Finite Group Databasebeta

← #11808999

Subgroups — #11808999

Order 1152.

3459 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3811C211yesmaximal, characteristic, complemented
2C22×D3×#67C211yesmaximal, characteristic, complemented
3C2×#64146C211yesmaximal, characteristic, complemented
4C2×C3×#937C211yesmaximal, characteristic, complemented
5C2×#63981C211yesmaximal, characteristic, complemented
6C2×#63977C211yesmaximal, characteristic, complemented
7C3×#5223C211yesmaximal, characteristic, complemented
8#10591724C211yesmaximal, characteristic, complemented
9#10591723C211yesmaximal, characteristic, complemented
10#10591722C211yesmaximal, characteristic, complemented
11#10591721C211yesmaximal, characteristic, complemented
12#10591399C211yesmaximal, characteristic, complemented
13#10591393C211yesmaximal, characteristic, complemented
14#10591364C211yesmaximal, characteristic, complemented
15#10591275C211yesmaximal, characteristic, complemented
16#82604—31nomaximal
17#76753—31nomaximal
18C24×C3⋊D3C2211yescharacteristic, complemented
19C24×C3×D3C2211yescharacteristic, complemented
20C23×D32C2211yescharacteristic
21C22×C32×D4C2211yescharacteristic, complemented
22C22×#638C2211yescharacteristic
23C22×#638C2211yescharacteristic, complemented
24C22×C3×#67C2211yescharacteristic
25C22×C3×#67C2211yescharacteristic, complemented
26C22×C3×#67C2211yescharacteristic, complemented
27C22×C3×#67C2211yescharacteristic, complemented
28C2×#3811—24no—
29C2×#3811—24no—
30C2×#3811—24no—
31C2×D3×#67—24no—
32C2×D3×#67—24no—
33C2×D3×#67—24no—
34C22×#626C2211yescharacteristic
35C22×#626C2211yescharacteristic
36C22×#626C2211yescharacteristic, complemented
37C22×#626C2211yescharacteristic, complemented
38C22×#625C2211yescharacteristic, complemented
39C22×#624C2211yescharacteristic, complemented
40C22×D3×Dic3C2211yescharacteristic, complemented
41C2×#3757C2211yescharacteristic, complemented
42#64146—24no—
43C2×#3752C2211yescharacteristic, complemented
44C2×#3752C2211yescharacteristic, complemented
45C2×C3×#217C2211yescharacteristic, complemented
46C2×C3×#217C2211yescharacteristic, complemented
47C2×C3×#217C2211yescharacteristic, complemented
48C3×#937—24no—
49C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
50C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
51C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
52#63981—24no—
53#63977—24no—
54C2×#3722C2211yescharacteristic, complemented
55C2×#3722C2211yescharacteristic, complemented
56C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
59C3×C3⋊#95C2211yescharacteristic, complemented
60#63579C2211yescharacteristic, complemented
61#63579C2211yescharacteristic, complemented
62#63579C2211yescharacteristic, complemented
63C23×#67—31no—
64C22×D3×D4—31no—
65C22×D3×D4—31no—
66C22×D3×D4—31no—
67C2×C3×#120—31no—
68C2×#953—31no—
69C2×#937—31no—
70C2×#937—31no—
71C2×#937—31no—
72C2×#937—61no—
73C2×#937D311yescharacteristic, complemented
74C2×#882—31no—
75C2×#882—31no—
76C3×#392—31no—
77#5223—31no—
78#5223—31no—
79#5223—31no—
80#5223D311yescharacteristic, complemented
81#5220—31no—
82#4960—31no—
83#4960—31no—
84#4960—31no—
85#4958—31no—
86#4956—31no—
87#4956—31no—
88#4956—31no—
89#4956—31no—
90#4955—31no—
91#4955—31no—
92#4665—31no—
93#4665—31no—
94C24×C32C2311yescharacteristic
95C24×C32C2311yescharacteristic
96C23×C3⋊D3—22no—
97C23×C3⋊D3—22no—
98C23×C3⋊D3—22no—
99C23×C3⋊D3—22no—
100C23×C3⋊D3—22no—
101C23×C3⋊D3—41no—
102C23×C3⋊D3—41no—
103C23×C3⋊D3C2311yescharacteristic
104C23×C3⋊D3C2311yescharacteristic
105C23×C3×D3—22no—
106C23×C3×D3—22no—
107C23×C3×D3—22no—
108C23×C3×D3—22no—
109C23×C3×D3—22no—
110C23×C3×D3—41no—
111C23×C3×D3—41no—
112C23×C3×D3C2311yescharacteristic
113C23×C3×D3C2311yescharacteristic
114C23×C3×D3C2311yescharacteristic
115C22×D32—22no—
116C22×D32—22no—
117C22×D32—22no—
118C22×D32—22no—
119C22×D32—41no—
120C22×D32—41no—
121C22×D32D414yescomplemented
122C2×C32×D4—22no—
123C2×C32×D4—22no—
124C2×C32×D4—41no—
