Finite Group Databasebeta

← C103×#18262 #39923537

Subgroups — C103×#18262 #39923537

Order 26368.

1012 conjugacy classes of subgroups.

The subgroup lattice has 956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3534C211yesmaximal, characteristic
2C103×#3094C211yesmaximal, characteristic, complemented
3C103×#3091C211yesmaximal, characteristic, complemented
4C103×#2498C211yesmaximal, characteristic, complemented
5C103×#1618C211yesmaximal, characteristic, complemented
6C103×#1616C211yesmaximal, characteristic, complemented
7C103×#1615C211yesmaximal, characteristic, complemented
8C103×#1613C211yesmaximal, characteristic, complemented
9C103×#1612C211yesmaximal, characteristic, complemented
10C103×#1610C211yesmaximal, characteristic, complemented
11C103×#1609C211yesmaximal, characteristic, complemented
12C103×#1607C211yesmaximal, characteristic, complemented
13C103×#1504C211yesmaximal, characteristic, complemented
14C2×#327×C103C211yesmaximal, characteristic, complemented
15C103×#1468C211yesmaximal, characteristic, complemented
16#562×C103—21no—
17#560×C103—21no—
18#553×C103—21no—
19#551×C103—21no—
20#546×C103—21no—
21#546×C103—21no—
22#546×C103—21no—
23D42×C103—21no—
24#540×C103—21no—
25#539×C103—21no—
26#539×C103C2211yescharacteristic
27#538×C103—21no—
28#538×C103C2211yescharacteristic
29#537×C103C2211yescharacteristic
30#534×C103—21no—
31#534×C103C2211yescharacteristic
32#525×C103C2211yescharacteristic
33C2×#123×C103C2211yescharacteristic
34C2×#121×C103C2211yescharacteristic
35C2×#117×C103C2211yescharacteristic, complemented
36#485×C103—21no—
37#484×C103C2211yescharacteristic, complemented
38#483×C103C2211yescharacteristic, complemented
39#482×C103—21no—
40#482×C103—21no—
41#482×C103—21no—
42#481×C103C2211yescharacteristic
43#481×C103C2211yescharacteristic, complemented
44#481×C103C2211yescharacteristic, complemented
45#480×C103C2211yescharacteristic
46#480×C103C2211yescharacteristic, complemented
47#480×C103C2211yescharacteristic, complemented
48#428×C103—21no—
49#427×C103—21no—
50#418×C103—21no—
51#416×C103—21no—
52#407×C103C2211yescharacteristic, complemented
53C2×C22⋊C8×C103C2211yescharacteristic, complemented
54#400×C103C2211yescharacteristic, complemented
55#399×C103C2211yescharacteristic, complemented
56#398×C103C2211yescharacteristic, complemented
57#397×C103C2211yescharacteristic, complemented
58#388×C103—21no—
59#387×C103—21no—
60#386×C103—21no—
61#380×C103—21no—
62C2×#95×C103C2211yescharacteristic, complemented
63#328×C103C2211yescharacteristic, complemented
64#328×C103C2211yescharacteristic, complemented
65#327×C103C2211yescharacteristic
66#327×C103C2211yescharacteristic
67#327×C103C2211yescharacteristic, complemented
68#327×C103C2211yescharacteristic, complemented
69#327×C103C2211yescharacteristic, complemented
70#327×C103C2211yescharacteristic, complemented
71#324×C103C2211yescharacteristic, complemented
72#324×C103C2211yescharacteristic, complemented
73#323×C103C2211yescharacteristic, complemented
74#323×C103C2211yescharacteristic, complemented
75C2×#41×C103—21no—
76C2×#41×C103D411yescharacteristic
77C22×D4×C103—21no—
