Finite Group Databasebeta

← #13177338

Subgroups — #13177338

Order 1728.

2660 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89076C211yesmaximal, characteristic, complemented
2C2×#89026C211yesmaximal, characteristic, complemented
3C3×#64139C211yesmaximal, characteristic, complemented
4C32×#930C211yesmaximal, characteristic, complemented
5#11723643C212yesmaximal, complemented
6#11723633C212yesmaximal, complemented
7#11723542C212yesmaximal, complemented
8#11723532C211yesmaximal, characteristic, complemented
9#11723531C211yesmaximal, characteristic, complemented
10#11723528C212yesmaximal, complemented
11#11723413C211yesmaximal, characteristic, complemented
12#10596078—31nomaximal
13#10595082—34nomaximal
14C22×D3×C3⋊D3C2212yes—
15C22×C33×C4C2211yescharacteristic, complemented
16C2×#6312C2211yescharacteristic
17C2×#6312C2211yescharacteristic, complemented
18#89076—24no—
19C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
20C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
21C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
22C2×#6308C2211yescharacteristic, complemented
23C2×C3×#638C2212yescomplemented
24C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
25C2×C32×#67C2212yescomplemented
26C2×C32×D12C2211yescharacteristic
27C2×#6292C2212yescomplemented
28C2×#6291C2212yescomplemented
29C2×#6290C2212yes—
30#89026—24no—
31C3×#3752C2212yescomplemented
32C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
33C32×(C2×D3)⋊C4C2212yescomplemented
34C32×C4⋊Dic3C2211yescharacteristic, complemented
35#88804C2212yes—
36#88803C2212yescomplemented
37(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
38Dic3×C3⋊Dic3C2212yescomplemented
39C2×D4×C3⋊D3—31no—
40C2×#3828—31no—
41C2×#3828—34no—
42C2×#3828—64no—
43C2×#3802—34no—
44C32×#121—31no—
45#64149—32no—
46#64147—31no—
47#64146—32no—
48#64139D311yescharacteristic, complemented
49#64104—31no—
50#64101—31no—
51#64094—32no—
52#64091—32no—
53C3×#930—34no—
54C3×#930D314yescomplemented
55#63983—38no—
56#63979—38no—
57#63923—38no—
58#63916—34no—
59#63916—34no—
60#63913—38no—
61#63849—34no—
62C23×C33C2311yescharacteristic
63C22×C3⋊(C3⋊D3)C2311yescharacteristic
64C22×C3⋊(C3⋊D3)C2311yescharacteristic
65C22×C3×C3⋊D3C2312yes—
66C22×C32×D3C2312yes—
67C2×D3×C3⋊D3—24no—
68C2×D3×C3⋊D3—42no—
69C2×D3×C3⋊D3—42no—
70C2×C33×C4—22no—
71C2×C33×C4C2311yescharacteristic
72C2×C33×C4C2311yescharacteristic
73#6312—22no—
74#6312—22no—
75C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
76C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
77C4⋊(C3⋊(C3⋊D3))—22no—
78C4×C3⋊(C3⋊D3)—22no—
