Finite Group Databasebeta

← #13172288

Subgroups — #13172288

Order 1728.

1862 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#638C211yesmaximal, characteristic, complemented
2C2×C3×D3×#67C211yesmaximal, characteristic, complemented
3#11723717C211yesmaximal, characteristic, complemented
4#11723635C211yesmaximal, characteristic, complemented
5#11723632C211yesmaximal, characteristic, complemented
6C3×#63978C211yesmaximal, characteristic, complemented
7C2×C3×(C2×D3)⋊Dic3C211yesmaximal, characteristic, complemented
8#11722990C211yesmaximal, characteristic, complemented
9#11722989C211yesmaximal, characteristic, complemented
10#11722988C211yesmaximal, characteristic, complemented
11#11722987C211yesmaximal, characteristic, complemented
12#11722950C211yesmaximal, characteristic, complemented
13#11722949C211yesmaximal, characteristic, complemented
14#11722948C211yesmaximal, characteristic, complemented
15#11722947C211yesmaximal, characteristic, complemented
16#10595519—31nomaximal
17#10595302—31nomaximal
18#10595072—31nomaximal
19C23×C32×D3C2211yescharacteristic
20C22×D3×C3⋊D3C2211yescharacteristic, complemented
21C22×C3×D32C2211yescharacteristic, complemented
22C2×#6312C2211yescharacteristic, complemented
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C3×#638C2211yescharacteristic, complemented
25C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
26C2×C32×#67C2211yescharacteristic, complemented
27C22×C32×Dic3C2211yescharacteristic, complemented
28C2×#6295C2211yescharacteristic, complemented
29D3×#638—24no—
30C2×#6292C2211yescharacteristic, complemented
31C2×#6291C2211yescharacteristic
32C2×#6291C2211yescharacteristic, complemented
33C2×#6290C2211yescharacteristic
34C2×D3×C3⋊Dic3C2211yescharacteristic, complemented
35C3×D3×#67—24no—
36C2×C3×#626C2211yescharacteristic
37C2×C3×#626C2211yescharacteristic, complemented
38C2×C3×#625C2211yescharacteristic
39C2×C3×D3×Dic3C2211yescharacteristic, complemented
40#88815C2211yescharacteristic, complemented
41#88814C2211yescharacteristic, complemented
42#88814C2211yescharacteristic, complemented
43#88807C2211yescharacteristic, complemented
44Dic3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
45#88804C2211yescharacteristic, complemented
46#88804C2211yescharacteristic, complemented
47#88803C2211yescharacteristic, complemented
48(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic, complemented
51C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
52C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
53C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C22×#638—31no—
57C22×C3×#67—31no—
58C2×C3×D3×D4—31no—
59C2×D3×#67—31no—
60C2×D3×#67—31no—
61C2×D3×#67—61no—
62C2×D3×#67D311yescharacteristic, complemented
63#64148—31no—
64#64139—31no—
65C2×C3×#217—31no—
66C3×#939—31no—
67C3×#930—31no—
68C2×C3×(C2×D3)⋊C4—31no—
69#63983—31no—
70#63981—31no—
71#63981—31no—
72#63980—31no—
73#63978—31no—
74#63978—31no—
75#63978—31no—
76#63978—31no—
77#63978—31no—
78#63978—31no—
79#63978—61no—
80#63978—61no—
81#63978D311yescharacteristic, complemented
82#63977—31no—
83#63977—31no—
84#63977—31no—
85#63976—31no—
86#63969—31no—
87#63966—31no—
88#63966—31no—
89#63962—31no—
90#63962—31no—
91C2×(C2×D3)⋊Dic3D311yescharacteristic, complemented
92#63923—31no—
93#63923—31no—
94#63922—31no—
95#63922—31no—
96#63922—31no—
97#63905—31no—
98#63891—31no—
99#63891—31no—
100#63890—31no—
101#63890—31no—
102#63884—31no—
103#63850—31no—
104C23×C33C2311yescharacteristic
105C22×C3⋊(C3⋊D3)C2311yescharacteristic
106C22×C3×C3⋊D3C2311yescharacteristic
107C22×C3×C3⋊D3C2311yescharacteristic
108C22×C32×D3—41no—
109C22×C32×D3—41no—
110C22×C32×D3D414yescomplemented
111C22×C32×D3C2311yescharacteristic
112C22×C32×D3C2311yescharacteristic
113C22×C32×D3C2311yescharacteristic
114C2×D3×C3⋊D3—22no—
115C2×D3×C3⋊D3—41no—
116C2×D3×C3⋊D3—41no—
117C2×C3×D32—22no—
