Finite Group Databasebeta

← C3×#10595073 #13174670

Subgroups — C3×#10595073 #13174670

Order 1728.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×#67C211yesmaximal, characteristic, complemented
2C2×C3×#3804C211yesmaximal, characteristic, complemented
3C3×#64139C211yesmaximal, characteristic, complemented
4C32×C4×#67C211yesmaximal, characteristic, complemented
5C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C3×#63977C211yesmaximal, characteristic, complemented
7C3×#63966C211yesmaximal, characteristic, complemented
8C3×#63923C211yesmaximal, characteristic, complemented
9C3×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
10C3×#63910C211yesmaximal, characteristic, complemented
11C3×#63906C211yesmaximal, characteristic, complemented
12C3×#63893C211yesmaximal, characteristic, complemented
13C3×#63891C211yesmaximal, characteristic, complemented
14C3×#63880C211yesmaximal, characteristic, complemented
15C3×#63852C211yesmaximal, characteristic, complemented
16C3×#5554—31nomaximal
17C3×#5490—31nomaximal
18#10595073C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C22×C33×C4C2211yescharacteristic, complemented
22C2×C3×#638C2211yescharacteristic
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
25C2×C32×#67C2211yescharacteristic
26C22×C32×Dic3C2211yescharacteristic, complemented
27C2×C32×C4×D3C2211yescharacteristic, complemented
28C3×D3×#67—24no—
29C2×C3×#627C2211yescharacteristic, complemented
30C2×C3×#626C2211yescharacteristic
31C2×C3×#626C2211yescharacteristic
32C2×C3×#626C2211yescharacteristic, complemented
33C2×C3×#626C2211yescharacteristic, complemented
34C2×C3×#625C2211yescharacteristic
35C2×C3×#624C2211yescharacteristic, complemented
36C3×#3804—24no—
37C2×C3×D3×Dic3C2211yescharacteristic
38C2×C3×D3×Dic3C2211yescharacteristic, complemented
39C3×#3752C2211yescharacteristic, complemented
40C3×#3752C2211yescharacteristic, complemented
41C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
42C32×#217C2211yescharacteristic, complemented
43C32×(C2×D3)⋊C4C2211yescharacteristic
44C32×(C2×D3)⋊C4C2211yescharacteristic
45C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
46C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
48C32×Dic3⋊C4C2211yescharacteristic, complemented
49C32×C4×Dic3C2211yescharacteristic, complemented
50C3×Dic3⋊Dic3C2211yescharacteristic, complemented
51C3×Dic3⋊Dic3C2211yescharacteristic, complemented
52C3×#3722C2211yescharacteristic, complemented
53C3×#3722C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C22×C3×#67—31no—
57C2×C3×#237—31no—
58C2×C3×D3×D4—31no—
59C2×C3×#235—31no—
60C2×D3×#67C2×C311yescharacteristic, complemented
61C2×#3804C2×C311yescharacteristic, complemented
62C32×C4×D4—31no—
63C2×C32×C22⋊C4—31no—
64#64139C2×C311yescharacteristic, complemented
65C3×#953—31no—
66C3×#930—31no—
67C3×#930—31no—
68C3×#930—31no—
69C3×#930—61no—
70C3×#929—31no—
71C3×C4×#67—21no—
72C3×C4×#67D311yescharacteristic, complemented
73C3×C4×#67C2×C311yescharacteristic, complemented
74C2×C3×(C2×D3)⋊C4—21no—
75C2×C3×(C2×D3)⋊C4—31no—
76C2×C3×(C2×D3)⋊C4D311yescharacteristic, complemented
77C2×C3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
78C3×#897—31no—
79C3×#895—31no—
80C3×#886—31no—
81C3×#886—31no—
82C3×#885—31no—
83C3×#884—31no—
84C3×#884—31no—
85C3×#883—31no—
86C3×#882—31no—
87C3×#882—31no—
88C3×#882—31no—
89C3×#67⋊C4—31no—
90C3×D3×C22⋊C4—31no—
91C3×#878—31no—
92C3×#875—31no—
93C3×C4×D12—31no—
94#63977C2×C311yescharacteristic, complemented
95#63966C2×C311yescharacteristic, complemented
96#63923C2×C311yescharacteristic, complemented
97D3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
98#63910C2×C311yescharacteristic, complemented
99#63906C2×C311yescharacteristic, complemented
100#63893C2×C311yescharacteristic, complemented
101#63891C2×C311yescharacteristic, complemented
102#63880C2×C311yescharacteristic, complemented
103#63852C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C22×C3×C3⋊D3C2311yescharacteristic
106C22×C3×C3⋊D3C2311yescharacteristic
