Finite Group Databasebeta

← C3×#10595285 #13174694

Subgroups — C3×#10595285 #13174694

Order 1728.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×#67C211yesmaximal, characteristic, complemented
2C2×C3×#3804C211yesmaximal, characteristic, complemented
3C3×#64149C211yesmaximal, characteristic, complemented
4C32×#939C211yesmaximal, characteristic, complemented
5C32×#937C211yesmaximal, characteristic, complemented
6C3×#63983C211yesmaximal, characteristic, complemented
7C3×#63979C211yesmaximal, characteristic, complemented
8C3×#63978C211yesmaximal, characteristic, complemented
9C3×#63977C211yesmaximal, characteristic, complemented
10C3×#63958C211yesmaximal, characteristic, complemented
11C3×#63953C211yesmaximal, characteristic, complemented
12C3×#63923C211yesmaximal, characteristic, complemented
13C3×#63915C211yesmaximal, characteristic, complemented
14C3×#63910C211yesmaximal, characteristic, complemented
15C3×#63878C211yesmaximal, characteristic, complemented
16C3×#5607—31nomaximal
17C3×#5592—31nomaximal
18#10595285C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C2×C33×D4C2211yescharacteristic, complemented
22C2×C3×#638C2211yescharacteristic
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C3×#638C2211yescharacteristic, complemented
25C2×C3×#638C2211yescharacteristic, complemented
26C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
27C2×C32×#67C2211yescharacteristic
28C2×C32×#67C2211yescharacteristic
29C2×C32×#67C2211yescharacteristic, complemented
30C2×C32×#67C2211yescharacteristic, complemented
31C22×C32×Dic3C2211yescharacteristic, complemented
32C3×D3×#67—24no—
33C2×C3×#627C2211yescharacteristic, complemented
34C2×C3×#626C2211yescharacteristic
35C2×C3×#626C2211yescharacteristic
36C2×C3×#626C2211yescharacteristic, complemented
37C2×C3×#626C2211yescharacteristic, complemented
38C2×C3×#625C2211yescharacteristic
39C2×C3×#624C2211yescharacteristic, complemented
40C3×#3804—24no—
41C2×C3×D3×Dic3C2211yescharacteristic
42C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
43C32×#217C2211yescharacteristic, complemented
44C32×#217C2211yescharacteristic, complemented
45C32×(C2×D3)⋊C4C2211yescharacteristic
46C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
48C32×Dic3⋊C4C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic, complemented
51C3×#3722C2211yescharacteristic, complemented
52C3×(C2×D3)⋊Dic3C2211yescharacteristic
53C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C22×C3×#67—31no—
57C2×C3×#237—31no—
58C2×C3×D3×D4—31no—
59C2×C3×#235—31no—
60C2×D3×#67C2×C311yescharacteristic, complemented
61C2×#3804C2×C311yescharacteristic, complemented
62C32×#121—31no—
63C32×#120—31no—
64#64149C2×C311yescharacteristic, complemented
65C3×#953—31no—
66C3×#940—31no—
67C3×#940—31no—
68C3×#940—31no—
69C3×#940—31no—
70C3×#940—61no—
71C3×#939—21no—
72C3×#939—31no—
73C3×#939D311yescharacteristic, complemented
74C3×#939C2×C311yescharacteristic, complemented
75C3×#938—31no—
76C3×#937—21no—
77C3×#937—31no—
78C3×#937—31no—
79C3×#937D311yescharacteristic, complemented
80C3×#937C2×C311yescharacteristic, complemented
81C3×#930—31no—
82C3×#895—31no—
83C3×#892—31no—
84C3×#885—31no—
85C3×#885—31no—
86C3×#885—31no—
87C3×#885—31no—
88C3×#884—31no—
89C3×#884—31no—
90C3×#882—31no—
91C3×#882—31no—
92C3×#882—31no—
93C3×#877—31no—
94#63983C2×C311yescharacteristic, complemented
95#63979C2×C311yescharacteristic, complemented
96#63978C2×C311yescharacteristic, complemented
97#63977C2×C311yescharacteristic, complemented
98#63958C2×C311yescharacteristic, complemented
99#63953C2×C311yescharacteristic, complemented
100#63923C2×C311yescharacteristic, complemented
101#63915C2×C311yescharacteristic, complemented
102#63910C2×C311yescharacteristic, complemented
103#63878C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C23×C33C2311yescharacteristic
106C22×C3×C3⋊D3C2311yescharacteristic
107C22×C3×C3⋊D3C2311yescharacteristic
108C22×C32×D3—22no—
109C22×C32×D3—41no—
110C22×C32×D3—41no—
111C22×C32×D3C2311yescharacteristic
112C22×C32×D3C2311yescharacteristic
113C22×C32×D3C2311yescharacteristic
114C2×C3×D32—22no—
115C2×C3×D32—41no—
116C2×C3×D32—41no—
117C33×D4—41no—
118C2×C33×C4C2311yescharacteristic
