Finite Group Databasebeta

← #36715950

Subgroups — #36715950

Order 22784.

2494 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152198C211yesmaximal, characteristic
2#26023385C211yesmaximal, characteristic, complemented
3#26023381C211yesmaximal, characteristic, complemented
4#26023351C211yesmaximal, characteristic, complemented
5#26023349C211yesmaximal, characteristic, complemented
6#26023315C211yesmaximal, characteristic, complemented
7#26023314C211yesmaximal, characteristic, complemented
8#26023301C211yesmaximal, characteristic, complemented
9#26023297C211yesmaximal, characteristic, complemented
10#26023293C211yesmaximal, characteristic, complemented
11#26023287C211yesmaximal, characteristic, complemented
12#26023287C211yesmaximal, characteristic, complemented
13#26023286C211yesmaximal, characteristic, complemented
14#26023269C211yesmaximal, characteristic, complemented
15#26023269C211yesmaximal, characteristic, complemented
16#26023239C211yesmaximal, characteristic, complemented
17#26023238C211yesmaximal, characteristic, complemented
18#26023044C211yesmaximal, characteristic, complemented
19#26023038C211yesmaximal, characteristic, complemented
20#26023019C211yesmaximal, characteristic, complemented
21#26023012C211yesmaximal, characteristic, complemented
22#26022894C211yesmaximal, characteristic, complemented
23#26022779C211yesmaximal, characteristic, complemented
24C4×#15667995C211yesmaximal, characteristic, complemented
25#26022764C211yesmaximal, characteristic, complemented
26#26022746C211yesmaximal, characteristic, complemented
27#26022712C211yesmaximal, characteristic, complemented
28#26022611C211yesmaximal, characteristic, complemented
29#26022607C211yesmaximal, characteristic, complemented
30C42×C22⋊D89C211yesmaximal, characteristic, complemented
31C4×#121×C89C211yesmaximal, characteristic, complemented
32#19152198C4116yescomplemented
33C2×#15668008C2211yescharacteristic
34C2×#15668002C2211yescharacteristic
35C2×#15667997C2211yescharacteristic
36C2×#15667995C2211yescharacteristic
37C2×#15667994C2211yescharacteristic
38C2×#15667993C2211yescharacteristic
39C2×#15667985C2211yescharacteristic
40C2×#15667984C2211yescharacteristic
41C2×#15667984C2211yescharacteristic
42C2×#15667984C2211yescharacteristic
43C2×#15667983C2211yescharacteristic
44C2×#15667974C2211yescharacteristic
45C2×C4×C22⋊D89C2211yescharacteristic
46C2×C4×C22⋊D89C2211yescharacteristic
47C2×C4×C22⋊D89C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C2×#15667972C2211yescharacteristic
51C2×#15667972C2211yescharacteristic
52C2×#15667972C2211yescharacteristic
53C2×#15667972C2211yescharacteristic
54C2×#15667972C2211yescharacteristic
55C2×#15667970C2211yescharacteristic
56C2×#15667968C2211yescharacteristic
57C2×#15667968C2211yescharacteristic
58C2×#15667968C2211yescharacteristic
59C22×#13083553C2211yescharacteristic
60C2×C42×D89C2211yescharacteristic
61#19151501C2211yescharacteristic
62#19151501C2211yescharacteristic
63#19151500C2211yescharacteristic
64#19151498C2211yescharacteristic
65#19151498C2211yescharacteristic
66#19151498C2211yescharacteristic
67#19151498C2211yescharacteristic
68#19151498C2211yescharacteristic
69#19151498C2211yescharacteristic
70#19151498C2211yescharacteristic
71#19151498C2211yescharacteristic
72#19151496C2211yescharacteristic
73#19151495C2211yescharacteristic
74#19151493C2211yescharacteristic
75#19151493C2211yescharacteristic
76#19151493C2211yescharacteristic
77#19151493C2211yescharacteristic
78#19151493C2211yescharacteristic
79#19151492C2211yescharacteristic
80#19151492C2211yescharacteristic
81#19151491C2211yescharacteristic
82#19151491C2211yescharacteristic
83#19151490C2211yescharacteristic
84#19151489C2211yescharacteristic
