Finite Group Databasebeta

← C103×#18447 #39923722

Subgroups — C103×#18447 #39923722

Order 26368.

982 conjugacy classes of subgroups.

The subgroup lattice has 970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3534C211yesmaximal, characteristic
2C103×#3193C211yesmaximal, characteristic, complemented
3C103×#3190C211yesmaximal, characteristic, complemented
4C103×#2814C211yesmaximal, characteristic, complemented
5C103×#1612C211yesmaximal, characteristic, complemented
6C103×#1610C211yesmaximal, characteristic, complemented
7C103×#1609C211yesmaximal, characteristic, complemented
8C103×#1607C211yesmaximal, characteristic, complemented
9C103×#1606C211yesmaximal, characteristic, complemented
10C103×#1604C211yesmaximal, characteristic, complemented
11C103×#1603C211yesmaximal, characteristic, complemented
12C103×#1601C211yesmaximal, characteristic, complemented
13C103×#1519C211yesmaximal, characteristic, complemented
14C103×#1513C211yesmaximal, 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×C22⋊Q8×C103C2211yescharacteristic, complemented
35C2×#121×C103C2211yescharacteristic
36#485×C103—21no—
37#484×C103—21no—
38#483×C103C2211yescharacteristic, complemented
39#480×C103C2211yescharacteristic
40#480×C103C2211yescharacteristic, complemented
41#480×C103C2211yescharacteristic, complemented
42#468×C103—21no—
43#468×C103—21no—
44#467×C103—21no—
45#465×C103—21no—
46#452×C103—21no—
47#451×C103C2211yescharacteristic, complemented
48#450×C103—21no—
49#448×C103C2211yescharacteristic
50#448×C103C2211yescharacteristic, complemented
51#448×C103C2211yescharacteristic, complemented
52#407×C103C2211yescharacteristic, complemented
53C2×C22⋊C8×C103C2211yescharacteristic, complemented
54#398×C103—21no—
55#398×C103C2211yescharacteristic, complemented
56#397×C103—21no—
57#397×C103C2211yescharacteristic, complemented
58#396×C103—21no—
59#395×C103C2211yescharacteristic, complemented
60#394×C103—21no—
61#393×C103C2211yescharacteristic, complemented
62#380×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×Q8×C103C2311yescharacteristic
78C22×D4×C103—21no—
79C22×D4×C103—21no—
80C22×D4×C103—21no—
81C22×D4×C103D411yescharacteristic
82C22×D4×C103D411yescharacteristic
83C23×C4×C103C2311yescharacteristic
84C2×Q16×C103—21no—
85C2×SD16×C103—21no—
86C2×SD16×C103—21no—
87C2×SD16×C103—21no—
88C2×M16×C103—21no—
89C22×C8×C103—21no—
90#127×C103—21no—
91#126×C103—21no—
92#126×C103—21no—
93#126×C103—21no—
94#126×C103—21no—
95#125×C103—21no—
96#125×C103—21no—
97#124×C103—21no—
98#124×C103—21no—
99#124×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—
110#123×C103—21no—
111#123×C103—21no—
112#123×C103—21no—
113#123×C103—21no—
114C22⋊Q8×C103—21no—
115C22⋊Q8×C103—21no—
116C22⋊Q8×C103—21no—
117C22⋊Q8×C103—21no—
118C22⋊Q8×C103—21no—
119C22⋊Q8×C103—21no—
120C22⋊Q8×C103—21no—
121C22⋊Q8×C103—21no—
122C22⋊Q8×C103—21no—
123C22⋊Q8×C103D411yescharacteristic
124C22⋊Q8×C103C2311yescharacteristic
