Finite Group Databasebeta

← C3×#10595060 #13174657

Subgroups — C3×#10595060 #13174657

Order 1728.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#235C211yesmaximal, characteristic, complemented
2C2×C3×C4×D32C211yesmaximal, characteristic, complemented
3C3×C4×#638C211yesmaximal, characteristic, complemented
4C32×C4×#67C211yesmaximal, characteristic, complemented
5C3×#63983C211yesmaximal, characteristic, complemented
6C3×#63970C211yesmaximal, characteristic, complemented
7C3×#63969C211yesmaximal, characteristic, complemented
8C3×#63958C211yesmaximal, characteristic, complemented
9C3×#63922C211yesmaximal, characteristic, complemented
10C3×C4×#626C211yesmaximal, characteristic, complemented
11C3×C4×#625C211yesmaximal, characteristic, complemented
12C3×#63888C211yesmaximal, characteristic, complemented
13C3×#63887C211yesmaximal, characteristic, complemented
14C3×#63884C211yesmaximal, characteristic, complemented
15C3×#63855C211yesmaximal, characteristic, complemented
16C3×#5828—31nomaximal
17C3×#5547—31nomaximal
18#10595060C311yesmaximal, characteristic, direct product factor
19C22×C3×D32C2211yescharacteristic
20C22×C33×C4C2211yescharacteristic, complemented
21C2×C3×#638C2211yescharacteristic
22C2×C3×C4×C3⋊D3C2211yescharacteristic
23C2×C32×#67C2211yescharacteristic
24C2×C32×#67C2211yescharacteristic
25C2×C32×#67C2211yescharacteristic, complemented
26C32×#235—24no—
27C2×C32×D12C2211yescharacteristic
28C2×C32×C4×D3C2211yescharacteristic
29C2×C32×C4×D3C2211yescharacteristic
30C2×C32×C4×D3C2211yescharacteristic, complemented
31C2×C32×Dic6C2211yescharacteristic, complemented
32C2×C3×#626C2211yescharacteristic
33C2×C3×#625C2211yescharacteristic
34C2×C3×#624C2211yescharacteristic
35C2×C3×D3×Dic3C2211yescharacteristic
36C2×C3×D3×Dic3C2211yescharacteristic
37C3×C4×D32—24no—
38C3×#3757C2211yescharacteristic, complemented
39C3×#3752C2211yescharacteristic
40C3×#3750C2211yescharacteristic, complemented
41C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
42C32×#217C2211yescharacteristic, complemented
43C32×(C2×D3)⋊C4C2211yescharacteristic
44C32×Dic3⋊C4C2211yescharacteristic, complemented
45C32×C4×Dic3C2211yescharacteristic, complemented
46C3×#3724C2211yescharacteristic, complemented
47C3×Dic3⋊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×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C2×C32×#41—31no—
57C2×C3×#235—21no—
58C2×C3×#235D311yescharacteristic, complemented
59C2×C3×#235C2×C311yescharacteristic, complemented
60C22×C3×C4×D3—31no—
61C22×C3×C4×D3—31no—
62C2×C4×D32C2×C311yescharacteristic, complemented
63C32×C4×D4—31no—
64C4×#638C2×C311yescharacteristic, complemented
65C3×#946—31no—
66C3×#946—31no—
67C3×#939—31no—
68C3×#938—31no—
69C3×#938—31no—
70C3×#937—31no—
71C3×#937—31no—
72C3×#937—31no—
73C3×#935—31no—
74C3×#935—31no—
75C3×C4×#67—21no—
76C3×C4×#67—31no—
77C3×C4×#67—31no—
78C3×C4×#67—31no—
79C3×C4×#67—31no—
80C3×C4×#67—31no—
81C3×C4×#67—61no—
82C3×C4×#67D311yescharacteristic, complemented
83C3×C4×#67C2×C311yescharacteristic, complemented
84C3×#926—31no—
85C3×#896—31no—
86C3×#894—31no—
87C3×#884—31no—
88C3×#883—31no—
89C3×#882—31no—
90C3×#878—31no—
91C3×C4×D12—31no—
92C3×#872—31no—
93#63983C2×C311yescharacteristic, complemented
94#63970C2×C311yescharacteristic, complemented
95#63969C2×C311yescharacteristic, complemented
96#63958C2×C311yescharacteristic, complemented
97#63922C2×C311yescharacteristic, complemented
98C4×#626C2×C311yescharacteristic, complemented
99C4×#625C2×C311yescharacteristic, complemented
100#63888C2×C311yescharacteristic, complemented
101#63887C2×C311yescharacteristic, complemented
102#63884C2×C311yescharacteristic, complemented
103#63855C2×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×C4—22no—
