Finite Group Databasebeta

← #13177609

Subgroups — #13177609

Order 1728.

2948 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3×#3830C211yesmaximal, characteristic, complemented
3C32×D4×Dic3C211yesmaximal, characteristic, complemented
4#11723639C212yesmaximal, complemented
5#11723632C212yesmaximal, complemented
6#11723608C212yesmaximal, complemented
7C2×#88804C212yesmaximal, complemented
8#11723526C211yesmaximal, characteristic, complemented
9C4×#6292C211yesmaximal, characteristic, complemented
10#11723449C211yesmaximal, characteristic, complemented
11#11723441C211yesmaximal, characteristic, complemented
12#10596025—31nomaximal
13#10595254—34nomaximal
14C23×C3⋊(C3⋊D3)C2212yes—
15C2×C33×D4C2211yescharacteristic
16C2×#6312C2212yes—
17D4×C3⋊(C3⋊D3)—24no—
18C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
19C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
20C2×C3×#638C2212yescomplemented
21C22×C3×C3⋊Dic3C2212yescomplemented
22C3×#3830—24no—
23C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
24C2×C3×#634C2211yescharacteristic, complemented
25C22×C32×Dic3C2212yescomplemented
26C2×#6292C2211yescharacteristic
27C2×#6292C2212yescomplemented
28C32×#217C2212yescomplemented
29C32×C4⋊Dic3C2211yescharacteristic, complemented
30C32×C4×Dic3C2211yescharacteristic, complemented
31Dic3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
32Dic3⋊(C3⋊Dic3)C2212yescomplemented
33#88804C2211yescharacteristic
34#88804C2212yes—
35#88804C2212yescomplemented
36#88804C2212yescomplemented
37#88804C2212yescomplemented
38#88803C2211yescharacteristic, complemented
39C2×#3830D311yescharacteristic, complemented
40C2×D4×C3⋊D3—31no—
41C2×D4×C3⋊D3—34no—
42C2×D4×C3⋊D3—64no—
43C2×C3×#237—34no—
44C32×C4×D4—31no—
45#64139—32no—
46C2×#3752—32no—
47#64106—31no—
48#64104—31no—
49#64095—32no—
50#64091—32no—
51#64084—31no—
52C4×C4⋊(C3⋊D3)—31no—
53C3×D4×Dic3D314yescomplemented
54#63981—38no—
55#63978—38no—
56#63966—38no—
57C2×#3722—38no—
58#63909—34no—
59C4×#626—34no—
60#63871—34no—
61#63864—34no—
62C23×C33C2312yes—
63C22×C3⋊(C3⋊D3)—24no—
64C22×C3⋊(C3⋊D3)—24no—
65C22×C3⋊(C3⋊D3)—42no—
66C22×C3⋊(C3⋊D3)C2312yes—
67C22×C3⋊(C3⋊D3)C2311yescharacteristic
68C22×C3×C3⋊D3C2311yescharacteristic
69C33×D4D414yescomplemented
70C2×C33×C4C2311yescharacteristic
71#6312—24no—
72C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
73C4⋊(C3⋊(C3⋊D3))—22no—
74C4×C3⋊(C3⋊D3)—22no—
75C3×#638—24no—
76C2×C3×C3⋊Dic3—24no—
77C2×C3×C3⋊Dic3C2312yes—