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×C103—21no—
133#121×C103—21no—
134#121×C103—21no—
135#121×C103—21no—
136#121×C103—21no—
137#121×C103—21no—
138#121×C103—21no—
139#121×C103—21no—
140#121×C103D411yescharacteristic
141#121×C103D411yescharacteristic
142#121×C103D411yescharacteristic
143#121×C103C2311yescharacteristic
144#121×C103C2311yescharacteristic
145#121×C103C2311yescharacteristic
146#120×C103—21no—
147#120×C103—21no—
148#120×C103—21no—
149#120×C103—21no—
150#120×C103—21no—
151#120×C103—21no—
152#120×C103—21no—
153#120×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—
161C4×D4×C103—21no—
162#117×C103—21no—
163#117×C103D411yescharacteristic
164C2×C4⋊C4×C103—21no—
165C2×C4⋊C4×C103—21no—
166C2×C4⋊C4×C103—21no—
167C2×C4⋊C4×C103—21no—
168C2×C4⋊C4×C103D411yescharacteristic
169C2×C4⋊C4×C103D411yescharacteristic
170C2×C4⋊C4×C103C2311yescharacteristic
171C2×C4⋊C4×C103C2311yescharacteristic
172C2×C22⋊C4×C103—21no—
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×C103D411yescharacteristic
180C2×C22⋊C4×C103D411yescharacteristic
181C2×C22⋊C4×C103C2311yescharacteristic
182#107×C103—21no—
183#107×C103—21no—
184#107×C103—21no—
185#106×C103—21no—
186#103×C103—21no—
187#103×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—
194C22⋊C8×C103—21no—
195C22⋊C8×C103—21no—
196C22⋊C8×C103C2311yescharacteristic
197C22⋊C8×C103C2311yescharacteristic
198C22⋊C8×C103C2311yescharacteristic
199C22⋊C8×C103C2311yescharacteristic
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—81no—
211#41×C103—81no—
212#41×C103—81no—
213C2×Q8×C103—21no—
214C2×Q8×C103—21no—
215C2×Q8×C103—21no—
216C2×Q8×C103—81no—
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—21no—
228C2×D4×C103—21no—
229C2×D4×C103—21no—
230C2×D4×C103—21no—
231C2×D4×C103—21no—
232C2×D4×C103—21no—
233C2×D4×C103—21no—
234C2×D4×C103—21no—
235C2×D4×C103—81no—
236C2×D4×C103—81no—
237C2×D4×C103—81no—
238C2×D4×C103—81no—
239C2×D4×C103—81no—
240C2×D4×C103—81no—
241C2×D4×C103—82no—
242C2×D4×C103C2×D411yescharacteristic
243C2×D4×C103C2×D411yescharacteristic
244C2×D4×C103C2×D411yescharacteristic
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—21no—
254C22×C4×C103—21no—
255C22×C4×C103—21no—
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
266Q16×C103—81no—
267SD16×C103—81no—
268SD16×C103—81no—
269SD16×C103—81no—
270M16×C103—81no—
271C2×C8×C103—21no—
272C2×C8×C103—21no—
273C2×C8×C103—21no—
274C2×C8×C103—21no—
275C2×C8×C103—81no—
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—41no—
292C4⋊C4×C103—41no—
293C4⋊C4×C103—81no—
294C4⋊C4×C103—81no—
295C4⋊C4×C103—81no—
296C4⋊C4×C103C2×D411yescharacteristic
297C4⋊C4×C103C2×D411yescharacteristic
298C4⋊C4×C103C2×D411yescharacteristic
299C4⋊C4×C103C2×D411yescharacteristic
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—21no—
322C22⋊C4×C103—21no—
323C22⋊C4×C103—21no—
324C22⋊C4×C103—21no—
325C22⋊C4×C103—41no—
