Finite Group Databasebeta

← #36723237

Subgroups — #36723237

Order 22784.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152130C211yesmaximal, characteristic, complemented
2C22×#15667971C211yesmaximal, characteristic, complemented
3#26024512C211yesmaximal, characteristic, complemented
4#26024497C211yesmaximal, characteristic, complemented
5#26024482C211yesmaximal, characteristic, complemented
6#26024467C211yesmaximal, characteristic, complemented
7#26024452C211yesmaximal, characteristic, complemented
8#26024437C211yesmaximal, characteristic, complemented
9#26024422C211yesmaximal, characteristic, complemented
10#26024407C211yesmaximal, characteristic, complemented
11#26024392C211yesmaximal, characteristic, complemented
12#26024377C211yesmaximal, characteristic, complemented
13#26024362C211yesmaximal, characteristic, complemented
14#26024347C211yesmaximal, characteristic, complemented
15#26024059C211yesmaximal, characteristic, complemented
16#26023993C211yesmaximal, characteristic, complemented
17#26023784C211yesmaximal, characteristic
18#26023718C211yesmaximal, characteristic, complemented
19#26023526C211yesmaximal, characteristic, complemented
20#26023512C211yesmaximal, characteristic, complemented
21#26023511C211yesmaximal, characteristic, complemented
22#26023494C211yesmaximal, characteristic, complemented
23C4×#15667989C211yesmaximal, characteristic, complemented
24C4×#15667984C211yesmaximal, characteristic, complemented
25C4×#15667981C211yesmaximal, characteristic, complemented
26#26022748C211yesmaximal, characteristic, complemented
27#26022717C211yesmaximal, characteristic, complemented
28#26022698C211yesmaximal, characteristic, complemented
29#26022697C211yesmaximal, characteristic, complemented
30C4×#15667972C211yesmaximal, characteristic, complemented
31C4×#120×C89C211yesmaximal, characteristic, complemented
32#19152130—28no—
33C2×#15668005C2211yescharacteristic
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15668003C2211yescharacteristic, complemented
36C2×#15667999C2211yescharacteristic
37C2×#15667994C2211yescharacteristic
38C2×#15667994C2211yescharacteristic, complemented
39C2×#15667992C2211yescharacteristic, complemented
40C2×#15667989C2211yescharacteristic
41C2×#15667984C2211yescharacteristic
42C2×#15667983C2211yescharacteristic
43C2×#15667981C2211yescharacteristic
44C2×C4×Dic178C2211yescharacteristic, complemented
45C2×C4×C22⋊D89C2211yescharacteristic
46C2×C4×C22⋊D89C2211yescharacteristic
47C2×C4×C22⋊D89C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic, complemented
49C2×#15667972C2211yescharacteristic
50C2×#15667972C2211yescharacteristic
51C2×#15667971—28no—
52C2×#15667971C2211yescharacteristic
53C2×#15667971C2211yescharacteristic
54C2×#15667971C2211yescharacteristic
55C2×#15667971C2211yescharacteristic
56C2×#15667971C2211yescharacteristic
57C2×#15667971C2211yescharacteristic
58C2×#15667971C2211yescharacteristic
59C2×#15667971C2211yescharacteristic
60C2×#15667971C2211yescharacteristic, complemented
61C22×C4⋊Dic89C2211yescharacteristic
62C22×C4⋊Dic89C2211yescharacteristic
63C22×C22⋊Dic89C2211yescharacteristic
64C22×C22⋊Dic89C2211yescharacteristic
65C22×C4×Dic89C2211yescharacteristic
66C22×C4×Dic89C2211yescharacteristic
67C2×C42×D89C2211yescharacteristic, complemented
68#19151540C2211yescharacteristic, complemented
69#19151538C2211yescharacteristic, complemented
70#19151537C2211yescharacteristic, complemented
71#19151535C2211yescharacteristic, complemented
72#19151534C2211yescharacteristic
73#19151534C2211yescharacteristic, complemented
74#19151532C2211yescharacteristic, complemented
75#19151531C2211yescharacteristic, complemented
76#19151530C2211yescharacteristic, complemented
77#19151530C2211yescharacteristic, complemented
78#19151528C2211yescharacteristic, complemented
79#19151526C2211yescharacteristic
80#19151526C2211yescharacteristic
81#19151526C2211yescharacteristic
82#19151525C2211yescharacteristic, complemented
83#19151523C2211yescharacteristic
84#19151523C2211yescharacteristic
85#19151523C2211yescharacteristic, complemented
86#19151521C2211yescharacteristic
87#19151521C2211yescharacteristic
88#19151521C2211yescharacteristic, complemented
89#19151520C2211yescharacteristic, complemented
