Finite Group Databasebeta

← #11809001

Subgroups — #11809001

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×D12C211yesmaximal, characteristic, complemented
3C2×#64091C211yesmaximal, characteristic, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63981C211yesmaximal, characteristic, complemented
6C2×#63923C211yesmaximal, characteristic, complemented
7C3×#4960C211yesmaximal, characteristic, complemented
8C3×#4956C211yesmaximal, characteristic, complemented
9#10591724C211yesmaximal, characteristic, complemented
10#10591399C211yesmaximal, characteristic, complemented
11#10591395C211yesmaximal, characteristic, complemented
12#10591391C211yesmaximal, characteristic, complemented
13#10591382C211yesmaximal, characteristic, complemented
14#10591380C211yesmaximal, characteristic, complemented
15#10591275C211yesmaximal, characteristic, complemented
16#76753—31nomaximal
17#74884—31nomaximal
18C24×C3⋊D3C2211yescharacteristic, complemented
19C23×D32C2211yescharacteristic
20C23×D32C2211yescharacteristic, complemented
21C22×#638C2211yescharacteristic, complemented
22C22×C4⋊(C3⋊D3)C2211yescharacteristic
23C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
24C22×C3×#67C2211yescharacteristic
25C22×C3×#67C2211yescharacteristic, complemented
26C22×C3×#67C2211yescharacteristic, complemented
27C22×C3×D12C2211yescharacteristic, complemented
28C22×C3×C4×D3C2211yescharacteristic, complemented
29C2×#3811—24no—
30C2×#3811—24no—
31C2×#3811—24no—
32C22×#626C2211yescharacteristic
33C22×#626C2211yescharacteristic
34C22×#626C2211yescharacteristic, complemented
35C22×#626C2211yescharacteristic, complemented
36C22×#626C2211yescharacteristic, complemented
37C22×#624C2211yescharacteristic, complemented
38C2×D3×D12—24no—
39C2×D3×D12—24no—
40C2×D3×D12—24no—
41C2×C32×C22⋊C4C2211yescharacteristic, complemented
42C2×#3752C2211yescharacteristic, complemented
43C2×#3752C2211yescharacteristic, complemented
44#64091—24no—
45C2×C3×#217C2211yescharacteristic, complemented
46C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
48C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
49#63983—24no—
50#63981—24no—
51C2×#3722C2211yescharacteristic, complemented
52C2×#3722C2211yescharacteristic, complemented
53C2×#3722C2211yescharacteristic, complemented
54C2×#3722C2211yescharacteristic, complemented
55C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58#63923—24no—
59C3×C3⋊#95C2211yescharacteristic, complemented
60C3×C3⋊#95C2211yescharacteristic, complemented
61C3×C3⋊#95C2211yescharacteristic, complemented
62#63579C2211yescharacteristic, complemented
63C22×D3×D4—31no—
64C22×D3×D4—31no—
65C22×D3×D4—31no—
66C23×D12—31no—
67C2×#937—31no—
68C2×#937—31no—
69C2×#937—31no—
70C2×#882—31no—
71C2×#882—31no—
72C2×#882—31no—
73C2×#882—31no—
74C2×#882—31no—
75C2×#882—61no—
76C3×#392—31no—
77C3×#386—31no—
78#5223—31no—
79#5223—31no—
80#5213—31no—
81#4960—31no—
82#4960—31no—
83#4960D311yescharacteristic, complemented
84#4956—31no—
85#4956D311yescharacteristic, complemented
86#4955—31no—
87#4955—31no—
88#4671—31no—
89#4671—31no—
90#4665—31no—
91#4665—31no—
92#4665—31no—
93#4665—31no—
94C24×C32C2311yescharacteristic
95C23×C3⋊D3—22no—
96C23×C3⋊D3—22no—
97C23×C3⋊D3—22no—
98C23×C3⋊D3—22no—
99C23×C3⋊D3—22no—
100C23×C3⋊D3—41no—
101C23×C3⋊D3—41no—
102C23×C3⋊D3C2311yescharacteristic
103C23×C3⋊D3C2311yescharacteristic
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—41no—
