Finite Group Databasebeta

← C3×#10595163 #13174726

Subgroups — C3×#10595163 #13174726

Order 1728.

1798 conjugacy classes of subgroups.

The subgroup lattice has 1340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3×#3804C211yesmaximal, characteristic, complemented
3C32×#939C211yesmaximal, characteristic, complemented
4C32×#935C211yesmaximal, characteristic, complemented
5C3×#63981C211yesmaximal, characteristic, complemented
6C3×#63981C211yesmaximal, characteristic, complemented
7C3×#63974C211yesmaximal, characteristic, complemented
8C3×#63971C211yesmaximal, characteristic, complemented
9C2×C3×#3722C211yesmaximal, characteristic, complemented
10C3×#63953C211yesmaximal, characteristic, complemented
11C3×#63952C211yesmaximal, characteristic, complemented
12C3×#63910C211yesmaximal, characteristic, complemented
13C3×#63897C211yesmaximal, characteristic, complemented
14C3×#63881C211yesmaximal, characteristic, complemented
15C3×#63865C211yesmaximal, characteristic, complemented
16C3×#5654—31nomaximal
17C3×#5610—31nomaximal
18#10595163C311yesmaximal, characteristic, direct product factor
19C23×C3×C3⋊D3C2211yescharacteristic
20C23×C3×C3⋊D3C2211yescharacteristic
21C2×C33×D4C2211yescharacteristic
22C2×C3×#638C2211yescharacteristic
23C2×C3×#638C2211yescharacteristic
24C3×D4×C3⋊D3—24no—
25C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
26C2×C3×C4×C3⋊D3C2211yescharacteristic
27C2×C32×#67C2211yescharacteristic, complemented
28C2×C32×#67C2211yescharacteristic, complemented
29C22×C32×Dic3C2211yescharacteristic, complemented
30C22×C32×Dic3C2211yescharacteristic, complemented
31C2×C3×#627C2211yescharacteristic, complemented
32C2×C3×#626C2211yescharacteristic
33C2×C3×#626C2211yescharacteristic, complemented
34C2×C3×#626C2211yescharacteristic, complemented
35C2×C3×#624C2211yescharacteristic, complemented
36C2×C3×#624C2211yescharacteristic, complemented
37C3×#3804—24no—
38C2×C3×D3×Dic3C2211yescharacteristic, complemented
39C32×#217C2211yescharacteristic, complemented
40C32×#217C2211yescharacteristic, complemented
41C32×#217C2211yescharacteristic, complemented
42C32×#217C2211yescharacteristic, complemented
43C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
44C32×Dic3⋊C4C2211yescharacteristic, complemented
45C32×Dic3⋊C4C2211yescharacteristic, complemented
46C32×Dic3⋊C4C2211yescharacteristic, complemented
47C3×#3724C2211yescharacteristic, complemented
48C3×#3722C2211yescharacteristic
49C3×#3722C2211yescharacteristic
50C3×#3722C2211yescharacteristic
51C3×#3722C2211yescharacteristic, complemented
52C3×#3722C2211yescharacteristic, complemented
53C3×#3722C2211yescharacteristic, complemented
54C3×#3722C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C2×D4×C3⋊D3C2×C311yescharacteristic, complemented
57C2×C3×#237—31no—
58C2×C3×D3×D4—31no—
59C2×C3×D3×D4—31no—
60C2×C3×D3×D4—61no—
61C2×C3×#235—31no—
62C2×#3804C2×C311yescharacteristic, complemented
63C32×#123—31no—
64C32×#121—31no—
65C3×#939—21no—
66C3×#939—31no—
67C3×#939D311yescharacteristic, complemented
68C3×#939C2×C311yescharacteristic, complemented
69C3×#937—31no—
70C3×#937—31no—
71C3×#935—21no—
72C3×#935D311yescharacteristic, complemented
73C3×#935C2×C311yescharacteristic, complemented
74C3×C4×#67—31no—
75C2×C3×(C2×D3)⋊C4—31no—
76C2×C3×(C2×D3)⋊C4—31no—
77C3×#896—31no—
78C3×#896—31no—
79C3×#895—31no—
80C3×#894—31no—
81C3×#894—31no—
82C3×#893—31no—
83C3×#885—31no—
84C3×#885—31no—
85C3×#884—31no—
86C3×#884—31no—
87C3×#882—31no—
88C3×#882—31no—
89C3×#67⋊C4—31no—
90C3×#67⋊C4—31no—
91C3×D3×C22⋊C4—31no—
92C3×D3×C22⋊C4—31no—
93#63981C2×C311yescharacteristic, complemented
94#63981C2×C311yescharacteristic, complemented
95#63974C2×C311yescharacteristic, complemented
96#63971C2×C311yescharacteristic, complemented
97C2×#3722C2×C311yescharacteristic, complemented
98#63953C2×C311yescharacteristic, complemented
99#63952C2×C311yescharacteristic, complemented
100#63910C2×C311yescharacteristic, complemented
101#63897C2×C311yescharacteristic, complemented
102#63881C2×C311yescharacteristic, complemented
103#63865C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C23×C33C2311yescharacteristic