118C2×C3×D32—41no—
119C2×C3×D32—41no—
120#6312—22no—
121C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
122C3×#638—22no—
123C3×#638—22no—
124C2×C3×C3⋊Dic3—41no—
125C2×C3×C3⋊Dic3C2311yescharacteristic
126C2×C3×C3⋊Dic3C2311yescharacteristic
127C2×C3×C3⋊Dic3C2311yescharacteristic
128C2×C3×C3⋊Dic3C2311yescharacteristic
129C32×#67—22no—
130C2×C32×Dic3—41no—
131C2×C32×Dic3C2311yescharacteristic
132C2×C32×Dic3C2311yescharacteristic
133C2×C32×Dic3C2311yescharacteristic
134#6295—41no—
135#6292—41no—
136#6291—22no—
137#6291—41no—
138#6290—22no—
139D3×C3⋊Dic3—22no—
140C3×#626—22no—
141C3×#626—41no—
142C3×#625—22no—
143C3×D3×Dic3—22no—
144#5804—91no—
145#5605—91no—
146#5493—91no—
147C24×C32—31no—
148C23×C3⋊D3—31no—
149C23×C3×D3—21no—
150C23×C3×D3—31no—
151C23×C3×D3—31no—
152C23×C3×D3C2×D311yescharacteristic
153C23×C3×D3C2×D311yescharacteristic
154C22×D32—31no—
155C22×D32—31no—
156C22×D32—61no—
157C22×D32C2×D311yescharacteristic, complemented
158C2×C32×D4—31no—
159C22×C32×C4—31no—
160C2×#638—31no—
161C2×#638—31no—
162C2×#638—31no—
163C2×#638—31no—
164C2×#638—31no—
165C2×#638—31no—
166C2×#638—64no—
167C2×#638—61no—
168C2×#638—61no—
169C2×#638—61no—
170C2×#638—121no—
171C2×#638C2×D311yescharacteristic, complemented
172C2×#638C2×D311yescharacteristic, complemented
173C22×C3⋊Dic3—31no—
174C22×C3⋊Dic3C2×D311yescharacteristic, complemented
175C2×C4⋊(C3⋊D3)—31no—
176C2×C3×#67—21no—
177C2×C3×#67—31no—
178C2×C3×#67—31no—
179C2×C3×#67—31no—
180C2×C3×#67—31no—
181C2×C3×#67—31no—
182C2×C3×#67—31no—
183C2×C3×#67—31no—
184C2×C3×#67—31no—
185C2×C3×#67—64no—
186C2×C3×#67—61no—
187C2×C3×#67—61no—
188C2×C3×#67C2×D311yescharacteristic, complemented
189C2×C3×#67C2×D311yescharacteristic, complemented
190C22×C3×Dic3—21no—
191C22×C3×Dic3—31no—
192C22×C3×Dic3—31no—
193C22×C3×Dic3—31no—
194C22×C3×Dic3—61no—
195C22×C3×Dic3C2×D311yescharacteristic, complemented
196C22×C3×Dic3C2×D311yescharacteristic, complemented
197C3×D3×D4—64no—
198C2×C3×D12—31no—
199C2×C3×D12—31no—
200C2×C3×C4×D3—31no—
201D3×#67—24no—
202D3×#67—68no—
203D3×#67—64no—
204D3×#67—64no—
205C2×#626—31no—
206C2×#626—31no—
207C2×#626—31no—
208C2×#626—31no—
209C2×#626—31no—
210C2×#626—31no—
211C2×#626—31no—
212C2×#626—31no—
213C2×#626—61no—
214C2×#626—61no—
215C2×#626—61no—
216C2×#626C2×D311yescharacteristic
217C2×#626C2×D311yescharacteristic, complemented
218C2×#625—31no—
219C2×#625—31no—
220C2×#625—31no—
221C2×#625—61no—
222C2×#625C2×D311yescharacteristic
223C2×D3×Dic3—31no—
224C2×D3×Dic3—31no—
225C2×D3×Dic3—61no—
226C2×D3×Dic3C2×D311yescharacteristic, complemented
227#3757—31no—
228#3752—31no—
229#3752—31no—
230#3752—31no—
231C4⋊(C3⋊Dic3)—31no—
232#3750—31no—
233C3×#217—31no—
234C3×#217—31no—
235C3×#217—31no—
236C3×#217—31no—
237C3×#217—31no—
238C3×(C2×D3)⋊C4—31no—
239C3×(C2×D3)⋊C4—31no—
240C3×(C2×D3)⋊C4—31no—
241C3×(C2×D3)⋊C4—31no—
242C3×(C2×D3)⋊C4—31no—
243C3×(C2×D3)⋊C4—31no—
244C3×(C2×D3)⋊C4—31no—
245C3×C4⋊Dic3—31no—
246C3×Dic3⋊C4—31no—
247#3724—31no—
248Dic3⋊Dic3—31no—
249Dic3⋊Dic3—31no—
250Dic3⋊Dic3—31no—
251Dic3⋊Dic3—31no—
252Dic3⋊Dic3—31no—
253Dic3⋊Dic3—31no—
254Dic3⋊Dic3—61no—
255Dic3⋊Dic3—61no—
256Dic3⋊Dic3C2×D311yescharacteristic, complemented
257#3722—31no—
258#3722—31no—
259#3722—31no—
260#3722—31no—
261#3722—31no—
262#3722—31no—
263#3722—61no—
264#3722—61no—
265#3722C2×D311yescharacteristic, complemented
266(C2×D3)⋊Dic3—31no—
267(C2×D3)⋊Dic3—31no—
268(C2×D3)⋊Dic3—31no—
269(C2×D3)⋊Dic3—31no—
270(C2×D3)⋊Dic3—31no—
271(C2×D3)⋊Dic3—31no—
272(C2×D3)⋊Dic3—31no—
273(C2×D3)⋊Dic3—31no—
274(C2×D3)⋊Dic3—61no—
275(C2×D3)⋊Dic3—61no—
276(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
277(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
278(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
279(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
280(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
281C22×C33—21no—
