Finite Group Databasebeta

← #14578133

Subgroups — #14578133

Order 2432.

930 conjugacy classes of subgroups.

The subgroup lattice has 918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11927296C211yesmaximal, characteristic, complemented
2#11927295C211yesmaximal, characteristic, complemented
3#11927294C211yesmaximal, characteristic, complemented
4#11927293C211yesmaximal, characteristic, complemented
5#11927278C211yesmaximal, characteristic, complemented
6#11927276C211yesmaximal, characteristic, complemented
7#11927272C211yesmaximal, characteristic, complemented
8#11927269C211yesmaximal, characteristic, complemented
9#11927262C211yesmaximal, characteristic, complemented
10#11927261C211yesmaximal, characteristic, complemented
11#11927248C211yesmaximal, characteristic, complemented
12#11927248C211yesmaximal, characteristic, complemented
13#11927235C211yesmaximal, characteristic, complemented
14#11927231C211yesmaximal, characteristic, complemented
15#11927228C211yesmaximal, characteristic, complemented
16#11927227C211yesmaximal, characteristic, complemented
17#11927164C211yesmaximal, characteristic, complemented
18#11927163C211yesmaximal, characteristic, complemented
19#11927158C211yesmaximal, characteristic, complemented
20#11927158C211yesmaximal, characteristic, complemented
21#11927158C211yesmaximal, characteristic, complemented
22#11927151C211yesmaximal, characteristic, complemented
23#11927144C211yesmaximal, characteristic
24#11927139C211yesmaximal, characteristic, complemented
25#11927137C211yesmaximal, characteristic, complemented
26#11927136C211yesmaximal, characteristic, complemented
27#11927135C211yesmaximal, characteristic, complemented
28#11927096C211yesmaximal, characteristic, complemented
29#11927074C211yesmaximal, characteristic, complemented
30#11927071C211yesmaximal, characteristic, complemented
31C19×#542C211yesmaximal, characteristic, complemented
32C19×C4⋊Q8C2211yescharacteristic
33C19×#126C2211yescharacteristic
34C19×#126C2211yescharacteristic
35C19×#124C2211yescharacteristic
36C19×#124C2211yescharacteristic
37C19×#124C2211yescharacteristic
38C19×#123C2211yescharacteristic
39C19×#123C2211yescharacteristic
40C19×C22⋊Q8C2211yescharacteristic
41C19×C22⋊Q8C2211yescharacteristic
42C19×C22⋊Q8C2211yescharacteristic
43C19×#121C2211yescharacteristic
44C4×Q8×C19C2211yescharacteristic
45C4×D4×C19C2211yescharacteristic
46C19×#117C2211yescharacteristic
47#10597393C2211yescharacteristic
48#10597392C2211yescharacteristic
49#10597392C2211yescharacteristic
50#10597392C2211yescharacteristic
51#10597392C2211yescharacteristic
52Q8×Dic19C2211yescharacteristic
53Q8×Dic19C2211yescharacteristic
54#10597390C2211yescharacteristic
55#10597390C2211yescharacteristic
56#10597390C2211yescharacteristic
57#10597390C2211yescharacteristic
58#10597390C2211yescharacteristic
59#10597386C2211yescharacteristic
60#10597385C2211yescharacteristic
61#10597385C2211yescharacteristic
62#10597385C2211yescharacteristic
63#10597384C2211yescharacteristic
64#10597381C2211yescharacteristic
65#10597381C2211yescharacteristic
66#10597381C2211yescharacteristic
67#10597381C2211yescharacteristic
