Finite Group Databasebeta

← D32×#235 #13181259

Subgroups — D32×#235 #13181259

Order 1728.

4092 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11724618C211yesmaximal, characteristic, complemented
2C3⋊D3×#235C211yesmaximal, characteristic, complemented
3D3×#3828C212yesmaximal, complemented
4C3×D3×#235C212yesmaximal, complemented
5C2×C3×C4×D32C211yesmaximal, characteristic, complemented
6D32×#67C212yesmaximal, complemented
7#11724410C212yesmaximal, complemented
8D3×#3804C214yesmaximal, complemented
9D32×D12C211yesmaximal, characteristic, complemented
10C4×D33C212yesmaximal, complemented
11#11724389C211yesmaximal, characteristic, complemented
12#11724388C211yesmaximal, characteristic, complemented
13#11724387C212yesmaximal, complemented
14D3×#3799C212yesmaximal, complemented
15D3×#3798C214yesmaximal, complemented
16D3×#3795C212yesmaximal, complemented
17D32×Dic6C211yesmaximal, characteristic, complemented
18D32×#41—31nomaximal
19C2×D3×#235—32nomaximal
20C22×C3×D32C2211yescharacteristic
21C2×D33C2212yes—
22#89076C2211yescharacteristic, complemented
23C3×#3828C2212yescomplemented
24C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
25C32×#235C2211yescharacteristic, complemented
26C2×C32×C4×D3C2212yescomplemented
27#89049C2212yescomplemented
28#89046C2212yescomplemented
29C4⋊#1113C2211yescharacteristic, complemented
30C4×#1113C2212yescomplemented
31#89042C2212yescomplemented
32#89041C2212yescomplemented
33#89040C2211yescharacteristic, complemented
34C3⋊D3×#67C2212yescomplemented
35D3×#638C2214yescomplemented
36#89031C2214yescomplemented
37#89028C2212yescomplemented
38C3⋊D3×D12C2211yescharacteristic, complemented
39D3×C4⋊(C3⋊D3)C2212yescomplemented
40C4×D3×C3⋊D3C2214yescomplemented
41C4×D3×C3⋊D3C2212yescomplemented
42#89022C2212yescomplemented
43#89021C2212yescomplemented
44#89020C2214yescomplemented
45#89020C2212yescomplemented
46#89018C2211yescharacteristic, complemented
47C3⋊D3×Dic6C2211yescharacteristic, complemented
48#89014C2211yescharacteristic, complemented
49D3×#634C2212yescomplemented
50C3×D3×#67C2214yescomplemented
51C2×C3×#624C2211yescharacteristic, complemented
52C3×#3804C2214yescomplemented
53C2×C3×D3×Dic3C2212yescomplemented
54C3×D3×D12C2212yescomplemented
55C3×C4×D32C2211yescharacteristic
56C3×C4×D32C2211yescharacteristic
57C3×C4×D32C2212yescomplemented
58C3×C4×D32C2212yescomplemented
59C3×C4×D32C2214yescomplemented
60C3×C4×D32C2211yescharacteristic, complemented
61C3×C4×D32C2211yescharacteristic, complemented
62C3×#3799C2212yescomplemented
63C3×#3798C2214yescomplemented
64C3×#3795C2212yescomplemented
65C3×D3×Dic6C2212yescomplemented
66#88965C2214yescomplemented
67#88962C2214yescomplemented
68#88961C2214yescomplemented
69#88960C2214yescomplemented
70#88960C2214yescomplemented
71#88959C2214yescomplemented
72#88957C2212yescomplemented
73D3×#627C2214yescomplemented
74#88955C2212yescomplemented
75#88953C2212yescomplemented
76#88952C2212yescomplemented
77D3×#626C2214yescomplemented
78D3×#626C2214yescomplemented
79D3×#625C2214yescomplemented
80#88949C2212yescomplemented
81D3×#624C2214yescomplemented
82D3×#624C2212yescomplemented
83D32×Dic3C2212yes—
84D32×Dic3C2214yescomplemented
85#41×C3⋊D3—31no—
86C2×#3828—32no—
87C3×D3×#41—32no—
88C2×C3×#235—32no—
89C22×C3×C4×D3—32no—
90C2×D3×#67—34no—
91C2×#3804—34no—
92#64319—31no—
93D3×#239—32no—
94D32×Q8—31no—
95#64312—32no—
96#64312—31no—
97D3×#237—34no—
98D3×#237—32no—
99D32×D4—31no—
100D32×D4—32no—
101#64306—31no—
102#64306—32no—
103D3×#235—32no—
104D3×#235—32no—
105D3×#235—32no—
106D3×#235—32no—
107D3×#235—34no—
108D3×#235—34no—
109D3×#235—32no—
110D3×#235—34no—
111D3×#235—34no—
112D3×#235—32no—
113D3×#235—34no—
114D3×#235—32no—
115D3×#235—32no—
116D3×#235—62no—
117D3×#235—61no—
118D3×#235D312yesdirect product factor
119C2×D3×D12—32no—
120C2×C4×D32—32no—
121C2×C4×D32—34no—
122C2×C4×D32D311yescharacteristic, complemented
123C2×#3799—32no—
124C2×#3798—34no—
125C2×#3795—32no—
126C2×D3×Dic6—32no—
127C22×C3×C3⋊D3C2311yescharacteristic
128C22×C32×D3C2312yes—
129C2×#1113C2312yes—
130C2×D3×C3⋊D3C2314yes—
131C2×D3×C3⋊D3C2312yes—
132C2×C3×D32—24no—
133C2×C3×D32C2314yes—
134C2×C3×D32C2312yes—
135C2×C3×D32C2311yescharacteristic
136C2×C3×D32C2311yescharacteristic
137D33—28no—
138C2×C33×C4C2311yescharacteristic, complemented
139#6312C2312yescomplemented
140C4⋊(C3⋊(C3⋊D3))C2311yescharacteristic, complemented
141C4×C3⋊(C3⋊D3)C2312yescomplemented
142#6308C2311yescharacteristic, complemented
143C3×#638C2314yescomplemented
144C2×C3×C3⋊Dic3C2311yescharacteristic, complemented
