Finite Group Databasebeta

← C3×#10595068 #13174665

Subgroups — C3×#10595068 #13174665

Order 1728.

1764 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#235C211yesmaximal, characteristic, complemented
2C2×C3×#3811C211yesmaximal, characteristic, complemented
3C2×C3×#3752C211yesmaximal, characteristic, complemented
4C32×#929C211yesmaximal, characteristic, complemented
5C3×#63981C211yesmaximal, characteristic, complemented
6C3×#63980C211yesmaximal, characteristic, complemented
7C3×#67⋊Dic3C211yesmaximal, characteristic, complemented
8C3×#63922C211yesmaximal, characteristic, complemented
9C3×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
10C3×#63907C211yesmaximal, characteristic, complemented
11C3×#63906C211yesmaximal, characteristic, complemented
12C3×#63904C211yesmaximal, characteristic, complemented
13C3×#63888C211yesmaximal, characteristic, complemented
14C3×#63886C211yesmaximal, characteristic, complemented
15C3×#63850C211yesmaximal, characteristic, complemented
16C3×#5829—31nomaximal
17C3×#5654—31nomaximal
18#10595068C311yesmaximal, characteristic, direct product factor
19C23×C3×C3⋊D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C22×C33×C4C2211yescharacteristic, complemented
22C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
23C2×C32×#67C2211yescharacteristic
24C2×C32×#67C2211yescharacteristic
25C2×C32×#67C2211yescharacteristic, complemented
26C32×#235—24no—
27C2×C32×D12C2211yescharacteristic, complemented
28C2×C32×C4×D3C2211yescharacteristic, complemented
29C2×C32×C4×D3C2211yescharacteristic, complemented
30C2×C32×Dic6C2211yescharacteristic, complemented
31C3×#3811—24no—
32C2×C3×#626C2211yescharacteristic
33C2×C3×#626C2211yescharacteristic
34C2×C3×#626C2211yescharacteristic
35C2×C3×#626C2211yescharacteristic, complemented
36C2×C3×#625C2211yescharacteristic, complemented
37C2×C3×#624C2211yescharacteristic
38C2×C3×D3×Dic3C2211yescharacteristic, complemented
39C3×#3752C2211yescharacteristic
40C3×#3752C2211yescharacteristic
41C3×#3752C2211yescharacteristic, complemented
42C3×#3752C2211yescharacteristic, complemented
43C32×#217C2211yescharacteristic, 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
51C3×#3722C2211yescharacteristic, complemented
52C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
53C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C2×C32×#41—31no—
57C2×C3×D3×D4—31no—
58C2×C3×D3×D4—31no—
59C2×C3×#235—21no—
60C2×C3×#235D311yescharacteristic, complemented
61C2×C3×#235C2×C311yescharacteristic, complemented
62C2×#3811C2×C311yescharacteristic, complemented
63C32×#123—31no—
64C2×#3752C2×C311yescharacteristic, complemented
65C3×#947—31no—
66C3×#946—31no—
67C3×#939—31no—
68C3×#939—31no—
69C3×#939—31no—
70C3×#937—31no—
71C3×#937—31no—
72C3×D4×Dic3—31no—
73C3×#930—31no—
74C3×#929—21no—
75C3×#929—31no—
76C3×#929D311yescharacteristic, complemented
77C3×#929C2×C311yescharacteristic, complemented
78C3×C4×#67—31no—
79C2×C3×(C2×D3)⋊C4—31no—
80C2×C3×(C2×D3)⋊C4—31no—
81C2×C3×(C2×D3)⋊C4—31no—
82C2×C3×(C2×D3)⋊C4—61no—
83C3×#896—31no—
84C3×#895—31no—
85C3×#894—31no—
86C3×#893—31no—
87C3×#885—31no—
88C3×#884—31no—
89C3×#882—31no—
90C3×#882—31no—
91C3×#67⋊C4—31no—
92C3×D3×C22⋊C4—31no—
93#63981C2×C311yescharacteristic, complemented
94#63980C2×C311yescharacteristic, complemented
