Finite Group Databasebeta

← C2×C103×#2200 #39938823

Subgroups — C2×C103×#2200 #39938823

Order 26368.

1328 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#560×C103C211yesmaximal, characteristic, complemented
2C2×#458×C103C211yesmaximal, characteristic, complemented
3C2×B(4,𝔽2)×C103C211yesmaximal, characteristic, complemented
4C2×#453×C103C211yesmaximal, characteristic, complemented
5C103×#2200C218yesmaximal, direct product factor
6C2×#353×C103C211yesmaximal, characteristic, complemented
7C2×#352×C103C211yesmaximal, characteristic, complemented
8C2×AΣL(1,𝔽16)×C103C211yesmaximal, characteristic, complemented
9C2×H(5,𝔽2)×C103C2211yescharacteristic
10C2×AGL(1,ℤ/8)×C103—21no—
11#560×C103—22no—
12#560×C103—22no—
13#560×C103—22no—
14#560×C103C2214yescomplemented
15C2×#127×C103C2211yescharacteristic
16C2×#126×C103—21no—
17C2×#123×C103—21no—
18C2×#123×C103—21no—
19C2×#123×C103C2211yescharacteristic
20C2×#121×C103—21no—
21C2×#121×C103—21no—
22C2×#121×C103—21no—
23C2×#120×C103—21no—
24C2×#120×C103—21no—
25C2×#120×C103C2211yescharacteristic
26#458×C103—22no—
27#458×C103C2214yescomplemented
28B(4,𝔽2)×C103—22no—
29B(4,𝔽2)×C103C2214yescomplemented
30#453×C103—22no—
31#453×C103C2214yescomplemented
32C2×#104×C103—21no—
33C2×#100×C103C2211yescharacteristic
34C2×#99×C103—21no—
35C2×#99×C103—21no—
36C2×#99×C103C2211yescharacteristic
37C2×#99×C103C2211yescharacteristic
38#353×C103C2214yescomplemented
39#352×C103C2214yescomplemented
40AΣL(1,𝔽16)×C103C2214yescomplemented
41C25×C103D411yescharacteristic
42H(5,𝔽2)×C103—21no—
43H(5,𝔽2)×C103—21no—
44H(5,𝔽2)×C103—21no—
45H(5,𝔽2)×C103—42no—
46H(5,𝔽2)×C103C2312yes—
47C2×#41×C103—21no—
48C2×#41×C103—41no—
49C22×D4×C103—21no—
50C22×D4×C103—21no—
51C22×D4×C103—21no—
52C22×D4×C103—21no—
53C22×D4×C103—21no—
54C22×D4×C103—21no—
55C22×D4×C103—21no—
56C22×D4×C103—41no—
57C22×D4×C103—41no—
58C22×D4×C103D411yescharacteristic, complemented
59C22×D4×C103C2311yescharacteristic
60C23×C4×C103—21no—
61C23×C4×C103D411yescharacteristic, complemented
62AGL(1,ℤ/8)×C103—24no—
63AGL(1,ℤ/8)×C103—42no—
64C2×SD16×C103—41no—
65C2×D8×C103—41no—
66C2×M16×C103—21no—
67#127×C103—21no—
68#127×C103—21no—
69#127×C103D412yescomplemented
70#127×C103C2312yes—
71#126×C103—24no—
72#126×C103—24no—
73#123×C103—24no—
74#123×C103—21no—
75#123×C103—21no—
76#123×C103—24no—
77#123×C103—24no—
78#123×C103—42no—
79#123×C103D412yescomplemented
80#123×C103C2312yes—
81#121×C103—24no—
82#121×C103—24no—
83#121×C103—24no—
84#121×C103—24no—
85#121×C103—24no—
86#121×C103—24no—
87#120×C103—24no—
88#120×C103—24no—
89#120×C103—21no—
90#120×C103—21no—
91#120×C103—24no—
92#120×C103—42no—
93#120×C103D412yes—
94#120×C103C2312yes—
95C2×C4⋊C4×C103—21no—
96C2×C4⋊C4×C103—21no—
97C2×C4⋊C4×C103—21no—
98C2×C4⋊C4×C103—41no—
99C2×C22⋊C4×C103—21no—
100C2×C22⋊C4×C103—21no—
101C2×C22⋊C4×C103—21no—
102C2×C22⋊C4×C103—21no—
103C2×C22⋊C4×C103—21no—
104C2×C22⋊C4×C103—21no—
105C2×C22⋊C4×C103—21no—
106C2×C22⋊C4×C103—41no—
107C2×C22⋊C4×C103—41no—
108C2×C22⋊C4×C103D411yescharacteristic
109C2×C22⋊C4×C103D411yescharacteristic, complemented
110C2×C42×C103D411yescharacteristic, complemented
111#104×C103—24no—
112#100×C103—21no—
113#100×C103C2312yes—
