Finite Group Databasebeta

← #11809000

Subgroups — #11809000

Order 1152.

3289 conjugacy classes of subgroups.

The subgroup lattice has 1491 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×#67C211yesmaximal, characteristic, complemented
2C22×D3×D12C211yesmaximal, characteristic, complemented
3C2×C3×#882C211yesmaximal, characteristic, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63977C211yesmaximal, characteristic, complemented
6C2×#63922C211yesmaximal, characteristic, complemented
7#10592659C211yesmaximal, characteristic, complemented
8C3×#4956C211yesmaximal, characteristic, complemented
9#10591724C211yesmaximal, characteristic, complemented
10#10591399C211yesmaximal, characteristic, complemented
11#10591395C211yesmaximal, characteristic, complemented
12#10591391C211yesmaximal, characteristic, complemented
13#10591381C211yesmaximal, characteristic, complemented
14#10591376C211yesmaximal, characteristic, complemented
15#10591364C211yesmaximal, characteristic, complemented
16#82604—31nomaximal
17#74884—31nomaximal
18C24×C3×D3C2211yescharacteristic, complemented
19C23×D32C2211yescharacteristic
20C23×D32C2211yescharacteristic, complemented
21C22×#638C2211yescharacteristic, complemented
22C22×#638C2211yescharacteristic, complemented
23C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
24C22×C3×#67C2211yescharacteristic
25C22×C3×#67C2211yescharacteristic, complemented
26C22×C3×D12C2211yescharacteristic
27C22×C3×D12C2211yescharacteristic, complemented
28C22×C3×C4×D3C2211yescharacteristic, complemented
29C2×D3×#67—24no—
30C2×D3×#67—24no—
31C2×D3×#67—24no—
32C22×#626C2211yescharacteristic
33C22×#626C2211yescharacteristic, complemented
34C22×#626C2211yescharacteristic, complemented
35C22×#626C2211yescharacteristic, complemented
36C22×#625C2211yescharacteristic
37C22×D3×Dic3C2211yescharacteristic, complemented
38C2×D3×D12—24no—
39C2×D3×D12—24no—
40C2×D3×D12—24no—
41C2×C32×C22⋊C4C2211yescharacteristic, complemented
42C2×#3752C2211yescharacteristic, complemented
43C2×#3752C2211yescharacteristic, complemented
44C2×C3×#217C2211yescharacteristic, complemented
45C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
46C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
48C3×#882—24no—
49#63983—24no—
50#63977—24no—
51C2×#3722C2211yescharacteristic, complemented
52C2×#3722C2211yescharacteristic, complemented
53C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58#63922—24no—
59#63658C2211yescharacteristic, complemented
60C3×C3⋊#95C2211yescharacteristic, complemented
61C3×C3⋊#95C2211yescharacteristic, complemented
62#63579C2211yescharacteristic, complemented
63C23×#67—31no—
64C22×D3×D4—31no—
65C22×D3×D4—31no—
66C23×D12—31no—
67C2×C3×#120—31no—
68C2×#953—31no—
69C2×#937—31no—
70C2×#937—31no—
71C2×#937—31no—
72C2×#882—31no—
73C2×#882—31no—
74C2×#882D311yescharacteristic, complemented
75C3×#386—31no—
76#5223—31no—
77#5223—31no—
78#5220—31no—
79#5213—31no—
80#4960—31no—
81#4960—31no—
82#4960—31no—
83#4960—31no—
84#4960—61no—
85#4958—31no—
86#4956—31no—
87#4956D311yescharacteristic, complemented
88#4955—31no—
89#4955—31no—
90#4671—31no—
91#4671—31no—
92#4665—31no—
93#4665—31no—
94C24×C32C2311yescharacteristic
95C23×C3⋊D3C2311yescharacteristic
96C23×C3⋊D3C2311yescharacteristic
97C23×C3×D3—22no—
98C23×C3×D3—22no—
99C23×C3×D3—22no—
100C23×C3×D3—22no—
101C23×C3×D3—22no—
102C23×C3×D3—41no—
103C23×C3×D3—41no—
104C23×C3×D3C2311yescharacteristic
105C23×C3×D3C2311yescharacteristic
106C23×C3×D3C2311yescharacteristic
107C23×C3×D3C2311yescharacteristic
108C22×D32—22no—
109C22×D32—22no—
110C22×D32—22no—
111C22×D32—22no—
112C22×D32—22no—
113C22×D32—22no—
114C22×D32—22no—
115C22×D32—22no—
116C22×D32—22no—
117C22×D32—41no—
118C22×D32—41no—
119C22×D32—41no—
120C22×D32—41no—
121C22×D32D414yescomplemented
122C22×C32×C4C2311yescharacteristic
123C22×C32×C4C2311yescharacteristic
124C2×#638—22no—
125C2×#638—22no—
126C2×#638—22no—
127C2×#638—22no—
128C2×#638—22no—
129C2×#638—41no—
130C22×C3⋊Dic3C2311yescharacteristic
131C22×C3⋊Dic3C2311yescharacteristic
