Finite Group Databasebeta

← C3×#10594286 #13173643

Subgroups — C3×#10594286 #13173643

Order 1728.

1620 conjugacy classes of subgroups.

The subgroup lattice has 1236 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3804C211yesmaximal, characteristic, complemented
2C2×C3×C4×D32C211yesmaximal, characteristic, complemented
3C3×#64092C211yesmaximal, characteristic, complemented
4C32×#884C211yesmaximal, characteristic, complemented
5C32×#67⋊C4C211yesmaximal, characteristic, complemented
6C3×#63983C211yesmaximal, characteristic, complemented
7C3×Dic3×#67C211yesmaximal, characteristic, complemented
8C3×#63970C211yesmaximal, characteristic, complemented
9C3×#63922C211yesmaximal, characteristic, complemented
10C3×#63893C211yesmaximal, characteristic, complemented
11C3×Dic3×D12C211yesmaximal, characteristic, complemented
12C3×#63879C211yesmaximal, characteristic, complemented
13C3×#63853C211yesmaximal, characteristic, complemented
14C3×#63851C211yesmaximal, characteristic, complemented
15C3×#63836C211yesmaximal, characteristic, complemented
16C3×#5606—31nomaximal
17C3×#5547—31nomaximal
18#10594286C311yesmaximal, characteristic, direct product factor
19C22×C3×D32C2211yescharacteristic
20C2×C3×#638C2211yescharacteristic
21C2×C3×C4×C3⋊D3C2211yescharacteristic
22C2×C32×#67C2211yescharacteristic
23C2×C32×#67C2211yescharacteristic
24C2×C32×#67C2211yescharacteristic, complemented
25C22×C32×Dic3C2211yescharacteristic, complemented
26C2×C32×D12C2211yescharacteristic
27C2×C32×C4×D3C2211yescharacteristic
28C2×C32×C4×D3C2211yescharacteristic
29C2×C3×#627C2211yescharacteristic, complemented
30C2×C3×#626C2211yescharacteristic
31C2×C3×#625C2211yescharacteristic
32C2×C3×#624C2211yescharacteristic
33C3×#3804—24no—
34C2×C3×D3×Dic3C2211yescharacteristic
35C2×C3×D3×Dic3C2211yescharacteristic
36C2×C3×D3×Dic3C2211yescharacteristic, complemented
37C3×C4×D32—24no—
38C33×C22⋊C4C2211yescharacteristic, complemented
39C3×#3757C2211yescharacteristic, complemented
40C3×#3752C2211yescharacteristic
41C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
42C3×#3750C2211yescharacteristic, complemented
43C32×(C2×D3)⋊C4C2211yescharacteristic
44C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
45C32×Dic3⋊C4C2211yescharacteristic, complemented
46C32×Dic3⋊C4C2211yescharacteristic, complemented
47C32×C4×Dic3C2211yescharacteristic, complemented
48C3×Dic3⋊Dic3C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic
51C3×(C2×D3)⋊Dic3C2211yescharacteristic
52C3×(C2×D3)⋊Dic3C2211yescharacteristic
53C3×(C2×D3)⋊Dic3C2211yescharacteristic
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C2×C3×#237—31no—
57C2×C3×#235—31no—
58C22×C3×C4×D3—31no—
59C22×C3×C4×D3—31no—
60C2×#3804C2×C311yescharacteristic, complemented
61C2×C4×D32C2×C311yescharacteristic, complemented
62C32×#121—31no—
63C32×C4×D4—31no—
64#64092C2×C311yescharacteristic, complemented
65C3×#939—31no—
66C3×#938—31no—
67C3×#937—31no—
68C3×#937—31no—
69C3×#937—31no—
70C3×D4×Dic3—31no—
71C3×D4×Dic3—31no—
72C3×C4×#67—31no—
73C3×C4×#67—31no—
74C3×#924—31no—
75C3×#897—31no—
76C3×#896—31no—
77C3×#894—31no—
78C3×#892—31no—
79C3×#884—21no—
80C3×#884D311yescharacteristic, complemented
81C3×#884C2×C311yescharacteristic, complemented
82C3×#883—31no—
83C3×#883—31no—
84C3×#883—31no—
85C3×#883—61no—
86C3×#882—31no—
87C3×#67⋊C4—21no—
88C3×#67⋊C4—31no—
89C3×#67⋊C4D311yescharacteristic, complemented
90C3×#67⋊C4C2×C311yescharacteristic, complemented
91C3×#878—31no—
92C3×C4×D12—31no—
93C3×#872—31no—
94#63983C2×C311yescharacteristic, complemented
95Dic3×#67C2×C311yescharacteristic, complemented
96#63970C2×C311yescharacteristic, complemented
97#63922C2×C311yescharacteristic, complemented
98#63893C2×C311yescharacteristic, complemented
99Dic3×D12C2×C311yescharacteristic, complemented
100#63879C2×C311yescharacteristic, complemented
101#63853C2×C311yescharacteristic, complemented