114#99×C103—21no—
115#99×C103—21no—
116#99×C103—24no—
117#99×C103—24no—
118#99×C103C2312yes—
119#99×C103C2312yes—
120C24×C103—21no—
121C24×C103—21no—
122C24×C103—21no—
123C24×C103—21no—
124C24×C103—21no—
125C24×C103—41no—
126C24×C103—41no—
127C24×C103—82no—
128C24×C103C2×D411yescharacteristic
129C24×C103C2×D411yescharacteristic
130C24×C103C2×D412yes—
131#41×C103—22no—
132#41×C103—22no—
133#41×C103—42no—
134#41×C103—41no—
135#41×C103—42no—
136#41×C103—42no—
137#41×C103—42no—
138#41×C103—41no—
139C2×Q8×C103—21no—
140C2×D4×C103—21no—
141C2×D4×C103—22no—
142C2×D4×C103—22no—
143C2×D4×C103—22no—
144C2×D4×C103—22no—
145C2×D4×C103—24no—
146C2×D4×C103—24no—
147C2×D4×C103—22no—
148C2×D4×C103—22no—
149C2×D4×C103—22no—
150C2×D4×C103—22no—
151C2×D4×C103—22no—
152C2×D4×C103—22no—
153C2×D4×C103—21no—
154C2×D4×C103—41no—
155C2×D4×C103—41no—
156C2×D4×C103—41no—
157C2×D4×C103—41no—
158C2×D4×C103—42no—
159C2×D4×C103—42no—
160C2×D4×C103—41no—
161C2×D4×C103—41no—
162C2×D4×C103—41no—
163C2×D4×C103—41no—
164C2×D4×C103—42no—
165C2×D4×C103—42no—
166C2×D4×C103—41no—
167C2×D4×C103—41no—
168C2×D4×C103—41no—
169C2×D4×C103—44no—
170C2×D4×C103—82no—
171C2×D4×C103—82no—
172C2×D4×C103—82no—
173C2×D4×C103—82no—
174C2×D4×C103—81no—
175C2×D4×C103—81no—
176C2×D4×C103—84no—
177C2×D4×C103C2×D411yescharacteristic
178C2×D4×C103C2×D411yescharacteristic
179C2×D4×C103C2×D411yescharacteristic
180C2×D4×C103C2×D412yescomplemented
181C2×D4×C103C2411yescharacteristic
182C22×C4×C103—21no—
183C22×C4×C103—21no—
184C22×C4×C103—21no—
185C22×C4×C103—21no—
186C22×C4×C103—21no—
187C22×C4×C103—21no—
188C22×C4×C103—24no—
189C22×C4×C103—21no—
190C22×C4×C103—41no—
191C22×C4×C103—41no—
192C22×C4×C103—41no—
193C22×C4×C103—41no—
194C22×C4×C103—41no—
195C22×C4×C103—82no—
196C22×C4×C103C2×D411yescharacteristic
197C22×C4×C103C2×D412yescomplemented
198SD16×C103—44no—
199D8×C103—44no—
200M16×C103—22no—
201M16×C103—41no—
202C2×C8×C103—41no—
203C4⋊C4×C103—24no—
204C4⋊C4×C103—24no—
205C4⋊C4×C103—22no—
206C4⋊C4×C103—22no—
207C4⋊C4×C103—44no—
208C22⋊C4×C103—24no—
209C22⋊C4×C103—24no—
210C22⋊C4×C103—24no—
211C22⋊C4×C103—22no—
212C22⋊C4×C103—21no—
213C22⋊C4×C103—21no—
214C22⋊C4×C103—22no—
215C22⋊C4×C103—22no—
216C22⋊C4×C103—22no—
217C22⋊C4×C103—22no—
218C22⋊C4×C103—22no—
219C22⋊C4×C103—44no—
220C22⋊C4×C103—41no—
221C22⋊C4×C103—41no—
222C22⋊C4×C103—44no—
223C22⋊C4×C103C2×D412yes—
224C22⋊C4×C103C2×D412yescomplemented
225C42×C103—21no—
226C42×C103C2×D412yescomplemented
227C23×C103—21no—
228C23×C103—21no—
229C23×C103—21no—
230C23×C103—21no—
231C23×C103—22no—
232C23×C103—22no—
233C23×C103—22no—
234C23×C103—22no—
235C23×C103—42no—
236C23×C103—42no—
237C23×C103—42no—
238C23×C103—42no—
239C23×C103—42no—
240C23×C103—42no—
241C23×C103—42no—
242C23×C103—41no—
243C23×C103—41no—
244C23×C103—44no—
245C23×C103—41no—
246C23×C103—41no—
247C23×C103—41no—
248C23×C103—41no—
249C23×C103—41no—
250C23×C103—81no—
251C23×C103—82no—
252C23×C103—82no—
253C23×C103—82no—
254C23×C103—84no—
255C23×C103—82no—
256C23×C103—82no—
257C23×C103#12011yescharacteristic
258C23×C103#12011yescharacteristic
259C23×C103#12011yescharacteristic
260C23×C103C22×D411yescharacteristic
261C23×C103C22×D411yescharacteristic