145C3×C4⋊(C3⋊D3)C2312yescomplemented
146C3×C4×C3⋊D3C2311yescharacteristic
147C3×C4×C3⋊D3C2311yescharacteristic
148C3×C4×C3⋊D3C2314yescomplemented
149C3×C4×C3⋊D3C2311yescharacteristic, complemented
150C3×C4×C3⋊D3C2311yescharacteristic, complemented
151C3×#634C2312yescomplemented
152C32×#67C2312yescomplemented
153C2×C32×Dic3C2312yescomplemented
154C32×D12C2311yescharacteristic, complemented
155C32×C4×D3C2312yes—
156C32×C4×D3C2312yes—
157C32×C4×D3C2312yescomplemented
158C32×C4×D3C2312yescomplemented
159C32×C4×D3C2312yescomplemented
160C32×Dic6C2311yescharacteristic, complemented
161#6296C2312yescomplemented
162#6295C2314yescomplemented
163#6295C2312yescomplemented
164#6294C2312yes—
165#6294C2314yescomplemented
166#6293C2312yescomplemented
167#6293C2314yescomplemented
168#6292C2312yescomplemented
169#6292C2314yescomplemented
170#6291C2312yescomplemented
171#6291C2314yescomplemented
172#6290C2312yescomplemented
173#6290C2314yescomplemented
174#6289C2314yescomplemented
175#6289C2312yescomplemented
176Dic3×C3⋊D3C2312yes—
177Dic3×C3⋊D3C2314yescomplemented
178D3×C3⋊Dic3C2314yes—
179D3×C3⋊Dic3C2312yescomplemented
180C3×#627C2314yescomplemented
181C3×#626C2314yescomplemented
182C3×#626C2314yescomplemented
183C3×#625C2314yescomplemented
184C3×#624C2311yescharacteristic
185C3×#624C2311yescharacteristic
186C3×#624C2314yescomplemented
187C3×#624C2312yescomplemented
188C3×D3×Dic3C2314yes—
189C3×D3×Dic3C2312yes—
190C3×D3×Dic3C2312yes—
191C3×D3×Dic3C2314yescomplemented
192C3×D3×Dic3C2312yescomplemented
193C3×D3×Dic3C2312yescomplemented
194C2×D3×#41—92no—
195C22×#235—91no—
196C23×C3×D3—32no—
197C22×D32—34no—
198C22×D32—32no—
199C22×D32C2×D311yescharacteristic
200C32×#41—31no—
201C22×C32×C4—32no—
202C2×#638—34no—
203#3832—31no—
204Q8×C3⋊D3—31no—
205#3830—32no—
206#3830—31no—
207D4×C3⋊D3—32no—
208D4×C3⋊D3—31no—
209#3828—32no—
210#3828—31no—
211#3828—34no—
212#3828—32no—
213#3828—34no—
214#3828—32no—
215#3828—32no—
216#3828—62no—
217#3828—61no—
218#3828—121no—
219#3828C2×D312yescomplemented
220C2×C4⋊(C3⋊D3)—32no—
221C2×C4×C3⋊D3—32no—
222C2×C4×C3⋊D3—34no—
223C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
224C2×#634—32no—
225C2×C3×#67—34no—
226C22×C3×Dic3—32no—
227C3×#239—32no—
228C3×D3×Q8—32no—
229C3×#237—34no—
230C3×#237—32no—
231C3×D3×D4—34no—
232C3×D3×D4—32no—
233C3×#235—21no—
234C3×#235—32no—
235C3×#235—32no—
236C3×#235—34no—
237C3×#235—32no—
238C3×#235—34no—
239C3×#235—34no—
240C3×#235—32no—
241C3×#235—62no—
242C3×#235C2×D312yescomplemented
243C2×C3×D12—32no—
244C2×C3×C4×D3—22no—
245C2×C3×C4×D3—32no—
246C2×C3×C4×D3—32no—
247C2×C3×C4×D3—32no—
248C2×C3×C4×D3—32no—
249C2×C3×C4×D3—32no—
250C2×C3×C4×D3—34no—
251C2×C3×C4×D3—32no—
252C2×C3×C4×D3—32no—
253C2×C3×C4×D3—32no—
254C2×C3×C4×D3—32no—
255C2×C3×C4×D3—34no—
256C2×C3×C4×D3—32no—
257C2×C3×C4×D3—32no—
258C2×C3×C4×D3—61no—
259C2×C3×C4×D3C2×D312yescomplemented
260C2×C3×C4×D3C2×D312yescomplemented
261C2×C3×Dic6—32no—
262#3811—32no—
263#3811—32no—
264#3811—32no—
265D3×#67—34no—
266D3×#67—34no—
267D3×#67—34no—
268D3×#67—34no—
269D3×#67—34no—
270D3×#67—34no—
271D3×#67—34no—
272D3×#67—34no—
273D3×#67—34no—
274D3×#67—34no—
275D3×#67—62no—
276D3×#67—64no—
277D3×#67C2×D314yescomplemented
278C2×#627—34no—
279C2×#626—34no—
280C2×#626—34no—
281C2×#625—34no—
282C2×#624—32no—
283C2×#624—34no—
284C2×#624C2×D311yescharacteristic, complemented
285#3805—32no—
286#3805—34no—
287#3804—34no—
288#3804—34no—
289#3804—34no—
290#3804—34no—
291#3804—34no—
292#3804—34no—
293#3804—34no—
294#3804—34no—
295#3804—34no—
296#3804—34no—
297#3804—64no—
298#3804—62no—
299#3804C2×D314yescomplemented
300C2×D3×Dic3—34no—
301C2×D3×Dic3—34no—
302C2×D3×Dic3—34no—
303C2×D3×Dic3C2×D312yescomplemented
304#3802—32no—
305#3802—31no—
306D3×D12—34no—
307D3×D12—34no—
308D3×D12—32no—
309D3×D12—32no—
310D3×D12—32no—
311D3×D12—32no—
312D3×D12—34no—
313D3×D12—62no—
314D3×D12—61no—
315D3×D12C2×D312yescomplemented
316C4×D32—34no—
317C4×D32—32no—
318C4×D32—32no—
319C4×D32—34no—
320C4×D32—34no—
321C4×D32—34no—
322C4×D32—34no—
323C4×D32—32no—
324C4×D32—34no—
325C4×D32—34no—
326C4×D32—34no—
327C4×D32—34no—
328C4×D32—64no—
329C4×D32—62no—
330C4×D32C2×D311yescharacteristic
331C4×D32C2×D311yescharacteristic
332C4×D32C2×D314yescomplemented
333C4×D32C2×D312yescomplemented
334C4×D32C2×D312yescomplemented
335C4×D32C2×D311yescharacteristic, complemented
336C4×D32C2×D311yescharacteristic, complemented
337#3799—32no—
338#3799—32no—
339#3799—32no—
340#3799—32no—
341#3799—34no—
342#3799—34no—
343#3799—34no—
344#3799—61no—
345#3799—62no—
346#3799C2×D312yescomplemented
347#3798—34no—
