Finite Group Databasebeta

← C3×#10595077 #13174674

Subgroups — C3×#10595077 #13174674

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×C3×#3828C211yesmaximal, characteristic, complemented
2C2×C3×D3×#67C211yesmaximal, characteristic, complemented
3C32×#929C211yesmaximal, characteristic, complemented
4C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
5C3×#63978C211yesmaximal, characteristic, complemented
6C3×#63977C211yesmaximal, characteristic, complemented
7C3×#63952C211yesmaximal, characteristic, complemented
8C3×#63923C211yesmaximal, characteristic, complemented
9C3×#63921C211yesmaximal, characteristic, complemented
10C3×#63913C211yesmaximal, characteristic, complemented
11C3×#63912C211yesmaximal, characteristic, complemented
12C3×#63910C211yesmaximal, characteristic, complemented
13C3×#63896C211yesmaximal, characteristic, complemented
14C3×#63881C211yesmaximal, characteristic, complemented
15C3×#63853C211yesmaximal, characteristic, complemented
16C3×#5654—31nomaximal
17C3×#5490—31nomaximal
18#10595077C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C22×C33×C4C2211yescharacteristic, complemented
22C2×C3×#638C2211yescharacteristic
23C2×C3×#638C2211yescharacteristic, complemented
24C3×#3828—24no—
25C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
26C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
27C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
28C2×C3×#634C2211yescharacteristic, complemented
29C2×C32×#67C2211yescharacteristic
30C22×C32×Dic3C2211yescharacteristic, complemented
31C3×D3×#67—24no—
32C2×C3×#626C2211yescharacteristic
33C2×C3×#626C2211yescharacteristic
34C2×C3×#626C2211yescharacteristic, complemented
35C2×C3×#626C2211yescharacteristic, complemented
36C2×C3×#625C2211yescharacteristic
37C2×C3×#624C2211yescharacteristic, complemented
38C2×C3×D3×Dic3C2211yescharacteristic
39C32×#217C2211yescharacteristic, complemented
40C32×(C2×D3)⋊C4C2211yescharacteristic
41C32×(C2×D3)⋊C4C2211yescharacteristic
42C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
43C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
44C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
45C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
46C32×Dic3⋊C4C2211yescharacteristic, complemented
47C32×Dic3⋊C4C2211yescharacteristic, complemented
48C3×#3724C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic, complemented
51C3×#3722C2211yescharacteristic, complemented
52C3×(C2×D3)⋊Dic3C2211yescharacteristic
53C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C2×#3828C2×C311yescharacteristic, complemented
57C22×C3×#67—31no—
58C2×C3×D3×D4—31no—
59C2×C3×#235—31no—
60C2×C3×#235—31no—
61C2×C3×#235—61no—
62C2×D3×#67C2×C311yescharacteristic, complemented
63C32×#123—31no—
64C2×C32×C22⋊C4—31no—
65C3×#953—31no—
66C3×#939—31no—
67C3×#930—31no—
68C3×#929—21no—
69C3×#929D311yescharacteristic, complemented
70C3×#929C2×C311yescharacteristic, complemented
71C3×C4×#67—31no—
72C2×C3×(C2×D3)⋊C4—21no—
73C2×C3×(C2×D3)⋊C4D311yescharacteristic, complemented
74C2×C3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
75C3×#896—31no—
76C3×#895—31no—
77C3×#894—31no—
78C3×#893—31no—
79C3×#885—31no—
80C3×#885—31no—
81C3×#884—31no—
82C3×#884—31no—
83C3×#884—31no—
84C3×#883—31no—
85C3×#882—31no—
86C3×#882—31no—
87C3×#882—31no—
88C3×#67⋊C4—31no—
89C3×#67⋊C4—31no—
90C3×D3×C22⋊C4—31no—
91C3×D3×C22⋊C4—31no—
92C3×#878—31no—
93#63978C2×C311yescharacteristic, complemented
94#63977C2×C311yescharacteristic, complemented
95#63952C2×C311yescharacteristic, complemented