78C22×D4×C103—21no—
79C22×D4×C103—21no—
80C22×D4×C103D411yescharacteristic
81C22×D4×C103D411yescharacteristic
82C23×C4×C103—21no—
83C23×C4×C103C2311yescharacteristic
84C2×M16×C103—21no—
85C22×C8×C103—21no—
86#127×C103—21no—
87#126×C103—21no—
88#126×C103—21no—
89#126×C103—21no—
90#126×C103—21no—
91#125×C103—21no—
92#125×C103—21no—
93#124×C103—21no—
94#124×C103—21no—
95#124×C103—21no—
96#123×C103—21no—
97#123×C103—21no—
98#123×C103—21no—
99#123×C103—21no—
100#123×C103—21no—
101#123×C103—21no—
102#123×C103—21no—
103#123×C103—21no—
104#123×C103—21no—
105#123×C103—21no—
106#123×C103—21no—
107#123×C103—21no—
108#123×C103—21no—
109#123×C103—21no—
110C22⋊Q8×C103—21no—
111C22⋊Q8×C103—21no—
112C22⋊Q8×C103—21no—
113C22⋊Q8×C103—21no—
114C22⋊Q8×C103—21no—
115C22⋊Q8×C103D411yescharacteristic
116C22⋊Q8×C103C2311yescharacteristic
117#121×C103—21no—
118#121×C103—21no—
119#121×C103—21no—
120#121×C103—21no—
121#121×C103—21no—
122#121×C103—21no—
123#121×C103—21no—
124#121×C103—21no—
125#121×C103—21no—
126#121×C103—21no—
127#121×C103—21no—
128#121×C103—21no—
129#121×C103—21no—
130#121×C103—21no—
131#121×C103—21no—
132#121×C103D411yescharacteristic
133#121×C103D411yescharacteristic
134#121×C103D411yescharacteristic
135#121×C103C2311yescharacteristic
136#121×C103C2311yescharacteristic
137#121×C103C2311yescharacteristic
138#120×C103—21no—
139#120×C103—21no—
140#120×C103—21no—
141#120×C103—21no—
142#120×C103—21no—
143#120×C103—21no—
144#120×C103—21no—
145#120×C103—21no—
146C4×D4×C103—21no—
147C4×D4×C103—21no—
148C4×D4×C103—21no—
149C4×D4×C103—21no—
150C4×D4×C103—21no—
151C4×D4×C103—21no—
152C4×D4×C103—21no—
153C4×D4×C103—21no—
154#117×C103—21no—
155#117×C103—21no—
156#117×C103—21no—
157#117×C103—21no—
158#117×C103—21no—
159#117×C103D411yescharacteristic
160C2×C4⋊C4×C103—21no—
161C2×C4⋊C4×C103—21no—
162C2×C4⋊C4×C103D411yescharacteristic
163C2×C4⋊C4×C103D411yescharacteristic
164C2×C4⋊C4×C103C2311yescharacteristic
165C2×C4⋊C4×C103C2311yescharacteristic
166C2×C4⋊C4×C103C2311yescharacteristic
167C2×C22⋊C4×C103—21no—
168C2×C22⋊C4×C103—21no—
169C2×C22⋊C4×C103—21no—
170C2×C22⋊C4×C103—21no—
171C2×C22⋊C4×C103—21no—
172C2×C22⋊C4×C103—21no—
173C2×C22⋊C4×C103D411yescharacteristic
174C2×C22⋊C4×C103D411yescharacteristic
175C2×C22⋊C4×C103C2311yescharacteristic
176C2×C42×C103—21no—
177#107×C103—21no—
178#107×C103—21no—
179#107×C103—21no—
180#107×C103—21no—
181#106×C103—21no—
182#106×C103—21no—
183#106×C103—21no—
184#106×C103—21no—
185#103×C103—21no—
186#103×C103—21no—
187#102×C103—21no—
188#102×C103—21no—
189#102×C103—21no—
190#102×C103—21no—
191#102×C103—21no—
192#102×C103—21no—
193C22⋊C8×C103—21no—
194C22⋊C8×C103—21no—
195C22⋊C8×C103C2311yescharacteristic
196C22⋊C8×C103C2311yescharacteristic
197C22⋊C8×C103C2311yescharacteristic
198C22⋊C8×C103C2311yescharacteristic
199#95×C103—21no—
200#95×C103—21no—
201#95×C103—21no—
202#95×C103—21no—
203#95×C103—21no—
204#95×C103C2311yescharacteristic
205#95×C103C2311yescharacteristic
206C24×C103—21no—
207C24×C103—21no—
208C24×C103C2×D411yescharacteristic
209C24×C103C2×D411yescharacteristic
210#41×C103—42no—
211#41×C103—81no—
212#41×C103—81no—