348#3798—32no—
349#3798—34no—
350#3798—34no—
351#3798—34no—
352#3798—34no—
353#3798—34no—
354#3798—34no—
355#3798—34no—
356#3798—64no—
357#3798—62no—
358#3798C2×D314yescomplemented
359#3797—31no—
360#3797—32no—
361#3796—32no—
362#3796—34no—
363#3795—32no—
364#3795—32no—
365#3795—32no—
366#3795—32no—
367#3795—34no—
368#3795—34no—
369#3795—34no—
370#3795—62no—
371#3795—61no—
372#3795C2×D312yescomplemented
373D3×Dic6—32no—
374D3×Dic6—32no—
375D3×Dic6—32no—
376D3×Dic6—32no—
377D3×Dic6—34no—
378D3×Dic6—34no—
379D3×Dic6—34no—
380D3×Dic6—61no—
381D3×Dic6—62no—
382D3×Dic6C2×D312yescomplemented
383C22×C33C2411yescharacteristic
384C2×C3⋊(C3⋊D3)C2412yes—
385C2×C3×C3⋊D3—22no—
386C2×C3×C3⋊D3C2411yescharacteristic
387C2×C3×C3⋊D3C2414yes—
388C2×C3×C3⋊D3C2411yescharacteristic
389C2×C32×D3—24no—
390C2×C32×D3C2412yes—
391C2×C32×D3C2412yes—
392C2×C32×D3C2412yes—
393#1113—24no—
394D3×C3⋊D3—24no—
395D3×C3⋊D3—28no—
396C3×D32—22no—
397C3×D32—28no—
398C3×D32—24no—
399C3×D32#4114yescomplemented
400C33×C4C2411yescharacteristic
401C33×C4C2411yescharacteristic
402C3⋊(C3⋊Dic3)C2412yes—
403C3×C3⋊Dic3C2411yescharacteristic
404C3×C3⋊Dic3C2411yescharacteristic
405C3×C3⋊Dic3C2414yes—
406C32×Dic3C2412yes—
407C32×Dic3C2412yes—
408C32×Dic3C2412yes—
409C2×C3×#41—92no—
410C23×C3×C4—91no—
411C22×#67—92no—
412D3×#41—32no—
413D3×#41—94no—
414D3×#41—92no—
415D3×#41—94no—
416D3×#41—94no—
417D3×#41—92no—
418D3×#41—94no—
419D3×#41—92no—
420D3×#41—92no—
421D3×#41—92no—
422D3×#41—92no—
423D3×#41—92no—
424D3×#41—181no—
425C2×#239—92no—
426C2×D3×Q8—92no—
427C2×#237—92no—
428C2×#237—94no—
429C2×D3×D4—92no—
430C2×D3×D4—94no—
431C2×#235—32no—
432C2×#235—92no—
433C2×#235—94no—
434C2×#235—94no—
435C2×#235—92no—
436C2×#235—91no—
437C2×#235—92no—
438C2×#235—91no—
439C2×#235—92no—
440C2×#235—91no—
441C2×#235—94no—
442C2×#235—92no—
443C2×#235—92no—
444C2×#235—91no—
445C2×#235—182no—
446C22×D12—91no—
447C22×C4×D3—32no—
448C22×C4×D3—92no—
449C22×C4×D3—94no—
450C22×Dic6—91no—
451C23×C32—32no—
452C22×C3⋊D3—34no—
453C22×C3⋊D3—32no—
454C22×C3⋊D3C22×D311yescharacteristic
455C22×C3×D3—22no—
456C22×C3×D3—32no—
457C22×C3×D3—32no—
458C22×C3×D3—34no—
459C22×C3×D3—34no—
460C22×C3×D3—32no—
461C22×C3×D3—32no—
462C22×C3×D3—32no—
463C22×C3×D3—61no—
464C22×C3×D3—68no—
465C22×C3×D3C22×D312yes—
466C22×C3×D3C22×D312yes—
467C2×D32—24no—
468C2×D32—34no—
469C2×D32—32no—
470C2×D32—34no—
471C2×D32—34no—
472C2×D32—34no—
473C2×D32—62no—
474C2×D32—64no—
475C2×D32—616no—
476C2×D32—68no—
477C2×D32C22×D314yes—
478C2×D32C22×D312yes—
479C2×D32C22×D311yescharacteristic
480C2×D32C22×D311yescharacteristic
481C32×Q8—31no—
482C32×D4—32no—
483C32×D4—31no—
484C2×C32×C4—22no—
485C2×C32×C4—21no—
486C2×C32×C4—32no—
487C2×C32×C4—32no—
488C2×C32×C4—32no—
489C2×C32×C4—32no—
490C2×C32×C4—32no—
491C2×C32×C4—32no—
492C2×C32×C4—41no—
493C2×C32×C4C22×D312yescomplemented
494C2×C32×C4C22×D311yescharacteristic, complemented
495#638—34no—
496#638—32no—
497#638—34no—
498#638—32no—
499#638—34no—
500#638—32no—
501#638—62no—
502#638—64no—
503#638—122no—
504#638C22×D314yescomplemented
505C2×C3⋊Dic3—34no—
506C2×C3⋊Dic3—32no—
507C2×C3⋊Dic3C22×D311yescharacteristic, complemented
508C4⋊(C3⋊D3)—34no—
509C4⋊(C3⋊D3)—32no—
510C4⋊(C3⋊D3)—32no—
511C4⋊(C3⋊D3)—31no—
512C4⋊(C3⋊D3)—61no—
513C4⋊(C3⋊D3)—62no—
514C4⋊(C3⋊D3)—121no—
515C4⋊(C3⋊D3)C22×D312yescomplemented
516C4×C3⋊D3—32no—
517C4×C3⋊D3—34no—
518C4×C3⋊D3—32no—
519C4×C3⋊D3—34no—
520C4×C3⋊D3—32no—
521C4×C3⋊D3—34no—
522C4×C3⋊D3—64no—
523C4×C3⋊D3—62no—
524C4×C3⋊D3—122no—
525C4×C3⋊D3C22×D311yescharacteristic
526C4×C3⋊D3C22×D311yescharacteristic
527C4×C3⋊D3C22×D311yescharacteristic, complemented
528C4×C3⋊D3C22×D311yescharacteristic, complemented
529C4×C3⋊D3C22×D314yescomplemented
530#634—32no—
531#634—31no—
532#634—34no—
533#634—32no—
534#634—61no—
535#634—62no—
536#634—121no—
537#634C22×D312yescomplemented
538C3×#67—22no—
539C3×#67—34no—
540C3×#67—34no—
541C3×#67—34no—
542C3×#67—34no—
543C3×#67—34no—
544C3×#67—34no—
545C3×#67—64no—
546C3×#67C22×D314yescomplemented
547C2×C3×Dic3—22no—
548C2×C3×Dic3—32no—
549C2×C3×Dic3—32no—
550C2×C3×Dic3—34no—
551C2×C3×Dic3—32no—
552C2×C3×Dic3—34no—
553C2×C3×Dic3—32no—
554C2×C3×Dic3—32no—
555C2×C3×Dic3—61no—
556C2×C3×Dic3C22×D312yescomplemented
557C2×C3×Dic3C22×D312yescomplemented
558C3×D12—21no—
559C3×D12—34no—
560C3×D12—34no—
561C3×D12—32no—
562C3×D12—32no—
563C3×D12—62no—
564C3×D12C22×D312yescomplemented
565C3×C4×D3—22no—
566C3×C4×D3—22no—
567C3×C4×D3—22no—
568C3×C4×D3—22no—
569C3×C4×D3—22no—
570C3×C4×D3—32no—
571C3×C4×D3—34no—
572C3×C4×D3—32no—
573C3×C4×D3—32no—
574C3×C4×D3—32no—