96#63923C2×C311yescharacteristic, complemented
97#63921C2×C311yescharacteristic, complemented
98#63913C2×C311yescharacteristic, complemented
99#63912C2×C311yescharacteristic, complemented
100#63910C2×C311yescharacteristic, complemented
101#63896C2×C311yescharacteristic, complemented
102#63881C2×C311yescharacteristic, complemented
103#63853C2×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—22no—
117C2×C33×C4C2311yescharacteristic
118C2×C33×C4C2311yescharacteristic
119C3×#638—22no—
120C3×#638D414yescomplemented
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C2×C3×C3⋊Dic3C2311yescharacteristic
123C3×C4⋊(C3⋊D3)—22no—
124C3×C4×C3⋊D3—22no—
125C3×C4×C3⋊D3—22no—
126C3×#634—22no—
127C32×#67—22no—
128C2×C32×Dic3—41no—
129C2×C32×Dic3C2311yescharacteristic
130C2×C32×Dic3C2311yescharacteristic
131C2×C32×Dic3C2311yescharacteristic
132C2×C32×Dic3C2311yescharacteristic
133C2×C32×Dic3C2311yescharacteristic
134C3×#626—22no—
135C3×#626—22no—
136C3×#626—41no—
137C3×#626—41no—
138C3×#625—22no—
139C3×#624—41no—
140C3×D3×Dic3—22no—
141C3×#546—91no—
142#5654—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—41no—
157C22×C32×C4C2×D311yescharacteristic, complemented
158C22×C32×C4C2×D311yescharacteristic, complemented
159C22×C32×C4C22×C311yescharacteristic, complemented
160C2×#638C22×C311yescharacteristic
161C2×#638C22×C311yescharacteristic, complemented
162#3828—24no—
163C2×C4⋊(C3⋊D3)C22×C311yescharacteristic, complemented
164C2×C4×C3⋊D3C22×C311yescharacteristic, complemented
165C2×C4×C3⋊D3C22×C311yescharacteristic, complemented
166C2×#634C22×C311yescharacteristic, complemented
167C2×C3×#67—21no—
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—31no—
176C2×C3×#67—31no—
177C2×C3×#67—31no—
178C2×C3×#67—64no—
179C2×C3×#67—61no—
180C2×C3×#67—61no—
181C2×C3×#67C2×D311yescharacteristic
182C2×C3×#67C22×C311yescharacteristic
183C22×C3×Dic3—21no—
184C22×C3×Dic3—31no—
185C22×C3×Dic3C2×D311yescharacteristic, complemented
186C22×C3×Dic3C22×C311yescharacteristic, complemented
187C3×D3×D4—64no—
188C3×#235—64no—
189C3×#235—64no—
190C3×#235—68no—
191C2×C3×D12—31no—
192C2×C3×D12—31no—
193C2×C3×D12—31no—
194C2×C3×D12—31no—
195C2×C3×D12—31no—
196C2×C3×D12—31no—
197C2×C3×D12—61no—
198C2×C3×C4×D3—31no—
199C2×C3×C4×D3—31no—
200C2×C3×C4×D3—31no—
201C2×C3×C4×D3—31no—
202C2×C3×C4×D3—31no—
203C2×C3×C4×D3—31no—
204C2×C3×C4×D3—31no—
205C2×C3×C4×D3—61no—
206C2×C3×C4×D3—61no—
207C2×C3×Dic6—31no—
208C2×C3×Dic6—31no—
209C2×C3×Dic6—61no—
210D3×#67—24no—
211C2×#626C22×C311yescharacteristic
212C2×#626C22×C311yescharacteristic
213C2×#626C22×C311yescharacteristic, complemented
214C2×#626C22×C311yescharacteristic, complemented
215C2×#625C22×C311yescharacteristic
216C2×#624C22×C311yescharacteristic, complemented
217C2×D3×Dic3C22×C311yescharacteristic
218C32×C4⋊C4—31no—
219C32×C4⋊C4—31no—
220C32×C22⋊C4—31no—
221C32×C22⋊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—31no—
229C3×#217—31no—
230C3×#217—31no—
231C3×#217C2×D311yescharacteristic, complemented
232C3×#217C22×C311yescharacteristic, complemented
233C3×(C2×D3)⋊C4—21no—
234C3×(C2×D3)⋊C4—21no—
235C3×(C2×D3)⋊C4—21no—
236C3×(C2×D3)⋊C4—21no—
237C3×(C2×D3)⋊C4—21no—
238C3×(C2×D3)⋊C4—21no—
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)⋊C4C2×D311yescharacteristic
247C3×(C2×D3)⋊C4C2×D311yescharacteristic
248C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
249C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
250C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
251C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