79C4×C3⋊(C3⋊D3)D414yescomplemented
80#6308—22no—
81C3×#638—42no—
82C2×C3×C3⋊Dic3C2312yes—
83C3×C4⋊(C3⋊D3)—22no—
84C32×#67—42no—
85C2×C32×Dic3C2312yes—
86C32×D12—22no—
87#6292—42no—
88#6291—42no—
89#6290—24no—
90#5607—94no—
91#5607—91no—
92C23×C3⋊D3—32no—
93C22×D32—38no—
94C2×C32×D4—32no—
95C2×C32×D4—31no—
96C22×C32×C4—24no—
97C22×C32×C4C2×D314yescomplemented
98C22×C32×C4C2×D311yescharacteristic, complemented
99C2×#638—31no—
100C2×#638—31no—
101C2×#638—34no—
102C2×#638—34no—
103C2×#638—32no—
104C2×#638—32no—
105C2×#638—64no—
106C2×#638—64no—
107C2×#638C2×D312yescomplemented
108D4×C3⋊D3—64no—
109#3828—64no—
110#3828—616no—
111#3828—632no—
112C2×C4⋊(C3⋊D3)—31no—
113C2×C4⋊(C3⋊D3)—34no—
114C2×C4⋊(C3⋊D3)—32no—
115C2×C4⋊(C3⋊D3)—64no—
116C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
117C2×C4×C3⋊D3—31no—
118C2×C4×C3⋊D3—34no—
119C2×C4×C3⋊D3—31no—
120C2×C4×C3⋊D3—34no—
121C2×C4×C3⋊D3—64no—
122C2×C4×C3⋊D3—64no—
123C2×#634—31no—
124C2×#634—34no—
125C2×#634—64no—
126C2×C3×#67—38no—
127C2×C3×#67C2×D318yescomplemented
128C2×C3×D12—34no—
129C2×C3×D12C2×D314yes—
130C2×#626—38no—
131C2×#626—38no—
132C2×#625—38no—
133#3802—616no—
134C32×C4⋊C4—31no—
135C32×C22⋊C4—32no—
136#3757—32no—
137#3752—32no—
138#3752—32no—
139#3752C2×D312yescomplemented
140C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
141C4×C3⋊Dic3—32no—
142C3×(C2×D3)⋊C4—38no—
143C3×(C2×D3)⋊C4C2×D318yescomplemented
144C3×C4⋊Dic3—34no—
145C3×C4⋊Dic3C2×D314yescomplemented
146#3722—38no—
147(C2×D3)⋊Dic3—38no—
148(C2×D3)⋊Dic3—38no—
149Dic32—38no—
150C22×C33—21no—
151C22×C33—21no—
152C22×C33—21no—
153C22×C33C2411yescharacteristic
154C2×C3⋊(C3⋊D3)—21no—
155C2×C3⋊(C3⋊D3)—21no—
156C2×C3⋊(C3⋊D3)—21no—
157C2×C3⋊(C3⋊D3)—21no—
158C2×C3⋊(C3⋊D3)—21no—
159C2×C3⋊(C3⋊D3)C2×D412yes—
160C2×C3×C3⋊D3—22no—
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3—22no—
163C2×C32×D3—22no—
164C2×C32×D3—22no—
165C2×C32×D3—22no—
166D3×C3⋊D3—48no—
167C33×C4—21no—
168C33×C4C2×D412yes—
169C3⋊(C3⋊Dic3)—21no—
170C3⋊(C3⋊Dic3)C2×D412yes—
171C3×C3⋊Dic3—22no—
172C32×Dic3—22no—
173C2×D3×D4—94no—
174C2×D3×D4—91no—
175C2×#235—94no—
176C2×#235—91no—
177C2×#235—184no—
178C3×#121—34no—
179C3×#121—91no—
180#940—98no—
181#940—92no—
182#938—94no—
183#938—91no—
184#937—98no—
185#937—92no—
186#930—34no—
187#930C3⋊D311yescharacteristic, complemented
188#895—94no—
189#895—91no—
190#892—94no—
191#892—91no—
192#885—98no—
193#885—92no—
194#882—98no—
195#882—92no—
196C23×C32—24no—
197C23×C32—32no—
198C23×C32C22×D314yes—
199C23×C32C22×D311yescharacteristic
200C22×C3⋊D3—31no—
201C22×C3⋊D3—31no—
202C22×C3⋊D3—34no—
