Finite Group Databasebeta

← #27209294

Subgroups — #27209294

Order 13184.

1336 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20268534C211yesmaximal, characteristic, complemented
2#20268529C212yesmaximal, complemented
3#20268528C211yesmaximal, characteristic, complemented
4#20268472C211yesmaximal, characteristic, complemented
5#20268470C212yesmaximal, complemented
6#20268435C212yesmaximal, complemented
7#20268430C212yesmaximal, complemented
8#20268428C212yesmaximal, complemented
9D4×C22⋊D103C212yesmaximal, complemented
10#20268378C212yesmaximal, complemented
11#20268374C212yesmaximal, complemented
12#20268373C212yesmaximal, complemented
13#20268356C212yesmaximal, complemented
14#20268354C211yesmaximal, characteristic, complemented
15#20268351C211yesmaximal, characteristic, complemented
16#20268350C212yesmaximal, complemented
17C2×#15692989C212yesmaximal, complemented
18#120×D103C211yesmaximal, characteristic, complemented
19D42×C103C211yesmaximal, characteristic, complemented
20C24×D103C2211yescharacteristic, complemented
21C2×#13110104C2212yescomplemented
22C2×#13110104C2211yescharacteristic, complemented
23C22×C22⋊D103C2212yescomplemented
24C22×C22⋊D103C2212yescomplemented
25C22×C22⋊D103C2211yescharacteristic, complemented
26C2×D4×D103C2211yescharacteristic, complemented
27C2×D4×D103C2212yescomplemented
28#15693017C2211yescharacteristic, complemented
29#15693017C2212yescomplemented
30#15693016C2212yescomplemented
31#15693016C2212yescomplemented
32#15693015C2212yescomplemented
33#15693014C2212yescomplemented
34#15693009C2211yescharacteristic, complemented
35#15693008C2211yescharacteristic, complemented
36#15693008C2212yescomplemented
37#15693007C2212yescomplemented
38#15693007C2212yescomplemented
39#15693007C2212yescomplemented
40#15693007C2212yescomplemented
41#15693006C2212yescomplemented
42#15693005C2211yescharacteristic, complemented
43#15693005C2212yescomplemented
44#15693004C2212yescomplemented
45#15693004C2212yescomplemented
46#15693003C2212yescomplemented
47#15693002C2211yescharacteristic, complemented
48#15693002C2212yescomplemented
49#15693002C2212yescomplemented
50#15693002C2212yescomplemented
51#15693000C2212yescomplemented
52#15692999C2212yescomplemented
53#15692998C2212yescomplemented
54#15692995C2212yescomplemented
55#15692994C2212yescomplemented
56#15692994C2212yescomplemented
57#15692993C2212yescomplemented
58#15692993C2212yescomplemented
59#15692993C2212yescomplemented
60#15692993C2212yescomplemented
61#15692993C2212yescomplemented
62#15692993C2212yescomplemented
63#15692993C2212yescomplemented
64#15692993C2212yescomplemented
65#15692992C2212yescomplemented
66#15692992C2212yescomplemented
67#15692991C2212yescomplemented
68#15692991C2211yescharacteristic, complemented
69#15692990C2211yescharacteristic, complemented
70#15692990C2212yescomplemented
71#15692990C2211yescharacteristic, complemented
72#15692990C2212yescomplemented
73#15692989C2212yes—