107C22×C32×D3—22no—
108C22×C32×D3—22no—
109C22×C32×D3—41no—
110C22×C32×D3C2311yescharacteristic
111C22×C32×D3C2311yescharacteristic
112C22×C32×D3C2311yescharacteristic
113C2×C3×D32—22no—
114C2×C3×D32—22no—
115C2×C3×D32—41no—
116C2×C33×C4—41no—
117C2×C33×C4C2311yescharacteristic
118C2×C33×C4C2311yescharacteristic
119C3×#638—22no—
120C3×#638—22no—
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C2×C3×C3⋊Dic3C2311yescharacteristic
123C3×C4⋊(C3⋊D3)—41no—
124C32×#67D414yescomplemented
125C2×C32×Dic3—22no—
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C2×C32×Dic3C2311yescharacteristic
130C2×C32×Dic3C2311yescharacteristic
131C32×C4×D3—41no—
132C3×#627—22no—
133C3×#626—22no—
134C3×#626—22no—
135C3×#626—22no—
136C3×#626—41no—
137C3×#625—22no—
138C3×#624—22no—
139C3×D3×Dic3—22no—
140C3×D3×Dic3—22no—
141C3×#546—91no—
142#5554—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
151C2×C32×D4—31no—
152C22×C32×C4—21no—
153C22×C32×C4—21no—
154C22×C32×C4—21no—
155C22×C32×C4—31no—
156C22×C32×C4—31no—
157C22×C32×C4—41no—
158C22×C32×C4C2×D311yescharacteristic, complemented
159C22×C32×C4C2×D311yescharacteristic, complemented
160C22×C32×C4C22×C311yescharacteristic, complemented
161C2×#638C22×C311yescharacteristic
162C2×#638C22×C311yescharacteristic, complemented
163C2×C4⋊(C3⋊D3)C22×C311yescharacteristic, complemented
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—31no—
171C2×C3×#67—31no—
172C2×C3×#67—31no—
173C2×C3×#67—31no—
174C2×C3×#67—31no—
175C2×C3×#67—64no—
176C2×C3×#67—61no—
177C2×C3×#67—61no—
178C2×C3×#67C2×D311yescharacteristic
179C2×C3×#67C22×C311yescharacteristic
180C22×C3×Dic3—21no—
181C22×C3×Dic3—31no—
182C22×C3×Dic3—31no—
183C22×C3×Dic3C2×D311yescharacteristic, complemented
184C22×C3×Dic3C22×C311yescharacteristic, complemented
185C3×#237—64no—
186C3×D3×D4—64no—
187C3×#235—64no—
188C2×C3×D12—31no—
189C2×C3×D12—31no—
190C2×C3×D12—31no—
191C2×C3×D12—31no—
192C2×C3×D12—31no—
193C2×C3×D12—31no—
194C2×C3×D12—61no—
195C2×C3×C4×D3—21no—
196C2×C3×C4×D3—31no—
197C2×C3×C4×D3—31no—
198C2×C3×C4×D3—31no—
199C2×C3×C4×D3—31no—
200C2×C3×C4×D3C2×D311yescharacteristic, complemented
201C2×C3×C4×D3C22×C311yescharacteristic, complemented
202C2×C3×Dic6—31no—
203C2×C3×Dic6—31no—
204D3×#67—24no—
205C2×#627C22×C311yescharacteristic, complemented
206C2×#626C22×C311yescharacteristic
207C2×#626C22×C311yescharacteristic
208C2×#626C22×C311yescharacteristic, complemented
209C2×#626C22×C311yescharacteristic, complemented
210C2×#625C22×C311yescharacteristic
211C2×#624C22×C311yescharacteristic, complemented
212#3804—24no—
213C2×D3×Dic3C22×C311yescharacteristic
214C2×D3×Dic3C22×C311yescharacteristic, complemented
215C32×C4⋊C4—31no—
216C32×C22⋊C4—31no—
217C32×C22⋊C4—31no—
218C32×C22⋊C4—31no—
219C32×C22⋊C4—31no—
220C32×C22⋊C4—31no—
221C32×C22⋊C4—31no—
222C32×C42—31no—
223#3752C22×C311yescharacteristic, complemented
224#3752C22×C311yescharacteristic, complemented
225C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
226C3×#217—21no—
227C3×#217—31no—
228C3×#217—31no—
229C3×#217C2×D311yescharacteristic, complemented
230C3×#217C22×C311yescharacteristic, complemented
231C3×(C2×D3)⋊C4—21no—
232C3×(C2×D3)⋊C4—21no—
233C3×(C2×D3)⋊C4—21no—
234C3×(C2×D3)⋊C4—21no—
235C3×(C2×D3)⋊C4—21no—
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—31no—
243C3×(C2×D3)⋊C4—31no—
244C3×(C2×D3)⋊C4—31no—
245C3×(C2×D3)⋊C4—31no—
246C3×(C2×D3)⋊C4—61no—
247C3×(C2×D3)⋊C4—61no—
248C3×(C2×D3)⋊C4C2×D311yescharacteristic
249C3×(C2×D3)⋊C4C2×D311yescharacteristic
250C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
251C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
252C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
253C3×(C2×D3)⋊C4C22×C311yescharacteristic
254C3×(C2×D3)⋊C4C22×C311yescharacteristic
255C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
256C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
257C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
258C3×C4⋊Dic3—31no—
259C3×C4⋊Dic3—31no—
