Finite Group Databasebeta

← D3×#63978 #13172659

Subgroups — D3×#63978 #13172659

Order 1728.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1454 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
3C22×C3×D3×Dic3C211yesmaximal, characteristic, complemented
4C2×D3×#626C211yesmaximal, characteristic, complemented
5#11723717C211yesmaximal, characteristic, complemented
6#11723635C211yesmaximal, characteristic, complemented
7#11723632C211yesmaximal, characteristic, complemented
8C3×#63978C211yesmaximal, characteristic, complemented
9#11722960C211yesmaximal, characteristic, complemented
10#11722959C211yesmaximal, characteristic, complemented
11#11722958C211yesmaximal, characteristic, complemented
12#11722956C211yesmaximal, characteristic, complemented
13D3×Dic3⋊Dic3C211yesmaximal, characteristic, complemented
14D3×#3722C211yesmaximal, characteristic, complemented
15D3×(C2×D3)⋊Dic3C211yesmaximal, characteristic, complemented
16C2×#63978—31nomaximal
17D3×#939—31nomaximal
18D3×#930—31nomaximal
19C23×C32×D3C2211yescharacteristic
20C22×D3×C3⋊D3C2211yescharacteristic
21C22×C3×D32C2211yescharacteristic
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, complemented
32C2×#6291C2211yescharacteristic, complemented
33C2×#6290C2211yescharacteristic, complemented
34C2×D3×C3⋊Dic3C2211yescharacteristic
35C3×D3×#67—24no—
36C2×C3×#626C2211yescharacteristic, complemented
37C2×C3×#626C2211yescharacteristic, complemented
38C2×C3×#625C2211yescharacteristic, complemented
39C2×C3×D3×Dic3—24no—
40C2×C3×D3×Dic3C2211yescharacteristic
41C2×C3×D3×Dic3C2211yescharacteristic
42C2×C3×D3×Dic3C2211yescharacteristic
43C2×C3×D3×Dic3C2211yescharacteristic, complemented
44C2×C3×D3×Dic3C2211yescharacteristic, complemented
45D3×#626—24no—
46#88815C2211yescharacteristic, complemented
47#88814C2211yescharacteristic, complemented
48#88814C2211yescharacteristic, complemented
49#88807C2211yescharacteristic, complemented
50Dic3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
51#88804C2211yescharacteristic, complemented
52#88804C2211yescharacteristic, complemented
53#88803C2211yescharacteristic, complemented
54(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
55C3×Dic3⋊Dic3C2211yescharacteristic, complemented
56C3×#3722C2211yescharacteristic, complemented
57C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C22×#638—31no—
59C22×C3×#67—31no—
60C23×C3×Dic3—31no—
61C2×C3×D3×D4—31no—
62C22×C3×C4×D3—31no—
63C2×D3×#67—31no—
64C2×D3×#67—31no—
65C2×D3×#67—31no—
66C2×D3×#67—61no—
67C2×D3×#67D311yescharacteristic, complemented
68C22×#626—31no—
69C22×D3×Dic3D311yescharacteristic, complemented
70C2×D3×D12—31no—
71#64148—31no—
72#64139—31no—
73C3×#939—31no—
74C3×#930—31no—
75#63980—31no—
76#63978—31no—
77#63978—31no—
78#63978—31no—
79#63978—31no—
80#63978—31no—
81#63978—31no—
82#63978—31no—
83#63978—31no—
84#63978—31no—
85#63978—31no—
86#63978—61no—
87#63978—61no—
88#63978D311yescharacteristic, direct product factor
89#63971—31no—
90#63970—31no—
91D3×#217—31no—
92C2×Dic3⋊Dic3—31no—
93C2×#3722—31no—
94C2×(C2×D3)⋊Dic3—31no—
95D3×(C2×D3)⋊C4—31no—
96D3×(C2×D3)⋊C4—31no—
97D3×(C2×D3)⋊C4—31no—
98#63909—31no—
99#63908—31no—
100#63906—31no—
101#63906—31no—
102D3×C4⋊Dic3—31no—
103#63886—31no—
104#63885—31no—
105D3×Dic3⋊C4—31no—
106C23×C33C2311yescharacteristic
107C22×C3⋊(C3⋊D3)C2311yescharacteristic
108C22×C3×C3⋊D3C2311yescharacteristic
109C22×C3×C3⋊D3C2311yescharacteristic
110C22×C32×D3—22no—
111C22×C32×D3—22no—
112C22×C32×D3D414yescomplemented
113C22×C32×D3C2311yescharacteristic
114C22×C32×D3C2311yescharacteristic
115C22×C32×D3C2311yescharacteristic
116C2×D3×C3⋊D3—22no—
117C2×D3×C3⋊D3—22no—
118C2×D3×C3⋊D3—22no—
119C2×C3×D32—22no—
120C2×C3×D32—22no—
121C2×C3×D32—22no—
122#6312—22no—
123C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
124C3×#638—22no—
125C3×#638—22no—
126C2×C3×C3⋊Dic3—22no—
127C2×C3×C3⋊Dic3C2311yescharacteristic
128C2×C3×C3⋊Dic3C2311yescharacteristic
129C2×C3×C3⋊Dic3C2311yescharacteristic
130C2×C3×C3⋊Dic3C2311yescharacteristic
131C32×#67—22no—
