Finite Group Databasebeta

← #11859110

Subgroups — #11859110

Order 1152.

939 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#3828C211yesmaximal, characteristic
2C3×#4926C211yesmaximal, characteristic, complemented
3C3×#4925C211yesmaximal, characteristic, complemented
4#10591153C212yesmaximal
5#10591062C212yesmaximal, complemented
6#10590340C211yesmaximal, characteristic, complemented
7#10590331C211yesmaximal, characteristic, complemented
8#10590321C212yesmaximal, complemented
9#10590298C212yesmaximal, complemented
10#10590260C211yesmaximal, characteristic, complemented
11#10590256C211yesmaximal, characteristic, complemented
12#79334—31nomaximal
13#79285—31nomaximal
14C2×#3828C2211yescharacteristic
15C2×C32×C42C2211yescharacteristic
16C4×#638C411yescharacteristic
17C4×#638C411yescharacteristic
18C4×#638C411yescharacteristic
19C4×#638C411yescharacteristic
20#64135C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C411yescharacteristic
22C4×C4⋊(C3⋊D3)C411yescharacteristic
23#64081C2211yescharacteristic
24#64081C2211yescharacteristic
25C42×C3⋊D3C2211yescharacteristic
26C42×C3⋊D3C2211yescharacteristic
27C4×#634C411yescharacteristic
28C4×#634C411yescharacteristic
29C2×#3712C2212yes—
30C2×#3710C2212yes—
31C3×#830C2212yes—
32C3×#830C2212yes—
33C3×C4⋊(C3⋊C8)C2211yescharacteristic
34C3×C4⋊(C3⋊C8)C2211yescharacteristic
35C3×C4⋊(C3⋊C8)C2211yescharacteristic
36C3×C4⋊(C3⋊C8)C2211yescharacteristic
37C3×#803C2212yes—
38C3×C4×C3⋊C8C2212yes—
39#63572C2212yes—
40#63572C2212yes—
41#63557C2212yes—
42#63557C2212yes—
43#63555C2212yes—
44#63553C2212yes—
45C4×#235—31no—
46C4×#235—31no—
47C4×#235—61no—
48C3×#432—31no—
49C3×#431—31no—
50#4926D311yescharacteristic, complemented
51#4925D311yescharacteristic, complemented
52#4837—31no—
53#4837—31no—
54#4835—31no—
55#4835—31no—
56#4833—31no—
57#4833—31no—
58D3×C4⋊C8—31no—
59D3×C4⋊C8—31no—
60#4727—32no—
61#4727—32no—
62#4720—32no—
63#4720—32no—
64#4709—32no—
65#4708—32no—
66#4690—32no—
67#4689—32no—
68C22×C32×C4C2×C411yescharacteristic
69C22×C32×C4C2×C411yescharacteristic
70C22×C32×C4C2311yescharacteristic
71C2×#638C2×C411yescharacteristic
72C2×#638C2×C411yescharacteristic
73#3828—22no—
74#3828—22no—
75C2×C4⋊(C3⋊D3)C2×C411yescharacteristic
76C2×C4×C3⋊D3C2×C411yescharacteristic
77C2×C4×C3⋊D3C2×C411yescharacteristic
78C2×C4×C3⋊D3C2×C411yescharacteristic
79C2×C4×C3⋊D3C2×C411yescharacteristic
80C2×C4×C3⋊D3C2311yescharacteristic
81C2×C4×C3⋊D3C2311yescharacteristic
82C2×#634C2×C411yescharacteristic
83C32×C42C2×C411yescharacteristic
84C32×C42C2×C411yescharacteristic
