Finite Group Databasebeta

← #11811957

Subgroups — #11811957

Order 1152.

2857 conjugacy classes of subgroups.

The subgroup lattice has 1463 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×#67C211yesmaximal, characteristic, complemented
2C2×C3×#940C211yesmaximal, characteristic, complemented
3C2×C3×#937C211yesmaximal, characteristic, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63979C211yesmaximal, characteristic, complemented
6C2×#63976C211yesmaximal, characteristic, complemented
7C2×#63970C211yesmaximal, characteristic, complemented
8C2×#63922C211yesmaximal, characteristic, complemented
9#10592922C211yesmaximal, characteristic, complemented
10#10591724C211yesmaximal, characteristic, complemented
11#10591723C211yesmaximal, characteristic, complemented
12#10591707C211yesmaximal, characteristic, complemented
13#10591389C211yesmaximal, characteristic, complemented
14#10591383C211yesmaximal, characteristic, complemented
15Dic3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
16#83175—31nomaximal
17#82588—31nomaximal
18C24×C3×D3C2211yescharacteristic
19C23×D32C2211yescharacteristic
20C22×C32×D4C2211yescharacteristic, complemented
21C22×#638C2211yescharacteristic
22C22×#638C2211yescharacteristic, complemented
23C22×C3×#67C2211yescharacteristic
24C22×C3×#67C2211yescharacteristic
25C22×C3×#67C2211yescharacteristic, complemented
26C22×C3×#67C2211yescharacteristic, complemented
27C22×C3×#67C2211yescharacteristic, complemented
28C22×C3×#67C2211yescharacteristic, complemented
29C22×C3×D12C2211yescharacteristic, complemented
30C2×D3×#67—24no—
31C2×D3×#67—24no—
32C2×D3×#67—24no—
33C22×#626C2211yescharacteristic
34C22×#626C2211yescharacteristic, complemented
35C22×#625C2211yescharacteristic
36C22×#625C2211yescharacteristic
37C22×#625C2211yescharacteristic, complemented
38C22×D3×Dic3C2211yescharacteristic
39C2×#3757C2211yescharacteristic, complemented
40C2×#3757C2211yescharacteristic, complemented
41C2×#3752C2211yescharacteristic, complemented
42C2×C3×#217C2211yescharacteristic, complemented
43C3×#940—24no—
44C3×#937—24no—
45C2×C3×(C2×D3)⋊C4C2211yescharacteristic
46C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C2×C3×C4×Dic3C2211yescharacteristic, complemented
48#63983—24no—
49#63979—24no—
50#63976—24no—
51#63970—24no—
52C2×Dic3⋊Dic3C2211yescharacteristic, complemented
53C2×#3722C2211yescharacteristic, complemented
54C2×(C2×D3)⋊Dic3C2211yescharacteristic
55C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
59C2×Dic32C2211yescharacteristic, complemented
60#63922—24no—
61#63658C2211yescharacteristic, complemented
62#63579C2211yescharacteristic, complemented
63C23×#67—31no—
64C22×D3×D4—31no—
65C2×C3×#127—31no—
66C2×C3×#120—31no—
67C2×#953—31no—
68C2×#940—31no—
69C2×#940—31no—
70C2×#940D311yescharacteristic, complemented
71C2×#939—31no—
72C2×#938—31no—
73C2×#937—31no—
74C2×#937—31no—
75C2×#937—31no—
76C2×#937—31no—
77C2×#937D311yescharacteristic, complemented
78C2×#882—31no—
79#5223—31no—
80#5223—31no—
81#5223—31no—
82#5223—31no—
83#5223—31no—
84#5223—31no—
85#5223—61no—
86#5221—31no—
87#4960—31no—
88#4960—31no—
89#4957—31no—
90#4957—31no—
91Dic3×C22⋊C4—31no—
92#4939—31no—
93C4×(C2×D3)⋊C4—31no—
94C24×C32C2311yescharacteristic
95C24×C32C2311yescharacteristic
96C23×C3⋊D3C2311yescharacteristic
97C23×C3×D3—22no—
98C23×C3×D3—22no—
99C23×C3×D3—22no—
100C23×C3×D3—22no—
101C23×C3×D3—22no—
102C23×C3×D3—41no—
103C23×C3×D3—41no—
104C23×C3×D3C2311yescharacteristic
105C23×C3×D3C2311yescharacteristic
106C23×C3×D3C2311yescharacteristic