132C2×C4⋊(C3⋊D3)—22no—
133C2×C4⋊(C3⋊D3)—22no—
134C2×C4⋊(C3⋊D3)—22no—
135C2×C3×#67—22no—
136C2×C3×#67—22no—
137C2×C3×#67—22no—
138C2×C3×#67—22no—
139C2×C3×#67—41no—
140C2×C3×#67D414yescomplemented
141C22×C3×Dic3C2311yescharacteristic
142C22×C3×Dic3C2311yescharacteristic
143C22×C3×Dic3C2311yescharacteristic
144C22×C3×Dic3C2311yescharacteristic
145C2×C3×D12—22no—
146C2×C3×D12—22no—
147C2×C3×D12—22no—
148C2×C3×D12—22no—
149C2×C3×D12—41no—
150C2×C3×D12D414yescomplemented
151C2×C3×C4×D3—22no—
152C2×C3×C4×D3—22no—
153C2×C3×C4×D3—22no—
154D3×#67—232no—
155C2×#626—22no—
156C2×#626—22no—
157C2×#626—22no—
158C2×#626—22no—
159C2×#626—22no—
160C2×#626—22no—
161C2×#626—22no—
162C2×#626—22no—
163C2×#626—22no—
164C2×#626—22no—
165C2×#626—41no—
166C2×#626D414yescomplemented
167C2×#625—22no—
168C2×#625—22no—
169C2×#625D414yescomplemented
170C2×D3×Dic3—22no—
171C2×D3×Dic3—22no—
172C2×D3×Dic3—22no—
173D3×D12—232no—
174C32×C22⋊C4—22no—
175#3752—22no—
176#3752—41no—
177C3×#217—22no—
178C3×(C2×D3)⋊C4—22no—
179C3×(C2×D3)⋊C4—22no—
180C3×(C2×D3)⋊C4—22no—
181#3722—22no—
182#3722—41no—
183(C2×D3)⋊Dic3—22no—
184(C2×D3)⋊Dic3—22no—
185(C2×D3)⋊Dic3—22no—
186(C2×D3)⋊Dic3—22no—
187(C2×D3)⋊Dic3—22no—
188#2403—91noSylow
189C25×C3—31no—
190C24×D3—31no—
191C24×D3—31no—
192C24×D3—31no—
193C24×D3—31no—
194C24×D3C2×D311yescharacteristic, complemented
195C22×C3×D4—31no—
196C22×C3×D4—31no—
197C22×C3×D4—31no—
198C22×C3×D4—31no—
199C23×C3×C4—31no—
200C22×#67—31no—
201C22×#67—31no—
202C22×#67—31no—
203C22×#67—31no—
204C22×#67—31no—
205C22×#67—31no—
206C22×#67—31no—
207C22×#67—31no—
208C22×#67—31no—
209C22×#67—31no—
210C22×#67—61no—
211C22×#67—61no—
212C22×#67—64no—
213C22×#67—64no—
214C22×#67—64no—
215C22×#67C2×D311yescharacteristic
216C22×#67C2×D311yescharacteristic, complemented
217C23×Dic3—31no—
218C2×D3×D4—64no—
219C2×D3×D4—64no—
220C2×D3×D4—64no—
221C2×D3×D4—64no—
222C2×D3×D4—64no—
223C2×D3×D4—64no—
224C22×D12—31no—
225C22×D12—31no—
226C22×D12—31no—
227C22×D12—31no—
228C22×D12—31no—
229C22×D12—31no—
230C22×D12—61no—
231C22×D12—64no—
232C22×D12—64no—
233C22×D12—64no—
234C22×D12C2×D311yescharacteristic
235C22×D12C2×D311yescharacteristic, complemented
236C22×C4×D3—31no—
237C22×C4×D3C2×D311yescharacteristic, complemented
238C3×#120—64no—
239C2×C3×C22⋊C4—21no—
240C2×C3×C22⋊C4—31no—
241C2×C3×C22⋊C4—31no—
242C2×C3×C22⋊C4—31no—
243C2×C3×C22⋊C4—31no—
244C2×C3×C22⋊C4C2×D311yescharacteristic, complemented
245C2×C3×C22⋊C4C2×D311yescharacteristic, complemented
246#953—64no—
247C2×#217—31no—
248C2×#217—31no—
249C2×#217—31no—
250C2×#217—31no—
251C2×#217—31no—
252C2×#217C2×D311yescharacteristic, complemented
253#937—64no—
254#937—64no—
255#937—64no—
256C2×(C2×D3)⋊C4—31no—
257C2×(C2×D3)⋊C4—31no—
258C2×(C2×D3)⋊C4—31no—
259C2×(C2×D3)⋊C4—31no—
260C2×(C2×D3)⋊C4—31no—
261C2×(C2×D3)⋊C4—31no—
262C2×(C2×D3)⋊C4—31no—
263C2×(C2×D3)⋊C4—31no—
264C2×(C2×D3)⋊C4—31no—
265C2×(C2×D3)⋊C4—31no—
266C2×(C2×D3)⋊C4—31no—
267C2×(C2×D3)⋊C4—31no—
268C2×(C2×D3)⋊C4—31no—
269C2×(C2×D3)⋊C4—61no—
270C2×(C2×D3)⋊C4—61no—
271C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
272C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
273C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
274#882—24no—
275#882—64no—
276#882—64no—
277C3×#95—31no—
278C3×#95—31no—
279C3⋊#95—31no—
280C3⋊#95—31no—
281C3⋊#95—31no—
282C3⋊#95—31no—
283C3⋊#95—61no—
284C3⋊#95C2×D311yescharacteristic, complemented
285C3⋊#95C2×D311yescharacteristic, complemented
286C23×C32—21no—
287C23×C32—21no—
288C23×C32—21no—
289C23×C32—21no—
290C23×C32—21no—
291C23×C32—21no—
292C23×C32C2×D412yescomplemented
293C23×C32C2411yescharacteristic
294C22×C3⋊D3—21no—
295C22×C3⋊D3—21no—
296C22×C3⋊D3—21no—
297C22×C3⋊D3—21no—
298C22×C3⋊D3—21no—
299C22×C3⋊D3—21no—
300C22×C3⋊D3—21no—
301C22×C3⋊D3—21no—
302C22×C3⋊D3—21no—
303C22×C3⋊D3—21no—
304C22×C3⋊D3—21no—
305C22×C3⋊D3—21no—
306C22×C3⋊D3C2×D412yes—
307C22×C3⋊D3C2×D412yescomplemented
308C22×C3×D3—21no—
309C22×C3×D3—21no—
310C22×C3×D3—21no—
311C22×C3×D3—21no—
312C22×C3×D3—21no—
313C22×C3×D3—21no—