102#63851C2×C311yescharacteristic, complemented
103#63836C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C22×C3×C3⋊D3C2311yescharacteristic
106C22×C32×D3C2311yescharacteristic
107C22×C32×D3C2311yescharacteristic
108C22×C32×D3C2311yescharacteristic
109C2×C3×D32—22no—
110C2×C3×D32—22no—
111C2×C3×D32—22no—
112C2×C33×C4C2311yescharacteristic
113C2×C33×C4C2311yescharacteristic
114C3×#638—22no—
115C2×C3×C3⋊Dic3C2311yescharacteristic
116C2×C3×C3⋊Dic3C2311yescharacteristic
117C2×C3×C3⋊Dic3C2311yescharacteristic
118C3×C4×C3⋊D3—22no—
119C32×#67—22no—
120C32×#67—22no—
121C32×#67—22no—
122C2×C32×Dic3—22no—
123C2×C32×Dic3C2311yescharacteristic
124C2×C32×Dic3C2311yescharacteristic
125C2×C32×Dic3C2311yescharacteristic
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C32×D12—22no—
129C32×C4×D3—22no—
130C32×C4×D3—22no—
131C3×#627—22no—
132C3×#626—22no—
133C3×#625—22no—
134C3×#624D414yescomplemented
135C3×D3×Dic3—22no—
136C3×D3×Dic3—22no—
137C3×D3×Dic3—22no—
138C3×#525—91no—
139#5606—31no—
140#5547—31no—
141C23×C3×D3—31no—
142C23×C3×D3—31no—
143C22×D32C22×C311yescharacteristic
144C2×C32×D4—31no—
145C2×C32×D4—31no—
146C2×C32×D4—31no—
147C2×C32×D4—31no—
148C22×C32×C4—31no—
149C22×C32×C4—31no—
150C22×C32×C4—31no—
151C2×#638C22×C311yescharacteristic
152C2×C4×C3⋊D3C22×C311yescharacteristic
153C2×C3×#67—21no—
154C2×C3×#67—21no—
155C2×C3×#67—21no—
156C2×C3×#67—31no—
157C2×C3×#67—31no—
158C2×C3×#67—31no—
159C2×C3×#67—31no—
160C2×C3×#67—31no—
161C2×C3×#67—61no—
162C2×C3×#67C2×D311yescharacteristic
163C2×C3×#67C2×D311yescharacteristic
164C2×C3×#67C2×D311yescharacteristic, complemented
165C2×C3×#67C22×C311yescharacteristic
166C2×C3×#67C22×C311yescharacteristic
167C2×C3×#67C22×C311yescharacteristic, complemented
168C22×C3×Dic3—21no—
169C22×C3×Dic3—31no—
170C22×C3×Dic3—31no—
171C22×C3×Dic3—31no—
172C22×C3×Dic3C2×D311yescharacteristic, complemented
173C22×C3×Dic3C22×C311yescharacteristic, complemented
174C3×#237—64no—
175C3×#235—64no—
176C2×C3×D12—21no—
177C2×C3×D12—31no—
178C2×C3×D12C2×D311yescharacteristic
179C2×C3×D12C22×C311yescharacteristic
180C2×C3×C4×D3—21no—
181C2×C3×C4×D3—21no—
182C2×C3×C4×D3—31no—
183C2×C3×C4×D3—31no—
184C2×C3×C4×D3—31no—
185C2×C3×C4×D3—31no—
186C2×C3×C4×D3—31no—
187C2×C3×C4×D3—31no—
188C2×C3×C4×D3—31no—
189C2×C3×C4×D3—64no—
190C2×C3×C4×D3—64no—
191C2×C3×C4×D3—61no—
192C2×C3×C4×D3C2×D311yescharacteristic
193C2×C3×C4×D3C2×D311yescharacteristic
194C2×C3×C4×D3C22×C311yescharacteristic
195C2×C3×C4×D3C22×C311yescharacteristic
196C2×C3×Dic6—31no—
197C2×C3×Dic6—31no—
198C2×#627C22×C311yescharacteristic, complemented
199C2×#626C22×C311yescharacteristic
200C2×#625C22×C311yescharacteristic
201C2×#624C22×C311yescharacteristic
202#3804—24no—
203C2×D3×Dic3C22×C311yescharacteristic
204C2×D3×Dic3C22×C311yescharacteristic
205C2×D3×Dic3C22×C311yescharacteristic, complemented
206C4×D32—24no—
207C32×C4⋊C4—31no—
208C32×C4⋊C4—31no—
209C32×C22⋊C4—21no—
210C32×C22⋊C4—21no—
211C32×C22⋊C4—21no—
212C32×C22⋊C4—31no—
213C32×C22⋊C4—31no—
214C32×C22⋊C4—41no—
215C32×C22⋊C4C2×D311yescharacteristic, complemented
216C32×C22⋊C4C2×D311yescharacteristic, complemented
217C32×C22⋊C4C22×C311yescharacteristic, complemented
218C32×C42—31no—
219#3757C22×C311yescharacteristic, complemented
220#3752C22×C311yescharacteristic
221C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
222#3750C22×C311yescharacteristic, complemented
223C3×#217—31no—
224C3×#217—31no—
225C3×#217—31no—
226C3×#217—31no—
227C3×#217—31no—
228C3×#217—31no—
229C3×#217—61no—
230C3×(C2×D3)⋊C4—21no—
231C3×(C2×D3)⋊C4—21no—
232C3×(C2×D3)⋊C4—31no—
233C3×(C2×D3)⋊C4—31no—
234C3×(C2×D3)⋊C4—31no—
235C3×(C2×D3)⋊C4—31no—
236C3×(C2×D3)⋊C4—31no—
237C3×(C2×D3)⋊C4—31no—
238C3×(C2×D3)⋊C4—31no—
239C3×(C2×D3)⋊C4—31no—
240C3×(C2×D3)⋊C4—61no—
241C3×(C2×D3)⋊C4C2×D311yescharacteristic
242C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
243C3×(C2×D3)⋊C4C22×C311yescharacteristic
