Finite Group Databasebeta

← C103×#33560 #39938835

Subgroups — C103×#33560 #39938835

Order 26368.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3551C211yesmaximal, characteristic, complemented
2C103×#3028C211yesmaximal, characteristic, complemented
3C103×#3027C211yesmaximal, characteristic, complemented
4C103×#3018C211yesmaximal, characteristic, complemented
5C103×#2200C214yesmaximal, complemented
6C103×#2197C214yesmaximal, complemented
7C103×#2126C211yesmaximal, characteristic, complemented
8C103×#2123C211yesmaximal, characteristic, complemented
9C103×#2122C211yesmaximal, characteristic, complemented
10#585×C103C2211yescharacteristic
11#575×C103—21no—
12#563×C103—21no—
13#560×C103C2212yescomplemented
14#555×C103—21no—
15#553×C103—21no—
16#552×C103—21no—
17#551×C103C2212yescomplemented
18#548×C103—21no—
19#546×C103—21no—
20#540×C103—22no—
21#538×C103—22no—
22#537×C103—21no—
23#536×C103—21no—
24#536×C103C2211yescharacteristic
25#535×C103—21no—
26#535×C103C2211yescharacteristic
27#532×C103C2211yescharacteristic
28#529×C103—21no—
29#458×C103—22no—
30#458×C103C2214yes—
31B(4,𝔽2)×C103—22no—
32B(4,𝔽2)×C103C2214yes—
33#456×C103—21no—
34#455×C103C2212yes—
35#454×C103—21no—
36#453×C103C2212yes—
37C2×#104×C103—21no—
38#413×C103C2211yescharacteristic
39#410×C103—21no—
40#410×C103—21no—
41#410×C103C2211yescharacteristic
42#410×C103C2211yescharacteristic
43#354×C103C2212yescomplemented
44#353×C103C2212yescomplemented
45#352×C103C2214yescomplemented
46AΣL(1,𝔽16)×C103C2214yescomplemented
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×C103D411yescharacteristic, complemented
59C2×#41×C103C2311yescharacteristic
60C22×Q8×C103D411yescharacteristic, complemented
61C22×D4×C103D411yescharacteristic
62#137×C103—22no—
63#137×C103—41no—
64AGL(1,ℤ/8)×C103—22no—
65AGL(1,ℤ/8)×C103—41no—
66#135×C103—42no—
67C2×M16×C103—21no—
68C4⋊Q8×C103—21no—
69C4⋊Q8×C103—41no—
70C4⋊Q8×C103D411yescharacteristic, complemented
71#127×C103—21no—
72#127×C103—41no—
73#127×C103C2311yescharacteristic
74#126×C103—22no—
75#126×C103—22no—
76#126×C103—22no—
77#125×C103—21no—
78#125×C103—22no—
79#124×C103—21no—
80#124×C103—22no—
81#124×C103—21no—
82#124×C103—21no—
83#124×C103—41no—
84#124×C103—41no—
85#124×C103D411yescharacteristic, complemented
86#124×C103C2311yescharacteristic
87#123×C103—22no—
88#123×C103—22no—
89#123×C103—22no—
90#123×C103—22no—
91#123×C103—24no—
92#123×C103D412yescomplemented
93#123×C103C2312yes—
94C22⋊Q8×C103—21no—
95C22⋊Q8×C103—22no—
96C22⋊Q8×C103—22no—
97C22⋊Q8×C103—21no—
98C22⋊Q8×C103—21no—
99C22⋊Q8×C103—42no—
100#121×C103—22no—
101#121×C103—22no—
102#121×C103—21no—
103#121×C103—22no—
104#121×C103—21no—
105#121×C103—21no—
106#121×C103—22no—
107#121×C103—21no—
108#121×C103—21no—
109#121×C103—22no—
110#121×C103—22no—
111#121×C103—42no—
112#120×C103—22no—
113#120×C103—24no—
114#120×C103D412yes—
115#120×C103C2312yes—
116C4×Q8×C103—21no—
117C4×D4×C103—22no—
118C4×D4×C103—21no—
119C4×D4×C103—22no—
120C4×D4×C103—21no—
121C4×D4×C103—21no—
122C4×D4×C103—22no—
123#117×C103—22no—
124#117×C103—22no—
125#117×C103—21no—
126#117×C103—21no—
127#117×C103D411yescharacteristic
128#117×C103D411yescharacteristic, complemented
129C2×C4⋊C4×C103—21no—
130C2×C22⋊C4×C103—22no—
131C2×C42×C103D411yescharacteristic, complemented
132#104×C103—22no—
133#104×C103—22no—
134#101×C103—21no—
135#100×C103C2312yes—
136#99×C103—21no—
137#99×C103—21no—
138#99×C103—24no—
