Finite Group Databasebeta

← C3×#10594066 #13173641

Subgroups — C3×#10594066 #13173641

Order 1728.

1652 conjugacy classes of subgroups.

The subgroup lattice has 1242 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#624C211yesmaximal, characteristic, complemented
2C2×C3×#3799C211yesmaximal, characteristic, complemented
3C3×#64091C211yesmaximal, characteristic, complemented
4C32×#67⋊C4C211yesmaximal, characteristic, complemented
5C32×#878C211yesmaximal, characteristic, complemented
6C3×#63981C211yesmaximal, characteristic, complemented
7C3×#63978C211yesmaximal, characteristic, complemented
8C3×#63952C211yesmaximal, characteristic, complemented
9C3×#63910C211yesmaximal, characteristic, complemented
10C3×#63904C211yesmaximal, characteristic, complemented
11C3×#63897C211yesmaximal, characteristic, complemented
12C3×#63894C211yesmaximal, characteristic, complemented
13C3×#63888C211yesmaximal, characteristic, complemented
14C3×#63854C211yesmaximal, characteristic, complemented
15C3×#63836C211yesmaximal, characteristic, complemented
16C3×#5627—31nomaximal
17C3×#5547—31nomaximal
18#10594066C311yesmaximal, characteristic, direct product factor
19C23×C3×C3⋊D3C2211yescharacteristic
20C2×C3×#638C2211yescharacteristic
21C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
22C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
23C2×C32×#67C2211yescharacteristic
24C22×C32×Dic3C2211yescharacteristic
25C22×C32×Dic3C2211yescharacteristic
26C2×C32×C4×D3C2211yescharacteristic, complemented
27C2×C32×Dic6C2211yescharacteristic, complemented
28C2×C3×#626C2211yescharacteristic
29C2×C3×#626C2211yescharacteristic
30C2×C3×#626C2211yescharacteristic, complemented
31C2×C3×#624—24no—
32C2×C3×#624C2211yescharacteristic
33C2×C3×#624C2211yescharacteristic
34C2×C3×#624C2211yescharacteristic
35C2×C3×#624C2211yescharacteristic
36C2×C3×#624C2211yescharacteristic, complemented
37C3×#3799—24no—
38C33×C22⋊C4C2211yescharacteristic
39C3×#3752C2211yescharacteristic
40C3×#3752C2211yescharacteristic
41C32×#217C2211yescharacteristic
42C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
43C32×C4⋊Dic3C2211yescharacteristic, complemented
44C32×Dic3⋊C4C2211yescharacteristic, complemented
45C32×Dic3⋊C4C2211yescharacteristic, complemented
46C32×Dic3⋊C4C2211yescharacteristic, complemented
47C32×C4×Dic3C2211yescharacteristic, complemented
48C3×#3724C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic
51C3×#3722C2211yescharacteristic
52C3×#3722C2211yescharacteristic, complemented
53C3×#3722C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C2×C3×#239—31no—
57C2×C3×#235—31no—
58C22×C3×C4×D3—31no—
59C22×C3×C4×D3—31no—
60C22×#624C2×C311yescharacteristic, complemented
61C2×#3799C2×C311yescharacteristic, complemented
62C32×C22⋊Q8—31no—
63C32×C4×D4—31no—
64#64091C2×C311yescharacteristic, complemented
65C3×#946—31no—
66C3×#939—31no—
67C3×#937—31no—
68C3×#930—31no—
69C3×C4×#67—31no—
70C3×C4×#67—31no—
71C3×#896—31no—
72C3×#895—31no—
73C3×#894—31no—
74C3×#894—31no—
75C3×#894—31no—
76C3×#893—31no—
77C3×#893—31no—
78C3×#892—31no—
79C3×#884—31no—
80C3×#883—31no—
81C3×#882—31no—
82C3×#882—31no—
83C3×#882—31no—
84C3×#882—61no—
85C3×#67⋊C4—21no—
86C3×#67⋊C4—31no—
87C3×#67⋊C4D311yescharacteristic, complemented
88C3×#67⋊C4C2×C311yescharacteristic, complemented
89C3×#878—21no—
90C3×#878D311yescharacteristic, complemented
91C3×#878C2×C311yescharacteristic, complemented
92C3×C4×D12—31no—
93C3×#872—31no—
94#63981C2×C311yescharacteristic, complemented
95#63978C2×C311yescharacteristic, complemented
96#63952C2×C311yescharacteristic, complemented
97#63910C2×C311yescharacteristic, complemented
98#63904C2×C311yescharacteristic, complemented
99#63897C2×C311yescharacteristic, complemented
100#63894C2×C311yescharacteristic, complemented
101#63888C2×C311yescharacteristic, complemented
102#63854C2×C311yescharacteristic, complemented