127C22×C3⋊Dic3C2311yescharacteristic
128C2×C4⋊(C3⋊D3)—22no—
129C2×C4⋊(C3⋊D3)—22no—
130C2×C4⋊(C3⋊D3)—22no—
131C2×C4⋊(C3⋊D3)—22no—
132C2×C4⋊(C3⋊D3)—41no—
133C2×C4⋊(C3⋊D3)D414yescomplemented
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—41no—
142C2×C3×#67D414yescomplemented
143C22×C3×Dic3C2311yescharacteristic
144C22×C3×Dic3C2311yescharacteristic
145C22×C3×Dic3C2311yescharacteristic
146C22×C3×Dic3C2311yescharacteristic
147C22×C3×Dic3C2311yescharacteristic
148C2×C3×D12—22no—
149C2×C3×D12—22no—
150C2×C3×D12—22no—
151C2×C3×C4×D3—22no—
152C2×C3×C4×D3—22no—
153C2×C3×C4×D3—22no—
154#3811—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—22no—
166C2×#626—22no—
167C2×#626—41no—
168C2×#626D414yescomplemented
169C2×#626D414yescomplemented
170C2×#624—22no—
171C2×#624—22no—
172C2×#624—22no—
173D3×D12—232no—
174C32×C22⋊C4—22no—
175#3752—22no—
176#3752—22no—
177C3×#217—22no—
178C3×(C2×D3)⋊C4—22no—
179C3×(C2×D3)⋊C4—22no—
180C3×(C2×D3)⋊C4—41no—
181#3722—22no—
182#3722—22no—
183#3722—22no—
184#3722—22no—
185(C2×D3)⋊Dic3—22no—
186(C2×D3)⋊Dic3—22no—
187(C2×D3)⋊Dic3—41no—
188#2403—91noSylow
189C24×D3—31no—
190C24×D3—31no—
191C24×D3—31no—
192C24×D3—31no—
193C24×D3—31no—
194C24×D3—31no—
195C24×D3—61no—
196C22×C3×D4—31no—
197C22×C3×D4—31no—
198C22×C3×D4—31no—
199C22×C3×D4—31no—
200C23×C3×C4—31no—
201C22×#67—31no—
202C22×#67—31no—
203C22×#67—31no—
204C22×#67—31no—
205C22×#67—31no—
206C22×#67—31no—
207C22×#67—31no—
208C22×#67—61no—
209C22×#67C2×D311yescharacteristic
210C22×#67C2×D311yescharacteristic, complemented
211C22×#67C2×D311yescharacteristic, complemented
212C2×D3×D4—64no—
213C2×D3×D4—64no—
214C2×D3×D4—64no—
215C2×D3×D4—64no—
216C2×D3×D4—64no—
217C2×D3×D4—64no—
218C2×D3×D4—64no—
219C2×D3×D4—64no—
220C2×D3×D4—64no—
221C22×D12—31no—
222C22×D12—31no—
223C22×D12—31no—
224C22×D12—31no—
225C22×D12—31no—
226C22×D12—31no—
227C22×D12—31no—
228C22×D12—31no—
229C22×D12—31no—
230C22×D12—61no—
231C22×D12—61no—
232C22×D12—64no—
233C22×D12—64no—
234C22×D12—64no—
235C22×D12C2×D311yescharacteristic, complemented
236C22×C4×D3—31no—
237C22×C4×D3—31no—
238C22×C4×D3C2×D311yescharacteristic, complemented
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
246C2×#217—31no—
247C2×#217—31no—
248C2×#217—31no—
249C2×#217C2×D311yescharacteristic, complemented
250#937—64no—
251#937—64no—
252#937—64no—
253C2×(C2×D3)⋊C4—31no—
254C2×(C2×D3)⋊C4—31no—
255C2×(C2×D3)⋊C4—31no—
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—61no—
269C2×(C2×D3)⋊C4—61no—
270C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
271C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
272C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
273#882—64no—
274#882—64no—
275#882—64no—
276#882—64no—
277#882—68no—
278#882—64no—
279C3×#95—31no—
280C3×#95—31no—
281C3×#95—31no—
282C3⋊#95—31no—
283C3⋊#95—31no—
284C3⋊#95C2×D311yescharacteristic, complemented
285C3⋊#95C2×D311yescharacteristic, complemented
286C3⋊#95C2×D311yescharacteristic, complemented
287C23×C32—21no—
288C23×C32—21no—
289C23×C32—21no—
290C23×C32—21no—
291C23×C32—21no—
292C23×C32—21no—
293C23×C32C2×D412yescomplemented
294C23×C32C2411yescharacteristic
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—28no—
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—21no—
309C22×C3⋊D3—21no—
310C22×C3⋊D3—21no—
311C22×C3⋊D3—21no—
312C22×C3⋊D3—44no—
313C22×C3⋊D3—44no—