213C2×Q8×C103—21no—
214C2×Q8×C103C2×D411yescharacteristic
215C2×D4×C103—21no—
216C2×D4×C103—21no—
217C2×D4×C103—21no—
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—21no—
228C2×D4×C103—21no—
229C2×D4×C103—21no—
230C2×D4×C103—21no—
231C2×D4×C103—21no—
232C2×D4×C103—42no—
233C2×D4×C103—42no—
234C2×D4×C103—81no—
235C2×D4×C103—81no—
236C2×D4×C103—81no—
237C2×D4×C103—81no—
238C2×D4×C103—82no—
239C2×D4×C103C2×D411yescharacteristic
240C2×D4×C103C2×D411yescharacteristic
241C2×D4×C103C2×D411yescharacteristic
242C22×C4×C103—21no—
243C22×C4×C103—21no—
244C22×C4×C103—21no—
245C22×C4×C103—21no—
246C22×C4×C103—21no—
247C22×C4×C103—21no—
248C22×C4×C103—21no—
249C22×C4×C103—21no—
250C22×C4×C103—21no—
251C22×C4×C103—21no—
252C22×C4×C103—21no—
253C22×C4×C103—42no—
254C22×C4×C103—42no—
255C22×C4×C103—42no—
256C22×C4×C103—81no—
257C22×C4×C103C2×D411yescharacteristic
258C22×C4×C103C2×D411yescharacteristic
259C22×C4×C103C2×D411yescharacteristic
260C22×C4×C103C2×D411yescharacteristic
261C22×C4×C103C2×D411yescharacteristic
262C22×C4×C103C2×D411yescharacteristic
263C22×C4×C103C2×D411yescharacteristic
264C22×C4×C103C2×D411yescharacteristic
265C22×C4×C103C2411yescharacteristic
266M16×C103—42no—
267C2×C8×C103—21no—
268C2×C8×C103—21no—
269C2×C8×C103—21no—
270C2×C8×C103—21no—
271C2×C8×C103—42no—
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—42no—
290C4⋊C4×C103—81no—
291C4⋊C4×C103C2×D411yescharacteristic
292C4⋊C4×C103C2×D411yescharacteristic
293C4⋊C4×C103C2×D411yescharacteristic
294C4⋊C4×C103C2×D411yescharacteristic
295C22⋊C4×C103—21no—
296C22⋊C4×C103—21no—
297C22⋊C4×C103—21no—
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—42no—
321C22⋊C4×C103—41no—
322C22⋊C4×C103—41no—
323C22⋊C4×C103—81no—
324C42×C103—21no—
325C42×C103—21no—
326C42×C103—21no—
327C42×C103—41no—
328C42×C103—41no—
329C23×C103—21no—
330C23×C103—21no—
331C23×C103—22no—
332C23×C103—21no—
333C23×C103—21no—
334C23×C103—21no—
335C23×C103—21no—
336C23×C103—21no—
337C23×C103—21no—
338C23×C103—41no—
339C23×C103—41no—
340C23×C103—41no—
341C23×C103—42no—
342C23×C103—81no—
343C23×C103—81no—
344C23×C103—81no—
345C23×C103—81no—
346C23×C103—81no—
347C23×C103#12011yescharacteristic
348C23×C103#12011yescharacteristic
349C23×C103C22×D411yescharacteristic
350Q8×C103—41no—
351Q8×C103—81no—
352D4×C103—41no—
353D4×C103—41no—
354D4×C103—41no—
355D4×C103—41no—
356D4×C103—41no—
357D4×C103—41no—
358D4×C103—41no—
359D4×C103—41no—
360D4×C103—41no—
361D4×C103—42no—
362D4×C103—42no—
363D4×C103—81no—
364D4×C103—81no—
365D4×C103—81no—
366D4×C103—81no—
367D4×C103—81no—
368D4×C103—81no—
369D4×C103—81no—
370D4×C103—81no—
371D4×C103—81no—
372D4×C103—81no—
373D4×C103—81no—
374D4×C103—81no—
375C2×C4×C103—22no—
376C2×C4×C103—22no—
377C2×C4×C103—22no—
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—21no—
388C2×C4×C103—41no—
389C2×C4×C103—41no—
390C2×C4×C103—41no—
391C2×C4×C103—41no—
392C2×C4×C103—41no—
393C2×C4×C103—41no—
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—81no—
412C2×C4×C103—84no—
413C2×C4×C103#12011yescharacteristic
414C2×C4×C103#12011yescharacteristic
415C2×C4×C103C22×D411yescharacteristic