85#19151489C2211yescharacteristic
86#19151489C2211yescharacteristic
87#19151488C2211yescharacteristic
88#19151488C2211yescharacteristic
89#19151488C2211yescharacteristic
90#19151487C2211yescharacteristic
91#19151486C2211yescharacteristic
92#19151486C2211yescharacteristic
93#19151486C2211yescharacteristic
94#19151486C2211yescharacteristic
95#19151486C2211yescharacteristic
96#19151486C2211yescharacteristic
97#19151485C2211yescharacteristic
98#19151485C2211yescharacteristic
99#19151484C2211yescharacteristic
100#19151484C2211yescharacteristic
101#19151483C2211yescharacteristic
102#19151482C2211yescharacteristic
103#19151482C2211yescharacteristic
104#19151482C2211yescharacteristic
105#19151481C2211yescharacteristic
106#19151480C2211yescharacteristic
107#19151479C2211yescharacteristic
108#19151479C2211yescharacteristic
109#19151478C2211yescharacteristic
110#19151478C2211yescharacteristic
111#19151478C2211yescharacteristic
112#19151478C2211yescharacteristic
113#19151477C2211yescharacteristic
114#19151477C2211yescharacteristic
115#19151477C2211yescharacteristic
116#19151477C2211yescharacteristic
117#19151476C2211yescharacteristic
118#19151476C2211yescharacteristic
119#19151474C2211yescharacteristic
120#19151474C2211yescharacteristic
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151471C2211yescharacteristic
124#19151471C2211yescharacteristic
125#19151469C2211yescharacteristic
126#19151469C2211yescharacteristic
127#19151461C2211yescharacteristic
128#19151460C2211yescharacteristic
129#19151457C2211yescharacteristic
130C4⋊C4×Dic89C2211yescharacteristic
131C4⋊C4×Dic89C2211yescharacteristic
132C4×#13083553C2211yescharacteristic
133C4×#13083553C2211yescharacteristic
134C4×#13083553C2211yescharacteristic
135C4×#13083553C2211yescharacteristic
136C4×#13083553C2211yescharacteristic
137C4×#13083553C2211yescharacteristic
138C4×#13083553C2211yescharacteristic
139C4×#13083553C2211yescharacteristic
140#19151449C2211yescharacteristic
141#19151449C2211yescharacteristic
142#19151449C2211yescharacteristic
143#19151449C2211yescharacteristic
144#19151449C2211yescharacteristic
145#19151449C2211yescharacteristic
146#19151449C2211yescharacteristic
147C22⋊C4×Dic89C2211yescharacteristic
148C22⋊C4×Dic89C2211yescharacteristic
149C22⋊C4×Dic89C2211yescharacteristic
150C22⋊C4×Dic89C2211yescharacteristic
151C22⋊C4×Dic89C2211yescharacteristic
152C22⋊C4×Dic89C2211yescharacteristic
153C22⋊C4×Dic89C2211yescharacteristic
154C22⋊C4×Dic89C2211yescharacteristic
155C4×#13083551C2211yescharacteristic
156C4×#13083551C2211yescharacteristic
157C4×#13083551C2211yescharacteristic
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic
160C4×#13083551C2211yescharacteristic
161C4×C22⋊Dic89C2211yescharacteristic
162C4×C22⋊Dic89C2211yescharacteristic
163C4×C22⋊Dic89C2211yescharacteristic
164C4×C22⋊Dic89C2211yescharacteristic
165C4×C22⋊Dic89C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic
168#19151445C2211yescharacteristic
169#19151443C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171#95×D89C2211yescharacteristic
172C42×Dic89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×C4×D4×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic
176C2×C4×D4×C89C2211yescharacteristic
177C22×C42×C89C2211yescharacteristic
178#390×C89C2211yescharacteristic
179#389×C89C2211yescharacteristic
180#388×C89C2211yescharacteristic
181#388×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#380×C89C2211yescharacteristic
185C4×C4⋊C4×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C4×C22⋊C4×C89C2211yescharacteristic
188C22×D356C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C22×C4×D89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205#15668008C2×C418yescomplemented