260C3×C4⋊Dic3—31no—
261C3×C4⋊Dic3—31no—
262C3×C4⋊Dic3—61no—
263C3×Dic3⋊C4—21no—
264C3×Dic3⋊C4—31no—
265C3×Dic3⋊C4—31no—
266C3×Dic3⋊C4C2×D311yescharacteristic, complemented
267C3×Dic3⋊C4C22×C311yescharacteristic, complemented
268C3×C4×Dic3—21no—
269C3×C4×Dic3C2×D311yescharacteristic, complemented
270C3×C4×Dic3C22×C311yescharacteristic, complemented
271Dic3⋊Dic3C22×C311yescharacteristic, complemented
272Dic3⋊Dic3C22×C311yescharacteristic, complemented
273#3722C22×C311yescharacteristic, complemented
274#3722C22×C311yescharacteristic, complemented
275(C2×D3)⋊Dic3C22×C311yescharacteristic
276(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
277C22×C33—21no—
278C22×C33—21no—
279C22×C33C2×D412yes—
280C22×C33C2411yescharacteristic
281C2×C3×C3⋊D3—21no—
282C2×C3×C3⋊D3—21no—
283C2×C3×C3⋊D3—21no—
284C2×C3×C3⋊D3—21no—
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊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—44no—
295C2×C32×D3C2×D412yes—
296C2×C32×D3#4112yescomplemented
297C3×D32—44no—
298C33×C4—21no—
299C33×C4—21no—
300C3×C3⋊Dic3—21no—
301C3×C3⋊Dic3—21no—
302C32×Dic3—21no—
303C32×Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3C2×D412yes—
307C2×C3×#41—91no—
308C22×C3×D4—91no—
309C22×#67—31no—
310C2×#237—31no—
311C2×D3×D4—31no—
312C2×#235—31no—
313C3×#124—91no—
314C3×#123—91no—
315C3×#123—91no—
316C3×C22⋊Q8—91no—
317C3×#121—91no—
318C3×#121—91no—
319C3×#121—91no—
320C3×#120—91no—
321C3×#120—91no—
322C3×C4×D4—31no—
323C3×C4×D4—31no—
324C3×C4×D4—61no—
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#930—31no—
332#930—31no—
333#930—31no—
334#930—61no—
335#929—31no—
336C4×#67C3×D311yescharacteristic, complemented
337C2×(C2×D3)⋊C4—31no—
338C2×(C2×D3)⋊C4C3×D311yescharacteristic, complemented
339#897—31no—
340#895—31no—
341#886—31no—
342#886—31no—
343#885—31no—
344#884—31no—
345#884—31no—
346#883—31no—
347#882—31no—
348#882—31no—
349#882—31no—
350#67⋊C4—31no—
351D3×C22⋊C4—31no—
352#878—31no—
353#875—31no—
354C4×D12—31no—
355C23×C32—21no—
356C23×C32—21no—
357C23×C32—21no—
358C23×C32—31no—
359C23×C32—31no—
360C23×C32—31no—
361C23×C32—41no—
362C23×C32—62no—
363C23×C32—62no—
364C23×C32—121no—
365C23×C32C22×D311yescharacteristic
366C23×C32C22×D311yescharacteristic
367C23×C32C23×C311yescharacteristic
368C22×C3⋊D3C23×C311yescharacteristic
369C22×C3⋊D3C23×C311yescharacteristic
370C22×C3×D3—24no—
371C22×C3×D3—22no—
372C22×C3×D3—22no—
373C22×C3×D3—22no—
374C22×C3×D3—22no—
375C22×C3×D3—21no—
376C22×C3×D3—21no—
377C22×C3×D3—21no—
378C22×C3×D3—31no—
379C22×C3×D3—31no—
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—61no—
388C22×C3×D3—62no—
389C22×C3×D3—62no—
390C22×C3×D3—62no—
391C22×C3×D3—62no—
392C22×C3×D3—121no—
393C22×C3×D3—121no—
394C22×C3×D3C22×D311yescharacteristic
395C22×C3×D3C22×D311yescharacteristic
396C22×C3×D3C22×D311yescharacteristic
397C22×C3×D3C23×C311yescharacteristic
398C22×C3×D3C23×C311yescharacteristic
399C22×C3×D3C23×C311yescharacteristic
400C2×D32—22no—
401C2×D32—22no—
402C2×D32—41no—
403C32×D4—34no—
404C2×C32×C4—21no—
405C2×C32×C4—21no—
406C2×C32×C4—21no—
407C2×C32×C4—21no—
408C2×C32×C4—21no—
409C2×C32×C4—21no—
410C2×C32×C4—31no—
411C2×C32×C4—31no—
412C2×C32×C4—31no—
413C2×C32×C4—31no—
414C2×C32×C4—31no—
415C2×C32×C4—41no—
416C2×C32×C4—41no—
417C2×C32×C4—41no—
418C2×C32×C4—41no—
419C2×C32×C4—41no—
420C2×C32×C4—42no—
421C2×C32×C4—42no—
422C2×C32×C4—42no—
423C2×C32×C4—44no—
424C2×C32×C4—62no—
425C2×C32×C4—121no—
426C2×C32×C4C22×D311yescharacteristic
427C2×C32×C4C22×D311yescharacteristic
428C2×C32×C4C22×D311yescharacteristic
429C2×C32×C4C22×D311yescharacteristic
430C2×C32×C4C23×C311yescharacteristic
431C2×C32×C4C23×C311yescharacteristic
432#638—22no—
433#638—22no—
434C2×C3⋊Dic3C23×C311yescharacteristic
435C2×C3⋊Dic3C23×C311yescharacteristic
436C4⋊(C3⋊D3)—41no—
437C3×#67—24no—
438C3×#67—62no—
439C3×#67—62no—
440C3×#67—62no—
441C3×#67—62no—
442C3×#67—62no—
443C3×#67—62no—
444C3×#67—62no—
445C3×#67—62no—
446C3×#67—62no—
447C3×#67—122no—
448C3×#67—122no—
449C3×#67—121no—