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C3×C4×C3⋊D3—22no—
80C3×#634—22no—
81C2×C32×Dic3—42no—
82C2×C32×Dic3C2311yescharacteristic
83C2×C32×Dic3C2312yes—
84C2×C32×Dic3C2311yescharacteristic
85#6292—22no—
86#6292—42no—
87#5829—91no—
88#5554—94no—
89C23×C3⋊D3—32no—
90C23×C3⋊D3—38no—
91C23×C3⋊D3—68no—
92C2×C32×D4—24no—
93C2×C32×D4C2×D314yes—
94C2×C32×D4C2×D311yescharacteristic
95C22×C32×C4—32no—
96C2×#638—32no—
97C2×#638—38no—
98C2×#638—68no—
99C2×#638C2×D312yescomplemented
100C22×C3⋊Dic3C2×D312yescomplemented
101#3830—24no—
102D4×C3⋊D3—632no—
103D4×C3⋊D3—616no—
104D4×C3⋊D3—64no—
105C2×C4⋊(C3⋊D3)—31no—
106C2×C4⋊(C3⋊D3)—31no—
107C2×C4⋊(C3⋊D3)—34no—
108C2×C4⋊(C3⋊D3)—32no—
109C2×C4⋊(C3⋊D3)—64no—
110C2×C4×C3⋊D3—31no—
111C2×C4×C3⋊D3—34no—
112C2×C4×C3⋊D3—64no—
113C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
114C2×#634C2×D311yescharacteristic, complemented
115C2×C3×#67—38no—
116C22×C3×Dic3—38no—
117C22×C3×Dic3C2×D318yescomplemented
118C3×#237—616no—
119C2×C3×C4×D3—34no—
120C2×C3×Dic6—34no—
121C2×#626—34no—
122C2×#626—38no—
123C32×C4⋊C4—31no—
124C32×C22⋊C4—32no—
125C32×C42—31no—
126#3752—31no—
127#3752—31no—
128#3752—32no—
129#3752—32no—
130#3752—32no—
131#3752—32no—
132C4⋊(C3⋊Dic3)—31no—
133C4⋊(C3⋊Dic3)—32no—
134C3×#217C2×D318yescomplemented
135C3×C4⋊Dic3C2×D314yescomplemented
136C3×C4×Dic3C2×D314yescomplemented
137Dic3⋊Dic3—38no—
138Dic3⋊Dic3—34no—
139#3722—38no—
140#3722—38no—
141#3722—38no—
142#3722—34no—
143#3722—38no—
144(C2×D3)⋊Dic3—34no—
145C22×C33—22no—
146C22×C33—22no—
147C22×C33C2×D414yes—
148C22×C33C2411yescharacteristic
149C2×C3⋊(C3⋊D3)—21no—
150C2×C3⋊(C3⋊D3)—21no—
151C2×C3⋊(C3⋊D3)—22no—
152C2×C3⋊(C3⋊D3)—22no—
153C2×C3⋊(C3⋊D3)—22no—
154C2×C3⋊(C3⋊D3)—48no—
155C2×C3⋊(C3⋊D3)#4112yescomplemented
156C2×C3×C3⋊D3—21no—
157C2×C3×C3⋊D3—21no—
158C2×C3×C3⋊D3—21no—
159C33×C4C2×D412yes—
160C3⋊(C3⋊Dic3)—21no—
161C3×C3⋊Dic3—22no—
162C3×C3⋊Dic3—21no—
163C32×Dic3—21no—
164C32×Dic3—22no—
165C32×Dic3—21no—
166C2×C3×#41—91no—
167C2×#237—34no—
168C2×D3×D4—94no—
169C2×D3×D4—91no—
170C2×D3×D4—184no—
171C3×C4×D4—34no—
172#947—91no—
173#946—91no—
174#939—92no—
175#937—92no—
176D4×Dic3C3⋊D311yescharacteristic, complemented
177#930—98no—
178#930—91no—
179#929—92no—
180C4×#67—91no—
181C2×(C2×D3)⋊C4—98no—
182C2×(C2×D3)⋊C4—92no—
183#897—94no—
184#895—94no—
185#886—98no—
186#882—98no—
187#875—94no—
188C4×D12—94no—
189C23×C32—28no—
190C23×C32C22×D318yes—
191C23×C32C22×D312yes—
192C22×C3⋊D3—31no—
193C22×C3⋊D3—32no—
194C22×C3⋊D3—34no—
