Finite Group Databasebeta

← C3×#10595056 #13174653

Subgroups — C3×#10595056 #13174653

Order 1728.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×#67C211yesmaximal, characteristic
2C3×C4×#638C211yesmaximal, characteristic, complemented
3C32×C4×#67C211yesmaximal, characteristic, complemented
4C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
5C3×Dic3×#67C211yesmaximal, characteristic, complemented
6C3×D3×#217C211yesmaximal, characteristic, complemented
7C3×#63952C211yesmaximal, characteristic, complemented
8C3×#63921C211yesmaximal, characteristic, complemented
9C3×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
10C3×#63902C211yesmaximal, characteristic, complemented
11C3×#63881C211yesmaximal, characteristic, complemented
12C3×#63880C211yesmaximal, characteristic, complemented
13C3×#63879C211yesmaximal, characteristic, complemented
14C3×#63878C211yesmaximal, characteristic, complemented
15C3×#63877C211yesmaximal, characteristic, complemented
16C3×#5545—31nomaximal
17C3×#5486—31nomaximal
18#10595056C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C22×C33×C4C2211yescharacteristic, complemented
22C2×C3×#638C2211yescharacteristic
23C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
24C2×C32×#67C2211yescharacteristic
25C22×C32×Dic3C2211yescharacteristic, complemented
26C2×C32×C4×D3C2211yescharacteristic, complemented
27C3×D3×#67C418yescomplemented
28C2×C3×#626C2211yescharacteristic
29C2×C3×#625C2211yescharacteristic
30C2×C3×#624C2211yescharacteristic, complemented
31C2×C3×D3×Dic3C2211yescharacteristic
32C2×C3×D3×Dic3C2211yescharacteristic, complemented
33C2×C3×D3×Dic3C2211yescharacteristic, complemented
34C2×C3×D3×Dic3C2211yescharacteristic, complemented
35C3×#3757C2211yescharacteristic, complemented
36C3×#3752C2211yescharacteristic, complemented
37C3×#3750C2211yescharacteristic, complemented
38C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
39C32×#217C2211yescharacteristic, complemented
40C32×(C2×D3)⋊C4C2211yescharacteristic
41C32×(C2×D3)⋊C4C2211yescharacteristic
42C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
43C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
44C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
45C32×Dic3⋊C4C2211yescharacteristic, complemented
46C32×C4×Dic3C2211yescharacteristic, complemented
47C3×#3724C2211yescharacteristic, complemented
48C3×Dic3⋊Dic3C2211yescharacteristic, complemented
49C3×#3722C2211yescharacteristic, complemented
50C3×(C2×D3)⋊Dic3C2211yescharacteristic
51C3×(C2×D3)⋊Dic3C2211yescharacteristic
52C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
53C3×Dic32C2211yescharacteristic, complemented
54C3×Dic32C2211yescharacteristic, complemented
55C22×C3×#67—31no—
56C2×C3×D3×D4—31no—
57C2×D3×#67C2×C311yescharacteristic
58C32×C4×D4—31no—
59C2×C32×C22⋊C4—31no—
60C4×#638C2×C311yescharacteristic, complemented
61C2×C3×#217—31no—
62C3×D4×Dic3—31no—
63C3×C4×#67—21no—
64C3×C4×#67—31no—
65C3×C4×#67—31no—
66C3×C4×#67—31no—
67C3×C4×#67—31no—
68C3×C4×#67—31no—
69C3×C4×#67—61no—
70C3×C4×#67D311yescharacteristic, complemented
71C3×C4×#67C2×C311yescharacteristic, complemented
72C2×C3×(C2×D3)⋊C4—21no—
73C2×C3×(C2×D3)⋊C4—31no—
74C2×C3×(C2×D3)⋊C4D311yescharacteristic, complemented
75C2×C3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
76C3×#893—31no—
77C3×#892—31no—
78C3×#67⋊C4—31no—
79C3×#67⋊C4—31no—
80C3×#67⋊C4—31no—
81C3×#67⋊C4—31no—
82C3×#67⋊C4—31no—
83C3×#67⋊C4—31no—
84C3×D3×C22⋊C4—31no—
85C3×D3×C22⋊C4—31no—
86C3×D3×C22⋊C4—31no—
87C3×D3×C22⋊C4—31no—
88C3×#877—31no—
89C3×#877—31no—
90C3×C4×D12—31no—
91C3×#872—31no—
92Dic3×#67C2×C311yescharacteristic, complemented
93D3×#217C2×C311yescharacteristic, complemented
94#63952C2×C311yescharacteristic, complemented
95#63921C2×C311yescharacteristic, complemented
96D3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
97#63902C2×C311yescharacteristic, complemented
98#63881C2×C311yescharacteristic, complemented
99#63880C2×C311yescharacteristic, complemented
100#63879C2×C311yescharacteristic, complemented
101#63878C2×C311yescharacteristic, complemented
