Finite Group Databasebeta

← C3×#10595065 #13174662

Subgroups — C3×#10595065 #13174662

Order 1728.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#235C211yesmaximal, characteristic, complemented
2C2×C3×D3×#67C211yesmaximal, characteristic, complemented
3C3×#64138C211yesmaximal, characteristic, complemented
4C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
5C3×#63978C211yesmaximal, characteristic, complemented
6C3×#63976C211yesmaximal, characteristic, complemented
7C3×Dic3×#67C211yesmaximal, characteristic, complemented
8C3×#63922C211yesmaximal, characteristic, complemented
9C3×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
10C3×#63907C211yesmaximal, characteristic, complemented
11C3×#63906C211yesmaximal, characteristic, complemented
12C3×#63905C211yesmaximal, characteristic, complemented
13C3×#63887C211yesmaximal, characteristic, complemented
14C3×#63885C211yesmaximal, characteristic, complemented
15C3×#63879C211yesmaximal, characteristic, complemented
16C3×#5829—31nomaximal
17C3×#5490—31nomaximal
18#10595065C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C22×C33×C4C2211yescharacteristic, complemented
22C2×C3×#638C2211yescharacteristic
23C2×C32×#67C2211yescharacteristic
24C2×C32×#67C2211yescharacteristic, complemented
25C22×C32×Dic3C2211yescharacteristic, complemented
26C32×#235—24no—
27C2×C32×D12C2211yescharacteristic, complemented
28C2×C32×C4×D3C2211yescharacteristic, complemented
29C2×C32×C4×D3C2211yescharacteristic, complemented
30C2×C32×Dic6C2211yescharacteristic, complemented
31C3×D3×#67—24no—
32C2×C3×#626C2211yescharacteristic
33C2×C3×#626C2211yescharacteristic, complemented
34C2×C3×#625C2211yescharacteristic
35C2×C3×#625C2211yescharacteristic
36C2×C3×#625C2211yescharacteristic, complemented
37C2×C3×D3×Dic3C2211yescharacteristic
38C2×C3×D3×Dic3C2211yescharacteristic, complemented
39C3×#3757C2211yescharacteristic, complemented
40C3×#3752C2211yescharacteristic, complemented
41C3×#3752C2211yescharacteristic, complemented
42C3×#3750C2211yescharacteristic, complemented
43C3×#3750C2211yescharacteristic, complemented
44C32×(C2×D3)⋊C4C2211yescharacteristic
45C32×(C2×D3)⋊C4C2211yescharacteristic
46C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
48C3×Dic3⋊Dic3C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic, complemented
51C3×(C2×D3)⋊Dic3C2211yescharacteristic
52C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
53C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C2×C32×#41—31no—
57C22×C3×#67—31no—
58C2×C3×D3×D4—31no—
59C2×C3×#235—21no—
60C2×C3×#235D311yescharacteristic, complemented
61C2×C3×#235C2×C311yescharacteristic, complemented
62C2×D3×#67C2×C311yescharacteristic, complemented
63C2×C32×C22⋊C4—31no—
64#64138C2×C311yescharacteristic, complemented
65C3×#953—31no—
66C3×#947—31no—
67C3×#946—31no—
68C3×#939—31no—
69C3×#939—31no—
70C3×#937—31no—
71C3×#937—31no—
72C3×D4×Dic3—31no—
73C3×#930—31no—
74C3×#930—31no—
75C3×#929—31no—
76C3×#929—31no—
77C3×#929—31no—
78C3×#929—61no—
79C3×C4×#67—31no—
80C3×C4×#67—31no—
81C2×C3×(C2×D3)⋊C4—21no—
82C2×C3×(C2×D3)⋊C4—31no—
83C2×C3×(C2×D3)⋊C4D311yescharacteristic, complemented
84C2×C3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
85C3×#885—31no—
86C3×#884—31no—
87C3×#884—31no—
88C3×#883—31no—
89C3×#882—31no—
90C3×#67⋊C4—31no—
91C3×D3×C22⋊C4—31no—
92C3×#878—31no—
93#63978C2×C311yescharacteristic, complemented
94#63976C2×C311yescharacteristic, complemented
95Dic3×#67C2×C311yescharacteristic, complemented
96#63922C2×C311yescharacteristic, complemented
97D3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
98#63907C2×C311yescharacteristic, complemented
99#63906C2×C311yescharacteristic, complemented
100#63905C2×C311yescharacteristic, complemented
101#63887C2×C311yescharacteristic, complemented
102#63885C2×C311yescharacteristic, complemented
103#63879C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C22×C3×C3⋊D3C2311yescharacteristic
106C22×C32×D3—22no—
107C22×C32×D3—22no—
108C22×C32×D3—41no—
109C22×C32×D3C2311yescharacteristic
110C22×C32×D3C2311yescharacteristic
111C22×C32×D3C2311yescharacteristic
112C22×C32×D3C2311yescharacteristic