132C2×C32×Dic3—22no—
133C2×C32×Dic3C2311yescharacteristic
134C2×C32×Dic3C2311yescharacteristic
135C2×C32×Dic3C2311yescharacteristic
136#6295—22no—
137#6292—22no—
138#6291—22no—
139#6291—22no—
140#6290—22no—
141D3×C3⋊Dic3—22no—
142C3×#626—22no—
143C3×#626—22no—
144C3×#625—22no—
145C3×D3×Dic3—22no—
146C3×D3×Dic3—22no—
147C3×D3×Dic3—22no—
148C3×D3×Dic3—22no—
149C3×D3×Dic3D414yescomplemented
150C2×#939—91no—
151C2×#930—91no—
152D3×#121—91no—
153C24×C32—31no—
154C23×C3⋊D3—31no—
155C23×C3×D3—21no—
156C23×C3×D3—31no—
157C23×C3×D3—31no—
158C23×C3×D3C2×D311yescharacteristic
159C23×C3×D3C2×D311yescharacteristic
160C22×D32—31no—
161C22×D32—31no—
162C22×D32—61no—
163C22×D32C2×D311yescharacteristic
164C2×C32×D4—31no—
165C22×C32×C4—31no—
166C2×#638—31no—
167C2×#638—31no—
168C2×#638—31no—
169C2×#638—31no—
170C2×#638—31no—
171C2×#638—31no—
172C2×#638—64no—
173C2×#638—61no—
174C2×#638—61no—
175C2×#638—61no—
176C2×#638—121no—
177C2×#638C2×D311yescharacteristic, complemented
178C2×#638C2×D311yescharacteristic, complemented
179C22×C3⋊Dic3—31no—
180C22×C3⋊Dic3C2×D311yescharacteristic, complemented
181C2×C4⋊(C3⋊D3)—31no—
182C2×C3×#67—21no—
183C2×C3×#67—31no—
184C2×C3×#67—31no—
185C2×C3×#67—31no—
186C2×C3×#67—31no—
187C2×C3×#67—31no—
188C2×C3×#67—31no—
189C2×C3×#67—31no—
190C2×C3×#67—31no—
191C2×C3×#67—64no—
192C2×C3×#67—61no—
193C2×C3×#67—61no—
194C2×C3×#67C2×D311yescharacteristic, complemented
195C2×C3×#67C2×D311yescharacteristic, complemented
196C22×C3×Dic3—21no—
197C22×C3×Dic3—31no—
198C22×C3×Dic3—31no—
199C22×C3×Dic3—31no—
200C22×C3×Dic3—31no—
201C22×C3×Dic3—31no—
202C22×C3×Dic3—31no—
203C22×C3×Dic3—31no—
204C22×C3×Dic3—64no—
205C22×C3×Dic3—61no—
206C22×C3×Dic3C2×D311yescharacteristic, complemented
207C22×C3×Dic3C2×D311yescharacteristic, complemented
208C3×D3×D4—64no—
209C2×C3×D12—31no—
210C2×C3×D12—31no—
211C2×C3×C4×D3—31no—
212C2×C3×C4×D3—31no—
213C2×C3×C4×D3—31no—
214C2×C3×C4×D3—31no—
215C2×C3×C4×D3—31no—
216C2×C3×C4×D3—64no—
217D3×#67—24no—
218D3×#67—68no—
219D3×#67—64no—
220D3×#67—64no—
221D3×#67—64no—
222C2×#626—31no—
223C2×#626—31no—
224C2×#626—31no—
225C2×#626—31no—
226C2×#626—31no—
227C2×#626—31no—
228C2×#626—31no—
229C2×#626—31no—
230C2×#626—64no—
231C2×#626—61no—
232C2×#626—61no—
233C2×#626—61no—
234C2×#626C2×D311yescharacteristic, complemented
235C2×#626C2×D311yescharacteristic, complemented
236C2×#625—31no—
237C2×#625—31no—
238C2×#625—31no—
239C2×#625—61no—
240C2×#625C2×D311yescharacteristic, complemented
241C2×D3×Dic3—24no—
242C2×D3×Dic3—31no—
243C2×D3×Dic3—31no—
244C2×D3×Dic3—61no—
245C2×D3×Dic3C2×D311yescharacteristic
246C2×D3×Dic3C2×D311yescharacteristic
247C2×D3×Dic3C2×D311yescharacteristic
248C2×D3×Dic3C2×D311yescharacteristic, complemented
249C2×D3×Dic3C2×D311yescharacteristic, complemented
250D3×D12—64no—
251#3757—31no—
252#3752—31no—
253#3752—31no—
254#3752—31no—
255C4⋊(C3⋊Dic3)—31no—
256#3750—31no—
257C3×#217—31no—
258C3×(C2×D3)⋊C4—31no—
259C3×(C2×D3)⋊C4—31no—
260C3×(C2×D3)⋊C4—31no—
261C3×C4⋊Dic3—31no—
262C3×Dic3⋊C4—31no—
263#3724—31no—
264Dic3⋊Dic3—31no—
265Dic3⋊Dic3—31no—
266Dic3⋊Dic3—31no—
267Dic3⋊Dic3—31no—
268Dic3⋊Dic3—31no—
269Dic3⋊Dic3—31no—
270Dic3⋊Dic3—61no—
271Dic3⋊Dic3—61no—
272Dic3⋊Dic3C2×D311yescharacteristic, complemented
273#3722—31no—
274#3722—31no—
275#3722—31no—
276#3722—31no—
277#3722—31no—
278#3722—31no—
279#3722—61no—
280#3722—61no—
281#3722C2×D311yescharacteristic, complemented
282(C2×D3)⋊Dic3—31no—
283(C2×D3)⋊Dic3—31no—
284(C2×D3)⋊Dic3—31no—
285(C2×D3)⋊Dic3—31no—
286(C2×D3)⋊Dic3—31no—
287(C2×D3)⋊Dic3—31no—
288(C2×D3)⋊Dic3—31no—
289(C2×D3)⋊Dic3—31no—
290(C2×D3)⋊Dic3—61no—
291(C2×D3)⋊Dic3—61no—
292(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
293C22×C33—21no—
294C22×C33—21no—
295C22×C33C2×D412yescomplemented
296C22×C33C2411yescharacteristic
297C2×C3⋊(C3⋊D3)—21no—
298C2×C3⋊(C3⋊D3)—21no—
299C2×C3⋊(C3⋊D3)—21no—
300C2×C3×C3⋊D3—21no—
301C2×C3×C3⋊D3—21no—
302C2×C3×C3⋊D3—21no—
303C2×C3×C3⋊D3—21no—
304C2×C3×C3⋊D3—21no—
305C2×C3×C3⋊D3—21no—
306C2×C32×D3—21no—
307C2×C32×D3—21no—
308C2×C32×D3—28no—
309C2×C32×D3—21no—