85C32×C42C2311yescharacteristic
86C32×C42C2311yescharacteristic
87#3757C2×C411yescharacteristic
88#3757C2×C411yescharacteristic
89#3752C2×C411yescharacteristic
90#3752C2×C411yescharacteristic
91#3752C2×C411yescharacteristic
92#3752C2×C411yescharacteristic
93C4⋊(C3⋊Dic3)C2×C411yescharacteristic
94C4⋊(C3⋊Dic3)C2×C411yescharacteristic
95#3750C2×C411yescharacteristic
96#3750C2×C411yescharacteristic
97#3750C2×C411yescharacteristic
98#3750C2×C411yescharacteristic
99C4×C3⋊Dic3C2×C411yescharacteristic
100C4×C3⋊Dic3C2×C411yescharacteristic
101C4×C3⋊Dic3C2×C411yescharacteristic
102C4×C3⋊Dic3C2×C411yescharacteristic
103C4×C3⋊Dic3C2311yescharacteristic
104C4×C3⋊Dic3C2311yescharacteristic
105C2×C3×C3⋊C8C2312yes—
106C2×C3×C3⋊C8C2312yes—
107C2×C3×C3⋊C8C2312yes—
108C2×C3×C3⋊C8C2312yes—
109#3712—24no—
110#3710—24no—
111#2925—91noSylow
112C2×#235—31no—
113C2×#235—31no—
114C2×#235—61no—
115C2×C3×C42—21no—
116C2×C3×C42C2×D311yescharacteristic
117C2×C3×C42C2×D311yescharacteristic
118C4×#67—31no—
119C4×#67—31no—
120C4×#67—31no—
121C4×#67—31no—
122C4×#67—31no—
123C4×#67—31no—
124C4×#67—31no—
125C4×#67—31no—
126C4×#67—61no—
127C4×#67—61no—
128C4×#67—61no—
129C4×#67—61no—
130#926—31no—
131#926—31no—
132#926—61no—
133C2×ΓL(1,𝔽25)—32no—
134C2×ΓL(1,𝔽25)—32no—
135C2×D3×C8—32no—
136C2×D3×C8—32no—
137C4×D12—31no—
138C4×D12—31no—
139C4×D12—31no—
140C4×D12—31no—
141C4×D12—61no—
142C4×D12—61no—
143#872—31no—
144#872—31no—
145#872—31no—
146#872—31no—
147#872—61no—
148#872—61no—
149C42×D3—31no—
150C42×D3—31no—
151C42×D3—31no—
152C42×D3—31no—
153C42×D3—61no—
154C42×D3—61no—
155C4×Dic6—31no—
156C4×Dic6—31no—
157C4×Dic6—31no—
158C4×Dic6—31no—
159C4×Dic6—61no—
160C4×Dic6—61no—
161C3×C4⋊C8—31no—
162C3×C4⋊C8—31no—
163C3×C4⋊C8—31no—
164C3×C4⋊C8—31no—
165C3×C22⋊C8—32no—
166C3×C22⋊C8—32no—
167C3×#97—32no—
168C3×C4×C8—32no—
169#830C2×D312yes—
170#830C2×D312yes—
171(C2×D3)⋊C8—32no—
172(C2×D3)⋊C8—32no—
173(C2×D3)⋊C8—32no—
174(C2×D3)⋊C8—32no—
175#815—32no—
176#815—32no—
177Dic3⋊C8—32no—
178Dic3⋊C8—32no—
179Dic3⋊C8—32no—
180Dic3⋊C8—32no—
181C8×Dic3—32no—
182C8×Dic3—32no—
183C4⋊(C3⋊C8)C2×D311yescharacteristic
184C4⋊(C3⋊C8)C2×D311yescharacteristic
185C4⋊(C3⋊C8)C2×D311yescharacteristic
186C4⋊(C3⋊C8)C2×D311yescharacteristic
187#803C2×D312yes—
188C4×C3⋊C8C2×D312yes—
189C23×C32C22×C411yescharacteristic
190C22×C3⋊D3C22×C411yescharacteristic
191C22×C3⋊D3C22×C411yescharacteristic
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—22no—
195C2×C32×C4—41no—
196C2×C32×C4C22×C411yescharacteristic
197C2×C32×C4C22×C411yescharacteristic
