Finite Group Databasebeta

← C103×#17506 #39922781

Subgroups — C103×#17506 #39922781

Order 26368.

890 conjugacy classes of subgroups.

The subgroup lattice has 852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3461C211yesmaximal, characteristic
2C103×#2989C211yesmaximal, characteristic, complemented
3C103×#2965C211yesmaximal, characteristic, complemented
4C103×#1497C211yesmaximal, characteristic, complemented
5C103×#1495C211yesmaximal, characteristic, complemented
6C103×#1494C211yesmaximal, characteristic, complemented
7C103×#1493C211yesmaximal, characteristic, complemented
8C103×#1491C211yesmaximal, characteristic, complemented
9C103×#1489C211yesmaximal, characteristic, complemented
10C103×#1488C211yesmaximal, characteristic, complemented
11C103×#1487C211yesmaximal, characteristic, complemented
12C103×#1485C211yesmaximal, characteristic, complemented
13C103×#1483C211yesmaximal, characteristic, complemented
14C103×#1482C211yesmaximal, characteristic, complemented
15C103×#1481C211yesmaximal, characteristic, complemented
16#544×C103C411yescharacteristic
17#542×C103—21no—
18#542×C103C411yescharacteristic
19#542×C103C411yescharacteristic
20#541×C103—21no—
21#541×C103C411yescharacteristic
22#541×C103C411yescharacteristic
23#539×C103—21no—
24#539×C103—21no—
25#537×C103C411yescharacteristic
26#536×C103C411yescharacteristic
27#536×C103C411yescharacteristic
28#533×C103—21no—
29#533×C103C2211yescharacteristic
30#533×C103C2211yescharacteristic
31#529×C103—21no—
32#529×C103—21no—
33#529×C103—21no—
34#529×C103C2211yescharacteristic
35#529×C103C2211yescharacteristic
36C4×#41×C103C2211yescharacteristic
37C4×#41×C103C2211yescharacteristic
38C2×C4×Q8×C103C2211yescharacteristic
39#446×C103—21no—
40#446×C103—21no—
41#436×C103—21no—
42#436×C103—21no—
43#435×C103—21no—
44#435×C103—21no—
45#435×C103—21no—
46#435×C103—21no—
47#432×C103C2211yescharacteristic
48#432×C103C2211yescharacteristic
49#431×C103C2211yescharacteristic
50#431×C103C2211yescharacteristic
51#431×C103C2211yescharacteristic
52#431×C103C2211yescharacteristic
53#423×C103C2211yescharacteristic
54#423×C103C2211yescharacteristic
55C2×C4⋊C8×C103C2211yescharacteristic
56C4×M16×C103C2211yescharacteristic
57C4×M16×C103C2211yescharacteristic
58C2×C4×C8×C103C2211yescharacteristic
59Q8⋊C8×C103C2211yescharacteristic
60Q8⋊C8×C103C2211yescharacteristic
61Q8⋊C8×C103C2211yescharacteristic
62Q8⋊C8×C103C2211yescharacteristic
63Q8⋊C8×C103C2211yescharacteristic
64Q8⋊C8×C103C2211yescharacteristic
65Q8⋊C8×C103C2211yescharacteristic
66Q8⋊C8×C103C2211yescharacteristic
67Q8⋊C8×C103C2211yescharacteristic
68Q8⋊C8×C103C2211yescharacteristic
69Q8⋊C8×C103C2211yescharacteristic
70Q8⋊C8×C103C2211yescharacteristic
71D4⋊C8×C103C2211yescharacteristic
72D4⋊C8×C103C2211yescharacteristic
73D4⋊C8×C103C2211yescharacteristic
74D4⋊C8×C103C2211yescharacteristic
75C2×#41×C103C2×C411yescharacteristic
76C2×#41×C103C2×C411yescharacteristic
77C22×Q8×C103C2×C411yescharacteristic
