Finite Group Databasebeta

← C103×#18448 #39923723

Subgroups — C103×#18448 #39923723

Order 26368.

968 conjugacy classes of subgroups.

The subgroup lattice has 950 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3535C211yesmaximal, characteristic, complemented
2C103×#3193C211yesmaximal, characteristic, complemented
3C103×#3188C211yesmaximal, characteristic, complemented
4C103×#2813C211yesmaximal, characteristic, complemented
5C103×#1618C211yesmaximal, characteristic, complemented
6C103×#1617C211yesmaximal, characteristic, complemented
7C103×#1615C211yesmaximal, characteristic, complemented
8C103×#1614C211yesmaximal, characteristic, complemented
9C103×#1600C211yesmaximal, characteristic, complemented
10C103×#1599C211yesmaximal, characteristic, complemented
11C103×#1597C211yesmaximal, characteristic, complemented
12C103×#1596C211yesmaximal, characteristic, complemented
13C103×#1520C211yesmaximal, characteristic, complemented
14C103×#1513C211yesmaximal, characteristic, complemented
15C103×#1468C211yesmaximal, characteristic, complemented
16#563×C103—21no—
17#562×C103—21no—
18#554×C103—21no—
19#552×C103—21no—
20#551×C103—21no—
21#551×C103—21no—
22#547×C103—21no—
23#546×C103—21no—
24#544×C103C2211yescharacteristic
25#543×C103C2211yescharacteristic
26#542×C103—21no—
27#539×C103—21no—
28#539×C103—21no—
29#539×C103C2211yescharacteristic
30#538×C103C2211yescharacteristic
31#536×C103—21no—
32#525×C103C2211yescharacteristic
33C2×#123×C103C2211yescharacteristic
34C2×C22⋊Q8×C103C2211yescharacteristic
35C2×#121×C103C2211yescharacteristic
36#484×C103C2211yescharacteristic
37#484×C103C2211yescharacteristic
38#484×C103C2211yescharacteristic
39#482×C103—21no—
40#481×C103C2211yescharacteristic
41#480×C103—21no—
42#468×C103—21no—
43#468×C103—21no—
44#466×C103—21no—
45#465×C103—21no—
46#450×C103C2211yescharacteristic
47#450×C103C2211yescharacteristic
48#450×C103C2211yescharacteristic
49#449×C103—21no—
50#448×C103—21no—
51#447×C103C2211yescharacteristic
52#407×C103C2211yescharacteristic
53C2×C22⋊C8×C103C2211yescharacteristic
54#400×C103C2211yescharacteristic
55#399×C103C2211yescharacteristic
56#396×C103—21no—
57#394×C103—21no—
58#394×C103—21no—
59#394×C103C2211yescharacteristic
60#392×C103—21no—
61#392×C103C2211yescharacteristic
62#380×C103C2211yescharacteristic
63#328×C103C2211yescharacteristic
64#328×C103C2211yescharacteristic
65#328×C103C2211yescharacteristic
66#328×C103C2211yescharacteristic
67#328×C103C2211yescharacteristic
68#328×C103C2211yescharacteristic
69#327×C103C2211yescharacteristic
70#327×C103C2211yescharacteristic
71#324×C103C2211yescharacteristic
72#324×C103C2211yescharacteristic
73#323×C103C2211yescharacteristic
74#323×C103C2211yescharacteristic
75C2×#41×C103—21no—
76C2×#41×C103D411yescharacteristic, complemented