310C2×C32×D3—21no—
311C2×C32×D3—21no—
312C2×C32×D3C2×D412yes—
313C2×C32×D3C2×D412yes—
314C2×C32×D3C2×D412yescomplemented
315C2×C32×D3#4112yes—
316D3×C3⋊D3—44no—
317C3×D32—44no—
318C3⋊(C3⋊Dic3)—21no—
319C3×C3⋊Dic3—21no—
320C3×C3⋊Dic3—21no—
321C3×C3⋊Dic3—21no—
322C3×C3⋊Dic3C2×D412yescomplemented
323C32×Dic3—21no—
324C32×Dic3—21no—
325C32×Dic3C2×D412yescomplemented
326C22×C3×D4—91no—
327C23×C3×C4—91no—
328C22×#67—31no—
329C22×#67—91no—
330C22×#67—91no—
331C22×#67—91no—
332C22×#67—181no—
333C23×Dic3—31no—
334C2×D3×D4—31no—
335C2×D3×D4—91no—
336C2×D3×D4—91no—
337C22×D12—91no—
338C22×C4×D3—31no—
339C3×#121—91no—
340C2×#217—91no—
341#939—31no—
342#939—91no—
343#939—91no—
344#939—91no—
345#939—91no—
346#939—91no—
347#939—91no—
348#939—91no—
349#939—91no—
350#939—91no—
351#939—181no—
352#938—91no—
353#930—31no—
354#930—91no—
355#930—91no—
356#930—91no—
357#930—91no—
358#930—91no—
359#930—91no—
360#930—91no—
361#930—91no—
362#930—181no—
363C2×(C2×D3)⋊C4—91no—
364C2×(C2×D3)⋊C4—91no—
365C2×(C2×D3)⋊C4—91no—
366C2×C4⋊Dic3—91no—
367C2×Dic3⋊C4—91no—
368#895—91no—
369D3×C4⋊C4—91no—
370#884—91no—
371#884—91no—
372D3×C22⋊C4—91no—
373D3×C22⋊C4—91no—
374C23×C32—21no—
375C23×C32—21no—
376C23×C32—21no—
377C23×C32—31no—
378C23×C32—34no—
379C23×C32—31no—
380C23×C32—31no—
381C23×C32—41no—
382C23×C32—62no—
383C23×C32—62no—
384C23×C32C22×D311yescharacteristic
385C23×C32C22×D311yescharacteristic
386C23×C32C22×D311yescharacteristic
387C22×C3⋊D3—31no—
388C22×C3⋊D3—31no—
389C22×C3⋊D3—31no—
390C22×C3⋊D3—61no—
391C22×C3⋊D3—61no—
392C22×C3⋊D3—61no—
393C22×C3⋊D3—62no—
394C22×C3⋊D3—62no—
395C22×C3⋊D3—62no—
396C22×C3⋊D3—121no—
397C22×C3⋊D3C22×D311yescharacteristic
398C22×C3⋊D3C22×D311yescharacteristic
399C22×C3×D3—22no—
400C22×C3×D3—22no—
401C22×C3×D3—22no—
402C22×C3×D3—22no—
403C22×C3×D3—24no—
404C22×C3×D3—21no—
405C22×C3×D3—21no—
406C22×C3×D3—21no—
407C22×C3×D3—31no—
408C22×C3×D3—31no—
409C22×C3×D3—31no—
410C22×C3×D3—31no—
411C22×C3×D3—42no—
412C22×C3×D3—42no—
413C22×C3×D3—61no—
414C22×C3×D3—61no—
415C22×C3×D3—62no—
416C22×C3×D3—62no—
417C22×C3×D3—62no—
418C22×C3×D3—62no—
419C22×C3×D3—62no—
420C22×C3×D3—62no—
421C22×C3×D3D1214yescomplemented
422C22×C3×D3#6714yescomplemented
423C22×C3×D3C22×D311yescharacteristic
424C22×C3×D3C22×D311yescharacteristic
425C22×C3×D3C22×D311yescharacteristic
426C22×C3×D3C22×D311yescharacteristic
427C22×C3×D3C22×D311yescharacteristic
428C22×C3×D3C22×D311yescharacteristic
429C2×D32—22no—
430C2×D32—22no—
431C2×D32—22no—
432C2×D32—64no—
433C2×D32—62no—
434C2×D32—62no—
435C2×D32—62no—
436C2×D32—62no—
437C2×D32—62no—
438C2×D32—62no—
439C2×D32—122no—
440C2×D32—122no—
441C32×D4—62no—
442C2×C32×C4—31no—
443C2×C32×C4—31no—
444C2×C32×C4—31no—
445C2×C32×C4—62no—
446#638—22no—
447#638—22no—
448#638—62no—
449#638—62no—
450#638—62no—
451#638—64no—
452#638—62no—
453#638—62no—
454#638—62no—
455#638—122no—
456#638—122no—
457#638—124no—
458C2×C3⋊Dic3—22no—
459C2×C3⋊Dic3—31no—
460C2×C3⋊Dic3—31no—
461C2×C3⋊Dic3—31no—
462C2×C3⋊Dic3—61no—
463C2×C3⋊Dic3—61no—
464C2×C3⋊Dic3—61no—
465C2×C3⋊Dic3—62no—
466C2×C3⋊Dic3—121no—
467C2×C3⋊Dic3C22×D311yescharacteristic
468C2×C3⋊Dic3C22×D311yescharacteristic
469C2×C3⋊Dic3C22×D311yescharacteristic
470C2×C3⋊Dic3C22×D311yescharacteristic
471C4⋊(C3⋊D3)—62no—
472C3×#67—22no—
473C3×#67—22no—
474C3×#67—42no—
475C3×#67—62no—
476C3×#67—62no—
477C3×#67—64no—
478C3×#67—62no—
479C3×#67—62no—
480C3×#67—62no—
481C3×#67—62no—
482C3×#67—62no—
483C3×#67—62no—
484C3×#67—122no—
485C2×C3×Dic3—22no—
486C2×C3×Dic3—22no—
487C2×C3×Dic3—21no—
488C2×C3×Dic3—21no—
489C2×C3×Dic3—21no—
490C2×C3×Dic3—31no—
491C2×C3×Dic3—31no—
492C2×C3×Dic3—34no—
493C2×C3×Dic3—31no—
494C2×C3×Dic3—31no—
495C2×C3×Dic3—31no—
496C2×C3×Dic3—31no—
497C2×C3×Dic3—31no—
498C2×C3×Dic3—31no—
499C2×C3×Dic3—42no—
500C2×C3×Dic3—61no—
501C2×C3×Dic3—61no—
502C2×C3×Dic3—61no—
503C2×C3×Dic3—61no—
504C2×C3×Dic3—62no—
505C2×C3×Dic3—62no—
506C2×C3×Dic3—62no—
507C2×C3×Dic3—62no—
508C2×C3×Dic3—62no—
509C2×C3×Dic3—62no—
510C2×C3×Dic3—122no—
511C2×C3×Dic3C22×D311yescharacteristic