102#63877C2×C311yescharacteristic, complemented
103C23×C33C2311yescharacteristic
104C22×C3×C3⋊D3C2311yescharacteristic
105C22×C32×D3—41no—
106C22×C32×D3—41no—
107C22×C32×D3C2×C414yescomplemented
108C22×C32×D3C2311yescharacteristic
109C22×C32×D3C2311yescharacteristic
110C22×C32×D3C2311yescharacteristic
111C2×C3×D32—41no—
112C2×C3×D32—41no—
113C2×C3×D32C2×C414yescomplemented
114C2×C33×C4—41no—
115C2×C33×C4C2311yescharacteristic
116C2×C33×C4C2311yescharacteristic
117C3×#638C2×C414yescomplemented
118C2×C3×C3⋊Dic3C2311yescharacteristic
119C2×C3×C3⋊Dic3C2311yescharacteristic
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C3×C4×C3⋊D3—41no—
122C32×#67C2×C414yescomplemented
123C2×C32×Dic3—41no—
124C2×C32×Dic3C2311yescharacteristic
125C2×C32×Dic3C2311yescharacteristic
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C32×C4×D3—41no—
130C3×#626C2×C414yescomplemented
131C3×#625C2×C414yescomplemented
132C3×#624—41no—
133C3×D3×Dic3—41no—
134C3×D3×Dic3—41no—
135C3×D3×Dic3—41no—
136C3×D3×Dic3C2×C414yescomplemented
137C3×#518—91no—
138#5545—31no—
139#5486—31no—
140C24×C32—31no—
141C23×C3×D3—21no—
142C23×C3×D3—31no—
143C23×C3×D3—31no—
144C23×C3×D3C2×D311yescharacteristic
145C23×C3×D3C22×C311yescharacteristic
146C22×D32C22×C311yescharacteristic
147C2×C32×D4—31no—
148C22×C32×C4—21no—
149C22×C32×C4—21no—
150C22×C32×C4—21no—
151C22×C32×C4—31no—
152C22×C32×C4—31no—
153C22×C32×C4—41no—
154C22×C32×C4C2×D311yescharacteristic, complemented
155C22×C32×C4C2×D311yescharacteristic, complemented
156C22×C32×C4C22×C311yescharacteristic, complemented
157C2×#638C22×C311yescharacteristic
158C2×C4×C3⋊D3C22×C311yescharacteristic, complemented
159C2×C3×#67—21no—
160C2×C3×#67—31no—
161C2×C3×#67—31no—
162C2×C3×#67—31no—
163C2×C3×#67—31no—
164C2×C3×#67—38no—
165C2×C3×#67—31no—
166C2×C3×#67—61no—
167C2×C3×#67C2×D311yescharacteristic
168C2×C3×#67C22×C311yescharacteristic
169C22×C3×Dic3—21no—
170C22×C3×Dic3—31no—
171C22×C3×Dic3—31no—
172C22×C3×Dic3—31no—
173C22×C3×Dic3—31no—
174C22×C3×Dic3C2×D311yescharacteristic, complemented
175C22×C3×Dic3C22×C311yescharacteristic, complemented
176C3×D3×D4—38no—
177C2×C3×D12—31no—
178C2×C3×C4×D3—21no—
179C2×C3×C4×D3—31no—
180C2×C3×C4×D3—31no—
181C2×C3×C4×D3—31no—
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—61no—
188C2×C3×C4×D3C2×D311yescharacteristic, complemented
189C2×C3×C4×D3C22×C311yescharacteristic, complemented
190D3×#67C3×C418yescomplemented
191C2×#626C22×C311yescharacteristic
192C2×#625C22×C311yescharacteristic
193C2×#624C22×C311yescharacteristic, complemented
194C2×D3×Dic3C22×C311yescharacteristic
195C2×D3×Dic3C22×C311yescharacteristic, complemented
196C2×D3×Dic3C22×C311yescharacteristic, complemented
197C2×D3×Dic3C22×C311yescharacteristic, complemented
198C32×C4⋊C4—31no—
199C32×C22⋊C4—31no—
200C32×C22⋊C4—31no—
201C32×C22⋊C4—31no—
202C32×C22⋊C4—31no—
203C32×C22⋊C4—31no—
204C32×C22⋊C4—31no—
205C32×C42—31no—
206#3757C22×C311yescharacteristic, complemented
207#3752C22×C311yescharacteristic, complemented
208#3750C22×C311yescharacteristic, complemented
209C4×C3⋊Dic3C22×C311yescharacteristic, complemented
210C3×#217—21no—
211C3×#217—31no—
212C3×#217—31no—
213C3×#217—31no—
214C3×#217—31no—
215C3×#217—31no—
216C3×#217—61no—
217C3×#217C2×D311yescharacteristic, complemented
218C3×#217C22×C311yescharacteristic, complemented
219C3×(C2×D3)⋊C4—21no—
220C3×(C2×D3)⋊C4—21no—
221C3×(C2×D3)⋊C4—21no—
222C3×(C2×D3)⋊C4—21no—
223C3×(C2×D3)⋊C4—21no—
224C3×(C2×D3)⋊C4—31no—
225C3×(C2×D3)⋊C4—31no—
226C3×(C2×D3)⋊C4—31no—
227C3×(C2×D3)⋊C4—31no—
228C3×(C2×D3)⋊C4—31no—
229C3×(C2×D3)⋊C4—31no—
230C3×(C2×D3)⋊C4—31no—
231C3×(C2×D3)⋊C4—61no—
232C3×(C2×D3)⋊C4C2×D311yescharacteristic
233C3×(C2×D3)⋊C4C2×D311yescharacteristic
234C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
235C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
236C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
237C3×(C2×D3)⋊C4C22×C311yescharacteristic
238C3×(C2×D3)⋊C4C22×C311yescharacteristic
239C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
