Finite Group Databasebeta

← C103×#22553 #39927828

Subgroups — C103×#22553 #39927828

Order 26368.

1212 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#431×C103C211yesmaximal, characteristic, complemented
2C2×#407×C103C211yesmaximal, characteristic
3C2×C4×C22⋊C4×C103C211yesmaximal, characteristic
4C103×#1924C212yesmaximal, complemented
5C103×#1923C212yesmaximal, complemented
6C103×#1851C212yesmaximal, complemented
7C103×#1817C211yesmaximal, characteristic, complemented
8C103×#1797C211yesmaximal, characteristic, complemented
9C103×#1779C211yesmaximal, characteristic
10C103×#1753C212yesmaximal, complemented
11C103×#1749C211yesmaximal, characteristic, complemented
12C24×C4×C103C2211yescharacteristic
13C22×M16×C103C2212yes—
14C22×C22⋊C4×C103C411yescharacteristic
15C22×C22⋊C4×C103C411yescharacteristic
16C22×C42×C103C2211yescharacteristic
17C22×C42×C103C2211yescharacteristic
18#431×C103—24no—
19C2×C4⋊C8×C103C2212yescomplemented
20C2×C4⋊C8×C103C2212yescomplemented
21#407×C103—24no—
22C2×C22⋊C8×C103C2211yescharacteristic
23C2×C22⋊C8×C103C2212yes—
24C2×C22⋊C8×C103C2211yescharacteristic
25C2×C22⋊C8×C103C2211yescharacteristic
26C2×C22⋊C8×C103C2212yes—
27C2×C22⋊C8×C103C2212yes—
28C2×C22⋊C8×C103C2211yescharacteristic
29C2×#97×C103C2212yescomplemented
30C2×C4×C8×C103C2212yescomplemented
31C4×C22⋊C4×C103C411yescharacteristic
32C4×C22⋊C4×C103C411yescharacteristic
33C4×C22⋊C4×C103C411yescharacteristic
34C4×C22⋊C4×C103C411yescharacteristic
35C4×C22⋊C4×C103C2211yescharacteristic
36C4×C22⋊C4×C103C2211yescharacteristic
37C4×C22⋊C4×C103C2211yescharacteristic
38C4×C22⋊C4×C103C2211yescharacteristic
39C2×#95×C103C411yescharacteristic
40C2×#95×C103C411yescharacteristic
41#336×C103C2212yescomplemented
42#336×C103C2212yescomplemented
43#336×C103C2212yescomplemented
44#336×C103C2212yescomplemented
45C25×C103C2×C411yescharacteristic
46C23×C4×C103—22no—
47C23×C4×C103—24no—
48C23×C4×C103—22no—
49C23×C4×C103—42no—
50C23×C4×C103C2×C411yescharacteristic
51C23×C4×C103C2×C411yescharacteristic
52C23×C4×C103C2×C411yescharacteristic
53C23×C4×C103C2×C411yescharacteristic
54C23×C4×C103C2×C411yescharacteristic
55C23×C4×C103C2×C411yescharacteristic
56C23×C4×C103C2×C411yescharacteristic
57C23×C4×C103C2311yescharacteristic
58C23×C4×C103C2311yescharacteristic
59C23×C4×C103C2311yescharacteristic
60C2×M16×C103—24no—
61C2×M16×C103—24no—
62C2×M16×C103—42no—
63C22×C8×C103C2312yes—
64C22×C8×C103C2312yes—
65C22×C8×C103C2312yes—
66C22×C8×C103C2312yes—
67C2×C22⋊C4×C103—24no—
68C2×C22⋊C4×C103—24no—
69C2×C22⋊C4×C103C2×C411yescharacteristic
70C2×C22⋊C4×C103C2×C411yescharacteristic
71C2×C22⋊C4×C103C2×C411yescharacteristic
72C2×C22⋊C4×C103C2×C411yescharacteristic
73C2×C22⋊C4×C103C2×C411yescharacteristic