77C22×Q8×C103D411yescharacteristic, complemented
78C22×D4×C103—21no—
79C22×D4×C103—21no—
80C22×D4×C103D411yescharacteristic
81C22×D4×C103C2311yescharacteristic
82C23×C4×C103C2311yescharacteristic
83C2×SD16×C103—21no—
84C2×SD16×C103—21no—
85C2×SD16×C103—21no—
86C2×D8×C103—21no—
87C2×M16×C103—21no—
88C22×C8×C103—21no—
89C4⋊Q8×C103—21no—
90C4⋊Q8×C103—21no—
91C4⋊Q8×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#124×C103—21no—
104#124×C103—21no—
105#124×C103—21no—
106#124×C103—21no—
107#123×C103—21no—
108#123×C103—21no—
109#123×C103—21no—
110#123×C103—21no—
111#123×C103—21no—
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—
120#123×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×C103—21no—
130C22⋊Q8×C103—21no—
131C22⋊Q8×C103—21no—
132C22⋊Q8×C103—21no—
133C22⋊Q8×C103—21no—
134C22⋊Q8×C103—21no—
135C22⋊Q8×C103D411yescharacteristic, complemented
136C22⋊Q8×C103D411yescharacteristic, complemented
137C22⋊Q8×C103D411yescharacteristic, complemented
138C22⋊Q8×C103C2311yescharacteristic
139C22⋊Q8×C103C2311yescharacteristic
140C22⋊Q8×C103C2311yescharacteristic
141#121×C103—21no—
142#121×C103—21no—
143#121×C103—21no—
144#121×C103—21no—
145#121×C103—21no—
146#121×C103—21no—
147#121×C103—21no—
148#121×C103—21no—
149#121×C103D411yescharacteristic, complemented
150#121×C103C2311yescharacteristic
151#120×C103—21no—
152#120×C103—21no—
153C4×Q8×C103—21no—
154C4×D4×C103—21no—
155C4×D4×C103—21no—
156C4×D4×C103—21no—
157C4×D4×C103—21no—
158C4×D4×C103—21no—
159C4×D4×C103—21no—
160C4×D4×C103—21no—
161#117×C103—21no—
162#117×C103—21no—
163#117×C103—21no—
164#117×C103D411yescharacteristic, complemented
165C2×C4⋊C4×C103—21no—
166C2×C4⋊C4×C103—21no—
167C2×C4⋊C4×C103—21no—
168C2×C4⋊C4×C103—21no—
169C2×C4⋊C4×C103D411yescharacteristic
170C2×C4⋊C4×C103D411yescharacteristic, complemented
171C2×C4⋊C4×C103C2311yescharacteristic
172C2×C4⋊C4×C103C2311yescharacteristic
173C2×C22⋊C4×C103—21no—
174C2×C22⋊C4×C103—21no—
175C2×C22⋊C4×C103—21no—
176C2×C22⋊C4×C103—21no—
177C2×C22⋊C4×C103—21no—
178C2×C22⋊C4×C103—21no—
179C2×C22⋊C4×C103—21no—
180C2×C22⋊C4×C103—21no—
181C2×C22⋊C4×C103D411yescharacteristic
182C2×C22⋊C4×C103D411yescharacteristic
183C2×C22⋊C4×C103C2311yescharacteristic
184#107×C103—21no—
185#107×C103—21no—
186#107×C103—21no—
187#106×C103—21no—
188#103×C103—21no—
189#103×C103—21no—
190#103×C103—21no—
191#102×C103—21no—
192#102×C103—21no—
193#102×C103—21no—
194#102×C103—21no—
195#102×C103—21no—
196C22⋊C8×C103—21no—
197C22⋊C8×C103—21no—
198C22⋊C8×C103C2311yescharacteristic
199C22⋊C8×C103C2311yescharacteristic
200C22⋊C8×C103C2311yescharacteristic
201C22⋊C8×C103C2311yescharacteristic
202#95×C103—21no—
203#95×C103—21no—
204#95×C103C2311yescharacteristic
205#95×C103C2311yescharacteristic
206C24×C103—21no—
207C24×C103C2×D411yescharacteristic
208C24×C103C2×D411yescharacteristic