282C22×C33—21no—
283C22×C33C2×D412yes—
284C22×C33C2411yescharacteristic
285C2×C3⋊(C3⋊D3)—21no—
286C2×C3⋊(C3⋊D3)—21no—
287C2×C3⋊(C3⋊D3)—21no—
288C2×C3×C3⋊D3—21no—
289C2×C3×C3⋊D3—21no—
290C2×C3×C3⋊D3—21no—
291C2×C3×C3⋊D3—21no—
292C2×C3×C3⋊D3—21no—
293C2×C3×C3⋊D3—21no—
294C2×C32×D3—21no—
295C2×C32×D3—21no—
296C2×C32×D3—21no—
297C2×C32×D3—21no—
298C2×C32×D3—21no—
299C2×C32×D3—21no—
300C2×C32×D3—21no—
301C2×C32×D3—44no—
302C2×C32×D3C2×D412yes—
303C2×C32×D3C2×D412yes—
304D3×C3⋊D3—44no—
305C3×D32—44no—
306C3⋊(C3⋊Dic3)—21no—
307C3×C3⋊Dic3—21no—
308C3×C3⋊Dic3—21no—
309C3×C3⋊Dic3—21no—
310C3×C3⋊Dic3—21no—
311C32×Dic3—21no—
312C32×Dic3—21no—
313C32×Dic3—21no—
314C22×C3×D4—91no—
315C22×#67—31no—
316C22×#67—91no—
317C22×#67—91no—
318C22×#67—181no—
319C2×D3×D4—31no—
320C2×D3×D4—91no—
321C3×#121—91no—
322C2×C3×C22⋊C4—91no—
323#953—91no—
324#953—91no—
325C2×#217—31no—
326#939—31no—
327#939—91no—
328#939—91no—
329#939—91no—
330#939—91no—
331#939—91no—
332#939—181no—
333#937—91no—
334#937—91no—
335#937—91no—
336#937—91no—
337#935—91no—
338#935—91no—
339#930—31no—
340#930—91no—
341#930—91no—
342#930—91no—
343#930—91no—
344#930—181no—
345#929—91no—
346#929—91no—
347C2×(C2×D3)⋊C4—31no—
348#894—91no—
349#894—91no—
350#886—91no—
351#886—91no—
352#886—91no—
353#886—91no—
354#883—91no—
355#883—91no—
356#882—91no—
357#882—91no—
358#882—91no—
359#882—91no—
360#882—91no—
361#882—91no—
362C23×C32—21no—
363C23×C32—21no—
364C23×C32—21no—
365C23×C32—31no—
366C23×C32—31no—
367C23×C32—34no—
368C23×C32—31no—
369C23×C32—41no—
370C23×C32—121no—
371C23×C32—121no—
372C23×C32C22×D311yescharacteristic
373C23×C32C22×D311yescharacteristic
374C23×C32C22×D311yescharacteristic
375C22×C3⋊D3—31no—
376C22×C3⋊D3—31no—
377C22×C3⋊D3—31no—
378C22×C3⋊D3—61no—
379C22×C3⋊D3—61no—
380C22×C3⋊D3—61no—
381C22×C3⋊D3—62no—
382C22×C3⋊D3—121no—
383C22×C3⋊D3—121no—
384C22×C3⋊D3—121no—
385C22×C3⋊D3C22×D311yescharacteristic
386C22×C3⋊D3C22×D311yescharacteristic
387C22×C3×D3—24no—
388C22×C3×D3—21no—
389C22×C3×D3—21no—
390C22×C3×D3—21no—
391C22×C3×D3—31no—
392C22×C3×D3—31no—
393C22×C3×D3—31no—
394C22×C3×D3—31no—
395C22×C3×D3—41no—
396C22×C3×D3—41no—
397C22×C3×D3—41no—
398C22×C3×D3—41no—
399C22×C3×D3—42no—
400C22×C3×D3—42no—
401C22×C3×D3—61no—
402C22×C3×D3—61no—
403C22×C3×D3—62no—
404C22×C3×D3—62no—
405C22×C3×D3—121no—
406C22×C3×D3—121no—
407C22×C3×D3—121no—
408C22×C3×D3—121no—
409C22×C3×D3D1214yescomplemented
410C22×C3×D3#6714yescomplemented
411C22×C3×D3C22×D311yescharacteristic
412C22×C3×D3C22×D311yescharacteristic
413C22×C3×D3C22×D311yescharacteristic
414C22×C3×D3C22×D311yescharacteristic
415C22×C3×D3C22×D311yescharacteristic
416C22×C3×D3C22×D311yescharacteristic
417C2×D32—22no—
418C2×D32—41no—
419C2×D32—41no—
420C2×D32—64no—
421C2×D32—62no—
422C2×D32—62no—
423C2×D32—121no—
424C2×D32—121no—
425C2×D32—121no—
426C2×D32—121no—
427C2×D32—122no—
428C2×D32—122no—
429C32×D4—62no—
430C2×C32×C4—31no—
431C2×C32×C4—31no—
432C2×C32×C4—31no—
433C2×C32×C4—121no—
434#638—22no—
435#638—22no—
436#638—62no—
437#638—62no—
438#638—62no—
439#638—64no—
440#638—62no—
441#638—62no—
442#638—122no—
443#638—122no—
444#638—124no—
445#638—121no—
446C2×C3⋊Dic3—31no—
447C2×C3⋊Dic3—31no—
448C2×C3⋊Dic3—31no—
449C2×C3⋊Dic3—41no—
450C2×C3⋊Dic3—61no—
451C2×C3⋊Dic3—61no—
452C2×C3⋊Dic3—61no—
453C2×C3⋊Dic3—62no—
454C2×C3⋊Dic3—121no—
455C2×C3⋊Dic3C22×D311yescharacteristic
456C2×C3⋊Dic3C22×D311yescharacteristic
457C2×C3⋊Dic3C22×D311yescharacteristic
458C2×C3⋊Dic3C22×D311yescharacteristic
459C4⋊(C3⋊D3)—121no—
460C3×#67—22no—
461C3×#67—22no—
462C3×#67—42no—
463C3×#67—62no—
464C3×#67—62no—
465C3×#67—64no—
466C3×#67—62no—
467C3×#67—62no—
468C3×#67—62no—
469C3×#67—62no—
470C3×#67—62no—
471C3×#67—122no—
472C3×#67—121no—
473C2×C3×Dic3—21no—
474C2×C3×Dic3—21no—
475C2×C3×Dic3—21no—
476C2×C3×Dic3—31no—
477C2×C3×Dic3—31no—
478C2×C3×Dic3—31no—
479C2×C3×Dic3—31no—
480C2×C3×Dic3—31no—
