Finite Group Databasebeta

← #10731722

Subgroups — #10731722

Order 768.

3458 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#939C211yesmaximal, characteristic, complemented
2C22×#884C211yesmaximal, characteristic, complemented
3C22×#67⋊C4C211yesmaximal, characteristic, complemented
4C2×#5223C211yesmaximal, characteristic, complemented
5C2×#4960C211yesmaximal, characteristic, complemented
6C2×#4957C211yesmaximal, characteristic, complemented
7C2×#4942C211yesmaximal, characteristic, complemented
8C2×#4667C211yesmaximal, characteristic, complemented
9C3×#1438C211yesmaximal, characteristic, complemented
10#71550C211yesmaximal, characteristic, complemented
11#71550C211yesmaximal, characteristic, complemented
12#71547C211yesmaximal, characteristic, complemented
13#69428C211yesmaximal, characteristic, complemented
14#69426C211yesmaximal, characteristic, complemented
15Dic3⋊#95C211yesmaximal, characteristic, complemented
16#15123—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C23×#67C2211yescharacteristic
21C23×#67C2211yescharacteristic
22C24×Dic3C2211yescharacteristic
23C23×D12C2211yescharacteristic
24C23×C4×D3C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×C3×C22⋊C4C2211yescharacteristic
28C22×C3×C22⋊C4C2211yescharacteristic
29C22×#217C2211yescharacteristic
30C22×#217C2211yescharacteristic
31C22×#217C2211yescharacteristic
32C2×#939—24no—
33C2×#939—24no—
34C2×#939—24no—
35C22×(C2×D3)⋊C4C2211yescharacteristic
36C22×(C2×D3)⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×Dic3⋊C4C2211yescharacteristic
43C22×Dic3⋊C4C2211yescharacteristic
44C22×Dic3⋊C4C2211yescharacteristic
45C22×Dic3⋊C4C2211yescharacteristic
46C22×C4×Dic3C2211yescharacteristic
47C2×#884—24no—
48C2×#884—24no—
49C2×#884—24no—
50C2×#67⋊C4—24no—
51C2×#67⋊C4—24no—
52C2×#67⋊C4—24no—
53C2×C3×#95C2211yescharacteristic
54C2×C3×#95C2211yescharacteristic
55#5223—24no—
56C2×C3⋊#95C2211yescharacteristic
57C2×C3⋊#95C2211yescharacteristic
58C2×C3⋊#95C2211yescharacteristic
59C2×C3⋊#95C2211yescharacteristic
60C2×C3⋊#95C2211yescharacteristic
61C2×C3⋊#95C2211yescharacteristic
62#4960—24no—
63#4957—24no—
64#4942—24no—
65#4667—24no—
66C22×#121—31no—
67C22×#121—31no—
68C22×C4×D4—31no—
69C2×#392—31no—
70C2×#392—31no—
71C2×#390—31no—
72C2×#380—31no—
73C2×#380—31no—
74#1439—31no—
75#1439—31no—
76#1438—31no—
77#1438—31no—
78#1438—31no—
79#1438D311yescharacteristic, complemented
80C4⋊#95—31no—
81C25×C3C2311yescharacteristic
82C25×C3C2311yescharacteristic
83C24×D3C2311yescharacteristic
84C24×D3C2311yescharacteristic
85C22×C3×D4—22no—
86C22×C3×D4—22no—
87C22×C3×D4—22no—
88C22×C3×D4—22no—
89C22×C3×D4—22no—
90C22×C3×D4—41no—
91C22×C3×D4—41no—
92C23×C3×C4C2311yescharacteristic
93C23×C3×C4C2311yescharacteristic
94C23×C3×C4C2311yescharacteristic
95C23×C3×C4C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C22×#67—22no—
98C22×#67—22no—
99C22×#67—22no—
100C22×#67—22no—
101C22×#67—22no—
102C22×#67—22no—
103C22×#67—22no—
104C22×#67—22no—
105C22×#67—22no—
106C22×#67—22no—
107C22×#67—22no—
108C22×#67—22no—
109C22×#67—22no—
110C22×#67—22no—
111C22×#67—22no—
112C22×#67—22no—
113C22×#67—22no—
114C22×#67—22no—
115C22×#67—22no—
116C22×#67—22no—
117C22×#67—22no—
118C22×#67—22no—
119C22×#67—41no—
120C22×#67—41no—
121C22×#67—41no—
122C22×#67—41no—
123C22×#67D414yescomplemented
124C22×#67D414yescomplemented
125C23×Dic3—22no—
126C23×Dic3—22no—
127C23×Dic3—22no—
128C23×Dic3—22no—
129C23×Dic3—22no—
130C23×Dic3—22no—
131C23×Dic3D414yescomplemented
132C23×Dic3C2311yescharacteristic
133C23×Dic3C2311yescharacteristic
134C23×Dic3C2311yescharacteristic
