Finite Group Databasebeta

← #11809002

Subgroups — #11809002

Order 1152.

3271 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×#67C211yesmaximal, characteristic, complemented
2C22×#3802C211yesmaximal, characteristic, complemented
3C2×C3×#882C211yesmaximal, characteristic, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63976C211yesmaximal, characteristic, complemented
6C2×#63922C211yesmaximal, characteristic, complemented
7#10592655C211yesmaximal, characteristic, complemented
8C3×#4960C211yesmaximal, characteristic, complemented
9#10591723C211yesmaximal, characteristic, complemented
10#10591399C211yesmaximal, characteristic, complemented
11#10591389C211yesmaximal, characteristic, complemented
12#10591389C211yesmaximal, characteristic, complemented
13#10591387C211yesmaximal, characteristic, complemented
14#10591376C211yesmaximal, characteristic, complemented
15#10591363C211yesmaximal, characteristic, complemented
16#82604—31nomaximal
17#76753—31nomaximal
18C24×C3×D3C2211yescharacteristic, complemented
19C23×D32C2211yescharacteristic
20C23×D32C2211yescharacteristic, complemented
21C22×#638C2211yescharacteristic
22C22×C4×C3⋊D3C2211yescharacteristic, complemented
23C22×C3×#67C2211yescharacteristic, complemented
24C22×C3×#67C2211yescharacteristic, complemented
25C22×C3×#67C2211yescharacteristic, complemented
26C22×C3×D12C2211yescharacteristic
27C22×C3×D12C2211yescharacteristic, complemented
28C22×C3×D12C2211yescharacteristic, complemented
29C2×D3×#67—24no—
30C2×D3×#67—24no—
31C2×D3×#67—24no—
32C22×#626C2211yescharacteristic
33C22×#625C2211yescharacteristic
34C22×#625C2211yescharacteristic, complemented
35C22×#625C2211yescharacteristic, complemented
36C22×#625C2211yescharacteristic, complemented
37C22×D3×Dic3C2211yescharacteristic, complemented
38C2×#3802—24no—
39C2×#3802—24no—
40C2×#3802—24no—
41C2×C32×C22⋊C4C2211yescharacteristic, complemented
42C2×#3757C2211yescharacteristic, complemented
43C2×#3752C2211yescharacteristic, complemented
44C2×C3×(C2×D3)⋊C4C2211yescharacteristic, 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#63976—24no—
51C2×#3722C2211yescharacteristic, complemented
52C2×(C2×D3)⋊Dic3C2211yescharacteristic, 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
60#63658C2211yescharacteristic, complemented
61C3×C3⋊#95C2211yescharacteristic, 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—31no—
73C2×#882—31no—
74C2×#882D311yescharacteristic, complemented
75C3×#392—31no—
76#5223—31no—
77#5223—31no—
78#5223—31no—
79#5223—31no—
80#5220—31no—
81#4960—31no—
82#4960—31no—
83#4960D311yescharacteristic, complemented
84#4958—31no—
85#4956—31no—
86#4956—31no—
87#4956—31no—
88#4956—31no—
89#4956—61no—
90#4955—31no—
91#4955—31no—
92#4665—31no—
93#4665—31no—
94C24×C32C2311yescharacteristic
95C23×C3⋊D3C2311yescharacteristic
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×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×#638D414yescomplemented
127C22×C3⋊Dic3C2311yescharacteristic
128C22×C3⋊Dic3C2311yescharacteristic
129C22×C3⋊Dic3C2311yescharacteristic
130C2×C4×C3⋊D3—22no—
131C2×C4×C3⋊D3—22no—
132C2×C4×C3⋊D3—22no—
133C2×C3×#67—22no—
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—41no—
141C2×C3×#67—41no—