74#15692989C2212yescomplemented
75#15692989C2212yescomplemented
76#15692989C2212yescomplemented
77#15692989C2212yescomplemented
78#15692989C2212yescomplemented
79#15692989C2212yescomplemented
80#15692989C2212yescomplemented
81#15692989C2211yescharacteristic, complemented
82#15692989C2212yescomplemented
83#15692989C2212yescomplemented
84D4×Dic103C2212yescomplemented
85D4×Dic103C2212yescomplemented
86C4×C22⋊D103C2212yescomplemented
87C4×C22⋊D103C2212yescomplemented
88(C22⋊D103)⋊C4C2212yescomplemented
89#15692978C2211yescharacteristic, complemented
90#15692977C2212yescomplemented
91C2×C22⋊Dic103C2212yescomplemented
92C2×C22⋊Dic103C2212yescomplemented
93C2×(C2×D103)⋊C4C2212yescomplemented
94C2×(C2×D103)⋊C4C2212yescomplemented
95C22⋊C4×D103C2211yescharacteristic, complemented
96C22⋊C4×D103C2212yescomplemented
97C22⋊C4×D103C2211yescharacteristic, complemented
98C22×D4×C103C2212yescomplemented
99C22×D4×C103C2212yescomplemented
100#127×C103C2211yescharacteristic, complemented
101#121×C103C2212yescomplemented
102#121×C103C2212yescomplemented
103#120×C103C2211yescharacteristic
104#120×C103C2212yescomplemented
105#120×C103C2211yescharacteristic, complemented
106C4×D4×C103C2212yescomplemented
107C23×D103—42no—
108C23×D103—44no—
109C23×D103C2312yes—
110C23×D103C2311yescharacteristic
111C23×D103C2311yescharacteristic
112C23×D103C2312yes—
113C23×D103C2311yescharacteristic
114#13110104—42no—
115#13110104—44no—
116C2×Dic206C2311yescharacteristic, complemented
117C2×Dic206C2312yescomplemented
118C2×D412C2311yescharacteristic
119C2×D412C2312yes—
120C2×C22⋊D103—44no—
121C2×C22⋊D103—44no—
122C2×C22⋊D103—42no—
123C2×C22⋊D103C2312yes—
124C2×C22⋊D103C2312yes—
125C2×C22⋊D103C2312yes—
126C2×C22⋊D103C2311yescharacteristic
127C2×C22⋊D103C2312yes—
128C2×C22⋊D103C2311yescharacteristic
129C2×C22⋊D103C2312yes—
130C2×C22⋊D103C2312yes—
131C2×C22⋊D103C2312yes—
132C2×C22⋊D103C2312yes—
133C2×C22⋊D103C2312yes—
134C2×C22⋊D103C2312yes—
135C2×C22⋊D103C2312yescomplemented
136C2×C22⋊D103C2312yescomplemented
137D4×D103—42no—
138D4×D103—44no—
139C22×Dic103C2312yes—
140C22×Dic103C2312yes—
141C22×Dic103C2311yescharacteristic, complemented
142C22×Dic103C2312yescomplemented
143C22×Dic103C2312yescomplemented
144C2×C4×D103C2311yescharacteristic
145C2×C4×D103C2312yes—
146C2×C4×D103C2312yescomplemented
147C4⋊Dic103C2312yescomplemented
148C4⋊Dic103C2312yescomplemented
149Dic103⋊C4C2312yescomplemented
150Dic103⋊C4C2312yescomplemented
151Dic103⋊C4C2312yescomplemented
152Dic103⋊C4C2312yescomplemented
153Dic103⋊C4C2312yescomplemented
154Dic103⋊C4C2312yescomplemented
155C22⋊Dic103C2312yes—
156C22⋊Dic103C2311yescharacteristic
157C22⋊Dic103C2312yes—
158C22⋊Dic103C2312yes—
159C22⋊Dic103C2312yes—
160C22⋊Dic103C2312yes—
161C22⋊Dic103C2311yescharacteristic, complemented
162C22⋊Dic103C2312yescomplemented
163C22⋊Dic103C2312yescomplemented
164C22⋊Dic103C2312yescomplemented
165C22⋊Dic103C2312yescomplemented
166C22⋊Dic103C2312yescomplemented