314C22×C3⋊D3—44no—
315C22×C3⋊D3—44no—
316C22×C3⋊D3—44no—
317C22×C3⋊D3—44no—
318C22×C3⋊D3C2×D412yes—
319C22×C3⋊D3C2×D412yes—
320C22×C3⋊D3C2×D412yes—
321C22×C3⋊D3C2×D412yescomplemented
322C22×C3⋊D3C2×D412yescomplemented
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—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×D3C2×D412yes—
340C22×C3×D3C2×D412yes—
341C22×C3×D3C2×D412yes—
342C22×C3×D3C2×D412yes—
343C22×C3×D3C2×D412yescomplemented
344C2×D32—28no—
345C2×D32—28no—
346C2×D32—28no—
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×D32—44no—
358C2×C32×C4—21no—
359C2×C32×C4—21no—
360C2×C32×C4—21no—
361C2×C32×C4—21no—
362C2×C32×C4—21no—
363C2×C32×C4C2×D412yescomplemented
364#638—44no—
365C2×C3⋊Dic3—21no—
366C2×C3⋊Dic3—21no—
367C2×C3⋊Dic3—21no—
368C4⋊(C3⋊D3)—28no—
369C4⋊(C3⋊D3)—44no—
370C3×#67—28no—
371C3×#67—28no—
372C3×#67—44no—
373C2×C3×Dic3—21no—
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×Dic3C2×D412yescomplemented
386C2×C3×Dic3C2×D412yescomplemented
387C2×C3×Dic3C2×D412yescomplemented
388C3×D12—28no—
389C3×C4×D3—28no—
390#626—28no—
391#626—28no—
392#626—28no—
393#626—28no—
394#626—44no—
395#624—28no—
396C23×D4—91no—
397C23×D4—91no—
398C2×#120—91no—
399C2×#120—91no—
400C2×#120—91no—
401C2×#120—91no—
402#392—31no—
403#392—91no—
404#392—91no—
405#392—91no—
406#386—31no—
407#386—91no—
408#386—91no—
409#386—91no—
410#379—91no—
411C24×C3—21no—
412C24×C3—31no—
413C24×C3—31no—
414C24×C3—31no—
415C24×C3C22×D311yescharacteristic
416C24×C3C22×D311yescharacteristic
417C23×D3—31no—
418C23×D3—31no—
419C23×D3—31no—
420C23×D3—31no—
421C23×D3—31no—
422C23×D3—31no—
423C23×D3—34no—
424C23×D3—34no—
425C23×D3—61no—
426C23×D3—61no—
427C23×D3—61no—
428C23×D3—62no—
429C23×D3—62no—
430C23×D3—62no—
431C23×D3—62no—
432C23×D3—62no—
433C23×D3—62no—
434C23×D3—62no—
435C23×D3—62no—
436C23×D3—62no—
437C23×D3—62no—
438C23×D3—62no—
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—64no—
455C23×D3—62no—
456C23×D3—62no—
457C23×D3—122no—
458C23×D3—122no—
459C23×D3—122no—
460C23×D3—122no—
461C23×D3—121no—
462C23×D3—121no—
463C23×D3—121no—
464C23×D3—121no—
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—34no—
479C2×C3×D4—62no—
480C2×C3×D4—62no—
481C2×C3×D4—62no—
482C2×C3×D4—62no—
483C2×C3×D4—62no—
484C2×C3×D4—62no—
485C2×C3×D4—62no—
486C2×C3×D4—62no—
487C2×C3×D4—62no—
488C2×C3×D4—62no—
489C2×C3×D4—121no—
490C22×C3×C4—21no—
491C22×C3×C4—21no—
492C22×C3×C4—31no—
493C22×C3×C4—31no—
494C22×C3×C4—31no—
495C22×C3×C4—31no—
496C22×C3×C4—31no—
497C22×C3×C4—62no—
498C22×C3×C4—62no—
499C22×C3×C4—62no—
500C22×C3×C4C22×D311yescharacteristic
501C22×C3×C4C22×D311yescharacteristic
502C22×C3×C4C22×D311yescharacteristic
503C22×C3×C4C22×D311yescharacteristic
504C2×#67—22no—
505C2×#67—22no—
506C2×#67—22no—
507C2×#67—22no—
508C2×#67—22no—
509C2×#67—22no—
510C2×#67—22no—
511C2×#67—34no—
512C2×#67—34no—
513C2×#67—41no—
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—64no—
527C2×#67—62no—
528C2×#67—62no—
529C2×#67—62no—
530C2×#67—62no—
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—61no—
540C22×Dic3C22×D311yescharacteristic
541C22×Dic3C22×D311yescharacteristic
542C22×Dic3C22×D311yescharacteristic
543C22×Dic3C22×D311yescharacteristic
544C22×Dic3C22×D311yescharacteristic
545D3×D4—632no—
546D3×D4—632no—
547D3×D4—632no—
548C2×D12—22no—
549C2×D12—22no—
550C2×D12—22no—
551C2×D12—34no—
552C2×D12—34no—
553C2×D12—34no—