314C22×C3×D3—21no—
315C22×C3×D3—21no—
316C22×C3×D3—28no—
317C22×C3×D3—21no—
318C22×C3×D3—21no—
319C22×C3×D3—21no—
320C22×C3×D3—21no—
321C22×C3×D3—21no—
322C22×C3×D3—21no—
323C22×C3×D3—21no—
324C22×C3×D3—21no—
325C22×C3×D3—21no—
326C22×C3×D3—21no—
327C22×C3×D3—21no—
328C22×C3×D3—21no—
329C22×C3×D3—44no—
330C22×C3×D3—44no—
331C22×C3×D3—44no—
332C22×C3×D3—44no—
333C22×C3×D3—44no—
334C22×C3×D3—44no—
335C22×C3×D3C2×D412yes—
336C22×C3×D3C2×D412yes—
337C22×C3×D3C2×D412yes—
338C22×C3×D3C2×D412yes—
339C22×C3×D3C2×D412yes—
340C22×C3×D3C2×D412yes—
341C22×C3×D3C2×D412yescomplemented
342C22×C3×D3C2×D412yescomplemented
343C2×D32—28no—
344C2×D32—28no—
345C2×D32—28no—
346C2×D32—44no—
347C2×D32—44no—
348C2×D32—44no—
349C2×D32—44no—
350C2×D32—44no—
351C2×D32—44no—
352C2×D32—44no—
353C2×D32—44no—
354C2×D32—44no—
355C2×D32—44no—
356C2×D32—44no—
357C2×C32×C4—21no—
358C2×C32×C4—21no—
359C2×C32×C4—21no—
360C2×C32×C4—21no—
361C2×C32×C4—21no—
362C2×C32×C4C2×D412yescomplemented
363#638—28no—
364#638—44no—
365C2×C3⋊Dic3—21no—
366C2×C3⋊Dic3—21no—
367C2×C3⋊Dic3—21no—
368C2×C3⋊Dic3—21no—
369C2×C3⋊Dic3—21no—
370C2×C3⋊Dic3C2×D412yescomplemented
371C4⋊(C3⋊D3)—28no—
372C3×#67—28no—
373C3×#67—44no—
374C2×C3×Dic3—21no—
375C2×C3×Dic3—21no—
376C2×C3×Dic3—21no—
377C2×C3×Dic3—21no—
378C2×C3×Dic3—21no—
379C2×C3×Dic3—21no—
380C2×C3×Dic3—21no—
381C2×C3×Dic3—21no—
382C2×C3×Dic3—21no—
383C2×C3×Dic3—21no—
384C2×C3×Dic3C2×D412yescomplemented
385C2×C3×Dic3C2×D412yescomplemented
386C3×D12—28no—
387C3×D12—44no—
388C3×C4×D3—28no—
389#626—28no—
390#626—28no—
391#626—28no—
392#626—44no—
393#625—28no—
394D3×Dic3—28no—
395C23×D4—91no—
396C23×D4—91no—
397C2×#120—31no—
398C2×#120—91no—
399C2×#120—91no—
400C2×#120—91no—
401#392—91no—
402#392—91no—
403#392—91no—
404#392—91no—
405#386—31no—
406#386—91no—
407#386—91no—
408#386—91no—
409#379—91no—
410C24×C3—21no—
411C24×C3—31no—
412C24×C3—31no—
413C24×C3—31no—
414C24×C3—31no—
415C24×C3—62no—
416C24×C3—62no—
417C24×C3—62no—
418C24×C3—62no—
419C24×C3—62no—
420C24×C3—121no—
421C24×C3—121no—
422C24×C3C22×D311yescharacteristic
423C24×C3C22×D311yescharacteristic
424C23×D3—22no—
425C23×D3—22no—
426C23×D3—22no—
427C23×D3—22no—
428C23×D3—22no—
429C23×D3—31no—
430C23×D3—31no—
431C23×D3—31no—
432C23×D3—31no—
433C23×D3—34no—
434C23×D3—34no—
435C23×D3—41no—
436C23×D3—41no—
437C23×D3—61no—
438C23×D3—61no—
439C23×D3—62no—
440C23×D3—62no—
441C23×D3—62no—
442C23×D3—62no—
443C23×D3—62no—
444C23×D3—62no—
445C23×D3—62no—
446C23×D3—62no—
447C23×D3—62no—
448C23×D3—62no—
449C23×D3—62no—
450C23×D3—62no—
451C23×D3—62no—
452C23×D3—62no—
453C23×D3—62no—
454C23×D3—62no—
455C23×D3—62no—
456C23×D3—62no—
457C23×D3—121no—
458C23×D3—121no—
459C23×D3—121no—
460C23×D3—121no—
461C23×D3—121no—
462C23×D3—121no—
463C23×D3—121no—
464C23×D3—121no—
465C23×D3C22×D311yescharacteristic
466C23×D3C22×D311yescharacteristic
467C23×D3C22×D311yescharacteristic
468C23×D3C22×D311yescharacteristic
469C2×C3×D4—34no—
470C2×C3×D4—34no—
471C2×C3×D4—62no—
472C2×C3×D4—62no—
473C2×C3×D4—62no—
474C2×C3×D4—62no—
475C2×C3×D4—62no—
476C2×C3×D4—62no—
477C2×C3×D4—62no—
478C2×C3×D4—62no—
479C2×C3×D4—121no—
480C2×C3×D4—121no—
481C22×C3×C4—21no—
482C22×C3×C4—21no—
483C22×C3×C4—31no—
484C22×C3×C4—31no—
485C22×C3×C4—31no—
486C22×C3×C4—31no—
487C22×C3×C4—62no—
488C22×C3×C4—62no—
489C22×C3×C4—62no—
490C22×C3×C4C22×D311yescharacteristic
491C22×C3×C4C22×D311yescharacteristic
492C22×C3×C4C22×D311yescharacteristic
493C22×C3×C4C22×D311yescharacteristic
494C2×#67—22no—
495C2×#67—22no—
496C2×#67—22no—
497C2×#67—22no—
498C2×#67—34no—
499C2×#67—34no—
500C2×#67—34no—
501C2×#67—41no—
502C2×#67—62no—
503C2×#67—62no—
504C2×#67—62no—
505C2×#67—62no—
506C2×#67—62no—
507C2×#67—62no—
508C2×#67—62no—
509C2×#67—62no—
510C2×#67—62no—
511C2×#67—62no—
512C2×#67—632no—
513C2×#67—62no—
514C2×#67—62no—
515C2×#67—62no—
516C2×#67—62no—
517C2×#67—62no—
518C2×#67—62no—
519C2×#67—62no—
520C2×#67—62no—
521C2×#67—62no—
522C2×#67—62no—
523C2×#67—62no—
524C2×#67—62no—
525C2×#67—62no—
526C2×#67—62no—
527C2×#67—122no—
528C2×#67—122no—
529C2×#67—122no—