113C2×C33×C4C2311yescharacteristic
114C2×C33×C4C2311yescharacteristic
115C3×#638—22no—
116C2×C3×C3⋊Dic3C2311yescharacteristic
117C2×C3×C3⋊Dic3C2311yescharacteristic
118C2×C3×C3⋊Dic3C2311yescharacteristic
119C3×C4×C3⋊D3—22no—
120C32×#67—22no—
121C32×#67—22no—
122C32×#67—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—
131C32×C4×D3D414yescomplemented
132C32×Dic6—22no—
133C3×#626—22no—
134C3×#625—22no—
135C3×#624—22no—
136C3×D3×Dic3—22no—
137C3×D3×Dic3—22no—
138C3×#525—91no—
139#5828—31no—
140#5547—31no—
141C23×C3×D3—31no—
142C23×C3×D3—31no—
143C22×D32C22×C311yescharacteristic
144C32×#41—64no—
145C2×C32×Q8—31no—
146C2×C32×D4—31no—
147C2×C32×D4—31no—
148C2×C32×D4—31no—
149C2×C32×D4—31no—
150C22×C32×C4—21no—
151C22×C32×C4—21no—
152C22×C32×C4—21no—
153C22×C32×C4—31no—
154C22×C32×C4—31no—
155C22×C32×C4—31no—
156C22×C32×C4—41no—
157C22×C32×C4C2×D311yescharacteristic, complemented
158C22×C32×C4C2×D311yescharacteristic, complemented
159C22×C32×C4C22×C311yescharacteristic, complemented
160C2×#638C22×C311yescharacteristic
161C2×C4×C3⋊D3C22×C311yescharacteristic
162C2×C3×#67—21no—
163C2×C3×#67—21no—
164C2×C3×#67—21no—
165C2×C3×#67—31no—
166C2×C3×#67—31no—
167C2×C3×#67—31no—
168C2×C3×#67—31no—
169C2×C3×#67—31no—
170C2×C3×#67—61no—
171C2×C3×#67C2×D311yescharacteristic
172C2×C3×#67C2×D311yescharacteristic
173C2×C3×#67C2×D311yescharacteristic, complemented
174C2×C3×#67C22×C311yescharacteristic
175C2×C3×#67C22×C311yescharacteristic
176C2×C3×#67C22×C311yescharacteristic, complemented
177C22×C3×Dic3—31no—
178C22×C3×Dic3—31no—
179C3×#235—28no—
180C3×#235—24no—
181C3×#235—24no—
182C2×C3×D12—21no—
183C2×C3×D12—31no—
184C2×C3×D12C2×D311yescharacteristic
185C2×C3×D12C22×C311yescharacteristic
186C2×C3×C4×D3—21no—
187C2×C3×C4×D3—21no—
188C2×C3×C4×D3—21no—
189C2×C3×C4×D3—31no—
190C2×C3×C4×D3—31no—
191C2×C3×C4×D3—31no—
192C2×C3×C4×D3—31no—
193C2×C3×C4×D3—31no—
194C2×C3×C4×D3—31no—
195C2×C3×C4×D3—64no—
196C2×C3×C4×D3—64no—
197C2×C3×C4×D3—61no—
198C2×C3×C4×D3C2×D311yescharacteristic
199C2×C3×C4×D3C2×D311yescharacteristic
200C2×C3×C4×D3C2×D311yescharacteristic, complemented
201C2×C3×C4×D3C22×C311yescharacteristic
202C2×C3×C4×D3C22×C311yescharacteristic
203C2×C3×C4×D3C22×C311yescharacteristic, complemented
204C2×C3×Dic6—21no—
205C2×C3×Dic6C2×D311yescharacteristic, complemented
206C2×C3×Dic6C22×C311yescharacteristic, complemented
207C2×#626C22×C311yescharacteristic
208C2×#625C22×C311yescharacteristic
209C2×#624C22×C311yescharacteristic
210C2×D3×Dic3C22×C311yescharacteristic
211C2×D3×Dic3C22×C311yescharacteristic
212C4×D32—24no—
213C32×C4⋊C4—31no—
214C32×C22⋊C4—31no—
215C32×C22⋊C4—31no—
216C32×C42—31no—
217#3757C22×C311yescharacteristic, complemented
218#3752C22×C311yescharacteristic
219#3750C22×C311yescharacteristic, complemented
220C4×C3⋊Dic3C22×C311yescharacteristic, complemented
221C3×#217—21no—
222C3×#217—31no—
223C3×#217—31no—
224C3×#217—31no—
225C3×#217—31no—
226C3×#217—31no—
227C3×#217—31no—
228C3×#217—31no—
229C3×#217—61no—
230C3×#217C2×D311yescharacteristic, complemented
231C3×#217C22×C311yescharacteristic, complemented
232C3×(C2×D3)⋊C4—21no—
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—31no—
241C3×(C2×D3)⋊C4—31no—
242C3×(C2×D3)⋊C4—61no—
243C3×(C2×D3)⋊C4C2×D311yescharacteristic
244C3×(C2×D3)⋊C4C22×C311yescharacteristic
245C3×C4⋊Dic3—31no—
246C3×C4⋊Dic3—31no—
247C3×C4⋊Dic3—31no—
248C3×Dic3⋊C4—21no—
249C3×Dic3⋊C4—31no—
250C3×Dic3⋊C4—31no—
251C3×Dic3⋊C4—31no—
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⋊C4C22×C311yescharacteristic, complemented
259C3×C4×Dic3—21no—
260C3×C4×Dic3—31no—
261C3×C4×Dic3—31no—
262C3×C4×Dic3—61no—
263C3×C4×Dic3C2×D311yescharacteristic, complemented
264C3×C4×Dic3C22×C311yescharacteristic, complemented
265#3724C22×C311yescharacteristic, complemented