68#10597381C2211yescharacteristic
69D4×Dic19C2211yescharacteristic
70D4×Dic19C2211yescharacteristic
71#10597375C2211yescharacteristic
72#10597375C2211yescharacteristic
73C4×C22⋊D19C2211yescharacteristic
74C4×C22⋊D19C2211yescharacteristic
75C4×C22⋊D19C2211yescharacteristic
76C4×C22⋊D19C2211yescharacteristic
77#10597372C2211yescharacteristic
78#10597370C2211yescharacteristic
79#10597370C2211yescharacteristic
80C2×Dic19⋊C4C2211yescharacteristic
81C2×Dic19⋊C4C2211yescharacteristic
82C2×C4×Dic19C2211yescharacteristic
83#10597344C2211yescharacteristic
84#10597344C2211yescharacteristic
85#10597344C2211yescharacteristic
86#10597344C2211yescharacteristic
87#10597343C2211yescharacteristic
88#10597342C2211yescharacteristic
89#10597342C2211yescharacteristic
90#10597342C2211yescharacteristic
91#10597342C2211yescharacteristic
92#10597342C2211yescharacteristic
93#10597340C2211yescharacteristic
94#10597340C2211yescharacteristic
95#10597340C2211yescharacteristic
96#10597338C2211yescharacteristic
97#10597338C2211yescharacteristic
98C4⋊C4×D19C2211yescharacteristic
99C4⋊C4×D19C2211yescharacteristic
100#10597336C2211yescharacteristic
101#10597336C2211yescharacteristic
102#10597336C2211yescharacteristic
103#10597335C2211yescharacteristic
104#10597335C2211yescharacteristic
105#10597335C2211yescharacteristic
106#10597335C2211yescharacteristic
107#10597335C2211yescharacteristic
108#10597335C2211yescharacteristic
109#10597335C2211yescharacteristic
110#10597335C2211yescharacteristic
111#10597335C2211yescharacteristic
112#10597335C2211yescharacteristic
113#10597335C2211yescharacteristic
114#10597335C2211yescharacteristic
115#10597334C2211yescharacteristic
116#10597334C2211yescharacteristic
117#10597333C2211yescharacteristic
118#10597333C2211yescharacteristic
119#10597333C2211yescharacteristic
120#10597333C2211yescharacteristic
121#10597333C2211yescharacteristic
122#10597333C2211yescharacteristic
123#10597332C2211yescharacteristic
124#10597332C2211yescharacteristic
125#10597332C2211yescharacteristic
126#10597331C2211yescharacteristic
127#10597331C2211yescharacteristic
128#10597331C2211yescharacteristic
129#10597331C2211yescharacteristic
130#10597331C2211yescharacteristic
131#10597331C2211yescharacteristic
132#10597331C2211yescharacteristic
133#10597331C2211yescharacteristic
134#10597330C2211yescharacteristic
135#10597329C2211yescharacteristic
136#10597329C2211yescharacteristic
137#10597329C2211yescharacteristic
138#10597329C2211yescharacteristic
139#10597329C2211yescharacteristic
140(C22⋊D19)⋊C4C2211yescharacteristic
141(C22⋊D19)⋊C4C2211yescharacteristic
142(C22⋊D19)⋊C4C2211yescharacteristic
143(C22⋊D19)⋊C4C2211yescharacteristic
144(C22⋊D19)⋊C4C2211yescharacteristic
145(C22⋊D19)⋊C4C2211yescharacteristic
146#10597325C2211yescharacteristic
147#10597325C2211yescharacteristic
148#10597325C2211yescharacteristic
149#10597325C2211yescharacteristic
150#10597325C2211yescharacteristic
151#10597325C2211yescharacteristic
152#10597325C2211yescharacteristic
153#10597325C2211yescharacteristic
154#10597325C2211yescharacteristic
155#10597325C2211yescharacteristic
156#10597324C2211yescharacteristic
157#10597324C2211yescharacteristic
