Finite Group Databasebeta

← C3×#10591154 #13158331

Subgroups — C3×#10591154 #13158331

Order 1728.

1150 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×C4×D3C211yesmaximal, characteristic
2C2×C3×#3711C212yesmaximal, complemented
3C3×#63657C211yesmaximal, characteristic, complemented
4C32×#830C211yesmaximal, characteristic, complemented
5C3×(C2×D3)⋊(C3⋊C8)C212yesmaximal, complemented
6C3×#5207—31nomaximal
7C3×#4726—31nomaximal
8#10591154C311yesmaximal, characteristic, direct product factor
9C23×C32×D3C411yescharacteristic
10C22×C33×C4C2211yescharacteristic
11C22×C32×Dic3C411yescharacteristic
12C2×C32×C4×D3—24no—
13C2×C32×C4×D3C411yescharacteristic
14C2×C32×C4×D3C411yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×C32×C4×D3C2211yescharacteristic
17C2×C3×C3⋊(C3⋊C8)C2212yescomplemented
18C2×C32×C3⋊C8C2212yescomplemented
19C3×#3711—24no—
20C23×C32×C4—31no—
21C22×C3×C4×D3—21no—
22C22×C3×C4×D3D311yescharacteristic
23C22×C3×C4×D3C2×C311yescharacteristic
24C2×C3×#208—32no—
25C2×C3×ΓL(1,𝔽25)—32no—
26C2×#3711C2×C312yescomplemented
27C32×C22⋊C8—31no—
28#63657C2×C311yescharacteristic, complemented
29C3×#830—21no—
30C3×#830—31no—
31C3×#830—31no—
32C3×#830—32no—
33C3×#830—61no—
34C3×#830D311yescharacteristic, complemented
35C3×#830C2×C311yescharacteristic, complemented
36C3×(C2×D3)⋊C8—32no—
37(C2×D3)⋊(C3⋊C8)C2×C312yescomplemented
38C23×C33C2×C411yescharacteristic
39C22×C32×D3—22no—
40C22×C32×D3—22no—
41C22×C32×D3—22no—
42C22×C32×D3C2×C411yescharacteristic
43C22×C32×D3C2×C411yescharacteristic
44C2×C33×C4—22no—
45C2×C33×C4C2×C411yescharacteristic
46C2×C33×C4C2311yescharacteristic
47C2×C32×Dic3—22no—
48C2×C32×Dic3C2×C411yescharacteristic
49C2×C32×Dic3C2×C411yescharacteristic
50C32×C4×D3—22no—
51C32×C4×D3—22no—
52C32×C4×D3—22no—
53C32×C4×D3D414yes—
54C3×C3⋊(C3⋊C8)—22no—
55C32×C3⋊C8—22no—
56C3×#407—91no—
57#5207—31no—
58#4726—31no—
59C24×C32—31no—
60C23×C3×D3—21no—
61C23×C3×D3Dic311yescharacteristic
62C23×C3×D3C3×C411yescharacteristic
63C22×C32×C4—21no—
64C22×C32×C4—21no—
65C22×C32×C4—21no—
66C22×C32×C4—31no—
67C22×C32×C4—31no—
68C22×C32×C4—31no—
69C22×C32×C4—31no—
70C22×C32×C4—31no—
71C22×C32×C4—41no—
72C22×C32×C4—64no—
73C22×C32×C4C2×D311yescharacteristic
74C22×C32×C4C2×D311yescharacteristic
75C22×C32×C4C22×C311yescharacteristic
76C22×C3×Dic3—21no—
77C22×C3×Dic3Dic311yescharacteristic
78C22×C3×Dic3C3×C411yescharacteristic
79C2×C3×C4×D3—28no—
80C2×C3×C4×D3—21no—
81C2×C3×C4×D3—21no—
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—24no—
85C2×C3×C4×D3—24no—
86C2×C3×C4×D3Dic311yescharacteristic
87C2×C3×C4×D3Dic311yescharacteristic