416C2×C4×C103C22×D411yescharacteristic
417C8×C103—41no—
418C8×C103—41no—
419C8×C103—41no—
420C8×C103—41no—
421C22×C103—21no—
422C22×C103—21no—
423C22×C103—21no—
424C22×C103—21no—
425C22×C103—21no—
426C22×C103—21no—
427C22×C103—21no—
428C22×C103—42no—
429C22×C103—42no—
430C22×C103—41no—
431C22×C103—41no—
432C22×C103—41no—
433C22×C103—41no—
434C22×C103—41no—
435C22×C103—41no—
436C22×C103—41no—
437C22×C103—41no—
438C22×C103—41no—
439C22×C103—41no—
440C22×C103—41no—
441C22×C103—41no—
442C22×C103—81no—
443C22×C103—81no—
444C22×C103—162no—
445C22×C103—162no—
446C22×C103#45812yes—
447C22×C103C2×#12011yescharacteristic
448C22×C103#57611yescharacteristic
449C22×C103#57711yescharacteristic
450C4×C103—21no—
451C4×C103—21no—
452C4×C103—21no—
453C4×C103—21no—
454C4×C103—42no—
455C4×C103—41no—
456C4×C103—41no—
457C4×C103—41no—
458C4×C103—41no—
459C4×C103—41no—
460C4×C103—41no—
461C4×C103—41no—
462C4×C103—41no—
463C4×C103—81no—
464C4×C103—81no—
465C4×C103—81no—
466#18262C10311yesmaximal, characteristic, direct product factor, Sylow
467C2×C103—21no—
468C2×C103—21no—
469C2×C103—22no—
470C2×C103—41no—
471C2×C103—81no—
472C2×C103—81no—
473C2×C103—81no—
474C2×C103—81no—
475C2×C103#301211yescharacteristic
476C2×C103#301811yescharacteristic
477C2×C103C2×#45811yescharacteristic
478#3534C2×C10311yescharacteristic
479#3094C2×C10311yescharacteristic, complemented
480#3091C2×C10311yescharacteristic, complemented
481#2498C2×C10311yescharacteristic, complemented
482#1618C2×C10311yescharacteristic, complemented
483#1616C2×C10311yescharacteristic, complemented
484#1615C2×C10311yescharacteristic, complemented
485#1613C2×C10311yescharacteristic, complemented
486#1612C2×C10311yescharacteristic, complemented
487#1610C2×C10311yescharacteristic, complemented
488#1609C2×C10311yescharacteristic, complemented
489#1607C2×C10311yescharacteristic, complemented
490#1504C2×C10311yescharacteristic, complemented
491C2×#327C2×C10311yescharacteristic, complemented
492#1468C2×C10311yescharacteristic, complemented
493C103#1826211yescharacteristic, direct product factor, Sylow
494#562—21no—
495#560—21no—
496#553—21no—
497#551—21no—
498#546—21no—
499#546—21no—
500#546—21no—
501D42—21no—
502#540—21no—
503#539—21no—
504#539C22×C10311yescharacteristic
505#538—21no—
506#538C22×C10311yescharacteristic
507#537C22×C10311yescharacteristic
508#534—21no—
509#534C22×C10311yescharacteristic
510#525C22×C10311yescharacteristic
511C2×#123C22×C10311yescharacteristic
512C2×#121C22×C10311yescharacteristic
513C2×#117C22×C10311yescharacteristic, complemented
514#485—21no—
515#484C22×C10311yescharacteristic, complemented
516#483C22×C10311yescharacteristic, complemented
517#482—21no—
518#482—21no—
519#482—21no—
520#481C22×C10311yescharacteristic
521#481C22×C10311yescharacteristic, complemented
522#481C22×C10311yescharacteristic, complemented
523#480C22×C10311yescharacteristic
524#480C22×C10311yescharacteristic, complemented
525#480C22×C10311yescharacteristic, complemented
526#428—21no—
527#427—21no—
528#418—21no—
529#416—21no—
530#407C22×C10311yescharacteristic, complemented
531C2×C22⋊C8C22×C10311yescharacteristic, complemented