198C2×C32×C4C22×C411yescharacteristic
199C2×C32×C4C22×C411yescharacteristic
200C2×C32×C4C22×C411yescharacteristic
201C2×C32×C4C2411yescharacteristic
202#638—22no—
203#638—22no—
204C2×C3⋊Dic3C22×C411yescharacteristic
205C2×C3⋊Dic3C22×C411yescharacteristic
206C2×C3⋊Dic3C22×C411yescharacteristic
207C2×C3⋊Dic3C22×C411yescharacteristic
208C2×C3⋊Dic3C22×C411yescharacteristic
209C2×C3⋊Dic3C22×C411yescharacteristic
210C4⋊(C3⋊D3)—22no—
211C4×C3⋊D3—21no—
212C4×C3⋊D3—21no—
213C4×C3⋊D3—22no—
214C4×C3⋊D3—22no—
215C4×C3⋊D3—41no—
216C4×C3⋊D3—41no—
217C4×C3⋊D3#4112yes—
218C4×C3⋊D3#4112yes—
219#634—22no—
220C3×C3⋊C8—22no—
221C3×C3⋊C8—22no—
222C3×C3⋊C8—22no—
223C3×C3⋊C8—22no—
224C4×#41—91no—
225#433—92no—
226#433—92no—
227#432—31no—
228#432—91no—
229#431—31no—
230#431—91no—
231#423—91no—
232C2×C4⋊C8—91no—
233#408—92no—
234#405—92no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4C4×D311yescharacteristic
239C22×C3×C4C4×D311yescharacteristic
240C22×C3×C4C4×D311yescharacteristic
241C22×C3×C4C4×D311yescharacteristic
242C22×C3×C4C22×D311yescharacteristic
243C22×C3×C4C22×D311yescharacteristic
244C2×#67—31no—
245C2×#67—31no—
246C2×#67—31no—
247C2×#67—31no—
248C2×#67—61no—
249C2×#67—61no—
250#235—62no—
251#235—62no—
252#235—62no—
253#235—62no—
254#235—64no—
255#235—64no—
256C2×D12—31no—
257C2×D12—31no—
258C2×D12—61no—
259C2×C4×D3—31no—
260C2×C4×D3—31no—
261C2×C4×D3—31no—
262C2×C4×D3—31no—
263C2×C4×D3—31no—
264C2×C4×D3—31no—
265C2×C4×D3—31no—
266C2×C4×D3—31no—
267C2×C4×D3—31no—
268C2×C4×D3—31no—
269C2×C4×D3—31no—
270C2×C4×D3—31no—
271C2×C4×D3—61no—
272C2×C4×D3—61no—
273C2×C4×D3—61no—
274C2×C4×D3—61no—
275C2×C4×D3—61no—
276C2×C4×D3—61no—
277C2×Dic6—31no—
278C2×Dic6—31no—
279C2×Dic6—61no—
280C2×C3×C8—32no—
281C2×C3×C8—32no—
282C2×C3×C8—32no—
283C2×C3×C8—32no—
284C3×C42—21no—
285C3×C42—21no—
286C3×C42—21no—
287C3×C42—21no—
288C3×C42C4×D311yescharacteristic
289C3×C42C4×D311yescharacteristic
290C3×C42C4×D311yescharacteristic
291C3×C42C4×D311yescharacteristic
292C3×C42C22×D311yescharacteristic
293C3×C42C22×D311yescharacteristic
294C3×C42C22×D311yescharacteristic
295C3×C42C22×D311yescharacteristic
296#217—31no—
297#217—31no—
298#217—31no—
299#217—31no—
300#217—61no—
301#217—61no—
302(C2×D3)⋊C4—31no—
303(C2×D3)⋊C4—31no—
304(C2×D3)⋊C4—31no—
305(C2×D3)⋊C4—31no—
306(C2×D3)⋊C4—31no—
307(C2×D3)⋊C4—31no—
308(C2×D3)⋊C4—31no—
309(C2×D3)⋊C4—31no—
310(C2×D3)⋊C4—61no—
311(C2×D3)⋊C4—61no—
312(C2×D3)⋊C4—61no—
313(C2×D3)⋊C4—61no—
314C4⋊Dic3—31no—
315C4⋊Dic3—31no—
316C4⋊Dic3—31no—
317C4⋊Dic3—31no—
318C4⋊Dic3—61no—
319C4⋊Dic3—61no—
320Dic3⋊C4—31no—