244C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
245C3×C4⋊Dic3—31no—
246C3×C4⋊Dic3—31no—
247C3×C4⋊Dic3—31no—
248C3×C4⋊Dic3—31no—
249C3×C4⋊Dic3—61no—
250C3×Dic3⋊C4—21no—
251C3×Dic3⋊C4—21no—
252C3×Dic3⋊C4—31no—
253C3×Dic3⋊C4—31no—
254C3×Dic3⋊C4—31no—
255C3×Dic3⋊C4—31no—
256C3×Dic3⋊C4—61no—
257C3×Dic3⋊C4C2×D311yescharacteristic, complemented
258C3×Dic3⋊C4C2×D311yescharacteristic, complemented
259C3×Dic3⋊C4C22×C311yescharacteristic, complemented
260C3×Dic3⋊C4C22×C311yescharacteristic, complemented
261C3×C4×Dic3—21no—
262C3×C4×Dic3—31no—
263C3×C4×Dic3—31no—
264C3×C4×Dic3C2×D311yescharacteristic, complemented
265C3×C4×Dic3C22×C311yescharacteristic, complemented
266Dic3⋊Dic3C22×C311yescharacteristic, complemented
267Dic3⋊Dic3C22×C311yescharacteristic, complemented
268#3722C22×C311yescharacteristic
269(C2×D3)⋊Dic3C22×C311yescharacteristic
270(C2×D3)⋊Dic3C22×C311yescharacteristic
271(C2×D3)⋊Dic3C22×C311yescharacteristic
272(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
273Dic32C22×C311yescharacteristic, complemented
274C22×C33—21no—
275C22×C33—21no—
276C22×C33—21no—
277C22×C33C2411yescharacteristic
278C2×C3×C3⋊D3—21no—
279C2×C3×C3⋊D3—21no—
280C2×C3×C3⋊D3C2×D412yes—
281C2×C32×D3—21no—
282C2×C32×D3—21no—
283C2×C32×D3—21no—
284C2×C32×D3—21no—
285C2×C32×D3—21no—
286C2×C32×D3—21no—
287C2×C32×D3—21no—
288C2×C32×D3#4112yescomplemented
289C2×C32×D3#4112yescomplemented
290C3×D32—28no—
291C33×C4—21no—
292C33×C4—21no—
293C3×C3⋊Dic3—21no—
294C3×C3⋊Dic3—21no—
295C3×C3⋊Dic3—21no—
296C32×Dic3—21no—
297C32×Dic3—21no—
298C32×Dic3—21no—
299C32×Dic3C2×D412yes—
300C32×Dic3C2×D412yes—
301C2×C3×#41—91no—
302C23×C3×C4—91no—
303C2×#237—31no—
304C2×#235—31no—
305C22×C4×D3—31no—
306C22×C4×D3—31no—
307C3×#123—91no—
308C3×#123—91no—
309C3×C22⋊Q8—91no—
310C3×C22⋊Q8—91no—
311C3×#121—31no—
312C3×#121—31no—
313C3×#121—61no—
314C3×#121—91no—
315C3×#120—91no—
316C3×#120—91no—
317C3×C4×D4—31no—
318C3×C4×D4—31no—
319C3×C4×D4—61no—
320C3×C4×D4—91no—
321C3×C4×D4—91no—
322C3×C4×D4—91no—
323C3×#117—91no—
324#939—31no—
325#938—31no—
326#937—31no—
327#937—31no—
328#937—31no—
329D4×Dic3—31no—
330D4×Dic3—31no—
331C4×#67—31no—
332C4×#67—31no—
333#924—31no—
334#897—31no—
335#896—31no—
336#894—31no—
337#892—31no—
338#884C3×D311yescharacteristic, complemented
339#883—31no—
340#883—31no—
341#883—31no—
342#883—61no—
343#882—31no—
344#67⋊C4—31no—
345#67⋊C4C3×D311yescharacteristic, complemented
346#878—31no—
347C4×D12—31no—
348#872—31no—
349C23×C32—21no—
350C23×C32—21no—
351C23×C32—21no—
352C23×C32—31no—
353C23×C32—31no—
354C23×C32—31no—
355C23×C32—41no—
356C23×C32C22×D311yescharacteristic
357C23×C32C22×D311yescharacteristic
358C23×C32C23×C311yescharacteristic
359C22×C3⋊D3C23×C311yescharacteristic
360C22×C3×D3—21no—
361C22×C3×D3—21no—
362C22×C3×D3—21no—
363C22×C3×D3—31no—
364C22×C3×D3—31no—
365C22×C3×D3—61no—
366C22×C3×D3—62no—
367C22×C3×D3—62no—
368C22×C3×D3—62no—
369C22×C3×D3—62no—
370C22×C3×D3—62no—
371C22×C3×D3—62no—
372C22×C3×D3C22×D311yescharacteristic
373C22×C3×D3C22×D311yescharacteristic
374C22×C3×D3C22×D311yescharacteristic
375C22×C3×D3C23×C311yescharacteristic
376C22×C3×D3C23×C311yescharacteristic
377C22×C3×D3C23×C311yescharacteristic
378C2×D32—22no—
379C2×D32—22no—
380C2×D32—22no—
381C32×D4—62no—
382C32×D4—62no—
383C32×D4—62no—
384C32×D4—62no—
385C2×C32×C4—21no—
386C2×C32×C4—21no—
387C2×C32×C4—21no—
388C2×C32×C4—21no—
389C2×C32×C4—21no—
390C2×C32×C4—21no—
391C2×C32×C4—31no—
392C2×C32×C4—31no—
393C2×C32×C4—31no—
394C2×C32×C4—31no—
395C2×C32×C4—31no—
396C2×C32×C4—41no—
397C2×C32×C4—41no—
398C2×C32×C4—62no—
399C2×C32×C4—62no—
400C2×C32×C4—62no—
401C2×C32×C4C22×D311yescharacteristic
402C2×C32×C4C22×D311yescharacteristic
403C2×C32×C4C22×D311yescharacteristic
404C2×C32×C4C22×D311yescharacteristic
405C2×C32×C4C23×C311yescharacteristic
406C2×C32×C4C23×C311yescharacteristic
407#638—22no—