481C2×C3×Dic3—31no—
482C2×C3×Dic3—31no—
483C2×C3×Dic3—31no—
484C2×C3×Dic3—41no—
485C2×C3×Dic3—41no—
486C2×C3×Dic3—42no—
487C2×C3×Dic3—61no—
488C2×C3×Dic3—61no—
489C2×C3×Dic3—61no—
490C2×C3×Dic3—61no—
491C2×C3×Dic3—62no—
492C2×C3×Dic3—121no—
493C2×C3×Dic3—121no—
494C2×C3×Dic3—122no—
495C2×C3×Dic3C22×D311yescharacteristic
496C2×C3×Dic3C22×D311yescharacteristic
497C2×C3×Dic3C22×D311yescharacteristic
498C2×C3×Dic3C22×D311yescharacteristic
499C2×C3×Dic3C22×D311yescharacteristic
500C2×C3×Dic3C22×D311yescharacteristic
501C3×D12—62no—
502C3×D12—121no—
503C3×C4×D3—62no—
504#626—22no—
505#626—41no—
506#626—64no—
507#626—62no—
508#626—62no—
509#626—121no—
510#626—121no—
511#626—122no—
512#626—121no—
513#626—121no—
514#626—122no—
515#626—121no—
516#626—121no—
517#625—22no—
518#625—64no—
519#625—62no—
520#625—62no—
521#625—121no—
522D3×Dic3—22no—
523D3×Dic3—64no—
524D3×Dic3—62no—
525D3×Dic3—62no—
526#534—271noSylow
527C2×C33—22no—
528C2×C33C22×D411yescharacteristic
529C2×C33H(5,𝔽2)11yescharacteristic
530C2×C33H(5,𝔽2)11yescharacteristic
531C3⋊(C3⋊D3)—41no—
532C3×C3⋊D3—41no—
533C3×C3⋊D3—41no—
534C32×D3—22no—
535C32×D3—22no—
536C32×D3—41no—
537C24×C3—31no—
538C24×C3—31no—
539C24×C3—61no—
540C24×C3—91no—
541C23×D3—31no—
542C23×D3—31no—
543C23×D3—91no—
544C23×D3—91no—
545C23×D3—91no—
546C23×D3—181no—
547C23×D3D3211yescharacteristic
548C2×C3×D4—31no—
549C2×C3×D4—31no—
550C2×C3×D4—61no—
551C2×C3×D4—91no—
552C2×C3×D4—91no—
553C2×C3×D4—91no—
554C2×C3×D4—91no—
555C2×C3×D4—91no—
556C2×C3×D4—184no—
557C22×C3×C4—31no—
558C22×C3×C4—31no—
559C22×C3×C4—61no—
560C22×C3×C4—91no—
561C22×C3×C4—91no—
562C2×#67—31no—
563C2×#67—31no—
564C2×#67—31no—
565C2×#67—31no—
566C2×#67—31no—
567C2×#67—31no—
568C2×#67—31no—
569C2×#67—31no—
570C2×#67—61no—
571C2×#67—61no—
572C2×#67—64no—
573C2×#67—91no—
574C2×#67—91no—
575C2×#67—91no—
576C2×#67—91no—
577C2×#67—91no—
578C2×#67—91no—
579C2×#67—91no—
580C2×#67—91no—
581C2×#67—91no—
582C2×#67—91no—
583C2×#67—91no—
584C2×#67—91no—
585C2×#67—91no—
586C2×#67—181no—
587C2×#67—181no—
588C2×#67—181no—
589C2×#67—181no—
590C2×#67—181no—
591C2×#67—181no—
592C2×#67—184no—
593C2×#67—184no—
594C2×#67—188no—
595C2×#67—361no—
596C2×#67D3211yescharacteristic, complemented
597C22×Dic3—31no—
598C22×Dic3—31no—
599C22×Dic3—31no—
600C22×Dic3—61no—
601C22×Dic3—91no—
602C22×Dic3—91no—
603C22×Dic3—181no—
604C22×Dic3D3211yescharacteristic, complemented
605D3×D4—64no—
606D3×D4—184no—
607C2×D12—31no—
608C2×D12—31no—
609C2×D12—91no—
610C2×D12—91no—
611C2×D12—91no—
612C2×D12—91no—
613C2×D12—91no—
614C2×D12—181no—
615C2×C4×D3—31no—
616C2×C4×D3—91no—
617C3×C4⋊C4—91no—
618C3×C22⋊C4—91no—
619C3×C22⋊C4—91no—
620C3×C22⋊C4—91no—
621C3×C22⋊C4—91no—
622C3×C22⋊C4—91no—
623C3×C22⋊C4—91no—
624#217—31no—
625#217—31no—
626#217—31no—
627#217—31no—
628#217—31no—
629#217—91no—
630#217—91no—
631#217—91no—
632#217—91no—
633#217—91no—
634#217—181no—
635(C2×D3)⋊C4—31no—
636(C2×D3)⋊C4—31no—
637(C2×D3)⋊C4—31no—
638(C2×D3)⋊C4—31no—
639(C2×D3)⋊C4—31no—
640(C2×D3)⋊C4—31no—
641(C2×D3)⋊C4—31no—
642(C2×D3)⋊C4—91no—
643(C2×D3)⋊C4—91no—
644(C2×D3)⋊C4—91no—
645(C2×D3)⋊C4—91no—
646(C2×D3)⋊C4—91no—
647(C2×D3)⋊C4—91no—
648(C2×D3)⋊C4—91no—
649(C2×D3)⋊C4—91no—
650(C2×D3)⋊C4—91no—
651(C2×D3)⋊C4—91no—
652(C2×D3)⋊C4—91no—
653(C2×D3)⋊C4—91no—
654(C2×D3)⋊C4—91no—
655(C2×D3)⋊C4—181no—
656(C2×D3)⋊C4—181no—
657(C2×D3)⋊C4—181no—
658C4⋊Dic3—31no—
659C4⋊Dic3—91no—
660C4⋊Dic3—91no—
661C4⋊Dic3—91no—
662C4⋊Dic3—91no—
663C4⋊Dic3—181no—
664Dic3⋊C4—31no—
665Dic3⋊C4—91no—
666Dic3⋊C4—91no—
667Dic3⋊C4—91no—
668Dic3⋊C4—91no—
669Dic3⋊C4—91no—
670Dic3⋊C4—181no—
671C22×C32—21no—
672C22×C32—21no—
673C22×C32—21no—
674C22×C32—21no—
675C22×C32—21no—
676C22×C32—21no—
677C22×C32—21no—
678C22×C32—21no—
679C22×C32—21no—
680C22×C32—22no—
681C22×C32—22no—
682C22×C32—22no—
683C22×C32—32no—
684C22×C32—32no—
685C22×C32—41no—
686C22×C32—42no—
687C22×C32—41no—