512C2×C3×Dic3C22×D311yescharacteristic
513C2×C3×Dic3C22×D311yescharacteristic
514C2×C3×Dic3C22×D311yescharacteristic
515C2×C3×Dic3C22×D311yescharacteristic
516C2×C3×Dic3C22×D311yescharacteristic
517C3×D12—62no—
518C3×D12—62no—
519C3×C4×D3—34no—
520C3×C4×D3—62no—
521C3×C4×D3—62no—
522C3×C4×D3—62no—
523C3×C4×D3—62no—
524#626—22no—
525#626—22no—
526#626—62no—
527#626—62no—
528#626—62no—
529#626—62no—
530#626—64no—
531#626—62no—
532#626—62no—
533#626—62no—
534#626—62no—
535#626—122no—
536#626—122no—
537#625—22no—
538#625—64no—
539#625—62no—
540#625—62no—
541#625—62no—
542D3×Dic3—22no—
543D3×Dic3—22no—
544D3×Dic3—22no—
545D3×Dic3—22no—
546D3×Dic3—64no—
547D3×Dic3—62no—
548D3×Dic3—62no—
549D3×Dic3#6714yescomplemented
550C2×#121—271noSylow
551C2×C33—22no—
552C2×C33C22×D411yescharacteristic
553C2×C33C22×D411yescharacteristic
554C2×C33C2×#4111yescharacteristic
555C3⋊(C3⋊D3)—41no—
556C3×C3⋊D3—41no—
557C3×C3⋊D3—41no—
558C32×D3—22no—
559C32×D3—41no—
560C32×D3#12114yescomplemented
561C24×C3—31no—
562C24×C3—31no—
563C24×C3—61no—
564C24×C3—91no—
565C23×D3—31no—
566C23×D3—31no—
567C23×D3—91no—
568C23×D3—91no—
569C23×D3—91no—
570C23×D3—181no—
571C23×D3D3211yescharacteristic
572C2×C3×D4—31no—
573C2×C3×D4—31no—
574C2×C3×D4—61no—
575C2×C3×D4—91no—
576C2×C3×D4—91no—
577C2×C3×D4—91no—
578C2×C3×D4—91no—
579C2×C3×D4—91no—
580C2×C3×D4—184no—
581C22×C3×C4—31no—
582C22×C3×C4—31no—
583C22×C3×C4—61no—
584C22×C3×C4—91no—
585C22×C3×C4—91no—
586C22×C3×C4—91no—
587C22×C3×C4—91no—
588C22×C3×C4—91no—
589C22×C3×C4—91no—
590C22×C3×C4—184no—
591C2×#67—31no—
592C2×#67—31no—
593C2×#67—31no—
594C2×#67—31no—
595C2×#67—31no—
596C2×#67—31no—
597C2×#67—31no—
598C2×#67—31no—
599C2×#67—61no—
600C2×#67—61no—
601C2×#67—64no—
602C2×#67—91no—
603C2×#67—91no—
604C2×#67—91no—
605C2×#67—91no—
606C2×#67—91no—
607C2×#67—91no—
608C2×#67—91no—
609C2×#67—91no—
610C2×#67—91no—
611C2×#67—91no—
612C2×#67—91no—
613C2×#67—91no—
614C2×#67—91no—
615C2×#67—181no—
616C2×#67—181no—
617C2×#67—181no—
618C2×#67—181no—
619C2×#67—181no—
620C2×#67—181no—
621C2×#67—184no—
622C2×#67—184no—
623C2×#67—184no—
624C2×#67—188no—
625C2×#67—361no—
626C2×#67D3211yescharacteristic, complemented
627C22×Dic3—31no—
628C22×Dic3—31no—
629C22×Dic3—31no—
630C22×Dic3—31no—
631C22×Dic3—31no—
632C22×Dic3—31no—
633C22×Dic3—31no—
634C22×Dic3—61no—
635C22×Dic3—64no—
636C22×Dic3—91no—
637C22×Dic3—91no—
638C22×Dic3—181no—
639C22×Dic3D3211yescharacteristic, complemented
640D3×D4—64no—
641D3×D4—184no—
642D3×D4—184no—
643C2×D12—31no—
644C2×D12—31no—
645C2×D12—91no—
646C2×D12—91no—
647C2×D12—91no—
648C2×D12—91no—
649C2×D12—91no—
650C2×D12—181no—
651C2×D12—184no—
652C2×C4×D3—31no—
653C2×C4×D3—31no—
654C2×C4×D3—31no—
655C2×C4×D3—31no—
656C2×C4×D3—31no—
657C2×C4×D3—64no—
658C2×C4×D3—91no—
659C3×C4⋊C4—91no—
660C3×C22⋊C4—91no—
661C3×C22⋊C4—91no—
662#217—31no—
663#217—91no—
664#217—91no—
665#217—91no—
666#217—91no—
667#217—91no—
668#217—181no—
669(C2×D3)⋊C4—31no—
670(C2×D3)⋊C4—31no—
671(C2×D3)⋊C4—31no—
672(C2×D3)⋊C4—91no—
673(C2×D3)⋊C4—91no—
674(C2×D3)⋊C4—91no—
675(C2×D3)⋊C4—91no—
676(C2×D3)⋊C4—91no—
677(C2×D3)⋊C4—91no—
678(C2×D3)⋊C4—91no—
679(C2×D3)⋊C4—91no—
680(C2×D3)⋊C4—91no—
681(C2×D3)⋊C4—91no—
682(C2×D3)⋊C4—91no—
683(C2×D3)⋊C4—91no—
684(C2×D3)⋊C4—91no—
685(C2×D3)⋊C4—181no—
686(C2×D3)⋊C4—181no—
687(C2×D3)⋊C4—181no—
688C4⋊Dic3—31no—
689C4⋊Dic3—91no—
690C4⋊Dic3—91no—
691C4⋊Dic3—91no—
692C4⋊Dic3—91no—
693C4⋊Dic3—181no—
694Dic3⋊C4—31no—
695Dic3⋊C4—91no—
696Dic3⋊C4—91no—
697Dic3⋊C4—91no—
698Dic3⋊C4—91no—
699Dic3⋊C4—91no—
700Dic3⋊C4—181no—
701C22×C32—21no—
702C22×C32—21no—
703C22×C32—21no—
704C22×C32—21no—
705C22×C32—21no—
706C22×C32—21no—
707C22×C32—21no—
708C22×C32—21no—
709C22×C32—21no—
710C22×C32—22no—
711C22×C32—22no—
712C22×C32—22no—
713C22×C32—32no—
714C22×C32—32no—
715C22×C32—32no—
716C22×C32—32no—
717C22×C32—41no—
718C22×C32—42no—
719C22×C32—41no—
720C22×C32—41no—
721C22×C32—41no—
722C22×C32—41no—
723C22×C32—41no—
724C22×C32—41no—
725C22×C32—68no—
726C22×C32—61no—
727C22×C32—61no—
728C22×C32—61no—
729C22×C32—61no—
730C22×C32—61no—