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—22no—
150C2×C3×D12—22no—
151C2×C3×D12—22no—
152C2×C3×D12—41no—
153C2×C3×D12D414yescomplemented
154D3×#67—232no—
155C2×#626—22no—
156C2×#626—22no—
157C2×#626D414yescomplemented
158C2×#625—22no—
159C2×#625—22no—
160C2×#625—22no—
161C2×#625—22no—
162C2×#625—22no—
163C2×#625—22no—
164C2×#625—22no—
165C2×#625—22no—
166C2×#625—22no—
167C2×#625—22no—
168C2×#625—41no—
169C2×#625D414yescomplemented
170C2×D3×Dic3—22no—
171C2×D3×Dic3—22no—
172C2×D3×Dic3—22no—
173#3802—232no—
174C32×C22⋊C4—22no—
175#3757—22no—
176#3752—22no—
177C3×(C2×D3)⋊C4—22no—
178C3×(C2×D3)⋊C4—22no—
179C3×(C2×D3)⋊C4—22no—
180C3×(C2×D3)⋊C4—41no—
181#3722—22no—
182(C2×D3)⋊Dic3—22no—
183(C2×D3)⋊Dic3—22no—
184(C2×D3)⋊Dic3—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×D3C2×D311yescharacteristic, complemented
195C22×C3×D4—31no—
196C22×C3×D4—31no—
197C22×C3×D4—31no—
198C22×C3×D4—31no—
199C22×C3×D4—31no—
200C22×C3×D4—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—31no—
211C22×#67—31no—
212C22×#67—61no—
213C22×#67—64no—
214C22×#67—64no—
215C22×#67—64no—
216C22×#67C2×D311yescharacteristic, complemented
217C22×#67C2×D311yescharacteristic, complemented
218C22×#67C2×D311yescharacteristic, complemented
219C23×Dic3—31no—
220C2×D3×D4—64no—
221C2×D3×D4—64no—
222C2×D3×D4—64no—
223C2×D3×D4—64no—
224C2×D3×D4—64no—
225C2×D3×D4—64no—
226C2×D3×D4—64no—
227C2×D3×D4—64no—
228C2×D3×D4—64no—
229C22×D12—31no—
230C22×D12C2×D311yescharacteristic
231C22×D12C2×D311yescharacteristic, complemented
232C22×D12C2×D311yescharacteristic, complemented
233C22×C4×D3—31no—
234C22×C4×D3—31no—
235C22×C4×D3—31no—
236C22×C4×D3—61no—
237C3×#120—64no—
238C2×C3×C22⋊C4—21no—
239C2×C3×C22⋊C4—31no—
240C2×C3×C22⋊C4—31no—
241C2×C3×C22⋊C4—31no—
242C2×C3×C22⋊C4—31no—
243C2×C3×C22⋊C4C2×D311yescharacteristic, complemented
244C2×C3×C22⋊C4C2×D311yescharacteristic, complemented
245#953—64no—
246C2×#217—31no—
247C2×#217—31no—
248C2×#217—31no—
249C2×#217—31no—
250C2×#217—31no—
251C2×#217—31no—
252C2×#217—31no—
253C2×#217—31no—
254C2×#217—61no—
255#937—64no—
256#937—64no—
257#937—64no—
258#937—64no—
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)⋊C4C2×D311yescharacteristic, complemented
271C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
272C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
273C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
274#882—24no—
275#882—64no—
276C3×#95—31no—
277C3⋊#95—31no—
278C3⋊#95—31no—
279C3⋊#95—31no—
280C3⋊#95—31no—
281C3⋊#95—31no—
282C3⋊#95—31no—
283C3⋊#95—61no—
284C3⋊#95—61no—
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⋊D3C2×D412yes—
299C22×C3⋊D3C2×D412yes—
300C22×C3⋊D3C2×D412yes—
301C22×C3×D3—21no—
302C22×C3×D3—21no—
303C22×C3×D3—21no—
304C22×C3×D3—21no—
305C22×C3×D3—28no—
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—21no—
313C22×C3×D3—21no—
314C22×C3×D3—21no—
315C22×C3×D3—21no—
316C22×C3×D3—21no—
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—21no—
330C22×C3×D3—44no—
331C22×C3×D3—44no—
332C22×C3×D3—44no—
333C22×C3×D3—44no—
334C22×C3×D3—44no—
335C22×C3×D3—44no—
336C22×C3×D3C2×D412yes—
337C22×C3×D3C2×D412yes—
338C22×C3×D3C2×D412yes—
339C22×C3×D3C2×D412yes—
340C22×C3×D3C2×D412yescomplemented