554C2×D12—34no—
555C2×D12—64no—
556C2×D12—632no—
557C2×D12—62no—
558C2×D12—62no—
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—64no—
576C2×D12—62no—
577C2×D12—62no—
578C2×D12—122no—
579C2×D12—122no—
580C2×D12—122no—
581C2×D12—121no—
582C2×D12—121no—
583C2×D12—122no—
584C2×D12—121no—
585C2×C4×D3—22no—
586C2×C4×D3—22no—
587C2×C4×D3—22no—
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—24no—
595C3×C22⋊C4—22no—
596C3×C22⋊C4—22no—
597C3×C22⋊C4—62no—
598C3×C22⋊C4—62no—
599C3×C22⋊C4—62no—
600C3×C22⋊C4—121no—
601#217—22no—
602#217—62no—
603#217—62no—
604#217—121no—
605(C2×D3)⋊C4—22no—
606(C2×D3)⋊C4—22no—
607(C2×D3)⋊C4—41no—
608(C2×D3)⋊C4—62no—
609(C2×D3)⋊C4—62no—
610(C2×D3)⋊C4—62no—
611(C2×D3)⋊C4—62no—
612(C2×D3)⋊C4—62no—
613(C2×D3)⋊C4—62no—
614(C2×D3)⋊C4—62no—
615(C2×D3)⋊C4—64no—
616(C2×D3)⋊C4—64no—
617(C2×D3)⋊C4—62no—
618(C2×D3)⋊C4—62no—
619(C2×D3)⋊C4—62no—
620(C2×D3)⋊C4—62no—
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—41no—
629C22×C32—41no—
630C22×C32—41no—
631C22×C32—41no—
632C22×C32C22×D411yescharacteristic
633C22×C32C22×D411yescharacteristic
634C22×C32C22×D411yescharacteristic
635C22×C32C22×D411yescharacteristic
636C22×C32C22×D411yescharacteristic
637C22×C32H(5,𝔽2)11yescharacteristic
638C22×C32H(5,𝔽2)11yescharacteristic
639C2×C3⋊D3—22no—
640C2×C3⋊D3—22no—
641C2×C3⋊D3—22no—
642C2×C3⋊D3—22no—
643C2×C3⋊D3—22no—
644C2×C3⋊D3—22no—
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—416no—
652C2×C3⋊D3—41no—
653C2×C3⋊D3—41no—
654C2×C3⋊D3—41no—
655C2×C3⋊D3—41no—
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—41no—
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#12014yescomplemented
682D32—416no—
683D32—416no—
684C32×C4—22no—
685C32×C4—41no—
686C3⋊Dic3—41no—
687C3×Dic3—22no—
688C3×Dic3—22no—
689C3×Dic3—22no—
690C3×Dic3—41no—
691C3×Dic3—41no—
692C25—91no—
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—91no—
707C22×D4—184no—
708C22×D4—184no—
709C22×D4—184no—
710C22×D4—184no—
711C22×D4—184no—
712C22×D4—184no—
713C23×C4—31no—
714C23×C4—91no—
715#120—184no—
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—91no—
724C2×C22⋊C4—91no—
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⋊C4D3211yescharacteristic, complemented
733#95—31no—
734#95—31no—
735#95—31no—
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—22no—
753C23×C3—32no—
754C23×C3—32no—
755C23×C3—32no—
756C23×C3—32no—
757C23×C3—32no—
758C23×C3—41no—
759C23×C3—41no—
760C23×C3—41no—
761C23×C3—41no—
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×C3C2×D1212yescomplemented
779C23×C3D3×D412yescomplemented
780C23×C3C23×D311yescharacteristic
781C23×C3C23×D311yescharacteristic
782C22×D3—21no—
783C22×D3—21no—
784C22×D3—21no—
785C22×D3—21no—
786C22×D3—21no—
787C22×D3—21no—
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—21no—
797C22×D3—21no—
798C22×D3—32no—
799C22×D3—32no—
800C22×D3—32no—
801C22×D3—32no—
802C22×D3—32no—
803C22×D3—32no—
804C22×D3—32no—
805C22×D3—32no—
806C22×D3—32no—
807C22×D3—32no—
808C22×D3—62no—
809C22×D3—62no—
810C22×D3—62no—
811C22×D3—62no—
812C22×D3—62no—
813C22×D3—68no—
814C22×D3—68no—
815C22×D3—68no—
816C22×D3—68no—
817C22×D3—68no—
818C22×D3—61no—
819C22×D3—61no—
820C22×D3—61no—
821C22×D3—61no—
822C22×D3—61no—
823C22×D3—61no—
824C22×D3—61no—
825C22×D3—61no—
826C22×D3—62no—
827C22×D3—62no—
828C22×D3—68no—
829C22×D3—68no—
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—61no—