262Q8×C103—22no—
263Q8×C103—41no—
264D4×C103—22no—
265D4×C103—41no—
266D4×C103—41no—
267D4×C103—41no—
268D4×C103—41no—
269D4×C103—42no—
270D4×C103—41no—
271D4×C103—42no—
272D4×C103—42no—
273D4×C103—42no—
274D4×C103—42no—
275D4×C103—42no—
276D4×C103—42no—
277D4×C103—81no—
278D4×C103—82no—
279D4×C103—82no—
280D4×C103—84no—
281D4×C103—82no—
282D4×C103—82no—
283D4×C103—82no—
284D4×C103—82no—
285D4×C103—84no—
286D4×C103—88no—
287C2×C4×C103—21no—
288C2×C4×C103—21no—
289C2×C4×C103—22no—
290C2×C4×C103—22no—
291C2×C4×C103—22no—
292C2×C4×C103—22no—
293C2×C4×C103—22no—
294C2×C4×C103—22no—
295C2×C4×C103—42no—
296C2×C4×C103—42no—
297C2×C4×C103—42no—
298C2×C4×C103—42no—
299C2×C4×C103—41no—
300C2×C4×C103—41no—
301C2×C4×C103—42no—
302C2×C4×C103—41no—
303C2×C4×C103—41no—
304C2×C4×C103—41no—
305C2×C4×C103—42no—
306C2×C4×C103—42no—
307C2×C4×C103—42no—
308C2×C4×C103—81no—
309C2×C4×C103—84no—
310C2×C4×C103—82no—
311C2×C4×C103—82no—
312C2×C4×C103#12011yescharacteristic
313C2×C4×C103C22×D411yescharacteristic
314C8×C103—42no—
315C22×C103—22no—
316C22×C103—21no—
317C22×C103—21no—
318C22×C103—21no—
319C22×C103—21no—
320C22×C103—41no—
321C22×C103—41no—
322C22×C103—41no—
323C22×C103—41no—
324C22×C103—42no—
325C22×C103—42no—
326C22×C103—42no—
327C22×C103—42no—
328C22×C103—42no—
329C22×C103—42no—
330C22×C103—44no—
331C22×C103—42no—
332C22×C103—42no—
333C22×C103—42no—
334C22×C103—81no—
335C22×C103—81no—
336C22×C103—82no—
337C22×C103—82no—
338C22×C103—82no—
339C22×C103—82no—
340C22×C103—82no—
341C22×C103—84no—
342C22×C103—82no—
343C22×C103—82no—
344C22×C103—82no—
345C22×C103—161no—
346C22×C103—161no—
347C22×C103B(4,𝔽2)11yescharacteristic
348C22×C103B(4,𝔽2)11yescharacteristic
349C22×C103C2×#12011yescharacteristic
350C4×C103—21no—
351C4×C103—21no—
352C4×C103—42no—
353C4×C103—42no—
354C4×C103—42no—
355C4×C103—42no—
356C4×C103—42no—
357C4×C103—82no—
358C4×C103—82no—
359C2×#2200C10311yesmaximal, characteristic, direct product factor, Sylow
360C2×C103—21no—
361C2×C103—21no—
362C2×C103—41no—
363C2×C103—41no—
364C2×C103—41no—
365C2×C103—41no—
366C2×C103—82no—
367C2×C103—82no—
368C2×C103—82no—
369C2×C103#220012yesdirect product factor
370C2×C103C2×B(4,𝔽2)11yescharacteristic
371C2×#560C2×C10311yescharacteristic, complemented
372C2×#458C2×C10311yescharacteristic, complemented
373C2×B(4,𝔽2)C2×C10311yescharacteristic, complemented
374C2×#453C2×C10311yescharacteristic, complemented
375#2200C2×C10318yesdirect product factor
376C2×#353C2×C10311yescharacteristic, complemented
377C2×#352C2×C10311yescharacteristic, complemented
378C2×AΣL(1,𝔽16)C2×C10311yescharacteristic, complemented
379C103C2×#220011yescharacteristic, direct product factor, Sylow
380C2×H(5,𝔽2)C22×C10311yescharacteristic
381C2×AGL(1,ℤ/8)—21no—
382#560—22no—
383#560—22no—
384#560—22no—
385#560C22×C10314yescomplemented
386C2×#127C22×C10311yescharacteristic
387C2×#126—21no—
388C2×#123—21no—
389C2×#123—21no—
390C2×#123C22×C10311yescharacteristic
391C2×#121—21no—
392C2×#121—21no—
393C2×#121—21no—
394C2×#120—21no—
395C2×#120—21no—
396C2×#120C22×C10311yescharacteristic
397#458—22no—
398#458C22×C10314yescomplemented
399B(4,𝔽2)—22no—
400B(4,𝔽2)C22×C10314yescomplemented
401#453—22no—