206#15668002C2×C418yescomplemented
207#15667997C2×C418yescomplemented
208#15667995C2×C418yescomplemented
209#15667994C2×C418yescomplemented
210#15667993C2×C418yescomplemented
211#15667985C2×C418yescomplemented
212#15667984C2×C418yescomplemented
213#15667984C2×C418yescomplemented
214#15667984C2×C418yescomplemented
215#15667983C2×C418yescomplemented
216#15667974—42no—
217C4×C22⋊D89—24no—
218C4×C22⋊D89—24no—
219C4×C22⋊D89—24no—
220C4×C22⋊D89—42no—
221C4×C22⋊D89C2×C418yescomplemented
222#15667972—24no—
223#15667972—42no—
224#15667972—42no—
225#15667972—42no—
226#15667972C2×C418yescomplemented
227#15667970—42no—
228#15667968—24no—
229#15667968—42no—
230#15667968C2×C418yescomplemented
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×#13083553—24no—
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×C4×Dic89C2311yescharacteristic
284C2×C4×Dic89C2311yescharacteristic
285C2×C4×Dic89C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C42×D89—42no—
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344#121×C89C2×C418yescomplemented
345C4×D4×C89—42no—
346C4×D4×C89—42no—
347C4×D4×C89—42no—
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C4⋊C4×C89C2311yescharacteristic
352C2×C4⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C42×C89—42no—
364C2×C42×C89C2311yescharacteristic
365C2×C42×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367C2×C42×C89C2311yescharacteristic
368C2×C42×C89C2311yescharacteristic
369C2×C42×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C2×D356—41no—
379C2×D356—41no—
380C2×D356C22×C414yes—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—41no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89C22×C414yes—
394C2×C22⋊D89C22×C414yes—
395C2×C22⋊D89C22×C414yes—
396C2×C22⋊D89C22×C414yes—
397C2×C22⋊D89C22×C414yes—
398C2×C22⋊D89C22×C414yes—
399C22×Dic89—22no—
400C22×Dic89—22no—
401C22×Dic89—22no—
402C22×Dic89—22no—
403C22×Dic89—41no—
404C22×Dic89—41no—
405C22×Dic89—41no—
406C22×Dic89—41no—
407C22×Dic89—41no—
408C22×Dic89—41no—
409C22×Dic89C22×C414yes—
410C22×Dic89C22×C414yes—
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C2×C4×D89—22no—
426C2×C4×D89—22no—
427C2×C4×D89—22no—
428C2×C4×D89—22no—
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—41no—
432C2×C4×D89—41no—
433C2×C4×D89—41no—
434C2×C4×D89—41no—
435C2×C4×D89—41no—
436C2×C4×D89—41no—
437C2×C4×D89—41no—
438C2×C4×D89—41no—
439C2×C4×D89—41no—
440C2×C4×D89—41no—
441C2×C4×D89C22×C414yes—
442C2×C4×D89C22×C414yes—
443C4⋊Dic89—41no—
444C4⋊Dic89—41no—
445C4⋊Dic89C22×C414yes—
446#13083553—22no—
447#13083553—22no—
448#13083553—22no—
449#13083553—22no—
450#13083553—22no—
451#13083553—22no—
452#13083553—41no—
453#13083553—41no—
454#13083553—41no—
455#13083553—41no—
456#13083553C22×C414yes—
457#13083553C22×C414yes—
458#13083553C22×C414yes—
459#13083553C22×C414yes—
460#13083553C22×C414yes—
461#13083553C22×C414yes—
462#13083553#4114yes—
463#13083553#4114yes—
464C22⋊Dic89—22no—
465C22⋊Dic89—22no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—41no—
469C22⋊Dic89—41no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89C22×C414yes—
475C22⋊Dic89C22×C414yes—
476C22⋊Dic89C22×C414yes—
477C22⋊Dic89C22×C414yes—
478#13083551—22no—
479#13083551—22no—
480#13083551—22no—
481#13083551—22no—
482#13083551—22no—
483#13083551—22no—
484#13083551—41no—
485#13083551—41no—
486#13083551—41no—
487#13083551—41no—
488#13083551—41no—
489#13083551—41no—
490#13083551C22×C414yes—
491#13083551C22×C414yes—
492#13083551C22×C414yes—
493#13083551C22×C414yes—
494C4×Dic89—22no—
495C4×Dic89—22no—
496C4×Dic89—22no—
497C4×Dic89—22no—
498C4×Dic89—22no—
499C4×Dic89—22no—
500C4×Dic89—22no—
501C4×Dic89—22no—
502C4×Dic89—41no—
503C4×Dic89—41no—