203C22×C3⋊D3—34no—
204C22×C3⋊D3—64no—
205C22×C3⋊D3—64no—
206C22×C3⋊D3—64no—
207C22×C3⋊D3—122no—
208C22×C3⋊D3—122no—
209C22×C3⋊D3C22×D312yes—
210C22×C3×D3—38no—
211C22×C3×D3C22×D318yes—
212C2×D32—616no—
213C2×D32—128no—
214C2×D32—128no—
215C32×D4—62no—
216C32×D4—122no—
217C2×C32×C4—216no—
218C2×C32×C4—28no—
219C2×C32×C4—22no—
220C2×C32×C4—24no—
221C2×C32×C4—24no—
222C2×C32×C4—32no—
223C2×C32×C4C22×D314yes—
224C2×C32×C4C22×D314yes—
225C2×C32×C4C22×D311yescharacteristic
226C2×C32×C4C22×D311yescharacteristic
227#638—42no—
228#638—64no—
229#638—62no—
230#638—68no—
231#638—62no—
232#638—68no—
233#638—616no—
234#638—616no—
235#638—122no—
236C2×C3⋊Dic3—31no—
237C2×C3⋊Dic3—31no—
238C2×C3⋊Dic3—34no—
239C2×C3⋊Dic3—34no—
240C2×C3⋊Dic3—64no—
241C2×C3⋊Dic3—64no—
242C2×C3⋊Dic3C22×D312yes—
243C4⋊(C3⋊D3)—22no—
244C4⋊(C3⋊D3)—62no—
245C4⋊(C3⋊D3)—68no—
246C4⋊(C3⋊D3)—616no—
247C4⋊(C3⋊D3)—122no—
248C4×C3⋊D3—34no—
249C4×C3⋊D3—316no—
250C4×C3⋊D3—616no—
251C4×C3⋊D3—616no—
252C4×C3⋊D3—68no—
253C4×C3⋊D3—62no—
254#634—62no—
255#634—68no—
256#634—616no—
257C3×#67—48no—
258C3×#67—128no—
259C2×C3×Dic3—38no—
260C2×C3×Dic3C22×D318yes—
261C3×D12—28no—
262C3×D12—68no—
263#626—128no—
264#626—128no—
265#625—616no—
266#535—271noSylow
267C2×C33—41no—
268C2×C33C22×D411yescharacteristic
269C2×C33H(5,𝔽2)11yescharacteristic
270C2×C33H(5,𝔽2)11yescharacteristic
271C3⋊(C3⋊D3)—22no—
272C3⋊(C3⋊D3)—41no—
273C3×C3⋊D3—42no—
274C32×D3—42no—
275C23×D3—98no—
276C23×D3—92no—
277C2×C3×D4—38no—
278C2×C3×D4—34no—
279C2×C3×D4—92no—
280C2×C3×D4—91no—
281C22×C3×C4—24no—
282C22×C3×C4D3214yescomplemented
283C22×C3×C4C2×C3⋊D311yescharacteristic, complemented
284C2×#67—38no—
285C2×#67—98no—
286C2×#67—98no—
287C2×#67—94no—
288C2×#67—94no—
289C2×#67—91no—
290C2×#67—91no—
291C2×#67—92no—
292C2×#67—92no—
293C2×#67—184no—
294C2×#67—184no—
295C2×#67C2×C3⋊D312yescomplemented
296D3×D4—184no—
297D3×D4—1816no—
298#235—1816no—
299#235—184no—
300#235—1832no—
301C2×D12—34no—
302C2×D12—94no—
303C2×D12—91no—
304C2×D12—98no—
305C2×D12—92no—
306C2×D12—184no—
307C2×D12C2×C3⋊D311yescharacteristic
308C2×C4×D3—94no—
309C2×C4×D3—91no—
310C2×C4×D3—94no—
311C2×C4×D3—91no—
312C2×C4×D3—184no—
313C2×C4×D3—184no—
314C2×Dic6—94no—
315C2×Dic6—91no—
316C2×Dic6—184no—
317C3×C4⋊C4—34no—
318C3×C4⋊C4—91no—
319C3×C22⋊C4—38no—
320C3×C22⋊C4—92no—
321#217—98no—
322#217—92no—
323(C2×D3)⋊C4—38no—
324(C2×D3)⋊C4—98no—
325(C2×D3)⋊C4—98no—
326(C2×D3)⋊C4—92no—
327(C2×D3)⋊C4—92no—
328(C2×D3)⋊C4C2×C3⋊D312yescomplemented
329C4⋊Dic3—34no—
330C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
331C4×Dic3—98no—
332C4×Dic3—92no—