90#19151519C2211yescharacteristic, complemented
91#19151514C2211yescharacteristic
92#19151514C2211yescharacteristic
93#19151514C2211yescharacteristic, complemented
94#19151513C2211yescharacteristic
95#19151512C2211yescharacteristic
96#19151512C2211yescharacteristic
97#19151512C2211yescharacteristic
98#19151510C2211yescharacteristic
99#19151506C2211yescharacteristic
100#19151502C2211yescharacteristic, complemented
101#19151501C2211yescharacteristic
102#19151501C2211yescharacteristic
103#19151498C2211yescharacteristic, complemented
104#19151497C2211yescharacteristic, complemented
105#19151497C2211yescharacteristic, complemented
106#19151495C2211yescharacteristic, complemented
107#19151493C2211yescharacteristic, complemented
108#19151492C2211yescharacteristic
109#19151492C2211yescharacteristic
110#19151492C2211yescharacteristic
111#19151492C2211yescharacteristic
112#19151492C2211yescharacteristic, complemented
113#19151491C2211yescharacteristic
114#19151491C2211yescharacteristic
115#19151491C2211yescharacteristic, complemented
116#19151491C2211yescharacteristic, complemented
117#19151491C2211yescharacteristic, complemented
118#19151491C2211yescharacteristic, complemented
119#19151488C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic
121#19151486C2211yescharacteristic
122#19151485C2211yescharacteristic, complemented
123#19151485C2211yescharacteristic, complemented
124#19151485C2211yescharacteristic, complemented
125#19151484C2211yescharacteristic, complemented
126#19151484C2211yescharacteristic, complemented
127#19151483C2211yescharacteristic, complemented
128#19151483C2211yescharacteristic, complemented
129#19151481C2211yescharacteristic, complemented
130#19151481C2211yescharacteristic, complemented
131#19151481C2211yescharacteristic, complemented
132#19151478C2211yescharacteristic
133#19151478C2211yescharacteristic
134#19151478C2211yescharacteristic
135#19151477C2211yescharacteristic
136#19151477C2211yescharacteristic
137#19151477C2211yescharacteristic
138#19151475C2211yescharacteristic
139#19151474C2211yescharacteristic
140#19151474C2211yescharacteristic
141#19151473C2211yescharacteristic
142#19151473C2211yescharacteristic
143#19151473C2211yescharacteristic
144#19151472C2211yescharacteristic, complemented
145#19151472C2211yescharacteristic, complemented
146#19151471C2211yescharacteristic
147#19151471C2211yescharacteristic
148#19151471C2211yescharacteristic
149#19151470C2211yescharacteristic
150#19151456C2211yescharacteristic
151#19151456C2211yescharacteristic
152#19151454C2211yescharacteristic
153C4×#13083553C2211yescharacteristic, complemented
154C4×#13083553C2211yescharacteristic, complemented
155C4×#13083553C2211yescharacteristic, complemented
156C4×#13083553C2211yescharacteristic, complemented
157C4×C4⋊Dic89C2211yescharacteristic, complemented
158C4×C4⋊Dic89C2211yescharacteristic, complemented
159#19151449C2211yescharacteristic, complemented
160#19151449C2211yescharacteristic, complemented
161C22⋊C4×Dic89C2211yescharacteristic
162C22⋊C4×Dic89C2211yescharacteristic
163C4×#13083551C2211yescharacteristic, complemented
164C4×#13083551C2211yescharacteristic, complemented
165C4×C22⋊Dic89C2211yescharacteristic
166C4×C22⋊Dic89C2211yescharacteristic
167C4×C22⋊Dic89C2211yescharacteristic
168C4×C22⋊Dic89C2211yescharacteristic, complemented
169C4×C22⋊Dic89C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171#19151445C2211yescharacteristic, complemented
172#19151444C2211yescharacteristic, complemented
173C42×Dic89C2211yescharacteristic, complemented
174C24×C4×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176C2×C4×D4×C89C2211yescharacteristic
177C2×C4×D4×C89C2211yescharacteristic
178C2×C4×D4×C89C2211yescharacteristic
179#386×C89C2211yescharacteristic
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#379×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C4×C22⋊C4×C89C2211yescharacteristic
188C4×C22⋊C4×C89C2211yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C23×Dic89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C22×C4×D89C2311yescharacteristic
199C22×C4×D89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201#15668005—24no—
202#15668005—24no—
203#15668003—24no—
204#15667999—24no—
205#15667994—24no—
