Finite Group Databasebeta

← C3×#10595130 #13174692

Subgroups — C3×#10595130 #13174692

Order 1728.

1692 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3805C211yesmaximal, characteristic, complemented
2C22×C3×D3×Dic3C211yesmaximal, characteristic, complemented
3C3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C32×#939C211yesmaximal, characteristic, complemented
5C32×#937C211yesmaximal, characteristic, complemented
6C3×#63976C211yesmaximal, characteristic, complemented
7C3×#67⋊Dic3C211yesmaximal, characteristic, complemented
8C3×#67⋊Dic3C211yesmaximal, characteristic, complemented
9C3×#63970C211yesmaximal, characteristic, complemented
10C3×#63969C211yesmaximal, characteristic, complemented
11C3×#63964C211yesmaximal, characteristic, complemented
12C3×#63902C211yesmaximal, characteristic, complemented
13C3×#63893C211yesmaximal, characteristic, complemented
14C3×#63891C211yesmaximal, characteristic, complemented
15C3×#63878C211yesmaximal, characteristic, complemented
16C3×#5606—31nomaximal
17C3×#5586—31nomaximal
18#10595130C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C2×C33×D4C2211yescharacteristic
21C22×C3×C3⋊Dic3C2211yescharacteristic
22C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
23C2×C32×#67C2211yescharacteristic
24C2×C32×#67C2211yescharacteristic
25C2×C32×#67C2211yescharacteristic
26C2×C32×#67C2211yescharacteristic, complemented
27C22×C32×Dic3C2211yescharacteristic
28C2×C3×#627C2211yescharacteristic, complemented
29C2×C3×#625C2211yescharacteristic
30C2×C3×#625C2211yescharacteristic
31C3×#3805—24no—
32C2×C3×D3×Dic3—24no—
33C2×C3×D3×Dic3C2211yescharacteristic
34C2×C3×D3×Dic3C2211yescharacteristic
35C2×C3×D3×Dic3C2211yescharacteristic
36C2×C3×D3×Dic3C2211yescharacteristic
37C2×C3×D3×Dic3C2211yescharacteristic, complemented
38C3×#3757C2211yescharacteristic
39C3×#3757C2211yescharacteristic, complemented
40C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
41C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
42C32×#217C2211yescharacteristic
43C32×#217C2211yescharacteristic, complemented
44C32×(C2×D3)⋊C4C2211yescharacteristic
45C32×(C2×D3)⋊C4C2211yescharacteristic
46C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C32×Dic3⋊C4C2211yescharacteristic, complemented
48C3×#3724C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×Dic3⋊Dic3C2211yescharacteristic, complemented
51C3×Dic3⋊Dic3C2211yescharacteristic, complemented
52C3×(C2×D3)⋊Dic3C2211yescharacteristic
53C3×(C2×D3)⋊Dic3C2211yescharacteristic
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C23×C3×Dic3—31no—
57C2×C3×#237—31no—
58C2×C3×#237—31no—
59C22×C3×C4×D3—31no—
60C2×#3805C2×C311yescharacteristic, complemented
61C22×D3×Dic3C2×C311yescharacteristic, complemented
62C32×#121—31no—
63C32×#120—31no—
64D4×C3⋊Dic3C2×C311yescharacteristic, complemented
65C3×#953—31no—
66C3×#939—21no—
67C3×#939—31no—
68C3×#939D311yescharacteristic, complemented
69C3×#939C2×C311yescharacteristic, complemented
70C3×#938—31no—
71C3×#937—21no—
72C3×#937—31no—
73C3×#937D311yescharacteristic, complemented
74C3×#937C2×C311yescharacteristic, complemented
75C3×#935—31no—
76C3×D4×Dic3—31no—
77C3×D4×Dic3—31no—
78C3×D4×Dic3—31no—
79C3×D4×Dic3—31no—
80C3×D4×Dic3—61no—
81C3×#924—31no—
82C3×#897—31no—
83C3×#892—31no—
84C3×#886—31no—
85C3×#883—31no—
86C3×#883—31no—
87C3×#67⋊C4—31no—
88C3×#67⋊C4—31no—
89C3×#67⋊C4—31no—
90C3×#67⋊C4—31no—
91C3×#878—31no—
92C3×#878—31no—
93C3×#877—31no—
94#63976C2×C311yescharacteristic, complemented
95#67⋊Dic3C2×C311yescharacteristic, complemented
96#67⋊Dic3C2×C311yescharacteristic, complemented
97#63970C2×C311yescharacteristic, complemented
98#63969C2×C311yescharacteristic, complemented
99#63964C2×C311yescharacteristic, complemented
100#63902C2×C311yescharacteristic, complemented
101#63893C2×C311yescharacteristic, complemented
102#63891C2×C311yescharacteristic, complemented