119C3×#638—22no—
120C3×#638—22no—
121C3×#638—41no—
122C3×#638—41no—
123C2×C3×C3⋊Dic3C2311yescharacteristic
124C2×C3×C3⋊Dic3C2311yescharacteristic
125C3×C4⋊(C3⋊D3)—41no—
126C32×#67—22no—
127C32×#67—22no—
128C32×#67—41no—
129C32×#67—41no—
130C2×C32×Dic3—22no—
131C2×C32×Dic3C2311yescharacteristic
132C2×C32×Dic3C2311yescharacteristic
133C2×C32×Dic3C2311yescharacteristic
134C2×C32×Dic3C2311yescharacteristic
135C2×C32×Dic3C2311yescharacteristic
136C3×#627—22no—
137C3×#626—22no—
138C3×#626—22no—
139C3×#626—41no—
140C3×#626—41no—
141C3×#625—22no—
142C3×#624—22no—
143C3×D3×Dic3D414yescomplemented
144C3×#535—91no—
145#5607—31no—
146#5592—31no—
147C24×C32—31no—
148C23×C3×D3—21no—
149C23×C3×D3—31no—
150C23×C3×D3—31no—
151C23×C3×D3C2×D311yescharacteristic
152C23×C3×D3C22×C311yescharacteristic
153C22×D32C22×C311yescharacteristic
154C2×C32×D4—21no—
155C2×C32×D4—21no—
156C2×C32×D4—21no—
157C2×C32×D4—31no—
158C2×C32×D4—31no—
159C2×C32×D4—31no—
160C2×C32×D4—31no—
161C2×C32×D4—41no—
162C2×C32×D4C2×D311yescharacteristic, complemented
163C2×C32×D4C2×D311yescharacteristic, complemented
164C2×C32×D4C22×C311yescharacteristic, complemented
165C22×C32×C4—31no—
166C2×#638C22×C311yescharacteristic
167C2×#638C22×C311yescharacteristic, complemented
168C2×#638C22×C311yescharacteristic, complemented
169C2×#638C22×C311yescharacteristic, complemented
170C2×C4⋊(C3⋊D3)C22×C311yescharacteristic, complemented
171C2×C3×#67—21no—
172C2×C3×#67—21no—
173C2×C3×#67—21no—
174C2×C3×#67—21no—
175C2×C3×#67—31no—
176C2×C3×#67—31no—
177C2×C3×#67—31no—
178C2×C3×#67—31no—
179C2×C3×#67—31no—
180C2×C3×#67—31no—
181C2×C3×#67—31no—
182C2×C3×#67—31no—
183C2×C3×#67—31no—
184C2×C3×#67—31no—
185C2×C3×#67—31no—
186C2×C3×#67—31no—
187C2×C3×#67—31no—
188C2×C3×#67—31no—
189C2×C3×#67—64no—
190C2×C3×#67—61no—
191C2×C3×#67—61no—
192C2×C3×#67—61no—
193C2×C3×#67—61no—
194C2×C3×#67C2×D311yescharacteristic
195C2×C3×#67C2×D311yescharacteristic
196C2×C3×#67C2×D311yescharacteristic, complemented
197C2×C3×#67C2×D311yescharacteristic, complemented
198C2×C3×#67C22×C311yescharacteristic
199C2×C3×#67C22×C311yescharacteristic
200C2×C3×#67C22×C311yescharacteristic, complemented
201C2×C3×#67C22×C311yescharacteristic, complemented
202C22×C3×Dic3—21no—
203C22×C3×Dic3—31no—
204C22×C3×Dic3C2×D311yescharacteristic, complemented
205C22×C3×Dic3C22×C311yescharacteristic, complemented
206C3×#237—64no—
207C3×D3×D4—64no—
208C3×#235—64no—
209C2×C3×D12—31no—
210C2×C3×D12—31no—
211C2×C3×D12—31no—
212C2×C3×D12—31no—
213C2×C3×D12—31no—
214C2×C3×D12—31no—
215C2×C3×D12—61no—
216C2×C3×C4×D3—31no—
217C2×C3×C4×D3—31no—
218C2×C3×C4×D3—31no—
219C2×C3×Dic6—31no—
220C2×C3×Dic6—31no—
221D3×#67—24no—
222C2×#627C22×C311yescharacteristic, complemented
223C2×#626C22×C311yescharacteristic
224C2×#626C22×C311yescharacteristic
225C2×#626C22×C311yescharacteristic, complemented
226C2×#626C22×C311yescharacteristic, complemented
227C2×#625C22×C311yescharacteristic
228C2×#624C22×C311yescharacteristic, complemented
229#3804—24no—
230C2×D3×Dic3C22×C311yescharacteristic
231C32×C4⋊C4—31no—
232C32×C22⋊C4—31no—
233C32×C22⋊C4—31no—
234C32×C22⋊C4—31no—
235C32×C22⋊C4—31no—
236C32×C22⋊C4—31no—
237C4×C3⋊Dic3C22×C311yescharacteristic, complemented
238C3×#217—21no—
239C3×#217—21no—
240C3×#217—31no—
241C3×#217—31no—
242C3×#217—31no—
243C3×#217C2×D311yescharacteristic, complemented
244C3×#217C2×D311yescharacteristic, complemented
245C3×#217C22×C311yescharacteristic, complemented
246C3×#217C22×C311yescharacteristic, complemented
247C3×(C2×D3)⋊C4—21no—
248C3×(C2×D3)⋊C4—21no—
249C3×(C2×D3)⋊C4—21no—
250C3×(C2×D3)⋊C4—31no—
251C3×(C2×D3)⋊C4—31no—
252C3×(C2×D3)⋊C4—31no—
253C3×(C2×D3)⋊C4—31no—
254C3×(C2×D3)⋊C4—31no—
255C3×(C2×D3)⋊C4—31no—
256C3×(C2×D3)⋊C4—31no—
257C3×(C2×D3)⋊C4C2×D311yescharacteristic
258C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
259C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
260C3×(C2×D3)⋊C4C22×C311yescharacteristic
261C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
262C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
263C3×C4⋊Dic3—31no—
264C3×Dic3⋊C4—21no—
265C3×Dic3⋊C4—31no—
266C3×Dic3⋊C4C2×D311yescharacteristic, complemented
267C3×Dic3⋊C4C22×C311yescharacteristic, complemented