240C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
241C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
242C3×C4⋊Dic3—31no—
243C3×Dic3⋊C4—21no—
244C3×Dic3⋊C4—31no—
245C3×Dic3⋊C4—31no—
246C3×Dic3⋊C4—31no—
247C3×Dic3⋊C4—31no—
248C3×Dic3⋊C4—31no—
249C3×Dic3⋊C4—61no—
250C3×Dic3⋊C4C2×D311yescharacteristic, complemented
251C3×Dic3⋊C4C22×C311yescharacteristic, complemented
252C3×C4×Dic3—21no—
253C3×C4×Dic3—31no—
254C3×C4×Dic3—31no—
255C3×C4×Dic3—31no—
256C3×C4×Dic3—31no—
257C3×C4×Dic3—31no—
258C3×C4×Dic3—31no—
259C3×C4×Dic3—61no—
260C3×C4×Dic3C2×D311yescharacteristic, complemented
261C3×C4×Dic3C22×C311yescharacteristic, complemented
262#3724C22×C311yescharacteristic, complemented
263Dic3⋊Dic3C22×C311yescharacteristic, complemented
264#3722C22×C311yescharacteristic, complemented
265(C2×D3)⋊Dic3C22×C311yescharacteristic
266(C2×D3)⋊Dic3C22×C311yescharacteristic
267(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
268Dic32C22×C311yescharacteristic, complemented
269Dic32C22×C311yescharacteristic, complemented
270C22×C33—21no—
271C22×C33—21no—
272C22×C33C22×C412yes—
273C22×C33C2411yescharacteristic
274C2×C3×C3⋊D3—21no—
275C2×C3×C3⋊D3—21no—
276C2×C3×C3⋊D3C22×C412yes—
277C2×C32×D3—21no—
278C2×C32×D3—21no—
279C2×C32×D3—21no—
280C2×C32×D3—21no—
281C2×C32×D3—21no—
282C2×C32×D3—21no—
283C2×C32×D3—44no—
284C2×C32×D3C22×C412yes—
285C2×C32×D3C22×C412yes—
286C2×C32×D3C22×C412yes—
287C3×D32—44no—
288C33×C4—21no—
289C33×C4—21no—
290C3×C3⋊Dic3—21no—
291C3×C3⋊Dic3—21no—
292C3×C3⋊Dic3C22×C412yes—
293C32×Dic3—21no—
294C32×Dic3—21no—
295C32×Dic3—21no—
296C32×Dic3—21no—
297C32×Dic3C22×C412yes—
298C22×C3×D4—91no—
299C22×#67—31no—
300C2×D3×D4—31no—
301C3×C4×D4—31no—
302C3×C4×D4—31no—
303C3×C4×D4—61no—
304C3×C4×D4—91no—
305C3×C4×D4—91no—
306C3×C4×D4—91no—
307C3×C4×D4—91no—
308C3×C4×D4—91no—
309C3×C4×D4—91no—
310C3×C4×D4—91no—
311C3×#117—91no—
312C3×#117—91no—
313C2×C3×C22⋊C4—31no—
314C2×C3×C22⋊C4—31no—
315C2×C3×C22⋊C4—61no—
316C2×C3×C22⋊C4—91no—
317C2×C3×C22⋊C4—91no—
318C2×C3×C22⋊C4—91no—
319C2×#217—31no—
320D4×Dic3—31no—
321C4×#67—31no—
322C4×#67—31no—
323C4×#67—31no—
324C4×#67—31no—
325C4×#67—31no—
326C4×#67—61no—
327C4×#67C3×D311yescharacteristic, complemented
328C2×(C2×D3)⋊C4—31no—
329C2×(C2×D3)⋊C4C3×D311yescharacteristic, complemented
330#893—31no—
331#892—31no—
332#67⋊C4—31no—
333#67⋊C4—31no—
334#67⋊C4—31no—
335#67⋊C4—31no—
336#67⋊C4—31no—
337#67⋊C4—31no—
338D3×C22⋊C4—31no—
339D3×C22⋊C4—31no—
340D3×C22⋊C4—31no—
341D3×C22⋊C4—31no—
342#877—31no—
343#877—31no—
344C4×D12—31no—
345#872—31no—
346C23×C32—21no—
347C23×C32—21no—
348C23×C32—21no—
349C23×C32—31no—
350C23×C32—31no—
351C23×C32—31no—
352C23×C32—34no—
353C23×C32—41no—
354C23×C32—121no—
355C23×C32—121no—
356C23×C32C22×D311yescharacteristic
357C23×C32C22×D311yescharacteristic
358C23×C32C23×C311yescharacteristic
359C22×C3⋊D3C23×C311yescharacteristic
360C22×C3×D3—24no—
361C22×C3×D3—21no—
362C22×C3×D3—21no—
363C22×C3×D3—21no—
364C22×C3×D3—31no—
365C22×C3×D3—31no—
366C22×C3×D3—34no—
367C22×C3×D3—34no—
368C22×C3×D3—41no—
369C22×C3×D3—41no—
370C22×C3×D3—41no—
371C22×C3×D3—41no—
372C22×C3×D3—42no—
373C22×C3×D3—42no—
374C22×C3×D3—61no—
375C22×C3×D3—121no—
376C22×C3×D3—121no—
377C22×C3×D3—121no—
378C22×C3×D3—121no—
379C22×C3×D3C4×D314yescomplemented
380C22×C3×D3C2×C3×C414yescomplemented
381C22×C3×D3C22×D311yescharacteristic
382C22×C3×D3C22×D311yescharacteristic
383C22×C3×D3C22×D311yescharacteristic
384C22×C3×D3C23×C311yescharacteristic
385C22×C3×D3C23×C311yescharacteristic
386C22×C3×D3C23×C311yescharacteristic
387C2×D32—41no—
388C2×D32—41no—
389C2×D32C2×C3×C414yescomplemented
390C32×D4—34no—
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—31no—
399C2×C32×C4—31no—
400C2×C32×C4—31no—
401C2×C32×C4—31no—
402C2×C32×C4—41no—
403C2×C32×C4—41no—
404C2×C32×C4—41no—
405C2×C32×C4—41no—
406C2×C32×C4—41no—
407C2×C32×C4—42no—
408C2×C32×C4—42no—
409C2×C32×C4—42no—
410C2×C32×C4—44no—
411C2×C32×C4—121no—
412C2×C32×C4—121no—
413C2×C32×C4C22×D311yescharacteristic
414C2×C32×C4C22×D311yescharacteristic
415C2×C32×C4C22×D311yescharacteristic
