Finite Group Databasebeta

← C103×#33556 #39938831

Subgroups — C103×#33556 #39938831

Order 26368.

1134 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3540C211yesmaximal, characteristic, complemented
2C103×#3028C211yesmaximal, characteristic, complemented
3C103×#3025C211yesmaximal, characteristic, complemented
4C103×#3021C211yesmaximal, characteristic, complemented
5C103×#2200C214yesmaximal, complemented
6C103×#2198C214yesmaximal, complemented
7C103×#2128C211yesmaximal, characteristic, complemented
8C103×#2123C211yesmaximal, characteristic, complemented
9C103×#2120C211yesmaximal, characteristic, complemented
10#585×C103C2211yescharacteristic
11C2×AGL(1,ℤ/8)×C103—21no—
12H(3,𝔽4)×C103—21no—
13#560×C103C2212yescomplemented
14#559×C103C2212yescomplemented
15#556×C103—21no—
16#555×C103—21no—
17#551×C103—21no—
18#548×C103—21no—
19#546×C103—21no—
20#542×C103—22no—
21#542×C103—21no—
22#538×C103—22no—
23#536×C103—21no—
24#536×C103C2211yescharacteristic
25#535×C103C2211yescharacteristic
26#525×C103—21no—
27#525×C103—21no—
28#525×C103C2211yescharacteristic
29#458×C103—21no—
30#458×C103—22no—
31#458×C103C2212yescomplemented
32#458×C103C2214yescomplemented
33B(4,𝔽2)×C103—21no—
34B(4,𝔽2)×C103C2212yescomplemented
35#454×C103—22no—
36#453×C103C2214yes—
37#421×C103—21no—
38#413×C103C2211yescharacteristic
39#410×C103—21no—
40#410×C103—21no—
41#410×C103C2211yescharacteristic
42#410×C103C2211yescharacteristic
43#353×C103C2214yescomplemented
44#352×C103C2212yescomplemented
45#352×C103C2214yescomplemented
46AΣL(1,𝔽16)×C103C2212yescomplemented
472−1+4×C103—21no—
482−1+4×C103—41no—
49H(5,𝔽2)×C103—21no—
50H(5,𝔽2)×C103—21no—
51H(5,𝔽2)×C103—41no—
52H(5,𝔽2)×C103C2312yes—
53C2×#41×C103—21no—
54C2×#41×C103—21no—
55C2×#41×C103—21no—
56C2×#41×C103—21no—
57C2×#41×C103—42no—
58C2×#41×C103C2311yescharacteristic
59C22×Q8×C103D411yescharacteristic, complemented
60C22×D4×C103D411yescharacteristic, complemented
61C23×C4×C103D411yescharacteristic
62AGL(1,ℤ/8)×C103—24no—
63AGL(1,ℤ/8)×C103—42no—
64C2×SD16×C103—41no—
65C2×D8×C103—41no—
66C2×M16×C103—21no—
67C4⋊Q8×C103—21no—
68C4⋊Q8×C103—21no—
69C4⋊Q8×C103—41no—
70#127×C103C2312yes—
71#126×C103—22no—
72#126×C103—22no—
73#126×C103—22no—
74#124×C103—22no—
75#124×C103—21no—
76#124×C103—22no—
77#124×C103—22no—
78#124×C103—21no—
79#124×C103—22no—
80#124×C103—22no—
81#124×C103—41no—
82#124×C103D412yescomplemented
83#123×C103—22no—
84#123×C103—22no—
85#123×C103—22no—
86#123×C103—22no—
87#123×C103—24no—
88#123×C103D411yescharacteristic
89#123×C103D412yescomplemented
90#123×C103C2311yescharacteristic
91#123×C103C2312yes—
92C22⋊Q8×C103—21no—
93C22⋊Q8×C103—22no—
94C22⋊Q8×C103—22no—
95C22⋊Q8×C103—21no—
96C22⋊Q8×C103—21no—
97C22⋊Q8×C103—21no—
98C22⋊Q8×C103—42no—
99C22⋊Q8×C103—41no—
100#121×C103—21no—
101#121×C103—21no—
102#121×C103—22no—
103#121×C103—21no—
104#121×C103—21no—
105#121×C103—22no—
106#121×C103—22no—
107#121×C103—41no—
108#120×C103—22no—
109#120×C103—22no—
110#120×C103—21no—
111#120×C103—21no—
112#120×C103—22no—
113#120×C103D411yescharacteristic
114#120×C103C2311yescharacteristic
115C4×Q8×C103—21no—