252C3×(C2×D3)⋊C4C22×C311yescharacteristic
253C3×(C2×D3)⋊C4C22×C311yescharacteristic
254C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
255C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
256C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
257C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
258C3×C4⋊Dic3—31no—
259C3×Dic3⋊C4—21no—
260C3×Dic3⋊C4—21no—
261C3×Dic3⋊C4—31no—
262C3×Dic3⋊C4—31no—
263C3×Dic3⋊C4—31no—
264C3×Dic3⋊C4C2×D311yescharacteristic, complemented
265C3×Dic3⋊C4C2×D311yescharacteristic, complemented
266C3×Dic3⋊C4C22×C311yescharacteristic, complemented
267C3×Dic3⋊C4C22×C311yescharacteristic, complemented
268C3×C4×Dic3—31no—
269C3×C4×Dic3—31no—
270#3724C22×C311yescharacteristic, complemented
271Dic3⋊Dic3C22×C311yescharacteristic, complemented
272#3722C22×C311yescharacteristic, complemented
273#3722C22×C311yescharacteristic, complemented
274(C2×D3)⋊Dic3C22×C311yescharacteristic
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×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3—21no—
287C2×C3×C3⋊D3C2×D412yes—
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—21no—
296C2×C32×D3—44no—
297C2×C32×D3#4112yescomplemented
298C3×D32—44no—
299C33×C4—21no—
300C33×C4—21no—
301C3×C3⋊Dic3—21no—
302C3×C3⋊Dic3C2×D412yes—
303C32×Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3—21no—
307C32×Dic3—21no—
308C2×C3×#41—91no—
309C22×C3×D4—91no—
310C22×#67—31no—
311C2×D3×D4—31no—
312C2×#235—31no—
313C2×#235—31no—
314C2×#235—61no—
315C3×#124—91no—
316C3×#123—31no—
317C3×#123—31no—
318C3×#123—61no—
319C3×#123—91no—
320C3×C22⋊Q8—91no—
321C3×#121—91no—
322C3×#121—91no—
323C3×#121—91no—
324C3×#120—91no—
325C3×#120—91no—
326C3×C4×D4—91no—
327C3×C4×D4—91no—
328C2×C3×C22⋊C4—31no—
329C2×C3×C22⋊C4—31no—
330C2×C3×C22⋊C4—61no—
331C2×C3×C22⋊C4—91no—
332#953—31no—
333#939—31no—
334#930—31no—
335#929C3×D311yescharacteristic, complemented
336C4×#67—31no—
337C2×(C2×D3)⋊C4C3×D311yescharacteristic, complemented
338#896—31no—
339#895—31no—
340#894—31no—
341#893—31no—
342#885—31no—
343#885—31no—
344#884—31no—
345#884—31no—
346#884—31no—
347#883—31no—
348#882—31no—
349#882—31no—
350#882—31no—
351#67⋊C4—31no—
352#67⋊C4—31no—
353D3×C22⋊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—41no—
363C23×C32—62no—
364C23×C32—62no—
365C23×C32—121no—
366C23×C32C22×D311yescharacteristic
367C23×C32C22×D311yescharacteristic
368C23×C32C23×C311yescharacteristic
369C22×C3⋊D3C23×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—31no—
380C22×C3×D3—31no—
381C22×C3×D3—31no—
382C22×C3×D3—31no—
383C22×C3×D3—42no—
384C22×C3×D3—41no—
385C22×C3×D3—41no—
386C22×C3×D3—42no—
387C22×C3×D3—61no—
388C22×C3×D3—61no—
389C22×C3×D3—62no—
390C22×C3×D3—62no—
391C22×C3×D3—62no—
392C22×C3×D3—62no—
393C22×C3×D3—121no—
394C22×C3×D3—121no—
395C22×C3×D3C22×D311yescharacteristic
396C22×C3×D3C22×D311yescharacteristic
397C22×C3×D3C22×D311yescharacteristic
398C22×C3×D3C23×C311yescharacteristic
399C22×C3×D3C23×C311yescharacteristic
400C22×C3×D3C23×C311yescharacteristic
401C2×D32—22no—
402C2×D32—22no—
403C2×D32—41no—
404C32×D4—62no—
405C2×C32×C4—22no—
406C2×C32×C4—24no—
407C2×C32×C4—22no—
408C2×C32×C4—22no—
409C2×C32×C4—21no—
410C2×C32×C4—21no—
411C2×C32×C4—21no—
412C2×C32×C4—21no—
413C2×C32×C4—21no—
414C2×C32×C4—21no—
415C2×C32×C4—31no—
416C2×C32×C4—31no—
417C2×C32×C4—31no—
418C2×C32×C4—31no—
419C2×C32×C4—31no—
420C2×C32×C4—41no—
421C2×C32×C4—41no—
422C2×C32×C4—42no—
423C2×C32×C4—42no—
424C2×C32×C4—44no—
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#638C3×D414yescomplemented