103#63878C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C23×C33C2311yescharacteristic
106C22×C32×D3—22no—
107C22×C32×D3—22no—
108C22×C32×D3—22no—
109C22×C32×D3C2311yescharacteristic
110C22×C32×D3C2311yescharacteristic
111C22×C32×D3C2311yescharacteristic
112C33×D4—22no—
113C2×C33×C4C2311yescharacteristic
114C2×C3×C3⋊Dic3—22no—
115C2×C3×C3⋊Dic3—22no—
116C2×C3×C3⋊Dic3C2311yescharacteristic
117C2×C3×C3⋊Dic3C2311yescharacteristic
118C2×C3×C3⋊Dic3C2311yescharacteristic
119C2×C3×C3⋊Dic3C2311yescharacteristic
120C32×#67—22no—
121C32×#67—22no—
122C32×#67—22no—
123C32×#67—22no—
124C2×C32×Dic3—22no—
125C2×C32×Dic3C2311yescharacteristic
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C2×C32×Dic3C2311yescharacteristic
130C3×#627—22no—
131C3×#625—22no—
132C3×#625—22no—
133C3×D3×Dic3—22no—
134C3×D3×Dic3—22no—
135C3×D3×Dic3—22no—
136C3×D3×Dic3—22no—
137C3×D3×Dic3D414yescomplemented
138C3×#525—91no—
139#5606—31no—
140#5586—31no—
141C24×C32—31no—
142C23×C3×D3—21no—
143C23×C3×D3C2×D311yescharacteristic
144C23×C3×D3C22×C311yescharacteristic
145C2×C32×D4—21no—
146C2×C32×D4—21no—
147C2×C32×D4—21no—
148C2×C32×D4—31no—
149C2×C32×D4—31no—
150C2×C32×D4—31no—
151C2×C32×D4—31no—
152C2×C32×D4—41no—
153C2×C32×D4C2×D311yescharacteristic
154C2×C32×D4C2×D311yescharacteristic
155C2×C32×D4C22×C311yescharacteristic
156C22×C32×C4—31no—
157C22×C3⋊Dic3C22×C311yescharacteristic
158C22×C3⋊Dic3C22×C311yescharacteristic, complemented
159C2×C3×#67—21no—
160C2×C3×#67—21no—
161C2×C3×#67—21no—
162C2×C3×#67—21no—
163C2×C3×#67—31no—
164C2×C3×#67—31no—
165C2×C3×#67—31no—
166C2×C3×#67—31no—
167C2×C3×#67C2×D311yescharacteristic
168C2×C3×#67C2×D311yescharacteristic
169C2×C3×#67C2×D311yescharacteristic
170C2×C3×#67C2×D311yescharacteristic, complemented
171C2×C3×#67C22×C311yescharacteristic
172C2×C3×#67C22×C311yescharacteristic
173C2×C3×#67C22×C311yescharacteristic
174C2×C3×#67C22×C311yescharacteristic, complemented
175C22×C3×Dic3—21no—
176C22×C3×Dic3—31no—
177C22×C3×Dic3—31no—
178C22×C3×Dic3—31no—
179C22×C3×Dic3—31no—
180C22×C3×Dic3—31no—
181C22×C3×Dic3—31no—
182C22×C3×Dic3—31no—
183C22×C3×Dic3—31no—
184C22×C3×Dic3—31no—
185C22×C3×Dic3—64no—
186C22×C3×Dic3—61no—
187C22×C3×Dic3—61no—
188C22×C3×Dic3C2×D311yescharacteristic
189C22×C3×Dic3C22×C311yescharacteristic
190C3×#237—64no—
191C3×#237—64no—
192C2×C3×C4×D3—31no—
193C2×C3×C4×D3—31no—
194C2×C3×C4×D3—31no—
195C2×C3×C4×D3—31no—
196C2×C3×C4×D3—31no—
197C2×C3×C4×D3—64no—
198C2×C3×Dic6—31no—
199C2×C3×Dic6—31no—
200C2×#627C22×C311yescharacteristic, complemented
201C2×#625C22×C311yescharacteristic
202C2×#625C22×C311yescharacteristic
203#3805—24no—
204C2×D3×Dic3—24no—
205C2×D3×Dic3C22×C311yescharacteristic
206C2×D3×Dic3C22×C311yescharacteristic
207C2×D3×Dic3C22×C311yescharacteristic
208C2×D3×Dic3C22×C311yescharacteristic
209C2×D3×Dic3C22×C311yescharacteristic, complemented
210C32×C4⋊C4—31no—
211C32×C22⋊C4—31no—
212C32×C22⋊C4—31no—
213C32×C22⋊C4—31no—
214C32×C22⋊C4—31no—
215C32×C22⋊C4—31no—
216#3757C22×C311yescharacteristic
217#3757C22×C311yescharacteristic, complemented
218C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
219C4×C3⋊Dic3C22×C311yescharacteristic, complemented
220C3×#217—21no—
221C3×#217—21no—
222C3×#217—31no—
223C3×#217—31no—
224C3×#217—31no—
225C3×#217—31no—
226C3×#217—31no—
227C3×#217—31no—
228C3×#217—31no—
229C3×#217—61no—
230C3×#217—61no—
231C3×#217C2×D311yescharacteristic
232C3×#217C2×D311yescharacteristic, complemented
233C3×#217C22×C311yescharacteristic
234C3×#217C22×C311yescharacteristic, complemented
235C3×(C2×D3)⋊C4—21no—
236C3×(C2×D3)⋊C4—21no—
237C3×(C2×D3)⋊C4—21no—
238C3×(C2×D3)⋊C4—31no—
239C3×(C2×D3)⋊C4—31no—
240C3×(C2×D3)⋊C4—31no—
241C3×(C2×D3)⋊C4C2×D311yescharacteristic
242C3×(C2×D3)⋊C4C2×D311yescharacteristic
243C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
244C3×(C2×D3)⋊C4C22×C311yescharacteristic
245C3×(C2×D3)⋊C4C22×C311yescharacteristic