88C2×C3×C4×D3C3×C411yescharacteristic
89C2×C3×C4×D3C3×C411yescharacteristic
90C2×C3×C4×D3C2×D311yescharacteristic
91C2×C3×C4×D3C2×D311yescharacteristic
92C2×C3×C4×D3C22×C311yescharacteristic
93C2×C3×C4×D3C22×C311yescharacteristic
94C2×C32×C8—32no—
95C2×C3⋊(C3⋊C8)C22×C312yescomplemented
96C3×#208—64no—
97C2×C3×C3⋊C8—22no—
98C2×C3×C3⋊C8—32no—
99C2×C3×C3⋊C8—32no—
100C2×C3×C3⋊C8—62no—
101C2×C3×C3⋊C8C2×D312yescomplemented
102C2×C3×C3⋊C8C22×C312yescomplemented
103C3×ΓL(1,𝔽25)—64no—
104#3711—24no—
105C22×C33—21no—
106C22×C33—21no—
107C22×C33M1612yescomplemented
108C22×C33C22×C411yescharacteristic
109C2×C32×D3—28no—
110C2×C32×D3—21no—
111C2×C32×D3—21no—
112C2×C32×D3—21no—
113C2×C32×D3—21no—
114C2×C32×D3C22⋊C412yes—
115C2×C32×D3M1612yescomplemented
116C33×C4—21no—
117C33×C4C2×D412yes—
118C32×Dic3—21no—
119C32×Dic3C22⋊C412yes—
120C23×C3×C4—31no—
121C23×C3×C4—31no—
122C23×C3×C4—61no—
123C22×C4×D3C3×D311yescharacteristic
124C2×C3×M16—92no—
125C2×#208—32no—
126C2×ΓL(1,𝔽25)—32no—
127C3×C22⋊C8—31no—
128C3×C22⋊C8—31no—
129C3×C22⋊C8—61no—
130C3×C22⋊C8—92no—
131C3×C22⋊C8—91no—
132#830—31no—
133#830—31no—
134#830—32no—
135#830—61no—
136#830C3×D311yescharacteristic, complemented
137(C2×D3)⋊C8—32no—
138C23×C32—21no—
139C23×C32—21no—
140C23×C32—21no—
141C23×C32—31no—
142C23×C32—31no—
143C23×C32—41no—
144C23×C32—62no—
145C23×C32—62no—
146C23×C32—62no—
147C23×C32C4×D311yescharacteristic
148C23×C32C2×Dic311yescharacteristic
149C23×C32C2×C3×C411yescharacteristic
150C22×C3×D3—24no—
151C22×C3×D3—24no—
152C22×C3×D3—24no—
153C22×C3×D3—22no—
154C22×C3×D3—22no—
155C22×C3×D3—22no—
156C22×C3×D3—22no—
157C22×C3×D3—22no—
158C22×C3×D3—22no—
159C22×C3×D3—21no—
160C22×C3×D3—21no—
161C22×C3×D3C2×Dic311yescharacteristic
162C22×C3×D3C2×Dic311yescharacteristic
163C22×C3×D3C2×C3×C411yescharacteristic
164C22×C3×D3C2×C3×C411yescharacteristic
165C2×C32×C4—22no—
166C2×C32×C4—24no—
167C2×C32×C4—22no—
168C2×C32×C4—22no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4—31no—
176C2×C32×C4—34no—
177C2×C32×C4—31no—
178C2×C32×C4—41no—
179C2×C32×C4—41no—
180C2×C32×C4—42no—
181C2×C32×C4—42no—
182C2×C32×C4—44no—
183C2×C32×C4—62no—
184C2×C32×C4—62no—
185C2×C32×C4—62no—
186C2×C32×C4—62no—
187C2×C32×C4C4×D311yescharacteristic
188C2×C32×C4C2×Dic311yescharacteristic
189C2×C32×C4C2×C3×C411yescharacteristic
190C2×C32×C4C22×D311yescharacteristic
191C2×C32×C4C22×D311yescharacteristic
192C2×C32×C4C23×C311yescharacteristic
193C2×C3×Dic3—24no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3C2×Dic311yescharacteristic
199C2×C3×Dic3C2×Dic311yescharacteristic
