Finite Group Databasebeta

← #11858846

Subgroups — #11858846

Order 1152.

1031 conjugacy classes of subgroups.

The subgroup lattice has 693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C42×D32C211yesmaximal, characteristic
2#10592536C211yesmaximal, characteristic, complemented
3C3×#4835C211yesmaximal, characteristic, complemented
4C3×#4833C211yesmaximal, characteristic, complemented
5#10590937C212yesmaximal
6#10590664C212yesmaximal, complemented
7#10590660C212yesmaximal, complemented
8#10590655C212yesmaximal, complemented
9#10590340C211yesmaximal, characteristic, complemented
10#10590263C211yesmaximal, characteristic, complemented
11#10590248C211yesmaximal, characteristic, complemented
12#79331—31nomaximal
13#79282—31nomaximal
14C2×C4×D32C411yescharacteristic
15C2×C4×D32C411yescharacteristic
16C2×C4×D32C2211yescharacteristic
17C2×#3743C2212yes—
18C42×C3⋊D3C2211yescharacteristic
19C3×C42×D3C2211yescharacteristic
20C3×C42×D3C2211yescharacteristic
21C4×#624C411yescharacteristic
22C4×#624C411yescharacteristic
23C4×#624C2211yescharacteristic
24C4×D3×Dic3C411yescharacteristic
25C4×D3×Dic3C411yescharacteristic
26C4×D3×Dic3C411yescharacteristic
27C4×D3×Dic3C411yescharacteristic
28C4×D3×Dic3C2211yescharacteristic
29C4×D3×Dic3C2211yescharacteristic
30C2×#3712C2212yes—
31C32×C4⋊C8C2211yescharacteristic, complemented
32#63641C2212yescomplemented
33C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
34C3×(C2×D3)⋊C8C2212yes—
35C3×(C2×D3)⋊C8C2212yes—
36C3×#815C2212yescomplemented
37C3×C8×Dic3C2212yescomplemented
38C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
39C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
40#63572C2212yescomplemented
41(C2×D3)⋊(C3⋊C8)C2212yes—
42(C2×D3)⋊(C3⋊C8)C2212yes—
43#63554C2212yescomplemented
44Dic3×C3⋊C8C2212yescomplemented
45C2×C42×D3—31no—
46C2×C42×D3—31no—
47C3×#432—31no—
48C3×#431—31no—
49#4926—31no—
50#4925—31no—
51#4837—31no—
52#4837—31no—
53#4837—31no—
54#4837—31no—
55#4837—61no—
56#4835—31no—
57#4835D311yescharacteristic, complemented
58#4833—31no—
59#4833D311yescharacteristic, complemented
60#4726—32no—
61#4726—32no—
62#4719—32no—
63#4718—32no—
64#4707—32no—
65#4705—32no—
66C4×ΓL(1,𝔽25)—32no—
67#4685—32no—
68C22×D32C2×C411yescharacteristic
69C2×C4×C3⋊D3C2×C411yescharacteristic
70C2×C4×C3⋊D3C2×C411yescharacteristic
71C2×C4×C3⋊D3C2311yescharacteristic
72C2×C3×C4×D3C2×C411yescharacteristic
73C2×C3×C4×D3C2×C411yescharacteristic
74C2×C3×C4×D3C2×C411yescharacteristic
75C2×C3×C4×D3C2×C411yescharacteristic
76C2×C3×C4×D3C2311yescharacteristic
77C2×C3×C4×D3C2311yescharacteristic
78C2×#624C2×C411yescharacteristic
79C2×#624C2×C411yescharacteristic
80C2×#624C2×C411yescharacteristic