434C2×C3⋊Dic3C23×C311yescharacteristic
435C2×C3⋊Dic3C23×C311yescharacteristic
436C4⋊(C3⋊D3)—22no—
437C4×C3⋊D3—22no—
438C4×C3⋊D3—22no—
439#634—22no—
440C3×#67—22no—
441C3×#67—22no—
442C3×#67—34no—
443C3×#67—34no—
444C3×#67—42no—
445C3×#67—64no—
446C3×#67—62no—
447C3×#67—62no—
448C3×#67—62no—
449C3×#67—62no—
450C3×#67—64no—
451C3×#67—62no—
452C3×#67—62no—
453C3×#67—121no—
454C3×#67—121no—
455C2×C3×Dic3—21no—
456C2×C3×Dic3—21no—
457C2×C3×Dic3—21no—
458C2×C3×Dic3—21no—
459C2×C3×Dic3—21no—
460C2×C3×Dic3—31no—
461C2×C3×Dic3—31no—
462C2×C3×Dic3—31no—
463C2×C3×Dic3—31no—
464C2×C3×Dic3—41no—
465C2×C3×Dic3—41no—
466C2×C3×Dic3—42no—
467C2×C3×Dic3—61no—
468C2×C3×Dic3—61no—
469C2×C3×Dic3—62no—
470C2×C3×Dic3C22×D311yescharacteristic
471C2×C3×Dic3C22×D311yescharacteristic
472C2×C3×Dic3C22×D311yescharacteristic
473C2×C3×Dic3C22×D311yescharacteristic
474C2×C3×Dic3C22×D311yescharacteristic
475C2×C3×Dic3C23×C311yescharacteristic
476C2×C3×Dic3C23×C311yescharacteristic
477C2×C3×Dic3C23×C311yescharacteristic
478C2×C3×Dic3C23×C311yescharacteristic
479C2×C3×Dic3C23×C311yescharacteristic
480C3×D12—62no—
481C3×D12—62no—
482C3×D12—64no—
483C3×D12—62no—
484C3×D12—62no—
485C3×D12—121no—
486C3×D12—121no—
487C3×C4×D3—62no—
488C3×C4×D3—62no—
489C3×C4×D3—62no—
490C3×C4×D3—62no—
491C3×C4×D3—62no—
492C3×C4×D3—64no—
493C3×C4×D3—64no—
494C3×C4×D3—121no—
495C3×C4×D3—121no—
496C3×Dic6—62no—
497C3×Dic6—62no—
498C3×Dic6—64no—
499#626—22no—
500#626—22no—
501#626—41no—
502#626—41no—
503#625—22no—
504#624—41no—
505D3×Dic3—22no—
506#546—91noSylow
507C2×C33—22no—
508C2×C33C22×D411yescharacteristic
509C2×C33C2×#4111yescharacteristic
510C2×C33H(5,𝔽2)11yescharacteristic
511C3×C3⋊D3—22no—
512C3×C3⋊D3—41no—
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—184no—
524C2×C3×Q8—91no—
525C2×C3×D4—31no—
526C2×C3×D4—31no—
527C2×C3×D4—61no—
528C2×C3×D4—91no—
529C2×C3×D4—91no—
530C2×C3×D4—91no—
531C2×C3×D4—91no—
532C2×C3×D4—91no—
533C2×C3×D4—91no—
534C2×C3×D4—91no—
535C2×C3×D4—91no—
536C2×C3×D4—184no—
537C22×C3×C4—21no—
538C22×C3×C4—21no—
539C22×C3×C4—21no—
540C22×C3×C4—31no—
541C22×C3×C4—31no—
542C22×C3×C4—41no—
543C22×C3×C4—61no—
544C22×C3×C4—91no—
545C22×C3×C4—91no—
546C22×C3×C4—91no—
547C22×C3×C4—91no—
548C22×C3×C4D3211yescharacteristic, complemented
549C22×C3×C4C2×C3×D311yescharacteristic, complemented
550C22×C3×C4C2×C3×D311yescharacteristic, complemented
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—31no—
561C2×#67—61no—
562C2×#67—61no—
563C2×#67—64no—
564C2×#67C2×C3×D311yescharacteristic
565C22×Dic3—31no—
566C22×Dic3C2×C3×D311yescharacteristic, complemented
567D3×D4—64no—
568#235—64no—
569#235—64no—
570#235—68no—
571C2×D12—31no—
572C2×D12—31no—
573C2×D12—31no—
574C2×D12—31no—
575C2×D12—31no—
576C2×D12—31no—
577C2×D12—61no—
578C2×C4×D3—31no—
579C2×C4×D3—31no—
580C2×C4×D3—31no—
581C2×C4×D3—31no—
582C2×C4×D3—31no—
583C2×C4×D3—31no—
584C2×C4×D3—31no—
585C2×C4×D3—61no—
586C2×C4×D3—61no—
587C2×Dic6—31no—
588C2×Dic6—31no—
589C2×Dic6—61no—
590C3×C4⋊C4—31no—
591C3×C4⋊C4—31no—
592C3×C4⋊C4—31no—
593C3×C4⋊C4—31no—
594C3×C4⋊C4—61no—
595C3×C4⋊C4—61no—
596C3×C4⋊C4—91no—
597C3×C4⋊C4—91no—
598C3×C22⋊C4—31no—
599C3×C22⋊C4—31no—
600C3×C22⋊C4—31no—
601C3×C22⋊C4—31no—
602C3×C22⋊C4—31no—
603C3×C22⋊C4—31no—
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—61no—
613C3×C22⋊C4—61no—
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×C42—91no—
625#217—31no—
626#217—31no—
627#217—31no—
628#217C2×C3×D311yescharacteristic, complemented
629(C2×D3)⋊C4—31no—
630(C2×D3)⋊C4—31no—