95#67⋊Dic3C2×C311yescharacteristic, complemented
96#63922C2×C311yescharacteristic, complemented
97D3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
98#63907C2×C311yescharacteristic, complemented
99#63906C2×C311yescharacteristic, complemented
100#63904C2×C311yescharacteristic, complemented
101#63888C2×C311yescharacteristic, complemented
102#63886C2×C311yescharacteristic, complemented
103#63850C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C22×C3×C3⋊D3—22no—
106C22×C3×C3⋊D3—22no—
107C22×C3×C3⋊D3—41no—
108C22×C3×C3⋊D3C2311yescharacteristic
109C22×C3×C3⋊D3C2311yescharacteristic
110C22×C32×D3C2311yescharacteristic
111C22×C32×D3C2311yescharacteristic
112C22×C32×D3C2311yescharacteristic
113C2×C3×D32—22no—
114C2×C3×D32—22no—
115C2×C3×D32—41no—
116C2×C33×C4—22no—
117C2×C33×C4C2311yescharacteristic
118C2×C33×C4C2311yescharacteristic
119C2×C3×C3⋊Dic3—41no—
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C32×#67—22no—
123C32×#67—22no—
124C32×#67D414yescomplemented
125C2×C32×Dic3C2311yescharacteristic
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C2×C32×Dic3C2311yescharacteristic
130C32×D12—22no—
131C32×C4×D3—22no—
132C32×C4×D3—22no—
133C32×Dic6—22no—
134C3×#626—22no—
135C3×#626—22no—
136C3×#626—22no—
137C3×#626—41no—
138C3×#625—41no—
139C3×#624—22no—
140C3×D3×Dic3—41no—
141C3×#546—91no—
142#5829—31no—
143#5654—31no—
144C23×C3⋊D3C22×C311yescharacteristic
145C23×C3×D3—31no—
146C23×C3×D3—31no—
147C23×C3×D3—31no—
148C23×C3×D3—31no—
149C23×C3×D3—61no—
150C22×D32C22×C311yescharacteristic
151C32×#41—64no—
152C2×C32×Q8—31no—
153C2×C32×D4—31no—
154C2×C32×D4—31no—
155C2×C32×D4—31no—
156C2×C32×D4—31no—
157C22×C32×C4—21no—
158C22×C32×C4—21no—
159C22×C32×C4—21no—
160C22×C32×C4—31no—
161C22×C32×C4—31no—
162C22×C32×C4—41no—
163C22×C32×C4C2×D311yescharacteristic, complemented
164C22×C32×C4C2×D311yescharacteristic, complemented
165C22×C32×C4C22×C311yescharacteristic, complemented
166C22×C3⋊Dic3C22×C311yescharacteristic, complemented
167C2×C3×#67—21no—
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×#67C2×D311yescharacteristic
177C2×C3×#67C2×D311yescharacteristic
178C2×C3×#67C2×D311yescharacteristic, complemented
179C2×C3×#67C22×C311yescharacteristic
180C2×C3×#67C22×C311yescharacteristic
181C2×C3×#67C22×C311yescharacteristic, complemented
182C22×C3×Dic3—31no—
183C22×C3×Dic3—31no—
184C22×C3×Dic3—31no—
185C22×C3×Dic3—61no—
186C3×D3×D4—64no—
187C3×D3×D4—64no—
188C3×#235—28no—
189C3×#235—24no—
190C3×#235—24no—
191C2×C3×D12—21no—
192C2×C3×D12—31no—
193C2×C3×D12—31no—
194C2×C3×D12—31no—
195C2×C3×D12—31no—
196C2×C3×D12C2×D311yescharacteristic, complemented
197C2×C3×D12C22×C311yescharacteristic, complemented
198C2×C3×C4×D3—21no—
199C2×C3×C4×D3—21no—
200C2×C3×C4×D3—31no—
201C2×C3×C4×D3—31no—
202C2×C3×C4×D3—31no—
203C2×C3×C4×D3C2×D311yescharacteristic, complemented
204C2×C3×C4×D3C2×D311yescharacteristic, complemented
205C2×C3×C4×D3C22×C311yescharacteristic, complemented
206C2×C3×C4×D3C22×C311yescharacteristic, complemented
207C2×C3×Dic6—21no—
208C2×C3×Dic6C2×D311yescharacteristic, complemented
209C2×C3×Dic6C22×C311yescharacteristic, complemented
210#3811—24no—
211C2×#626C22×C311yescharacteristic
212C2×#626C22×C311yescharacteristic
213C2×#626C22×C311yescharacteristic
214C2×#626C22×C311yescharacteristic, complemented