402#453C22×C10314yescomplemented
403C2×#104—21no—
404C2×#100C22×C10311yescharacteristic
405C2×#99—21no—
406C2×#99—21no—
407C2×#99C22×C10311yescharacteristic
408C2×#99C22×C10311yescharacteristic
409#353C22×C10314yescomplemented
410#352C22×C10314yescomplemented
411AΣL(1,𝔽16)C22×C10314yescomplemented
412C25D4×C10311yescharacteristic
413H(5,𝔽2)—21no—
414H(5,𝔽2)—21no—
415H(5,𝔽2)—21no—
416H(5,𝔽2)—42no—
417H(5,𝔽2)C23×C10312yes—
418C2×#41—21no—
419C2×#41—41no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—41no—
428C22×D4—41no—
429C22×D4D4×C10311yescharacteristic, complemented
430C22×D4C23×C10311yescharacteristic
431C23×C4—21no—
432C23×C4D4×C10311yescharacteristic, complemented
433AGL(1,ℤ/8)—24no—
434AGL(1,ℤ/8)—42no—
435C2×SD16—41no—
436C2×D8—41no—
437C2×M16—21no—
438#127—21no—
439#127—21no—
440#127D4×C10312yescomplemented
441#127C23×C10312yes—
442#126—24no—
443#126—24no—
444#123—24no—
445#123—21no—
446#123—21no—
447#123—24no—
448#123—24no—
449#123—42no—
450#123D4×C10312yescomplemented
451#123C23×C10312yes—
452#121—24no—
453#121—24no—
454#121—24no—
455#121—24no—
456#121—24no—
457#121—24no—
458#120—24no—
459#120—24no—
460#120—21no—
461#120—21no—
462#120—24no—
463#120—42no—
464#120D4×C10312yes—
465#120C23×C10312yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—41no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—41no—
478C2×C22⋊C4—41no—
479C2×C22⋊C4D4×C10311yescharacteristic
480C2×C22⋊C4D4×C10311yescharacteristic, complemented
481C2×C42D4×C10311yescharacteristic, complemented
482#104—24no—
483#100—21no—
484#100C23×C10312yes—
485#99—21no—
486#99—21no—
487#99—24no—
488#99—24no—
489#99C23×C10312yes—
490#99C23×C10312yes—
491C24—21no—
492C24—21no—
493C24—21no—
494C24—21no—
495C24—21no—
496C24—41no—
497C24—41no—
498C24—82no—
499C24C2×D4×C10311yescharacteristic
500C24C2×D4×C10311yescharacteristic
501C24C2×D4×C10312yes—
502#41—22no—
503#41—22no—
504#41—42no—
505#41—41no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—41no—
510C2×Q8—21no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—41no—
532C2×D4—41no—
533C2×D4—41no—
534C2×D4—41no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—41no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—44no—
541C2×D4—82no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4—82no—
545C2×D4—81no—
546C2×D4—81no—
547C2×D4—84no—
548C2×D4C2×D4×C10311yescharacteristic
549C2×D4C2×D4×C10311yescharacteristic
550C2×D4C2×D4×C10311yescharacteristic
551C2×D4C2×D4×C10312yescomplemented
552C2×D4C24×C10311yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—21no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—82no—
567C22×C4C2×D4×C10311yescharacteristic
568C22×C4C2×D4×C10312yescomplemented
569SD16—44no—
570D8—44no—
571M16—22no—
572M16—41no—
573C2×C8—41no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—44no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—44no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4C2×D4×C10312yes—
595C22⋊C4C2×D4×C10312yescomplemented
596C42—21no—
597C42C2×D4×C10312yescomplemented
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—44no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—84no—
626C23—82no—
627C23—82no—