209#41×C103—82no—
210#41×C103—81no—
211C2×Q8×C103—21no—
212C2×Q8×C103—21no—
213C2×Q8×C103—21no—
214C2×Q8×C103—81no—
215C2×Q8×C103C2×D411yescharacteristic
216C2×Q8×C103C2×D411yescharacteristic
217C2×Q8×C103C2×D411yescharacteristic
218C2×D4×C103—21no—
219C2×D4×C103—21no—
220C2×D4×C103—21no—
221C2×D4×C103—21no—
222C2×D4×C103—21no—
223C2×D4×C103—21no—
224C2×D4×C103—21no—
225C2×D4×C103—21no—
226C2×D4×C103—21no—
227C2×D4×C103—41no—
228C2×D4×C103—41no—
229C2×D4×C103—81no—
230C2×D4×C103—81no—
231C2×D4×C103—81no—
232C2×D4×C103—81no—
233C2×D4×C103—81no—
234C2×D4×C103—81no—
235C2×D4×C103—81no—
236C2×D4×C103C2×D411yescharacteristic
237C22×C4×C103—21no—
238C22×C4×C103—21no—
239C22×C4×C103—21no—
240C22×C4×C103—21no—
241C22×C4×C103—21no—
242C22×C4×C103—21no—
243C22×C4×C103—21no—
244C22×C4×C103—21no—
245C22×C4×C103—21no—
246C22×C4×C103—21no—
247C22×C4×C103—81no—
248C22×C4×C103C2×D411yescharacteristic
249C22×C4×C103C2×D411yescharacteristic
250C22×C4×C103C2×D411yescharacteristic
251C22×C4×C103C2×D411yescharacteristic
252C22×C4×C103C2×D411yescharacteristic
253C22×C4×C103C2×D411yescharacteristic
254C22×C4×C103C2×D411yescharacteristic
255C22×C4×C103C2×D411yescharacteristic
256C22×C4×C103C2411yescharacteristic
257SD16×C103—81no—
258SD16×C103—81no—
259SD16×C103—81no—
260D8×C103—81no—
261M16×C103—81no—
262C2×C8×C103—21no—
263C2×C8×C103—21no—
264C2×C8×C103—21no—
265C2×C8×C103—21no—
266C2×C8×C103—81no—
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×C103—21no—
275C4⋊C4×C103—21no—
276C4⋊C4×C103—21no—
277C4⋊C4×C103—21no—
278C4⋊C4×C103—21no—
279C4⋊C4×C103—21no—
280C4⋊C4×C103—21no—
281C4⋊C4×C103—21no—
282C4⋊C4×C103—21no—
283C4⋊C4×C103—21no—
284C4⋊C4×C103—21no—
285C4⋊C4×C103—21no—
286C4⋊C4×C103—21no—
287C4⋊C4×C103—21no—
288C4⋊C4×C103—21no—
289C4⋊C4×C103—21no—
290C4⋊C4×C103—21no—
291C4⋊C4×C103—21no—
292C4⋊C4×C103—81no—
293C4⋊C4×C103—81no—
294C4⋊C4×C103C2×D411yescharacteristic
295C4⋊C4×C103C2×D411yescharacteristic
296C4⋊C4×C103C2×D411yescharacteristic
297C4⋊C4×C103C2×D411yescharacteristic
298C22⋊C4×C103—21no—
299C22⋊C4×C103—21no—
300C22⋊C4×C103—21no—
301C22⋊C4×C103—21no—
302C22⋊C4×C103—21no—
303C22⋊C4×C103—21no—
304C22⋊C4×C103—21no—
305C22⋊C4×C103—21no—
306C22⋊C4×C103—21no—
307C22⋊C4×C103—21no—
308C22⋊C4×C103—21no—
309C22⋊C4×C103—21no—
310C22⋊C4×C103—21no—
311C22⋊C4×C103—21no—
312C22⋊C4×C103—21no—
313C22⋊C4×C103—21no—
314C22⋊C4×C103—21no—
315C22⋊C4×C103—21no—
316C22⋊C4×C103—21no—
317C22⋊C4×C103—21no—
318C22⋊C4×C103—21no—
319C22⋊C4×C103—21no—
320C22⋊C4×C103—21no—
321C22⋊C4×C103—41no—
322C22⋊C4×C103—41no—
323C22⋊C4×C103—81no—
324C22⋊C4×C103—81no—
325C22⋊C4×C103—81no—
326C22⋊C4×C103—81no—
327C22⋊C4×C103—81no—
328C42×C103—21no—
329C42×C103—21no—
330C42×C103—21no—
331C42×C103—21no—
332C42×C103—21no—
333C23×C103—21no—
334C23×C103—21no—
335C23×C103—21no—
336C23×C103—21no—