850C22×D3—61no—
851C22×D3—61no—
852C22×D3—61no—
853C22×D3—61no—
854C22×D3—68no—
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—128no—
864C22×D3—121no—
865C22×D3—121no—
866C22×D3—121no—
867C22×D3—121no—
868C22×D3—121no—
869C22×D3—121no—
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×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—128no—
902C22×D3—128no—
903C22×D3—124no—
904C22×D3—124no—
905C22×D3—128no—
906C22×D3—128no—
907C22×D3—128no—
908C22×D3—128no—
909C22×D3—124no—
910C22×D3C2×D1212yes—
911C22×D3D3×D412yes—
912C22×D3D3×D412yes—
913C22×D3D3×D412yes—
914C22×D3D3×D412yescomplemented
915C3×D4—68no—
916C3×D4—68no—
917C3×D4—68no—
918C3×D4—124no—
919C2×C3×C4—21no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—22no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—22no—
931C2×C3×C4—32no—
932C2×C3×C4—32no—
933C2×C3×C4—32no—
934C2×C3×C4—41no—
935C2×C3×C4—41no—
936C2×C3×C4—41no—
937C2×C3×C4—41no—
938C2×C3×C4—68no—
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—
946C2×C3×C4—61no—
947C2×C3×C4—61no—
948C2×C3×C4—61no—
949C2×C3×C4—61no—
950C2×C3×C4—61no—
951C2×C3×C4D3×D412yescomplemented
952C2×C3×C4D3×D412yescomplemented
953#67—28no—
954#67—28no—
955#67—44no—
956#67—68no—
957#67—68no—
958#67—68no—
959#67—68no—
960#67—124no—
961#67—124no—
962#67—124no—
963#67—128no—
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—21no—
975C2×Dic3—21no—
976C2×Dic3—62no—
977C2×Dic3—61no—
978C2×Dic3—61no—
979C2×Dic3—61no—
980C2×Dic3—61no—
981C2×Dic3—61no—
982C2×Dic3—61no—
983C2×Dic3—121no—
984C2×Dic3—121no—
985C2×Dic3C2×D1212yescomplemented
986C2×Dic3D3×D412yescomplemented
987C2×Dic3D3×D412yescomplemented
988D12—28no—
989D12—68no—
990D12—68no—
991D12—68no—
992D12—68no—
993D12—68no—
994D12—68no—
995D12—128no—
996D12—124no—
997D12—124no—
998D12—128no—
999D12—124no—
1000C4×D3—28no—
1001C4×D3—68no—
1002C4×D3—68no—
1003C2×C32—42no—
1004C2×C32C2×#12011yescharacteristic
1005C2×C32C2×#12011yescharacteristic
1006C2×C32#53411yescharacteristic
1007C2×C32D4211yescharacteristic
1008C2×C32D4211yescharacteristic
1009C2×C32D4211yescharacteristic
1010C2×C32D4211yescharacteristic
1011C3⋊D3—24no—
1012C3⋊D3—42no—
1013C3⋊D3—42no—
1014C3×D3—24no—
1015C3×D3—42no—
1016C3×D3—42no—
1017C24—31no—
1018C24—31no—
1019C24—31no—
1020C24—94no—
1021C24—91no—
1022C24—91no—
1023C24—91no—
1024C24—182no—
1025C24—182no—
1026C24—182no—
1027C24—182no—
1028C24—182no—
1029C24—182no—
1030C24—182no—
1031C24—182no—
1032C24—182no—
1033C24—182no—
1034C24—182no—
1035C24—182no—
1036C24—182no—
1037C24—182no—
1038C24—361no—
1039C24—361no—
1040C24—361no—
1041C24—361no—
1042C24—361no—
1043C24—361no—
1044C24C2×D3211yescharacteristic
1045C2×D4—34no—
1046C2×D4—62no—
1047C2×D4—62no—
1048C2×D4—62no—
1049C2×D4—62no—
1050C2×D4—62no—
1051C2×D4—62no—
1052C2×D4—62no—
1053C2×D4—62no—
1054C2×D4—62no—
1055C2×D4—62no—
1056C2×D4—94no—
1057C2×D4—94no—
1058C2×D4—94no—
1059C2×D4—121no—
1060C2×D4—182no—
1061C2×D4—182no—
1062C2×D4—182no—
1063C2×D4—182no—
1064C2×D4—182no—
1065C2×D4—182no—
1066C2×D4—1832no—
1067C2×D4—182no—
1068C2×D4—182no—
1069C2×D4—182no—
1070C2×D4—182no—
1071C2×D4—182no—
1072C2×D4—182no—
1073C2×D4—182no—
1074C2×D4—182no—
1075C2×D4—182no—
1076C2×D4—182no—
1077C2×D4—1832no—
1078C2×D4—182no—
1079C2×D4—182no—
1080C2×D4—361no—
1081C2×D4—361no—
1082C2×D4—361no—
1083C22×C4—31no—
1084C22×C4—31no—
1085C22×C4—31no—
1086C22×C4—31no—
1087C22×C4—31no—