333C22×C32—28no—
334C22×C32—24no—
335C22×C32—21no—
336C22×C32—21no—
337C22×C32—21no—
338C22×C32—24no—
339C22×C32—24no—
340C22×C32—24no—
341C22×C32—44no—
342C22×C32—44no—
343C22×C32—62no—
344C22×C32—62no—
345C22×C32—62no—
346C22×C32C23×D314yes—
347C22×C32C23×D311yescharacteristic
348C2×C3⋊D3—22no—
349C2×C3⋊D3—22no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—32no—
352C2×C3⋊D3—38no—
353C2×C3⋊D3—68no—
354C2×C3⋊D3—61no—
355C2×C3⋊D3—61no—
356C2×C3⋊D3—68no—
357C2×C3⋊D3—64no—
358C2×C3⋊D3—61no—
359C2×C3⋊D3—61no—
360C2×C3⋊D3—61no—
361C2×C3⋊D3—64no—
362C2×C3⋊D3—64no—
363C2×C3⋊D3—64no—
364C2×C3⋊D3—64no—
365C2×C3⋊D3—124no—
366C2×C3⋊D3—124no—
367C2×C3⋊D3—124no—
368C2×C3⋊D3—124no—
369C2×C3⋊D3—128no—
370C2×C3×D3—28no—
371C2×C3×D3—28no—
372C2×C3×D3—28no—
373C2×C3×D3—68no—
374C2×C3×D3—68no—
375C2×C3×D3—68no—
376D32—1232no—
377C32×C4—28no—
378C32×C4—24no—
379C32×C4—21no—
380C32×C4—28no—
381C32×C4—62no—
382C32×C4D3×D418yes—
383C32×C4D3×D412yes—
384C3⋊Dic3—22no—
385C3⋊Dic3—32no—
386C3⋊Dic3—38no—
387C3⋊Dic3—68no—
388C3⋊Dic3—68no—
389C3⋊Dic3—64no—
390C3⋊Dic3—61no—
391C3×Dic3—28no—
392C3×Dic3—68no—
393C2×#41—271no—
394C22×D4—271no—
395#127—272no—
396#124—272no—
397#121—31no—
398#121—91no—
399#121—271no—
400#121—271no—
401#120—272no—
402#120—272no—
403#117—271no—
404C33#53511yescharacteristic, complemented, Sylow
405C23×C3—24no—
406C23×C3—38no—
407C23×C3—92no—
408C23×C3C2×D3214yes—
409C23×C3C22×C3⋊D311yescharacteristic
410C22×D3—38no—
411C22×D3—94no—
412C22×D3—91no—
413C22×D3—94no—
414C22×D3—91no—
415C22×D3—184no—
416C22×D3—184no—
417C22×D3—184no—
418C22×D3—1816no—
419C22×D3—362no—
420C22×D3—362no—
421C22×D3—368no—
422C22×D3—368no—
423C22×D3C22×C3⋊D312yes—
424C3×D4—68no—
425C3×D4—128no—
426C3×D4—182no—
427C3×D4—362no—
428C2×C3×C4—216no—
429C2×C3×C4—28no—
430C2×C3×C4—22no—
431C2×C3×C4—24no—
432C2×C3×C4—24no—
433C2×C3×C4—38no—
434C2×C3×C4—92no—
435C2×C3×C4C2×D3214yes—
436C2×C3×C4C2×D3214yes—
437C2×C3×C4C22×C3⋊D311yescharacteristic
438C2×C3×C4C22×C3⋊D311yescharacteristic
439#67—42no—
440#67—128no—
441#67—184no—
442#67—1816no—
443#67—188no—
444#67—182no—
445#67—188no—
446#67—182no—
447#67—1816no—
448#67—1816no—
449#67—362no—
450#67—368no—
451C2×Dic3—38no—
452C2×Dic3—94no—
453C2×Dic3—91no—
454C2×Dic3—94no—
455C2×Dic3—91no—
456C2×Dic3—184no—
457C2×Dic3—184no—
458C2×Dic3C22×C3⋊D312yes—
459D12—22no—
460D12—68no—
461D12—188no—
462D12—182no—
463D12—1816no—
464D12—368no—
465D12—362no—
466C4×D3—916no—
467C4×D3—94no—
468C4×D3—1816no—
469C4×D3—1816no—
470C4×D3—188no—
471C4×D3—182no—
472Dic6—188no—
473Dic6—182no—
474Dic6—1816no—