575C3×C4×D3—34no—
576C3×C4×D3—32no—
577C3×C4×D3—32no—
578C3×C4×D3—32no—
579C3×C4×D3—32no—
580C3×C4×D3—34no—
581C3×C4×D3—34no—
582C3×C4×D3—32no—
583C3×C4×D3—32no—
584C3×C4×D3—32no—
585C3×C4×D3—34no—
586C3×C4×D3—32no—
587C3×C4×D3—34no—
588C3×C4×D3—61no—
589C3×C4×D3—61no—
590C3×C4×D3—61no—
591C3×C4×D3—61no—
592C3×C4×D3—64no—
593C3×C4×D3C22×D312yes—
594C3×C4×D3C22×D312yes—
595C3×C4×D3C22×D312yes—
596C3×C4×D3C22×D312yes—
597C3×C4×D3C22×D312yescomplemented
598C3×C4×D3C22×D312yescomplemented
599C3×C4×D3C22×D312yescomplemented
600C3×C4×D3C22×D312yescomplemented
601C3×C4×D3C22×D314yescomplemented
602C3×Dic6—21no—
603C3×Dic6—32no—
604C3×Dic6—32no—
605C3×Dic6—34no—
606C3×Dic6—34no—
607C3×Dic6—62no—
608C3×Dic6C22×D312yescomplemented
609#627—32no—
610#627—34no—
611#627—34no—
612#627—34no—
613#627—34no—
614#627—62no—
615#627—64no—
616#627C22×D314yescomplemented
617#626—34no—
618#626—34no—
619#626—34no—
620#626—34no—
621#626—34no—
622#626—34no—
623#626—34no—
624#626—34no—
625#626—34no—
626#626—64no—
627#626—62no—
628#626—62no—
629#626—64no—
630#626C22×D314yescomplemented
631#626C22×D314yescomplemented
632#625—34no—
633#625—34no—
634#625—34no—
635#625—34no—
636#625—32no—
637#625—62no—
638#625—64no—
639#625C22×D314yescomplemented
640#624—32no—
641#624—34no—
642#624—34no—
643#624—34no—
644#624—34no—
645#624—62no—
646#624—64no—
647#624C22×D311yescharacteristic
648#624C22×D311yescharacteristic
649#624C22×D312yescomplemented
650#624C22×D314yescomplemented
651D3×Dic3—34no—
652D3×Dic3—34no—
653D3×Dic3—34no—
654D3×Dic3—34no—
655D3×Dic3—34no—
656D3×Dic3—34no—
657D3×Dic3—34no—
658D3×Dic3—34no—
659D3×Dic3—34no—
660D3×Dic3—64no—
661D3×Dic3—62no—
662D3×Dic3—62no—
663D3×Dic3—64no—
664D3×Dic3C22×D312yes—
665D3×Dic3C22×D314yes—
666D3×Dic3C22×D312yes—
667D3×Dic3C22×D312yescomplemented
668D3×Dic3C22×D314yescomplemented
669D3×Dic3C22×D312yescomplemented
670C22×#41—271noSylow
671C2×C33—21no—
672C2×C33C2511yescharacteristic
673C3⋊(C3⋊D3)—22no—
674C3×C3⋊D3—21no—
675C3×C3⋊D3—24no—
676C3×C3⋊D3C2×#4112yescomplemented
677C32×D3—22no—
678C32×D3—22no—
679C32×D3C2×#4114yescomplemented
680C24×C3—91no—
681C23×D3—32no—
682C23×D3—92no—
683C23×D3—94no—
684C3×#41—32no—
685C3×#41—61no—
686C3×#41—94no—
687C3×#41—94no—
688C3×#41—92no—
689C3×#41—92no—
690C3×#41—92no—
691C2×C3×Q8—92no—
692C2×C3×D4—92no—
693C2×C3×D4—94no—
694C22×C3×C4—32no—
695C22×C3×C4—32no—
696C22×C3×C4—62no—
697C22×C3×C4—91no—
698C22×C3×C4—91no—
699C22×C3×C4—94no—
700C22×C3×C4—91no—
701C22×C3×C4—92no—
702C22×C3×C4—92no—
703C22×C3×C4—91no—
704C22×C3×C4—91no—
705C22×C3×C4—92no—
706C22×C3×C4—91no—
707C2×#67—34no—
708C2×#67—94no—
709C2×#67—94no—
710C2×#67—92no—
711C2×#67—92no—
712C2×#67—92no—
713C2×#67—94no—
714C2×#67—94no—
715C2×#67—94no—
716C2×#67—94no—
717C2×#67—92no—
718C2×#67—184no—
719C22×Dic3—32no—
720C22×Dic3—92no—
721C22×Dic3—94no—
722#239—32no—
723#239—94no—
724#239—94no—
725#239—92no—
726#239—92no—
727#239—92no—
728#239—181no—
729D3×Q8—32no—
730D3×Q8—92no—
731D3×Q8—94no—
732D3×Q8—94no—
733D3×Q8—92no—
734D3×Q8—92no—
735D3×Q8—181no—
736#237—34no—
737#237—32no—
738#237—92no—
739#237—94no—
740#237—94no—
741#237—94no—
742#237—94no—
743#237—92no—
744#237—94no—
745#237—94no—
746#237—94no—
747#237—94no—
748#237—94no—
749#237—92no—
750#237—181no—
751#237—182no—
752D3×D4—34no—
753D3×D4—32no—
754D3×D4—92no—
755D3×D4—94no—
756D3×D4—92no—
757D3×D4—94no—
758D3×D4—94no—
759D3×D4—94no—
760D3×D4—94no—
761D3×D4—94no—
762D3×D4—94no—
763D3×D4—94no—
764D3×D4—94no—
765D3×D4—92no—
766D3×D4—181no—
767D3×D4—182no—
768#235—32no—
769#235—32no—
770#235—34no—
771#235—32no—
772#235—34no—
773#235—34no—
774#235—32no—
775#235—62no—
776#235—94no—
777#235—94no—
778#235—92no—
779#235—94no—
780#235—92no—
781#235—92no—
782#235—92no—
783#235—94no—
784#235—94no—
785#235—94no—
786#235—94no—
787#235—94no—
788#235—94no—
789#235—94no—
790#235—94no—
791#235—94no—
792#235—94no—
793#235—94no—
794#235—92no—
795#235—92no—
796#235—92no—
797#235—94no—
798#235—94no—
799#235—91no—
800#235—92no—
801#235—92no—
802#235—91no—
803#235—92no—
804#235—94no—
805#235—91no—
806#235—182no—
807#235—184no—
808#235—182no—
809#235—182no—
810#235—184no—
811#235—182no—
812#235—181no—
813#235—361no—
814#235D3211yescharacteristic, direct product factor
815C2×D12—32no—
816C2×D12—92no—
817C2×D12—91no—
818C2×D12—92no—
819C2×D12—92no—
820C2×D12—94no—
821C2×D12—94no—
822C2×D12—91no—
823C2×D12—182no—
824C2×C4×D3—32no—
825C2×C4×D3—32no—
826C2×C4×D3—32no—
827C2×C4×D3—32no—
828C2×C4×D3—32no—
829C2×C4×D3—32no—
830C2×C4×D3—32no—
831C2×C4×D3—34no—
832C2×C4×D3—32no—
833C2×C4×D3—32no—
834C2×C4×D3—32no—