158#10597324C2211yescharacteristic
159#10597324C2211yescharacteristic
160#10597324C2211yescharacteristic
161#10597324C2211yescharacteristic
162#10597324C2211yescharacteristic
163#10597324C2211yescharacteristic
164#10597324C2211yescharacteristic
165#10597324C2211yescharacteristic
166#10597324C2211yescharacteristic
167#10597323C2211yescharacteristic
168#10597323C2211yescharacteristic
169#10597323C2211yescharacteristic
170#10597323C2211yescharacteristic
171#10597322C2211yescharacteristic
172#10597322C2211yescharacteristic
173#10597322C2211yescharacteristic
174#10597322C2211yescharacteristic
175C4×D76C2211yescharacteristic
176#10597318C2211yescharacteristic
177#10597318C2211yescharacteristic
178#10597316C2211yescharacteristic
179#10597316C2211yescharacteristic
180#10597316C2211yescharacteristic
181#10597315C2211yescharacteristic
182C4×Dic38C2211yescharacteristic
183C4×Dic38C2211yescharacteristic
184C4×Dic38C2211yescharacteristic
185C4×Dic38C2211yescharacteristic
186C4×Dic38C2211yescharacteristic
187C2×Q8×C19C2311yescharacteristic
188C2×Q8×C19C2311yescharacteristic
189C2×Q8×C19C2311yescharacteristic
190C2×D4×C19C2311yescharacteristic
191C2×D4×C19C2311yescharacteristic
192C2×D4×C19C2311yescharacteristic
193C22×C4×C19C2311yescharacteristic
194C22×C4×C19C2311yescharacteristic
195C22×C4×C19C2311yescharacteristic
196C2×C22⋊D19C2311yescharacteristic
197C2×C22⋊D19C2311yescharacteristic
198C2×C22⋊D19C2311yescharacteristic
199C2×C22⋊D19C2311yescharacteristic
200C2×C22⋊D19C2311yescharacteristic
201C2×C22⋊D19C2311yescharacteristic
202C22×Dic19C2311yescharacteristic
203C22×Dic19C2311yescharacteristic
204C22×Dic19C2311yescharacteristic
205C22×Dic19C2311yescharacteristic
206C22×Dic19C2311yescharacteristic
207C22×Dic19C2311yescharacteristic
208C2×D76C2311yescharacteristic
209C2×C4×D19C2311yescharacteristic
210C2×C4×D19C2311yescharacteristic
211C2×C4×D19C2311yescharacteristic
212C2×C4×D19C2311yescharacteristic
213C2×C4×D19C2311yescharacteristic
214C2×C4×D19C2311yescharacteristic
215C2×Dic38C2311yescharacteristic
216C2×Dic38C2311yescharacteristic
217C2×Dic38C2311yescharacteristic
218C2×Dic38C2311yescharacteristic
219C2×Dic38C2311yescharacteristic
220C2×Dic38C2311yescharacteristic
221C2×Dic38C2311yescharacteristic
222C4⋊C4×C19C2311yescharacteristic
223C4⋊C4×C19C2311yescharacteristic
224C4⋊C4×C19C2311yescharacteristic
225C4⋊C4×C19C2311yescharacteristic
226C4⋊C4×C19C2311yescharacteristic
227C4⋊C4×C19C2311yescharacteristic
228C4⋊C4×C19C2311yescharacteristic
229C4⋊C4×C19C2311yescharacteristic
230C4⋊C4×C19C2311yescharacteristic
231C4⋊C4×C19C2311yescharacteristic
232C22⋊C4×C19C2311yescharacteristic
233C22⋊C4×C19C2311yescharacteristic
234C22⋊C4×C19C2311yescharacteristic
235C22⋊C4×C19C2311yescharacteristic
236C22⋊C4×C19C2311yescharacteristic
237C22⋊C4×C19C2311yescharacteristic
238C22⋊C4×C19C2311yescharacteristic
239C22⋊C4×C19C2311yescharacteristic
240C22⋊C4×C19C2311yescharacteristic
241C22⋊C4×C19C2311yescharacteristic
242C22⋊C4×C19C2311yescharacteristic
243C22⋊C4×C19C2311yescharacteristic
244C42×C19C2311yescharacteristic
245C42×C19C2311yescharacteristic
246C42×C19C2311yescharacteristic
247C42×C19C2311yescharacteristic