107C23×C3×D3C2311yescharacteristic
108C22×D32—22no—
109C22×D32—22no—
110C22×D32—22no—
111C22×D32—22no—
112C22×D32—22no—
113C22×D32—41no—
114C22×D32—41no—
115C2×C32×D4—22no—
116C2×C32×D4—22no—
117C2×C32×D4—41no—
118C22×C32×C4C2311yescharacteristic
119C2×#638—22no—
120C2×#638—22no—
121C2×#638—22no—
122C2×#638—22no—
123C2×#638—22no—
124C2×#638—41no—
125C22×C3⋊Dic3C2311yescharacteristic
126C22×C3⋊Dic3C2311yescharacteristic
127C22×C3⋊Dic3C2311yescharacteristic
128C2×C3×#67—22no—
129C2×C3×#67—22no—
130C2×C3×#67—22no—
131C2×C3×#67—22no—
132C2×C3×#67—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—22no—
141C2×C3×#67—22no—
142C2×C3×#67—41no—
143C2×C3×#67—41no—
144C2×C3×#67—41no—
145C2×C3×#67D414yescomplemented
146C22×C3×Dic3C2311yescharacteristic
147C22×C3×Dic3C2311yescharacteristic
148C22×C3×Dic3C2311yescharacteristic
149C22×C3×Dic3C2311yescharacteristic
150C2×C3×D12—22no—
151C2×C3×D12—22no—
152C2×C3×D12—41no—
153D3×#67—232no—
154C2×#626—22no—
155C2×#626—22no—
156C2×#626—22no—
157C2×#626—22no—
158C2×#626—41no—
159C2×#626D414yescomplemented
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×D3×Dic3—22no—
170C2×D3×Dic3—22no—
171C2×D3×Dic3D414yescomplemented
172#3757—22no—
173#3757—22no—
174#3752—22no—
175C3×#217—22no—
176C3×(C2×D3)⋊C4—22no—
177C3×(C2×D3)⋊C4D414yescomplemented
178C3×C4×Dic3—22no—
179Dic3⋊Dic3—22no—
180#3722—22no—
181(C2×D3)⋊Dic3—22no—
182(C2×D3)⋊Dic3—22no—
183(C2×D3)⋊Dic3—22no—
184(C2×D3)⋊Dic3—22no—
185(C2×D3)⋊Dic3D414yescomplemented
186Dic32—22no—
187#2433—91noSylow
188C25×C3—31no—
189C24×D3—31no—
190C24×D3—31no—
191C24×D3C2×D311yescharacteristic
192C22×C3×D4—21no—
193C22×C3×D4—31no—
194C22×C3×D4—31no—
195C22×C3×D4—31no—
196C22×C3×D4—31no—
197C22×C3×D4—31no—
198C22×C3×D4—31no—
199C22×C3×D4—31no—
200C22×C3×D4C2×D311yescharacteristic, complemented
201C22×C3×D4C2×D311yescharacteristic, complemented
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—31no—
213C22×#67—31no—
214C22×#67—61no—
215C22×#67—61no—
216C22×#67—64no—
217C22×#67—64no—
218C22×#67—64no—
219C22×#67C2×D311yescharacteristic
220C22×#67C2×D311yescharacteristic
221C22×#67C2×D311yescharacteristic, complemented
222C22×#67C2×D311yescharacteristic, complemented
223C22×#67C2×D311yescharacteristic, complemented
224C22×#67C2×D311yescharacteristic, complemented
225C23×Dic3—31no—
226C2×D3×D4—64no—
227C2×D3×D4—64no—
228C2×D3×D4—64no—
229C22×D12—31no—
230C22×D12—31no—
231C22×D12C2×D311yescharacteristic, complemented
232C22×C4×D3—31no—
233C3×#127—64no—
234C3×#120—64no—
235C2×C3×C22⋊C4—31no—
236C2×C3×C22⋊C4—31no—
237C2×C3×C22⋊C4—31no—
238C2×C3×C42—31no—
239#953—64no—
240C2×#217—31no—
241C2×#217—31no—
242C2×#217—31no—
243C2×#217—31no—
244C2×#217—31no—
245C2×#217—31no—
246C2×#217—31no—
247C2×#217—31no—
248C2×#217—31no—
249C2×#217—61no—
250C2×#217—61no—
251C2×#217C2×D311yescharacteristic, complemented
252#940—24no—
253#940—64no—
254#940—64no—
255#939—64no—
256#938—64no—
257#937—24no—
258#937—64no—
259#937—64no—
260#937—64no—
261#937—64no—
262C2×(C2×D3)⋊C4—31no—
263C2×(C2×D3)⋊C4—31no—
264C2×(C2×D3)⋊C4—31no—
265C2×(C2×D3)⋊C4—31no—
266C2×(C2×D3)⋊C4—31no—
267C2×(C2×D3)⋊C4—31no—
268C2×(C2×D3)⋊C4—31no—
269C2×(C2×D3)⋊C4—31no—
270C2×(C2×D3)⋊C4—31no—
271C2×(C2×D3)⋊C4—61no—
272C2×(C2×D3)⋊C4C2×D311yescharacteristic
273C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
274C2×C4⋊Dic3—31no—
275C2×Dic3⋊C4—31no—
276C2×C4×Dic3—31no—
277C2×C4×Dic3—31no—
278C2×C4×Dic3C2×D311yescharacteristic, complemented
279#882—64no—
280C3⋊#95—31no—
281C3⋊#95—31no—
282C3⋊#95—31no—
283C3⋊#95—31no—
284C3⋊#95—61no—
285C23×C32—21no—