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—
364C2×C3⋊Dic3—21no—
365C2×C3⋊Dic3—21no—
366C2×C3⋊Dic3—21no—
367C2×C3⋊Dic3—21no—
368C2×C3⋊Dic3—21no—
369C2×C3⋊Dic3—21no—
370C2×C3⋊Dic3—21no—
371C2×C3⋊Dic3C2×D412yescomplemented
372C2×C3⋊Dic3C2×D412yescomplemented
373C4×C3⋊D3—28no—
374C3×#67—28no—
375C3×#67—44no—
376C3×#67—44no—
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
386C3×D12—28no—
387C3×D12—28no—
388C3×D12—44no—
389#626—28no—
390#625—28no—
391#625—28no—
392#625—28no—
393#625—44no—
394D3×Dic3—28no—
395C23×D4—91no—
396C23×D4—91no—
397C2×#120—31no—
398C2×#120—91no—
399C2×#120—91no—
400C2×#120—91no—
401#392—31no—
402#392—91no—
403#392—91no—
404#392—91no—
405#386—91no—
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—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
425C23×D3—22no—
426C23×D3—22no—
427C23×D3—22no—
428C23×D3—22no—
429C23×D3—22no—
430C23×D3—31no—
431C23×D3—31no—
432C23×D3—34no—
433C23×D3—34no—
434C23×D3—41no—
435C23×D3—41no—
436C23×D3—61no—
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—62no—
455C23×D3—121no—
456C23×D3—121no—
457C23×D3—121no—
458C23×D3—121no—
459C23×D3—121no—
460C23×D3—121no—
461C23×D3—121no—
462C23×D3—121no—
463C23×D3C22×D311yescharacteristic
464C23×D3C22×D311yescharacteristic
465C23×D3C22×D311yescharacteristic
466C23×D3C22×D311yescharacteristic
467C23×D3C22×D311yescharacteristic
468C2×C3×D4—34no—
469C2×C3×D4—62no—
470C2×C3×D4—62no—
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—62no—
480C2×C3×D4—62no—
481C2×C3×D4—62no—
482C2×C3×D4—62no—
483C2×C3×D4—121no—
484C2×C3×D4—121no—
485C2×C3×D4—121no—
486C22×C3×C4—21no—
487C22×C3×C4—21no—
488C22×C3×C4—31no—
489C22×C3×C4—31no—
490C22×C3×C4—31no—
491C22×C3×C4C22×D311yescharacteristic
492C22×C3×C4C22×D311yescharacteristic
493C22×C3×C4C22×D311yescharacteristic
494C22×C3×C4C22×D311yescharacteristic
495C2×#67—22no—
496C2×#67—22no—
497C2×#67—22no—
498C2×#67—22no—
499C2×#67—22no—
500C2×#67—22no—
501C2×#67—22no—
502C2×#67—34no—
503C2×#67—34no—
504C2×#67—34no—
505C2×#67—34no—
506C2×#67—34no—
507C2×#67—41no—
508C2×#67—41no—
509C2×#67—64no—
510C2×#67—62no—
511C2×#67—62no—
512C2×#67—62no—
513C2×#67—62no—
514C2×#67—62no—
515C2×#67—62no—
516C2×#67—632no—
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—62no—
528C2×#67—62no—
529C2×#67—62no—
530C2×#67—62no—
531C2×#67—62no—
532C2×#67—62no—
533C2×#67—62no—
534C2×#67—62no—
535C2×#67—62no—
536C2×#67—62no—
537C2×#67—122no—
538C2×#67—122no—
539C2×#67—121no—
540C2×#67—121no—
541C22×Dic3—31no—
542C22×Dic3—31no—
543C22×Dic3—31no—
544C22×Dic3—31no—
545C22×Dic3—31no—
546C22×Dic3—31no—
547C22×Dic3—61no—
548C22×Dic3—61no—
549C22×Dic3—61no—
550C22×Dic3—62no—
551C22×Dic3—62no—
552C22×Dic3—62no—
553C22×Dic3C22×D311yescharacteristic
554C22×Dic3C22×D311yescharacteristic
555C22×Dic3C22×D311yescharacteristic
556D3×D4—632no—
557D3×D4—632no—
558D3×D4—632no—
559C2×D12—22no—
560C2×D12—22no—
561C2×D12—22no—
562C2×D12—22no—
563C2×D12—22no—
564C2×D12—22no—
565C2×D12—22no—
566C2×D12—34no—
567C2×D12—41no—
568C2×D12—62no—
569C2×D12—62no—
570C2×D12#6714yescomplemented
571C2×C4×D3—62no—
572C2×C4×D3—62no—
573C2×C4×D3—62no—
574C2×C4×D3—62no—
575C2×C4×D3—62no—
576C2×C4×D3—62no—
577C2×C4×D3—62no—
578C2×C4×D3—62no—
579C2×C4×D3—62no—