266Dic3⋊Dic3C22×C311yescharacteristic, complemented
267Dic3⋊Dic3C22×C311yescharacteristic, complemented
268Dic3⋊Dic3C22×C311yescharacteristic, complemented
269#3722C22×C311yescharacteristic
270(C2×D3)⋊Dic3C22×C311yescharacteristic
271(C2×D3)⋊Dic3C22×C311yescharacteristic
272(C2×D3)⋊Dic3C22×C311yescharacteristic
273(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
274(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
275C22×C33—21no—
276C22×C33—21no—
277C22×C33—21no—
278C22×C33C2411yescharacteristic
279C2×C3×C3⋊D3—21no—
280C2×C3×C3⋊D3—21no—
281C2×C3×C3⋊D3#4112yescomplemented
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—21no—
289C2×C32×D3C2×D412yes—
290C2×C32×D3#4112yescomplemented
291C3×D32—28no—
292C33×C4—21no—
293C33×C4C2×D412yes—
294C3×C3⋊Dic3—21no—
295C3×C3⋊Dic3—21no—
296C3×C3⋊Dic3—21no—
297C32×Dic3—21no—
298C32×Dic3—21no—
299C32×Dic3—21no—
300C32×Dic3—21no—
301C32×Dic3C2×D412yes—
302C2×C3×#41—31no—
303C2×C3×#41—31no—
304C2×C3×#41—61no—
305C23×C3×C4—91no—
306C2×#235C3×D311yescharacteristic, complemented
307C22×C4×D3—31no—
308C22×C4×D3—31no—
309C3×#123—91no—
310C3×#123—91no—
311C3×C22⋊Q8—91no—
312C3×C22⋊Q8—91no—
313C3×#121—91no—
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#946—31no—
325#946—31no—
326#939—31no—
327#938—31no—
328#938—31no—
329#937—31no—
330#937—31no—
331#937—31no—
332#935—31no—
333#935—31no—
334C4×#67—31no—
335C4×#67—31no—
336C4×#67—31no—
337C4×#67—31no—
338C4×#67—31no—
339C4×#67—61no—
340C4×#67C3×D311yescharacteristic, complemented
341#926—31no—
342#896—31no—
343#894—31no—
344#884—31no—
345#883—31no—
346#882—31no—
347#878—31no—
348C4×D12—31no—
349#872—31no—
350C23×C32—21no—
351C23×C32—21no—
352C23×C32—21no—
353C23×C32—31no—
354C23×C32—31no—
355C23×C32—31no—
356C23×C32—41no—
357C23×C32C22×D311yescharacteristic
358C23×C32C22×D311yescharacteristic
359C23×C32C23×C311yescharacteristic
360C22×C3⋊D3C23×C311yescharacteristic
361C22×C3×D3—21no—
362C22×C3×D3—21no—
363C22×C3×D3—21no—
364C22×C3×D3—31no—
365C22×C3×D3—31no—
366C22×C3×D3—61no—
367C22×C3×D3—62no—
368C22×C3×D3—62no—
369C22×C3×D3—62no—
370C22×C3×D3—62no—
371C22×C3×D3—62no—
372C22×C3×D3—62no—
373C22×C3×D3C22×D311yescharacteristic
374C22×C3×D3C22×D311yescharacteristic
375C22×C3×D3C22×D311yescharacteristic
376C22×C3×D3C23×C311yescharacteristic
377C22×C3×D3C23×C311yescharacteristic
378C22×C3×D3C23×C311yescharacteristic
379C2×D32—22no—
380C2×D32—22no—
381C2×D32—22no—
382C32×Q8—62no—
383C32×D4—62no—
384C32×D4—62no—
385C32×D4—62no—
386C32×D4—62no—
387C2×C32×C4—22no—
388C2×C32×C4—24no—
389C2×C32×C4—22no—
390C2×C32×C4—22no—
391C2×C32×C4—21no—
392C2×C32×C4—21no—
393C2×C32×C4—21no—
394C2×C32×C4—21no—
395C2×C32×C4—21no—
396C2×C32×C4—21no—
397C2×C32×C4—31no—
398C2×C32×C4—34no—
399C2×C32×C4—31no—
400C2×C32×C4—31no—
401C2×C32×C4—31no—
402C2×C32×C4—31no—
403C2×C32×C4—41no—
404C2×C32×C4—41no—
405C2×C32×C4—42no—
406C2×C32×C4—42no—
407C2×C32×C4—44no—
408C2×C32×C4—62no—
409C2×C32×C4—62no—
410C2×C32×C4C22×D311yescharacteristic
411C2×C32×C4C22×D311yescharacteristic
412C2×C32×C4C22×D311yescharacteristic
413C2×C32×C4C22×D311yescharacteristic
414C2×C32×C4C23×C311yescharacteristic
415C2×C32×C4C23×C311yescharacteristic
416#638—22no—
417C2×C3⋊Dic3C23×C311yescharacteristic
418C2×C3⋊Dic3C23×C311yescharacteristic
419C2×C3⋊Dic3C23×C311yescharacteristic
420C4×C3⋊D3—22no—
421C3×#67—24no—
422C3×#67—24no—
423C3×#67—24no—
424C3×#67—22no—
425C3×#67—22no—
426C3×#67—22no—
427C3×#67—22no—
428C3×#67—22no—
429C3×#67—22no—
430C3×#67—62no—
431C3×#67—62no—
432C3×#67—62no—
433C3×#67—62no—
434C3×#67—64no—
435C3×#67—62no—
436C2×C3×Dic3—21no—
437C2×C3×Dic3—21no—
438C2×C3×Dic3—21no—
439C2×C3×Dic3—21no—
440C2×C3×Dic3—21no—
441C2×C3×Dic3—31no—
442C2×C3×Dic3—31no—
443C2×C3×Dic3—31no—