200C2×C3×Dic3C2×C3×C411yescharacteristic
201C2×C3×Dic3C2×C3×C411yescharacteristic
202C3×C4×D3—24no—
203C3×C4×D3—24no—
204C3×C4×D3—24no—
205C3×C4×D3—22no—
206C3×C4×D3—22no—
207C3×C4×D3—22no—
208C3×C4×D3—22no—
209C3×C4×D3—22no—
210C3×C4×D3—22no—
211C3×C4×D3—24no—
212C3×C4×D3#6714yes—
213C3×C4×D3C3×D414yes—
214C32×C8—62no—
215C3⋊(C3⋊C8)—22no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—22no—
218C3×C3⋊C8—42no—
219C3×C3⋊C8—62no—
220C3×C3⋊C8—62no—
221C3×C3⋊C8—122no—
222#407—91noSylow
223C2×C33—22no—
224C2×C33C2×C22⋊C411yescharacteristic
225C2×C33C2×M1611yescharacteristic
226C2×C33C2×M1611yescharacteristic
227C32×D3—22no—
228C32×D3—22no—
229C24×C3—31no—
230C24×C3—31no—
231C24×C3—61no—
232C23×D3C3×Dic311yescharacteristic
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—31no—
239C22×C3×C4—31no—
240C22×C3×C4—31no—
241C22×C3×C4—31no—
242C22×C3×C4—31no—
243C22×C3×C4—31no—
244C22×C3×C4—31no—
245C22×C3×C4—31no—
246C22×C3×C4—41no—
247C22×C3×C4—61no—
248C22×C3×C4—61no—
249C22×C3×C4—61no—
250C22×C3×C4—61no—
251C22×C3×C4—61no—
252C22×C3×C4—64no—
253C22×C3×C4—64no—
254C22×C3×C4—68no—
255C22×C3×C4D3211yescharacteristic
256C22×C3×C4C2×C3×D311yescharacteristic
257C22×C3×C4C2×C3×D311yescharacteristic
258C22×Dic3C3×Dic311yescharacteristic
259C2×C4×D3—24no—
260C2×C4×D3C3×Dic311yescharacteristic
261C2×C4×D3C3×Dic311yescharacteristic
262C2×C4×D3C2×C3×D311yescharacteristic
263C2×C4×D3C2×C3×D311yescharacteristic
264C3×M16—184no—
265C2×C3×C8—32no—
266C2×C3×C8—32no—
267C2×C3×C8—62no—
268C2×C3×C8—92no—
269#208—64no—
270C2×C3⋊C8—32no—
271C2×C3⋊C8—32no—
272C2×C3⋊C8—62no—
273C2×C3⋊C8C2×C3×D312yescomplemented
274ΓL(1,𝔽25)—64no—
275C22×C32—21no—
276C22×C32—21no—
277C22×C32—22no—
278C22×C32—22no—
279C22×C32—21no—
280C22×C32—21no—
281C22×C32—21no—
282C22×C32—21no—
283C22×C32—22no—
284C22×C32—22no—
285C22×C32—22no—
286C22×C32—21no—
287C22×C32—21no—
288C22×C32—21no—
289C22×C32—32no—
290C22×C32—32no—
291C22×C32—42no—
292C22×C32—41no—
293C22×C32—41no—
294C22×C32—41no—
295C22×C32—41no—
296C22×C32—41no—
297C22×C32—42no—
298C22×C32—42no—
299C22×C32—68no—
300C22×C32—61no—
301C22×C32—61no—
302C22×C32—61no—
303C22×C32—61no—
304C22×C32ΓL(1,𝔽25)12yescomplemented
305C22×C32#20812yescomplemented
306C22×C32C3×M1612yescomplemented
307C22×C32C2×C4×D311yescharacteristic
308C22×C32C22×Dic311yescharacteristic
309C22×C32C22×C3×C411yescharacteristic
310C2×C3×D3—22no—
311C2×C3×D3—216no—
312C2×C3×D3—28no—
313C2×C3×D3—28no—
314C2×C3×D3—22no—
315C2×C3×D3—22no—
316C2×C3×D3—22no—
317C2×C3×D3—21no—
318C2×C3×D3—21no—
319C2×C3×D3—21no—
320C2×C3×D3—21no—
321C2×C3×D3—21no—
322C2×C3×D3—21no—
