Finite Group Databasebeta

← #13176438

Subgroups — #13176438

Order 1728.

1604 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723938C211yesmaximal, characteristic, complemented
2C3×#64107C211yesmaximal, characteristic, complemented
3C32×#898C211yesmaximal, characteristic, complemented
4#11723527C211yesmaximal, characteristic
5#11723523C211yesmaximal, characteristic, complemented
6#11723504C211yesmaximal, characteristic, complemented
7#11723497C211yesmaximal, characteristic, complemented
8#11723496C211yesmaximal, characteristic, complemented
9#11723480C211yesmaximal, characteristic, complemented
10#11723471C211yesmaximal, characteristic, complemented
11#11723470C211yesmaximal, characteristic, complemented
12#11723461C211yesmaximal, characteristic, complemented
13#11723454C211yesmaximal, characteristic, complemented
14#11723447C211yesmaximal, characteristic, complemented
15#11723422C211yesmaximal, characteristic, complemented
16#10596178—31nomaximal
17#10594491—34nomaximal
18C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
19C2×#6308C2211yescharacteristic
20C2×#6292C2211yescharacteristic
21C2×#6291C2211yescharacteristic
22C2×#6290C2211yescharacteristic
23C2×#6289C2211yescharacteristic
24C2×#6289C2211yescharacteristic
25C2×Dic3×C3⋊D3C2211yescharacteristic
26C2×D3×C3⋊Dic3C2211yescharacteristic
27C33×C4⋊C4C2211yescharacteristic
28#88859C2211yescharacteristic
29#88859C2211yescharacteristic
30C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
31C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
32C3×#3752C2211yescharacteristic
33C3×#3752C2211yescharacteristic
34C3×#3752C2211yescharacteristic
35C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
36C3×#3750C2211yescharacteristic
37C3×C4×C3⋊Dic3C2211yescharacteristic
38C32×(C2×D3)⋊C4C2211yescharacteristic
39C32×(C2×D3)⋊C4C2211yescharacteristic
40C32×(C2×D3)⋊C4C2211yescharacteristic
41C32×C4⋊Dic3C2211yescharacteristic
42C32×Dic3⋊C4C2211yescharacteristic
43C32×C4×Dic3C2211yescharacteristic
44#88807C2211yescharacteristic
45#88807C2211yescharacteristic
46#88806C2211yescharacteristic
47#88806C2211yescharacteristic
48#88806C2211yescharacteristic
49Dic3⋊(C3⋊Dic3)C2211yescharacteristic
50Dic3⋊(C3⋊Dic3)C2211yescharacteristic
51#88803C2211yescharacteristic
52(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
53C32×#126—31no—
54#64107D311yescharacteristic, complemented
55#64106—31no—
56#64106—34no—
57#64106—64no—
58#64105—31no—
59#64103—31no—
60C4⋊C4×C3⋊D3—31no—
61#64099—31no—
62#64095—31no—
63#64093—31no—
64#64092—31no—
65#64092—31no—
66#64090—31no—
67#64087—31no—
68C4×C4⋊(C3⋊D3)—31no—
69#64079—31no—