530C2×#67—122no—
531C2×#67—122no—
532C2×#67—121no—
533C2×#67—121no—
534C2×#67—121no—
535C2×#67—122no—
536C2×#67D1214yescomplemented
537C22×Dic3—31no—
538C22×Dic3—31no—
539C22×Dic3—31no—
540C22×Dic3—31no—
541C22×Dic3—61no—
542C22×Dic3—61no—
543C22×Dic3—62no—
544C22×Dic3—62no—
545C22×Dic3—62no—
546C22×Dic3C22×D311yescharacteristic
547C22×Dic3C22×D311yescharacteristic
548C22×Dic3C22×D311yescharacteristic
549C22×Dic3C22×D311yescharacteristic
550D3×D4—632no—
551D3×D4—632no—
552C2×D12—22no—
553C2×D12—22no—
554C2×D12—22no—
555C2×D12—22no—
556C2×D12—34no—
557C2×D12—41no—
558C2×D12—632no—
559C2×D12—62no—
560C2×D12—62no—
561C2×D12—62no—
562C2×D12—62no—
563C2×D12—62no—
564C2×D12—62no—
565C2×D12—62no—
566C2×D12—62no—
567C2×D12—62no—
568C2×D12—62no—
569C2×D12—62no—
570C2×D12—62no—
571C2×D12—62no—
572C2×D12—62no—
573C2×D12—62no—
574C2×D12—62no—
575C2×D12—122no—
576C2×D12—122no—
577C2×D12—122no—
578C2×D12—121no—
579C2×D12#6714yescomplemented
580C2×C4×D3—22no—
581C2×C4×D3—22no—
582C2×C4×D3—22no—
583C2×C4×D3—62no—
584C2×C4×D3—62no—
585C2×C4×D3—62no—
586C3×C22⋊C4—22no—
587C3×C22⋊C4—22no—
588C3×C22⋊C4—42no—
589C3×C22⋊C4—62no—
590C3×C22⋊C4—62no—
591C3×C22⋊C4—62no—
592C3×C22⋊C4—62no—
593#217—22no—
594#217—62no—
595#217—62no—
596#217—62no—
597#217—62no—
598#217—62no—
599(C2×D3)⋊C4—22no—
600(C2×D3)⋊C4—22no—
601(C2×D3)⋊C4—22no—
602(C2×D3)⋊C4—62no—
603(C2×D3)⋊C4—62no—
604(C2×D3)⋊C4—62no—
605(C2×D3)⋊C4—62no—
606(C2×D3)⋊C4—62no—
607(C2×D3)⋊C4—62no—
608(C2×D3)⋊C4—62no—
609(C2×D3)⋊C4—62no—
610(C2×D3)⋊C4—62no—
611(C2×D3)⋊C4—122no—
612(C2×D3)⋊C4—121no—
613(C2×D3)⋊C4—121no—
614(C2×D3)⋊C4—121no—
615(C2×D3)⋊C4—121no—
616(C2×D3)⋊C4—122no—
617C22×C32—22no—
618C22×C32—22no—
619C22×C32—22no—
620C22×C32—41no—
621C22×C32—41no—
622C22×C32—41no—
623C22×C32—41no—
624C22×C32C22×D411yescharacteristic
625C22×C32C22×D411yescharacteristic
626C22×C32C22×D411yescharacteristic
627C22×C32C22×D411yescharacteristic
628C22×C32C22×D411yescharacteristic
629C22×C32H(5,𝔽2)11yescharacteristic
630C22×C32H(5,𝔽2)11yescharacteristic
631C2×C3⋊D3—22no—
632C2×C3⋊D3—22no—
633C2×C3⋊D3—22no—
634C2×C3⋊D3—22no—
635C2×C3⋊D3—22no—
636C2×C3⋊D3—22no—
637C2×C3⋊D3—41no—
638C2×C3⋊D3—41no—
639C2×C3⋊D3—41no—
640C2×C3⋊D3—41no—
641C2×C3⋊D3—41no—
642C2×C3⋊D3—41no—
643C2×C3⋊D3—41no—
644C2×C3⋊D3—41no—
645C2×C3×D3—22no—
646C2×C3×D3—22no—
647C2×C3×D3—22no—
648C2×C3×D3—22no—
649C2×C3×D3—22no—
650C2×C3×D3—22no—
651C2×C3×D3—22no—
652C2×C3×D3—22no—
653C2×C3×D3—22no—
654C2×C3×D3—22no—
655C2×C3×D3—22no—
656C2×C3×D3—22no—
657C2×C3×D3—22no—
658C2×C3×D3—22no—
659C2×C3×D3—22no—
660C2×C3×D3—22no—
661C2×C3×D3—22no—
662C2×C3×D3—22no—
663C2×C3×D3—416no—
664C2×C3×D3—41no—
665C2×C3×D3—41no—
666C2×C3×D3—41no—
667C2×C3×D3—41no—
668C2×C3×D3—41no—
669C2×C3×D3—41no—
670C2×C3×D3—41no—
671C2×C3×D3—41no—
672C2×C3×D3#12014yescomplemented
673C2×C3×D3#12014yescomplemented
674D32—416no—
675D32—416no—
676C32×C4—22no—
677C32×C4—41no—
678C3⋊Dic3—22no—
679C3⋊Dic3—41no—
680C3×Dic3—22no—
681C3×Dic3—22no—
682C3×Dic3—41no—
683C3×Dic3—41no—
684C25—31no—
685C25—91no—
686C25—91no—
687C22×D4—31no—
688C22×D4—31no—
689C22×D4—31no—
690C22×D4—31no—
691C22×D4—91no—
692C22×D4—91no—
693C22×D4—91no—
694C22×D4—91no—
695C22×D4—91no—
696C22×D4—91no—
697C22×D4—91no—
698C22×D4—91no—
699C22×D4—184no—
700C22×D4—184no—
701C22×D4—184no—
702C22×D4—184no—
703C22×D4—184no—
704C22×D4—184no—
705C23×C4—31no—
706C23×C4—91no—
707#120—64no—
708#120—184no—
709#120—184no—
710#120—184no—
711C2×C22⋊C4—31no—
712C2×C22⋊C4—31no—
713C2×C22⋊C4—31no—
714C2×C22⋊C4—31no—
715C2×C22⋊C4—91no—
716C2×C22⋊C4—91no—
717C2×C22⋊C4—91no—
718C2×C22⋊C4—91no—
719C2×C22⋊C4—91no—
720C2×C22⋊C4—91no—
721C2×C22⋊C4—91no—
722C2×C22⋊C4—91no—
723C2×C22⋊C4—91no—
724C2×C22⋊C4D3211yescharacteristic, complemented
725#95—31no—
726#95—31no—
727#95—91no—
728#95—91no—
729C23×C3—21no—
730C23×C3—21no—
731C23×C3—21no—
732C23×C3—21no—
733C23×C3—21no—
734C23×C3—21no—
735C23×C3—21no—
736C23×C3—21no—
737C23×C3—21no—
738C23×C3—21no—
739C23×C3—21no—
740C23×C3—21no—
741C23×C3—21no—
742C23×C3—22no—
743C23×C3—32no—
744C23×C3—32no—