215C2×#625C22×C311yescharacteristic, complemented
216C2×#624C22×C311yescharacteristic
217C2×D3×Dic3C22×C311yescharacteristic, complemented
218C32×C4⋊C4—31no—
219C32×C4⋊C4—31no—
220C32×C22⋊C4—31no—
221C32×C22⋊C4—31no—
222C32×C22⋊C4—31no—
223#3752C22×C311yescharacteristic
224#3752C22×C311yescharacteristic
225#3752C22×C311yescharacteristic, complemented
226#3752C22×C311yescharacteristic, complemented
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—31no—
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—31no—
247C3×(C2×D3)⋊C4—31no—
248C3×(C2×D3)⋊C4—31no—
249C3×(C2×D3)⋊C4—31no—
250C3×(C2×D3)⋊C4—61no—
251C3×(C2×D3)⋊C4—61no—
252C3×(C2×D3)⋊C4—61no—
253C3×(C2×D3)⋊C4—61no—
254C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
255C3×(C2×D3)⋊C4C2×D311yescharacteristic, 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
273#3722C22×C311yescharacteristic, complemented
274(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
275(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
276(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
277Dic32C22×C311yescharacteristic, complemented
278C22×C33—21no—
279C22×C33—21no—
280C22×C33C2×D412yes—
281C22×C33C2411yescharacteristic
282C2×C3×C3⋊D3—21no—
283C2×C3×C3⋊D3—21no—
284C2×C3×C3⋊D3—21no—
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3—21no—
287C2×C3×C3⋊D3—44no—
288C2×C3×C3⋊D3#4112yescomplemented
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—21no—
297C2×C32×D3C2×D412yes—
298C3×D32—44no—
299C33×C4—21no—
300C33×C4—21no—
301C3×C3⋊Dic3—21no—
302C3×C3⋊Dic3—21no—
303C32×Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3—21no—
307C32×Dic3C2×D412yes—
308C2×C3×#41—31no—
309C2×C3×#41—31no—
310C2×C3×#41—61no—
311C22×C3×D4—91no—
312C2×D3×D4—31no—
313C2×D3×D4—31no—
314C2×#235C3×D311yescharacteristic, complemented
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—91no—
329C2×C3×C22⋊C4—91no—
330#947—31no—
331#946—31no—
332#939—31no—
333#939—31no—
334#939—31no—
335#937—31no—
336#937—31no—
337D4×Dic3—31no—
338#930—31no—
339#929—31no—
340#929C3×D311yescharacteristic, complemented
341C4×#67—31no—
342C2×(C2×D3)⋊C4—31no—
343C2×(C2×D3)⋊C4—31no—
344C2×(C2×D3)⋊C4—31no—
345C2×(C2×D3)⋊C4—61no—
346#896—31no—
347#895—31no—
348#894—31no—
349#893—31no—
350#885—31no—
351#884—31no—
352#882—31no—
353#882—31no—
354#67⋊C4—31no—
355D3×C22⋊C4—31no—
356C23×C32—21no—
357C23×C32—21no—
358C23×C32—21no—
359C23×C32—31no—
360C23×C32—31no—
361C23×C32—31no—
362C23×C32—41no—
363C23×C32C22×D311yescharacteristic
364C23×C32C22×D311yescharacteristic
365C23×C32C23×C311yescharacteristic
366C22×C3⋊D3—22no—
367C22×C3⋊D3—22no—
368C22×C3⋊D3—41no—
369C22×C3⋊D3C23×C311yescharacteristic
370C22×C3⋊D3C23×C311yescharacteristic
371C22×C3×D3—21no—
372C22×C3×D3—21no—
373C22×C3×D3—21no—
374C22×C3×D3—31no—
375C22×C3×D3—31no—
376C22×C3×D3—31no—
377C22×C3×D3—31no—
378C22×C3×D3—61no—
379C22×C3×D3—61no—
380C22×C3×D3—62no—
381C22×C3×D3—62no—
382C22×C3×D3—62no—
383C22×C3×D3—62no—
384C22×C3×D3—62no—
385C22×C3×D3—64no—
386C22×C3×D3—62no—
387C22×C3×D3—62no—
388C22×C3×D3—62no—
389C22×C3×D3—122no—
390C22×C3×D3—121no—
391C22×C3×D3—121no—
392C22×C3×D3—121no—
393C22×C3×D3—121no—
394C22×C3×D3—122no—
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×Q8—62no—
405C32×D4—34no—
406C32×D4—62no—
407C32×D4—62no—