444C2×C3×Dic3—31no—
445C2×C3×Dic3—31no—
446C2×C3×Dic3—31no—
447C2×C3×Dic3—61no—
448C2×C3×Dic3—61no—
449C2×C3×Dic3—61no—
450C2×C3×Dic3—62no—
451C2×C3×Dic3—62no—
452C2×C3×Dic3C22×D311yescharacteristic
453C2×C3×Dic3C22×D311yescharacteristic
454C2×C3×Dic3C22×D311yescharacteristic
455C2×C3×Dic3C22×D311yescharacteristic
456C2×C3×Dic3C22×D311yescharacteristic
457C2×C3×Dic3C23×C311yescharacteristic
458C2×C3×Dic3C23×C311yescharacteristic
459C2×C3×Dic3C23×C311yescharacteristic
460C2×C3×Dic3C23×C311yescharacteristic
461C2×C3×Dic3C23×C311yescharacteristic
462C3×D12—24no—
463C3×D12—22no—
464C3×D12—22no—
465C3×D12—62no—
466C3×C4×D3—24no—
467C3×C4×D3—22no—
468C3×C4×D3—22no—
469C3×C4×D3—22no—
470C3×C4×D3—22no—
471C3×C4×D3—24no—
472C3×C4×D3—42no—
473C3×C4×D3—62no—
474C3×C4×D3—62no—
475C3×C4×D3—62no—
476C3×C4×D3—62no—
477C3×C4×D3—62no—
478C3×C4×D3—62no—
479C3×C4×D3—122no—
480C3×C4×D3#6714yescomplemented
481C3×C4×D3C3×D414yescomplemented
482C3×Dic6—24no—
483C3×Dic6—22no—
484C3×Dic6—22no—
485#626—22no—
486#625—22no—
487#624—22no—
488D3×Dic3—22no—
489D3×Dic3—22no—
490#525—91noSylow
491C2×C33—41no—
492C2×C33C22×D411yescharacteristic
493C2×C33C2×#4111yescharacteristic
494C2×C33C2×#4111yescharacteristic
495C3×C3⋊D3—22no—
496C32×D3—22no—
497C32×D3—22no—
498C32×D3—41no—
499C24×C3—91no—
500C23×D3—31no—
501C23×D3—31no—
502C3×#41—64no—
503C3×#41—64no—
504C3×#41—68no—
505C2×C3×Q8—31no—
506C2×C3×Q8—31no—
507C2×C3×Q8—61no—
508C2×C3×D4—31no—
509C2×C3×D4—31no—
510C2×C3×D4—31no—
511C2×C3×D4—31no—
512C2×C3×D4—31no—
513C2×C3×D4—31no—
514C2×C3×D4—31no—
515C2×C3×D4—31no—
516C2×C3×D4—61no—
517C2×C3×D4—61no—
518C2×C3×D4—61no—
519C2×C3×D4—61no—
520C2×C3×D4—91no—
521C2×C3×D4—91no—
522C2×C3×D4—91no—
523C22×C3×C4—21no—
524C22×C3×C4—21no—
525C22×C3×C4—21no—
526C22×C3×C4—31no—
527C22×C3×C4—31no—
528C22×C3×C4—31no—
529C22×C3×C4—31no—
530C22×C3×C4—31no—
531C22×C3×C4—31no—
532C22×C3×C4—41no—
533C22×C3×C4—61no—
534C22×C3×C4—61no—
535C22×C3×C4—61no—
536C22×C3×C4—91no—
537C22×C3×C4—91no—
538C22×C3×C4—91no—
539C22×C3×C4—91no—
540C22×C3×C4—184no—
541C22×C3×C4D3211yescharacteristic, complemented
542C22×C3×C4C2×C3×D311yescharacteristic, complemented
543C22×C3×C4C2×C3×D311yescharacteristic, complemented
544C2×#67—31no—
545C2×#67—31no—
546C2×#67—31no—
547C2×#67—31no—
548C2×#67—31no—
549C2×#67—61no—
550C2×#67C2×C3×D311yescharacteristic
551C2×#67C2×C3×D311yescharacteristic
552C2×#67C2×C3×D311yescharacteristic, complemented
553C22×Dic3—31no—
554C22×Dic3—31no—
555#235—24no—
556C2×D12—31no—
557C2×D12C2×C3×D311yescharacteristic
558C2×C4×D3—31no—
559C2×C4×D3—31no—
560C2×C4×D3—31no—
561C2×C4×D3—31no—
562C2×C4×D3—31no—
563C2×C4×D3—31no—
564C2×C4×D3—61no—
565C2×C4×D3—64no—
566C2×C4×D3—64no—
567C2×C4×D3C2×C3×D311yescharacteristic
568C2×C4×D3C2×C3×D311yescharacteristic
569C2×C4×D3C2×C3×D311yescharacteristic, complemented
570C2×Dic6C2×C3×D311yescharacteristic, complemented
571C3×C4⋊C4—31no—
572C3×C4⋊C4—31no—
573C3×C4⋊C4—61no—
574C3×C4⋊C4—91no—
575C3×C4⋊C4—91no—
576C3×C4⋊C4—91no—
577C3×C4⋊C4—91no—
578C3×C4⋊C4—91no—
579C3×C22⋊C4—31no—
580C3×C22⋊C4—31no—
581C3×C22⋊C4—31no—
582C3×C22⋊C4—31no—
583C3×C22⋊C4—61no—
584C3×C22⋊C4—61no—
585C3×C22⋊C4—91no—
586C3×C22⋊C4—91no—
587C3×C22⋊C4—91no—
588C3×C22⋊C4—91no—
589C3×C22⋊C4—91no—
590C3×C22⋊C4—91no—
591C3×C22⋊C4—91no—
592C3×C22⋊C4—91no—
593C3×C42—31no—
594C3×C42—31no—
595C3×C42—61no—
596C3×C42—91no—
597#217—31no—
598#217—31no—
599#217—31no—
600#217—31no—
601#217—31no—
602#217—31no—
603#217—31no—
604#217—61no—
605#217C2×C3×D311yescharacteristic, complemented
606(C2×D3)⋊C4—31no—
607(C2×D3)⋊C4—31no—
608(C2×D3)⋊C4—31no—
609(C2×D3)⋊C4—31no—
610(C2×D3)⋊C4—31no—
611(C2×D3)⋊C4—31no—
612(C2×D3)⋊C4—31no—
613(C2×D3)⋊C4—31no—
614(C2×D3)⋊C4—31no—
615(C2×D3)⋊C4—61no—