139#99×C103—24no—
140#99×C103C2312yes—
141#99×C103C2312yes—
142C24×C103C2×D412yes—
143#41×C103—22no—
144#41×C103—22no—
145#41×C103—41no—
146#41×C103—41no—
147#41×C103—42no—
148#41×C103—41no—
149#41×C103—41no—
150#41×C103—41no—
151#41×C103—41no—
152#41×C103—41no—
153#41×C103—42no—
154#41×C103—42no—
155#41×C103—41no—
156#41×C103—41no—
157#41×C103—42no—
158#41×C103—41no—
159#41×C103—41no—
160#41×C103—41no—
161#41×C103—81no—
162#41×C103—81no—
163C2×Q8×C103—21no—
164C2×Q8×C103—21no—
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×Q8×C103C2×D411yescharacteristic
173C2×D4×C103—21no—
174C2×D4×C103—21no—
175C2×D4×C103—21no—
176C2×D4×C103—22no—
177C2×D4×C103—22no—
178C2×D4×C103—22no—
179C2×D4×C103—22no—
180C2×D4×C103—22no—
181C2×D4×C103—21no—
182C2×D4×C103—21no—
183C2×D4×C103—22no—
184C2×D4×C103—21no—
185C2×D4×C103—21no—
186C2×D4×C103—21no—
187C2×D4×C103—41no—
188C2×D4×C103—41no—
189C2×D4×C103—42no—
190C2×D4×C103—42no—
191C2×D4×C103—42no—
192C2×D4×C103—41no—
193C2×D4×C103—44no—
194C2×D4×C103C2×D411yescharacteristic
195C2×D4×C103C2×D411yescharacteristic
196C2×D4×C103C2×D411yescharacteristic
197C2×D4×C103C2411yescharacteristic
198C22×C4×C103—22no—
199C22×C4×C103—22no—
200C22×C4×C103—22no—
201C22×C4×C103—22no—
202C22×C4×C103—22no—
203C22×C4×C103—21no—
204C22×C4×C103—21no—
205C22×C4×C103—41no—
206C22×C4×C103C2×D411yescharacteristic
207C22×C4×C103C2×D411yescharacteristic
208C22×C4×C103C2×D411yescharacteristic
209C22×C4×C103C2×D412yes—
210Q16×C103—42no—
211SD16×C103—42no—
212SD16×C103—42no—
213D8×C103—42no—
214M16×C103—22no—
215M16×C103—41no—
216C2×C8×C103—41no—
217C4⋊C4×C103—22no—
218C4⋊C4×C103—22no—
219C4⋊C4×C103—22no—
220C4⋊C4×C103—22no—
221C4⋊C4×C103—22no—
222C4⋊C4×C103—22no—
223C4⋊C4×C103—21no—
224C4⋊C4×C103—21no—
225C4⋊C4×C103—21no—
226C4⋊C4×C103—21no—
227C4⋊C4×C103—22no—
228C4⋊C4×C103—41no—
229C4⋊C4×C103—41no—
230C4⋊C4×C103—44no—
231C22⋊C4×C103—22no—
232C22⋊C4×C103—22no—
233C22⋊C4×C103—22no—
234C22⋊C4×C103—22no—
235C22⋊C4×C103—22no—
236C22⋊C4×C103—22no—
237C22⋊C4×C103—21no—
238C22⋊C4×C103—22no—
239C22⋊C4×C103—21no—
240C22⋊C4×C103—21no—
241C22⋊C4×C103—21no—
242C22⋊C4×C103—22no—
243C22⋊C4×C103—22no—
244C22⋊C4×C103—22no—
245C22⋊C4×C103—22no—
246C22⋊C4×C103—44no—
247C22⋊C4×C103—44no—
248C22⋊C4×C103C2×D412yes—
249C22⋊C4×C103C2×D412yes—
250C42×C103—22no—
251C42×C103—21no—
252C42×C103—21no—
253C42×C103—21no—
254C42×C103—41no—
255C42×C103—41no—
256C42×C103C2×D411yescharacteristic
257C42×C103C2×D411yescharacteristic
258C23×C103—22no—
259C23×C103—22no—
260C23×C103—22no—
261C23×C103—21no—
262C23×C103—41no—
263C23×C103—42no—
264C23×C103—82no—
265C23×C103#12011yescharacteristic
266C23×C103C22×D411yescharacteristic
267C23×C103C22×D411yescharacteristic
268Q8×C103—22no—
269Q8×C103—41no—
270Q8×C103—41no—
271Q8×C103—41no—
272Q8×C103—41no—
273Q8×C103—41no—
274Q8×C103—41no—
275Q8×C103—41no—
276Q8×C103—81no—
277D4×C103—22no—
278D4×C103—41no—
279D4×C103—41no—
280D4×C103—41no—
281D4×C103—41no—
282D4×C103—41no—
283D4×C103—41no—
284D4×C103—42no—
285D4×C103—42no—
286D4×C103—42no—
287D4×C103—42no—
288D4×C103—41no—
289D4×C103—41no—
290D4×C103—41no—
291D4×C103—81no—
292D4×C103—81no—
293D4×C103—82no—
294D4×C103—82no—
295D4×C103—82no—
296D4×C103—81no—
297D4×C103—81no—
298D4×C103—82no—
299D4×C103—164no—
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—21no—
311C2×C4×C103—22no—
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—42no—