113C2×C3×D32—22no—
114C2×C3×D32—22no—
115C2×C3×D32—41no—
116C2×C33×C4—22no—
117C2×C33×C4C2311yescharacteristic
118C2×C33×C4C2311yescharacteristic
119C3×#638—22no—
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C2×C3×C3⋊Dic3C2311yescharacteristic
123C32×#67—22no—
124C32×#67D414yescomplemented
125C2×C32×Dic3—41no—
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C2×C32×Dic3C2311yescharacteristic
130C32×D12—22no—
131C32×C4×D3—22no—
132C32×C4×D3—22no—
133C32×Dic6—22no—
134C3×#626—22no—
135C3×#626—41no—
136C3×#625—22no—
137C3×#625—22no—
138C3×#625—41no—
139C3×D3×Dic3—22no—
140C3×D3×Dic3—41no—
141C3×#546—91no—
142#5829—31no—
143#5490—31no—
144C24×C32—31no—
145C23×C3×D3—21no—
146C23×C3×D3—31no—
147C23×C3×D3—31no—
148C23×C3×D3C2×D311yescharacteristic
149C23×C3×D3C22×C311yescharacteristic
150C22×D32C22×C311yescharacteristic
151C32×#41—64no—
152C2×C32×Q8—31no—
153C2×C32×D4—31no—
154C2×C32×D4—31no—
155C2×C32×D4—31no—
156C22×C32×C4—21no—
157C22×C32×C4—21no—
158C22×C32×C4—21no—
159C22×C32×C4—31no—
160C22×C32×C4—31no—
161C22×C32×C4—31no—
162C22×C32×C4—41no—
163C22×C32×C4C2×D311yescharacteristic, complemented
164C22×C32×C4C2×D311yescharacteristic, complemented
165C22×C32×C4C22×C311yescharacteristic, complemented
166C2×#638C22×C311yescharacteristic
167C2×C3×#67—21no—
168C2×C3×#67—21no—
169C2×C3×#67—31no—
170C2×C3×#67—31no—
171C2×C3×#67—31no—
172C2×C3×#67—31no—
173C2×C3×#67—31no—
174C2×C3×#67—31no—
175C2×C3×#67—31no—
176C2×C3×#67—31no—
177C2×C3×#67—31no—
178C2×C3×#67—31no—
179C2×C3×#67—64no—
180C2×C3×#67—61no—
181C2×C3×#67C2×D311yescharacteristic
182C2×C3×#67C2×D311yescharacteristic, complemented
183C2×C3×#67C22×C311yescharacteristic
184C2×C3×#67C22×C311yescharacteristic, complemented
185C22×C3×Dic3—21no—
186C22×C3×Dic3—31no—
187C22×C3×Dic3—31no—
188C22×C3×Dic3C2×D311yescharacteristic, complemented
189C22×C3×Dic3C22×C311yescharacteristic, complemented
190C3×D3×D4—64no—
191C3×#235—28no—
192C3×#235—24no—
193C3×#235—24no—
194C2×C3×D12—21no—
195C2×C3×D12—31no—
196C2×C3×D12—31no—
197C2×C3×D12C2×D311yescharacteristic, complemented
198C2×C3×D12C22×C311yescharacteristic, complemented
199C2×C3×C4×D3—21no—
200C2×C3×C4×D3—21no—
201C2×C3×C4×D3—31no—
202C2×C3×C4×D3—31no—
203C2×C3×C4×D3C2×D311yescharacteristic, complemented
204C2×C3×C4×D3C2×D311yescharacteristic, complemented
205C2×C3×C4×D3C22×C311yescharacteristic, complemented
206C2×C3×C4×D3C22×C311yescharacteristic, complemented
207C2×C3×Dic6—21no—
208C2×C3×Dic6C2×D311yescharacteristic, complemented
209C2×C3×Dic6C22×C311yescharacteristic, complemented
210D3×#67—24no—
211C2×#626C22×C311yescharacteristic
212C2×#626C22×C311yescharacteristic, complemented
213C2×#625C22×C311yescharacteristic
214C2×#625C22×C311yescharacteristic
215C2×#625C22×C311yescharacteristic, complemented
216C2×D3×Dic3C22×C311yescharacteristic
217C2×D3×Dic3C22×C311yescharacteristic, complemented
218C32×C22⋊C4—31no—
219C32×C22⋊C4—31no—
220C32×C22⋊C4—31no—
221C32×C22⋊C4—31no—
222#3757C22×C311yescharacteristic, complemented
223#3752C22×C311yescharacteristic, complemented
224#3752C22×C311yescharacteristic, complemented
225#3750C22×C311yescharacteristic, complemented
226#3750C22×C311yescharacteristic, complemented
227C3×#217—31no—
228C3×#217—31no—
229C3×#217—31no—
230C3×#217—31no—
231C3×#217—31no—
232C3×#217—31no—
233C3×#217—61no—
234C3×(C2×D3)⋊C4—21no—
235C3×(C2×D3)⋊C4—21no—
236C3×(C2×D3)⋊C4—21no—
237C3×(C2×D3)⋊C4—21no—
238C3×(C2×D3)⋊C4—31no—
239C3×(C2×D3)⋊C4—31no—
240C3×(C2×D3)⋊C4—31no—
241C3×(C2×D3)⋊C4—31no—
242C3×(C2×D3)⋊C4—31no—
243C3×(C2×D3)⋊C4—31no—
244C3×(C2×D3)⋊C4—31no—
245C3×(C2×D3)⋊C4—31no—
246C3×(C2×D3)⋊C4—31no—
247C3×(C2×D3)⋊C4—31no—
248C3×(C2×D3)⋊C4—61no—
249C3×(C2×D3)⋊C4—61no—
250C3×(C2×D3)⋊C4C2×D311yescharacteristic
251C3×(C2×D3)⋊C4C2×D311yescharacteristic
252C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
253C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
254C3×(C2×D3)⋊C4C22×C311yescharacteristic
255C3×(C2×D3)⋊C4C22×C311yescharacteristic
256C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
257C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
258C3×C4⋊Dic3—31no—