408C2×C3⋊Dic3C23×C311yescharacteristic
409C2×C3⋊Dic3C23×C311yescharacteristic
410C2×C3⋊Dic3C23×C311yescharacteristic
411C4×C3⋊D3—22no—
412C3×#67—24no—
413C3×#67—22no—
414C3×#67—22no—
415C3×#67—22no—
416C3×#67—22no—
417C3×#67—22no—
418C3×#67—22no—
419C3×#67—42no—
420C3×#67—42no—
421C3×#67—62no—
422C3×#67—62no—
423C3×#67—62no—
424C3×#67—62no—
425C3×#67—62no—
426C3×#67—122no—
427C2×C3×Dic3—22no—
428C2×C3×Dic3—22no—
429C2×C3×Dic3—21no—
430C2×C3×Dic3—21no—
431C2×C3×Dic3—21no—
432C2×C3×Dic3—21no—
433C2×C3×Dic3—21no—
434C2×C3×Dic3—31no—
435C2×C3×Dic3—31no—
436C2×C3×Dic3—31no—
437C2×C3×Dic3—31no—
438C2×C3×Dic3—31no—
439C2×C3×Dic3—31no—
440C2×C3×Dic3—42no—
441C2×C3×Dic3—61no—
442C2×C3×Dic3—61no—
443C2×C3×Dic3—61no—
444C2×C3×Dic3—62no—
445C2×C3×Dic3—62no—
446C2×C3×Dic3—62no—
447C2×C3×Dic3C22×D311yescharacteristic
448C2×C3×Dic3C22×D311yescharacteristic
449C2×C3×Dic3C22×D311yescharacteristic
450C2×C3×Dic3C22×D311yescharacteristic
451C2×C3×Dic3C22×D311yescharacteristic
452C2×C3×Dic3C23×C311yescharacteristic
453C2×C3×Dic3C23×C311yescharacteristic
454C2×C3×Dic3C23×C311yescharacteristic
455C2×C3×Dic3C23×C311yescharacteristic
456C2×C3×Dic3C23×C311yescharacteristic
457C3×D12—22no—
458C3×D12—22no—
459C3×D12—42no—
460C3×D12—62no—
461C3×C4×D3—22no—
462C3×C4×D3—22no—
463C3×C4×D3—22no—
464C3×C4×D3—22no—
465C3×C4×D3—34no—
466C3×C4×D3—34no—
467C3×C4×D3—42no—
468C3×C4×D3—42no—
469C3×C4×D3—62no—
470C3×C4×D3—62no—
471C3×C4×D3—62no—
472C3×C4×D3—62no—
473C3×C4×D3—62no—
474C3×C4×D3—122no—
475C3×Dic6—62no—
476C3×Dic6—62no—
477#627—22no—
478#626—22no—
479#625—22no—
480#624C3×D414yescomplemented
481D3×Dic3—22no—
482D3×Dic3—22no—
483D3×Dic3—22no—
484#525—91noSylow
485C2×C33—41no—
486C2×C33C22×D411yescharacteristic
487C2×C33C2×#4111yescharacteristic
488C2×C33C2×#4111yescharacteristic
489C3×C3⋊D3—22no—
490C32×D3—22no—
491C32×D3—22no—
492C32×D3—41no—
493C24×C3—91no—
494C23×D3—31no—
495C23×D3—31no—
496C3×#41—184no—
497C2×C3×Q8—91no—
498C2×C3×D4—31no—
499C2×C3×D4—31no—
500C2×C3×D4—31no—
501C2×C3×D4—31no—
502C2×C3×D4—31no—
503C2×C3×D4—31no—
504C2×C3×D4—31no—
505C2×C3×D4—31no—
506C2×C3×D4—61no—
507C2×C3×D4—61no—
508C2×C3×D4—61no—
509C2×C3×D4—61no—
510C2×C3×D4—91no—
511C2×C3×D4—91no—
512C2×C3×D4—91no—
513C22×C3×C4—31no—
514C22×C3×C4—31no—
515C22×C3×C4—31no—
516C22×C3×C4—31no—
517C22×C3×C4—31no—
518C22×C3×C4—31no—
519C22×C3×C4—61no—
520C22×C3×C4—61no—
521C22×C3×C4—61no—
522C22×C3×C4—91no—
523C22×C3×C4—91no—
524C22×C3×C4—91no—
525C22×C3×C4—91no—
526C22×C3×C4—91no—
527C22×C3×C4—184no—
528C2×#67—31no—
529C2×#67—31no—
530C2×#67—31no—
531C2×#67—31no—
532C2×#67—31no—
533C2×#67—61no—
534C2×#67C2×C3×D311yescharacteristic
535C2×#67C2×C3×D311yescharacteristic
536C2×#67C2×C3×D311yescharacteristic, complemented
537C22×Dic3—31no—
538C22×Dic3—31no—
539C22×Dic3—31no—
540C22×Dic3C2×C3×D311yescharacteristic, complemented
541#237—64no—
542#235—64no—
543C2×D12—31no—
544C2×D12C2×C3×D311yescharacteristic
545C2×C4×D3—31no—
546C2×C4×D3—31no—
547C2×C4×D3—31no—
548C2×C4×D3—31no—
549C2×C4×D3—31no—
550C2×C4×D3—31no—
551C2×C4×D3—31no—
552C2×C4×D3—61no—
553C2×C4×D3—64no—
554C2×C4×D3—64no—
555C2×C4×D3C2×C3×D311yescharacteristic
556C2×C4×D3C2×C3×D311yescharacteristic
557C2×Dic6—31no—
558C2×Dic6—31no—
559C3×C4⋊C4—31no—
560C3×C4⋊C4—31no—
561C3×C4⋊C4—31no—
562C3×C4⋊C4—31no—
563C3×C4⋊C4—61no—
564C3×C4⋊C4—61no—
565C3×C4⋊C4—91no—
566C3×C4⋊C4—91no—
567C3×C4⋊C4—91no—
568C3×C4⋊C4—91no—
569C3×C22⋊C4—21no—
570C3×C22⋊C4—21no—
571C3×C22⋊C4—21no—
572C3×C22⋊C4—31no—
573C3×C22⋊C4—31no—
574C3×C22⋊C4—31no—
575C3×C22⋊C4—31no—
576C3×C22⋊C4—41no—
577C3×C22⋊C4—61no—
578C3×C22⋊C4—61no—
579C3×C22⋊C4—91no—
580C3×C22⋊C4—91no—
581C3×C22⋊C4—91no—
582C3×C22⋊C4—91no—
583C3×C22⋊C4—91no—
584C3×C22⋊C4—91no—
585C3×C22⋊C4—91no—
586C3×C22⋊C4D3211yescharacteristic, complemented
587C3×C22⋊C4C2×C3×D311yescharacteristic, complemented
588C3×C22⋊C4C2×C3×D311yescharacteristic, complemented
589C3×C42—31no—