248C22⋊Dic19C2311yescharacteristic
249C22⋊Dic19C2311yescharacteristic
250C22⋊Dic19C2311yescharacteristic
251C22⋊Dic19C2311yescharacteristic
252C22⋊Dic19C2311yescharacteristic
253C22⋊Dic19C2311yescharacteristic
254C22⋊Dic19C2311yescharacteristic
255C22⋊Dic19C2311yescharacteristic
256C22⋊Dic19C2311yescharacteristic
257C22⋊Dic19C2311yescharacteristic
258C22⋊Dic19C2311yescharacteristic
259C22⋊Dic19C2311yescharacteristic
260(C2×D19)⋊C4C2311yescharacteristic
261(C2×D19)⋊C4C2311yescharacteristic
262(C2×D19)⋊C4C2311yescharacteristic
263(C2×D19)⋊C4C2311yescharacteristic
264(C2×D19)⋊C4C2311yescharacteristic
265(C2×D19)⋊C4C2311yescharacteristic
266(C2×D19)⋊C4C2311yescharacteristic
267(C2×D19)⋊C4C2311yescharacteristic
268(C2×D19)⋊C4C2311yescharacteristic
269(C2×D19)⋊C4C2311yescharacteristic
270(C2×D19)⋊C4C2311yescharacteristic
271(C2×D19)⋊C4C2311yescharacteristic
272(C2×D19)⋊C4C2311yescharacteristic
273(C2×D19)⋊C4C2311yescharacteristic
274(C2×D19)⋊C4C2311yescharacteristic
275(C2×D19)⋊C4C2311yescharacteristic
276C4⋊Dic19C2311yescharacteristic
277C4⋊Dic19C2311yescharacteristic
278C4⋊Dic19C2311yescharacteristic
279C4⋊Dic19C2311yescharacteristic
280C4⋊Dic19C2311yescharacteristic
281C4⋊Dic19C2311yescharacteristic
282C4⋊Dic19C2311yescharacteristic
283C4⋊Dic19C2311yescharacteristic
284C4⋊Dic19C2311yescharacteristic
285C4⋊Dic19C2311yescharacteristic
286C4⋊Dic19C2311yescharacteristic
287C4⋊Dic19C2311yescharacteristic
288C4⋊Dic19C2311yescharacteristic
289C4⋊Dic19C2311yescharacteristic
290Dic19⋊C4C2311yescharacteristic
291Dic19⋊C4C2311yescharacteristic
292Dic19⋊C4C2311yescharacteristic
293Dic19⋊C4C2311yescharacteristic
294Dic19⋊C4C2311yescharacteristic
295Dic19⋊C4C2311yescharacteristic
296Dic19⋊C4C2311yescharacteristic
297Dic19⋊C4C2311yescharacteristic
298Dic19⋊C4C2311yescharacteristic
299Dic19⋊C4C2311yescharacteristic
300Dic19⋊C4C2311yescharacteristic
301Dic19⋊C4C2311yescharacteristic
302Dic19⋊C4C2311yescharacteristic
303Dic19⋊C4C2311yescharacteristic
304Dic19⋊C4C2311yescharacteristic
305Dic19⋊C4C2311yescharacteristic
306Dic19⋊C4C2311yescharacteristic
307Dic19⋊C4C2311yescharacteristic
308Dic19⋊C4C2311yescharacteristic
309Dic19⋊C4C2311yescharacteristic
310Dic19⋊C4C2311yescharacteristic
311Dic19⋊C4C2311yescharacteristic
312Dic19⋊C4C2311yescharacteristic
313Dic19⋊C4C2311yescharacteristic
314Dic19⋊C4C2311yescharacteristic
315Dic19⋊C4C2311yescharacteristic
316Dic19⋊C4C2311yescharacteristic
317Dic19⋊C4C2311yescharacteristic
318Dic19⋊C4C2311yescharacteristic
319Dic19⋊C4C2311yescharacteristic
320Dic19⋊C4C2311yescharacteristic
321Dic19⋊C4C2311yescharacteristic
322Dic19⋊C4C2311yescharacteristic
323Dic19⋊C4C2311yescharacteristic
324Dic19⋊C4C2311yescharacteristic
325Dic19⋊C4C2311yescharacteristic
326C4×Dic19C2311yescharacteristic
327C4×Dic19C2311yescharacteristic
328C4×Dic19C2311yescharacteristic
329C4×Dic19C2311yescharacteristic
330C4×Dic19C2311yescharacteristic
331C4×Dic19C2311yescharacteristic
332C4×Dic19C2311yescharacteristic
333C4×Dic19C2311yescharacteristic
334C4×Dic19C2311yescharacteristic
335C4×Dic19C2311yescharacteristic
336C4×Dic19C2311yescharacteristic
337C4×Dic19C2311yescharacteristic