616(C2×D3)⋊C4C2×C3×D311yescharacteristic
617C4⋊Dic3—31no—
618C4⋊Dic3—31no—
619C4⋊Dic3—31no—
620Dic3⋊C4—31no—
621Dic3⋊C4—31no—
622Dic3⋊C4—31no—
623Dic3⋊C4—31no—
624Dic3⋊C4—31no—
625Dic3⋊C4—31no—
626Dic3⋊C4—31no—
627Dic3⋊C4—61no—
628Dic3⋊C4C2×C3×D311yescharacteristic, complemented
629C4×Dic3—31no—
630C4×Dic3—31no—
631C4×Dic3—61no—
632C4×Dic3C2×C3×D311yescharacteristic, complemented
633C22×C32—21no—
634C22×C32—21no—
635C22×C32—21no—
636C22×C32—22no—
637C22×C32—22no—
638C22×C32—22no—
639C22×C32—21no—
640C22×C32—21no—
641C22×C32—21no—
642C22×C32—21no—
643C22×C32—21no—
644C22×C32—21no—
645C22×C32—21no—
646C22×C32—21no—
647C22×C32—21no—
648C22×C32—32no—
649C22×C32—32no—
650C22×C32—41no—
651C22×C32—41no—
652C22×C32—41no—
653C22×C32—41no—
654C22×C32—41no—
655C22×C32—41no—
656C22×C32—41no—
657C22×C32—42no—
658C22×C32—42no—
659C22×C32—42no—
660C22×C32—61no—
661C22×C32—61no—
662C22×C32—61no—
663C22×C32—61no—
664C22×C32—61no—
665C22×C32—61no—
666C22×C32—61no—
667C22×C32C23×D311yescharacteristic
668C22×C32C23×D311yescharacteristic
669C22×C32C24×C311yescharacteristic
670C2×C3⋊D3—21no—
671C2×C3⋊D3—21no—
672C2×C3⋊D3C3×#4112yescomplemented
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—21no—
681C2×C3×D3—22no—
682C2×C3×D3—21no—
683C2×C3×D3—21no—
684C2×C3×D3—21no—
685C2×C3×D3—21no—
686C2×C3×D3—21no—
687C2×C3×D3—21no—
688C2×C3×D3—22no—
689C2×C3×D3—22no—
690C2×C3×D3—32no—
691C2×C3×D3—32no—
692C2×C3×D3—41no—
693C2×C3×D3—41no—
694C2×C3×D3—41no—
695C2×C3×D3—41no—
696C2×C3×D3—41no—
697C2×C3×D3—41no—
698C2×C3×D3—62no—
699C2×C3×D3—68no—
700C2×C3×D3—68no—
701C2×C3×D3—61no—
702C2×C3×D3—61no—
703C2×C3×D3—61no—
704C2×C3×D3—61no—
705C2×C3×D3—121no—
706C2×C3×D3—121no—
707C2×C3×D3#23512yescomplemented
708C2×C3×D3C2×#6712yes—
709C2×C3×D3C2×C3×D412yes—
710C2×C3×D3C3×#4112yescomplemented
711D32—28no—
712C32×C4—21no—
713C32×C4—22no—
714C32×C4—21no—
715C32×C4—21no—
716C32×C4—22no—
717C32×C4—22no—
718C32×C4—22no—
719C32×C4—32no—
720C32×C4—42no—
721C32×C4—41no—
722C32×C4—41no—
723C32×C4—42no—
724C32×C4—61no—
725C32×C4—61no—
726C32×C4—61no—
727C32×C4—61no—
728C32×C4D3×D412yes—
729C32×C4C2×#6712yes—
730C32×C4C2×C3×D412yes—
731C3⋊Dic3—21no—
732C3⋊Dic3—21no—
733C3⋊Dic3—21no—
734C3×Dic3—22no—
735C3×Dic3—22no—
736C3×Dic3—21no—
737C3×Dic3—21no—
738C3×Dic3—21no—
739C3×Dic3—21no—
740C3×Dic3—21no—
741C3×Dic3—21no—
742C3×Dic3—21no—
743C3×Dic3—21no—
744C3×Dic3—22no—
745C3×Dic3—41no—
746C3×Dic3—41no—
747C3×Dic3—62no—
748C3×Dic3—61no—
749C3×Dic3—61no—
750C3×Dic3—61no—
751C3×Dic3—61no—
752C3×Dic3—61no—
753C3×Dic3—61no—
754C3×Dic3—121no—
755C3×Dic3—121no—
756C3×Dic3C2×#6712yes—
757C3×Dic3C2×C3×D412yes—
758C2×#41—31no—
759C23×C4—91no—
760#123—91no—
761#123—91no—
762C22⋊Q8—91no—
763C22⋊Q8—91no—
764#121—91no—
765#121—91no—
766#120—91no—
767#120—91no—
768C4×D4—31no—
769C4×D4—91no—
770C4×D4—91no—
771C4×D4—91no—
772#117—91no—
773C33#52511yescharacteristic, complemented, Sylow
774C23×C3—21no—
775C23×C3—21no—
776C23×C3—21no—
777C23×C3—31no—
778C23×C3—31no—
779C23×C3—31no—
780C23×C3—31no—
781C23×C3—31no—
782C23×C3—31no—
783C23×C3—41no—
784C23×C3—61no—
785C23×C3—61no—
786C23×C3—61no—
787C23×C3—91no—
788C23×C3—182no—
789C23×C3—182no—
790C23×C3—182no—
791C23×C3C2×D3211yescharacteristic
792C23×C3C22×C3×D311yescharacteristic
793C23×C3C22×C3×D311yescharacteristic
794C22×D3—31no—
795C22×D3—31no—
796C22×D3—61no—
797C22×D3—62no—
798C22×D3—62no—
799C22×D3—62no—
800C22×D3—62no—
801C22×D3—62no—
802C22×D3—62no—
803C22×D3C22×C3×D311yescharacteristic
804C22×D3C22×C3×D311yescharacteristic
805C22×D3C22×C3×D311yescharacteristic
806C3×Q8—62no—
807C3×Q8—62no—
808C3×Q8—64no—
809C3×D4—62no—
810C3×D4—62no—
811C3×D4—64no—
812C3×D4—62no—
813C3×D4—62no—
814C3×D4—62no—
815C3×D4—62no—
816C3×D4—62no—
817C3×D4—62no—
818C3×D4—64no—
819C3×D4—64no—