78C2×M16×C103—21no—
79C2×M16×C103—21no—
80C2×M16×C103—21no—
81C2×M16×C103—21no—
82C22×C8×C103—21no—
83C22×C8×C103—21no—
84C4⋊Q8×C103—21no—
85C4⋊Q8×C103—21no—
86C4⋊Q8×C103C2×C411yescharacteristic
87C4⋊Q8×C103C2×C411yescharacteristic
88C4⋊Q8×C103C2×C411yescharacteristic
89C4⋊Q8×C103C2×C411yescharacteristic
90#126×C103—21no—
91#126×C103—21no—
92#126×C103—21no—
93#126×C103—21no—
94#126×C103—21no—
95#126×C103—21no—
96#126×C103—21no—
97#126×C103—21no—
98#125×C103—21no—
99#125×C103—21no—
100#125×C103—21no—
101#125×C103—21no—
102#125×C103—21no—
103#125×C103—21no—
104#125×C103—21no—
105#125×C103C2×C411yescharacteristic
106#125×C103C2×C411yescharacteristic
107#124×C103—21no—
108#124×C103—21no—
109#124×C103—21no—
110#124×C103C2×C411yescharacteristic
111#124×C103C2×C411yescharacteristic
112#123×C103—21no—
113#123×C103—21no—
114#123×C103—21no—
115#123×C103—21no—
116#123×C103—21no—
117#123×C103—21no—
118#123×C103—21no—
119#123×C103—21no—
120C22⋊Q8×C103—21no—
121C22⋊Q8×C103—21no—
122C22⋊Q8×C103—21no—
123C22⋊Q8×C103—21no—
124C22⋊Q8×C103—21no—
125C22⋊Q8×C103—21no—
126C22⋊Q8×C103—21no—
127C22⋊Q8×C103—21no—
128C22⋊Q8×C103—21no—
129C22⋊Q8×C103C2×C411yescharacteristic
130C22⋊Q8×C103C2×C411yescharacteristic
131C22⋊Q8×C103C2×C411yescharacteristic
132C22⋊Q8×C103C2×C411yescharacteristic
133C22⋊Q8×C103C2×C411yescharacteristic
134C22⋊Q8×C103C2×C411yescharacteristic
135#121×C103—21no—
136#121×C103—21no—
137#121×C103—21no—
138#121×C103C2×C411yescharacteristic
139#121×C103C2×C411yescharacteristic
140C4×Q8×C103—21no—
141C4×Q8×C103—21no—
142C4×Q8×C103—21no—
143C4×Q8×C103—21no—
144C4×Q8×C103C2×C411yescharacteristic
145C4×Q8×C103C2×C411yescharacteristic
146C4×Q8×C103C2×C411yescharacteristic
147C4×Q8×C103D411yescharacteristic
148C4×Q8×C103D411yescharacteristic
149C4×Q8×C103C2311yescharacteristic
150C4×Q8×C103C2311yescharacteristic
151C4×Q8×C103C2311yescharacteristic
152C4×D4×C103—21no—
153C4×D4×C103—21no—
154C4×D4×C103—21no—
155C4×D4×C103—21no—
156C4×D4×C103C2×C411yescharacteristic
157C4×D4×C103D411yescharacteristic
158C4×D4×C103D411yescharacteristic
159C4×D4×C103D411yescharacteristic
160C4×D4×C103D411yescharacteristic
161C4×D4×C103D411yescharacteristic
162C4×D4×C103D411yescharacteristic
163C4×D4×C103C2311yescharacteristic
164#117×C103—21no—
165#117×C103—21no—
166#117×C103—21no—
167#117×C103—21no—
168#117×C103—21no—
169#117×C103C2×C411yescharacteristic
170#117×C103C2×C411yescharacteristic
171#117×C103C2×C411yescharacteristic
172#117×C103C2×C411yescharacteristic
173C2×C4⋊C4×C103—21no—
174C2×C4⋊C4×C103C2×C411yescharacteristic
175C2×C42×C103—21no—
176C2×C42×C103—21no—
177C2×C42×C103C2311yescharacteristic
178C2×C42×C103C2311yescharacteristic
179C2×C42×C103C2311yescharacteristic
180C4⋊C8×C103—21no—
181C4⋊C8×C103—21no—
182C4⋊C8×C103—21no—
183C4⋊C8×C103—21no—
184C4⋊C8×C103—21no—
185C4⋊C8×C103—21no—
186C4⋊C8×C103C2311yescharacteristic
187C4⋊C8×C103C2311yescharacteristic
188C4⋊C8×C103C2311yescharacteristic