580C2×C4×D3—122no—
581C2×C4×D3—122no—
582C2×C4×D3—122no—
583C3×C22⋊C4—22no—
584C3×C22⋊C4—22no—
585C3×C22⋊C4—42no—
586C3×C22⋊C4—62no—
587C3×C22⋊C4—62no—
588C3×C22⋊C4—62no—
589C3×C22⋊C4—121no—
590#217—62no—
591#217—62no—
592#217—62no—
593#217—62no—
594#217—62no—
595#217—62no—
596#217—62no—
597#217—122no—
598#217—121no—
599(C2×D3)⋊C4—22no—
600(C2×D3)⋊C4—22no—
601(C2×D3)⋊C4—22no—
602(C2×D3)⋊C4—41no—
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—62no—
612(C2×D3)⋊C4—122no—
613(C2×D3)⋊C4—121no—
614C22×C32—22no—
615C22×C32—22no—
616C22×C32—22no—
617C22×C32—41no—
618C22×C32—41no—
619C22×C32—41no—
620C22×C32—41no—
621C22×C32C22×D411yescharacteristic
622C22×C32C22×D411yescharacteristic
623C22×C32C22×D411yescharacteristic
624C22×C32C22×D411yescharacteristic
625C22×C32C22×D411yescharacteristic
626C22×C32H(5,𝔽2)11yescharacteristic
627C22×C32H(5,𝔽2)11yescharacteristic
628C2×C3⋊D3—22no—
629C2×C3⋊D3—22no—
630C2×C3⋊D3—22no—
631C2×C3⋊D3—22no—
632C2×C3⋊D3—22no—
633C2×C3⋊D3—22no—
634C2×C3⋊D3#12014yescomplemented
635C2×C3×D3—22no—
636C2×C3×D3—22no—
637C2×C3×D3—22no—
638C2×C3×D3—22no—
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—22no—
652C2×C3×D3—22no—
653C2×C3×D3—416no—
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—41no—
661C2×C3×D3—41no—
662C2×C3×D3—41no—
663C2×C3×D3—41no—
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#12014yescomplemented
671D32—416no—
672D32—416no—
673C32×C4—22no—
674C32×C4—41no—
675C3⋊Dic3—22no—
676C3⋊Dic3—22no—
677C3⋊Dic3—41no—
678C3×Dic3—22no—
679C3×Dic3—41no—
680C3×Dic3—41no—
681C25—31no—
682C25—91no—
683C25—91no—
684C22×D4—31no—
685C22×D4—31no—
686C22×D4—31no—
687C22×D4—31no—
688C22×D4—31no—
689C22×D4—31no—
690C22×D4—91no—
691C22×D4—91no—
692C22×D4—91no—
693C22×D4—91no—
694C22×D4—91no—
695C22×D4—91no—
696C22×D4—184no—
697C22×D4—184no—
698C22×D4—184no—
699C22×D4—184no—
700C22×D4—184no—
701C22×D4—184no—
702C23×C4—91no—
703C23×C4—91no—
704#120—64no—
705#120—184no—
706#120—184no—
707#120—184no—
708C2×C22⋊C4—31no—
709C2×C22⋊C4—31no—
710C2×C22⋊C4—31no—
711C2×C22⋊C4—31no—
712C2×C22⋊C4—91no—
713C2×C22⋊C4—91no—
714C2×C22⋊C4—91no—
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⋊C4D3211yescharacteristic, complemented
722#95—31no—
723#95—91no—
724#95—91no—
725#95—91no—
726C23×C3—21no—
727C23×C3—21no—
728C23×C3—21no—
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—22no—
740C23×C3—32no—
741C23×C3—32no—
742C23×C3—32no—
743C23×C3—32no—
744C23×C3—32no—
745C23×C3—32no—
746C23×C3—32no—
747C23×C3—41no—
748C23×C3—41no—
749C23×C3—41no—
750C23×C3—41no—
751C23×C3—41no—
752C23×C3—41no—
753C23×C3—68no—
754C23×C3—61no—
755C23×C3—61no—
756C23×C3—61no—
757C23×C3—61no—
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—61no—
779C23×C3—61no—
780C23×C3—61no—
781C23×C3—61no—
782C23×C3—124no—
783C23×C3—124no—
784C23×C3—124no—
785C23×C3—124no—
786C23×C3—124no—
787C23×C3—124no—
788C23×C3D3×D412yescomplemented
789C23×C3D3×D412yescomplemented
790C23×C3C23×D311yescharacteristic
791C23×C3C23×D311yescharacteristic
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—21no—
810C22×D3—21no—
811C22×D3—21no—
812C22×D3—21no—
813C22×D3—21no—
814C22×D3—21no—
815C22×D3—21no—
816C22×D3—21no—
817C22×D3—21no—
818C22×D3—21no—
819C22×D3—21no—
820C22×D3—21no—