106C22×C3×C3⋊D3—22no—
107C22×C3×C3⋊D3—22no—
108C22×C3×C3⋊D3—22no—
109C22×C3×C3⋊D3—22no—
110C22×C3×C3⋊D3—41no—
111C22×C3×C3⋊D3—41no—
112C22×C3×C3⋊D3C2311yescharacteristic
113C22×C3×C3⋊D3C2311yescharacteristic
114C22×C3×C3⋊D3C2311yescharacteristic
115C22×C32×D3C2311yescharacteristic
116C33×D4—22no—
117C2×C33×C4C2311yescharacteristic
118C3×#638—22no—
119C3×#638D414yescomplemented
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C3×C4⋊(C3⋊D3)—22no—
122C3×C4×C3⋊D3—22no—
123C32×#67—22no—
124C32×#67—41no—
125C2×C32×Dic3—22no—
126C2×C32×Dic3—41no—
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C2×C32×Dic3C2311yescharacteristic
130C2×C32×Dic3C2311yescharacteristic
131C2×C32×Dic3C2311yescharacteristic
132C2×C32×Dic3C2311yescharacteristic
133C2×C32×Dic3C2311yescharacteristic
134C3×#627—22no—
135C3×#626—22no—
136C3×#626—22no—
137C3×#626—41no—
138C3×#624—22no—
139C3×#624—41no—
140C3×D3×Dic3—22no—
141C3×#546—91no—
142#5654—31no—
143#5610—31no—
144C23×C3⋊D3C22×C311yescharacteristic
145C23×C3⋊D3C22×C311yescharacteristic
146C23×C3×D3—31no—
147C23×C3×D3—31no—
148C23×C3×D3—31no—
149C23×C3×D3—31no—
150C23×C3×D3—61no—
151C23×C3×D3—61no—
152C2×C32×D4—21no—
153C2×C32×D4—21no—
154C2×C32×D4—21no—
155C2×C32×D4—31no—
156C2×C32×D4—31no—
157C2×C32×D4—41no—
158C2×C32×D4C2×D311yescharacteristic
159C2×C32×D4C2×D311yescharacteristic
160C2×C32×D4C22×C311yescharacteristic
161C22×C32×C4—31no—
162C22×C32×C4—31no—
163C2×#638C22×C311yescharacteristic
164C2×#638C22×C311yescharacteristic
165D4×C3⋊D3—24no—
166C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
167C2×C4×C3⋊D3C22×C311yescharacteristic
168C2×C3×#67—21no—
169C2×C3×#67—21no—
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—61no—
178C2×C3×#67—61no—
179C2×C3×#67C2×D311yescharacteristic, complemented
180C2×C3×#67C2×D311yescharacteristic, complemented
181C2×C3×#67C22×C311yescharacteristic, complemented
182C2×C3×#67C22×C311yescharacteristic, complemented
183C22×C3×Dic3—21no—
184C22×C3×Dic3—21no—
185C22×C3×Dic3—31no—
186C22×C3×Dic3C2×D311yescharacteristic, complemented
187C22×C3×Dic3C2×D311yescharacteristic, complemented
188C22×C3×Dic3C22×C311yescharacteristic, complemented
189C22×C3×Dic3C22×C311yescharacteristic, complemented
190C3×#237—64no—
191C3×D3×D4—64no—
192C3×D3×D4—64no—
193C3×D3×D4—68no—
194C3×#235—64no—
195C2×C3×D12—31no—
196C2×C3×D12—31no—
197C2×C3×D12—31no—
198C2×C3×D12—31no—
199C2×C3×D12—31no—
200C2×C3×D12—61no—
201C2×C3×C4×D3—31no—
202C2×C3×C4×D3—31no—
203C2×C3×C4×D3—31no—
204C2×C3×C4×D3—31no—
205C2×C3×C4×D3—31no—
206C2×C3×C4×D3—31no—
207C2×C3×C4×D3—31no—
208C2×C3×C4×D3—61no—
209C2×C3×Dic6—31no—
210C2×C3×Dic6—31no—
211C2×#627C22×C311yescharacteristic, complemented
212C2×#626C22×C311yescharacteristic
213C2×#626C22×C311yescharacteristic, complemented
214C2×#626C22×C311yescharacteristic, complemented
215C2×#624C22×C311yescharacteristic, complemented
216C2×#624C22×C311yescharacteristic, complemented
217#3804—24no—
218C2×D3×Dic3C22×C311yescharacteristic, complemented
219C32×C4⋊C4—31no—
220C32×C4⋊C4—31no—
221C32×C4⋊C4—31no—
222C32×C22⋊C4—31no—
223C32×C22⋊C4—31no—
224C32×C22⋊C4—31no—
225C32×C22⋊C4—31no—
226C32×C22⋊C4—31no—
227C3×#217—21no—
228C3×#217—21no—
229C3×#217—21no—
230C3×#217—21no—
231C3×#217C2×D311yescharacteristic, complemented
232C3×#217C2×D311yescharacteristic, complemented
233C3×#217C2×D311yescharacteristic, complemented
234C3×#217C2×D311yescharacteristic, complemented
235C3×#217C22×C311yescharacteristic, complemented
236C3×#217C22×C311yescharacteristic, complemented
237C3×#217C22×C311yescharacteristic, complemented
238C3×#217C22×C311yescharacteristic, complemented
239C3×(C2×D3)⋊C4—21no—
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—31no—
249C3×(C2×D3)⋊C4—31no—
250C3×(C2×D3)⋊C4—31no—
251C3×(C2×D3)⋊C4—31no—
252C3×(C2×D3)⋊C4—31no—
253C3×(C2×D3)⋊C4—31no—
254C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
255C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
256C3×Dic3⋊C4—21no—
257C3×Dic3⋊C4—21no—
258C3×Dic3⋊C4—21no—
259C3×Dic3⋊C4—31no—
260C3×Dic3⋊C4—31no—
261C3×Dic3⋊C4C2×D311yescharacteristic, complemented