167(C2×D103)⋊C4C2312yes—
168(C2×D103)⋊C4C2312yes—
169(C2×D103)⋊C4C2312yes—
170(C2×D103)⋊C4C2312yes—
171(C2×D103)⋊C4C2312yes—
172(C2×D103)⋊C4C2312yes—
173(C2×D103)⋊C4C2312yes—
174(C2×D103)⋊C4C2312yes—
175(C2×D103)⋊C4C2312yes—
176(C2×D103)⋊C4C2312yes—
177(C2×D103)⋊C4C2312yes—
178(C2×D103)⋊C4C2312yescomplemented
179C4×Dic103C2311yescharacteristic, complemented
180C4×Dic103C2312yescomplemented
181C4×Dic103C2312yescomplemented
182C24×C103C2311yescharacteristic
183C24×C103C2312yes—
184C24×C103C2311yescharacteristic, complemented
185C2×D4×C103—44no—
186C2×D4×C103—44no—
187C2×D4×C103C2312yes—
188C2×D4×C103C2312yes—
189C2×D4×C103C2312yes—
190C2×D4×C103C2311yescharacteristic
191C2×D4×C103C2312yes—
192C2×D4×C103C2312yes—
193C2×D4×C103C2311yescharacteristic, complemented
194C2×D4×C103C2312yescomplemented
195C2×D4×C103C2312yescomplemented
196C22×C4×C103C2312yes—
197C22×C4×C103C2312yescomplemented
198C4⋊C4×C103C2312yescomplemented
199C22⋊C4×C103C2312yes—
200C22⋊C4×C103C2311yescharacteristic
201C22⋊C4×C103C2312yescomplemented
202C22⋊C4×C103C2311yescharacteristic, complemented
203C22⋊C4×C103C2312yescomplemented
204C42×C103C2311yescharacteristic, complemented
205C23×C103—24no—
206C23×C103—24no—
207C23×C103—41no—
208C23×C103—42no—
209C23×C103—42no—
210C23×C103—42no—
211C23×C103—41no—
212C23×C103C2411yescharacteristic
213C23×C103C2412yes—
214C23×C103C2411yescharacteristic
215C23×C103C2412yes—
216C23×C103C2412yes—
217C22×D103—24no—
218C22×D103—24no—
219C22×D103—22no—
220C22×D103—24no—
221C22×D103—22no—
222C22×D103—42no—
223C22×D103—42no—
224C22×D103—42no—
225C22×D103—42no—
226C22×D103—42no—
227C22×D103—41no—
228C22×D103—42no—
229C22×D103—416no—
230C22×D103C2412yes—
231C22×D103C2411yescharacteristic
232C22×D103C2411yescharacteristic
233C22×D103C2411yescharacteristic
234D4×C103—24no—
235D4×C103—24no—
236D4×C103—24no—
237D4×C103—42no—
238D4×C103—42no—
239D4×C103—42no—
240D4×C103—42no—
241D4×C103—41no—
242D4×C103—41no—
243C2×C4×C103—42no—
244C2×C4×C103—42no—
245C2×C4×C103C2411yescharacteristic
246C2×C4×C103C2412yes—
247C2×C4×C103C2412yes—
248C2×C4×C103C2412yes—
249C22⋊D103—24no—
250C22⋊D103—24no—
251C22⋊D103—24no—
252C22⋊D103—42no—
253C22⋊D103—41no—
254C22⋊D103—41no—
255C22⋊D103—42no—
256C22⋊D103—42no—
257C22⋊D103—42no—
258C22⋊D103—42no—
259C22⋊D103—42no—
260C22⋊D103—42no—
261C22⋊D103—42no—
262C22⋊D103—42no—
263C2×Dic103—24no—
264C2×Dic103—42no—
265C2×Dic103—41no—
266C2×Dic103—42no—
267C2×Dic103—42no—
268C2×Dic103C2412yes—
269C2×Dic103C2412yes—
270C2×Dic103C2412yes—
271C2×Dic103C2412yes—
272C2×Dic103C2412yes—
273C2×Dic103C2411yescharacteristic
274D412—41no—
275D412—42no—
276C4×D103—22no—
277C4×D103—42no—
278C4×D103—42no—
279Dic206—42no—
280Dic206—41no—
281C22×C103—22no—
282C22×C103—22no—
283C22×C103—22no—
284C22×C103—22no—
285C22×C103—21no—
286C22×C103—22no—
287C22×C103—22no—
288C22×C103—22no—
289C22×C103—22no—
290C22×C103—21no—
291C22×C103—22no—
292C22×C103—22no—
293C22×C103—44no—
294C22×C103—84no—
