Finite Group Databasebeta

← #28350068

Subgroups — #28350068

Order 13696.

1242 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20293360C211yesmaximal, characteristic, complemented
2#20293333C211yesmaximal, characteristic, complemented
3#20293332C211yesmaximal, characteristic, complemented
4#20293322C212yesmaximal, complemented
5#20293321C211yesmaximal, characteristic, complemented
6#20293306C212yesmaximal, complemented
7#20293302C212yesmaximal, complemented
8#20293274C211yesmaximal, characteristic, complemented
9#20293273C211yesmaximal, characteristic, complemented
10#20293266C212yesmaximal, complemented
11#20293261C211yesmaximal, characteristic, complemented
12#20293172C211yesmaximal, characteristic, complemented
13#20293162C211yesmaximal, characteristic, complemented
14#20293160C212yesmaximal, complemented
15#20293158C211yesmaximal, characteristic, complemented
16#20293137C212yesmaximal, complemented
17#20293135C212yesmaximal, complemented
18#20293095C211yesmaximal, characteristic, complemented
19C4×#13133817C211yesmaximal, characteristic, complemented
20C2×#16812071C211yesmaximal, characteristic, complemented
21C4×D4×D107C212yesmaximal, complemented
22C4×D4×D107C211yesmaximal, characteristic, complemented
23#553×C107C211yesmaximal, characteristic, complemented
24C2×#13133818C2211yescharacteristic
25C2×#13133817C2211yescharacteristic
26C2×#13133817C2212yescomplemented
27C22×D428C2211yescharacteristic
28C2×D4×D107C2212yes—
29C2×D4×D107C2211yescharacteristic
30C22×C4×D107C2212yescomplemented
31C22×C4×D107C2212yescomplemented
32#16812108C2211yescharacteristic, complemented
33#16812105C2211yescharacteristic
34#16812104C2212yescomplemented
35#16812103C2212yescomplemented
36#16812102C2212yescomplemented
37#16812100C2211yescharacteristic, complemented
38#16812099C2212yescomplemented
39#16812097C2211yescharacteristic, complemented
40#16812096C2211yescharacteristic, complemented
41#16812095C2212yescomplemented
42#16812095C2212yescomplemented
43#16812094C2212yescomplemented
44#16812094C2212yescomplemented
45#16812092C2212yescomplemented
46#16812091C2212yescomplemented
47#16812091C2212yescomplemented
48#16812091C2212yescomplemented
49#16812090C2212yescomplemented
50#16812089C2212yescomplemented
51#16812089C2211yescharacteristic, complemented
52#16812088C2212yescomplemented
53#16812088C2211yescharacteristic, complemented
54#16812087C2212yescomplemented
55#16812087C2212yescomplemented
56#16812087C2212yescomplemented
57#16812084C2211yescharacteristic
58#16812083C2211yescharacteristic, complemented
59#16812082C2212yes—
60#16812082C2212yescomplemented
61#16812082C2212yescomplemented
62#16812081C2212yescomplemented
63#16812080C2212yescomplemented
64#16812079C2212yes—
65#16812077C2212yes—
66#16812077C2212yescomplemented
67#16812077C2212yescomplemented
68C4×Dic214C2211yescharacteristic, complemented
69#16812074C2211yescharacteristic, complemented
70#16812074C2211yescharacteristic, complemented