532#400C22×C10311yescharacteristic, complemented
533#399C22×C10311yescharacteristic, complemented
534#398C22×C10311yescharacteristic, complemented
535#397C22×C10311yescharacteristic, complemented
536#388—21no—
537#387—21no—
538#386—21no—
539#380—21no—
540C2×#95C22×C10311yescharacteristic, complemented
541#328C22×C10311yescharacteristic, complemented
542#328C22×C10311yescharacteristic, complemented
543#327C22×C10311yescharacteristic
544#327C22×C10311yescharacteristic
545#327C22×C10311yescharacteristic, complemented
546#327C22×C10311yescharacteristic, complemented
547#327C22×C10311yescharacteristic, complemented
548#327C22×C10311yescharacteristic, complemented
549#324C22×C10311yescharacteristic, complemented
550#324C22×C10311yescharacteristic, complemented
551#323C22×C10311yescharacteristic, complemented
552#323C22×C10311yescharacteristic, complemented
553C2×#41—21no—
554C2×#41D4×C10311yescharacteristic
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4D4×C10311yescharacteristic
559C22×D4D4×C10311yescharacteristic
560C23×C4—21no—
561C23×C4C23×C10311yescharacteristic
562C2×M16—21no—
563C22×C8—21no—
564#127—21no—
565#126—21no—
566#126—21no—
567#126—21no—
568#126—21no—
569#125—21no—
570#125—21no—
571#124—21no—
572#124—21no—
573#124—21no—
574#123—21no—
575#123—21no—
576#123—21no—
577#123—21no—
578#123—21no—
579#123—21no—
580#123—21no—
581#123—21no—
582#123—21no—
583#123—21no—
584#123—21no—
585#123—21no—
586#123—21no—
587#123—21no—
588C22⋊Q8—21no—
589C22⋊Q8—21no—
590C22⋊Q8—21no—
591C22⋊Q8—21no—
592C22⋊Q8—21no—
593C22⋊Q8D4×C10311yescharacteristic
594C22⋊Q8C23×C10311yescharacteristic
595#121—21no—
596#121—21no—
597#121—21no—
598#121—21no—
599#121—21no—
600#121—21no—
601#121—21no—
602#121—21no—
603#121—21no—
604#121—21no—
605#121—21no—
606#121—21no—
607#121—21no—
608#121—21no—
609#121—21no—
610#121D4×C10311yescharacteristic
611#121D4×C10311yescharacteristic
612#121D4×C10311yescharacteristic
613#121C23×C10311yescharacteristic
614#121C23×C10311yescharacteristic
615#121C23×C10311yescharacteristic
616#120—21no—
617#120—21no—
618#120—21no—
619#120—21no—
620#120—21no—
621#120—21no—
622#120—21no—
623#120—21no—
624C4×D4—21no—
625C4×D4—21no—
626C4×D4—21no—
627C4×D4—21no—
628C4×D4—21no—
629C4×D4—21no—
630C4×D4—21no—
631C4×D4—21no—
632#117—21no—
633#117—21no—
634#117—21no—
635#117—21no—
636#117—21no—
637#117D4×C10311yescharacteristic
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4D4×C10311yescharacteristic
641C2×C4⋊C4D4×C10311yescharacteristic
642C2×C4⋊C4C23×C10311yescharacteristic
643C2×C4⋊C4C23×C10311yescharacteristic
644C2×C4⋊C4C23×C10311yescharacteristic
645C2×C22⋊C4—21no—
646C2×C22⋊C4—21no—
647C2×C22⋊C4—21no—
648C2×C22⋊C4—21no—
649C2×C22⋊C4—21no—
650C2×C22⋊C4—21no—
651C2×C22⋊C4D4×C10311yescharacteristic
652C2×C22⋊C4D4×C10311yescharacteristic
653C2×C22⋊C4C23×C10311yescharacteristic
654C2×C42—21no—
655#107—21no—
656#107—21no—
657#107—21no—
658#107—21no—
659#106—21no—
660#106—21no—
661#106—21no—
662#106—21no—
663#103—21no—
664#103—21no—
665#102—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#95—21no—
680#95—21no—
681#95—21no—