450C3×#67D1214yescomplemented
451C3×#67C3×D414yescomplemented
452C2×C3×Dic3—22no—
453C2×C3×Dic3—22no—
454C2×C3×Dic3—21no—
455C2×C3×Dic3—21no—
456C2×C3×Dic3—21no—
457C2×C3×Dic3—21no—
458C2×C3×Dic3—21no—
459C2×C3×Dic3—31no—
460C2×C3×Dic3—31no—
461C2×C3×Dic3—31no—
462C2×C3×Dic3—31no—
463C2×C3×Dic3—42no—
464C2×C3×Dic3—61no—
465C2×C3×Dic3—61no—
466C2×C3×Dic3—62no—
467C2×C3×Dic3—62no—
468C2×C3×Dic3C22×D311yescharacteristic
469C2×C3×Dic3C22×D311yescharacteristic
470C2×C3×Dic3C22×D311yescharacteristic
471C2×C3×Dic3C22×D311yescharacteristic
472C2×C3×Dic3C22×D311yescharacteristic
473C2×C3×Dic3C23×C311yescharacteristic
474C2×C3×Dic3C23×C311yescharacteristic
475C2×C3×Dic3C23×C311yescharacteristic
476C2×C3×Dic3C23×C311yescharacteristic
477C2×C3×Dic3C23×C311yescharacteristic
478C3×D12—62no—
479C3×D12—62no—
480C3×D12—62no—
481C3×D12—121no—
482C3×D12—121no—
483C3×D12—122no—
484C3×D12—121no—
485C3×C4×D3—41no—
486C3×C4×D3—41no—
487C3×C4×D3—42no—
488C3×C4×D3—62no—
489C3×C4×D3—62no—
490C3×C4×D3—62no—
491C3×C4×D3—62no—
492C3×Dic6—62no—
493C3×Dic6—62no—
494#627—22no—
495#626—22no—
496#626—22no—
497#626—22no—
498#626—41no—
499#625—22no—
500#624—22no—
501D3×Dic3—22no—
502D3×Dic3—22no—
503#546—91noSylow
504C2×C33—22no—
505C2×C33C22×D411yescharacteristic
506C2×C33C2×#4111yescharacteristic
507C2×C33H(5,𝔽2)11yescharacteristic
508C3×C3⋊D3—41no—
509C3×C3⋊D3—41no—
510C32×D3—22no—
511C32×D3—22no—
512C32×D3—41no—
513C24×C3—31no—
514C24×C3—31no—
515C24×C3—61no—
516C24×C3—91no—
517C23×D3—31no—
518C23×D3—31no—
519C23×D3C2×C3×D311yescharacteristic
520C3×#41—184no—
521C2×C3×Q8—91no—
522C2×C3×D4—31no—
523C2×C3×D4—31no—
524C2×C3×D4—61no—
525C2×C3×D4—91no—
526C2×C3×D4—91no—
527C2×C3×D4—91no—
528C2×C3×D4—91no—
529C2×C3×D4—91no—
530C2×C3×D4—91no—
531C2×C3×D4—91no—
532C2×C3×D4—91no—
533C2×C3×D4—184no—
534C22×C3×C4—21no—
535C22×C3×C4—21no—
536C22×C3×C4—21no—
537C22×C3×C4—31no—
538C22×C3×C4—31no—
539C22×C3×C4—31no—
540C22×C3×C4—31no—
541C22×C3×C4—41no—
542C22×C3×C4—61no—
543C22×C3×C4—61no—
544C22×C3×C4—91no—
545C22×C3×C4—91no—
546C22×C3×C4—91no—
547C22×C3×C4D3211yescharacteristic, complemented
548C22×C3×C4C2×C3×D311yescharacteristic, complemented
549C22×C3×C4C2×C3×D311yescharacteristic, complemented
550C2×#67—31no—
551C2×#67—31no—
552C2×#67—31no—
553C2×#67—31no—
554C2×#67—31no—
555C2×#67—31no—
556C2×#67—31no—
557C2×#67—31no—
558C2×#67—31no—
559C2×#67—31no—
560C2×#67—61no—
561C2×#67—61no—
562C2×#67—64no—
563C2×#67C2×C3×D311yescharacteristic
564C22×Dic3—31no—
565C22×Dic3—31no—
566C22×Dic3C2×C3×D311yescharacteristic, complemented
567#237—64no—
568D3×D4—64no—
569#235—64no—
570C2×D12—31no—
571C2×D12—31no—
572C2×D12—31no—
573C2×D12—31no—
574C2×D12—31no—
575C2×D12—31no—
576C2×D12—61no—
577C2×C4×D3—31no—
578C2×C4×D3—31no—
579C2×C4×D3—31no—
580C2×C4×D3—31no—
581C2×C4×D3C2×C3×D311yescharacteristic, complemented
582C2×Dic6—31no—
583C2×Dic6—31no—
584C3×C4⋊C4—31no—
585C3×C4⋊C4—31no—
586C3×C4⋊C4—61no—
587C3×C4⋊C4—91no—
588C3×C4⋊C4—91no—
589C3×C4⋊C4—91no—
590C3×C22⋊C4—31no—
591C3×C22⋊C4—31no—
592C3×C22⋊C4—31no—
593C3×C22⋊C4—31no—
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—61no—
607C3×C22⋊C4—61no—
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—31no—
615C3×C42—31no—
616C3×C42—61no—
617#217—31no—
618#217—31no—
619#217C2×C3×D311yescharacteristic, complemented
620(C2×D3)⋊C4—31no—
621(C2×D3)⋊C4—31no—
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—61no—
631(C2×D3)⋊C4—61no—
632(C2×D3)⋊C4C2×C3×D311yescharacteristic
633(C2×D3)⋊C4C2×C3×D311yescharacteristic
634(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
635(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
636(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
637C4⋊Dic3—31no—
638C4⋊Dic3—31no—
639C4⋊Dic3—31no—
640C4⋊Dic3—31no—
641C4⋊Dic3—61no—
642Dic3⋊C4—31no—
643Dic3⋊C4—31no—
644Dic3⋊C4C2×C3×D311yescharacteristic, complemented
645C4×Dic3C2×C3×D311yescharacteristic, complemented
646C22×C32—21no—
647C22×C32—21no—
648C22×C32—22no—
649C22×C32—22no—
650C22×C32—21no—