408C32×D4—62no—
409C2×C32×C4—22no—
410C2×C32×C4—24no—
411C2×C32×C4—22no—
412C2×C32×C4—22no—
413C2×C32×C4—21no—
414C2×C32×C4—21no—
415C2×C32×C4—21no—
416C2×C32×C4—21no—
417C2×C32×C4—21no—
418C2×C32×C4—21no—
419C2×C32×C4—31no—
420C2×C32×C4—31no—
421C2×C32×C4—31no—
422C2×C32×C4—31no—
423C2×C32×C4—31no—
424C2×C32×C4—41no—
425C2×C32×C4—41no—
426C2×C32×C4—42no—
427C2×C32×C4—42no—
428C2×C32×C4—44no—
429C2×C32×C4—62no—
430C2×C32×C4—62no—
431C2×C32×C4C22×D311yescharacteristic
432C2×C32×C4C22×D311yescharacteristic
433C2×C32×C4C22×D311yescharacteristic
434C2×C32×C4C22×D311yescharacteristic
435C2×C32×C4C23×C311yescharacteristic
436C2×C32×C4C23×C311yescharacteristic
437C2×C3⋊Dic3—41no—
438C2×C3⋊Dic3C23×C311yescharacteristic
439C2×C3⋊Dic3C23×C311yescharacteristic
440C3×#67—24no—
441C3×#67—22no—
442C3×#67—22no—
443C3×#67—22no—
444C3×#67—22no—
445C3×#67—24no—
446C3×#67—42no—
447C3×#67—62no—
448C3×#67—62no—
449C3×#67—62no—
450C3×#67—121no—
451C3×#67—121no—
452C3×#67—121no—
453C3×#67#6714yescomplemented
454C3×#67C3×D414yescomplemented
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—61no—
465C2×C3×Dic3—61no—
466C2×C3×Dic3—121no—
467C2×C3×Dic3—121no—
468C2×C3×Dic3—121no—
469C2×C3×Dic3—122no—
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—24no—
481C3×D12—22no—
482C3×D12—22no—
483C3×D12—62no—
484C3×D12—62no—
485C3×D12—62no—
486C3×D12—121no—
487C3×C4×D3—24no—
488C3×C4×D3—24no—
489C3×C4×D3—22no—
490C3×C4×D3—22no—
491C3×C4×D3—22no—
492C3×C4×D3—22no—
493C3×C4×D3—62no—
494C3×C4×D3—62no—
495C3×C4×D3—121no—
496C3×Dic6—24no—
497C3×Dic6—22no—
498C3×Dic6—22no—
499#626—22no—
500#626—22no—
501#626—22no—
502#626—41no—
503#625—41no—
504#624—22no—
505D3×Dic3—41no—
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—91no—
517C24×C3—91no—
518C23×D3—31no—
519C23×D3—31no—
520C23×D3—31no—
521C23×D3—31no—
522C23×D3—61no—
523C3×#41—64no—
524C3×#41—64no—
525C3×#41—68no—
526C2×C3×Q8—31no—
527C2×C3×Q8—31no—
528C2×C3×Q8—61no—
529C2×C3×D4—31no—
530C2×C3×D4—31no—
531C2×C3×D4—31no—
532C2×C3×D4—31no—
533C2×C3×D4—31no—
534C2×C3×D4—31no—
535C2×C3×D4—31no—
536C2×C3×D4—31no—
537C2×C3×D4—61no—
538C2×C3×D4—61no—
539C2×C3×D4—61no—
540C2×C3×D4—61no—
541C2×C3×D4—91no—
542C2×C3×D4—91no—
543C2×C3×D4—91no—
544C2×C3×D4—91no—
545C2×C3×D4—91no—
546C2×C3×D4—184no—
547C22×C3×C4—21no—
548C22×C3×C4—21no—
549C22×C3×C4—21no—
550C22×C3×C4—31no—
551C22×C3×C4—31no—
552C22×C3×C4—31no—
553C22×C3×C4—31no—
554C22×C3×C4—41no—
555C22×C3×C4—61no—
556C22×C3×C4—61no—
557C22×C3×C4—91no—
558C22×C3×C4—91no—
559C22×C3×C4—91no—
560C22×C3×C4D3211yescharacteristic, complemented
561C22×C3×C4C2×C3×D311yescharacteristic, complemented
562C22×C3×C4C2×C3×D311yescharacteristic, complemented
563C2×#67—31no—
564C2×#67—31no—
565C2×#67—31no—
566C2×#67—31no—
567C2×#67—31no—
568C2×#67—31no—
569C2×#67C2×C3×D311yescharacteristic
570C2×#67C2×C3×D311yescharacteristic
571C2×#67C2×C3×D311yescharacteristic, complemented
572C22×Dic3—31no—
573C22×Dic3—31no—
574C22×Dic3—31no—
575C22×Dic3—61no—
576D3×D4—64no—
577D3×D4—64no—
578#235—24no—
579C2×D12—31no—
580C2×D12—31no—
581C2×D12—31no—
582C2×D12—31no—
583C2×D12C2×C3×D311yescharacteristic, complemented
584C2×C4×D3—31no—
585C2×C4×D3—31no—
586C2×C4×D3—31no—
587C2×C4×D3C2×C3×D311yescharacteristic, complemented
588C2×C4×D3C2×C3×D311yescharacteristic, complemented