745C23×C3—32no—
746C23×C3—32no—
747C23×C3—32no—
748C23×C3—32no—
749C23×C3—32no—
750C23×C3—32no—
751C23×C3—41no—
752C23×C3—41no—
753C23×C3—41no—
754C23×C3—41no—
755C23×C3—41no—
756C23×C3—41no—
757C23×C3—68no—
758C23×C3—61no—
759C23×C3—61no—
760C23×C3—61no—
761C23×C3—61no—
762C23×C3—61no—
763C23×C3—61no—
764C23×C3—61no—
765C23×C3—61no—
766C23×C3—61no—
767C23×C3—61no—
768C23×C3—61no—
769C23×C3—61no—
770C23×C3—61no—
771C23×C3—61no—
772C23×C3—61no—
773C23×C3—61no—
774C23×C3—61no—
775C23×C3—61no—
776C23×C3—61no—
777C23×C3—61no—
778C23×C3—124no—
779C23×C3—124no—
780C23×C3—124no—
781C23×C3—124no—
782C23×C3—124no—
783C23×C3—124no—
784C23×C3C2×D1212yescomplemented
785C23×C3D3×D412yescomplemented
786C23×C3C23×D311yescharacteristic
787C23×C3C23×D311yescharacteristic
788C22×D3—21no—
789C22×D3—21no—
790C22×D3—21no—
791C22×D3—21no—
792C22×D3—21no—
793C22×D3—21no—
794C22×D3—21no—
795C22×D3—21no—
796C22×D3—28no—
797C22×D3—21no—
798C22×D3—21no—
799C22×D3—21no—
800C22×D3—21no—
801C22×D3—21no—
802C22×D3—21no—
803C22×D3—21no—
804C22×D3—21no—
805C22×D3—21no—
806C22×D3—21no—
807C22×D3—21no—
808C22×D3—21no—
809C22×D3—32no—
810C22×D3—32no—
811C22×D3—32no—
812C22×D3—32no—
813C22×D3—44no—
814C22×D3—44no—
815C22×D3—44no—
816C22×D3—44no—
817C22×D3—44no—
818C22×D3—44no—
819C22×D3—62no—
820C22×D3—62no—
821C22×D3—68no—
822C22×D3—68no—
823C22×D3—68no—
824C22×D3—68no—
825C22×D3—61no—
826C22×D3—61no—
827C22×D3—61no—
828C22×D3—61no—
829C22×D3—61no—
830C22×D3—61no—
831C22×D3—61no—
832C22×D3—61no—
833C22×D3—61no—
834C22×D3—61no—
835C22×D3—61no—
836C22×D3—61no—
837C22×D3—61no—
838C22×D3—61no—
839C22×D3—61no—
840C22×D3—61no—
841C22×D3—61no—
842C22×D3—61no—
843C22×D3—61no—
844C22×D3—61no—
845C22×D3—61no—
846C22×D3—61no—
847C22×D3—61no—
848C22×D3—61no—
849C22×D3—68no—
850C22×D3—68no—
851C22×D3—121no—
852C22×D3—121no—
853C22×D3—121no—
854C22×D3—121no—
855C22×D3—121no—
856C22×D3—121no—
857C22×D3—121no—
858C22×D3—121no—
859C22×D3—121no—
860C22×D3—121no—
861C22×D3—121no—
862C22×D3—121no—
863C22×D3—124no—
864C22×D3—124no—
865C22×D3—124no—
866C22×D3—124no—
867C22×D3—124no—
868C22×D3—124no—
869C22×D3—124no—
870C22×D3—124no—
871C22×D3—124no—
872C22×D3—124no—
873C22×D3—124no—
874C22×D3—124no—
875C22×D3—124no—
876C22×D3—124no—
877C22×D3—124no—
878C22×D3—124no—
879C22×D3—124no—
880C22×D3—124no—
881C22×D3—124no—
882C22×D3—124no—
883C22×D3—124no—
884C22×D3—124no—
885C22×D3C2×D1212yes—
886C22×D3D3×D412yes—
887C22×D3D3×D412yes—
888C22×D3D3×D412yes—
889C22×D3D3×D412yes—
890C22×D3D3×D412yescomplemented
891C22×D3C2×#6712yes—
892C22×D3C2×#6712yescomplemented
893C3×D4—68no—
894C3×D4—68no—
895C3×D4—124no—
896C3×D4—124no—
897C2×C3×C4—21no—
898C2×C3×C4—21no—
899C2×C3×C4—21no—
900C2×C3×C4—21no—
901C2×C3×C4—21no—
902C2×C3×C4—21no—
903C2×C3×C4—21no—
904C2×C3×C4—21no—
905C2×C3×C4—21no—
906C2×C3×C4—21no—
907C2×C3×C4—22no—
908C2×C3×C4—32no—
909C2×C3×C4—32no—
910C2×C3×C4—41no—
911C2×C3×C4—41no—
912C2×C3×C4—41no—
913C2×C3×C4—41no—
914C2×C3×C4—41no—
915C2×C3×C4—68no—
916C2×C3×C4—61no—
917C2×C3×C4—61no—
918C2×C3×C4—61no—
919C2×C3×C4—61no—
920C2×C3×C4—61no—
921C2×C3×C4—61no—
922C2×C3×C4—61no—
923C2×C3×C4—61no—
924C2×C3×C4—61no—
925C2×C3×C4—61no—
926C2×C3×C4D3×D412yescomplemented
927C2×C3×C4C2×#6712yescomplemented
928#67—28no—
929#67—44no—
930#67—68no—
931#67—68no—
932#67—68no—
933#67—68no—
934#67—68no—
935#67—68no—
936#67—68no—
937#67—128no—
938#67—124no—
939#67—124no—
940#67—124no—
941#67—128no—
942C2×Dic3—21no—
943C2×Dic3—21no—
944C2×Dic3—21no—
945C2×Dic3—21no—
946C2×Dic3—21no—
947C2×Dic3—21no—
948C2×Dic3—21no—
949C2×Dic3—21no—
950C2×Dic3—21no—
951C2×Dic3—21no—
952C2×Dic3—32no—
953C2×Dic3—32no—
954C2×Dic3—62no—
955C2×Dic3—68no—
956C2×Dic3—61no—
957C2×Dic3—61no—
958C2×Dic3—61no—
959C2×Dic3—61no—
960C2×Dic3—62no—
961C2×Dic3—61no—
962C2×Dic3—61no—
963C2×Dic3—61no—
964C2×Dic3—61no—
965C2×Dic3—61no—
966C2×Dic3—61no—
967C2×Dic3—121no—
968C2×Dic3—121no—
969C2×Dic3—121no—
970C2×Dic3—121no—
971C2×Dic3C2×D1212yescomplemented
972C2×Dic3D3×D412yescomplemented
973D12—28no—
974D12—44no—
975D12—68no—
