Finite Group Databasebeta

← C103×#26896 #39932171

Subgroups — C103×#26896 #39932171

Order 26368.

928 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#478×C103C211yesmaximal, characteristic, complemented
2C2×C4×SD16×C103C211yesmaximal, characteristic, complemented
3C103×#2453C211yesmaximal, characteristic, complemented
4C103×#2366C211yesmaximal, characteristic
5C103×#2055C211yesmaximal, characteristic, complemented
6C103×#2041C211yesmaximal, characteristic
7C103×#2025C211yesmaximal, characteristic, complemented
8C103×#2014C211yesmaximal, characteristic
9C103×#1934C211yesmaximal, characteristic, complemented
10C103×#1928C211yesmaximal, characteristic, complemented
11C103×#1919C211yesmaximal, characteristic, complemented
12C103×#1916C211yesmaximal, characteristic, complemented
13C103×#1880C211yesmaximal, characteristic, complemented
14C103×#1877C211yesmaximal, characteristic, complemented
15C103×#1862C211yesmaximal, characteristic, complemented
16C22×SD16×C103C2211yescharacteristic
17C22×SD16×C103C2211yescharacteristic
18C2×#127×C103C2211yescharacteristic
19C2×#125×C103C2211yescharacteristic
20C2×C4×Q8×C103C2211yescharacteristic
21C2×C4×D4×C103—21no—
22C2×C4×D4×C103C2211yescharacteristic
23C2×C4×D4×C103C2211yescharacteristic
24#478×C103—24no—
25C4×SD16×C103—24no—
26C2×#107×C103C2211yescharacteristic
27C2×#106×C103C2211yescharacteristic
28C2×C4⋊C8×C103C2211yescharacteristic
29C2×#103×C103C2211yescharacteristic
30C2×#103×C103C2211yescharacteristic
31C2×#102×C103C2211yescharacteristic
32C2×#102×C103C2211yescharacteristic
33C2×#102×C103C2211yescharacteristic
34C2×#102×C103C2211yescharacteristic
35C2×#102×C103C2211yescharacteristic
36C2×#102×C103C2211yescharacteristic
37C2×C4×C8×C103C2211yescharacteristic
38#400×C103—21no—
39#398×C103—21no—
40#391×C103C2211yescharacteristic
41#391×C103C2211yescharacteristic
42#390×C103—21no—
43#390×C103C2211yescharacteristic
44#390×C103C2211yescharacteristic
45#389×C103—21no—
46#389×C103C2211yescharacteristic
47#389×C103C2211yescharacteristic
48#387×C103—21no—
49#386×C103—21no—
50#386×C103—21no—
51C4×C4⋊C4×C103C2211yescharacteristic
52C4×C4⋊C4×C103C2211yescharacteristic
53#340×C103C2211yescharacteristic
54#340×C103C2211yescharacteristic
55#340×C103C2211yescharacteristic
56#340×C103C2211yescharacteristic
57#336×C103C2211yescharacteristic
58#336×C103C2211yescharacteristic
59#336×C103C2211yescharacteristic
60#336×C103C2211yescharacteristic
61C22×Q8×C103C2311yescharacteristic
62C22×D4×C103—21no—
63C22×D4×C103—21no—
64C22×D4×C103C2311yescharacteristic
65C22×D4×C103C2311yescharacteristic
66C23×C4×C103—21no—
67C23×C4×C103—21no—
68C2×SD16×C103—22no—
69C2×SD16×C103—22no—
70C2×SD16×C103—22no—
71C2×SD16×C103—22no—
72C2×SD16×C103—22no—
73C2×SD16×C103—41no—
74C22×C8×C103C2311yescharacteristic
75C22×C8×C103C2311yescharacteristic
76C22×C8×C103C2311yescharacteristic
77C22×C8×C103C2311yescharacteristic
78#127×C103—22no—
79#127×C103—22no—
80#125×C103—22no—
81#125×C103—41no—
82C4×Q8×C103—22no—
83C4×Q8×C103—41no—
84C4×D4×C103—22no—
85C4×D4×C103—22no—
86C4×D4×C103—41no—
87C4×D4×C103—41no—
88C4×D4×C103—44no—
89C2×C4⋊C4×C103—21no—
90C2×C4⋊C4×C103—21no—
91C2×C4⋊C4×C103—21no—
92C2×C4⋊C4×C103—21no—
93C2×C4⋊C4×C103—21no—
94C2×C4⋊C4×C103D411yescharacteristic