268C3×C4×Dic3—31no—
269C3×C4×Dic3—31no—
270C3×C4×Dic3—31no—
271C3×C4×Dic3—31no—
272C3×C4×Dic3—61no—
273Dic3⋊Dic3C22×C311yescharacteristic, complemented
274#3722C22×C311yescharacteristic, complemented
275#3722C22×C311yescharacteristic, complemented
276(C2×D3)⋊Dic3C22×C311yescharacteristic
277(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
278(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
279Dic32C22×C311yescharacteristic, complemented
280C22×C33—21no—
281C22×C33—21no—
282C22×C33—21no—
283C22×C33—21no—
284C22×C33—21no—
285C22×C33—21no—
286C22×C33C2411yescharacteristic
287C2×C3×C3⋊D3—21no—
288C2×C3×C3⋊D3—21no—
289C2×C3×C3⋊D3—21no—
290C2×C3×C3⋊D3—21no—
291C2×C3×C3⋊D3—21no—
292C2×C3×C3⋊D3—21no—
293C2×C32×D3—21no—
294C2×C32×D3—21no—
295C2×C32×D3—21no—
296C2×C32×D3—21no—
297C2×C32×D3—21no—
298C2×C32×D3—21no—
299C2×C32×D3—21no—
300C2×C32×D3—21no—
301C2×C32×D3—44no—
302C2×C32×D3C2×D412yes—
303C3×D32—44no—
304C33×C4—21no—
305C3×C3⋊Dic3—21no—
306C3×C3⋊Dic3C2×D412yes—
307C32×Dic3—21no—
308C32×Dic3—21no—
309C32×Dic3—21no—
310C32×Dic3—21no—
311C32×Dic3C2×D412yes—
312C2×C3×#41—91no—
313C22×C3×D4—91no—
314C22×#67—31no—
315C2×#237—31no—
316C2×D3×D4—31no—
317C2×#235—31no—
318C3×#127—91no—
319C3×#127—91no—
320C3×#124—91no—
321C3×#124—91no—
322C3×#121—31no—
323C3×#121—31no—
324C3×#121—61no—
325C3×#121—91no—
326C3×#121—91no—
327C3×#121—91no—
328C3×#120—31no—
329C3×#120—31no—
330C3×#120—61no—
331C3×#120—91no—
332C3×#120—91no—
333C3×#120—91no—
334C3×#117—91no—
335#953—31no—
336#940—31no—
337#940—31no—
338#940—31no—
339#940—31no—
340#940—61no—
341#939—31no—
342#939C3×D311yescharacteristic, complemented
343#938—31no—
344#937—31no—
345#937—31no—
346#937C3×D311yescharacteristic, complemented
347#930—31no—
348#895—31no—
349#892—31no—
350#885—31no—
351#885—31no—
352#885—31no—
353#885—31no—
354#884—31no—
355#884—31no—
356#882—31no—
357#882—31no—
358#882—31no—
359#877—31no—
360C23×C32—21no—
361C23×C32—21no—
362C23×C32—21no—
363C23×C32—21no—
364C23×C32—21no—
365C23×C32—21no—
366C23×C32—31no—
367C23×C32—31no—
368C23×C32—31no—
369C23×C32—41no—
370C23×C32—41no—
371C23×C32—62no—
372C23×C32—121no—
373C23×C32—121no—
374C23×C32C22×D311yescharacteristic
375C23×C32C22×D311yescharacteristic
376C23×C32C22×D311yescharacteristic
377C23×C32C22×D311yescharacteristic
378C23×C32C23×C311yescharacteristic
379C23×C32C23×C311yescharacteristic
380C22×C3⋊D3C23×C311yescharacteristic
381C22×C3⋊D3C23×C311yescharacteristic
382C22×C3×D3—22no—
383C22×C3×D3—22no—
384C22×C3×D3—21no—
385C22×C3×D3—21no—
386C22×C3×D3—21no—
387C22×C3×D3—31no—
388C22×C3×D3—31no—
389C22×C3×D3—31no—
390C22×C3×D3—31no—
391C22×C3×D3—42no—
392C22×C3×D3—41no—
393C22×C3×D3—41no—
394C22×C3×D3—41no—
395C22×C3×D3—41no—
396C22×C3×D3—42no—
397C22×C3×D3—42no—
398C22×C3×D3—61no—
399C22×C3×D3—61no—
400C22×C3×D3—62no—
401C22×C3×D3—62no—
402C22×C3×D3—121no—
403C22×C3×D3—121no—
404C22×C3×D3—121no—
405C22×C3×D3—121no—
406C22×C3×D3C22×D311yescharacteristic
407C22×C3×D3C22×D311yescharacteristic
408C22×C3×D3C22×D311yescharacteristic
409C22×C3×D3C23×C311yescharacteristic
410C22×C3×D3C23×C311yescharacteristic
411C22×C3×D3C23×C311yescharacteristic
412C2×D32—22no—
413C2×D32—41no—
414C2×D32—41no—
415C32×D4—41no—
416C32×D4—41no—
417C32×D4—41no—
418C32×D4—42no—
419C32×D4—42no—
420C32×D4—42no—
421C32×D4—44no—
422C32×D4—62no—
423C32×D4—62no—
424C32×D4—121no—
425C32×D4—121no—
426C2×C32×C4—21no—
427C2×C32×C4—21no—
428C2×C32×C4—21no—
429C2×C32×C4—31no—
430C2×C32×C4—31no—
431C2×C32×C4—31no—
432C2×C32×C4—31no—
433C2×C32×C4—31no—
434C2×C32×C4—41no—
435C2×C32×C4—62no—
436C2×C32×C4C22×D311yescharacteristic
437C2×C32×C4C22×D311yescharacteristic
438C2×C32×C4C23×C311yescharacteristic
439#638—22no—
440#638—22no—
441#638—41no—
442#638—41no—
443C2×C3⋊Dic3C23×C311yescharacteristic
444C2×C3⋊Dic3C23×C311yescharacteristic
445C4⋊(C3⋊D3)—41no—
446C3×#67—22no—
447C3×#67—22no—
448C3×#67—22no—
449C3×#67—22no—
450C3×#67—42no—
451C3×#67—42no—
452C3×#67—41no—
453C3×#67—41no—
454C3×#67—41no—
455C3×#67—41no—
456C3×#67—42no—
457C3×#67—42no—
458C3×#67—62no—
459C3×#67—62no—
460C3×#67—62no—
461C3×#67—62no—
462C3×#67—62no—
463C3×#67—62no—
464C3×#67—62no—
465C3×#67—62no—
466C3×#67—122no—
467C3×#67—122no—