326C22⋊C4×C103—41no—
327C22⋊C4×C103—81no—
328C22⋊C4×C103—81no—
329C22⋊C4×C103—81no—
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—21no—
340C23×C103—21no—
341C23×C103—41no—
342C23×C103—41no—
343C23×C103—42no—
344C23×C103—41no—
345C23×C103—41no—
346C23×C103—81no—
347C23×C103—81no—
348C23×C103—81no—
349C23×C103—81no—
350C23×C103—81no—
351C23×C103#12011yescharacteristic
352C23×C103#12011yescharacteristic
353C23×C103C22×D411yescharacteristic
354Q8×C103—41no—
355Q8×C103—41no—
356Q8×C103—41no—
357Q8×C103—41no—
358Q8×C103—41no—
359Q8×C103—81no—
360D4×C103—41no—
361D4×C103—41no—
362D4×C103—41no—
363D4×C103—42no—
364D4×C103—42no—
365D4×C103—41no—
366D4×C103—41no—
367D4×C103—41no—
368D4×C103—41no—
369D4×C103—41no—
370D4×C103—41no—
371D4×C103—81no—
372D4×C103—81no—
373D4×C103—81no—
374D4×C103—81no—
375D4×C103—81no—
376D4×C103—81no—
377D4×C103—81no—
378D4×C103—81no—
379D4×C103—81no—
380D4×C103—81no—
381D4×C103—81no—
382D4×C103—81no—
383C2×C4×C103—21no—
384C2×C4×C103—21no—
385C2×C4×C103—21no—
386C2×C4×C103—21no—
387C2×C4×C103—21no—
388C2×C4×C103—21no—
389C2×C4×C103—21no—
390C2×C4×C103—21no—
391C2×C4×C103—21no—
392C2×C4×C103—21no—
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—41no—
406C2×C4×C103—41no—
407C2×C4×C103—41no—
408C2×C4×C103—41no—
409C2×C4×C103—41no—
410C2×C4×C103—41no—
411C2×C4×C103—41no—
412C2×C4×C103—41no—
413C2×C4×C103—81no—
414C2×C4×C103—81no—
415C2×C4×C103—81no—
416C2×C4×C103—81no—
417C2×C4×C103—81no—
418C2×C4×C103—81no—
419C2×C4×C103—81no—
420C2×C4×C103#12011yescharacteristic
421C2×C4×C103#12011yescharacteristic
422C2×C4×C103C22×D411yescharacteristic
423C2×C4×C103C22×D411yescharacteristic
424C8×C103—41no—
425C8×C103—41no—
426C8×C103—41no—
427C8×C103—41no—
428C22×C103—21no—
429C22×C103—21no—
430C22×C103—21no—
431C22×C103—21no—
432C22×C103—21no—
433C22×C103—21no—
434C22×C103—21no—
435C22×C103—21no—
436C22×C103—41no—
437C22×C103—41no—
438C22×C103—41no—
439C22×C103—41no—
440C22×C103—41no—
441C22×C103—41no—
442C22×C103—41no—
443C22×C103—41no—
444C22×C103—41no—
445C22×C103—41no—
446C22×C103—41no—
447C22×C103—41no—
448C22×C103—81no—
449C22×C103—81no—
450C22×C103—81no—
451C22×C103—81no—
452C22×C103—162no—
453C22×C103—162no—
454C22×C103C2×#12011yescharacteristic
455C22×C103#57611yescharacteristic
456C22×C103#57711yescharacteristic
457C4×C103—21no—
458C4×C103—21no—
459C4×C103—21no—
460C4×C103—21no—
461C4×C103—41no—
462C4×C103—41no—
463C4×C103—41no—
464C4×C103—41no—
465C4×C103—41no—
466C4×C103—41no—
467C4×C103—41no—
468C4×C103—41no—
469C4×C103—81no—
470C4×C103—81no—
471C4×C103—81no—
472C4×C103—81no—
473#18447C10311yesmaximal, characteristic, direct product factor, Sylow
474C2×C103—21no—
475C2×C103—21no—
476C2×C103—41no—
477C2×C103—41no—
478C2×C103—81no—
479C2×C103—81no—
480C2×C103—81no—
481C2×C103—81no—
482C2×C103#301211yescharacteristic
483C2×C103#302211yescharacteristic
484C2×C103#302611yescharacteristic
485#3534C2×C10311yescharacteristic