95C2×C4⋊C4×C103D411yescharacteristic
96C2×C4⋊C4×C103C2311yescharacteristic
97C2×C4⋊C4×C103C2311yescharacteristic
98C2×C4⋊C4×C103C2311yescharacteristic
99C2×C4⋊C4×C103C2311yescharacteristic
100C2×C4⋊C4×C103C2311yescharacteristic
101C2×C22⋊C4×C103—21no—
102C2×C22⋊C4×C103—21no—
103C2×C22⋊C4×C103—21no—
104C2×C22⋊C4×C103—21no—
105C2×C22⋊C4×C103—21no—
106C2×C22⋊C4×C103—21no—
107C2×C42×C103—21no—
108C2×C42×C103—21no—
109C2×C42×C103C2311yescharacteristic
110C2×C42×C103C2311yescharacteristic
111C2×C42×C103C2311yescharacteristic
112#107×C103—22no—
113#106×C103D414yescomplemented
114C4⋊C8×C103—22no—
115#103×C103—22no—
116#103×C103—22no—
117#102×C103—22no—
118#102×C103—22no—
119#102×C103—22no—
120#102×C103—22no—
121#102×C103—22no—
122#102×C103—41no—
123C4×C8×C103—22no—
124#95×C103—21no—
125#95×C103—21no—
126#95×C103—21no—
127#95×C103—21no—
128#95×C103—21no—
129#95×C103—21no—
130#95×C103—21no—
131#95×C103D411yescharacteristic
132#95×C103D411yescharacteristic
133C24×C103—21no—
134C24×C103—21no—
135C2×Q8×C103—21no—
136C2×Q8×C103—21no—
137C2×Q8×C103—21no—
138C2×Q8×C103—21no—
139C2×Q8×C103—21no—
140C2×Q8×C103#4112yes—
141C2×D4×C103—24no—
142C2×D4×C103—24no—
143C2×D4×C103—21no—
144C2×D4×C103—21no—
145C2×D4×C103—21no—
146C2×D4×C103—21no—
147C2×D4×C103—21no—
148C2×D4×C103—21no—
149C2×D4×C103—21no—
150C2×D4×C103—21no—
151C2×D4×C103—21no—
152C2×D4×C103—21no—
153C2×D4×C103—42no—
154C2×D4×C103—42no—
155C2×D4×C103—81no—
156C2×D4×C103—81no—
157C2×D4×C103#4112yes—
158C2×D4×C103#4112yes—
159C22×C4×C103—21no—
160C22×C4×C103—21no—
161C22×C4×C103—21no—
162C22×C4×C103—21no—
163C22×C4×C103—21no—
164C22×C4×C103—21no—
165C22×C4×C103—42no—
166C22×C4×C103—42no—
167C22×C4×C103—42no—
168C22×C4×C103—42no—
169C22×C4×C103—81no—
170C22×C4×C103—81no—
171C22×C4×C103C2×D411yescharacteristic
172C22×C4×C103C2×D411yescharacteristic
173C22×C4×C103C2×D411yescharacteristic
174C22×C4×C103C2×D411yescharacteristic
175C22×C4×C103C2×D411yescharacteristic
176C22×C4×C103C2×D411yescharacteristic
177C22×C4×C103C2411yescharacteristic
178SD16×C103—28no—
179SD16×C103—44no—
180C2×C8×C103—21no—
181C2×C8×C103—21no—
182C2×C8×C103—21no—
183C2×C8×C103—21no—
184C2×C8×C103—21no—
185C2×C8×C103—21no—
186C2×C8×C103—21no—
187C2×C8×C103—21no—
188C2×C8×C103—21no—
189C2×C8×C103—21no—
190C2×C8×C103—21no—
191C2×C8×C103C2×D412yes—
192C4⋊C4×C103—22no—
193C4⋊C4×C103—22no—
194C4⋊C4×C103—21no—
195C4⋊C4×C103—21no—
196C4⋊C4×C103—21no—
197C4⋊C4×C103—21no—
198C4⋊C4×C103—21no—
199C4⋊C4×C103—21no—
200C4⋊C4×C103—21no—
201C4⋊C4×C103—21no—
202C4⋊C4×C103—42no—
203C4⋊C4×C103—42no—
204C4⋊C4×C103—42no—
205C4⋊C4×C103—42no—
206C4⋊C4×C103—42no—
207C4⋊C4×C103C2×D412yes—
208C4⋊C4×C103C2×D412yes—
209C22⋊C4×C103—42no—
210C22⋊C4×C103—42no—
211C22⋊C4×C103—42no—
212C22⋊C4×C103—42no—
213C22⋊C4×C103—81no—
214C22⋊C4×C103—81no—
215C42×C103—21no—
216C42×C103—21no—
217C42×C103—21no—
218C42×C103—21no—
219C42×C103—21no—
220C42×C103—21no—
221C42×C103—42no—
222C42×C103—42no—
223C23×C103—22no—
224C23×C103—22no—
225C23×C103—41no—
226C23×C103—41no—
227C23×C103—41no—
228C23×C103—41no—
229C23×C103—41no—
230C23×C103—41no—
231C23×C103—41no—
232C23×C103—41no—
233C23×C103—41no—
234C23×C103—41no—
235C23×C103—41no—
236C23×C103—41no—
237C23×C103C22×D411yescharacteristic
238Q8×C103—22no—
239Q8×C103—22no—