70C3×#898—34no—
71C3×#898D314yescomplemented
72#63912—34no—
73#63896—34no—
74#63896—34no—
75#63891—34no—
76#63891—34no—
77#63883—34no—
78#63880—34no—
79#63880—34no—
80#63869—34no—
81#63869—34no—
82#63854—34no—
83#63854—34no—
84C22×C3⋊(C3⋊D3)C2311yescharacteristic
85C22×C3×C3⋊D3C2311yescharacteristic
86C22×C32×D3C2311yescharacteristic
87C2×C33×C4C2311yescharacteristic
88C2×C33×C4C2311yescharacteristic
89C2×C33×C4C2311yescharacteristic
90C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
91C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
92C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
93C4×C3⋊(C3⋊D3)—41no—
94#6308—41no—
95C2×C3×C3⋊Dic3C2311yescharacteristic
96C2×C3×C3⋊Dic3C2311yescharacteristic
97C2×C3×C3⋊Dic3C2311yescharacteristic
98C2×C32×Dic3C2311yescharacteristic
99C2×C32×Dic3C2311yescharacteristic
100C2×C32×Dic3C2311yescharacteristic
101#6292—22no—
102#6291—22no—
103#6290—41no—
104#6289—22no—
105#6289—41no—
106Dic3×C3⋊D3—41no—
107D3×C3⋊Dic3—41no—
108#5707—94no—
109#5707—91no—
110C2×#638—31no—
111C2×#638—31no—
112C22×C3⋊Dic3—31no—
113C2×C4⋊(C3⋊D3)—31no—
114C2×C4×C3⋊D3—31no—
115C2×C4×C3⋊D3—31no—
116C2×C4×C3⋊D3—31no—
117C2×C4×C3⋊D3—34no—
118C2×C4×C3⋊D3—31no—
119C2×C4×C3⋊D3—64no—
120C2×#634—31no—
121C2×#634—34no—
122C2×#634—64no—
123C2×#626—34no—
124C2×#626—34no—
125C2×#625—34no—
126C2×#624—34no—
127C2×#624—34no—
128C2×D3×Dic3—34no—
129C2×D3×Dic3—34no—
130C32×C4⋊C4—24no—
131C32×C4⋊C4—31no—
132C32×C4⋊C4—31no—
133C32×C4⋊C4C2×D314yes—
134C32×C4⋊C4C2×D311yescharacteristic
135C32×C22⋊C4—31no—
136C32×C22⋊C4—31no—
137C32×C22⋊C4—31no—
138C32×C42—31no—
139#3757—31no—
140#3752—31no—
141#3752—31no—
142#3752—31no—
143#3752—34no—
144#3752—34no—
145#3752—64no—
146#3752—64no—
147#3752C2×D311yescharacteristic
148#3752C2×D311yescharacteristic
149#3752C2×D311yescharacteristic
150C4⋊(C3⋊Dic3)—31no—
151C4⋊(C3⋊Dic3)—31no—
152C4⋊(C3⋊Dic3)—34no—
153C4⋊(C3⋊Dic3)—34no—
154C4⋊(C3⋊Dic3)—31no—
155C4⋊(C3⋊Dic3)—31no—
156C4⋊(C3⋊Dic3)—64no—
157C4⋊(C3⋊Dic3)—64no—
158C4⋊(C3⋊Dic3)C2×D311yescharacteristic
159#3750—31no—
160#3750—31no—
161#3750—31no—
162#3750—31no—
163#3750—31no—
164#3750C2×D311yescharacteristic
165C4×C3⋊Dic3C2×D311yescharacteristic
166C3×(C2×D3)⋊C4—34no—
167C3×(C2×D3)⋊C4—34no—
168C3×(C2×D3)⋊C4—34no—
169C3×(C2×D3)⋊C4C2×D314yes—
170C3×(C2×D3)⋊C4C2×D314yes—
171C3×(C2×D3)⋊C4C2×D314yes—
172C3×C4⋊Dic3—34no—
173C3×C4⋊Dic3C2×D314yes—
174C3×Dic3⋊C4—34no—
175C3×Dic3⋊C4C2×D314yes—
176C3×C4×Dic3—34no—
177C3×C4×Dic3C2×D314yes—
178#3724—34no—
179#3724—34no—
180#3724—34no—
181Dic3⋊Dic3—34no—
182Dic3⋊Dic3—34no—
183Dic3⋊Dic3—34no—
184Dic3⋊Dic3—34no—
185(C2×D3)⋊Dic3—34no—