189C4⋊C8×C103C2311yescharacteristic
190C22⋊C8×C103—21no—
191C22⋊C8×C103—21no—
192C22⋊C8×C103—21no—
193C22⋊C8×C103—21no—
194C22⋊C8×C103—21no—
195C22⋊C8×C103—21no—
196#97×C103—21no—
197#97×C103—21no—
198#97×C103—21no—
199#97×C103—21no—
200C4×C8×C103—21no—
201C4×C8×C103—21no—
202C4×C8×C103C2311yescharacteristic
203C4×C8×C103C2311yescharacteristic
204C4×C8×C103C2311yescharacteristic
205C4×C8×C103C2311yescharacteristic
206#41×C103—42no—
207#41×C103—42no—
208C2×Q8×C103—21no—
209C2×Q8×C103—21no—
210C2×Q8×C103—21no—
211C2×Q8×C103—42no—
212C2×Q8×C103C22⋊C411yescharacteristic
213C2×Q8×C103C22×C411yescharacteristic
214C2×Q8×C103C22×C411yescharacteristic
215C2×Q8×C103C22×C411yescharacteristic
216C2×D4×C103—21no—
217C2×D4×C103—21no—
218C2×D4×C103—21no—
219C2×D4×C103C22⋊C411yescharacteristic
220C2×D4×C103C22⋊C411yescharacteristic
221C2×D4×C103C22⋊C411yescharacteristic
222C2×D4×C103C22×C411yescharacteristic
223C22×C4×C103—21no—
224C22×C4×C103—21no—
225C22×C4×C103—21no—
226C22×C4×C103—21no—
227C22×C4×C103—21no—
228C22×C4×C103C22×C411yescharacteristic
229C22×C4×C103C22×C411yescharacteristic
230C22×C4×C103C22×C411yescharacteristic
231C22×C4×C103C2×D411yescharacteristic
232C22×C4×C103C2×D411yescharacteristic
233C22×C4×C103C2×D411yescharacteristic
234C22×C4×C103C2×D411yescharacteristic
235C22×C4×C103C2×D411yescharacteristic
236C22×C4×C103C2×D411yescharacteristic
237M16×C103—42no—
238M16×C103—42no—
239M16×C103—81no—
240M16×C103—81no—
241C2×C8×C103—21no—
242C2×C8×C103—21no—
243C2×C8×C103—21no—
244C2×C8×C103—21no—
245C2×C8×C103—21no—
246C2×C8×C103—21no—
247C2×C8×C103—21no—
248C2×C8×C103—21no—
249C2×C8×C103—42no—
250C2×C8×C103—81no—
251C4⋊C4×C103—21no—
252C4⋊C4×C103—21no—
253C4⋊C4×C103—21no—
254C4⋊C4×C103—21no—
255C4⋊C4×C103—21no—
256C4⋊C4×C103—21no—
257C4⋊C4×C103—21no—
258C4⋊C4×C103—21no—
259C4⋊C4×C103—21no—
260C4⋊C4×C103—21no—
261C4⋊C4×C103—21no—
262C4⋊C4×C103—21no—
263C4⋊C4×C103—21no—
264C4⋊C4×C103—21no—
265C4⋊C4×C103—21no—
266C4⋊C4×C103—21no—
267C4⋊C4×C103—21no—
268C4⋊C4×C103—21no—
269C4⋊C4×C103—21no—
270C4⋊C4×C103—21no—
271C4⋊C4×C103—21no—
272C4⋊C4×C103—21no—
273C4⋊C4×C103—21no—
274C4⋊C4×C103C22⋊C411yescharacteristic
275C4⋊C4×C103C22⋊C411yescharacteristic
276C4⋊C4×C103C22⋊C411yescharacteristic
277C4⋊C4×C103C22⋊C411yescharacteristic
278C4⋊C4×C103C22⋊C411yescharacteristic
279C4⋊C4×C103C22⋊C411yescharacteristic
280C4⋊C4×C103C22×C411yescharacteristic
281C4⋊C4×C103C22×C411yescharacteristic
282C4⋊C4×C103C22×C411yescharacteristic
283C4⋊C4×C103C22×C411yescharacteristic
284C22⋊C4×C103—21no—
285C22⋊C4×C103—21no—
286C22⋊C4×C103—21no—
287C22⋊C4×C103—21no—
288C22⋊C4×C103—21no—
289C22⋊C4×C103—21no—
290C22⋊C4×C103—21no—
291C22⋊C4×C103—21no—
292C22⋊C4×C103—21no—
293C22⋊C4×C103—21no—
294C22⋊C4×C103—21no—
295C22⋊C4×C103—21no—
296C22⋊C4×C103—21no—
297C22⋊C4×C103—21no—
298C22⋊C4×C103—21no—
299C22⋊C4×C103C22⋊C411yescharacteristic
300C22⋊C4×C103C22⋊C411yescharacteristic
301C22⋊C4×C103C22⋊C411yescharacteristic