116C4×Q8×C103—22no—
117C4×D4×C103—22no—
118C4×D4×C103—21no—
119C4×D4×C103—22no—
120C4×D4×C103—21no—
121C4×D4×C103—21no—
122C4×D4×C103—22no—
123C4×D4×C103—42no—
124#117×C103—21no—
125#117×C103—22no—
126#117×C103—21no—
127#117×C103—21no—
128#117×C103D411yescharacteristic
129#117×C103D411yescharacteristic, complemented
130#117×C103D411yescharacteristic, complemented
131C2×C22⋊C4×C103—22no—
132#104×C103—24no—
133#101×C103—21no—
134#100×C103C2312yes—
135#99×C103—21no—
136#99×C103—21no—
137#99×C103—22no—
138#99×C103—22no—
139#99×C103—24no—
140#99×C103C2312yes—
141#99×C103C2312yes—
142C24×C103—21no—
143C24×C103C2×D411yescharacteristic
144#41×C103—22no—
145#41×C103—22no—
146#41×C103—41no—
147#41×C103—41no—
148#41×C103—42no—
149#41×C103—41no—
150#41×C103—41no—
151#41×C103—41no—
152#41×C103—41no—
153#41×C103—41no—
154#41×C103—42no—
155#41×C103—42no—
156#41×C103—42no—
157#41×C103—41no—
158#41×C103—41no—
159#41×C103—41no—
160#41×C103—81no—
161#41×C103—81no—
162C2×Q8×C103—21no—
163C2×Q8×C103—21no—
164C2×Q8×C103—22no—
165C2×Q8×C103—21no—
166C2×Q8×C103—21no—
167C2×Q8×C103—21no—
168C2×Q8×C103—41no—
169C2×Q8×C103—41no—
170C2×Q8×C103—42no—
171C2×Q8×C103C2×D411yescharacteristic
172C2×D4×C103—21no—
173C2×D4×C103—21no—
174C2×D4×C103—21no—
175C2×D4×C103—22no—
176C2×D4×C103—22no—
177C2×D4×C103—22no—
178C2×D4×C103—22no—
179C2×D4×C103—21no—
180C2×D4×C103—22no—
181C2×D4×C103—22no—
182C2×D4×C103—21no—
183C2×D4×C103—21no—
184C2×D4×C103—41no—
185C2×D4×C103—41no—
186C2×D4×C103—42no—
187C2×D4×C103—42no—
188C2×D4×C103—42no—
189C2×D4×C103—41no—
190C2×D4×C103—42no—
191C2×D4×C103C2×D411yescharacteristic
192C2×D4×C103C2×D411yescharacteristic
193C2×D4×C103C2×D412yes—
194C2×D4×C103C2411yescharacteristic
195C22×C4×C103—22no—
196C22×C4×C103—22no—
197C22×C4×C103—22no—
198C22×C4×C103—22no—
199C22×C4×C103—21no—
200C22×C4×C103—21no—
201C22×C4×C103—41no—
202C22×C4×C103—41no—
203C22×C4×C103—41no—
204C22×C4×C103C2×D411yescharacteristic
205C22×C4×C103C2×D411yescharacteristic
206C22×C4×C103C2×D411yescharacteristic
207C22×C4×C103C2×D411yescharacteristic
208C22×C4×C103C2×D412yes—
209SD16×C103—44no—
210D8×C103—44no—
211M16×C103—22no—
212M16×C103—41no—
213C2×C8×C103—41no—
214C4⋊C4×C103—22no—
215C4⋊C4×C103—22no—
216C4⋊C4×C103—22no—
217C4⋊C4×C103—21no—
218C4⋊C4×C103—21no—
219C4⋊C4×C103—22no—
220C4⋊C4×C103—21no—
221C4⋊C4×C103—21no—
222C4⋊C4×C103—21no—
223C4⋊C4×C103—22no—
224C4⋊C4×C103—41no—
225C4⋊C4×C103—41no—
226C4⋊C4×C103—42no—
227C4⋊C4×C103—44no—
228C22⋊C4×C103—22no—
229C22⋊C4×C103—22no—
230C22⋊C4×C103—22no—
231C22⋊C4×C103—22no—
232C22⋊C4×C103—22no—
233C22⋊C4×C103—22no—
234C22⋊C4×C103—21no—
235C22⋊C4×C103—22no—
236C22⋊C4×C103—21no—
237C22⋊C4×C103—21no—
238C22⋊C4×C103—22no—
239C22⋊C4×C103—22no—
240C22⋊C4×C103—22no—
241C22⋊C4×C103—21no—
242C22⋊C4×C103—21no—
243C22⋊C4×C103—22no—
244C22⋊C4×C103—22no—
245C22⋊C4×C103—42no—
246C22⋊C4×C103—42no—
247C22⋊C4×C103—44no—
248C22⋊C4×C103C2×D411yescharacteristic
249C22⋊C4×C103C2×D411yescharacteristic
250C22⋊C4×C103C2×D412yes—
251C42×C103—22no—
252C42×C103—22no—
253C42×C103—21no—
254C42×C103—21no—
255C42×C103—41no—
256C42×C103—41no—