259C3×C4⋊Dic3—31no—
260C3×Dic3⋊C4—31no—
261C3×Dic3⋊C4—31no—
262C3×Dic3⋊C4—31no—
263C3×Dic3⋊C4—31no—
264C3×Dic3⋊C4—31no—
265C3×Dic3⋊C4—31no—
266C3×Dic3⋊C4—61no—
267C3×Dic3⋊C4—61no—
268C3×C4×Dic3—31no—
269C3×C4×Dic3—31no—
270Dic3⋊Dic3C22×C311yescharacteristic, complemented
271Dic3⋊Dic3C22×C311yescharacteristic, complemented
272#3722C22×C311yescharacteristic, complemented
273(C2×D3)⋊Dic3C22×C311yescharacteristic
274(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
275(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
276(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
277Dic32C22×C311yescharacteristic, complemented
278C22×C33—21no—
279C22×C33—21no—
280C22×C33C2×D412yes—
281C22×C33C2411yescharacteristic
282C2×C3×C3⋊D3—21no—
283C2×C3×C3⋊D3—21no—
284C2×C3×C3⋊D3—21no—
285C2×C32×D3—21no—
286C2×C32×D3—21no—
287C2×C32×D3—21no—
288C2×C32×D3—21no—
289C2×C32×D3—21no—
290C2×C32×D3—21no—
291C2×C32×D3—21no—
292C2×C32×D3—21no—
293C2×C32×D3—21no—
294C2×C32×D3—21no—
295C2×C32×D3—44no—
296C2×C32×D3C2×D412yes—
297C2×C32×D3#4112yescomplemented
298C3×D32—44no—
299C33×C4—21no—
300C33×C4—21no—
301C3×C3⋊Dic3—21no—
302C3×C3⋊Dic3—21no—
303C3×C3⋊Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3—21no—
307C32×Dic3C2×D412yes—
308C2×C3×#41—31no—
309C2×C3×#41—31no—
310C2×C3×#41—61no—
311C22×C3×D4—91no—
312C22×#67—31no—
313C2×D3×D4—31no—
314C2×#235C3×D311yescharacteristic, complemented
315C3×#124—91no—
316C3×#123—91no—
317C3×#123—91no—
318C3×C22⋊Q8—91no—
319C3×#121—91no—
320C3×#121—91no—
321C3×#121—91no—
322C3×#120—91no—
323C3×#120—91no—
324C3×C4×D4—91no—
325C3×C4×D4—91no—
326C2×C3×C22⋊C4—31no—
327C2×C3×C22⋊C4—31no—
328C2×C3×C22⋊C4—61no—
329C2×C3×C22⋊C4—91no—
330#953—31no—
331#947—31no—
332#946—31no—
333#939—31no—
334#939—31no—
335#937—31no—
336#937—31no—
337D4×Dic3—31no—
338#930—31no—
339#930—31no—
340#929—31no—
341#929—31no—
342#929—31no—
343#929—61no—
344C4×#67—31no—
345C4×#67—31no—
346C2×(C2×D3)⋊C4—31no—
347C2×(C2×D3)⋊C4C3×D311yescharacteristic, complemented
348#885—31no—
349#884—31no—
350#884—31no—
351#883—31no—
352#882—31no—
353#67⋊C4—31no—
354D3×C22⋊C4—31no—
355#878—31no—
356C23×C32—21no—
357C23×C32—21no—
358C23×C32—21no—
359C23×C32—31no—
360C23×C32—31no—
361C23×C32—31no—
362C23×C32—31no—
363C23×C32—41no—
364C23×C32—62no—
365C23×C32—62no—
366C23×C32—121no—
367C23×C32C22×D311yescharacteristic
368C23×C32C22×D311yescharacteristic
369C23×C32C23×C311yescharacteristic
370C22×C3⋊D3C23×C311yescharacteristic
371C22×C3×D3—24no—
372C22×C3×D3—22no—
373C22×C3×D3—22no—
374C22×C3×D3—22no—
375C22×C3×D3—22no—
376C22×C3×D3—21no—
377C22×C3×D3—21no—
378C22×C3×D3—21no—
379C22×C3×D3—21no—
380C22×C3×D3—31no—
381C22×C3×D3—31no—
382C22×C3×D3—42no—
383C22×C3×D3—41no—
384C22×C3×D3—41no—
385C22×C3×D3—42no—
386C22×C3×D3—61no—
387C22×C3×D3—62no—
388C22×C3×D3—62no—
389C22×C3×D3—62no—
390C22×C3×D3—62no—
391C22×C3×D3—121no—
392C22×C3×D3—121no—
393C22×C3×D3C22×D311yescharacteristic
394C22×C3×D3C22×D311yescharacteristic
395C22×C3×D3C22×D311yescharacteristic
396C22×C3×D3C22×D311yescharacteristic
397C22×C3×D3C23×C311yescharacteristic
398C22×C3×D3C23×C311yescharacteristic
399C22×C3×D3C23×C311yescharacteristic
400C22×C3×D3C23×C311yescharacteristic
401C2×D32—22no—
402C2×D32—22no—
403C2×D32—41no—
404C32×Q8—62no—
405C32×D4—34no—
406C32×D4—62no—
407C32×D4—62no—
408C2×C32×C4—22no—
409C2×C32×C4—24no—
410C2×C32×C4—22no—
411C2×C32×C4—22no—
412C2×C32×C4—21no—
413C2×C32×C4—21no—
414C2×C32×C4—21no—
415C2×C32×C4—21no—
416C2×C32×C4—21no—
417C2×C32×C4—21no—
418C2×C32×C4—31no—
419C2×C32×C4—31no—
420C2×C32×C4—31no—
421C2×C32×C4—31no—
422C2×C32×C4—41no—
423C2×C32×C4—41no—
424C2×C32×C4—42no—
425C2×C32×C4—42no—
426C2×C32×C4—44no—
427C2×C32×C4—62no—
428C2×C32×C4—62no—
429C2×C32×C4—121no—
430C2×C32×C4C22×D311yescharacteristic
431C2×C32×C4C22×D311yescharacteristic
432C2×C32×C4C22×D311yescharacteristic
433C2×C32×C4C22×D311yescharacteristic
434C2×C32×C4C23×C311yescharacteristic
435C2×C32×C4C23×C311yescharacteristic
436#638—22no—
437C2×C3⋊Dic3C23×C311yescharacteristic
438C2×C3⋊Dic3C23×C311yescharacteristic
439C2×C3⋊Dic3C23×C311yescharacteristic
440C3×#67—24no—
441C3×#67—22no—