246C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
247C3×C4⋊Dic3—31no—
248C3×C4⋊Dic3—31no—
249C3×C4⋊Dic3—31no—
250C3×C4⋊Dic3—31no—
251C3×C4⋊Dic3—31no—
252C3×C4⋊Dic3—61no—
253C3×Dic3⋊C4—21no—
254C3×Dic3⋊C4—31no—
255C3×Dic3⋊C4—31no—
256C3×Dic3⋊C4—31no—
257C3×Dic3⋊C4—31no—
258C3×Dic3⋊C4—31no—
259C3×Dic3⋊C4C2×D311yescharacteristic, complemented
260C3×Dic3⋊C4C22×C311yescharacteristic, complemented
261C3×C4×Dic3—31no—
262C3×C4×Dic3—31no—
263C3×C4×Dic3—31no—
264C3×C4×Dic3—31no—
265C3×C4×Dic3—61no—
266#3724C22×C311yescharacteristic, complemented
267Dic3⋊Dic3C22×C311yescharacteristic, complemented
268Dic3⋊Dic3C22×C311yescharacteristic, complemented
269Dic3⋊Dic3C22×C311yescharacteristic, complemented
270(C2×D3)⋊Dic3C22×C311yescharacteristic
271(C2×D3)⋊Dic3C22×C311yescharacteristic
272(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
273Dic32C22×C311yescharacteristic, complemented
274C22×C33—21no—
275C22×C33—21no—
276C22×C33—21no—
277C22×C33—21no—
278C22×C33—21no—
279C22×C33#4112yescomplemented
280C22×C33C2411yescharacteristic
281C2×C32×D3—28no—
282C2×C32×D3—21no—
283C2×C32×D3—21no—
284C2×C32×D3—21no—
285C2×C32×D3—21no—
286C2×C32×D3—21no—
287C2×C32×D3—21no—
288C2×C32×D3—21no—
289C2×C32×D3C2×D412yes—
290C2×C32×D3#4112yescomplemented
291C33×C4—21no—
292C3×C3⋊Dic3—21no—
293C3×C3⋊Dic3—21no—
294C3×C3⋊Dic3—21no—
295C3×C3⋊Dic3C2×D412yes—
296C32×Dic3—21no—
297C32×Dic3—21no—
298C32×Dic3—21no—
299C32×Dic3—21no—
300C32×Dic3C2×D412yes—
301C2×C3×#41—91no—
302C23×C3×C4—91no—
303C23×Dic3—31no—
304C2×#237—31no—
305C2×#237—31no—
306C22×C4×D3—31no—
307C3×#123—91no—
308C3×#123—91no—
309C3×C22⋊Q8—91no—
310C3×C22⋊Q8—91no—
311C3×#121—31no—
312C3×#121—31no—
313C3×#121—61no—
314C3×#121—91no—
315C3×#120—31no—
316C3×#120—31no—
317C3×#120—61no—
318C3×#120—91no—
319C3×C4×D4—91no—
320C3×C4×D4—91no—
321C3×C4×D4—91no—
322C3×C4×D4—91no—
323C3×#117—91no—
324#953—31no—
325#939—31no—
326#939C3×D311yescharacteristic, complemented
327#938—31no—
328#937—31no—
329#937C3×D311yescharacteristic, complemented
330#935—31no—
331D4×Dic3—31no—
332D4×Dic3—31no—
333D4×Dic3—31no—
334D4×Dic3—31no—
335D4×Dic3—61no—
336#924—31no—
337#897—31no—
338#892—31no—
339#886—31no—
340#883—31no—
341#883—31no—
342#67⋊C4—31no—
343#67⋊C4—31no—
344#67⋊C4—31no—
345#67⋊C4—31no—
346#878—31no—
347#878—31no—
348#877—31no—
349C23×C32—21no—
350C23×C32—21no—
351C23×C32—21no—
352C23×C32—21no—
353C23×C32—21no—
354C23×C32—21no—
355C23×C32—31no—
356C23×C32—31no—
357C23×C32—31no—
358C23×C32—41no—
359C23×C32—41no—
360C23×C32—62no—
361C23×C32—62no—
362C23×C32—62no—
363C23×C32C22×D311yescharacteristic
364C23×C32C22×D311yescharacteristic
365C23×C32C22×D311yescharacteristic
366C23×C32C22×D311yescharacteristic
367C23×C32C23×C311yescharacteristic
368C23×C32C23×C311yescharacteristic
369C22×C3×D3—22no—
370C22×C3×D3—22no—
371C22×C3×D3—22no—
372C22×C3×D3—22no—
373C22×C3×D3—22no—
374C22×C3×D3—22no—
375C22×C3×D3—21no—
376C22×C3×D3—21no—
377C22×C3×D3—21no—
378C22×C3×D3—42no—
379C22×C3×D3—42no—
380C22×C3×D3—42no—
381C22×C3×D3C22×D311yescharacteristic
382C22×C3×D3C22×D311yescharacteristic
383C22×C3×D3C22×D311yescharacteristic
384C22×C3×D3C23×C311yescharacteristic
385C22×C3×D3C23×C311yescharacteristic
386C22×C3×D3C23×C311yescharacteristic
387C32×D4—22no—
388C32×D4—24no—
389C32×D4—22no—
390C32×D4—22no—
391C32×D4—42no—
392C32×D4—42no—
393C32×D4—44no—
394C32×D4—62no—
395C32×D4—62no—
396C32×D4—62no—
397C32×D4—62no—
398C2×C32×C4—21no—
399C2×C32×C4—21no—
400C2×C32×C4—21no—
401C2×C32×C4—31no—
402C2×C32×C4—31no—
403C2×C32×C4—31no—
404C2×C32×C4—31no—
405C2×C32×C4—31no—
406C2×C32×C4—41no—
407C2×C32×C4—62no—
408C2×C32×C4C22×D311yescharacteristic
409C2×C32×C4C22×D311yescharacteristic
410C2×C32×C4C23×C311yescharacteristic
411C2×C3⋊Dic3—22no—
412C2×C3⋊Dic3—22no—
413C2×C3⋊Dic3C23×C311yescharacteristic
414C2×C3⋊Dic3C23×C311yescharacteristic
415C2×C3⋊Dic3C23×C311yescharacteristic