257C42×C103C2×D412yes—
258C23×C103—22no—
259C23×C103—22no—
260C23×C103—21no—
261C23×C103—22no—
262C23×C103—41no—
263C23×C103—41no—
264C23×C103—81no—
265C23×C103—81no—
266C23×C103—82no—
267C23×C103#12011yescharacteristic
268C23×C103C22×D411yescharacteristic
269C23×C103C22×D411yescharacteristic
270Q8×C103—22no—
271Q8×C103—41no—
272Q8×C103—41no—
273Q8×C103—41no—
274Q8×C103—41no—
275Q8×C103—41no—
276Q8×C103—41no—
277Q8×C103—81no—
278Q8×C103—82no—
279D4×C103—22no—
280D4×C103—41no—
281D4×C103—41no—
282D4×C103—41no—
283D4×C103—42no—
284D4×C103—41no—
285D4×C103—41no—
286D4×C103—42no—
287D4×C103—42no—
288D4×C103—42no—
289D4×C103—42no—
290D4×C103—41no—
291D4×C103—41no—
292D4×C103—41no—
293D4×C103—81no—
294D4×C103—82no—
295D4×C103—82no—
296D4×C103—82no—
297D4×C103—81no—
298D4×C103—82no—
299D4×C103—84no—
300C2×C4×C103—21no—
301C2×C4×C103—21no—
302C2×C4×C103—21no—
303C2×C4×C103—21no—
304C2×C4×C103—21no—
305C2×C4×C103—21no—
306C2×C4×C103—22no—
307C2×C4×C103—22no—
308C2×C4×C103—21no—
309C2×C4×C103—22no—
310C2×C4×C103—22no—
311C2×C4×C103—21no—
312C2×C4×C103—22no—
313C2×C4×C103—21no—
314C2×C4×C103—42no—
315C2×C4×C103—42no—
316C2×C4×C103—42no—
317C2×C4×C103—41no—
318C2×C4×C103—42no—
319C2×C4×C103—41no—
320C2×C4×C103—41no—
321C2×C4×C103—41no—
322C2×C4×C103—42no—
323C2×C4×C103—42no—
324C2×C4×C103—42no—
325C2×C4×C103—81no—
326C2×C4×C103—82no—
327C2×C4×C103—82no—
328C2×C4×C103#12011yescharacteristic
329C2×C4×C103#12011yescharacteristic
330C2×C4×C103#12011yescharacteristic
331C2×C4×C103C22×D411yescharacteristic
332C8×C103—42no—
333C22×C103—21no—
334C22×C103—21no—
335C22×C103—21no—
336C22×C103—41no—
337C22×C103—41no—
338C22×C103—41no—
339C22×C103—42no—
340C22×C103—41no—
341C22×C103—41no—
342C22×C103—42no—
343C22×C103—42no—
344C22×C103—42no—
345C22×C103—41no—
346C22×C103—42no—
347C22×C103—82no—
348C22×C103—82no—
349C22×C103—81no—
350C22×C103—161no—
351C22×C103—162no—
352C22×C103C2×#12011yescharacteristic
353C4×C103—21no—
354C4×C103—21no—
355C4×C103—21no—
356C4×C103—41no—
357C4×C103—42no—
358C4×C103—42no—
359C4×C103—41no—
360C4×C103—42no—
361C4×C103—41no—
362C4×C103—42no—
363C4×C103—82no—
364C4×C103—82no—
365C4×C103B(4,𝔽2)11yescharacteristic
366C4×C103B(4,𝔽2)11yescharacteristic
367#33556C10311yesmaximal, characteristic, direct product factor, Sylow
368C2×C103—21no—
369C2×C103—41no—
370C2×C103—41no—
371C2×C103—41no—
372C2×C103—81no—
373C2×C103—82no—
374C2×C103—82no—
375C2×C103C2×B(4,𝔽2)11yescharacteristic
376#3540C2×C10311yescharacteristic, complemented
377#3028C2×C10311yescharacteristic, complemented
378#3025C2×C10311yescharacteristic, complemented
379#3021C2×C10311yescharacteristic, complemented
380#2200C2×C10314yescomplemented
381#2198C2×C10314yescomplemented
382#2128C2×C10311yescharacteristic, complemented
383#2123C2×C10311yescharacteristic, complemented
384#2120C2×C10311yescharacteristic, complemented
385C103#3355611yescharacteristic, direct product factor, Sylow
386#585C22×C10311yescharacteristic
387C2×AGL(1,ℤ/8)—21no—
388H(3,𝔽4)—21no—
389#560C22×C10312yescomplemented
390#559C22×C10312yescomplemented
391#556—21no—
392#555—21no—