442C3×#67—22no—
443C3×#67—24no—
444C3×#67—62no—
445C3×#67—62no—
446C3×#67—62no—
447C3×#67—62no—
448C3×#67—62no—
449C3×#67—62no—
450C3×#67—62no—
451C3×#67—122no—
452C3×#67—121no—
453C3×#67—121no—
454C3×#67—121no—
455C3×#67#6714yescomplemented
456C3×#67C3×D414yescomplemented
457C2×C3×Dic3—21no—
458C2×C3×Dic3—21no—
459C2×C3×Dic3—21no—
460C2×C3×Dic3—21no—
461C2×C3×Dic3—31no—
462C2×C3×Dic3—31no—
463C2×C3×Dic3—31no—
464C2×C3×Dic3—31no—
465C2×C3×Dic3—31no—
466C2×C3×Dic3—31no—
467C2×C3×Dic3—41no—
468C2×C3×Dic3—41no—
469C2×C3×Dic3—42no—
470C2×C3×Dic3—61no—
471C2×C3×Dic3—61no—
472C2×C3×Dic3—61no—
473C2×C3×Dic3—62no—
474C2×C3×Dic3—121no—
475C2×C3×Dic3C22×D311yescharacteristic
476C2×C3×Dic3C22×D311yescharacteristic
477C2×C3×Dic3C22×D311yescharacteristic
478C2×C3×Dic3C22×D311yescharacteristic
479C2×C3×Dic3C23×C311yescharacteristic
480C2×C3×Dic3C23×C311yescharacteristic
481C2×C3×Dic3C23×C311yescharacteristic
482C2×C3×Dic3C23×C311yescharacteristic
483C3×D12—24no—
484C3×D12—22no—
485C3×D12—22no—
486C3×D12—62no—
487C3×D12—121no—
488C3×C4×D3—24no—
489C3×C4×D3—24no—
490C3×C4×D3—22no—
491C3×C4×D3—22no—
492C3×C4×D3—22no—
493C3×C4×D3—22no—
494C3×C4×D3—62no—
495C3×C4×D3—121no—
496C3×Dic6—24no—
497C3×Dic6—22no—
498C3×Dic6—22no—
499#626—22no—
500#626—41no—
501#625—22no—
502#625—22no—
503#625—41no—
504D3×Dic3—22no—
505D3×Dic3—41no—
506#546—91noSylow
507C2×C33—22no—
508C2×C33C22×D411yescharacteristic
509C2×C33C2×#4111yescharacteristic
510C2×C33H(5,𝔽2)11yescharacteristic
511C3×C3⋊D3—41no—
512C32×D3—22no—
513C32×D3—22no—
514C32×D3—41no—
515C32×D3—41no—
516C24×C3—31no—
517C24×C3—31no—
518C24×C3—61no—
519C24×C3—91no—
520C23×D3—31no—
521C23×D3—31no—
522C23×D3C2×C3×D311yescharacteristic
523C3×#41—64no—
524C3×#41—64no—
525C3×#41—68no—
526C2×C3×Q8—31no—
527C2×C3×Q8—31no—
528C2×C3×Q8—61no—
529C2×C3×D4—31no—
530C2×C3×D4—31no—
531C2×C3×D4—31no—
532C2×C3×D4—31no—
533C2×C3×D4—31no—
534C2×C3×D4—31no—
535C2×C3×D4—61no—
536C2×C3×D4—61no—
537C2×C3×D4—61no—
538C2×C3×D4—91no—
539C2×C3×D4—91no—
540C2×C3×D4—91no—
541C2×C3×D4—91no—
542C2×C3×D4—91no—
543C2×C3×D4—91no—
544C2×C3×D4—184no—
545C22×C3×C4—21no—
546C22×C3×C4—21no—
547C22×C3×C4—21no—
548C22×C3×C4—31no—
549C22×C3×C4—31no—
550C22×C3×C4—31no—
551C22×C3×C4—31no—
552C22×C3×C4—31no—
553C22×C3×C4—31no—
554C22×C3×C4—41no—
555C22×C3×C4—61no—
556C22×C3×C4—61no—
557C22×C3×C4—61no—
558C22×C3×C4—91no—
559C22×C3×C4—91no—
560C22×C3×C4D3211yescharacteristic, complemented
561C22×C3×C4C2×C3×D311yescharacteristic, complemented
562C22×C3×C4C2×C3×D311yescharacteristic, complemented
563C2×#67—31no—
564C2×#67—31no—
565C2×#67—31no—
566C2×#67—31no—
567C2×#67—31no—
568C2×#67—31no—
569C2×#67—31no—
570C2×#67—31no—
571C2×#67—31no—
572C2×#67—31no—
573C2×#67—61no—
574C2×#67—64no—
575C2×#67C2×C3×D311yescharacteristic
576C2×#67C2×C3×D311yescharacteristic, complemented
577C22×Dic3—31no—
578C22×Dic3—31no—
579C22×Dic3C2×C3×D311yescharacteristic, complemented
580D3×D4—64no—
581#235—24no—
582C2×D12—31no—
583C2×D12—31no—
584C2×D12C2×C3×D311yescharacteristic, complemented
585C2×C4×D3—31no—
586C2×C4×D3—31no—
587C2×C4×D3C2×C3×D311yescharacteristic, complemented
588C2×C4×D3C2×C3×D311yescharacteristic, complemented
589C2×Dic6C2×C3×D311yescharacteristic, complemented
590C3×C4⋊C4—91no—
591C3×C4⋊C4—91no—
592C3×C4⋊C4—91no—
593C3×C4⋊C4—91no—
594C3×C22⋊C4—31no—
595C3×C22⋊C4—31no—
596C3×C22⋊C4—31no—
597C3×C22⋊C4—31no—
598C3×C22⋊C4—31no—
599C3×C22⋊C4—31no—
600C3×C22⋊C4—31no—
601C3×C22⋊C4—31no—
602C3×C22⋊C4—61no—
603C3×C22⋊C4—61no—
604C3×C22⋊C4—61no—
605C3×C22⋊C4—61no—
606C3×C22⋊C4—91no—
607C3×C22⋊C4—91no—
608C3×C22⋊C4—91no—
609C3×C22⋊C4—91no—
610C3×C22⋊C4—91no—
611C3×C22⋊C4—91no—
612C3×C22⋊C4—91no—
613C3×C22⋊C4—91no—
614C3×C42—91no—
615#217—31no—
616#217—31no—
617#217—31no—
618#217—31no—
619#217—31no—
620#217—31no—
621#217—61no—
622(C2×D3)⋊C4—31no—
623(C2×D3)⋊C4—31no—
624(C2×D3)⋊C4—31no—
625(C2×D3)⋊C4—31no—
626(C2×D3)⋊C4—31no—
627(C2×D3)⋊C4—31no—
628(C2×D3)⋊C4—31no—
629(C2×D3)⋊C4—31no—
630(C2×D3)⋊C4—31no—
631(C2×D3)⋊C4—31no—
632(C2×D3)⋊C4—61no—
633(C2×D3)⋊C4—61no—
634(C2×D3)⋊C4C2×C3×D311yescharacteristic
635(C2×D3)⋊C4C2×C3×D311yescharacteristic