821C22×D3—32no—
822C22×D3—32no—
823C22×D3—32no—
824C22×D3—32no—
825C22×D3—32no—
826C22×D3—32no—
827C22×D3—44no—
828C22×D3—44no—
829C22×D3—44no—
830C22×D3—44no—
831C22×D3—44no—
832C22×D3—44no—
833C22×D3—62no—
834C22×D3—62no—
835C22×D3—62no—
836C22×D3—68no—
837C22×D3—68no—
838C22×D3—68no—
839C22×D3—68no—
840C22×D3—68no—
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—121no—
851C22×D3—121no—
852C22×D3—121no—
853C22×D3—121no—
854C22×D3—124no—
855C22×D3—124no—
856C22×D3—124no—
857C22×D3—124no—
858C22×D3—124no—
859C22×D3—124no—
860C22×D3—124no—
861C22×D3—124no—
862C22×D3—124no—
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×D3D3×D412yes—
877C22×D3D3×D412yes—
878C22×D3D3×D412yes—
879C22×D3D3×D412yescomplemented
880C22×D3D3×D412yescomplemented
881C22×D3C2×#6712yes—
882C22×D3C2×#6712yescomplemented
883C3×D4—68no—
884C3×D4—68no—
885C3×D4—68no—
886C3×D4—124no—
887C3×D4—124no—
888C3×D4—124no—
889C2×C3×C4—21no—
890C2×C3×C4—21no—
891C2×C3×C4—21no—
892C2×C3×C4—21no—
893C2×C3×C4—21no—
894C2×C3×C4—21no—
895C2×C3×C4—21no—
896C2×C3×C4—21no—
897C2×C3×C4—21no—
898C2×C3×C4—21no—
899C2×C3×C4—22no—
900C2×C3×C4—32no—
901C2×C3×C4—41no—
902C2×C3×C4—41no—
903C2×C3×C4—41no—
904C2×C3×C4—41no—
905C2×C3×C4—41no—
906C2×C3×C4—61no—
907C2×C3×C4—61no—
908C2×C3×C4—61no—
909C2×C3×C4—61no—
910C2×C3×C4—61no—
911C2×C3×C4—61no—
912C2×C3×C4—61no—
913C2×C3×C4—61no—
914C2×C3×C4D3×D412yescomplemented
915C2×C3×C4C2×#6712yescomplemented
916#67—28no—
917#67—44no—
918#67—44no—
919#67—68no—
920#67—68no—
921#67—68no—
922#67—68no—
923#67—68no—
924#67—68no—
925#67—68no—
926#67—68no—
927#67—68no—
928#67—128no—
929#67—124no—
930#67—124no—
931C2×Dic3—21no—
932C2×Dic3—21no—
933C2×Dic3—21no—
934C2×Dic3—21no—
935C2×Dic3—21no—
936C2×Dic3—21no—
937C2×Dic3—21no—
938C2×Dic3—21no—
939C2×Dic3—32no—
940C2×Dic3—32no—
941C2×Dic3—32no—
942C2×Dic3—32no—
943C2×Dic3—62no—
944C2×Dic3—62no—
945C2×Dic3—68no—
946C2×Dic3—61no—
947C2×Dic3—61no—
948C2×Dic3—61no—
949C2×Dic3—61no—
950C2×Dic3—61no—
951C2×Dic3—61no—
952C2×Dic3—61no—
953C2×Dic3—61no—
954C2×Dic3—61no—
955C2×Dic3—61no—
956C2×Dic3—61no—
957C2×Dic3—61no—
958C2×Dic3—61no—
959C2×Dic3—61no—
960C2×Dic3—121no—
961C2×Dic3—121no—
962C2×Dic3—121no—
963C2×Dic3—121no—
964C2×Dic3—121no—
965C2×Dic3—121no—
966C2×Dic3—121no—
967C2×Dic3D3×D412yescomplemented
968D12—28no—
969D12—28no—
970D12—44no—
971D12—68no—
972C4×D3—68no—
973C4×D3—68no—
974C4×D3—68no—
975C4×D3—128no—
976C2×C32—42no—
977C2×C32C2×#12011yescharacteristic
978C2×C32C2×#12011yescharacteristic
979C2×C32#53411yescharacteristic
980C2×C32D4211yescharacteristic
981C2×C32D4211yescharacteristic
982C2×C32D4211yescharacteristic
983C2×C32D4211yescharacteristic
984C3⋊D3—24no—
985C3×D3—24no—
986C3×D3—42no—
987C3×D3—42no—
988C3×D3—42no—
989C3×D3—42no—
990C24—31no—
991C24—31no—
992C24—31no—
993C24—31no—
994C24—31no—
995C24—62no—
996C24—62no—
997C24—62no—
998C24—62no—
999C24—62no—
1000C24—94no—
1001C24—91no—
1002C24—121no—
1003C24—121no—
1004C24—182no—
1005C24—182no—
1006C24—182no—
1007C24—182no—
1008C24—182no—
1009C24—182no—
1010C24—182no—
1011C24—182no—
1012C24—182no—
1013C24—361no—
1014C24—361no—
1015C24—361no—
1016C24—361no—
1017C24C2×D3211yescharacteristic
1018C2×D4—34no—
1019C2×D4—62no—
1020C2×D4—62no—