590C3×C42—31no—
591C3×C42—61no—
592C3×C42—91no—
593#217—31no—
594#217—31no—
595#217—31no—
596#217—31no—
597#217—31no—
598#217—31no—
599#217—61no—
600(C2×D3)⋊C4—31no—
601(C2×D3)⋊C4—31no—
602(C2×D3)⋊C4—31no—
603(C2×D3)⋊C4—31no—
604(C2×D3)⋊C4—31no—
605(C2×D3)⋊C4—31no—
606(C2×D3)⋊C4—31no—
607(C2×D3)⋊C4—31no—
608(C2×D3)⋊C4—61no—
609(C2×D3)⋊C4C2×C3×D311yescharacteristic
610(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
611C4⋊Dic3—31no—
612C4⋊Dic3—31no—
613C4⋊Dic3—31no—
614C4⋊Dic3—31no—
615C4⋊Dic3—61no—
616Dic3⋊C4—31no—
617Dic3⋊C4—31no—
618Dic3⋊C4—31no—
619Dic3⋊C4—31no—
620Dic3⋊C4—61no—
621Dic3⋊C4C2×C3×D311yescharacteristic, complemented
622Dic3⋊C4C2×C3×D311yescharacteristic, complemented
623C4×Dic3—31no—
624C4×Dic3—31no—
625C4×Dic3C2×C3×D311yescharacteristic, complemented
626C22×C32—21no—
627C22×C32—22no—
628C22×C32—21no—
629C22×C32—21no—
630C22×C32—21no—
631C22×C32—21no—
632C22×C32—21no—
633C22×C32—21no—
634C22×C32—21no—
635C22×C32—21no—
636C22×C32—21no—
637C22×C32—21no—
638C22×C32—21no—
639C22×C32—32no—
640C22×C32—32no—
641C22×C32—41no—
642C22×C32—41no—
643C22×C32—41no—
644C22×C32—42no—
645C22×C32—41no—
646C22×C32—41no—
647C22×C32—41no—
648C22×C32—41no—
649C22×C32—41no—
650C22×C32—41no—
651C22×C32—61no—
652C22×C32—61no—
653C22×C32—61no—
654C22×C32—61no—
655C22×C32—61no—
656C22×C32—61no—
657C22×C32—61no—
658C22×C32—81no—
659C22×C32—81no—
660C22×C32C23×D311yescharacteristic
661C22×C32C23×D311yescharacteristic
662C22×C32C24×C311yescharacteristic
663C2×C3⋊D3—21no—
664C2×C3⋊D3—21no—
665C2×C3⋊D3C2×C3×D412yes—
666C2×C3×D3—21no—
667C2×C3×D3—21no—
668C2×C3×D3—21no—
669C2×C3×D3—21no—
670C2×C3×D3—21no—
671C2×C3×D3—21no—
672C2×C3×D3—21no—
673C2×C3×D3—21no—
674C2×C3×D3—21no—
675C2×C3×D3—21no—
676C2×C3×D3—21no—
677C2×C3×D3—21no—
678C2×C3×D3—21no—
679C2×C3×D3—21no—
680C2×C3×D3—22no—
681C2×C3×D3—22no—
682C2×C3×D3—32no—
683C2×C3×D3—32no—
684C2×C3×D3—41no—
685C2×C3×D3—41no—
686C2×C3×D3—41no—
687C2×C3×D3—41no—
688C2×C3×D3—41no—
689C2×C3×D3—41no—
690C2×C3×D3—41no—
691C2×C3×D3—62no—
692C2×C3×D3—68no—
693C2×C3×D3—68no—
694C2×C3×D3—61no—
695C2×C3×D3—61no—
696C2×C3×D3—61no—
697C2×C3×D3—61no—
698C2×C3×D3—121no—
699C2×C3×D3—121no—
700C2×C3×D3#23512yescomplemented
701C2×C3×D3#23712yescomplemented
702C2×C3×D3C3×#4112yescomplemented
703C2×C3×D3C3×#4112yescomplemented
704D32—28no—
705C32×C4—21no—
706C32×C4—21no—
707C32×C4—21no—
708C32×C4—21no—
709C32×C4—21no—
710C32×C4—21no—
711C32×C4—32no—
712C32×C4—32no—
713C32×C4—41no—
714C32×C4—41no—
715C32×C4—41no—
716C32×C4—41no—
717C32×C4—41no—
718C32×C4—41no—
719C32×C4—61no—
720C32×C4—61no—
721C32×C4—61no—
722C32×C4—81no—
723C32×C4—81no—
724C3⋊Dic3—21no—
725C3⋊Dic3—21no—
726C3⋊Dic3—21no—
727C3×Dic3—22no—
728C3×Dic3—21no—
729C3×Dic3—21no—
730C3×Dic3—21no—
731C3×Dic3—21no—
732C3×Dic3—21no—
733C3×Dic3—21no—
734C3×Dic3—22no—
735C3×Dic3—22no—
736C3×Dic3—41no—
737C3×Dic3—41no—
738C3×Dic3—61no—
739C3×Dic3—61no—
740C3×Dic3—61no—
741C3×Dic3—61no—
742C3×Dic3—61no—
743C3×Dic3—61no—
744C3×Dic3—121no—
745C3×Dic3—121no—
746C3×Dic3—121no—
747C3×Dic3D3×D412yes—
748C3×Dic3D3×D412yes—
749C3×Dic3C2×C3×D412yes—
750C3×Dic3C2×C3×D412yes—
751C2×#41—91no—
752C23×C4—91no—
753#123—91no—
754#123—91no—
755C22⋊Q8—91no—
756C22⋊Q8—91no—
757#121—31no—
758#121—91no—
759#120—91no—
760#120—91no—
761C4×D4—31no—
762C4×D4—91no—
763C4×D4—91no—
764C4×D4—91no—
765#117—91no—
766C33#52511yescharacteristic, complemented, Sylow
767C23×C3—21no—
768C23×C3—21no—
769C23×C3—21no—
770C23×C3—31no—
771C23×C3—31no—
772C23×C3—31no—
773C23×C3—31no—
774C23×C3—31no—
775C23×C3—31no—
776C23×C3—41no—
777C23×C3—61no—
778C23×C3—61no—
779C23×C3—61no—
780C23×C3—91no—
781C23×C3—182no—
782C23×C3—182no—
783C23×C3—182no—
784C23×C3C2×D3211yescharacteristic
785C23×C3C22×C3×D311yescharacteristic
786C23×C3C22×C3×D311yescharacteristic
787C22×D3—31no—
788C22×D3—31no—
789C22×D3—61no—
790C22×D3—62no—
791C22×D3—62no—
792C22×D3—62no—