262C3×Dic3⋊C4C2×D311yescharacteristic, complemented
263C3×Dic3⋊C4C2×D311yescharacteristic, complemented
264C3×Dic3⋊C4C22×C311yescharacteristic, complemented
265C3×Dic3⋊C4C22×C311yescharacteristic, complemented
266C3×Dic3⋊C4C22×C311yescharacteristic, complemented
267C3×C4×Dic3—31no—
268C3×C4×Dic3—31no—
269#3724C22×C311yescharacteristic, complemented
270#3722C22×C311yescharacteristic
271#3722C22×C311yescharacteristic
272#3722C22×C311yescharacteristic
273#3722C22×C311yescharacteristic, complemented
274#3722C22×C311yescharacteristic, complemented
275#3722C22×C311yescharacteristic, complemented
276#3722C22×C311yescharacteristic, complemented
277Dic32C22×C311yescharacteristic, complemented
278C22×C33—21no—
279C22×C33—21no—
280C22×C33—21no—
281C22×C33—21no—
282C22×C33—21no—
283C22×C33C2×D412yes—
284C22×C33C2411yescharacteristic
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3—21no—
287C2×C3×C3⋊D3—21no—
288C2×C3×C3⋊D3—21no—
289C2×C3×C3⋊D3—21no—
290C2×C3×C3⋊D3—21no—
291C2×C3×C3⋊D3—21no—
292C2×C3×C3⋊D3—44no—
293C2×C3×C3⋊D3—44no—
294C2×C3×C3⋊D3C2×D412yes—
295C2×C3×C3⋊D3#4112yescomplemented
296C2×C32×D3—21no—
297C2×C32×D3—21no—
298C2×C32×D3—21no—
299C33×C4—21no—
300C3×C3⋊Dic3C2×D412yes—
301C32×Dic3—21no—
302C32×Dic3—21no—
303C32×Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3—21no—
307C32×Dic3—21no—
308C2×C3×#41—91no—
309C22×C3×D4—91no—
310C2×#237—31no—
311C2×D3×D4—31no—
312C2×D3×D4—31no—
313C2×D3×D4—61no—
314C2×#235—31no—
315C3×#124—91no—
316C3×#123—31no—
317C3×#123—31no—
318C3×#123—61no—
319C3×#123—91no—
320C3×C22⋊Q8—91no—
321C3×#121—31no—
322C3×#121—31no—
323C3×#121—61no—
324C3×#121—91no—
325C3×#121—91no—
326C3×#120—91no—
327C3×#120—91no—
328C3×C4×D4—91no—
329C3×C4×D4—91no—
330C2×C3×C22⋊C4—91no—
331C2×C3×C22⋊C4—91no—
332#939—31no—
333#939C3×D311yescharacteristic, complemented
334#937—31no—
335#937—31no—
336#935C3×D311yescharacteristic, complemented
337C4×#67—31no—
338C2×(C2×D3)⋊C4—31no—
339C2×(C2×D3)⋊C4—31no—
340#896—31no—
341#896—31no—
342#895—31no—
343#894—31no—
344#894—31no—
345#893—31no—
346#885—31no—
347#885—31no—
348#884—31no—
349#884—31no—
350#882—31no—
351#882—31no—
352#67⋊C4—31no—
353#67⋊C4—31no—
354D3×C22⋊C4—31no—
355D3×C22⋊C4—31no—
356C23×C32—21no—
357C23×C32—21no—
358C23×C32—21no—
359C23×C32—21no—
360C23×C32—21no—
361C23×C32—21no—
362C23×C32—31no—
363C23×C32—41no—
364C23×C32—41no—
365C23×C32C22×D311yescharacteristic
366C23×C32C22×D311yescharacteristic
367C23×C32C22×D311yescharacteristic
368C23×C32C22×D311yescharacteristic
369C23×C32C23×C311yescharacteristic
370C23×C32C23×C311yescharacteristic
371C22×C3⋊D3—22no—
372C22×C3⋊D3—22no—
373C22×C3⋊D3—22no—
374C22×C3⋊D3—22no—
375C22×C3⋊D3—41no—
376C22×C3⋊D3—41no—
377C22×C3⋊D3C23×C311yescharacteristic
378C22×C3⋊D3C23×C311yescharacteristic
379C22×C3⋊D3C23×C311yescharacteristic
380C22×C3×D3—21no—
381C22×C3×D3—31no—
382C22×C3×D3—31no—
383C22×C3×D3—31no—
384C22×C3×D3—31no—
385C22×C3×D3—31no—
386C22×C3×D3—31no—
387C22×C3×D3—61no—
388C22×C3×D3—61no—
389C22×C3×D3—61no—
390C22×C3×D3—62no—
391C22×C3×D3—62no—
392C22×C3×D3—62no—
393C22×C3×D3—62no—
394C22×C3×D3—62no—
395C22×C3×D3—62no—
396C22×C3×D3—64no—
397C22×C3×D3—64no—
398C22×C3×D3—62no—
399C22×C3×D3—62no—
400C22×C3×D3—122no—
401C22×C3×D3—122no—
402C22×C3×D3—121no—
403C22×C3×D3—121no—
404C22×C3×D3—121no—
405C22×C3×D3—121no—
406C22×C3×D3—122no—
407C22×C3×D3—122no—
408C22×C3×D3C22×D311yescharacteristic
409C22×C3×D3C23×C311yescharacteristic
410C32×D4—22no—
411C32×D4—24no—
412C32×D4—22no—
413C32×D4—22no—
414C32×D4—42no—
415C32×D4—42no—
416C32×D4—44no—
417C32×D4—62no—
418C32×D4—121no—
419C2×C32×C4—21no—
420C2×C32×C4—21no—
421C2×C32×C4—21no—
422C2×C32×C4—31no—
423C2×C32×C4—31no—
424C2×C32×C4—31no—
425C2×C32×C4—31no—
426C2×C32×C4—31no—
427C2×C32×C4—31no—
428C2×C32×C4—31no—
429C2×C32×C4—41no—
430C2×C32×C4—62no—
431C2×C32×C4—121no—
432C2×C32×C4C22×D311yescharacteristic
433C2×C32×C4C22×D311yescharacteristic
434C2×C32×C4C23×C311yescharacteristic
435#638—22no—
436#638C3×D414yescomplemented
437C2×C3⋊Dic3C23×C311yescharacteristic
438C4⋊(C3⋊D3)—22no—
439C4×C3⋊D3—22no—
440C3×#67—22no—