186(C2×D3)⋊Dic3—34no—
187C22×C33C2411yescharacteristic
188C2×C3⋊(C3⋊D3)—21no—
189C2×C3⋊(C3⋊D3)—21no—
190C2×C3⋊(C3⋊D3)#4112yes—
191C2×C3×C3⋊D3—21no—
192C2×C3×C3⋊D3—21no—
193C2×C3×C3⋊D3—21no—
194C2×C32×D3—21no—
195C2×C32×D3—21no—
196C2×C32×D3—21no—
197C33×C4—21no—
198C33×C4—21no—
199C33×C4—21no—
200C3⋊(C3⋊Dic3)—21no—
201C3⋊(C3⋊Dic3)—21no—
202C3⋊(C3⋊Dic3)—21no—
203C3×C3⋊Dic3—21no—
204C3×C3⋊Dic3—21no—
205C3×C3⋊Dic3—21no—
206C32×Dic3—21no—
207C32×Dic3—21no—
208C32×Dic3—21no—
209C3×#126—34no—
210C3×#126—91no—
211#898—34no—
212#898C3⋊D311yescharacteristic, complemented
213#897—94no—
214#897—91no—
215#897—184no—
216#896—94no—
217#896—91no—
218#894—94no—
219#894—91no—
220D3×C4⋊C4—94no—
221D3×C4⋊C4—91no—
222#890—94no—
223#890—91no—
224#886—94no—
225#886—91no—
226#884—94no—
227#884—91no—
228#883—94no—
229#883—94no—
230#883—91no—
231#883—91no—
232#67⋊C4—94no—
233#67⋊C4—91no—
234#878—94no—
235#878—91no—
236C4×D12—94no—
237C4×D12—91no—
238#870—94no—
239#870—91no—
240C23×C32—31no—
241C22×C3⋊D3—31no—
242C22×C3⋊D3—34no—
243C22×C3⋊D3—64no—
244C22×C3⋊D3C22×D311yescharacteristic
245C22×C3×D3—34no—
246C22×C3×D3C22×D314yes—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—31no—
251C2×C32×C4—31no—
252C2×C32×C4—31no—
253C2×C32×C4C22×D314yes—
254C2×C32×C4C22×D314yes—
255C2×C32×C4C22×D314yes—
256C2×C32×C4C22×D311yescharacteristic
257C2×C32×C4C22×D311yescharacteristic
258C2×C32×C4C22×D311yescharacteristic
259#638—62no—
260#638—121no—
261C2×C3⋊Dic3—31no—
262C2×C3⋊Dic3—31no—
263C2×C3⋊Dic3—31no—
264C2×C3⋊Dic3—34no—
265C2×C3⋊Dic3—34no—
266C2×C3⋊Dic3—34no—
267C2×C3⋊Dic3—64no—
268C2×C3⋊Dic3—64no—
269C2×C3⋊Dic3—64no—
270C2×C3⋊Dic3—121no—
271C2×C3⋊Dic3C22×D311yescharacteristic
272C2×C3⋊Dic3C22×D311yescharacteristic
273C2×C3⋊Dic3C22×D311yescharacteristic
274C4⋊(C3⋊D3)—62no—
275C4×C3⋊D3—62no—
276C4×C3⋊D3—121no—
277C4×C3⋊D3—121no—
278C4×C3⋊D3—124no—
279C4×C3⋊D3—121no—
280C4×C3⋊D3—128no—
281#634—121no—
282#634—124no—
283#634—128no—
284C2×C3×Dic3—34no—
285C2×C3×Dic3—34no—
286C2×C3×Dic3—34no—
287C2×C3×Dic3C22×D314yes—
288C2×C3×Dic3C22×D314yes—
289C2×C3×Dic3C22×D314yes—
290#626—68no—
291#626—68no—
292#625—124no—
293#624—68no—
294#624—124no—
295D3×Dic3—124no—
296D3×Dic3—124no—
297#539—271noSylow
298C2×C33C2×#4111yescharacteristic
299C2×C33H(5,𝔽2)11yescharacteristic
300C2×C332−1+411yescharacteristic
301C3⋊(C3⋊D3)—22no—
302C3×C3⋊D3—41no—
303C32×D3—41no—
304C2×#67—94no—
305C2×#67—94no—
306C2×#67—91no—
307C2×#67—91no—
308C22×Dic3—94no—
309C22×Dic3—91no—
310C2×D12—94no—
311C2×D12—91no—
312C2×C4×D3—94no—
313C2×C4×D3—91no—
314C2×C4×D3—94no—
315C2×C4×D3—94no—
316C2×C4×D3—91no—