286C23×C32—21no—
287C23×C32—21no—
288C23×C32—21no—
289C23×C32—21no—
290C23×C32—21no—
291C23×C32—21no—
292C23×C32—21no—
293C23×C32—21no—
294C23×C32—21no—
295C23×C32—21no—
296C23×C32—21no—
297C23×C32—21no—
298C23×C32C2×D412yes—
299C23×C32C2411yescharacteristic
300C22×C3⋊D3—21no—
301C22×C3⋊D3—21no—
302C22×C3⋊D3—21no—
303C22×C3⋊D3—21no—
304C22×C3⋊D3—21no—
305C22×C3⋊D3—21no—
306C22×C3⋊D3C2×D412yes—
307C22×C3×D3—21no—
308C22×C3×D3—21no—
309C22×C3×D3—21no—
310C22×C3×D3—21no—
311C22×C3×D3—28no—
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—21no—
331C22×C3×D3—44no—
332C22×C3×D3—44no—
333C22×C3×D3—44no—
334C22×C3×D3—44no—
335C22×C3×D3—44no—
336C22×C3×D3—44no—
337C22×C3×D3C2×D412yes—
338C22×C3×D3C2×D412yes—
339C22×C3×D3C2×D412yes—
340C22×C3×D3C2×D412yes—
341C22×C3×D3C2×D412yes—
342C2×D32—28no—
343C2×D32—44no—
344C2×D32—44no—
345C2×D32—44no—
346C2×D32—44no—
347C2×D32—44no—
348C2×D32—44no—
349C32×D4—44no—
350C2×C32×C4—21no—
351C2×C32×C4—21no—
352C2×C32×C4C2×D412yescomplemented
353#638—28no—
354#638—44no—
355C2×C3⋊Dic3—21no—
356C2×C3⋊Dic3—21no—
357C2×C3⋊Dic3—21no—
358C2×C3⋊Dic3—21no—
359C2×C3⋊Dic3—21no—
360C2×C3⋊Dic3—21no—
361C2×C3⋊Dic3—21no—
362C2×C3⋊Dic3C2×D412yes—
363C2×C3⋊Dic3C2×D412yescomplemented
364C3×#67—28no—
365C3×#67—44no—
366C3×#67—44no—
367C3×#67—44no—
368C3×#67—44no—
369C3×#67—44no—
370C2×C3×Dic3—21no—
371C2×C3×Dic3—21no—
372C2×C3×Dic3—21no—
373C2×C3×Dic3—21no—
374C2×C3×Dic3—21no—
375C2×C3×Dic3—21no—
376C2×C3×Dic3—21no—
377C2×C3×Dic3C2×D412yes—
378C2×C3×Dic3C2×D412yes—
379C2×C3×Dic3C2×D412yes—
380C2×C3×Dic3C2×D412yescomplemented
381C2×C3×Dic3C2×D412yescomplemented
382C3×D12—44no—
383#626—28no—
384#626—44no—
385#625—28no—
386#625—44no—
387#625—44no—
388D3×Dic3—28no—
389C23×D4—91no—
390C2×#127—31no—
391C2×#127—91no—
392C2×#121—91no—
393C2×#120—31no—
394C2×#120—91no—
395C2×#120—91no—
396C2×#120—91no—
397#392—91no—
398#392—91no—
399#392—91no—
400#392—91no—
401#390—91no—
402#390—91no—
403C4×C22⋊C4—91no—
404C24×C3—21no—
405C24×C3—21no—
406C24×C3—31no—
407C24×C3—31no—
408C24×C3—31no—
409C24×C3—31no—
410C24×C3—62no—
411C24×C3—62no—
412C24×C3—62no—
413C24×C3—62no—
414C24×C3—62no—
415C24×C3—121no—
416C24×C3—121no—
417C24×C3C22×D311yescharacteristic
418C24×C3C22×D311yescharacteristic
419C24×C3C22×D311yescharacteristic
420C24×C3C22×D311yescharacteristic
421C23×D3—22no—
422C23×D3—22no—
423C23×D3—22no—
424C23×D3—22no—
425C23×D3—22no—
426C23×D3—31no—
427C23×D3—31no—
428C23×D3—41no—
429C23×D3—41no—
430C23×D3—61no—
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—121no—
442C23×D3—121no—
443C23×D3—121no—
444C23×D3—121no—
445C23×D3C22×D311yescharacteristic
446C23×D3C22×D311yescharacteristic
447C23×D3C22×D311yescharacteristic
448C23×D3C22×D311yescharacteristic
449C2×C3×D4—22no—
450C2×C3×D4—22no—
451C2×C3×D4—22no—
452C2×C3×D4—22no—
453C2×C3×D4—34no—
454C2×C3×D4—42no—
455C2×C3×D4—42no—
456C2×C3×D4—41no—
457C2×C3×D4—41no—
458C2×C3×D4—42no—
459C2×C3×D4—62no—
460C2×C3×D4—62no—
461C2×C3×D4—62no—
462C2×C3×D4—62no—
463C2×C3×D4—62no—
464C2×C3×D4—62no—
465C2×C3×D4—62no—
466C2×C3×D4—62no—
467C2×C3×D4—62no—
468C2×C3×D4—62no—
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—121no—
476C2×C3×D4—121no—
477C2×C3×D4—121no—
478C2×C3×D4—121no—
479C22×C3×C4—21no—
480C22×C3×C4—31no—
481C22×C3×C4—31no—
482C22×C3×C4—31no—
483C22×C3×C4—31no—
484C22×C3×C4C22×D311yescharacteristic
485C22×C3×C4C22×D311yescharacteristic
486C2×#67—22no—
487C2×#67—22no—
488C2×#67—22no—
489C2×#67—22no—
490C2×#67—22no—
491C2×#67—22no—
492C2×#67—22no—
493C2×#67—22no—
494C2×#67—22no—
495C2×#67—22no—