240Q8×C103—41no—
241Q8×C103—41no—
242D4×C103—22no—
243D4×C103—22no—
244D4×C103—22no—
245D4×C103—22no—
246D4×C103—48no—
247D4×C103—41no—
248D4×C103—41no—
249D4×C103—41no—
250D4×C103—41no—
251D4×C103—84no—
252C2×C4×C103—21no—
253C2×C4×C103—21no—
254C2×C4×C103—21no—
255C2×C4×C103—21no—
256C2×C4×C103—21no—
257C2×C4×C103—21no—
258C2×C4×C103—21no—
259C2×C4×C103—21no—
260C2×C4×C103—22no—
261C2×C4×C103—22no—
262C2×C4×C103—22no—
263C2×C4×C103—21no—
264C2×C4×C103—21no—
265C2×C4×C103—21no—
266C2×C4×C103—21no—
267C2×C4×C103—21no—
268C2×C4×C103—21no—
269C2×C4×C103—21no—
270C2×C4×C103—21no—
271C2×C4×C103—41no—
272C2×C4×C103—41no—
273C2×C4×C103—41no—
274C2×C4×C103—41no—
275C2×C4×C103—41no—
276C2×C4×C103—41no—
277C2×C4×C103—41no—
278C2×C4×C103—41no—
279C2×C4×C103—41no—
280C2×C4×C103—41no—
281C2×C4×C103—41no—
282C2×C4×C103—41no—
283C2×C4×C103—41no—
284C2×C4×C103—41no—
285C2×C4×C103—41no—
286C2×C4×C103—84no—
287C2×C4×C103—84no—
288C2×C4×C103#13512yes—
289C2×C4×C103AGL(1,ℤ/8)12yes—
290C2×C4×C103C22×D411yescharacteristic
291C2×C4×C103C2×#4111yescharacteristic
292C2×C4×C103C2×#4111yescharacteristic
293C2×C4×C103C2×#4111yescharacteristic
294C2×C4×C103H(5,𝔽2)11yescharacteristic
295C2×C4×C1032−1+411yescharacteristic
296C8×C103—22no—
297C8×C103—41no—
298C8×C103—41no—
299C8×C103—41no—
300C22×C103—42no—
301C22×C103—42no—
302C22×C103—42no—
303C22×C103—42no—
304C22×C103—42no—
305C22×C103—42no—
306C22×C103—81no—
307C22×C103—81no—
308C22×C103—81no—
309C22×C103—81no—
310C22×C103—81no—
311C22×C103—81no—
312C22×C103—81no—
313C22×C103—81no—
314C22×C103#52511yescharacteristic
315C22×C103D4211yescharacteristic
316C22×C103#54811yescharacteristic
317C22×C103C2×#13511yescharacteristic
318C22×C103C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C103#57711yescharacteristic
320C22×C103#57711yescharacteristic
321C4×C103—22no—
322C4×C103—22no—
323C4×C103—41no—
324C4×C103—42no—
325C4×C103—41no—
326C4×C103—42no—
327C4×C103—41no—
328C4×C103—41no—
329C4×C103—42no—
330C4×C103—81no—
331C4×C103—81no—
332C4×C103—81no—
333C4×C103#52511yescharacteristic
334C4×C103#53911yescharacteristic
335C4×C103#54811yescharacteristic
336C4×C103#55111yescharacteristic
337#26896C10311yesmaximal, characteristic, direct product factor, Sylow
338C2×C103—82no—
339C2×C103—82no—
340C2×C103#246311yescharacteristic
341C2×C103#310511yescharacteristic
342C2×C103#312311yescharacteristic
343C2×C103#326511yescharacteristic
344C2×C103#328411yescharacteristic
345C2×C103#336511yescharacteristic
346C2×C103#336811yescharacteristic
347C2×#478C2×C10311yescharacteristic, complemented
348C2×C4×SD16C2×C10311yescharacteristic, complemented
349#2453C2×C10311yescharacteristic, complemented
350#2366C2×C10311yescharacteristic
351#2055C2×C10311yescharacteristic, complemented
352#2041C2×C10311yescharacteristic
353#2025C2×C10311yescharacteristic, complemented
354#2014C2×C10311yescharacteristic
355#1934C2×C10311yescharacteristic, complemented
356#1928C2×C10311yescharacteristic, complemented
357#1919C2×C10311yescharacteristic, complemented
358#1916C2×C10311yescharacteristic, complemented
359#1880C2×C10311yescharacteristic, complemented
360#1877C2×C10311yescharacteristic, complemented
361#1862C2×C10311yescharacteristic, complemented
362C103#2689611yescharacteristic, direct product factor, Sylow