636(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
637(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
638C4⋊Dic3—31no—
639C4⋊Dic3—31no—
640Dic3⋊C4—31no—
641Dic3⋊C4—31no—
642Dic3⋊C4—31no—
643Dic3⋊C4—31no—
644Dic3⋊C4—31no—
645Dic3⋊C4—31no—
646Dic3⋊C4—61no—
647Dic3⋊C4—61no—
648C4×Dic3—31no—
649C4×Dic3—31no—
650C22×C32—21no—
651C22×C32—21no—
652C22×C32—22no—
653C22×C32—22no—
654C22×C32—21no—
655C22×C32—21no—
656C22×C32—21no—
657C22×C32—21no—
658C22×C32—21no—
659C22×C32—21no—
660C22×C32—21no—
661C22×C32—22no—
662C22×C32—22no—
663C22×C32—22no—
664C22×C32—32no—
665C22×C32—32no—
666C22×C32—42no—
667C22×C32—41no—
668C22×C32—41no—
669C22×C32—41no—
670C22×C32—41no—
671C22×C32—41no—
672C22×C32—42no—
673C22×C32—42no—
674C22×C32—61no—
675C22×C32—61no—
676C22×C32—61no—
677C22×C32—61no—
678C22×C32—61no—
679C22×C32—61no—
680C22×C32—61no—
681C22×C32—61no—
682C22×C32—61no—
683C22×C32—61no—
684C22×C32—124no—
685C22×C32D3×D412yes—
686C22×C32C2×#6712yes—
687C22×C32C2×C3×D412yes—
688C22×C32C23×D311yescharacteristic
689C22×C32C23×D311yescharacteristic
690C22×C32C24×C311yescharacteristic
691C2×C3⋊D3—21no—
692C2×C3⋊D3—21no—
693C2×C3⋊D3—21no—
694C2×C3×D3—21no—
695C2×C3×D3—21no—
696C2×C3×D3—21no—
697C2×C3×D3—21no—
698C2×C3×D3—21no—
699C2×C3×D3—21no—
700C2×C3×D3—21no—
701C2×C3×D3—21no—
702C2×C3×D3—22no—
703C2×C3×D3—22no—
704C2×C3×D3—21no—
705C2×C3×D3—21no—
706C2×C3×D3—21no—
707C2×C3×D3—21no—
708C2×C3×D3—21no—
709C2×C3×D3—21no—
710C2×C3×D3—21no—
711C2×C3×D3—21no—
712C2×C3×D3—21no—
713C2×C3×D3—21no—
714C2×C3×D3—21no—
715C2×C3×D3—21no—
716C2×C3×D3—22no—
717C2×C3×D3—22no—
718C2×C3×D3—41no—
719C2×C3×D3—41no—
720C2×C3×D3—41no—
721C2×C3×D3—41no—
722C2×C3×D3—41no—
723C2×C3×D3—41no—
724C2×C3×D3—41no—
725C2×C3×D3—41no—
726C2×C3×D3—44no—
727C2×C3×D3—44no—
728C2×C3×D3—48no—
729C2×C3×D3—61no—
730C2×C3×D3—61no—
731C2×C3×D3—61no—
732C2×C3×D3—61no—
733C2×C3×D3—61no—
734C2×C3×D3—61no—
735C2×C3×D3—121no—
736C2×C3×D3—121no—
737C2×C3×D3—121no—
738C2×C3×D3—124no—
739C2×C3×D3—124no—
740C2×C3×D3#23512yescomplemented
741C2×C3×D3C2×#6712yes—
742C2×C3×D3C2×C3×D412yes—
743C2×C3×D3C3×#4112yescomplemented
744D32—44no—
745C32×C4—21no—
746C32×C4—21no—
747C32×C4—22no—
748C32×C4—22no—
749C32×C4—21no—
750C32×C4—21no—
751C32×C4—21no—
752C32×C4—21no—
753C32×C4—32no—
754C32×C4—41no—
755C32×C4—41no—
756C32×C4—41no—
757C32×C4—41no—
758C32×C4—42no—
759C32×C4—42no—
760C32×C4—61no—
761C32×C4—61no—
762C32×C4—61no—
763C3⋊Dic3—21no—
764C3⋊Dic3—21no—
765C3⋊Dic3—21no—
766C3×Dic3—22no—
767C3×Dic3—21no—
768C3×Dic3—21no—
769C3×Dic3—21no—
770C3×Dic3—21no—
771C3×Dic3—21no—
772C3×Dic3—21no—
773C3×Dic3—22no—
774C3×Dic3—41no—
775C3×Dic3—41no—
776C3×Dic3—61no—
777C3×Dic3—61no—
778C3×Dic3—61no—
779C3×Dic3—61no—
780C3×Dic3—61no—
781C3×Dic3—61no—
782C3×Dic3—121no—
783C3×Dic3—121no—
784C3×Dic3—121no—
785C3×Dic3C2×#6712yes—
786C3×Dic3C2×C3×D412yes—
787C2×#41—31no—
788C22×D4—91no—
789#124—91no—
790#123—91no—
791#123—91no—
792C22⋊Q8—91no—
793#121—91no—
794#121—91no—
795#121—91no—
796#120—91no—
797#120—91no—
798C4×D4—91no—
799C4×D4—91no—
800C2×C22⋊C4—31no—
801C2×C22⋊C4—91no—
802C33#54611yescharacteristic, complemented, Sylow
803C23×C3—21no—
804C23×C3—21no—
805C23×C3—21no—
806C23×C3—31no—
807C23×C3—31no—
808C23×C3—31no—
809C23×C3—31no—
810C23×C3—31no—
811C23×C3—31no—
812C23×C3—31no—
813C23×C3—31no—
814C23×C3—41no—
815C23×C3—61no—
816C23×C3—61no—
817C23×C3—61no—
818C23×C3—61no—
819C23×C3—62no—
820C23×C3—62no—
821C23×C3—64no—
822C23×C3—62no—
823C23×C3—62no—
824C23×C3—91no—
825C23×C3—122no—
826C23×C3—121no—
827C23×C3—121no—
828C23×C3—122no—
829C23×C3—182no—
830C23×C3—182no—
831C23×C3—361no—
832C23×C3C2×D3211yescharacteristic
833C23×C3C22×C3×D311yescharacteristic
834C23×C3C22×C3×D311yescharacteristic
835C22×D3—22no—
836C22×D3—22no—
837C22×D3—31no—
838C22×D3—31no—
839C22×D3—41no—
840C22×D3—61no—
841C22×D3—62no—
842C22×D3—62no—
843C22×D3—62no—
844C22×D3—62no—
845C22×D3—121no—
846C22×D3—121no—
847C22×D3C22×C3×D311yescharacteristic
848C22×D3C22×C3×D311yescharacteristic
849C22×D3C22×C3×D311yescharacteristic
850C22×D3C22×C3×D311yescharacteristic
851C3×Q8—62no—
852C3×Q8—62no—
853C3×Q8—64no—