81C2×D3×Dic3C2×C411yescharacteristic
82C2×D3×Dic3C2×C411yescharacteristic
83C2×D3×Dic3C2×C411yescharacteristic
84C2×D3×Dic3C2×C411yescharacteristic
85C2×D3×Dic3C2×C411yescharacteristic
86C2×D3×Dic3C2×C411yescharacteristic
87C4×D32—22no—
88C4×D32—22no—
89C4×D32—24no—
90C4×D32—24no—
91C2×C32×C8C2312yes—
92C32×C42C2311yescharacteristic
93C4×C3⋊Dic3C2×C411yescharacteristic
94C4×C3⋊Dic3C2×C411yescharacteristic
95C4×C3⋊Dic3C2311yescharacteristic
96C2×C3⋊(C3⋊C8)C2312yes—
97#3743—24no—
98C3×C4×Dic3C2×C411yescharacteristic
99C3×C4×Dic3C2×C411yescharacteristic
100C3×C4×Dic3C2×C411yescharacteristic
101C3×C4×Dic3C2×C411yescharacteristic
102C3×C4×Dic3C2311yescharacteristic
103C3×C4×Dic3C2311yescharacteristic
104C2×C3×C3⋊C8C2312yes—
105C2×C3×C3⋊C8C2312yes—
106Dic32C2×C411yescharacteristic
107Dic32C2×C411yescharacteristic
108Dic32C2×C411yescharacteristic
109Dic32C2×C411yescharacteristic
110Dic32C2×C411yescharacteristic
111Dic32C2×C411yescharacteristic
112#3712—24no—
113#2920—91noSylow
114C22×C4×D3—31no—
115C22×C4×D3—31no—
116C22×C4×D3—31no—
117C22×C4×D3—31no—
118C22×C4×D3—31no—
119C22×C4×D3—31no—
120C2×C3×C42—31no—
121C2×C3×C42—31no—
122C2×C4×Dic3—31no—
123C2×C4×Dic3—31no—
124C2×C4×Dic3—31no—
125C2×C4×Dic3—31no—
126C2×C4×Dic3—31no—
127C2×C4×Dic3—31no—
128C2×ΓL(1,𝔽25)—32no—
129C2×ΓL(1,𝔽25)—32no—
130C2×ΓL(1,𝔽25)—32no—
131C2×ΓL(1,𝔽25)—32no—
132C2×ΓL(1,𝔽25)—62no—
133C42×D3—31no—
134C42×D3—31no—
135C42×D3—31no—
136C42×D3—31no—
137C42×D3—31no—
138C42×D3—31no—
139C42×D3—31no—
140C42×D3—31no—
141C42×D3—31no—
142C42×D3—31no—
143C42×D3—31no—
144C42×D3—31no—
145C42×D3—31no—
146C42×D3—31no—
147C42×D3—61no—
148C42×D3C2×D311yescharacteristic
149C42×D3C2×D311yescharacteristic
150C3×C4⋊C8—21no—
151C3×C4⋊C8—31no—
152C3×C4⋊C8—31no—
153C3×C4⋊C8C2×D311yescharacteristic, complemented
154C3×C4⋊C8C2×D311yescharacteristic, complemented
155C3×C22⋊C8—32no—
156C3×C22⋊C8—32no—
157C3×#97—32no—
158C3×C4×C8—32no—
159#830—32no—
160#830—32no—
161(C2×D3)⋊C8—32no—
162(C2×D3)⋊C8—32no—
163(C2×D3)⋊C8C2×D312yes—
164(C2×D3)⋊C8C2×D312yes—
165#815—32no—
166#815C2×D312yescomplemented
167Dic3⋊C8—32no—
168Dic3⋊C8—32no—
169Dic3⋊C8—32no—
170Dic3⋊C8—32no—
171Dic3⋊C8—62no—
172C8×Dic3—32no—
173C8×Dic3C2×D312yescomplemented
174C4⋊(C3⋊C8)—31no—
175C4⋊(C3⋊C8)—31no—
176C4⋊(C3⋊C8)—61no—
177C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
178C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
179#803—32no—
180C4×C3⋊C8—32no—
181C22×C3⋊D3C22×C411yescharacteristic
182C22×C3×D3C22×C411yescharacteristic
183C22×C3×D3C22×C411yescharacteristic
184C2×D32—22no—
185C2×D32—22no—
186C2×D32—22no—
187C2×C32×C4C22×C411yescharacteristic
188C2×C32×C4C22×C411yescharacteristic
