Finite Group Databasebeta

← C103×#33555 #39938830

Subgroups — C103×#33555 #39938830

Order 26368.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3540C211yesmaximal, characteristic, complemented
2C103×#3027C211yesmaximal, characteristic, complemented
3C103×#3025C211yesmaximal, characteristic, complemented
4C103×#3022C211yesmaximal, characteristic, complemented
5C103×#2199C214yesmaximal, complemented
6C103×#2197C214yesmaximal, complemented
7C103×#2129C211yesmaximal, characteristic, complemented
8C103×#2122C211yesmaximal, characteristic, complemented
9C103×#2120C211yesmaximal, characteristic, complemented
10#585×C103C2211yescharacteristic
11C2×#137×C103—21no—
12H(3,𝔽4)×C103C2212yescomplemented
13#560×C103—21no—
14#559×C103—21no—
15#556×C103—21no—
16#555×C103—21no—
17#551×C103C2212yescomplemented
18#548×C103—21no—
19#546×C103—21no—
20#542×C103—22no—
21#542×C103—21no—
22#538×C103—22no—
23#536×C103C2211yescharacteristic
24#535×C103—21no—
25#535×C103C2211yescharacteristic
26#525×C103—21no—
27#525×C103—21no—
28#525×C103C2211yescharacteristic
29#458×C103—21no—
30#458×C103C2212yes—
31B(4,𝔽2)×C103—21no—
32B(4,𝔽2)×C103—22no—
33B(4,𝔽2)×C103C2214yes—
34B(4,𝔽2)×C103C2212yes—
35#456×C103—22no—
36#455×C103C2214yes—
37#421×C103—21no—
38#413×C103C2211yescharacteristic
39#410×C103—21no—
40#410×C103—21no—
41#410×C103C2211yescharacteristic
42#410×C103C2211yescharacteristic
43#354×C103C2214yescomplemented
44#352×C103C2212yescomplemented
45AΣL(1,𝔽16)×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, complemented
62#137×C103—24no—
63#137×C103—42no—
64C2×Q16×C103—41no—
65C2×SD16×C103—41no—
66C2×M16×C103—21no—
67C4⋊Q8×C103—21no—
68C4⋊Q8×C103D412yescomplemented
69#127×C103—21no—
70#127×C103—41no—
71#126×C103—22no—
72#126×C103—22no—
73#126×C103—22no—
74#124×C103—22no—
75#124×C103—21no—
76#124×C103—21no—
77#124×C103—22no—
78#124×C103—22no—
79#124×C103—22no—
80#124×C103—22no—
81#124×C103—41no—
82#124×C103C2312yes—
83#123×C103—22no—
84#123×C103—22no—
85#123×C103—21no—
86#123×C103—21no—
87#123×C103—22no—
88#123×C103—22no—
89#123×C103D411yescharacteristic, complemented
90#123×C103C2311yescharacteristic
91C22⋊Q8×C103—21no—
92C22⋊Q8×C103—22no—
93C22⋊Q8×C103—21no—
94C22⋊Q8×C103—22no—
95C22⋊Q8×C103—21no—
96C22⋊Q8×C103—21no—
97C22⋊Q8×C103—41no—
98#121×C103—21no—
99#121×C103—22no—
100#121×C103—22no—
101#121×C103—22no—
102#121×C103—21no—
103#121×C103—21no—
104#121×C103—21no—
105#121×C103—42no—
106#121×C103—41no—
107#120×C103—22no—
108#120×C103—22no—
109#120×C103—22no—
110#120×C103—24no—
111#120×C103D411yescharacteristic, complemented
112#120×C103D412yescomplemented
113#120×C103C2311yescharacteristic
114#120×C103C2312yes—
115C4×Q8×C103—21no—
116C4×Q8×C103—22no—
117C4×D4×C103—22no—
118C4×D4×C103—22no—
119C4×D4×C103—21no—
120C4×D4×C103—22no—
121C4×D4×C103—21no—
122C4×D4×C103—21no—
123C4×D4×C103—42no—
124#117×C103—21no—
125#117×C103—22no—
126#117×C103—21no—
127#117×C103—21no—
128#117×C103D411yescharacteristic, complemented
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—24no—
138#99×C103—22no—
139#99×C103—22no—
140#99×C103C2312yes—
141#99×C103C2312yes—
142C24×C103C2×D412yes—
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—41no—
168C2×Q8×C103—41no—
169C2×Q8×C103—42no—
170C2×Q8×C103C2×D412yes—
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—21no—
182C2×D4×C103—22no—
183C2×D4×C103—21no—
184C2×D4×C103—21no—
185C2×D4×C103—41no—