416C2×C3⋊Dic3C23×C311yescharacteristic
417C3×#67—22no—
418C3×#67—22no—
419C3×#67—22no—
420C3×#67—22no—
421C3×#67—22no—
422C3×#67—22no—
423C3×#67—22no—
424C3×#67—22no—
425C3×#67—42no—
426C3×#67—42no—
427C3×#67—42no—
428C3×#67—42no—
429C3×#67—62no—
430C3×#67—62no—
431C3×#67—62no—
432C3×#67—62no—
433C2×C3×Dic3—22no—
434C2×C3×Dic3—22no—
435C2×C3×Dic3—21no—
436C2×C3×Dic3—21no—
437C2×C3×Dic3—21no—
438C2×C3×Dic3—21no—
439C2×C3×Dic3—21no—
440C2×C3×Dic3—31no—
441C2×C3×Dic3—31no—
442C2×C3×Dic3—34no—
443C2×C3×Dic3—31no—
444C2×C3×Dic3—31no—
445C2×C3×Dic3—31no—
446C2×C3×Dic3—31no—
447C2×C3×Dic3—31no—
448C2×C3×Dic3—31no—
449C2×C3×Dic3—42no—
450C2×C3×Dic3—61no—
451C2×C3×Dic3—61no—
452C2×C3×Dic3—61no—
453C2×C3×Dic3—61no—
454C2×C3×Dic3—62no—
455C2×C3×Dic3—62no—
456C2×C3×Dic3—62no—
457C2×C3×Dic3—62no—
458C2×C3×Dic3—62no—
459C2×C3×Dic3—62no—
460C2×C3×Dic3—62no—
461C2×C3×Dic3—62no—
462C2×C3×Dic3—122no—
463C2×C3×Dic3—122no—
464C2×C3×Dic3C22×D311yescharacteristic
465C2×C3×Dic3C22×D311yescharacteristic
466C2×C3×Dic3C22×D311yescharacteristic
467C2×C3×Dic3C22×D311yescharacteristic
468C2×C3×Dic3C22×D311yescharacteristic
469C2×C3×Dic3C23×C311yescharacteristic
470C2×C3×Dic3C23×C311yescharacteristic
471C2×C3×Dic3C23×C311yescharacteristic
472C2×C3×Dic3C23×C311yescharacteristic
473C2×C3×Dic3C23×C311yescharacteristic
474C3×C4×D3—34no—
475C3×C4×D3—62no—
476C3×C4×D3—62no—
477C3×C4×D3—62no—
478C3×C4×D3—62no—
479C3×Dic6—62no—
480C3×Dic6—62no—
481#627—22no—
482#625—22no—
483#625—22no—
484D3×Dic3—22no—
485D3×Dic3—22no—
486D3×Dic3—22no—
487D3×Dic3—22no—
488D3×Dic3C3×D414yescomplemented
489#525—91noSylow
490C2×C33—22no—
491C2×C33—41no—
492C2×C33C22×D411yescharacteristic
493C2×C33C2×#4111yescharacteristic
494C2×C33C2×#4111yescharacteristic
495C32×D3—22no—
496C32×D3—22no—
497C32×D3—41no—
498C24×C3—31no—
499C24×C3—31no—
500C24×C3—61no—
501C23×D3C2×C3×D311yescharacteristic
502C3×#41—184no—
503C2×C3×Q8—91no—
504C2×C3×D4—21no—
505C2×C3×D4—21no—
506C2×C3×D4—21no—
507C2×C3×D4—31no—
508C2×C3×D4—31no—
509C2×C3×D4—31no—
510C2×C3×D4—31no—
511C2×C3×D4—31no—
512C2×C3×D4—31no—
513C2×C3×D4—31no—
514C2×C3×D4—31no—
515C2×C3×D4—41no—
516C2×C3×D4—61no—
517C2×C3×D4—61no—
518C2×C3×D4—61no—
519C2×C3×D4—61no—
520C2×C3×D4—91no—
521C2×C3×D4—91no—
522C2×C3×D4D3211yescharacteristic
523C2×C3×D4C2×C3×D311yescharacteristic
524C2×C3×D4C2×C3×D311yescharacteristic
525C22×C3×C4—31no—
526C22×C3×C4—31no—
527C22×C3×C4—61no—
528C22×C3×C4—91no—
529C22×C3×C4—91no—
530C22×C3×C4—91no—
531C22×C3×C4—91no—
532C22×C3×C4—91no—
533C22×C3×C4—91no—
534C22×C3×C4—91no—
535C22×C3×C4—184no—
536C2×#67—31no—
537C2×#67—31no—
538C2×#67—31no—
539C2×#67—31no—
540C2×#67C2×C3×D311yescharacteristic
541C2×#67C2×C3×D311yescharacteristic
542C2×#67C2×C3×D311yescharacteristic
543C2×#67C2×C3×D311yescharacteristic, complemented
544C22×Dic3—31no—
545C22×Dic3—31no—
546C22×Dic3—31no—
547C22×Dic3—31no—
548C22×Dic3—31no—
549C22×Dic3—31no—
550C22×Dic3—31no—
551C22×Dic3—31no—
552C22×Dic3—31no—
553C22×Dic3—61no—
554C22×Dic3—61no—
555C22×Dic3—64no—
556C22×Dic3C2×C3×D311yescharacteristic
557#237—64no—
558#237—64no—
559C2×C4×D3—31no—
560C2×C4×D3—31no—
561C2×C4×D3—31no—
562C2×C4×D3—31no—
563C2×C4×D3—31no—
564C2×C4×D3—64no—
565C2×Dic6—31no—
566C2×Dic6—31no—
567C3×C4⋊C4—31no—
568C3×C4⋊C4—31no—
569C3×C4⋊C4—61no—
570C3×C4⋊C4—91no—
571C3×C4⋊C4—91no—
572C3×C4⋊C4—91no—
573C3×C4⋊C4—91no—
574C3×C4⋊C4—91no—
575C3×C22⋊C4—31no—
576C3×C22⋊C4—31no—
577C3×C22⋊C4—31no—
578C3×C22⋊C4—31no—
579C3×C22⋊C4—31no—
580C3×C22⋊C4—31no—
581C3×C22⋊C4—31no—
582C3×C22⋊C4—31no—
583C3×C22⋊C4—31no—
584C3×C22⋊C4—31no—
585C3×C22⋊C4—61no—
586C3×C22⋊C4—61no—
587C3×C22⋊C4—61no—
588C3×C22⋊C4—61no—
589C3×C22⋊C4—61no—
590C3×C22⋊C4—91no—
591C3×C22⋊C4—91no—
592C3×C22⋊C4—91no—
593C3×C22⋊C4—91no—
594C3×C22⋊C4—91no—
595C3×C42—91no—
596C3×C42—91no—
597#217—31no—
598#217—31no—
599#217—31no—
600#217—31no—
601#217—31no—
602#217—31no—
603#217—31no—
604#217—61no—
605#217—61no—