302C22⋊C4×C103C22⋊C411yescharacteristic
303C22⋊C4×C103C22⋊C411yescharacteristic
304C22⋊C4×C103C22⋊C411yescharacteristic
305C42×C103—21no—
306C42×C103—21no—
307C42×C103—21no—
308C42×C103—21no—
309C42×C103—21no—
310C42×C103—21no—
311C42×C103—21no—
312C42×C103C22×C411yescharacteristic
313C42×C103C22×C411yescharacteristic
314C42×C103C22×C411yescharacteristic
315C42×C103C2×D411yescharacteristic
316C42×C103C2×D411yescharacteristic
317C42×C103C2×D411yescharacteristic
318C42×C103C2×D411yescharacteristic
319C42×C103C2×D411yescharacteristic
320C42×C103C2×D411yescharacteristic
321C42×C103C2411yescharacteristic
322C23×C103—21no—
323C23×C103C2×C22⋊C411yescharacteristic
324C23×C103C2×C22⋊C411yescharacteristic
325C23×C103C2×C22⋊C411yescharacteristic
326Q8×C103—22no—
327Q8×C103—22no—
328Q8×C103—22no—
329Q8×C103—41no—
330Q8×C103—42no—
331Q8×C103—81no—
332Q8×C103—81no—
333D4×C103—22no—
334D4×C103—41no—
335D4×C103—41no—
336D4×C103—41no—
337D4×C103—42no—
338D4×C103—81no—
339D4×C103—81no—
340C2×C4×C103—22no—
341C2×C4×C103—22no—
342C2×C4×C103—22no—
343C2×C4×C103—21no—
344C2×C4×C103—21no—
345C2×C4×C103—21no—
346C2×C4×C103—21no—
347C2×C4×C103—21no—
348C2×C4×C103—21no—
349C2×C4×C103—21no—
350C2×C4×C103—21no—
351C2×C4×C103—21no—
352C2×C4×C103—21no—
353C2×C4×C103—21no—
354C2×C4×C103—21no—
355C2×C4×C103—21no—
356C2×C4×C103—41no—
357C2×C4×C103—41no—
358C2×C4×C103—41no—
359C2×C4×C103—42no—
360C2×C4×C103—42no—
361C2×C4×C103—41no—
362C2×C4×C103—41no—
363C2×C4×C103—81no—
364C2×C4×C103—81no—
365C2×C4×C103C2×C22⋊C411yescharacteristic
366C2×C4×C103C2×C22⋊C411yescharacteristic
367C2×C4×C103C2×C22⋊C411yescharacteristic
368C2×C4×C103C2×C22⋊C411yescharacteristic
369C2×C4×C103C2×C22⋊C411yescharacteristic
370C2×C4×C103C2×C22⋊C411yescharacteristic
371C2×C4×C103C2×C22⋊C411yescharacteristic
372C2×C4×C103C2×C22⋊C411yescharacteristic
373C2×C4×C103C2×C22⋊C411yescharacteristic
374C2×C4×C103C23×C411yescharacteristic
375C2×C4×C103C22×D411yescharacteristic
376C2×C4×C103C22×D411yescharacteristic
377C8×C103—22no—
378C8×C103—41no—
379C8×C103—41no—
380C8×C103—41no—
381C8×C103—41no—
382C8×C103—41no—
383C8×C103—41no—
384C8×C103—41no—
385C22×C103—21no—
386C22×C103—21no—
387C22×C103—21no—
388C22×C103—21no—
389C22×C103—21no—
390C22×C103—21no—
391C22×C103—21no—
392C22×C103—21no—
393C22×C103—21no—
394C22×C103—41no—
395C22×C103—41no—
396C22×C103—41no—
397C22×C103C22×C22⋊C411yescharacteristic
398C4×C103—21no—
399C4×C103—21no—
400C4×C103—21no—
401C4×C103—21no—
402C4×C103—21no—
403C4×C103—21no—
404C4×C103—21no—
405C4×C103—21no—
406C4×C103—21no—
407C4×C103—21no—
408C4×C103—41no—
409C4×C103—41no—
410C4×C103—41no—
411C4×C103—41no—
412C4×C103—41no—
413C4×C103—41no—
414C4×C103—41no—
415C4×C103#56812yes—
416C4×C103#57711yescharacteristic
417C4×C103#57811yescharacteristic
418#17506C10311yesmaximal, characteristic, direct product factor, Sylow
419C2×C103—41no—
420C2×C103—41no—
421C2×C103—41no—
422C2×C103—81no—
423C2×C103#287911yescharacteristic
424C2×C103#289811yescharacteristic