186C2×D4×C103—41no—
187C2×D4×C103—42no—
188C2×D4×C103—42no—
189C2×D4×C103—42no—
190C2×D4×C103—41no—
191C2×D4×C103—42no—
192C2×D4×C103—44no—
193C2×D4×C103C2×D411yescharacteristic
194C2×D4×C103C2×D411yescharacteristic
195C2×D4×C103C2411yescharacteristic
196C22×C4×C103—22no—
197C22×C4×C103—22no—
198C22×C4×C103—22no—
199C22×C4×C103—22no—
200C22×C4×C103—21no—
201C22×C4×C103—21no—
202C22×C4×C103—21no—
203C22×C4×C103—41no—
204C22×C4×C103—41no—
205C22×C4×C103—41no—
206C22×C4×C103C2×D411yescharacteristic
207C22×C4×C103C2×D411yescharacteristic
208C22×C4×C103C2×D411yescharacteristic
209C22×C4×C103C2×D411yescharacteristic
210Q16×C103—44no—
211SD16×C103—44no—
212M16×C103—22no—
213M16×C103—41no—
214C2×C8×C103—41no—
215C4⋊C4×C103—22no—
216C4⋊C4×C103—22no—
217C4⋊C4×C103—22no—
218C4⋊C4×C103—21no—
219C4⋊C4×C103—21no—
220C4⋊C4×C103—22no—
221C4⋊C4×C103—22no—
222C4⋊C4×C103—21no—
223C4⋊C4×C103—21no—
224C4⋊C4×C103—21no—
225C4⋊C4×C103—41no—
226C4⋊C4×C103—41no—
227C4⋊C4×C103—42no—
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—21no—
236C22⋊C4×C103—21no—
237C22⋊C4×C103—22no—
238C22⋊C4×C103—22no—
239C22⋊C4×C103—21no—
240C22⋊C4×C103—22no—
241C22⋊C4×C103—22no—
242C22⋊C4×C103—21no—
243C22⋊C4×C103—22no—
244C22⋊C4×C103—22no—
245C22⋊C4×C103—42no—
246C22⋊C4×C103—44no—
247C22⋊C4×C103—42no—
248C22⋊C4×C103C2×D412yes—
249C22⋊C4×C103C2×D411yescharacteristic
250C22⋊C4×C103C2×D411yescharacteristic
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—22no—
261C23×C103—21no—
262C23×C103—41no—
263C23×C103—41no—
264C23×C103—42no—
265C23×C103—81no—
266C23×C103—82no—
267C23×C103#12011yescharacteristic
268C23×C103C22×D411yescharacteristic
269C23×C103C22×D411yescharacteristic
270Q8×C103—22no—
271Q8×C103—41no—
272Q8×C103—42no—
273Q8×C103—41no—
274Q8×C103—41no—
275Q8×C103—41no—
276Q8×C103—41no—
277Q8×C103—41no—
278Q8×C103—82no—
279D4×C103—22no—
280D4×C103—41no—
281D4×C103—41no—
282D4×C103—41no—
283D4×C103—41no—
284D4×C103—41no—
285D4×C103—42no—
286D4×C103—42no—
287D4×C103—42no—
288D4×C103—42no—
289D4×C103—41no—
290D4×C103—41no—
291D4×C103—41no—
292D4×C103—81no—
293D4×C103—81no—
294D4×C103—82no—
295D4×C103—82no—
296D4×C103—82no—
297D4×C103—81no—
298D4×C103—82no—
299D4×C103—84no—
300D4×C103—164no—
301C2×C4×C103—21no—
302C2×C4×C103—21no—
303C2×C4×C103—21no—
304C2×C4×C103—21no—
305C2×C4×C103—21no—
306C2×C4×C103—21no—
307C2×C4×C103—22no—
308C2×C4×C103—22no—
309C2×C4×C103—21no—
310C2×C4×C103—22no—
311C2×C4×C103—21no—
312C2×C4×C103—22no—
313C2×C4×C103—22no—
314C2×C4×C103—21no—
315C2×C4×C103—42no—
316C2×C4×C103—42no—
317C2×C4×C103—42no—
318C2×C4×C103—41no—
319C2×C4×C103—42no—
320C2×C4×C103—41no—
321C2×C4×C103—41no—
322C2×C4×C103—41no—
323C2×C4×C103—42no—
324C2×C4×C103—42no—
325C2×C4×C103—81no—
326C2×C4×C103—81no—
327C2×C4×C103—82no—
328C2×C4×C103—82no—
329C2×C4×C103#12011yescharacteristic
330C2×C4×C103#12011yescharacteristic
331C2×C4×C103#12011yescharacteristic
332C2×C4×C103C22×D411yescharacteristic
333C8×C103—42no—
334C22×C103—21no—
335C22×C103—21no—
336C22×C103—21no—
337C22×C103—41no—
338C22×C103—41no—
339C22×C103—41no—
340C22×C103—42no—
341C22×C103—41no—
342C22×C103—41no—
343C22×C103—42no—
344C22×C103—42no—
345C22×C103—42no—
346C22×C103—41no—
347C22×C103—42no—
348C22×C103—82no—
349C22×C103—82no—
350C22×C103—84no—
351C22×C103—81no—
352C22×C103—161no—
353C22×C103C2×#12011yescharacteristic
354C4×C103—21no—
355C4×C103—21no—
356C4×C103—21no—
357C4×C103—41no—