468C3×#67—121no—
469C3×#67—121no—
470C3×#67—121no—
471C3×#67—121no—
472C3×#67—121no—
473C3×#67—121no—
474C3×#67—122no—
475C3×#67—122no—
476C2×C3×Dic3—22no—
477C2×C3×Dic3—22no—
478C2×C3×Dic3—21no—
479C2×C3×Dic3—21no—
480C2×C3×Dic3—21no—
481C2×C3×Dic3—21no—
482C2×C3×Dic3—21no—
483C2×C3×Dic3—31no—
484C2×C3×Dic3—31no—
485C2×C3×Dic3—34no—
486C2×C3×Dic3—31no—
487C2×C3×Dic3—31no—
488C2×C3×Dic3—42no—
489C2×C3×Dic3—61no—
490C2×C3×Dic3—61no—
491C2×C3×Dic3C22×D311yescharacteristic
492C2×C3×Dic3C22×D311yescharacteristic
493C2×C3×Dic3C22×D311yescharacteristic
494C2×C3×Dic3C22×D311yescharacteristic
495C2×C3×Dic3C22×D311yescharacteristic
496C2×C3×Dic3C23×C311yescharacteristic
497C2×C3×Dic3C23×C311yescharacteristic
498C2×C3×Dic3C23×C311yescharacteristic
499C2×C3×Dic3C23×C311yescharacteristic
500C2×C3×Dic3C23×C311yescharacteristic
501C3×D12—62no—
502C3×D12—62no—
503C3×D12—121no—
504C3×D12—121no—
505C3×D12—122no—
506C3×D12—121no—
507C3×D12—121no—
508C3×C4×D3—34no—
509C3×C4×D3—62no—
510C3×C4×D3—62no—
511C3×Dic6—62no—
512C3×Dic6—62no—
513#627—22no—
514#626—22no—
515#626—22no—
516#626—41no—
517#626—41no—
518#625—22no—
519#624—22no—
520D3×Dic3C3×D414yescomplemented
521#535—91noSylow
522C2×C33—41no—
523C2×C33—41no—
524C2×C33C22×D411yescharacteristic
525C2×C33H(5,𝔽2)11yescharacteristic
526C2×C33H(5,𝔽2)11yescharacteristic
527C3×C3⋊D3—41no—
528C3×C3⋊D3—41no—
529C32×D3—22no—
530C32×D3—41no—
531C32×D3—41no—
532C24×C3—31no—
533C24×C3—31no—
534C24×C3—61no—
535C24×C3—91no—
536C23×D3—31no—
537C23×D3—31no—
538C23×D3C2×C3×D311yescharacteristic
539C3×#41—184no—
540C2×C3×Q8—91no—
541C2×C3×D4—21no—
542C2×C3×D4—21no—
543C2×C3×D4—21no—
544C2×C3×D4—31no—
545C2×C3×D4—31no—
546C2×C3×D4—31no—
547C2×C3×D4—31no—
548C2×C3×D4—31no—
549C2×C3×D4—31no—
550C2×C3×D4—31no—
551C2×C3×D4—31no—
552C2×C3×D4—41no—
553C2×C3×D4—61no—
554C2×C3×D4—61no—
555C2×C3×D4—61no—
556C2×C3×D4—61no—
557C2×C3×D4—91no—
558C2×C3×D4—91no—
559C2×C3×D4—91no—
560C2×C3×D4—91no—
561C2×C3×D4—91no—
562C2×C3×D4—91no—
563C2×C3×D4—91no—
564C2×C3×D4—91no—
565C2×C3×D4—91no—
566C2×C3×D4—91no—
567C2×C3×D4—184no—
568C2×C3×D4D3211yescharacteristic, complemented
569C2×C3×D4C2×C3×D311yescharacteristic, complemented
570C2×C3×D4C2×C3×D311yescharacteristic, complemented
571C22×C3×C4—31no—
572C22×C3×C4—31no—
573C22×C3×C4—61no—
574C22×C3×C4—91no—
575C22×C3×C4—91no—
576C2×#67—31no—
577C2×#67—31no—
578C2×#67—31no—
579C2×#67—31no—
580C2×#67—31no—
581C2×#67—31no—
582C2×#67—31no—
583C2×#67—31no—
584C2×#67—31no—
585C2×#67—31no—
586C2×#67—31no—
587C2×#67—31no—
588C2×#67—31no—
589C2×#67—31no—
590C2×#67—61no—
591C2×#67—61no—
592C2×#67—61no—
593C2×#67—61no—
594C2×#67—64no—
595C2×#67C2×C3×D311yescharacteristic
596C2×#67C2×C3×D311yescharacteristic
597C2×#67C2×C3×D311yescharacteristic, complemented
598C2×#67C2×C3×D311yescharacteristic, complemented
599C22×Dic3—31no—
600C22×Dic3C2×C3×D311yescharacteristic, complemented
601#237—64no—
602D3×D4—64no—
603#235—64no—
604C2×D12—31no—
605C2×D12—31no—
606C2×D12—31no—
607C2×D12—31no—
608C2×D12—31no—
609C2×D12—31no—
610C2×D12—61no—
611C2×C4×D3—31no—
612C2×C4×D3—31no—
613C2×C4×D3—31no—
614C2×Dic6—31no—
615C2×Dic6—31no—
616C3×C4⋊C4—31no—
617C3×C4⋊C4—31no—
618C3×C4⋊C4—61no—
619C3×C4⋊C4—91no—
620C3×C22⋊C4—31no—
621C3×C22⋊C4—31no—
622C3×C22⋊C4—31no—
623C3×C22⋊C4—31no—
624C3×C22⋊C4—31no—
625C3×C22⋊C4—31no—
626C3×C22⋊C4—31no—
627C3×C22⋊C4—31no—
628C3×C22⋊C4—31no—
629C3×C22⋊C4—31no—
630C3×C22⋊C4—61no—
631C3×C22⋊C4—61no—
632C3×C22⋊C4—61no—
633C3×C22⋊C4—61no—
634C3×C22⋊C4—61no—
635C3×C22⋊C4—91no—
636C3×C22⋊C4—91no—
637C3×C22⋊C4—91no—
638C3×C22⋊C4—91no—
639C3×C22⋊C4—91no—
640C3×C42—91no—
641C3×C42—91no—
642#217—31no—
643#217—31no—
644#217—31no—
645#217C2×C3×D311yescharacteristic, complemented
646#217C2×C3×D311yescharacteristic, complemented
647(C2×D3)⋊C4—31no—
648(C2×D3)⋊C4—31no—
649(C2×D3)⋊C4—31no—
650(C2×D3)⋊C4—31no—
651(C2×D3)⋊C4—31no—
652(C2×D3)⋊C4—31no—
653(C2×D3)⋊C4—31no—
654(C2×D3)⋊C4C2×C3×D311yescharacteristic
655(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
656(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
657C4⋊Dic3—31no—
658Dic3⋊C4—31no—
659Dic3⋊C4C2×C3×D311yescharacteristic, complemented
660C4×Dic3—31no—
661C4×Dic3—31no—
662C4×Dic3—31no—