486#3193C2×C10311yescharacteristic, complemented
487#3190C2×C10311yescharacteristic, complemented
488#2814C2×C10311yescharacteristic, complemented
489#1612C2×C10311yescharacteristic, complemented
490#1610C2×C10311yescharacteristic, complemented
491#1609C2×C10311yescharacteristic, complemented
492#1607C2×C10311yescharacteristic, complemented
493#1606C2×C10311yescharacteristic, complemented
494#1604C2×C10311yescharacteristic, complemented
495#1603C2×C10311yescharacteristic, complemented
496#1601C2×C10311yescharacteristic, complemented
497#1519C2×C10311yescharacteristic, complemented
498#1513C2×C10311yescharacteristic, complemented
499#1468C2×C10311yescharacteristic, complemented
500C103#1844711yescharacteristic, direct product factor, Sylow
501#562—21no—
502#560—21no—
503#553—21no—
504#551—21no—
505#546—21no—
506#546—21no—
507#546—21no—
508D42—21no—
509#540—21no—
510#539—21no—
511#539C22×C10311yescharacteristic
512#538—21no—
513#538C22×C10311yescharacteristic
514#537C22×C10311yescharacteristic
515#534—21no—
516#534C22×C10311yescharacteristic
517#525C22×C10311yescharacteristic
518C2×#123C22×C10311yescharacteristic
519C2×C22⋊Q8C22×C10311yescharacteristic, complemented
520C2×#121C22×C10311yescharacteristic
521#485—21no—
522#484—21no—
523#483C22×C10311yescharacteristic, complemented
524#480C22×C10311yescharacteristic
525#480C22×C10311yescharacteristic, complemented
526#480C22×C10311yescharacteristic, complemented
527#468—21no—
528#468—21no—
529#467—21no—
530#465—21no—
531#452—21no—
532#451C22×C10311yescharacteristic, complemented
533#450—21no—
534#448C22×C10311yescharacteristic
535#448C22×C10311yescharacteristic, complemented
536#448C22×C10311yescharacteristic, complemented
537#407C22×C10311yescharacteristic, complemented
538C2×C22⋊C8C22×C10311yescharacteristic, complemented
539#398—21no—
540#398C22×C10311yescharacteristic, complemented
541#397—21no—
542#397C22×C10311yescharacteristic, complemented
543#396—21no—
544#395C22×C10311yescharacteristic, complemented
545#394—21no—
546#393C22×C10311yescharacteristic, complemented
547#380C22×C10311yescharacteristic, complemented
548#328C22×C10311yescharacteristic, complemented
549#328C22×C10311yescharacteristic, complemented
550#327C22×C10311yescharacteristic
551#327C22×C10311yescharacteristic
552#327C22×C10311yescharacteristic, complemented
553#327C22×C10311yescharacteristic, complemented
554#327C22×C10311yescharacteristic, complemented
555#327C22×C10311yescharacteristic, complemented
556#324C22×C10311yescharacteristic, complemented
557#324C22×C10311yescharacteristic, complemented
558#323C22×C10311yescharacteristic, complemented
559#323C22×C10311yescharacteristic, complemented
560C2×#41—21no—
561C2×#41D4×C10311yescharacteristic
562C22×Q8C23×C10311yescharacteristic
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4D4×C10311yescharacteristic
567C22×D4D4×C10311yescharacteristic