338C4×Dic19C2311yescharacteristic
339C4×Dic19C2311yescharacteristic
340C4×Dic19C2311yescharacteristic
341C4×Dic19C2311yescharacteristic
342C23×C19C2411yescharacteristic
343C23×C19C2411yescharacteristic
344C23×C19C2411yescharacteristic
345C22×D19C2411yescharacteristic
346C22×D19C2411yescharacteristic
347Q8×C19—41no—
348Q8×C19—41no—
349Q8×C19—41no—
350D4×C19—41no—
351D4×C19—41no—
352D4×C19—41no—
353C2×C4×C19—41no—
354C2×C4×C19—41no—
355C2×C4×C19—41no—
356C2×C4×C19C2411yescharacteristic
357C2×C4×C19C2411yescharacteristic
358C2×C4×C19C2411yescharacteristic
359C2×C4×C19C2411yescharacteristic
360C2×C4×C19C2411yescharacteristic
361C2×C4×C19C2411yescharacteristic
362C2×C4×C19C2411yescharacteristic
363C2×C4×C19C2411yescharacteristic
364C2×C4×C19C2411yescharacteristic
365C2×C4×C19C2411yescharacteristic
366C2×C4×C19C2411yescharacteristic
367C2×C4×C19C2411yescharacteristic
368C22⋊D19—22no—
369C22⋊D19—22no—
370C22⋊D19—41no—
371C22⋊D19—41no—
372C22⋊D19—41no—
373C22⋊D19—41no—
374C2×Dic19—22no—
375C2×Dic19—41no—
376C2×Dic19—41no—
377C2×Dic19—41no—
378C2×Dic19—41no—
379C2×Dic19—41no—
380C2×Dic19C2411yescharacteristic
381C2×Dic19C2411yescharacteristic
382C2×Dic19C2411yescharacteristic
383C2×Dic19C2411yescharacteristic
384C2×Dic19C2411yescharacteristic
385C2×Dic19C2411yescharacteristic
386C2×Dic19C2411yescharacteristic
387C2×Dic19C2411yescharacteristic
388C2×Dic19C2411yescharacteristic
389C2×Dic19C2411yescharacteristic
390C2×Dic19C2411yescharacteristic
391C2×Dic19C2411yescharacteristic
392C2×Dic19C2411yescharacteristic
393C2×Dic19C2411yescharacteristic
394D76—41no—
395C4×D19—41no—
396C4×D19—41no—
397C4×D19—41no—
398C4×D19—41no—
399C4×D19—41no—
400C4×D19—41no—
401Dic38—22no—
402Dic38—22no—
403Dic38—41no—
404Dic38—41no—
405Dic38—41no—
406Dic38—41no—
407Dic38—41no—
408#3557—191nomaximal, Sylow
409C22×C19—21no—
410C22×C19—21no—
411C22×C19—21no—
412C22×C19—21no—
413C22×C19—21no—
414C22×C19—21no—
415C22×C19—21no—
416C22×C19—21no—
417C22×C19—21no—
418C22×C19C2511yescharacteristic
419C2×D19—21no—
420C2×D19—21no—
421C2×D19—21no—
422C2×D19—21no—
423C2×D19—21no—
424C2×D19—21no—
425C4×C19—21no—
426C4×C19—21no—
427C4×C19—21no—
428C4×C19—21no—
429C4×C19—21no—
430C4×C19—21no—
431C4×C19—21no—
432C4×C19—21no—
433C4×C19—21no—
434C4×C19—21no—
435C4×C19—21no—
436C4×C19—21no—
437Dic19—21no—
438Dic19—21no—
439Dic19—21no—
440Dic19—21no—
441Dic19—21no—
442Dic19—21no—
443Dic19—21no—
444Dic19—21no—
445Dic19—21no—
446Dic19—21no—
447Dic19—21no—
448Dic19—21no—
449Dic19—21no—
450Dic192−1+412yes—
451#563—191no—
452#563—191no—
453#563—191no—
454#563—191no—
455#559—191no—
456#559—191no—
457#557—191no—
458#557—191no—
459#556—191no—
460#556—191no—
461#554—191no—
462#554—191no—
463#552—191no—
464#552—191no—
465#552—191no—
466#552—191no—
467#542—191no—
468#542—191no—
469#542—191no—
470#542—191no—
471#542—191no—
472#542D1911yescharacteristic, complemented
473#541—191no—
474#540—191no—
475#539—191no—
476#539—191no—
477#539—191no—
478#539—191no—
479#533—191no—
480#529—191no—
481#529—191no—
482C2×C19—41no—
483C2×C19—41no—
484C2×C19—41no—
485C2×C19C2×2−1+411yescharacteristic
486C2×C19#58511yescharacteristic
487C2×C19#58511yescharacteristic