663C4×Dic3—31no—
664C4×Dic3—61no—
665C22×C32—21no—
666C22×C32—21no—
667C22×C32—22no—
668C22×C32—22no—
669C22×C32—21no—
670C22×C32—21no—
671C22×C32—21no—
672C22×C32—21no—
673C22×C32—21no—
674C22×C32—21no—
675C22×C32—21no—
676C22×C32—21no—
677C22×C32—21no—
678C22×C32—21no—
679C22×C32—21no—
680C22×C32—21no—
681C22×C32—21no—
682C22×C32—21no—
683C22×C32—21no—
684C22×C32—21no—
685C22×C32—21no—
686C22×C32—21no—
687C22×C32—21no—
688C22×C32—32no—
689C22×C32—41no—
690C22×C32—41no—
691C22×C32—41no—
692C22×C32—41no—
693C22×C32—41no—
694C22×C32—42no—
695C22×C32—42no—
696C22×C32—41no—
697C22×C32—41no—
698C22×C32—41no—
699C22×C32—41no—
700C22×C32—41no—
701C22×C32—41no—
702C22×C32—41no—
703C22×C32—41no—
704C22×C32—41no—
705C22×C32—41no—
706C22×C32—41no—
707C22×C32—41no—
708C22×C32—61no—
709C22×C32—61no—
710C22×C32—61no—
711C22×C32—61no—
712C22×C32—61no—
713C22×C32—61no—
714C22×C32—61no—
715C22×C32—61no—
716C22×C32—81no—
717C22×C32—81no—
718C22×C32—81no—
719C22×C32—81no—
720C22×C32—124no—
721C22×C32C23×D311yescharacteristic
722C22×C32C23×D311yescharacteristic
723C22×C32C24×C311yescharacteristic
724C2×C3⋊D3—21no—
725C2×C3⋊D3—21no—
726C2×C3⋊D3—21no—
727C2×C3⋊D3—21no—
728C2×C3⋊D3—21no—
729C2×C3⋊D3—21no—
730C2×C3×D3—21no—
731C2×C3×D3—21no—
732C2×C3×D3—21no—
733C2×C3×D3—21no—
734C2×C3×D3—22no—
735C2×C3×D3—21no—
736C2×C3×D3—21no—
737C2×C3×D3—21no—
738C2×C3×D3—21no—
739C2×C3×D3—21no—
740C2×C3×D3—21no—
741C2×C3×D3—21no—
742C2×C3×D3—21no—
743C2×C3×D3—21no—
744C2×C3×D3—21no—
745C2×C3×D3—21no—
746C2×C3×D3—21no—
747C2×C3×D3—22no—
748C2×C3×D3—41no—
749C2×C3×D3—41no—
750C2×C3×D3—41no—
751C2×C3×D3—41no—
752C2×C3×D3—41no—
753C2×C3×D3—41no—
754C2×C3×D3—41no—
755C2×C3×D3—44no—
756C2×C3×D3—44no—
757C2×C3×D3—48no—
758C2×C3×D3—61no—
759C2×C3×D3—61no—
760C2×C3×D3—61no—
761C2×C3×D3—61no—
762C2×C3×D3—61no—
763C2×C3×D3—61no—
764C2×C3×D3—61no—
765C2×C3×D3—61no—
766C2×C3×D3—61no—
767C2×C3×D3—61no—
768C2×C3×D3—61no—
769C2×C3×D3—61no—
770C2×C3×D3—121no—
771C2×C3×D3—121no—
772C2×C3×D3—121no—
773C2×C3×D3—121no—
774C2×C3×D3—121no—
775C2×C3×D3—121no—
776C2×C3×D3—124no—
777C2×C3×D3—124no—
778C2×C3×D3D3×D412yes—
779C2×C3×D3C2×C3×D412yes—
780D32—44no—
781C32×C4—21no—
782C32×C4—22no—
783C32×C4—21no—
784C32×C4—21no—
785C32×C4—32no—
786C32×C4—41no—
787C32×C4—41no—
788C32×C4—42no—
789C32×C4—61no—
790C32×C4—61no—
791C32×C4—61no—
792C32×C4—61no—
793C3⋊Dic3—21no—
794C3⋊Dic3C2×C3×D412yes—
795C3×Dic3—21no—
796C3×Dic3—21no—
797C3×Dic3—21no—
798C3×Dic3—21no—
799C3×Dic3—21no—
800C3×Dic3—21no—
801C3×Dic3—21no—
802C3×Dic3—21no—
803C3×Dic3—22no—
804C3×Dic3—32no—
805C3×Dic3—32no—
806C3×Dic3—41no—
807C3×Dic3—41no—
808C3×Dic3—41no—
809C3×Dic3—41no—
810C3×Dic3—62no—
811C3×Dic3—62no—
812C3×Dic3—61no—
813C3×Dic3—61no—
814C3×Dic3D3×D412yes—
815C3×Dic3C2×C3×D412yes—
816C2×#41—91no—
817C22×D4—91no—
818#127—91no—
819#127—91no—
820#124—91no—
821#124—91no—
822#121—31no—
823#121—91no—
824#121—91no—
825#121—91no—
826#120—31no—
827#120—91no—
828#120—91no—
829#120—91no—
830#117—91no—
831C33#53511yescharacteristic, complemented, Sylow
832C23×C3—21no—
833C23×C3—21no—
834C23×C3—21no—
835C23×C3—21no—
836C23×C3—21no—
837C23×C3—21no—
838C23×C3—31no—
839C23×C3—31no—
840C23×C3—31no—
841C23×C3—31no—
842C23×C3—31no—
843C23×C3—31no—
844C23×C3—41no—
845C23×C3—41no—
846C23×C3—61no—
847C23×C3—61no—
848C23×C3—61no—
849C23×C3—62no—
850C23×C3—62no—
851C23×C3—91no—
852C23×C3—91no—
853C23×C3—122no—
854C23×C3—121no—
855C23×C3—121no—
856C23×C3—121no—
857C23×C3—121no—
858C23×C3—122no—
859C23×C3—122no—
860C23×C3—182no—
861C23×C3—361no—
862C23×C3—361no—
863C23×C3C2×D3211yescharacteristic
864C23×C3C2×D3211yescharacteristic
865C23×C3C22×C3×D311yescharacteristic
866C23×C3C22×C3×D311yescharacteristic
867C23×C3C22×C3×D311yescharacteristic
868C23×C3C22×C3×D311yescharacteristic
869C22×D3—22no—
870C22×D3—31no—
871C22×D3—31no—
872C22×D3—31no—
873C22×D3—31no—
874C22×D3—41no—
875C22×D3—41no—
876C22×D3—61no—
877C22×D3—61no—
878C22×D3—62no—
879C22×D3—62no—
880C22×D3—121no—
881C22×D3—121no—
882C22×D3—121no—
883C22×D3—121no—
884C22×D3C22×C3×D311yescharacteristic
885C22×D3C22×C3×D311yescharacteristic
886C22×D3C22×C3×D311yescharacteristic
887C3×Q8—182no—
888C3×D4—41no—
889C3×D4—41no—
890C3×D4—41no—
