
684C4—64no—
685C4—64no—
686C4—122no—
687C4—182no—
688C4—361no—
689C4#6392314yesdirect product factor
690C3—21no—
691C3C4×#88212yescomplemented
692C2—68no—
693C2—184no—
694C2—362no—
695C2C4×D3×D1212yes—
696C2#1059399712yes—
697C2C4×#381111yescharacteristic
698C2C2×#6392311yescharacteristic
699C2#1059507611yescharacteristic
subgroupG/H
centerC22×C4C2×D32
commutatorC22×C32C23×C4
FrattiniC23C22×D32
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC2×#63923C2
hypercenterC2×C42D32
hypocenterC32C4×#120
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C22×C4×D32C2semidirect
2. C2×C4×C4⋊(C3⋊D3)C2semidirect
4. C2×C4×#626C2semidirect
5. C3×C4×(C2×D3)⋊C4C2semidirect
6. #10591399C2semidirect
7. #10591380C2semidirect
8. #10591379C2semidirect
9. #10591375C2semidirect
10. #10591364C2semidirect
11. C4×#3722C2semidirect
16. C22×C4×C3⋊D3C22semidirect
23. C2×C32×C42C22semidirect
25. C2×#3752C22semidirect
26. C2×C4⋊(C3⋊Dic3)C22semidirect
30. C2×C3×C4×Dic3C22semidirect
31. C2×Dic3⋊Dic3C22semidirect
34. C2×#3722C22semidirect
36. #63923C4direct (N × H)
38. C3×C3⋊#95C22semidirect
39. C3×C3⋊#95C22semidirect
40. #63579C22semidirect
52. C4×(C2×D3)⋊C4D3semidirect
64. C22×D32C2×C4semidirect
72. C2×C4⋊(C3⋊D3)C2×C4semidirect
76. C2×C4×C3⋊D3D4semidirect
82. C2×C3×C4×D3D4semidirect
85. C2×#626C2×C4semidirect
97. C3×(C2×D3)⋊C4C2×C4semidirect
102. #3722C2×C4semidirect
126. C2×C3×C42C2×D3semidirect
144. C2×C4×Dic3C2×D3semidirect
153. C3⋊#95C2×D3semidirect
154. C3⋊#95C2×D3semidirect
163. C22×C3⋊D3C22×C4semidirect
182. C2×C32×C4C22×C4semidirect
199. C2×C3×Dic3C22×C4semidirect
282. C2×C4×D3D12semidirect
299. (C2×D3)⋊C4C4×D3semidirect
319. C2×C3⋊D3C4×D4semidirect
326. C2×C3×D3C4×D4semidirect
330. C32×C4#120semidirect
360. C2×C42D32semidirect
433. C2×C3×C4C2×C4×D3semidirect
456. C2×Dic3C2×C4×D3semidirect
573. C2×D3C4×D12semidirect
582. C3×C4#882semidirect
590. C32C4×#120semidirect
638. C2×C4C4×D32semidirect
689. C4#63923direct (N × H)
691. C3C4×#882semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D322
C2×C4×C4⋊(C3⋊D3)2
C2×#639232
C2×C4×#6262
C3×C4×(C2×D3)⋊C42
#105913992
#105913802
#105913792
#105913752
#105913642
C4×#37222
C4×#8823