651C22×C32—21no—
652C22×C32—21no—
653C22×C32—21no—
654C22×C32—21no—
655C22×C32—21no—
656C22×C32—21no—
657C22×C32—22no—
658C22×C32—22no—
659C22×C32—22no—
660C22×C32—32no—
661C22×C32—32no—
662C22×C32—42no—
663C22×C32—41no—
664C22×C32—41no—
665C22×C32—41no—
666C22×C32—41no—
667C22×C32—41no—
668C22×C32—42no—
669C22×C32—42no—
670C22×C32—61no—
671C22×C32—61no—
672C22×C32—61no—
673C22×C32—61no—
674C22×C32—61no—
675C22×C32—61no—
676C22×C32—61no—
677C22×C32—124no—
678C22×C32C2×D1212yes—
679C22×C32D3×D412yes—
680C22×C32C2×C3×D412yes—
681C22×C32C23×D311yescharacteristic
682C22×C32C23×D311yescharacteristic
683C22×C32C24×C311yescharacteristic
684C2×C3⋊D3—21no—
685C2×C3⋊D3—21no—
686C2×C3⋊D3—21no—
687C2×C3⋊D3—21no—
688C2×C3⋊D3—21no—
689C2×C3⋊D3—21no—
690C2×C3×D3—21no—
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—22no—
699C2×C3×D3—21no—
700C2×C3×D3—21no—
701C2×C3×D3—21no—
702C2×C3×D3—21no—
703C2×C3×D3—21no—
704C2×C3×D3—21no—
705C2×C3×D3—22no—
706C2×C3×D3—22no—
707C2×C3×D3—41no—
708C2×C3×D3—41no—
709C2×C3×D3—41no—
710C2×C3×D3—41no—
711C2×C3×D3—41no—
712C2×C3×D3—41no—
713C2×C3×D3—44no—
714C2×C3×D3—44no—
715C2×C3×D3—48no—
716C2×C3×D3—61no—
717C2×C3×D3—61no—
718C2×C3×D3—61no—
719C2×C3×D3—61no—
720C2×C3×D3—61no—
721C2×C3×D3—61no—
722C2×C3×D3—61no—
723C2×C3×D3—61no—
724C2×C3×D3—61no—
725C2×C3×D3—61no—
726C2×C3×D3—61no—
727C2×C3×D3—61no—
728C2×C3×D3—121no—
729C2×C3×D3—121no—
730C2×C3×D3—121no—
731C2×C3×D3—121no—
732C2×C3×D3—121no—
733C2×C3×D3—121no—
734C2×C3×D3—124no—
735C2×C3×D3—124no—
736C2×C3×D3C2×D1212yes—
737C2×C3×D3#23512yescomplemented
738C2×C3×D3C2×C3×D412yes—
739C2×C3×D3C3×#4112yescomplemented
740D32—44no—
741C32×C4—21no—
742C32×C4—21no—
743C32×C4—22no—
744C32×C4—22no—
745C32×C4—21no—
746C32×C4—21no—
747C32×C4—21no—
748C32×C4—21no—
749C32×C4—32no—
750C32×C4—41no—
751C32×C4—41no—
752C32×C4—41no—
753C32×C4—41no—
754C32×C4—42no—
755C32×C4—42no—
756C32×C4—61no—
757C32×C4—61no—
758C32×C4—61no—
759C32×C4—61no—
760C3⋊Dic3—21no—
761C3⋊Dic3—21no—
762C3×Dic3—21no—
763C3×Dic3—21no—
764C3×Dic3—21no—
765C3×Dic3—21no—
766C3×Dic3—21no—
767C3×Dic3—21no—
768C3×Dic3—21no—
769C3×Dic3—21no—
770C3×Dic3—22no—
771C3×Dic3—41no—
772C3×Dic3—41no—
773C3×Dic3—41no—
774C3×Dic3—41no—
775C3×Dic3—61no—
776C3×Dic3—61no—
777C3×Dic3—61no—
778C3×Dic3—61no—
779C3×Dic3—121no—
780C3×Dic3—121no—
781C3×Dic3C2×D1212yes—
782C3×Dic3C2×C3×D412yes—
783C2×#41—91no—
784C22×D4—91no—
785#124—91no—
786#123—91no—
787#123—91no—
788C22⋊Q8—91no—
789#121—91no—
790#121—91no—
791#121—91no—
792#120—91no—
793#120—91no—
794C4×D4—31no—
795C4×D4—91no—
796C2×C22⋊C4—31no—
797C2×C22⋊C4—91no—
798C33#54611yescharacteristic, complemented, Sylow
799C23×C3—21no—
800C23×C3—21no—
801C23×C3—21no—
802C23×C3—31no—
803C23×C3—31no—
804C23×C3—31no—
805C23×C3—31no—
806C23×C3—31no—
807C23×C3—31no—
808C23×C3—41no—
809C23×C3—61no—
810C23×C3—61no—
811C23×C3—61no—
812C23×C3—62no—
813C23×C3—62no—
814C23×C3—64no—
815C23×C3—62no—
816C23×C3—62no—
817C23×C3—91no—
818C23×C3—91no—
819C23×C3—122no—
820C23×C3—121no—
821C23×C3—121no—
822C23×C3—122no—
823C23×C3—182no—
824C23×C3—182no—
825C23×C3—361no—
826C23×C3C2×D3211yescharacteristic
827C23×C3C22×C3×D311yescharacteristic
828C23×C3C22×C3×D311yescharacteristic
829C22×D3—22no—
830C22×D3—22no—
831C22×D3—31no—
832C22×D3—31no—
833C22×D3—31no—
834C22×D3—31no—
835C22×D3—41no—
836C22×D3—61no—
837C22×D3—61no—
838C22×D3—62no—
839C22×D3—62no—
840C22×D3—62no—
841C22×D3—62no—
842C22×D3—121no—
843C22×D3—121no—
844C22×D3C22×C3×D311yescharacteristic
845C22×D3C22×C3×D311yescharacteristic
846C22×D3C22×C3×D311yescharacteristic
847C3×Q8—182no—
848C3×D4—34no—
849C3×D4—34no—
850C3×D4—64no—
851C3×D4—182no—
852C3×D4—182no—
853C3×D4—182no—
854C3×D4—182no—
855C3×D4—182no—
856C3×D4—182no—
857C3×D4—361no—
858C3×D4—361no—
859C2×C3×C4—21no—
860C2×C3×C4—21no—
861C2×C3×C4—21no—
862C2×C3×C4—21no—
863C2×C3×C4—21no—
864C2×C3×C4—21no—
865C2×C3×C4—31no—
866C2×C3×C4—31no—
867C2×C3×C4—31no—
868C2×C3×C4—31no—
869C2×C3×C4—31no—
870C2×C3×C4—31no—
871C2×C3×C4—31no—
872C2×C3×C4—31no—