74C2×C22⋊C4×C103C2×C411yescharacteristic
75C2×C22⋊C4×C103C2×C411yescharacteristic
76C2×C22⋊C4×C103C2×C411yescharacteristic
77C2×C42×C103—22no—
78C2×C42×C103—22no—
79C2×C42×C103—42no—
80C2×C42×C103C2×C411yescharacteristic
81C2×C42×C103C2×C411yescharacteristic
82C2×C42×C103C2×C411yescharacteristic
83C2×C42×C103C2×C411yescharacteristic
84C2×C42×C103C2311yescharacteristic
85C2×C42×C103C2311yescharacteristic
86C2×C42×C103C2311yescharacteristic
87C2×C42×C103C2311yescharacteristic
88C4⋊C8×C103—24no—
89C4⋊C8×C103—42no—
90C22⋊C8×C103—22no—
91C22⋊C8×C103—22no—
92C22⋊C8×C103—24no—
93C22⋊C8×C103—22no—
94C22⋊C8×C103—24no—
95C22⋊C8×C103—42no—
96C22⋊C8×C103D414yes—
97#97×C103—42no—
98C4×C8×C103—24no—
99#95×C103C2×C411yescharacteristic
100#95×C103C2×C411yescharacteristic
101#95×C103C2×C411yescharacteristic
102#95×C103C2×C411yescharacteristic
103#95×C103C2×C411yescharacteristic
104#95×C103C2×C411yescharacteristic
105#95×C103C2×C411yescharacteristic
106#95×C103C2×C411yescharacteristic
107C24×C103—22no—
108C24×C103—22no—
109C24×C103—22no—
110C24×C103—22no—
111C24×C103—22no—
112C24×C103—41no—
113C24×C103—41no—
114C24×C103C22×C411yescharacteristic
115C24×C103C22×C411yescharacteristic
116C24×C103C22×C411yescharacteristic
117C22×C4×C103—22no—
118C22×C4×C103—22no—
119C22×C4×C103—21no—
120C22×C4×C103—22no—
121C22×C4×C103—21no—
122C22×C4×C103—22no—
123C22×C4×C103—22no—
124C22×C4×C103—22no—
125C22×C4×C103—22no—
126C22×C4×C103—22no—
127C22×C4×C103—22no—
128C22×C4×C103—22no—
129C22×C4×C103—22no—
130C22×C4×C103—22no—
131C22×C4×C103—22no—
132C22×C4×C103—22no—
133C22×C4×C103—22no—
134C22×C4×C103—22no—
135C22×C4×C103—21no—
136C22×C4×C103—22no—
137C22×C4×C103—21no—
138C22×C4×C103—22no—
139C22×C4×C103—41no—
140C22×C4×C103—41no—
141C22×C4×C103—41no—
142C22×C4×C103—41no—
143C22×C4×C103—41no—
144C22×C4×C103—41no—
145C22×C4×C103—41no—
146C22×C4×C103—48no—
147C22×C4×C103—48no—
148C22×C4×C103M1614yescomplemented
149C22×C4×C103C22×C411yescharacteristic
150C22×C4×C103C22×C411yescharacteristic
151C22×C4×C103C22×C411yescharacteristic
152C22×C4×C103C22×C411yescharacteristic
153C22×C4×C103C22×C411yescharacteristic
154C22×C4×C103C22×C411yescharacteristic
155C22×C4×C103C22×C411yescharacteristic
156C22×C4×C103C22×C411yescharacteristic
157C22×C4×C103C22×C411yescharacteristic
158C22×C4×C103C22×C411yescharacteristic
159C22×C4×C103C22×C411yescharacteristic
160C22×C4×C103C2×D412yes—
161C22×C4×C103#4114yes—
162C22×C4×C103#4112yes—
163C22×C4×C103C2411yescharacteristic
164M16×C103—48no—
165C2×C8×C103—22no—
166C2×C8×C103—22no—
167C2×C8×C103—22no—
168C2×C8×C103—22no—
169C2×C8×C103—22no—
170C2×C8×C103—22no—
171C2×C8×C103—22no—
172C2×C8×C103—22no—
173C2×C8×C103—22no—
174C2×C8×C103—22no—
175C2×C8×C103—22no—
176C2×C8×C103C2×D414yes—