363C22×SD16C22×C10311yescharacteristic
364C22×SD16C22×C10311yescharacteristic
365C2×#127C22×C10311yescharacteristic
366C2×#125C22×C10311yescharacteristic
367C2×C4×Q8C22×C10311yescharacteristic
368C2×C4×D4—21no—
369C2×C4×D4C22×C10311yescharacteristic
370C2×C4×D4C22×C10311yescharacteristic
371#478—24no—
372C4×SD16—24no—
373C2×#107C22×C10311yescharacteristic
374C2×#106C22×C10311yescharacteristic
375C2×C4⋊C8C22×C10311yescharacteristic
376C2×#103C22×C10311yescharacteristic
377C2×#103C22×C10311yescharacteristic
378C2×#102C22×C10311yescharacteristic
379C2×#102C22×C10311yescharacteristic
380C2×#102C22×C10311yescharacteristic
381C2×#102C22×C10311yescharacteristic
382C2×#102C22×C10311yescharacteristic
383C2×#102C22×C10311yescharacteristic
384C2×C4×C8C22×C10311yescharacteristic
385#400—21no—
386#398—21no—
387#391C22×C10311yescharacteristic
388#391C22×C10311yescharacteristic
389#390—21no—
390#390C22×C10311yescharacteristic
391#390C22×C10311yescharacteristic
392#389—21no—
393#389C22×C10311yescharacteristic
394#389C22×C10311yescharacteristic
395#387—21no—
396#386—21no—
397#386—21no—
398C4×C4⋊C4C22×C10311yescharacteristic
399C4×C4⋊C4C22×C10311yescharacteristic
400#340C22×C10311yescharacteristic
401#340C22×C10311yescharacteristic
402#340C22×C10311yescharacteristic
403#340C22×C10311yescharacteristic
404#336C22×C10311yescharacteristic
405#336C22×C10311yescharacteristic
406#336C22×C10311yescharacteristic
407#336C22×C10311yescharacteristic
408C22×Q8C23×C10311yescharacteristic
409C22×D4—21no—
410C22×D4—21no—
411C22×D4C23×C10311yescharacteristic
412C22×D4C23×C10311yescharacteristic
413C23×C4—21no—
414C23×C4—21no—
415C2×SD16—22no—
416C2×SD16—22no—
417C2×SD16—22no—
418C2×SD16—22no—
419C2×SD16—22no—
420C2×SD16—41no—
421C22×C8C23×C10311yescharacteristic
422C22×C8C23×C10311yescharacteristic
423C22×C8C23×C10311yescharacteristic
424C22×C8C23×C10311yescharacteristic
425#127—22no—
426#127—22no—
427#125—22no—
428#125—41no—
429C4×Q8—22no—
430C4×Q8—41no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4—41no—
434C4×D4—41no—
435C4×D4—44no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4D4×C10311yescharacteristic
442C2×C4⋊C4D4×C10311yescharacteristic
443C2×C4⋊C4C23×C10311yescharacteristic
444C2×C4⋊C4C23×C10311yescharacteristic
445C2×C4⋊C4C23×C10311yescharacteristic
446C2×C4⋊C4C23×C10311yescharacteristic
447C2×C4⋊C4C23×C10311yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C42—21no—
455C2×C42—21no—
456C2×C42C23×C10311yescharacteristic
457C2×C42C23×C10311yescharacteristic
458C2×C42C23×C10311yescharacteristic
459#107—22no—
460#106D4×C10314yescomplemented
461C4⋊C8—22no—
462#103—22no—
463#103—22no—
464#102—22no—
465#102—22no—
466#102—22no—
467#102—22no—
468#102—22no—
469#102—41no—
470C4×C8—22no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95D4×C10311yescharacteristic
479#95D4×C10311yescharacteristic
480C24—21no—
481C24—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8#41×C10312yes—
488C2×D4—24no—
489C2×D4—24no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—81no—
503C2×D4—81no—
504C2×D4#41×C10312yes—
505C2×D4#41×C10312yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4C2×D4×C10311yescharacteristic
519C22×C4C2×D4×C10311yescharacteristic
520C22×C4C2×D4×C10311yescharacteristic