873C2×C3×C4—31no—
874C2×C3×C4—31no—
875C2×C3×C4—41no—
876C2×C3×C4—41no—
877C2×C3×C4—41no—
878C2×C3×C4—42no—
879C2×C3×C4—42no—
880C2×C3×C4—42no—
881C2×C3×C4—44no—
882C2×C3×C4—41no—
883C2×C3×C4—41no—
884C2×C3×C4—61no—
885C2×C3×C4—61no—
886C2×C3×C4—61no—
887C2×C3×C4—61no—
888C2×C3×C4—61no—
889C2×C3×C4—62no—
890C2×C3×C4—62no—
891C2×C3×C4—91no—
892C2×C3×C4—91no—
893C2×C3×C4—122no—
894C2×C3×C4—121no—
895C2×C3×C4—121no—
896C2×C3×C4—122no—
897C2×C3×C4—182no—
898C2×C3×C4—182no—
899C2×C3×C4—182no—
900C2×C3×C4C2×D3211yescharacteristic
901C2×C3×C4C2×D3211yescharacteristic
902C2×C3×C4C22×C3×D311yescharacteristic
903C2×C3×C4C22×C3×D311yescharacteristic
904C2×C3×C4C22×C3×D311yescharacteristic
905C2×C3×C4C22×C3×D311yescharacteristic
906#67—62no—
907#67—62no—
908#67—62no—
909#67—62no—
910#67—62no—
911#67—62no—
912#67—62no—
913#67—62no—
914#67—62no—
915#67—122no—
916#67—122no—
917#67—121no—
918#67C3×D1214yescomplemented
919C2×Dic3—22no—
920C2×Dic3—31no—
921C2×Dic3—31no—
922C2×Dic3—31no—
923C2×Dic3—31no—
924C2×Dic3—61no—
925C2×Dic3—61no—
926C2×Dic3—62no—
927C2×Dic3—62no—
928C2×Dic3C22×C3×D311yescharacteristic
929C2×Dic3C22×C3×D311yescharacteristic
930C2×Dic3C22×C3×D311yescharacteristic
931C2×Dic3C22×C3×D311yescharacteristic
932C2×Dic3C22×C3×D311yescharacteristic
933D12—62no—
934D12—62no—
935D12—62no—
936D12—121no—
937D12—121no—
938D12—122no—
939D12—121no—
940C4×D3—41no—
941C4×D3—62no—
942C4×D3—62no—
943C4×D3—62no—
944C4×D3—62no—
945Dic6—62no—
946Dic6—62no—
947C2×C32—22no—
948C2×C32—24no—
949C2×C32—22no—
950C2×C32—22no—
951C2×C32—21no—
952C2×C32—21no—
953C2×C32—21no—
954C2×C32—21no—
955C2×C32—21no—
956C2×C32—21no—
957C2×C32—21no—
958C2×C32—21no—
959C2×C32—21no—
960C2×C32—41no—
961C2×C32—41no—
962C2×C32—41no—
963C2×C32—42no—
964C2×C32—42no—
965C2×C32—44no—
966C2×C32—62no—
967C2×C32—62no—
968C2×C32—121no—
969C2×C32C22×D1211yescharacteristic
970C2×C32C2×#23511yescharacteristic
971C2×C32C2×D3×D411yescharacteristic
972C2×C32#100411yescharacteristic
973C2×C32#100411yescharacteristic
974C2×C32D3×#4111yescharacteristic
975C2×C32C22×C3×D411yescharacteristic
976C2×C32C2×C3×#4111yescharacteristic
977C2×C32C3×H(5,𝔽2)11yescharacteristic
978C3⋊D3—41no—
979C3⋊D3—41no—
980C3×D3—22no—
981C3×D3—22no—
982C3×D3—22no—
983C3×D3—22no—
984C3×D3—42no—
985C3×D3—42no—
986C3×D3—42no—
987C3×D3—41no—
988C3×D3—41no—
989C3×D3—121no—
990C3×D3—121no—
991C3×D3—121no—
992C3×D3—121no—
993C3×D3—241no—
994C3×D3—241no—
995C24—31no—
996C24—91no—
997#41—184no—
998C2×Q8—91no—
999C2×D4—31no—
1000C2×D4—91no—
1001C2×D4—91no—
1002C2×D4—91no—
1003C2×D4—91no—
1004C2×D4—91no—
1005C2×D4—91no—
1006C2×D4—91no—
1007C2×D4—91no—
1008C2×D4—184no—
1009C22×C4—31no—
1010C22×C4—31no—
1011C22×C4—91no—
1012C22×C4—91no—
1013C22×C4—91no—
1014C22×C4C3×D3211yescharacteristic, complemented
1015C4⋊C4—31no—
1016C4⋊C4—91no—
1017C4⋊C4—91no—
1018C4⋊C4—91no—
1019C22⋊C4—31no—
1020C22⋊C4—31no—
1021C22⋊C4—31no—
1022C22⋊C4—31no—
1023C22⋊C4—31no—
1024C22⋊C4—31no—
1025C22⋊C4—91no—
1026C22⋊C4—91no—
1027C22⋊C4—91no—
1028C22⋊C4—91no—
1029C22⋊C4—91no—
1030C22⋊C4—91no—
1031C42—31no—
1032C22×C3—22no—
1033C22×C3—22no—
1034C22×C3—21no—
1035C22×C3—21no—
1036C22×C3—21no—
1037C22×C3—21no—
1038C22×C3—21no—
1039C22×C3—21no—
1040C22×C3—21no—
1041C22×C3—21no—
1042C22×C3—21no—
1043C22×C3—22no—
1044C22×C3—22no—
1045C22×C3—22no—
1046C22×C3—32no—
1047C22×C3—32no—
1048C22×C3—32no—
1049C22×C3—32no—
1050C22×C3—41no—
1051C22×C3—41no—
1052C22×C3—41no—
1053C22×C3—41no—
1054C22×C3—42no—
1055C22×C3—42no—
1056C22×C3—41no—
1057C22×C3—42no—
1058C22×C3—62no—
1059C22×C3—62no—
1060C22×C3—62no—
1061C22×C3—61no—
1062C22×C3—61no—
1063C22×C3—61no—
1064C22×C3—61no—
1065C22×C3—61no—
1066C22×C3—61no—
1067C22×C3—61no—
1068C22×C3—61no—
1069C22×C3—61no—
1070C22×C3—61no—
1071C22×C3—61no—
1072C22×C3—61no—
1073C22×C3—61no—
1074C22×C3—61no—
1075C22×C3—121no—
1076C22×C3—121no—
1077C22×C3—121no—
1078C22×C3—121no—
1079C22×C3—121no—
1080C22×C3—121no—
1081C22×C3—124no—
1082C22×C3—124no—
1083C22×C3—128no—
1084C22×C3—181no—
1085C22×C3—181no—