1021C2×D4—62no—
1022C2×D4—62no—
1023C2×D4—62no—
1024C2×D4—62no—
1025C2×D4—62no—
1026C2×D4—62no—
1027C2×D4—62no—
1028C2×D4—62no—
1029C2×D4—62no—
1030C2×D4—62no—
1031C2×D4—62no—
1032C2×D4—62no—
1033C2×D4—94no—
1034C2×D4—94no—
1035C2×D4—94no—
1036C2×D4—121no—
1037C2×D4—121no—
1038C2×D4—121no—
1039C2×D4—182no—
1040C2×D4—182no—
1041C2×D4—182no—
1042C2×D4—182no—
1043C2×D4—1832no—
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—182no—
1055C2×D4—361no—
1056C22×C4—31no—
1057C22×C4—31no—
1058C22×C4—31no—
1059C22×C4—91no—
1060C22×C4—91no—
1061C22×C4—91no—
1062C22×C4—182no—
1063C22×C4—182no—
1064C22×C4—182no—
1065C22×C4—182no—
1066C22×C4—182no—
1067C22×C4—182no—
1068C22×C4C2×D3211yescharacteristic
1069C22×C4C2×D3211yescharacteristic
1070C22⋊C4—22no—
1071C22⋊C4—62no—
1072C22⋊C4—62no—
1073C22⋊C4—62no—
1074C22⋊C4—121no—
1075C22⋊C4—182no—
1076C22⋊C4—182no—
1077C22⋊C4—182no—
1078C22⋊C4—182no—
1079C22⋊C4—182no—
1080C22⋊C4—182no—
1081C22⋊C4—182no—
1082C22⋊C4—182no—
1083C22⋊C4—361no—
1084C22×C3—22no—
1085C22×C3—22no—
1086C22×C3—22no—
1087C22×C3—22no—
1088C22×C3—22no—
1089C22×C3—22no—
1090C22×C3—21no—
1091C22×C3—21no—
1092C22×C3—21no—
1093C22×C3—21no—
1094C22×C3—21no—
1095C22×C3—21no—
1096C22×C3—21no—
1097C22×C3—34no—
1098C22×C3—42no—
1099C22×C3—42no—
1100C22×C3—42no—
1101C22×C3—41no—
1102C22×C3—41no—
1103C22×C3—41no—
1104C22×C3—41no—
1105C22×C3—41no—
1106C22×C3—41no—
1107C22×C3—41no—
1108C22×C3—41no—
1109C22×C3—62no—
1110C22×C3—62no—
1111C22×C3—62no—
1112C22×C3—62no—
1113C22×C3—62no—
1114C22×C3—62no—
1115C22×C3—62no—
1116C22×C3—62no—
1117C22×C3—62no—
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—81no—
1128C22×C3—81no—
1129C22×C3—81no—
1130C22×C3—81no—
1131C22×C3—1216no—
1132C22×C3—121no—
1133C22×C3—121no—
1134C22×C3—121no—
1135C22×C3—121no—
1136C22×C3—121no—
1137C22×C3—121no—
1138C22×C3—121no—
1139C22×C3—121no—
1140C22×C3—121no—
1141C22×C3—121no—
1142C22×C3—121no—
1143C22×C3—121no—
1144C22×C3—121no—
1145C22×C3—121no—
1146C22×C3—121no—
1147C22×C3—121no—
1148C22×C3C2×D3×D411yescharacteristic
1149C22×C3C2×D3×D411yescharacteristic
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×C3#100411yescharacteristic
1158C22×C3#100411yescharacteristic
1159C22×C3#100411yescharacteristic
1160C22×C3#100911yescharacteristic
1161C22×C3C22×#6711yescharacteristic
1162C2×D3—22no—
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—34no—
1181C2×D3—34no—
1182C2×D3—416no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
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—41no—
1197C2×D3—41no—
1198C2×D3—41no—
1199C2×D3—64no—
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—62no—
1210C2×D3—62no—
1211C2×D3—62no—
1212C2×D3—122no—
1213C2×D3—122no—
1214C2×D3—122no—
1215C2×D3—122no—
1216C2×D3—122no—
1217C2×D3—122no—
1218C2×D3—1216no—
1219C2×D3—1216no—
1220C2×D3—1216no—
1221C2×D3—1216no—
1222C2×D3#93714yescomplemented
1223C3×C4—22no—
1224C3×C4—22no—
1225C3×C4—42no—
1226C3×C4—41no—
1227C3×C4—41no—
1228C3×C4—62no—
1229C3×C4—81no—
1230C3×C4—121no—
1231C3×C4—121no—
1232Dic3—22no—
1233Dic3—41no—
1234Dic3—41no—
1235Dic3—62no—
1236Dic3—62no—
1237Dic3—62no—
1238Dic3—62no—
1239Dic3—122no—
1240Dic3—122no—
1241Dic3—121no—
1242Dic3—121no—
1243Dic3—241no—