177C22⋊C4×C103—22no—
178C22⋊C4×C103—22no—
179C22⋊C4×C103—22no—
180C22⋊C4×C103—22no—
181C22⋊C4×C103—22no—
182C22⋊C4×C103—22no—
183C22⋊C4×C103—22no—
184C22⋊C4×C103M1614yescomplemented
185C42×C103—22no—
186C42×C103—22no—
187C42×C103—21no—
188C42×C103—21no—
189C42×C103—21no—
190C42×C103—21no—
191C42×C103—22no—
192C42×C103—22no—
193C42×C103—41no—
194C42×C103—41no—
195C23×C103—21no—
196C23×C103—21no—
197C23×C103—21no—
198C23×C103—21no—
199C23×C103—28no—
200C23×C103—21no—
201C23×C103—21no—
202C23×C103—21no—
203C23×C103—21no—
204C23×C103—21no—
205C23×C103—21no—
206C23×C103—21no—
207C23×C103—21no—
208C23×C103—21no—
209C23×C103—21no—
210C23×C103—21no—
211C23×C103—21no—
212C23×C103—44no—
213C23×C103—44no—
214C23×C103—44no—
215C23×C103—44no—
216C23×C103—44no—
217C23×C103—44no—
218C23×C103#11712yes—
219C23×C103C4×D412yes—
220C23×C103C2×M1612yes—
221C23×C103C2×M1612yes—
222C23×C103#13112yes—
223C23×C103C23×C411yescharacteristic
224C2×C4×C103—21no—
225C2×C4×C103—21no—
226C2×C4×C103—21no—
227C2×C4×C103—21no—
228C2×C4×C103—21no—
229C2×C4×C103—21no—
230C2×C4×C103—21no—
231C2×C4×C103—21no—
232C2×C4×C103—21no—
233C2×C4×C103—21no—
234C2×C4×C103—21no—
235C2×C4×C103—21no—
236C2×C4×C103—28no—
237C2×C4×C103—24no—
238C2×C4×C103—24no—
239C2×C4×C103—24no—
240C2×C4×C103—24no—
241C2×C4×C103—21no—
242C2×C4×C103—21no—
243C2×C4×C103—21no—
244C2×C4×C103—21no—
245C2×C4×C103—21no—
246C2×C4×C103—21no—
247C2×C4×C103—21no—
248C2×C4×C103—21no—
249C2×C4×C103—21no—
250C2×C4×C103—21no—
251C2×C4×C103—21no—
252C2×C4×C103—21no—
253C2×C4×C103—21no—
254C2×C4×C103—21no—
255C2×C4×C103—21no—
256C2×C4×C103—44no—
257C2×C4×C103—44no—
258C2×C4×C103—44no—
259C2×C4×C103—44no—
260C2×C4×C103—44no—
261C2×C4×C103—44no—
262C2×C4×C103—42no—
263C2×C4×C103—42no—
264C2×C4×C103#11712yes—
265C2×C4×C103C4×D412yes—
266C2×C4×C103C2×M1612yes—
267C2×C4×C103C2×M1612yes—
268C2×C4×C103C2×M1612yes—
269C2×C4×C103C2×M1612yes—
270C2×C4×C103C22×D411yescharacteristic
271C2×C4×C103C2×#4112yes—
272C2×C4×C103C2×#4111yescharacteristic
273C2×C4×C103H(5,𝔽2)12yes—
274C8×C103—24no—
275C8×C103—42no—
276C8×C103—42no—
277C8×C103—42no—
278C22×C103—22no—
279C22×C103—22no—
280C22×C103—22no—
281C22×C103—22no—
282C22×C103—22no—
283C22×C103—22no—
284C22×C103—22no—
285C22×C103—22no—
286C22×C103—22no—
287C22×C103—22no—
288C22×C103—22no—
289C22×C103—22no—
290C22×C103—416no—
291C22×C103—41no—
292C22×C103—41no—
293C22×C103—41no—
294C22×C103—41no—
295C22×C103—41no—
296C22×C103—41no—
297C22×C103—41no—
298C22×C103—41no—
299C22×C103#43514yes—
300C22×C103C2×#11711yescharacteristic
301C22×C103C2×C4×D411yescharacteristic
302C22×C103#51811yescharacteristic
303C22×C103C22×M1611yescharacteristic
304C22×C103C22×M1611yescharacteristic
305C22×C103C2×#13111yescharacteristic