835C2×C4×D3—32no—
836C2×C4×D3—34no—
837C2×C4×D3—61no—
838C2×C4×D3—92no—
839C2×C4×D3—92no—
840C2×C4×D3—92no—
841C2×C4×D3—94no—
842C2×C4×D3—94no—
843C2×C4×D3—94no—
844C2×C4×D3—94no—
845C2×C4×D3—94no—
846C2×C4×D3—94no—
847C2×C4×D3—94no—
848C2×C4×D3—94no—
849C2×C4×D3—94no—
850C2×C4×D3—94no—
851C2×C4×D3—94no—
852C2×C4×D3—94no—
853C2×C4×D3—94no—
854C2×C4×D3—92no—
855C2×C4×D3—184no—
856C2×C4×D3—182no—
857C2×C4×D3D3212yescomplemented
858C2×Dic6—32no—
859C2×Dic6—91no—
860C2×Dic6—92no—
861C2×Dic6—94no—
862C2×Dic6—94no—
863C2×Dic6—92no—
864C2×Dic6—92no—
865C2×Dic6—91no—
866C2×Dic6—182no—
867C22×C32—22no—
868C22×C32—21no—
869C22×C32—32no—
870C22×C32—32no—
871C22×C32—32no—
872C22×C32—41no—
873C22×C32—64no—
874C22×C32C23×D312yes—
875C22×C32C23×D311yescharacteristic
876C2×C3⋊D3—22no—
877C2×C3⋊D3—32no—
878C2×C3⋊D3—34no—
879C2×C3⋊D3—64no—
880C2×C3⋊D3—62no—
881C2×C3⋊D3—68no—
882C2×C3⋊D3—64no—
883C2×C3⋊D3—122no—
884C2×C3⋊D3C23×D314yes—
885C2×C3⋊D3C23×D311yescharacteristic
886C2×C3⋊D3C23×D311yescharacteristic
887C2×C3×D3—24no—
888C2×C3×D3—24no—
889C2×C3×D3—22no—
890C2×C3×D3—22no—
891C2×C3×D3—22no—
892C2×C3×D3—32no—
893C2×C3×D3—38no—
894C2×C3×D3—34no—
895C2×C3×D3—34no—
896C2×C3×D3—32no—
897C2×C3×D3—44no—
898C2×C3×D3—61no—
899C2×C3×D3—64no—
900C2×C3×D3—61no—
901C2×C3×D3—64no—
902C2×C3×D3—68no—
903C2×C3×D3—64no—
904C2×C3×D3—64no—
905C2×C3×D3—68no—
906C2×C3×D3—64no—
907C2×C3×D3—122no—
908C2×C3×D3C23×D314yes—
909C2×C3×D3C23×D312yes—
910C2×C3×D3C23×D312yes—
911C2×C3×D3C23×D312yes—
912C2×C3×D3C23×D312yes—
913D32—22no—
914D32—24no—
915D32—28no—
916D32—68no—
917D32—68no—
918D32—64no—
919D32—68no—
920D32—68no—
921D32—128no—
922D32—124no—
923D32#23514yesdirect product factor
924C32×C4—21no—
925C32×C4—22no—
926C32×C4—22no—
927C32×C4—21no—
928C32×C4—32no—
929C32×C4—32no—
930C32×C4—32no—
931C32×C4—41no—
932C32×C4—41no—
933C32×C4C23×D311yescharacteristic
934C32×C4C23×D312yes—
935C32×C4C23×D311yescharacteristic
936C32×C4C23×D312yes—
937C3⋊Dic3—32no—
938C3⋊Dic3—34no—
939C3⋊Dic3—64no—
940C3⋊Dic3—62no—
941C3⋊Dic3—122no—
942C3⋊Dic3C23×D311yescharacteristic
943C3⋊Dic3C23×D314yes—
944C3⋊Dic3C23×D311yescharacteristic
945C3×Dic3—22no—
946C3×Dic3—22no—
947C3×Dic3—22no—
948C3×Dic3—32no—
949C3×Dic3—34no—
950C3×Dic3—34no—
951C3×Dic3—32no—
952C3×Dic3—61no—
953C3×Dic3—64no—
954C3×Dic3—61no—
955C3×Dic3C23×D312yes—
956C3×Dic3C23×D312yes—
957C3×Dic3C23×D314yes—
958C3×Dic3C23×D312yes—
959C3×Dic3C23×D312yes—
960C2×#41—92no—
961C2×#41—272no—
962C2×#41—274no—
963C2×#41—272no—
964C2×#41—274no—
965C2×#41—272no—
966C2×#41—271no—
967C2×#41—272no—
968C2×#41—271no—
969C2×#41—272no—
970C2×#41—271no—
971C2×#41—271no—
972C22×Q8—271no—
973C22×D4—271no—
974C22×D4—272no—
975C23×C4—91no—
976C23×C4—272no—
977C33C22×#4111yescharacteristic, complemented, Sylow
978C23×C3—32no—
979C23×C3—32no—
980C23×C3—62no—
981C23×C3—91no—
982C23×C3—94no—
983C23×C3—92no—
984C23×C3—91no—
985C23×C3—91no—
986C23×C3—184no—
987C22×D3—32no—
988C22×D3—32no—
989C22×D3—32no—
990C22×D3—32no—
991C22×D3—32no—
992C22×D3—34no—
993C22×D3—34no—
994C22×D3—61no—
995C22×D3—68no—
996C22×D3—92no—
997C22×D3—94no—
998C22×D3—94no—
999C22×D3—94no—
1000C22×D3—94no—
1001C22×D3—92no—
1002C22×D3—94no—
1003C22×D3—184no—
1004C22×D3—182no—
1005C22×D3—1816no—
1006C22×D3—188no—
1007C22×D3C2×D3212yes—
1008C3×Q8—32no—
1009C3×Q8—61no—
1010C3×Q8—94no—
1011C3×Q8—92no—
1012C3×D4—34no—
1013C3×D4—32no—
1014C3×D4—61no—
1015C3×D4—62no—
1016C3×D4—94no—
1017C3×D4—94no—
1018C3×D4—94no—
1019C3×D4—94no—
1020C3×D4—92no—
1021C2×C3×C4—21no—
1022C2×C3×C4—22no—
1023C2×C3×C4—32no—
1024C2×C3×C4—32no—
1025C2×C3×C4—32no—
1026C2×C3×C4—32no—
1027C2×C3×C4—32no—
1028C2×C3×C4—32no—
1029C2×C3×C4—32no—
1030C2×C3×C4—32no—
1031C2×C3×C4—34no—
1032C2×C3×C4—32no—
1033C2×C3×C4—32no—
1034C2×C3×C4—41no—
1035C2×C3×C4—62no—
1036C2×C3×C4—62no—
1037C2×C3×C4—62no—
1038C2×C3×C4—62no—
1039C2×C3×C4—62no—
1040C2×C3×C4—62no—
1041C2×C3×C4—91no—
1042C2×C3×C4—91no—
1043C2×C3×C4—94no—
1044C2×C3×C4—92no—
1045C2×C3×C4—92no—
1046C2×C3×C4—94no—
1047C2×C3×C4—92no—
1048C2×C3×C4—94no—
1049C2×C3×C4—92no—
1050C2×C3×C4—92no—
1051C2×C3×C4—91no—
1052C2×C3×C4—91no—
1053C2×C3×C4—91no—
1054C2×C3×C4—94no—
1055C2×C3×C4—91no—
1056C2×C3×C4—91no—
1057C2×C3×C4C2×D3212yescomplemented
1058C2×C3×C4C2×D3211yescharacteristic, complemented
1059#67—34no—
1060#67—34no—
1061#67—34no—
1062#67—34no—
1063#67—34no—
1064#67—34no—
1065#67—64no—
1066#67—94no—
1067#67—94no—
1068#67—94no—
1069#67—94no—
1070#67—94no—
1071#67—94no—
1072#67—94no—
1073#67—94no—
1074#67—94no—
1075#67—92no—
1076#67—94no—
1077#67—92no—
1078#67—94no—
1079#67—92no—