337C23×C103—21no—
338C23×C103—21no—
339C23×C103—41no—
340C23×C103—41no—
341C23×C103—41no—
342C23×C103—41no—
343C23×C103—41no—
344C23×C103—41no—
345C23×C103—41no—
346C23×C103—41no—
347C23×C103—41no—
348C23×C103—41no—
349C23×C103—41no—
350C23×C103#12011yescharacteristic
351C23×C103#12011yescharacteristic
352C23×C103C22×D411yescharacteristic
353Q8×C103—41no—
354Q8×C103—41no—
355Q8×C103—41no—
356Q8×C103—81no—
357Q8×C103—81no—
358Q8×C103—81no—
359D4×C103—41no—
360D4×C103—41no—
361D4×C103—41no—
362D4×C103—41no—
363D4×C103—41no—
364D4×C103—42no—
365D4×C103—42no—
366D4×C103—41no—
367D4×C103—41no—
368D4×C103—81no—
369D4×C103—81no—
370D4×C103—81no—
371D4×C103—81no—
372D4×C103—82no—
373D4×C103—82no—
374D4×C103—84no—
375C2×C4×C103—21no—
376C2×C4×C103—21no—
377C2×C4×C103—21no—
378C2×C4×C103—21no—
379C2×C4×C103—21no—
380C2×C4×C103—21no—
381C2×C4×C103—21no—
382C2×C4×C103—21no—
383C2×C4×C103—21no—
384C2×C4×C103—21no—
385C2×C4×C103—21no—
386C2×C4×C103—21no—
387C2×C4×C103—41no—
388C2×C4×C103—41no—
389C2×C4×C103—41no—
390C2×C4×C103—41no—
391C2×C4×C103—41no—
392C2×C4×C103—41no—
393C2×C4×C103—42no—
394C2×C4×C103—41no—
395C2×C4×C103—41no—
396C2×C4×C103—41no—
397C2×C4×C103—41no—
398C2×C4×C103—41no—
399C2×C4×C103—41no—
400C2×C4×C103—41no—
401C2×C4×C103—41no—
402C2×C4×C103—41no—
403C2×C4×C103—41no—
404C2×C4×C103—41no—
405C2×C4×C103—81no—
406C2×C4×C103—81no—
407C2×C4×C103—81no—
408C2×C4×C103—81no—
409C2×C4×C103—81no—
410C2×C4×C103—81no—
411C2×C4×C103#12011yescharacteristic
412C2×C4×C103#12011yescharacteristic
413C2×C4×C103C22×D411yescharacteristic
414C2×C4×C103C22×D411yescharacteristic
415C8×C103—41no—
416C8×C103—41no—
417C8×C103—41no—
418C8×C103—41no—
419C22×C103—21no—
420C22×C103—21no—
421C22×C103—21no—
422C22×C103—21no—
423C22×C103—21no—
424C22×C103—21no—
425C22×C103—21no—
426C22×C103—21no—
427C22×C103—41no—
428C22×C103—41no—
429C22×C103—41no—
430C22×C103—41no—
431C22×C103—41no—
432C22×C103—41no—
433C22×C103—81no—
434C22×C103—81no—
435C22×C103—81no—
436C22×C103—81no—
437C22×C103—81no—
438C22×C103—81no—
439C22×C103—81no—
440C22×C103—81no—
441C22×C103—81no—
442C22×C103—81no—
443C22×C103—81no—
444C22×C103C2×#12011yescharacteristic
445C22×C103#57711yescharacteristic
446C22×C103#57811yescharacteristic
447C4×C103—21no—
448C4×C103—21no—
449C4×C103—21no—
450C4×C103—21no—
451C4×C103—41no—
452C4×C103—41no—
453C4×C103—41no—
454C4×C103—41no—
455C4×C103—41no—
456C4×C103—41no—
457C4×C103—41no—
458C4×C103—41no—
459C4×C103—41no—
460C4×C103—41no—
461C4×C103—81no—
462C4×C103—81no—
463C4×C103—81no—
464#18448C10311yesmaximal, characteristic, direct product factor, Sylow
465C2×C103—21no—
466C2×C103—21no—
467C2×C103—41no—
468C2×C103—41no—
469C2×C103—81no—
470C2×C103—81no—
471C2×C103—161no—
472C2×C103#301311yescharacteristic
473C2×C103#302111yescharacteristic
474C2×C103#302611yescharacteristic