589C2×Dic6C2×C3×D311yescharacteristic, complemented
590C3×C4⋊C4—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—61no—
605C3×C22⋊C4—61no—
606C3×C22⋊C4—61no—
607C3×C22⋊C4—91no—
608C3×C22⋊C4—91no—
609C3×C22⋊C4—91no—
610C3×C22⋊C4—91no—
611C3×C22⋊C4—91no—
612C3×C22⋊C4—91no—
613C3×C22⋊C4—91no—
614C3×C22⋊C4—91no—
615C3×C22⋊C4—91no—
616C3×C42—91no—
617#217—31no—
618#217—31no—
619#217—31no—
620#217C2×C3×D311yescharacteristic, complemented
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—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)⋊C4—61no—
637(C2×D3)⋊C4—61no—
638(C2×D3)⋊C4—61no—
639(C2×D3)⋊C4—61no—
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×C32D3×D412yes—
682C22×C32C2×#6712yes—
683C22×C32C2×C3×D412yes—
684C22×C32C23×D311yescharacteristic
685C22×C32C23×D311yescharacteristic
686C22×C32C24×C311yescharacteristic
687C2×C3⋊D3—21no—
688C2×C3⋊D3—21no—
689C2×C3⋊D3—21no—
690C2×C3⋊D3—21no—
691C2×C3⋊D3—21no—
692C2×C3⋊D3—44no—
693C2×C3⋊D3C3×#4112yescomplemented
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—62no—
722C2×C3×D3—61no—
723C2×C3×D3—61no—
724C2×C3×D3—61no—
725C2×C3×D3—61no—
726C2×C3×D3—62no—
727C2×C3×D3—61no—
728C2×C3×D3—61no—
729C2×C3×D3—61no—
730C2×C3×D3—61no—
731C2×C3×D3—61no—
732C2×C3×D3—61no—
733C2×C3×D3—121no—
734C2×C3×D3—121no—
735C2×C3×D3—121no—
736C2×C3×D3—121no—
737C2×C3×D3—124no—
738C2×C3×D3—124no—
739C2×C3×D3—124no—
740C2×C3×D3—124no—
741C2×C3×D3—128no—
742C2×C3×D3C2×#6712yes—
743C2×C3×D3C2×C3×D412yes—
744D32—44no—
745C32×C4—21no—
746C32×C4—21no—
747C32×C4—22no—
748C32×C4—22no—
749C32×C4—21no—
750C32×C4—21no—
751C32×C4—21no—
752C32×C4—21no—
753C32×C4—32no—
754C32×C4—41no—
755C32×C4—41no—
756C32×C4—41no—
757C32×C4—41no—
758C32×C4—42no—
759C32×C4—42no—
760C32×C4—61no—
761C32×C4—61no—
762C32×C4—61no—
763C32×C4—61no—
764C3⋊Dic3—21no—
765C3⋊Dic3—21no—
766C3×Dic3—22no—
767C3×Dic3—21no—
768C3×Dic3—21no—
769C3×Dic3—21no—
770C3×Dic3—21no—
771C3×Dic3—21no—
772C3×Dic3—21no—
773C3×Dic3—21no—
774C3×Dic3—21no—
775C3×Dic3—22no—
776C3×Dic3—41no—
777C3×Dic3—41no—
778C3×Dic3—41no—
779C3×Dic3—61no—
780C3×Dic3—61no—
781C3×Dic3—61no—
782C3×Dic3—61no—
783C3×Dic3—121no—
784C3×Dic3—121no—
785C3×Dic3C2×#6712yes—
786C3×Dic3C2×C3×D412yes—
787C2×#41—31no—
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—91no—
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—91no—
817C23×C3—91no—
818C23×C3—182no—
819C23×C3—182no—
820C23×C3—182no—
821C23×C3—182no—
822C23×C3—361no—
823C23×C3—361no—
824C23×C3C2×D3211yescharacteristic
825C23×C3C22×C3×D311yescharacteristic
826C23×C3C22×C3×D311yescharacteristic
827C22×D3—31no—
828C22×D3—31no—
829C22×D3—31no—
830C22×D3—31no—
831C22×D3—61no—
832C22×D3—61no—
833C22×D3—62no—
834C22×D3—62no—
835C22×D3—62no—
836C22×D3—62no—
837C22×D3—62no—
838C22×D3—64no—
839C22×D3—62no—
840C22×D3—62no—
841C22×D3—62no—
842C22×D3—122no—
843C22×D3—121no—
844C22×D3—121no—
845C22×D3—121no—
846C22×D3—121no—
847C22×D3—122no—
848C22×D3C22×C3×D311yescharacteristic
849C22×D3C22×C3×D311yescharacteristic
850C22×D3C22×C3×D311yescharacteristic
851C3×Q8—62no—
852C3×Q8—62no—
853C3×Q8—64no—
854C3×D4—34no—
855C3×D4—34no—
856C3×D4—64no—
857C3×D4—62no—
858C3×D4—62no—
859C3×D4—64no—
860C3×D4—64no—
861C3×D4—62no—
862C3×D4—62no—
863C3×D4—62no—
864C3×D4—62no—
865C3×D4—122no—
866C3×D4—182no—
867C3×D4—182no—