323C2×C3×D3—21no—
324C2×C3×D3—21no—
325C2×C3×D3—22no—
326C2×C3×D3—22no—
327C2×C3×D3#20812yescomplemented
328C2×C3×D3#21712yes—
329C2×C3×D3C3×C22⋊C412yes—
330C2×C3×D3C3×M1612yescomplemented
331C32×C4—21no—
332C32×C4—22no—
333C32×C4—21no—
334C32×C4—21no—
335C32×C4—22no—
336C32×C4—22no—
337C32×C4—22no—
338C32×C4—32no—
339C32×C4—42no—
340C32×C4—41no—
341C32×C4—41no—
342C32×C4—42no—
343C32×C4—61no—
344C32×C4D3×D412yes—
345C32×C4C2×#6712yes—
346C32×C4C2×C3×D412yes—
347C3×Dic3—22no—
348C3×Dic3—21no—
349C3×Dic3—21no—
350C3×Dic3—22no—
351C3×Dic3#21712yes—
352C3×Dic3C3×C22⋊C412yes—
353C23×C4—31no—
354C2×M16—92no—
355C22⋊C8—31no—
356C22⋊C8—92no—
357C22⋊C8—91no—
358C33#40711yescharacteristic, complemented, Sylow
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—31no—
363C23×C3—31no—
364C23×C3—31no—
365C23×C3—31no—
366C23×C3—41no—
367C23×C3—61no—
368C23×C3—61no—
369C23×C3—62no—
370C23×C3—62no—
371C23×C3—62no—
372C23×C3—62no—
373C23×C3—64no—
374C23×C3—64no—
375C23×C3—64no—
376C23×C3—62no—
377C23×C3—62no—
378C23×C3D3×Dic311yescharacteristic
379C23×C3C3×C4×D311yescharacteristic
380C23×C3C2×C3×Dic311yescharacteristic
381C22×D3—22no—
382C22×D3—22no—
383C22×D3—22no—
384C22×D3C2×C3×Dic311yescharacteristic
385C22×D3C2×C3×Dic311yescharacteristic
386C2×C3×C4—24no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—31no—
397C2×C3×C4—31no—
398C2×C3×C4—34no—
399C2×C3×C4—34no—
400C2×C3×C4—31no—
401C2×C3×C4—31no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—44no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—64no—
408C2×C3×C4—61no—
409C2×C3×C4—61no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—64no—
415C2×C3×C4—64no—
416C2×C3×C4—64no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—64no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4D3×Dic311yescharacteristic
423C2×C3×C4C3×C4×D311yescharacteristic
424C2×C3×C4C2×C3×Dic311yescharacteristic
425C2×C3×C4C2×D3211yescharacteristic
426C2×C3×C4C22×C3×D311yescharacteristic
427C2×C3×C4C22×C3×D311yescharacteristic
428C2×Dic3—22no—
429C2×Dic3C2×C3×Dic311yescharacteristic
430C2×Dic3C2×C3×Dic311yescharacteristic
431C4×D3—22no—
432C4×D3—22no—
433C4×D3—22no—
434C4×D3C3×#6714yes—
435C3×C8—62no—
436C3×C8—62no—
437C3×C8—122no—
438C3×C8—182no—
439C3⋊C8—22no—
440C3⋊C8—62no—
441C3⋊C8—62no—
442C3⋊C8—122no—
443C2×C32—22no—
444C2×C32—24no—
445C2×C32—22no—
446C2×C32—22no—
447C2×C32—21no—
448C2×C32—21no—
449C2×C32—21no—
450C2×C32—21no—
451C2×C32—21no—
452C2×C32—21no—
453C2×C32—21no—
454C2×C32—21no—
455C2×C32—21no—
456C2×C32—41no—
457C2×C32—41no—
458C2×C32—41no—
459C2×C32—42no—
460C2×C32—42no—