606#217C2×C3×D311yescharacteristic
607#217C2×C3×D311yescharacteristic, complemented
608(C2×D3)⋊C4—31no—
609(C2×D3)⋊C4—31no—
610(C2×D3)⋊C4—31no—
611(C2×D3)⋊C4C2×C3×D311yescharacteristic
612(C2×D3)⋊C4C2×C3×D311yescharacteristic
613(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
614C4⋊Dic3—31no—
615C4⋊Dic3—31no—
616C4⋊Dic3—31no—
617C4⋊Dic3—31no—
618C4⋊Dic3—31no—
619C4⋊Dic3—61no—
620Dic3⋊C4—31no—
621Dic3⋊C4—31no—
622Dic3⋊C4—31no—
623Dic3⋊C4—31no—
624Dic3⋊C4—31no—
625Dic3⋊C4C2×C3×D311yescharacteristic, complemented
626C4×Dic3—31no—
627C4×Dic3—31no—
628C4×Dic3—31no—
629C4×Dic3—31no—
630C4×Dic3—61no—
631C22×C32—21no—
632C22×C32—21no—
633C22×C32—21no—
634C22×C32—21no—
635C22×C32—21no—
636C22×C32—21no—
637C22×C32—21no—
638C22×C32—22no—
639C22×C32—21no—
640C22×C32—21no—
641C22×C32—21no—
642C22×C32—21no—
643C22×C32—21no—
644C22×C32—21no—
645C22×C32—21no—
646C22×C32—21no—
647C22×C32—21no—
648C22×C32—21no—
649C22×C32—21no—
650C22×C32—22no—
651C22×C32—22no—
652C22×C32—22no—
653C22×C32—32no—
654C22×C32—32no—
655C22×C32—41no—
656C22×C32—42no—
657C22×C32—41no—
658C22×C32—41no—
659C22×C32—42no—
660C22×C32—41no—
661C22×C32—41no—
662C22×C32—41no—
663C22×C32—41no—
664C22×C32—41no—
665C22×C32—41no—
666C22×C32—41no—
667C22×C32—41no—
668C22×C32—41no—
669C22×C32—41no—
670C22×C32—41no—
671C22×C32—41no—
672C22×C32—68no—
673C22×C32—61no—
674C22×C32—61no—
675C22×C32—61no—
676C22×C32—61no—
677C22×C32—61no—
678C22×C32—61no—
679C22×C32—61no—
680C22×C32—81no—
681C22×C32—81no—
682C22×C32—81no—
683C22×C32—81no—
684C22×C32#23712yescomplemented
685C22×C32#23712yescomplemented
686C22×C32C3×#4112yescomplemented
687C22×C32C23×D311yescharacteristic
688C22×C32C23×D311yescharacteristic
689C22×C32C24×C311yescharacteristic
690C2×C3×D3—28no—
691C2×C3×D3—28no—
692C2×C3×D3—21no—
693C2×C3×D3—21no—
694C2×C3×D3—21no—
695C2×C3×D3—21no—
696C2×C3×D3—21no—
697C2×C3×D3—21no—
698C2×C3×D3—21no—
699C2×C3×D3—21no—
700C2×C3×D3—21no—
701C2×C3×D3—21no—
702C2×C3×D3—21no—
703C2×C3×D3—21no—
704C2×C3×D3—21no—
705C2×C3×D3—21no—
706C2×C3×D3—22no—
707C2×C3×D3—22no—
708C2×C3×D3—41no—
709C2×C3×D3—41no—
710C2×C3×D3—41no—
711C2×C3×D3—41no—
712C2×C3×D3—48no—
713C2×C3×D3—41no—
714C2×C3×D3—41no—
715C2×C3×D3—41no—
716C2×C3×D3D3×D412yes—
717C2×C3×D3#23712yescomplemented
718C2×C3×D3C2×C3×D412yes—
719C2×C3×D3C3×#4112yescomplemented
720C32×C4—21no—
721C32×C4—22no—
722C32×C4—21no—
723C32×C4—21no—
724C32×C4—32no—
725C32×C4—41no—
726C32×C4—41no—
727C32×C4—42no—
728C32×C4—61no—
729C32×C4—61no—
730C32×C4—61no—
731C32×C4—61no—
732C3⋊Dic3—21no—
733C3⋊Dic3—21no—
734C3⋊Dic3—21no—
735C3⋊Dic3C2×C3×D412yes—
736C3×Dic3—21no—
737C3×Dic3—21no—
738C3×Dic3—21no—
739C3×Dic3—21no—
740C3×Dic3—21no—
741C3×Dic3—21no—
742C3×Dic3—21no—
743C3×Dic3—21no—
744C3×Dic3—22no—
745C3×Dic3—32no—
746C3×Dic3—32no—
747C3×Dic3—41no—
748C3×Dic3—41no—
749C3×Dic3—41no—
750C3×Dic3—41no—
751C3×Dic3—62no—
752C3×Dic3—61no—
753C3×Dic3—61no—
754C3×Dic3—61no—
755C3×Dic3—61no—
756C3×Dic3—61no—
757C3×Dic3—61no—
758C3×Dic3—121no—
759C3×Dic3—121no—
760C3×Dic3—121no—
761C3×Dic3D3×D412yes—
762C3×Dic3C2×C3×D412yes—
763C2×#41—91no—
764C23×C4—91no—
765#123—91no—
766#123—91no—
767C22⋊Q8—91no—
768C22⋊Q8—91no—
769#121—31no—
770#121—91no—
771#120—31no—
772#120—91no—
773C4×D4—91no—
774C4×D4—91no—
775C4×D4—91no—
776C4×D4—91no—
777#117—91no—
778C33#52511yescharacteristic, complemented, Sylow
779C23×C3—21no—
780C23×C3—21no—
781C23×C3—21no—
782C23×C3—21no—
783C23×C3—21no—
784C23×C3—21no—
785C23×C3—31no—
786C23×C3—31no—
787C23×C3—31no—
788C23×C3—31no—
789C23×C3—31no—
790C23×C3—31no—
791C23×C3—41no—
792C23×C3—41no—
793C23×C3—61no—
794C23×C3—61no—
795C23×C3—61no—
796C23×C3—62no—
797C23×C3—62no—
798C23×C3—62no—
799C23×C3—62no—
800C23×C3—62no—
801C23×C3—62no—
802C23×C3—122no—
803C23×C3—122no—
804C23×C3—122no—
805C23×C3C2×D3211yescharacteristic
806C23×C3C2×D3211yescharacteristic
807C23×C3C22×C3×D311yescharacteristic