195C22×C3⋊D3—38no—
196C22×C3⋊D3—64no—
197C22×C3⋊D3—68no—
198C22×C3⋊D3—64no—
199C22×C3⋊D3—632no—
200C22×C3⋊D3—616no—
201C22×C3⋊D3—64no—
202C22×C3⋊D3—616no—
203C22×C3⋊D3—1216no—
204C22×C3⋊D3—122no—
205C22×C3⋊D3—128no—
206C22×C3⋊D3—1216no—
207C22×C3⋊D3C22×D311yescharacteristic
208C22×C3×D3—34no—
209C32×D4—216no—
210C32×D4D12116yescomplemented
211C32×D4#6714yescomplemented
212C2×C32×C4—24no—
213C2×C32×C4—31no—
214C2×C32×C4—32no—
215C2×C32×C4—31no—
216C2×C32×C4—122no—
217C2×C32×C4C22×D314yes—
218C2×C32×C4C22×D311yescharacteristic
219#638—24no—
220#638—632no—
221#638—616no—
222#638—64no—
223C2×C3⋊Dic3—24no—
224C2×C3⋊Dic3—31no—
225C2×C3⋊Dic3—34no—
226C2×C3⋊Dic3—64no—
227C2×C3⋊Dic3C22×D312yes—
228C2×C3⋊Dic3C22×D311yescharacteristic
229C4⋊(C3⋊D3)—616no—
230C4⋊(C3⋊D3)—62no—
231C4⋊(C3⋊D3)—68no—
232C4⋊(C3⋊D3)—62no—
233C4⋊(C3⋊D3)—122no—
234C4×C3⋊D3—22no—
235C4×C3⋊D3—616no—
236C4×C3⋊D3—68no—
237C4×C3⋊D3—62no—
238#634—22no—
239C3×#67—616no—
240C2×C3×Dic3—38no—
241C2×C3×Dic3—34no—
242C2×C3×Dic3—48no—
243C2×C3×Dic3—616no—
244C2×C3×Dic3C22×D314yes—
245C2×C3×Dic3C22×D314yes—
246C2×C3×Dic3C22×D318yes—
247C3×C4×D3—68no—
248C3×Dic6—68no—
249#626—68no—
250#626—128no—
251#546—271noSylow
252C2×C33—24no—
253C2×C33C22×D411yescharacteristic
254C2×C33C2×#4111yescharacteristic
255C2×C33H(5,𝔽2)11yescharacteristic
256C3⋊(C3⋊D3)—22no—
257C3⋊(C3⋊D3)—42no—
258C3×C3⋊D3—41no—
259C23×D3—98no—
260C23×D3—92no—
261C23×D3—188no—
262C3×#41—184no—
263C2×C3×Q8—91no—
264C2×C3×D4—24no—
265C2×C3×D4—92no—
266C2×C3×D4D3214yes—
267C2×C3×D4C2×C3⋊D311yescharacteristic
268C22×C3×C4—38no—
269C22×C3×C4—92no—
270C22×C3×C4—91no—
271C2×#67—38no—
272C2×#67—98no—
273C2×#67—92no—
274C2×#67—91no—
275C2×#67—92no—
276C2×#67—188no—
277C22×Dic3—38no—
278C22×Dic3C2×C3⋊D312yescomplemented
279#237—616no—
280D3×D4—1832no—
281D3×D4—1816no—
282D3×D4—184no—
283C2×D12—94no—
284C2×D12—94no—
285C2×D12—91no—
286C2×D12—98no—
287C2×D12—184no—
288C2×C4×D3—34no—
289C2×C4×D3—94no—
290C2×C4×D3—91no—
291C2×C4×D3—184no—
292C2×Dic6—34no—
293C3×C4⋊C4—34no—
294C3×C22⋊C4—38no—
295C3×C42—34no—
296#217—91no—
297#217C2×C3⋊D312yescomplemented
298(C2×D3)⋊C4—94no—
299(C2×D3)⋊C4—98no—
300(C2×D3)⋊C4—98no—
301(C2×D3)⋊C4—98no—
302(C2×D3)⋊C4—98no—
303(C2×D3)⋊C4—94no—
304(C2×D3)⋊C4—91no—
305(C2×D3)⋊C4—92no—
306(C2×D3)⋊C4—92no—
307(C2×D3)⋊C4—92no—
308(C2×D3)⋊C4—92no—
309C4⋊Dic3—94no—
310C4⋊Dic3—98no—
311C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
312Dic3⋊C4—91no—
313Dic3⋊C4—92no—
314C4×Dic3C2×C3⋊D311yescharacteristic, complemented