306C22×C103#56811yescharacteristic
307C4×C103—22no—
308C4×C103—22no—
309C4×C103—22no—
310C4×C103—22no—
311C4×C103—22no—
312C4×C103—22no—
313C4×C103—41no—
314C4×C103—41no—
315C4×C103—41no—
316C4×C103—41no—
317C4×C103—41no—
318C4×C103#54612yes—
319C4×C103#55112yes—
320#22553C10311yesmaximal, characteristic, direct product factor, Sylow
321C2×C103—24no—
322C2×C103—42no—
323C2×C103—42no—
324C2×C103#234211yescharacteristic
325C2×C103#292011yescharacteristic
326C2×C103#292411yescharacteristic
327C2×C103C2×#43511yescharacteristic
328C2×C103D4×M1611yescharacteristic
329C2×C103#297411yescharacteristic
330C2×C103#297511yescharacteristic
331C2×#431C2×C10311yescharacteristic, complemented
332C2×#407C2×C10311yescharacteristic
333C2×C4×C22⋊C4C2×C10311yescharacteristic
334#1924C2×C10312yescomplemented
335#1923C2×C10312yescomplemented
336#1851C2×C10312yescomplemented
337#1817C2×C10311yescharacteristic, complemented
338#1797C2×C10311yescharacteristic, complemented
339#1779C2×C10311yescharacteristic
340#1753C2×C10312yescomplemented
341#1749C2×C10311yescharacteristic, complemented
342C103#2255311yescharacteristic, direct product factor, Sylow
343C24×C4C22×C10311yescharacteristic
344C22×M16C22×C10312yes—
345C22×C22⋊C4C4×C10311yescharacteristic
346C22×C22⋊C4C4×C10311yescharacteristic
347C22×C42C22×C10311yescharacteristic
348C22×C42C22×C10311yescharacteristic
349#431—24no—
350C2×C4⋊C8C22×C10312yescomplemented
351C2×C4⋊C8C22×C10312yescomplemented
352#407—24no—
353C2×C22⋊C8C22×C10311yescharacteristic
354C2×C22⋊C8C22×C10311yescharacteristic
355C2×C22⋊C8C22×C10311yescharacteristic
356C2×C22⋊C8C22×C10312yes—
357C2×C22⋊C8C22×C10312yes—
358C2×C22⋊C8C22×C10312yes—
359C2×C22⋊C8C22×C10311yescharacteristic
360C2×#97C22×C10312yescomplemented
361C2×C4×C8C22×C10312yescomplemented
362C4×C22⋊C4C4×C10311yescharacteristic
363C4×C22⋊C4C4×C10311yescharacteristic
364C4×C22⋊C4C4×C10311yescharacteristic
365C4×C22⋊C4C4×C10311yescharacteristic
366C4×C22⋊C4C22×C10311yescharacteristic
367C4×C22⋊C4C22×C10311yescharacteristic
368C4×C22⋊C4C22×C10311yescharacteristic
369C4×C22⋊C4C22×C10311yescharacteristic
370C2×#95C4×C10311yescharacteristic
371C2×#95C4×C10311yescharacteristic
372#336C22×C10312yescomplemented
373#336C22×C10312yescomplemented
374#336C22×C10312yescomplemented
375#336C22×C10312yescomplemented
376C25C2×C4×C10311yescharacteristic
377C23×C4—22no—
378C23×C4—24no—
379C23×C4—22no—
380C23×C4—42no—
381C23×C4C2×C4×C10311yescharacteristic
382C23×C4C2×C4×C10311yescharacteristic
383C23×C4C2×C4×C10311yescharacteristic
384C23×C4C2×C4×C10311yescharacteristic
385C23×C4C2×C4×C10311yescharacteristic
386C23×C4C2×C4×C10311yescharacteristic
387C23×C4C2×C4×C10311yescharacteristic
388C23×C4C23×C10311yescharacteristic