475C2×C32—24no—
476C2×C32—24no—
477C2×C32—24no—
478C2×C32—48no—
479C2×C32—44no—
480C2×C32—41no—
481C2×C32—122no—
482C2×C32C2×D3×D414yes—
483C2×C32C2×D3×D411yescharacteristic
484C2×C32#100414yes—
485C2×C32#100411yescharacteristic
486C2×C32#100914yes—
487C2×C32#100911yescharacteristic
488C3⋊D3—42no—
489C3⋊D3—62no—
490C3⋊D3—68no—
491C3⋊D3—128no—
492C3⋊D3—128no—
493C3⋊D3—124no—
494C3⋊D3—121no—
495C3×D3—48no—
496C3×D3—128no—
497C24—272no—
498#41—544no—
499C2×Q8—271no—
500C2×D4—32no—
501C2×D4—31no—
502C2×D4—92no—
503C2×D4—91no—
504C2×D4—272no—
505C2×D4—272no—
506C2×D4—272no—
507C2×D4—271no—
508C2×D4—271no—
509C2×D4—271no—
510C2×D4—544no—
511C22×C4—271no—
512C22×C4—271no—
513C22×C4D3×C3⋊D311yescharacteristic, complemented
514C4⋊C4—31no—
515C4⋊C4—91no—
516C22⋊C4—32no—
517C22⋊C4—92no—
518C22⋊C4—272no—
519C22⋊C4—272no—
520C22⋊C4—272no—
521C42—272no—
522C22×C3—28no—
523C22×C3—24no—
524C22×C3—24no—
525C22×C3—24no—
526C22×C3—21no—
527C22×C3—21no—
528C22×C3—21no—
529C22×C3—24no—
530C22×C3—44no—
531C22×C3—44no—
532C22×C3—68no—
533C22×C3—68no—
534C22×C3—68no—
535C22×C3—182no—
536C22×C3—182no—
537C22×C3—182no—
538C22×C3C22×D3214yes—
539C22×C3C23×C3⋊D311yescharacteristic
540C2×D3—22no—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3—68no—
544C2×D3—68no—
545C2×D3—68no—
546C2×D3—98no—
547C2×D3—92no—
548C2×D3—188no—
549C2×D3—184no—
550C2×D3—184no—
551C2×D3—181no—
552C2×D3—181no—
553C2×D3—188no—
554C2×D3—184no—
555C2×D3—184no—
556C2×D3—184no—
557C2×D3—181no—
558C2×D3—181no—
559C2×D3—181no—
560C2×D3—364no—
561C2×D3—364no—
562C2×D3—364no—
563C2×D3—364no—
564C2×D3—368no—
565C2×D3—3632no—
566C3×C4—28no—
567C3×C4—24no—
568C3×C4—21no—
569C3×C4—28no—
570C3×C4—68no—
571C3×C4—182no—
572C3×C4#381118yes—
573C3×C4D4×C3⋊D312yes—
574Dic3—22no—
575Dic3—68no—
576Dic3—98no—
577Dic3—92no—
578Dic3—188no—
579Dic3—188no—
580Dic3—184no—
581Dic3—181no—
582C32—24no—
583C32#560714yescomplemented
584C32#560711yescharacteristic, complemented
585C23—32no—
586C23—92no—
587C23—271no—
588C23—271no—
589C23—544no—
590C23—1082no—
591C23—1082no—
592C23C2×D3×C3⋊D311yescharacteristic
593Q8—542no—
594D4—62no—
595D4—122no—
596D4—182no—
597D4—362no—
598D4—542no—
599D4—542no—
600D4—544no—
601D4—542no—
602D4—1082no—
603D4—1082no—
604C2×C4—22no—
605C2×C4—32no—
606C2×C4—92no—
607C2×C4—271no—
608C2×C4—274no—
609C2×C4—271no—
610C2×C4—542no—
611C2×C4C2×D3×C3⋊D311yescharacteristic
612C2×C4C2×D3×C3⋊D311yescharacteristic
613C2×C3—24no—
614C2×C3—24no—
615C2×C3—24no—
616C2×C3—48no—
617C2×C3—44no—
618C2×C3—41no—
619C2×C3—128no—
620C2×C3—362no—
621C2×C3#6430714yes—
622C2×C3#6430714yes—