71#16812074C2211yescharacteristic, complemented
72C4×D428C2211yescharacteristic
73C4×D428C2212yescomplemented
74D4×Dic107C2211yescharacteristic, complemented
75D4×Dic107C2212yescomplemented
76D4×Dic107C2211yescharacteristic, complemented
77#16812071C2211yescharacteristic
78#16812071C2211yescharacteristic
79#16812071C2211yescharacteristic
80#16812071C2212yescomplemented
81#16812071C2212yescomplemented
82#16812071C2211yescharacteristic, complemented
83#16812071C2212yescomplemented
84#16812071C2211yescharacteristic, complemented
85C4×C22⋊D107C2211yescharacteristic
86C4×C22⋊D107C2212yes—
87C4×C22⋊D107C2211yescharacteristic, complemented
88C4×C22⋊D107C2212yescomplemented
89C4×C22⋊D107C2212yescomplemented
90(C22⋊D107)⋊C4C2211yescharacteristic
91(C22⋊D107)⋊C4C2211yescharacteristic, complemented
92(C22⋊D107)⋊C4C2212yescomplemented
93(C22⋊D107)⋊C4C2212yescomplemented
94(C22⋊D107)⋊C4C2212yescomplemented
95(C22⋊D107)⋊C4C2212yescomplemented
96#16812067C2212yescomplemented
97#16812067C2211yescharacteristic, complemented
98#16812066C2212yescomplemented
99#16812065C2212yescomplemented
100#16812065C2211yescharacteristic, complemented
101#16812065C2211yescharacteristic, complemented
102C4⋊C4×D107C2211yescharacteristic, complemented
103C4⋊C4×D107C2212yescomplemented
104C2×(C2×D107)⋊C4C2212yescomplemented
105C22⋊C4×D107C2212yescomplemented
106C22⋊C4×D107C2212yescomplemented
107C22⋊C4×D107C2212yescomplemented
108C2×C4×Dic107C2211yescharacteristic, complemented
109C2×C4×Dic107C2211yescharacteristic, complemented
110C42×D107C2212yescomplemented
111C42×D107C2211yescharacteristic, complemented
112#126×C107C2212yescomplemented
113#125×C107C2211yescharacteristic, complemented
114#123×C107C2212yescomplemented
115#121×C107C2211yescharacteristic
116#121×C107C2212yescomplemented
117#121×C107C2211yescharacteristic, complemented
118C4×D4×C107C2211yescharacteristic, complemented
119C4×D4×C107C2212yescomplemented
120C4×D4×C107C2211yescharacteristic, complemented
121#117×C107C2211yescharacteristic, complemented
122C2×C4⋊C4×C107C2211yescharacteristic, complemented
123C23×D107C2312yes—
124C23×D107C2312yes—
125#13133818—24no—
126#13133817—24no—
127#13133817—44no—
128C2×Dic214C2311yescharacteristic
129C2×Dic214C2311yescharacteristic
130C2×Dic214C2312yes—
131C2×D428—24no—
132C2×D428C2312yes—
133C2×D428C2311yescharacteristic
134C2×D428C2312yes—
135C2×D428C2311yescharacteristic
136C2×C22⋊D107C2312yes—
137C2×C22⋊D107C2312yes—
138C2×C22⋊D107C2311yescharacteristic
139C2×C22⋊D107C2312yes—
140C2×C22⋊D107C2312yes—
141C2×C22⋊D107C2312yes—
142C2×C22⋊D107C2311yescharacteristic
143D4×D107—28no—
144D4×D107—24no—
145C22×Dic107C2311yescharacteristic
146C22×Dic107C2311yescharacteristic
147C22×Dic107C2311yescharacteristic
148C22×Dic107C2311yescharacteristic
149C22×Dic107C2312yes—
150C2×C4×D107—44no—
151C2×C4×D107—44no—
152C2×C4×D107C2312yes—
153C2×C4×D107C2311yescharacteristic
154C2×C4×D107C2312yes—
155C2×C4×D107C2311yescharacteristic
156C2×C4×D107C2311yescharacteristic