425C2×C103#290111yescharacteristic
426#3461C2×C10311yescharacteristic
427#2989C2×C10311yescharacteristic, complemented
428#2965C2×C10311yescharacteristic, complemented
429#1497C2×C10311yescharacteristic, complemented
430#1495C2×C10311yescharacteristic, complemented
431#1494C2×C10311yescharacteristic, complemented
432#1493C2×C10311yescharacteristic, complemented
433#1491C2×C10311yescharacteristic, complemented
434#1489C2×C10311yescharacteristic, complemented
435#1488C2×C10311yescharacteristic, complemented
436#1487C2×C10311yescharacteristic, complemented
437#1485C2×C10311yescharacteristic, complemented
438#1483C2×C10311yescharacteristic, complemented
439#1482C2×C10311yescharacteristic, complemented
440#1481C2×C10311yescharacteristic, complemented
441C103#1750611yescharacteristic, direct product factor, Sylow
442#544C4×C10311yescharacteristic
443#542—21no—
444#542C4×C10311yescharacteristic
445#542C4×C10311yescharacteristic
446#541—21no—
447#541C4×C10311yescharacteristic
448#541C4×C10311yescharacteristic
449#539—21no—
450#539—21no—
451#537C4×C10311yescharacteristic
452#536C4×C10311yescharacteristic
453#536C4×C10311yescharacteristic
454#533—21no—
455#533C22×C10311yescharacteristic
456#533C22×C10311yescharacteristic
457#529—21no—
458#529—21no—
459#529—21no—
460#529C22×C10311yescharacteristic
461#529C22×C10311yescharacteristic
462C4×#41C22×C10311yescharacteristic
463C4×#41C22×C10311yescharacteristic
464C2×C4×Q8C22×C10311yescharacteristic
465#446—21no—
466#446—21no—
467#436—21no—
468#436—21no—
469#435—21no—
470#435—21no—
471#435—21no—
472#435—21no—
473#432C22×C10311yescharacteristic
474#432C22×C10311yescharacteristic
475#431C22×C10311yescharacteristic
476#431C22×C10311yescharacteristic
477#431C22×C10311yescharacteristic
478#431C22×C10311yescharacteristic
479#423C22×C10311yescharacteristic
480#423C22×C10311yescharacteristic
481C2×C4⋊C8C22×C10311yescharacteristic
482C4×M16C22×C10311yescharacteristic
483C4×M16C22×C10311yescharacteristic
484C2×C4×C8C22×C10311yescharacteristic
485Q8⋊C8C22×C10311yescharacteristic
486Q8⋊C8C22×C10311yescharacteristic
487Q8⋊C8C22×C10311yescharacteristic
488Q8⋊C8C22×C10311yescharacteristic
489Q8⋊C8C22×C10311yescharacteristic
490Q8⋊C8C22×C10311yescharacteristic
491Q8⋊C8C22×C10311yescharacteristic
492Q8⋊C8C22×C10311yescharacteristic
493Q8⋊C8C22×C10311yescharacteristic
494Q8⋊C8C22×C10311yescharacteristic
495Q8⋊C8C22×C10311yescharacteristic
496Q8⋊C8C22×C10311yescharacteristic
497D4⋊C8C22×C10311yescharacteristic
498D4⋊C8C22×C10311yescharacteristic
499D4⋊C8C22×C10311yescharacteristic
500D4⋊C8C22×C10311yescharacteristic
501C2×#41C2×C4×C10311yescharacteristic
502C2×#41C2×C4×C10311yescharacteristic
503C22×Q8C2×C4×C10311yescharacteristic
504C2×M16—21no—
505C2×M16—21no—
506C2×M16—21no—
507C2×M16—21no—
508C22×C8—21no—
509C22×C8—21no—
510C4⋊Q8—21no—
511C4⋊Q8—21no—
512C4⋊Q8C2×C4×C10311yescharacteristic
513C4⋊Q8C2×C4×C10311yescharacteristic