135C23×Dic3C2311yescharacteristic
136C23×Dic3C2311yescharacteristic
137C23×Dic3C2311yescharacteristic
138C22×D12—22no—
139C22×D12—22no—
140C22×D12—22no—
141C22×D12—22no—
142C22×D12—22no—
143C22×D12—41no—
144C22×D12—41no—
145C22×C4×D3—22no—
146C22×C4×D3—22no—
147C22×C4×D3—22no—
148C22×C4×D3—22no—
149C22×C4×D3—22no—
150C22×C4×D3—22no—
151C22×C4×D3D414yescomplemented
152C2×C3×C22⋊C4—22no—
153C2×C3×C22⋊C4—22no—
154C2×C3×C22⋊C4—22no—
155C2×C3×C22⋊C4—22no—
156C2×C3×C22⋊C4—22no—
157C2×C3×C22⋊C4—22no—
158C2×C3×C22⋊C4—22no—
159C2×C3×C22⋊C4—22no—
160C2×C3×C22⋊C4—22no—
161C2×C3×C22⋊C4—41no—
162C2×C3×C22⋊C4—41no—
163C2×C3×C22⋊C4—41no—
164C2×#217—22no—
165C2×#217—22no—
166C2×#217—22no—
167C2×#217—22no—
168C2×#217—22no—
169C2×#217—22no—
170C2×#217—22no—
171C2×#217—22no—
172C2×#217—41no—
173#939—232no—
174C2×(C2×D3)⋊C4—22no—
175C2×(C2×D3)⋊C4—22no—
176C2×(C2×D3)⋊C4—22no—
177C2×(C2×D3)⋊C4—22no—
178C2×(C2×D3)⋊C4—22no—
179C2×(C2×D3)⋊C4—22no—
180C2×(C2×D3)⋊C4—22no—
181C2×(C2×D3)⋊C4—22no—
182C2×(C2×D3)⋊C4—22no—
183C2×(C2×D3)⋊C4—22no—
184C2×(C2×D3)⋊C4—22no—
185C2×(C2×D3)⋊C4—22no—
186C2×(C2×D3)⋊C4—22no—
187C2×(C2×D3)⋊C4—22no—
188C2×(C2×D3)⋊C4—22no—
189C2×(C2×D3)⋊C4—22no—
190C2×(C2×D3)⋊C4—22no—
191C2×(C2×D3)⋊C4—41no—
192C2×(C2×D3)⋊C4—41no—
193C2×(C2×D3)⋊C4—41no—
194C2×(C2×D3)⋊C4—41no—
195C2×Dic3⋊C4—22no—
196C2×Dic3⋊C4—22no—
197C2×Dic3⋊C4—22no—
198C2×Dic3⋊C4—22no—
199C2×Dic3⋊C4—22no—
200C2×Dic3⋊C4—22no—
201C2×Dic3⋊C4—22no—
202C2×Dic3⋊C4—22no—
203C2×Dic3⋊C4—22no—
204C2×Dic3⋊C4—22no—
205C2×Dic3⋊C4D414yescomplemented
206C2×Dic3⋊C4D414yescomplemented
207C2×C4×Dic3—22no—
208C2×C4×Dic3—22no—
209C2×C4×Dic3D414yescomplemented
210#884—232no—
211#67⋊C4—232no—
212C3×#95—22no—
213C3×#95—41no—
214C3⋊#95—22no—
215C3⋊#95—22no—
216C3⋊#95—22no—
217C3⋊#95—22no—
218C3⋊#95—22no—
219C3⋊#95—41no—
220C23×D4—31no—
221C23×D4—31no—
222C23×D4—31no—
223C23×D4—31no—
224C23×D4—31no—
225C23×D4C2×D311yescharacteristic
226C24×C4—31no—
227C24×C4—31no—
228C2×#121—64no—
229C2×#121—64no—
230C2×#121—64no—
231C2×#121—64no—
232C2×#121—64no—
233C2×#121—64no—
234C2×C4×D4—64no—
235C2×C4×D4—64no—
236C2×C4×D4—64no—
237C22×C4⋊C4—31no—
238C22×C4⋊C4—31no—
239C22×C4⋊C4—31no—
240C22×C4⋊C4—31no—
241C22×C22⋊C4—31no—
242C22×C22⋊C4—31no—
243C22×C22⋊C4—31no—
244C22×C22⋊C4—31no—
245C22×C22⋊C4—31no—
246C22×C22⋊C4—31no—
247C22×C22⋊C4—31no—
248C22×C22⋊C4—31no—
249C22×C22⋊C4—31no—
250C22×C22⋊C4—31no—
251C22×C22⋊C4C2×D311yescharacteristic
252C22×C22⋊C4C2×D311yescharacteristic
253C22×C22⋊C4C2×D311yescharacteristic
254C22×C22⋊C4C2×D311yescharacteristic
255C22×C42—31no—
256#392—64no—
257#392—64no—
258#390—64no—
259#380—64no—
260#380—64no—
261C2×#95—31no—
262C2×#95—31no—
263C2×#95—31no—
264C2×#95—31no—
265C2×#95—31no—
266C2×#95—31no—
267C2×#95C2×D311yescharacteristic
268C2×#95C2×D311yescharacteristic
269C24×C3—21no—
270C24×C3—21no—
271C24×C3—21no—
272C24×C3—21no—
273C24×C3—21no—
274C24×C3—21no—
275C24×C3—21no—
276C24×C3—21no—
277C24×C3—21no—
278C24×C3—21no—
279C24×C3—21no—
280C24×C3—21no—
281C24×C3—21no—
282C24×C3—21no—
283C24×C3—21no—
284C24×C3—21no—
285C24×C3—21no—
286C24×C3—21no—
287C24×C3—21no—
288C24×C3—21no—
289C24×C3—21no—
290C24×C3—21no—
291C24×C3—21no—
292C24×C3—21no—
293C24×C3—21no—
294C24×C3—21no—
295C24×C3C2×D412yes—
296C24×C3C2×D412yes—
297C24×C3C2×D412yes—
298C24×C3#4112yes—
299C24×C3C2411yescharacteristic
300C23×D3—21no—
301C23×D3—21no—
302C23×D3—21no—
303C23×D3—21no—
304C23×D3—21no—
305C23×D3—21no—
306C23×D3—21no—
307C23×D3—21no—
308C23×D3—21no—
309C23×D3—21no—
310C23×D3—21no—
311C23×D3—21no—
312C23×D3—21no—
313C23×D3—21no—
314C23×D3—21no—
315C23×D3—21no—