793C22×D3—62no—
794C22×D3—62no—
795C22×D3—62no—
796C22×D3C22×C3×D311yescharacteristic
797C22×D3C22×C3×D311yescharacteristic
798C22×D3C22×C3×D311yescharacteristic
799C3×Q8—182no—
800C3×D4—62no—
801C3×D4—62no—
802C3×D4—62no—
803C3×D4—62no—
804C3×D4—62no—
805C3×D4—62no—
806C3×D4—62no—
807C3×D4—62no—
808C3×D4—64no—
809C3×D4—122no—
810C3×D4—122no—
811C3×D4—122no—
812C3×D4—182no—
813C3×D4—182no—
814C3×D4—182no—
815C2×C3×C4—21no—
816C2×C3×C4—21no—
817C2×C3×C4—21no—
818C2×C3×C4—21no—
819C2×C3×C4—21no—
820C2×C3×C4—21no—
821C2×C3×C4—31no—
822C2×C3×C4—31no—
823C2×C3×C4—31no—
824C2×C3×C4—31no—
825C2×C3×C4—31no—
826C2×C3×C4—31no—
827C2×C3×C4—31no—
828C2×C3×C4—31no—
829C2×C3×C4—31no—
830C2×C3×C4—31no—
831C2×C3×C4—41no—
832C2×C3×C4—41no—
833C2×C3×C4—61no—
834C2×C3×C4—61no—
835C2×C3×C4—61no—
836C2×C3×C4—61no—
837C2×C3×C4—61no—
838C2×C3×C4—62no—
839C2×C3×C4—62no—
840C2×C3×C4—62no—
841C2×C3×C4—62no—
842C2×C3×C4—62no—
843C2×C3×C4—62no—
844C2×C3×C4—94no—
845C2×C3×C4—91no—
846C2×C3×C4—91no—
847C2×C3×C4—91no—
848C2×C3×C4—122no—
849C2×C3×C4—122no—
850C2×C3×C4—122no—
851C2×C3×C4—182no—
852C2×C3×C4—182no—
853C2×C3×C4—182no—
854C2×C3×C4—182no—
855C2×C3×C4C2×D3211yescharacteristic
856C2×C3×C4C2×D3211yescharacteristic
857C2×C3×C4C22×C3×D311yescharacteristic
858C2×C3×C4C22×C3×D311yescharacteristic
859C2×C3×C4C22×C3×D311yescharacteristic
860C2×C3×C4C22×C3×D311yescharacteristic
861#67—22no—
862#67—22no—
863#67—22no—
864#67—62no—
865#67—62no—
866#67—62no—
867#67—62no—
868#67—62no—
869#67—122no—
870C2×Dic3—22no—
871C2×Dic3—31no—
872C2×Dic3—31no—
873C2×Dic3—31no—
874C2×Dic3—31no—
875C2×Dic3—31no—
876C2×Dic3—31no—
877C2×Dic3—61no—
878C2×Dic3—61no—
879C2×Dic3—61no—
880C2×Dic3—62no—
881C2×Dic3—62no—
882C2×Dic3—62no—
883C2×Dic3C22×C3×D311yescharacteristic
884C2×Dic3C22×C3×D311yescharacteristic
885C2×Dic3C22×C3×D311yescharacteristic
886C2×Dic3C22×C3×D311yescharacteristic
887C2×Dic3C22×C3×D311yescharacteristic
888D12—22no—
889D12—62no—
890C4×D3—22no—
891C4×D3—22no—
892C4×D3—34no—
893C4×D3—34no—
894C4×D3—62no—
895C4×D3—62no—
896C4×D3—62no—
897C4×D3—62no—
898C4×D3—62no—
899C4×D3—122no—
900Dic6—62no—
901Dic6—62no—
902C2×C32—21no—
903C2×C32—21no—
904C2×C32—21no—
905C2×C32—21no—
906C2×C32—21no—
907C2×C32—21no—
908C2×C32—21no—
909C2×C32—21no—
910C2×C32—21no—
911C2×C32—41no—
912C2×C32—41no—
913C2×C32—41no—
914C2×C32—41no—
915C2×C32—42no—
916C2×C32—41no—
917C2×C32—41no—
918C2×C32—62no—
919C2×C32—62no—
920C2×C32—81no—
921C2×C32—81no—
922C2×C32—82no—
923C2×C32—121no—
924C2×C32C2×#23511yescharacteristic
925C2×C32C2×D3×D411yescharacteristic
926C2×C32C2×D3×D411yescharacteristic
927C2×C32C2×#23711yescharacteristic
928C2×C32D3×#4111yescharacteristic
929C2×C32D3×#4111yescharacteristic
930C2×C32C22×C3×D411yescharacteristic
931C2×C32C2×C3×#4111yescharacteristic
932C2×C32C2×C3×#4111yescharacteristic
933C3⋊D3—22no—
934C3×D3—22no—
935C3×D3—22no—
936C3×D3—22no—
937C3×D3—22no—
938C3×D3—42no—
939C3×D3—42no—
940C3×D3—41no—
941C3×D3—41no—
942C3×D3—62no—
943C3×D3—62no—
944C3×D3—81no—
945C3×D3—122no—
946C24—91no—
947#41—184no—
948C2×Q8—91no—
949C2×D4—31no—
950C2×D4—31no—
951C2×D4—31no—
952C2×D4—31no—
953C2×D4—91no—
954C2×D4—91no—
955C2×D4—91no—
956C22×C4—31no—
957C22×C4—31no—
958C22×C4—31no—
959C22×C4—91no—
960C22×C4—91no—
961C22×C4—91no—
962C22×C4—91no—
963C22×C4—91no—
964C22×C4—184no—
965C4⋊C4—31no—
966C4⋊C4—31no—
967C4⋊C4—91no—
968C4⋊C4—91no—
969C4⋊C4—91no—
970C4⋊C4—91no—
971C22⋊C4—31no—
972C22⋊C4—31no—
973C22⋊C4—91no—
974C22⋊C4—91no—
975C22⋊C4—91no—
976C22⋊C4—91no—
977C22⋊C4—91no—
978C22⋊C4—91no—
979C22⋊C4—91no—
980C22⋊C4C3×D3211yescharacteristic, complemented
981C42—31no—
982C42—91no—
983C22×C3—22no—
984C22×C3—21no—
985C22×C3—21no—
986C22×C3—21no—
987C22×C3—21no—
988C22×C3—21no—
989C22×C3—21no—
990C22×C3—21no—
991C22×C3—21no—
992C22×C3—21no—
993C22×C3—21no—
994C22×C3—21no—
995C22×C3—21no—
996C22×C3—32no—
997C22×C3—32no—