1244C32#240311yescharacteristic, complemented, Sylow
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—32no—
1252C23—32no—
1253C23—32no—
1254C23—32no—
1255C23—32no—
1256C23—32no—
1257C23—32no—
1258C23—68no—
1259C23—61no—
1260C23—61no—
1261C23—61no—
1262C23—61no—
1263C23—61no—
1264C23—61no—
1265C23—61no—
1266C23—61no—
1267C23—61no—
1268C23—61no—
1269C23—61no—
1270C23—61no—
1271C23—61no—
1272C23—61no—
1273C23—61no—
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—92no—
1288C23—92no—
1289C23—92no—
1290C23—124no—
1291C23—124no—
1292C23—124no—
1293C23—124no—
1294C23—124no—
1295C23—124no—
1296C23—188no—
1297C23—188no—
1298C23—188no—
1299C23—181no—
1300C23—181no—
1301C23—181no—
1302C23—181no—
1303C23—364no—
1304C23—364no—
1305C23—364no—
1306C23—364no—
1307C23—364no—
1308C23—364no—
1309C23—364no—
1310C23—364no—
1311C23—364no—
1312C23—364no—
1313C23—364no—
1314C23#380212yescomplemented
1315C23C22×D3211yescharacteristic
1316D4—68no—
1317D4—68no—
1318D4—68no—
1319D4—124no—
1320D4—124no—
1321D4—124no—
1322D4—188no—
1323D4—188no—
1324D4—188no—
1325D4—188no—
1326D4—188no—
1327D4—364no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—32no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—61no—
1342C2×C4—92no—
1343C2×C4—92no—
1344C2×C4—188no—
1345C2×C4—188no—
1346C2×C4—181no—
1347C2×C4—181no—
1348C2×C4—181no—
1349C2×C4—181no—
1350C2×C4—181no—
1351C2×C4—181no—
1352C2×C4—181no—
1353C2×C4D3×#6712yescomplemented
1354C2×C3—21no—
1355C2×C3—21no—
1356C2×C3—21no—
1357C2×C3—21no—
1358C2×C3—21no—
1359C2×C3—21no—
1360C2×C3—21no—
1361C2×C3—42no—
1362C2×C3—42no—
1363C2×C3—64no—
1364C2×C3—82no—
1365C2×C3—122no—
1366C2×C3—122no—
1367C2×C3—122no—
1368C2×C3—122no—
1369C2×C3D3×#12011yescharacteristic
1370C2×C3D3×#12011yescharacteristic
1371C2×C3D3×#12011yescharacteristic
1372C2×C3#558911yescharacteristic
1373C2×C3#559011yescharacteristic
1374C2×C3#559011yescharacteristic
1375C2×C3#559011yescharacteristic
1376C2×C3#560511yescharacteristic
1377C2×C3#560911yescharacteristic
1378C2×C3#560911yescharacteristic
1379C2×C3#571711yescharacteristic
1380C2×C3C2×#93711yescharacteristic
1381C2×C3D4×#6711yescharacteristic
1382C2×C3D4×#6711yescharacteristic
1383D3—24no—
1384D3—42no—
1385D3—42no—
1386D3—42no—
1387D3—42no—
1388D3—64no—
1389D3—64no—
1390D3—124no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—34no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—62no—
1400C22—62no—
1401C22—62no—
1402C22—62no—
1403C22—62no—
1404C22—62no—
1405C22—62no—
1406C22—62no—
1407C22—62no—
1408C22—62no—
1409C22—62no—
1410C22—62no—
1411C22—62no—
1412C22—62no—
1413C22—62no—
1414C22—62no—
1415C22—62no—
1416C22—62no—
1417C22—94no—
1418C22—1216no—
1419C22—121no—
1420C22—121no—
1421C22—121no—
1422C22—121no—
1423C22—121no—
1424C22—121no—
1425C22—121no—
1426C22—121no—
1427C22—121no—
1428C22—121no—
1429C22—121no—
1430C22—121no—
1431C22—121no—
1432C22—121no—
1433C22—121no—
1434C22—121no—
1435C22—182no—
1436C22—182no—
1437C22—182no—
1438C22—182no—
1439C22—182no—
1440C22—182no—
1441C22—3616no—
1442C22—3616no—
1443C22C2×#380211yescharacteristic
1444C22#6430711yescharacteristic
1445C22D32×D411yescharacteristic
1446C22D32×D411yescharacteristic
1447C22D32×D411yescharacteristic
1448C22#6431311yescharacteristic