316C23×D3—21no—
317C23×D3—21no—
318C23×D3—21no—
319C23×D3—21no—
320C23×D3—21no—
321C23×D3—21no—
322C23×D3—21no—
323C23×D3—21no—
324C23×D3—21no—
325C23×D3—21no—
326C23×D3C2×D412yes—
327C23×D3C2×D412yes—
328C23×D3C2×D412yes—
329C23×D3#4112yes—
330C2×C3×D4—28no—
331C2×C3×D4—44no—
332C2×C3×D4—44no—
333C2×C3×D4—44no—
334C2×C3×D4—44no—
335C2×C3×D4—44no—
336C2×C3×D4—44no—
337C22×C3×C4—21no—
338C22×C3×C4—21no—
339C22×C3×C4—21no—
340C22×C3×C4—21no—
341C22×C3×C4—21no—
342C22×C3×C4—21no—
343C22×C3×C4—21no—
344C22×C3×C4—21no—
345C22×C3×C4—21no—
346C22×C3×C4—21no—
347C22×C3×C4—21no—
348C22×C3×C4—21no—
349C22×C3×C4—21no—
350C22×C3×C4—21no—
351C22×C3×C4—21no—
352C22×C3×C4—21no—
353C22×C3×C4—21no—
354C22×C3×C4—21no—
355C22×C3×C4—21no—
356C22×C3×C4—21no—
357C22×C3×C4—21no—
358C22×C3×C4—21no—
359C22×C3×C4—21no—
360C22×C3×C4—21no—
361C22×C3×C4—21no—
362C22×C3×C4—21no—
363C22×C3×C4—21no—
364C22×C3×C4—21no—
365C22×C3×C4—21no—
366C22×C3×C4—21no—
367C22×C3×C4—21no—
368C22×C3×C4C2×D412yes—
369C22×C3×C4C2×D412yes—
370C22×C3×C4C2×D412yes—
371C22×C3×C4C2×D412yes—
372C2×#67—28no—
373C2×#67—28no—
374C2×#67—28no—
375C2×#67—28no—
376C2×#67—28no—
377C2×#67—28no—
378C2×#67—28no—
379C2×#67—28no—
380C2×#67—28no—
381C2×#67—28no—
382C2×#67—28no—
383C2×#67—28no—
384C2×#67—44no—
385C2×#67—44no—
386C2×#67—44no—
387C2×#67—44no—
388C2×#67—44no—
389C2×#67—44no—
390C2×#67—44no—
391C2×#67—44no—
392C2×#67—44no—
393C2×#67—44no—
394C2×#67—44no—
395C2×#67—44no—
396C2×#67—44no—
397C2×#67—44no—
398C2×#67—44no—
399C2×#67—44no—
400C22×Dic3—21no—
401C22×Dic3—21no—
402C22×Dic3—21no—
403C22×Dic3—21no—
404C22×Dic3—21no—
405C22×Dic3—21no—
406C22×Dic3—21no—
407C22×Dic3—21no—
408C22×Dic3—21no—
409C22×Dic3—21no—
410C22×Dic3—21no—
411C22×Dic3—21no—
412C22×Dic3—21no—
413C22×Dic3—21no—
414C22×Dic3—21no—
415C22×Dic3—21no—
416C22×Dic3—21no—
417C22×Dic3—21no—
418C22×Dic3—21no—
419C22×Dic3—21no—
420C22×Dic3—21no—
421C22×Dic3—21no—
422C22×Dic3—28no—
423C22×Dic3—28no—
424C22×Dic3—28no—
425C22×Dic3—21no—
426C22×Dic3—21no—
427C22×Dic3—21no—
428C22×Dic3—21no—
429C22×Dic3—21no—
430C22×Dic3—21no—
431C22×Dic3—21no—
432C22×Dic3—44no—
433C22×Dic3—44no—
434C22×Dic3—44no—
435C22×Dic3—44no—
436C22×Dic3C2×D412yes—
437C22×Dic3C2×D412yes—
438C22×Dic3C2×D412yes—
439C22×Dic3C2×D412yes—
440C22×Dic3C2×D412yes—
441C22×Dic3C2×D412yes—
442C22×Dic3C2×D412yes—
443C22×Dic3C2×D412yes—
444C22×Dic3C2×D412yes—
445C22×Dic3C2×D412yes—
446C22×Dic3C2×D412yes—
447C22×Dic3#4112yes—
448C22×Dic3#4112yes—
449C2×D12—28no—
450C2×D12—44no—
451C2×D12—44no—
452C2×D12—44no—
453C2×D12—44no—
454C2×D12—44no—
455C2×D12—44no—
456C2×C4×D3—28no—
457C2×C4×D3—28no—
458C2×C4×D3—28no—
459C2×C4×D3—44no—
460C2×C4×D3—44no—
461C2×C4×D3—44no—
462C2×C4×D3—44no—
463C3×C22⋊C4—28no—
464C3×C22⋊C4—28no—
465C3×C22⋊C4—44no—
466C3×C22⋊C4—44no—
467#217—28no—
468#217—44no—
469#217—44no—
470(C2×D3)⋊C4—28no—
471(C2×D3)⋊C4—28no—
472(C2×D3)⋊C4—28no—
473(C2×D3)⋊C4—44no—
474(C2×D3)⋊C4—44no—
475(C2×D3)⋊C4—44no—
476(C2×D3)⋊C4—44no—
477Dic3⋊C4—28no—
478Dic3⋊C4—28no—
479Dic3⋊C4—28no—
480Dic3⋊C4—44no—
481C4×Dic3—28no—
482C25—31no—
483C25—31no—
484C25C22×D311yescharacteristic
485C25C22×D311yescharacteristic
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—34no—
492C22×D4—34no—
493C22×D4—41no—
494C22×D4—41no—
495C22×D4—62no—
496C22×D4—62no—
497C22×D4—62no—
498C22×D4—62no—
499C22×D4—62no—
500C22×D4—62no—
501C22×D4—62no—
502C22×D4—62no—
503C22×D4—62no—
504C22×D4—62no—
505C22×D4—62no—
506C22×D4—62no—
507C22×D4—62no—
508C22×D4—62no—
509C22×D4—62no—
510C22×D4—62no—
511C22×D4—62no—
512C22×D4—62no—
513C22×D4—62no—
514C22×D4—62no—