1080#67—94no—
1081#67—184no—
1082#67—182no—
1083#67—184no—
1084#67—182no—
1085#67—184no—
1086#67—182no—
1087#67—362no—
1088#67C2×D3212yescomplemented
1089C2×Dic3—32no—
1090C2×Dic3—34no—
1091C2×Dic3—32no—
1092C2×Dic3—32no—
1093C2×Dic3—32no—
1094C2×Dic3—32no—
1095C2×Dic3—34no—
1096C2×Dic3—61no—
1097C2×Dic3—92no—
1098C2×Dic3—94no—
1099C2×Dic3—94no—
1100C2×Dic3—94no—
1101C2×Dic3—94no—
1102C2×Dic3—92no—
1103C2×Dic3—94no—
1104C2×Dic3—184no—
1105C2×Dic3—182no—
1106C2×Dic3C2×D3212yescomplemented
1107D12—34no—
1108D12—34no—
1109D12—32no—
1110D12—32no—
1111D12—62no—
1112D12—94no—
1113D12—94no—
1114D12—94no—
1115D12—92no—
1116D12—94no—
1117D12—92no—
1118D12—94no—
1119D12—91no—
1120D12—92no—
1121D12—182no—
1122D12—181no—
1123D12—184no—
1124D12—182no—
1125D12—361no—
1126D12C2×D3211yescharacteristic, complemented
1127C4×D3—32no—
1128C4×D3—32no—
1129C4×D3—34no—
1130C4×D3—32no—
1131C4×D3—32no—
1132C4×D3—34no—
1133C4×D3—32no—
1134C4×D3—32no—
1135C4×D3—32no—
1136C4×D3—32no—
1137C4×D3—34no—
1138C4×D3—34no—
1139C4×D3—32no—
1140C4×D3—32no—
1141C4×D3—32no—
1142C4×D3—32no—
1143C4×D3—34no—
1144C4×D3—34no—
1145C4×D3—61no—
1146C4×D3—61no—
1147C4×D3—61no—
1148C4×D3—61no—
1149C4×D3—64no—
1150C4×D3—94no—
1151C4×D3—94no—
1152C4×D3—94no—
1153C4×D3—94no—
1154C4×D3—94no—
1155C4×D3—94no—
1156C4×D3—94no—
1157C4×D3—94no—
1158C4×D3—94no—
1159C4×D3—92no—
1160C4×D3—94no—
1161C4×D3—94no—
1162C4×D3—92no—
1163C4×D3—92no—
1164C4×D3—94no—
1165C4×D3—184no—
1166C4×D3—182no—
1167C4×D3—184no—
1168C4×D3—182no—
1169C4×D3—184no—
1170C4×D3—182no—
1171C4×D3—362no—
1172C4×D3C2×D3212yes—
1173C4×D3C2×D3212yes—
1174C4×D3C2×D3212yescomplemented
1175C4×D3C2×D3212yescomplemented
1176C4×D3C2×D3212yescomplemented
1177Dic6—32no—
1178Dic6—32no—
1179Dic6—34no—
1180Dic6—34no—
1181Dic6—62no—
1182Dic6—92no—
1183Dic6—94no—
1184Dic6—94no—
1185Dic6—94no—
1186Dic6—94no—
1187Dic6—91no—
1188Dic6—92no—
1189Dic6—92no—
1190Dic6—94no—
1191Dic6—184no—
1192Dic6—182no—
1193Dic6—182no—
1194Dic6—181no—
1195Dic6—361no—
1196Dic6C2×D3211yescharacteristic, complemented
1197C2×C32—21no—
1198C2×C32—22no—
1199C2×C32—22no—
1200C2×C32—21no—
1201C2×C32—34no—
1202C2×C32—41no—
1203C2×C32—42no—
1204C2×C32—41no—
1205C2×C32—62no—
1206C2×C32—62no—
1207C2×C32—81no—
1208C2×C32C24×D311yescharacteristic
1209C2×C32C24×D312yes—
1210C3⋊D3—21no—
1211C3⋊D3—24no—
1212C3⋊D3—62no—
1213C3⋊D3—64no—
1214C3⋊D3—124no—
1215C3⋊D3—122no—
1216C3⋊D3—242no—
1217C3⋊D3C2×#23512yescomplemented
1218C3×D3—22no—
1219C3×D3—24no—
1220C3×D3—22no—
1221C3×D3—24no—
1222C3×D3—34no—
1223C3×D3—42no—
1224C3×D3—42no—
1225C3×D3—62no—
1226C3×D3—64no—
1227C3×D3—64no—
1228C3×D3—62no—
1229C3×D3—124no—
1230C3×D3—121no—
1231C3×D3C2×#23514yescomplemented
1232C3×D3D3×#4114yescomplemented
1233C24—91no—
1234C24—272no—
1235#41—31no—
1236#41—94no—
1237#41—94no—
1238#41—92no—
1239#41—92no—
1240#41—92no—
1241#41—274no—
1242#41—272no—
1243#41—274no—
1244#41—272no—
1245#41—272no—
1246#41—272no—
1247#41—274no—
1248#41—274no—
1249#41—274no—
1250#41—274no—
1251#41—272no—
1252#41—271no—
1253#41—274no—
1254#41—272no—
1255#41—274no—
1256#41—272no—
1257#41—271no—
1258#41—271no—
1259C2×Q8—92no—
1260C2×Q8—272no—
1261C2×Q8—274no—
1262C2×Q8—271no—
1263C2×Q8—272no—
1264C2×Q8—271no—
1265C2×D4—92no—
1266C2×D4—94no—
1267C2×D4—272no—
1268C2×D4—271no—
1269C2×D4—272no—
1270C2×D4—271no—
1271C2×D4—274no—
1272C2×D4—274no—
1273C2×D4—272no—
1274C2×D4—272no—
1275C2×D4—272no—
1276C2×D4—272no—
1277C2×D4—274no—
1278C2×D4—274no—
1279C22×C4—32no—
1280C22×C4—91no—
1281C22×C4—91no—
1282C22×C4—91no—
1283C22×C4—92no—
1284C22×C4—91no—
1285C22×C4—92no—
1286C22×C4—91no—
1287C22×C4—94no—
1288C22×C4—92no—
1289C22×C4—91no—
1290C22×C4—274no—
1291C22×C4—272no—
1292C22×C4—272no—
1293C22×C4—272no—
1294C22×C4—274no—
1295C22×C4—272no—
1296C22×C4—272no—
1297C22×C4—274no—
1298C22×C3—21no—
1299C22×C3—22no—
1300C22×C3—32no—
1301C22×C3—32no—
1302C22×C3—32no—
1303C22×C3—34no—
1304C22×C3—32no—
1305C22×C3—41no—
1306C22×C3—62no—
1307C22×C3—62no—
1308C22×C3—62no—
1309C22×C3—64no—
1310C22×C3—64no—
1311C22×C3—94no—
1312C22×C3—91no—
1313C22×C3—94no—
1314C22×C3—91no—
1315C22×C3—124no—
1316C22×C3—182no—
1317C22×C3—188no—
1318C22×C3—184no—
1319C22×C3—182no—
1320C22×C3C22×D3212yes—
1321C22×C3C22×D3211yescharacteristic
1322C2×D3—24no—
1323C2×D3—32no—
1324C2×D3—38no—
1325C2×D3—32no—
1326C2×D3—34no—
1327C2×D3—34no—
1328C2×D3—61no—
1329C2×D3—61no—
1330C2×D3—64no—
1331C2×D3—64no—
1332C2×D3—64no—
1333C2×D3—68no—
1334C2×D3—64no—
1335C2×D3—64no—
1336C2×D3—68no—
1337C2×D3—94no—
1338C2×D3—92no—
1339C2×D3—122no—
1340C2×D3—184no—
1341C2×D3—182no—
1342C2×D3—184no—