441C3×#67—22no—
442C3×#67—34no—
443C3×#67—34no—
444C3×#67—42no—
445C3×#67—41no—
446C3×#67—41no—
447C3×#67—42no—
448C3×#67—64no—
449C3×#67—62no—
450C3×#67—62no—
451C3×#67—62no—
452C3×#67—62no—
453C3×#67—64no—
454C3×#67—121no—
455C2×C3×Dic3—22no—
456C2×C3×Dic3—22no—
457C2×C3×Dic3—21no—
458C2×C3×Dic3—21no—
459C2×C3×Dic3—21no—
460C2×C3×Dic3—21no—
461C2×C3×Dic3—21no—
462C2×C3×Dic3—21no—
463C2×C3×Dic3—21no—
464C2×C3×Dic3—31no—
465C2×C3×Dic3—31no—
466C2×C3×Dic3—42no—
467C2×C3×Dic3—41no—
468C2×C3×Dic3—41no—
469C2×C3×Dic3—42no—
470C2×C3×Dic3—61no—
471C2×C3×Dic3—62no—
472C2×C3×Dic3C22×D311yescharacteristic
473C2×C3×Dic3C22×D311yescharacteristic
474C2×C3×Dic3C22×D311yescharacteristic
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
483C2×C3×Dic3C23×C311yescharacteristic
484C2×C3×Dic3C23×C311yescharacteristic
485C2×C3×Dic3C23×C311yescharacteristic
486C3×D12—62no—
487C3×D12—62no—
488C3×D12—64no—
489C3×D12—62no—
490C3×D12—62no—
491C3×D12—121no—
492C3×C4×D3—62no—
493C3×C4×D3—62no—
494C3×C4×D3—62no—
495C3×C4×D3—62no—
496C3×C4×D3—62no—
497C3×C4×D3—64no—
498C3×C4×D3—121no—
499C3×C4×D3—121no—
500C3×Dic6—62no—
501C3×Dic6—62no—
502#627—22no—
503#626—22no—
504#626—22no—
505#626—41no—
506#624—22no—
507#624—41no—
508D3×Dic3—22no—
509#546—91noSylow
510C2×C33—22no—
511C2×C33—41no—
512C2×C33C22×D411yescharacteristic
513C2×C33C2×#4111yescharacteristic
514C2×C33H(5,𝔽2)11yescharacteristic
515C3×C3⋊D3—22no—
516C3×C3⋊D3—22no—
517C3×C3⋊D3—41no—
518C32×D3—41no—
519C24×C3—91no—
520C24×C3—91no—
521C23×D3—31no—
522C23×D3—31no—
523C23×D3—31no—
524C23×D3—31no—
525C23×D3—61no—
526C23×D3—61no—
527C3×#41—184no—
528C2×C3×Q8—91no—
529C2×C3×D4—21no—
530C2×C3×D4—21no—
531C2×C3×D4—21no—
532C2×C3×D4—31no—
533C2×C3×D4—31no—
534C2×C3×D4—31no—
535C2×C3×D4—31no—
536C2×C3×D4—41no—
537C2×C3×D4—61no—
538C2×C3×D4—61no—
539C2×C3×D4—91no—
540C2×C3×D4—91no—
541C2×C3×D4—91no—
542C2×C3×D4—91no—
543C2×C3×D4—91no—
544C2×C3×D4—91no—
545C2×C3×D4—184no—
546C2×C3×D4D3211yescharacteristic
547C2×C3×D4C2×C3×D311yescharacteristic
548C2×C3×D4C2×C3×D311yescharacteristic
549C22×C3×C4—31no—
550C22×C3×C4—31no—
551C22×C3×C4—31no—
552C22×C3×C4—31no—
553C22×C3×C4—61no—
554C22×C3×C4—61no—
555C22×C3×C4—91no—
556C22×C3×C4—91no—
557C22×C3×C4—91no—
558C22×C3×C4—91no—
559C2×#67—31no—
560C2×#67—31no—
561C2×#67—31no—
562C2×#67—31no—
563C2×#67—31no—
564C2×#67—31no—
565C2×#67—31no—
566C2×#67—61no—
567C2×#67—61no—
568C2×#67C2×C3×D311yescharacteristic, complemented
569C2×#67C2×C3×D311yescharacteristic, complemented
570C22×Dic3—31no—
571C22×Dic3C2×C3×D311yescharacteristic, complemented
572C22×Dic3C2×C3×D311yescharacteristic, complemented
573#237—64no—
574D3×D4—64no—
575D3×D4—64no—
576D3×D4—68no—
577#235—64no—
578C2×D12—31no—
579C2×D12—31no—
580C2×D12—31no—
581C2×D12—31no—
582C2×D12—31no—
583C2×D12—61no—
584C2×C4×D3—31no—
585C2×C4×D3—31no—
586C2×C4×D3—31no—
587C2×C4×D3—31no—
588C2×C4×D3—31no—
589C2×C4×D3—31no—
590C2×C4×D3—31no—
591C2×C4×D3—61no—
592C2×Dic6—31no—
593C2×Dic6—31no—
594C3×C4⋊C4—31no—
595C3×C4⋊C4—31no—
596C3×C4⋊C4—31no—
597C3×C4⋊C4—31no—
598C3×C4⋊C4—31no—
599C3×C4⋊C4—31no—
600C3×C4⋊C4—61no—
601C3×C4⋊C4—61no—
602C3×C4⋊C4—61no—
603C3×C4⋊C4—91no—
604C3×C22⋊C4—31no—
605C3×C22⋊C4—31no—
606C3×C22⋊C4—31no—
607C3×C22⋊C4—31no—
608C3×C22⋊C4—31no—
609C3×C22⋊C4—31no—
610C3×C22⋊C4—31no—
611C3×C22⋊C4—31no—
612C3×C22⋊C4—31no—
613C3×C22⋊C4—31no—
614C3×C22⋊C4—61no—
615C3×C22⋊C4—61no—
616C3×C22⋊C4—61no—
617C3×C22⋊C4—61no—
618C3×C22⋊C4—61no—
619C3×C22⋊C4—91no—
620C3×C22⋊C4—91no—
621C3×C22⋊C4—91no—
622C3×C22⋊C4—91no—
623C3×C22⋊C4—91no—
624C3×C22⋊C4—91no—
625C3×C22⋊C4—91no—
626C3×C42—91no—
627#217C2×C3×D311yescharacteristic, complemented
628#217C2×C3×D311yescharacteristic, complemented
629#217C2×C3×D311yescharacteristic, complemented
630#217C2×C3×D311yescharacteristic, complemented
631(C2×D3)⋊C4—31no—
632(C2×D3)⋊C4—31no—
633(C2×D3)⋊C4—31no—
634(C2×D3)⋊C4—31no—
635(C2×D3)⋊C4—31no—
636(C2×D3)⋊C4—31no—
637(C2×D3)⋊C4—31no—
638(C2×D3)⋊C4—31no—
639(C2×D3)⋊C4—31no—
640(C2×D3)⋊C4—31no—
641(C2×D3)⋊C4—31no—
642(C2×D3)⋊C4—31no—
643(C2×D3)⋊C4—31no—
644(C2×D3)⋊C4—31no—