315C22×C32—22no—
316C22×C32—22no—
317C22×C32—24no—
318C22×C32—216no—
319C22×C32—28no—
320C22×C32—28no—
321C22×C32—48no—
322C22×C32—48no—
323C22×C32C2×D12116yes—
324C22×C32C2×#6714yes—
325C22×C32C23×D314yes—
326C22×C32C23×D311yescharacteristic
327C2×C3⋊D3—21no—
328C2×C3⋊D3—21no—
329C2×C3⋊D3—21no—
330C2×C3⋊D3—32no—
331C2×C3⋊D3—38no—
332C2×C3⋊D3—68no—
333C2×C3⋊D3—68no—
334C2×C3⋊D3—68no—
335C2×C3⋊D3—64no—
336C2×C3⋊D3—64no—
337C2×C3⋊D3—61no—
338C2×C3⋊D3—61no—
339C2×C3⋊D3—616no—
340C2×C3⋊D3—68no—
341C2×C3⋊D3—62no—
342C2×C3⋊D3—62no—
343C2×C3⋊D3—62no—
344C2×C3⋊D3—68no—
345C2×C3⋊D3—68no—
346C2×C3⋊D3—128no—
347C2×C3⋊D3—128no—
348C2×C3⋊D3—128no—
349C2×C3⋊D3—1232no—
350C2×C3⋊D3—1264no—
351C2×C3×D3—64no—
352C2×C3×D3—64no—
353C2×C3×D3—64no—
354C32×C4—28no—
355C32×C4—61no—
356C32×C4—62no—
357C32×C4—61no—
358C32×C4C2×D1218yes—
359C32×C4C2×#6712yes—
360C3⋊Dic3—22no—
361C3⋊Dic3—21no—
362C3⋊Dic3—68no—
363C3⋊Dic3—64no—
364C3⋊Dic3—61no—
365C3×Dic3—28no—
366C3×Dic3—24no—
367C3×Dic3—24no—
368C3×Dic3—68no—
369C3×Dic3—64no—
370C2×#41—91no—
371C22×D4—271no—
372#124—271no—
373#123—272no—
374C22⋊Q8—271no—
375#121—271no—
376#121—272no—
377#120—272no—
378C4×D4—31no—
379C4×D4—271no—
380C2×C22⋊C4—272no—
381C33#54611yescharacteristic, complemented, Sylow
382C23×C3—28no—
383C23×C3—91no—
384C23×C3C2×D3218yes—
385C23×C3C22×C3⋊D312yes—
386C22×D3—34no—
387C22×D3—94no—
388C22×D3—91no—
389C22×D3—98no—
390C22×D3—92no—
391C22×D3—184no—
392C22×D3—188no—
393C22×D3—184no—
394C22×D3—1816no—
395C22×D3—1832no—
396C22×D3—1816no—
397C22×D3—184no—
398C22×D3—3616no—
399C22×D3—368no—
400C22×D3—362no—
401C22×D3—3616no—
402C3×Q8—182no—
403C3×D4—216no—
404C3×D4—184no—
405C3×D4#626116yescomplemented
406C3×D4C4⋊(C3⋊D3)14yescomplemented
407C2×C3×C4—24no—
408C2×C3×C4—34no—
409C2×C3×C4—38no—
410C2×C3×C4—34no—
411C2×C3×C4—91no—
412C2×C3×C4—92no—
413C2×C3×C4—128no—
414C2×C3×C4—184no—
415C2×C3×C4—182no—
416C2×C3×C4C2×D3214yes—
417C2×C3×C4C22×C3⋊D311yescharacteristic
418#67—616no—
419#67—182no—
420#67—1832no—
421#67—1816no—
422#67—184no—
423#67—362no—
424C2×Dic3—38no—
425C2×Dic3—34no—
426C2×Dic3—42no—
427C2×Dic3—616no—
428C2×Dic3—94no—
429C2×Dic3—91no—
430C2×Dic3—184no—
431C2×Dic3C22×C3⋊D311yescharacteristic
432C2×Dic3C22×C3⋊D311yescharacteristic
433C2×Dic3C22×C3⋊D312yes—
434D12—1816no—
435D12—188no—
436D12—188no—
437D12—182no—
438D12—368no—
439C4×D3—68no—
440C4×D3—1816no—
441C4×D3—188no—
442C4×D3—182no—
443Dic6—68no—
444C2×C32—24no—
445C2×C32—24no—
446C2×C32—24no—