515C22×D4—62no—
516C22×D4—62no—
517C22×D4—62no—
518C22×D4—62no—
519C22×D4—62no—
520C22×D4—62no—
521C22×D4—62no—
522C22×D4—121no—
523C22×D4—121no—
524C22×D4—121no—
525C22×D4—121no—
526C22×D4—121no—
527C22×D4—121no—
528C23×C4—31no—
529C23×C4—31no—
530C23×C4—34no—
531C23×C4—31no—
532C23×C4—31no—
533C23×C4—31no—
534C23×C4—34no—
535C23×C4—31no—
536C23×C4—62no—
537C23×C4—62no—
538C23×C4—62no—
539C23×C4—62no—
540C23×C4—62no—
541C23×C4—62no—
542C23×C4—62no—
543C23×C4—62no—
544C23×C4—62no—
545C23×C4—62no—
546C23×C4—62no—
547C23×C4—62no—
548C23×C4C22×D311yescharacteristic
549C23×C4C22×D311yescharacteristic
550C23×C4C22×D311yescharacteristic
551C23×C4C22×D311yescharacteristic
552C23×C4C22×D311yescharacteristic
553#121—632no—
554#121—632no—
555C4×D4—632no—
556C2×C4⋊C4—34no—
557C2×C4⋊C4—34no—
558C2×C4⋊C4—62no—
559C2×C4⋊C4—62no—
560C2×C4⋊C4—62no—
561C2×C4⋊C4—62no—
562C2×C4⋊C4—62no—
563C2×C4⋊C4—62no—
564C2×C4⋊C4—62no—
565C2×C4⋊C4—62no—
566C2×C4⋊C4—62no—
567C2×C4⋊C4—62no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—22no—
577C2×C22⋊C4—41no—
578C2×C22⋊C4—41no—
579C2×C22⋊C4—41no—
580C2×C22⋊C4—62no—
581C2×C22⋊C4—62no—
582C2×C22⋊C4—62no—
583C2×C22⋊C4—62no—
584C2×C22⋊C4—62no—
585C2×C22⋊C4—62no—
586C2×C22⋊C4—62no—
587C2×C22⋊C4—62no—
588C2×C22⋊C4—62no—
589C2×C22⋊C4—62no—
590C2×C22⋊C4—62no—
591C2×C22⋊C4—62no—
592C2×C22⋊C4—62no—
593C2×C22⋊C4—62no—
594C2×C22⋊C4—62no—
595C2×C22⋊C4—62no—
596C2×C22⋊C4—62no—
597C2×C22⋊C4—62no—
598C2×C22⋊C4—62no—
599C2×C22⋊C4—62no—
600C2×C22⋊C4—62no—
601C2×C22⋊C4—62no—
602C2×C22⋊C4—62no—
603C2×C22⋊C4—62no—
604C2×C22⋊C4—62no—
605C2×C22⋊C4—121no—
606C2×C22⋊C4—121no—
607C2×C22⋊C4—121no—
608C2×C22⋊C4—121no—
609C2×C22⋊C4—121no—
610C2×C42—34no—
611C2×C42—62no—
612C2×C42—62no—
613#95—22no—
614#95—41no—
615#95—62no—
616#95—62no—
617#95—62no—
618#95—62no—
619#95—62no—
620#95—121no—
621C23×C3—22no—
622C23×C3—22no—
623C23×C3—22no—
624C23×C3—22no—
625C23×C3—22no—
626C23×C3—22no—
627C23×C3—22no—
628C23×C3—22no—
629C23×C3—22no—
630C23×C3—22no—
631C23×C3—22no—
632C23×C3—22no—
633C23×C3—22no—
634C23×C3—22no—
635C23×C3—22no—
636C23×C3—22no—
637C23×C3—22no—
638C23×C3—22no—
639C23×C3—22no—
640C23×C3—22no—
641C23×C3—22no—
642C23×C3—22no—
643C23×C3—22no—
644C23×C3—22no—
645C23×C3—22no—
646C23×C3—41no—
647C23×C3—41no—
648C23×C3—41no—
649C23×C3—41no—
650C23×C3—41no—
651C23×C3—41no—
652C23×C3—41no—
653C23×C3—41no—
654C23×C3—41no—
655C23×C3—41no—
656C23×C3—41no—
657C23×C3—41no—
658C23×C3—41no—
659C23×C3—41no—
660C23×C3—41no—
661C23×C3—41no—
662C23×C3—41no—
663C23×C3—41no—
664C23×C3—41no—
665C23×C3—41no—
666C23×C3—41no—
667C23×C3—41no—
668C23×C3—41no—
669C23×C3—41no—
670C23×C3—41no—
671C23×C3—41no—
672C23×C3—41no—
673C23×C3—41no—
674C23×C3—41no—
675C23×C3—41no—
676C23×C3—41no—
677C23×C3—41no—
678C23×C3—41no—
679C23×C3—41no—
680C23×C3—41no—
681C23×C3—41no—
682C23×C3—41no—
683C23×C3—41no—
684C23×C3—41no—
685C23×C3—41no—
686C23×C3—41no—
687C23×C3—41no—
688C23×C3—41no—
689C23×C3—41no—
690C23×C3#12114yescomplemented
691C23×C3C22×D411yescharacteristic
692C23×C3C22×D411yescharacteristic
693C23×C3C22×D411yescharacteristic
694C23×C3C22×D411yescharacteristic
695C23×C3C22×D411yescharacteristic
696C23×C3C22×D411yescharacteristic
697C23×C3C22×D411yescharacteristic
698C23×C3C2×#4111yescharacteristic
699C23×C3C2×#4111yescharacteristic
700C23×C3C2×#4111yescharacteristic
701C23×C3C2×#4111yescharacteristic
702C23×C3H(5,𝔽2)11yescharacteristic
703C23×C3H(5,𝔽2)11yescharacteristic
704C23×C3H(5,𝔽2)11yescharacteristic
705C23×C32−1+411yescharacteristic
706C22×D3—22no—
707C22×D3—22no—
708C22×D3—22no—
709C22×D3—22no—
710C22×D3—22no—