1086C22×C3—181no—
1087C22×C3—181no—
1088C22×C3—181no—
1089C22×C3—181no—
1090C22×C3—364no—
1091C22×C3D3×D1212yes—
1092C22×C3C2×C3×D1212yes—
1093C22×C3C3×D3×D412yes—
1094C22×C3C22×D3211yescharacteristic
1095C22×C3C23×C3×D311yescharacteristic
1096C22×C3C23×C3×D311yescharacteristic
1097C2×D3—21no—
1098C2×D3—21no—
1099C2×D3—21no—
1100C2×D3—21no—
1101C2×D3—21no—
1102C2×D3—21no—
1103C2×D3—21no—
1104C2×D3—44no—
1105C2×D3—61no—
1106C2×D3—61no—
1107C2×D3—61no—
1108C2×D3—61no—
1109C2×D3—61no—
1110C2×D3—61no—
1111C2×D3—61no—
1112C2×D3—61no—
1113C2×D3—61no—
1114C2×D3—61no—
1115C2×D3—61no—
1116C2×D3—61no—
1117C2×D3—121no—
1118C2×D3—121no—
1119C2×D3—121no—
1120C2×D3—121no—
1121C2×D3—121no—
1122C2×D3—121no—
1123C2×D3—124no—
1124C2×D3—124no—
1125C2×D3C2×C3×D1212yes—
1126C2×D3C3×#23512yescomplemented
1127C3×C4—22no—
1128C3×C4—22no—
1129C3×C4—21no—
1130C3×C4—21no—
1131C3×C4—21no—
1132C3×C4—21no—
1133C3×C4—21no—
1134C3×C4—21no—
1135C3×C4—32no—
1136C3×C4—32no—
1137C3×C4—41no—
1138C3×C4—41no—
1139C3×C4—41no—
1140C3×C4—41no—
1141C3×C4—42no—
1142C3×C4—42no—
1143C3×C4—62no—
1144C3×C4—61no—
1145C3×C4—61no—
1146C3×C4—61no—
1147C3×C4—61no—
1148C3×C4—61no—
1149C3×C4—61no—
1150C3×C4—61no—
1151C3×C4—61no—
1152C3×C4—121no—
1153C3×C4—121no—
1154C3×C4—121no—
1155C3×C4—121no—
1156C3×C4—181no—
1157C3×C4—181no—
1158Dic3—21no—
1159Dic3—21no—
1160Dic3—21no—
1161Dic3—21no—
1162Dic3—61no—
1163Dic3—61no—
1164Dic3—61no—
1165Dic3—61no—
1166Dic3—121no—
1167Dic3—121no—
1168Dic3C2×C3×D1212yes—
1169C32—21no—
1170C32—21no—
1171C32—21no—
1172C32—41no—
1173C32#549011yescharacteristic, complemented
1174C32#555411yescharacteristic, complemented
1175C32C3×#54611yescharacteristic, complemented
1176C23—31no—
1177C23—31no—
1178C23—31no—
1179C23—62no—
1180C23—62no—
1181C23—91no—
1182C23—91no—
1183C23—121no—
1184C23—182no—
1185C23—182no—
1186C23—361no—
1187C23C2×C3×D3211yescharacteristic
1188Q8—182no—
1189D4—34no—
1190D4—182no—
1191D4—182no—
1192D4—182no—
1193D4—182no—
1194D4—182no—
1195D4—182no—
1196D4—361no—
1197D4—361no—
1198C2×C4—31no—
1199C2×C4—31no—
1200C2×C4—31no—
1201C2×C4—31no—
1202C2×C4—31no—
1203C2×C4—41no—
1204C2×C4—62no—
1205C2×C4—91no—
1206C2×C4—91no—
1207C2×C4—121no—
1208C2×C4—182no—
1209C2×C4—182no—
1210C2×C4—182no—
1211C2×C4C2×C3×D3211yescharacteristic
1212C2×C4C2×C3×D3211yescharacteristic
1213C2×C3—24no—
1214C2×C3—22no—
1215C2×C3—22no—
1216C2×C3—22no—
1217C2×C3—21no—
1218C2×C3—21no—
1219C2×C3—21no—
1220C2×C3—21no—
1221C2×C3—21no—
1222C2×C3—21no—
1223C2×C3—21no—
1224C2×C3—21no—
1225C2×C3—21no—
1226C2×C3—42no—
1227C2×C3—42no—
1228C2×C3—44no—
1229C2×C3—41no—
1230C2×C3—41no—
1231C2×C3—41no—
1232C2×C3—62no—
1233C2×C3—62no—
1234C2×C3—62no—
1235C2×C3—62no—
1236C2×C3—122no—
1237C2×C3—122no—
1238C2×C3—122no—
1239C2×C3—121no—
1240C2×C3—121no—
1241C2×C3—361no—
1242C2×C3—361no—
1243C2×C3C2×D3×D1211yescharacteristic
1244C2×C3D3×#23511yescharacteristic
1245C2×C3#6433011yescharacteristic
1246C2×C3C22×C3×D1211yescharacteristic
1247C2×C3C2×C3×#23511yescharacteristic
1248C2×C3C2×C3×D3×D411yescharacteristic
1249C2×C3C3×#100411yescharacteristic
1250C2×C3C3×#100411yescharacteristic
1251C2×C3C3×D3×#4111yescharacteristic
1252D3—22no—
1253D3—22no—
1254D3—41no—
1255D3—121no—
1256D3—121no—
1257D3—121no—
1258D3—121no—
1259D3—241no—
1260D3—241no—
1261C22—21no—
1262C22—21no—
1263C22—32no—
1264C22—32no—
1265C22—61no—
1266C22—61no—
1267C22—61no—
1268C22—61no—
1269C22—61no—
1270C22—61no—
1271C22—61no—
1272C22—124no—
1273C22—181no—
1274C22—181no—
1275C22—181no—
1276C22—181no—
1277C22—181no—
1278C22—181no—
1279C22—364no—
1280C22C3×D3×D1212yes—
1281C22C22×C3×D3211yescharacteristic
1282C4—21no—
1283C4—21no—
1284C4—32no—
1285C4—61no—
1286C4—61no—
1287C4—61no—
1288C4—61no—
1289C4—181no—
1290C4—181no—
1291C3—21no—
1292C3—21no—
1293C3—21no—
1294C3—41no—
1295C3#1059507311yescharacteristic, direct product factor
1296C3C3×#549011yescharacteristic, complemented
1297C3C3×#555411yescharacteristic, complemented
1298C2—22no—
1299C2—62no—
1300C2—62no—
1301C2—121no—
1302C2—361no—