820C3×D4—64no—
821C3×D4—182no—
822C3×D4—182no—
823C3×D4—182no—
824C2×C3×C4—24no—
825C2×C3×C4—22no—
826C2×C3×C4—22no—
827C2×C3×C4—22no—
828C2×C3×C4—21no—
829C2×C3×C4—21no—
830C2×C3×C4—21no—
831C2×C3×C4—21no—
832C2×C3×C4—21no—
833C2×C3×C4—21no—
834C2×C3×C4—31no—
835C2×C3×C4—31no—
836C2×C3×C4—34no—
837C2×C3×C4—34no—
838C2×C3×C4—31no—
839C2×C3×C4—31no—
840C2×C3×C4—31no—
841C2×C3×C4—31no—
842C2×C3×C4—31no—
843C2×C3×C4—31no—
844C2×C3×C4—31no—
845C2×C3×C4—31no—
846C2×C3×C4—42no—
847C2×C3×C4—42no—
848C2×C3×C4—44no—
849C2×C3×C4—41no—
850C2×C3×C4—41no—
851C2×C3×C4—64no—
852C2×C3×C4—61no—
853C2×C3×C4—61no—
854C2×C3×C4—61no—
855C2×C3×C4—61no—
856C2×C3×C4—61no—
857C2×C3×C4—64no—
858C2×C3×C4—62no—
859C2×C3×C4—62no—
860C2×C3×C4—62no—
861C2×C3×C4—62no—
862C2×C3×C4—91no—
863C2×C3×C4—91no—
864C2×C3×C4—91no—
865C2×C3×C4—122no—
866C2×C3×C4—182no—
867C2×C3×C4—182no—
868C2×C3×C4—182no—
869C2×C3×C4—182no—
870C2×C3×C4C2×D3211yescharacteristic
871C2×C3×C4C2×D3211yescharacteristic
872C2×C3×C4C22×C3×D311yescharacteristic
873C2×C3×C4C22×C3×D311yescharacteristic
874C2×C3×C4C22×C3×D311yescharacteristic
875C2×C3×C4C22×C3×D311yescharacteristic
876#67—22no—
877#67—22no—
878#67—22no—
879#67—62no—
880#67—62no—
881#67—62no—
882#67—62no—
883#67—64no—
884#67—62no—
885C2×Dic3—31no—
886C2×Dic3—31no—
887C2×Dic3—31no—
888C2×Dic3—31no—
889C2×Dic3—31no—
890C2×Dic3—31no—
891C2×Dic3—61no—
892C2×Dic3—61no—
893C2×Dic3—61no—
894C2×Dic3—62no—
895C2×Dic3—62no—
896C2×Dic3C22×C3×D311yescharacteristic
897C2×Dic3C22×C3×D311yescharacteristic
898C2×Dic3C22×C3×D311yescharacteristic
899C2×Dic3C22×C3×D311yescharacteristic
900C2×Dic3C22×C3×D311yescharacteristic
901D12—22no—
902D12—62no—
903C4×D3—22no—
904C4×D3—22no—
905C4×D3—62no—
906C4×D3—62no—
907C4×D3—62no—
908C4×D3—62no—
909C4×D3—62no—
910C4×D3—62no—
911C4×D3—122no—
912C4×D3C3×#6714yescomplemented
913Dic6—22no—
914C2×C32—21no—
915C2×C32—21no—
916C2×C32—21no—
917C2×C32—21no—
918C2×C32—21no—
919C2×C32—21no—
920C2×C32—21no—
921C2×C32—21no—
922C2×C32—21no—
923C2×C32—41no—
924C2×C32—41no—
925C2×C32—41no—
926C2×C32—42no—
927C2×C32—42no—
928C2×C32—42no—
929C2×C32—44no—
930C2×C32—41no—
931C2×C32—41no—
932C2×C32—41no—
933C2×C32—62no—
934C2×C32—62no—
935C2×C32—121no—
936C2×C32C2×#23511yescharacteristic
937C2×C32C2×D3×D411yescharacteristic
938C2×C32D3×#4111yescharacteristic
939C2×C32D3×#4111yescharacteristic
940C2×C32D3×#4111yescharacteristic
941C2×C32C22×#6711yescharacteristic
942C2×C32C22×C3×D411yescharacteristic
943C2×C32C2×C3×#4111yescharacteristic
944C2×C32C2×C3×#4111yescharacteristic
945C3⋊D3—22no—
946C3×D3—22no—
947C3×D3—22no—
948C3×D3—22no—
949C3×D3—22no—
950C3×D3—42no—
951C3×D3—42no—
952C3×D3—42no—
953C3×D3—41no—
954C3×D3—41no—
955C3×D3—62no—
956C3×D3—62no—
957C3×D3—122no—
958C24—91no—
959#41—64no—
960C2×Q8—31no—
961C2×D4—31no—
962C2×D4—31no—
963C2×D4—31no—
964C2×D4—31no—
965C2×D4—91no—
966C2×D4—91no—
967C2×D4—91no—
968C22×C4—31no—
969C22×C4—31no—
970C22×C4—31no—
971C22×C4—91no—
972C22×C4—91no—
973C22×C4—91no—
974C22×C4—91no—
975C22×C4—184no—
976C22×C4C3×D3211yescharacteristic, complemented
977C4⋊C4—31no—
978C4⋊C4—91no—
979C4⋊C4—91no—
980C4⋊C4—91no—
981C4⋊C4—91no—
982C4⋊C4—91no—
983C22⋊C4—31no—
984C22⋊C4—31no—
985C22⋊C4—91no—
986C22⋊C4—91no—
987C22⋊C4—91no—
988C22⋊C4—91no—
989C22⋊C4—91no—
990C22⋊C4—91no—
991C22⋊C4—91no—
992C22⋊C4—91no—
993C42—31no—
994C42—91no—
995C22×C3—22no—
996C22×C3—22no—
997C22×C3—22no—
998C22×C3—21no—
999C22×C3—21no—
1000C22×C3—21no—
1001C22×C3—21no—
1002C22×C3—21no—
1003C22×C3—21no—
1004C22×C3—21no—
1005C22×C3—21no—
1006C22×C3—21no—
1007C22×C3—21no—
1008C22×C3—21no—
1009C22×C3—21no—
1010C22×C3—32no—
1011C22×C3—32no—
1012C22×C3—32no—
1013C22×C3—32no—
1014C22×C3—41no—
1015C22×C3—41no—
1016C22×C3—41no—
1017C22×C3—41no—
1018C22×C3—41no—