321Dic3⋊C4—31no—
322Dic3⋊C4—31no—
323Dic3⋊C4—31no—
324Dic3⋊C4—31no—
325Dic3⋊C4—31no—
326Dic3⋊C4—31no—
327Dic3⋊C4—31no—
328Dic3⋊C4—61no—
329Dic3⋊C4—61no—
330Dic3⋊C4—61no—
331Dic3⋊C4—61no—
332C4×Dic3—31no—
333C4×Dic3—31no—
334C4×Dic3—31no—
335C4×Dic3—31no—
336C4×Dic3—31no—
337C4×Dic3—31no—
338C4×Dic3—31no—
339C4×Dic3—31no—
340C4×Dic3—31no—
341C4×Dic3—31no—
342C4×Dic3—31no—
343C4×Dic3—31no—
344C4×Dic3—61no—
345C4×Dic3—61no—
346C4×Dic3—61no—
347C4×Dic3—61no—
348C4×Dic3—61no—
349C4×Dic3—61no—
350C2×C3⋊C8C22×D312yes—
351C2×C3⋊C8C22×D312yes—
352C2×C3⋊C8C22×D312yes—
353C2×C3⋊C8C22×D312yes—
354ΓL(1,𝔽25)—64no—
355ΓL(1,𝔽25)—64no—
356D3×C8—64no—
357D3×C8—64no—
358C22×C32—21no—
359C22×C32—21no—
360C22×C32—21no—
361C22×C32C23×C411yescharacteristic
362C2×C3⋊D3—21no—
363C2×C3⋊D3—21no—
364C2×C3⋊D3—21no—
365C2×C3⋊D3—21no—
366C2×C3⋊D3—21no—
367C2×C3⋊D3#11712yes—
368C32×C4—21no—
369C32×C4—21no—
370C32×C4—21no—
371C32×C4—21no—
372C32×C4#13112yes—
373C32×C4C2×#4111yescharacteristic
374C32×C4C2×#4111yescharacteristic
375C3⋊Dic3—21no—
376C3⋊Dic3—21no—
377C3⋊Dic3—21no—
378C3⋊Dic3—21no—
379C3⋊Dic3—21no—
380C3⋊Dic3#11712yes—
381C2×#41—91no—
382C2×M16—92no—
383C22×C8—92no—
384C4×Q8—91no—
385C4×Q8—91no—
386C4×D4—91no—
387C4×D4—91no—
388C4×D4—91no—
389C4×D4—91no—
390C4×D4—91no—
391C4×D4—91no—
392#117—91no—
393#117—91no—
394#117—91no—
395C2×C42—91no—
396C2×C42—91no—
397C2×C42D3211yescharacteristic
398C4⋊C8—31no—
399C4⋊C8—31no—
400C4⋊C8—31no—
401C4⋊C8—31no—
402C4⋊C8—92no—
403C4⋊C8—92no—
404C22⋊C8—32no—
405C22⋊C8—32no—
406C22⋊C8—92no—
407C22⋊C8—92no—
408#97—32no—
409#97—92no—
410C4×C8—32no—
411C4×C8—92no—
412C23×C3—21no—
413C23×C3C2×C4×D311yescharacteristic
414C23×C3C2×C4×D311yescharacteristic
415C22×D3—31no—
416C22×D3—31no—
417C22×D3—31no—
418C22×D3—31no—
419C22×D3—61no—
420C22×D3—61no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—42no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—42no—
439C2×C3×C4C2×C4×D311yescharacteristic
440C2×C3×C4C2×C4×D311yescharacteristic
441C2×C3×C4C2×C4×D311yescharacteristic
442C2×C3×C4C2×C4×D311yescharacteristic
443C2×C3×C4C2×C4×D311yescharacteristic
444C2×C3×C4C2×C4×D311yescharacteristic
445C2×C3×C4C2×C4×D311yescharacteristic
446C2×C3×C4C2×C4×D311yescharacteristic
447C2×C3×C4C2×C4×D311yescharacteristic
448C2×C3×C4C2×C4×D311yescharacteristic
449C2×C3×C4C23×D311yescharacteristic
450C2×C3×C4C23×D311yescharacteristic
451#67—62no—
452#67—62no—
453#67—62no—
454#67—62no—
455#67—64no—
456#67—64no—
457C2×Dic3—31no—
458C2×Dic3—31no—
459C2×Dic3—31no—
460C2×Dic3—31no—
461C2×Dic3—31no—