295C22×C103—82no—
296C22×C103H(5,𝔽2)14yes—
297C22×C103C2511yescharacteristic
298C2×D103—22no—
299C2×D103—22no—
300C2×D103—21no—
301C2×D103—21no—
302C2×D103—22no—
303C2×D103—22no—
304C2×D103—22no—
305C2×D103—22no—
306C2×D103—48no—
307C2×D103—44no—
308C2×D103—48no—
309C2×D103—44no—
310C2×D103—82no—
311C2×D103H(5,𝔽2)12yes—
312C4×C103—21no—
313C4×C103—22no—
314C4×C103—22no—
315C4×C103—22no—
316Dic103—22no—
317Dic103—22no—
318Dic103—22no—
319Dic103—21no—
320Dic103—22no—
321Dic103—22no—
322C2×C103—24no—
323C2×C103—41no—
324C2×C103—41no—
325C2×C103—42no—
326C2×C103—42no—
327C2×C103C2×H(5,𝔽2)11yescharacteristic
328C2×C103C2×H(5,𝔽2)12yes—
329D103—22no—
330D103—42no—
331D103—41no—
332D103—41no—
333#3532—1031nomaximal, Sylow
334C103#353211yescharacteristic, complemented, Sylow
335H(3,𝔽4)—1031no—
336#560—1031no—
337#560—1032no—
338#551—1031no—
339#551—1032no—
340#546—1032no—
341#546—1032no—
342#546—1032no—
343D42—1032no—
344D42D10311yescharacteristic, complemented
345#538—1032no—
346#538—1032no—
347#538—1032no—
348#535—1031no—
349#535—1032no—
350#534—1032no—
351#534—1031no—
352C2×#120—1032no—
353C2×#120—1031no—
354C25—1031no—
355C2×#41—1032no—
356C2×#41—1031no—
357C22×D4—1032no—
358C22×D4—1032no—
359C22×D4—1031no—
360C22×D4—1031no—
361C22×D4—1032no—
362C22×D4C2×D10312yescomplemented
363C22×D4C2×D10312yescomplemented
364#127—1031no—
365#127—1032no—
366#127C2×D10311yescharacteristic, complemented
367#126—1032no—
368#126—1032no—
369#126—1032no—
370#126—1032no—
371#124—1031no—
372#124—1032no—
373#124—1032no—
374#124—1032no—
375#124—1032no—
376#124—1032no—
377#124—1031no—
378#123—1032no—
379#123—1032no—
380#123—1031no—
381#123—1032no—
382#123—1032no—
383#123—1032no—
384#123—1032no—
385#123—1031no—
386#123—1032no—
387#123—1032no—
388C22⋊Q8—1032no—
389C22⋊Q8—1032no—
390C22⋊Q8—1032no—
391#121—1032no—
392#121—1032no—
393#121—1032no—
394#121—1032no—
395#121—1032no—
396#121—1032no—
397#121—1032no—
398#121—1032no—
399#121—1032no—
400#121—1032no—
401#121—1032no—
402#121—1032no—
403#121—1032no—
404#121C2×D10312yescomplemented
405#121C2×D10312yescomplemented
406#120—1031no—
407#120—1032no—
408#120—1031no—
409#120—1032no—
410#120—1032no—
411#120—1032no—
412#120—1032no—
413#120—1032no—
414#120—1032no—
415#120—1032no—
416#120—1032no—
417#120—1032no—
418#120—1032no—
419#120—1031no—
420#120—1032no—
421#120—1032no—
422#120—1031no—
423#120C2×D10311yescharacteristic
424#120C2×D10312yescomplemented
425#120C2×D10311yescharacteristic, complemented
426C4×D4—1032no—
427C4×D4—1032no—
428C4×D4—1032no—
429C4×D4—1032no—
430C4×D4—1032no—
431C4×D4C2×D10312yescomplemented
432#117—1032no—
433#117—1031no—
434C2×C22⋊C4—1032no—
435C2×C22⋊C4—1032no—
436C2×C22⋊C4—1032no—
437C2×C22⋊C4—1032no—
438C2×C22⋊C4—1031no—
439C2×C22⋊C4—1032no—
440C2×C22⋊C4—1031no—
441C24—1031no—
442C24—1031no—
443C24—1032no—
444C24—1031no—
445C24—1032no—
446C24—4124no—
447C24—4122no—
448C24C22×D10311yescharacteristic
449C24C22×D10312yes—