514C4⋊Q8C2×C4×C10311yescharacteristic
515C4⋊Q8C2×C4×C10311yescharacteristic
516#126—21no—
517#126—21no—
518#126—21no—
519#126—21no—
520#126—21no—
521#126—21no—
522#126—21no—
523#126—21no—
524#125—21no—
525#125—21no—
526#125—21no—
527#125—21no—
528#125—21no—
529#125—21no—
530#125—21no—
531#125C2×C4×C10311yescharacteristic
532#125C2×C4×C10311yescharacteristic
533#124—21no—
534#124—21no—
535#124—21no—
536#124C2×C4×C10311yescharacteristic
537#124C2×C4×C10311yescharacteristic
538#123—21no—
539#123—21no—
540#123—21no—
541#123—21no—
542#123—21no—
543#123—21no—
544#123—21no—
545#123—21no—
546C22⋊Q8—21no—
547C22⋊Q8—21no—
548C22⋊Q8—21no—
549C22⋊Q8—21no—
550C22⋊Q8—21no—
551C22⋊Q8—21no—
552C22⋊Q8—21no—
553C22⋊Q8—21no—
554C22⋊Q8—21no—
555C22⋊Q8C2×C4×C10311yescharacteristic
556C22⋊Q8C2×C4×C10311yescharacteristic
557C22⋊Q8C2×C4×C10311yescharacteristic
558C22⋊Q8C2×C4×C10311yescharacteristic
559C22⋊Q8C2×C4×C10311yescharacteristic
560C22⋊Q8C2×C4×C10311yescharacteristic
561#121—21no—
562#121—21no—
563#121—21no—
564#121C2×C4×C10311yescharacteristic
565#121C2×C4×C10311yescharacteristic
566C4×Q8—21no—
567C4×Q8—21no—
568C4×Q8—21no—
569C4×Q8—21no—
570C4×Q8C2×C4×C10311yescharacteristic
571C4×Q8C2×C4×C10311yescharacteristic
572C4×Q8C2×C4×C10311yescharacteristic
573C4×Q8D4×C10311yescharacteristic
574C4×Q8D4×C10311yescharacteristic
575C4×Q8C23×C10311yescharacteristic
576C4×Q8C23×C10311yescharacteristic
577C4×Q8C23×C10311yescharacteristic
578C4×D4—21no—
579C4×D4—21no—
580C4×D4—21no—
581C4×D4—21no—
582C4×D4C2×C4×C10311yescharacteristic
583C4×D4D4×C10311yescharacteristic
584C4×D4D4×C10311yescharacteristic
585C4×D4D4×C10311yescharacteristic
586C4×D4D4×C10311yescharacteristic
587C4×D4D4×C10311yescharacteristic
588C4×D4D4×C10311yescharacteristic
589C4×D4C23×C10311yescharacteristic
590#117—21no—
591#117—21no—
592#117—21no—
593#117—21no—
594#117—21no—
595#117C2×C4×C10311yescharacteristic
596#117C2×C4×C10311yescharacteristic
597#117C2×C4×C10311yescharacteristic
598#117C2×C4×C10311yescharacteristic
599C2×C4⋊C4—21no—
600C2×C4⋊C4C2×C4×C10311yescharacteristic
601C2×C42—21no—
602C2×C42—21no—
603C2×C42C23×C10311yescharacteristic
604C2×C42C23×C10311yescharacteristic
605C2×C42C23×C10311yescharacteristic
606C4⋊C8—21no—
607C4⋊C8—21no—
608C4⋊C8—21no—
609C4⋊C8—21no—
610C4⋊C8—21no—
611C4⋊C8—21no—
612C4⋊C8C23×C10311yescharacteristic
613C4⋊C8C23×C10311yescharacteristic
614C4⋊C8C23×C10311yescharacteristic
615C4⋊C8C23×C10311yescharacteristic
616C22⋊C8—21no—
617C22⋊C8—21no—
618C22⋊C8—21no—
619C22⋊C8—21no—
620C22⋊C8—21no—
621C22⋊C8—21no—
622#97—21no—
623#97—21no—
624#97—21no—
625#97—21no—
626C4×C8—21no—
627C4×C8—21no—
628C4×C8C23×C10311yescharacteristic
629C4×C8C23×C10311yescharacteristic
630C4×C8C23×C10311yescharacteristic
631C4×C8C23×C10311yescharacteristic
632#41—42no—
633#41—42no—
634C2×Q8—21no—
635C2×Q8—21no—
636C2×Q8—21no—
637C2×Q8—42no—
638C2×Q8C22⋊C4×C10311yescharacteristic
639C2×Q8C22×C4×C10311yescharacteristic
640C2×Q8C22×C4×C10311yescharacteristic