125C22×C32×C4C2311yescharacteristic
126C2×#638—22no—
127C2×#638—22no—
128C2×#638—22no—
129C2×#638—22no—
130C2×#638—41no—
131C2×#638D414yescomplemented
132C22×C3⋊Dic3C2311yescharacteristic
133C22×C3⋊Dic3C2311yescharacteristic
134C2×C3×#67—22no—
135C2×C3×#67—22no—
136C2×C3×#67—22no—
137C2×C3×#67—22no—
138C2×C3×#67—22no—
139C2×C3×#67—22no—
140C2×C3×#67—22no—
141C2×C3×#67—22no—
142C2×C3×#67—22no—
143C2×C3×#67—22no—
144C2×C3×#67—41no—
145C2×C3×#67D414yescomplemented
146C22×C3×Dic3C2311yescharacteristic
147C22×C3×Dic3C2311yescharacteristic
148C22×C3×Dic3C2311yescharacteristic
149C22×C3×Dic3C2311yescharacteristic
150C22×C3×Dic3C2311yescharacteristic
151#3811—232no—
152D3×#67—232no—
153C2×#626—22no—
154C2×#626—22no—
155C2×#626—22no—
156C2×#626—22no—
157C2×#626—22no—
158C2×#626—22no—
159C2×#626—22no—
160C2×#626—22no—
161C2×#626—22no—
162C2×#626—41no—
163C2×#626D414yescomplemented
164C2×#626D414yescomplemented
165C2×#625—22no—
166C2×#625—22no—
167C2×#625—22no—
168C2×#624—22no—
169C2×#624—22no—
170C2×#624—22no—
171C2×D3×Dic3—22no—
172C2×D3×Dic3—22no—
173C2×D3×Dic3—22no—
174#3757—22no—
175#3752—22no—
176#3752—22no—
177C3×#217—22no—
178C3×#217—22no—
179C3×#217—22no—
180C3×(C2×D3)⋊C4—22no—
181C3×(C2×D3)⋊C4—22no—
182C3×(C2×D3)⋊C4—41no—
183#3722—22no—
184#3722—22no—
185(C2×D3)⋊Dic3—22no—
186(C2×D3)⋊Dic3—22no—
187(C2×D3)⋊Dic3—41no—
188#2403—91noSylow
189C25×C3—31no—
190C24×D3—31no—
191C24×D3—31no—
192C24×D3—31no—
193C24×D3—31no—
194C24×D3—61no—
195C24×D3C2×D311yescharacteristic, complemented
196C22×C3×D4—21no—
197C22×C3×D4—31no—
198C22×C3×D4—31no—
199C22×C3×D4—31no—
200C22×C3×D4—31no—
201C22×C3×D4C2×D311yescharacteristic, complemented
202C22×C3×D4C2×D311yescharacteristic, complemented
203C22×#67—31no—
204C22×#67—31no—
205C22×#67—31no—
206C22×#67—31no—
207C22×#67—31no—
208C22×#67—31no—
209C22×#67—31no—
210C22×#67—31no—
211C22×#67—31no—
212C22×#67—31no—
213C22×#67—61no—
214C22×#67—61no—
215C22×#67—64no—
216C22×#67—64no—
217C22×#67—64no—
218C22×#67C2×D311yescharacteristic
219C22×#67C2×D311yescharacteristic, complemented
220C22×#67C2×D311yescharacteristic, complemented
221C22×#67C2×D311yescharacteristic, complemented
222C23×Dic3—31no—
223C2×D3×D4—64no—
224C2×D3×D4—64no—
225C2×D3×D4—64no—
226C2×D3×D4—64no—
227C2×D3×D4—64no—
228C2×D3×D4—64no—
229C2×D3×D4—64no—
230C2×D3×D4—64no—
231C2×D3×D4—64no—
232C22×D12—31no—
233C22×D12—31no—
234C22×D12—31no—
235C22×D12—31no—
236C22×C4×D3—31no—
237C22×C4×D3—31no—
238C22×C4×D3—31no—
239C3×#120—64no—
240C2×C3×C22⋊C4—31no—
241C2×C3×C22⋊C4—31no—
242C2×C3×C22⋊C4—31no—
243C2×C3×C22⋊C4—31no—
244C2×C3×C22⋊C4—31no—
245C2×C3×C22⋊C4—31no—
246#953—64no—
247C2×#217—31no—
248C2×#217—31no—
249C2×#217—31no—
250C2×#217—31no—
251C2×#217—31no—
252C2×#217—61no—
253C2×#217C2×D311yescharacteristic, complemented
254C2×#217C2×D311yescharacteristic, complemented
255C2×#217C2×D311yescharacteristic, complemented
256#937—24no—
257#937—64no—
258#937—64no—
259#937—64no—
260#937—68no—
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—31no—
270C2×(C2×D3)⋊C4—31no—
271C2×(C2×D3)⋊C4—31no—
272C2×(C2×D3)⋊C4—61no—
273C2×(C2×D3)⋊C4—61no—
274C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
275C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
276C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
277#882—64no—
278#882—64no—
279C3×#95—31no—
280C3⋊#95—31no—
281C3⋊#95—31no—
282C3⋊#95—31no—
283C3⋊#95—31no—
284C3⋊#95—31no—
285C3⋊#95—31no—
286C3⋊#95C2×D311yescharacteristic, complemented
287C23×C32—21no—
288C23×C32—21no—
289C23×C32—21no—
290C23×C32—21no—
291C23×C32—21no—
292C23×C32—21no—
293C23×C32—21no—
294C23×C32—21no—
295C23×C32—21no—
296C23×C32—21no—
297C23×C32—21no—
298C23×C32—21no—
299C23×C32C2×D412yescomplemented
300C23×C32C2×D412yescomplemented
301C23×C32C2411yescharacteristic
302C22×C3⋊D3—21no—
303C22×C3⋊D3—21no—
304C22×C3⋊D3—21no—
305C22×C3⋊D3—21no—
306C22×C3⋊D3—21no—
307C22×C3⋊D3—21no—
308C22×C3⋊D3—28no—
309C22×C3⋊D3—21no—
310C22×C3⋊D3—21no—
311C22×C3⋊D3—21no—
312C22×C3⋊D3—21no—