450C24C22×D10311yescharacteristic, complemented
451#41—4124no—
452#41—4122no—
453C2×Q8—1032no—
454C2×Q8—1031no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—1031no—
458C2×D4—1032no—
459C2×D4—1032no—
460C2×D4—1032no—
461C2×D4—1032no—
462C2×D4—1032no—
463C2×D4—1031no—
464C2×D4—1032no—
465C2×D4—1032no—
466C2×D4—1032no—
467C2×D4—1032no—
468C2×D4—1032no—
469C2×D4—1032no—
470C2×D4—1032no—
471C2×D4—1032no—
472C2×D4—1031no—
473C2×D4—4124no—
474C2×D4—4122no—
475C2×D4—4124no—
476C2×D4—4122no—
477C2×D4—4124no—
478C2×D4C22×D10312yes—
479C2×D4C22×D10312yes—
480C2×D4C22×D10312yes—
481C2×D4C22×D10312yes—
482C2×D4C22×D10312yes—
483C2×D4C22×D10311yescharacteristic
484C2×D4C22×D10312yescomplemented
485C2×D4C22×D10311yescharacteristic, complemented
486C2×D4C22×D10312yescomplemented
487C22×C4—1032no—
488C22×C4—1032no—
489C22×C4—1032no—
490C22×C4—1031no—
491C22×C4—1032no—
492C22×C4—1032no—
493C22×C4—1032no—
494C22×C4—1031no—
495C22×C4C22×D10312yes—
496C22×C4C22×D10312yescomplemented
497C4⋊C4—1032no—
498C4⋊C4—1032no—
499C4⋊C4—1032no—
500C4⋊C4—1032no—
501C4⋊C4—1032no—
502C4⋊C4—1032no—
503C4⋊C4—1032no—
504C4⋊C4—1032no—
505C4⋊C4C22×D10312yescomplemented
506C22⋊C4—1032no—
507C22⋊C4—1032no—
508C22⋊C4—1032no—
509C22⋊C4—1032no—
510C22⋊C4—1032no—
511C22⋊C4—1031no—
512C22⋊C4—1031no—
513C22⋊C4—1032no—
514C22⋊C4—1032no—
515C22⋊C4—1032no—
516C22⋊C4—1032no—
517C22⋊C4—1032no—
518C22⋊C4—1032no—
519C22⋊C4—1032no—
520C22⋊C4—1032no—
521C22⋊C4—1032no—
522C22⋊C4—1032no—
523C22⋊C4—1032no—
524C22⋊C4—1032no—
525C22⋊C4—1032no—
526C22⋊C4—1032no—
527C22⋊C4—1032no—
528C22⋊C4—1032no—
529C22⋊C4—1032no—
530C22⋊C4C22×D10312yes—
531C22⋊C4C22×D10311yescharacteristic
532C22⋊C4C22×D10311yescharacteristic, complemented
533C22⋊C4C22×D10312yescomplemented
534C22⋊C4C22×D10312yescomplemented
535C42—1031no—
536C42—1032no—
537C42—1032no—
538C42C22×D10311yescharacteristic, complemented
539C23—24no—
540C23—24no—
541C23—41no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—41no—
546C23—1031no—
547C23—1032no—
548C23—1031no—
549C23—1031no—
550C23—4122no—
551C23—4122no—
552C23—4122no—
553C23—4122no—
554C23—4121no—
555C23—4122no—
556C23—4122no—
557C23—41216no—
558C23—2062no—
559C23—2064no—
560C23—2062no—
561C23—2064no—
562C23—2064no—
563C23C23×D10311yescharacteristic
564C23C23×D10311yescharacteristic
565C23C23×D10312yes—
566C23C23×D10312yes—
567C23C23×D10312yes—
568Q8—4121no—
569Q8—4122no—
570D4—24no—
571D4—24no—
572D4—24no—
573D4—42no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—41no—
579D4—4121no—
580D4—4122no—
581D4—4121no—
582D4—4121no—
583D4—4122no—
584D4—4122no—
585D4—4122no—
586D4—4122no—
587D4—4122no—
588D4—4122no—
589D4—4122no—
590D4—4122no—
591D4—4122no—
592D4—2064no—
593D4—2064no—
594D4—2064no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—1032no—
598C2×C4—1032no—
599C2×C4—1032no—
600C2×C4—1032no—
601C2×C4—1031no—
602C2×C4—1032no—
603C2×C4—4122no—
604C2×C4—4122no—
605C2×C4—4121no—
606C2×C4—4122no—
607C2×C4—4122no—