682#95C23×C10311yescharacteristic
683#95C23×C10311yescharacteristic
684C24—21no—
685C24—21no—
686C24C2×D4×C10311yescharacteristic
687C24C2×D4×C10311yescharacteristic
688#41—42no—
689#41—81no—
690#41—81no—
691C2×Q8—21no—
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—21no—
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—21no—
709C2×D4—21no—
710C2×D4—42no—
711C2×D4—42no—
712C2×D4—81no—
713C2×D4—81no—
714C2×D4—81no—
715C2×D4—81no—
716C2×D4—82no—
717C2×D4C2×D4×C10311yescharacteristic
718C2×D4C2×D4×C10311yescharacteristic
719C2×D4C2×D4×C10311yescharacteristic
720C22×C4—21no—
721C22×C4—21no—
722C22×C4—21no—
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—21no—
726C22×C4—21no—
727C22×C4—21no—
728C22×C4—21no—
729C22×C4—21no—
730C22×C4—21no—
731C22×C4—42no—
732C22×C4—42no—
733C22×C4—42no—
734C22×C4—81no—
735C22×C4C2×D4×C10311yescharacteristic
736C22×C4C2×D4×C10311yescharacteristic
737C22×C4C2×D4×C10311yescharacteristic
738C22×C4C2×D4×C10311yescharacteristic
739C22×C4C2×D4×C10311yescharacteristic
740C22×C4C2×D4×C10311yescharacteristic
741C22×C4C2×D4×C10311yescharacteristic
742C22×C4C2×D4×C10311yescharacteristic
743C22×C4C24×C10311yescharacteristic
744M16—42no—
745C2×C8—21no—
746C2×C8—21no—
747C2×C8—21no—
748C2×C8—21no—
749C2×C8—42no—
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—42no—
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—21no—
797C22⋊C4—21no—
798C22⋊C4—42no—
799C22⋊C4—41no—
800C22⋊C4—41no—
801C22⋊C4—81no—
802C42—21no—
803C42—21no—
804C42—21no—
805C42—41no—
806C42—41no—
807C23—22no—
808C23—21no—
809C23—21no—
810C23—21no—
811C23—21no—
812C23—21no—
813C23—21no—
814C23—21no—
815C23—21no—
816C23—41no—
817C23—41no—
818C23—41no—
819C23—42no—
820C23—81no—
821C23—81no—
822C23—81no—
823C23—81no—
824C23—81no—
825C23#120×C10311yescharacteristic
826C23#120×C10311yescharacteristic
827C23C22×D4×C10311yescharacteristic
828Q8—41no—
829Q8—81no—
830D4—41no—
831D4—41no—
832D4—41no—
833D4—42no—
834D4—42no—
835D4—41no—
836D4—41no—
837D4—41no—
838D4—41no—
839D4—41no—
840D4—41no—
841D4—81no—
842D4—81no—
843D4—81no—
844D4—81no—
845D4—81no—
846D4—81no—
847D4—81no—
848D4—81no—
849D4—81no—
850D4—81no—
851D4—81no—
852D4—81no—
853C2×C4—22no—
854C2×C4—22no—
855C2×C4—22no—
856C2×C4—21no—
857C2×C4—21no—
858C2×C4—21no—
859C2×C4—21no—
860C2×C4—21no—
861C2×C4—21no—
862C2×C4—21no—
863C2×C4—21no—
864C2×C4—21no—
865C2×C4—21no—
866C2×C4—41no—
867C2×C4—41no—
868C2×C4—41no—
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—41no—
881C2×C4—41no—
882C2×C4—41no—
883C2×C4—81no—
884C2×C4—81no—
885C2×C4—81no—
886C2×C4—81no—
887C2×C4—81no—
888C2×C4—81no—
889C2×C4—81no—
890C2×C4—84no—
891C2×C4#120×C10311yescharacteristic
892C2×C4#120×C10311yescharacteristic
893C2×C4C22×D4×C10311yescharacteristic
894C2×C4C22×D4×C10311yescharacteristic
895C8—41no—
896C8—41no—
897C8—41no—
898C8—41no—
899C22—21no—
900C22—21no—
901C22—21no—
902C22—21no—
903C22—21no—
904C22—21no—
905C22—21no—
906C22—42no—
907C22—42no—
908C22—41no—
909C22—41no—
910C22—41no—
911C22—41no—
912C22—41no—
913C22—41no—
914C22—41no—
915C22—41no—
916C22—41no—
917C22—41no—
918C22—41no—
919C22—41no—