628C23#120×C10311yescharacteristic
629C23#120×C10311yescharacteristic
630C23#120×C10311yescharacteristic
631C23C22×D4×C10311yescharacteristic
632C23C22×D4×C10311yescharacteristic
633Q8—22no—
634Q8—41no—
635D4—22no—
636D4—41no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—42no—
641D4—41no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—84no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—84no—
657D4—88no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—81no—
680C2×C4—84no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#120×C10311yescharacteristic
684C2×C4C22×D4×C10311yescharacteristic
685C8—42no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—84no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—161no—
717C22—161no—
718C22B(4,𝔽2)×C10311yescharacteristic
719C22B(4,𝔽2)×C10311yescharacteristic
720C22C2×#120×C10311yescharacteristic
721C4—21no—
722C4—21no—
723C4—42no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—42no—
728C4—82no—
729C4—82no—
730C2—21no—
731C2—21no—
732C2—41no—
733C2—41no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—82no—
739C2C103×#220012yesdirect product factor
740C2C2×B(4,𝔽2)×C10311yescharacteristic
subgroupG/H
center, socleC22×C103B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C103
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C103 ◁ C23×C103 ◁ C22×D4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#560×C103C2semidirect
2. C2×#458×C103C2semidirect
3. C2×B(4,𝔽2)×C103C2semidirect
4. C2×#453×C103C2semidirect
5. C103×#2200C2direct (N × H)
6. C2×#353×C103C2semidirect
7. C2×#352×C103C2semidirect
8. C2×AΣL(1,𝔽16)×C103C2semidirect
14. #560×C103C22semidirect
27. #458×C103C22semidirect
29. B(4,𝔽2)×C103C22semidirect
31. #453×C103C22semidirect
38. #353×C103C22semidirect
39. #352×C103C22semidirect
40. AΣL(1,𝔽16)×C103C22semidirect
58. C22×D4×C103D4semidirect
61. C23×C4×C103D4semidirect
69. #127×C103D4semidirect
79. #123×C103D4semidirect
109. C2×C22⋊C4×C103D4semidirect
110. C2×C42×C103D4semidirect
180. C2×D4×C103C2×D4semidirect
197. C22×C4×C103C2×D4semidirect
224. C22⋊C4×C103C2×D4semidirect
226. C42×C103C2×D4semidirect
359. C2×#2200C103direct (N × H)
369. C2×C103#2200direct (N × H)
371. C2×#560C2×C103semidirect
372. C2×#458C2×C103semidirect
373. C2×B(4,𝔽2)C2×C103semidirect
374. C2×#453C2×C103semidirect
375. #2200C2×C103direct (N × H)
376. C2×#353C2×C103semidirect
377. C2×#352C2×C103semidirect
378. C2×AΣL(1,𝔽16)C2×C103semidirect
379. C103C2×#2200direct (N × H)
385. #560C22×C103semidirect
398. #458C22×C103semidirect
400. B(4,𝔽2)C22×C103semidirect
402. #453C22×C103semidirect
409. #353C22×C103semidirect
410. #352C22×C103semidirect
411. AΣL(1,𝔽16)C22×C103semidirect
429. C22×D4D4×C103semidirect
432. C23×C4D4×C103semidirect
440. #127D4×C103semidirect
450. #123D4×C103semidirect
480. C2×C22⋊C4D4×C103semidirect
481. C2×C42D4×C103semidirect
551. C2×D4C2×D4×C103semidirect
568. C22×C4C2×D4×C103semidirect
595. C22⋊C4C2×D4×C103semidirect
597. C42C2×D4×C103semidirect
739. C2C103×#2200direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#560×C1032
C2×#458×C1032
C2×B(4,𝔽2)×C1032
C2×#453×C1032
C103×#22002
C2×#353×C1032
C2×#352×C1032
C2×AΣL(1,𝔽16)×C1032
C2×#2200103