488D19—41no—
489D19—41no—
490C4⋊Q8—191no—
491C4⋊Q8—191no—
492C4⋊Q8—191no—
493C4⋊Q8—191no—
494C4⋊Q8—191no—
495C4⋊Q8—191no—
496C4⋊Q8—191no—
497C4⋊Q8—191no—
498C4⋊Q8C2×D1911yescharacteristic
499#127—191no—
500#126—191no—
501#126—191no—
502#126—191no—
503#126—191no—
504#126—191no—
505#126—191no—
506#126—191no—
507#126—191no—
508#126—191no—
509#126—191no—
510#126—191no—
511#126—191no—
512#126—191no—
513#126—191no—
514#126—191no—
515#126—191no—
516#126—191no—
517#126—191no—
518#126C2×D1911yescharacteristic
519#126C2×D1911yescharacteristic
520#125—191no—
521#125—191no—
522#125—191no—
523#125—191no—
524#125—191no—
525#125—191no—
526#125—191no—
527#125—191no—
528#125—191no—
529#125—191no—
530#125—191no—
531#125—191no—
532#125—191no—
533#125—191no—
534#125—191no—
535#125—191no—
536#125—191no—
537#125—191no—
538#124—191no—
539#124—191no—
540#124—191no—
541#124—191no—
542#124—191no—
543#124—191no—
544#124—191no—
545#124—191no—
546#124—191no—
547#124C2×D1911yescharacteristic
548#124C2×D1911yescharacteristic
549#124C2×D1911yescharacteristic
550#123—191no—
551#123—191no—
552#123—191no—
553#123—191no—
554#123—191no—
555#123—191no—
556#123—191no—
557#123—191no—
558#123—191no—
559#123—191no—
560#123—191no—
561#123—191no—
562#123—191no—
563#123—191no—
564#123—191no—
565#123—191no—
566#123—191no—
567#123—191no—
568#123C2×D1911yescharacteristic
569#123C2×D1911yescharacteristic
570C22⋊Q8—191no—
571C22⋊Q8—191no—
572C22⋊Q8—191no—
573C22⋊Q8—191no—
574C22⋊Q8—191no—
575C22⋊Q8—191no—
576C22⋊Q8—191no—
577C22⋊Q8—191no—
578C22⋊Q8—191no—
579C22⋊Q8—191no—
580C22⋊Q8—191no—
581C22⋊Q8—191no—
582C22⋊Q8—191no—
583C22⋊Q8—191no—
584C22⋊Q8—191no—
585C22⋊Q8—191no—
586C22⋊Q8—191no—
587C22⋊Q8—191no—
588C22⋊Q8—191no—
589C22⋊Q8—191no—
590C22⋊Q8—191no—
591C22⋊Q8—191no—
592C22⋊Q8—191no—
593C22⋊Q8C2×D1911yescharacteristic
594C22⋊Q8C2×D1911yescharacteristic
595C22⋊Q8C2×D1911yescharacteristic
596#121—191no—
597#121—191no—
598#121—191no—
599#121—191no—
600#121—191no—
601#121C2×D1911yescharacteristic
602C4×Q8—191no—
603C4×Q8—191no—
604C4×Q8—191no—
605C4×Q8—191no—
606C4×Q8—191no—
607C4×Q8—191no—
608C4×Q8—191no—
609C4×Q8—191no—
610C4×Q8—191no—
611C4×Q8—191no—
612C4×Q8—191no—
613C4×Q8—191no—
614C4×Q8—191no—
615C4×Q8C2×D1911yescharacteristic
616C4×D4—191no—
617C4×D4—191no—
618C4×D4—191no—
619C4×D4—191no—
620C4×D4—191no—
621C4×D4—191no—
622C4×D4—191no—
623C4×D4—191no—
624C4×D4—191no—
625C4×D4—191no—
626C4×D4—191no—
627C4×D4—191no—
628C4×D4—191no—
629C4×D4C2×D1911yescharacteristic
630#117—191no—
631#117—191no—
632#117—191no—
633#117—191no—
634#117—191no—
635#117—191no—
636#117—191no—
637#117—191no—
638#117—191no—
639#117C2×D1911yescharacteristic
640C2×C4⋊C4—191no—
641C2×C4⋊C4—191no—
642C2×C4⋊C4—191no—
643C2×C4⋊C4—191no—
644C2×C42—191no—
645C19#355711yescharacteristic, complemented, Sylow
646C2×Q8—191no—
647C2×Q8—191no—
648C2×Q8—191no—
649C2×Q8—191no—
650C2×Q8—191no—
651C2×Q8—191no—
652C2×Q8—191no—
653C2×Q8C22×D1911yescharacteristic
654C2×Q8C22×D1911yescharacteristic
655C2×Q8C22×D1911yescharacteristic
656C2×D4—191no—
657C2×D4—191no—
658C2×D4—191no—
659C2×D4—191no—
660C2×D4—191no—
661C2×D4—191no—
662C2×D4—191no—
663C2×D4C22×D1911yescharacteristic