641C2×Q8C22×C4×C10311yescharacteristic
642C2×D4—21no—
643C2×D4—21no—
644C2×D4—21no—
645C2×D4C22⋊C4×C10311yescharacteristic
646C2×D4C22⋊C4×C10311yescharacteristic
647C2×D4C22⋊C4×C10311yescharacteristic
648C2×D4C22×C4×C10311yescharacteristic
649C22×C4—21no—
650C22×C4—21no—
651C22×C4—21no—
652C22×C4—21no—
653C22×C4—21no—
654C22×C4C22×C4×C10311yescharacteristic
655C22×C4C22×C4×C10311yescharacteristic
656C22×C4C22×C4×C10311yescharacteristic
657C22×C4C2×D4×C10311yescharacteristic
658C22×C4C2×D4×C10311yescharacteristic
659C22×C4C2×D4×C10311yescharacteristic
660C22×C4C2×D4×C10311yescharacteristic
661C22×C4C2×D4×C10311yescharacteristic
662C22×C4C2×D4×C10311yescharacteristic
663M16—42no—
664M16—42no—
665M16—81no—
666M16—81no—
667C2×C8—21no—
668C2×C8—21no—
669C2×C8—21no—
670C2×C8—21no—
671C2×C8—21no—
672C2×C8—21no—
673C2×C8—21no—
674C2×C8—21no—
675C2×C8—42no—
676C2×C8—81no—
677C4⋊C4—21no—
678C4⋊C4—21no—
679C4⋊C4—21no—
680C4⋊C4—21no—
681C4⋊C4—21no—
682C4⋊C4—21no—
683C4⋊C4—21no—
684C4⋊C4—21no—
685C4⋊C4—21no—
686C4⋊C4—21no—
687C4⋊C4—21no—
688C4⋊C4—21no—
689C4⋊C4—21no—
690C4⋊C4—21no—
691C4⋊C4—21no—
692C4⋊C4—21no—
693C4⋊C4—21no—
694C4⋊C4—21no—
695C4⋊C4—21no—
696C4⋊C4—21no—
697C4⋊C4—21no—
698C4⋊C4—21no—
699C4⋊C4—21no—
700C4⋊C4C22⋊C4×C10311yescharacteristic
701C4⋊C4C22⋊C4×C10311yescharacteristic
702C4⋊C4C22⋊C4×C10311yescharacteristic
703C4⋊C4C22⋊C4×C10311yescharacteristic
704C4⋊C4C22⋊C4×C10311yescharacteristic
705C4⋊C4C22⋊C4×C10311yescharacteristic
706C4⋊C4C22×C4×C10311yescharacteristic
707C4⋊C4C22×C4×C10311yescharacteristic
708C4⋊C4C22×C4×C10311yescharacteristic
709C4⋊C4C22×C4×C10311yescharacteristic
710C22⋊C4—21no—
711C22⋊C4—21no—
712C22⋊C4—21no—
713C22⋊C4—21no—
714C22⋊C4—21no—
715C22⋊C4—21no—
716C22⋊C4—21no—
717C22⋊C4—21no—
718C22⋊C4—21no—
719C22⋊C4—21no—
720C22⋊C4—21no—
721C22⋊C4—21no—
722C22⋊C4—21no—
723C22⋊C4—21no—
724C22⋊C4—21no—
725C22⋊C4C22⋊C4×C10311yescharacteristic
726C22⋊C4C22⋊C4×C10311yescharacteristic
727C22⋊C4C22⋊C4×C10311yescharacteristic
728C22⋊C4C22⋊C4×C10311yescharacteristic
729C22⋊C4C22⋊C4×C10311yescharacteristic
730C22⋊C4C22⋊C4×C10311yescharacteristic
731C42—21no—
732C42—21no—
733C42—21no—
734C42—21no—
735C42—21no—
736C42—21no—
737C42—21no—
738C42C22×C4×C10311yescharacteristic
739C42C22×C4×C10311yescharacteristic
740C42C22×C4×C10311yescharacteristic
741C42C2×D4×C10311yescharacteristic
742C42C2×D4×C10311yescharacteristic
743C42C2×D4×C10311yescharacteristic
744C42C2×D4×C10311yescharacteristic
745C42C2×D4×C10311yescharacteristic
746C42C2×D4×C10311yescharacteristic
747C42C24×C10311yescharacteristic
748C23—21no—
749C23C2×C22⋊C4×C10311yescharacteristic
750C23C2×C22⋊C4×C10311yescharacteristic
751C23C2×C22⋊C4×C10311yescharacteristic
752Q8—22no—
753Q8—22no—
754Q8—22no—
755Q8—41no—
756Q8—42no—
757Q8—81no—
758Q8—81no—
759D4—22no—
760D4—41no—
761D4—41no—
762D4—41no—
763D4—42no—
764D4—81no—
765D4—81no—
766C2×C4—22no—
767C2×C4—22no—
768C2×C4—22no—
769C2×C4—21no—
770C2×C4—21no—