504C4×Dic89—41no—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C4×Dic89—41no—
511C4×Dic89—41no—
512C4×Dic89—41no—
513C4×Dic89—41no—
514C4×Dic89C22×C414yes—
515C4×Dic89C22×C414yes—
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C2×D4×C89—41no—
520C2×D4×C89—41no—
521C2×D4×C89—41no—
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89—41no—
525C2×D4×C89C22×C414yes—
526C2×D4×C89C22×C414yes—
527C2×D4×C89C22×C414yes—
528C22×C4×C89—22no—
529C22×C4×C89—22no—
530C22×C4×C89—22no—
531C22×C4×C89—22no—
532C22×C4×C89—22no—
533C22×C4×C89—22no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89C22×C414yes—
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C4⋊C4×C89—22no—
556C4⋊C4×C89—22no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89C22×C414yes—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89C22×C414yes—
569C22⋊C4×C89C22×C414yes—
570C42×C89—22no—
571C42×C89—22no—
572C42×C89—41no—
573C42×C89—41no—
574C42×C89—41no—
575C42×C89—41no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89C23×C412yes—
595C23×C89C23×C412yes—
596C23×C89C23×C412yes—
597C23×C89C2511yescharacteristic
598C22×D89—21no—
599C22×D89—21no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89C23×C412yes—
611C22×D89C23×C412yes—
612D4×C89—44no—
613D4×C89—44no—
614D4×C89—44no—
615C2×C4×C89—21no—
616C2×C4×C89—21no—
617C2×C4×C89—21no—
618C2×C4×C89—21no—
619C2×C4×C89—21no—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—44no—
644C2×C4×C89—44no—
645C2×C4×C89—44no—
646C2×C4×C89—82no—
647C2×C4×C89—82no—
648C2×C4×C89C23×C412yes—
649C2×C4×C89C23×C412yes—
650C2×C4×C89C23×C412yes—
651C2×C4×C89C23×C412yes—
652C2×C4×C89C2×#4112yes—
653C2×C4×C89C2×#4112yes—
654C2×C4×C89H(5,𝔽2)12yes—
655C2×C4×C89H(5,𝔽2)12yes—
656C22⋊D89—28no—
657C22⋊D89—28no—
658C22⋊D89—44no—
659C22⋊D89—44no—
660C22⋊D89—44no—
661C22⋊D89—44no—
662C2×Dic89—21no—
663C2×Dic89—21no—
664C2×Dic89—21no—
665C2×Dic89—21no—
666C2×Dic89—21no—
667C2×Dic89—21no—
668C2×Dic89—21no—
669C2×Dic89—21no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—28no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—44no—
696C2×Dic89—82no—
697C2×Dic89—82no—
698C2×Dic89C23×C412yes—
699C2×Dic89C23×C412yes—
700C2×Dic89C23×C412yes—
701C2×Dic89C23×C412yes—
702C2×Dic89C23×C412yes—
703C2×Dic89C23×C412yes—
704C2×Dic89C2×#4112yes—
705C2×Dic89C2×#4112yes—
706C2×Dic89C2×#4112yes—
707C2×Dic89C2×#4112yes—
708D356—44no—
709C4×D89—44no—
710C4×D89—44no—
711C4×D89—44no—
712C4×D89—44no—
713C4×D89—82no—
714C4×D89—82no—
715C22×C89—22no—
716C22×C89—22no—
717C22×C89—22no—
718C22×C89—22no—
719C22×C89—22no—
720C22×C89—22no—
721C22×C89—22no—
722C22×C89—22no—
723C22×C89—22no—
724C22×C89—41no—
725C22×C89—41no—
726C22×C89—41no—
727C22×C89—41no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89—41no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89C24×C411yescharacteristic
737C22×C89C22×#4111yescharacteristic
738C22×C89C22×#4111yescharacteristic
739C22×C89C2×H(5,𝔽2)11yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89#58511yescharacteristic
742C22×C89#58511yescharacteristic
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—41no—
750C2×D89—41no—
751C2×D89—41no—
752C2×D89—41no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C4×C89—22no—
758C4×C89—22no—
759C4×C89—22no—
760C4×C89—22no—
761C4×C89—22no—
762C4×C89—22no—
763C4×C89—22no—
764C4×C89—22no—
765C4×C89—41no—
766C4×C89—41no—
767C4×C89—41no—
768C4×C89—41no—
769Dic89—22no—
770Dic89—22no—
771Dic89—22no—
772Dic89—22no—
773Dic89—22no—
774Dic89—22no—
775Dic89—22no—
776Dic89—41no—
777Dic89—41no—
778Dic89—41no—
779Dic89—41no—
780Dic89—41no—
781Dic89—41no—
782Dic89C4×#4114yes—
783#34287—891nomaximal, Sylow
784C2×C89—42no—
785C2×C89—42no—
786C2×C89—42no—