664C2×D4C22×D1911yescharacteristic
665C2×D4C22×D1911yescharacteristic
666C22×C4—191no—
667C22×C4—191no—
668C22×C4—191no—
669C22×C4—191no—
670C22×C4—191no—
671C22×C4—191no—
672C22×C4—191no—
673C22×C4—191no—
674C22×C4—191no—
675C22×C4—191no—
676C22×C4—191no—
677C22×C4—191no—
678C22×C4C22×D1911yescharacteristic
679C22×C4C22×D1911yescharacteristic
680C22×C4C22×D1911yescharacteristic
681C4⋊C4—191no—
682C4⋊C4—191no—
683C4⋊C4—191no—
684C4⋊C4—191no—
685C4⋊C4—191no—
686C4⋊C4—191no—
687C4⋊C4—191no—
688C4⋊C4—191no—
689C4⋊C4—191no—
690C4⋊C4—191no—
691C4⋊C4—191no—
692C4⋊C4—191no—
693C4⋊C4—191no—
694C4⋊C4—191no—
695C4⋊C4—191no—
696C4⋊C4—191no—
697C4⋊C4—191no—
698C4⋊C4—191no—
699C4⋊C4—191no—
700C4⋊C4—191no—
701C4⋊C4—191no—
702C4⋊C4—191no—
703C4⋊C4—191no—
704C4⋊C4—191no—
705C4⋊C4—191no—
706C4⋊C4—191no—
707C4⋊C4—191no—
708C4⋊C4—191no—
709C4⋊C4—191no—
710C4⋊C4—191no—
711C4⋊C4—191no—
712C4⋊C4—191no—
713C4⋊C4—191no—
714C4⋊C4—191no—
715C4⋊C4—191no—
716C4⋊C4—191no—
717C4⋊C4—191no—
718C4⋊C4—191no—
719C4⋊C4—191no—
720C4⋊C4—191no—
721C4⋊C4—191no—
722C4⋊C4—191no—
723C4⋊C4—191no—
724C4⋊C4—191no—
725C4⋊C4—191no—
726C4⋊C4—191no—
727C4⋊C4—191no—
728C4⋊C4—191no—
729C4⋊C4—191no—
730C4⋊C4—191no—
731C4⋊C4C22×D1911yescharacteristic
732C4⋊C4C22×D1911yescharacteristic
733C4⋊C4C22×D1911yescharacteristic
734C4⋊C4C22×D1911yescharacteristic
735C4⋊C4C22×D1911yescharacteristic
736C4⋊C4C22×D1911yescharacteristic
737C4⋊C4C22×D1911yescharacteristic
738C4⋊C4C22×D1911yescharacteristic
739C4⋊C4C22×D1911yescharacteristic
740C4⋊C4C22×D1911yescharacteristic
741C22⋊C4—191no—
742C22⋊C4—191no—
743C22⋊C4—191no—
744C22⋊C4—191no—
745C22⋊C4—191no—
746C22⋊C4—191no—
747C22⋊C4—191no—
748C22⋊C4—191no—
749C22⋊C4—191no—
750C22⋊C4—191no—
751C22⋊C4—191no—
752C22⋊C4—191no—
753C22⋊C4—191no—
754C22⋊C4—191no—
755C22⋊C4—191no—
756C22⋊C4—191no—
757C22⋊C4—191no—
758C22⋊C4—191no—
759C22⋊C4—191no—
760C22⋊C4—191no—
761C22⋊C4—191no—
762C22⋊C4—191no—
763C22⋊C4—191no—
764C22⋊C4—191no—
765C22⋊C4—191no—
766C22⋊C4—191no—
767C22⋊C4—191no—
768C22⋊C4—191no—
769C22⋊C4C22×D1911yescharacteristic
770C22⋊C4C22×D1911yescharacteristic
771C22⋊C4C22×D1911yescharacteristic
772C22⋊C4C22×D1911yescharacteristic
773C22⋊C4C22×D1911yescharacteristic
774C22⋊C4C22×D1911yescharacteristic
775C22⋊C4C22×D1911yescharacteristic
776C22⋊C4C22×D1911yescharacteristic
777C22⋊C4C22×D1911yescharacteristic
778C22⋊C4C22×D1911yescharacteristic
779C22⋊C4C22×D1911yescharacteristic
780C22⋊C4C22×D1911yescharacteristic
781C42—191no—
782C42—191no—
783C42—191no—
784C42—191no—
785C42—191no—
786C42—191no—
787C42—191no—
788C42—191no—
789C42—191no—
790C42—191no—
791C42—191no—
792C42—191no—
793C42—191no—
794C42—191no—
795C42—191no—
796C42—191no—
797C42C22×D1911yescharacteristic
798C42C22×D1911yescharacteristic
799C42C22×D1911yescharacteristic
800C42C22×D1911yescharacteristic
801C23—191no—
802C23—191no—
803C23C23×D1911yescharacteristic
804C23C23×D1911yescharacteristic
805C23C23×D1911yescharacteristic
806Q8—41no—
807Q8—41no—
808Q8—41no—
809Q8—382no—
810Q8—382no—
811Q8—761no—
812Q8—761no—
813Q8—761no—
814Q8—761no—
815Q8—761no—
816D4—41no—
817D4—41no—
818D4—41no—
819D4—382no—
820D4—382no—