416C2×C32×C4C22×D311yescharacteristic
417C2×C32×C4C23×C311yescharacteristic
418C2×C32×C4C23×C311yescharacteristic
419#638C2×C3×C414yescomplemented
420C2×C3⋊Dic3C23×C311yescharacteristic
421C2×C3⋊Dic3C23×C311yescharacteristic
422C2×C3⋊Dic3C23×C311yescharacteristic
423C4×C3⋊D3—41no—
424C3×#67—24no—
425C3×#67—34no—
426C3×#67—34no—
427C3×#67—34no—
428C3×#67—34no—
429C3×#67—34no—
430C3×#67—64no—
431C3×#67C4×D314yescomplemented
432C3×#67C2×C3×C414yescomplemented
433C2×C3×Dic3—21no—
434C2×C3×Dic3—21no—
435C2×C3×Dic3—21no—
436C2×C3×Dic3—21no—
437C2×C3×Dic3—21no—
438C2×C3×Dic3—31no—
439C2×C3×Dic3—31no—
440C2×C3×Dic3—34no—
441C2×C3×Dic3—31no—
442C2×C3×Dic3—31no—
443C2×C3×Dic3—31no—
444C2×C3×Dic3—31no—
445C2×C3×Dic3—41no—
446C2×C3×Dic3—41no—
447C2×C3×Dic3—42no—
448C2×C3×Dic3—61no—
449C2×C3×Dic3—61no—
450C2×C3×Dic3—61no—
451C2×C3×Dic3—121no—
452C2×C3×Dic3—121no—
453C2×C3×Dic3—121no—
454C2×C3×Dic3C22×D311yescharacteristic
455C2×C3×Dic3C22×D311yescharacteristic
456C2×C3×Dic3C22×D311yescharacteristic
457C2×C3×Dic3C22×D311yescharacteristic
458C2×C3×Dic3C22×D311yescharacteristic
459C2×C3×Dic3C23×C311yescharacteristic
460C2×C3×Dic3C23×C311yescharacteristic
461C2×C3×Dic3C23×C311yescharacteristic
462C2×C3×Dic3C23×C311yescharacteristic
463C2×C3×Dic3C23×C311yescharacteristic
464C3×D12—34no—
465C3×C4×D3—34no—
466C3×C4×D3—41no—
467C3×C4×D3—41no—
468C3×C4×D3—42no—
469C3×C4×D3—121no—
470C3×C4×D3—121no—
471C3×C4×D3—121no—
472C3×C4×D3—121no—
473C3×C4×D3—121no—
474C3×C4×D3—121no—
475C3×C4×D3—121no—
476C3×C4×D3—122no—
477#626C2×C3×C414yescomplemented
478#625C2×C3×C414yescomplemented
479#624—41no—
480D3×Dic3—41no—
481D3×Dic3—41no—
482D3×Dic3—41no—
483D3×Dic3C2×C3×C414yescomplemented
484#518—91noSylow
485C2×C33—22no—
486C2×C33C23×C411yescharacteristic
487C2×C33H(5,𝔽2)11yescharacteristic
488C2×C33H(5,𝔽2)11yescharacteristic
489C3×C3⋊D3—22no—
490C32×D3—22no—
491C32×D3—22no—
492C32×D3—22no—
493C24×C3—31no—
494C24×C3—31no—
495C24×C3—61no—
496C24×C3—91no—
497C23×D3—31no—
498C23×D3—31no—
499C23×D3C2×C3×D311yescharacteristic
500C2×C3×D4—31no—
501C2×C3×D4—31no—
502C2×C3×D4—61no—
503C2×C3×D4—91no—
504C2×C3×D4—98no—
505C2×C3×D4—91no—
506C2×C3×D4—91no—
507C22×C3×C4—21no—
508C22×C3×C4—21no—
509C22×C3×C4—21no—
510C22×C3×C4—31no—
511C22×C3×C4—31no—
512C22×C3×C4—31no—
513C22×C3×C4—31no—
514C22×C3×C4—41no—
515C22×C3×C4—61no—
516C22×C3×C4—61no—
517C22×C3×C4—91no—
518C22×C3×C4—91no—
519C22×C3×C4—91no—
520C22×C3×C4—91no—
521C22×C3×C4—91no—
522C22×C3×C4—91no—
523C22×C3×C4D3211yescharacteristic, complemented
524C22×C3×C4C2×C3×D311yescharacteristic, complemented
525C22×C3×C4C2×C3×D311yescharacteristic, complemented
526C2×#67—31no—
527C2×#67—31no—
528C2×#67—31no—
529C2×#67—31no—
530C2×#67—38no—
531C2×#67—31no—
532C2×#67—61no—
533C2×#67C2×C3×D311yescharacteristic
534C22×Dic3—31no—
535C22×Dic3—31no—
536C22×Dic3—31no—
537C22×Dic3—31no—
538C22×Dic3C2×C3×D311yescharacteristic, complemented
539D3×D4—38no—
540C2×D12—31no—
541C2×C4×D3—31no—
542C2×C4×D3—31no—
543C2×C4×D3—31no—
544C2×C4×D3—31no—
545C2×C4×D3—31no—
546C2×C4×D3—31no—
547C2×C4×D3—31no—
548C2×C4×D3—31no—
549C2×C4×D3—61no—
550C2×C4×D3C2×C3×D311yescharacteristic, complemented
551C3×C4⋊C4—31no—
552C3×C4⋊C4—31no—
553C3×C4⋊C4—61no—
554C3×C4⋊C4—91no—
555C3×C4⋊C4—91no—
556C3×C4⋊C4—91no—
557C3×C22⋊C4—31no—
558C3×C22⋊C4—31no—
559C3×C22⋊C4—31no—
560C3×C22⋊C4—31no—
561C3×C22⋊C4—31no—
562C3×C22⋊C4—31no—
563C3×C22⋊C4—31no—
564C3×C22⋊C4—31no—
565C3×C22⋊C4—31no—
566C3×C22⋊C4—31no—
567C3×C22⋊C4—31no—
568C3×C22⋊C4—31no—
569C3×C22⋊C4—61no—
570C3×C22⋊C4—61no—
571C3×C22⋊C4—61no—
572C3×C22⋊C4—61no—
573C3×C22⋊C4—61no—
574C3×C22⋊C4—61no—
575C3×C22⋊C4—91no—
576C3×C22⋊C4—91no—
577C3×C22⋊C4—91no—
578C3×C22⋊C4—91no—
579C3×C22⋊C4—91no—
580C3×C22⋊C4—91no—
581C3×C42—31no—
582C3×C42—31no—
583C3×C42—61no—
584C3×C42—91no—
585C3×C42—91no—
586C3×C42—91no—
587#217—31no—
588#217—31no—
589#217—31no—
590#217—31no—
591#217—31no—
592#217—61no—
593#217C2×C3×D311yescharacteristic, complemented
594(C2×D3)⋊C4—31no—
595(C2×D3)⋊C4—31no—
596(C2×D3)⋊C4—31no—
597(C2×D3)⋊C4—31no—
598(C2×D3)⋊C4—31no—