711C22×D3—22no—
712C22×D3—22no—
713C22×D3—22no—
714C22×D3—22no—
715C22×D3—22no—
716C22×D3—22no—
717C22×D3—22no—
718C22×D3—22no—
719C22×D3—22no—
720C22×D3—22no—
721C22×D3—22no—
722C22×D3—22no—
723C22×D3—22no—
724C22×D3—22no—
725C22×D3—22no—
726C22×D3—22no—
727C22×D3—22no—
728C22×D3—22no—
729C22×D3—22no—
730C22×D3—22no—
731C22×D3—41no—
732C22×D3—41no—
733C22×D3—41no—
734C22×D3—41no—
735C22×D3—41no—
736C22×D3—41no—
737C22×D3—41no—
738C22×D3—41no—
739C22×D3—41no—
740C22×D3—41no—
741C22×D3—41no—
742C22×D3—41no—
743C22×D3—41no—
744C22×D3—41no—
745C22×D3—41no—
746C22×D3—41no—
747C22×D3—41no—
748C22×D3—41no—
749C22×D3—41no—
750C22×D3—41no—
751C22×D3—41no—
752C22×D3—41no—
753C22×D3—41no—
754C22×D3—41no—
755C22×D3—41no—
756C22×D3—41no—
757C22×D3—41no—
758C22×D3—41no—
759C22×D3—41no—
760C22×D3—41no—
761C22×D3—41no—
762C22×D3—41no—
763C22×D3—41no—
764C22×D3—41no—
765C22×D3—41no—
766C22×D3—41no—
767C22×D3—41no—
768C22×D3—41no—
769C22×D3—41no—
770C22×D3—41no—
771C22×D3—41no—
772C22×D3—41no—
773C22×D3—41no—
774C22×D3—41no—
775C22×D3#12114yescomplemented
776C3×D4—416no—
777C2×C3×C4—22no—
778C2×C3×C4—22no—
779C2×C3×C4—22no—
780C2×C3×C4—22no—
781C2×C3×C4—22no—
782C2×C3×C4—22no—
783C2×C3×C4—22no—
784C2×C3×C4—22no—
785C2×C3×C4—22no—
786C2×C3×C4—22no—
787C2×C3×C4—22no—
788C2×C3×C4—22no—
789C2×C3×C4—41no—
790C2×C3×C4—41no—
791C2×C3×C4—41no—
792C2×C3×C4—41no—
793C2×C3×C4—41no—
794C2×C3×C4—41no—
795C2×C3×C4—41no—
796C2×C3×C4—41no—
797C2×C3×C4—41no—
798C2×C3×C4—41no—
799C2×C3×C4—41no—
800C2×C3×C4—41no—
801C2×C3×C4—41no—
802C2×C3×C4—41no—
803C2×C3×C4—41no—
804C2×C3×C4—41no—
805C2×C3×C4—41no—
806C2×C3×C4—41no—
807C2×C3×C4—41no—
808C2×C3×C4—41no—
809C2×C3×C4—41no—
810C2×C3×C4—41no—
811C2×C3×C4—41no—
812#67—232no—
813#67—416no—
814#67—416no—
815#67—416no—
816C2×Dic3—22no—
817C2×Dic3—22no—
818C2×Dic3—22no—
819C2×Dic3—22no—
820C2×Dic3—22no—
821C2×Dic3—22no—
822C2×Dic3—22no—
823C2×Dic3—22no—
824C2×Dic3—22no—
825C2×Dic3—22no—
826C2×Dic3—22no—
827C2×Dic3—22no—
828C2×Dic3—22no—
829C2×Dic3—22no—
830C2×Dic3—22no—
831C2×Dic3—41no—
832C2×Dic3—41no—
833C2×Dic3—41no—
834C2×Dic3—41no—
835C2×Dic3—41no—
836C2×Dic3—41no—
837C2×Dic3—41no—
838C2×Dic3—41no—
839C2×Dic3—41no—
840C2×Dic3—41no—
841C2×Dic3—41no—
842C2×Dic3—41no—
843C2×Dic3—416no—
844C2×Dic3—41no—
845C2×Dic3—41no—
846C2×Dic3—41no—
847C2×Dic3—41no—
848C2×Dic3—41no—
849C2×Dic3—41no—
850C2×Dic3—41no—
851C2×Dic3#12014yes—
852C2×Dic3#12014yes—
853C2×Dic3#12014yes—
854C2×Dic3#12114yes—
855C2×Dic3#12114yes—
856C2×Dic3#12114yes—
857C2×Dic3#12114yescomplemented
858C2×Dic3#12714yes—
859D12—416no—
860C4×D3—416no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—32no—
888C24—32no—
889C24—32no—
890C24—32no—
891C24—61no—
892C24—61no—
893C24—61no—
894C24—61no—
895C24—61no—
896C24—61no—
897C24—61no—
898C24—61no—
899C24—61no—
900C24—61no—
901C24—61no—
902C24—61no—
903C24—61no—
904C24—61no—
905C24—61no—
906C24—61no—
907C24—61no—
908C24—61no—
909C24—61no—
910C24—61no—
911C24—61no—
912C24—61no—
913C24—61no—
914C24—61no—
915C24—61no—
916C24—61no—
917C24#23512yes—
918C24D3×D412yes—
919C24D3×D412yes—
920C24D3×D412yes—
921C24C23×D311yescharacteristic
922C2×D4—28no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—44no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—44no—
929C2×D4—68no—
930C2×D4—68no—
931C2×D4—68no—
932C2×D4—68no—
933C2×D4—68no—
934C2×D4—68no—
935C2×D4—68no—
936C2×D4—68no—
937C2×D4—68no—
938C2×D4—68no—
939C2×D4—68no—
940C2×D4—68no—
941C2×D4—68no—
942C2×D4—124no—
943C2×D4—124no—
944C2×D4—124no—
945C2×D4—124no—
946C2×D4—124no—
947C2×D4—124no—
948C2×D4—124no—