521C22×C4C2×D4×C10311yescharacteristic
522C22×C4C2×D4×C10311yescharacteristic
523C22×C4C2×D4×C10311yescharacteristic
524C22×C4C24×C10311yescharacteristic
525SD16—28no—
526SD16—44no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8C2×D4×C10312yes—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4C2×D4×C10312yes—
555C4⋊C4C2×D4×C10312yes—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—42no—
569C42—42no—
570C23—22no—
571C23—22no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23C22×D4×C10311yescharacteristic
585Q8—22no—
586Q8—22no—
587Q8—41no—
588Q8—41no—
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—48no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—41no—
598D4—84no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—84no—
635C2×C4#135×C10312yes—
636C2×C4AGL(1,ℤ/8)×C10312yes—
637C2×C4C22×D4×C10311yescharacteristic
638C2×C4C2×#41×C10311yescharacteristic
639C2×C4C2×#41×C10311yescharacteristic
640C2×C4C2×#41×C10311yescharacteristic
641C2×C4H(5,𝔽2)×C10311yescharacteristic
642C2×C42−1+4×C10311yescharacteristic
643C8—22no—
644C8—41no—
645C8—41no—
646C8—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22#525×C10311yescharacteristic
662C22D42×C10311yescharacteristic
663C22#548×C10311yescharacteristic
664C22C2×#135×C10311yescharacteristic
665C22C2×AGL(1,ℤ/8)×C10311yescharacteristic
666C22#577×C10311yescharacteristic
667C22#577×C10311yescharacteristic
668C4—22no—
669C4—22no—
670C4—42no—
671C4—41no—
672C4—42no—
673C4—41no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—81no—
680C4#525×C10311yescharacteristic
681C4#539×C10311yescharacteristic
682C4#548×C10311yescharacteristic
683C4#551×C10311yescharacteristic
684C2—82no—
685C2—82no—
686C2C103×#246311yescharacteristic
687C2C103×#310511yescharacteristic
688C2C103×#312311yescharacteristic
689C2C103×#326511yescharacteristic
690C2C103×#328411yescharacteristic
691C2C103×#336511yescharacteristic
692C2C103×#336811yescharacteristic
subgroupG/H
center, socleC23×C103C22×D4
commutator, Frattini, cosocleC22×C4C24×C103
prime radicalC2×#127×C103C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C103 ◁ C4×C4⋊C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#478×C103C2semidirect
2. C2×C4×SD16×C103C2semidirect
3. C103×#2453C2semidirect
5. C103×#2055C2semidirect
7. C103×#2025C2semidirect
9. C103×#1934C2semidirect
10. C103×#1928C2semidirect
11. C103×#1919C2semidirect
12. C103×#1916C2semidirect
13. C103×#1880C2semidirect
14. C103×#1877C2semidirect
15. C103×#1862C2semidirect
113. #106×C103D4semidirect
337. #26896C103direct (N × H)
347. C2×#478C2×C103semidirect
348. C2×C4×SD16C2×C103semidirect
349. #2453C2×C103semidirect
351. #2055C2×C103semidirect
353. #2025C2×C103semidirect
355. #1934C2×C103semidirect
356. #1928C2×C103semidirect
357. #1919C2×C103semidirect
358. #1916C2×C103semidirect
359. #1880C2×C103semidirect
360. #1877C2×C103semidirect
361. #1862C2×C103semidirect
362. C103#26896direct (N × H)
460. #106D4×C103semidirect

Maximal subgroups

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

subgroupindex
C2×#478×C1032
C2×C4×SD16×C1032
C103×#24532
C103×#23662
C103×#20552
C103×#20412
C103×#20252
C103×#20142
C103×#19342
C103×#19282
C103×#19192
C103×#19162
C103×#18802
C103×#18772
C103×#18622
#26896103