1088C22×C4—62no—
1089C22×C4—62no—
1090C22×C4—62no—
1091C22×C4—91no—
1092C22×C4—182no—
1093C22×C4—182no—
1094C22×C4—182no—
1095C22×C4C2×D3211yescharacteristic
1096C22×C4C2×D3211yescharacteristic
1097C22⋊C4—22no—
1098C22⋊C4—62no—
1099C22⋊C4—62no—
1100C22⋊C4—62no—
1101C22⋊C4—121no—
1102C22⋊C4—182no—
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—21no—
1119C22×C3—21no—
1120C22×C3—21no—
1121C22×C3—21no—
1122C22×C3—21no—
1123C22×C3—21no—
1124C22×C3—21no—
1125C22×C3—34no—
1126C22×C3—42no—
1127C22×C3—42no—
1128C22×C3—42no—
1129C22×C3—42no—
1130C22×C3—42no—
1131C22×C3—42no—
1132C22×C3—41no—
1133C22×C3—41no—
1134C22×C3—41no—
1135C22×C3—41no—
1136C22×C3—41no—
1137C22×C3—41no—
1138C22×C3—41no—
1139C22×C3—41no—
1140C22×C3—62no—
1141C22×C3—62no—
1142C22×C3—62no—
1143C22×C3—62no—
1144C22×C3—62no—
1145C22×C3—62no—
1146C22×C3—62no—
1147C22×C3—62no—
1148C22×C3—62no—
1149C22×C3—62no—
1150C22×C3—62no—
1151C22×C3—62no—
1152C22×C3—121no—
1153C22×C3—121no—
1154C22×C3—121no—
1155C22×C3—121no—
1156C22×C3—121no—
1157C22×C3—121no—
1158C22×C3—121no—
1159C22×C3—121no—
1160C22×C3C22×D1211yescharacteristic
1161C22×C3C2×D3×D411yescharacteristic
1162C22×C3C2×D3×D411yescharacteristic
1163C22×C3C2×D3×D411yescharacteristic
1164C22×C3C2×D3×D411yescharacteristic
1165C22×C3C2×D3×D411yescharacteristic
1166C22×C3C2×D3×D411yescharacteristic
1167C22×C3C2×D3×D411yescharacteristic
1168C22×C3C2×D3×D411yescharacteristic
1169C22×C3C2×D3×D411yescharacteristic
1170C22×C3#100411yescharacteristic
1171C22×C3#100911yescharacteristic
1172C22×C3#100911yescharacteristic
1173C22×C3#100911yescharacteristic
1174C2×D3—22no—
1175C2×D3—22no—
1176C2×D3—22no—
1177C2×D3—22no—
1178C2×D3—22no—
1179C2×D3—22no—
1180C2×D3—22no—
1181C2×D3—22no—
1182C2×D3—22no—
1183C2×D3—22no—
1184C2×D3—22no—
1185C2×D3—22no—
1186C2×D3—34no—
1187C2×D3—34no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—41no—
1191C2×D3—41no—
1192C2×D3—41no—
1193C2×D3—41no—
1194C2×D3—41no—
1195C2×D3—41no—
1196C2×D3—64no—
1197C2×D3—62no—
1198C2×D3—62no—
1199C2×D3—62no—
1200C2×D3—62no—
1201C2×D3—62no—
1202C2×D3—62no—
1203C2×D3—62no—
1204C2×D3—62no—
1205C2×D3—62no—
1206C2×D3—62no—
1207C2×D3—62no—
1208C2×D3—62no—
1209C2×D3—64no—
1210C2×D3—62no—
1211C2×D3—62no—
1212C2×D3—62no—
1213C2×D3—62no—
1214C2×D3—62no—
1215C2×D3—62no—
1216C2×D3—62no—
1217C2×D3—62no—
1218C2×D3—62no—
1219C2×D3—62no—
1220C2×D3—62no—
1221C2×D3—62no—
1222C2×D3—122no—
1223C2×D3—122no—
1224C2×D3—122no—
1225C2×D3—122no—
1226C2×D3—122no—
1227C2×D3—122no—
1228C2×D3—122no—
1229C2×D3—122no—
1230C2×D3—122no—
1231C2×D3—122no—
1232C2×D3—122no—
1233C2×D3—1216no—
1234C2×D3—1216no—
1235C2×D3—1216no—
1236C2×D3—1216no—
1237C2×D3—1216no—
1238C2×D3—1216no—
1239C2×D3—122no—
1240C2×D3—122no—
1241C2×D3—122no—
1242C2×D3—122no—
1243C2×D3—1232no—
1244C2×D3—121no—
1245C2×D3—121no—
1246C2×D3—121no—
1247C2×D3—121no—
1248C2×D3—121no—
1249C2×D3—121no—
1250C2×D3—121no—
1251C2×D3—121no—
1252C2×D3—121no—
1253C2×D3—121no—
1254C2×D3—121no—
1255C2×D3—121no—
1256C2×D3—121no—
1257C2×D3—121no—
1258C2×D3—121no—
1259C2×D3—121no—
1260C2×D3—241no—
1261C2×D3—241no—
1262C2×D3—241no—
1263C2×D3—241no—
1264C2×D3#88214yescomplemented
1265C3×C4—22no—
1266C3×C4—22no—
1267C3×C4—42no—
1268C3×C4—42no—
1269C3×C4—41no—
1270C3×C4—41no—
1271C3×C4—62no—
1272C3×C4—62no—
1273C3×C4—62no—
1274C3×C4—121no—
1275C3×C4—121no—
1276Dic3—22no—
1277Dic3—22no—
1278Dic3—22no—
1279Dic3—41no—
1280Dic3—41no—