1343C2×D3—188no—
1344C2×D3—188no—
1345C2×D3—184no—
1346C2×D3—188no—
1347C2×D3—188no—
1348C2×D3—188no—
1349C2×D3—362no—
1350C2×D3—364no—
1351C2×D3—368no—
1352C2×D3C22×D3212yes—
1353C2×D3C22×D3212yes—
1354C2×D3C22×D3212yes—
1355C3×C4—22no—
1356C3×C4—21no—
1357C3×C4—21no—
1358C3×C4—22no—
1359C3×C4—32no—
1360C3×C4—34no—
1361C3×C4—32no—
1362C3×C4—32no—
1363C3×C4—32no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—62no—
1367C3×C4—62no—
1368C3×C4—62no—
1369C3×C4—91no—
1370C3×C4—94no—
1371C3×C4—91no—
1372C3×C4C22×D3211yescharacteristic
1373C3×C4C22×D3212yes—
1374C3×C4C22×D3212yes—
1375C3×C4C22×D3211yescharacteristic
1376Dic3—34no—
1377Dic3—34no—
1378Dic3—32no—
1379Dic3—32no—
1380Dic3—64no—
1381Dic3—61no—
1382Dic3—61no—
1383Dic3—94no—
1384Dic3—92no—
1385Dic3—184no—
1386Dic3—182no—
1387Dic3—362no—
1388Dic3C22×D3212yes—
1389Dic3C22×D3212yes—
1390Dic3C22×D3212yes—
1391C32—22no—
1392C32—21no—
1393C32—41no—
1394C32C22×#23511yescharacteristic, complemented
1395C32C2×D3×#4112yescomplemented
1396C23—32no—
1397C23—91no—
1398C23—92no—
1399C23—91no—
1400C23—94no—
1401C23—91no—
1402C23—184no—
1403C23—274no—
1404C23—272no—
1405C23—272no—
1406C23—548no—
1407Q8—31no—
1408Q8—94no—
1409Q8—92no—
1410Q8—274no—
1411Q8—272no—
1412Q8—272no—
1413Q8—271no—
1414D4—32no—
1415D4—31no—
1416D4—94no—
1417D4—94no—
1418D4—94no—
1419D4—94no—
1420D4—92no—
1421D4—274no—
1422D4—272no—
1423D4—272no—
1424D4—274no—
1425D4—272no—
1426D4—274no—
1427D4—274no—
1428D4—272no—
1429D4—272no—
1430D4—271no—
1431C2×C4—32no—
1432C2×C4—32no—
1433C2×C4—32no—
1434C2×C4—32no—
1435C2×C4—32no—
1436C2×C4—32no—
1437C2×C4—91no—
1438C2×C4—91no—
1439C2×C4—92no—
1440C2×C4—94no—
1441C2×C4—92no—
1442C2×C4—92no—
1443C2×C4—92no—
1444C2×C4—92no—
1445C2×C4—94no—
1446C2×C4—94no—
1447C2×C4—91no—
1448C2×C4—91no—
1449C2×C4—91no—
1450C2×C4—91no—
1451C2×C4—91no—
1452C2×C4—94no—
1453C2×C4—274no—
1454C2×C4—272no—
1455C2×C4—272no—
1456C2×C4—274no—
1457C2×C4—272no—
1458C2×C4—274no—
1459C2×C4—274no—
1460C2×C4—272no—
1461C2×C4—272no—
1462C2×C4D3311yescharacteristic, complemented
1463C2×C3—22no—
1464C2×C3—21no—
1465C2×C3—21no—
1466C2×C3—22no—
1467C2×C3—34no—
1468C2×C3—34no—
1469C2×C3—41no—
1470C2×C3—42no—
1471C2×C3—41no—
1472C2×C3—64no—
1473C2×C3—62no—
1474C2×C3—64no—
1475C2×C3—62no—
1476C2×C3—81no—
1477C2×C3—92no—
1478C2×C3—122no—
1479C2×C3—122no—
1480C2×C3—184no—
1481C2×C3—181no—
1482C2×C3C23×D3212yes—
1483C2×C3C23×D3211yescharacteristic
1484D3—22no—
1485D3—22no—
1486D3—34no—
1487D3—62no—
1488D3—62no—
1489D3—64no—
1490D3—64no—
1491D3—121no—
1492D3—124no—
1493D3—184no—
1494D3—182no—
1495D3—362no—
1496D3—364no—
1497D3—722no—
1498D3D3×#23514yesdirect product factor
1499C22—32no—
1500C22—32no—
1501C22—32no—
1502C22—64no—
1503C22—94no—
1504C22—91no—
1505C22—91no—
1506C22—94no—
1507C22—182no—
1508C22—184no—
1509C22—188no—
1510C22—182no—
1511C22—272no—
1512C22—548no—
1513C22—544no—
1514C22—544no—
1515C22C2×D3311yescharacteristic
1516C4—32no—
1517C4—32no—
1518C4—32no—
1519C4—91no—
1520C4—91no—
1521C4—94no—
1522C4—272no—
1523C4C2×D3311yescharacteristic
1524C4C2×D3311yescharacteristic
1525C3—21no—
1526C3—22no—
1527C3—41no—
1528C3C2×D3×#23512yescomplemented
1529C3D32×#4111yescharacteristic, complemented
1530C2—21no—
1531C2—34no—
1532C2—62no—
1533C2—62no—
1534C2—92no—
1535C2—181no—
1536C2—184no—
1537C2—542no—
1538C2C22×D3311yescharacteristic
subgroupG/H
centerC4C2×D33
commutator, socle, cosocleC2×C33C25
FrattiniC2C22×D33
FittingC2×C33×C4C23
hypercenterC2×C4D33
hypocenterC33C22×#41
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. #11724618C2semidirect
2. C3⋊D3×#235C2semidirect
3. D3×#3828C2semidirect
4. C3×D3×#235C2semidirect
5. C2×C3×C4×D32C2semidirect
6. D32×#67C2semidirect
7. #11724410C2semidirect
8. D3×#3804C2semidirect
9. D32×D12C2semidirect
10. C4×D33C2semidirect
11. #11724389C2semidirect
12. #11724388C2semidirect
13. #11724387C2semidirect
14. D3×#3799C2semidirect
15. D3×#3798C2semidirect
16. D3×#3795C2semidirect
17. D32×Dic6C2semidirect
22. #89076C22semidirect
23. C3×#3828C22semidirect
24. C2×C3×C4×C3⋊D3C22semidirect
25. C32×#235C22semidirect
26. C2×C32×C4×D3C22semidirect
27. #89049C22semidirect
28. #89046C22semidirect
29. C4⋊#1113C22semidirect
30. C4×#1113C22semidirect
31. #89042C22semidirect
32. #89041C22semidirect
33. #89040C22semidirect
34. C3⋊D3×#67C22semidirect
35. D3×#638C22semidirect
36. #89031C22semidirect
37. #89028C22semidirect
38. C3⋊D3×D12C22semidirect
39. D3×C4⋊(C3⋊D3)C22semidirect
40. C4×D3×C3⋊D3C22semidirect
41. C4×D3×C3⋊D3C22semidirect
42. #89022C22semidirect
43. #89021C22semidirect