189C2×C32×C4C2411yescharacteristic
190C2×C3⋊Dic3C22×C411yescharacteristic
191C2×C3⋊Dic3C22×C411yescharacteristic
192C2×C3⋊Dic3C22×C411yescharacteristic
193C4×C3⋊D3—22no—
194C4×C3⋊D3—22no—
195C4×C3⋊D3#4112yes—
196C4×C3⋊D3#4112yes—
197C2×C3×Dic3C22×C411yescharacteristic
198C2×C3×Dic3C22×C411yescharacteristic
199C2×C3×Dic3C22×C411yescharacteristic
200C2×C3×Dic3C22×C411yescharacteristic
201C2×C3×Dic3C22×C411yescharacteristic
202C2×C3×Dic3C22×C411yescharacteristic
203C3×C4×D3—22no—
204C3×C4×D3—22no—
205C3×C4×D3—21no—
206C3×C4×D3—21no—
207C3×C4×D3—21no—
208C3×C4×D3—21no—
209C3×C4×D3—22no—
210C3×C4×D3M1614yescomplemented
211#624—22no—
212#624—22no—
213#624—22no—
214D3×Dic3—22no—
215D3×Dic3—22no—
216D3×Dic3—22no—
217D3×Dic3—22no—
218D3×Dic3—22no—
219D3×Dic3M1614yescomplemented
220C32×C8—22no—
221C3⋊(C3⋊C8)—22no—
222C3×C3⋊C8—22no—
223C3×C3⋊C8—22no—
224C22×C42—91no—
225#432—31no—
226#432—92no—
227#432—91no—
228#431—31no—
229#431—92no—
230#431—91no—
231#423—91no—
232#423—91no—
233#407—92no—
234C4×M16—92no—
235C23×D3—31no—
236C23×D3—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×Dic3—31no—
244C22×Dic3—31no—
245C22×Dic3—31no—
246C22×Dic3—31no—
247C22×Dic3—31no—
248C22×Dic3—31no—
249C2×C4×D3—31no—
250C2×C4×D3—31no—
251C2×C4×D3—31no—
252C2×C4×D3—31no—
253C2×C4×D3—31no—
254C2×C4×D3—31no—
255C2×C4×D3—31no—
256C2×C4×D3—31no—
257C2×C4×D3—31no—
258C2×C4×D3—31no—
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—61no—
268C2×C4×D3—61no—
269C2×C4×D3—61no—
270C2×C4×D3—64no—
271C2×C4×D3—62no—
272C2×C4×D3—62no—
273C2×C4×D3—62no—
274C2×C4×D3—62no—
275C2×C4×D3—64no—
276C2×C4×D3—64no—
277C2×C4×D3—64no—
278C2×C4×D3C4×D311yescharacteristic
279C2×C4×D3C4×D311yescharacteristic
280C2×C4×D3C4×D311yescharacteristic
281C2×C4×D3C4×D311yescharacteristic
282C2×C4×D3C22×D311yescharacteristic
283C2×C4×D3C22×D311yescharacteristic
284C2×C3×C8—22no—
285C2×C3×C8—32no—
286C2×C3×C8—32no—
287C2×C3×C8C22×D312yes—
288C2×C3×C8C22×D312yes—
289C3×C42—21no—
290C3×C42—31no—
291C3×C42—31no—
292C3×C42—31no—
293C3×C42—31no—
294C3×C42—31no—
295C3×C42—31no—
296C3×C42C22×D311yescharacteristic
297C3×C42C22×D311yescharacteristic
298C4×Dic3—31no—
299C4×Dic3—31no—
300C4×Dic3—31no—
301C4×Dic3—31no—
302C4×Dic3—31no—
303C4×Dic3—31no—
304C4×Dic3—31no—
305C4×Dic3—31no—
306C4×Dic3—31no—
307C4×Dic3—31no—
308C4×Dic3—31no—
309C4×Dic3—31no—
310C4×Dic3—31no—
311C4×Dic3—31no—
312C4×Dic3—31no—
313C4×Dic3—31no—
314C4×Dic3—31no—
315C4×Dic3—31no—
316C4×Dic3—61no—
317C4×Dic3—61no—
318C4×Dic3—61no—
319C4×Dic3C4×D311yescharacteristic
320C4×Dic3C4×D311yescharacteristic
321C4×Dic3C4×D311yescharacteristic
322C4×Dic3C4×D311yescharacteristic
323C4×Dic3C22×D311yescharacteristic
324C4×Dic3C22×D311yescharacteristic