393#551—21no—
394#548—21no—
395#546—21no—
396#542—22no—
397#542—21no—
398#538—22no—
399#536—21no—
400#536C22×C10311yescharacteristic
401#535C22×C10311yescharacteristic
402#525—21no—
403#525—21no—
404#525C22×C10311yescharacteristic
405#458—21no—
406#458—22no—
407#458C22×C10312yescomplemented
408#458C22×C10314yescomplemented
409B(4,𝔽2)—21no—
410B(4,𝔽2)C22×C10312yescomplemented
411#454—22no—
412#453C22×C10314yes—
413#421—21no—
414#413C22×C10311yescharacteristic
415#410—21no—
416#410—21no—
417#410C22×C10311yescharacteristic
418#410C22×C10311yescharacteristic
419#353C22×C10314yescomplemented
420#352C22×C10312yescomplemented
421#352C22×C10314yescomplemented
422AΣL(1,𝔽16)C22×C10312yescomplemented
4232−1+4—21no—
4242−1+4—41no—
425H(5,𝔽2)—21no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—41no—
428H(5,𝔽2)C23×C10312yes—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—42no—
434C2×#41C23×C10311yescharacteristic
435C22×Q8D4×C10311yescharacteristic, complemented
436C22×D4D4×C10311yescharacteristic, complemented
437C23×C4D4×C10311yescharacteristic
438AGL(1,ℤ/8)—24no—
439AGL(1,ℤ/8)—42no—
440C2×SD16—41no—
441C2×D8—41no—
442C2×M16—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8—41no—
446#127C23×C10312yes—
447#126—22no—
448#126—22no—
449#126—22no—
450#124—22no—
451#124—21no—
452#124—22no—
453#124—22no—
454#124—21no—
455#124—22no—
456#124—22no—
457#124—41no—
458#124D4×C10312yescomplemented
459#123—22no—
460#123—22no—
461#123—22no—
462#123—22no—
463#123—24no—
464#123D4×C10311yescharacteristic
465#123D4×C10312yescomplemented
466#123C23×C10311yescharacteristic
467#123C23×C10312yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—42no—
475C22⋊Q8—41no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—21no—
487#120—21no—
488#120—22no—
489#120D4×C10311yescharacteristic
490#120C23×C10311yescharacteristic
491C4×Q8—21no—
492C4×Q8—22no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—22no—
499C4×D4—42no—
500#117—21no—
501#117—22no—
502#117—21no—
503#117—21no—
504#117D4×C10311yescharacteristic
505#117D4×C10311yescharacteristic, complemented
506#117D4×C10311yescharacteristic, complemented
507C2×C22⋊C4—22no—
508#104—24no—
509#101—21no—
510#100C23×C10312yes—
511#99—21no—
512#99—21no—
513#99—22no—
514#99—22no—
515#99—24no—
516#99C23×C10312yes—
517#99C23×C10312yes—
518C24—21no—
519C24C2×D4×C10311yescharacteristic
520#41—22no—
521#41—22no—
522#41—41no—
523#41—41no—
524#41—42no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—81no—
537#41—81no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—22no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C10311yescharacteristic
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—41no—
566C2×D4—42no—
567C2×D4C2×D4×C10311yescharacteristic
568C2×D4C2×D4×C10311yescharacteristic
569C2×D4C2×D4×C10312yes—
570C2×D4C24×C10311yescharacteristic
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—41no—
580C22×C4C2×D4×C10311yescharacteristic
581C22×C4C2×D4×C10311yescharacteristic
582C22×C4C2×D4×C10311yescharacteristic
583C22×C4C2×D4×C10311yescharacteristic
584C22×C4C2×D4×C10312yes—