1019C22×C3—41no—
1020C22×C3—42no—
1021C22×C3—42no—
1022C22×C3—42no—
1023C22×C3—41no—
1024C22×C3—62no—
1025C22×C3—62no—
1026C22×C3—62no—
1027C22×C3—61no—
1028C22×C3—61no—
1029C22×C3—61no—
1030C22×C3—61no—
1031C22×C3—61no—
1032C22×C3—61no—
1033C22×C3—61no—
1034C22×C3—61no—
1035C22×C3—61no—
1036C22×C3—61no—
1037C22×C3—61no—
1038C22×C3—61no—
1039C22×C3—61no—
1040C22×C3—61no—
1041C22×C3—92no—
1042C22×C3—121no—
1043C22×C3—121no—
1044C22×C3—121no—
1045C22×C3—121no—
1046C22×C3—121no—
1047C22×C3—121no—
1048C22×C3—188no—
1049C22×C3—181no—
1050C22×C3—181no—
1051C22×C3C22×D3211yescharacteristic
1052C22×C3C23×C3×D311yescharacteristic
1053C22×C3C23×C3×D311yescharacteristic
1054C2×D3—21no—
1055C2×D3—21no—
1056C2×D3—21no—
1057C2×D3—21no—
1058C2×D3—21no—
1059C2×D3—21no—
1060C2×D3—21no—
1061C2×D3—32no—
1062C2×D3—32no—
1063C2×D3—62no—
1064C2×D3—68no—
1065C2×D3—68no—
1066C2×D3—61no—
1067C2×D3—61no—
1068C2×D3—61no—
1069C2×D3—61no—
1070C2×D3—121no—
1071C2×D3—121no—
1072C2×D3C3×#23512yescomplemented
1073C2×D3C2×C3×#6712yes—
1074C3×C4—22no—
1075C3×C4—21no—
1076C3×C4—21no—
1077C3×C4—21no—
1078C3×C4—22no—
1079C3×C4—22no—
1080C3×C4—22no—
1081C3×C4—32no—
1082C3×C4—32no—
1083C3×C4—41no—
1084C3×C4—41no—
1085C3×C4—42no—
1086C3×C4—42no—
1087C3×C4—62no—
1088C3×C4—62no—
1089C3×C4—62no—
1090C3×C4—61no—
1091C3×C4—61no—
1092C3×C4—61no—
1093C3×C4—61no—
1094C3×C4—61no—
1095C3×C4—61no—
1096C3×C4—61no—
1097C3×C4—61no—
1098C3×C4—121no—
1099C3×C4—121no—
1100C3×C4—181no—
1101C3×C4—181no—
1102C3×C4—181no—
1103C3×C4D3×#6712yes—
1104C3×C4C3×D3×D412yes—
1105C3×C4C2×C3×#6712yes—
1106Dic3—21no—
1107Dic3—21no—
1108Dic3—21no—
1109Dic3—21no—
1110Dic3—62no—
1111Dic3—61no—
1112Dic3—61no—
1113Dic3—61no—
1114Dic3—61no—
1115Dic3—61no—
1116Dic3—61no—
1117Dic3—121no—
1118Dic3—121no—
1119Dic3C2×C3×#6712yes—
1120C32—21no—
1121C32—21no—
1122C32—21no—
1123C32—41no—
1124C32#554711yescharacteristic, complemented
1125C32#582811yescharacteristic, complemented
1126C32C3×#52511yescharacteristic, complemented
1127C23—31no—
1128C23—31no—
1129C23—31no—
1130C23—91no—
1131C23—182no—
1132C23—182no—
1133C23—182no—
1134C23C2×C3×D3211yescharacteristic
1135Q8—62no—
1136D4—62no—
1137D4—62no—
1138D4—62no—
1139D4—62no—
1140D4—182no—
1141D4—182no—
1142D4—182no—
1143C2×C4—22no—
1144C2×C4—31no—
1145C2×C4—34no—
1146C2×C4—31no—
1147C2×C4—31no—
1148C2×C4—31no—
1149C2×C4—31no—
1150C2×C4—62no—
1151C2×C4—62no—
1152C2×C4—91no—
1153C2×C4—91no—
1154C2×C4—91no—
1155C2×C4—182no—
1156C2×C4—182no—
1157C2×C4—182no—
1158C2×C4—182no—
1159C2×C4C2×C3×D3211yescharacteristic
1160C2×C4C2×C3×D3211yescharacteristic
1161C2×C3—21no—
1162C2×C3—21no—
1163C2×C3—21no—
1164C2×C3—21no—
1165C2×C3—21no—
1166C2×C3—21no—
1167C2×C3—21no—
1168C2×C3—21no—
1169C2×C3—21no—
1170C2×C3—42no—
1171C2×C3—42no—
1172C2×C3—42no—
1173C2×C3—44no—
1174C2×C3—41no—
1175C2×C3—41no—
1176C2×C3—41no—
1177C2×C3—41no—
1178C2×C3—41no—
1179C2×C3—41no—
1180C2×C3—62no—
1181C2×C3—62no—
1182C2×C3—62no—
1183C2×C3—62no—
1184C2×C3—122no—
1185C2×C3—122no—
1186C2×C3—122no—
1187C2×C3—121no—
1188C2×C3—121no—
1189C2×C3—182no—
1190C2×C3D3×#23511yescharacteristic
1191C2×C3#6430611yescharacteristic
1192C2×C3C2×D3×#6711yescharacteristic
1193C2×C3C2×C3×#23511yescharacteristic
1194C2×C3C2×C3×D3×D411yescharacteristic
1195C2×C3C3×D3×#4111yescharacteristic
1196C2×C3C3×D3×#4111yescharacteristic
1197C2×C3C3×D3×#4111yescharacteristic
1198C2×C3C22×C3×#6711yescharacteristic
1199D3—22no—
1200D3—22no—
1201D3—41no—
1202D3—62no—
1203D3—62no—
1204D3—122no—
1205C22—21no—
1206C22—21no—
1207C22—21no—
1208C22—32no—
1209C22—32no—
1210C22—61no—
1211C22—61no—
1212C22—61no—
1213C22—61no—
1214C22—61no—
1215C22—61no—
1216C22—61no—
1217C22—92no—
1218C22—188no—
1219C22—181no—
1220C22—181no—
1221C22C22×C3×D3211yescharacteristic