949C2×D4—124no—
950C2×D4—124no—
951C2×D4—124no—
952C2×D4—124no—
953C2×D4—124no—
954C2×D4—124no—
955C2×D4—124no—
956C2×D4—124no—
957C2×D4—124no—
958C2×D4—124no—
959C2×D4—124no—
960C2×D4—124no—
961C2×D4—124no—
962C2×D4—124no—
963C2×D4—124no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—32no—
996C22×C4—32no—
997C22×C4—32no—
998C22×C4—32no—
999C22×C4—32no—
1000C22×C4—32no—
1001C22×C4—32no—
1002C22×C4—32no—
1003C22×C4—32no—
1004C22×C4—32no—
1005C22×C4—32no—
1006C22×C4—32no—
1007C22×C4—32no—
1008C22×C4—68no—
1009C22×C4—68no—
1010C22×C4—68no—
1011C22×C4—68no—
1012C22×C4—68no—
1013C22×C4—68no—
1014C22×C4—61no—
1015C22×C4—61no—
1016C22×C4—61no—
1017C22×C4—61no—
1018C22×C4—61no—
1019C22×C4—61no—
1020C22×C4—61no—
1021C22×C4—61no—
1022C22×C4—61no—
1023C22×C4—61no—
1024C22×C4—61no—
1025C22×C4—61no—
1026C22×C4—61no—
1027C22×C4—61no—
1028C22×C4—61no—
1029C22×C4—61no—
1030C22×C4—61no—
1031C22×C4—61no—
1032C22×C4—61no—
1033C22×C4—61no—
1034C22×C4—61no—
1035C22×C4—61no—
1036C22×C4—61no—
1037C22×C4—61no—
1038C22×C4—61no—
1039C22×C4—61no—
1040C22×C4—61no—
1041C22×C4—61no—
1042C22×C4—61no—
1043C22×C4—124no—
1044C22×C4—124no—
1045C22×C4—124no—
1046C22×C4—124no—
1047C22×C4—124no—
1048C22×C4—124no—
1049C22×C4—124no—
1050C22×C4—124no—
1051C22×C4D3×D412yes—
1052C22×C4D3×D412yes—
1053C22×C4D3×D412yes—
1054C22×C4D3×D412yes—
1055C4⋊C4—68no—
1056C4⋊C4—68no—
1057C4⋊C4—68no—
1058C4⋊C4—124no—
1059C22⋊C4—28no—
1060C22⋊C4—28no—
1061C22⋊C4—44no—
1062C22⋊C4—44no—
1063C22⋊C4—68no—
1064C22⋊C4—68no—
1065C22⋊C4—68no—
1066C22⋊C4—68no—
1067C22⋊C4—124no—
1068C22⋊C4—124no—
1069C22⋊C4—124no—
1070C22⋊C4—124no—
1071C22⋊C4—124no—
1072C22⋊C4—124no—
1073C42—68no—
1074C22×C3—24no—
1075C22×C3—24no—
1076C22×C3—24no—
1077C22×C3—42no—
1078C22×C3—42no—
1079C22×C3—42no—
1080C22×C3—42no—
1081C22×C3—42no—
1082C22×C3—42no—
1083C22×C3—42no—
1084C22×C3—42no—
1085C22×C3—42no—
1086C22×C3—42no—
1087C22×C3—42no—
1088C22×C3—42no—
1089C22×C3—42no—
1090C22×C3—42no—
1091C22×C3—42no—
1092C22×C3—42no—
1093C22×C3—42no—
1094C22×C3—42no—
1095C22×C3—42no—
1096C22×C3—81no—
1097C22×C3—81no—
1098C22×C3—81no—
1099C22×C3—81no—
1100C22×C3—81no—
1101C22×C3—81no—
1102C22×C3—81no—
1103C22×C3—81no—
1104C22×C3C2×#12011yescharacteristic
1105C22×C3C2×#12011yescharacteristic
1106C22×C3C2×#12011yescharacteristic
1107C22×C3C2×#12111yescharacteristic
1108C22×C3C2×#12111yescharacteristic
1109C22×C3C2×#12111yescharacteristic
1110C22×C3C2×#12111yescharacteristic
1111C22×C3C2×#12111yescharacteristic
1112C22×C3C2×#12111yescharacteristic
1113C22×C3#52511yescharacteristic
1114C22×C3#52511yescharacteristic
1115C22×C3#52511yescharacteristic
1116C22×C3C2×#12711yescharacteristic
1117C22×C3#53511yescharacteristic
1118C22×C3#53511yescharacteristic
1119C22×C3#53511yescharacteristic
1120C22×C3#53711yescharacteristic
1121C22×C3#53711yescharacteristic
1122C22×C3#53711yescharacteristic
1123C22×C3D4211yescharacteristic
1124C22×C3D4211yescharacteristic
1125C22×C3D4211yescharacteristic
1126C22×C3#54611yescharacteristic
1127C22×C3#54611yescharacteristic
1128C22×C3#54611yescharacteristic
1129C22×C3#54611yescharacteristic
1130C22×C3#54711yescharacteristic
1131C22×C3#54711yescharacteristic
1132C22×C3#54811yescharacteristic
1133C22×C3#54811yescharacteristic
1134C22×C3#55011yescharacteristic
1135C22×C3#55011yescharacteristic
1136C22×C3#55311yescharacteristic
1137C22×C3#55311yescharacteristic
1138C22×C3#55511yescharacteristic
1139C2×D3—24no—
1140C2×D3—24no—
1141C2×D3—24no—
1142C2×D3—42no—
1143C2×D3—42no—
1144C2×D3—42no—
1145C2×D3—42no—
1146C2×D3—42no—
1147C2×D3—42no—
1148C2×D3—42no—
1149C2×D3—42no—