496C2×#67—22no—
497C2×#67—22no—
498C2×#67—22no—
499C2×#67—22no—
500C2×#67—34no—
501C2×#67—41no—
502C2×#67—41no—
503C2×#67—41no—
504C2×#67—62no—
505C2×#67—62no—
506C2×#67—62no—
507C2×#67—62no—
508C2×#67—62no—
509C2×#67—62no—
510C2×#67—62no—
511C2×#67—62no—
512C2×#67—62no—
513C2×#67—632no—
514C2×#67—62no—
515C2×#67—62no—
516C2×#67—62no—
517C2×#67—62no—
518C2×#67—62no—
519C2×#67—62no—
520C2×#67—62no—
521C2×#67—62no—
522C2×#67—62no—
523C2×#67—62no—
524C2×#67—62no—
525C2×#67—62no—
526C2×#67—62no—
527C2×#67—62no—
528C2×#67—62no—
529C2×#67—62no—
530C2×#67—62no—
531C2×#67—62no—
532C2×#67—62no—
533C2×#67—62no—
534C2×#67—62no—
535C2×#67—122no—
536C2×#67—122no—
537C2×#67—122no—
538C2×#67—122no—
539C2×#67—122no—
540C2×#67—121no—
541C2×#67—121no—
542C2×#67—121no—
543C2×#67—121no—
544C2×#67—121no—
545C2×#67—122no—
546C2×#67#6714yescomplemented
547C22×Dic3—31no—
548C22×Dic3—31no—
549C22×Dic3—31no—
550C22×Dic3—31no—
551C22×Dic3—34no—
552C22×Dic3—31no—
553C22×Dic3—31no—
554C22×Dic3—61no—
555C22×Dic3—61no—
556C22×Dic3—61no—
557C22×Dic3—62no—
558C22×Dic3—62no—
559C22×Dic3C22×D311yescharacteristic
560C22×Dic3C22×D311yescharacteristic
561C22×Dic3C22×D311yescharacteristic
562C22×Dic3C22×D311yescharacteristic
563D3×D4—632no—
564C2×D12—22no—
565C2×D12—22no—
566C2×D12—34no—
567C2×D12—41no—
568C2×D12—62no—
569C2×D12—62no—
570C2×D12—62no—
571C2×D12—62no—
572C2×D12—121no—
573C2×C4×D3—34no—
574C2×C4×D3—62no—
575C2×C4×D3—62no—
576C3×C22⋊C4—34no—
577C3×C22⋊C4—62no—
578C3×C22⋊C4—62no—
579C3×C42—62no—
580#217—22no—
581#217—34no—
582#217—62no—
583#217—62no—
584#217—62no—
585#217—62no—
586#217—62no—
587#217—62no—
588#217—62no—
589#217—62no—
590#217—122no—
591#217—122no—
592(C2×D3)⋊C4—22no—
593(C2×D3)⋊C4—34no—
594(C2×D3)⋊C4—62no—
595(C2×D3)⋊C4—62no—
596(C2×D3)⋊C4—62no—
597(C2×D3)⋊C4—62no—
598(C2×D3)⋊C4—62no—
599(C2×D3)⋊C4—62no—
600(C2×D3)⋊C4—62no—
601(C2×D3)⋊C4—62no—
602(C2×D3)⋊C4—122no—
603(C2×D3)⋊C4#6714yescomplemented
604C4⋊Dic3—62no—
605Dic3⋊C4—62no—
606C4×Dic3—22no—
607C4×Dic3—62no—
608C4×Dic3—62no—
609C22×C32—22no—
610C22×C32—22no—
611C22×C32—22no—
612C22×C32—41no—
613C22×C32—41no—
614C22×C32—41no—
615C22×C32—41no—
616C22×C32—41no—
617C22×C32—41no—
618C22×C32—41no—
619C22×C32—41no—
620C22×C32—41no—
621C22×C32—41no—
622C22×C32—41no—
623C22×C32C22×D411yescharacteristic
624C22×C32C22×D411yescharacteristic
625C22×C32C22×D411yescharacteristic
626C22×C32C22×D411yescharacteristic
627C22×C32C22×D411yescharacteristic
628C22×C32H(5,𝔽2)11yescharacteristic
629C22×C32H(5,𝔽2)11yescharacteristic
630C2×C3⋊D3—22no—
631C2×C3⋊D3—22no—
632C2×C3⋊D3—22no—
633C2×C3⋊D3—41no—
634C2×C3⋊D3—41no—
635C2×C3⋊D3—41no—
636C2×C3⋊D3—41no—
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—416no—
650C2×C3×D3—41no—
651C2×C3×D3—41no—
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—41no—
661C2×C3×D3—41no—
662C2×C3×D3—41no—
663C2×C3×D3—41no—
664C2×C3×D3—41no—
665C2×C3×D3#12714yescomplemented
666D32—416no—
667C32×C4—22no—
668C3⋊Dic3—22no—
669C3⋊Dic3—22no—
670C3⋊Dic3—41no—
671C3×Dic3—22no—
672C3×Dic3—22no—
673C3×Dic3—41no—
674C3×Dic3#12014yescomplemented
675C25—31no—
676C25—91no—
677C22×D4—31no—
678C22×D4—31no—
679C22×D4—31no—
680C22×D4—31no—
681C22×D4—31no—
682C22×D4—31no—
683C22×D4—31no—
684C22×D4—91no—
685C22×D4—91no—
686C22×D4—91no—
687C22×D4—91no—
688C22×D4—91no—
689C22×D4—91no—
690C22×D4—91no—
691C22×D4—184no—
692C22×D4—184no—
693C22×D4—184no—
694C22×D4D3211yescharacteristic, complemented
695C23×C4—91no—
696#127—64no—
697#127—184no—
698#121—184no—
699#120—64no—
700#120—184no—
701#120—184no—