462C2×Dic3—31no—
463C2×Dic3—31no—
464C2×Dic3—31no—
465C2×Dic3—31no—
466C2×Dic3—31no—
467C2×Dic3—31no—
468C2×Dic3—31no—
469C2×Dic3—61no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—61no—
473C2×Dic3—61no—
474C2×Dic3—61no—
475D12—62no—
476D12—62no—
477D12—64no—
478C4×D3—32no—
479C4×D3—32no—
480C4×D3—32no—
481C4×D3—32no—
482C4×D3—62no—
483C4×D3—62no—
484C4×D3—62no—
485C4×D3—62no—
486C4×D3—62no—
487C4×D3—62no—
488C4×D3—62no—
489C4×D3—62no—
490C4×D3—61no—
491C4×D3—61no—
492C4×D3—61no—
493C4×D3—61no—
494C4×D3—122no—
495C4×D3—122no—
496C4×D3—121no—
497C4×D3—121no—
498C4×D3—121no—
499C4×D3—121no—
500C4×D3—122no—
501C4×D3—122no—
502Dic6—62no—
503Dic6—62no—
504Dic6—64no—
505C3×C8—62no—
506C3×C8—62no—
507C3×C8—62no—
508C3×C8—62no—
509C3⋊C8—22no—
510C3⋊C8—22no—
511C3⋊C8—22no—
512C3⋊C8—22no—
513C2×C32—41no—
514C2×C32C2×#11711yescharacteristic
515C2×C32C2×#13111yescharacteristic
516C2×C32#56811yescharacteristic
517C3⋊D3—22no—
518C3⋊D3—41no—
519#41—182no—
520#41—182no—
521C2×Q8—91no—
522C2×D4—91no—
523C2×D4—91no—
524C2×D4—91no—
525C22×C4—91no—
526C22×C4—91no—
527C22×C4—91no—
528C22×C4—91no—
529C22×C4—91no—
530C22×C4—91no—
531C22×C4#62411yescharacteristic
532C22×C4#62411yescharacteristic
533C22×C4C2×D3211yescharacteristic
534M16—184no—
535C2×C8—32no—
536C2×C8—32no—
537C2×C8—32no—
538C2×C8—32no—
539C2×C8—184no—
540C4⋊C4—91no—
541C4⋊C4—91no—
542C4⋊C4—91no—
543C4⋊C4—91no—
544C4⋊C4—91no—
545C4⋊C4—91no—
546C22⋊C4—91no—
547C22⋊C4—91no—
548C22⋊C4—91no—
549C22⋊C4—91no—
550C22⋊C4—91no—
551C22⋊C4—91no—
552C42—91no—
553C42—91no—
554C42—91no—
555C42—91no—
556C42—91no—
557C42—91no—
558C42#62411yescharacteristic
559C42#62411yescharacteristic
560C42C2×D3211yescharacteristic
561C42C2×D3211yescharacteristic
562C22×C3—22no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3C22×C4×D311yescharacteristic
573C22×C3C22×C4×D311yescharacteristic
574C2×D3—32no—
575C2×D3—32no—
576C2×D3—62no—
577C2×D3—61no—
578C2×D3—61no—
579C2×D3—61no—
580C2×D3—61no—
581C2×D3—62no—
582C2×D3—61no—
583C2×D3—61no—
584C2×D3—61no—
585C2×D3—61no—
586C2×D3—61no—
587C2×D3—61no—
588C2×D3—121no—
589C2×D3—121no—
590C2×D3—121no—
591C2×D3—121no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—22no—
605C3×C4—41no—
606C3×C4—41no—
607C3×C4#90112yes—
608C3×C4#90712yes—
609C3×C4D3×#4111yescharacteristic
610C3×C4D3×#4111yescharacteristic
611C3×C4D3×#4111yescharacteristic
612C3×C4D3×#4111yescharacteristic
613Dic3—32no—
614Dic3—32no—
615Dic3—62no—
616Dic3—62no—
617Dic3—61no—
618Dic3—61no—
619Dic3—61no—
620Dic3—61no—
621Dic3—61no—
622Dic3—61no—