358C4×C103—42no—
359C4×C103—42no—
360C4×C103—41no—
361C4×C103—42no—
362C4×C103—41no—
363C4×C103—42no—
364C4×C103—82no—
365C4×C103—82no—
366C4×C103B(4,𝔽2)11yescharacteristic
367C4×C103B(4,𝔽2)11yescharacteristic
368#33555C10311yesmaximal, characteristic, direct product factor, Sylow
369C2×C103—21no—
370C2×C103—41no—
371C2×C103—41no—
372C2×C103—41no—
373C2×C103—81no—
374C2×C103—82no—
375C2×C103—82no—
376C2×C103C2×B(4,𝔽2)11yescharacteristic
377#3540C2×C10311yescharacteristic, complemented
378#3027C2×C10311yescharacteristic, complemented
379#3025C2×C10311yescharacteristic, complemented
380#3022C2×C10311yescharacteristic, complemented
381#2199C2×C10314yescomplemented
382#2197C2×C10314yescomplemented
383#2129C2×C10311yescharacteristic, complemented
384#2122C2×C10311yescharacteristic, complemented
385#2120C2×C10311yescharacteristic, complemented
386C103#3355511yescharacteristic, direct product factor, Sylow
387#585C22×C10311yescharacteristic
388C2×#137—21no—
389H(3,𝔽4)C22×C10312yescomplemented
390#560—21no—
391#559—21no—
392#556—21no—
393#555—21no—
394#551C22×C10312yescomplemented
395#548—21no—
396#546—21no—
397#542—22no—
398#542—21no—
399#538—22no—
400#536C22×C10311yescharacteristic
401#535—21no—
402#535C22×C10311yescharacteristic
403#525—21no—
404#525—21no—
405#525C22×C10311yescharacteristic
406#458—21no—
407#458C22×C10312yes—
408B(4,𝔽2)—21no—
409B(4,𝔽2)—22no—
410B(4,𝔽2)C22×C10314yes—
411B(4,𝔽2)C22×C10312yes—
412#456—22no—
413#455C22×C10314yes—
414#421—21no—
415#413C22×C10311yescharacteristic
416#410—21no—
417#410—21no—
418#410C22×C10311yescharacteristic
419#410C22×C10311yescharacteristic
420#354C22×C10314yescomplemented
421#352C22×C10312yescomplemented
422AΣL(1,𝔽16)C22×C10312yescomplemented
423AΣL(1,𝔽16)C22×C10314yescomplemented
4242−1+4—21no—
4252−1+4—41no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—21no—
428H(5,𝔽2)—41no—
429H(5,𝔽2)C23×C10312yes—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—42no—
435C2×#41C23×C10311yescharacteristic
436C22×Q8D4×C10311yescharacteristic, complemented
437C22×D4D4×C10311yescharacteristic, complemented
438C23×C4D4×C10311yescharacteristic, complemented
439#137—24no—
440#137—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×M16—21no—
444C4⋊Q8—21no—
445C4⋊Q8D4×C10312yescomplemented
446#127—21no—
447#127—41no—
448#126—22no—
449#126—22no—
450#126—22no—
451#124—22no—
452#124—21no—
453#124—21no—
454#124—22no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459#124C23×C10312yes—
460#123—22no—
461#123—22no—
462#123—21no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123D4×C10311yescharacteristic, complemented
467#123C23×C10311yescharacteristic
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—41no—
475#121—21no—
476#121—22no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—42no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—24no—
488#120D4×C10311yescharacteristic, complemented
489#120D4×C10312yescomplemented
490#120C23×C10311yescharacteristic
491#120C23×C10312yes—
492C4×Q8—21no—
493C4×Q8—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—22no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—42no—
501#117—21no—
502#117—22no—
503#117—21no—
504#117—21no—
505#117D4×C10311yescharacteristic, complemented
506#117D4×C10311yescharacteristic, complemented
507#117D4×C10311yescharacteristic, complemented
508C2×C22⋊C4—22no—
509#104—24no—
510#101—21no—