475#3535C2×C10311yescharacteristic, complemented
476#3193C2×C10311yescharacteristic, complemented
477#3188C2×C10311yescharacteristic, complemented
478#2813C2×C10311yescharacteristic, complemented
479#1618C2×C10311yescharacteristic, complemented
480#1617C2×C10311yescharacteristic, complemented
481#1615C2×C10311yescharacteristic, complemented
482#1614C2×C10311yescharacteristic, complemented
483#1600C2×C10311yescharacteristic, complemented
484#1599C2×C10311yescharacteristic, complemented
485#1597C2×C10311yescharacteristic, complemented
486#1596C2×C10311yescharacteristic, complemented
487#1520C2×C10311yescharacteristic, complemented
488#1513C2×C10311yescharacteristic, complemented
489#1468C2×C10311yescharacteristic, complemented
490C103#1844811yescharacteristic, direct product factor, Sylow
491#563—21no—
492#562—21no—
493#554—21no—
494#552—21no—
495#551—21no—
496#551—21no—
497#547—21no—
498#546—21no—
499#544C22×C10311yescharacteristic
500#543C22×C10311yescharacteristic
501#542—21no—
502#539—21no—
503#539—21no—
504#539C22×C10311yescharacteristic
505#538C22×C10311yescharacteristic
506#536—21no—
507#525C22×C10311yescharacteristic
508C2×#123C22×C10311yescharacteristic
509C2×C22⋊Q8C22×C10311yescharacteristic
510C2×#121C22×C10311yescharacteristic
511#484C22×C10311yescharacteristic
512#484C22×C10311yescharacteristic
513#484C22×C10311yescharacteristic
514#482—21no—
515#481C22×C10311yescharacteristic
516#480—21no—
517#468—21no—
518#468—21no—
519#466—21no—
520#465—21no—
521#450C22×C10311yescharacteristic
522#450C22×C10311yescharacteristic
523#450C22×C10311yescharacteristic
524#449—21no—
525#448—21no—
526#447C22×C10311yescharacteristic
527#407C22×C10311yescharacteristic
528C2×C22⋊C8C22×C10311yescharacteristic
529#400C22×C10311yescharacteristic
530#399C22×C10311yescharacteristic
531#396—21no—
532#394—21no—
533#394—21no—
534#394C22×C10311yescharacteristic
535#392—21no—
536#392C22×C10311yescharacteristic
537#380C22×C10311yescharacteristic
538#328C22×C10311yescharacteristic
539#328C22×C10311yescharacteristic
540#328C22×C10311yescharacteristic
541#328C22×C10311yescharacteristic
542#328C22×C10311yescharacteristic
543#328C22×C10311yescharacteristic
544#327C22×C10311yescharacteristic
545#327C22×C10311yescharacteristic
546#324C22×C10311yescharacteristic
547#324C22×C10311yescharacteristic
548#323C22×C10311yescharacteristic
549#323C22×C10311yescharacteristic
550C2×#41—21no—
551C2×#41D4×C10311yescharacteristic, complemented
552C22×Q8D4×C10311yescharacteristic, complemented
553C22×D4—21no—
554C22×D4—21no—
555C22×D4D4×C10311yescharacteristic
556C22×D4C23×C10311yescharacteristic
557C23×C4C23×C10311yescharacteristic
558C2×SD16—21no—
559C2×SD16—21no—
560C2×SD16—21no—
561C2×D8—21no—
562C2×M16—21no—
563C22×C8—21no—
564C4⋊Q8—21no—
565C4⋊Q8—21no—
566C4⋊Q8—21no—