976D12—68no—
977D12—68no—
978D12—68no—
979D12—68no—
980D12—128no—
981D12—124no—
982C4×D3—28no—
983C4×D3—68no—
984C2×C32—42no—
985C2×C32C2×#12011yescharacteristic
986C2×C32C2×#12011yescharacteristic
987C2×C32#53411yescharacteristic
988C2×C32D4211yescharacteristic
989C2×C32D4211yescharacteristic
990C2×C32D4211yescharacteristic
991C2×C32D4211yescharacteristic
992C3⋊D3—42no—
993C3⋊D3—42no—
994C3×D3—24no—
995C3×D3—24no—
996C3×D3—42no—
997C3×D3—42no—
998C24—31no—
999C24—31no—
1000C24—31no—
1001C24—31no—
1002C24—62no—
1003C24—62no—
1004C24—62no—
1005C24—62no—
1006C24—62no—
1007C24—94no—
1008C24—91no—
1009C24—91no—
1010C24—121no—
1011C24—121no—
1012C24—182no—
1013C24—182no—
1014C24—182no—
1015C24—182no—
1016C24—182no—
1017C24—182no—
1018C24—182no—
1019C24—182no—
1020C24—182no—
1021C24—361no—
1022C24—361no—
1023C24—361no—
1024C24—361no—
1025C24C2×D3211yescharacteristic
1026C2×D4—34no—
1027C2×D4—34no—
1028C2×D4—62no—
1029C2×D4—62no—
1030C2×D4—62no—
1031C2×D4—62no—
1032C2×D4—62no—
1033C2×D4—62no—
1034C2×D4—62no—
1035C2×D4—62no—
1036C2×D4—94no—
1037C2×D4—94no—
1038C2×D4—121no—
1039C2×D4—121no—
1040C2×D4—182no—
1041C2×D4—182no—
1042C2×D4—182no—
1043C2×D4—182no—
1044C2×D4—1832no—
1045C2×D4—182no—
1046C2×D4—182no—
1047C2×D4—182no—
1048C2×D4—182no—
1049C2×D4—182no—
1050C2×D4—182no—
1051C2×D4—182no—
1052C2×D4—182no—
1053C2×D4—182no—
1054C2×D4—1832no—
1055C2×D4—182no—
1056C2×D4—182no—
1057C2×D4—182no—
1058C2×D4—182no—
1059C2×D4—182no—
1060C2×D4—182no—
1061C2×D4—182no—
1062C2×D4—361no—
1063C2×D4—361no—
1064C22×C4—31no—
1065C22×C4—31no—
1066C22×C4—31no—
1067C22×C4—31no—
1068C22×C4—62no—
1069C22×C4—62no—
1070C22×C4—62no—
1071C22×C4—91no—
1072C22×C4—91no—
1073C22×C4—182no—
1074C22×C4—182no—
1075C22×C4—182no—
1076C22×C4C2×D3211yescharacteristic
1077C22×C4C2×D3211yescharacteristic
1078C22⋊C4—22no—
1079C22⋊C4—62no—
1080C22⋊C4—62no—
1081C22⋊C4—62no—
1082C22⋊C4—62no—
1083C22⋊C4—182no—
1084C22⋊C4—182no—
1085C22⋊C4—182no—
1086C22⋊C4—182no—
1087C22⋊C4—182no—
1088C22⋊C4—182no—
1089C22⋊C4—182no—
1090C22⋊C4—361no—
1091C22⋊C4—361no—
1092C22×C3—22no—
1093C22×C3—22no—
1094C22×C3—22no—
1095C22×C3—22no—
1096C22×C3—22no—
1097C22×C3—22no—
1098C22×C3—21no—
1099C22×C3—21no—
1100C22×C3—21no—
1101C22×C3—21no—
1102C22×C3—21no—
1103C22×C3—21no—
1104C22×C3—21no—
1105C22×C3—34no—
1106C22×C3—34no—
1107C22×C3—42no—
1108C22×C3—42no—
1109C22×C3—42no—
1110C22×C3—41no—
1111C22×C3—41no—
1112C22×C3—41no—
1113C22×C3—41no—
1114C22×C3—41no—
1115C22×C3—41no—
1116C22×C3—41no—
1117C22×C3—41no—
1118C22×C3—62no—
1119C22×C3—62no—
1120C22×C3—62no—
1121C22×C3—62no—
1122C22×C3—62no—
1123C22×C3—62no—
1124C22×C3—62no—
1125C22×C3—62no—
1126C22×C3—62no—
1127C22×C3—62no—
1128C22×C3—62no—
1129C22×C3—62no—
1130C22×C3—62no—
1131C22×C3—62no—
1132C22×C3—62no—
1133C22×C3—62no—
1134C22×C3—62no—
1135C22×C3—62no—
1136C22×C3—81no—
1137C22×C3—81no—
1138C22×C3—81no—
1139C22×C3—81no—
1140C22×C3—1216no—
1141C22×C3—121no—
1142C22×C3—121no—
1143C22×C3—121no—
1144C22×C3—121no—
1145C22×C3—121no—
1146C22×C3—121no—
1147C22×C3—121no—
1148C22×C3—121no—
1149C22×C3C22×D1211yescharacteristic
1150C22×C3C2×D3×D411yescharacteristic
1151C22×C3C2×D3×D411yescharacteristic
1152C22×C3C2×D3×D411yescharacteristic
1153C22×C3C2×D3×D411yescharacteristic
1154C22×C3C2×D3×D411yescharacteristic
1155C22×C3C2×D3×D411yescharacteristic
1156C22×C3C2×D3×D411yescharacteristic
1157C22×C3C2×D3×D411yescharacteristic
1158C22×C3#100411yescharacteristic
1159C22×C3#100411yescharacteristic
1160C22×C3#100911yescharacteristic
1161C22×C3#100911yescharacteristic
1162C22×C3C22×#6711yescharacteristic
1163C2×D3—22no—
1164C2×D3—22no—
1165C2×D3—22no—
1166C2×D3—22no—
1167C2×D3—22no—
1168C2×D3—22no—
1169C2×D3—22no—
1170C2×D3—22no—
1171C2×D3—22no—
1172C2×D3—22no—
1173C2×D3—22no—
1174C2×D3—22no—
1175C2×D3—22no—
1176C2×D3—22no—
1177C2×D3—22no—
1178C2×D3—22no—
1179C2×D3—22no—
1180C2×D3—22no—
1181C2×D3—416no—
1182C2×D3—41no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—62no—
1191C2×D3—62no—
1192C2×D3—62no—
1193C2×D3—62no—
1194C2×D3—62no—
1195C2×D3—62no—
1196C2×D3—62no—