317C2×C4×D3—94no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—184no—
321C2×Dic6—94no—
322C2×Dic6—91no—
323C2×Dic6—184no—
324C3×C4⋊C4—24no—
325C3×C4⋊C4—34no—
326C3×C4⋊C4—34no—
327C3×C4⋊C4—91no—
328C3×C4⋊C4—91no—
329C3×C4⋊C4D3214yes—
330C3×C4⋊C4C2×C3⋊D311yescharacteristic
331C3×C22⋊C4—34no—
332C3×C22⋊C4—34no—
333C3×C22⋊C4—34no—
334C3×C22⋊C4—91no—
335C3×C22⋊C4—91no—
336C3×C22⋊C4—91no—
337C3×C42—34no—
338C3×C42—91no—
339#217—94no—
340#217—91no—
341(C2×D3)⋊C4—34no—
342(C2×D3)⋊C4—34no—
343(C2×D3)⋊C4—34no—
344(C2×D3)⋊C4—94no—
345(C2×D3)⋊C4—91no—
346(C2×D3)⋊C4—94no—
347(C2×D3)⋊C4—94no—
348(C2×D3)⋊C4—91no—
349(C2×D3)⋊C4—91no—
350(C2×D3)⋊C4—184no—
351(C2×D3)⋊C4—184no—
352(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
353(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
354(C2×D3)⋊C4C2×C3⋊D311yescharacteristic
355C4⋊Dic3—34no—
356C4⋊Dic3—94no—
357C4⋊Dic3—94no—
358C4⋊Dic3—94no—
359C4⋊Dic3—94no—
360C4⋊Dic3—91no—
361C4⋊Dic3—91no—
362C4⋊Dic3—91no—
363C4⋊Dic3—91no—
364C4⋊Dic3—184no—
365C4⋊Dic3—184no—
366C4⋊Dic3C2×C3⋊D311yescharacteristic
367Dic3⋊C4—34no—
368Dic3⋊C4—94no—
369Dic3⋊C4—94no—
370Dic3⋊C4—94no—
371Dic3⋊C4—94no—
372Dic3⋊C4—94no—
373Dic3⋊C4—91no—
374Dic3⋊C4—91no—
375Dic3⋊C4—91no—
376Dic3⋊C4—91no—
377Dic3⋊C4—91no—
378Dic3⋊C4C2×C3⋊D311yescharacteristic
379C4×Dic3—34no—
380C4×Dic3C2×C3⋊D311yescharacteristic
381C22×C32—24no—
382C22×C32—61no—
383C22×C32—61no—
384C22×C32—61no—
385C22×C32C23×D314yes—
386C22×C32C23×D311yescharacteristic
387C2×C3⋊D3—21no—
388C2×C3⋊D3—21no—
389C2×C3⋊D3—21no—
390C2×C3⋊D3—32no—
391C2×C3⋊D3—38no—
392C2×C3⋊D3—68no—
393C2×C3⋊D3—61no—
394C2×C3⋊D3—61no—
395C2×C3⋊D3—64no—
396C2×C3⋊D3—64no—
397C2×C3⋊D3—124no—
398C2×C3⋊D3—124no—
399C2×C3×D3—24no—
400C2×C3×D3—24no—
401C2×C3×D3—24no—
402C2×C3×D3—64no—
403C2×C3×D3—64no—
404C2×C3×D3—64no—
405C32×C4—28no—
406C32×C4—24no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4—24no—
411C32×C4—24no—
412C32×C4—44no—
413C32×C4—44no—
414C32×C4—61no—
415C32×C4—61no—
416C32×C4—61no—
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3⋊Dic3—21no—
420C3⋊Dic3—61no—
421C3⋊Dic3—61no—
422C3⋊Dic3—61no—
423C3⋊Dic3—64no—
424C3⋊Dic3—64no—
425C3⋊Dic3—64no—
426C3⋊Dic3—124no—
427C3⋊Dic3—124no—
428C3⋊Dic3—124no—
429C3×Dic3—24no—
430C3×Dic3—24no—
431C3×Dic3—24no—
432C3×Dic3—64no—
433C3×Dic3—64no—
434C3×Dic3—64no—
435#126—31no—
436#126—91no—
437#125—271no—
438#125—271no—
439#123—271no—
440#123—271no—
441#123—271no—
442#123—271no—
443C22⋊Q8—271no—
444C22⋊Q8—271no—
445C22⋊Q8—271no—
446#121—271no—
447C4×D4—271no—
448C4×D4—271no—
449C2×C4⋊C4—271no—
450C33#53911yescharacteristic, complemented, Sylow
451C23×C3—34no—
452C23×C3—91no—
453C22×D3—34no—