313C22×C3⋊D3—44no—
314C22×C3⋊D3—44no—
315C22×C3⋊D3—44no—
316C22×C3⋊D3—44no—
317C22×C3⋊D3—44no—
318C22×C3⋊D3—44no—
319C22×C3⋊D3C2×D412yes—
320C22×C3⋊D3C2×D412yes—
321C22×C3⋊D3C2×D412yes—
322C22×C3⋊D3C2×D412yescomplemented
323C22×C3×D3—21no—
324C22×C3×D3—21no—
325C22×C3×D3—21no—
326C22×C3×D3—21no—
327C22×C3×D3—28no—
328C22×C3×D3—21no—
329C22×C3×D3—21no—
330C22×C3×D3—21no—
331C22×C3×D3—21no—
332C22×C3×D3—21no—
333C22×C3×D3—21no—
334C22×C3×D3—21no—
335C22×C3×D3—21no—
336C22×C3×D3—21no—
337C22×C3×D3—21no—
338C22×C3×D3—21no—
339C22×C3×D3—21no—
340C22×C3×D3—44no—
341C22×C3×D3—44no—
342C22×C3×D3—44no—
343C22×C3×D3—44no—
344C22×C3×D3—44no—
345C22×C3×D3—44no—
346C22×C3×D3C2×D412yes—
347C22×C3×D3C2×D412yes—
348C22×C3×D3C2×D412yes—
349C22×C3×D3C2×D412yes—
350C22×C3×D3C2×D412yescomplemented
351C2×D32—28no—
352C2×D32—28no—
353C2×D32—44no—
354C2×D32—44no—
355C2×D32—44no—
356C2×D32—44no—
357C2×D32—44no—
358C32×D4—44no—
359C2×C32×C4—21no—
360C2×C32×C4—21no—
361C2×C32×C4—21no—
362#638—28no—
363#638—44no—
364C2×C3⋊Dic3—21no—
365C2×C3⋊Dic3—21no—
366C2×C3⋊Dic3—21no—
367C2×C3⋊Dic3—21no—
368C2×C3⋊Dic3—21no—
369C2×C3⋊Dic3C2×D412yescomplemented
370C3×#67—28no—
371C3×#67—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×Dic3—21no—
385C2×C3×Dic3—21no—
386C2×C3×Dic3C2×D412yescomplemented
387C2×C3×Dic3C2×D412yescomplemented
388C2×C3×Dic3C2×D412yescomplemented
389#626—28no—
390#626—28no—
391#626—28no—
392#626—44no—
393#625—28no—
394#624—28no—
395D3×Dic3—28no—
396C23×D4—91no—
397C23×D4—91no—
398C2×#120—31no—
399C2×#120—91no—
400C2×#120—91no—
401C2×#120—91no—
402#392—31no—
403#392—91no—
404#392—91no—
405#392—91no—
406#386—91no—
407#386—91no—
408#386—91no—
409#386—91no—
410#379—91no—
411C24×C3—21no—
412C24×C3—21no—
413C24×C3—31no—
414C24×C3—31no—
415C24×C3—31no—
416C24×C3—62no—
417C24×C3—62no—
418C24×C3—62no—
419C24×C3—62no—
420C24×C3—62no—
421C24×C3—121no—
422C24×C3—121no—
423C24×C3C22×D311yescharacteristic
424C24×C3C22×D311yescharacteristic
425C24×C3C22×D311yescharacteristic
426C24×C3C22×D311yescharacteristic
427C23×D3—22no—
428C23×D3—22no—
429C23×D3—22no—
430C23×D3—22no—
431C23×D3—22no—
432C23×D3—31no—
433C23×D3—31no—
434C23×D3—31no—
435C23×D3—31no—
436C23×D3—34no—
437C23×D3—34no—
438C23×D3—41no—
439C23×D3—41no—
440C23×D3—61no—
441C23×D3—61no—
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—62no—
458C23×D3—62no—
459C23×D3—62no—
460C23×D3—64no—
461C23×D3—122no—
462C23×D3—122no—
463C23×D3—122no—
464C23×D3—122no—
465C23×D3—121no—
466C23×D3—121no—
467C23×D3—121no—
468C23×D3—121no—
469C23×D3—121no—
470C23×D3—121no—
471C23×D3—121no—
472C23×D3—121no—
473C23×D3—122no—
474C23×D3—122no—
475C23×D3C22×D311yescharacteristic
476C23×D3C22×D311yescharacteristic
477C23×D3C22×D311yescharacteristic
478C2×C3×D4—24no—
479C2×C3×D4—22no—
480C2×C3×D4—22no—
481C2×C3×D4—22no—
482C2×C3×D4—22no—
483C2×C3×D4—34no—
484C2×C3×D4—42no—
485C2×C3×D4—41no—
486C2×C3×D4—41no—
487C2×C3×D4—42no—
488C2×C3×D4—62no—
489C2×C3×D4—62no—
490C2×C3×D4—62no—
491C2×C3×D4—62no—
492C2×C3×D4—62no—
493C2×C3×D4—62no—
494C2×C3×D4—62no—
495C2×C3×D4—62no—
496C2×C3×D4—62no—
497C2×C3×D4—62no—
498C2×C3×D4—121no—
499C22×C3×C4—21no—
500C22×C3×C4—31no—
501C22×C3×C4—31no—
502C22×C3×C4—31no—
503C22×C3×C4—31no—
504C22×C3×C4—31no—
505C22×C3×C4C22×D311yescharacteristic
506C22×C3×C4C22×D311yescharacteristic
507C2×#67—22no—
508C2×#67—22no—
509C2×#67—22no—
510C2×#67—22no—
511C2×#67—22no—
512C2×#67—22no—
513C2×#67—22no—
514C2×#67—22no—
515C2×#67—22no—
516C2×#67—22no—
517C2×#67—34no—
518C2×#67—34no—
519C2×#67—34no—
520C2×#67—34no—
521C2×#67—41no—
522C2×#67—64no—
523C2×#67—62no—
524C2×#67—62no—
525C2×#67—62no—
526C2×#67—62no—
527C2×#67—62no—
528C2×#67—62no—
529C2×#67—62no—
530C2×#67—62no—
531C2×#67—62no—
532C2×#67—62no—
533C2×#67—632no—
534C2×#67—62no—
535C2×#67—62no—
536C2×#67—62no—
537C2×#67—62no—
538C2×#67—62no—
539C2×#67—62no—
540C2×#67—62no—
541C2×#67—62no—
542C2×#67—62no—
543C2×#67—62no—
544C2×#67—64no—
545C2×#67—62no—
546C2×#67—62no—
547C2×#67—62no—