511#100C23×C10312yes—
512#99—21no—
513#99—21no—
514#99—24no—
515#99—22no—
516#99—22no—
517#99C23×C10312yes—
518#99C23×C10312yes—
519C24C2×D4×C10312yes—
520C24C2×D4×C10311yescharacteristic
521#41—22no—
522#41—22no—
523#41—41no—
524#41—41no—
525#41—42no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—81no—
538#41—81no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C10312yes—
548C2×Q8C2×D4×C10311yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—42no—
569C2×D4—44no—
570C2×D4C2×D4×C10311yescharacteristic
571C2×D4C2×D4×C10311yescharacteristic
572C2×D4C24×C10311yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4C2×D4×C10311yescharacteristic
584C22×C4C2×D4×C10311yescharacteristic
585C22×C4C2×D4×C10311yescharacteristic
586C22×C4C2×D4×C10311yescharacteristic
587Q16—44no—
588SD16—44no—
589M16—22no—
590M16—41no—
591C2×C8—41no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—42no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4—42no—
625C22⋊C4C2×D4×C10312yes—
626C22⋊C4C2×D4×C10311yescharacteristic
627C22⋊C4C2×D4×C10311yescharacteristic
628C42—22no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42—41no—
633C42—41no—
634C42C2×D4×C10312yes—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23#120×C10311yescharacteristic
645C23C22×D4×C10311yescharacteristic
646C23C22×D4×C10311yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—81no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C10311yescharacteristic
707C2×C4#120×C10311yescharacteristic
708C2×C4#120×C10311yescharacteristic
709C2×C4C22×D4×C10311yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×#120×C10311yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4B(4,𝔽2)×C10311yescharacteristic
744C4B(4,𝔽2)×C10311yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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×#3027C2semidirect
3. C103×#3025C2semidirect
4. C103×#3022C2semidirect
5. C103×#2199C2semidirect
6. C103×#2197C2semidirect
7. C103×#2129C2semidirect
8. C103×#2122C2semidirect
9. C103×#2120C2semidirect
12. H(3,𝔽4)×C103C22semidirect
17. #551×C103C22semidirect
43. #354×C103C22semidirect
44. #352×C103C22semidirect
45. AΣL(1,𝔽16)×C103C22semidirect
46. AΣL(1,𝔽16)×C103C22semidirect
59. C22×Q8×C103D4semidirect
60. C22×D4×C103D4semidirect
61. C23×C4×C103D4semidirect
68. C4⋊Q8×C103D4semidirect
89. #123×C103D4semidirect
111. #120×C103D4semidirect
112. #120×C103D4semidirect
128. #117×C103D4semidirect
129. #117×C103D4semidirect
130. #117×C103D4semidirect
368. #33555C103direct (N × H)
377. #3540C2×C103semidirect
378. #3027C2×C103semidirect
379. #3025C2×C103semidirect
380. #3022C2×C103semidirect
381. #2199C2×C103semidirect
382. #2197C2×C103semidirect
383. #2129C2×C103semidirect
384. #2122C2×C103semidirect
385. #2120C2×C103semidirect
386. C103#33555direct (N × H)
389. H(3,𝔽4)C22×C103semidirect
394. #551C22×C103semidirect
420. #354C22×C103semidirect
421. #352C22×C103semidirect
422. AΣL(1,𝔽16)C22×C103semidirect
423. AΣL(1,𝔽16)C22×C103semidirect
436. C22×Q8D4×C103semidirect
437. C22×D4D4×C103semidirect
438. C23×C4D4×C103semidirect
445. C4⋊Q8D4×C103semidirect
466. #123D4×C103semidirect
488. #120D4×C103semidirect
489. #120D4×C103semidirect
505. #117D4×C103semidirect
506. #117D4×C103semidirect
507. #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×#30272
C103×#30252
C103×#30222
C103×#21992
C103×#21972
C103×#21292
C103×#21222
C103×#21202
#33555103