868C3×D4—182no—
869C3×D4—361no—
870C3×D4—361no—
871C2×C3×C4—24no—
872C2×C3×C4—22no—
873C2×C3×C4—22no—
874C2×C3×C4—22no—
875C2×C3×C4—21no—
876C2×C3×C4—21no—
877C2×C3×C4—21no—
878C2×C3×C4—21no—
879C2×C3×C4—21no—
880C2×C3×C4—21no—
881C2×C3×C4—31no—
882C2×C3×C4—31no—
883C2×C3×C4—31no—
884C2×C3×C4—31no—
885C2×C3×C4—31no—
886C2×C3×C4—31no—
887C2×C3×C4—31no—
888C2×C3×C4—31no—
889C2×C3×C4—31no—
890C2×C3×C4—31no—
891C2×C3×C4—42no—
892C2×C3×C4—42no—
893C2×C3×C4—44no—
894C2×C3×C4—41no—
895C2×C3×C4—41no—
896C2×C3×C4—61no—
897C2×C3×C4—61no—
898C2×C3×C4—61no—
899C2×C3×C4—61no—
900C2×C3×C4—61no—
901C2×C3×C4—62no—
902C2×C3×C4—62no—
903C2×C3×C4—62no—
904C2×C3×C4—62no—
905C2×C3×C4—64no—
906C2×C3×C4—64no—
907C2×C3×C4—91no—
908C2×C3×C4—91no—
909C2×C3×C4—182no—
910C2×C3×C4—361no—
911C2×C3×C4—361no—
912C2×C3×C4C2×D3211yescharacteristic
913C2×C3×C4C2×D3211yescharacteristic
914C2×C3×C4C22×C3×D311yescharacteristic
915C2×C3×C4C22×C3×D311yescharacteristic
916C2×C3×C4C22×C3×D311yescharacteristic
917C2×C3×C4C22×C3×D311yescharacteristic
918#67—22no—
919#67—22no—
920#67—62no—
921#67—62no—
922#67—62no—
923#67—121no—
924#67—121no—
925#67—121no—
926#67C3×#6714yescomplemented
927C2×Dic3—31no—
928C2×Dic3—31no—
929C2×Dic3—31no—
930C2×Dic3—31no—
931C2×Dic3—61no—
932C2×Dic3—61no—
933C2×Dic3—121no—
934C2×Dic3—121no—
935C2×Dic3—121no—
936C2×Dic3—122no—
937C2×Dic3C22×C3×D311yescharacteristic
938C2×Dic3C22×C3×D311yescharacteristic
939C2×Dic3C22×C3×D311yescharacteristic
940C2×Dic3C22×C3×D311yescharacteristic
941C2×Dic3C22×C3×D311yescharacteristic
942D12—22no—
943D12—62no—
944D12—62no—
945D12—62no—
946D12—121no—
947C4×D3—22no—
948C4×D3—22no—
949C4×D3—62no—
950C4×D3—62no—
951C4×D3—121no—
952Dic6—22no—
953C2×C32—22no—
954C2×C32—24no—
955C2×C32—22no—
956C2×C32—22no—
957C2×C32—21no—
958C2×C32—21no—
959C2×C32—21no—
960C2×C32—21no—
961C2×C32—21no—
962C2×C32—21no—
963C2×C32—21no—
964C2×C32—21no—
965C2×C32—21no—
966C2×C32—41no—
967C2×C32—41no—
968C2×C32—41no—
969C2×C32—42no—
970C2×C32—42no—
971C2×C32—44no—
972C2×C32—62no—
973C2×C32—121no—
974C2×C32—121no—
975C2×C32C2×D3×D411yescharacteristic
976C2×C32D3×#4111yescharacteristic
977C2×C32D3×#4111yescharacteristic
978C2×C32#100911yescharacteristic
979C2×C32#100911yescharacteristic
980C2×C32C22×#6711yescharacteristic
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—91no—
1002C24—91no—
1003#41—64no—
1004C2×Q8—31no—
1005C2×D4—31no—
1006C2×D4—31no—
1007C2×D4—31no—
1008C2×D4—31no—
1009C2×D4—91no—
1010C2×D4—91no—
1011C2×D4—91no—
1012C2×D4—91no—
1013C2×D4—91no—
1014C2×D4—184no—
1015C22×C4—31no—
1016C22×C4—31no—
1017C22×C4—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—91no—
1029C22⋊C4—91no—
1030C22⋊C4—91no—
1031C22⋊C4—91no—
1032C22⋊C4—91no—
1033C22⋊C4—91no—
1034C22⋊C4—91no—
1035C22⋊C4—91no—
1036C22⋊C4—91no—
1037C42—91no—
1038C22×C3—22no—
1039C22×C3—22no—
1040C22×C3—21no—
1041C22×C3—21no—
1042C22×C3—21no—
1043C22×C3—21no—
1044C22×C3—21no—
1045C22×C3—21no—
1046C22×C3—21no—
1047C22×C3—21no—
1048C22×C3—21no—
1049C22×C3—22no—
1050C22×C3—22no—
1051C22×C3—22no—
1052C22×C3—32no—
1053C22×C3—32no—
1054C22×C3—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—181no—
1089C22×C3—181no—
1090C22×C3—181no—
1091C22×C3—181no—
1092C22×C3—181no—
1093C22×C3—364no—
1094C22×C3—364no—
1095C22×C3D3×#6712yes—
1096C22×C3C3×D3×D412yes—