702#120—184no—
703C2×C4⋊C4—91no—
704C2×C22⋊C4—31no—
705C2×C22⋊C4—31no—
706C2×C22⋊C4—31no—
707C2×C22⋊C4—91no—
708C2×C22⋊C4—91no—
709C2×C22⋊C4—91no—
710C2×C22⋊C4—91no—
711C2×C22⋊C4—91no—
712C2×C22⋊C4—91no—
713C2×C22⋊C4—91no—
714C2×C22⋊C4—91no—
715C2×C22⋊C4—91no—
716C2×C42—31no—
717C2×C42—91no—
718#95—91no—
719#95—91no—
720C23×C3—21no—
721C23×C3—21no—
722C23×C3—21no—
723C23×C3—21no—
724C23×C3—21no—
725C23×C3—21no—
726C23×C3—21no—
727C23×C3—21no—
728C23×C3—21no—
729C23×C3—21no—
730C23×C3—21no—
731C23×C3—21no—
732C23×C3—22no—
733C23×C3—21no—
734C23×C3—21no—
735C23×C3—21no—
736C23×C3—21no—
737C23×C3—21no—
738C23×C3—21no—
739C23×C3—21no—
740C23×C3—21no—
741C23×C3—21no—
742C23×C3—21no—
743C23×C3—21no—
744C23×C3—21no—
745C23×C3—21no—
746C23×C3—21no—
747C23×C3—21no—
748C23×C3—22no—
749C23×C3—32no—
750C23×C3—32no—
751C23×C3—32no—
752C23×C3—32no—
753C23×C3—32no—
754C23×C3—41no—
755C23×C3—41no—
756C23×C3—41no—
757C23×C3—41no—
758C23×C3—41no—
759C23×C3—41no—
760C23×C3—41no—
761C23×C3—41no—
762C23×C3—41no—
763C23×C3—41no—
764C23×C3—41no—
765C23×C3—41no—
766C23×C3—68no—
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—61no—
783C23×C3—61no—
784C23×C3—61no—
785C23×C3—61no—
786C23×C3—61no—
787C23×C3—61no—
788C23×C3—61no—
789C23×C3—61no—
790C23×C3—124no—
791C23×C3—124no—
792C23×C3—124no—
793C23×C3—124no—
794C23×C3—124no—
795C23×C3—124no—
796C23×C3D3×D412yes—
797C23×C3C2×#6712yes—
798C23×C3C23×D311yescharacteristic
799C23×C3C23×D311yescharacteristic
800C22×D3—21no—
801C22×D3—21no—
802C22×D3—21no—
803C22×D3—21no—
804C22×D3—28no—
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—21no—
822C22×D3—21no—
823C22×D3—21no—
824C22×D3—32no—
825C22×D3—32no—
826C22×D3—44no—
827C22×D3—44no—
828C22×D3—44no—
829C22×D3—44no—
830C22×D3—44no—
831C22×D3—44no—
832C22×D3—62no—
833C22×D3—68no—
834C22×D3—68no—
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—121no—
848C22×D3—121no—
849C22×D3—121no—
850C22×D3—121no—
851C22×D3—121no—
852C22×D3—121no—
853C22×D3—124no—
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×D3D3×D412yes—
866C22×D3D3×D412yes—
867C22×D3D3×D412yes—
868C22×D3C2×#6712yes—
869C22×D3C2×#6712yes—
870C3×D4—44no—
871C3×D4—44no—
872C3×D4—48no—
873C3×D4—68no—
874C3×D4—124no—
875C3×D4—124no—
876C3×D4—124no—
877C3×D4—124no—
878C3×D4—124no—
879C3×D4—124no—
880C2×C3×C4—21no—
881C2×C3×C4—21no—
882C2×C3×C4—21no—
883C2×C3×C4—21no—
884C2×C3×C4—22no—
885C2×C3×C4—32no—
886C2×C3×C4—32no—
887C2×C3×C4—32no—
888C2×C3×C4—32no—
889C2×C3×C4—32no—
890C2×C3×C4—41no—
891C2×C3×C4—41no—
892C2×C3×C4—61no—
893C2×C3×C4—61no—
894C2×C3×C4—61no—
895C2×C3×C4—61no—
896C2×C3×C4—61no—
897C2×C3×C4—61no—
898C2×C3×C4—61no—
899C2×C3×C4D3×D412yescomplemented
900C2×C3×C4C2×#6712yescomplemented
901#67—28no—
902#67—44no—
903#67—44no—
904#67—44no—
905#67—44no—
906#67—44no—
907#67—68no—
908#67—68no—
909#67—68no—
910#67—68no—
911#67—68no—
912#67—128no—
913#67—124no—
914#67—124no—
915#67—124no—
916#67—124no—
917#67—124no—
918#67—124no—
919#67—128no—
920#67—124no—
921C2×Dic3—21no—
922C2×Dic3—21no—
923C2×Dic3—21no—
924C2×Dic3—21no—
925C2×Dic3—21no—
926C2×Dic3—21no—
927C2×Dic3—21no—
928C2×Dic3—32no—
929C2×Dic3—32no—
930C2×Dic3—32no—
931C2×Dic3—32no—
932C2×Dic3—62no—
933C2×Dic3—62no—
934C2×Dic3—61no—
935C2×Dic3—61no—
936C2×Dic3—61no—
937C2×Dic3—61no—
938C2×Dic3—61no—
939C2×Dic3—61no—
940C2×Dic3—61no—
941C2×Dic3—61no—
942C2×Dic3—68no—
943C2×Dic3—61no—
944C2×Dic3—61no—
945C2×Dic3—61no—
946C2×Dic3—61no—
947C2×Dic3—61no—
948C2×Dic3—61no—
949C2×Dic3—121no—
950C2×Dic3—121no—
951C2×Dic3—121no—
952C2×Dic3—121no—