322C2×C4×C103—42no—
323C2×C4×C103—42no—
324C2×C4×C103—82no—
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—41no—
340C22×C103—42no—
341C22×C103—41no—
342C22×C103—42no—
343C22×C103—42no—
344C22×C103—41no—
345C22×C103—42no—
346C22×C103—82no—
347C22×C103—84no—
348C22×C103—82no—
349C22×C103—161no—
350C22×C103C2×#12011yescharacteristic
351C4×C103—21no—
352C4×C103—21no—
353C4×C103—21no—
354C4×C103—41no—
355C4×C103—42no—
356C4×C103—42no—
357C4×C103—41no—
358C4×C103—42no—
359C4×C103—41no—
360C4×C103—42no—
361C4×C103—82no—
362C4×C103—82no—
363C4×C103B(4,𝔽2)11yescharacteristic
364C4×C103B(4,𝔽2)11yescharacteristic
365#33560C10311yesmaximal, characteristic, direct product factor, Sylow
366C2×C103—21no—
367C2×C103—41no—
368C2×C103—41no—
369C2×C103—41no—
370C2×C103—81no—
371C2×C103—82no—
372C2×C103—82no—
373C2×C103C2×B(4,𝔽2)11yescharacteristic
374#3551C2×C10311yescharacteristic, complemented
375#3028C2×C10311yescharacteristic, complemented
376#3027C2×C10311yescharacteristic, complemented
377#3018C2×C10311yescharacteristic, complemented
378#2200C2×C10314yescomplemented
379#2197C2×C10314yescomplemented
380#2126C2×C10311yescharacteristic, complemented
381#2123C2×C10311yescharacteristic, complemented
382#2122C2×C10311yescharacteristic, complemented
383C103#3356011yescharacteristic, direct product factor, Sylow
384#585C22×C10311yescharacteristic
385#575—21no—
386#563—21no—
387#560C22×C10312yescomplemented
388#555—21no—
389#553—21no—
390#552—21no—
391#551C22×C10312yescomplemented
392#548—21no—
393#546—21no—
394#540—22no—
395#538—22no—
396#537—21no—
397#536—21no—
398#536C22×C10311yescharacteristic
399#535—21no—
400#535C22×C10311yescharacteristic
401#532C22×C10311yescharacteristic
402#529—21no—
403#458—22no—
404#458C22×C10314yes—
405B(4,𝔽2)—22no—
406B(4,𝔽2)C22×C10314yes—
407#456—21no—
408#455C22×C10312yes—
409#454—21no—
410#453C22×C10312yes—
411C2×#104—21no—
412#413C22×C10311yescharacteristic
413#410—21no—
414#410—21no—
415#410C22×C10311yescharacteristic
416#410C22×C10311yescharacteristic
417#354C22×C10312yescomplemented
418#353C22×C10312yescomplemented
419#352C22×C10314yescomplemented
420AΣL(1,𝔽16)C22×C10314yescomplemented
4212−1+4—21no—
4222−1+4—41no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—21no—
425H(5,𝔽2)—41no—
426H(5,𝔽2)C23×C10312yes—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—42no—
432C2×#41D4×C10311yescharacteristic, complemented
433C2×#41C23×C10311yescharacteristic
434C22×Q8D4×C10311yescharacteristic, complemented
435C22×D4D4×C10311yescharacteristic
436#137—22no—
437#137—41no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440#135—42no—
441C2×M16—21no—
442C4⋊Q8—21no—
443C4⋊Q8—41no—
444C4⋊Q8D4×C10311yescharacteristic, complemented
445#127—21no—
446#127—41no—
447#127C23×C10311yescharacteristic
448#126—22no—
449#126—22no—
450#126—22no—
451#125—21no—
452#125—22no—
453#124—21no—
454#124—22no—
455#124—21no—
456#124—21no—
457#124—41no—
458#124—41no—
459#124D4×C10311yescharacteristic, complemented
460#124C23×C10311yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—22no—
465#123—24no—
466#123D4×C10312yescomplemented
467#123C23×C10312yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—42no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—22no—
484#121—22no—
485#121—42no—
486#120—22no—
487#120—24no—
488#120D4×C10312yes—
489#120C23×C10312yes—
490C4×Q8—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497#117—22no—