1197C2×D3—62no—
1198C2×D3—62no—
1199C2×D3—62no—
1200C2×D3—62no—
1201C2×D3—62no—
1202C2×D3—122no—
1203C2×D3—122no—
1204C2×D3—122no—
1205C2×D3—122no—
1206C2×D3—122no—
1207C2×D3—122no—
1208C2×D3—1216no—
1209C2×D3—1216no—
1210C2×D3—1216no—
1211C2×D3—1216no—
1212C2×D3—121no—
1213C2×D3—121no—
1214C2×D3—121no—
1215C2×D3—121no—
1216C2×D3—121no—
1217C2×D3—121no—
1218C2×D3—121no—
1219C2×D3—121no—
1220C2×D3—121no—
1221C2×D3—121no—
1222C2×D3—121no—
1223C2×D3—121no—
1224C2×D3—121no—
1225C2×D3—121no—
1226C2×D3—121no—
1227C2×D3—121no—
1228C2×D3—241no—
1229C2×D3—241no—
1230C2×D3—241no—
1231C2×D3—241no—
1232C2×D3—241no—
1233C2×D3—241no—
1234C2×D3—241no—
1235C2×D3—241no—
1236C2×D3#88214yescomplemented
1237C2×D3#93714yescomplemented
1238C3×C4—22no—
1239C3×C4—22no—
1240C3×C4—42no—
1241C3×C4—41no—
1242C3×C4—41no—
1243C3×C4—62no—
1244C3×C4—62no—
1245C3×C4—81no—
1246C3×C4—121no—
1247C3×C4—121no—
1248Dic3—22no—
1249Dic3—22no—
1250Dic3—41no—
1251Dic3—41no—
1252Dic3—62no—
1253Dic3—62no—
1254Dic3—122no—
1255Dic3—122no—
1256Dic3—121no—
1257Dic3—121no—
1258C32#240311yescharacteristic, complemented, Sylow
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—32no—
1266C23—32no—
1267C23—32no—
1268C23—32no—
1269C23—32no—
1270C23—32no—
1271C23—32no—
1272C23—32no—
1273C23—68no—
1274C23—61no—
1275C23—61no—
1276C23—61no—
1277C23—61no—
1278C23—61no—
1279C23—61no—
1280C23—61no—
1281C23—61no—
1282C23—61no—
1283C23—61no—
1284C23—61no—
1285C23—61no—
1286C23—61no—
1287C23—61no—
1288C23—61no—
1289C23—61no—
1290C23—61no—
1291C23—61no—
1292C23—61no—
1293C23—61no—
1294C23—92no—
1295C23—92no—
1296C23—124no—
1297C23—124no—
1298C23—124no—
1299C23—124no—
1300C23—124no—
1301C23—124no—
1302C23—188no—
1303C23—188no—
1304C23—188no—
1305C23—181no—
1306C23—181no—
1307C23—181no—
1308C23—181no—
1309C23—181no—
1310C23—181no—
1311C23—181no—
1312C23—181no—
1313C23—181no—
1314C23—181no—
1315C23—181no—
1316C23—181no—
1317C23—364no—
1318C23—364no—
1319C23—364no—
1320C23—364no—
1321C23—364no—
1322C23—364no—
1323C23—364no—
1324C23—364no—
1325C23—364no—
1326C23—364no—
1327C23—364no—
1328C23D3×D1212yescomplemented
1329C23C22×D3211yescharacteristic
1330D4—68no—
1331D4—68no—
1332D4—124no—
1333D4—124no—
1334D4—188no—
1335D4—188no—
1336D4—188no—
1337D4—188no—
1338D4—188no—
1339D4—188no—
1340D4—364no—
1341D4—364no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—32no—
1348C2×C4—32no—
1349C2×C4—68no—
1350C2×C4—61no—
1351C2×C4—61no—
1352C2×C4—61no—
1353C2×C4—61no—
1354C2×C4—61no—
1355C2×C4—61no—
1356C2×C4—61no—
1357C2×C4—61no—
1358C2×C4—61no—
1359C2×C4—61no—
1360C2×C4—92no—
1361C2×C4—188no—
1362C2×C4—181no—
1363C2×C4—181no—
1364C2×C4—181no—
1365C2×C4—181no—
1366C2×C4—181no—
1367C2×C4D3×#6712yescomplemented
1368C2×C3—21no—
1369C2×C3—21no—
1370C2×C3—21no—
1371C2×C3—21no—
1372C2×C3—21no—
1373C2×C3—21no—
1374C2×C3—21no—
1375C2×C3—42no—
1376C2×C3—42no—
1377C2×C3—64no—
1378C2×C3—64no—
1379C2×C3—82no—
1380C2×C3—122no—
1381C2×C3—122no—
1382C2×C3C2×#88211yescharacteristic
1383C2×C3D4×D1211yescharacteristic
1384C2×C3D4×D1211yescharacteristic
1385C2×C3D3×#12011yescharacteristic
1386C2×C3D3×#12011yescharacteristic
1387C2×C3#558911yescharacteristic
1388C2×C3#559011yescharacteristic
1389C2×C3#559011yescharacteristic
1390C2×C3#560911yescharacteristic
1391C2×C3#560911yescharacteristic
1392C2×C3#565311yescharacteristic
1393C2×C3C2×#93711yescharacteristic
1394C2×C3D4×#6711yescharacteristic
1395C2×C3D4×#6711yescharacteristic
1396D3—24no—
1397D3—24no—
1398D3—42no—
1399D3—42no—
1400D3—122no—
1401D3—122no—
1402D3—122no—
1403D3—122no—
1404D3—242no—
1405D3—242no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—34no—
1410C22—34no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—62no—
1416C22—62no—
1417C22—62no—
1418C22—62no—
1419C22—62no—
1420C22—62no—
1421C22—62no—
1422C22—62no—
1423C22—62no—
1424C22—62no—
1425C22—62no—
1426C22—62no—
1427C22—62no—
1428C22—62no—
1429C22—62no—
1430C22—62no—
1431C22—62no—
1432C22—62no—
1433C22—1216no—
1434C22—121no—
1435C22—121no—
1436C22—121no—
1437C22—121no—
1438C22—121no—