1150C2×D3—42no—
1151C2×D3—42no—
1152C2×D3—42no—
1153C2×D3—42no—
1154C2×D3—42no—
1155C2×D3—42no—
1156C2×D3—42no—
1157C2×D3—42no—
1158C2×D3—42no—
1159C2×D3—42no—
1160C2×D3—42no—
1161C2×D3—81no—
1162C2×D3—81no—
1163C2×D3—81no—
1164C2×D3—81no—
1165C2×D3—81no—
1166C2×D3—81no—
1167C2×D3—81no—
1168C2×D3—81no—
1169C3×C4—42no—
1170C3×C4—42no—
1171C3×C4—42no—
1172C3×C4—42no—
1173C3×C4—81no—
1174Dic3—24no—
1175Dic3—42no—
1176Dic3—42no—
1177Dic3—42no—
1178Dic3—81no—
1179Dic3#39218yescomplemented
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—34no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—62no—
1251C23—62no—
1252C23—62no—
1253C23—62no—
1254C23—62no—
1255C23—62no—
1256C23—62no—
1257C23—62no—
1258C23—62no—
1259C23—62no—
1260C23—62no—
1261C23—62no—
1262C23—62no—
1263C23—62no—
1264C23—62no—
1265C23—62no—
1266C23—62no—
1267C23—62no—
1268C23—62no—
1269C23—62no—
1270C23—62no—
1271C23—62no—
1272C23—62no—
1273C23—62no—
1274C23—62no—
1275C23—121no—
1276C23—121no—
1277C23—121no—
1278C23—121no—
1279C23—121no—
1280C23—121no—
1281C23—121no—
1282C23—121no—
1283C23—121no—
1284C23—121no—
1285C23—121no—
1286C23—121no—
1287C23—121no—
1288C23—121no—
1289C23—121no—
1290C23—121no—
1291C23—121no—
1292C23—121no—
1293C23—121no—
1294C23—121no—
1295C23—121no—
1296C23—121no—
1297C23—121no—
1298C23—121no—
1299C23—121no—
1300C23—121no—
1301C23—121no—
1302C23—121no—
1303C23—121no—
1304C23—121no—
1305C23—121no—
1306C23—121no—
1307C23—121no—
1308C23—121no—
1309C23—121no—
1310C23—121no—
1311C23—121no—
1312C23—121no—
1313C23—121no—
1314C23—121no—
1315C23—121no—
1316C23—121no—
1317C23—121no—
1318C23—121no—
1319C23#88414yescomplemented
1320C23C2×#23511yescharacteristic
1321C23C2×D3×D411yescharacteristic
1322C23C2×D3×D411yescharacteristic
1323C23C2×D3×D411yescharacteristic
1324C23C2×D3×D411yescharacteristic
1325C23C2×D3×D411yescharacteristic
1326C23C2×D3×D411yescharacteristic
1327C23C2×D3×D411yescharacteristic
1328C23#100411yescharacteristic
1329C23#100411yescharacteristic
1330C23#100411yescharacteristic
1331C23D3×#4111yescharacteristic
1332C23D3×#4111yescharacteristic
1333C23D3×#4111yescharacteristic
1334C23#101011yescharacteristic
1335D4—416no—
1336D4—632no—
1337D4—1216no—
1338D4—1216no—
1339D4—1216no—
1340D4—1216no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—34no—
1354C2×C4—34no—
1355C2×C4—34no—
1356C2×C4—34no—
1357C2×C4—34no—
1358C2×C4—34no—
1359C2×C4—34no—
1360C2×C4—34no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—62no—
1385C2×C4—62no—
1386C2×C4—62no—
1387C2×C4—62no—
1388C2×C4—62no—
1389C2×C4—62no—
1390C2×C4—62no—
1391C2×C4—62no—
1392C2×C4—62no—
1393C2×C4—62no—
1394C2×C4—62no—
1395C2×C4—62no—
1396C2×C4—62no—
1397C2×C4—62no—
1398C2×C4—62no—
1399C2×C4—1216no—
1400C2×C4—1216no—
1401C2×C4—121no—
1402C2×C4—121no—
1403C2×C4—121no—
1404C2×C4—121no—
1405C2×C4—121no—
1406C2×C4—121no—
1407C2×C4—121no—
1408C2×C4—121no—
1409C2×C4—121no—
1410C2×C4—121no—
1411C2×C4—121no—
1412C2×C4—121no—
1413C2×C4—121no—
1414C2×C4—121no—
1415C2×C4—121no—
1416C2×C4—121no—
1417C2×C4—121no—
1418C2×C4—121no—
1419C2×C4—121no—
1420C2×C3—44no—
1421C2×C3—82no—
1422C2×C3C2×#39211yescharacteristic
1423C2×C3#240711yescharacteristic
1424C2×C3#240711yescharacteristic
1425C2×C3#240811yescharacteristic
1426C2×C3#240811yescharacteristic
1427C2×C3#241411yescharacteristic
1428C2×C3#241411yescharacteristic
1429C2×C3#241611yescharacteristic
1430C2×C3#241611yescharacteristic
1431C2×C3#253511yescharacteristic
1432C2×C3#253711yescharacteristic
1433C2×C3#254011yescharacteristic
1434C2×C3#254111yescharacteristic
1435C2×C3#261511yescharacteristic