568C23×C4C23×C10311yescharacteristic
569C2×Q16—21no—
570C2×SD16—21no—
571C2×SD16—21no—
572C2×SD16—21no—
573C2×M16—21no—
574C22×C8—21no—
575#127—21no—
576#126—21no—
577#126—21no—
578#126—21no—
579#126—21no—
580#125—21no—
581#125—21no—
582#124—21no—
583#124—21no—
584#124—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—
596#123—21no—
597#123—21no—
598#123—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⋊Q8D4×C10311yescharacteristic
609C22⋊Q8C23×C10311yescharacteristic
610#121—21no—
611#121—21no—
612#121—21no—
613#121—21no—
614#121—21no—
615#121—21no—
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#121—21no—
625#121D4×C10311yescharacteristic
626#121D4×C10311yescharacteristic
627#121D4×C10311yescharacteristic
628#121C23×C10311yescharacteristic
629#121C23×C10311yescharacteristic
630#121C23×C10311yescharacteristic
631#120—21no—
632#120—21no—
633#120—21no—
634#120—21no—
635#120—21no—
636#120—21no—
637#120—21no—
638#120—21no—
639C4×D4—21no—
640C4×D4—21no—
641C4×D4—21no—
642C4×D4—21no—
643C4×D4—21no—
644C4×D4—21no—
645C4×D4—21no—
646C4×D4—21no—
647#117—21no—
648#117D4×C10311yescharacteristic
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4D4×C10311yescharacteristic
654C2×C4⋊C4D4×C10311yescharacteristic
655C2×C4⋊C4C23×C10311yescharacteristic
656C2×C4⋊C4C23×C10311yescharacteristic
657C2×C22⋊C4—21no—
658C2×C22⋊C4—21no—
659C2×C22⋊C4—21no—
660C2×C22⋊C4—21no—
661C2×C22⋊C4—21no—
662C2×C22⋊C4—21no—
663C2×C22⋊C4—21no—
664C2×C22⋊C4D4×C10311yescharacteristic
665C2×C22⋊C4D4×C10311yescharacteristic
666C2×C22⋊C4C23×C10311yescharacteristic
667#107—21no—
668#107—21no—
669#107—21no—
670#106—21no—
671#103—21no—
672#103—21no—
673#103—21no—
674#103—21no—
675#103—21no—
676#102—21no—
677#102—21no—
678#102—21no—
679C22⋊C8—21no—
680C22⋊C8—21no—
681C22⋊C8C23×C10311yescharacteristic
682C22⋊C8C23×C10311yescharacteristic
683C22⋊C8C23×C10311yescharacteristic
684C22⋊C8C23×C10311yescharacteristic
685#95—21no—
686#95—21no—
687#95—21no—
688#95—21no—
689#95C23×C10311yescharacteristic
690#95C23×C10311yescharacteristic
691C24—21no—
692C24—21no—
693C24C2×D4×C10311yescharacteristic
694C24C2×D4×C10311yescharacteristic
695#41—81no—
696#41—81no—
697#41—81no—
698C2×Q8—21no—
699C2×Q8—21no—
700C2×Q8—21no—
701C2×Q8—81no—
702C2×Q8C2×D4×C10311yescharacteristic
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—21no—
709C2×D4—21no—
710C2×D4—21no—
711C2×D4—21no—
712C2×D4—21no—
713C2×D4—21no—
714C2×D4—21no—
715C2×D4—21no—
716C2×D4—21no—
717C2×D4—21no—
718C2×D4—21no—
719C2×D4—21no—
720C2×D4—81no—
721C2×D4—81no—
722C2×D4—81no—
723C2×D4—81no—
724C2×D4—81no—
725C2×D4—81no—
726C2×D4—82no—
727C2×D4C2×D4×C10311yescharacteristic
728C2×D4C2×D4×C10311yescharacteristic
729C2×D4C2×D4×C10311yescharacteristic
730C22×C4—21no—
731C22×C4—21no—
732C22×C4—21no—
733C22×C4—21no—
734C22×C4—21no—
735C22×C4—21no—
736C22×C4—21no—
737C22×C4—21no—
738C22×C4—21no—
739C22×C4—21no—
740C22×C4—21no—