325C2×C3⋊C8—32no—
326C2×C3⋊C8—32no—
327C2×C3⋊C8—62no—
328C2×C3⋊C8C22×D312yes—
329C2×C3⋊C8C22×D312yes—
330ΓL(1,𝔽25)—64no—
331ΓL(1,𝔽25)—64no—
332ΓL(1,𝔽25)—64no—
333ΓL(1,𝔽25)—64no—
334ΓL(1,𝔽25)—124no—
335C22×C32C23×C411yescharacteristic
336C2×C3⋊D3—21no—
337C2×C3⋊D3—21no—
338C2×C3⋊D3#11712yes—
339C2×C3×D3—21no—
340C2×C3×D3—21no—
341C2×C3×D3—21no—
342C2×C3×D3—21no—
343C2×C3×D3C2×M1612yes—
344C2×C3×D3C2×M1612yes—
345D32—28no—
346C32×C4—21no—
347C32×C4C2×M1612yes—
348C32×C4C2×#4111yescharacteristic
349C32×C4C2×#4111yescharacteristic
350C3⋊Dic3—21no—
351C3⋊Dic3#11712yes—
352C3⋊Dic3C2×M1612yes—
353C3×Dic3—21no—
354C3×Dic3—21no—
355C3×Dic3—21no—
356C3×Dic3—21no—
357C3×Dic3C2×M1612yes—
358C3×Dic3C2×M1612yes—
359C23×C4—91no—
360C23×C4—91no—
361C23×C4—91no—
362C2×M16—92no—
363C2×M16—92no—
364C2×C42—31no—
365C2×C42—31no—
366C2×C42—91no—
367C2×C42—91no—
368C2×C42—91no—
369C2×C42—91no—
370C2×C42—91no—
371C2×C42—91no—
372C2×C42—91no—
373C2×C42—91no—
374C2×C42—91no—
375C2×C42—91no—
376C4⋊C8—31no—
377C4⋊C8—31no—
378C4⋊C8—92no—
379C4⋊C8—92no—
380C4⋊C8—91no—
381C4⋊C8D3211yescharacteristic, complemented
382C22⋊C8—32no—
383C22⋊C8—32no—
384C22⋊C8—92no—
385C22⋊C8—92no—
386#97—32no—
387#97—92no—
388C4×C8—32no—
389C4×C8—92no—
390C23×C3—31no—
391C23×C3—31no—
392C22×D3—31no—
393C22×D3—31no—
394C22×D3—61no—
395C22×D3—62no—
396C22×D3—62no—
397C22×D3—62no—
398C22×D3—62no—
399C22×D3—62no—
400C22×D3—62no—
401C22×D3C2×C4×D311yescharacteristic
402C22×D3C2×C4×D311yescharacteristic
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—31no—
407C2×C3×C4—31no—
408C2×C3×C4—34no—
409C2×C3×C4—31no—
410C2×C3×C4—31no—
411C2×C3×C4—31no—
412C2×C3×C4—31no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—61no—
417C2×C3×C4—61no—
418C2×C3×C4—61no—
419C2×C3×C4—61no—
420C2×C3×C4C2×C4×D311yescharacteristic
421C2×C3×C4C2×C4×D311yescharacteristic
422C2×C3×C4C2×C4×D311yescharacteristic
423C2×C3×C4C2×C4×D311yescharacteristic
424C2×C3×C4C23×D311yescharacteristic
425C2×C3×C4C23×D311yescharacteristic
426C2×Dic3—31no—
427C2×Dic3—31no—
428C2×Dic3—31no—
429C2×Dic3—31no—
430C2×Dic3—34no—
431C2×Dic3—31no—
432C2×Dic3—31no—
433C2×Dic3—61no—
434C2×Dic3—61no—
435C2×Dic3—61no—
436C2×Dic3—62no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—62no—
441C2×Dic3C2×C4×D311yescharacteristic
442C2×Dic3C2×C4×D311yescharacteristic
443C2×Dic3C2×C4×D311yescharacteristic
444C2×Dic3C2×C4×D311yescharacteristic
445C2×Dic3C2×C4×D311yescharacteristic
446C2×Dic3C2×C4×D311yescharacteristic
447C4×D3—22no—
448C4×D3—22no—
449C4×D3—21no—
450C4×D3—21no—
451C4×D3—21no—
452C4×D3—21no—
453C4×D3—22no—
454C4×D3—34no—
455C4×D3—32no—
456C4×D3—32no—
457C4×D3—32no—
458C4×D3—32no—
459C4×D3—62no—