1281Dic3—122no—
1282Dic3—121no—
1283Dic3—121no—
1284C32#240311yescharacteristic, complemented, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—32no—
1292C23—32no—
1293C23—32no—
1294C23—32no—
1295C23—32no—
1296C23—61no—
1297C23—61no—
1298C23—61no—
1299C23—61no—
1300C23—61no—
1301C23—61no—
1302C23—61no—
1303C23—61no—
1304C23—61no—
1305C23—61no—
1306C23—61no—
1307C23—61no—
1308C23—61no—
1309C23—61no—
1310C23—61no—
1311C23—61no—
1312C23—92no—
1313C23—92no—
1314C23—92no—
1315C23—92no—
1316C23—92no—
1317C23—188no—
1318C23—188no—
1319C23—188no—
1320C23—188no—
1321C23—181no—
1322C23—181no—
1323C23—181no—
1324C23—181no—
1325C23—181no—
1326C23—181no—
1327C23—181no—
1328C23—181no—
1329C23—181no—
1330C23—181no—
1331C23—181no—
1332C23—181no—
1333C23—181no—
1334C23—181no—
1335C23—181no—
1336C23—181no—
1337C23—364no—
1338C23—364no—
1339C23—364no—
1340C23—364no—
1341C23—364no—
1342C23—364no—
1343C23—364no—
1344C23—364no—
1345C23—364no—
1346C23—364no—
1347C23—364no—
1348C23—364no—
1349C23—364no—
1350C23—364no—
1351C23—364no—
1352C23—364no—
1353C23—364no—
1354C23D3×D1212yescomplemented
1355C23C22×D3211yescharacteristic
1356D4—68no—
1357D4—68no—
1358D4—68no—
1359D4—124no—
1360D4—188no—
1361D4—188no—
1362D4—188no—
1363D4—188no—
1364D4—188no—
1365D4—364no—
1366D4—364no—
1367D4—364no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—32no—
1374C2×C4—32no—
1375C2×C4—32no—
1376C2×C4—68no—
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—61no—
1387C2×C4—61no—
1388C2×C4—61no—
1389C2×C4—188no—
1390C2×C4—181no—
1391C2×C4—181no—
1392C2×C4—181no—
1393C2×C4#381112yescomplemented
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—64no—
1405C2×C3—122no—
1406C2×C3—122no—
1407C2×C3C2×#88211yescharacteristic
1408C2×C3D4×D1211yescharacteristic
1409C2×C3D4×D1211yescharacteristic
1410C2×C3D3×#12011yescharacteristic
1411C2×C3D3×#12011yescharacteristic
1412C2×C3D3×#12011yescharacteristic
1413C2×C3#559011yescharacteristic
1414C2×C3#560511yescharacteristic
1415C2×C3#560911yescharacteristic
1416C2×C3#560911yescharacteristic
1417C2×C3#560911yescharacteristic
1418C2×C3#560911yescharacteristic
1419C2×C3#565311yescharacteristic
1420C2×C3#571711yescharacteristic
1421D3—24no—
1422D3—42no—
1423D3—42no—
1424D3—64no—
1425D3—64no—
1426D3—124no—
1427D3—124no—
1428D3—122no—
1429D3—122no—
1430D3—122no—
1431D3—122no—
1432D3—242no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—34no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—62no—
1442C22—62no—
1443C22—62no—
1444C22—62no—
1445C22—62no—
1446C22—62no—
1447C22—62no—
1448C22—62no—
1449C22—62no—
1450C22—62no—
1451C22—62no—
1452C22—62no—
1453C22—94no—
1454C22—121no—
1455C22—121no—
1456C22—121no—
1457C22—121no—
1458C22—121no—
1459C22—121no—
1460C22—121no—
1461C22—121no—
1462C22—182no—
1463C22—182no—
1464C22—182no—
1465C22—182no—
1466C22—182no—
1467C22—182no—
1468C22—182no—
1469C22—182no—
1470C22—182no—
1471C22—182no—
1472C22—182no—
1473C22—182no—
1474C22—3616no—
1475C22—3616no—
1476C22—3616no—
1477C22—361no—
1478C22—361no—
1479C22—361no—
1480C22—361no—
1481C22—361no—
1482C22—361no—
1483C22—361no—
1484C22—361no—
1485C22C2×D3×D1211yescharacteristic
1486C22#6430811yescharacteristic
1487C22D32×D411yescharacteristic
1488C22D32×D411yescharacteristic
1489C22D32×D411yescharacteristic
1490C22#6431411yescharacteristic
1491C22C2×#381111yescharacteristic
1492C4—22no—
1493C4—41no—
1494C4—62no—