599(C2×D3)⋊C4—31no—
600(C2×D3)⋊C4—31no—
601(C2×D3)⋊C4—61no—
602(C2×D3)⋊C4C2×C3×D311yescharacteristic
603(C2×D3)⋊C4C2×C3×D311yescharacteristic
604(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
605(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
606(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
607C4⋊Dic3—31no—
608Dic3⋊C4—31no—
609Dic3⋊C4—31no—
610Dic3⋊C4—31no—
611Dic3⋊C4—31no—
612Dic3⋊C4—31no—
613Dic3⋊C4—61no—
614Dic3⋊C4C2×C3×D311yescharacteristic, complemented
615C4×Dic3—31no—
616C4×Dic3—31no—
617C4×Dic3—31no—
618C4×Dic3—31no—
619C4×Dic3—31no—
620C4×Dic3—31no—
621C4×Dic3—61no—
622C4×Dic3C2×C3×D311yescharacteristic, complemented
623C22×C32—21no—
624C22×C32—21no—
625C22×C32—22no—
626C22×C32—22no—
627C22×C32—21no—
628C22×C32—21no—
629C22×C32—21no—
630C22×C32—21no—
631C22×C32—21no—
632C22×C32—21no—
633C22×C32—21no—
634C22×C32—22no—
635C22×C32—22no—
636C22×C32—22no—
637C22×C32—32no—
638C22×C32—32no—
639C22×C32—32no—
640C22×C32—42no—
641C22×C32—41no—
642C22×C32—41no—
643C22×C32—41no—
644C22×C32—41no—
645C22×C32—41no—
646C22×C32—42no—
647C22×C32—42no—
648C22×C32—61no—
649C22×C32—61no—
650C22×C32—61no—
651C22×C32—61no—
652C22×C32—61no—
653C22×C32—61no—
654C22×C32—124no—
655C22×C32C2×C4×D312yes—
656C22×C32C2×C4×D312yes—
657C22×C32C22×C3×C412yes—
658C22×C32C23×D311yescharacteristic
659C22×C32C23×D311yescharacteristic
660C22×C32C24×C311yescharacteristic
661C2×C3⋊D3—21no—
662C2×C3⋊D3—21no—
663C2×C3⋊D3C22×C3×C412yes—
664C2×C3×D3—21no—
665C2×C3×D3—21no—
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—22no—
677C2×C3×D3—22no—
678C2×C3×D3—22no—
679C2×C3×D3—32no—
680C2×C3×D3—32no—
681C2×C3×D3—41no—
682C2×C3×D3—41no—
683C2×C3×D3—41no—
684C2×C3×D3—41no—
685C2×C3×D3—41no—
686C2×C3×D3—41no—
687C2×C3×D3—44no—
688C2×C3×D3—44no—
689C2×C3×D3—48no—
690C2×C3×D3—62no—
691C2×C3×D3—61no—
692C2×C3×D3—61no—
693C2×C3×D3—61no—
694C2×C3×D3—61no—
695C2×C3×D3—121no—
696C2×C3×D3—121no—
697C2×C3×D3—124no—
698C2×C3×D3—124no—
699C2×C3×D3C2×C4×D312yes—
700C2×C3×D3C2×C4×D312yes—
701C2×C3×D3C2×C4×D312yes—
702C2×C3×D3C22×C3×C412yes—
703C2×C3×D3C22×C3×C412yes—
704C2×C3×D3C22×C3×C412yes—
705D32—44no—
706C32×C4—21no—
707C32×C4—21no—
708C32×C4—22no—
709C32×C4—22no—
710C32×C4—21no—
711C32×C4—21no—
712C32×C4—21no—
713C32×C4—21no—
714C32×C4—32no—
715C32×C4—41no—
716C32×C4—41no—
717C32×C4—41no—
718C32×C4—41no—
719C32×C4—42no—
720C32×C4—42no—
721C32×C4—61no—
722C32×C4—61no—
723C32×C4—61no—
724C32×C4—61no—
725C3⋊Dic3—21no—
726C3⋊Dic3—21no—
727C3⋊Dic3C22×C3×C412yes—
728C3×Dic3—21no—
729C3×Dic3—21no—
730C3×Dic3—21no—
731C3×Dic3—21no—
732C3×Dic3—21no—
733C3×Dic3—21no—
734C3×Dic3—21no—
735C3×Dic3—21no—
736C3×Dic3—22no—
737C3×Dic3—32no—
738C3×Dic3—32no—
739C3×Dic3—41no—
740C3×Dic3—41no—
741C3×Dic3—41no—
742C3×Dic3—41no—
743C3×Dic3—62no—
744C3×Dic3—61no—
745C3×Dic3—61no—
746C3×Dic3—61no—
747C3×Dic3—61no—
748C3×Dic3—121no—
749C3×Dic3—121no—
750C3×Dic3C2×C4×D312yes—
751C3×Dic3C22×C3×C412yes—
752C22×D4—91no—
753C4×D4—31no—
754C4×D4—91no—
755C4×D4—91no—
756C4×D4—91no—
757C4×D4—91no—
758C4×D4—91no—
759C4×D4—91no—
760C4×D4—91no—
761#117—91no—
762#117—91no—
763C2×C22⋊C4—31no—
764C2×C22⋊C4—91no—
765C2×C22⋊C4—91no—
766C2×C22⋊C4—91no—
767C33#51811yescharacteristic, complemented, Sylow
768C23×C3—21no—
769C23×C3—21no—
770C23×C3—21no—
771C23×C3—31no—
772C23×C3—31no—
773C23×C3—31no—
774C23×C3—31no—
775C23×C3—31no—
776C23×C3—31no—
777C23×C3—34no—
778C23×C3—34no—
779C23×C3—41no—
780C23×C3—61no—
781C23×C3—61no—
782C23×C3—61no—
783C23×C3—64no—
784C23×C3—94no—
785C23×C3—91no—
786C23×C3—121no—
787C23×C3—121no—
788C23×C3—121no—
789C23×C3—121no—
790C23×C3—122no—
791C23×C3—122no—
792C23×C3—361no—
793C23×C3—361no—
794C23×C3C2×D3211yescharacteristic
795C23×C3C22×C3×D311yescharacteristic
796C23×C3C22×C3×D311yescharacteristic
797C22×D3—31no—
798C22×D3—31no—
799C22×D3—34no—
800C22×D3—34no—
801C22×D3—41no—
802C22×D3—41no—
803C22×D3—61no—
804C22×D3—121no—
805C22×D3—121no—
806C22×D3—121no—
807C22×D3—121no—
808C22×D3C3×C4×D314yescomplemented
809C22×D3C22×C3×D311yescharacteristic
810C22×D3C22×C3×D311yescharacteristic