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)⋊C4C2×C3×D311yescharacteristic
637(C2×D3)⋊C4C2×C3×D311yescharacteristic
638(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
639(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
640(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
641(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
642C4⋊Dic3—31no—
643Dic3⋊C4—31no—
644Dic3⋊C4—31no—
645Dic3⋊C4—31no—
646Dic3⋊C4C2×C3×D311yescharacteristic, complemented
647Dic3⋊C4C2×C3×D311yescharacteristic, complemented
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—42no—
666C22×C32—41no—
667C22×C32—41no—
668C22×C32—41no—
669C22×C32—41no—
670C22×C32—41no—
671C22×C32—42no—
672C22×C32—42no—
673C22×C32—61no—
674C22×C32—61no—
675C22×C32—61no—
676C22×C32—61no—
677C22×C32—61no—
678C22×C32—61no—
679C22×C32—61no—
680C22×C32—61no—
681C22×C32—124no—
682C22×C32D3×D412yes—
683C22×C32D3×D412yes—
684C22×C32C2×C3×D412yes—
685C22×C32C23×D311yescharacteristic
686C22×C32C23×D311yescharacteristic
687C22×C32C24×C311yescharacteristic
688C2×C3⋊D3—21no—
689C2×C3⋊D3—21no—
690C2×C3⋊D3—21no—
691C2×C3⋊D3—21no—
692C2×C3⋊D3—21no—
693C2×C3⋊D3C2×C3×D412yes—
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—21no—
706C2×C3×D3—21no—
707C2×C3×D3—21no—
708C2×C3×D3—21no—
709C2×C3×D3—21no—
710C2×C3×D3—21no—
711C2×C3×D3—22no—
712C2×C3×D3—32no—
713C2×C3×D3—32no—
714C2×C3×D3—41no—
715C2×C3×D3—41no—
716C2×C3×D3—41no—
717C2×C3×D3—41no—
718C2×C3×D3—41no—
719C2×C3×D3—41no—
720C2×C3×D3—41no—
721C2×C3×D3—44no—
722C2×C3×D3—44no—
723C2×C3×D3—48no—
724C2×C3×D3—62no—
725C2×C3×D3—61no—
726C2×C3×D3—61no—
727C2×C3×D3—61no—
728C2×C3×D3—61no—
729C2×C3×D3—62no—
730C2×C3×D3—61no—
731C2×C3×D3—61no—
732C2×C3×D3—61no—
733C2×C3×D3—61no—
734C2×C3×D3—61no—
735C2×C3×D3—61no—
736C2×C3×D3—121no—
737C2×C3×D3—121no—
738C2×C3×D3—121no—
739C2×C3×D3—121no—
740C2×C3×D3—124no—
741C2×C3×D3—124no—
742C2×C3×D3#23512yescomplemented
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—41no—
754C32×C4—41no—
755C32×C4—41no—
756C32×C4—41no—
757C32×C4—42no—
758C32×C4—42no—
759C32×C4—61no—
760C32×C4—61no—
761C32×C4—61no—
762C32×C4—61no—
763C32×C4—61no—
764C3⋊Dic3—21no—
765C3⋊Dic3C2×C3×D412yes—
766C3×Dic3—21no—
767C3×Dic3—21no—
768C3×Dic3—21no—
769C3×Dic3—21no—
770C3×Dic3—21no—
771C3×Dic3—21no—
772C3×Dic3—21no—
773C3×Dic3—21no—
774C3×Dic3—21no—
775C3×Dic3—21no—
776C3×Dic3—32no—
777C3×Dic3—32no—
778C3×Dic3—41no—
779C3×Dic3—41no—
780C3×Dic3—41no—
781C3×Dic3—41no—
782C3×Dic3—41no—
783C3×Dic3—62no—
784C3×Dic3—62no—
785C3×Dic3—61no—
786C3×Dic3—61no—
787C2×#41—91no—
788C22×D4—91no—
789#124—91no—
790#123—31no—
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—41no—
813C23×C3—61no—
814C23×C3—61no—
815C23×C3—61no—
816C23×C3—62no—
817C23×C3—62no—
818C23×C3—64no—
819C23×C3—62no—
820C23×C3—62no—
821C23×C3—91no—
822C23×C3—91no—
823C23×C3—122no—
824C23×C3—121no—
825C23×C3—121no—
826C23×C3—122no—
827C23×C3—182no—
828C23×C3—182no—
829C23×C3—361no—
830C23×C3C2×D3211yescharacteristic
831C23×C3C22×C3×D311yescharacteristic
832C23×C3C22×C3×D311yescharacteristic
833C22×D3—22no—
834C22×D3—22no—
835C22×D3—31no—
836C22×D3—31no—
837C22×D3—31no—
838C22×D3—31no—
839C22×D3—41no—
840C22×D3—61no—
841C22×D3—61no—
842C22×D3—62no—
843C22×D3—62no—
844C22×D3—62no—
845C22×D3—62no—
846C22×D3—121no—
847C22×D3—121no—
848C22×D3C22×C3×D311yescharacteristic
849C22×D3C22×C3×D311yescharacteristic
850C22×D3C22×C3×D311yescharacteristic
851C3×Q8—182no—
852C3×D4—62no—
853C3×D4—62no—
854C3×D4—94no—
855C3×D4—122no—
856C3×D4—182no—
857C3×D4—182no—
858C3×D4—182no—
859C3×D4—182no—