771C2×C4—21no—
772C2×C4—21no—
773C2×C4—21no—
774C2×C4—21no—
775C2×C4—21no—
776C2×C4—21no—
777C2×C4—21no—
778C2×C4—21no—
779C2×C4—21no—
780C2×C4—21no—
781C2×C4—21no—
782C2×C4—41no—
783C2×C4—41no—
784C2×C4—41no—
785C2×C4—42no—
786C2×C4—42no—
787C2×C4—41no—
788C2×C4—41no—
789C2×C4—81no—
790C2×C4—81no—
791C2×C4C2×C22⋊C4×C10311yescharacteristic
792C2×C4C2×C22⋊C4×C10311yescharacteristic
793C2×C4C2×C22⋊C4×C10311yescharacteristic
794C2×C4C2×C22⋊C4×C10311yescharacteristic
795C2×C4C2×C22⋊C4×C10311yescharacteristic
796C2×C4C2×C22⋊C4×C10311yescharacteristic
797C2×C4C2×C22⋊C4×C10311yescharacteristic
798C2×C4C2×C22⋊C4×C10311yescharacteristic
799C2×C4C2×C22⋊C4×C10311yescharacteristic
800C2×C4C23×C4×C10311yescharacteristic
801C2×C4C22×D4×C10311yescharacteristic
802C2×C4C22×D4×C10311yescharacteristic
803C8—22no—
804C8—41no—
805C8—41no—
806C8—41no—
807C8—41no—
808C8—41no—
809C8—41no—
810C8—41no—
811C22—21no—
812C22—21no—
813C22—21no—
814C22—21no—
815C22—21no—
816C22—21no—
817C22—21no—
818C22—21no—
819C22—21no—
820C22—41no—
821C22—41no—
822C22—41no—
823C22C22×C22⋊C4×C10311yescharacteristic
824C4—21no—
825C4—21no—
826C4—21no—
827C4—21no—
828C4—21no—
829C4—21no—
830C4—21no—
831C4—21no—
832C4—21no—
833C4—21no—
834C4—41no—
835C4—41no—
836C4—41no—
837C4—41no—
838C4—41no—
839C4—41no—
840C4—41no—
841C4#568×C10312yes—
842C4#577×C10311yescharacteristic
843C4#578×C10311yescharacteristic
844C2—41no—
845C2—41no—
846C2—41no—
847C2—81no—
848C2C103×#287911yescharacteristic
849C2C103×#289811yescharacteristic
850C2C103×#290111yescharacteristic
subgroupG/H
centerC2×C4×C103C22×D4
commutatorC2×C4C23×C4×C103
Frattini, cosocleC42C24×C103
socleC22×C103C22×C22⋊C4
prime radical#537×C103C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C103 ◁ C4×#41×C103 ◁ G

Complements

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

NH ≅ G/Ntype
2. C103×#2989C2semidirect
3. C103×#2965C2semidirect
4. C103×#1497C2semidirect
5. C103×#1495C2semidirect
6. C103×#1494C2semidirect
7. C103×#1493C2semidirect
8. C103×#1491C2semidirect
9. C103×#1489C2semidirect
10. C103×#1488C2semidirect
11. C103×#1487C2semidirect
12. C103×#1485C2semidirect
13. C103×#1483C2semidirect
14. C103×#1482C2semidirect
15. C103×#1481C2semidirect
418. #17506C103direct (N × H)
427. #2989C2×C103semidirect
428. #2965C2×C103semidirect
429. #1497C2×C103semidirect
430. #1495C2×C103semidirect
431. #1494C2×C103semidirect
432. #1493C2×C103semidirect
433. #1491C2×C103semidirect
434. #1489C2×C103semidirect
435. #1488C2×C103semidirect
436. #1487C2×C103semidirect
437. #1485C2×C103semidirect
438. #1483C2×C103semidirect
439. #1482C2×C103semidirect
440. #1481C2×C103semidirect
441. C103#17506direct (N × H)

Maximal subgroups

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

subgroupindex
C103×#34612
C103×#29892
C103×#29652
C103×#14972
C103×#14952
C103×#14942
C103×#14932
C103×#14912
C103×#14892
C103×#14882
C103×#14872
C103×#14852
C103×#14832
C103×#14822
C103×#14812
#17506103