623C2×C3C2×#381114yes—
624C2×C3C2×D4×C3⋊D311yescharacteristic
625C2×C3#6436111yescharacteristic
626C2×C3#6436611yescharacteristic
627D3—42no—
628D3—128no—
629D3—188no—
630D3—182no—
631D3—368no—
632D3—368no—
633D3—364no—
634D3—361no—
635C22—21no—
636C22—21no—
637C22—21no—
638C22—62no—
639C22—62no—
640C22—62no—
641C22—182no—
642C22—182no—
643C22—182no—
644C22—272no—
645C22—541no—
646C22—541no—
647C22—541no—
648C22—541no—
649C22—541no—
650C22—1088no—
651C22C22×D3×C3⋊D311yescharacteristic
652C4—21no—
653C4—62no—
654C4—182no—
655C4—272no—
656C4—541no—
657C4#8903912yes—
658C3—24no—
659C3#1059508214yescomplemented
660C3#1059607811yescharacteristic, complemented
661C2—41no—
662C2—122no—
663C2—362no—
664C2—542no—
665C2—1081no—
666C2#1172457911yescharacteristic
667C2#1172458011yescharacteristic
668C2C2×#8903911yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC22×C33×C4C22
hypercenterC22×C4D3×C3⋊D3
hypocenterC33#535
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×#89076C2semidirect
2. C2×#89026C2semidirect
3. C3×#64139C2semidirect
4. C32×#930C2semidirect
5. #11723643C2semidirect
6. #11723633C2semidirect
7. #11723542C2semidirect
8. #11723532C2semidirect
9. #11723531C2semidirect
10. #11723528C2semidirect
11. #11723413C2semidirect
15. C22×C33×C4C22semidirect
17. C2×#6312C22semidirect
21. C2×C4×C3⋊(C3⋊D3)C22semidirect
22. C2×#6308C22semidirect
23. C2×C3×#638C22semidirect
25. C2×C32×#67C22semidirect
27. C2×#6292C22semidirect
28. C2×#6291C22semidirect
31. C3×#3752C22semidirect
32. C3×C4⋊(C3⋊Dic3)C22semidirect
33. C32×(C2×D3)⋊C4C22semidirect
34. C32×C4⋊Dic3C22semidirect
36. #88803C22semidirect
37. (C2×D3)⋊(C3⋊Dic3)C22semidirect
38. Dic3×C3⋊Dic3C22semidirect
48. #64139D3semidirect
54. C3×#930D3semidirect
79. C4×C3⋊(C3⋊D3)D4semidirect
97. C22×C32×C4C2×D3semidirect
98. C22×C32×C4C2×D3semidirect
107. C2×#638C2×D3semidirect
127. C2×C3×#67C2×D3semidirect
139. #3752C2×D3semidirect
140. C4⋊(C3⋊Dic3)C2×D3semidirect
143. C3×(C2×D3)⋊C4C2×D3semidirect
145. C3×C4⋊Dic3C2×D3semidirect
187. #930C3⋊D3semidirect
282. C22×C3×C4D32semidirect
283. C22×C3×C4C2×C3⋊D3semidirect
295. C2×#67C2×C3⋊D3semidirect
328. (C2×D3)⋊C4C2×C3⋊D3semidirect
330. C4⋊Dic3C2×C3⋊D3semidirect
404. C33#535semidirect
513. C22×C4D3×C3⋊D3semidirect
583. C32#5607semidirect
584. C32#5607semidirect
659. C3#10595082semidirect
660. C3#10596078semidirect

Maximal subgroups

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

subgroupindex
C2×#890762
C2×#890262
C3×#641392
C32×#9302
#117236432
#117236332
#117235422
#117235322
#117235312
#117235282
#117234132
#105960783
#105950823