623Dic3—61no—
624Dic3—61no—
625Dic3—61no—
626Dic3—61no—
627Dic3—121no—
628Dic3—121no—
629Dic3—121no—
630Dic3—121no—
631C32#292511yescharacteristic, complemented, Sylow
632C23—91no—
633C23—91no—
634C23C2×#62411yescharacteristic
635Q8—182no—
636D4—182no—
637D4—182no—
638D4—182no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—41no—
643C2×C4—91no—
644C2×C4—92no—
645C2×C4—92no—
646C2×C4—91no—
647C2×C4—91no—
648C2×C4—91no—
649C2×C4—91no—
650C2×C4—91no—
651C2×C4—181no—
652C2×C4—181no—
653C2×C4—182no—
654C2×C4—182no—
655C2×C4—361no—
656C2×C4—361no—
657C2×C4C2×#62411yescharacteristic
658C2×C4C2×#62411yescharacteristic
659C2×C4C2×#62411yescharacteristic
660C2×C4C2×#62411yescharacteristic
661C2×C4C2×#62411yescharacteristic
662C2×C4C22×D3211yescharacteristic
663C8—62no—
664C8—62no—
665C8—62no—
666C8—62no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—42no—
671C2×C3—41no—
672C2×C3—41no—
673C2×C3D3×#11711yescharacteristic
674C2×C3D3×#11711yescharacteristic
675C2×C3C2×#90111yescharacteristic
676C2×C3C2×#90711yescharacteristic
677C2×C3#574511yescharacteristic
678C2×C3#574511yescharacteristic
679D3—62no—
680D3—62no—
681D3—122no—
682D3—122no—
683D3—121no—
684D3—121no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—92no—
689C22—181no—
690C22—181no—
691C22—181no—
692C22—181no—
693C22—181no—
694C22C22×#62411yescharacteristic
695C4—21no—
696C4—21no—
697C4—21no—
698C4—21no—
699C4—92no—
700C4—181no—
701C4—181no—
702C4—181no—
703C4—181no—
704C4—181no—
705C4#6381712yes—
706C4#6430611yescharacteristic
707C4#6430611yescharacteristic
708C3—21no—
709C3#7928511yescharacteristic, complemented
710C3#7933411yescharacteristic, complemented
711C2—41no—
712C2—182no—
713C2—361no—
714C2C2×#6381711yescharacteristic
715C2#1059478011yescharacteristic
716C2#1059496911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC2×C32×C42C22
prime radicalC2×#3828C22
cosocleC2×C32×C4C24
hypercenterC2×C42D32
hypocenterC32#2925
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C3×#4926C2semidirect
3. C3×#4925C2semidirect
5. #10591062C2semidirect
6. #10590340C2semidirect
7. #10590331C2semidirect
8. #10590321C2semidirect
9. #10590298C2semidirect
10. #10590260C2semidirect
11. #10590256C2semidirect
50. #4926D3semidirect
51. #4925D3semidirect
631. C32#2925semidirect
709. C3#79285semidirect
710. C3#79334semidirect

Maximal subgroups

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

subgroupindex
C4×#38282
C3×#49262
C3×#49252
#105911532
#105910622
#105903402
#105903312
#105903212
#105902982
#105902602
#105902562
#793343
#792853