1436C2×C3#284711yescharacteristic
1437D3—44no—
1438D3—82no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—64no—
1462C22—64no—
1463C22—64no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—122no—
1473C22—122no—
1474C22—122no—
1475C22—122no—
1476C22—122no—
1477C22—122no—
1478C22—122no—
1479C22—122no—
1480C22—122no—
1481C22—122no—
1482C22—122no—
1483C22—122no—
1484C22—122no—
1485C22—122no—
1486C22—122no—
1487C22—122no—
1488C22—122no—
1489C22—122no—
1490C22—122no—
1491C22—241no—
1492C22—241no—
1493C22—241no—
1494C22—241no—
1495C22—241no—
1496C22—241no—
1497C22—241no—
1498C22—241no—
1499C22C2×#88411yescharacteristic
1500C22#549011yescharacteristic
1501C22#549011yescharacteristic
1502C22#554011yescharacteristic
1503C22#554711yescharacteristic
1504C22#554711yescharacteristic
1505C22#555211yescharacteristic
1506C22D3×#12011yescharacteristic
1507C22D3×#12011yescharacteristic
1508C22D3×#12011yescharacteristic
1509C22#559011yescharacteristic
1510C22#559011yescharacteristic
1511C22#559011yescharacteristic
1512C22#559211yescharacteristic
1513C22#559211yescharacteristic
1514C22#559711yescharacteristic
1515C22#559711yescharacteristic
1516C22#559911yescharacteristic
1517C22#559911yescharacteristic
1518C22D3×#12111yescharacteristic
1519C22D3×#12111yescharacteristic
1520C22D3×#12111yescharacteristic
1521C22D3×#12111yescharacteristic
1522C22D3×#12111yescharacteristic
1523C22#560811yescharacteristic
1524C22#561011yescharacteristic
1525C22#561011yescharacteristic
1526C22#565511yescharacteristic
1527C22#565511yescharacteristic
1528C22#565611yescharacteristic
1529C22#566111yescharacteristic
1530C22#567011yescharacteristic
1531C22#567711yescharacteristic
1532C22D3×#12711yescharacteristic
1533C22#571511yescharacteristic
1534C4—38no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—64no—
1540C4—81no—
1541C4—122no—
1542C4—122no—
1543C4—122no—
1544C4—241no—
1545C3#1512311yescharacteristic, complemented, Sylow
1546C2—44no—
1547C2—82no—
1548C2—124no—
1549C2—242no—
1550C2#7382411yescharacteristic
1551C2#7468811yescharacteristic
1552C2#7469211yescharacteristic
1553C2#7475111yescharacteristic
1554C2#7493511yescharacteristic
1555C2#7631111yescharacteristic
1556C2#7634711yescharacteristic
1557C2#7666911yescharacteristic
1558C2#7668811yescharacteristic
1559C2#7669711yescharacteristic
1560C2D3×#39211yescharacteristic
1561C2#7689411yescharacteristic
1562C2#7689611yescharacteristic
1563C2#7689811yescharacteristic
1564C2#7694411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1438C2
hypercenter#1438D3
hypocenterC3#15123
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
1. C22×#939C2semidirect
2. C22×#884C2semidirect
3. C22×#67⋊C4C2semidirect
4. C2×#5223C2semidirect
5. C2×#4960C2semidirect
6. C2×#4957C2semidirect
7. C2×#4942C2semidirect
8. C2×#4667C2semidirect
9. C3×#1438C2semidirect
10. #71550C2semidirect
11. #71550C2semidirect
12. #71547C2semidirect
13. #69428C2semidirect
14. #69426C2semidirect
15. Dic3⋊#95C2semidirect
79. #1438D3semidirect
123. C22×#67D4semidirect
124. C22×#67D4semidirect
131. C23×Dic3D4semidirect
151. C22×C4×D3D4semidirect
205. C2×Dic3⋊C4D4semidirect
206. C2×Dic3⋊C4D4semidirect
209. C2×C4×Dic3D4semidirect
690. C23×C3#121semidirect
775. C22×D3#121semidirect
857. C2×Dic3#121semidirect
1179. Dic3#392semidirect
1319. C23#884semidirect
1545. C3#15123semidirect

Maximal subgroups

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

subgroupindex
C22×#9392
C22×#8842
C22×#67⋊C42
C2×#52232
C2×#49602
C2×#49572
C2×#49422
C2×#46672
C3×#14382
#715502
#715472
#694282
#694262
Dic3⋊#952
#151233