860C3×D4—182no—
861C3×D4—361no—
862C3×D4—361no—
863C2×C3×C4—24no—
864C2×C3×C4—22no—
865C2×C3×C4—22no—
866C2×C3×C4—22no—
867C2×C3×C4—21no—
868C2×C3×C4—21no—
869C2×C3×C4—21no—
870C2×C3×C4—21no—
871C2×C3×C4—21no—
872C2×C3×C4—21no—
873C2×C3×C4—31no—
874C2×C3×C4—31no—
875C2×C3×C4—31no—
876C2×C3×C4—31no—
877C2×C3×C4—31no—
878C2×C3×C4—31no—
879C2×C3×C4—31no—
880C2×C3×C4—31no—
881C2×C3×C4—31no—
882C2×C3×C4—31no—
883C2×C3×C4—42no—
884C2×C3×C4—42no—
885C2×C3×C4—44no—
886C2×C3×C4—41no—
887C2×C3×C4—41no—
888C2×C3×C4—61no—
889C2×C3×C4—61no—
890C2×C3×C4—61no—
891C2×C3×C4—61no—
892C2×C3×C4—61no—
893C2×C3×C4—91no—
894C2×C3×C4—91no—
895C2×C3×C4—121no—
896C2×C3×C4—121no—
897C2×C3×C4—122no—
898C2×C3×C4—182no—
899C2×C3×C4—182no—
900C2×C3×C4—182no—
901C2×C3×C4—361no—
902C2×C3×C4C2×D3211yescharacteristic
903C2×C3×C4C2×D3211yescharacteristic
904C2×C3×C4C22×C3×D311yescharacteristic
905C2×C3×C4C22×C3×D311yescharacteristic
906C2×C3×C4C22×C3×D311yescharacteristic
907C2×C3×C4C22×C3×D311yescharacteristic
908#67—22no—
909#67—34no—
910#67—34no—
911#67—64no—
912#67—62no—
913#67—62no—
914#67—62no—
915#67—62no—
916#67—64no—
917#67—62no—
918#67—62no—
919#67—121no—
920#67—121no—
921C2×Dic3—31no—
922C2×Dic3—31no—
923C2×Dic3—31no—
924C2×Dic3—31no—
925C2×Dic3—41no—
926C2×Dic3—61no—
927C2×Dic3—61no—
928C2×Dic3—62no—
929C2×Dic3C22×C3×D311yescharacteristic
930C2×Dic3C22×C3×D311yescharacteristic
931C2×Dic3C22×C3×D311yescharacteristic
932C2×Dic3C22×C3×D311yescharacteristic
933C2×Dic3C22×C3×D311yescharacteristic
934D12—62no—
935D12—62no—
936D12—64no—
937D12—62no—
938D12—62no—
939D12—121no—
940D12—121no—
941C4×D3—62no—
942C4×D3—62no—
943C4×D3—62no—
944C4×D3—62no—
945C4×D3—62no—
946C4×D3—64no—
947C4×D3—64no—
948C4×D3—121no—
949C4×D3—121no—
950Dic6—62no—
951Dic6—62no—
952Dic6—64no—
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—121no—
974C2×C32—121no—
975C2×C32C2×#23511yescharacteristic
976C2×C32C2×D3×D411yescharacteristic
977C2×C32C2×D3×D411yescharacteristic
978C2×C32#100411yescharacteristic
979C2×C32D3×#4111yescharacteristic
980C2×C32#100911yescharacteristic
981C2×C32C22×C3×D411yescharacteristic
982C2×C32C2×C3×#4111yescharacteristic
983C2×C32C3×H(5,𝔽2)11yescharacteristic
984C3⋊D3—22no—
985C3⋊D3—41no—
986C3×D3—22no—
987C3×D3—22no—
988C3×D3—42no—
989C3×D3—42no—
990C3×D3—41no—
991C3×D3—41no—
992C3×D3—41no—
993C3×D3—41no—
994C3×D3—62no—
995C3×D3—62no—
996C3×D3—81no—
997C3×D3—122no—
998C3×D3—122no—
999C3×D3—121no—
1000C3×D3—121no—
1001C24—31no—
1002C24—91no—
1003#41—184no—
1004C2×Q8—91no—
1005C2×D4—31no—
1006C2×D4—91no—
1007C2×D4—91no—
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—91no—
1017C22×C4—91no—
1018C22×C4—91no—
1019C22×C4—91no—
1020C22×C4C3×D3211yescharacteristic, complemented
1021C4⋊C4—31no—
1022C4⋊C4—31no—
1023C4⋊C4—91no—
1024C4⋊C4—91no—
1025C22⋊C4—31no—
1026C22⋊C4—31no—
1027C22⋊C4—31no—
1028C22⋊C4—31no—
1029C22⋊C4—31no—
1030C22⋊C4—31no—
1031C22⋊C4—31no—
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—41no—
1055C22×C3—41no—
1056C22×C3—41no—
1057C22×C3—41no—
1058C22×C3—42no—
1059C22×C3—42no—
1060C22×C3—41no—
1061C22×C3—42no—
1062C22×C3—62no—
1063C22×C3—62no—
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—61no—
1076C22×C3—61no—
1077C22×C3—61no—
1078C22×C3—61no—
1079C22×C3—61no—
1080C22×C3—92no—
1081C22×C3—121no—
1082C22×C3—121no—
1083C22×C3—121no—
1084C22×C3—121no—
1085C22×C3—121no—
1086C22×C3—121no—
1087C22×C3—121no—
1088C22×C3—124no—
1089C22×C3—124no—
1090C22×C3—128no—
1091C22×C3—181no—
1092C22×C3—181no—
1093C22×C3—181no—
1094C22×C3—181no—
1095C22×C3—181no—