498#117—22no—
499#117—21no—
500#117—21no—
501#117D4×C10311yescharacteristic
502#117D4×C10311yescharacteristic, complemented
503C2×C4⋊C4—21no—
504C2×C22⋊C4—22no—
505C2×C42D4×C10311yescharacteristic, complemented
506#104—22no—
507#104—22no—
508#101—21no—
509#100C23×C10312yes—
510#99—21no—
511#99—21no—
512#99—24no—
513#99—24no—
514#99C23×C10312yes—
515#99C23×C10312yes—
516C24C2×D4×C10312yes—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8C2×D4×C10311yescharacteristic
546C2×Q8C2×D4×C10311yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—44no—
568C2×D4C2×D4×C10311yescharacteristic
569C2×D4C2×D4×C10311yescharacteristic
570C2×D4C2×D4×C10311yescharacteristic
571C2×D4C24×C10311yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4C2×D4×C10311yescharacteristic
581C22×C4C2×D4×C10311yescharacteristic
582C22×C4C2×D4×C10311yescharacteristic
583C22×C4C2×D4×C10312yes—
584Q16—42no—
585SD16—42no—
586SD16—42no—
587D8—42no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—44no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4C2×D4×C10312yes—
623C22⋊C4C2×D4×C10312yes—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—41no—
629C42—41no—
630C42C2×D4×C10311yescharacteristic
631C42C2×D4×C10311yescharacteristic
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23#120×C10311yescharacteristic
640C23C22×D4×C10311yescharacteristic
641C23C22×D4×C10311yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—82no—
671D4—81no—
672D4—81no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—81no—
701C2×C4—82no—
702C2×C4#120×C10311yescharacteristic
703C2×C4#120×C10311yescharacteristic
704C2×C4#120×C10311yescharacteristic
705C2×C4C22×D4×C10311yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×#120×C10311yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4B(4,𝔽2)×C10311yescharacteristic
738C4B(4,𝔽2)×C10311yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×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×#3551C2semidirect
2. C103×#3028C2semidirect
3. C103×#3027C2semidirect
4. C103×#3018C2semidirect
5. C103×#2200C2semidirect
6. C103×#2197C2semidirect
7. C103×#2126C2semidirect
8. C103×#2123C2semidirect
9. C103×#2122C2semidirect
13. #560×C103C22semidirect
17. #551×C103C22semidirect
43. #354×C103C22semidirect
44. #353×C103C22semidirect
45. #352×C103C22semidirect
46. AΣL(1,𝔽16)×C103C22semidirect
58. C2×#41×C103D4semidirect
60. C22×Q8×C103D4semidirect
70. C4⋊Q8×C103D4semidirect
85. #124×C103D4semidirect
92. #123×C103D4semidirect
128. #117×C103D4semidirect
131. C2×C42×C103D4semidirect
365. #33560C103direct (N × H)
374. #3551C2×C103semidirect
375. #3028C2×C103semidirect
376. #3027C2×C103semidirect
377. #3018C2×C103semidirect
378. #2200C2×C103semidirect
379. #2197C2×C103semidirect
380. #2126C2×C103semidirect
381. #2123C2×C103semidirect
382. #2122C2×C103semidirect
383. C103#33560direct (N × H)
387. #560C22×C103semidirect
391. #551C22×C103semidirect
417. #354C22×C103semidirect
418. #353C22×C103semidirect
419. #352C22×C103semidirect
420. AΣL(1,𝔽16)C22×C103semidirect
432. C2×#41D4×C103semidirect
434. C22×Q8D4×C103semidirect
444. C4⋊Q8D4×C103semidirect
459. #124D4×C103semidirect
466. #123D4×C103semidirect
502. #117D4×C103semidirect
505. C2×C42D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35512
C103×#30282
C103×#30272
C103×#30182
C103×#22002
C103×#21972
C103×#21262
C103×#21232
C103×#21222
#33560103