1439C22—121no—
1440C22—121no—
1441C22—121no—
1442C22—182no—
1443C22—182no—
1444C22—182no—
1445C22—182no—
1446C22—182no—
1447C22—182no—
1448C22—3616no—
1449C22—3616no—
1450C22—361no—
1451C22—361no—
1452C22—361no—
1453C22—361no—
1454C22—361no—
1455C22—361no—
1456C22—361no—
1457C22—361no—
1458C22C2×D3×D1211yescharacteristic
1459C22#6430711yescharacteristic
1460C22D32×D411yescharacteristic
1461C22D32×D411yescharacteristic
1462C22D32×D411yescharacteristic
1463C22#6431411yescharacteristic
1464C22C2×D3×#6711yescharacteristic
1465C4—22no—
1466C4—41no—
1467C4—62no—
1468C4—62no—
1469C4—121no—
1470C4—121no—
1471C4—182no—
1472C4—361no—
1473C3—21no—
1474C3#7488411yescharacteristic, complemented
1475C3#8260411yescharacteristic, complemented
1476C2—42no—
1477C2—64no—
1478C2—64no—
1479C2—122no—
1480C2—122no—
1481C2—362no—
1482C2—362no—
1483C2D3×#88211yescharacteristic
1484C2#1059426211yescharacteristic
1485C2#1059427511yescharacteristic
1486C2#1059427711yescharacteristic
1487C2D12×#6711yescharacteristic
1488C2D3×#93711yescharacteristic
1489C2#1059528811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2403
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×D3×#67C2semidirect
2. C22×D3×D12C2semidirect
3. C2×C3×#882C2semidirect
4. C2×#63983C2semidirect
5. C2×#63977C2semidirect
6. C2×#63922C2semidirect
7. #10592659C2semidirect
8. C3×#4956C2semidirect
9. #10591724C2semidirect
10. #10591399C2semidirect
11. #10591395C2semidirect
12. #10591391C2semidirect
13. #10591381C2semidirect
14. #10591376C2semidirect
15. #10591364C2semidirect
18. C24×C3×D3C22semidirect
20. C23×D32C22semidirect
21. C22×#638C22semidirect
22. C22×#638C22semidirect
23. C22×C4⋊(C3⋊D3)C22semidirect
25. C22×C3×#67C22semidirect
27. C22×C3×D12C22semidirect
28. C22×C3×C4×D3C22semidirect
33. C22×#626C22semidirect
34. C22×#626C22semidirect
35. C22×#626C22semidirect
37. C22×D3×Dic3C22semidirect
41. C2×C32×C22⋊C4C22semidirect
42. C2×#3752C22semidirect
43. C2×#3752C22semidirect
44. C2×C3×#217C22semidirect
45. C2×C3×(C2×D3)⋊C4C22semidirect
46. C2×C3×(C2×D3)⋊C4C22semidirect
47. C2×C3×(C2×D3)⋊C4C22semidirect
51. C2×#3722C22semidirect
52. C2×#3722C22semidirect
53. C2×(C2×D3)⋊Dic3C22semidirect
54. C2×(C2×D3)⋊Dic3C22semidirect
55. C2×(C2×D3)⋊Dic3C22semidirect
56. C2×(C2×D3)⋊Dic3C22semidirect
57. C2×(C2×D3)⋊Dic3C22semidirect
59. #63658C22semidirect
60. C3×C3⋊#95C22semidirect
61. C3×C3⋊#95C22semidirect
62. #63579C22semidirect
74. C2×#882D3semidirect
87. #4956D3semidirect
121. C22×D32D4semidirect
140. C2×C3×#67D4semidirect
150. C2×C3×D12D4semidirect
166. C2×#626D4semidirect
169. C2×#625D4semidirect
194. C24×D3C2×D3semidirect
216. C22×#67C2×D3semidirect
235. C22×D12C2×D3semidirect
237. C22×C4×D3C2×D3semidirect
244. C2×C3×C22⋊C4C2×D3semidirect
245. C2×C3×C22⋊C4C2×D3semidirect
252. C2×#217C2×D3semidirect
271. C2×(C2×D3)⋊C4C2×D3semidirect
272. C2×(C2×D3)⋊C4C2×D3semidirect
273. C2×(C2×D3)⋊C4C2×D3semidirect
284. C3⋊#95C2×D3semidirect
285. C3⋊#95C2×D3semidirect
292. C23×C32C2×D4semidirect
307. C22×C3⋊D3C2×D4semidirect
341. C22×C3×D3C2×D4semidirect
342. C22×C3×D3C2×D4semidirect
362. C2×C32×C4C2×D4semidirect
370. C2×C3⋊Dic3C2×D4semidirect
384. C2×C3×Dic3C2×D4semidirect
385. C2×C3×Dic3C2×D4semidirect
536. C2×#67D12semidirect
579. C2×D12#67semidirect
672. C2×C3×D3#120semidirect
673. C2×C3×D3#120semidirect
724. C2×C22⋊C4D32semidirect
784. C23×C3C2×D12semidirect
785. C23×C3D3×D4semidirect
890. C22×D3D3×D4semidirect
892. C22×D3C2×#67semidirect
926. C2×C3×C4D3×D4semidirect
927. C2×C3×C4C2×#67semidirect
971. C2×Dic3C2×D12semidirect
972. C2×Dic3D3×D4semidirect
1236. C2×D3#882semidirect
1237. C2×D3#937semidirect
1258. C32#2403semidirect
1328. C23D3×D12semidirect
1367. C2×C4D3×#67semidirect
1474. C3#74884semidirect
1475. C3#82604semidirect

Maximal subgroups

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

subgroupindex
C22×D3×#672
C22×D3×D122
C2×C3×#8822
C2×#639832
C2×#639772
C2×#639222
#105926592
C3×#49562
#105917242
#105913992
#105913952
#105913912
#105913812
#105913762
#105913642
#826043
#748843