920C22—81no—
921C22—81no—
922C22—162no—
923C22—162no—
924C22#458×C10312yes—
925C22C2×#120×C10311yescharacteristic
926C22#576×C10311yescharacteristic
927C22#577×C10311yescharacteristic
928C4—21no—
929C4—21no—
930C4—21no—
931C4—21no—
932C4—42no—
933C4—41no—
934C4—41no—
935C4—41no—
936C4—41no—
937C4—41no—
938C4—41no—
939C4—41no—
940C4—41no—
941C4—81no—
942C4—81no—
943C4—81no—
944C2—21no—
945C2—21no—
946C2—22no—
947C2—41no—
948C2—81no—
949C2—81no—
950C2—81no—
951C2—81no—
952C2C103×#301211yescharacteristic
953C2C103×#301811yescharacteristic
954C2C2×#458×C10311yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC22×C4C24×C103
prime radicalC103×#3534C2
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
2. C103×#3094C2semidirect
3. C103×#3091C2semidirect
4. C103×#2498C2semidirect
5. C103×#1618C2semidirect
6. C103×#1616C2semidirect
7. C103×#1615C2semidirect
8. C103×#1613C2semidirect
9. C103×#1612C2semidirect
10. C103×#1610C2semidirect
11. C103×#1609C2semidirect
12. C103×#1607C2semidirect
13. C103×#1504C2semidirect
14. C2×#327×C103C2semidirect
15. C103×#1468C2semidirect
35. C2×#117×C103C22semidirect
37. #484×C103C22semidirect
38. #483×C103C22semidirect
43. #481×C103C22semidirect
44. #481×C103C22semidirect
46. #480×C103C22semidirect
47. #480×C103C22semidirect
52. #407×C103C22semidirect
53. C2×C22⋊C8×C103C22semidirect
54. #400×C103C22semidirect
55. #399×C103C22semidirect
56. #398×C103C22semidirect
57. #397×C103C22semidirect
62. C2×#95×C103C22semidirect
63. #328×C103C22semidirect
64. #328×C103C22semidirect
67. #327×C103C22semidirect
68. #327×C103C22semidirect
69. #327×C103C22semidirect
70. #327×C103C22semidirect
71. #324×C103C22semidirect
72. #324×C103C22semidirect
73. #323×C103C22semidirect
74. #323×C103C22semidirect
466. #18262C103direct (N × H)
479. #3094C2×C103semidirect
480. #3091C2×C103semidirect
481. #2498C2×C103semidirect
482. #1618C2×C103semidirect
483. #1616C2×C103semidirect
484. #1615C2×C103semidirect
485. #1613C2×C103semidirect
486. #1612C2×C103semidirect
487. #1610C2×C103semidirect
488. #1609C2×C103semidirect
489. #1607C2×C103semidirect
490. #1504C2×C103semidirect
491. C2×#327C2×C103semidirect
492. #1468C2×C103semidirect
493. C103#18262direct (N × H)
513. C2×#117C22×C103semidirect
515. #484C22×C103semidirect
516. #483C22×C103semidirect
521. #481C22×C103semidirect
522. #481C22×C103semidirect
524. #480C22×C103semidirect
525. #480C22×C103semidirect
530. #407C22×C103semidirect
531. C2×C22⋊C8C22×C103semidirect
532. #400C22×C103semidirect
533. #399C22×C103semidirect
534. #398C22×C103semidirect
535. #397C22×C103semidirect
540. C2×#95C22×C103semidirect
541. #328C22×C103semidirect
542. #328C22×C103semidirect
545. #327C22×C103semidirect
546. #327C22×C103semidirect
547. #327C22×C103semidirect
548. #327C22×C103semidirect
549. #324C22×C103semidirect
550. #324C22×C103semidirect
551. #323C22×C103semidirect
552. #323C22×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35342
C103×#30942
C103×#30912
C103×#24982
C103×#16182
C103×#16162
C103×#16152
C103×#16132
C103×#16122
C103×#16102
C103×#16092
C103×#16072
C103×#15042
C2×#327×C1032
C103×#14682
#18262103