1222C4—21no—
1223C4—32no—
1224C4—61no—
1225C4—61no—
1226C4—61no—
1227C4—61no—
1228C4—181no—
1229C4—181no—
1230C4—181no—
1231C4C3×D3×#6712yes—
1232C3—21no—
1233C3—21no—
1234C3—21no—
1235C3—41no—
1236C3#1059506011yescharacteristic, direct product factor
1237C3C3×#554711yescharacteristic, complemented
1238C3C3×#582811yescharacteristic, complemented
1239C2—41no—
1240C2—62no—
1241C2—62no—
1242C2—121no—
1243C2—182no—
1244C2C3×D3×#23511yescharacteristic
1245C2C3×#6430611yescharacteristic
1246C2C2×C3×D3×#6711yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#525
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C32×#235C2semidirect
2. C2×C3×C4×D32C2semidirect
3. C3×C4×#638C2semidirect
4. C32×C4×#67C2semidirect
5. C3×#63983C2semidirect
6. C3×#63970C2semidirect
7. C3×#63969C2semidirect
8. C3×#63958C2semidirect
9. C3×#63922C2semidirect
10. C3×C4×#626C2semidirect
11. C3×C4×#625C2semidirect
12. C3×#63888C2semidirect
13. C3×#63887C2semidirect
14. C3×#63884C2semidirect
15. C3×#63855C2semidirect
18. #10595060C3direct (N × H)
20. C22×C33×C4C22semidirect
25. C2×C32×#67C22semidirect
30. C2×C32×C4×D3C22semidirect
31. C2×C32×Dic6C22semidirect
38. C3×#3757C22semidirect
40. C3×#3750C22semidirect
41. C3×C4×C3⋊Dic3C22semidirect
42. C32×#217C22semidirect
44. C32×Dic3⋊C4C22semidirect
45. C32×C4×Dic3C22semidirect
46. C3×#3724C22semidirect
47. C3×Dic3⋊Dic3C22semidirect
48. C3×Dic3⋊Dic3C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
58. C2×C3×#235D3semidirect
59. C2×C3×#235C2×C3semidirect
62. C2×C4×D32C2×C3semidirect
64. C4×#638C2×C3semidirect
82. C3×C4×#67D3semidirect
83. C3×C4×#67C2×C3semidirect
93. #63983C2×C3semidirect
94. #63970C2×C3semidirect
95. #63969C2×C3semidirect
96. #63958C2×C3semidirect
97. #63922C2×C3semidirect
98. C4×#626C2×C3semidirect
99. C4×#625C2×C3semidirect
100. #63888C2×C3semidirect
101. #63887C2×C3semidirect
102. #63884C2×C3semidirect
103. #63855C2×C3semidirect
131. C32×C4×D3D4semidirect
157. C22×C32×C4C2×D3semidirect
158. C22×C32×C4C2×D3semidirect
159. C22×C32×C4C22×C3semidirect
173. C2×C3×#67C2×D3semidirect
176. C2×C3×#67C22×C3semidirect
200. C2×C3×C4×D3C2×D3semidirect
203. C2×C3×C4×D3C22×C3semidirect
205. C2×C3×Dic6C2×D3semidirect
206. C2×C3×Dic6C22×C3semidirect
217. #3757C22×C3semidirect
219. #3750C22×C3semidirect
220. C4×C3⋊Dic3C22×C3semidirect
230. C3×#217C2×D3semidirect
231. C3×#217C22×C3semidirect
257. C3×Dic3⋊C4C2×D3semidirect
258. C3×Dic3⋊C4C22×C3semidirect
263. C3×C4×Dic3C2×D3semidirect
264. C3×C4×Dic3C22×C3semidirect
265. #3724C22×C3semidirect
266. Dic3⋊Dic3C22×C3semidirect
267. Dic3⋊Dic3C22×C3semidirect
268. Dic3⋊Dic3C22×C3semidirect
273. (C2×D3)⋊Dic3C22×C3semidirect
274. (C2×D3)⋊Dic3C22×C3semidirect
281. C2×C3×C3⋊D3#41semidirect
290. C2×C32×D3#41semidirect
306. C2×#235C3×D3semidirect
340. C4×#67C3×D3semidirect
480. C3×C4×D3#67semidirect
481. C3×C4×D3C3×D4semidirect
541. C22×C3×C4D32semidirect
542. C22×C3×C4C2×C3×D3semidirect
543. C22×C3×C4C2×C3×D3semidirect
552. C2×#67C2×C3×D3semidirect
569. C2×C4×D3C2×C3×D3semidirect
570. C2×Dic6C2×C3×D3semidirect
605. #217C2×C3×D3semidirect
628. Dic3⋊C4C2×C3×D3semidirect
632. C4×Dic3C2×C3×D3semidirect
672. C2×C3⋊D3C3×#41semidirect
707. C2×C3×D3#235semidirect
710. C2×C3×D3C3×#41semidirect
773. C33#525semidirect
912. C4×D3C3×#67semidirect
976. C22×C4C3×D32semidirect
1072. C2×D3C3×#235semidirect
1124. C32#5547semidirect
1125. C32#5828semidirect
1126. C32C3×#525semidirect
1236. C3#10595060direct (N × H)
1237. C3C3×#5547semidirect
1238. C3C3×#5828semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2352
C2×C3×C4×D322
C3×C4×#6382
C32×C4×#672
C3×#639832
C3×#639702
C3×#639692
C3×#639582
C3×#639222
C3×C4×#6262
C3×C4×#6252
C3×#638882
C3×#638872
C3×#638842
C3×#638552
C3×#58283
C3×#55473
#105950603