1449C22C2×D3×#6711yescharacteristic
1450C4—22no—
1451C4—41no—
1452C4—62no—
1453C4—121no—
1454C4—121no—
1455C4—182no—
1456C4—182no—
1457C4—361no—
1458C3—21no—
1459C3#7675311yescharacteristic, complemented
1460C3#8260411yescharacteristic, complemented
1461C2—42no—
1462C2—64no—
1463C2—122no—
1464C2—122no—
1465C2—122no—
1466C2—122no—
1467C2—184no—
1468C2#1059425811yescharacteristic
1469C2#1059426311yescharacteristic
1470C2#1059427111yescharacteristic
1471C2#1059427511yescharacteristic
1472C2#1059506911yescharacteristic
1473C2D3×#93711yescharacteristic
1474C2#1059529311yescharacteristic
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×#3802C2semidirect
3. C2×C3×#882C2semidirect
4. C2×#63983C2semidirect
5. C2×#63976C2semidirect
6. C2×#63922C2semidirect
7. #10592655C2semidirect
8. C3×#4960C2semidirect
9. #10591723C2semidirect
10. #10591399C2semidirect
11. #10591389C2semidirect
12. #10591389C2semidirect
13. #10591387C2semidirect
14. #10591376C2semidirect
15. #10591363C2semidirect
18. C24×C3×D3C22semidirect
20. C23×D32C22semidirect
22. C22×C4×C3⋊D3C22semidirect
23. C22×C3×#67C22semidirect
24. C22×C3×#67C22semidirect
25. C22×C3×#67C22semidirect
27. C22×C3×D12C22semidirect
28. C22×C3×D12C22semidirect
34. C22×#625C22semidirect
35. C22×#625C22semidirect
36. C22×#625C22semidirect
37. C22×D3×Dic3C22semidirect
41. C2×C32×C22⋊C4C22semidirect
42. C2×#3757C22semidirect
43. C2×#3752C22semidirect
44. C2×C3×(C2×D3)⋊C4C22semidirect
45. C2×C3×(C2×D3)⋊C4C22semidirect
46. C2×C3×(C2×D3)⋊C4C22semidirect
47. C2×C3×(C2×D3)⋊C4C22semidirect
51. C2×#3722C22semidirect
52. C2×(C2×D3)⋊Dic3C22semidirect
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. #63658C22semidirect
61. C3×C3⋊#95C22semidirect
62. #63579C22semidirect
74. C2×#882D3semidirect
83. #4960D3semidirect
121. C22×D32D4semidirect
126. C2×#638D4semidirect
153. C2×C3×D12D4semidirect
157. C2×#626D4semidirect
169. C2×#625D4semidirect
194. C24×D3C2×D3semidirect
216. C22×#67C2×D3semidirect
217. C22×#67C2×D3semidirect
218. C22×#67C2×D3semidirect
231. C22×D12C2×D3semidirect
232. C22×D12C2×D3semidirect
243. C2×C3×C22⋊C4C2×D3semidirect
244. C2×C3×C22⋊C4C2×D3semidirect
270. C2×(C2×D3)⋊C4C2×D3semidirect
271. C2×(C2×D3)⋊C4C2×D3semidirect
272. C2×(C2×D3)⋊C4C2×D3semidirect
273. C2×(C2×D3)⋊C4C2×D3semidirect
285. C3⋊#95C2×D3semidirect
292. C23×C32C2×D4semidirect
340. C22×C3×D3C2×D4semidirect
341. C22×C3×D3C2×D4semidirect
342. C22×C3×D3C2×D4semidirect
362. C2×C32×C4C2×D4semidirect
371. C2×C3⋊Dic3C2×D4semidirect
372. C2×C3⋊Dic3C2×D4semidirect
385. C2×C3×Dic3C2×D4semidirect
570. C2×D12#67semidirect
634. C2×C3⋊D3#120semidirect
670. C2×C3×D3#120semidirect
721. C2×C22⋊C4D32semidirect
788. C23×C3D3×D4semidirect
789. C23×C3D3×D4semidirect
879. C22×D3D3×D4semidirect
880. C22×D3D3×D4semidirect
882. C22×D3C2×#67semidirect
914. C2×C3×C4D3×D4semidirect
915. C2×C3×C4C2×#67semidirect
967. C2×Dic3D3×D4semidirect
1222. C2×D3#937semidirect
1244. C32#2403semidirect
1314. C23#3802semidirect
1353. C2×C4D3×#67semidirect
1459. C3#76753semidirect
1460. 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×#38022
C2×C3×#8822
C2×#639832
C2×#639762
C2×#639222
#105926552
C3×#49602
#105917232
#105913992
#105913892
#105913872
#105913762
#105913632
#826043
#767533