787C2×C89C2×C4×#4111yescharacteristic
788C2×C89C4×H(5,𝔽2)11yescharacteristic
789C2×C89C4×H(5,𝔽2)11yescharacteristic
790C2×C89#351311yescharacteristic
791C2×C89#351711yescharacteristic
792C2×C89#351911yescharacteristic
793C2×C89#352411yescharacteristic
794D89—42no—
795D89—42no—
796C2×#540—891no—
797#2374—891no—
798#2374—891no—
799#2370—891no—
800#2370—891no—
801#2366—891no—
802#2366—891no—
803#2364—891no—
804#2364—891no—
805#2363—891no—
806#2363—891no—
807#2363—891no—
808#2363—891no—
809#2361—891no—
810#2361—891no—
811#2359—891no—
812#2359—891no—
813#2335—891no—
814#2335—891no—
815#2333—891no—
816#2333—891no—
817#2319—891no—
818C4×#123—891no—
819C4×#123—891no—
820C4×#121—891no—
821C4×#121D8911yescharacteristic, complemented
822#2298—891no—
823#2293—891no—
824#2275—891no—
825#2274—891no—
826C42×D4—891no—
827C89#3428711yescharacteristic, complemented, Sylow
828#540—8916no—
829C2×#127—891no—
830C2×#125—891no—
831C2×#123—891no—
832C2×#123—891no—
833C2×#123—891no—
834C2×#123—891no—
835C2×#121—891no—
836C2×#121—891no—
837C2×#121—891no—
838C2×#121—891no—
839C2×#121—891no—
840C2×#121C2×D8911yescharacteristic
841C2×C4×D4—891no—
842C2×C4×D4—891no—
843C2×C4×D4—891no—
844C2×C4×D4—891no—
845C2×C4×D4—891no—
846C2×C4×D4—891no—
847C2×C4×D4—891no—
848C2×C4×D4—891no—
849C2×C4×D4—891no—
850C2×C4×D4—891no—
851C2×C4×D4—891no—
852C2×C4×D4C2×D8911yescharacteristic
853C2×C4×D4C2×D8911yescharacteristic
854C2×C4×D4C2×D8911yescharacteristic
855C2×#117—891no—
856C2×#117—891no—
857C2×#117—891no—
858C2×#117—891no—
859C22×C4⋊C4—891no—
860C22×C42—891no—
861C22×C42C2×D8911yescharacteristic
862#390—891no—
863#390—891no—
864#390—891no—
865#390—891no—
866#390—891no—
867#390—891no—
868#390—891no—
869#390—891no—
870#390—891no—
871#390—891no—
872#390—891no—
873#390C2×D8911yescharacteristic
874#389—891no—
875#389—891no—
876#389—891no—
877#389—891no—
878#389—891no—
879#389—891no—
880#389—891no—
881#389C2×D8911yescharacteristic
882#388—891no—
883#388—891no—
884#388—891no—
885#388—891no—
886#388—891no—
887#388—891no—
888#388—891no—
889#388—891no—
890#388—891no—
891#388—891no—
892#388—891no—
893#388—891no—
894#388—891no—
895#388—891no—
896#388—891no—
897#388—891no—
898#388—891no—
899#388—891no—
900#388C2×D8911yescharacteristic
901#388C2×D8911yescharacteristic
902#387—891no—
903#387—891no—
904#387—891no—
905#387—891no—
906#387—891no—
907#387—891no—
908#387—891no—
909#387—891no—
910#387—891no—
911#387—891no—
912#387—891no—
913#387—891no—
914#386—891no—
915#386—891no—
916#386—891no—
917#386—891no—
918#386—891no—
919#386—891no—
920#386—891no—
921#386—891no—
922#386—891no—
923#386—891no—
924#386—891no—
925#386—891no—
926#386—891no—
927#386—891no—
928#386C2×D8911yescharacteristic
929#386C2×D8911yescharacteristic
930#385—891no—
931#385—891no—
932#385—891no—
933#385—891no—
934#381—891no—
935#381—891no—
936#380—891no—
937#380C2×D8911yescharacteristic
938C4×C4⋊C4—891no—
939C4×C4⋊C4—891no—
940C4×C4⋊C4—891no—
941C4×C4⋊C4—891no—
942C4×C4⋊C4—891no—
943C4×C4⋊C4—891no—
944C4×C4⋊C4—891no—
945C4×C4⋊C4—891no—
946C4×C4⋊C4—891no—
947C4×C4⋊C4—891no—
948C4×C4⋊C4—891no—
949C4×C4⋊C4—891no—
950C4×C4⋊C4—891no—
951C4×C4⋊C4—891no—
952C4×C4⋊C4—891no—
953C4×C4⋊C4—891no—
954C4×C4⋊C4—891no—
955C4×C4⋊C4C2×D8911yescharacteristic
956C4×C22⋊C4—891no—
957C4×C22⋊C4—891no—
958C4×C22⋊C4—891no—
959C4×C22⋊C4—891no—
960C4×C22⋊C4—891no—
961C4×C22⋊C4—891no—
962C4×C22⋊C4—891no—
963C4×C22⋊C4—891no—
964C4×C22⋊C4—891no—
965C4×C22⋊C4—891no—
966C4×C22⋊C4—891no—
967C4×C22⋊C4—891no—
968C4×C22⋊C4—891no—
969C4×C22⋊C4—891no—
970C4×C22⋊C4—891no—
971C4×C22⋊C4—891no—
972C4×C22⋊C4—891no—
973C4×C22⋊C4—891no—
974C4×C22⋊C4—891no—
975C4×C22⋊C4—891no—
976C4×C22⋊C4—891no—
977C4×C22⋊C4—891no—
978C4×C22⋊C4C2×D8911yescharacteristic