389C23×C4C23×C10311yescharacteristic
390C23×C4C23×C10311yescharacteristic
391C2×M16—24no—
392C2×M16—24no—
393C2×M16—42no—
394C22×C8C23×C10312yes—
395C22×C8C23×C10312yes—
396C22×C8C23×C10312yes—
397C22×C8C23×C10312yes—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4C2×C4×C10311yescharacteristic
401C2×C22⋊C4C2×C4×C10311yescharacteristic
402C2×C22⋊C4C2×C4×C10311yescharacteristic
403C2×C22⋊C4C2×C4×C10311yescharacteristic
404C2×C22⋊C4C2×C4×C10311yescharacteristic
405C2×C22⋊C4C2×C4×C10311yescharacteristic
406C2×C22⋊C4C2×C4×C10311yescharacteristic
407C2×C22⋊C4C2×C4×C10311yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—42no—
411C2×C42C2×C4×C10311yescharacteristic
412C2×C42C2×C4×C10311yescharacteristic
413C2×C42C2×C4×C10311yescharacteristic
414C2×C42C2×C4×C10311yescharacteristic
415C2×C42C23×C10311yescharacteristic
416C2×C42C23×C10311yescharacteristic
417C2×C42C23×C10311yescharacteristic
418C2×C42C23×C10311yescharacteristic
419C4⋊C8—24no—
420C4⋊C8—42no—
421C22⋊C8—22no—
422C22⋊C8—22no—
423C22⋊C8—24no—
424C22⋊C8—22no—
425C22⋊C8—24no—
426C22⋊C8—42no—
427C22⋊C8D4×C10314yes—
428#97—42no—
429C4×C8—24no—
430#95C2×C4×C10311yescharacteristic
431#95C2×C4×C10311yescharacteristic
432#95C2×C4×C10311yescharacteristic
433#95C2×C4×C10311yescharacteristic
434#95C2×C4×C10311yescharacteristic
435#95C2×C4×C10311yescharacteristic
436#95C2×C4×C10311yescharacteristic
437#95C2×C4×C10311yescharacteristic
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—41no—
444C24—41no—
445C24C22×C4×C10311yescharacteristic
446C24C22×C4×C10311yescharacteristic
447C24C22×C4×C10311yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4M16×C10314yescomplemented
480C22×C4C22×C4×C10311yescharacteristic
481C22×C4C22×C4×C10311yescharacteristic
482C22×C4C22×C4×C10311yescharacteristic
483C22×C4C22×C4×C10311yescharacteristic
484C22×C4C22×C4×C10311yescharacteristic
485C22×C4C22×C4×C10311yescharacteristic
486C22×C4C22×C4×C10311yescharacteristic
487C22×C4C22×C4×C10311yescharacteristic
488C22×C4C22×C4×C10311yescharacteristic
489C22×C4C22×C4×C10311yescharacteristic
490C22×C4C22×C4×C10311yescharacteristic
491C22×C4C2×D4×C10312yes—
492C22×C4#41×C10314yes—
493C22×C4#41×C10312yes—
494C22×C4C24×C10311yescharacteristic
495M16—48no—
496C2×C8—22no—
497C2×C8—22no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8C2×D4×C10314yes—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4M16×C10314yescomplemented
516C42—22no—
517C42—22no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—22no—
523C42—22no—
524C42—41no—
525C42—41no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—28no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23#117×C10312yes—
550C23C4×D4×C10312yes—
551C23C2×M16×C10312yes—
552C23C2×M16×C10312yes—