688C22×C32—41no—
689C22×C32—41no—
690C22×C32—41no—
691C22×C32—41no—
692C22×C32—41no—
693C22×C32—61no—
694C22×C32—61no—
695C22×C32—61no—
696C22×C32—61no—
697C22×C32—61no—
698C22×C32—61no—
699C22×C32—61no—
700C22×C32—81no—
701C22×C32—81no—
702C22×C32—124no—
703C22×C32C2×D1212yes—
704C22×C32D3×D412yes—
705C22×C32C2×#6712yes—
706C22×C32C23×D311yescharacteristic
707C22×C32C23×D311yescharacteristic
708C22×C32C23×D311yescharacteristic
709C2×C3⋊D3—21no—
710C2×C3⋊D3—21no—
711C2×C3⋊D3—21no—
712C2×C3⋊D3—21no—
713C2×C3⋊D3—21no—
714C2×C3⋊D3—21no—
715C2×C3⋊D3—61no—
716C2×C3⋊D3—62no—
717C2×C3⋊D3—61no—
718C2×C3⋊D3—61no—
719C2×C3⋊D3—61no—
720C2×C3⋊D3—61no—
721C2×C3⋊D3—61no—
722C2×C3⋊D3—61no—
723C2×C3⋊D3—61no—
724C2×C3⋊D3—61no—
725C2×C3⋊D3—121no—
726C2×C3⋊D3—121no—
727C2×C3⋊D3—122no—
728C2×C3⋊D3—121no—
729C2×C3⋊D3—121no—
730C2×C3⋊D3—121no—
731C2×C3⋊D3—121no—
732C2×C3⋊D3—121no—
733C2×C3⋊D3—121no—
734C2×C3⋊D3—124no—
735C2×C3⋊D3—241no—
736C2×C3⋊D3—241no—
737C2×C3×D3—22no—
738C2×C3×D3—22no—
739C2×C3×D3—21no—
740C2×C3×D3—21no—
741C2×C3×D3—21no—
742C2×C3×D3—21no—
743C2×C3×D3—21no—
744C2×C3×D3—21no—
745C2×C3×D3—21no—
746C2×C3×D3—21no—
747C2×C3×D3—21no—
748C2×C3×D3—21no—
749C2×C3×D3—21no—
750C2×C3×D3—21no—
751C2×C3×D3—21no—
752C2×C3×D3—21no—
753C2×C3×D3—22no—
754C2×C3×D3—22no—
755C2×C3×D3—41no—
756C2×C3×D3—41no—
757C2×C3×D3—41no—
758C2×C3×D3—41no—
759C2×C3×D3—41no—
760C2×C3×D3—44no—
761C2×C3×D3—44no—
762C2×C3×D3—48no—
763C2×C3×D3—62no—
764C2×C3×D3—61no—
765C2×C3×D3—61no—
766C2×C3×D3—61no—
767C2×C3×D3—61no—
768C2×C3×D3—61no—
769C2×C3×D3—61no—
770C2×C3×D3—61no—
771C2×C3×D3—61no—
772C2×C3×D3—61no—
773C2×C3×D3—61no—
774C2×C3×D3—61no—
775C2×C3×D3—61no—
776C2×C3×D3—121no—
777C2×C3×D3—121no—
778C2×C3×D3—121no—
779C2×C3×D3—121no—
780C2×C3×D3—121no—
781C2×C3×D3—124no—
782C2×C3×D3—124no—
783C2×C3×D3C2×D1212yes—
784C2×C3×D3C2×D1212yes—
785C2×C3×D3C2×#6712yes—
786C2×C3×D3C2×#6712yes—
787D32—44no—
788D32—128no—
789D32—124no—
790D32—124no—
791C32×C4—61no—
792C32×C4—61no—
793C32×C4—61no—
794C3⋊Dic3—21no—
795C3⋊Dic3—21no—
796C3⋊Dic3—21no—
797C3⋊Dic3—21no—
798C3⋊Dic3—61no—
799C3⋊Dic3—62no—
800C3⋊Dic3—61no—
801C3⋊Dic3—61no—
802C3⋊Dic3—121no—
803C3⋊Dic3—121no—
804C3⋊Dic3—122no—
805C3×Dic3—22no—
806C3×Dic3—21no—
807C3×Dic3—21no—
808C3×Dic3—21no—
809C3×Dic3—21no—
810C3×Dic3—21no—
811C3×Dic3—21no—
812C3×Dic3—41no—
813C3×Dic3—41no—
814C3×Dic3—62no—
815C3×Dic3—62no—
816C3×Dic3—61no—
817C3×Dic3—61no—
818C3×Dic3—61no—
819C3×Dic3—61no—
820C3×Dic3—61no—
821C3×Dic3—61no—
822C3×Dic3—61no—
823C3×Dic3—61no—
824C3×Dic3—121no—
825C3×Dic3—121no—
826C22×D4—91no—
827C22×D4—271no—
828#123—271no—
829#123—271no—
830#123—271no—
831#123—271no—
832#121—91no—
833#121—271no—
834#121—271no—
835#121—271no—
836#120—271no—
837#120—271no—
838#120—271no—
839#120—271no—
840C2×C22⋊C4—91no—
841C33#53411yescharacteristic, complemented, Sylow
842C23×C3—21no—
843C23×C3—21no—
844C23×C3—21no—
845C23×C3—31no—
846C23×C3—31no—
847C23×C3—31no—
848C23×C3—31no—
849C23×C3—34no—
850C23×C3—34no—
851C23×C3—31no—
852C23×C3—31no—
853C23×C3—41no—
854C23×C3—61no—
855C23×C3—61no—
856C23×C3—64no—
857C23×C3—61no—
858C23×C3—91no—
859C23×C3—91no—
860C23×C3—121no—
861C23×C3—121no—
862C23×C3—121no—
863C23×C3—121no—
864C23×C3—122no—
865C23×C3—122no—
866C23×C3—182no—
867C23×C3—361no—
868C23×C3—361no—
869C23×C3C2×D3211yescharacteristic
870C23×C3C2×D3211yescharacteristic
871C23×C3C2×D3211yescharacteristic
872C22×D3—31no—
873C22×D3—31no—
874C22×D3—31no—
875C22×D3—31no—
876C22×D3—41no—
877C22×D3—41no—
878C22×D3—61no—
879C22×D3—61no—
880C22×D3—62no—
881C22×D3—62no—
882C22×D3—91no—
883C22×D3—91no—
884C22×D3—91no—
885C22×D3—121no—
886C22×D3—121no—
887C22×D3—121no—
888C22×D3—121no—
889C22×D3—181no—
890C22×D3—181no—
891C22×D3—181no—
892C22×D3—182no—
893C22×D3—182no—
894C22×D3—184no—
895C22×D3—182no—
896C22×D3—361no—
897C22×D3—361no—
898C22×D3—361no—
899C22×D3—361no—
900C22×D3—361no—