891C3×D4—42no—
892C3×D4—42no—
893C3×D4—42no—
894C3×D4—44no—
895C3×D4—62no—
896C3×D4—62no—
897C3×D4—62no—
898C3×D4—62no—
899C3×D4—122no—
900C3×D4—122no—
901C3×D4—121no—
902C3×D4—121no—
903C3×D4—121no—
904C3×D4—121no—
905C3×D4—122no—
906C3×D4—122no—
907C3×D4—182no—
908C3×D4—182no—
909C3×D4—182no—
910C3×D4—182no—
911C3×D4—182no—
912C3×D4—361no—
913C3×D4—361no—
914C3×D4—361no—
915C3×D4—361no—
916C3×D4—361no—
917C2×C3×C4—21no—
918C2×C3×C4—21no—
919C2×C3×C4—21no—
920C2×C3×C4—31no—
921C2×C3×C4—31no—
922C2×C3×C4—31no—
923C2×C3×C4—31no—
924C2×C3×C4—31no—
925C2×C3×C4—31no—
926C2×C3×C4—31no—
927C2×C3×C4—31no—
928C2×C3×C4—31no—
929C2×C3×C4—31no—
930C2×C3×C4—41no—
931C2×C3×C4—61no—
932C2×C3×C4—61no—
933C2×C3×C4—61no—
934C2×C3×C4—61no—
935C2×C3×C4—61no—
936C2×C3×C4—62no—
937C2×C3×C4—62no—
938C2×C3×C4—94no—
939C2×C3×C4—91no—
940C2×C3×C4—91no—
941C2×C3×C4—122no—
942C2×C3×C4—182no—
943C2×C3×C4C2×D3211yescharacteristic
944C2×C3×C4C22×C3×D311yescharacteristic
945C2×C3×C4C22×C3×D311yescharacteristic
946#67—22no—
947#67—22no—
948#67—41no—
949#67—41no—
950#67—62no—
951#67—62no—
952#67—62no—
953#67—62no—
954#67—62no—
955#67—62no—
956#67—62no—
957#67—62no—
958#67—122no—
959#67—122no—
960#67—121no—
961#67—121no—
962#67—121no—
963#67—121no—
964#67—121no—
965#67—121no—
966#67—122no—
967#67—122no—
968C2×Dic3—22no—
969C2×Dic3—31no—
970C2×Dic3—31no—
971C2×Dic3—34no—
972C2×Dic3—31no—
973C2×Dic3—31no—
974C2×Dic3—61no—
975C2×Dic3—61no—
976C2×Dic3C22×C3×D311yescharacteristic
977C2×Dic3C22×C3×D311yescharacteristic
978C2×Dic3C22×C3×D311yescharacteristic
979C2×Dic3C22×C3×D311yescharacteristic
980C2×Dic3C22×C3×D311yescharacteristic
981D12—62no—
982D12—62no—
983D12—121no—
984D12—121no—
985D12—122no—
986D12—121no—
987D12—121no—
988C4×D3—34no—
989C4×D3—62no—
990C4×D3—62no—
991Dic6—62no—
992Dic6—62no—
993C2×C32—21no—
994C2×C32—21no—
995C2×C32—21no—
996C2×C32—21no—
997C2×C32—21no—
998C2×C32—21no—
999C2×C32—21no—
1000C2×C32—21no—
1001C2×C32—21no—
1002C2×C32—41no—
1003C2×C32—41no—
1004C2×C32—41no—
1005C2×C32—41no—
1006C2×C32—41no—
1007C2×C32—42no—
1008C2×C32—42no—
1009C2×C32—41no—
1010C2×C32—41no—
1011C2×C32—41no—
1012C2×C32—41no—
1013C2×C32—62no—
1014C2×C32—81no—
1015C2×C32—81no—
1016C2×C32—81no—
1017C2×C32—81no—
1018C2×C32—82no—
1019C2×C32—82no—
1020C2×C32—121no—
1021C2×C32—121no—
1022C2×C32C2×D3×D411yescharacteristic
1023C2×C32C2×D3×D411yescharacteristic
1024C2×C32#100411yescharacteristic
1025C2×C32#100411yescharacteristic
1026C2×C32#100411yescharacteristic
1027C2×C32#100911yescharacteristic
1028C2×C32C22×C3×D411yescharacteristic
1029C2×C32C3×H(5,𝔽2)11yescharacteristic
1030C2×C32C3×H(5,𝔽2)11yescharacteristic
1031C3⋊D3—41no—
1032C3⋊D3—41no—
1033C3×D3—22no—
1034C3×D3—22no—
1035C3×D3—42no—
1036C3×D3—42no—
1037C3×D3—41no—
1038C3×D3—41no—
1039C3×D3—41no—
1040C3×D3—41no—
1041C3×D3—81no—
1042C3×D3—121no—
1043C3×D3—121no—
1044C3×D3—121no—
1045C3×D3—121no—
1046C3×D3—241no—
1047C3×D3—241no—
1048C24—31no—
1049C24—91no—
1050#41—184no—
1051C2×Q8—91no—
1052C2×D4—31no—
1053C2×D4—31no—
1054C2×D4—31no—
1055C2×D4—31no—
1056C2×D4—91no—
1057C2×D4—91no—
1058C2×D4—91no—
1059C2×D4—91no—
1060C2×D4—91no—
1061C2×D4—91no—
1062C2×D4—91no—
1063C2×D4—91no—
1064C2×D4—91no—
1065C2×D4—91no—
1066C2×D4—184no—
1067C2×D4C3×D3211yescharacteristic, complemented
1068C22×C4—31no—
1069C22×C4—91no—
1070C22×C4—91no—
1071C4⋊C4—31no—
1072C4⋊C4—91no—
1073C22⋊C4—31no—
1074C22⋊C4—31no—
1075C22⋊C4—31no—
1076C22⋊C4—31no—
1077C22⋊C4—31no—
1078C22⋊C4—91no—
1079C22⋊C4—91no—
1080C22⋊C4—91no—
1081C22⋊C4—91no—
1082C22⋊C4—91no—
1083C42—91no—
1084C42—91no—
1085C22×C3—22no—
1086C22×C3—22no—
1087C22×C3—21no—
1088C22×C3—21no—
1089C22×C3—21no—
1090C22×C3—21no—
1091C22×C3—21no—
1092C22×C3—21no—
1093C22×C3—21no—
1094C22×C3—21no—
1095C22×C3—21no—
1096C22×C3—21no—
1097C22×C3—21no—
1098C22×C3—21no—
1099C22×C3—21no—
1100C22×C3—21no—
1101C22×C3—21no—
1102C22×C3—21no—
1103C22×C3—21no—
1104C22×C3—21no—
1105C22×C3—21no—
1106C22×C3—21no—
1107C22×C3—21no—
1108C22×C3—32no—
1109C22×C3—32no—
1110C22×C3—41no—
1111C22×C3—41no—
1112C22×C3—41no—
1113C22×C3—41no—
1114C22×C3—41no—
1115C22×C3—41no—
1116C22×C3—41no—
1117C22×C3—41no—
1118C22×C3—41no—
1119C22×C3—41no—
1120C22×C3—41no—
1121C22×C3—41no—