808C23×C3C22×C3×D311yescharacteristic
809C23×C3C22×C3×D311yescharacteristic
810C23×C3C22×C3×D311yescharacteristic
811C22×D3—22no—
812C22×D3—22no—
813C22×D3—22no—
814C22×D3C22×C3×D311yescharacteristic
815C22×D3C22×C3×D311yescharacteristic
816C22×D3C22×C3×D311yescharacteristic
817C3×Q8—182no—
818C3×D4—24no—
819C3×D4—22no—
820C3×D4—22no—
821C3×D4—22no—
822C3×D4—42no—
823C3×D4—42no—
824C3×D4—44no—
825C3×D4—62no—
826C3×D4—62no—
827C3×D4—62no—
828C3×D4—62no—
829C3×D4—62no—
830C3×D4—62no—
831C3×D4—62no—
832C3×D4—62no—
833C3×D4—122no—
834C3×D4—122no—
835C3×D4—122no—
836C3×D4—122no—
837C3×D4—182no—
838C3×D4—182no—
839C2×C3×C4—21no—
840C2×C3×C4—21no—
841C2×C3×C4—21no—
842C2×C3×C4—31no—
843C2×C3×C4—31no—
844C2×C3×C4—31no—
845C2×C3×C4—31no—
846C2×C3×C4—31no—
847C2×C3×C4—31no—
848C2×C3×C4—31no—
849C2×C3×C4—31no—
850C2×C3×C4—31no—
851C2×C3×C4—31no—
852C2×C3×C4—41no—
853C2×C3×C4—61no—
854C2×C3×C4—61no—
855C2×C3×C4—61no—
856C2×C3×C4—61no—
857C2×C3×C4—61no—
858C2×C3×C4—62no—
859C2×C3×C4—62no—
860C2×C3×C4—94no—
861C2×C3×C4—91no—
862C2×C3×C4—91no—
863C2×C3×C4—91no—
864C2×C3×C4—91no—
865C2×C3×C4—122no—
866C2×C3×C4—182no—
867C2×C3×C4—182no—
868C2×C3×C4—182no—
869C2×C3×C4—182no—
870C2×C3×C4—182no—
871C2×C3×C4—182no—
872C2×C3×C4C2×D3211yescharacteristic
873C2×C3×C4C22×C3×D311yescharacteristic
874C2×C3×C4C22×C3×D311yescharacteristic
875#67—22no—
876#67—22no—
877#67—22no—
878#67—22no—
879#67—62no—
880#67—62no—
881#67—62no—
882#67—62no—
883C2×Dic3—22no—
884C2×Dic3—31no—
885C2×Dic3—31no—
886C2×Dic3—34no—
887C2×Dic3—31no—
888C2×Dic3—31no—
889C2×Dic3—31no—
890C2×Dic3—31no—
891C2×Dic3—31no—
892C2×Dic3—31no—
893C2×Dic3—61no—
894C2×Dic3—61no—
895C2×Dic3—61no—
896C2×Dic3—61no—
897C2×Dic3—62no—
898C2×Dic3—62no—
899C2×Dic3—62no—
900C2×Dic3—62no—
901C2×Dic3—62no—
902C2×Dic3—62no—
903C2×Dic3—62no—
904C2×Dic3—62no—
905C2×Dic3—122no—
906C2×Dic3—122no—
907C2×Dic3C22×C3×D311yescharacteristic
908C2×Dic3C22×C3×D311yescharacteristic
909C2×Dic3C22×C3×D311yescharacteristic
910C2×Dic3C22×C3×D311yescharacteristic
911C2×Dic3C22×C3×D311yescharacteristic
912C4×D3—34no—
913C4×D3—62no—
914C4×D3—62no—
915C4×D3—62no—
916C4×D3—62no—
917Dic6—62no—
918Dic6—62no—
919C2×C32—22no—
920C2×C32—22no—
921C2×C32—22no—
922C2×C32—21no—
923C2×C32—21no—
924C2×C32—21no—
925C2×C32—21no—
926C2×C32—21no—
927C2×C32—21no—
928C2×C32—21no—
929C2×C32—21no—
930C2×C32—21no—
931C2×C32—41no—
932C2×C32—41no—
933C2×C32—41no—
934C2×C32—42no—
935C2×C32—42no—
936C2×C32—42no—
937C2×C32—41no—
938C2×C32—42no—
939C2×C32—41no—
940C2×C32—41no—
941C2×C32—62no—
942C2×C32—62no—
943C2×C32—82no—
944C2×C32—81no—
945C2×C32—81no—
946C2×C32—82no—
947C2×C32—121no—
948C2×C32C2×D3×D411yescharacteristic
949C2×C32C2×D3×D411yescharacteristic
950C2×C32C2×#23711yescharacteristic
951C2×C32C2×#23711yescharacteristic
952C2×C32C2×#23711yescharacteristic
953C2×C32D3×#4111yescharacteristic
954C2×C32C22×C3×D411yescharacteristic
955C2×C32C2×C3×#4111yescharacteristic
956C2×C32C2×C3×#4111yescharacteristic
957C3×D3—22no—
958C3×D3—22no—
959C3×D3—22no—
960C3×D3—22no—
961C3×D3—42no—
962C3×D3—42no—
963C3×D3—41no—
964C3×D3—41no—
965C3×D3—81no—
966C24—31no—
967#41—184no—
968C2×Q8—91no—
969C2×D4—31no—
970C2×D4—31no—
971C2×D4—31no—
972C2×D4—31no—
973C2×D4—91no—
974C2×D4—91no—
975C2×D4C3×D3211yescharacteristic
976C22×C4—31no—
977C22×C4—91no—
978C22×C4—91no—
979C22×C4—91no—
980C22×C4—91no—
981C22×C4—91no—
982C22×C4—91no—
983C22×C4—91no—
984C22×C4—184no—
985C4⋊C4—31no—
986C4⋊C4—91no—
987C4⋊C4—91no—
988C4⋊C4—91no—
989C4⋊C4—91no—
990C4⋊C4—91no—
991C22⋊C4—31no—
992C22⋊C4—31no—
993C22⋊C4—31no—
994C22⋊C4—31no—
995C22⋊C4—31no—
996C22⋊C4—91no—
997C22⋊C4—91no—
998C22⋊C4—91no—
999C22⋊C4—91no—
1000C22⋊C4—91no—
1001C42—91no—
1002C42—91no—
1003C22×C3—21no—
1004C22×C3—21no—
1005C22×C3—21no—
1006C22×C3—21no—
1007C22×C3—21no—
1008C22×C3—21no—
1009C22×C3—22no—
1010C22×C3—21no—
1011C22×C3—21no—
1012C22×C3—21no—
1013C22×C3—21no—