998C22×C3—32no—
999C22×C3—32no—
1000C22×C3—41no—
1001C22×C3—41no—
1002C22×C3—41no—
1003C22×C3—41no—
1004C22×C3—41no—
1005C22×C3—41no—
1006C22×C3—41no—
1007C22×C3—41no—
1008C22×C3—42no—
1009C22×C3—41no—
1010C22×C3—62no—
1011C22×C3—62no—
1012C22×C3—61no—
1013C22×C3—61no—
1014C22×C3—61no—
1015C22×C3—61no—
1016C22×C3—61no—
1017C22×C3—61no—
1018C22×C3—61no—
1019C22×C3—61no—
1020C22×C3—61no—
1021C22×C3—61no—
1022C22×C3—61no—
1023C22×C3—61no—
1024C22×C3—61no—
1025C22×C3—61no—
1026C22×C3—81no—
1027C22×C3—81no—
1028C22×C3—92no—
1029C22×C3—121no—
1030C22×C3—121no—
1031C22×C3—121no—
1032C22×C3—121no—
1033C22×C3—121no—
1034C22×C3—121no—
1035C22×C3—121no—
1036C22×C3—188no—
1037C22×C3—181no—
1038C22×C3—181no—
1039C22×C3C22×D3211yescharacteristic
1040C22×C3C23×C3×D311yescharacteristic
1041C22×C3C23×C3×D311yescharacteristic
1042C2×D3—21no—
1043C2×D3—21no—
1044C2×D3—21no—
1045C2×D3—21no—
1046C2×D3—21no—
1047C2×D3—21no—
1048C2×D3—21no—
1049C2×D3—32no—
1050C2×D3—32no—
1051C2×D3—62no—
1052C2×D3—68no—
1053C2×D3—68no—
1054C2×D3—61no—
1055C2×D3—61no—
1056C2×D3—61no—
1057C2×D3—61no—
1058C2×D3—121no—
1059C2×D3—121no—
1060C2×D3C3×#23512yescomplemented
1061C2×D3C3×#23712yescomplemented
1062C3×C4—21no—
1063C3×C4—21no—
1064C3×C4—21no—
1065C3×C4—21no—
1066C3×C4—21no—
1067C3×C4—21no—
1068C3×C4—32no—
1069C3×C4—32no—
1070C3×C4—32no—
1071C3×C4—32no—
1072C3×C4—41no—
1073C3×C4—41no—
1074C3×C4—41no—
1075C3×C4—41no—
1076C3×C4—41no—
1077C3×C4—41no—
1078C3×C4—62no—
1079C3×C4—62no—
1080C3×C4—62no—
1081C3×C4—61no—
1082C3×C4—61no—
1083C3×C4—61no—
1084C3×C4—61no—
1085C3×C4—61no—
1086C3×C4—61no—
1087C3×C4—81no—
1088C3×C4—81no—
1089C3×C4—121no—
1090C3×C4—121no—
1091C3×C4—181no—
1092C3×C4—181no—
1093C3×C4—181no—
1094Dic3—21no—
1095Dic3—21no—
1096Dic3—21no—
1097Dic3—61no—
1098Dic3—61no—
1099Dic3—61no—
1100Dic3—61no—
1101Dic3—61no—
1102Dic3—61no—
1103Dic3—121no—
1104Dic3—121no—
1105Dic3—121no—
1106Dic3C3×D3×D412yes—
1107Dic3C3×D3×D412yes—
1108C32—21no—
1109C32—21no—
1110C32—21no—
1111C32—41no—
1112C32#554711yescharacteristic, complemented
1113C32#560611yescharacteristic, complemented
1114C32C3×#52511yescharacteristic, complemented
1115C23—31no—
1116C23—31no—
1117C23—31no—
1118C23—91no—
1119C23—182no—
1120C23—182no—
1121C23—182no—
1122C23C2×C3×D3211yescharacteristic
1123Q8—182no—
1124D4—62no—
1125D4—62no—
1126D4—62no—
1127D4—62no—
1128D4—182no—
1129D4—182no—
1130D4—182no—
1131C2×C4—31no—
1132C2×C4—31no—
1133C2×C4—31no—
1134C2×C4—31no—
1135C2×C4—31no—
1136C2×C4—62no—
1137C2×C4—62no—
1138C2×C4—62no—
1139C2×C4—94no—
1140C2×C4—91no—
1141C2×C4—91no—
1142C2×C4—91no—
1143C2×C4—182no—
1144C2×C4—182no—
1145C2×C4—182no—
1146C2×C4—182no—
1147C2×C4C2×C3×D3211yescharacteristic
1148C2×C4C2×C3×D3211yescharacteristic
1149C2×C3—21no—
1150C2×C3—21no—
1151C2×C3—21no—
1152C2×C3—21no—
1153C2×C3—21no—
1154C2×C3—21no—
1155C2×C3—21no—
1156C2×C3—21no—
1157C2×C3—21no—
1158C2×C3—42no—
1159C2×C3—41no—
1160C2×C3—41no—
1161C2×C3—41no—
1162C2×C3—41no—
1163C2×C3—41no—
1164C2×C3—41no—
1165C2×C3—62no—
1166C2×C3—62no—
1167C2×C3—62no—
1168C2×C3—62no—
1169C2×C3—81no—
1170C2×C3—81no—
1171C2×C3—82no—
1172C2×C3—122no—
1173C2×C3—122no—
1174C2×C3—121no—
1175C2×C3—121no—
1176C2×C3—182no—
1177C2×C3—241no—
1178C2×C3D3×#23511yescharacteristic
1179C2×C3D32×D411yescharacteristic
1180C2×C3D3×#23711yescharacteristic
1181C2×C3C2×C3×#23511yescharacteristic
1182C2×C3C2×C3×D3×D411yescharacteristic
1183C2×C3C2×C3×D3×D411yescharacteristic
1184C2×C3C2×C3×#23711yescharacteristic
1185C2×C3C3×D3×#4111yescharacteristic
1186C2×C3C3×D3×#4111yescharacteristic
1187D3—22no—
1188D3—22no—
1189D3—41no—
1190D3—62no—
1191D3—62no—
1192D3—122no—
1193C22—21no—
1194C22—21no—
1195C22—21no—
1196C22—32no—
1197C22—32no—
1198C22—61no—
1199C22—61no—
1200C22—61no—
1201C22—61no—
1202C22—61no—
1203C22—61no—
1204C22—61no—
1205C22—92no—
1206C22—188no—
1207C22—181no—
1208C22—181no—