811C22×D3C22×C3×D311yescharacteristic
812C3×D4—34no—
813C3×D4—34no—
814C3×D4—64no—
815C3×D4—94no—
816C3×D4—94no—
817C3×D4—94no—
818C2×C3×C4—21no—
819C2×C3×C4—21no—
820C2×C3×C4—21no—
821C2×C3×C4—21no—
822C2×C3×C4—21no—
823C2×C3×C4—21no—
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—31no—
832C2×C3×C4—31no—
833C2×C3×C4—31no—
834C2×C3×C4—41no—
835C2×C3×C4—41no—
836C2×C3×C4—41no—
837C2×C3×C4—42no—
838C2×C3×C4—42no—
839C2×C3×C4—42no—
840C2×C3×C4—44no—
841C2×C3×C4—41no—
842C2×C3×C4—41no—
843C2×C3×C4—61no—
844C2×C3×C4—61no—
845C2×C3×C4—61no—
846C2×C3×C4—61no—
847C2×C3×C4—61no—
848C2×C3×C4—94no—
849C2×C3×C4—91no—
850C2×C3×C4—91no—
851C2×C3×C4—91no—
852C2×C3×C4—121no—
853C2×C3×C4—121no—
854C2×C3×C4—122no—
855C2×C3×C4—121no—
856C2×C3×C4—121no—
857C2×C3×C4—122no—
858C2×C3×C4—361no—
859C2×C3×C4—361no—
860C2×C3×C4—361no—
861C2×C3×C4—361no—
862C2×C3×C4—361no—
863C2×C3×C4C2×D3211yescharacteristic
864C2×C3×C4C2×D3211yescharacteristic
865C2×C3×C4C22×C3×D311yescharacteristic
866C2×C3×C4C22×C3×D311yescharacteristic
867C2×C3×C4C22×C3×D311yescharacteristic
868C2×C3×C4C22×C3×D311yescharacteristic
869#67—34no—
870#67—34no—
871#67—34no—
872#67—34no—
873#67—34no—
874#67—64no—
875#67C3×C4×D314yescomplemented
876C2×Dic3—31no—
877C2×Dic3—31no—
878C2×Dic3—34no—
879C2×Dic3—31no—
880C2×Dic3—31no—
881C2×Dic3—31no—
882C2×Dic3—31no—
883C2×Dic3—41no—
884C2×Dic3—61no—
885C2×Dic3—61no—
886C2×Dic3—61no—
887C2×Dic3—121no—
888C2×Dic3—121no—
889C2×Dic3—121no—
890C2×Dic3C22×C3×D311yescharacteristic
891C2×Dic3C22×C3×D311yescharacteristic
892C2×Dic3C22×C3×D311yescharacteristic
893C2×Dic3C22×C3×D311yescharacteristic
894C2×Dic3C22×C3×D311yescharacteristic
895D12—34no—
896C4×D3—34no—
897C4×D3—41no—
898C4×D3—121no—
899C4×D3—121no—
900C4×D3—121no—
901C4×D3—121no—
902C4×D3—121no—
903C4×D3—121no—
904C4×D3—121no—
905C4×D3—122no—
906C2×C32—22no—
907C2×C32—24no—
908C2×C32—22no—
909C2×C32—22no—
910C2×C32—21no—
911C2×C32—21no—
912C2×C32—21no—
913C2×C32—21no—
914C2×C32—21no—
915C2×C32—21no—
916C2×C32—21no—
917C2×C32—21no—
918C2×C32—21no—
919C2×C32—41no—
920C2×C32—41no—
921C2×C32—41no—
922C2×C32—42no—
923C2×C32—42no—
924C2×C32—44no—
925C2×C32—62no—
926C2×C32—62no—
927C2×C32—62no—
928C2×C32C22×C4×D311yescharacteristic
929C2×C32C22×C4×D311yescharacteristic
930C2×C32#100411yescharacteristic
931C2×C32#100411yescharacteristic
932C2×C32#100411yescharacteristic
933C2×C32#100911yescharacteristic
934C2×C32C23×C3×C411yescharacteristic
935C2×C32C3×H(5,𝔽2)11yescharacteristic
936C2×C32C3×H(5,𝔽2)11yescharacteristic
937C3⋊D3—22no—
938C3×D3—22no—
939C3×D3—22no—
940C3×D3—22no—
941C3×D3—22no—
942C3×D3—22no—
943C3×D3—22no—
944C3×D3—42no—
945C3×D3—42no—
946C3×D3—42no—
947C3×D3—62no—
948C3×D3—62no—
949C3×D3—122no—
950C24—31no—
951C24—91no—
952C2×D4—31no—
953C2×D4—91no—
954C2×D4—98no—
955C2×D4—91no—
956C2×D4—91no—
957C22×C4—31no—
958C22×C4—31no—
959C22×C4—91no—
960C22×C4—91no—
961C22×C4—91no—
962C22×C4—91no—
963C22×C4—91no—
964C22×C4—91no—
965C22×C4C3×D3211yescharacteristic, complemented
966C4⋊C4—31no—
967C4⋊C4—91no—
968C4⋊C4—91no—
969C4⋊C4—91no—
970C22⋊C4—31no—
971C22⋊C4—31no—
972C22⋊C4—31no—
973C22⋊C4—31no—
974C22⋊C4—31no—
975C22⋊C4—31no—
976C22⋊C4—91no—
977C22⋊C4—91no—
978C22⋊C4—91no—
979C22⋊C4—91no—
980C22⋊C4—91no—
981C22⋊C4—91no—
982C42—31no—
983C42—91no—
984C42—91no—
985C42—91no—
986C22×C3—22no—
987C22×C3—22no—
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—21no—
997C22×C3—22no—
998C22×C3—22no—
999C22×C3—22no—
1000C22×C3—32no—
1001C22×C3—32no—
1002C22×C3—32no—
1003C22×C3—32no—
1004C22×C3—32no—
1005C22×C3—32no—
1006C22×C3—41no—
1007C22×C3—41no—
1008C22×C3—41no—
1009C22×C3—41no—
1010C22×C3—42no—
1011C22×C3—42no—
1012C22×C3—41no—
1013C22×C3—42no—
1014C22×C3—62no—
1015C22×C3—62no—
1016C22×C3—62no—
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—61no—
1027C22×C3—61no—
1028C22×C3—61no—
1029C22×C3—92no—
1030C22×C3—121no—
1031C22×C3—121no—
1032C22×C3—121no—
1033C22×C3—121no—
1034C22×C3—121no—
1035C22×C3—121no—
1036C22×C3—124no—
1037C22×C3—124no—
1038C22×C3—128no—
1039C22×C3—181no—
1040C22×C3—181no—