1122C22×C3—41no—
1123C22×C3—41no—
1124C22×C3—41no—
1125C22×C3—41no—
1126C22×C3—42no—
1127C22×C3—42no—
1128C22×C3—41no—
1129C22×C3—62no—
1130C22×C3—62no—
1131C22×C3—61no—
1132C22×C3—61no—
1133C22×C3—61no—
1134C22×C3—61no—
1135C22×C3—61no—
1136C22×C3—61no—
1137C22×C3—61no—
1138C22×C3—61no—
1139C22×C3—61no—
1140C22×C3—61no—
1141C22×C3—61no—
1142C22×C3—61no—
1143C22×C3—61no—
1144C22×C3—61no—
1145C22×C3—61no—
1146C22×C3—61no—
1147C22×C3—81no—
1148C22×C3—81no—
1149C22×C3—81no—
1150C22×C3—81no—
1151C22×C3—121no—
1152C22×C3—121no—
1153C22×C3—121no—
1154C22×C3—121no—
1155C22×C3—121no—
1156C22×C3—121no—
1157C22×C3—121no—
1158C22×C3—124no—
1159C22×C3—124no—
1160C22×C3—128no—
1161C22×C3—181no—
1162C22×C3—181no—
1163C22×C3—181no—
1164C22×C3—181no—
1165C22×C3—181no—
1166C22×C3—181no—
1167C22×C3—364no—
1168C22×C3C22×D3211yescharacteristic
1169C22×C3C23×C3×D311yescharacteristic
1170C22×C3C23×C3×D311yescharacteristic
1171C2×D3—21no—
1172C2×D3—21no—
1173C2×D3—21no—
1174C2×D3—21no—
1175C2×D3—21no—
1176C2×D3—21no—
1177C2×D3—21no—
1178C2×D3—21no—
1179C2×D3—44no—
1180C2×D3—61no—
1181C2×D3—61no—
1182C2×D3—61no—
1183C2×D3—61no—
1184C2×D3—61no—
1185C2×D3—61no—
1186C2×D3—61no—
1187C2×D3—61no—
1188C2×D3—61no—
1189C2×D3—61no—
1190C2×D3—61no—
1191C2×D3—61no—
1192C2×D3—121no—
1193C2×D3—121no—
1194C2×D3—121no—
1195C2×D3—121no—
1196C2×D3—121no—
1197C2×D3—121no—
1198C2×D3—124no—
1199C2×D3—124no—
1200C2×D3C3×D3×D412yes—
1201C3×C4—22no—
1202C3×C4—21no—
1203C3×C4—21no—
1204C3×C4—21no—
1205C3×C4—32no—
1206C3×C4—32no—
1207C3×C4—41no—
1208C3×C4—41no—
1209C3×C4—42no—
1210C3×C4—62no—
1211C3×C4—61no—
1212C3×C4—61no—
1213C3×C4—61no—
1214C3×C4—61no—
1215C3×C4—61no—
1216C3×C4—61no—
1217C3×C4—61no—
1218C3×C4—61no—
1219C3×C4—92no—
1220C3×C4—121no—
1221C3×C4—121no—
1222C3×C4—121no—
1223C3×C4—121no—
1224C3×C4—181no—
1225Dic3—21no—
1226Dic3—21no—
1227Dic3—21no—
1228Dic3—21no—
1229Dic3—32no—
1230Dic3—32no—
1231Dic3—62no—
1232Dic3—62no—
1233Dic3—61no—
1234Dic3—61no—
1235Dic3C3×D3×D412yes—
1236C32—21no—
1237C32—21no—
1238C32—21no—
1239C32—41no—
1240C32#559211yescharacteristic, complemented
1241C32#560711yescharacteristic, complemented
1242C32C3×#53511yescharacteristic, complemented
1243C23—31no—
1244C23—31no—
1245C23—31no—
1246C23—62no—
1247C23—91no—
1248C23—91no—
1249C23—121no—
1250C23—121no—
1251C23—182no—
1252C23—361no—
1253C23—361no—
1254C23C2×C3×D3211yescharacteristic
1255C23C2×C3×D3211yescharacteristic
1256Q8—182no—
1257D4—41no—
1258D4—62no—
1259D4—62no—
1260D4—121no—
1261D4—121no—
1262D4—182no—
1263D4—182no—
1264D4—182no—
1265D4—182no—
1266D4—182no—
1267D4—361no—
1268D4—361no—
1269D4—361no—
1270D4—361no—
1271D4—361no—
1272C2×C4—31no—
1273C2×C4—31no—
1274C2×C4—31no—
1275C2×C4—31no—
1276C2×C4—31no—
1277C2×C4—62no—
1278C2×C4—94no—
1279C2×C4—91no—
1280C2×C4—91no—
1281C2×C4—182no—
1282C2×C4C2×C3×D3211yescharacteristic
1283C2×C3—21no—
1284C2×C3—21no—
1285C2×C3—21no—
1286C2×C3—21no—
1287C2×C3—21no—
1288C2×C3—21no—
1289C2×C3—21no—
1290C2×C3—21no—
1291C2×C3—21no—
1292C2×C3—42no—
1293C2×C3—42no—
1294C2×C3—41no—
1295C2×C3—41no—
1296C2×C3—41no—
1297C2×C3—41no—
1298C2×C3—41no—
1299C2×C3—41no—
1300C2×C3—41no—
1301C2×C3—41no—
1302C2×C3—41no—
1303C2×C3—62no—
1304C2×C3—62no—
1305C2×C3—81no—
1306C2×C3—81no—
1307C2×C3—81no—
1308C2×C3—81no—
1309C2×C3—82no—
1310C2×C3—82no—
1311C2×C3—122no—
1312C2×C3—122no—
1313C2×C3—121no—
1314C2×C3—121no—
1315C2×C3—121no—
1316C2×C3—121no—
1317C2×C3—241no—
1318C2×C3—361no—
1319C2×C3—361no—
1320C2×C3D32×D411yescharacteristic
1321C2×C3#6431411yescharacteristic
1322C2×C3#6433011yescharacteristic
1323C2×C3C2×C3×D3×D411yescharacteristic
1324C2×C3C2×C3×D3×D411yescharacteristic
1325C2×C3C3×#100411yescharacteristic
1326C2×C3C3×#100411yescharacteristic
1327C2×C3C3×#100411yescharacteristic
1328C2×C3C3×#100911yescharacteristic
1329D3—22no—
1330D3—41no—
1331D3—41no—
1332D3—121no—
1333D3—121no—
1334D3—121no—
1335D3—121no—
1336D3—241no—
1337D3—241no—
1338C22—21no—
1339C22—21no—
1340C22—21no—
1341C22—21no—
1342C22—21no—
1343C22—21no—
1344C22—32no—
1345C22—61no—
1346C22—61no—
1347C22—61no—
1348C22—61no—
1349C22—61no—
1350C22—61no—
1351C22—61no—
1352C22—61no—
1353C22—124no—
1354C22—181no—
1355C22—181no—
1356C22—181no—
1357C22—181no—