1209C22C22×C3×D3211yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—32no—
1213C4—32no—
1214C4—61no—
1215C4—61no—
1216C4—61no—
1217C4—181no—
1218C4—181no—
1219C4—181no—
1220C3—21no—
1221C3—21no—
1222C3—21no—
1223C3—41no—
1224C3#1059428611yescharacteristic, direct product factor
1225C3C3×#554711yescharacteristic, complemented
1226C3C3×#560611yescharacteristic, complemented
1227C2—41no—
1228C2—62no—
1229C2—62no—
1230C2—121no—
1231C2—182no—
1232C2C3×D3×#23511yescharacteristic
1233C2C3×D32×D411yescharacteristic
1234C2C3×D3×#23711yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC33×C22⋊C4C22
socleC22×C33C24
hypercenterC3×C22⋊C4D32
hypocenterC32C3×#525
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C3×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3804C2semidirect
2. C2×C3×C4×D32C2semidirect
3. C3×#64092C2semidirect
4. C32×#884C2semidirect
5. C32×#67⋊C4C2semidirect
6. C3×#63983C2semidirect
7. C3×Dic3×#67C2semidirect
8. C3×#63970C2semidirect
9. C3×#63922C2semidirect
10. C3×#63893C2semidirect
11. C3×Dic3×D12C2semidirect
12. C3×#63879C2semidirect
13. C3×#63853C2semidirect
14. C3×#63851C2semidirect
15. C3×#63836C2semidirect
18. #10594286C3direct (N × H)
24. C2×C32×#67C22semidirect
25. C22×C32×Dic3C22semidirect
29. C2×C3×#627C22semidirect
36. C2×C3×D3×Dic3C22semidirect
38. C33×C22⋊C4C22semidirect
39. C3×#3757C22semidirect
41. C3×C4⋊(C3⋊Dic3)C22semidirect
42. C3×#3750C22semidirect
44. C32×(C2×D3)⋊C4C22semidirect
45. C32×Dic3⋊C4C22semidirect
46. C32×Dic3⋊C4C22semidirect
47. C32×C4×Dic3C22semidirect
48. C3×Dic3⋊Dic3C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C2×#3804C2×C3semidirect
61. C2×C4×D32C2×C3semidirect
64. #64092C2×C3semidirect
80. C3×#884D3semidirect
81. C3×#884C2×C3semidirect
89. C3×#67⋊C4D3semidirect
90. C3×#67⋊C4C2×C3semidirect
94. #63983C2×C3semidirect
95. Dic3×#67C2×C3semidirect
96. #63970C2×C3semidirect
97. #63922C2×C3semidirect
98. #63893C2×C3semidirect
99. Dic3×D12C2×C3semidirect
100. #63879C2×C3semidirect
101. #63853C2×C3semidirect
102. #63851C2×C3semidirect
103. #63836C2×C3semidirect
134. C3×#624D4semidirect
164. C2×C3×#67C2×D3semidirect
167. C2×C3×#67C22×C3semidirect
172. C22×C3×Dic3C2×D3semidirect
173. C22×C3×Dic3C22×C3semidirect
198. C2×#627C22×C3semidirect
205. C2×D3×Dic3C22×C3semidirect
215. C32×C22⋊C4C2×D3semidirect
216. C32×C22⋊C4C2×D3semidirect
217. C32×C22⋊C4C22×C3semidirect
219. #3757C22×C3semidirect
221. C4⋊(C3⋊Dic3)C22×C3semidirect
222. #3750C22×C3semidirect
242. C3×(C2×D3)⋊C4C2×D3semidirect
244. C3×(C2×D3)⋊C4C22×C3semidirect
257. C3×Dic3⋊C4C2×D3semidirect
258. C3×Dic3⋊C4C2×D3semidirect
259. C3×Dic3⋊C4C22×C3semidirect
260. C3×Dic3⋊C4C22×C3semidirect
264. C3×C4×Dic3C2×D3semidirect
265. C3×C4×Dic3C22×C3semidirect
266. Dic3⋊Dic3C22×C3semidirect
267. Dic3⋊Dic3C22×C3semidirect
272. (C2×D3)⋊Dic3C22×C3semidirect
273. Dic32C22×C3semidirect
288. C2×C32×D3#41semidirect
289. C2×C32×D3#41semidirect
338. #884C3×D3semidirect
345. #67⋊C4C3×D3semidirect
480. #624C3×D4semidirect
536. C2×#67C2×C3×D3semidirect
540. C22×Dic3C2×C3×D3semidirect
586. C3×C22⋊C4D32semidirect
587. C3×C22⋊C4C2×C3×D3semidirect
588. C3×C22⋊C4C2×C3×D3semidirect
610. (C2×D3)⋊C4C2×C3×D3semidirect
621. Dic3⋊C4C2×C3×D3semidirect
622. Dic3⋊C4C2×C3×D3semidirect
625. C4×Dic3C2×C3×D3semidirect
700. C2×C3×D3#235semidirect
701. C2×C3×D3#237semidirect
702. C2×C3×D3C3×#41semidirect
703. C2×C3×D3C3×#41semidirect
766. C33#525semidirect
980. C22⋊C4C3×D32semidirect
1060. C2×D3C3×#235semidirect
1061. C2×D3C3×#237semidirect
1112. C32#5547semidirect
1113. C32#5606semidirect
1114. C32C3×#525semidirect
1224. C3#10594286direct (N × H)
1225. C3C3×#5547semidirect
1226. C3C3×#5606semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38042
C2×C3×C4×D322
C3×#640922
C32×#8842
C32×#67⋊C42
C3×#639832
C3×Dic3×#672
C3×#639702
C3×#639222
C3×#638932
C3×Dic3×D122
C3×#638792
C3×#638532
C3×#638512
C3×#638362
C3×#56063
C3×#55473
#105942863