953C2×Dic3—121no—
954C2×Dic3—121no—
955C2×Dic3—121no—
956C2×Dic3D3×D412yes—
957C2×Dic3D3×D412yes—
958C2×Dic3D3×D412yescomplemented
959C2×Dic3C2×#6712yes—
960C2×Dic3C2×#6712yescomplemented
961D12—44no—
962D12—68no—
963D12—124no—
964C4×D3—68no—
965C2×C32—42no—
966C2×C32—81no—
967C2×C32C2×#12011yescharacteristic
968C2×C32C2×#12711yescharacteristic
969C2×C32#53511yescharacteristic
970C2×C32D4211yescharacteristic
971C2×C32D4211yescharacteristic
972C2×C32D4211yescharacteristic
973C2×C32D4211yescharacteristic
974C3⋊D3—42no—
975C3×D3—24no—
976C3×D3—42no—
977C3×D3—42no—
978C3×D3—81no—
979C24—31no—
980C24—31no—
981C24—31no—
982C24—31no—
983C24—62no—
984C24—62no—
985C24—62no—
986C24—62no—
987C24—62no—
988C24—91no—
989C24—121no—
990C24—121no—
991C24—182no—
992C24—182no—
993C24—182no—
994C24—182no—
995C24—182no—
996C24—361no—
997C24—361no—
998C24C2×D3211yescharacteristic
999C24C2×D3211yescharacteristic
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—34no—
1003C2×D4—41no—
1004C2×D4—62no—
1005C2×D4—62no—
1006C2×D4—62no—
1007C2×D4—62no—
1008C2×D4—62no—
1009C2×D4—62no—
1010C2×D4—62no—
1011C2×D4—62no—
1012C2×D4—62no—
1013C2×D4—62no—
1014C2×D4—62no—
1015C2×D4—62no—
1016C2×D4—62no—
1017C2×D4—62no—
1018C2×D4—62no—
1019C2×D4—62no—
1020C2×D4—94no—
1021C2×D4—121no—
1022C2×D4—121no—
1023C2×D4—121no—
1024C2×D4—121no—
1025C2×D4—182no—
1026C2×D4—182no—
1027C2×D4—182no—
1028C2×D4—182no—
1029C2×D4—182no—
1030C2×D4—182no—
1031C2×D4—182no—
1032C2×D4—182no—
1033C2×D4—1832no—
1034C2×D4—182no—
1035C2×D4—182no—
1036C2×D4—182no—
1037C2×D4—182no—
1038C2×D4—182no—
1039C2×D4—182no—
1040C2×D4—182no—
1041C2×D4—182no—
1042C2×D4—182no—
1043C2×D4—361no—
1044C2×D4—361no—
1045C2×D4—361no—
1046C22×C4—31no—
1047C22×C4—31no—
1048C22×C4—31no—
1049C22×C4—31no—
1050C22×C4—94no—
1051C22×C4—91no—
1052C22×C4—91no—
1053C22×C4—91no—
1054C22×C4—182no—
1055C22×C4—182no—
1056C22×C4C2×D3211yescharacteristic
1057C4⋊C4—182no—
1058C22⋊C4—34no—
1059C22⋊C4—62no—
1060C22⋊C4—62no—
1061C22⋊C4—94no—
1062C22⋊C4—182no—
1063C22⋊C4—182no—
1064C22⋊C4—182no—
1065C22⋊C4—182no—
1066C22⋊C4—182no—
1067C22⋊C4—182no—
1068C22⋊C4—182no—
1069C22⋊C4—182no—
1070C42—62no—
1071C42—182no—
1072C22×C3—22no—
1073C22×C3—22no—
1074C22×C3—22no—
1075C22×C3—22no—
1076C22×C3—22no—
1077C22×C3—22no—
1078C22×C3—21no—
1079C22×C3—21no—
1080C22×C3—21no—
1081C22×C3—21no—
1082C22×C3—21no—
1083C22×C3—21no—
1084C22×C3—21no—
1085C22×C3—34no—
1086C22×C3—42no—
1087C22×C3—42no—
1088C22×C3—42no—
1089C22×C3—42no—
1090C22×C3—42no—
1091C22×C3—42no—
1092C22×C3—41no—
1093C22×C3—41no—
1094C22×C3—41no—
1095C22×C3—41no—
1096C22×C3—41no—
1097C22×C3—41no—
1098C22×C3—41no—
1099C22×C3—41no—
1100C22×C3—41no—
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—41no—
1110C22×C3—41no—
1111C22×C3—41no—
1112C22×C3—41no—
1113C22×C3—41no—
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—81no—
1127C22×C3—81no—
1128C22×C3—81no—
1129C22×C3—81no—
1130C22×C3—81no—
1131C22×C3—81no—
1132C22×C3—81no—
1133C22×C3—81no—
1134C22×C3—1216no—
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×C3—121no—
1149C22×C3—121no—
1150C22×C3C2×D3×D411yescharacteristic
1151C22×C3C2×D3×D411yescharacteristic
1152C22×C3C2×D3×D411yescharacteristic
1153C22×C3C2×D3×D411yescharacteristic
1154C22×C3C2×D3×D411yescharacteristic
1155C22×C3C2×D3×D411yescharacteristic
1156C22×C3C2×D3×D411yescharacteristic
1157C22×C3C2×D3×D411yescharacteristic
1158C22×C3#100411yescharacteristic
1159C22×C3#100411yescharacteristic
1160C22×C3#100411yescharacteristic
1161C22×C3#100411yescharacteristic
1162C22×C3C22×#6711yescharacteristic