454C22×D3—94no—
455C22×D3—91no—
456C22×D3—184no—
457C22×D3C22×C3⋊D311yescharacteristic
458C2×C3×C4—24no—
459C2×C3×C4—24no—
460C2×C3×C4—24no—
461C2×C3×C4—34no—
462C2×C3×C4—34no—
463C2×C3×C4—34no—
464C2×C3×C4—91no—
465C2×C3×C4—91no—
466C2×C3×C4—91no—
467C2×C3×C4C2×D3214yes—
468C2×C3×C4C2×D3214yes—
469C2×C3×C4C2×D3214yes—
470C2×C3×C4C22×C3⋊D311yescharacteristic
471C2×C3×C4C22×C3⋊D311yescharacteristic
472C2×C3×C4C22×C3⋊D311yescharacteristic
473#67—182no—
474#67—188no—
475#67—361no—
476#67—364no—
477C2×Dic3—34no—
478C2×Dic3—34no—
479C2×Dic3—34no—
480C2×Dic3—94no—
481C2×Dic3—94no—
482C2×Dic3—94no—
483C2×Dic3—91no—
484C2×Dic3—91no—
485C2×Dic3—91no—
486C2×Dic3—184no—
487C2×Dic3—184no—
488C2×Dic3—184no—
489C2×Dic3—361no—
490C2×Dic3—364no—
491C2×Dic3C22×C3⋊D311yescharacteristic
492C2×Dic3C22×C3⋊D311yescharacteristic
493C2×Dic3C22×C3⋊D311yescharacteristic
494D12—188no—
495D12—182no—
496C4×D3—182no—
497C4×D3—188no—
498C4×D3—361no—
499C4×D3—364no—
500C4×D3—364no—
501C4×D3—361no—
502C4×D3—364no—
503C4×D3—361no—
504C4×D3—368no—
505Dic6—364no—
506Dic6—361no—
507Dic6—368no—
508C2×C32—24no—
509C2×C32—24no—
510C2×C32—24no—
511C2×C32—121no—
512C2×C32D3×#4114yes—
513C2×C32D3×#4111yescharacteristic
514C2×C32#100914yes—
515C2×C32#100911yescharacteristic
516C2×C32#101014yes—
517C2×C32#101011yescharacteristic
518C3⋊D3—41no—
519C3⋊D3—62no—
520C3⋊D3—68no—
521C3⋊D3—128no—
522C3×D3—44no—
523C3×D3—124no—
524C2×Q8—271no—
525C2×D4—271no—
526C2×D4—271no—
527C2×D4—271no—
528C22×C4—271no—
529C22×C4—271no—
530C22×C4—271no—
531C22×C4—271no—
532C22×C4—271no—
533C4⋊C4—31no—
534C4⋊C4—31no—
535C4⋊C4—91no—
536C4⋊C4—91no—
537C4⋊C4—271no—
538C4⋊C4—271no—
539C4⋊C4—271no—
540C4⋊C4—271no—
541C4⋊C4—271no—
542C4⋊C4—271no—
543C4⋊C4—271no—
544C4⋊C4—271no—
545C4⋊C4—271no—
546C4⋊C4D3×C3⋊D311yescharacteristic
547C22⋊C4—31no—
548C22⋊C4—31no—
549C22⋊C4—31no—
550C22⋊C4—91no—
551C22⋊C4—91no—
552C22⋊C4—91no—
553C22⋊C4—271no—
554C22⋊C4—271no—
555C22⋊C4—271no—
556C22⋊C4—271no—
557C42—31no—
558C42—91no—
559C22×C3—24no—
560C22×C3—64no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—181no—
564C22×C3—181no—
565C22×C3—181no—
566C22×C3C22×D3214yes—
567C22×C3C23×C3⋊D311yescharacteristic
568C2×D3—21no—
569C2×D3—21no—
570C2×D3—21no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—98no—
575C2×D3—92no—
576C2×D3—188no—
577C2×D3—184no—
578C2×D3—184no—
579C2×D3—181no—
580C2×D3—181no—
581C2×D3—364no—
582C2×D3—364no—
583C3×C4—28no—
584C3×C4—24no—
585C3×C4—24no—
586C3×C4—24no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—44no—
591C3×C4—44no—
592C3×C4—64no—
593C3×C4—64no—
594C3×C4—64no—
595C3×C4—181no—
596C3×C4—181no—