567#126—21no—
568#126—21no—
569#126—21no—
570#126—21no—
571#126—21no—
572#126—21no—
573#125—21no—
574#125—21no—
575#125—21no—
576#125—21no—
577#125—21no—
578#124—21no—
579#124—21no—
580#124—21no—
581#124—21no—
582#123—21no—
583#123—21no—
584#123—21no—
585#123—21no—
586#123—21no—
587#123—21no—
588#123—21no—
589#123—21no—
590#123—21no—
591#123—21no—
592#123—21no—
593#123—21no—
594#123—21no—
595#123—21no—
596C22⋊Q8—21no—
597C22⋊Q8—21no—
598C22⋊Q8—21no—
599C22⋊Q8—21no—
600C22⋊Q8—21no—
601C22⋊Q8—21no—
602C22⋊Q8—21no—
603C22⋊Q8—21no—
604C22⋊Q8—21no—
605C22⋊Q8—21no—
606C22⋊Q8—21no—
607C22⋊Q8—21no—
608C22⋊Q8—21no—
609C22⋊Q8—21no—
610C22⋊Q8D4×C10311yescharacteristic, complemented
611C22⋊Q8D4×C10311yescharacteristic, complemented
612C22⋊Q8D4×C10311yescharacteristic, complemented
613C22⋊Q8C23×C10311yescharacteristic
614C22⋊Q8C23×C10311yescharacteristic
615C22⋊Q8C23×C10311yescharacteristic
616#121—21no—
617#121—21no—
618#121—21no—
619#121—21no—
620#121—21no—
621#121—21no—
622#121—21no—
623#121—21no—
624#121D4×C10311yescharacteristic, complemented
625#121C23×C10311yescharacteristic
626#120—21no—
627#120—21no—
628C4×Q8—21no—
629C4×D4—21no—
630C4×D4—21no—
631C4×D4—21no—
632C4×D4—21no—
633C4×D4—21no—
634C4×D4—21no—
635C4×D4—21no—
636#117—21no—
637#117—21no—
638#117—21no—
639#117D4×C10311yescharacteristic, complemented
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4D4×C10311yescharacteristic
645C2×C4⋊C4D4×C10311yescharacteristic, complemented
646C2×C4⋊C4C23×C10311yescharacteristic
647C2×C4⋊C4C23×C10311yescharacteristic
648C2×C22⋊C4—21no—
649C2×C22⋊C4—21no—
650C2×C22⋊C4—21no—
651C2×C22⋊C4—21no—
652C2×C22⋊C4—21no—
653C2×C22⋊C4—21no—
654C2×C22⋊C4—21no—
655C2×C22⋊C4—21no—
656C2×C22⋊C4D4×C10311yescharacteristic
657C2×C22⋊C4D4×C10311yescharacteristic
658C2×C22⋊C4C23×C10311yescharacteristic
659#107—21no—
660#107—21no—
661#107—21no—
662#106—21no—
663#103—21no—
664#103—21no—
665#103—21no—
666#102—21no—
667#102—21no—
668#102—21no—
669#102—21no—
670#102—21no—
671C22⋊C8—21no—
672C22⋊C8—21no—
673C22⋊C8C23×C10311yescharacteristic
674C22⋊C8C23×C10311yescharacteristic
675C22⋊C8C23×C10311yescharacteristic
676C22⋊C8C23×C10311yescharacteristic
677#95—21no—
678#95—21no—
679#95C23×C10311yescharacteristic
680#95C23×C10311yescharacteristic
681C24—21no—
682C24C2×D4×C10311yescharacteristic
683C24C2×D4×C10311yescharacteristic
684#41—82no—
685#41—81no—
686C2×Q8—21no—
687C2×Q8—21no—
688C2×Q8—21no—
689C2×Q8—81no—
690C2×Q8C2×D4×C10311yescharacteristic
691C2×Q8C2×D4×C10311yescharacteristic
692C2×Q8C2×D4×C10311yescharacteristic
693C2×D4—21no—
694C2×D4—21no—
695C2×D4—21no—
696C2×D4—21no—
697C2×D4—21no—
698C2×D4—21no—
699C2×D4—21no—
700C2×D4—21no—
701C2×D4—21no—
702C2×D4—41no—
703C2×D4—41no—
704C2×D4—81no—
705C2×D4—81no—
706C2×D4—81no—
707C2×D4—81no—
708C2×D4—81no—
709C2×D4—81no—