608C2×C4—4122no—
609C2×C4—2062no—
610C2×C4—2064no—
611C2×C4C23×D10311yescharacteristic
612C2×C4C23×D10312yes—
613C2×C4C23×D10312yes—
614C2×C4C23×D10312yes—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—21no—
619C22—21no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—44no—
628C22—84no—
629C22—82no—
630C22—8242no—
631C22—1032no—
632C22—4128no—
633C22—4128no—
634C22—4124no—
635C22—4124no—
636C22—2061no—
637C22—2061no—
638C22—2062no—
639C22—2062no—
640C22—2062no—
641C22—2062no—
642C22—2062no—
643C22—2062no—
644C22#1569306614yes—
645C22C24×D10311yescharacteristic
646C4—21no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—2061no—
651C4—2062no—
652C4—2062no—
653C4—2062no—
654C4—2062no—
655C4—2062no—
656C2—24no—
657C2—41no—
658C2—42no—
659C2—41no—
660C2—42no—
661C2—4121no—
662C2—4121no—
663C2—4122no—
664C2—2062no—
665C2H(5,𝔽2)×D10311yescharacteristic
666C2C2×#1569306612yes—
subgroupG/H
center, FrattiniC22C24×D103
commutator, socle, cosocleC22×C103C25
FittingD42×C103C2
hypercenterD42D103
hypocenterC103#3532
LCSG ▷ C22×C103 ▷ C103
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #20268534C2semidirect
2. #20268529C2semidirect
3. #20268528C2semidirect
4. #20268472C2semidirect
5. #20268470C2semidirect
6. #20268435C2semidirect
7. #20268430C2semidirect
8. #20268428C2semidirect
9. D4×C22⋊D103C2semidirect
10. #20268378C2semidirect
11. #20268374C2semidirect
12. #20268373C2semidirect
13. #20268356C2semidirect
14. #20268354C2semidirect
15. #20268351C2semidirect
16. #20268350C2semidirect
17. C2×#15692989C2semidirect
18. #120×D103C2semidirect
19. D42×C103C2semidirect
20. C24×D103C22semidirect
21. C2×#13110104C22semidirect
22. C2×#13110104C22semidirect
23. C22×C22⋊D103C22semidirect
24. C22×C22⋊D103C22semidirect
25. C22×C22⋊D103C22semidirect
26. C2×D4×D103C22semidirect
27. C2×D4×D103C22semidirect
28. #15693017C22semidirect
29. #15693017C22semidirect
30. #15693016C22semidirect
31. #15693016C22semidirect
32. #15693015C22semidirect
33. #15693014C22semidirect
34. #15693009C22semidirect
35. #15693008C22semidirect
36. #15693008C22semidirect
37. #15693007C22semidirect
38. #15693007C22semidirect
39. #15693007C22semidirect
40. #15693007C22semidirect
41. #15693006C22semidirect
42. #15693005C22semidirect
43. #15693005C22semidirect
44. #15693004C22semidirect
45. #15693004C22semidirect
46. #15693003C22semidirect
47. #15693002C22semidirect
48. #15693002C22semidirect
49. #15693002C22semidirect
50. #15693002C22semidirect
51. #15693000C22semidirect
52. #15692999C22semidirect
53. #15692998C22semidirect
54. #15692995C22semidirect
55. #15692994C22semidirect
56. #15692994C22semidirect
57. #15692993C22semidirect
58. #15692993C22semidirect
59. #15692993C22semidirect
60. #15692993C22semidirect
61. #15692993C22semidirect
62. #15692993C22semidirect
63. #15692993C22semidirect
64. #15692993C22semidirect
65. #15692992C22semidirect
66. #15692992C22semidirect
67. #15692991C22semidirect
68. #15692991C22semidirect