553C23#131×C10312yes—
554C23C23×C4×C10311yescharacteristic
555C2×C4—28no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4#117×C10312yes—
596C2×C4C4×D4×C10312yes—
597C2×C4C2×M16×C10312yes—
598C2×C4C2×M16×C10312yes—
599C2×C4C2×M16×C10312yes—
600C2×C4C2×M16×C10312yes—
601C2×C4C22×D4×C10311yescharacteristic
602C2×C4C2×#41×C10312yes—
603C2×C4C2×#41×C10311yescharacteristic
604C2×C4H(5,𝔽2)×C10312yes—
605C8—24no—
606C8—42no—
607C8—42no—
608C8—42no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—416no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22#435×C10314yes—
631C22C2×#117×C10311yescharacteristic
632C22C2×C4×D4×C10311yescharacteristic
633C22#518×C10311yescharacteristic
634C22C22×M16×C10311yescharacteristic
635C22C22×M16×C10311yescharacteristic
636C22C2×#131×C10311yescharacteristic
637C22#568×C10311yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—41no—
649C4#546×C10312yes—
650C4#551×C10312yes—
651C2—24no—
652C2—42no—
653C2—42no—
654C2C103×#234211yescharacteristic
655C2C103×#292011yescharacteristic
656C2C103×#292411yescharacteristic
657C2C2×#435×C10311yescharacteristic
658C2D4×M16×C10311yescharacteristic
659C2C103×#297411yescharacteristic
660C2C103×#297511yescharacteristic
subgroupG/H
centerC22×C4×C103C24
commutatorC23C23×C4×C103
Frattini, cosocleC22×C4C24×C103
socleC23×C103C23×C4
prime radicalC25×C103C2×C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#431×C103C2semidirect
4. C103×#1924C2semidirect
5. C103×#1923C2semidirect
6. C103×#1851C2semidirect
7. C103×#1817C2semidirect
8. C103×#1797C2semidirect
10. C103×#1753C2semidirect
11. C103×#1749C2semidirect
19. C2×C4⋊C8×C103C22semidirect
20. C2×C4⋊C8×C103C22semidirect
29. C2×#97×C103C22semidirect
30. C2×C4×C8×C103C22semidirect
41. #336×C103C22semidirect
42. #336×C103C22semidirect
43. #336×C103C22semidirect
44. #336×C103C22semidirect
148. C22×C4×C103M16semidirect
184. C22⋊C4×C103M16semidirect
320. #22553C103direct (N × H)
331. C2×#431C2×C103semidirect
334. #1924C2×C103semidirect
335. #1923C2×C103semidirect
336. #1851C2×C103semidirect
337. #1817C2×C103semidirect
338. #1797C2×C103semidirect
340. #1753C2×C103semidirect
341. #1749C2×C103semidirect
342. C103#22553direct (N × H)
350. C2×C4⋊C8C22×C103semidirect
351. C2×C4⋊C8C22×C103semidirect
360. C2×#97C22×C103semidirect
361. C2×C4×C8C22×C103semidirect
372. #336C22×C103semidirect
373. #336C22×C103semidirect
374. #336C22×C103semidirect
375. #336C22×C103semidirect
479. C22×C4M16×C103semidirect
515. C22⋊C4M16×C103semidirect

Maximal subgroups

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

subgroupindex
C2×#431×C1032
C2×#407×C1032
C2×C4×C22⋊C4×C1032
C103×#19242
C103×#19232
C103×#18512
C103×#18172
C103×#17972
C103×#17792
C103×#17532
C103×#17492
#22553103