741C22×C4—81no—
742C22×C4C2×D4×C10311yescharacteristic
743C22×C4C2×D4×C10311yescharacteristic
744C22×C4C2×D4×C10311yescharacteristic
745C22×C4C2×D4×C10311yescharacteristic
746C22×C4C2×D4×C10311yescharacteristic
747C22×C4C2×D4×C10311yescharacteristic
748C22×C4C2×D4×C10311yescharacteristic
749C22×C4C2×D4×C10311yescharacteristic
750C22×C4C24×C10311yescharacteristic
751Q16—81no—
752SD16—81no—
753SD16—81no—
754SD16—81no—
755M16—81no—
756C2×C8—21no—
757C2×C8—21no—
758C2×C8—21no—
759C2×C8—21no—
760C2×C8—81no—
761C4⋊C4—21no—
762C4⋊C4—21no—
763C4⋊C4—21no—
764C4⋊C4—21no—
765C4⋊C4—21no—
766C4⋊C4—21no—
767C4⋊C4—21no—
768C4⋊C4—21no—
769C4⋊C4—21no—
770C4⋊C4—21no—
771C4⋊C4—21no—
772C4⋊C4—21no—
773C4⋊C4—21no—
774C4⋊C4—21no—
775C4⋊C4—21no—
776C4⋊C4—41no—
777C4⋊C4—41no—
778C4⋊C4—81no—
779C4⋊C4—81no—
780C4⋊C4—81no—
781C4⋊C4C2×D4×C10311yescharacteristic
782C4⋊C4C2×D4×C10311yescharacteristic
783C4⋊C4C2×D4×C10311yescharacteristic
784C4⋊C4C2×D4×C10311yescharacteristic
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—21no—
799C22⋊C4—21no—
800C22⋊C4—21no—
801C22⋊C4—21no—
802C22⋊C4—21no—
803C22⋊C4—21no—
804C22⋊C4—21no—
805C22⋊C4—21no—
806C22⋊C4—21no—
807C22⋊C4—21no—
808C22⋊C4—21no—
809C22⋊C4—21no—
810C22⋊C4—41no—
811C22⋊C4—41no—
812C22⋊C4—81no—
813C22⋊C4—81no—
814C22⋊C4—81no—
815C42—21no—
816C42—21no—
817C42—21no—
818C23—21no—
819C23—21no—
820C23—21no—
821C23—21no—
822C23—21no—
823C23—21no—
824C23—21no—
825C23—21no—
826C23—41no—
827C23—41no—
828C23—42no—
829C23—41no—
830C23—41no—
831C23—81no—
832C23—81no—
833C23—81no—
834C23—81no—
835C23—81no—
836C23#120×C10311yescharacteristic
837C23#120×C10311yescharacteristic
838C23C22×D4×C10311yescharacteristic
839Q8—41no—
840Q8—41no—
841Q8—41no—
842Q8—41no—
843Q8—41no—
844Q8—81no—
845D4—41no—
846D4—41no—
847D4—41no—
848D4—42no—
849D4—42no—
850D4—41no—
851D4—41no—
852D4—41no—
853D4—41no—
854D4—41no—
855D4—41no—
856D4—81no—
857D4—81no—
858D4—81no—
859D4—81no—
860D4—81no—
861D4—81no—
862D4—81no—
863D4—81no—
864D4—81no—
865D4—81no—
866D4—81no—
867D4—81no—
868C2×C4—21no—
869C2×C4—21no—
870C2×C4—21no—
871C2×C4—21no—
872C2×C4—21no—
873C2×C4—21no—
874C2×C4—21no—
875C2×C4—21no—
876C2×C4—21no—
877C2×C4—21no—
878C2×C4—41no—
879C2×C4—41no—
880C2×C4—41no—
881C2×C4—41no—
882C2×C4—41no—
883C2×C4—41no—
884C2×C4—41no—
885C2×C4—41no—
886C2×C4—41no—
887C2×C4—41no—
888C2×C4—41no—
889C2×C4—41no—
890C2×C4—41no—
891C2×C4—41no—
892C2×C4—41no—
893C2×C4—41no—
894C2×C4—41no—
895C2×C4—41no—
896C2×C4—41no—
897C2×C4—41no—
898C2×C4—81no—
899C2×C4—81no—
900C2×C4—81no—
901C2×C4—81no—
902C2×C4—81no—
903C2×C4—81no—
904C2×C4—81no—
905C2×C4#120×C10311yescharacteristic
906C2×C4#120×C10311yescharacteristic
907C2×C4C22×D4×C10311yescharacteristic
908C2×C4C22×D4×C10311yescharacteristic
909C8—41no—
910C8—41no—
911C8—41no—
912C8—41no—
913C22—21no—
914C22—21no—
915C22—21no—
916C22—21no—
917C22—21no—
918C22—21no—
919C22—21no—
920C22—21no—
921C22—41no—
922C22—41no—