854C3×D4—34no—
855C3×D4—34no—
856C3×D4—64no—
857C3×D4—62no—
858C3×D4—62no—
859C3×D4—64no—
860C3×D4—64no—
861C3×D4—62no—
862C3×D4—62no—
863C3×D4—182no—
864C3×D4—182no—
865C3×D4—182no—
866C3×D4—182no—
867C3×D4—361no—
868C3×D4—361no—
869C2×C3×C4—24no—
870C2×C3×C4—22no—
871C2×C3×C4—22no—
872C2×C3×C4—22no—
873C2×C3×C4—21no—
874C2×C3×C4—21no—
875C2×C3×C4—21no—
876C2×C3×C4—21no—
877C2×C3×C4—21no—
878C2×C3×C4—21no—
879C2×C3×C4—31no—
880C2×C3×C4—31no—
881C2×C3×C4—31no—
882C2×C3×C4—31no—
883C2×C3×C4—31no—
884C2×C3×C4—31no—
885C2×C3×C4—31no—
886C2×C3×C4—31no—
887C2×C3×C4—42no—
888C2×C3×C4—42no—
889C2×C3×C4—44no—
890C2×C3×C4—41no—
891C2×C3×C4—41no—
892C2×C3×C4—61no—
893C2×C3×C4—61no—
894C2×C3×C4—61no—
895C2×C3×C4—61no—
896C2×C3×C4—62no—
897C2×C3×C4—62no—
898C2×C3×C4—62no—
899C2×C3×C4—62no—
900C2×C3×C4—64no—
901C2×C3×C4—64no—
902C2×C3×C4—91no—
903C2×C3×C4—91no—
904C2×C3×C4—91no—
905C2×C3×C4—121no—
906C2×C3×C4—121no—
907C2×C3×C4—122no—
908C2×C3×C4—182no—
909C2×C3×C4—361no—
910C2×C3×C4C2×D3211yescharacteristic
911C2×C3×C4C2×D3211yescharacteristic
912C2×C3×C4C22×C3×D311yescharacteristic
913C2×C3×C4C22×C3×D311yescharacteristic
914C2×C3×C4C22×C3×D311yescharacteristic
915C2×C3×C4C22×C3×D311yescharacteristic
916#67—22no—
917#67—62no—
918#67—62no—
919#67—62no—
920#67—62no—
921#67—62no—
922#67—62no—
923#67—62no—
924#67—122no—
925#67—121no—
926#67—121no—
927#67—121no—
928#67C3×#6714yescomplemented
929C2×Dic3—31no—
930C2×Dic3—31no—
931C2×Dic3—31no—
932C2×Dic3—31no—
933C2×Dic3—31no—
934C2×Dic3—31no—
935C2×Dic3—41no—
936C2×Dic3—61no—
937C2×Dic3—61no—
938C2×Dic3—61no—
939C2×Dic3—62no—
940C2×Dic3—121no—
941C2×Dic3C22×C3×D311yescharacteristic
942C2×Dic3C22×C3×D311yescharacteristic
943C2×Dic3C22×C3×D311yescharacteristic
944C2×Dic3C22×C3×D311yescharacteristic
945D12—22no—
946D12—62no—
947D12—121no—
948C4×D3—22no—
949C4×D3—22no—
950C4×D3—62no—
951C4×D3—121no—
952Dic6—22no—
953C2×C32—22no—
954C2×C32—24no—
955C2×C32—22no—
956C2×C32—22no—
957C2×C32—21no—
958C2×C32—21no—
959C2×C32—21no—
960C2×C32—21no—
961C2×C32—21no—
962C2×C32—21no—
963C2×C32—21no—
964C2×C32—21no—
965C2×C32—21no—
966C2×C32—41no—
967C2×C32—41no—
968C2×C32—41no—
969C2×C32—42no—
970C2×C32—42no—
971C2×C32—44no—
972C2×C32—62no—
973C2×C32—62no—
974C2×C32—121no—
975C2×C32—121no—
976C2×C32C2×#23511yescharacteristic
977C2×C32C2×D3×D411yescharacteristic
978C2×C32#100411yescharacteristic
979C2×C32D3×#4111yescharacteristic
980C2×C32#100911yescharacteristic
981C2×C32C22×#6711yescharacteristic
982C2×C32C22×C3×D411yescharacteristic
983C2×C32C2×C3×#4111yescharacteristic
984C2×C32C3×H(5,𝔽2)11yescharacteristic
985C3⋊D3—41no—
986C3×D3—22no—
987C3×D3—22no—
988C3×D3—22no—
989C3×D3—22no—
990C3×D3—42no—
991C3×D3—42no—
992C3×D3—42no—
993C3×D3—42no—
994C3×D3—41no—
995C3×D3—41no—
996C3×D3—41no—
997C3×D3—41no—
998C3×D3—121no—
999C3×D3—121no—
1000C3×D3—241no—
1001C24—31no—
1002C24—91no—
1003#41—64no—
1004C2×Q8—31no—
1005C2×D4—31no—
1006C2×D4—31no—
1007C2×D4—31no—
1008C2×D4—91no—
1009C2×D4—91no—
1010C2×D4—91no—
1011C2×D4—91no—
1012C2×D4—91no—
1013C2×D4—91no—
1014C2×D4—184no—
1015C22×C4—31no—
1016C22×C4—31no—
1017C22×C4—31no—
1018C22×C4—91no—
1019C22×C4—91no—
1020C22×C4C3×D3211yescharacteristic, complemented
1021C4⋊C4—91no—
1022C4⋊C4—91no—
1023C4⋊C4—91no—
1024C4⋊C4—91no—
1025C22⋊C4—31no—
1026C22⋊C4—31no—
1027C22⋊C4—31no—
1028C22⋊C4—31no—
1029C22⋊C4—91no—
1030C22⋊C4—91no—
1031C22⋊C4—91no—
1032C22⋊C4—91no—
1033C22⋊C4—91no—
1034C22⋊C4—91no—
1035C22⋊C4—91no—
1036C22⋊C4—91no—
1037C42—91no—
1038C22×C3—22no—
1039C22×C3—22no—
1040C22×C3—21no—
1041C22×C3—21no—
1042C22×C3—21no—
1043C22×C3—21no—
1044C22×C3—21no—
1045C22×C3—21no—
1046C22×C3—21no—
1047C22×C3—21no—
1048C22×C3—21no—
1049C22×C3—22no—
1050C22×C3—22no—
1051C22×C3—22no—
1052C22×C3—32no—
1053C22×C3—32no—
1054C22×C3—32no—
1055C22×C3—32no—
1056C22×C3—41no—
1057C22×C3—41no—
1058C22×C3—41no—
1059C22×C3—41no—
1060C22×C3—42no—
1061C22×C3—42no—
1062C22×C3—41no—
1063C22×C3—42no—
1064C22×C3—62no—
1065C22×C3—62no—
1066C22×C3—62no—
1067C22×C3—62no—
1068C22×C3—61no—
1069C22×C3—61no—
1070C22×C3—61no—
1071C22×C3—61no—
1072C22×C3—61no—
1073C22×C3—61no—
1074C22×C3—61no—