461C2×C32—44no—
462C2×C32—62no—
463C2×C32—62no—
464C2×C32D3×C22⋊C411yescharacteristic
465C2×C32C2×ΓL(1,𝔽25)11yescharacteristic
466C2×C32D3×M1611yescharacteristic
467C2×C32C2×#20811yescharacteristic
468C2×C32C2×#20811yescharacteristic
469C2×C32C2×#21711yescharacteristic
470C2×C32C2×C3×C22⋊C411yescharacteristic
471C2×C32C2×C3×M1611yescharacteristic
472C2×C32C2×C3×M1611yescharacteristic
473C3×D3—24no—
474C3×D3—24no—
475C3×D3—22no—
476C3×D3—22no—
477C3×D3—22no—
478C3×D3—22no—
479C24—31no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—64no—
486C22×C4C3×D3211yescharacteristic
487M16—184no—
488C2×C8—32no—
489C2×C8—92no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—32no—
505C22×C3—32no—
506C22×C3—32no—
507C22×C3—32no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—41no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—41no—
515C22×C3—42no—
516C22×C3—62no—
517C22×C3—62no—
518C22×C3—62no—
519C22×C3—616no—
520C22×C3—68no—
521C22×C3—68no—
522C22×C3—62no—
523C22×C3—62no—
524C22×C3—62no—
525C22×C3—61no—
526C22×C3—61no—
527C22×C3—61no—
528C22×C3—61no—
529C22×C3—61no—
530C22×C3—61no—
531C22×C3—61no—
532C22×C3—61no—
533C22×C3#371112yescomplemented
534C22×C3C3×ΓL(1,𝔽25)12yescomplemented
535C22×C3C3×#20812yescomplemented
536C22×C3C2×D3×Dic311yescharacteristic
537C22×C3C2×C3×C4×D311yescharacteristic
538C22×C3C22×C3×Dic311yescharacteristic
539C2×D3—28no—
540C2×D3—21no—
541C2×D3—21no—
542C2×D3—21no—
543C2×D3—21no—
544C2×D3C3×#20812yescomplemented
545C2×D3C3×#21712yes—
546C3×C4—22no—
547C3×C4—21no—
548C3×C4—21no—
549C3×C4—21no—
550C3×C4—22no—
551C3×C4—22no—
552C3×C4—22no—
553C3×C4—32no—
554C3×C4—32no—
555C3×C4—41no—
556C3×C4—41no—
557C3×C4—42no—
558C3×C4—42no—
559C3×C4—62no—
560C3×C4—62no—
561C3×C4—61no—
562C3×C4—61no—
563C3×C4D3×#6712yes—
564C3×C4C3×D3×D412yes—
565C3×C4C2×C3×#6712yes—
566Dic3—21no—
567Dic3C3×#21712yes—
568C32—21no—
569C32—21no—
570C32—21no—
571C32—41no—
572C32#472611yescharacteristic, complemented
573C32#520711yescharacteristic, complemented
574C32C3×#40711yescharacteristic, complemented
575C23—31no—
576C23—31no—
577C23—62no—
578C23—62no—
579C23—62no—
580C23C3×D3×Dic311yescharacteristic
581C2×C4—22no—
582C2×C4—31no—
583C2×C4—34no—
584C2×C4—31no—
585C2×C4—62no—
586C2×C4—62no—
587C2×C4—62no—
588C2×C4—62no—
589C2×C4C3×D3×Dic311yescharacteristic
590C2×C4C2×C3×D3211yescharacteristic
591C8—62no—
592C8—182no—
593C2×C3—24no—
594C2×C3—22no—
595C2×C3—22no—
596C2×C3—22no—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—42no—
607C2×C3—42no—
608C2×C3—44no—
609C2×C3—41no—
610C2×C3—41no—
611C2×C3—41no—