1096C22×C3—364no—
1097C22×C3#381112yes—
1098C22×C3C3×D3×D412yes—
1099C22×C3C3×D3×D412yes—
1100C22×C3C22×D3211yescharacteristic
1101C22×C3C23×C3×D311yescharacteristic
1102C22×C3C23×C3×D311yescharacteristic
1103C2×D3—21no—
1104C2×D3—21no—
1105C2×D3—21no—
1106C2×D3—21no—
1107C2×D3—21no—
1108C2×D3—21no—
1109C2×D3—21no—
1110C2×D3—21no—
1111C2×D3—32no—
1112C2×D3—32no—
1113C2×D3—44no—
1114C2×D3—62no—
1115C2×D3—61no—
1116C2×D3—61no—
1117C2×D3—61no—
1118C2×D3—61no—
1119C2×D3—62no—
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—121no—
1130C2×D3—124no—
1131C2×D3—124no—
1132C2×D3C3×#23512yescomplemented
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—41no—
1142C3×C4—41no—
1143C3×C4—41no—
1144C3×C4—41no—
1145C3×C4—42no—
1146C3×C4—42no—
1147C3×C4—61no—
1148C3×C4—61no—
1149C3×C4—61no—
1150C3×C4—61no—
1151C3×C4—61no—
1152C3×C4—61no—
1153C3×C4—61no—
1154C3×C4—61no—
1155C3×C4—61no—
1156C3×C4—61no—
1157C3×C4—92no—
1158C3×C4—121no—
1159C3×C4—121no—
1160C3×C4—121no—
1161C3×C4—121no—
1162C3×C4—121no—
1163C3×C4—181no—
1164Dic3—21no—
1165Dic3—21no—
1166Dic3—21no—
1167Dic3—21no—
1168Dic3—21no—
1169Dic3—32no—
1170Dic3—32no—
1171Dic3—62no—
1172Dic3—62no—
1173Dic3—61no—
1174Dic3—61no—
1175C32—21no—
1176C32—21no—
1177C32—21no—
1178C32—41no—
1179C32#549011yescharacteristic, complemented
1180C32#565411yescharacteristic, complemented
1181C32C3×#54611yescharacteristic, complemented
1182C23—31no—
1183C23—31no—
1184C23—31no—
1185C23—62no—
1186C23—62no—
1187C23—91no—
1188C23—91no—
1189C23—121no—
1190C23—182no—
1191C23—182no—
1192C23—361no—
1193C23C2×C3×D3211yescharacteristic
1194Q8—182no—
1195D4—62no—
1196D4—94no—
1197D4—182no—
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—31no—
1210C2×C4—91no—
1211C2×C4—91no—
1212C2×C4—121no—
1213C2×C4—182no—
1214C2×C4—182no—
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—122no—
1241C2×C3—122no—
1242C2×C3—121no—
1243C2×C3—121no—
1244C2×C3—121no—
1245C2×C3—121no—
1246C2×C3—182no—
1247C2×C3—241no—
1248C2×C3—361no—
1249C2×C3D3×#23511yescharacteristic
1250C2×C3#6430711yescharacteristic
1251C2×C3C2×#381111yescharacteristic
1252C2×C3C2×C3×#23511yescharacteristic
1253C2×C3C2×C3×D3×D411yescharacteristic
1254C2×C3C2×C3×D3×D411yescharacteristic
1255C2×C3C3×#100411yescharacteristic
1256C2×C3C3×D3×#4111yescharacteristic
1257C2×C3C3×#100911yescharacteristic
1258D3—22no—
1259D3—41no—
1260D3—41no—
1261D3—62no—
1262D3—62no—
1263D3—122no—
1264D3—122no—
1265D3—121no—
1266D3—121no—
1267C22—21no—
1268C22—21no—
1269C22—32no—
1270C22—61no—
1271C22—61no—
1272C22—61no—
1273C22—61no—
1274C22—61no—
1275C22—61no—
1276C22—61no—
1277C22—61no—
1278C22—92no—
1279C22—124no—
1280C22—181no—
1281C22—181no—
1282C22—181no—
1283C22—181no—
1284C22—181no—
1285C22—364no—
1286C22C3×#381112yes—
1287C22C22×C3×D3211yescharacteristic
1288C4—21no—
1289C4—21no—
1290C4—61no—
1291C4—61no—
1292C4—61no—
1293C4—61no—
1294C4—61no—
1295C4—92no—
1296C4—181no—
1297C3—21no—
1298C3—21no—
1299C3—21no—
1300C3—41no—
1301C3#1059507711yescharacteristic, direct product factor
1302C3C3×#549011yescharacteristic, complemented
1303C3C3×#565411yescharacteristic, complemented
1304C2—22no—
1305C2—62no—
1306C2—121no—
1307C2—121no—
1308C2—182no—
1309C2—361no—
1310C2C3×D3×#23511yescharacteristic
1311C2C3×#6430711yescharacteristic
1312C2C2×C3×#381111yescharacteristic
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×#3828C2semidirect
2. C2×C3×D3×#67C2semidirect
3. C32×#929C2semidirect
4. C2×C32×(C2×D3)⋊C4C2semidirect
5. C3×#63978C2semidirect
6. C3×#63977C2semidirect
7. C3×#63952C2semidirect