1075C22×C3—61no—
1076C22×C3—61no—
1077C22×C3—61no—
1078C22×C3—61no—
1079C22×C3—61no—
1080C22×C3—61no—
1081C22×C3—61no—
1082C22×C3—61no—
1083C22×C3—61no—
1084C22×C3—61no—
1085C22×C3—61no—
1086C22×C3—61no—
1087C22×C3—61no—
1088C22×C3—121no—
1089C22×C3—121no—
1090C22×C3—121no—
1091C22×C3—121no—
1092C22×C3—121no—
1093C22×C3—121no—
1094C22×C3—121no—
1095C22×C3—121no—
1096C22×C3—124no—
1097C22×C3—124no—
1098C22×C3—128no—
1099C22×C3—181no—
1100C22×C3—181no—
1101C22×C3—181no—
1102C22×C3—364no—
1103C22×C3D3×#6712yes—
1104C22×C3C3×D3×D412yes—
1105C22×C3C2×C3×#6712yes—
1106C22×C3C22×D3211yescharacteristic
1107C22×C3C23×C3×D311yescharacteristic
1108C22×C3C23×C3×D311yescharacteristic
1109C2×D3—21no—
1110C2×D3—21no—
1111C2×D3—21no—
1112C2×D3—21no—
1113C2×D3—21no—
1114C2×D3—21no—
1115C2×D3—21no—
1116C2×D3—21no—
1117C2×D3—21no—
1118C2×D3—21no—
1119C2×D3—44no—
1120C2×D3—61no—
1121C2×D3—61no—
1122C2×D3—61no—
1123C2×D3—61no—
1124C2×D3—61no—
1125C2×D3—61no—
1126C2×D3—121no—
1127C2×D3—121no—
1128C2×D3—121no—
1129C2×D3—124no—
1130C2×D3—124no—
1131C2×D3C3×#23512yescomplemented
1132C2×D3C2×C3×#6712yes—
1133C3×C4—22no—
1134C3×C4—22no—
1135C3×C4—21no—
1136C3×C4—21no—
1137C3×C4—21no—
1138C3×C4—21no—
1139C3×C4—21no—
1140C3×C4—21no—
1141C3×C4—32no—
1142C3×C4—32no—
1143C3×C4—41no—
1144C3×C4—41no—
1145C3×C4—41no—
1146C3×C4—41no—
1147C3×C4—42no—
1148C3×C4—42no—
1149C3×C4—62no—
1150C3×C4—62no—
1151C3×C4—61no—
1152C3×C4—61no—
1153C3×C4—61no—
1154C3×C4—61no—
1155C3×C4—61no—
1156C3×C4—61no—
1157C3×C4—121no—
1158C3×C4—121no—
1159C3×C4—181no—
1160C3×C4—181no—
1161C3×C4—181no—
1162Dic3—21no—
1163Dic3—21no—
1164Dic3—21no—
1165Dic3—61no—
1166Dic3—61no—
1167Dic3—61no—
1168Dic3—61no—
1169Dic3—61no—
1170Dic3—61no—
1171Dic3—121no—
1172Dic3—121no—
1173Dic3—121no—
1174Dic3C2×C3×#6712yes—
1175C32—21no—
1176C32—21no—
1177C32—21no—
1178C32—41no—
1179C32#549011yescharacteristic, complemented
1180C32#582911yescharacteristic, complemented
1181C32C3×#54611yescharacteristic, complemented
1182C23—31no—
1183C23—31no—
1184C23—31no—
1185C23—31no—
1186C23—62no—
1187C23—62no—
1188C23—91no—
1189C23—121no—
1190C23—182no—
1191C23—182no—
1192C23—361no—
1193C23C2×C3×D3211yescharacteristic
1194Q8—62no—
1195D4—34no—
1196D4—62no—
1197D4—62no—
1198D4—182no—
1199D4—182no—
1200D4—182no—
1201D4—182no—
1202D4—361no—
1203D4—361no—
1204C2×C4—22no—
1205C2×C4—31no—
1206C2×C4—31no—
1207C2×C4—31no—
1208C2×C4—31no—
1209C2×C4—62no—
1210C2×C4—62no—
1211C2×C4—91no—
1212C2×C4—91no—
1213C2×C4—91no—
1214C2×C4—121no—
1215C2×C4—182no—
1216C2×C4—361no—
1217C2×C4C2×C3×D3211yescharacteristic
1218C2×C4C2×C3×D3211yescharacteristic
1219C2×C3—24no—
1220C2×C3—22no—
1221C2×C3—22no—
1222C2×C3—22no—
1223C2×C3—21no—
1224C2×C3—21no—
1225C2×C3—21no—
1226C2×C3—21no—
1227C2×C3—21no—
1228C2×C3—21no—
1229C2×C3—21no—
1230C2×C3—21no—
1231C2×C3—21no—
1232C2×C3—42no—
1233C2×C3—42no—
1234C2×C3—44no—
1235C2×C3—41no—
1236C2×C3—41no—
1237C2×C3—41no—
1238C2×C3—62no—
1239C2×C3—62no—
1240C2×C3—62no—
1241C2×C3—62no—
1242C2×C3—122no—
1243C2×C3—122no—
1244C2×C3—122no—
1245C2×C3—122no—
1246C2×C3—121no—
1247C2×C3—121no—
1248C2×C3—121no—
1249C2×C3—121no—
1250C2×C3—361no—
1251C2×C3D3×#23511yescharacteristic
1252C2×C3#6430711yescharacteristic
1253C2×C3C2×D3×#6711yescharacteristic
1254C2×C3C2×C3×#23511yescharacteristic
1255C2×C3C2×C3×D3×D411yescharacteristic
1256C2×C3C3×#100411yescharacteristic
1257C2×C3C3×D3×#4111yescharacteristic
1258C2×C3C3×#100911yescharacteristic
1259C2×C3C22×C3×#6711yescharacteristic
1260D3—22no—
1261D3—22no—
1262D3—41no—
1263D3—41no—
1264D3—121no—
1265D3—121no—
1266D3—241no—
1267C22—21no—
1268C22—21no—
1269C22—32no—
1270C22—32no—
1271C22—61no—
1272C22—61no—
1273C22—61no—
1274C22—61no—
1275C22—61no—
1276C22—61no—
1277C22—61no—
1278C22—61no—
1279C22—61no—
1280C22—61no—
1281C22—124no—
1282C22—181no—
1283C22—181no—
1284C22—181no—
1285C22—364no—
1286C22C3×D3×#6712yes—
1287C22C22×C3×D3211yescharacteristic
1288C4—21no—
1289C4—21no—
1290C4—32no—
1291C4—61no—
1292C4—61no—
1293C4—61no—
1294C4—181no—
1295C4—181no—
1296C4—181no—
1297C3—21no—
1298C3—21no—
1299C3—21no—
1300C3—41no—
1301C3#1059506511yescharacteristic, direct product factor