1041C22×C3—364no—
1042C22×C3C4×D3212yes—
1043C22×C3C2×C3×C4×D312yes—
1044C22×C3C2×C3×C4×D312yes—
1045C22×C3C22×D3211yescharacteristic
1046C22×C3C23×C3×D311yescharacteristic
1047C22×C3C23×C3×D311yescharacteristic
1048C2×D3—21no—
1049C2×D3—21no—
1050C2×D3—21no—
1051C2×D3—21no—
1052C2×D3—21no—
1053C2×D3—21no—
1054C2×D3—32no—
1055C2×D3—32no—
1056C2×D3—44no—
1057C2×D3—62no—
1058C2×D3—61no—
1059C2×D3—61no—
1060C2×D3—61no—
1061C2×D3—61no—
1062C2×D3—121no—
1063C2×D3—121no—
1064C2×D3—124no—
1065C2×D3—124no—
1066C2×D3C2×C3×C4×D312yes—
1067C2×D3C2×C3×C4×D312yes—
1068C2×D3C2×C3×C4×D312yes—
1069C3×C4—22no—
1070C3×C4—22no—
1071C3×C4—21no—
1072C3×C4—21no—
1073C3×C4—21no—
1074C3×C4—21no—
1075C3×C4—21no—
1076C3×C4—21no—
1077C3×C4—32no—
1078C3×C4—32no—
1079C3×C4—41no—
1080C3×C4—41no—
1081C3×C4—41no—
1082C3×C4—41no—
1083C3×C4—42no—
1084C3×C4—42no—
1085C3×C4—62no—
1086C3×C4—61no—
1087C3×C4—61no—
1088C3×C4—61no—
1089C3×C4—61no—
1090C3×C4—61no—
1091C3×C4—61no—
1092C3×C4—61no—
1093C3×C4—61no—
1094C3×C4—92no—
1095C3×C4—121no—
1096C3×C4—121no—
1097C3×C4—121no—
1098C3×C4—121no—
1099C3×C4—181no—
1100C3×C4—181no—
1101Dic3—21no—
1102Dic3—21no—
1103Dic3—21no—
1104Dic3—21no—
1105Dic3—32no—
1106Dic3—32no—
1107Dic3—62no—
1108Dic3—61no—
1109Dic3—61no—
1110Dic3—61no—
1111Dic3—61no—
1112Dic3—121no—
1113Dic3—121no—
1114Dic3C2×C3×C4×D312yes—
1115C32—21no—
1116C32—21no—
1117C32—21no—
1118C32—41no—
1119C32#548611yescharacteristic, complemented
1120C32#554511yescharacteristic, complemented
1121C32C3×#51811yescharacteristic, complemented
1122C23—31no—
1123C23—31no—
1124C23—31no—
1125C23—34no—
1126C23—94no—
1127C23—91no—
1128C23—121no—
1129C23—121no—
1130C23—361no—
1131C23—361no—
1132C23C2×C3×D3211yescharacteristic
1133D4—34no—
1134D4—94no—
1135D4—94no—
1136D4—94no—
1137C2×C4—31no—
1138C2×C4—31no—
1139C2×C4—31no—
1140C2×C4—31no—
1141C2×C4—31no—
1142C2×C4—41no—
1143C2×C4—94no—
1144C2×C4—91no—
1145C2×C4—91no—
1146C2×C4—91no—
1147C2×C4—121no—
1148C2×C4—121no—
1149C2×C4—361no—
1150C2×C4—361no—
1151C2×C4—361no—
1152C2×C4—361no—
1153C2×C4—361no—
1154C2×C4C2×C3×D3211yescharacteristic
1155C2×C4C2×C3×D3211yescharacteristic
1156C2×C3—24no—
1157C2×C3—22no—
1158C2×C3—22no—
1159C2×C3—22no—
1160C2×C3—21no—
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—42no—
1170C2×C3—42no—
1171C2×C3—44no—
1172C2×C3—41no—
1173C2×C3—41no—
1174C2×C3—41no—
1175C2×C3—62no—
1176C2×C3—62no—
1177C2×C3—62no—
1178C2×C3—62no—
1179C2×C3—62no—
1180C2×C3—62no—
1181C2×C3—122no—
1182C2×C3—122no—
1183C2×C3—122no—
1184C2×C3—182no—
1185C2×C3C2×C4×D3211yescharacteristic
1186C2×C3#6430711yescharacteristic
1187C2×C3#6433011yescharacteristic
1188C2×C3C22×C3×C4×D311yescharacteristic
1189C2×C3C22×C3×C4×D311yescharacteristic
1190C2×C3C3×#100411yescharacteristic
1191C2×C3C3×#100411yescharacteristic
1192C2×C3C3×#100411yescharacteristic
1193C2×C3C3×#100911yescharacteristic
1194D3—22no—
1195D3—22no—
1196D3—22no—
1197D3—62no—
1198D3—62no—
1199D3—122no—
1200C22—21no—
1201C22—21no—
1202C22—32no—
1203C22—32no—
1204C22—32no—
1205C22—61no—
1206C22—61no—
1207C22—61no—
1208C22—61no—
1209C22—61no—
1210C22—61no—
1211C22—92no—
1212C22—124no—
1213C22—181no—
1214C22—181no—
1215C22—364no—
1216C22C3×C4×D3212yes—
1217C22C22×C3×D3211yescharacteristic
1218C4—21no—
1219C4—21no—
1220C4—32no—
1221C4—61no—
1222C4—61no—
1223C4—61no—
1224C4—61no—
1225C4—92no—
1226C4—181no—
1227C4—181no—
1228C3—21no—
1229C3—21no—
1230C3—21no—
1231C3—41no—
1232C3#1059505611yescharacteristic, direct product factor
1233C3C3×#548611yescharacteristic, complemented
1234C3C3×#554511yescharacteristic, complemented
1235C2—22no—
1236C2—62no—
1237C2—62no—
1238C2—62no—
1239C2—182no—
1240C2C2×C3×C4×D3211yescharacteristic
1241C2C3×#6430711yescharacteristic
1242C2C3×#6433011yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutatorC2×C32C23×C3×C4
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
prime radicalC2×C3×D3×#67C2
cosocleC22×C32C24×C3
hypercenterC22×C3×C4D32
hypocenterC32C3×#518
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C3×C4×#638C2semidirect
3. C32×C4×#67C2semidirect