548C2×#67—122no—
549C2×#67—122no—
550C2×#67—122no—
551C2×#67—121no—
552C2×#67—121no—
553C2×#67—121no—
554C2×#67—122no—
555C2×#67#6714yescomplemented
556C22×Dic3—31no—
557C22×Dic3—31no—
558C22×Dic3—31no—
559C22×Dic3—31no—
560C22×Dic3—61no—
561C22×Dic3—61no—
562C22×Dic3—62no—
563C22×Dic3—62no—
564C22×Dic3—62no—
565C22×Dic3C22×D311yescharacteristic
566C22×Dic3C22×D311yescharacteristic
567C22×Dic3C22×D311yescharacteristic
568C22×Dic3C22×D311yescharacteristic
569C22×Dic3C22×D311yescharacteristic
570D3×D4—632no—
571D3×D4—632no—
572D3×D4—632no—
573C2×D12—34no—
574C2×D12—34no—
575C2×D12—62no—
576C2×D12—62no—
577C2×D12—62no—
578C2×D12—62no—
579C2×D12—62no—
580C2×D12—62no—
581C2×D12—62no—
582C2×D12—62no—
583C2×D12—62no—
584C2×D12—121no—
585C2×C4×D3—62no—
586C2×C4×D3—62no—
587C2×C4×D3—62no—
588C2×C4×D3—62no—
589C2×C4×D3—62no—
590C2×C4×D3—62no—
591C2×C4×D3—62no—
592C2×C4×D3—62no—
593C2×C4×D3—62no—
594C3×C22⋊C4—62no—
595C3×C22⋊C4—62no—
596C3×C22⋊C4—62no—
597C3×C22⋊C4—62no—
598C3×C22⋊C4—62no—
599C3×C22⋊C4—121no—
600#217—22no—
601#217—22no—
602#217—22no—
603#217—62no—
604#217—62no—
605#217—62no—
606#217—64no—
607#217—62no—
608#217—121no—
609(C2×D3)⋊C4—22no—
610(C2×D3)⋊C4—22no—
611(C2×D3)⋊C4—41no—
612(C2×D3)⋊C4—62no—
613(C2×D3)⋊C4—62no—
614(C2×D3)⋊C4—62no—
615(C2×D3)⋊C4—62no—
616(C2×D3)⋊C4—62no—
617(C2×D3)⋊C4—62no—
618(C2×D3)⋊C4—62no—
619(C2×D3)⋊C4—64no—
620(C2×D3)⋊C4—64no—
621(C2×D3)⋊C4—62no—
622(C2×D3)⋊C4—62no—
623(C2×D3)⋊C4—62no—
624(C2×D3)⋊C4—121no—
625C22×C32—22no—
626C22×C32—22no—
627C22×C32—22no—
628C22×C32—22no—
629C22×C32—22no—
630C22×C32—22no—
631C22×C32—41no—
632C22×C32—41no—
633C22×C32—41no—
634C22×C32—41no—
635C22×C32—41no—
636C22×C32—41no—
637C22×C32—41no—
638C22×C32—41no—
639C22×C32C22×D411yescharacteristic
640C22×C32C22×D411yescharacteristic
641C22×C32C22×D411yescharacteristic
642C22×C32C22×D411yescharacteristic
643C22×C32C22×D411yescharacteristic
644C22×C32H(5,𝔽2)11yescharacteristic
645C22×C32H(5,𝔽2)11yescharacteristic
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—416no—
656C2×C3⋊D3—41no—
657C2×C3⋊D3—41no—
658C2×C3⋊D3—41no—
659C2×C3⋊D3—41no—
660C2×C3⋊D3#12014yescomplemented
661C2×C3×D3—22no—
662C2×C3×D3—22no—
663C2×C3×D3—22no—
664C2×C3×D3—22no—
665C2×C3×D3—22no—
666C2×C3×D3—22no—
667C2×C3×D3—22no—
668C2×C3×D3—22no—
669C2×C3×D3—22no—
670C2×C3×D3—22no—
671C2×C3×D3—22no—
672C2×C3×D3—22no—
673C2×C3×D3—416no—
674C2×C3×D3—41no—
675C2×C3×D3—41no—
676C2×C3×D3—41no—
677C2×C3×D3—41no—
678C2×C3×D3—41no—
679C2×C3×D3—41no—
680C2×C3×D3—41no—
681C2×C3×D3—41no—
682C2×C3×D3#12014yescomplemented
683D32—416no—
684C32×C4—41no—
685C3⋊Dic3—22no—
686C3⋊Dic3—41no—
687C3×Dic3—22no—
688C3×Dic3—22no—
689C3×Dic3—22no—
690C3×Dic3—41no—
691C3×Dic3—41no—
692C25—31no—
693C25—91no—
694C25—91no—
695C22×D4—31no—
696C22×D4—31no—
697C22×D4—31no—
698C22×D4—31no—
699C22×D4—91no—
700C22×D4—91no—
701C22×D4—91no—
702C22×D4—91no—
703C22×D4—91no—
704C22×D4—91no—
705C22×D4—91no—
706C22×D4—184no—
707C22×D4—184no—
708C22×D4—184no—
709C22×D4—184no—
710C22×D4—184no—
711C22×D4—184no—
712C22×D4D3211yescharacteristic, complemented
713C23×C4—91no—
714C23×C4—91no—
715#120—64no—
716#120—184no—
717#120—184no—
718#120—184no—
719C2×C22⋊C4—31no—
720C2×C22⋊C4—31no—
721C2×C22⋊C4—31no—
722C2×C22⋊C4—31no—
723C2×C22⋊C4—31no—
724C2×C22⋊C4—31no—
725C2×C22⋊C4—91no—
726C2×C22⋊C4—91no—
727C2×C22⋊C4—91no—
728C2×C22⋊C4—91no—
729C2×C22⋊C4—91no—
730C2×C22⋊C4—91no—
731C2×C22⋊C4—91no—
732C2×C22⋊C4—91no—
733#95—31no—
734#95—91no—
735#95—91no—
736#95—91no—
737C23×C3—22no—
738C23×C3—22no—
739C23×C3—21no—
740C23×C3—21no—
741C23×C3—21no—
742C23×C3—21no—
743C23×C3—21no—
744C23×C3—21no—
745C23×C3—21no—
746C23×C3—21no—
747C23×C3—21no—
748C23×C3—21no—
749C23×C3—21no—
750C23×C3—21no—
751C23×C3—21no—
752C23×C3—21no—
753C23×C3—21no—
754C23×C3—21no—
755C23×C3—21no—
756C23×C3—21no—
757C23×C3—21no—
758C23×C3—21no—
759C23×C3—21no—
760C23×C3—21no—
761C23×C3—21no—
762C23×C3—21no—
763C23×C3—21no—
764C23×C3—22no—
765C23×C3—22no—
766C23×C3—32no—