597C3×C4—181no—
598Dic3—21no—
599Dic3—21no—
600Dic3—21no—
601Dic3—64no—
602Dic3—64no—
603Dic3—64no—
604Dic3—184no—
605Dic3—184no—
606Dic3—184no—
607Dic3—181no—
608Dic3—181no—
609Dic3—181no—
610Dic3—364no—
611Dic3—364no—
612Dic3—364no—
613C32—24no—
614C32#570714yescomplemented
615C32#570711yescharacteristic, complemented
616C23—31no—
617C23—91no—
618C23—271no—
619Q8—1081no—
620D4—542no—
621D4—542no—
622D4—1081no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—31no—
626C2×C4—91no—
627C2×C4—91no—
628C2×C4—91no—
629C2×C4—271no—
630C2×C4—271no—
631C2×C4—271no—
632C2×C4—542no—
633C2×C4—1081no—
634C2×C4—1081no—
635C2×C4—1081no—
636C2×C4—1081no—
637C2×C4C2×D3×C3⋊D311yescharacteristic
638C2×C4C2×D3×C3⋊D311yescharacteristic
639C2×C4C2×D3×C3⋊D311yescharacteristic
640C2×C3—24no—
641C2×C3—24no—
642C2×C3—24no—
643C2×C3—124no—
644C2×C3—361no—
645C2×C3#6430814yes—
646C2×C3#6430914yes—
647C2×C3#6431914yes—
648C2×C3#41×C3⋊D311yescharacteristic
649C2×C3#6436611yescharacteristic
650C2×C3#6436711yescharacteristic
651D3—41no—
652D3—124no—
653D3—182no—
654D3—188no—
655D3—368no—
656C22—61no—
657C22—61no—
658C22—61no—
659C22—181no—
660C22—181no—
661C22—181no—
662C22—272no—
663C22—541no—
664C22—541no—
665C22C22×D3×C3⋊D311yescharacteristic
666C4—21no—
667C4—21no—
668C4—21no—
669C4—61no—
670C4—61no—
671C4—61no—
672C4—181no—
673C4—181no—
674C4—181no—
675C4—541no—
676C4—541no—
677C4—541no—
678C3—24no—
679C3#1059449114yescomplemented
680C3#1059617811yescharacteristic, complemented
681C2—121no—
682C2—361no—
683C2—542no—
684C2#1172458111yescharacteristic
685C2#1172458211yescharacteristic
686C2#1172459611yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C4⋊C4C22
prime radical#11723527C2
hypercenterC4⋊C4D3×C3⋊D3
hypocenterC33#539
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #11723938C2semidirect
2. C3×#64107C2semidirect
3. C32×#898C2semidirect
5. #11723523C2semidirect
6. #11723504C2semidirect
7. #11723497C2semidirect
8. #11723496C2semidirect
9. #11723480C2semidirect
10. #11723471C2semidirect
11. #11723470C2semidirect
12. #11723461C2semidirect
13. #11723454C2semidirect
14. #11723447C2semidirect
15. #11723422C2semidirect
54. #64107D3semidirect
71. C3×#898D3semidirect
212. #898C3⋊D3semidirect
450. C33#539semidirect
614. C32#5707semidirect
615. C32#5707semidirect
679. C3#10594491semidirect
680. C3#10596178semidirect

Maximal subgroups

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

subgroupindex
#117239382
C3×#641072
C32×#8982
#117235272
#117235232
#117235042
#117234972
#117234962
#117234802
#117234712
#117234702
#117234612
#117234542
#117234472
#117234222
#105961783
#105944913