821D4—761no—
822D4—761no—
823D4—761no—
824D4—761no—
825D4—761no—
826C2×C4—41no—
827C2×C4—41no—
828C2×C4—41no—
829C2×C4—191no—
830C2×C4—191no—
831C2×C4—191no—
832C2×C4—191no—
833C2×C4—191no—
834C2×C4—191no—
835C2×C4—191no—
836C2×C4—191no—
837C2×C4—191no—
838C2×C4—191no—
839C2×C4—191no—
840C2×C4—191no—
841C2×C4—191no—
842C2×C4—191no—
843C2×C4—382no—
844C2×C4—761no—
845C2×C4—761no—
846C2×C4—761no—
847C2×C4—761no—
848C2×C4—761no—
849C2×C4—761no—
850C2×C4—761no—
851C2×C4—761no—
852C2×C4—761no—
853C2×C4—761no—
854C2×C4—761no—
855C2×C4C23×D1911yescharacteristic
856C2×C4C23×D1911yescharacteristic
857C2×C4C23×D1911yescharacteristic
858C2×C4C23×D1911yescharacteristic
859C2×C4C23×D1911yescharacteristic
860C2×C4C23×D1911yescharacteristic
861C2×C4C23×D1911yescharacteristic
862C2×C4C23×D1911yescharacteristic
863C2×C4C23×D1911yescharacteristic
864C2×C4C23×D1911yescharacteristic
865C2×C4C23×D1911yescharacteristic
866C2×C4C23×D1911yescharacteristic
867C22—21no—
868C22—21no—
869C22—21no—
870C22—21no—
871C22—21no—
872C22—21no—
873C22—21no—
874C22—21no—
875C22—21no—
876C22—381no—
877C22—381no—
878C22—381no—
879C22—381no—
880C22—381no—
881C22—381no—
882C22C24×D1911yescharacteristic
883C4—21no—
884C4—21no—
885C4—21no—
886C4—21no—
887C4—21no—
888C4—21no—
889C4—21no—
890C4—21no—
891C4—21no—
892C4—21no—
893C4—21no—
894C4—21no—
895C4—192no—
896C4—381no—
897C4—381no—
898C4—381no—
899C4—381no—
900C4—381no—
901C4—381no—
902C4—381no—
903C4—381no—
904C4—381no—
905C4—381no—
906C4—381no—
907C4—381no—
908C4—381no—
909C2—41no—
910C2—41no—
911C2—41no—
912C2—761no—
913C2—761no—
914C22−1+4×D1911yescharacteristic
915C2#1192737911yescharacteristic
916C2#1192738011yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#542C2
prime radical#11927144C2
hypercenter#542D19
hypocenterC19#3557
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #542

Complements

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

NH ≅ G/Ntype
1. #11927296C2semidirect
2. #11927295C2semidirect
3. #11927294C2semidirect
4. #11927293C2semidirect
5. #11927278C2semidirect
6. #11927276C2semidirect
7. #11927272C2semidirect
8. #11927269C2semidirect
9. #11927262C2semidirect
10. #11927261C2semidirect
11. #11927248C2semidirect
12. #11927248C2semidirect
13. #11927235C2semidirect
14. #11927231C2semidirect
15. #11927228C2semidirect
16. #11927227C2semidirect
17. #11927164C2semidirect
18. #11927163C2semidirect
19. #11927158C2semidirect
20. #11927158C2semidirect
21. #11927158C2semidirect
22. #11927151C2semidirect
24. #11927139C2semidirect
25. #11927137C2semidirect
26. #11927136C2semidirect
27. #11927135C2semidirect
28. #11927096C2semidirect
29. #11927074C2semidirect
30. #11927071C2semidirect
31. C19×#542C2semidirect
472. #542D19semidirect
645. C19#3557semidirect

Maximal subgroups

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

subgroupindex
#119272962
#119272952
#119272942
#119272932
#119272782
#119272762
#119272722
#119272692
#119272622
#119272612
#119272482
#119272352
#119272312
#119272282
#119272272
#119271642
#119271632
#119271582
#119271512
#119271442
#119271392
#119271372
#119271362
#119271352
#119270962
#119270742
#119270712
C19×#5422
#355719