4. C2×C32×(C2×D3)⋊C4C2semidirect
5. C3×Dic3×#67C2semidirect
6. C3×D3×#217C2semidirect
7. C3×#63952C2semidirect
8. C3×#63921C2semidirect
9. C3×D3×(C2×D3)⋊C4C2semidirect
10. C3×#63902C2semidirect
11. C3×#63881C2semidirect
12. C3×#63880C2semidirect
13. C3×#63879C2semidirect
14. C3×#63878C2semidirect
15. C3×#63877C2semidirect
18. #10595056C3direct (N × H)
21. C22×C33×C4C22semidirect
23. C2×C3×C4×C3⋊D3C22semidirect
25. C22×C32×Dic3C22semidirect
26. C2×C32×C4×D3C22semidirect
27. C3×D3×#67C4semidirect
30. C2×C3×#624C22semidirect
32. C2×C3×D3×Dic3C22semidirect
33. C2×C3×D3×Dic3C22semidirect
34. C2×C3×D3×Dic3C22semidirect
35. C3×#3757C22semidirect
36. C3×#3752C22semidirect
37. C3×#3750C22semidirect
38. C3×C4×C3⋊Dic3C22semidirect
39. C32×#217C22semidirect
42. C32×(C2×D3)⋊C4C22semidirect
43. C32×(C2×D3)⋊C4C22semidirect
44. C32×(C2×D3)⋊C4C22semidirect
45. C32×Dic3⋊C4C22semidirect
46. C32×C4×Dic3C22semidirect
47. C3×#3724C22semidirect
48. C3×Dic3⋊Dic3C22semidirect
49. C3×#3722C22semidirect
52. C3×(C2×D3)⋊Dic3C22semidirect
53. C3×Dic32C22semidirect
54. C3×Dic32C22semidirect
60. C4×#638C2×C3semidirect
70. C3×C4×#67D3semidirect
71. C3×C4×#67C2×C3semidirect
74. C2×C3×(C2×D3)⋊C4D3semidirect
75. C2×C3×(C2×D3)⋊C4C2×C3semidirect
92. Dic3×#67C2×C3semidirect
93. D3×#217C2×C3semidirect
94. #63952C2×C3semidirect
95. #63921C2×C3semidirect
96. D3×(C2×D3)⋊C4C2×C3semidirect
97. #63902C2×C3semidirect
98. #63881C2×C3semidirect
99. #63880C2×C3semidirect
100. #63879C2×C3semidirect
101. #63878C2×C3semidirect
102. #63877C2×C3semidirect
107. C22×C32×D3C2×C4semidirect
113. C2×C3×D32C2×C4semidirect
117. C3×#638C2×C4semidirect
122. C32×#67C2×C4semidirect
130. C3×#626C2×C4semidirect
131. C3×#625C2×C4semidirect
136. C3×D3×Dic3C2×C4semidirect
154. C22×C32×C4C2×D3semidirect
155. C22×C32×C4C2×D3semidirect
156. C22×C32×C4C22×C3semidirect
158. C2×C4×C3⋊D3C22×C3semidirect
174. C22×C3×Dic3C2×D3semidirect
175. C22×C3×Dic3C22×C3semidirect
188. C2×C3×C4×D3C2×D3semidirect
189. C2×C3×C4×D3C22×C3semidirect
190. D3×#67C3×C4semidirect
193. C2×#624C22×C3semidirect
195. C2×D3×Dic3C22×C3semidirect
196. C2×D3×Dic3C22×C3semidirect
197. C2×D3×Dic3C22×C3semidirect
206. #3757C22×C3semidirect
207. #3752C22×C3semidirect
208. #3750C22×C3semidirect
209. C4×C3⋊Dic3C22×C3semidirect
217. C3×#217C2×D3semidirect
218. C3×#217C22×C3semidirect
234. C3×(C2×D3)⋊C4C2×D3semidirect
235. C3×(C2×D3)⋊C4C2×D3semidirect
236. C3×(C2×D3)⋊C4C2×D3semidirect
239. C3×(C2×D3)⋊C4C22×C3semidirect
240. C3×(C2×D3)⋊C4C22×C3semidirect
241. C3×(C2×D3)⋊C4C22×C3semidirect
250. C3×Dic3⋊C4C2×D3semidirect
251. C3×Dic3⋊C4C22×C3semidirect
260. C3×C4×Dic3C2×D3semidirect
261. C3×C4×Dic3C22×C3semidirect
262. #3724C22×C3semidirect
263. Dic3⋊Dic3C22×C3semidirect
264. #3722C22×C3semidirect
267. (C2×D3)⋊Dic3C22×C3semidirect
268. Dic32C22×C3semidirect
269. Dic32C22×C3semidirect
327. C4×#67C3×D3semidirect
329. C2×(C2×D3)⋊C4C3×D3semidirect
379. C22×C3×D3C4×D3semidirect
380. C22×C3×D3C2×C3×C4semidirect
389. C2×D32C2×C3×C4semidirect
419. #638C2×C3×C4semidirect
431. C3×#67C4×D3semidirect
432. C3×#67C2×C3×C4semidirect
477. #626C2×C3×C4semidirect
478. #625C2×C3×C4semidirect
483. D3×Dic3C2×C3×C4semidirect
523. C22×C3×C4D32semidirect
524. C22×C3×C4C2×C3×D3semidirect
525. C22×C3×C4C2×C3×D3semidirect
538. C22×Dic3C2×C3×D3semidirect
550. C2×C4×D3C2×C3×D3semidirect
593. #217C2×C3×D3semidirect
604. (C2×D3)⋊C4C2×C3×D3semidirect
605. (C2×D3)⋊C4C2×C3×D3semidirect
606. (C2×D3)⋊C4C2×C3×D3semidirect
614. Dic3⋊C4C2×C3×D3semidirect
622. C4×Dic3C2×C3×D3semidirect
767. C33#518semidirect
808. C22×D3C3×C4×D3semidirect
875. #67C3×C4×D3semidirect
965. C22×C4C3×D32semidirect
1119. C32#5486semidirect
1120. C32#5545semidirect
1121. C32C3×#518semidirect
1232. C3#10595056direct (N × H)
1233. C3C3×#5486semidirect
1234. C3C3×#5545semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×#672
C3×C4×#6382
C32×C4×#672
C2×C32×(C2×D3)⋊C42
C3×Dic3×#672
C3×D3×#2172
C3×#639522
C3×#639212
C3×D3×(C2×D3)⋊C42
C3×#639022
C3×#638812
C3×#638802
C3×#638792
C3×#638782
C3×#638772
C3×#55453
C3×#54863
#105950563