157C2×C4×D107C2312yes—
158C2×C4×D107C2312yes—
159C2×C4×D107C2312yes—
160C2×C4×D107C2312yes—
161C2×C4×D107C2312yes—
162C2×C4×D107C2312yes—
163C4⋊Dic107C2311yescharacteristic
164C4⋊Dic107C2312yes—
165C4⋊Dic107C2311yescharacteristic
166C4⋊Dic107C2312yes—
167Dic107⋊C4C2311yescharacteristic
168Dic107⋊C4C2312yes—
169Dic107⋊C4C2312yes—
170Dic107⋊C4C2311yescharacteristic
171Dic107⋊C4C2311yescharacteristic
172Dic107⋊C4C2311yescharacteristic
173Dic107⋊C4C2312yes—
174Dic107⋊C4C2312yes—
175Dic107⋊C4C2312yes—
176Dic107⋊C4C2312yes—
177C22⋊Dic107C2312yes—
178C22⋊Dic107C2312yes—
179C22⋊Dic107C2312yes—
180C22⋊Dic107C2311yescharacteristic
181C22⋊Dic107C2311yescharacteristic
182C22⋊Dic107C2312yes—
183(C2×D107)⋊C4C2311yescharacteristic
184(C2×D107)⋊C4C2312yes—
185(C2×D107)⋊C4C2312yes—
186(C2×D107)⋊C4C2312yes—
187(C2×D107)⋊C4C2312yes—
188(C2×D107)⋊C4C2312yes—
189(C2×D107)⋊C4C2312yes—
190(C2×D107)⋊C4C2312yes—
191(C2×D107)⋊C4C2312yes—
192(C2×D107)⋊C4C2312yes—
193(C2×D107)⋊C4C2311yescharacteristic
194(C2×D107)⋊C4C2312yes—
195(C2×D107)⋊C4C2312yes—
196C4×Dic107C2311yescharacteristic
197C4×Dic107C2311yescharacteristic
198C4×Dic107C2311yescharacteristic
199C4×Dic107C2312yes—
200C4×Dic107C2311yescharacteristic
201C4×Dic107C2312yes—
202C4×Dic107C2311yescharacteristic
203C4×Dic107C2311yescharacteristic
204C4×Dic107C2311yescharacteristic
205C4×Dic107C2311yescharacteristic
206C4×Dic107C2311yescharacteristic
207C2×D4×C107C2312yes—
208C2×D4×C107C2311yescharacteristic
209C2×D4×C107C2311yescharacteristic
210C2×D4×C107C2312yes—
211C22×C4×C107C2311yescharacteristic
212C22×C4×C107C2311yescharacteristic
213C22×C4×C107C2312yes—
214C22×C4×C107C2312yes—
215C4⋊C4×C107C2311yescharacteristic
216C4⋊C4×C107C2312yes—
217C4⋊C4×C107C2311yescharacteristic
218C4⋊C4×C107C2312yes—
219C4⋊C4×C107C2311yescharacteristic
220C4⋊C4×C107C2311yescharacteristic
221C4⋊C4×C107C2312yes—
222C22⋊C4×C107C2311yescharacteristic
223C22⋊C4×C107C2312yes—
224C22⋊C4×C107C2312yes—
225C22⋊C4×C107C2311yescharacteristic
226C22⋊C4×C107C2312yes—
227C22⋊C4×C107C2312yes—
228C42×C107C2312yes—
229C42×C107C2311yescharacteristic
230C23×C107C2412yes—
231C23×C107C2411yescharacteristic
232C23×C107C2411yescharacteristic
233C22×D107—24no—
234C22×D107—24no—
235C22×D107—24no—
236C22×D107—24no—
237C22×D107—42no—
238C22×D107—42no—
239C22×D107C2412yes—
240C22×D107C2411yescharacteristic
241C22×D107C2412yes—
242D4×C107—24no—
243D4×C107—22no—
244D4×C107—22no—
245D4×C107—42no—
246C2×C4×C107—22no—
247C2×C4×C107—22no—
248C2×C4×C107—42no—
249C2×C4×C107—42no—
250C2×C4×C107C2411yescharacteristic
251C2×C4×C107C2411yescharacteristic
252C2×C4×C107C2412yes—
253C2×C4×C107C2412yes—
254C2×C4×C107C2411yescharacteristic
255C2×C4×C107C2411yescharacteristic
256C2×C4×C107C2412yes—
257C2×C4×C107C2411yescharacteristic
258C22⋊D107—24no—
259C22⋊D107—22no—
260C22⋊D107—24no—
261C22⋊D107—24no—
262C22⋊D107—42no—
263C22⋊D107—42no—
264C22⋊D107#4114yescomplemented
265C2×Dic107—22no—
266C2×Dic107—22no—
267C2×Dic107—22no—
268C2×Dic107—24no—