923C22—41no—
924C22—41no—
925C22—41no—
926C22—41no—
927C22—41no—
928C22—41no—
929C22—41no—
930C22—41no—
931C22—41no—
932C22—41no—
933C22—81no—
934C22—81no—
935C22—81no—
936C22—81no—
937C22—162no—
938C22—162no—
939C22C2×#120×C10311yescharacteristic
940C22#576×C10311yescharacteristic
941C22#577×C10311yescharacteristic
942C4—21no—
943C4—21no—
944C4—21no—
945C4—21no—
946C4—41no—
947C4—41no—
948C4—41no—
949C4—41no—
950C4—41no—
951C4—41no—
952C4—41no—
953C4—41no—
954C4—81no—
955C4—81no—
956C4—81no—
957C4—81no—
958C2—21no—
959C2—21no—
960C2—41no—
961C2—41no—
962C2—81no—
963C2—81no—
964C2—81no—
965C2—81no—
966C2C103×#301211yescharacteristic
967C2C103×#302211yescharacteristic
968C2C103×#302611yescharacteristic
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×#3193C2semidirect
3. C103×#3190C2semidirect
4. C103×#2814C2semidirect
5. C103×#1612C2semidirect
6. C103×#1610C2semidirect
7. C103×#1609C2semidirect
8. C103×#1607C2semidirect
9. C103×#1606C2semidirect
10. C103×#1604C2semidirect
11. C103×#1603C2semidirect
12. C103×#1601C2semidirect
13. C103×#1519C2semidirect
14. C103×#1513C2semidirect
15. C103×#1468C2semidirect
34. C2×C22⋊Q8×C103C22semidirect
38. #483×C103C22semidirect
40. #480×C103C22semidirect
41. #480×C103C22semidirect
47. #451×C103C22semidirect
50. #448×C103C22semidirect
51. #448×C103C22semidirect
52. #407×C103C22semidirect
53. C2×C22⋊C8×C103C22semidirect
55. #398×C103C22semidirect
57. #397×C103C22semidirect
59. #395×C103C22semidirect
61. #393×C103C22semidirect
62. #380×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
473. #18447C103direct (N × H)
486. #3193C2×C103semidirect
487. #3190C2×C103semidirect
488. #2814C2×C103semidirect
489. #1612C2×C103semidirect
490. #1610C2×C103semidirect
491. #1609C2×C103semidirect
492. #1607C2×C103semidirect
493. #1606C2×C103semidirect
494. #1604C2×C103semidirect
495. #1603C2×C103semidirect
496. #1601C2×C103semidirect
497. #1519C2×C103semidirect
498. #1513C2×C103semidirect
499. #1468C2×C103semidirect
500. C103#18447direct (N × H)
519. C2×C22⋊Q8C22×C103semidirect
523. #483C22×C103semidirect
525. #480C22×C103semidirect
526. #480C22×C103semidirect
532. #451C22×C103semidirect
535. #448C22×C103semidirect
536. #448C22×C103semidirect
537. #407C22×C103semidirect
538. C2×C22⋊C8C22×C103semidirect
540. #398C22×C103semidirect
542. #397C22×C103semidirect
544. #395C22×C103semidirect
546. #393C22×C103semidirect
547. #380C22×C103semidirect
548. #328C22×C103semidirect
549. #328C22×C103semidirect
552. #327C22×C103semidirect
553. #327C22×C103semidirect
554. #327C22×C103semidirect
555. #327C22×C103semidirect
556. #324C22×C103semidirect
557. #324C22×C103semidirect
558. #323C22×C103semidirect
559. #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×#31932
C103×#31902
C103×#28142
C103×#16122
C103×#16102
C103×#16092
C103×#16072
C103×#16062
C103×#16042
C103×#16032
C103×#16012
C103×#15192
C103×#15132
C103×#14682
#18447103