979C4×C22⋊C4C2×D8911yescharacteristic
980#376—891no—
981C2×#95—891no—
982C2×#95—891no—
983C43—891no—
984C22×D4—891no—
985C22×D4—891no—
986C22×D4—891no—
987C22×D4—891no—
988C22×D4—891no—
989C22×D4—891no—
990C22×D4—891no—
991C22×D4C22×D8911yescharacteristic
992C22×D4C22×D8911yescharacteristic
993C22×D4C22×D8911yescharacteristic
994C23×C4—891no—
995C23×C4—891no—
996C23×C4—891no—
997C23×C4—891no—
998C23×C4—891no—
999C23×C4—891no—
1000C23×C4—891no—
1001C23×C4—891no—
1002C23×C4—891no—
1003C23×C4—891no—
1004C23×C4C22×D8911yescharacteristic
1005C23×C4C22×D8911yescharacteristic
1006C23×C4C22×D8911yescharacteristic
1007C23×C4C22×D8911yescharacteristic
1008C23×C4C22×D8911yescharacteristic
1009#127—898no—
1010#125—898no—
1011#123—898no—
1012#123—898no—
1013#123—898no—
1014#123—898no—
1015#121—898no—
1016#121—898no—
1017#121—898no—
1018#121—898no—
1019#121—898no—
1020#121C4×D8918yescomplemented
1021C4×D4—42no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—898no—
1025C4×D4—898no—
1026C4×D4—3562no—
1027C4×D4—3562no—
1028C4×D4—3562no—
1029C4×D4—3562no—
1030C4×D4—3562no—
1031C4×D4—1784no—
1032C4×D4—1784no—
1033C4×D4—1784no—
1034C4×D4—1784no—
1035#117—898no—
1036#117—3562no—
1037#117—3562no—
1038#117—1784no—
1039C2×C4⋊C4—891no—
1040C2×C4⋊C4—891no—
1041C2×C4⋊C4—891no—
1042C2×C4⋊C4—891no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—891no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—1784no—
1061C2×C4⋊C4C22×D8911yescharacteristic
1062C2×C4⋊C4C22×D8911yescharacteristic
1063C2×C4⋊C4C22×D8911yescharacteristic
1064C2×C4⋊C4C22×D8911yescharacteristic
1065C2×C4⋊C4C22×D8911yescharacteristic
1066C2×C22⋊C4—891no—
1067C2×C22⋊C4—891no—
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—891no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4C22×D8911yescharacteristic
1097C2×C22⋊C4C22×D8911yescharacteristic
1098C2×C22⋊C4C22×D8911yescharacteristic
1099C2×C22⋊C4C22×D8911yescharacteristic
1100C2×C22⋊C4C22×D8911yescharacteristic
1101C2×C22⋊C4C22×D8911yescharacteristic
1102C2×C22⋊C4C22×D8911yescharacteristic
1103C2×C22⋊C4C22×D8911yescharacteristic
1104C2×C22⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4C22×D8911yescharacteristic
1106C2×C42—42no—
1107C2×C42—891no—
1108C2×C42—891no—
1109C2×C42—891no—
1110C2×C42—891no—
1111C2×C42—891no—
1112C2×C42—891no—
1113C2×C42—891no—
1114C2×C42—891no—
1115C2×C42—891no—
1116C2×C42—891no—
1117C2×C42—891no—
1118C2×C42—891no—
1119C2×C42—891no—
1120C2×C42—891no—
1121C2×C42—891no—
1122C2×C42—891no—
1123C2×C42—891no—
1124C2×C42—891no—
1125C2×C42—891no—
1126C2×C42—891no—
1127C2×C42—891no—
1128C2×C42—891no—
1129C2×C42—3562no—
1130C2×C42C22×D8911yescharacteristic
1131C2×C42C22×D8911yescharacteristic
1132C2×C42C22×D8911yescharacteristic
1133C2×C42C22×D8911yescharacteristic
1134C2×C42C22×D8911yescharacteristic
1135C2×C42C22×D8911yescharacteristic
1136#95—891no—
1137#95—891no—
1138#95—891no—
1139#95—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95C22×D8911yescharacteristic
1167#95C22×D8911yescharacteristic
1168#95C22×D8911yescharacteristic
1169#95C22×D8911yescharacteristic
1170#95C22×D8911yescharacteristic
1171#95C22×D8911yescharacteristic
1172C24—891no—
1173C24—891no—
1174C24C23×D8911yescharacteristic
1175C24C23×D8911yescharacteristic
1176C24C23×D8911yescharacteristic
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—894no—
1184C2×D4—894no—
1185C2×D4—894no—
1186C2×D4—894no—
1187C2×D4—894no—
1188C2×D4—894no—
1189C2×D4—894no—
1190C2×D4—3561no—
1191C2×D4—3561no—
1192C2×D4—3561no—
1193C2×D4—3561no—
1194C2×D4—3561no—
1195C2×D4—3561no—
1196C2×D4—3561no—
1197C2×D4—3561no—
1198C2×D4—3561no—
1199C2×D4—3561no—
1200C2×D4—1782no—
1201C2×D4—1782no—
1202C2×D4—1782no—
1203C2×D4—1782no—