767C23×C3—32no—
768C23×C3—32no—
769C23×C3—32no—
770C23×C3—32no—
771C23×C3—41no—
772C23×C3—41no—
773C23×C3—41no—
774C23×C3—41no—
775C23×C3—41no—
776C23×C3—41no—
777C23×C3—41no—
778C23×C3—41no—
779C23×C3—41no—
780C23×C3—41no—
781C23×C3—68no—
782C23×C3—61no—
783C23×C3—61no—
784C23×C3—61no—
785C23×C3—61no—
786C23×C3—61no—
787C23×C3—61no—
788C23×C3—61no—
789C23×C3—61no—
790C23×C3—61no—
791C23×C3—61no—
792C23×C3—61no—
793C23×C3—61no—
794C23×C3—61no—
795C23×C3—61no—
796C23×C3—61no—
797C23×C3—61no—
798C23×C3—124no—
799C23×C3—124no—
800C23×C3—124no—
801C23×C3—124no—
802C23×C3—124no—
803C23×C3—124no—
804C23×C3D3×D412yescomplemented
805C23×C3D3×D412yescomplemented
806C23×C3D3×D412yescomplemented
807C23×C3C2×#6712yescomplemented
808C23×C3C23×D311yescharacteristic
809C23×C3C23×D311yescharacteristic
810C22×D3—21no—
811C22×D3—21no—
812C22×D3—21no—
813C22×D3—21no—
814C22×D3—28no—
815C22×D3—21no—
816C22×D3—21no—
817C22×D3—21no—
818C22×D3—21no—
819C22×D3—21no—
820C22×D3—21no—
821C22×D3—21no—
822C22×D3—21no—
823C22×D3—21no—
824C22×D3—21no—
825C22×D3—21no—
826C22×D3—21no—
827C22×D3—32no—
828C22×D3—32no—
829C22×D3—32no—
830C22×D3—32no—
831C22×D3—32no—
832C22×D3—32no—
833C22×D3—32no—
834C22×D3—32no—
835C22×D3—44no—
836C22×D3—44no—
837C22×D3—44no—
838C22×D3—44no—
839C22×D3—44no—
840C22×D3—44no—
841C22×D3—62no—
842C22×D3—62no—
843C22×D3—62no—
844C22×D3—62no—
845C22×D3—68no—
846C22×D3—68no—
847C22×D3—68no—
848C22×D3—61no—
849C22×D3—61no—
850C22×D3—61no—
851C22×D3—61no—
852C22×D3—61no—
853C22×D3—61no—
854C22×D3—61no—
855C22×D3—61no—
856C22×D3—62no—
857C22×D3—68no—
858C22×D3—68no—
859C22×D3—62no—
860C22×D3—61no—
861C22×D3—61no—
862C22×D3—61no—
863C22×D3—61no—
864C22×D3—61no—
865C22×D3—61no—
866C22×D3—61no—
867C22×D3—61no—
868C22×D3—61no—
869C22×D3—61no—
870C22×D3—61no—
871C22×D3—61no—
872C22×D3—68no—
873C22×D3—121no—
874C22×D3—121no—
875C22×D3—121no—
876C22×D3—121no—
877C22×D3—121no—
878C22×D3—121no—
879C22×D3—121no—
880C22×D3—121no—
881C22×D3—128no—
882C22×D3—124no—
883C22×D3—124no—
884C22×D3—124no—
885C22×D3—124no—
886C22×D3—124no—
887C22×D3—124no—
888C22×D3—124no—
889C22×D3—124no—
890C22×D3—124no—
891C22×D3—124no—
892C22×D3—124no—
893C22×D3—124no—
894C22×D3—124no—
895C22×D3—124no—
896C22×D3—124no—
897C22×D3—124no—
898C22×D3—124no—
899C22×D3—124no—
900C22×D3—124no—
901C22×D3—124no—
902C22×D3—128no—
903C22×D3—128no—
904C22×D3—124no—
905C22×D3—124no—
906C22×D3—128no—
907C22×D3—128no—
908C22×D3—128no—
909C22×D3—128no—
910C22×D3D3×D412yes—
911C22×D3D3×D412yes—
912C22×D3D3×D412yes—
913C22×D3D3×D412yescomplemented
914C22×D3C2×#6712yes—
915C3×D4—44no—
916C3×D4—44no—
917C3×D4—48no—
918C3×D4—68no—
919C3×D4—68no—
920C3×D4—68no—
921C3×D4—124no—
922C2×C3×C4—22no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—32no—
930C2×C3×C4—32no—
931C2×C3×C4—32no—
932C2×C3×C4—41no—
933C2×C3×C4—41no—
934C2×C3×C4—61no—
935C2×C3×C4—61no—
936C2×C3×C4—61no—
937C2×C3×C4—61no—
938C2×C3×C4—61no—
939C2×C3×C4—61no—
940C2×C3×C4—61no—
941C2×C3×C4—61no—
942C2×C3×C4—61no—
943C2×C3×C4—61no—
944C2×C3×C4—61no—
945C2×C3×C4—61no—
946#67—28no—
947#67—28no—
948#67—28no—
949#67—44no—
950#67—68no—
951#67—68no—
952#67—68no—
953#67—68no—
954#67—68no—
955#67—68no—
956#67—68no—
957#67—128no—
958#67—124no—
959#67—124no—
960#67—124no—
961#67—128no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—32no—
975C2×Dic3—32no—
976C2×Dic3—62no—
977C2×Dic3—68no—
978C2×Dic3—61no—
979C2×Dic3—61no—
980C2×Dic3—61no—
981C2×Dic3—61no—
982C2×Dic3—62no—
983C2×Dic3—61no—
984C2×Dic3—61no—
985C2×Dic3—61no—
986C2×Dic3—61no—
987C2×Dic3—61no—
988C2×Dic3—61no—
989C2×Dic3—121no—
990C2×Dic3—121no—
991C2×Dic3—121no—
992C2×Dic3—121no—
993C2×Dic3D3×D412yescomplemented
994C2×Dic3D3×D412yescomplemented
995C2×Dic3C2×#6712yescomplemented
996D12—68no—
997D12—68no—
998D12—68no—
999D12—124no—
1000C4×D3—68no—
1001C4×D3—68no—
1002C4×D3—68no—
1003C2×C32—42no—
1004C2×C32—42no—
1005C2×C32C2×#12011yescharacteristic
1006C2×C32C2×#12011yescharacteristic