612C2×C3—64no—
613C2×C3—64no—
614C2×C3—62no—
615C2×C3—62no—
616C2×C3—62no—
617C2×C3—62no—
618C2×C3D3×#20811yescharacteristic
619C2×C3C2×#371111yescharacteristic
620C2×C3D3×#21711yescharacteristic
621C2×C3C3×D3×C22⋊C411yescharacteristic
622C2×C3C2×C3×ΓL(1,𝔽25)11yescharacteristic
623C2×C3C3×D3×M1611yescharacteristic
624C2×C3C2×C3×#20811yescharacteristic
625C2×C3C2×C3×#20811yescharacteristic
626C2×C3C2×C3×#21711yescharacteristic
627D3—22no—
628D3—22no—
629C22—21no—
630C22—21no—
631C22—32no—
632C22—32no—
633C22—68no—
634C22—61no—
635C22—61no—
636C22—61no—
637C22—61no—
638C22C3×#371112yescomplemented
639C22C2×C3×D3×Dic311yescharacteristic
640C4—21no—
641C4—32no—
642C4—61no—
643C4C3×D3×#6712yes—
644C3—21no—
645C3—21no—
646C3—21no—
647C3—41no—
648C3#1059115411yescharacteristic, direct product factor
649C3C3×#472611yescharacteristic, complemented
650C3C3×#520711yescharacteristic, complemented
651C2—22no—
652C2—62no—
653C2—62no—
654C2C3×D3×#20811yescharacteristic
655C2C2×C3×#371111yescharacteristic
656C2C3×D3×#21711yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutatorC22×C32C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC22×C33×C4C22
socleC22×C33C22×C4
prime radicalC23×C32×D3C4
cosocleC2×C32×C4C23×C3
hypercenterC22×C3×C4D32
hypocenterC32C3×#407
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×#3711C2semidirect
3. C3×#63657C2semidirect
4. C32×#830C2semidirect
5. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
8. #10591154C3direct (N × H)
17. C2×C3×C3⋊(C3⋊C8)C22semidirect
18. C2×C32×C3⋊C8C22semidirect
26. C2×#3711C2×C3semidirect
28. #63657C2×C3semidirect
34. C3×#830D3semidirect
35. C3×#830C2×C3semidirect
37. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
95. C2×C3⋊(C3⋊C8)C22×C3semidirect
101. C2×C3×C3⋊C8C2×D3semidirect
102. C2×C3×C3⋊C8C22×C3semidirect
107. C22×C33M16semidirect
115. C2×C32×D3M16semidirect
136. #830C3×D3semidirect
273. C2×C3⋊C8C2×C3×D3semidirect
304. C22×C32ΓL(1,𝔽25)semidirect
305. C22×C32#208semidirect
306. C22×C32C3×M16semidirect
327. C2×C3×D3#208semidirect
330. C2×C3×D3C3×M16semidirect
358. C33#407semidirect
533. C22×C3#3711semidirect
534. C22×C3C3×ΓL(1,𝔽25)semidirect
535. C22×C3C3×#208semidirect
544. C2×D3C3×#208semidirect
572. C32#4726semidirect
573. C32#5207semidirect
574. C32C3×#407semidirect
638. C22C3×#3711semidirect
648. C3#10591154direct (N × H)
649. C3C3×#4726semidirect
650. C3C3×#5207semidirect

Maximal subgroups

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

subgroupindex
C22×C32×C4×D32
C2×C3×#37112
C3×#636572
C32×#8302
C3×(C2×D3)⋊(C3⋊C8)2
C3×#52073
C3×#47263
#105911543