8. C3×#63923C2semidirect
9. C3×#63921C2semidirect
10. C3×#63913C2semidirect
11. C3×#63912C2semidirect
12. C3×#63910C2semidirect
13. C3×#63896C2semidirect
14. C3×#63881C2semidirect
15. C3×#63853C2semidirect
18. #10595077C3direct (N × H)
21. C22×C33×C4C22semidirect
23. C2×C3×#638C22semidirect
25. C2×C3×C4⋊(C3⋊D3)C22semidirect
26. C2×C3×C4×C3⋊D3C22semidirect
27. C2×C3×C4×C3⋊D3C22semidirect
28. C2×C3×#634C22semidirect
30. C22×C32×Dic3C22semidirect
34. C2×C3×#626C22semidirect
35. C2×C3×#626C22semidirect
37. C2×C3×#624C22semidirect
39. C32×#217C22semidirect
42. C32×(C2×D3)⋊C4C22semidirect
43. C32×(C2×D3)⋊C4C22semidirect
44. C32×(C2×D3)⋊C4C22semidirect
45. C32×(C2×D3)⋊C4C22semidirect
46. C32×Dic3⋊C4C22semidirect
47. C32×Dic3⋊C4C22semidirect
48. C3×#3724C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
50. C3×#3722C22semidirect
51. C3×#3722C22semidirect
53. C3×(C2×D3)⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
56. C2×#3828C2×C3semidirect
62. C2×D3×#67C2×C3semidirect
69. C3×#929D3semidirect
70. C3×#929C2×C3semidirect
73. C2×C3×(C2×D3)⋊C4D3semidirect
74. C2×C3×(C2×D3)⋊C4C2×C3semidirect
93. #63978C2×C3semidirect
94. #63977C2×C3semidirect
95. #63952C2×C3semidirect
96. #63923C2×C3semidirect
97. #63921C2×C3semidirect
98. #63913C2×C3semidirect
99. #63912C2×C3semidirect
100. #63910C2×C3semidirect
101. #63896C2×C3semidirect
102. #63881C2×C3semidirect
103. #63853C2×C3semidirect
120. C3×#638D4semidirect
157. C22×C32×C4C2×D3semidirect
158. C22×C32×C4C2×D3semidirect
159. C22×C32×C4C22×C3semidirect
161. C2×#638C22×C3semidirect
163. C2×C4⋊(C3⋊D3)C22×C3semidirect
164. C2×C4×C3⋊D3C22×C3semidirect
165. C2×C4×C3⋊D3C22×C3semidirect
166. C2×#634C22×C3semidirect
185. C22×C3×Dic3C2×D3semidirect
186. C22×C3×Dic3C22×C3semidirect
213. C2×#626C22×C3semidirect
214. C2×#626C22×C3semidirect
216. C2×#624C22×C3semidirect
231. C3×#217C2×D3semidirect
232. C3×#217C22×C3semidirect
248. C3×(C2×D3)⋊C4C2×D3semidirect
249. C3×(C2×D3)⋊C4C2×D3semidirect
250. C3×(C2×D3)⋊C4C2×D3semidirect
251. C3×(C2×D3)⋊C4C2×D3semidirect
254. C3×(C2×D3)⋊C4C22×C3semidirect
255. C3×(C2×D3)⋊C4C22×C3semidirect
256. C3×(C2×D3)⋊C4C22×C3semidirect
257. C3×(C2×D3)⋊C4C22×C3semidirect
264. C3×Dic3⋊C4C2×D3semidirect
265. C3×Dic3⋊C4C2×D3semidirect
266. C3×Dic3⋊C4C22×C3semidirect
267. C3×Dic3⋊C4C22×C3semidirect
270. #3724C22×C3semidirect
271. Dic3⋊Dic3C22×C3semidirect
272. #3722C22×C3semidirect
273. #3722C22×C3semidirect
275. (C2×D3)⋊Dic3C22×C3semidirect
276. (C2×D3)⋊Dic3C22×C3semidirect
277. Dic32C22×C3semidirect
297. C2×C32×D3#41semidirect
335. #929C3×D3semidirect
337. C2×(C2×D3)⋊C4C3×D3semidirect
433. #638C3×D4semidirect
548. C22×C3×C4D32semidirect
549. C22×C3×C4C2×C3×D3semidirect
550. C22×C3×C4C2×C3×D3semidirect
566. C22×Dic3C2×C3×D3semidirect
628. #217C2×C3×D3semidirect
638. (C2×D3)⋊C4C2×C3×D3semidirect
639. (C2×D3)⋊C4C2×C3×D3semidirect
640. (C2×D3)⋊C4C2×C3×D3semidirect
641. (C2×D3)⋊C4C2×C3×D3semidirect
646. Dic3⋊C4C2×C3×D3semidirect
647. Dic3⋊C4C2×C3×D3semidirect
742. C2×C3×D3#235semidirect
743. C2×C3×D3C3×#41semidirect
802. C33#546semidirect
1020. C22×C4C3×D32semidirect
1132. C2×D3C3×#235semidirect
1179. C32#5490semidirect
1180. C32#5654semidirect
1181. C32C3×#546semidirect
1301. C3#10595077direct (N × H)
1302. C3C3×#5490semidirect
1303. C3C3×#5654semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C2×C3×D3×#672
C32×#9292
C2×C32×(C2×D3)⋊C42
C3×#639782
C3×#639772
C3×#639522
C3×#639232
C3×#639212
C3×#639132
C3×#639122
C3×#639102
C3×#638962
C3×#638812
C3×#638532
C3×#56543
C3×#54903
#105950773