710C2×D4—81no—
711C2×D4C2×D4×C10311yescharacteristic
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—81no—
723C22×C4C2×D4×C10311yescharacteristic
724C22×C4C2×D4×C10311yescharacteristic
725C22×C4C2×D4×C10311yescharacteristic
726C22×C4C2×D4×C10311yescharacteristic
727C22×C4C2×D4×C10311yescharacteristic
728C22×C4C2×D4×C10311yescharacteristic
729C22×C4C2×D4×C10311yescharacteristic
730C22×C4C2×D4×C10311yescharacteristic
731C22×C4C24×C10311yescharacteristic
732SD16—81no—
733SD16—81no—
734SD16—81no—
735D8—81no—
736M16—81no—
737C2×C8—21no—
738C2×C8—21no—
739C2×C8—21no—
740C2×C8—21no—
741C2×C8—81no—
742C4⋊C4—21no—
743C4⋊C4—21no—
744C4⋊C4—21no—
745C4⋊C4—21no—
746C4⋊C4—21no—
747C4⋊C4—21no—
748C4⋊C4—21no—
749C4⋊C4—21no—
750C4⋊C4—21no—
751C4⋊C4—21no—
752C4⋊C4—21no—
753C4⋊C4—21no—
754C4⋊C4—21no—
755C4⋊C4—21no—
756C4⋊C4—21no—
757C4⋊C4—21no—
758C4⋊C4—21no—
759C4⋊C4—21no—
760C4⋊C4—21no—
761C4⋊C4—21no—
762C4⋊C4—21no—
763C4⋊C4—21no—
764C4⋊C4—21no—
765C4⋊C4—21no—
766C4⋊C4—21no—
767C4⋊C4—81no—
768C4⋊C4—81no—
769C4⋊C4C2×D4×C10311yescharacteristic
770C4⋊C4C2×D4×C10311yescharacteristic
771C4⋊C4C2×D4×C10311yescharacteristic
772C4⋊C4C2×D4×C10311yescharacteristic
773C22⋊C4—21no—
774C22⋊C4—21no—
775C22⋊C4—21no—
776C22⋊C4—21no—
777C22⋊C4—21no—
778C22⋊C4—21no—
779C22⋊C4—21no—
780C22⋊C4—21no—
781C22⋊C4—21no—
782C22⋊C4—21no—
783C22⋊C4—21no—
784C22⋊C4—21no—
785C22⋊C4—21no—
786C22⋊C4—21no—
787C22⋊C4—21no—
788C22⋊C4—21no—
789C22⋊C4—21no—
790C22⋊C4—21no—
791C22⋊C4—21no—
792C22⋊C4—21no—
793C22⋊C4—21no—
794C22⋊C4—21no—
795C22⋊C4—21no—
796C22⋊C4—41no—
797C22⋊C4—41no—
798C22⋊C4—81no—
799C22⋊C4—81no—
800C22⋊C4—81no—
801C22⋊C4—81no—
802C22⋊C4—81no—
803C42—21no—
804C42—21no—
805C42—21no—
806C42—21no—
807C42—21no—
808C23—21no—
809C23—21no—
810C23—21no—
811C23—21no—
812C23—21no—
813C23—21no—
814C23—41no—
815C23—41no—
816C23—41no—
817C23—41no—
818C23—41no—
819C23—41no—
820C23—41no—
821C23—41no—
822C23—41no—
823C23—41no—
824C23—41no—
825C23#120×C10311yescharacteristic
826C23#120×C10311yescharacteristic
827C23C22×D4×C10311yescharacteristic
828Q8—41no—
829Q8—41no—
830Q8—41no—
831Q8—81no—
832Q8—81no—
833Q8—81no—
834D4—41no—
835D4—41no—
836D4—41no—
837D4—41no—
838D4—41no—
839D4—42no—
840D4—42no—
841D4—41no—
842D4—41no—
843D4—81no—
844D4—81no—
845D4—81no—
846D4—81no—
847D4—82no—
848D4—82no—
849D4—84no—
850C2×C4—21no—
851C2×C4—21no—
852C2×C4—21no—
853C2×C4—21no—
854C2×C4—21no—
855C2×C4—21no—
856C2×C4—21no—
857C2×C4—21no—
858C2×C4—21no—
859C2×C4—21no—
860C2×C4—21no—
861C2×C4—21no—
862C2×C4—41no—
863C2×C4—41no—
864C2×C4—41no—
865C2×C4—41no—
866C2×C4—41no—
867C2×C4—41no—
868C2×C4—42no—
869C2×C4—41no—
870C2×C4—41no—
871C2×C4—41no—
872C2×C4—41no—
873C2×C4—41no—
874C2×C4—41no—
875C2×C4—41no—
876C2×C4—41no—
877C2×C4—41no—
878C2×C4—41no—
879C2×C4—41no—
880C2×C4—81no—
881C2×C4—81no—
882C2×C4—81no—