1163C22×C3C22×#6711yescharacteristic
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—416no—
1177C2×D3—41no—
1178C2×D3—41no—
1179C2×D3—41no—
1180C2×D3—41no—
1181C2×D3—41no—
1182C2×D3—41no—
1183C2×D3—41no—
1184C2×D3—41no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—41no—
1191C2×D3—41no—
1192C2×D3—62no—
1193C2×D3—62no—
1194C2×D3—62no—
1195C2×D3—62no—
1196C2×D3—62no—
1197C2×D3—62no—
1198C2×D3—122no—
1199C2×D3—122no—
1200C2×D3—122no—
1201C2×D3—1216no—
1202C2×D3—1216no—
1203C2×D3—121no—
1204C2×D3—121no—
1205C2×D3—121no—
1206C2×D3—121no—
1207C2×D3—121no—
1208C2×D3—121no—
1209C2×D3—121no—
1210C2×D3—121no—
1211C2×D3—241no—
1212C2×D3—241no—
1213C2×D3—241no—
1214C2×D3—241no—
1215C2×D3#94014yescomplemented
1216C3×C4—22no—
1217C3×C4—22no—
1218C3×C4—34no—
1219C3×C4—42no—
1220C3×C4—62no—
1221C3×C4—62no—
1222C3×C4—121no—
1223Dic3—22no—
1224Dic3—22no—
1225Dic3—41no—
1226Dic3—62no—
1227Dic3—62no—
1228Dic3—62no—
1229Dic3—62no—
1230Dic3—122no—
1231Dic3—122no—
1232Dic3—121no—
1233Dic3—121no—
1234Dic3—241no—
1235Dic3#93714yescomplemented
1236C32#243311yescharacteristic, complemented, Sylow
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—32no—
1251C23—32no—
1252C23—32no—
1253C23—32no—
1254C23—32no—
1255C23—68no—
1256C23—61no—
1257C23—61no—
1258C23—61no—
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—92no—
1280C23—124no—
1281C23—124no—
1282C23—124no—
1283C23—124no—
1284C23—124no—
1285C23—124no—
1286C23—188no—
1287C23—181no—
1288C23—181no—
1289C23—181no—
1290C23—181no—
1291C23—181no—
1292C23—181no—
1293C23—364no—
1294C23—364no—
1295C23—364no—
1296C23—364no—
1297C23—364no—
1298C23—364no—
1299C23D3×#6712yes—
1300C23C22×D3211yescharacteristic
1301D4—44no—
1302D4—68no—
1303D4—124no—
1304D4—124no—
1305D4—124no—
1306D4—124no—
1307D4—124no—
1308D4—124no—
1309D4—188no—
1310D4—188no—
1311D4—188no—
1312D4—364no—
1313D4—364no—
1314D4—364no—
1315D4—364no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—32no—
1319C2×C4—32no—
1320C2×C4—32no—
1321C2×C4—32no—
1322C2×C4—32no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—92no—
1331C2×C4—92no—
1332C2×C4—188no—
1333C2×C4—181no—
1334C2×C4—181no—
1335C2×C4—181no—
1336C2×C4—181no—
1337C2×C4—181no—
1338C2×C4—181no—
1339C2×C4—181no—
1340C2×C4D3×#6712yescomplemented
1341C2×C3—21no—
1342C2×C3—21no—
1343C2×C3—21no—
1344C2×C3—21no—
1345C2×C3—21no—
1346C2×C3—21no—
1347C2×C3—21no—
1348C2×C3—42no—
1349C2×C3—42no—
1350C2×C3—64no—
1351C2×C3—82no—
1352C2×C3—82no—
1353C2×C3—81no—
1354C2×C3—81no—
1355C2×C3—122no—
1356C2×C3—122no—
1357C2×C3—241no—
1358C2×C3D3×#12011yescharacteristic
1359C2×C3#559011yescharacteristic
1360C2×C3#559011yescharacteristic
1361C2×C3#559211yescharacteristic
1362C2×C3D3×#12711yescharacteristic
1363C2×C3#571511yescharacteristic
1364C2×C3#571711yescharacteristic
1365C2×C3#571711yescharacteristic
1366C2×C3C2×#93711yescharacteristic
1367C2×C3D4×#6711yescharacteristic
1368C2×C3D4×#6711yescharacteristic
1369C2×C3D4×#6711yescharacteristic
1370C2×C3D4×#6711yescharacteristic
1371C2×C3C2×#94011yescharacteristic
1372D3—24no—
1373D3—42no—
1374D3—42no—
1375D3—81no—
1376D3—122no—
1377D3—122no—
1378D3—242no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—34no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—62no—
1395C22—62no—
1396C22—62no—
1397C22—62no—
1398C22—62no—
1399C22—62no—
1400C22—62no—
1401C22—62no—
1402C22—62no—
1403C22—62no—
1404C22—62no—
1405C22—62no—
1406C22—1216no—
1407C22—121no—
1408C22—121no—
1409C22—121no—
1410C22—121no—
1411C22—121no—
1412C22—121no—
1413C22—121no—