1495C4—62no—
1496C4—62no—
1497C4—121no—
1498C4—121no—
1499C4—361no—
1500C3—21no—
1501C3#7488411yescharacteristic, complemented
1502C3#7675311yescharacteristic, complemented
1503C2—42no—
1504C2—64no—
1505C2—122no—
1506C2—122no—
1507C2—184no—
1508C2—362no—
1509C2—362no—
1510C2D3×#88211yescharacteristic
1511C2#1059426411yescharacteristic
1512C2#1059427711yescharacteristic
1513C2#1059428411yescharacteristic
1514C2#1059507411yescharacteristic
1515C2#1059527811yescharacteristic
1516C2#1059529711yescharacteristic
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×#3811C2semidirect
2. C22×D3×D12C2semidirect
3. C2×#64091C2semidirect
4. C2×#63983C2semidirect
5. C2×#63981C2semidirect
6. C2×#63923C2semidirect
7. C3×#4960C2semidirect
8. C3×#4956C2semidirect
9. #10591724C2semidirect
10. #10591399C2semidirect
11. #10591395C2semidirect
12. #10591391C2semidirect
13. #10591382C2semidirect
14. #10591380C2semidirect
15. #10591275C2semidirect
18. C24×C3⋊D3C22semidirect
20. C23×D32C22semidirect
21. C22×#638C22semidirect
23. C22×C4⋊(C3⋊D3)C22semidirect
25. C22×C3×#67C22semidirect
26. C22×C3×#67C22semidirect
27. C22×C3×D12C22semidirect
28. C22×C3×C4×D3C22semidirect
34. C22×#626C22semidirect
35. C22×#626C22semidirect
36. C22×#626C22semidirect
37. C22×#624C22semidirect
41. C2×C32×C22⋊C4C22semidirect
42. C2×#3752C22semidirect
43. C2×#3752C22semidirect
45. C2×C3×#217C22semidirect
46. C2×C3×(C2×D3)⋊C4C22semidirect
47. C2×C3×(C2×D3)⋊C4C22semidirect
48. C2×C3×(C2×D3)⋊C4C22semidirect
51. C2×#3722C22semidirect
52. C2×#3722C22semidirect
53. C2×#3722C22semidirect
54. C2×#3722C22semidirect
55. C2×(C2×D3)⋊Dic3C22semidirect
56. C2×(C2×D3)⋊Dic3C22semidirect
57. C2×(C2×D3)⋊Dic3C22semidirect
59. C3×C3⋊#95C22semidirect
60. C3×C3⋊#95C22semidirect
61. C3×C3⋊#95C22semidirect
62. #63579C22semidirect
83. #4960D3semidirect
85. #4956D3semidirect
121. C22×D32D4semidirect
133. C2×C4⋊(C3⋊D3)D4semidirect
142. C2×C3×#67D4semidirect
168. C2×#626D4semidirect
169. C2×#626D4semidirect
210. C22×#67C2×D3semidirect
211. C22×#67C2×D3semidirect
235. C22×D12C2×D3semidirect
238. C22×C4×D3C2×D3semidirect
244. C2×C3×C22⋊C4C2×D3semidirect
245. C2×C3×C22⋊C4C2×D3semidirect
249. C2×#217C2×D3semidirect
270. C2×(C2×D3)⋊C4C2×D3semidirect
271. C2×(C2×D3)⋊C4C2×D3semidirect
272. C2×(C2×D3)⋊C4C2×D3semidirect
284. C3⋊#95C2×D3semidirect
285. C3⋊#95C2×D3semidirect
286. C3⋊#95C2×D3semidirect
293. C23×C32C2×D4semidirect
321. C22×C3⋊D3C2×D4semidirect
322. C22×C3⋊D3C2×D4semidirect
343. C22×C3×D3C2×D4semidirect
363. C2×C32×C4C2×D4semidirect
385. C2×C3×Dic3C2×D4semidirect
386. C2×C3×Dic3C2×D4semidirect
387. C2×C3×Dic3C2×D4semidirect
536. C2×#67D12semidirect
660. C2×C3⋊D3#120semidirect
681. C2×C3×D3#120semidirect
732. C2×C22⋊C4D32semidirect
778. C23×C3C2×D12semidirect
779. C23×C3D3×D4semidirect
914. C22×D3D3×D4semidirect
951. C2×C3×C4D3×D4semidirect
952. C2×C3×C4D3×D4semidirect
985. C2×Dic3C2×D12semidirect
986. C2×Dic3D3×D4semidirect
987. C2×Dic3D3×D4semidirect
1264. C2×D3#882semidirect
1284. C32#2403semidirect
1354. C23D3×D12semidirect
1393. C2×C4#3811semidirect
1501. C3#74884semidirect
1502. C3#76753semidirect

Maximal subgroups

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

subgroupindex
C22×#38112
C22×D3×D122
C2×#640912
C2×#639832
C2×#639812
C2×#639232
C3×#49602
C3×#49562
#105917242
#105913992
#105913952
#105913912
#105913822
#105913802
#105912752
#767533
#748843