1007C2×C32#53411yescharacteristic
1008C2×C32D4211yescharacteristic
1009C2×C32D4211yescharacteristic
1010C2×C32D4211yescharacteristic
1011C2×C32D4211yescharacteristic
1012C3⋊D3—24no—
1013C3⋊D3—42no—
1014C3×D3—24no—
1015C3×D3—42no—
1016C3×D3—42no—
1017C24—31no—
1018C24—31no—
1019C24—31no—
1020C24—62no—
1021C24—62no—
1022C24—62no—
1023C24—62no—
1024C24—62no—
1025C24—94no—
1026C24—91no—
1027C24—91no—
1028C24—121no—
1029C24—121no—
1030C24—182no—
1031C24—182no—
1032C24—182no—
1033C24—182no—
1034C24—182no—
1035C24—182no—
1036C24—182no—
1037C24—182no—
1038C24—182no—
1039C24—361no—
1040C24—361no—
1041C24—361no—
1042C24—361no—
1043C24C2×D3211yescharacteristic
1044C24C2×D3211yescharacteristic
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—34no—
1048C2×D4—41no—
1049C2×D4—62no—
1050C2×D4—62no—
1051C2×D4—62no—
1052C2×D4—62no—
1053C2×D4—62no—
1054C2×D4—62no—
1055C2×D4—62no—
1056C2×D4—62no—
1057C2×D4—62no—
1058C2×D4—62no—
1059C2×D4—94no—
1060C2×D4—94no—
1061C2×D4—94no—
1062C2×D4—121no—
1063C2×D4—182no—
1064C2×D4—182no—
1065C2×D4—182no—
1066C2×D4—182no—
1067C2×D4—182no—
1068C2×D4—182no—
1069C2×D4—182no—
1070C2×D4—182no—
1071C2×D4—182no—
1072C2×D4—182no—
1073C2×D4—1832no—
1074C2×D4—1832no—
1075C2×D4—182no—
1076C2×D4—182no—
1077C2×D4—182no—
1078C2×D4—182no—
1079C2×D4—182no—
1080C2×D4—182no—
1081C2×D4—361no—
1082C2×D4—361no—
1083C22×C4—31no—
1084C22×C4—31no—
1085C22×C4—31no—
1086C22×C4—31no—
1087C22×C4—31no—
1088C22×C4—91no—
1089C22×C4—91no—
1090C22×C4—182no—
1091C22×C4—182no—
1092C22×C4—182no—
1093C22×C4—182no—
1094C22×C4—182no—
1095C22×C4—182no—
1096C22×C4C2×D3211yescharacteristic
1097C22⋊C4—62no—
1098C22⋊C4—62no—
1099C22⋊C4—62no—
1100C22⋊C4—62no—
1101C22⋊C4—62no—
1102C22⋊C4—121no—
1103C22⋊C4—182no—
1104C22⋊C4—182no—
1105C22⋊C4—182no—
1106C22⋊C4—182no—
1107C22⋊C4—182no—
1108C22⋊C4—182no—
1109C22⋊C4—182no—
1110C22⋊C4—361no—
1111C22×C3—24no—
1112C22×C3—22no—
1113C22×C3—22no—
1114C22×C3—22no—
1115C22×C3—22no—
1116C22×C3—22no—
1117C22×C3—22no—
1118C22×C3—22no—
1119C22×C3—22no—
1120C22×C3—22no—
1121C22×C3—22no—
1122C22×C3—22no—
1123C22×C3—22no—
1124C22×C3—21no—
1125C22×C3—21no—
1126C22×C3—21no—
1127C22×C3—21no—
1128C22×C3—21no—
1129C22×C3—21no—
1130C22×C3—21no—
1131C22×C3—34no—
1132C22×C3—42no—
1133C22×C3—42no—
1134C22×C3—42no—
1135C22×C3—42no—
1136C22×C3—42no—
1137C22×C3—42no—
1138C22×C3—42no—
1139C22×C3—42no—
1140C22×C3—42no—
1141C22×C3—41no—
1142C22×C3—41no—
1143C22×C3—41no—
1144C22×C3—41no—
1145C22×C3—41no—
1146C22×C3—41no—
1147C22×C3—41no—
1148C22×C3—41no—
1149C22×C3—41no—
1150C22×C3—41no—
1151C22×C3—41no—
1152C22×C3—41no—
1153C22×C3—41no—
1154C22×C3—41no—
1155C22×C3—41no—
1156C22×C3—41no—
1157C22×C3—62no—
1158C22×C3—62no—
1159C22×C3—62no—
1160C22×C3—62no—
1161C22×C3—62no—
1162C22×C3—62no—
1163C22×C3—62no—
1164C22×C3—62no—
1165C22×C3—62no—
1166C22×C3—62no—
1167C22×C3—62no—
1168C22×C3—62no—
1169C22×C3—81no—
1170C22×C3—81no—
1171C22×C3—81no—
1172C22×C3—81no—
1173C22×C3—1216no—
1174C22×C3—121no—
1175C22×C3—121no—
1176C22×C3—121no—
1177C22×C3—121no—
1178C22×C3—121no—
1179C22×C3—121no—
1180C22×C3—121no—
1181C22×C3—121no—
1182C22×C3C2×D3×D411yescharacteristic
1183C22×C3C2×D3×D411yescharacteristic
1184C22×C3C2×D3×D411yescharacteristic
1185C22×C3C2×D3×D411yescharacteristic
1186C22×C3C2×D3×D411yescharacteristic
1187C22×C3C2×D3×D411yescharacteristic
1188C22×C3C2×D3×D411yescharacteristic
1189C22×C3C2×D3×D411yescharacteristic
1190C22×C3C2×D3×D411yescharacteristic
1191C22×C3#100411yescharacteristic
1192C22×C3#100411yescharacteristic
1193C22×C3#100411yescharacteristic
1194C22×C3#100911yescharacteristic
1195C22×C3C22×#6711yescharacteristic
1196C2×D3—22no—
1197C2×D3—22no—
1198C2×D3—22no—
1199C2×D3—22no—
1200C2×D3—22no—
1201C2×D3—22no—
1202C2×D3—22no—
1203C2×D3—22no—
1204C2×D3—22no—
1205C2×D3—22no—
1206C2×D3—22no—
1207C2×D3—22no—
1208C2×D3—34no—
1209C2×D3—34no—
1210C2×D3—416no—
1211C2×D3—41no—
1212C2×D3—41no—
1213C2×D3—41no—
1214C2×D3—41no—
1215C2×D3—41no—
1216C2×D3—41no—
1217C2×D3—41no—
1218C2×D3—41no—