645(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
646Dic3⋊C4—31no—
647Dic3⋊C4—31no—
648Dic3⋊C4C2×C3×D311yescharacteristic, complemented
649Dic3⋊C4C2×C3×D311yescharacteristic, complemented
650Dic3⋊C4C2×C3×D311yescharacteristic, complemented
651C4×Dic3—31no—
652C4×Dic3—31no—
653C22×C32—21no—
654C22×C32—21no—
655C22×C32—21no—
656C22×C32—21no—
657C22×C32—21no—
658C22×C32—21no—
659C22×C32—21no—
660C22×C32—22no—
661C22×C32—21no—
662C22×C32—21no—
663C22×C32—21no—
664C22×C32—21no—
665C22×C32—21no—
666C22×C32—21no—
667C22×C32—21no—
668C22×C32—21no—
669C22×C32—21no—
670C22×C32—21no—
671C22×C32—21no—
672C22×C32—22no—
673C22×C32—22no—
674C22×C32—22no—
675C22×C32—41no—
676C22×C32—42no—
677C22×C32—41no—
678C22×C32—41no—
679C22×C32—42no—
680C22×C32—41no—
681C22×C32—41no—
682C22×C32—41no—
683C22×C32—41no—
684C22×C32—41no—
685C22×C32—41no—
686C22×C32—41no—
687C22×C32—41no—
688C22×C32—41no—
689C22×C32—41no—
690C22×C32—41no—
691C22×C32—41no—
692C22×C32—61no—
693C22×C32—61no—
694C22×C32—61no—
695C22×C32—81no—
696C22×C32—81no—
697C22×C32—81no—
698C22×C32—81no—
699C22×C32D3×D412yes—
700C22×C32D3×D412yes—
701C22×C32C2×C3×D412yes—
702C22×C32C23×D311yescharacteristic
703C22×C32C23×D311yescharacteristic
704C22×C32C24×C311yescharacteristic
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—44no—
713C2×C3⋊D3—44no—
714C2×C3⋊D3C2×C3×D412yes—
715C2×C3⋊D3C3×#4112yescomplemented
716C2×C3×D3—21no—
717C2×C3×D3—21no—
718C2×C3×D3—21no—
719C2×C3×D3—21no—
720C2×C3×D3—21no—
721C2×C3×D3—21no—
722C2×C3×D3—32no—
723C2×C3×D3—32no—
724C2×C3×D3—32no—
725C2×C3×D3—32no—
726C2×C3×D3—41no—
727C2×C3×D3—41no—
728C2×C3×D3—41no—
729C2×C3×D3—62no—
730C2×C3×D3—62no—
731C2×C3×D3—62no—
732C2×C3×D3—62no—
733C2×C3×D3—61no—
734C2×C3×D3—61no—
735C2×C3×D3—61no—
736C2×C3×D3—61no—
737C2×C3×D3—61no—
738C2×C3×D3—61no—
739C2×C3×D3—61no—
740C2×C3×D3—61no—
741C2×C3×D3—62no—
742C2×C3×D3—61no—
743C2×C3×D3—61no—
744C2×C3×D3—61no—
745C2×C3×D3—61no—
746C2×C3×D3—61no—
747C2×C3×D3—61no—
748C2×C3×D3—121no—
749C2×C3×D3—121no—
750C2×C3×D3—121no—
751C2×C3×D3—121no—
752C2×C3×D3—124no—
753C2×C3×D3—124no—
754C2×C3×D3—124no—
755C2×C3×D3—124no—
756C2×C3×D3—128no—
757C2×C3×D3—128no—
758C32×C4—21no—
759C32×C4—22no—
760C32×C4—21no—
761C32×C4—21no—
762C32×C4—41no—
763C32×C4—41no—
764C32×C4—42no—
765C32×C4—61no—
766C32×C4—61no—
767C32×C4—61no—
768C32×C4—61no—
769C32×C4—61no—
770C32×C4—61no—
771C32×C4—61no—
772C3⋊Dic3C2×C3×D412yes—
773C3×Dic3—22no—
774C3×Dic3—21no—
775C3×Dic3—21no—
776C3×Dic3—21no—
777C3×Dic3—21no—
778C3×Dic3—21no—
779C3×Dic3—21no—
780C3×Dic3—21no—
781C3×Dic3—21no—
782C3×Dic3—21no—
783C3×Dic3—21no—
784C3×Dic3—21no—
785C3×Dic3—21no—
786C3×Dic3—21no—
787C3×Dic3—21no—
788C3×Dic3—32no—
789C3×Dic3—32no—
790C3×Dic3—41no—
791C3×Dic3—41no—
792C3×Dic3—41no—
793C3×Dic3—41no—
794C3×Dic3—41no—
795C3×Dic3—41no—
796C3×Dic3—62no—
797C2×#41—91no—
798C22×D4—91no—
799#124—91no—
800#123—31no—
801#123—91no—
802C22⋊Q8—91no—
803#121—31no—
804#121—91no—
805#121—91no—
806#120—91no—
807#120—91no—
808C4×D4—91no—
809C4×D4—91no—
810C2×C22⋊C4—91no—
811C2×C22⋊C4—91no—
812C33#54611yescharacteristic, complemented, Sylow
813C23×C3—21no—
814C23×C3—21no—
815C23×C3—21no—
816C23×C3—21no—
817C23×C3—21no—
818C23×C3—21no—
819C23×C3—31no—
820C23×C3—31no—
821C23×C3—41no—
822C23×C3—41no—
823C23×C3—61no—
824C23×C3—91no—
825C23×C3—91no—
826C23×C3—91no—
827C23×C3—182no—
828C23×C3—182no—
829C23×C3—182no—
830C23×C3—182no—
831C23×C3—361no—
832C23×C3—361no—
833C23×C3C2×D3211yescharacteristic
834C23×C3C2×D3211yescharacteristic
835C23×C3C22×C3×D311yescharacteristic
836C23×C3C22×C3×D311yescharacteristic
837C23×C3C22×C3×D311yescharacteristic
838C23×C3C22×C3×D311yescharacteristic
839C22×D3—31no—
840C22×D3—31no—
841C22×D3—31no—
842C22×D3—31no—
843C22×D3—31no—
844C22×D3—31no—
845C22×D3—61no—
846C22×D3—61no—
847C22×D3—61no—
848C22×D3—62no—
849C22×D3—62no—
850C22×D3—62no—
851C22×D3—62no—
852C22×D3—62no—
853C22×D3—62no—
854C22×D3—64no—
855C22×D3—64no—
856C22×D3—62no—
857C22×D3—62no—
858C22×D3—122no—
859C22×D3—122no—
860C22×D3—121no—
861C22×D3—121no—
862C22×D3—121no—
863C22×D3—121no—
864C22×D3—122no—
865C22×D3—122no—