1414C22—121no—
1415C22—121no—
1416C22—121no—
1417C22—121no—
1418C22—121no—
1419C22—121no—
1420C22—121no—
1421C22—121no—
1422C22—182no—
1423C22—182no—
1424C22—182no—
1425C22—3616no—
1426C22—361no—
1427C22—361no—
1428C22—361no—
1429C22—361no—
1430C22D32×D411yescharacteristic
1431C22D32×D411yescharacteristic
1432C22D32×D411yescharacteristic
1433C22#6431311yescharacteristic
1434C22C2×D3×#6711yescharacteristic
1435C22C2×D3×#6711yescharacteristic
1436C22#6433011yescharacteristic
1437C4—22no—
1438C4—34no—
1439C4—62no—
1440C4—62no—
1441C4—121no—
1442C4—182no—
1443C4—182no—
1444C4—361no—
1445C3—21no—
1446C3#8258811yescharacteristic, complemented
1447C3#8317511yescharacteristic, complemented
1448C2—42no—
1449C2—64no—
1450C2—81no—
1451C2—122no—
1452C2—122no—
1453C2—241no—
1454C2—362no—
1455C2D3×#93711yescharacteristic
1456C2D3×#94011yescharacteristic
1457C2#1059528611yescharacteristic
1458C2#1059528711yescharacteristic
1459C2#1059529311yescharacteristic
1460C2#1059529511yescharacteristic
1461C2#67211yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC22×C32×D4C22
hypercenterC22×D4D32
hypocenterC32#2433
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×D3×#67C2semidirect
2. C2×C3×#940C2semidirect
3. C2×C3×#937C2semidirect
4. C2×#63983C2semidirect
5. C2×#63979C2semidirect
6. C2×#63976C2semidirect
7. C2×#63970C2semidirect
8. C2×#63922C2semidirect
9. #10592922C2semidirect
10. #10591724C2semidirect
11. #10591723C2semidirect
12. #10591707C2semidirect
13. #10591389C2semidirect
14. #10591383C2semidirect
15. Dic3×(C2×D3)⋊C4C2semidirect
20. C22×C32×D4C22semidirect
22. C22×#638C22semidirect
25. C22×C3×#67C22semidirect
26. C22×C3×#67C22semidirect
27. C22×C3×#67C22semidirect
28. C22×C3×#67C22semidirect
29. C22×C3×D12C22semidirect
34. C22×#626C22semidirect
37. C22×#625C22semidirect
39. C2×#3757C22semidirect
40. C2×#3757C22semidirect
41. C2×#3752C22semidirect
42. C2×C3×#217C22semidirect
46. C2×C3×(C2×D3)⋊C4C22semidirect
47. C2×C3×C4×Dic3C22semidirect
52. C2×Dic3⋊Dic3C22semidirect
53. C2×#3722C22semidirect
55. C2×(C2×D3)⋊Dic3C22semidirect
56. C2×(C2×D3)⋊Dic3C22semidirect
57. C2×(C2×D3)⋊Dic3C22semidirect
58. C2×(C2×D3)⋊Dic3C22semidirect
59. C2×Dic32C22semidirect
61. #63658C22semidirect
62. #63579C22semidirect
70. C2×#940D3semidirect
77. C2×#937D3semidirect
145. C2×C3×#67D4semidirect
159. C2×#626D4semidirect
171. C2×D3×Dic3D4semidirect
177. C3×(C2×D3)⋊C4D4semidirect
185. (C2×D3)⋊Dic3D4semidirect
200. C22×C3×D4C2×D3semidirect
201. C22×C3×D4C2×D3semidirect
221. C22×#67C2×D3semidirect
222. C22×#67C2×D3semidirect
223. C22×#67C2×D3semidirect
224. C22×#67C2×D3semidirect
231. C22×D12C2×D3semidirect
251. C2×#217C2×D3semidirect
273. C2×(C2×D3)⋊C4C2×D3semidirect
278. C2×C4×Dic3C2×D3semidirect
352. C2×C32×C4C2×D4semidirect
363. C2×C3⋊Dic3C2×D4semidirect
380. C2×C3×Dic3C2×D4semidirect
381. C2×C3×Dic3C2×D4semidirect
546. C2×#67#67semidirect
603. (C2×D3)⋊C4#67semidirect
665. C2×C3×D3#127semidirect
674. C3×Dic3#120semidirect
694. C22×D4D32semidirect
899. C2×C3×C4D3×D4semidirect
900. C2×C3×C4C2×#67semidirect
958. C2×Dic3D3×D4semidirect
960. C2×Dic3C2×#67semidirect
1215. C2×D3#940semidirect
1235. Dic3#937semidirect
1236. C32#2433semidirect
1340. C2×C4D3×#67semidirect
1446. C3#82588semidirect
1447. C3#83175semidirect

Maximal subgroups

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

subgroupindex
C22×D3×#672
C2×C3×#9402
C2×C3×#9372
C2×#639832
C2×#639792
C2×#639762
C2×#639702
C2×#639222
#105929222
#105917242
#105917232
#105917072
#105913892
#105913832
Dic3×(C2×D3)⋊C42
#831753
#825883