1219C2×D3—64no—
1220C2×D3—62no—
1221C2×D3—62no—
1222C2×D3—62no—
1223C2×D3—62no—
1224C2×D3—62no—
1225C2×D3—62no—
1226C2×D3—62no—
1227C2×D3—62no—
1228C2×D3—62no—
1229C2×D3—62no—
1230C2×D3—62no—
1231C2×D3—62no—
1232C2×D3—64no—
1233C2×D3—62no—
1234C2×D3—62no—
1235C2×D3—62no—
1236C2×D3—62no—
1237C2×D3—62no—
1238C2×D3—62no—
1239C2×D3—122no—
1240C2×D3—122no—
1241C2×D3—122no—
1242C2×D3—122no—
1243C2×D3—122no—
1244C2×D3—122no—
1245C2×D3—122no—
1246C2×D3—122no—
1247C2×D3—1216no—
1248C2×D3—1216no—
1249C2×D3—1216no—
1250C2×D3—1216no—
1251C2×D3—122no—
1252C2×D3—122no—
1253C2×D3—122no—
1254C2×D3—122no—
1255C2×D3—1232no—
1256C2×D3—121no—
1257C2×D3—121no—
1258C2×D3—121no—
1259C2×D3—121no—
1260C2×D3—121no—
1261C2×D3—121no—
1262C2×D3—121no—
1263C2×D3—121no—
1264C2×D3#93714yescomplemented
1265C3×C4—42no—
1266C3×C4—41no—
1267C3×C4—41no—
1268C3×C4—62no—
1269C3×C4—62no—
1270C3×C4—62no—
1271C3×C4—121no—
1272C3×C4—121no—
1273Dic3—22no—
1274Dic3—22no—
1275Dic3—22no—
1276Dic3—41no—
1277Dic3—41no—
1278Dic3—62no—
1279Dic3—62no—
1280Dic3—122no—
1281Dic3—122no—
1282Dic3—121no—
1283Dic3—121no—
1284C32#240311yescharacteristic, complemented, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—32no—
1298C23—32no—
1299C23—32no—
1300C23—32no—
1301C23—32no—
1302C23—68no—
1303C23—61no—
1304C23—61no—
1305C23—61no—
1306C23—61no—
1307C23—61no—
1308C23—61no—
1309C23—61no—
1310C23—61no—
1311C23—61no—
1312C23—61no—
1313C23—61no—
1314C23—61no—
1315C23—61no—
1316C23—61no—
1317C23—61no—
1318C23—61no—
1319C23—92no—
1320C23—92no—
1321C23—92no—
1322C23—92no—
1323C23—124no—
1324C23—124no—
1325C23—124no—
1326C23—124no—
1327C23—124no—
1328C23—124no—
1329C23—188no—
1330C23—188no—
1331C23—188no—
1332C23—181no—
1333C23—181no—
1334C23—181no—
1335C23—181no—
1336C23—181no—
1337C23—181no—
1338C23—181no—
1339C23—181no—
1340C23—181no—
1341C23—181no—
1342C23—364no—
1343C23—364no—
1344C23—364no—
1345C23—364no—
1346C23—364no—
1347C23—364no—
1348C23—364no—
1349C23—364no—
1350C23—364no—
1351C23—364no—
1352C23—364no—
1353C23D3×#6712yescomplemented
1354C23#381112yescomplemented
1355C23C22×D3211yescharacteristic
1356D4—44no—
1357D4—68no—
1358D4—68no—
1359D4—68no—
1360D4—124no—
1361D4—188no—
1362D4—188no—
1363D4—188no—
1364D4—188no—
1365D4—188no—
1366D4—364no—
1367D4—364no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—32no—
1372C2×C4—32no—
1373C2×C4—32no—
1374C2×C4—61no—
1375C2×C4—61no—
1376C2×C4—61no—
1377C2×C4—61no—
1378C2×C4—61no—
1379C2×C4—61no—
1380C2×C4—61no—
1381C2×C4—61no—
1382C2×C4—61no—
1383C2×C4—61no—
1384C2×C4—61no—
1385C2×C4—61no—
1386C2×C4—92no—
1387C2×C4—188no—
1388C2×C4—188no—
1389C2×C4—181no—
1390C2×C4—181no—
1391C2×C4—181no—
1392C2×C4—181no—
1393C2×C4—181no—
1394C2×C3—21no—
1395C2×C3—21no—
1396C2×C3—21no—
1397C2×C3—21no—
1398C2×C3—21no—
1399C2×C3—21no—
1400C2×C3—21no—
1401C2×C3—44no—
1402C2×C3—42no—
1403C2×C3—42no—
1404C2×C3—42no—
1405C2×C3—42no—
1406C2×C3—64no—
1407C2×C3—82no—
1408C2×C3—122no—
1409C2×C3—122no—
1410C2×C3D3×#12011yescharacteristic
1411C2×C3D3×#12011yescharacteristic
1412C2×C3D3×#12011yescharacteristic
1413C2×C3#558911yescharacteristic
1414C2×C3#559011yescharacteristic
1415C2×C3#559011yescharacteristic
1416C2×C3#559011yescharacteristic
1417C2×C3#560511yescharacteristic
1418C2×C3#560911yescharacteristic
1419C2×C3#560911yescharacteristic
1420C2×C3#571711yescharacteristic
1421C2×C3C2×#93711yescharacteristic
1422C2×C3D4×#6711yescharacteristic
1423C2×C3D4×#6711yescharacteristic
1424D3—24no—
1425D3—42no—
1426D3—42no—
1427D3—64no—
1428D3—64no—
1429D3—124no—
1430D3—124no—
1431D3—122no—
1432D3—122no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—34no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—62no—
1449C22—62no—
1450C22—62no—
1451C22—62no—
1452C22—62no—
1453C22—62no—
1454C22—62no—
1455C22—62no—
1456C22—62no—
1457C22—62no—
1458C22—62no—
1459C22—62no—
1460C22—94no—
1461C22—1216no—
1462C22—121no—
1463C22—121no—
1464C22—121no—
1465C22—121no—
1466C22—121no—
1467C22—121no—
1468C22—121no—