103#63836C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C22×C3×C3⋊D3—22no—
106C22×C3×C3⋊D3—22no—
107C22×C3×C3⋊D3—22no—
108C22×C3×C3⋊D3C2311yescharacteristic
109C22×C3×C3⋊D3C2311yescharacteristic
110C22×C3×C3⋊D3C2311yescharacteristic
111C22×C32×D3C2311yescharacteristic
112C2×C33×C4C2311yescharacteristic
113C2×C33×C4C2311yescharacteristic
114C3×#638—22no—
115C2×C3×C3⋊Dic3C2311yescharacteristic
116C3×C4⋊(C3⋊D3)—22no—
117C3×C4⋊(C3⋊D3)—22no—
118C32×#67—22no—
119C2×C32×Dic3—22no—
120C2×C32×Dic3—22no—
121C2×C32×Dic3C2311yescharacteristic
122C2×C32×Dic3C2311yescharacteristic
123C2×C32×Dic3C2311yescharacteristic
124C2×C32×Dic3C2311yescharacteristic
125C2×C32×Dic3C2311yescharacteristic
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C32×C4×D3—22no—
129C32×Dic6—22no—
130C3×#626—22no—
131C3×#626—22no—
132C3×#626—22no—
133C3×#624—22no—
134C3×#624—22no—
135C3×#624—22no—
136C3×#624—22no—
137C3×#624D414yescomplemented
138C3×#525—91no—
139#5627—31no—
140#5547—31no—
141C23×C3⋊D3C22×C311yescharacteristic
142C23×C3×D3—31no—
143C23×C3×D3—31no—
144C23×C3×D3—61no—
145C2×C32×Q8—31no—
146C2×C32×D4—31no—
147C22×C32×C4—31no—
148C22×C32×C4—31no—
149C22×C32×C4—31no—
150C2×#638C22×C311yescharacteristic
151C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
152C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
153C2×C3×#67—21no—
154C2×C3×#67—31no—
155C2×C3×#67—31no—
156C2×C3×#67—31no—
157C2×C3×#67—31no—
158C2×C3×#67—31no—
159C2×C3×#67—61no—
160C2×C3×#67C2×D311yescharacteristic
161C2×C3×#67C22×C311yescharacteristic
162C22×C3×Dic3—21no—
163C22×C3×Dic3—21no—
164C22×C3×Dic3C2×D311yescharacteristic
165C22×C3×Dic3C2×D311yescharacteristic
166C22×C3×Dic3C22×C311yescharacteristic
167C22×C3×Dic3C22×C311yescharacteristic
168C3×#239—64no—
169C3×#235—64no—
170C2×C3×D12—31no—
171C2×C3×D12—31no—
172C2×C3×D12—31no—
173C2×C3×D12—31no—
174C2×C3×D12—31no—
175C2×C3×D12—31no—
176C2×C3×D12—31no—
177C2×C3×D12—61no—
178C2×C3×D12—61no—
179C2×C3×C4×D3—21no—
180C2×C3×C4×D3—31no—
181C2×C3×C4×D3—31no—
182C2×C3×C4×D3—31no—
183C2×C3×C4×D3—31no—
184C2×C3×C4×D3—31no—
185C2×C3×C4×D3—31no—
186C2×C3×C4×D3—31no—
187C2×C3×C4×D3—31no—
188C2×C3×C4×D3—31no—
189C2×C3×C4×D3—31no—
190C2×C3×C4×D3—64no—
191C2×C3×C4×D3—64no—
192C2×C3×C4×D3C2×D311yescharacteristic, complemented
193C2×C3×C4×D3C22×C311yescharacteristic, complemented
194C2×C3×Dic6—21no—
195C2×C3×Dic6C2×D311yescharacteristic, complemented
196C2×C3×Dic6C22×C311yescharacteristic, complemented
197C2×#626C22×C311yescharacteristic
198C2×#626C22×C311yescharacteristic
199C2×#626C22×C311yescharacteristic, complemented
200C2×#624—24no—
201C2×#624C22×C311yescharacteristic
202C2×#624C22×C311yescharacteristic
203C2×#624C22×C311yescharacteristic
204C2×#624C22×C311yescharacteristic
205C2×#624C22×C311yescharacteristic, complemented
206#3799—24no—
207C32×C4⋊C4—31no—
208C32×C4⋊C4—31no—
209C32×C4⋊C4—31no—
210C32×C4⋊C4—31no—
211C32×C22⋊C4—21no—
212C32×C22⋊C4—21no—
213C32×C22⋊C4—21no—
214C32×C22⋊C4—31no—
215C32×C22⋊C4—31no—
216C32×C22⋊C4—41no—
217C32×C22⋊C4C2×D311yescharacteristic
218C32×C22⋊C4C2×D311yescharacteristic
219C32×C22⋊C4C22×C311yescharacteristic
220C32×C42—31no—
221#3752C22×C311yescharacteristic
222#3752C22×C311yescharacteristic
223C3×#217—21no—
224C3×#217—31no—
225C3×#217C2×D311yescharacteristic
226C3×#217C22×C311yescharacteristic
227C3×(C2×D3)⋊C4—21no—
228C3×(C2×D3)⋊C4—31no—
229C3×(C2×D3)⋊C4—31no—
230C3×(C2×D3)⋊C4—31no—
231C3×(C2×D3)⋊C4—31no—
232C3×(C2×D3)⋊C4—31no—
233C3×(C2×D3)⋊C4—31no—
234C3×(C2×D3)⋊C4—31no—
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—61no—
242C3×(C2×D3)⋊C4—61no—
243C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
244C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
245C3×C4⋊Dic3—21no—
246C3×C4⋊Dic3—31no—
247C3×C4⋊Dic3C2×D311yescharacteristic, complemented
248C3×C4⋊Dic3C22×C311yescharacteristic, complemented
249C3×Dic3⋊C4—21no—
250C3×Dic3⋊C4—21no—
251C3×Dic3⋊C4—21no—