1358C22—181no—
1359C22—181no—
1360C22—364no—
1361C22C22×C3×D3211yescharacteristic
1362C4—21no—
1363C4—32no—
1364C4—61no—
1365C4—61no—
1366C4—61no—
1367C4—61no—
1368C4—92no—
1369C4—181no—
1370C3—21no—
1371C3—21no—
1372C3—21no—
1373C3—41no—
1374C3#1059528511yescharacteristic, direct product factor
1375C3C3×#559211yescharacteristic, complemented
1376C3C3×#560711yescharacteristic, complemented
1377C2—41no—
1378C2—41no—
1379C2—62no—
1380C2—121no—
1381C2—121no—
1382C2—361no—
1383C2—361no—
1384C2C3×D32×D411yescharacteristic
1385C2C3×#6431411yescharacteristic
1386C2C3×#6433011yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C3×#535
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×D3×#67C2semidirect
2. C2×C3×#3804C2semidirect
3. C3×#64149C2semidirect
4. C32×#939C2semidirect
5. C32×#937C2semidirect
6. C3×#63983C2semidirect
7. C3×#63979C2semidirect
8. C3×#63978C2semidirect
9. C3×#63977C2semidirect
10. C3×#63958C2semidirect
11. C3×#63953C2semidirect
12. C3×#63923C2semidirect
13. C3×#63915C2semidirect
14. C3×#63910C2semidirect
15. C3×#63878C2semidirect
18. #10595285C3direct (N × H)
21. C2×C33×D4C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×#638C22semidirect
25. C2×C3×#638C22semidirect
26. C2×C3×C4⋊(C3⋊D3)C22semidirect
29. C2×C32×#67C22semidirect
30. C2×C32×#67C22semidirect
31. C22×C32×Dic3C22semidirect
33. C2×C3×#627C22semidirect
36. C2×C3×#626C22semidirect
37. C2×C3×#626C22semidirect
39. C2×C3×#624C22semidirect
42. C3×C4×C3⋊Dic3C22semidirect
43. C32×#217C22semidirect
44. C32×#217C22semidirect
46. C32×(C2×D3)⋊C4C22semidirect
47. C32×(C2×D3)⋊C4C22semidirect
48. C32×Dic3⋊C4C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
50. C3×#3722C22semidirect
51. C3×#3722C22semidirect
53. C3×(C2×D3)⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C2×D3×#67C2×C3semidirect
61. C2×#3804C2×C3semidirect
64. #64149C2×C3semidirect
73. C3×#939D3semidirect
74. C3×#939C2×C3semidirect
79. C3×#937D3semidirect
80. C3×#937C2×C3semidirect
94. #63983C2×C3semidirect
95. #63979C2×C3semidirect
96. #63978C2×C3semidirect
97. #63977C2×C3semidirect
98. #63958C2×C3semidirect
99. #63953C2×C3semidirect
100. #63923C2×C3semidirect
101. #63915C2×C3semidirect
102. #63910C2×C3semidirect
103. #63878C2×C3semidirect
143. C3×D3×Dic3D4semidirect
162. C2×C32×D4C2×D3semidirect
163. C2×C32×D4C2×D3semidirect
164. C2×C32×D4C22×C3semidirect
167. C2×#638C22×C3semidirect
168. C2×#638C22×C3semidirect
169. C2×#638C22×C3semidirect
170. C2×C4⋊(C3⋊D3)C22×C3semidirect
196. C2×C3×#67C2×D3semidirect
197. C2×C3×#67C2×D3semidirect
200. C2×C3×#67C22×C3semidirect
201. C2×C3×#67C22×C3semidirect
204. C22×C3×Dic3C2×D3semidirect
205. C22×C3×Dic3C22×C3semidirect
222. C2×#627C22×C3semidirect
225. C2×#626C22×C3semidirect
226. C2×#626C22×C3semidirect
228. C2×#624C22×C3semidirect
237. C4×C3⋊Dic3C22×C3semidirect
243. C3×#217C2×D3semidirect
244. C3×#217C2×D3semidirect
245. C3×#217C22×C3semidirect
246. C3×#217C22×C3semidirect
258. C3×(C2×D3)⋊C4C2×D3semidirect
259. C3×(C2×D3)⋊C4C2×D3semidirect
261. C3×(C2×D3)⋊C4C22×C3semidirect
262. C3×(C2×D3)⋊C4C22×C3semidirect
266. C3×Dic3⋊C4C2×D3semidirect
267. C3×Dic3⋊C4C22×C3semidirect
273. Dic3⋊Dic3C22×C3semidirect
274. #3722C22×C3semidirect
275. #3722C22×C3semidirect
277. (C2×D3)⋊Dic3C22×C3semidirect
278. (C2×D3)⋊Dic3C22×C3semidirect
279. Dic32C22×C3semidirect
342. #939C3×D3semidirect
346. #937C3×D3semidirect
520. D3×Dic3C3×D4semidirect
568. C2×C3×D4D32semidirect
569. C2×C3×D4C2×C3×D3semidirect
570. C2×C3×D4C2×C3×D3semidirect
597. C2×#67C2×C3×D3semidirect
598. C2×#67C2×C3×D3semidirect
600. C22×Dic3C2×C3×D3semidirect
645. #217C2×C3×D3semidirect
646. #217C2×C3×D3semidirect
655. (C2×D3)⋊C4C2×C3×D3semidirect
656. (C2×D3)⋊C4C2×C3×D3semidirect
659. Dic3⋊C4C2×C3×D3semidirect
831. C33#535semidirect
1067. C2×D4C3×D32semidirect
1240. C32#5592semidirect
1241. C32#5607semidirect
1242. C32C3×#535semidirect
1374. C3#10595285direct (N × H)
1375. C3C3×#5592semidirect
1376. C3C3×#5607semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×#672
C2×C3×#38042
C3×#641492
C32×#9392
C32×#9372
C3×#639832
C3×#639792
C3×#639782
C3×#639772
C3×#639582
C3×#639532
C3×#639232
C3×#639152
C3×#639102
C3×#638782
C3×#56073
C3×#55923
#105952853