1469C22—121no—
1470C22—182no—
1471C22—182no—
1472C22—182no—
1473C22—182no—
1474C22—182no—
1475C22—182no—
1476C22—182no—
1477C22—182no—
1478C22—182no—
1479C22—3616no—
1480C22—3616no—
1481C22—361no—
1482C22—361no—
1483C22—361no—
1484C22—361no—
1485C22D32×D411yescharacteristic
1486C22D32×D411yescharacteristic
1487C22D32×D411yescharacteristic
1488C22#6431411yescharacteristic
1489C22C2×D3×#6711yescharacteristic
1490C22C2×#381111yescharacteristic
1491C22#6433011yescharacteristic
1492C4—41no—
1493C4—62no—
1494C4—62no—
1495C4—62no—
1496C4—121no—
1497C4—121no—
1498C4—182no—
1499C4—361no—
1500C3—21no—
1501C3#7675311yescharacteristic, complemented
1502C3#8260411yescharacteristic, complemented
1503C2—42no—
1504C2—42no—
1505C2—64no—
1506C2—122no—
1507C2—122no—
1508C2—184no—
1509C2—362no—
1510C2D3×#93711yescharacteristic
1511C2#1059527811yescharacteristic
1512C2#1059528111yescharacteristic
1513C2#1059529111yescharacteristic
1514C2#1059529211yescharacteristic
1515C2#1059529511yescharacteristic
1516C2#1059552611yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC22×C32×D4C22
hypercenterC22×D4D32
hypocenterC32#2403
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#3811C2semidirect
2. C22×D3×#67C2semidirect
3. C2×#64146C2semidirect
4. C2×C3×#937C2semidirect
5. C2×#63981C2semidirect
6. C2×#63977C2semidirect
7. C3×#5223C2semidirect
8. #10591724C2semidirect
9. #10591723C2semidirect
10. #10591722C2semidirect
11. #10591721C2semidirect
12. #10591399C2semidirect
13. #10591393C2semidirect
14. #10591364C2semidirect
15. #10591275C2semidirect
18. C24×C3⋊D3C22semidirect
19. C24×C3×D3C22semidirect
21. C22×C32×D4C22semidirect
23. C22×#638C22semidirect
25. C22×C3×#67C22semidirect
26. C22×C3×#67C22semidirect
27. C22×C3×#67C22semidirect
36. C22×#626C22semidirect
37. C22×#626C22semidirect
38. C22×#625C22semidirect
39. C22×#624C22semidirect
40. C22×D3×Dic3C22semidirect
41. C2×#3757C22semidirect
43. C2×#3752C22semidirect
44. C2×#3752C22semidirect
45. C2×C3×#217C22semidirect
46. C2×C3×#217C22semidirect
47. C2×C3×#217C22semidirect
49. C2×C3×(C2×D3)⋊C4C22semidirect
50. C2×C3×(C2×D3)⋊C4C22semidirect
51. C2×C3×(C2×D3)⋊C4C22semidirect
54. C2×#3722C22semidirect
55. C2×#3722C22semidirect
56. C2×(C2×D3)⋊Dic3C22semidirect
57. C2×(C2×D3)⋊Dic3C22semidirect
58. C2×(C2×D3)⋊Dic3C22semidirect
59. C3×C3⋊#95C22semidirect
60. #63579C22semidirect
61. #63579C22semidirect
62. #63579C22semidirect
73. C2×#937D3semidirect
80. #5223D3semidirect
121. C22×D32D4semidirect
131. C2×#638D4semidirect
145. C2×C3×#67D4semidirect
163. C2×#626D4semidirect
164. C2×#626D4semidirect
195. C24×D3C2×D3semidirect
201. C22×C3×D4C2×D3semidirect
202. C22×C3×D4C2×D3semidirect
219. C22×#67C2×D3semidirect
220. C22×#67C2×D3semidirect
221. C22×#67C2×D3semidirect
253. C2×#217C2×D3semidirect
254. C2×#217C2×D3semidirect
255. C2×#217C2×D3semidirect
274. C2×(C2×D3)⋊C4C2×D3semidirect
275. C2×(C2×D3)⋊C4C2×D3semidirect
276. C2×(C2×D3)⋊C4C2×D3semidirect
286. C3⋊#95C2×D3semidirect
299. C23×C32C2×D4semidirect
300. C23×C32C2×D4semidirect
322. C22×C3⋊D3C2×D4semidirect
350. C22×C3×D3C2×D4semidirect
369. C2×C3⋊Dic3C2×D4semidirect
386. C2×C3×Dic3C2×D4semidirect
387. C2×C3×Dic3C2×D4semidirect
388. C2×C3×Dic3C2×D4semidirect
555. C2×#67#67semidirect
660. C2×C3⋊D3#120semidirect
682. C2×C3×D3#120semidirect
712. C22×D4D32semidirect
804. C23×C3D3×D4semidirect
805. C23×C3D3×D4semidirect
806. C23×C3D3×D4semidirect
807. C23×C3C2×#67semidirect
913. C22×D3D3×D4semidirect
993. C2×Dic3D3×D4semidirect
994. C2×Dic3D3×D4semidirect
995. C2×Dic3C2×#67semidirect
1264. C2×D3#937semidirect
1284. C32#2403semidirect
1353. C23D3×#67semidirect
1354. C23#3811semidirect
1501. C3#76753semidirect
1502. C3#82604semidirect

Maximal subgroups

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

subgroupindex
C22×#38112
C22×D3×#672
C2×#641462
C2×C3×#9372
C2×#639812
C2×#639772
C3×#52232
#105917242
#105917232
#105917222
#105917212
#105913992
#105913932
#105913642
#105912752
#826043
#767533