252C3×Dic3⋊C4—31no—
253C3×Dic3⋊C4—31no—
254C3×Dic3⋊C4—31no—
255C3×Dic3⋊C4C2×D311yescharacteristic, complemented
256C3×Dic3⋊C4C2×D311yescharacteristic, complemented
257C3×Dic3⋊C4C2×D311yescharacteristic, complemented
258C3×Dic3⋊C4C22×C311yescharacteristic, complemented
259C3×Dic3⋊C4C22×C311yescharacteristic, complemented
260C3×Dic3⋊C4C22×C311yescharacteristic, complemented
261C3×C4×Dic3—21no—
262C3×C4×Dic3—31no—
263C3×C4×Dic3—31no—
264C3×C4×Dic3C2×D311yescharacteristic, complemented
265C3×C4×Dic3C22×C311yescharacteristic, complemented
266#3724C22×C311yescharacteristic, complemented
267Dic3⋊Dic3C22×C311yescharacteristic, complemented
268#3722C22×C311yescharacteristic
269#3722C22×C311yescharacteristic
270#3722C22×C311yescharacteristic, complemented
271#3722C22×C311yescharacteristic, complemented
272(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
273Dic32C22×C311yescharacteristic, complemented
274C22×C33—21no—
275C22×C33—21no—
276C22×C33#4112yescomplemented
277C22×C33C2411yescharacteristic
278C2×C3×C3⋊D3—28no—
279C2×C3×C3⋊D3—21no—
280C2×C3×C3⋊D3—21no—
281C2×C3×C3⋊D3—21no—
282C2×C3×C3⋊D3—21no—
283C2×C3×C3⋊D3—21no—
284C2×C3×C3⋊D3—21no—
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3C2×D412yes—
287C2×C3×C3⋊D3#4112yescomplemented
288C2×C32×D3—21no—
289C2×C32×D3—21no—
290C2×C32×D3—21no—
291C33×C4—21no—
292C33×C4—21no—
293C3×C3⋊Dic3—21no—
294C32×Dic3—21no—
295C32×Dic3—21no—
296C32×Dic3—21no—
297C32×Dic3—21no—
298C32×Dic3—21no—
299C32×Dic3C2×D412yes—
300C32×Dic3C2×D412yes—
301C2×C3×#41—91no—
302C23×C3×C4—91no—
303C2×#239—31no—
304C2×#235—31no—
305C22×C4×D3—31no—
306C22×C4×D3—31no—
307C3×#123—91no—
308C3×#123—91no—
309C3×C22⋊Q8—31no—
310C3×C22⋊Q8—31no—
311C3×C22⋊Q8—61no—
312C3×C22⋊Q8—91no—
313C3×#121—91no—
314C3×#121—91no—
315C3×#120—91no—
316C3×#120—91no—
317C3×C4×D4—31no—
318C3×C4×D4—31no—
319C3×C4×D4—61no—
320C3×C4×D4—91no—
321C3×C4×D4—91no—
322C3×C4×D4—91no—
323C3×#117—91no—
324#946—31no—
325#939—31no—
326#937—31no—
327#930—31no—
328C4×#67—31no—
329C4×#67—31no—
330#896—31no—
331#895—31no—
332#894—31no—
333#894—31no—
334#894—31no—
335#893—31no—
336#893—31no—
337#892—31no—
338#884—31no—
339#883—31no—
340#882—31no—
341#882—31no—
342#882—31no—
343#882—61no—
344#67⋊C4—31no—
345#67⋊C4C3×D311yescharacteristic, complemented
346#878C3×D311yescharacteristic, complemented
347C4×D12—31no—
348#872—31no—
349C23×C32—21no—
350C23×C32—21no—
351C23×C32—21no—
352C23×C32—31no—
353C23×C32—41no—
354C23×C32C22×D311yescharacteristic
355C23×C32C22×D311yescharacteristic
356C23×C32C23×C311yescharacteristic
357C22×C3⋊D3—22no—
358C22×C3⋊D3—22no—
359C22×C3⋊D3—22no—
360C22×C3⋊D3C23×C311yescharacteristic
361C22×C3⋊D3C23×C311yescharacteristic
362C22×C3⋊D3C23×C311yescharacteristic
363C22×C3×D3—21no—
364C22×C3×D3—31no—
365C22×C3×D3—31no—
366C22×C3×D3—31no—
367C22×C3×D3—31no—
368C22×C3×D3—31no—
369C22×C3×D3—31no—
370C22×C3×D3—61no—
371C22×C3×D3—61no—
372C22×C3×D3—61no—
373C22×C3×D3—62no—
374C22×C3×D3—62no—
375C22×C3×D3—62no—
376C22×C3×D3—62no—
377C22×C3×D3—62no—
378C22×C3×D3—62no—
379C22×C3×D3—122no—
380C22×C3×D3—122no—
381C22×C3×D3—122no—
382C22×C3×D3C22×D311yescharacteristic
383C22×C3×D3C23×C311yescharacteristic
384C32×Q8—62no—
385C32×D4—62no—
386C2×C32×C4—21no—
387C2×C32×C4—21no—
388C2×C32×C4—21no—
389C2×C32×C4—21no—
390C2×C32×C4—21no—
391C2×C32×C4—21no—
392C2×C32×C4—31no—
393C2×C32×C4—31no—
394C2×C32×C4—31no—
395C2×C32×C4—31no—
396C2×C32×C4—31no—
397C2×C32×C4—31no—
398C2×C32×C4—31no—
399C2×C32×C4—41no—
400C2×C32×C4—41no—
401C2×C32×C4—62no—
402C2×C32×C4—62no—
403C2×C32×C4—62no—
404C2×C32×C4C22×D311yescharacteristic
405C2×C32×C4C22×D311yescharacteristic
406C2×C32×C4C22×D311yescharacteristic
407C2×C32×C4C22×D311yescharacteristic
408C2×C32×C4C23×C311yescharacteristic
409C2×C32×C4C23×C311yescharacteristic
410#638—22no—
411C2×C3⋊Dic3C23×C311yescharacteristic
412C4⋊(C3⋊D3)—22no—
413C4⋊(C3⋊D3)—22no—