1014C22×C3—21no—
1015C22×C3—21no—
1016C22×C3—21no—
1017C22×C3—21no—
1018C22×C3—21no—
1019C22×C3—21no—
1020C22×C3—21no—
1021C22×C3—21no—
1022C22×C3—22no—
1023C22×C3—22no—
1024C22×C3—22no—
1025C22×C3—32no—
1026C22×C3—32no—
1027C22×C3—32no—
1028C22×C3—32no—
1029C22×C3—41no—
1030C22×C3—41no—
1031C22×C3—41no—
1032C22×C3—41no—
1033C22×C3—41no—
1034C22×C3—41no—
1035C22×C3—41no—
1036C22×C3—41no—
1037C22×C3—41no—
1038C22×C3—41no—
1039C22×C3—41no—
1040C22×C3—41no—
1041C22×C3—41no—
1042C22×C3—41no—
1043C22×C3—42no—
1044C22×C3—41no—
1045C22×C3—42no—
1046C22×C3—62no—
1047C22×C3—62no—
1048C22×C3—68no—
1049C22×C3—68no—
1050C22×C3—61no—
1051C22×C3—61no—
1052C22×C3—61no—
1053C22×C3—61no—
1054C22×C3—61no—
1055C22×C3—61no—
1056C22×C3—61no—
1057C22×C3—61no—
1058C22×C3—61no—
1059C22×C3—61no—
1060C22×C3—61no—
1061C22×C3—61no—
1062C22×C3—61no—
1063C22×C3—61no—
1064C22×C3—81no—
1065C22×C3—81no—
1066C22×C3—81no—
1067C22×C3—81no—
1068C22×C3—121no—
1069C22×C3—121no—
1070C22×C3—121no—
1071C22×C3—121no—
1072C22×C3—121no—
1073C22×C3—121no—
1074C22×C3—121no—
1075C22×C3—128no—
1076C22×C3#380512yescomplemented
1077C22×C3C3×#23712yescomplemented
1078C22×C3C3×#23712yescomplemented
1079C22×C3C22×D3211yescharacteristic
1080C22×C3C23×C3×D311yescharacteristic
1081C22×C3C23×C3×D311yescharacteristic
1082C2×D3—28no—
1083C2×D3—21no—
1084C2×D3—21no—
1085C2×D3—21no—
1086C2×D3—21no—
1087C2×D3—21no—
1088C2×D3—21no—
1089C2×D3—21no—
1090C2×D3C3×D3×D412yes—
1091C2×D3C3×#23712yescomplemented
1092C3×C4—22no—
1093C3×C4—21no—
1094C3×C4—21no—
1095C3×C4—21no—
1096C3×C4—32no—
1097C3×C4—32no—
1098C3×C4—41no—
1099C3×C4—41no—
1100C3×C4—42no—
1101C3×C4—62no—
1102C3×C4—61no—
1103C3×C4—61no—
1104C3×C4—61no—
1105C3×C4—61no—
1106C3×C4—61no—
1107C3×C4—61no—
1108C3×C4—61no—
1109C3×C4—61no—
1110C3×C4—92no—
1111C3×C4—121no—
1112C3×C4—121no—
1113C3×C4—121no—
1114C3×C4—121no—
1115C3×C4—181no—
1116C3×C4—181no—
1117C3×C4—181no—
1118Dic3—21no—
1119Dic3—21no—
1120Dic3—21no—
1121Dic3—21no—
1122Dic3—32no—
1123Dic3—32no—
1124Dic3—62no—
1125Dic3—61no—
1126Dic3—61no—
1127Dic3—61no—
1128Dic3—61no—
1129Dic3—61no—
1130Dic3—61no—
1131Dic3—121no—
1132Dic3—121no—
1133Dic3—121no—
1134Dic3C3×D3×D412yes—
1135C32—21no—
1136C32—21no—
1137C32—21no—
1138C32—41no—
1139C32#558611yescharacteristic, complemented
1140C32#560611yescharacteristic, complemented
1141C32C3×#52511yescharacteristic, complemented
1142C23—31no—
1143C23—31no—
1144C23—31no—
1145C23—62no—
1146C23—62no—
1147C23—62no—
1148C23C2×C3×D3211yescharacteristic
1149C23C2×C3×D3211yescharacteristic
1150Q8—182no—
1151D4—22no—
1152D4—62no—
1153D4—62no—
1154D4—62no—
1155D4—62no—
1156D4—182no—
1157D4—182no—
1158C2×C4—31no—
1159C2×C4—31no—
1160C2×C4—31no—
1161C2×C4—31no—
1162C2×C4—31no—
1163C2×C4—62no—
1164C2×C4—94no—
1165C2×C4—91no—
1166C2×C4—91no—
1167C2×C4—91no—
1168C2×C4—91no—
1169C2×C4—182no—
1170C2×C4—182no—
1171C2×C4—182no—
1172C2×C4—182no—
1173C2×C4—182no—
1174C2×C4—182no—
1175C2×C4C2×C3×D3211yescharacteristic
1176C2×C3—22no—
1177C2×C3—22no—
1178C2×C3—22no—
1179C2×C3—21no—
1180C2×C3—21no—
1181C2×C3—21no—
1182C2×C3—21no—
1183C2×C3—21no—
1184C2×C3—21no—
1185C2×C3—21no—
1186C2×C3—21no—
1187C2×C3—21no—
1188C2×C3—42no—
1189C2×C3—42no—
1190C2×C3—42no—
1191C2×C3—42no—
1192C2×C3—41no—
1193C2×C3—41no—
1194C2×C3—41no—
1195C2×C3—41no—
1196C2×C3—41no—
1197C2×C3—41no—
1198C2×C3—62no—
1199C2×C3—62no—
1200C2×C3—62no—
1201C2×C3—62no—
1202C2×C3—82no—
1203C2×C3—81no—
1204C2×C3—81no—
1205C2×C3—82no—
1206C2×C3—122no—
1207C2×C3—122no—
1208C2×C3—121no—
1209C2×C3—121no—
1210C2×C3—241no—
1211C2×C3D32×D411yescharacteristic
1212C2×C3D3×#23711yescharacteristic
1213C2×C3C2×#380511yescharacteristic
1214C2×C3C2×C3×D3×D411yescharacteristic
1215C2×C3C2×C3×D3×D411yescharacteristic
1216C2×C3C2×C3×#23711yescharacteristic
1217C2×C3C2×C3×#23711yescharacteristic
1218C2×C3C2×C3×#23711yescharacteristic
1219C2×C3C3×D3×#4111yescharacteristic
1220D3—22no—