901C22×D3—361no—
902C22×D3—361no—
903C22×D3—362no—
904C22×D3—362no—
905C22×D3#62614yescomplemented
906C22×D3C2×D3211yescharacteristic
907C22×D3C2×D3211yescharacteristic
908C22×D3C2×D3211yescharacteristic
909C3×D4—62no—
910C3×D4—62no—
911C3×D4—122no—
912C3×D4—182no—
913C3×D4—182no—
914C3×D4—182no—
915C3×D4—182no—
916C3×D4—361no—
917C2×C3×C4—31no—
918C2×C3×C4—31no—
919C2×C3×C4—31no—
920C2×C3×C4—31no—
921C2×C3×C4—31no—
922C2×C3×C4—31no—
923C2×C3×C4—61no—
924C2×C3×C4—61no—
925C2×C3×C4—61no—
926C2×C3×C4—91no—
927C2×C3×C4—91no—
928C2×C3×C4—91no—
929C2×C3×C4—91no—
930C2×C3×C4—121no—
931C2×C3×C4—121no—
932C2×C3×C4—122no—
933C2×C3×C4—182no—
934C2×C3×C4—361no—
935#67—22no—
936#67—62no—
937#67—62no—
938#67—64no—
939#67—62no—
940#67—62no—
941#67—62no—
942#67—62no—
943#67—62no—
944#67—122no—
945#67—121no—
946#67—182no—
947#67—182no—
948#67—184no—
949#67—182no—
950#67—182no—
951#67—184no—
952#67—184no—
953#67—182no—
954#67—182no—
955#67—182no—
956#67—182no—
957#67—362no—
958#67—362no—
959#67—364no—
960#67—361no—
961#67—361no—
962#67—361no—
963#67—361no—
964#67—361no—
965#67—362no—
966C2×Dic3—31no—
967C2×Dic3—31no—
968C2×Dic3—31no—
969C2×Dic3—31no—
970C2×Dic3—31no—
971C2×Dic3—31no—
972C2×Dic3—31no—
973C2×Dic3—31no—
974C2×Dic3—41no—
975C2×Dic3—61no—
976C2×Dic3—61no—
977C2×Dic3—61no—
978C2×Dic3—61no—
979C2×Dic3—62no—
980C2×Dic3—91no—
981C2×Dic3—91no—
982C2×Dic3—91no—
983C2×Dic3—121no—
984C2×Dic3—121no—
985C2×Dic3—122no—
986C2×Dic3—181no—
987C2×Dic3—181no—
988C2×Dic3—181no—
989C2×Dic3—182no—
990C2×Dic3—182no—
991C2×Dic3—184no—
992C2×Dic3—361no—
993C2×Dic3C2×D3211yescharacteristic
994C2×Dic3C2×D3211yescharacteristic
995C2×Dic3C2×D3211yescharacteristic
996D12—62no—
997D12—121no—
998D12—182no—
999D12—361no—
1000D12—361no—
1001D12—362no—
1002D12—361no—
1003D12—361no—
1004C4×D3—62no—
1005C4×D3—182no—
1006C2×C32—22no—
1007C2×C32—22no—
1008C2×C32—22no—
1009C2×C32—21no—
1010C2×C32—21no—
1011C2×C32—21no—
1012C2×C32—21no—
1013C2×C32—21no—
1014C2×C32—21no—
1015C2×C32—21no—
1016C2×C32—21no—
1017C2×C32—21no—
1018C2×C32—41no—
1019C2×C32—41no—
1020C2×C32—41no—
1021C2×C32—42no—
1022C2×C32—42no—
1023C2×C32—42no—
1024C2×C32—62no—
1025C2×C32—62no—
1026C2×C32—82no—
1027C2×C32—121no—
1028C2×C32C22×D1211yescharacteristic
1029C2×C32C2×D3×D411yescharacteristic
1030C2×C32#100411yescharacteristic
1031C2×C32#100411yescharacteristic
1032C2×C32#100411yescharacteristic
1033C2×C32#100411yescharacteristic
1034C2×C32#100411yescharacteristic
1035C2×C32#100911yescharacteristic
1036C2×C32C22×#6711yescharacteristic
1037C3⋊D3—41no—
1038C3⋊D3—41no—
1039C3⋊D3—121no—
1040C3⋊D3—122no—
1041C3⋊D3—121no—
1042C3⋊D3—121no—
1043C3⋊D3—241no—
1044C3⋊D3—241no—
1045C3⋊D3—242no—
1046C3×D3—24no—
1047C3×D3—22no—
1048C3×D3—22no—
1049C3×D3—22no—
1050C3×D3—22no—
1051C3×D3—42no—
1052C3×D3—41no—
1053C3×D3—41no—
1054C3×D3—81no—
1055C3×D3—122no—
1056C3×D3—121no—
1057C3×D3—121no—
1058C3×D3—121no—
1059C3×D3—121no—
1060C3×D3—241no—
1061C24—31no—
1062C24—91no—
1063C24—271no—
1064C2×D4—31no—
1065C2×D4—91no—
1066C2×D4—91no—
1067C2×D4—91no—
1068C2×D4—91no—
1069C2×D4—91no—
1070C2×D4—184no—
1071C2×D4—271no—
1072C2×D4—271no—
1073C2×D4—271no—
1074C2×D4—271no—
1075C2×D4—271no—
1076C2×D4—271no—
1077C2×D4—544no—
1078C22×C4—31no—
1079C22×C4—91no—
1080C22×C4—91no—
1081C22×C4—271no—
1082C4⋊C4—91no—
1083C4⋊C4—271no—
1084C4⋊C4—271no—
1085C4⋊C4—271no—
1086C22⋊C4—91no—
1087C22⋊C4—91no—
1088C22⋊C4—91no—
1089C22⋊C4—91no—
1090C22⋊C4—91no—
1091C22⋊C4—91no—
1092C22⋊C4—271no—
1093C22⋊C4—271no—
1094C22⋊C4—271no—
1095C22⋊C4—271no—
1096C22⋊C4—271no—
1097C22⋊C4—271no—
1098C22×C3—21no—
1099C22×C3—21no—
1100C22×C3—21no—
1101C22×C3—21no—
1102C22×C3—21no—
1103C22×C3—21no—
1104C22×C3—21no—
1105C22×C3—21no—
1106C22×C3—21no—
1107C22×C3—22no—
1108C22×C3—22no—
1109C22×C3—22no—
1110C22×C3—32no—
1111C22×C3—32no—
1112C22×C3—32no—
1113C22×C3—32no—
1114C22×C3—41no—
1115C22×C3—41no—