414C3×#67—24no—
415C3×#67—22no—
416C3×#67—22no—
417C3×#67—62no—
418C3×#67—62no—
419C3×#67—62no—
420C3×#67—62no—
421C3×#67—62no—
422C3×#67—122no—
423C2×C3×Dic3—22no—
424C2×C3×Dic3—22no—
425C2×C3×Dic3—22no—
426C2×C3×Dic3—22no—
427C2×C3×Dic3—21no—
428C2×C3×Dic3—21no—
429C2×C3×Dic3—21no—
430C2×C3×Dic3—21no—
431C2×C3×Dic3—21no—
432C2×C3×Dic3—21no—
433C2×C3×Dic3—21no—
434C2×C3×Dic3—31no—
435C2×C3×Dic3—31no—
436C2×C3×Dic3—42no—
437C2×C3×Dic3—42no—
438C2×C3×Dic3—61no—
439C2×C3×Dic3C22×D311yescharacteristic
440C2×C3×Dic3C22×D311yescharacteristic
441C2×C3×Dic3C22×D311yescharacteristic
442C2×C3×Dic3C22×D311yescharacteristic
443C2×C3×Dic3C22×D311yescharacteristic
444C2×C3×Dic3C22×D311yescharacteristic
445C2×C3×Dic3C22×D311yescharacteristic
446C2×C3×Dic3C23×C311yescharacteristic
447C2×C3×Dic3C23×C311yescharacteristic
448C2×C3×Dic3C23×C311yescharacteristic
449C2×C3×Dic3C23×C311yescharacteristic
450C2×C3×Dic3C23×C311yescharacteristic
451C2×C3×Dic3C23×C311yescharacteristic
452C2×C3×Dic3C23×C311yescharacteristic
453C3×D12—62no—
454C3×D12—62no—
455C3×D12—62no—
456C3×D12—62no—
457C3×D12—62no—
458C3×D12—62no—
459C3×D12—62no—
460C3×D12—122no—
461C3×D12—122no—
462C3×C4×D3—22no—
463C3×C4×D3—22no—
464C3×C4×D3—34no—
465C3×C4×D3—34no—
466C3×C4×D3—42no—
467C3×C4×D3—62no—
468C3×C4×D3—62no—
469C3×C4×D3—62no—
470C3×C4×D3—62no—
471C3×C4×D3—62no—
472C3×C4×D3—62no—
473C3×C4×D3—62no—
474C3×C4×D3—62no—
475C3×Dic6—22no—
476C3×Dic6—22no—
477C3×Dic6—42no—
478#626—22no—
479#626—22no—
480#626—22no—
481#624—22no—
482#624—22no—
483#624—22no—
484#624—22no—
485#624C3×D414yescomplemented
486#525—91noSylow
487C2×C33—22no—
488C2×C33C22×D411yescharacteristic
489C2×C33C2×#4111yescharacteristic
490C2×C33C2×#4111yescharacteristic
491C3×C3⋊D3—22no—
492C3×C3⋊D3—22no—
493C3×C3⋊D3—41no—
494C32×D3—41no—
495C24×C3—91no—
496C23×D3—31no—
497C23×D3—31no—
498C23×D3—61no—
499C3×#41—184no—
500C2×C3×Q8—31no—
501C2×C3×Q8—31no—
502C2×C3×Q8—61no—
503C2×C3×D4—31no—
504C2×C3×D4—31no—
505C2×C3×D4—61no—
506C2×C3×D4—91no—
507C2×C3×D4—91no—
508C2×C3×D4—91no—
509C2×C3×D4—91no—
510C2×C3×D4—91no—
511C2×C3×D4—91no—
512C22×C3×C4—31no—
513C22×C3×C4—31no—
514C22×C3×C4—31no—
515C22×C3×C4—31no—
516C22×C3×C4—31no—
517C22×C3×C4—31no—
518C22×C3×C4—61no—
519C22×C3×C4—61no—
520C22×C3×C4—61no—
521C22×C3×C4—91no—
522C22×C3×C4—91no—
523C22×C3×C4—91no—
524C22×C3×C4—91no—
525C22×C3×C4—91no—
526C22×C3×C4—184no—
527C2×#67—31no—
528C2×#67—31no—
529C2×#67—31no—
530C2×#67—31no—
531C2×#67—31no—
532C2×#67—61no—
533C2×#67C2×C3×D311yescharacteristic
534C22×Dic3C2×C3×D311yescharacteristic
535C22×Dic3C2×C3×D311yescharacteristic
536#239—64no—
537#235—64no—
538C2×D12—31no—
539C2×D12—31no—
540C2×D12—31no—
541C2×D12—31no—
542C2×D12—31no—
543C2×D12—31no—
544C2×D12—31no—
545C2×D12—61no—
546C2×D12—61no—
547C2×C4×D3—31no—
548C2×C4×D3—31no—
549C2×C4×D3—31no—
550C2×C4×D3—31no—
551C2×C4×D3—31no—
552C2×C4×D3—31no—
553C2×C4×D3—31no—
554C2×C4×D3—31no—
555C2×C4×D3—31no—
556C2×C4×D3—31no—
557C2×C4×D3—64no—
558C2×C4×D3—64no—
559C2×C4×D3C2×C3×D311yescharacteristic, complemented
560C2×Dic6C2×C3×D311yescharacteristic, complemented
561C3×C4⋊C4—31no—
562C3×C4⋊C4—31no—
563C3×C4⋊C4—31no—
564C3×C4⋊C4—31no—
565C3×C4⋊C4—31no—
566C3×C4⋊C4—31no—
567C3×C4⋊C4—31no—
568C3×C4⋊C4—31no—
569C3×C4⋊C4—61no—
570C3×C4⋊C4—61no—
571C3×C4⋊C4—61no—
572C3×C4⋊C4—61no—
573C3×C4⋊C4—91no—
574C3×C4⋊C4—91no—
575C3×C22⋊C4—21no—
576C3×C22⋊C4—21no—
577C3×C22⋊C4—21no—
578C3×C22⋊C4—31no—
579C3×C22⋊C4—31no—
580C3×C22⋊C4—31no—
581C3×C22⋊C4—31no—
582C3×C22⋊C4—41no—
583C3×C22⋊C4—61no—
584C3×C22⋊C4—61no—
585C3×C22⋊C4—91no—
586C3×C22⋊C4—91no—
587C3×C22⋊C4—91no—
588C3×C22⋊C4—91no—
589C3×C22⋊C4—91no—
590C3×C22⋊C4—91no—
591C3×C22⋊C4—91no—
592C3×C22⋊C4D3211yescharacteristic
593C3×C22⋊C4C2×C3×D311yescharacteristic
594C3×C22⋊C4C2×C3×D311yescharacteristic
595C3×C42—31no—
596C3×C42—31no—
597C3×C42—61no—
598C3×C42—91no—
599#217—31no—
600#217C2×C3×D311yescharacteristic