69. #15692990C22semidirect
70. #15692990C22semidirect
71. #15692990C22semidirect
72. #15692990C22semidirect
74. #15692989C22semidirect
75. #15692989C22semidirect
76. #15692989C22semidirect
77. #15692989C22semidirect
78. #15692989C22semidirect
79. #15692989C22semidirect
80. #15692989C22semidirect
81. #15692989C22semidirect
82. #15692989C22semidirect
83. #15692989C22semidirect
84. D4×Dic103C22semidirect
85. D4×Dic103C22semidirect
86. C4×C22⋊D103C22semidirect
87. C4×C22⋊D103C22semidirect
88. (C22⋊D103)⋊C4C22semidirect
89. #15692978C22semidirect
90. #15692977C22semidirect
91. C2×C22⋊Dic103C22semidirect
92. C2×C22⋊Dic103C22semidirect
93. C2×(C2×D103)⋊C4C22semidirect
94. C2×(C2×D103)⋊C4C22semidirect
95. C22⋊C4×D103C22semidirect
96. C22⋊C4×D103C22semidirect
97. C22⋊C4×D103C22semidirect
98. C22×D4×C103C22semidirect
99. C22×D4×C103C22semidirect
100. #127×C103C22semidirect
101. #121×C103C22semidirect
102. #121×C103C22semidirect
104. #120×C103C22semidirect
105. #120×C103C22semidirect
106. C4×D4×C103C22semidirect
116. C2×Dic206C23semidirect
117. C2×Dic206C23semidirect
135. C2×C22⋊D103C23semidirect
136. C2×C22⋊D103C23semidirect
141. C22×Dic103C23semidirect
142. C22×Dic103C23semidirect
143. C22×Dic103C23semidirect
146. C2×C4×D103C23semidirect
147. C4⋊Dic103C23semidirect
148. C4⋊Dic103C23semidirect
149. Dic103⋊C4C23semidirect
150. Dic103⋊C4C23semidirect
151. Dic103⋊C4C23semidirect
152. Dic103⋊C4C23semidirect
153. Dic103⋊C4C23semidirect
154. Dic103⋊C4C23semidirect
161. C22⋊Dic103C23semidirect
162. C22⋊Dic103C23semidirect
163. C22⋊Dic103C23semidirect
164. C22⋊Dic103C23semidirect
165. C22⋊Dic103C23semidirect
166. C22⋊Dic103C23semidirect
178. (C2×D103)⋊C4C23semidirect
179. C4×Dic103C23semidirect
180. C4×Dic103C23semidirect
181. C4×Dic103C23semidirect
184. C24×C103C23semidirect
193. C2×D4×C103C23semidirect
194. C2×D4×C103C23semidirect
195. C2×D4×C103C23semidirect
197. C22×C4×C103C23semidirect
198. C4⋊C4×C103C23semidirect
201. C22⋊C4×C103C23semidirect
202. C22⋊C4×C103C23semidirect
203. C22⋊C4×C103C23semidirect
204. C42×C103C23semidirect
334. C103#3532semidirect
344. D42D103semidirect
362. C22×D4C2×D103semidirect
363. C22×D4C2×D103semidirect
366. #127C2×D103semidirect
404. #121C2×D103semidirect
405. #121C2×D103semidirect
424. #120C2×D103semidirect
425. #120C2×D103semidirect
431. C4×D4C2×D103semidirect
450. C24C22×D103semidirect
484. C2×D4C22×D103semidirect
485. C2×D4C22×D103semidirect
486. C2×D4C22×D103semidirect
496. C22×C4C22×D103semidirect
505. C4⋊C4C22×D103semidirect
532. C22⋊C4C22×D103semidirect
533. C22⋊C4C22×D103semidirect
534. C22⋊C4C22×D103semidirect
538. C42C22×D103semidirect

Maximal subgroups

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

subgroupindex
#202685342
#202685292
#202685282
#202684722
#202684702
#202684352
#202684302
#202684282
D4×C22⋊D1032
#202683782
#202683742
#202683732
#202683562
#202683542
#202683512
#202683502
C2×#156929892
#120×D1032
D42×C1032
#3532103