883C2×C4—81no—
884C2×C4—81no—
885C2×C4—81no—
886C2×C4#120×C10311yescharacteristic
887C2×C4#120×C10311yescharacteristic
888C2×C4C22×D4×C10311yescharacteristic
889C2×C4C22×D4×C10311yescharacteristic
890C8—41no—
891C8—41no—
892C8—41no—
893C8—41no—
894C22—21no—
895C22—21no—
896C22—21no—
897C22—21no—
898C22—21no—
899C22—21no—
900C22—21no—
901C22—21no—
902C22—41no—
903C22—41no—
904C22—41no—
905C22—41no—
906C22—41no—
907C22—41no—
908C22—81no—
909C22—81no—
910C22—81no—
911C22—81no—
912C22—81no—
913C22—81no—
914C22—81no—
915C22—81no—
916C22—81no—
917C22—81no—
918C22—81no—
919C22C2×#120×C10311yescharacteristic
920C22#577×C10311yescharacteristic
921C22#578×C10311yescharacteristic
922C4—21no—
923C4—21no—
924C4—21no—
925C4—21no—
926C4—41no—
927C4—41no—
928C4—41no—
929C4—41no—
930C4—41no—
931C4—41no—
932C4—41no—
933C4—41no—
934C4—41no—
935C4—41no—
936C4—81no—
937C4—81no—
938C4—81no—
939C2—21no—
940C2—21no—
941C2—41no—
942C2—41no—
943C2—81no—
944C2—81no—
945C2—161no—
946C2C103×#301311yescharacteristic
947C2C103×#302111yescharacteristic
948C2C103×#302611yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC22×C4C24×C103
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C103 ◁ C23×C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3535C2semidirect
2. C103×#3193C2semidirect
3. C103×#3188C2semidirect
4. C103×#2813C2semidirect
5. C103×#1618C2semidirect
6. C103×#1617C2semidirect
7. C103×#1615C2semidirect
8. C103×#1614C2semidirect
9. C103×#1600C2semidirect
10. C103×#1599C2semidirect
11. C103×#1597C2semidirect
12. C103×#1596C2semidirect
13. C103×#1520C2semidirect
14. C103×#1513C2semidirect
15. C103×#1468C2semidirect
76. C2×#41×C103D4semidirect
77. C22×Q8×C103D4semidirect
135. C22⋊Q8×C103D4semidirect
136. C22⋊Q8×C103D4semidirect
137. C22⋊Q8×C103D4semidirect
149. #121×C103D4semidirect
164. #117×C103D4semidirect
170. C2×C4⋊C4×C103D4semidirect
464. #18448C103direct (N × H)
475. #3535C2×C103semidirect
476. #3193C2×C103semidirect
477. #3188C2×C103semidirect
478. #2813C2×C103semidirect
479. #1618C2×C103semidirect
480. #1617C2×C103semidirect
481. #1615C2×C103semidirect
482. #1614C2×C103semidirect
483. #1600C2×C103semidirect
484. #1599C2×C103semidirect
485. #1597C2×C103semidirect
486. #1596C2×C103semidirect
487. #1520C2×C103semidirect
488. #1513C2×C103semidirect
489. #1468C2×C103semidirect
490. C103#18448direct (N × H)
551. C2×#41D4×C103semidirect
552. C22×Q8D4×C103semidirect
610. C22⋊Q8D4×C103semidirect
611. C22⋊Q8D4×C103semidirect
612. C22⋊Q8D4×C103semidirect
624. #121D4×C103semidirect
639. #117D4×C103semidirect
645. C2×C4⋊C4D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35352
C103×#31932
C103×#31882
C103×#28132
C103×#16182
C103×#16172
C103×#16152
C103×#16142
C103×#16002
C103×#15992
C103×#15972
C103×#15962
C103×#15202
C103×#15132
C103×#14682
#18448103