1116C22×C3—41no—
1117C22×C3—41no—
1118C22×C3—41no—
1119C22×C3—41no—
1120C22×C3—41no—
1121C22×C3—42no—
1122C22×C3—62no—
1123C22×C3—62no—
1124C22×C3—62no—
1125C22×C3—62no—
1126C22×C3—61no—
1127C22×C3—61no—
1128C22×C3—61no—
1129C22×C3—61no—
1130C22×C3—61no—
1131C22×C3—61no—
1132C22×C3—61no—
1133C22×C3—61no—
1134C22×C3—61no—
1135C22×C3—61no—
1136C22×C3—61no—
1137C22×C3—61no—
1138C22×C3—61no—
1139C22×C3—61no—
1140C22×C3—81no—
1141C22×C3—81no—
1142C22×C3—121no—
1143C22×C3—121no—
1144C22×C3—121no—
1145C22×C3—121no—
1146C22×C3—121no—
1147C22×C3—124no—
1148C22×C3—124no—
1149C22×C3—128no—
1150C22×C3—181no—
1151C22×C3—181no—
1152C22×C3—181no—
1153C22×C3—181no—
1154C22×C3—181no—
1155C22×C3—181no—
1156C22×C3—364no—
1157C22×C3D3×D1212yes—
1158C22×C3C2×#62612yes—
1159C22×C3D3×#6712yes—
1160C22×C3C22×D3211yescharacteristic
1161C22×C3C22×D3211yescharacteristic
1162C22×C3C22×D3211yescharacteristic
1163C2×D3—21no—
1164C2×D3—21no—
1165C2×D3—21no—
1166C2×D3—21no—
1167C2×D3—21no—
1168C2×D3—21no—
1169C2×D3—21no—
1170C2×D3—44no—
1171C2×D3—62no—
1172C2×D3—61no—
1173C2×D3—61no—
1174C2×D3—61no—
1175C2×D3—61no—
1176C2×D3—61no—
1177C2×D3—61no—
1178C2×D3—61no—
1179C2×D3—61no—
1180C2×D3—61no—
1181C2×D3—61no—
1182C2×D3—61no—
1183C2×D3—61no—
1184C2×D3—121no—
1185C2×D3—121no—
1186C2×D3—121no—
1187C2×D3—121no—
1188C2×D3—121no—
1189C2×D3—124no—
1190C2×D3—124no—
1191C2×D3—182no—
1192C2×D3—181no—
1193C2×D3—181no—
1194C2×D3—181no—
1195C2×D3—181no—
1196C2×D3—181no—
1197C2×D3—181no—
1198C2×D3—181no—
1199C2×D3—181no—
1200C2×D3—181no—
1201C2×D3—361no—
1202C2×D3—361no—
1203C2×D3—361no—
1204C2×D3—361no—
1205C2×D3—361no—
1206C2×D3—361no—
1207C2×D3—361no—
1208C2×D3—361no—
1209C2×D3—362no—
1210C2×D3—364no—
1211C2×D3—368no—
1212C2×D3—364no—
1213C2×D3—364no—
1214C2×D3—721no—
1215C2×D3—721no—
1216C2×D3C2×#62612yes—
1217C2×D3C2×#62612yes—
1218C3×C4—62no—
1219C3×C4—61no—
1220C3×C4—61no—
1221C3×C4—61no—
1222C3×C4—61no—
1223C3×C4—61no—
1224C3×C4—61no—
1225C3×C4—121no—
1226C3×C4—121no—
1227C3×C4—181no—
1228C3×C4—181no—
1229C3×C4—181no—
1230C3×C4—181no—
1231Dic3—21no—
1232Dic3—21no—
1233Dic3—21no—
1234Dic3—62no—
1235Dic3—62no—
1236Dic3—61no—
1237Dic3—61no—
1238Dic3—61no—
1239Dic3—61no—
1240Dic3—61no—
1241Dic3—61no—
1242Dic3—61no—
1243Dic3—61no—
1244Dic3—121no—
1245Dic3—121no—
1246Dic3—182no—
1247Dic3—181no—
1248Dic3—181no—
1249Dic3—181no—
1250Dic3—361no—
1251Dic3—361no—
1252Dic3—362no—
1253C32—21no—
1254C32—21no—
1255C32—21no—
1256C32—41no—
1257C32#549311yescharacteristic, complemented
1258C32#560511yescharacteristic, complemented
1259C32#580411yescharacteristic, complemented
1260C23—31no—
1261C23—31no—
1262C23—34no—
1263C23—31no—
1264C23—91no—
1265C23—91no—
1266C23—121no—
1267C23—121no—
1268C23—182no—
1269C23—271no—
1270C23—361no—
1271C23—361no—
1272C23—542no—
1273C23—1081no—
1274C23—1081no—
1275C23D3311yescharacteristic
1276D4—62no—
1277D4—182no—
1278D4—182no—
1279D4—182no—
1280D4—182no—
1281D4—361no—
1282D4—542no—
1283D4—542no—
1284D4—542no—
1285D4—1081no—
1286D4—1081no—
1287D4—1081no—
1288C2×C4—31no—
1289C2×C4—31no—
1290C2×C4—31no—
1291C2×C4—91no—
1292C2×C4—91no—
1293C2×C4—91no—
1294C2×C4—91no—
1295C2×C4—121no—
1296C2×C4—182no—
1297C2×C4—271no—
1298C2×C4—361no—
1299C2×C4—542no—
1300C2×C3—22no—
1301C2×C3—22no—
1302C2×C3—22no—
1303C2×C3—21no—
1304C2×C3—21no—
1305C2×C3—21no—
1306C2×C3—21no—
1307C2×C3—21no—
1308C2×C3—21no—
1309C2×C3—21no—
1310C2×C3—21no—
1311C2×C3—21no—
1312C2×C3—42no—
1313C2×C3—42no—
1314C2×C3—42no—
1315C2×C3—41no—
1316C2×C3—41no—
1317C2×C3—41no—
1318C2×C3—64no—
1319C2×C3—62no—
1320C2×C3—62no—
1321C2×C3—62no—
1322C2×C3—62no—
1323C2×C3—82no—
1324C2×C3—122no—
1325C2×C3—121no—
1326C2×C3—121no—
1327C2×C3—241no—
1328C2×C3—361no—
1329C2×C3—361no—
1330C2×C3C2×D3×D1211yescharacteristic
1331C2×C3#6430711yescharacteristic
1332C2×C3#6431311yescharacteristic
1333C2×C3#6431411yescharacteristic
1334C2×C3C22×#62611yescharacteristic