460C4×D3—62no—
461C4×D3—62no—
462C4×D3—62no—
463C4×D3—62no—
464C4×D3—62no—
465C4×D3—62no—
466C4×D3—62no—
467C4×D3—62no—
468C4×D3—62no—
469C4×D3—62no—
470C4×D3—62no—
471C4×D3—62no—
472C4×D3—62no—
473C4×D3—62no—
474C4×D3—62no—
475C4×D3—62no—
476C4×D3—122no—
477C4×D3—122no—
478C4×D3ΓL(1,𝔽25)14yescomplemented
479C3×C8—22no—
480C3×C8—22no—
481C3×C8—42no—
482C3×C8—62no—
483C3×C8—62no—
484C3⋊C8—22no—
485C3⋊C8—22no—
486C3⋊C8—62no—
487C3⋊C8—62no—
488C3⋊C8—122no—
489C2×C32C2×#11711yescharacteristic
490C2×C32C22×M1611yescharacteristic
491C2×C32C22×M1611yescharacteristic
492C3⋊D3—22no—
493C3×D3—22no—
494C3×D3—22no—
495C24—91no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—91no—
503C22×C4—91no—
504C22×C4—91no—
505C22×C4—91no—
506C22×C4—91no—
507C22×C4—91no—
508C22×C4—91no—
509C22×C4—91no—
510C22×C4—91no—
511C22×C4—91no—
512C22×C4—91no—
513C22×C4—91no—
514C22×C4—184no—
515C22×C4—184no—
516C22×C4—182no—
517C22×C4—182no—
518M16—184no—
519M16—184no—
520C2×C8—32no—
521C2×C8—32no—
522C2×C8—92no—
523C2×C8C2×D3212yes—
524C42—31no—
525C42—31no—
526C42—31no—
527C42—31no—
528C42—31no—
529C42—31no—
530C42—91no—
531C42—91no—
532C42—91no—
533C42—91no—
534C42—91no—
535C42—91no—
536C42—91no—
537C42—91no—
538C42—91no—
539C42C2×D3211yescharacteristic
540C22×C3—21no—
541C22×C3—32no—
542C22×C3—32no—
543C22×C3—61no—
544C22×C3—61no—
545C22×C3—61no—
546C22×C3—61no—
547C22×C3C22×C4×D311yescharacteristic
548C22×C3C22×C4×D311yescharacteristic
549C2×D3—21no—
550C2×D3—21no—
551C2×D3—21no—
552C2×D3—21no—
553C2×D3—32no—
554C2×D3—32no—
555C2×D3—62no—
556C2×D3—68no—
557C2×D3—68no—
558C2×D3—61no—
559C2×D3—61no—
560C2×D3—61no—
561C2×D3—61no—
562C2×D3—121no—
563C2×D3—121no—
564C2×D3C2×ΓL(1,𝔽25)12yes—
565C2×D3D3×M1612yes—
566C3×C4—21no—
567C3×C4—21no—
568C3×C4—22no—
569C3×C4—21no—
570C3×C4—21no—
571C3×C4—32no—
572C3×C4—32no—
573C3×C4—41no—
574C3×C4—61no—
575C3×C4—61no—
576C3×C4—61no—
577C3×C4—61no—
578C3×C4C2×ΓL(1,𝔽25)12yes—
579C3×C4D3×M1612yes—
580C3×C4D3×#4111yescharacteristic
581C3×C4D3×#4111yescharacteristic
582C3×C4D3×#4111yescharacteristic
583C3×C4D3×#4111yescharacteristic
584Dic3—21no—
585Dic3—21no—
586Dic3—21no—
587Dic3—21no—
588Dic3—32no—
589Dic3—32no—
590Dic3—32no—
591Dic3—32no—
592Dic3—62no—
593Dic3—62no—
594Dic3—61no—
595Dic3—61no—
596Dic3—121no—
597Dic3C2×ΓL(1,𝔽25)12yes—
598Dic3D3×M1612yes—
599C32#292011yescharacteristic, complemented, Sylow
600C23—31no—
601C23—31no—
602C23—91no—
603C23—182no—
604C23—182no—
605C23—182no—
606C2×C4—31no—
607C2×C4—31no—
608C2×C4—34no—
609C2×C4—31no—
610C2×C4—31no—
611C2×C4—31no—
612C2×C4—31no—
613C2×C4—62no—
614C2×C4—62no—
615C2×C4—62no—
616C2×C4—61no—
617C2×C4—61no—
618C2×C4—61no—
619C2×C4—61no—
620C2×C4—94no—