1097C22×C3C2×C3×#6712yes—
1098C22×C3C22×D3211yescharacteristic
1099C22×C3C23×C3×D311yescharacteristic
1100C22×C3C23×C3×D311yescharacteristic
1101C2×D3—21no—
1102C2×D3—21no—
1103C2×D3—21no—
1104C2×D3—21no—
1105C2×D3—21no—
1106C2×D3—21no—
1107C2×D3—21no—
1108C2×D3—21no—
1109C2×D3—32no—
1110C2×D3—32no—
1111C2×D3—62no—
1112C2×D3—61no—
1113C2×D3—61no—
1114C2×D3—61no—
1115C2×D3—61no—
1116C2×D3—62no—
1117C2×D3—61no—
1118C2×D3—61no—
1119C2×D3—61no—
1120C2×D3—61no—
1121C2×D3—61no—
1122C2×D3—61no—
1123C2×D3—121no—
1124C2×D3—121no—
1125C2×D3—121no—
1126C2×D3—121no—
1127C2×D3—124no—
1128C2×D3—124no—
1129C2×D3—124no—
1130C2×D3—124no—
1131C2×D3—128no—
1132C2×D3C2×C3×#6712yes—
1133C3×C4—22no—
1134C3×C4—22no—
1135C3×C4—21no—
1136C3×C4—21no—
1137C3×C4—21no—
1138C3×C4—21no—
1139C3×C4—21no—
1140C3×C4—21no—
1141C3×C4—32no—
1142C3×C4—32no—
1143C3×C4—41no—
1144C3×C4—41no—
1145C3×C4—41no—
1146C3×C4—41no—
1147C3×C4—42no—
1148C3×C4—42no—
1149C3×C4—62no—
1150C3×C4—62no—
1151C3×C4—61no—
1152C3×C4—61no—
1153C3×C4—61no—
1154C3×C4—61no—
1155C3×C4—61no—
1156C3×C4—61no—
1157C3×C4—61no—
1158C3×C4—61no—
1159C3×C4—121no—
1160C3×C4—121no—
1161C3×C4—121no—
1162C3×C4—181no—
1163C3×C4—181no—
1164Dic3—21no—
1165Dic3—21no—
1166Dic3—21no—
1167Dic3—21no—
1168Dic3—61no—
1169Dic3—61no—
1170Dic3—61no—
1171Dic3—61no—
1172Dic3—121no—
1173Dic3—121no—
1174Dic3C2×C3×#6712yes—
1175C32—21no—
1176C32—21no—
1177C32—21no—
1178C32—41no—
1179C32#565411yescharacteristic, complemented
1180C32#582911yescharacteristic, complemented
1181C32C3×#54611yescharacteristic, complemented
1182C23—31no—
1183C23—31no—
1184C23—31no—
1185C23—91no—
1186C23—91no—
1187C23—182no—
1188C23—182no—
1189C23—182no—
1190C23—182no—
1191C23—361no—
1192C23—361no—
1193C23C2×C3×D3211yescharacteristic
1194Q8—62no—
1195D4—34no—
1196D4—62no—
1197D4—62no—
1198D4—62no—
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—62no—
1211C2×C4—62no—
1212C2×C4—91no—
1213C2×C4—91no—
1214C2×C4—182no—
1215C2×C4—361no—
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×C3#6430611yescharacteristic
1250C2×C3#6430811yescharacteristic
1251C2×C3C2×D3×#6711yescharacteristic
1252C2×C3C2×C3×D3×D411yescharacteristic
1253C2×C3C3×D3×#4111yescharacteristic
1254C2×C3C3×D3×#4111yescharacteristic
1255C2×C3C3×#100911yescharacteristic
1256C2×C3C3×#100911yescharacteristic
1257C2×C3C22×C3×#6711yescharacteristic
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—181no—
1280C22—181no—
1281C22—181no—
1282C22—181no—
1283C22—181no—
1284C22—364no—
1285C22—364no—
1286C22C3×D3×#6712yes—
1287C22C22×C3×D3211yescharacteristic
1288C4—21no—
1289C4—21no—
1290C4—32no—
1291C4—61no—
1292C4—61no—
1293C4—61no—
1294C4—61no—
1295C4—181no—
1296C4—181no—
1297C3—21no—
1298C3—21no—
1299C3—21no—
1300C3—41no—
1301C3#1059506811yescharacteristic, direct product factor
1302C3C3×#565411yescharacteristic, complemented
1303C3C3×#582911yescharacteristic, complemented
1304C2—22no—
1305C2—62no—
1306C2—121no—
1307C2—121no—
1308C2—182no—
1309C2—361no—
1310C2C3×#6430611yescharacteristic
1311C2C3×#6430811yescharacteristic
1312C2C2×C3×D3×#6711yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C32×#235C2semidirect
2. C2×C3×#3811C2semidirect
3. C2×C3×#3752C2semidirect
4. C32×#929C2semidirect
5. C3×#63981C2semidirect
6. C3×#63980C2semidirect
7. C3×#67⋊Dic3C2semidirect