269C2×Dic107—22no—
270C2×Dic107C2411yescharacteristic
271C2×Dic107C2411yescharacteristic
272C2×Dic107C2412yes—
273C2×Dic107C2411yescharacteristic
274C2×Dic107C2411yescharacteristic
275C2×Dic107C2411yescharacteristic
276C2×Dic107C2412yes—
277C2×Dic107C2411yescharacteristic
278C2×Dic107C2411yescharacteristic
279D428—24no—
280D428—24no—
281D428—22no—
282D428#4114yescomplemented
283C4×D107—22no—
284C4×D107—24no—
285C4×D107—22no—
286C4×D107—24no—
287C4×D107—22no—
288C4×D107—24no—
289C4×D107—24no—
290C4×D107—42no—
291C4×D107—42no—
292C4×D107—42no—
293C4×D107—42no—
294Dic214—22no—
295Dic214—22no—
296Dic214—42no—
297C22×C107—21no—
298C22×C107—21no—
299C22×C107—21no—
300C22×C107—21no—
301C22×C107—22no—
302C22×C107—22no—
303C22×C107—21no—
304C22×C107—22no—
305C22×C107C2×#4112yes—
306C22×C107C2511yescharacteristic
307C2×D107—21no—
308C2×D107—22no—
309C2×D107—21no—
310C2×D107—22no—
311C2×D107—22no—
312C2×D107—22no—
313C2×D107—22no—
314C2×D107—48no—
315C2×D107—48no—
316C2×D107C2×#4112yes—
317C2×D107C2×#4114yes—
318C4×C107—21no—
319C4×C107—21no—
320C4×C107—22no—
321C4×C107—21no—
322C4×C107—22no—
323C4×C107—21no—
324C4×C107—22no—
325C4×C107C2×#4112yes—
326Dic107—22no—
327Dic107—21no—
328Dic107—21no—
329Dic107—21no—
330Dic107—21no—
331Dic107—22no—
332Dic107—21no—
333Dic107C2×#4112yes—
334Dic107H(5,𝔽2)12yes—
335C2×C107—22no—
336C2×C107—42no—
337C2×C107—41no—
338C2×C107C22×#4111yescharacteristic
339C2×C107C22×#4111yescharacteristic
340C2×C107C2×H(5,𝔽2)11yescharacteristic
341D107—22no—
342D107—24no—
343D107—42no—
344#3481—1071nomaximal, Sylow
345C107#348111yescharacteristic, complemented, Sylow
346#559—1071no—
347#554—1071no—
348#554—1071no—
349#553—1072no—
350#553—1071no—
351#553D10711yescharacteristic, complemented
352#551—1072no—
353#551—1072no—
354#546—1072no—
355#546—1071no—
356#546—1071no—
357D42—1071no—
358#532—1071no—
359#529—1072no—
360#529—1071no—
361#529—1071no—
362#525—1072no—
363#525—1072no—
364C4×#41—1071no—
365C4×#41—1071no—
366C2×C4×D4—1072no—
367C2×C4×D4—1071no—
368C2×C4×D4—1071no—
369C2×#41—1072no—
370C2×#41—1071no—
371C2×#41—1071no—
372C22×D4—1072no—
373C22×D4—1071no—
374C22×D4—1071no—
375C23×C4—1072no—
376C23×C4—1072no—
377C4⋊Q8—1071no—
378#127—1071no—
379#126—1072no—
380#126—1072no—
381#126—1072no—
382#126C2×D10712yescomplemented
383#125—1072no—
384#125—1071no—
385#125C2×D10711yescharacteristic, complemented
386#124—1071no—
387#124—1072no—
388#124—1072no—
389#124—1071no—
390#123—1072no—
391#123—1072no—
392#123—1072no—
393#123—1072no—
394#123—1072no—
395#123—1072no—
396#123—1072no—
397#123C2×D10712yescomplemented
398C22⋊Q8—1072no—
399C22⋊Q8—1071no—
400C22⋊Q8—1072no—
401C22⋊Q8—1072no—
402C22⋊Q8—1072no—
403C22⋊Q8—1072no—
404C22⋊Q8—1071no—
405#121—1072no—
406#121—1072no—
407#121—1071no—
408#121—1071no—
409#121—1072no—
410#121—1072no—
411#121—1072no—
412#121C2×D10711yescharacteristic
413#121C2×D10712yescomplemented
414#121C2×D10711yescharacteristic, complemented
415#120—1072no—
416#120—1072no—