1303C2—361no—
1304C2C2×C3×D3×D1211yescharacteristic
1305C2C3×D3×#23511yescharacteristic
1306C2C3×#6433011yescharacteristic
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×C3×D3×#67C2semidirect
2. C2×C3×#3804C2semidirect
3. C3×#64139C2semidirect
4. C32×C4×#67C2semidirect
5. C2×C32×(C2×D3)⋊C4C2semidirect
6. C3×#63977C2semidirect
7. C3×#63966C2semidirect
8. C3×#63923C2semidirect
9. C3×D3×(C2×D3)⋊C4C2semidirect
10. C3×#63910C2semidirect
11. C3×#63906C2semidirect
12. C3×#63893C2semidirect
13. C3×#63891C2semidirect
14. C3×#63880C2semidirect
15. C3×#63852C2semidirect
18. #10595073C3direct (N × H)
21. C22×C33×C4C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×C4⋊(C3⋊D3)C22semidirect
26. C22×C32×Dic3C22semidirect
27. C2×C32×C4×D3C22semidirect
29. C2×C3×#627C22semidirect
32. C2×C3×#626C22semidirect
33. C2×C3×#626C22semidirect
35. C2×C3×#624C22semidirect
38. C2×C3×D3×Dic3C22semidirect
39. C3×#3752C22semidirect
40. C3×#3752C22semidirect
41. C3×C4⋊(C3⋊Dic3)C22semidirect
42. C32×#217C22semidirect
45. C32×(C2×D3)⋊C4C22semidirect
46. C32×(C2×D3)⋊C4C22semidirect
47. C32×(C2×D3)⋊C4C22semidirect
48. C32×Dic3⋊C4C22semidirect
49. C32×C4×Dic3C22semidirect
50. C3×Dic3⋊Dic3C22semidirect
51. C3×Dic3⋊Dic3C22semidirect
52. C3×#3722C22semidirect
53. C3×#3722C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
60. C2×D3×#67C2×C3semidirect
61. C2×#3804C2×C3semidirect
64. #64139C2×C3semidirect
72. C3×C4×#67D3semidirect
73. C3×C4×#67C2×C3semidirect
76. C2×C3×(C2×D3)⋊C4D3semidirect
77. C2×C3×(C2×D3)⋊C4C2×C3semidirect
94. #63977C2×C3semidirect
95. #63966C2×C3semidirect
96. #63923C2×C3semidirect
97. D3×(C2×D3)⋊C4C2×C3semidirect
98. #63910C2×C3semidirect
99. #63906C2×C3semidirect
100. #63893C2×C3semidirect
101. #63891C2×C3semidirect
102. #63880C2×C3semidirect
103. #63852C2×C3semidirect
124. C32×#67D4semidirect
158. C22×C32×C4C2×D3semidirect
159. C22×C32×C4C2×D3semidirect
160. C22×C32×C4C22×C3semidirect
162. C2×#638C22×C3semidirect
163. C2×C4⋊(C3⋊D3)C22×C3semidirect
183. C22×C3×Dic3C2×D3semidirect
184. C22×C3×Dic3C22×C3semidirect
200. C2×C3×C4×D3C2×D3semidirect
201. C2×C3×C4×D3C22×C3semidirect
205. C2×#627C22×C3semidirect
208. C2×#626C22×C3semidirect
209. C2×#626C22×C3semidirect
211. C2×#624C22×C3semidirect
214. C2×D3×Dic3C22×C3semidirect
223. #3752C22×C3semidirect
224. #3752C22×C3semidirect
225. C4⋊(C3⋊Dic3)C22×C3semidirect
229. C3×#217C2×D3semidirect
230. C3×#217C22×C3semidirect
250. C3×(C2×D3)⋊C4C2×D3semidirect
251. C3×(C2×D3)⋊C4C2×D3semidirect
252. C3×(C2×D3)⋊C4C2×D3semidirect
255. C3×(C2×D3)⋊C4C22×C3semidirect
256. C3×(C2×D3)⋊C4C22×C3semidirect
257. C3×(C2×D3)⋊C4C22×C3semidirect
266. C3×Dic3⋊C4C2×D3semidirect
267. C3×Dic3⋊C4C22×C3semidirect
269. C3×C4×Dic3C2×D3semidirect
270. C3×C4×Dic3C22×C3semidirect
271. Dic3⋊Dic3C22×C3semidirect
272. Dic3⋊Dic3C22×C3semidirect
273. #3722C22×C3semidirect
274. #3722C22×C3semidirect
276. (C2×D3)⋊Dic3C22×C3semidirect
296. C2×C32×D3#41semidirect
336. C4×#67C3×D3semidirect
338. C2×(C2×D3)⋊C4C3×D3semidirect
450. C3×#67D12semidirect
451. C3×#67C3×D4semidirect
547. C22×C3×C4D32semidirect
548. C22×C3×C4C2×C3×D3semidirect
549. C22×C3×C4C2×C3×D3semidirect
566. C22×Dic3C2×C3×D3semidirect
581. C2×C4×D3C2×C3×D3semidirect
619. #217C2×C3×D3semidirect
634. (C2×D3)⋊C4C2×C3×D3semidirect
635. (C2×D3)⋊C4C2×C3×D3semidirect
636. (C2×D3)⋊C4C2×C3×D3semidirect
644. Dic3⋊C4C2×C3×D3semidirect
645. C4×Dic3C2×C3×D3semidirect
737. C2×C3×D3#235semidirect
739. C2×C3×D3C3×#41semidirect
798. C33#546semidirect
918. #67C3×D12semidirect
1014. C22×C4C3×D32semidirect
1126. C2×D3C3×#235semidirect
1173. C32#5490semidirect
1174. C32#5554semidirect
1175. C32C3×#546semidirect
1295. C3#10595073direct (N × H)
1296. C3C3×#5490semidirect
1297. C3C3×#5554semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×#672
C2×C3×#38042
C3×#641392
C32×C4×#672
C2×C32×(C2×D3)⋊C42
C3×#639772
C3×#639662
C3×#639232
C3×D3×(C2×D3)⋊C42
C3×#639102
C3×#639062
C3×#638932
C3×#638912
C3×#638802
C3×#638522
C3×#55543
C3×#54903
#105950733