1204C2×D4C2×C4×D8914yes—
1205C2×D4C2×C4×D8914yes—
1206C2×D4C2×C4×D8914yes—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—891no—
1222C22×C4—894no—
1223C22×C4—894no—
1224C22×C4—891no—
1225C22×C4—891no—
1226C22×C4—891no—
1227C22×C4—891no—
1228C22×C4—891no—
1229C22×C4—891no—
1230C22×C4—891no—
1231C22×C4—894no—
1232C22×C4—894no—
1233C22×C4—891no—
1234C22×C4—891no—
1235C22×C4—891no—
1236C22×C4—891no—
1237C22×C4—891no—
1238C22×C4—891no—
1239C22×C4—3561no—
1240C22×C4—3561no—
1241C22×C4—3561no—
1242C22×C4—3561no—
1243C22×C4—3561no—
1244C22×C4—3561no—
1245C22×C4—3561no—
1246C22×C4—3561no—
1247C22×C4—3561no—
1248C22×C4—3561no—
1249C22×C4—3561no—
1250C22×C4—3561no—
1251C22×C4—3561no—
1252C22×C4—3561no—
1253C22×C4—3561no—
1254C22×C4—3561no—
1255C22×C4—1782no—
1256C22×C4—1782no—
1257C22×C4—1782no—
1258C22×C4—1782no—
1259C22×C4—1782no—
1260C22×C4—1782no—
1261C22×C4—1782no—
1262C22×C4—1782no—
1263C22×C4—1782no—
1264C22×C4—1782no—
1265C22×C4C2×C4×D8914yes—
1266C22×C4C23×D8911yescharacteristic
1267C22×C4C23×D8911yescharacteristic
1268C22×C4C23×D8911yescharacteristic
1269C22×C4C23×D8911yescharacteristic
1270C22×C4C23×D8911yescharacteristic
1271C22×C4C23×D8911yescharacteristic
1272C22×C4C23×D8911yescharacteristic
1273C22×C4C23×D8911yescharacteristic
1274C22×C4C23×D8911yescharacteristic
1275C22×C4C23×D8911yescharacteristic
1276C22×C4C23×D8911yescharacteristic
1277C22×C4C23×D8911yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—894no—
1283C4⋊C4—894no—
1284C4⋊C4—894no—
1285C4⋊C4—894no—
1286C4⋊C4—894no—
1287C4⋊C4—894no—
1288C4⋊C4—894no—
1289C4⋊C4—894no—
1290C4⋊C4—894no—
1291C4⋊C4—3561no—
1292C4⋊C4—3561no—
1293C4⋊C4—3561no—
1294C4⋊C4—3561no—
1295C4⋊C4—3561no—
1296C4⋊C4—3561no—
1297C4⋊C4—1782no—
1298C4⋊C4—1782no—
1299C4⋊C4—1782no—
1300C4⋊C4—1782no—
1301C4⋊C4—1782no—
1302C4⋊C4—1782no—
1303C4⋊C4C2×C4×D8914yes—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—894no—
1313C22⋊C4—894no—
1314C22⋊C4—894no—
1315C22⋊C4—894no—
1316C22⋊C4—894no—
1317C22⋊C4—894no—
1318C22⋊C4—894no—
1319C22⋊C4—894no—
1320C22⋊C4—3561no—
1321C22⋊C4—3561no—
1322C22⋊C4—3561no—
1323C22⋊C4—3561no—
1324C22⋊C4—3561no—
1325C22⋊C4—3561no—
1326C22⋊C4—3561no—
1327C22⋊C4—3561no—
1328C22⋊C4—3561no—
1329C22⋊C4—3561no—
1330C22⋊C4—3561no—
1331C22⋊C4—3561no—
1332C22⋊C4—1782no—
1333C22⋊C4—1782no—
1334C22⋊C4—1782no—
1335C22⋊C4—1782no—
1336C22⋊C4—1782no—
1337C22⋊C4—1782no—
1338C22⋊C4—1782no—
1339C22⋊C4—1782no—
1340C22⋊C4—1782no—
1341C22⋊C4—1782no—
1342C22⋊C4C2×C4×D8914yes—
1343C22⋊C4C2×C4×D8914yes—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—894no—
1351C42—894no—
1352C42—3561no—
1353C42—3561no—
1354C42—3561no—
1355C42—3561no—
1356C42—3561no—
1357C42—3561no—
1358C42—3561no—
1359C42—3561no—
1360C42—3561no—
1361C42—3561no—
1362C42—3561no—
1363C42—3561no—
1364C42—1782no—
1365C42—1782no—
1366C42—1782no—
1367C42—1782no—
1368C42—1782no—
1369C42—1782no—
1370C42—1782no—
1371C42—1782no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—892no—
1391C23—892no—
1392C23—1781no—
1393C23—1781no—
1394C23—1781no—
1395C23—1781no—
1396C23—1781no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1781no—
1401C23—1781no—
1402C23—1781no—
1403C23—1781no—
1404C23C22×C4×D8912yes—
1405C23C22×C4×D8912yes—
1406C23C22×C4×D8912yes—
1407C23C24×D8911yescharacteristic
1408D4—44no—
1409D4—44no—
1410D4—44no—
1411D4—3564no—
1412D4—3564no—
1413D4—3564no—
1414D4—3564no—
1415D4—3564no—
1416D4—1788no—
1417D4—1788no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—82no—
1450C2×C4—82no—
1451C2×C4—892no—
1452C2×C4—892no—
1453C2×C4—892no—
1454C2×C4—892no—
1455C2×C4—892no—
1456C2×C4—892no—
1457C2×C4—892no—
1458C2×C4—892no—
1459C2×C4—892no—
1460C2×C4—892no—
1461C2×C4—3564no—
1462C2×C4—3564no—
1463C2×C4—3564no—