417#120—1072no—
418#120—1072no—
419C4×Q8—1071no—
420C4×Q8—1071no—
421C4×Q8—1071no—
422C4×Q8—1071no—
423C4×D4—1072no—
424C4×D4—1071no—
425C4×D4—1071no—
426C4×D4—1072no—
427C4×D4—1072no—
428C4×D4—1072no—
429C4×D4—1071no—
430C4×D4—1071no—
431C4×D4—1071no—
432C4×D4—1072no—
433C4×D4—1072no—
434C4×D4—1071no—
435C4×D4—1071no—
436C4×D4—1072no—
437C4×D4—1071no—
438C4×D4—1071no—
439C4×D4—1071no—
440C4×D4—1072no—
441C4×D4—1072no—
442C4×D4—1071no—
443C4×D4—1072no—
444C4×D4—1072no—
445C4×D4—1071no—
446C4×D4—1072no—
447C4×D4C2×D10712yescomplemented
448C4×D4C2×D10711yescharacteristic, complemented
449C4×D4C2×D10711yescharacteristic, complemented
450#117—1071no—
451#117—1072no—
452#117—1071no—
453#117—1071no—
454#117—1072no—
455#117—1072no—
456#117C2×D10711yescharacteristic, complemented
457C2×C4⋊C4—1072no—
458C2×C4⋊C4—1071no—
459C2×C4⋊C4C2×D10711yescharacteristic, complemented
460C2×C22⋊C4—1072no—
461C2×C22⋊C4—1072no—
462C2×C22⋊C4—1072no—
463C2×C22⋊C4—1072no—
464C2×C42—1071no—
465C2×C42—1071no—
466C2×C42—1071no—
467C2×C42—1072no—
468C24—1072no—
469C24—1072no—
470#41—4284no—
471#41—2144no—
472#41—2144no—
473C2×Q8—1072no—
474C2×Q8—1071no—
475C2×Q8—1071no—
476C2×D4—1071no—
477C2×D4—1072no—
478C2×D4—1072no—
479C2×D4—1071no—
480C2×D4—1072no—
481C2×D4—1072no—
482C2×D4—1072no—
483C2×D4—1071no—
484C2×D4—1072no—
485C2×D4—1072no—
486C2×D4—1071no—
487C2×D4—2144no—
488C2×D4—2148no—
489C2×D4—2144no—
490C2×D4C22×D10711yescharacteristic
491C2×D4C22×D10712yes—
492C2×D4C22×D10711yescharacteristic
493C2×D4C22×D10712yes—
494C22×C4—1071no—
495C22×C4—1071no—
496C22×C4—1071no—
497C22×C4—1071no—
498C22×C4—1072no—
499C22×C4—1072no—
500C22×C4—1072no—
501C22×C4—1072no—
502C22×C4—1072no—
503C22×C4—1071no—
504C22×C4—1072no—
505C22×C4—1072no—
506C22×C4—1071no—
507C22×C4—1072no—
508C22×C4—1071no—
509C22×C4—1072no—
510C22×C4—4284no—
511C22×C4—4284no—
512C22×C4C22×D10711yescharacteristic
513C22×C4C22×D10711yescharacteristic
514C22×C4C22×D10712yes—
515C22×C4C22×D10712yes—
516C4⋊C4—1071no—
517C4⋊C4—1072no—
518C4⋊C4—1071no—
519C4⋊C4—1072no—
520C4⋊C4—1072no—
521C4⋊C4—1071no—
522C4⋊C4—1071no—
523C4⋊C4—1072no—
524C4⋊C4—1071no—
525C4⋊C4—1072no—
526C4⋊C4—1071no—
527C4⋊C4—1072no—
528C4⋊C4—1072no—
529C4⋊C4—1072no—
530C4⋊C4C22×D10711yescharacteristic
531C4⋊C4C22×D10712yes—
532C4⋊C4C22×D10711yescharacteristic
533C4⋊C4C22×D10712yes—
534C4⋊C4C22×D10711yescharacteristic
535C4⋊C4C22×D10712yes—
536C4⋊C4C22×D10711yescharacteristic
537C22⋊C4—1072no—
538C22⋊C4—1072no—
539C22⋊C4—1072no—
540C22⋊C4—1071no—
541C22⋊C4—1071no—
542C22⋊C4—1072no—
543C22⋊C4—1072no—
544C22⋊C4—1071no—
545C22⋊C4—1072no—
546C22⋊C4—1072no—
547C22⋊C4—1072no—
548C22⋊C4—1072no—
549C22⋊C4—1072no—
550C22⋊C4—1072no—
551C22⋊C4—1072no—
552C22⋊C4—1071no—
553C22⋊C4—1072no—
554C22⋊C4—1072no—
555C22⋊C4—1072no—
556C22⋊C4C22×D10711yescharacteristic
557C22⋊C4C22×D10712yes—
558C22⋊C4C22×D10712yes—
559C22⋊C4C22×D10711yescharacteristic
560C22⋊C4C22×D10712yes—
561C22⋊C4C22×D10712yes—
562C42—1071no—
563C42—1071no—