1221D3—22no—
1222D3—41no—
1223C22—21no—
1224C22—21no—
1225C22—21no—
1226C22—21no—
1227C22—21no—
1228C22—32no—
1229C22—32no—
1230C22—68no—
1231C22—61no—
1232C22—61no—
1233C22—61no—
1234C22—61no—
1235C22—61no—
1236C22—61no—
1237C22—61no—
1238C22C3×#380512yescomplemented
1239C22C22×C3×D3211yescharacteristic
1240C4—21no—
1241C4—32no—
1242C4—61no—
1243C4—61no—
1244C4—61no—
1245C4—61no—
1246C4—92no—
1247C4—181no—
1248C4—181no—
1249C4—181no—
1250C3—21no—
1251C3—21no—
1252C3—21no—
1253C3—41no—
1254C3#1059513011yescharacteristic, direct product factor
1255C3C3×#558611yescharacteristic, complemented
1256C3C3×#560611yescharacteristic, complemented
1257C2—22no—
1258C2—41no—
1259C2—62no—
1260C2—62no—
1261C2—121no—
1262C2C3×D32×D411yescharacteristic
1263C2C3×D3×#23711yescharacteristic
1264C2C2×C3×#380511yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C3×#525
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×#3805C2semidirect
2. C22×C3×D3×Dic3C2semidirect
3. C3×D4×C3⋊Dic3C2semidirect
4. C32×#939C2semidirect
5. C32×#937C2semidirect
6. C3×#63976C2semidirect
7. C3×#67⋊Dic3C2semidirect
8. C3×#67⋊Dic3C2semidirect
9. C3×#63970C2semidirect
10. C3×#63969C2semidirect
11. C3×#63964C2semidirect
12. C3×#63902C2semidirect
13. C3×#63893C2semidirect
14. C3×#63891C2semidirect
15. C3×#63878C2semidirect
18. #10595130C3direct (N × H)
22. C22×C3×C3⋊Dic3C22semidirect
26. C2×C32×#67C22semidirect
28. C2×C3×#627C22semidirect
37. C2×C3×D3×Dic3C22semidirect
39. C3×#3757C22semidirect
40. C3×C4⋊(C3⋊Dic3)C22semidirect
41. C3×C4×C3⋊Dic3C22semidirect
43. C32×#217C22semidirect
46. C32×(C2×D3)⋊C4C22semidirect
47. C32×Dic3⋊C4C22semidirect
48. C3×#3724C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
50. C3×Dic3⋊Dic3C22semidirect
51. C3×Dic3⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C2×#3805C2×C3semidirect
61. C22×D3×Dic3C2×C3semidirect
64. D4×C3⋊Dic3C2×C3semidirect
68. C3×#939D3semidirect
69. C3×#939C2×C3semidirect
73. C3×#937D3semidirect
74. C3×#937C2×C3semidirect
94. #63976C2×C3semidirect
95. #67⋊Dic3C2×C3semidirect
96. #67⋊Dic3C2×C3semidirect
97. #63970C2×C3semidirect
98. #63969C2×C3semidirect
99. #63964C2×C3semidirect
100. #63902C2×C3semidirect
101. #63893C2×C3semidirect
102. #63891C2×C3semidirect
103. #63878C2×C3semidirect
137. C3×D3×Dic3D4semidirect
158. C22×C3⋊Dic3C22×C3semidirect
170. C2×C3×#67C2×D3semidirect
174. C2×C3×#67C22×C3semidirect
200. C2×#627C22×C3semidirect
209. C2×D3×Dic3C22×C3semidirect
217. #3757C22×C3semidirect
218. C4⋊(C3⋊Dic3)C22×C3semidirect
219. C4×C3⋊Dic3C22×C3semidirect
232. C3×#217C2×D3semidirect
234. C3×#217C22×C3semidirect
243. C3×(C2×D3)⋊C4C2×D3semidirect
246. C3×(C2×D3)⋊C4C22×C3semidirect
259. C3×Dic3⋊C4C2×D3semidirect
260. C3×Dic3⋊C4C22×C3semidirect
266. #3724C22×C3semidirect
267. Dic3⋊Dic3C22×C3semidirect
268. Dic3⋊Dic3C22×C3semidirect
269. Dic3⋊Dic3C22×C3semidirect
272. (C2×D3)⋊Dic3C22×C3semidirect
273. Dic32C22×C3semidirect
279. C22×C33#41semidirect
290. C2×C32×D3#41semidirect
326. #939C3×D3semidirect
329. #937C3×D3semidirect
488. D3×Dic3C3×D4semidirect
543. C2×#67C2×C3×D3semidirect
607. #217C2×C3×D3semidirect
613. (C2×D3)⋊C4C2×C3×D3semidirect
625. Dic3⋊C4C2×C3×D3semidirect
684. C22×C32#237semidirect
685. C22×C32#237semidirect
686. C22×C32C3×#41semidirect
717. C2×C3×D3#237semidirect
719. C2×C3×D3C3×#41semidirect
778. C33#525semidirect
1076. C22×C3#3805semidirect
1077. C22×C3C3×#237semidirect
1078. C22×C3C3×#237semidirect
1091. C2×D3C3×#237semidirect
1139. C32#5586semidirect
1140. C32#5606semidirect
1141. C32C3×#525semidirect
1238. C22C3×#3805semidirect
1254. C3#10595130direct (N × H)
1255. C3C3×#5586semidirect
1256. C3C3×#5606semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38052
C22×C3×D3×Dic32
C3×D4×C3⋊Dic32
C32×#9392
C32×#9372
C3×#639762
C3×#67⋊Dic32
C3×#639702
C3×#639692
C3×#639642
C3×#639022
C3×#638932
C3×#638912
C3×#638782
C3×#56063
C3×#55863
#105951303