866C22×D3C22×C3×D311yescharacteristic
867C3×Q8—182no—
868C3×D4—24no—
869C3×D4—22no—
870C3×D4—22no—
871C3×D4—22no—
872C3×D4—42no—
873C3×D4—42no—
874C3×D4—44no—
875C3×D4—62no—
876C3×D4—62no—
877C3×D4—94no—
878C3×D4—122no—
879C3×D4—121no—
880C3×D4—121no—
881C3×D4—122no—
882C3×D4—182no—
883C3×D4—182no—
884C3×D4—182no—
885C3×D4—182no—
886C3×D4—361no—
887C2×C3×C4—21no—
888C2×C3×C4—21no—
889C2×C3×C4—21no—
890C2×C3×C4—31no—
891C2×C3×C4—31no—
892C2×C3×C4—31no—
893C2×C3×C4—31no—
894C2×C3×C4—31no—
895C2×C3×C4—31no—
896C2×C3×C4—31no—
897C2×C3×C4—31no—
898C2×C3×C4—31no—
899C2×C3×C4—31no—
900C2×C3×C4—31no—
901C2×C3×C4—31no—
902C2×C3×C4—31no—
903C2×C3×C4—31no—
904C2×C3×C4—41no—
905C2×C3×C4—61no—
906C2×C3×C4—61no—
907C2×C3×C4—61no—
908C2×C3×C4—61no—
909C2×C3×C4—61no—
910C2×C3×C4—61no—
911C2×C3×C4—61no—
912C2×C3×C4—62no—
913C2×C3×C4—62no—
914C2×C3×C4—91no—
915C2×C3×C4—122no—
916C2×C3×C4—121no—
917C2×C3×C4—121no—
918C2×C3×C4—122no—
919C2×C3×C4—182no—
920C2×C3×C4—182no—
921C2×C3×C4—182no—
922C2×C3×C4—361no—
923C2×C3×C4C2×D3211yescharacteristic
924C2×C3×C4C22×C3×D311yescharacteristic
925C2×C3×C4C22×C3×D311yescharacteristic
926#67—22no—
927#67—34no—
928#67—34no—
929#67—41no—
930#67—64no—
931#67—62no—
932#67—62no—
933#67—62no—
934#67—62no—
935#67—64no—
936#67—121no—
937C2×Dic3—22no—
938C2×Dic3—31no—
939C2×Dic3—31no—
940C2×Dic3—41no—
941C2×Dic3—61no—
942C2×Dic3—62no—
943C2×Dic3C22×C3×D311yescharacteristic
944C2×Dic3C22×C3×D311yescharacteristic
945C2×Dic3C22×C3×D311yescharacteristic
946C2×Dic3C22×C3×D311yescharacteristic
947C2×Dic3C22×C3×D311yescharacteristic
948C2×Dic3C22×C3×D311yescharacteristic
949C2×Dic3C22×C3×D311yescharacteristic
950D12—62no—
951D12—62no—
952D12—64no—
953D12—62no—
954D12—62no—
955D12—121no—
956C4×D3—62no—
957C4×D3—62no—
958C4×D3—62no—
959C4×D3—62no—
960C4×D3—62no—
961C4×D3—64no—
962C4×D3—121no—
963C4×D3—121no—
964Dic6—62no—
965Dic6—62no—
966C2×C32—22no—
967C2×C32—22no—
968C2×C32—22no—
969C2×C32—21no—
970C2×C32—21no—
971C2×C32—21no—
972C2×C32—21no—
973C2×C32—21no—
974C2×C32—21no—
975C2×C32—21no—
976C2×C32—21no—
977C2×C32—21no—
978C2×C32—41no—
979C2×C32—41no—
980C2×C32—41no—
981C2×C32—42no—
982C2×C32—42no—
983C2×C32—42no—
984C2×C32—41no—
985C2×C32—42no—
986C2×C32—41no—
987C2×C32—41no—
988C2×C32—82no—
989C2×C32—81no—
990C2×C32—81no—
991C2×C32—82no—
992C2×C32—121no—
993C2×C32C2×D3×D411yescharacteristic
994C2×C32C2×D3×D411yescharacteristic
995C2×C32#100411yescharacteristic
996C2×C32D3×#4111yescharacteristic
997C2×C32D3×#4111yescharacteristic
998C2×C32#100911yescharacteristic
999C2×C32C22×C3×D411yescharacteristic
1000C2×C32C2×C3×#4111yescharacteristic
1001C2×C32C3×H(5,𝔽2)11yescharacteristic
1002C3⋊D3—22no—
1003C3⋊D3—22no—
1004C3⋊D3—41no—
1005C3×D3—41no—
1006C3×D3—41no—
1007C3×D3—64no—
1008C3×D3—62no—
1009C3×D3—62no—
1010C3×D3—62no—
1011C3×D3—62no—
1012C3×D3—81no—
1013C3×D3—122no—
1014C3×D3—122no—
1015C3×D3—121no—
1016C3×D3—121no—
1017C24—91no—
1018C24—91no—
1019#41—184no—
1020C2×Q8—91no—
1021C2×D4—31no—
1022C2×D4—31no—
1023C2×D4—91no—
1024C2×D4—91no—
1025C2×D4—91no—
1026C2×D4—91no—
1027C2×D4—91no—
1028C2×D4—91no—
1029C2×D4—184no—
1030C2×D4C3×D3211yescharacteristic
1031C22×C4—31no—
1032C22×C4—31no—
1033C22×C4—91no—
1034C22×C4—91no—
1035C22×C4—91no—
1036C22×C4—91no—
1037C4⋊C4—31no—
1038C4⋊C4—31no—
1039C4⋊C4—31no—
1040C4⋊C4—91no—
1041C22⋊C4—31no—
1042C22⋊C4—31no—
1043C22⋊C4—31no—
1044C22⋊C4—31no—
1045C22⋊C4—31no—
1046C22⋊C4—91no—
1047C22⋊C4—91no—
1048C22⋊C4—91no—
1049C22⋊C4—91no—
1050C22⋊C4—91no—
1051C22⋊C4—91no—
1052C22⋊C4—91no—
1053C42—91no—
1054C22×C3—21no—
1055C22×C3—21no—
1056C22×C3—21no—
1057C22×C3—21no—
1058C22×C3—21no—
1059C22×C3—21no—
1060C22×C3—22no—
1061C22×C3—21no—
1062C22×C3—21no—
1063C22×C3—21no—
1064C22×C3—21no—
1065C22×C3—21no—
1066C22×C3—21no—
1067C22×C3—21no—
1068C22×C3—21no—
1069C22×C3—21no—
1070C22×C3—21no—
1071C22×C3—21no—
1072C22×C3—21no—
1073C22×C3—22no—
1074C22×C3—22no—
1075C22×C3—22no—
1076C22×C3—41no—
1077C22×C3—41no—
1078C22×C3—41no—
1079C22×C3—41no—
1080C22×C3—41no—
1081C22×C3—41no—
1082C22×C3—41no—
1083C22×C3—41no—
1084C22×C3—41no—
1085C22×C3—41no—
1086C22×C3—41no—
1087C22×C3—41no—