564C42—1071no—
565C42—1071no—
566C42—1072no—
567C42—1071no—
568C42—1071no—
569C42—1071no—
570C42—1072no—
571C42—1071no—
572C42—1071no—
573C42C22×D10712yes—
574C42C22×D10711yescharacteristic
575C23—1071no—
576C23—1072no—
577C23—1072no—
578C23—4282no—
579C23—4282no—
580C23—2144no—
581C23—2144no—
582C23—2144no—
583C23—2144no—
584C23C23×D10712yes—
585C23C23×D10711yescharacteristic
586C23C23×D10711yescharacteristic
587Q8—4282no—
588Q8—2142no—
589Q8—2142no—
590D4—24no—
591D4—22no—
592D4—22no—
593D4—42no—
594D4—1074no—
595D4—1074no—
596D4—4282no—
597D4—4282no—
598D4—2144no—
599D4—2144no—
600D4—2144no—
601D4—2144no—
602D4—2144no—
603D4—2142no—
604D4—2142no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—1071no—
610C2×C4—1071no—
611C2×C4—1071no—
612C2×C4—1072no—
613C2×C4—1071no—
614C2×C4—1071no—
615C2×C4—1071no—
616C2×C4—1071no—
617C2×C4—1072no—
618C2×C4—4282no—
619C2×C4—4282no—
620C2×C4—4282no—
621C2×C4—4282no—
622C2×C4—2144no—
623C2×C4—2142no—
624C2×C4—2144no—
625C2×C4—2144no—
626C2×C4—2144no—
627C2×C4—2142no—
628C2×C4—2142no—
629C2×C4—2144no—
630C2×C4—2142no—
631C2×C4—2142no—
632C2×C4—2142no—
633C2×C4—2142no—
634C2×C4C23×D10711yescharacteristic
635C2×C4C23×D10711yescharacteristic
636C2×C4C23×D10711yescharacteristic
637C2×C4C23×D10712yes—
638C2×C4C23×D10711yescharacteristic
639C2×C4C23×D10712yes—
640C2×C4C23×D10712yes—
641C2×C4C23×D10711yescharacteristic
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—21no—
650C22—1072no—
651C22—1074no—
652C22—4288no—
653C22—4288no—
654C22—2142no—
655C22—2142no—
656C22—2142no—
657C22—2142no—
658C22—2141no—
659C22—2142no—
660C22—2141no—
661C22#41×D10712yes—
662C22C24×D10711yescharacteristic
663C4—21no—
664C4—21no—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—22no—
670C4—1072no—
671C4—1072no—
672C4—2141no—
673C4—2141no—
674C4—2141no—
675C4—2142no—
676C4—2141no—
677C4—2142no—
678C4—2141no—
679C4#41×D10712yes—
680C2—22no—
681C2—42no—
682C2—41no—
683C2—4282no—
684C2—2144no—
685C2—2142no—
686C2C2×#41×D10711yescharacteristic
687C2C2×#41×D10711yescharacteristic
688C2H(5,𝔽2)×D10711yescharacteristic
subgroupG/H
center, FrattiniC22C24×D107
commutator, socle, cosocleC22×C107C25
Fitting#553×C107C2
hypercenter#553D107
hypocenterC107#3481
LCSG ▷ C22×C107 ▷ C107
UCSC1 ◁ C22 ◁ #553

Complements

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

NH ≅ G/Ntype
1. #20293360C2semidirect
2. #20293333C2semidirect
3. #20293332C2semidirect
4. #20293322C2semidirect
5. #20293321C2semidirect
6. #20293306C2semidirect
7. #20293302C2semidirect
8. #20293274C2semidirect
9. #20293273C2semidirect
10. #20293266C2semidirect
11. #20293261C2semidirect
12. #20293172C2semidirect
13. #20293162C2semidirect
14. #20293160C2semidirect
15. #20293158C2semidirect
16. #20293137C2semidirect
17. #20293135C2semidirect
18. #20293095C2semidirect
19. C4×#13133817C2semidirect
20. C2×#16812071C2semidirect
21. C4×D4×D107C2semidirect
22. C4×D4×D107C2semidirect
23. #553×C107C2semidirect
26. C2×#13133817C22semidirect