8. C3×#63922C2semidirect
9. C3×D3×(C2×D3)⋊C4C2semidirect
10. C3×#63907C2semidirect
11. C3×#63906C2semidirect
12. C3×#63904C2semidirect
13. C3×#63888C2semidirect
14. C3×#63886C2semidirect
15. C3×#63850C2semidirect
18. #10595068C3direct (N × H)
21. C22×C33×C4C22semidirect
22. C22×C3×C3⋊Dic3C22semidirect
25. C2×C32×#67C22semidirect
27. C2×C32×D12C22semidirect
28. C2×C32×C4×D3C22semidirect
29. C2×C32×C4×D3C22semidirect
30. C2×C32×Dic6C22semidirect
35. C2×C3×#626C22semidirect
36. C2×C3×#625C22semidirect
38. C2×C3×D3×Dic3C22semidirect
41. C3×#3752C22semidirect
42. C3×#3752C22semidirect
43. C32×#217C22semidirect
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
51. C3×#3722C22semidirect
52. C3×(C2×D3)⋊Dic3C22semidirect
53. C3×(C2×D3)⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C2×C3×#235D3semidirect
61. C2×C3×#235C2×C3semidirect
62. C2×#3811C2×C3semidirect
64. C2×#3752C2×C3semidirect
76. C3×#929D3semidirect
77. C3×#929C2×C3semidirect
93. #63981C2×C3semidirect
94. #63980C2×C3semidirect
95. #67⋊Dic3C2×C3semidirect
96. #63922C2×C3semidirect
97. D3×(C2×D3)⋊C4C2×C3semidirect
98. #63907C2×C3semidirect
99. #63906C2×C3semidirect
100. #63904C2×C3semidirect
101. #63888C2×C3semidirect
102. #63886C2×C3semidirect
103. #63850C2×C3semidirect
124. C32×#67D4semidirect
163. C22×C32×C4C2×D3semidirect
164. C22×C32×C4C2×D3semidirect
165. C22×C32×C4C22×C3semidirect
166. C22×C3⋊Dic3C22×C3semidirect
178. C2×C3×#67C2×D3semidirect
181. C2×C3×#67C22×C3semidirect
196. C2×C3×D12C2×D3semidirect
197. C2×C3×D12C22×C3semidirect
203. C2×C3×C4×D3C2×D3semidirect
204. C2×C3×C4×D3C2×D3semidirect
205. C2×C3×C4×D3C22×C3semidirect
206. C2×C3×C4×D3C22×C3semidirect
208. C2×C3×Dic6C2×D3semidirect
209. C2×C3×Dic6C22×C3semidirect
214. C2×#626C22×C3semidirect
215. C2×#625C22×C3semidirect
217. C2×D3×Dic3C22×C3semidirect
225. #3752C22×C3semidirect
226. #3752C22×C3semidirect
231. C3×#217C2×D3semidirect
232. C3×#217C22×C3semidirect
254. C3×(C2×D3)⋊C4C2×D3semidirect
255. C3×(C2×D3)⋊C4C2×D3semidirect
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
273. #3722C22×C3semidirect
274. (C2×D3)⋊Dic3C22×C3semidirect
275. (C2×D3)⋊Dic3C22×C3semidirect
276. (C2×D3)⋊Dic3C22×C3semidirect
277. Dic32C22×C3semidirect
288. C2×C3×C3⋊D3#41semidirect
314. C2×#235C3×D3semidirect
340. #929C3×D3semidirect
453. C3×#67#67semidirect
454. C3×#67C3×D4semidirect
560. C22×C3×C4D32semidirect
561. C22×C3×C4C2×C3×D3semidirect
562. C22×C3×C4C2×C3×D3semidirect
571. C2×#67C2×C3×D3semidirect
583. C2×D12C2×C3×D3semidirect
587. C2×C4×D3C2×C3×D3semidirect
588. C2×C4×D3C2×C3×D3semidirect
589. C2×Dic6C2×C3×D3semidirect
620. #217C2×C3×D3semidirect
640. (C2×D3)⋊C4C2×C3×D3semidirect
641. (C2×D3)⋊C4C2×C3×D3semidirect
646. Dic3⋊C4C2×C3×D3semidirect
647. Dic3⋊C4C2×C3×D3semidirect
693. C2×C3⋊D3C3×#41semidirect
802. C33#546semidirect
926. #67C3×#67semidirect
1020. C22×C4C3×D32semidirect
1179. C32#5654semidirect
1180. C32#5829semidirect
1181. C32C3×#546semidirect
1301. C3#10595068direct (N × H)
1302. C3C3×#5654semidirect
1303. C3C3×#5829semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2352
C2×C3×#38112
C2×C3×#37522
C32×#9292
C3×#639812
C3×#639802
C3×#67⋊Dic32
C3×#639222
C3×D3×(C2×D3)⋊C42
C3×#639072
C3×#639062
C3×#639042
C3×#638882
C3×#638862
C3×#638502
C3×#58293
C3×#56543
#105950683