601(C2×D3)⋊C4—31no—
602(C2×D3)⋊C4—31no—
603(C2×D3)⋊C4—31no—
604(C2×D3)⋊C4—31no—
605(C2×D3)⋊C4—31no—
606(C2×D3)⋊C4—31no—
607(C2×D3)⋊C4—31no—
608(C2×D3)⋊C4—31no—
609(C2×D3)⋊C4—31no—
610(C2×D3)⋊C4—31no—
611(C2×D3)⋊C4—31no—
612(C2×D3)⋊C4—31no—
613(C2×D3)⋊C4—31no—
614(C2×D3)⋊C4—61no—
615(C2×D3)⋊C4—61no—
616(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
617C4⋊Dic3—31no—
618C4⋊Dic3C2×C3×D311yescharacteristic, complemented
619Dic3⋊C4—31no—
620Dic3⋊C4—31no—
621Dic3⋊C4—31no—
622Dic3⋊C4C2×C3×D311yescharacteristic, complemented
623Dic3⋊C4C2×C3×D311yescharacteristic, complemented
624Dic3⋊C4C2×C3×D311yescharacteristic, complemented
625C4×Dic3—31no—
626C4×Dic3—31no—
627C4×Dic3C2×C3×D311yescharacteristic, complemented
628C22×C32—21no—
629C22×C32—21no—
630C22×C32—21no—
631C22×C32—21no—
632C22×C32—21no—
633C22×C32—21no—
634C22×C32—21no—
635C22×C32—21no—
636C22×C32—21no—
637C22×C32—22no—
638C22×C32—22no—
639C22×C32—22no—
640C22×C32—41no—
641C22×C32—42no—
642C22×C32—41no—
643C22×C32—41no—
644C22×C32—41no—
645C22×C32—41no—
646C22×C32—41no—
647C22×C32—41no—
648C22×C32—61no—
649C22×C32—61no—
650C22×C32—61no—
651C22×C32—81no—
652C22×C32—81no—
653C22×C32#23512yescomplemented
654C22×C32#23912yescomplemented
655C22×C32C3×#4112yescomplemented
656C22×C32C23×D311yescharacteristic
657C22×C32C23×D311yescharacteristic
658C22×C32C24×C311yescharacteristic
659C2×C3⋊D3—28no—
660C2×C3⋊D3—21no—
661C2×C3⋊D3—21no—
662C2×C3⋊D3—21no—
663C2×C3⋊D3—21no—
664C2×C3⋊D3—21no—
665C2×C3⋊D3—21no—
666C2×C3⋊D3—21no—
667C2×C3⋊D3C2×C3×D412yes—
668C2×C3⋊D3C3×#4112yescomplemented
669C2×C3×D3—22no—
670C2×C3×D3—21no—
671C2×C3×D3—21no—
672C2×C3×D3—21no—
673C2×C3×D3—21no—
674C2×C3×D3—21no—
675C2×C3×D3—21no—
676C2×C3×D3—32no—
677C2×C3×D3—32no—
678C2×C3×D3—32no—
679C2×C3×D3—32no—
680C2×C3×D3—41no—
681C2×C3×D3—41no—
682C2×C3×D3—62no—
683C2×C3×D3—62no—
684C2×C3×D3—68no—
685C2×C3×D3—68no—
686C2×C3×D3—61no—
687C2×C3×D3—61no—
688C2×C3×D3—61no—
689C2×C3×D3—61no—
690C2×C3×D3—61no—
691C2×C3×D3—61no—
692C2×C3×D3—61no—
693C2×C3×D3—61no—
694C2×C3×D3—61no—
695C2×C3×D3—61no—
696C2×C3×D3—61no—
697C2×C3×D3—61no—
698C2×C3×D3—61no—
699C2×C3×D3—61no—
700C2×C3×D3—121no—
701C2×C3×D3—121no—
702C2×C3×D3—121no—
703C2×C3×D3—121no—
704C2×C3×D3—128no—
705C2×C3×D3—121no—
706C2×C3×D3—121no—
707C2×C3×D3—121no—
708C32×C4—21no—
709C32×C4—21no—
710C32×C4—21no—
711C32×C4—21no—
712C32×C4—21no—
713C32×C4—21no—
714C32×C4—32no—
715C32×C4—32no—
716C32×C4—41no—
717C32×C4—41no—
718C32×C4—41no—
719C32×C4—41no—
720C32×C4—41no—
721C32×C4—41no—
722C32×C4—61no—
723C32×C4—61no—
724C32×C4—61no—
725C32×C4—61no—
726C32×C4—61no—
727C32×C4—81no—
728C32×C4—81no—
729C3⋊Dic3—21no—
730C3×Dic3—22no—
731C3×Dic3—21no—
732C3×Dic3—21no—
733C3×Dic3—21no—
734C3×Dic3—21no—
735C3×Dic3—21no—
736C3×Dic3—21no—
737C3×Dic3—21no—
738C3×Dic3—21no—
739C3×Dic3—21no—
740C3×Dic3—21no—
741C3×Dic3—22no—
742C3×Dic3—22no—
743C3×Dic3—41no—
744C3×Dic3—41no—
745C3×Dic3—41no—
746C3×Dic3—41no—
747C3×Dic3—61no—
748C3×Dic3—61no—
749C3×Dic3—121no—
750C3×Dic3D3×D412yes—
751C3×Dic3D3×D412yes—
752C3×Dic3C2×C3×D412yes—
753C3×Dic3C2×C3×D412yes—
754C2×#41—91no—
755C23×C4—91no—
756#123—91no—
757#123—91no—
758C22⋊Q8—31no—
759C22⋊Q8—91no—
760#121—91no—
761#121—91no—
762#120—91no—
763#120—91no—
764C4×D4—31no—
765C4×D4—91no—
766C4×D4—91no—
767C4×D4—91no—
768#117—91no—
769C33#52511yescharacteristic, complemented, Sylow
770C23×C3—21no—
771C23×C3—21no—
772C23×C3—21no—
773C23×C3—31no—
774C23×C3—31no—
775C23×C3—41no—
776C23×C3—61no—
777C23×C3—91no—
778C23×C3—91no—
779C23×C3—91no—
780C23×C3—182no—
781C23×C3—182no—
782C23×C3—182no—
783C23×C3C2×D3211yescharacteristic
784C23×C3C22×C3×D311yescharacteristic
785C23×C3C22×C3×D311yescharacteristic
786C22×D3—31no—
787C22×D3—31no—
788C22×D3—31no—
789C22×D3—31no—
790C22×D3—31no—
791C22×D3—31no—
792C22×D3—61no—
793C22×D3—61no—
794C22×D3—61no—
795C22×D3—62no—
796C22×D3—62no—
797C22×D3—62no—