585SD16—44no—
586D8—44no—
587M16—22no—
588M16—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—42no—
603C4⋊C4—44no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4C2×D4×C10311yescharacteristic
625C22⋊C4C2×D4×C10311yescharacteristic
626C22⋊C4C2×D4×C10312yes—
627C42—22no—
628C42—22no—
629C42—21no—
630C42—21no—
631C42—41no—
632C42—41no—
633C42C2×D4×C10312yes—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23—82no—
643C23#120×C10311yescharacteristic
644C23C22×D4×C10311yescharacteristic
645C23C22×D4×C10311yescharacteristic
646Q8—22no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—81no—
654Q8—82no—
655D4—22no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—82no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—84no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4#120×C10311yescharacteristic
705C2×C4#120×C10311yescharacteristic
706C2×C4#120×C10311yescharacteristic
707C2×C4C22×D4×C10311yescharacteristic
708C8—42no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—161no—
727C22—162no—
728C22C2×#120×C10311yescharacteristic
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4B(4,𝔽2)×C10311yescharacteristic
742C4B(4,𝔽2)×C10311yescharacteristic
743C2—21no—
744C2—41no—
745C2—41no—
746C2—41no—
747C2—81no—
748C2—82no—
749C2—82no—
750C2C2×B(4,𝔽2)×C10311yescharacteristic
subgroupG/H
center, socleC2×C103C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C103
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C103 ◁ C2×C4×C103 ◁ C2×#41×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3540C2semidirect
2. C103×#3028C2semidirect
3. C103×#3025C2semidirect
4. C103×#3021C2semidirect
5. C103×#2200C2semidirect
6. C103×#2198C2semidirect
7. C103×#2128C2semidirect
8. C103×#2123C2semidirect
9. C103×#2120C2semidirect
13. #560×C103C22semidirect
14. #559×C103C22semidirect
31. #458×C103C22semidirect
32. #458×C103C22semidirect
34. B(4,𝔽2)×C103C22semidirect
43. #353×C103C22semidirect
44. #352×C103C22semidirect
45. #352×C103C22semidirect
46. AΣL(1,𝔽16)×C103C22semidirect
59. C22×Q8×C103D4semidirect
60. C22×D4×C103D4semidirect
82. #124×C103D4semidirect
89. #123×C103D4semidirect
129. #117×C103D4semidirect
130. #117×C103D4semidirect
367. #33556C103direct (N × H)
376. #3540C2×C103semidirect
377. #3028C2×C103semidirect
378. #3025C2×C103semidirect
379. #3021C2×C103semidirect
380. #2200C2×C103semidirect
381. #2198C2×C103semidirect
382. #2128C2×C103semidirect
383. #2123C2×C103semidirect
384. #2120C2×C103semidirect
385. C103#33556direct (N × H)
389. #560C22×C103semidirect
390. #559C22×C103semidirect
407. #458C22×C103semidirect
408. #458C22×C103semidirect
410. B(4,𝔽2)C22×C103semidirect
419. #353C22×C103semidirect
420. #352C22×C103semidirect
421. #352C22×C103semidirect
422. AΣL(1,𝔽16)C22×C103semidirect
435. C22×Q8D4×C103semidirect
436. C22×D4D4×C103semidirect
458. #124D4×C103semidirect
465. #123D4×C103semidirect
505. #117D4×C103semidirect
506. #117D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35402
C103×#30282
C103×#30252
C103×#30212
C103×#22002
C103×#21982
C103×#21282
C103×#21232
C103×#21202
#33556103