731C22×C32—81no—
732C22×C32—81no—
733C22×C32C2×D1212yescomplemented
734C22×C32D3×D412yescomplemented
735C22×C32C2×#6712yescomplemented
736C22×C32C23×D311yescharacteristic
737C22×C32C23×D311yescharacteristic
738C22×C32C23×D311yescharacteristic
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—61no—
746C2×C3⋊D3—62no—
747C2×C3⋊D3—61no—
748C2×C3⋊D3—61no—
749C2×C3⋊D3—61no—
750C2×C3⋊D3—61no—
751C2×C3⋊D3—61no—
752C2×C3⋊D3—61no—
753C2×C3⋊D3—61no—
754C2×C3⋊D3—61no—
755C2×C3⋊D3—121no—
756C2×C3⋊D3—121no—
757C2×C3⋊D3—122no—
758C2×C3⋊D3—121no—
759C2×C3⋊D3—121no—
760C2×C3⋊D3—121no—
761C2×C3⋊D3—121no—
762C2×C3⋊D3—121no—
763C2×C3⋊D3—121no—
764C2×C3⋊D3—124no—
765C2×C3⋊D3—241no—
766C2×C3⋊D3—241no—
767C2×C3×D3—21no—
768C2×C3×D3—21no—
769C2×C3×D3—21no—
770C2×C3×D3—21no—
771C2×C3×D3—28no—
772C2×C3×D3—28no—
773C2×C3×D3—21no—
774C2×C3×D3—21no—
775C2×C3×D3—21no—
776C2×C3×D3—21no—
777C2×C3×D3—21no—
778C2×C3×D3—21no—
779C2×C3×D3—22no—
780C2×C3×D3—22no—
781C2×C3×D3—22no—
782C2×C3×D3—22no—
783C2×C3×D3—48no—
784C2×C3×D3—41no—
785C2×C3×D3—41no—
786C2×C3×D3—41no—
787C2×C3×D3—41no—
788C2×C3×D3—41no—
789C2×C3×D3—62no—
790C2×C3×D3—61no—
791C2×C3×D3—61no—
792C2×C3×D3—61no—
793C2×C3×D3—61no—
794C2×C3×D3—61no—
795C2×C3×D3—61no—
796C2×C3×D3—61no—
797C2×C3×D3—61no—
798C2×C3×D3—61no—
799C2×C3×D3—61no—
800C2×C3×D3—61no—
801C2×C3×D3—61no—
802C2×C3×D3—121no—
803C2×C3×D3—121no—
804C2×C3×D3—121no—
805C2×C3×D3—121no—
806C2×C3×D3—121no—
807C2×C3×D3—124no—
808C2×C3×D3—124no—
809C2×C3×D3C2×D1212yes—
810C2×C3×D3C2×D1212yescomplemented
811C2×C3×D3#23512yes—
812C2×C3×D3D3×D412yes—
813C2×C3×D3#23712yes—
814C2×C3×D3C2×#6712yes—
815C2×C3×D3C2×#6712yes—
816C2×C3×D3C2×#6712yescomplemented
817D32—44no—
818D32—128no—
819D32—124no—
820D32—124no—
821C32×C4—32no—
822C32×C4—61no—
823C32×C4—61no—
824C3⋊Dic3—21no—
825C3⋊Dic3—21no—
826C3⋊Dic3—21no—
827C3⋊Dic3—61no—
828C3⋊Dic3—62no—
829C3⋊Dic3—61no—
830C3⋊Dic3—61no—
831C3⋊Dic3—121no—
832C3⋊Dic3—121no—
833C3⋊Dic3—122no—
834C3⋊Dic3C2×#6712yescomplemented
835C3×Dic3—21no—
836C3×Dic3—21no—
837C3×Dic3—21no—
838C3×Dic3—21no—
839C3×Dic3—22no—
840C3×Dic3—32no—
841C3×Dic3—32no—
842C3×Dic3—41no—
843C3×Dic3—41no—
844C3×Dic3—62no—
845C3×Dic3—62no—
846C3×Dic3—61no—
847C3×Dic3—61no—
848C3×Dic3—61no—
849C3×Dic3—61no—
850C3×Dic3—61no—
851C3×Dic3—61no—
852C3×Dic3—121no—
853C3×Dic3—121no—
854C3×Dic3D3×D412yescomplemented
855C3×Dic3C2×#6712yescomplemented
856C22×D4—91no—
857C22×D4—271no—
858C22×D4—271no—
859C23×C4—91no—
860#121—91no—
861#121—271no—
862#121—271no—
863#121—271no—
864#121—271no—
865#121—271no—
866#121—271no—
867#121—271no—
868C2×C4⋊C4—271no—
869C2×C22⋊C4—271no—
870C2×C22⋊C4—271no—
871C33C2×#12111yescharacteristic, complemented, Sylow
872C23×C3—21no—
873C23×C3—21no—
874C23×C3—21no—
875C23×C3—31no—
876C23×C3—31no—
877C23×C3—31no—
878C23×C3—31no—
879C23×C3—34no—
880C23×C3—34no—
881C23×C3—31no—
882C23×C3—31no—
883C23×C3—41no—
884C23×C3—61no—
885C23×C3—61no—
886C23×C3—64no—
887C23×C3—61no—
888C23×C3—62no—
889C23×C3—62no—
890C23×C3—62no—
891C23×C3—62no—
892C23×C3—91no—
893C23×C3—91no—
894C23×C3—122no—
895C23×C3—122no—
896C23×C3—182no—
897C23×C3—182no—
898C23×C3—182no—
899C23×C3C2×D3211yescharacteristic
900C23×C3C2×D3211yescharacteristic
901C23×C3C2×D3211yescharacteristic
902C22×D3—22no—
903C22×D3—22no—
904C22×D3—31no—
905C22×D3—31no—
906C22×D3—31no—
907C22×D3—31no—
908C22×D3—61no—
909C22×D3—61no—
910C22×D3—62no—
911C22×D3—62no—
912C22×D3—62no—
913C22×D3—62no—
914C22×D3—62no—
915C22×D3—62no—
916C22×D3—91no—
917C22×D3—91no—
918C22×D3—91no—
919C22×D3—181no—
920C22×D3—181no—
921C22×D3—181no—
922C22×D3—182no—
923C22×D3—182no—
924C22×D3—182no—
925C22×D3—182no—
926C22×D3—182no—
927C22×D3—182no—
928C22×D3—184no—
929C22×D3—182no—
930C22×D3—182no—
931C22×D3—182no—
932C22×D3—361no—
933C22×D3—362no—
934C22×D3—362no—
935C22×D3#62614yescomplemented
936C22×D3C2×D3211yescharacteristic
937C22×D3C2×D3211yescharacteristic
938C22×D3C2×D3211yescharacteristic
939C3×D4—62no—
940C3×D4—62no—
941C3×D4—122no—
942C3×D4—182no—
943C3×D4—182no—
944C3×D4—182no—
945C3×D4—182no—