1464C2×C4—3564no—
1465C2×C4—3564no—
1466C2×C4—1788no—
1467C2×C4—1781no—
1468C2×C4—1781no—
1469C2×C4—1781no—
1470C2×C4—1781no—
1471C2×C4—1781no—
1472C2×C4—1781no—
1473C2×C4—1781no—
1474C2×C4—1781no—
1475C2×C4—1781no—
1476C2×C4—1781no—
1477C2×C4—1781no—
1478C2×C4—1781no—
1479C2×C4—1781no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—7122no—
1500C2×C4—7122no—
1501C2×C4—7122no—
1502C2×C4—7122no—
1503C2×C4C22×C4×D8912yes—
1504C2×C4C22×C4×D8912yes—
1505C2×C4C22×C4×D8912yes—
1506C2×C4C22×C4×D8912yes—
1507C2×C4#41×D8912yes—
1508C2×C4#41×D8912yes—
1509C2×C4#1566805712yes—
1510C2×C4#1566805712yes—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—3561no—
1533C22—3561no—
1534C22—3561no—
1535C22—3561no—
1536C22—3561no—
1537C22—3561no—
1538C22—3561no—
1539C22—3561no—
1540C22—1782no—
1541C22—1782no—
1542C22—1782no—
1543C22—1782no—
1544C22—1782no—
1545C22—1782no—
1546C22C23×C4×D8911yescharacteristic
1547C22C2×#41×D8911yescharacteristic
1548C22C2×#41×D8911yescharacteristic
1549C22C2×#1566805711yescharacteristic
1550C22C2×#1566805711yescharacteristic
1551C22#1915243411yescharacteristic
1552C22#1915243411yescharacteristic
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—22no—
1559C4—22no—
1560C4—22no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—894no—
1566C4—3561no—
1567C4—3561no—
1568C4—3561no—
1569C4—3561no—
1570C4—3561no—
1571C4—3561no—
1572C4—1782no—
1573C4—1782no—
1574C4—1782no—
1575C4—1782no—
1576C4—1782no—
1577C4—1782no—
1578C4—1782no—
1579C2—42no—
1580C2—42no—
1581C2—42no—
1582C2—3562no—
1583C2—3562no—
1584C2C4×#41×D8911yescharacteristic
1585C2C4×#1566805711yescharacteristic
1586C2C4×#1566805711yescharacteristic
1587C2#2603417811yescharacteristic
1588C2#2603425011yescharacteristic
1589C2#2603427811yescharacteristic
1590C2#2603435711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC4×#121×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152198C2
hypercenterC4×#121D89
hypocenterC89#34287
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #26023385C2semidirect
3. #26023381C2semidirect
4. #26023351C2semidirect
5. #26023349C2semidirect
6. #26023315C2semidirect
7. #26023314C2semidirect
8. #26023301C2semidirect
9. #26023297C2semidirect
10. #26023293C2semidirect
11. #26023287C2semidirect
12. #26023287C2semidirect
13. #26023286C2semidirect
14. #26023269C2semidirect
15. #26023269C2semidirect
16. #26023239C2semidirect
17. #26023238C2semidirect
18. #26023044C2semidirect
19. #26023038C2semidirect
20. #26023019C2semidirect
21. #26023012C2semidirect
22. #26022894C2semidirect
23. #26022779C2semidirect
24. C4×#15667995C2semidirect
25. #26022764C2semidirect
26. #26022746C2semidirect
27. #26022712C2semidirect
28. #26022611C2semidirect
29. #26022607C2semidirect
30. C42×C22⋊D89C2semidirect
31. C4×#121×C89C2semidirect
32. #19152198C4semidirect
205. #15668008C2×C4semidirect
206. #15668002C2×C4semidirect
207. #15667997C2×C4semidirect
208. #15667995C2×C4semidirect
209. #15667994C2×C4semidirect
210. #15667993C2×C4semidirect
211. #15667985C2×C4semidirect
212. #15667984C2×C4semidirect
213. #15667984C2×C4semidirect
214. #15667984C2×C4semidirect
215. #15667983C2×C4semidirect
221. C4×C22⋊D89C2×C4semidirect
226. #15667972C2×C4semidirect
230. #15667968C2×C4semidirect
344. #121×C89C2×C4semidirect
821. C4×#121D89semidirect
827. C89#34287semidirect
1020. #121C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521982
#260233852
#260233812
#260233512
#260233492
#260233152
#260233142
#260233012
#260232972
#260232932
#260232872
#260232862
#260232692
#260232392
#260232382
#260230442
#260230382
#260230192
#260230122
#260228942
#260227792
C4×#156679952
#260227642
#260227462
#260227122
#260226112
#260226072
C42×C22⋊D892
C4×#121×C892
#3428789