30. C22×C4×D107C22semidirect
31. C22×C4×D107C22semidirect
32. #16812108C22semidirect
34. #16812104C22semidirect
35. #16812103C22semidirect
36. #16812102C22semidirect
37. #16812100C22semidirect
38. #16812099C22semidirect
39. #16812097C22semidirect
40. #16812096C22semidirect
41. #16812095C22semidirect
42. #16812095C22semidirect
43. #16812094C22semidirect
44. #16812094C22semidirect
45. #16812092C22semidirect
46. #16812091C22semidirect
47. #16812091C22semidirect
48. #16812091C22semidirect
49. #16812090C22semidirect
50. #16812089C22semidirect
51. #16812089C22semidirect
52. #16812088C22semidirect
53. #16812088C22semidirect
54. #16812087C22semidirect
55. #16812087C22semidirect
56. #16812087C22semidirect
58. #16812083C22semidirect
60. #16812082C22semidirect
61. #16812082C22semidirect
62. #16812081C22semidirect
63. #16812080C22semidirect
66. #16812077C22semidirect
67. #16812077C22semidirect
68. C4×Dic214C22semidirect
69. #16812074C22semidirect
70. #16812074C22semidirect
71. #16812074C22semidirect
73. C4×D428C22semidirect
74. D4×Dic107C22semidirect
75. D4×Dic107C22semidirect
76. D4×Dic107C22semidirect
80. #16812071C22semidirect
81. #16812071C22semidirect
82. #16812071C22semidirect
83. #16812071C22semidirect
84. #16812071C22semidirect
87. C4×C22⋊D107C22semidirect
88. C4×C22⋊D107C22semidirect
89. C4×C22⋊D107C22semidirect
91. (C22⋊D107)⋊C4C22semidirect
92. (C22⋊D107)⋊C4C22semidirect
93. (C22⋊D107)⋊C4C22semidirect
94. (C22⋊D107)⋊C4C22semidirect
95. (C22⋊D107)⋊C4C22semidirect
96. #16812067C22semidirect
97. #16812067C22semidirect
98. #16812066C22semidirect
99. #16812065C22semidirect
100. #16812065C22semidirect
101. #16812065C22semidirect
102. C4⋊C4×D107C22semidirect
103. C4⋊C4×D107C22semidirect
104. C2×(C2×D107)⋊C4C22semidirect
105. C22⋊C4×D107C22semidirect
106. C22⋊C4×D107C22semidirect
107. C22⋊C4×D107C22semidirect
108. C2×C4×Dic107C22semidirect
109. C2×C4×Dic107C22semidirect
110. C42×D107C22semidirect
111. C42×D107C22semidirect
112. #126×C107C22semidirect
113. #125×C107C22semidirect
114. #123×C107C22semidirect
116. #121×C107C22semidirect
117. #121×C107C22semidirect
118. C4×D4×C107C22semidirect
119. C4×D4×C107C22semidirect
120. C4×D4×C107C22semidirect
121. #117×C107C22semidirect
122. C2×C4⋊C4×C107C22semidirect
264. C22⋊D107#41semidirect
282. D428#41semidirect
345. C107#3481semidirect
351. #553D107semidirect
382. #126C2×D107semidirect
385. #125C2×D107semidirect
397. #123C2×D107semidirect
413. #121C2×D107semidirect
414. #121C2×D107semidirect
447. C4×D4C2×D107semidirect
448. C4×D4C2×D107semidirect
449. C4×D4C2×D107semidirect
456. #117C2×D107semidirect
459. C2×C4⋊C4C2×D107semidirect

Maximal subgroups

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

subgroupindex
#202933602
#202933332
#202933322
#202933222
#202933212
#202933062
#202933022
#202932742
#202932732
#202932662
#202932612
#202931722
#202931622
#202931602
#202931582
#202931372
#202931352
#202930952
C4×#131338172
C2×#168120712
C4×D4×D1072
#553×C1072
#3481107