946C3×D4—182no—
947C2×C3×C4—31no—
948C2×C3×C4—31no—
949C2×C3×C4—31no—
950C2×C3×C4—31no—
951C2×C3×C4—31no—
952C2×C3×C4—31no—
953C2×C3×C4—61no—
954C2×C3×C4—61no—
955C2×C3×C4—61no—
956C2×C3×C4—62no—
957C2×C3×C4—62no—
958C2×C3×C4—94no—
959C2×C3×C4—91no—
960C2×C3×C4—91no—
961C2×C3×C4—91no—
962C2×C3×C4—91no—
963C2×C3×C4—122no—
964C2×C3×C4—182no—
965C2×C3×C4—182no—
966C2×C3×C4—182no—
967C2×C3×C4—182no—
968C2×C3×C4—182no—
969#67—22no—
970#67—62no—
971#67—62no—
972#67—64no—
973#67—62no—
974#67—62no—
975#67—62no—
976#67—62no—
977#67—62no—
978#67—62no—
979#67—122no—
980#67—182no—
981#67—182no—
982#67—182no—
983#67—182no—
984#67—182no—
985#67—182no—
986#67—184no—
987#67—182no—
988#67—182no—
989#67—184no—
990#67—184no—
991#67—182no—
992#67—182no—
993#67—182no—
994#67—182no—
995#67—182no—
996#67—362no—
997#67—362no—
998#67—362no—
999#67—364no—
1000C2×Dic3—22no—
1001C2×Dic3—31no—
1002C2×Dic3—31no—
1003C2×Dic3—34no—
1004C2×Dic3—31no—
1005C2×Dic3—31no—
1006C2×Dic3—31no—
1007C2×Dic3—31no—
1008C2×Dic3—31no—
1009C2×Dic3—31no—
1010C2×Dic3—61no—
1011C2×Dic3—61no—
1012C2×Dic3—61no—
1013C2×Dic3—61no—
1014C2×Dic3—62no—
1015C2×Dic3—62no—
1016C2×Dic3—62no—
1017C2×Dic3—62no—
1018C2×Dic3—62no—
1019C2×Dic3—62no—
1020C2×Dic3—91no—
1021C2×Dic3—91no—
1022C2×Dic3—91no—
1023C2×Dic3—122no—
1024C2×Dic3—181no—
1025C2×Dic3—181no—
1026C2×Dic3—181no—
1027C2×Dic3—182no—
1028C2×Dic3—182no—
1029C2×Dic3—184no—
1030C2×Dic3—361no—
1031C2×Dic3C2×D3211yescharacteristic
1032C2×Dic3C2×D3211yescharacteristic
1033C2×Dic3C2×D3211yescharacteristic
1034D12—62no—
1035D12—62no—
1036D12—182no—
1037D12—182no—
1038D12—182no—
1039D12—182no—
1040D12—182no—
1041D12—362no—
1042C4×D3—34no—
1043C4×D3—62no—
1044C4×D3—62no—
1045C4×D3—62no—
1046C4×D3—62no—
1047C4×D3—182no—
1048C2×C32—22no—
1049C2×C32—22no—
1050C2×C32—22no—
1051C2×C32—21no—
1052C2×C32—21no—
1053C2×C32—21no—
1054C2×C32—21no—
1055C2×C32—21no—
1056C2×C32—21no—
1057C2×C32—21no—
1058C2×C32—21no—
1059C2×C32—21no—
1060C2×C32—34no—
1061C2×C32—41no—
1062C2×C32—41no—
1063C2×C32—41no—
1064C2×C32—42no—
1065C2×C32—42no—
1066C2×C32—42no—
1067C2×C32—62no—
1068C2×C32—82no—
1069C2×C32—121no—
1070C2×C32C22×D1211yescharacteristic
1071C2×C32C2×#23511yescharacteristic
1072C2×C32C2×D3×D411yescharacteristic
1073C2×C32C2×D3×D411yescharacteristic
1074C2×C32C2×D3×D411yescharacteristic
1075C2×C32C2×#23711yescharacteristic
1076C2×C32D3×#4111yescharacteristic
1077C2×C32C22×#6711yescharacteristic
1078C2×C32C22×#6711yescharacteristic
1079C3⋊D3—41no—
1080C3⋊D3—41no—
1081C3⋊D3—121no—
1082C3⋊D3—122no—
1083C3⋊D3—121no—
1084C3⋊D3—121no—
1085C3⋊D3—241no—
1086C3⋊D3—241no—
1087C3⋊D3—242no—
1088C3×D3—22no—
1089C3×D3—22no—
1090C3×D3—24no—
1091C3×D3—42no—
1092C3×D3—41no—
1093C3×D3—41no—
1094C3×D3—81no—
1095C3×D3—122no—
1096C3×D3—121no—
1097C3×D3—121no—
1098C3×D3—121no—
1099C3×D3—121no—
1100C3×D3—241no—
1101C3×D3#93014yescomplemented
1102C3×D3#93914yescomplemented
1103C24—31no—
1104C24—91no—
1105C24—271no—
1106C2×D4—31no—
1107C2×D4—91no—
1108C2×D4—91no—
1109C2×D4—91no—
1110C2×D4—91no—
1111C2×D4—91no—
1112C2×D4—184no—
1113C2×D4—271no—
1114C2×D4—271no—
1115C2×D4—271no—
1116C2×D4—271no—
1117C2×D4—271no—
1118C2×D4—271no—
1119C2×D4—544no—
1120C2×D4—544no—
1121C22×C4—31no—
1122C22×C4—91no—
1123C22×C4—91no—
1124C22×C4—91no—
1125C22×C4—91no—
1126C22×C4—91no—
1127C22×C4—91no—
1128C22×C4—184no—
1129C22×C4—271no—
1130C4⋊C4—91no—
1131C4⋊C4—271no—
1132C4⋊C4—271no—
1133C4⋊C4—271no—
1134C22⋊C4—91no—
1135C22⋊C4—91no—
1136C22⋊C4—271no—
1137C22⋊C4—271no—
1138C22⋊C4—271no—
1139C22⋊C4—271no—
1140C22⋊C4—271no—
1141C22⋊C4—271no—
1142C22×C3—21no—
1143C22×C3—21no—
1144C22×C3—21no—
1145C22×C3—21no—
1146C22×C3—21no—
1147C22×C3—21no—
1148C22×C3—21no—
1149C22×C3—21no—
1150C22×C3—21no—
1151C22×C3—22no—
1152C22×C3—22no—
1153C22×C3—22no—
1154C22×C3—32no—
1155C22×C3—32no—
1156C22×C3—32no—
1157C22×C3—32no—
1158C22×C3—32no—
1159C22×C3—32no—
1160C22×C3—32no—
1161C22×C3—32no—
1162C22×C3—41no—
1163C22×C3—41no—
1164C22×C3—41no—
1165C22×C3—41no—
1166C22×C3—41no—
1167C22×C3—41no—
1168C22×C3—41no—
1169C22×C3—42no—