798C22×D3—62no—
799C22×D3—62no—
800C22×D3—62no—
801C22×D3—122no—
802C22×D3—122no—
803C22×D3—122no—
804C22×D3C22×C3×D311yescharacteristic
805C3×Q8—62no—
806C3×Q8—62no—
807C3×Q8—122no—
808C3×D4—64no—
809C3×D4—62no—
810C3×D4—62no—
811C3×D4—182no—
812C3×D4—182no—
813C3×D4—182no—
814C3×D4—182no—
815C3×D4—182no—
816C3×D4—182no—
817C2×C3×C4—21no—
818C2×C3×C4—21no—
819C2×C3×C4—21no—
820C2×C3×C4—21no—
821C2×C3×C4—21no—
822C2×C3×C4—21no—
823C2×C3×C4—31no—
824C2×C3×C4—31no—
825C2×C3×C4—31no—
826C2×C3×C4—31no—
827C2×C3×C4—31no—
828C2×C3×C4—31no—
829C2×C3×C4—31no—
830C2×C3×C4—31no—
831C2×C3×C4—31no—
832C2×C3×C4—31no—
833C2×C3×C4—31no—
834C2×C3×C4—31no—
835C2×C3×C4—31no—
836C2×C3×C4—31no—
837C2×C3×C4—41no—
838C2×C3×C4—41no—
839C2×C3×C4—61no—
840C2×C3×C4—61no—
841C2×C3×C4—61no—
842C2×C3×C4—61no—
843C2×C3×C4—61no—
844C2×C3×C4—61no—
845C2×C3×C4—61no—
846C2×C3×C4—62no—
847C2×C3×C4—62no—
848C2×C3×C4—62no—
849C2×C3×C4—62no—
850C2×C3×C4—62no—
851C2×C3×C4—62no—
852C2×C3×C4—94no—
853C2×C3×C4—91no—
854C2×C3×C4—122no—
855C2×C3×C4—122no—
856C2×C3×C4—122no—
857C2×C3×C4—182no—
858C2×C3×C4—182no—
859C2×C3×C4—182no—
860C2×C3×C4—182no—
861C2×C3×C4C2×D3211yescharacteristic
862C2×C3×C4C2×D3211yescharacteristic
863C2×C3×C4C22×C3×D311yescharacteristic
864C2×C3×C4C22×C3×D311yescharacteristic
865C2×C3×C4C22×C3×D311yescharacteristic
866C2×C3×C4C22×C3×D311yescharacteristic
867#67—22no—
868#67—62no—
869#67—62no—
870#67—62no—
871#67—62no—
872#67—62no—
873#67—122no—
874C2×Dic3—22no—
875C2×Dic3—22no—
876C2×Dic3—31no—
877C2×Dic3—31no—
878C2×Dic3—61no—
879C2×Dic3C22×C3×D311yescharacteristic
880C2×Dic3C22×C3×D311yescharacteristic
881C2×Dic3C22×C3×D311yescharacteristic
882C2×Dic3C22×C3×D311yescharacteristic
883C2×Dic3C22×C3×D311yescharacteristic
884C2×Dic3C22×C3×D311yescharacteristic
885C2×Dic3C22×C3×D311yescharacteristic
886D12—62no—
887D12—62no—
888D12—62no—
889D12—62no—
890D12—62no—
891D12—62no—
892D12—62no—
893D12—122no—
894D12—122no—
895C4×D3—22no—
896C4×D3—34no—
897C4×D3—34no—
898C4×D3—62no—
899C4×D3—62no—
900C4×D3—62no—
901C4×D3—62no—
902C4×D3—62no—
903C4×D3—62no—
904C4×D3—62no—
905C4×D3—62no—
906Dic6—22no—
907C2×C32—22no—
908C2×C32—22no—
909C2×C32—22no—
910C2×C32—21no—
911C2×C32—21no—
912C2×C32—21no—
913C2×C32—21no—
914C2×C32—21no—
915C2×C32—21no—
916C2×C32—21no—
917C2×C32—21no—
918C2×C32—21no—
919C2×C32—41no—
920C2×C32—41no—
921C2×C32—41no—
922C2×C32—42no—
923C2×C32—42no—
924C2×C32—42no—
925C2×C32—82no—
926C2×C32—121no—
927C2×C32C2×#23511yescharacteristic
928C2×C32C2×D3×D411yescharacteristic
929C2×C32C2×D3×D411yescharacteristic
930C2×C32C2×#23911yescharacteristic
931C2×C32D3×#4111yescharacteristic
932C2×C32D3×#4111yescharacteristic
933C2×C32C22×C3×D411yescharacteristic
934C2×C32C2×C3×#4111yescharacteristic
935C2×C32C2×C3×#4111yescharacteristic
936C3⋊D3—22no—
937C3⋊D3—22no—
938C3⋊D3—41no—
939C3×D3—42no—
940C3×D3—41no—
941C3×D3—41no—
942C3×D3—62no—
943C3×D3—62no—
944C3×D3—62no—
945C3×D3—62no—
946C3×D3—122no—
947C3×D3—122no—
948C3×D3—121no—
949C3×D3—121no—
950C3×D3—241no—
951C24—91no—
952#41—184no—
953C2×Q8—31no—
954C2×D4—31no—
955C2×D4—91no—
956C2×D4—91no—
957C2×D4—91no—
958C2×D4—91no—
959C2×D4—91no—
960C2×D4—91no—
961C22×C4—31no—
962C22×C4—31no—
963C22×C4—31no—
964C22×C4—91no—
965C22×C4—91no—
966C22×C4—91no—
967C22×C4—91no—
968C22×C4—91no—
969C22×C4—184no—
970C4⋊C4—31no—
971C4⋊C4—31no—
972C4⋊C4—31no—
973C4⋊C4—31no—
974C4⋊C4—91no—
975C4⋊C4—91no—
976C22⋊C4—31no—
977C22⋊C4—31no—
978C22⋊C4—91no—
979C22⋊C4—91no—
980C22⋊C4—91no—
981C22⋊C4—91no—
982C22⋊C4—91no—
983C22⋊C4—91no—
984C22⋊C4—91no—
985C22⋊C4C3×D3211yescharacteristic
986C42—31no—
987C42—91no—
988C22×C3—21no—
989C22×C3—21no—
990C22×C3—21no—
991C22×C3—21no—
992C22×C3—21no—
993C22×C3—21no—
994C22×C3—21no—
995C22×C3—21no—
996C22×C3—21no—
997C22×C3—22no—
998C22×C3—22no—
999C22×C3—22no—
1000C22×C3—41no—
1001C22×C3—41no—
1002C22×C3—41no—
1003C22×C3—41no—
1004C22×C3—41no—