621C2×C4—91no—
622C2×C4—91no—
623C2×C4—92no—
624C2×C4—92no—
625C2×C4—91no—
626C2×C4—182no—
627C2×C4—182no—
628C2×C4—182no—
629C2×C4—182no—
630C2×C4—182no—
631C2×C4—182no—
632C2×C4—182no—
633C2×C4—182no—
634C2×C4—182no—
635C2×C4—182no—
636C2×C4C4×D3211yescharacteristic
637C2×C4C4×D3211yescharacteristic
638C2×C4C22×D3211yescharacteristic
639C8—22no—
640C8—62no—
641C8—62no—
642C8—182no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—62no—
647C2×C3—62no—
648C2×C3D3×#11711yescharacteristic
649C2×C3D3×#11711yescharacteristic
650C2×C3C22×ΓL(1,𝔽25)11yescharacteristic
651C2×C3C2×D3×M1611yescharacteristic
652C2×C3C2×D3×M1611yescharacteristic
653C2×C3C2×D3×M1611yescharacteristic
654D3—22no—
655D3—22no—
656D3—62no—
657D3—62no—
658D3—122no—
659C22—32no—
660C22—32no—
661C22—61no—
662C22—61no—
663C22—61no—
664C22—61no—
665C22—92no—
666C22—188no—
667C22—181no—
668C22—181no—
669C22C2×C4×D3211yescharacteristic
670C4—21no—
671C4—32no—
672C4—32no—
673C4—61no—
674C4—61no—
675C4—61no—
676C4—61no—
677C4—92no—
678C4—92no—
679C4—181no—
680C4D3×ΓL(1,𝔽25)12yes—
681C4#6431211yescharacteristic
682C4#6431911yescharacteristic
683C3—21no—
684C3#7928211yescharacteristic, complemented
685C3#7933111yescharacteristic, complemented
686C2—62no—
687C2—62no—
688C2—182no—
689C2#1059460211yescharacteristic
690C2C2×D3×ΓL(1,𝔽25)11yescharacteristic
691C2D32×M1611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC32×C4⋊C8C22
prime radicalC22×D32C2×C4
cosocleC2×C32×C4C24
hypercenterC4⋊C8D32
hypocenterC32#2920
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
2. #10592536C2semidirect
3. C3×#4835C2semidirect
4. C3×#4833C2semidirect
6. #10590664C2semidirect
7. #10590660C2semidirect
8. #10590655C2semidirect
9. #10590340C2semidirect
10. #10590263C2semidirect
11. #10590248C2semidirect
31. C32×C4⋊C8C22semidirect
32. #63641C22semidirect
33. C4⋊(C3⋊(C3⋊C8))C22semidirect
36. C3×#815C22semidirect
37. C3×C8×Dic3C22semidirect
38. C3×C4⋊(C3⋊C8)C22semidirect
39. C3×C4⋊(C3⋊C8)C22semidirect
40. #63572C22semidirect
43. #63554C22semidirect
44. Dic3×C3⋊C8C22semidirect
57. #4835D3semidirect
59. #4833D3semidirect
153. C3×C4⋊C8C2×D3semidirect
154. C3×C4⋊C8C2×D3semidirect
166. #815C2×D3semidirect
173. C8×Dic3C2×D3semidirect
177. C4⋊(C3⋊C8)C2×D3semidirect
178. C4⋊(C3⋊C8)C2×D3semidirect
210. C3×C4×D3M16semidirect
219. D3×Dic3M16semidirect
381. C4⋊C8D32semidirect
478. C4×D3ΓL(1,𝔽25)semidirect
599. C32#2920semidirect
684. C3#79282semidirect
685. C3#79331semidirect

Maximal subgroups

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

subgroupindex
C42×D322
#105925362
C3×#48352
C3×#48332
#105909372
#105906642
#105906602
#105906552
#105903402
#105902632
#105902482
#793313
#792823