44. #89020C22semidirect
45. #89020C22semidirect
46. #89018C22semidirect
47. C3⋊D3×Dic6C22semidirect
48. #89014C22semidirect
49. D3×#634C22semidirect
50. C3×D3×#67C22semidirect
51. C2×C3×#624C22semidirect
52. C3×#3804C22semidirect
53. C2×C3×D3×Dic3C22semidirect
54. C3×D3×D12C22semidirect
57. C3×C4×D32C22semidirect
58. C3×C4×D32C22semidirect
59. C3×C4×D32C22semidirect
60. C3×C4×D32C22semidirect
61. C3×C4×D32C22semidirect
62. C3×#3799C22semidirect
63. C3×#3798C22semidirect
64. C3×#3795C22semidirect
65. C3×D3×Dic6C22semidirect
66. #88965C22semidirect
67. #88962C22semidirect
68. #88961C22semidirect
69. #88960C22semidirect
70. #88960C22semidirect
71. #88959C22semidirect
72. #88957C22semidirect
73. D3×#627C22semidirect
74. #88955C22semidirect
75. #88953C22semidirect
76. #88952C22semidirect
77. D3×#626C22semidirect
78. D3×#626C22semidirect
79. D3×#625C22semidirect
80. #88949C22semidirect
81. D3×#624C22semidirect
82. D3×#624C22semidirect
84. D32×Dic3C22semidirect
118. D3×#235D3direct (N × H)
122. C2×C4×D32D3semidirect
138. C2×C33×C4C23semidirect
139. #6312C23semidirect
140. C4⋊(C3⋊(C3⋊D3))C23semidirect
141. C4×C3⋊(C3⋊D3)C23semidirect
142. #6308C23semidirect
143. C3×#638C23semidirect
144. C2×C3×C3⋊Dic3C23semidirect
145. C3×C4⋊(C3⋊D3)C23semidirect
148. C3×C4×C3⋊D3C23semidirect
149. C3×C4×C3⋊D3C23semidirect
150. C3×C4×C3⋊D3C23semidirect
151. C3×#634C23semidirect
152. C32×#67C23semidirect
153. C2×C32×Dic3C23semidirect
154. C32×D12C23semidirect
157. C32×C4×D3C23semidirect
158. C32×C4×D3C23semidirect
159. C32×C4×D3C23semidirect
160. C32×Dic6C23semidirect
161. #6296C23semidirect
162. #6295C23semidirect
163. #6295C23semidirect
165. #6294C23semidirect
166. #6293C23semidirect
167. #6293C23semidirect
168. #6292C23semidirect
169. #6292C23semidirect
170. #6291C23semidirect
171. #6291C23semidirect
172. #6290C23semidirect
173. #6290C23semidirect
174. #6289C23semidirect
175. #6289C23semidirect
177. Dic3×C3⋊D3C23semidirect
179. D3×C3⋊Dic3C23semidirect
180. C3×#627C23semidirect
181. C3×#626C23semidirect
182. C3×#626C23semidirect
183. C3×#625C23semidirect
186. C3×#624C23semidirect
187. C3×#624C23semidirect
191. C3×D3×Dic3C23semidirect
192. C3×D3×Dic3C23semidirect
193. C3×D3×Dic3C23semidirect
219. #3828C2×D3semidirect
223. C2×C4×C3⋊D3C2×D3semidirect
242. C3×#235C2×D3semidirect
259. C2×C3×C4×D3C2×D3semidirect
260. C2×C3×C4×D3C2×D3semidirect
277. D3×#67C2×D3semidirect
284. C2×#624C2×D3semidirect
299. #3804C2×D3semidirect
303. C2×D3×Dic3C2×D3semidirect
315. D3×D12C2×D3semidirect
332. C4×D32C2×D3semidirect
333. C4×D32C2×D3semidirect
334. C4×D32C2×D3semidirect
335. C4×D32C2×D3semidirect
336. C4×D32C2×D3semidirect
346. #3799C2×D3semidirect
358. #3798C2×D3semidirect
372. #3795C2×D3semidirect
382. D3×Dic6C2×D3semidirect
399. C3×D32#41semidirect
493. C2×C32×C4C22×D3semidirect
494. C2×C32×C4C22×D3semidirect
504. #638C22×D3semidirect
507. C2×C3⋊Dic3C22×D3semidirect
515. C4⋊(C3⋊D3)C22×D3semidirect
527. C4×C3⋊D3C22×D3semidirect
528. C4×C3⋊D3C22×D3semidirect
529. C4×C3⋊D3C22×D3semidirect
537. #634C22×D3semidirect
546. C3×#67C22×D3semidirect
556. C2×C3×Dic3C22×D3semidirect
557. C2×C3×Dic3C22×D3semidirect
564. C3×D12C22×D3semidirect
597. C3×C4×D3C22×D3semidirect
598. C3×C4×D3C22×D3semidirect
599. C3×C4×D3C22×D3semidirect
600. C3×C4×D3C22×D3semidirect
601. C3×C4×D3C22×D3semidirect
608. C3×Dic6C22×D3semidirect
616. #627C22×D3semidirect
630. #626C22×D3semidirect
631. #626C22×D3semidirect
639. #625C22×D3semidirect
649. #624C22×D3semidirect
650. #624C22×D3semidirect
667. D3×Dic3C22×D3semidirect
668. D3×Dic3C22×D3semidirect
669. D3×Dic3C22×D3semidirect
676. C3×C3⋊D3C2×#41semidirect
679. C32×D3C2×#41semidirect
814. #235D32direct (N × H)
857. C2×C4×D3D32semidirect
923. D32#235direct (N × H)
977. C33C22×#41semidirect
1057. C2×C3×C4C2×D32semidirect
1058. C2×C3×C4C2×D32semidirect
1088. #67C2×D32semidirect
1106. C2×Dic3C2×D32semidirect
1126. D12C2×D32semidirect
1174. C4×D3C2×D32semidirect
1175. C4×D3C2×D32semidirect
1176. C4×D3C2×D32semidirect
1196. Dic6C2×D32semidirect
1217. C3⋊D3C2×#235semidirect
1231. C3×D3C2×#235semidirect
1232. C3×D3D3×#41semidirect
1394. C32C22×#235semidirect
1395. C32C2×D3×#41semidirect
1462. C2×C4D33semidirect
1498. D3D3×#235direct (N × H)
1528. C3C2×D3×#235semidirect
1529. C3D32×#41semidirect

Maximal subgroups

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

subgroupindex
#117246182
C3⋊D3×#2352
D3×#38282
C3×D3×#2352
C2×C3×C4×D322
D32×#672
#117244102
D3×#38042
D32×D122
C4×D332
#117243892
#117243882
#117243872
D3×#37992
D3×#37982
D3×#37952
D32×Dic62
D32×#413
C2×D3×#2353