447C2×C32—24no—
448C2×C32—216no—
449C2×C32—416no—
450C2×C32C22×D1214yes—
451C2×C32#100414yes—
452C2×C32D3×#4114yes—
453C2×C32D3×#4111yescharacteristic
454C2×C32#100911yescharacteristic
455C2×C32C22×#6711yescharacteristic
456C3⋊D3—41no—
457C3⋊D3—616no—
458C3⋊D3—68no—
459C3⋊D3—62no—
460C3⋊D3—1216no—
461C3⋊D3—128no—
462C3⋊D3—122no—
463C3×D3—124no—
464C24—272no—
465#41—184no—
466C2×Q8—91no—
467C2×D4—92no—
468C2×D4—271no—
469C2×D4—272no—
470C2×D4—272no—
471C2×D4—271no—
472C2×D4—544no—
473C2×D4D3×C3⋊D311yescharacteristic
474C22×C4—32no—
475C22×C4—92no—
476C22×C4—91no—
477C22×C4—271no—
478C4⋊C4—31no—
479C4⋊C4—271no—
480C4⋊C4—272no—
481C22⋊C4—32no—
482C22⋊C4—271no—
483C22⋊C4—272no—
484C22⋊C4—272no—
485C22⋊C4—272no—
486C22⋊C4—272no—
487C22⋊C4—271no—
488C42—31no—
489C22×C3—28no—
490C22×C3—28no—
491C22×C3—22no—
492C22×C3—22no—
493C22×C3—24no—
494C22×C3—216no—
495C22×C3—48no—
496C22×C3—48no—
497C22×C3—181no—
498C22×C3—181no—
499C22×C3—181no—
500C22×C3C2×#626116yes—
501C22×C3C2×C4⋊(C3⋊D3)14yes—
502C22×C3C22×D3214yes—
503C22×C3C23×C3⋊D311yescharacteristic
504C2×D3—64no—
505C2×D3—64no—
506C2×D3—64no—
507C2×D3—98no—
508C2×D3—92no—
509C2×D3—188no—
510C2×D3—188no—
511C2×D3—188no—
512C2×D3—184no—
513C2×D3—184no—
514C2×D3—181no—
515C2×D3—181no—
516C2×D3—1816no—
517C2×D3—188no—
518C2×D3—188no—
519C2×D3—188no—
520C2×D3—182no—
521C2×D3—182no—
522C2×D3—182no—
523C2×D3—368no—
524C2×D3—368no—
525C2×D3—3632no—
526C2×D3—368no—
527C2×D3—3664no—
528C3×C4—28no—
529C3×C4—64no—
530C3×C4—68no—
531C3×C4—64no—
532C3×C4—181no—
533C3×C4—182no—
534C3×C4C2×#62618yes—
535C3×C4C2×C4⋊(C3⋊D3)12yes—
536Dic3—21no—
537Dic3—22no—
538Dic3—21no—
539Dic3—68no—
540Dic3—64no—
541Dic3—188no—
542Dic3—184no—
543Dic3—181no—
544C32—24no—
545C32#555414yescomplemented
546C32#582911yescharacteristic, complemented
547C23—91no—
548C23—271no—
549C23—272no—
550C23—544no—
551C23—544no—
552C23—1082no—
553C23C2×D3×C3⋊D312yes—
554Q8—182no—
555D4—184no—
556D4—542no—
557D4—544no—
558D4—542no—
559D4—1082no—
560D4#629214yescomplemented
561C2×C4—31no—
562C2×C4—31no—
563C2×C4—32no—
564C2×C4—91no—
565C2×C4—92no—
566C2×C4—122no—
567C2×C4—184no—
568C2×C4—182no—
569C2×C4—271no—
570C2×C4—542no—
571C2×C4C2×D3×C3⋊D311yescharacteristic
572C2×C3—216no—
573C2×C3—24no—
574C2×C3—24no—
575C2×C3—24no—
576C2×C3—24no—
577C2×C3—416no—
578C2×C3—361no—
579C2×C3#6431214yes—
580C2×C3#6431414yes—
581C2×C3C22×#62614yes—
582C2×C3C22×C4⋊(C3⋊D3)11yescharacteristic
583C2×C3#6436111yescharacteristic