1088C22×C3—41no—
1089C22×C3—41no—
1090C22×C3—42no—
1091C22×C3—41no—
1092C22×C3—42no—
1093C22×C3—61no—
1094C22×C3—61no—
1095C22×C3—61no—
1096C22×C3—61no—
1097C22×C3—61no—
1098C22×C3—61no—
1099C22×C3—81no—
1100C22×C3—81no—
1101C22×C3—81no—
1102C22×C3—81no—
1103C22×C3—92no—
1104C22×C3—92no—
1105C22×C3—121no—
1106C22×C3—121no—
1107C22×C3—121no—
1108C22×C3—181no—
1109C22×C3—181no—
1110C22×C3—181no—
1111C22×C3—181no—
1112C22×C3—181no—
1113C22×C3—181no—
1114C22×C3—181no—
1115C22×C3—364no—
1116C22×C3—364no—
1117C22×C3#381112yes—
1118C22×C3C3×D3×D412yes—
1119C22×C3C3×D3×D412yes—
1120C22×C3C22×D3211yescharacteristic
1121C22×C3C23×C3×D311yescharacteristic
1122C22×C3C23×C3×D311yescharacteristic
1123C2×D3—21no—
1124C2×D3—21no—
1125C2×D3—21no—
1126C2×D3—32no—
1127C2×D3—32no—
1128C2×D3—32no—
1129C2×D3—32no—
1130C2×D3—62no—
1131C2×D3—62no—
1132C2×D3—62no—
1133C2×D3—62no—
1134C2×D3—61no—
1135C2×D3—61no—
1136C2×D3—61no—
1137C2×D3—61no—
1138C2×D3—61no—
1139C2×D3—61no—
1140C2×D3—61no—
1141C2×D3—61no—
1142C2×D3—62no—
1143C2×D3—61no—
1144C2×D3—61no—
1145C2×D3—61no—
1146C2×D3—61no—
1147C2×D3—61no—
1148C2×D3—61no—
1149C2×D3—121no—
1150C2×D3—121no—
1151C2×D3—121no—
1152C2×D3—121no—
1153C2×D3—124no—
1154C2×D3—124no—
1155C2×D3—124no—
1156C2×D3—124no—
1157C2×D3—128no—
1158C2×D3—128no—
1159C3×C4—22no—
1160C3×C4—21no—
1161C3×C4—21no—
1162C3×C4—21no—
1163C3×C4—41no—
1164C3×C4—41no—
1165C3×C4—42no—
1166C3×C4—62no—
1167C3×C4—61no—
1168C3×C4—61no—
1169C3×C4—61no—
1170C3×C4—61no—
1171C3×C4—61no—
1172C3×C4—61no—
1173C3×C4—61no—
1174C3×C4—61no—
1175C3×C4—61no—
1176C3×C4—61no—
1177C3×C4—61no—
1178C3×C4—61no—
1179C3×C4—61no—
1180C3×C4—61no—
1181C3×C4—92no—
1182C3×C4—121no—
1183C3×C4—121no—
1184C3×C4—121no—
1185C3×C4—121no—
1186C3×C4—121no—
1187C3×C4—121no—
1188Dic3—21no—
1189Dic3—21no—
1190Dic3—21no—
1191Dic3—21no—
1192Dic3—21no—
1193Dic3—21no—
1194Dic3—21no—
1195Dic3—32no—
1196Dic3—32no—
1197Dic3—62no—
1198C32—21no—
1199C32—21no—
1200C32—21no—
1201C32—41no—
1202C32#561011yescharacteristic, complemented
1203C32#565411yescharacteristic, complemented
1204C32C3×#54611yescharacteristic, complemented
1205C23—31no—
1206C23—91no—
1207C23—91no—
1208C23—91no—
1209C23—182no—
1210C23—182no—
1211C23—182no—
1212C23—182no—
1213C23—361no—
1214C23—361no—
1215C23C2×C3×D3211yescharacteristic
1216C23C2×C3×D3211yescharacteristic
1217Q8—182no—
1218D4—22no—
1219D4—62no—
1220D4—94no—
1221D4—121no—
1222D4—182no—
1223D4—182no—
1224D4—182no—
1225D4—182no—
1226D4—361no—
1227C2×C4—31no—
1228C2×C4—31no—
1229C2×C4—31no—
1230C2×C4—31no—
1231C2×C4—31no—
1232C2×C4—31no—
1233C2×C4—31no—
1234C2×C4—62no—
1235C2×C4—91no—
1236C2×C4—121no—
1237C2×C4—182no—
1238C2×C4—182no—
1239C2×C4—182no—
1240C2×C4—361no—
1241C2×C4C2×C3×D3211yescharacteristic
1242C2×C3—22no—
1243C2×C3—22no—
1244C2×C3—22no—
1245C2×C3—21no—
1246C2×C3—21no—
1247C2×C3—21no—
1248C2×C3—21no—
1249C2×C3—21no—
1250C2×C3—21no—
1251C2×C3—21no—
1252C2×C3—21no—
1253C2×C3—21no—
1254C2×C3—42no—
1255C2×C3—42no—
1256C2×C3—42no—
1257C2×C3—42no—
1258C2×C3—41no—
1259C2×C3—41no—
1260C2×C3—41no—
1261C2×C3—41no—
1262C2×C3—41no—
1263C2×C3—41no—
1264C2×C3—82no—
1265C2×C3—81no—
1266C2×C3—81no—
1267C2×C3—82no—
1268C2×C3—121no—
1269C2×C3—121no—
1270C2×C3—182no—
1271C2×C3—182no—
1272C2×C3—241no—
1273C2×C3—361no—
1274C2×C3#6431211yescharacteristic
1275C2×C3#6431411yescharacteristic
1276C2×C3C2×#381111yescharacteristic
1277C2×C3C2×C3×D3×D411yescharacteristic
1278C2×C3C2×C3×D3×D411yescharacteristic
1279C2×C3C3×#100411yescharacteristic
1280C2×C3C3×D3×#4111yescharacteristic
1281C2×C3C3×D3×#4111yescharacteristic
1282C2×C3C3×#100911yescharacteristic
1283D3—41no—
1284D3—64no—
1285D3—62no—
1286D3—62no—
1287D3—62no—
1288D3—62no—
1289D3—122no—
1290D3—122no—
1291D3—121no—
1292D3—121no—
1293C22—21no—
1294C22—21no—
1295C22—21no—
1296C22—21no—
1297C22—21no—
1298C22—61no—
1299C22—61no—
1300C22—61no—
1301C22—92no—
1302C22—92no—
1303C22—181no—
1304C22—181no—
1305C22—181no—
1306C22—181no—
1307C22—181no—
1308C22—181no—
1309C22—181no—
1310C22—364no—
1311C22—364no—
1312C22C3×#381112yes—
1313C22C22×C3×D3211yescharacteristic
1314C4—21no—
1315C4—61no—