1005C22×C3—41no—
1006C22×C3—41no—
1007C22×C3—42no—
1008C22×C3—62no—
1009C22×C3—61no—
1010C22×C3—61no—
1011C22×C3—61no—
1012C22×C3—61no—
1013C22×C3—61no—
1014C22×C3—61no—
1015C22×C3—81no—
1016C22×C3—81no—
1017C22×C3—92no—
1018C22×C3—92no—
1019C22×C3—121no—
1020C22×C3—121no—
1021C22×C3—188no—
1022C22×C3—181no—
1023C22×C3—181no—
1024C22×C3—181no—
1025C22×C3—181no—
1026C22×C3—181no—
1027C22×C3—181no—
1028C22×C3—181no—
1029C22×C3#379912yescomplemented
1030C22×C3C3×#23512yescomplemented
1031C22×C3C3×#23912yescomplemented
1032C22×C3C22×D3211yescharacteristic
1033C22×C3C23×C3×D311yescharacteristic
1034C22×C3C23×C3×D311yescharacteristic
1035C2×D3—21no—
1036C2×D3—21no—
1037C2×D3—21no—
1038C2×D3—32no—
1039C2×D3—32no—
1040C2×D3—32no—
1041C2×D3—32no—
1042C2×D3—62no—
1043C2×D3—62no—
1044C2×D3—68no—
1045C2×D3—68no—
1046C2×D3—61no—
1047C2×D3—61no—
1048C2×D3—61no—
1049C2×D3—61no—
1050C2×D3—61no—
1051C2×D3—61no—
1052C2×D3—61no—
1053C2×D3—61no—
1054C2×D3—61no—
1055C2×D3—61no—
1056C2×D3—61no—
1057C2×D3—61no—
1058C2×D3—61no—
1059C2×D3—61no—
1060C2×D3—121no—
1061C2×D3—121no—
1062C2×D3—121no—
1063C2×D3—121no—
1064C2×D3—128no—
1065C2×D3—121no—
1066C2×D3—121no—
1067C2×D3—121no—
1068C3×C4—21no—
1069C3×C4—21no—
1070C3×C4—21no—
1071C3×C4—21no—
1072C3×C4—21no—
1073C3×C4—21no—
1074C3×C4—32no—
1075C3×C4—32no—
1076C3×C4—32no—
1077C3×C4—32no—
1078C3×C4—41no—
1079C3×C4—41no—
1080C3×C4—41no—
1081C3×C4—41no—
1082C3×C4—41no—
1083C3×C4—41no—
1084C3×C4—62no—
1085C3×C4—62no—
1086C3×C4—62no—
1087C3×C4—61no—
1088C3×C4—61no—
1089C3×C4—61no—
1090C3×C4—61no—
1091C3×C4—61no—
1092C3×C4—61no—
1093C3×C4—61no—
1094C3×C4—61no—
1095C3×C4—61no—
1096C3×C4—61no—
1097C3×C4—81no—
1098C3×C4—81no—
1099C3×C4—121no—
1100C3×C4—121no—
1101C3×C4—121no—
1102C3×C4—121no—
1103C3×C4—181no—
1104Dic3—21no—
1105Dic3—21no—
1106Dic3—21no—
1107Dic3—21no—
1108Dic3—21no—
1109Dic3—61no—
1110Dic3—61no—
1111Dic3—121no—
1112Dic3C3×D3×D412yes—
1113Dic3C3×D3×D412yes—
1114C32—21no—
1115C32—21no—
1116C32—21no—
1117C32—41no—
1118C32#554711yescharacteristic, complemented
1119C32#562711yescharacteristic, complemented
1120C32C3×#52511yescharacteristic, complemented
1121C23—31no—
1122C23—91no—
1123C23—91no—
1124C23—91no—
1125C23—182no—
1126C23—182no—
1127C23—182no—
1128C23C2×C3×D3211yescharacteristic
1129Q8—62no—
1130D4—62no—
1131D4—182no—
1132D4—182no—
1133D4—182no—
1134D4—182no—
1135D4—182no—
1136D4—182no—
1137C2×C4—31no—
1138C2×C4—31no—
1139C2×C4—31no—
1140C2×C4—31no—
1141C2×C4—31no—
1142C2×C4—31no—
1143C2×C4—31no—
1144C2×C4—62no—
1145C2×C4—62no—
1146C2×C4—62no—
1147C2×C4—94no—
1148C2×C4—91no—
1149C2×C4—182no—
1150C2×C4—182no—
1151C2×C4—182no—
1152C2×C4—182no—
1153C2×C4C2×C3×D3211yescharacteristic
1154C2×C4C2×C3×D3211yescharacteristic
1155C2×C3—22no—
1156C2×C3—22no—
1157C2×C3—22no—
1158C2×C3—21no—
1159C2×C3—21no—
1160C2×C3—21no—
1161C2×C3—21no—
1162C2×C3—21no—
1163C2×C3—21no—
1164C2×C3—21no—
1165C2×C3—21no—
1166C2×C3—21no—
1167C2×C3—42no—
1168C2×C3—42no—
1169C2×C3—42no—
1170C2×C3—41no—
1171C2×C3—41no—
1172C2×C3—41no—
1173C2×C3—82no—
1174C2×C3—122no—
1175C2×C3—121no—
1176C2×C3—121no—
1177C2×C3—182no—
1178C2×C3—182no—
1179C2×C3—361no—
1180C2×C3C2×#379911yescharacteristic
1181C2×C3D32×D411yescharacteristic
1182C2×C3#6431211yescharacteristic
1183C2×C3C2×C3×#23511yescharacteristic
1184C2×C3C2×C3×D3×D411yescharacteristic
1185C2×C3C2×C3×D3×D411yescharacteristic
1186C2×C3C2×C3×#23911yescharacteristic
1187C2×C3C3×D3×#4111yescharacteristic
1188C2×C3C3×D3×#4111yescharacteristic
1189D3—41no—
1190D3—62no—
1191D3—62no—
1192D3—62no—
1193D3—62no—
1194D3—122no—
1195D3—122no—
1196D3—121no—
1197D3—121no—
1198D3—241no—
1199C22—21no—
1200C22—21no—
1201C22—61no—
1202C22—61no—
1203C22—61no—
1204C22—92no—
1205C22—92no—
1206C22—188no—
1207C22—181no—
1208C22—181no—
1209C22—181no—
1210C22—181no—
1211C22—181no—
1212C22—181no—
1213C22—181no—
1214C22C3×#379912yescomplemented
1215C22C22×C3×D3211yescharacteristic