1170C22×C3—62no—
1171C22×C3—62no—
1172C22×C3—62no—
1173C22×C3—62no—
1174C22×C3—68no—
1175C22×C3—68no—
1176C22×C3—61no—
1177C22×C3—61no—
1178C22×C3—61no—
1179C22×C3—61no—
1180C22×C3—61no—
1181C22×C3—61no—
1182C22×C3—61no—
1183C22×C3—61no—
1184C22×C3—61no—
1185C22×C3—61no—
1186C22×C3—81no—
1187C22×C3—81no—
1188C22×C3—121no—
1189C22×C3—121no—
1190C22×C3—121no—
1191C22×C3—121no—
1192C22×C3—121no—
1193C22×C3—128no—
1194C22×C3—181no—
1195C22×C3—181no—
1196C22×C3—181no—
1197C22×C3—181no—
1198C22×C3—181no—
1199C22×C3—181no—
1200C22×C3—364no—
1201C22×C3D3×D1212yescomplemented
1202C22×C3C2×#62612yescomplemented
1203C22×C3D3×#6712yescomplemented
1204C22×C3C22×D3211yescharacteristic
1205C22×C3C22×D3211yescharacteristic
1206C22×C3C22×D3211yescharacteristic
1207C2×D3—21no—
1208C2×D3—21no—
1209C2×D3—28no—
1210C2×D3—21no—
1211C2×D3—21no—
1212C2×D3—21no—
1213C2×D3—62no—
1214C2×D3—61no—
1215C2×D3—61no—
1216C2×D3—61no—
1217C2×D3—61no—
1218C2×D3—61no—
1219C2×D3—61no—
1220C2×D3—61no—
1221C2×D3—61no—
1222C2×D3—61no—
1223C2×D3—61no—
1224C2×D3—61no—
1225C2×D3—61no—
1226C2×D3—121no—
1227C2×D3—121no—
1228C2×D3—121no—
1229C2×D3—121no—
1230C2×D3—121no—
1231C2×D3—124no—
1232C2×D3—124no—
1233C2×D3—182no—
1234C2×D3—181no—
1235C2×D3—181no—
1236C2×D3—181no—
1237C2×D3—181no—
1238C2×D3—181no—
1239C2×D3—181no—
1240C2×D3—181no—
1241C2×D3—181no—
1242C2×D3—181no—
1243C2×D3—361no—
1244C2×D3—361no—
1245C2×D3—361no—
1246C2×D3—361no—
1247C2×D3—361no—
1248C2×D3—361no—
1249C2×D3—361no—
1250C2×D3—361no—
1251C2×D3—362no—
1252C2×D3—364no—
1253C2×D3—364no—
1254C2×D3—368no—
1255C2×D3—364no—
1256C2×D3—721no—
1257C2×D3—721no—
1258C2×D3#380412yes—
1259C2×D3C2×#62612yes—
1260C2×D3C2×#62612yescomplemented
1261C2×D3D3×#6712yes—
1262C3×C4—32no—
1263C3×C4—32no—
1264C3×C4—62no—
1265C3×C4—61no—
1266C3×C4—61no—
1267C3×C4—61no—
1268C3×C4—61no—
1269C3×C4—92no—
1270C3×C4—121no—
1271C3×C4—121no—
1272C3×C4—181no—
1273C3×C4—181no—
1274C3×C4—181no—
1275Dic3—21no—
1276Dic3—21no—
1277Dic3—32no—
1278Dic3—32no—
1279Dic3—62no—
1280Dic3—62no—
1281Dic3—61no—
1282Dic3—61no—
1283Dic3—61no—
1284Dic3—61no—
1285Dic3—61no—
1286Dic3—61no—
1287Dic3—121no—
1288Dic3—121no—
1289Dic3—182no—
1290Dic3—181no—
1291Dic3—181no—
1292Dic3—181no—
1293Dic3—361no—
1294Dic3—361no—
1295Dic3—362no—
1296Dic3D3×#6712yescomplemented
1297C32—21no—
1298C32—21no—
1299C32—21no—
1300C32—41no—
1301C32D3×#12111yescharacteristic, complemented
1302C32C2×#93011yescharacteristic, complemented
1303C32C2×#93911yescharacteristic, complemented
1304C23—31no—
1305C23—31no—
1306C23—34no—
1307C23—31no—
1308C23—62no—
1309C23—62no—
1310C23—91no—
1311C23—91no—
1312C23—182no—
1313C23—182no—
1314C23—182no—
1315C23—271no—
1316C23—542no—
1317C23—542no—
1318C23—542no—
1319C23D3311yescharacteristic
1320D4—62no—
1321D4—182no—
1322D4—182no—
1323D4—182no—
1324D4—182no—
1325D4—182no—
1326D4—542no—
1327D4—542no—
1328D4—542no—
1329D4—542no—
1330D4—542no—
1331D4—542no—
1332C2×C4—31no—
1333C2×C4—31no—
1334C2×C4—31no—
1335C2×C4—62no—
1336C2×C4—94no—
1337C2×C4—91no—
1338C2×C4—91no—
1339C2×C4—91no—
1340C2×C4—91no—
1341C2×C4—182no—
1342C2×C4—182no—
1343C2×C4—182no—
1344C2×C4—182no—
1345C2×C4—182no—
1346C2×C4—271no—
1347C2×C4—542no—
1348C2×C3—22no—
1349C2×C3—22no—
1350C2×C3—22no—
1351C2×C3—21no—
1352C2×C3—21no—
1353C2×C3—21no—
1354C2×C3—21no—
1355C2×C3—21no—
1356C2×C3—21no—
1357C2×C3—21no—
1358C2×C3—21no—
1359C2×C3—21no—
1360C2×C3—34no—
1361C2×C3—34no—
1362C2×C3—42no—
1363C2×C3—42no—
1364C2×C3—42no—
1365C2×C3—41no—
1366C2×C3—41no—
1367C2×C3—41no—
1368C2×C3—64no—
1369C2×C3—62no—
1370C2×C3—62no—
1371C2×C3—82no—
1372C2×C3—122no—
1373C2×C3—121no—
1374C2×C3—121no—
1375C2×C3—241no—
1376C2×C3—361no—
1377C2×C3—361no—
1378C2×C3C2×D3×D1211yescharacteristic
1379C2×C3D3×#23511yescharacteristic
1380C2×C3D32×D411yescharacteristic
1381C2×C3D3×#23711yescharacteristic
1382C2×C3C2×#380411yescharacteristic
1383C2×C3C22×#62611yescharacteristic
1384C2×C3C2×D3×#6711yescharacteristic
1385C2×C3C2×D3×#6711yescharacteristic
1386C2×C3C2×D3×#6711yescharacteristic
1387D3—22no—
1388D3—41no—