1335C2×C3C2×D3×#6711yescharacteristic
1336C2×C3#6433011yescharacteristic
1337C2×C3#6433011yescharacteristic
1338C2×C3#6433011yescharacteristic
1339D3—22no—
1340D3—22no—
1341D3—41no—
1342D3—122no—
1343D3—121no—
1344D3—121no—
1345D3—121no—
1346D3—121no—
1347D3—241no—
1348D3—362no—
1349D3—361no—
1350D3—361no—
1351D3—361no—
1352D3—721no—
1353D3—721no—
1354D3—722no—
1355C22—21no—
1356C22—21no—
1357C22—32no—
1358C22—32no—
1359C22—61no—
1360C22—61no—
1361C22—61no—
1362C22—61no—
1363C22—61no—
1364C22—61no—
1365C22—61no—
1366C22—124no—
1367C22—181no—
1368C22—181no—
1369C22—181no—
1370C22—181no—
1371C22—181no—
1372C22—181no—
1373C22—364no—
1374C22—541no—
1375C22—541no—
1376C22—541no—
1377C22—1084no—
1378C22D3×#62612yes—
1379C22C2×D3311yescharacteristic
1380C4—61no—
1381C4—61no—
1382C4—61no—
1383C4—181no—
1384C4—181no—
1385C4—181no—
1386C4—181no—
1387C4—541no—
1388C3—21no—
1389C3—21no—
1390C3—21no—
1391C3—41no—
1392C3#1059507211yescharacteristic, complemented
1393C3#1059530211yescharacteristic, complemented
1394C3#1059551911yescharacteristic, complemented
1395C2—22no—
1396C2—62no—
1397C2—62no—
1398C2—121no—
1399C2—361no—
1400C2—361no—
1401C2—1081no—
1402C2#1172441411yescharacteristic
1403C2C2×D3×#62611yescharacteristic
1404C2#1172441811yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC23×C33C23
hypercenterC23D33
hypocenterC33#534
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
1. C2×D3×#638C2semidirect
2. C2×C3×D3×#67C2semidirect
3. #11723717C2semidirect
4. #11723635C2semidirect
5. #11723632C2semidirect
6. C3×#63978C2semidirect
7. C2×C3×(C2×D3)⋊Dic3C2semidirect
8. #11722990C2semidirect
9. #11722989C2semidirect
10. #11722988C2semidirect
11. #11722987C2semidirect
12. #11722950C2semidirect
13. #11722949C2semidirect
14. #11722948C2semidirect
15. #11722947C2semidirect
20. C22×D3×C3⋊D3C22semidirect
21. C22×C3×D32C22semidirect
22. C2×#6312C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×#638C22semidirect
25. C22×C3×C3⋊Dic3C22semidirect
26. C2×C32×#67C22semidirect
27. C22×C32×Dic3C22semidirect
28. C2×#6295C22semidirect
30. C2×#6292C22semidirect
32. C2×#6291C22semidirect
34. C2×D3×C3⋊Dic3C22semidirect
37. C2×C3×#626C22semidirect
39. C2×C3×D3×Dic3C22semidirect
40. #88815C22semidirect
41. #88814C22semidirect
42. #88814C22semidirect
43. #88807C22semidirect
44. Dic3⋊(C3⋊Dic3)C22semidirect
45. #88804C22semidirect
46. #88804C22semidirect
47. #88803C22semidirect
48. (C2×D3)⋊(C3⋊Dic3)C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
50. C3×#3722C22semidirect
51. C3×(C2×D3)⋊Dic3C22semidirect
52. C3×(C2×D3)⋊Dic3C22semidirect
53. C3×(C2×D3)⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
62. C2×D3×#67D3semidirect
81. #63978D3semidirect
91. C2×(C2×D3)⋊Dic3D3semidirect
110. C22×C32×D3D4semidirect
157. C22×D32C2×D3semidirect
171. C2×#638C2×D3semidirect
172. C2×#638C2×D3semidirect
174. C22×C3⋊Dic3C2×D3semidirect
188. C2×C3×#67C2×D3semidirect
189. C2×C3×#67C2×D3semidirect
195. C22×C3×Dic3C2×D3semidirect
196. C22×C3×Dic3C2×D3semidirect
217. C2×#626C2×D3semidirect
226. C2×D3×Dic3C2×D3semidirect
256. Dic3⋊Dic3C2×D3semidirect
265. #3722C2×D3semidirect
276. (C2×D3)⋊Dic3C2×D3semidirect
277. (C2×D3)⋊Dic3C2×D3semidirect
278. (C2×D3)⋊Dic3C2×D3semidirect
279. (C2×D3)⋊Dic3C2×D3semidirect
280. (C2×D3)⋊Dic3C2×D3semidirect
409. C22×C3×D3D12semidirect
410. C22×C3×D3#67semidirect
596. C2×#67D32semidirect
604. C22×Dic3D32semidirect
841. C33#534semidirect
905. C22×D3#626semidirect
1257. C32#5493semidirect
1258. C32#5605semidirect
1259. C32#5804semidirect
1392. C3#10595072semidirect
1393. C3#10595302semidirect
1394. C3#10595519semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#6382
C2×C3×D3×#672
#117237172
#117236352
#117236322
C3×#639782
C2×C3×(C2×D3)⋊Dic32
#117229902
#117229892
#117229882
#117229872
#117229502
#117229492
#117229482
#117229472
#105955193
#105953023
#105950723