1216C4—21no—
1217C4—21no—
1218C4—32no—
1219C4—32no—
1220C4—61no—
1221C4—61no—
1222C4—61no—
1223C4—61no—
1224C4—61no—
1225C4—181no—
1226C3—21no—
1227C3—21no—
1228C3—21no—
1229C3—41no—
1230C3#1059406611yescharacteristic, direct product factor
1231C3C3×#554711yescharacteristic, complemented
1232C3C3×#562711yescharacteristic, complemented
1233C2—22no—
1234C2—121no—
1235C2—182no—
1236C2—182no—
1237C2—361no—
1238C2C2×C3×#379911yescharacteristic
1239C2C3×D32×D411yescharacteristic
1240C2C3×#6431211yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC33×C22⋊C4C22
socleC22×C33C24
hypercenterC3×C22⋊C4D32
hypocenterC32C3×#525
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C3×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#624C2semidirect
2. C2×C3×#3799C2semidirect
3. C3×#64091C2semidirect
4. C32×#67⋊C4C2semidirect
5. C32×#878C2semidirect
6. C3×#63981C2semidirect
7. C3×#63978C2semidirect
8. C3×#63952C2semidirect
9. C3×#63910C2semidirect
10. C3×#63904C2semidirect
11. C3×#63897C2semidirect
12. C3×#63894C2semidirect
13. C3×#63888C2semidirect
14. C3×#63854C2semidirect
15. C3×#63836C2semidirect
18. #10594066C3direct (N × H)
26. C2×C32×C4×D3C22semidirect
27. C2×C32×Dic6C22semidirect
30. C2×C3×#626C22semidirect
36. C2×C3×#624C22semidirect
42. C32×(C2×D3)⋊C4C22semidirect
43. C32×C4⋊Dic3C22semidirect
44. C32×Dic3⋊C4C22semidirect
45. C32×Dic3⋊C4C22semidirect
46. C32×Dic3⋊C4C22semidirect
47. C32×C4×Dic3C22semidirect
48. C3×#3724C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
52. C3×#3722C22semidirect
53. C3×#3722C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C22×#624C2×C3semidirect
61. C2×#3799C2×C3semidirect
64. #64091C2×C3semidirect
87. C3×#67⋊C4D3semidirect
88. C3×#67⋊C4C2×C3semidirect
90. C3×#878D3semidirect
91. C3×#878C2×C3semidirect
94. #63981C2×C3semidirect
95. #63978C2×C3semidirect
96. #63952C2×C3semidirect
97. #63910C2×C3semidirect
98. #63904C2×C3semidirect
99. #63897C2×C3semidirect
100. #63894C2×C3semidirect
101. #63888C2×C3semidirect
102. #63854C2×C3semidirect
103. #63836C2×C3semidirect
137. C3×#624D4semidirect
192. C2×C3×C4×D3C2×D3semidirect
193. C2×C3×C4×D3C22×C3semidirect
195. C2×C3×Dic6C2×D3semidirect
196. C2×C3×Dic6C22×C3semidirect
199. C2×#626C22×C3semidirect
205. C2×#624C22×C3semidirect
243. C3×(C2×D3)⋊C4C2×D3semidirect
244. C3×(C2×D3)⋊C4C22×C3semidirect
247. C3×C4⋊Dic3C2×D3semidirect
248. C3×C4⋊Dic3C22×C3semidirect
255. C3×Dic3⋊C4C2×D3semidirect
256. C3×Dic3⋊C4C2×D3semidirect
257. C3×Dic3⋊C4C2×D3semidirect
258. C3×Dic3⋊C4C22×C3semidirect
259. C3×Dic3⋊C4C22×C3semidirect
260. C3×Dic3⋊C4C22×C3semidirect
264. C3×C4×Dic3C2×D3semidirect
265. C3×C4×Dic3C22×C3semidirect
266. #3724C22×C3semidirect
267. Dic3⋊Dic3C22×C3semidirect
270. #3722C22×C3semidirect
271. #3722C22×C3semidirect
272. (C2×D3)⋊Dic3C22×C3semidirect
273. Dic32C22×C3semidirect
276. C22×C33#41semidirect
287. C2×C3×C3⋊D3#41semidirect
345. #67⋊C4C3×D3semidirect
346. #878C3×D3semidirect
485. #624C3×D4semidirect
559. C2×C4×D3C2×C3×D3semidirect
560. C2×Dic6C2×C3×D3semidirect
616. (C2×D3)⋊C4C2×C3×D3semidirect
618. C4⋊Dic3C2×C3×D3semidirect
622. Dic3⋊C4C2×C3×D3semidirect
623. Dic3⋊C4C2×C3×D3semidirect
624. Dic3⋊C4C2×C3×D3semidirect
627. C4×Dic3C2×C3×D3semidirect
653. C22×C32#235semidirect
654. C22×C32#239semidirect
655. C22×C32C3×#41semidirect
668. C2×C3⋊D3C3×#41semidirect
769. C33#525semidirect
1029. C22×C3#3799semidirect
1030. C22×C3C3×#235semidirect
1031. C22×C3C3×#239semidirect
1118. C32#5547semidirect
1119. C32#5627semidirect
1120. C32C3×#525semidirect
1214. C22C3×#3799semidirect
1230. C3#10594066direct (N × H)
1231. C3C3×#5547semidirect
1232. C3C3×#5627semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#6242
C2×C3×#37992
C3×#640912
C32×#67⋊C42
C32×#8782
C3×#639812
C3×#639782
C3×#639522
C3×#639102
C3×#639042
C3×#638972
C3×#638942
C3×#638882
C3×#638542
C3×#638362
C3×#56273
C3×#55473
#105940663