584C2×C3#41×C3⋊D311yescharacteristic
585D3—124no—
586D3—1816no—
587D3—188no—
588D3—182no—
589D3—3616no—
590D3—368no—
591D3—362no—
592C22—22no—
593C22—22no—
594C22—181no—
595C22—181no—
596C22—181no—
597C22—272no—
598C22—541no—
599C22—541no—
600C22—542no—
601C22—542no—
602C22—542no—
603C22—1088no—
604C22C2×#629214yes—
605C22C22×D3×C3⋊D311yescharacteristic
606C4—61no—
607C4—61no—
608C4—62no—
609C4—181no—
610C4—182no—
611C4—541no—
612C4C2×#629212yes—
613C3—24no—
614C3#1059525414yescomplemented
615C3#1059602511yescharacteristic, complemented
616C2—24no—
617C2—361no—
618C2—542no—
619C2—1082no—
620C2#1172458611yescharacteristic
621C2#1172458811yescharacteristic
622C2C22×#629211yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
hypercenterC2×D4D3×C3⋊D3
hypocenterC33#546
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×C3⋊(C3⋊D3)C2semidirect
2. C2×C3×#3830C2semidirect
3. C32×D4×Dic3C2semidirect
4. #11723639C2semidirect
5. #11723632C2semidirect
6. #11723608C2semidirect
7. C2×#88804C2semidirect
8. #11723526C2semidirect
9. C4×#6292C2semidirect
10. #11723449C2semidirect
11. #11723441C2semidirect
20. C2×C3×#638C22semidirect
21. C22×C3×C3⋊Dic3C22semidirect
23. C2×C3×C4×C3⋊D3C22semidirect
24. C2×C3×#634C22semidirect
25. C22×C32×Dic3C22semidirect
27. C2×#6292C22semidirect
28. C32×#217C22semidirect
29. C32×C4⋊Dic3C22semidirect
30. C32×C4×Dic3C22semidirect
31. Dic3⋊(C3⋊Dic3)C22semidirect
32. Dic3⋊(C3⋊Dic3)C22semidirect
35. #88804C22semidirect
36. #88804C22semidirect
37. #88804C22semidirect
38. #88803C22semidirect
39. C2×#3830D3semidirect
53. C3×D4×Dic3D3semidirect
69. C33×D4D4semidirect
99. C2×#638C2×D3semidirect
100. C22×C3⋊Dic3C2×D3semidirect
113. C2×C4×C3⋊D3C2×D3semidirect
114. C2×#634C2×D3semidirect
117. C22×C3×Dic3C2×D3semidirect
134. C3×#217C2×D3semidirect
135. C3×C4⋊Dic3C2×D3semidirect
136. C3×C4×Dic3C2×D3semidirect
155. C2×C3⋊(C3⋊D3)#41semidirect
176. D4×Dic3C3⋊D3semidirect
210. C32×D4D12semidirect
211. C32×D4#67semidirect
278. C22×Dic3C2×C3⋊D3semidirect
297. #217C2×C3⋊D3semidirect
311. C4⋊Dic3C2×C3⋊D3semidirect
314. C4×Dic3C2×C3⋊D3semidirect
381. C33#546semidirect
405. C3×D4#626semidirect
406. C3×D4C4⋊(C3⋊D3)semidirect
545. C32#5554semidirect
546. C32#5829semidirect
560. D4#6292semidirect
614. C3#10595254semidirect
615. C3#10596025semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊(C3⋊D3)2
C2×C3×#38302
C32×D4×Dic32
#117236392
#117236322
#117236082
C2×#888042
#117235262
C4×#62922
#117234492
#117234412
#105960253
#105952543