1316C4—61no—
1317C4—61no—
1318C4—61no—
1319C4—61no—
1320C4—61no—
1321C4—61no—
1322C4—92no—
1323C3—21no—
1324C3—21no—
1325C3—21no—
1326C3—41no—
1327C3#1059516311yescharacteristic, direct product factor
1328C3C3×#561011yescharacteristic, complemented
1329C3C3×#565411yescharacteristic, complemented
1330C2—22no—
1331C2—41no—
1332C2—121no—
1333C2—182no—
1334C2—182no—
1335C2—361no—
1336C2C3×#6431211yescharacteristic
1337C2C3×#6431411yescharacteristic
1338C2C2×C3×#381111yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×C3⋊D3C2semidirect
2. C2×C3×#3804C2semidirect
3. C32×#939C2semidirect
4. C32×#935C2semidirect
5. C3×#63981C2semidirect
6. C3×#63981C2semidirect
7. C3×#63974C2semidirect
8. C3×#63971C2semidirect
9. C2×C3×#3722C2semidirect
10. C3×#63953C2semidirect
11. C3×#63952C2semidirect
12. C3×#63910C2semidirect
13. C3×#63897C2semidirect
14. C3×#63881C2semidirect
15. C3×#63865C2semidirect
18. #10595163C3direct (N × H)
27. C2×C32×#67C22semidirect
28. C2×C32×#67C22semidirect
29. C22×C32×Dic3C22semidirect
30. C22×C32×Dic3C22semidirect
31. C2×C3×#627C22semidirect
33. C2×C3×#626C22semidirect
34. C2×C3×#626C22semidirect
35. C2×C3×#624C22semidirect
36. C2×C3×#624C22semidirect
38. C2×C3×D3×Dic3C22semidirect
39. C32×#217C22semidirect
40. C32×#217C22semidirect
41. C32×#217C22semidirect
42. C32×#217C22semidirect
43. C32×(C2×D3)⋊C4C22semidirect
44. C32×Dic3⋊C4C22semidirect
45. C32×Dic3⋊C4C22semidirect
46. C32×Dic3⋊C4C22semidirect
47. C3×#3724C22semidirect
51. C3×#3722C22semidirect
52. C3×#3722C22semidirect
53. C3×#3722C22semidirect
54. C3×#3722C22semidirect
55. C3×Dic32C22semidirect
56. C2×D4×C3⋊D3C2×C3semidirect
62. C2×#3804C2×C3semidirect
67. C3×#939D3semidirect
68. C3×#939C2×C3semidirect
72. C3×#935D3semidirect
73. C3×#935C2×C3semidirect
93. #63981C2×C3semidirect
94. #63981C2×C3semidirect
95. #63974C2×C3semidirect
96. #63971C2×C3semidirect
97. C2×#3722C2×C3semidirect
98. #63953C2×C3semidirect
99. #63952C2×C3semidirect
100. #63910C2×C3semidirect
101. #63897C2×C3semidirect
102. #63881C2×C3semidirect
103. #63865C2×C3semidirect
119. C3×#638D4semidirect
179. C2×C3×#67C2×D3semidirect
180. C2×C3×#67C2×D3semidirect
181. C2×C3×#67C22×C3semidirect
182. C2×C3×#67C22×C3semidirect
186. C22×C3×Dic3C2×D3semidirect
187. C22×C3×Dic3C2×D3semidirect
188. C22×C3×Dic3C22×C3semidirect
189. C22×C3×Dic3C22×C3semidirect
211. C2×#627C22×C3semidirect
213. C2×#626C22×C3semidirect
214. C2×#626C22×C3semidirect
215. C2×#624C22×C3semidirect
216. C2×#624C22×C3semidirect
218. C2×D3×Dic3C22×C3semidirect
231. C3×#217C2×D3semidirect
232. C3×#217C2×D3semidirect
233. C3×#217C2×D3semidirect
234. C3×#217C2×D3semidirect
235. C3×#217C22×C3semidirect
236. C3×#217C22×C3semidirect
237. C3×#217C22×C3semidirect
238. C3×#217C22×C3semidirect
254. C3×(C2×D3)⋊C4C2×D3semidirect
255. C3×(C2×D3)⋊C4C22×C3semidirect
261. C3×Dic3⋊C4C2×D3semidirect
262. C3×Dic3⋊C4C2×D3semidirect
263. C3×Dic3⋊C4C2×D3semidirect
264. C3×Dic3⋊C4C22×C3semidirect
265. C3×Dic3⋊C4C22×C3semidirect
266. C3×Dic3⋊C4C22×C3semidirect
269. #3724C22×C3semidirect
273. #3722C22×C3semidirect
274. #3722C22×C3semidirect
275. #3722C22×C3semidirect
276. #3722C22×C3semidirect
277. Dic32C22×C3semidirect
295. C2×C3×C3⋊D3#41semidirect
333. #939C3×D3semidirect
336. #935C3×D3semidirect
436. #638C3×D4semidirect
568. C2×#67C2×C3×D3semidirect
569. C2×#67C2×C3×D3semidirect
571. C22×Dic3C2×C3×D3semidirect
572. C22×Dic3C2×C3×D3semidirect
627. #217C2×C3×D3semidirect
628. #217C2×C3×D3semidirect
629. #217C2×C3×D3semidirect
630. #217C2×C3×D3semidirect
645. (C2×D3)⋊C4C2×C3×D3semidirect
648. Dic3⋊C4C2×C3×D3semidirect
649. Dic3⋊C4C2×C3×D3semidirect
650. Dic3⋊C4C2×C3×D3semidirect
715. C2×C3⋊D3C3×#41semidirect
812. C33#546semidirect
1202. C32#5610semidirect
1203. C32#5654semidirect
1204. C32C3×#546semidirect
1327. C3#10595163direct (N × H)
1328. C3C3×#5610semidirect
1329. C3C3×#5654semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×C3⋊D32
C2×C3×#38042
C32×#9392
C32×#9352
C3×#639812
C3×#639742
C3×#639712
C2×C3×#37222
C3×#639532
C3×#639522
C3×#639102
C3×#638972
C3×#638812
C3×#638652
C3×#56543
C3×#56103
#105951633