1389D3—122no—
1390D3—121no—
1391D3—121no—
1392D3—121no—
1393D3—121no—
1394D3—241no—
1395D3—362no—
1396D3—361no—
1397D3—361no—
1398D3—361no—
1399D3—721no—
1400D3—721no—
1401D3—722no—
1402D3#6397814yesdirect product factor
1403C22—21no—
1404C22—21no—
1405C22—32no—
1406C22—32no—
1407C22—32no—
1408C22—32no—
1409C22—68no—
1410C22—61no—
1411C22—61no—
1412C22—61no—
1413C22—61no—
1414C22—61no—
1415C22—181no—
1416C22—181no—
1417C22—181no—
1418C22—181no—
1419C22—181no—
1420C22—181no—
1421C22—364no—
1422C22—541no—
1423C22—541no—
1424C22—541no—
1425C22—1084no—
1426C22D3×#62612yescomplemented
1427C22C2×D3311yescharacteristic
1428C4—32no—
1429C4—61no—
1430C4—61no—
1431C4—92no—
1432C4—181no—
1433C4—181no—
1434C4—181no—
1435C4—541no—
1436C3—21no—
1437C3—21no—
1438C3—21no—
1439C3—41no—
1440C3D3×#93011yescharacteristic, complemented
1441C3D3×#93911yescharacteristic, complemented
1442C3C2×#6397811yescharacteristic, complemented
1443C2—22no—
1444C2—34no—
1445C2—62no—
1446C2—121no—
1447C2—361no—
1448C2—361no—
1449C2—1081no—
1450C2D3×#380411yescharacteristic
1451C2C2×D3×#62611yescharacteristic
1452C2D32×#6711yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC23×C33C23
hypercenterC23D33
hypocenterC33C2×#121
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. C22×C3×D3×Dic3C2semidirect
4. C2×D3×#626C2semidirect
5. #11723717C2semidirect
6. #11723635C2semidirect
7. #11723632C2semidirect
8. C3×#63978C2semidirect
9. #11722960C2semidirect
10. #11722959C2semidirect
11. #11722958C2semidirect
12. #11722956C2semidirect
13. D3×Dic3⋊Dic3C2semidirect
14. D3×#3722C2semidirect
15. D3×(C2×D3)⋊Dic3C2semidirect
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
31. C2×#6291C22semidirect
32. C2×#6291C22semidirect
33. C2×#6290C22semidirect
36. C2×C3×#626C22semidirect
37. C2×C3×#626C22semidirect
38. C2×C3×#625C22semidirect
43. C2×C3×D3×Dic3C22semidirect
44. C2×C3×D3×Dic3C22semidirect
46. #88815C22semidirect
47. #88814C22semidirect
48. #88814C22semidirect
49. #88807C22semidirect
50. Dic3⋊(C3⋊Dic3)C22semidirect
51. #88804C22semidirect
52. #88804C22semidirect
53. #88803C22semidirect
54. (C2×D3)⋊(C3⋊Dic3)C22semidirect
55. C3×Dic3⋊Dic3C22semidirect
56. C3×#3722C22semidirect
57. C3×(C2×D3)⋊Dic3C22semidirect
67. C2×D3×#67D3semidirect
69. C22×D3×Dic3D3semidirect
88. #63978D3direct (N × H)
112. C22×C32×D3D4semidirect
149. C3×D3×Dic3D4semidirect
177. C2×#638C2×D3semidirect
178. C2×#638C2×D3semidirect
180. C22×C3⋊Dic3C2×D3semidirect
194. C2×C3×#67C2×D3semidirect
195. C2×C3×#67C2×D3semidirect
206. C22×C3×Dic3C2×D3semidirect
207. C22×C3×Dic3C2×D3semidirect
234. C2×#626C2×D3semidirect
235. C2×#626C2×D3semidirect
240. C2×#625C2×D3semidirect
248. C2×D3×Dic3C2×D3semidirect
249. C2×D3×Dic3C2×D3semidirect
272. Dic3⋊Dic3C2×D3semidirect
281. #3722C2×D3semidirect
292. (C2×D3)⋊Dic3C2×D3semidirect
295. C22×C33C2×D4semidirect
314. C2×C32×D3C2×D4semidirect
322. C3×C3⋊Dic3C2×D4semidirect
325. C32×Dic3C2×D4semidirect
421. C22×C3×D3D12semidirect
422. C22×C3×D3#67semidirect
549. D3×Dic3#67semidirect
560. C32×D3#121semidirect
626. C2×#67D32semidirect
639. C22×Dic3D32semidirect
733. C22×C32C2×D12semidirect
734. C22×C32D3×D4semidirect
735. C22×C32C2×#67semidirect
810. C2×C3×D3C2×D12semidirect
816. C2×C3×D3C2×#67semidirect
834. C3⋊Dic3C2×#67semidirect
854. C3×Dic3D3×D4semidirect
855. C3×Dic3C2×#67semidirect
871. C33C2×#121semidirect
935. C22×D3#626semidirect
1101. C3×D3#930semidirect
1102. C3×D3#939semidirect
1201. C22×C3D3×D12semidirect
1202. C22×C3C2×#626semidirect
1203. C22×C3D3×#67semidirect
1260. C2×D3C2×#626semidirect
1296. Dic3D3×#67semidirect
1301. C32D3×#121semidirect
1302. C32C2×#930semidirect
1303. C32C2×#939semidirect
1402. D3#63978direct (N × H)
1426. C22D3×#626semidirect
1440. C3D3×#930semidirect
1441. C3D3×#939semidirect
1442. C3C2×#63978semidirect

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
C22×C3×D3×Dic32
C2×D3×#6262
#117237172
#117236352
#117236322
C3×#639782
#117229602
#117229592
#117229582
#117229562
D3×Dic3⋊Dic32
D3×#37222
D3×(C2×D3)⋊Dic32
C2×#639783
D3×#9393
D3×#9303