1302C3C3×#549011yescharacteristic, complemented
1303C3C3×#582911yescharacteristic, complemented
1304C2—22no—
1305C2—62no—
1306C2—62no—
1307C2—121no—
1308C2—121no—
1309C2—361no—
1310C2C3×D3×#23511yescharacteristic
1311C2C3×#6430711yescharacteristic
1312C2C2×C3×D3×#6711yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C32×#235C2semidirect
2. C2×C3×D3×#67C2semidirect
3. C3×#64138C2semidirect
4. C2×C32×(C2×D3)⋊C4C2semidirect
5. C3×#63978C2semidirect
6. C3×#63976C2semidirect
7. C3×Dic3×#67C2semidirect
8. C3×#63922C2semidirect
9. C3×D3×(C2×D3)⋊C4C2semidirect
10. C3×#63907C2semidirect
11. C3×#63906C2semidirect
12. C3×#63905C2semidirect
13. C3×#63887C2semidirect
14. C3×#63885C2semidirect
15. C3×#63879C2semidirect
18. #10595065C3direct (N × H)
21. C22×C33×C4C22semidirect
24. C2×C32×#67C22semidirect
25. C22×C32×Dic3C22semidirect
27. C2×C32×D12C22semidirect
28. C2×C32×C4×D3C22semidirect
29. C2×C32×C4×D3C22semidirect
30. C2×C32×Dic6C22semidirect
33. C2×C3×#626C22semidirect
36. C2×C3×#625C22semidirect
38. C2×C3×D3×Dic3C22semidirect
39. C3×#3757C22semidirect
40. C3×#3752C22semidirect
41. C3×#3752C22semidirect
42. C3×#3750C22semidirect
43. C3×#3750C22semidirect
46. C32×(C2×D3)⋊C4C22semidirect
47. C32×(C2×D3)⋊C4C22semidirect
48. C3×Dic3⋊Dic3C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
50. C3×#3722C22semidirect
52. C3×(C2×D3)⋊Dic3C22semidirect
53. C3×(C2×D3)⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C2×C3×#235D3semidirect
61. C2×C3×#235C2×C3semidirect
62. C2×D3×#67C2×C3semidirect
64. #64138C2×C3semidirect
83. C2×C3×(C2×D3)⋊C4D3semidirect
84. C2×C3×(C2×D3)⋊C4C2×C3semidirect
93. #63978C2×C3semidirect
94. #63976C2×C3semidirect
95. Dic3×#67C2×C3semidirect
96. #63922C2×C3semidirect
97. D3×(C2×D3)⋊C4C2×C3semidirect
98. #63907C2×C3semidirect
99. #63906C2×C3semidirect
100. #63905C2×C3semidirect
101. #63887C2×C3semidirect
102. #63885C2×C3semidirect
103. #63879C2×C3semidirect
124. C32×#67D4semidirect
163. C22×C32×C4C2×D3semidirect
164. C22×C32×C4C2×D3semidirect
165. C22×C32×C4C22×C3semidirect
182. C2×C3×#67C2×D3semidirect
184. C2×C3×#67C22×C3semidirect
188. C22×C3×Dic3C2×D3semidirect
189. C22×C3×Dic3C22×C3semidirect
197. C2×C3×D12C2×D3semidirect
198. C2×C3×D12C22×C3semidirect
203. C2×C3×C4×D3C2×D3semidirect
204. C2×C3×C4×D3C2×D3semidirect
205. C2×C3×C4×D3C22×C3semidirect
206. C2×C3×C4×D3C22×C3semidirect
208. C2×C3×Dic6C2×D3semidirect
209. C2×C3×Dic6C22×C3semidirect
212. C2×#626C22×C3semidirect
215. C2×#625C22×C3semidirect
217. C2×D3×Dic3C22×C3semidirect
222. #3757C22×C3semidirect
223. #3752C22×C3semidirect
224. #3752C22×C3semidirect
225. #3750C22×C3semidirect
226. #3750C22×C3semidirect
252. C3×(C2×D3)⋊C4C2×D3semidirect
253. C3×(C2×D3)⋊C4C2×D3semidirect
256. C3×(C2×D3)⋊C4C22×C3semidirect
257. C3×(C2×D3)⋊C4C22×C3semidirect
270. Dic3⋊Dic3C22×C3semidirect
271. Dic3⋊Dic3C22×C3semidirect
272. #3722C22×C3semidirect
274. (C2×D3)⋊Dic3C22×C3semidirect
275. (C2×D3)⋊Dic3C22×C3semidirect
276. (C2×D3)⋊Dic3C22×C3semidirect
277. Dic32C22×C3semidirect
297. C2×C32×D3#41semidirect
314. C2×#235C3×D3semidirect
347. C2×(C2×D3)⋊C4C3×D3semidirect
455. C3×#67#67semidirect
456. C3×#67C3×D4semidirect
560. C22×C3×C4D32semidirect
561. C22×C3×C4C2×C3×D3semidirect
562. C22×C3×C4C2×C3×D3semidirect
576. C2×#67C2×C3×D3semidirect
579. C22×Dic3C2×C3×D3semidirect
584. C2×D12C2×C3×D3semidirect
587. C2×C4×D3C2×C3×D3semidirect
588. C2×C4×D3C2×C3×D3semidirect
589. C2×Dic6C2×C3×D3semidirect
636. (C2×D3)⋊C4C2×C3×D3semidirect
637. (C2×D3)⋊C4C2×C3×D3semidirect
740. C2×C3×D3#235semidirect
743. C2×C3×D3C3×#41semidirect
802. C33#546semidirect
928. #67C3×#67semidirect
1020. C22×C4C3×D32semidirect
1131. C2×D3C3×#235semidirect
1179. C32#5490semidirect
1180. C32#5829semidirect
1181. C32C3×#546semidirect
1301. C3#10595065direct (N × H)
1302. C3C3×#5490semidirect
1303. C3C3×#5829semidirect

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×D3×#672
C3×#641382
C2×C32×(C2×D3)⋊C42
C3×#639782
C3×#639762
C3×Dic3×#672
C3×#639222
C3×D3×(C2×D3)⋊C42
C3×#639072
C3×#639062
C3×#639052
C3×#638872
C3×#638852
C3×#638792
C3×#58293
C3×#54903
#105950653