206#15667994—24no—
207#15667992—24no—
208#15667989—24no—
209#15667984—24no—
210#15667983—24no—
211#15667981—24no—
212C4×Dic178—24no—
213C4×C22⋊D89—24no—
214C4×C22⋊D89—24no—
215C4×C22⋊D89—24no—
216C4×C22⋊D89—24no—
217#15667972—24no—
218#15667972—24no—
219#15667971—24no—
220#15667971—24no—
221#15667971—24no—
222#15667971—24no—
223#15667971—24no—
224#15667971—24no—
225#15667971—24no—
226#15667971—24no—
227#15667971D418yescomplemented
228C2×C4⋊Dic89—24no—
229C2×C4⋊Dic89—24no—
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×C22⋊Dic89—24no—
260C2×C22⋊Dic89—24no—
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
277C2×C22⋊Dic89C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×C4×Dic89—24no—
294C2×C4×Dic89—24no—
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
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C42×D89—24no—
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
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343C25×C89C2311yescharacteristic
344C22×D4×C89C2311yescharacteristic
345C22×D4×C89C2311yescharacteristic
346C22×D4×C89C2311yescharacteristic
347C23×C4×C89—24no—
348C23×C4×C89—24no—
349C23×C4×C89—24no—
350C23×C4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353C23×C4×C89C2311yescharacteristic
354C23×C4×C89C2311yescharacteristic
355C23×C4×C89C2311yescharacteristic
356C23×C4×C89C2311yescharacteristic
357#120×C89—24no—
358C4×D4×C89—24no—
359C4×D4×C89—24no—
360C4×D4×C89—24no—
361C2×C4⋊C4×C89C2311yescharacteristic
362C2×C4⋊C4×C89C2311yescharacteristic
363C2×C4⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C42×C89C2311yescharacteristic
377C2×C42×C89C2311yescharacteristic
378C2×C42×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C23×D89C2411yescharacteristic
386C2×Dic178—22no—
387C2×Dic178—22no—
388C2×Dic178—41no—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—22no—
391C2×C22⋊D89—22no—
392C2×C22⋊D89—22no—
393C2×C22⋊D89—22no—
394C2×C22⋊D89—22no—
395C2×C22⋊D89—22no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89#4114yes—
401C22×Dic89—22no—
402C22×Dic89—22no—
403C22×Dic89—22no—
404C22×Dic89—22no—
405C22×Dic89—22no—
406C22×Dic89—22no—
407C22×Dic89—22no—
408C22×Dic89—22no—
409C22×Dic89—41no—
410C22×Dic89—41no—
411C22×Dic89—41no—
412C22×Dic89—41no—
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C2×C4×D89—22no—
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—22no—
432C2×C4×D89—22no—
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—41no—
436C2×C4×D89—41no—
437C4⋊Dic89—22no—
438C4⋊Dic89—22no—
439C4⋊Dic89—22no—
440C4⋊Dic89—22no—
441C4⋊Dic89—22no—
442C4⋊Dic89—22no—
443C4⋊Dic89—22no—
444C4⋊Dic89—22no—
445C4⋊Dic89—22no—
446C4⋊Dic89—22no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450C4⋊Dic89C2×D414yes—
451C4⋊Dic89C2×D414yes—
452#13083553—22no—
453#13083553—22no—
454#13083553—22no—
455#13083553—22no—
456#13083553—22no—
457#13083553—22no—
458#13083553—22no—
459#13083553—22no—
460#13083553—22no—
461#13083553—22no—
462#13083553—22no—
463#13083553—41no—
464#13083553—41no—
465#13083553—41no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—22no—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474C22⋊Dic89—22no—
475C22⋊Dic89—22no—
476C22⋊Dic89—22no—
477C22⋊Dic89—22no—
478C22⋊Dic89—22no—
479C22⋊Dic89—22no—
480C22⋊Dic89—22no—
481C22⋊Dic89—22no—
482C22⋊Dic89—22no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89C2×D414yes—
489C22⋊Dic89C2×D414yes—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—41no—
498C4×Dic89—22no—
499C4×Dic89—22no—
500C4×Dic89—22no—
501C4×Dic89—22no—
502C4×Dic89—22no—
503C4×Dic89—22no—
504C4×Dic89—22no—
505C4×Dic89—22no—
506C4×Dic89—22no—
507C4×Dic89—22no—
508C4×Dic89—22no—
509C4×Dic89—22no—
510C4×Dic89—22no—
511C4×Dic89—41no—
512C4×Dic89—41no—
513C4×Dic89C2×D414yes—
514C4×Dic89C2×D414yes—
515C24×C89—22no—
516C24×C89—22no—
517C24×C89—22no—
518C24×C89—22no—
519C24×C89—22no—
520C24×C89—41no—
521C24×C89—41no—
522C24×C89C2411yescharacteristic
523C24×C89C2411yescharacteristic
524C24×C89C2411yescharacteristic
525C24×C89C2411yescharacteristic
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—22no—
532C2×D4×C89—22no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C22×C4×C89—232no—
536C22×C4×C89—22no—
537C22×C4×C89—22no—
538C22×C4×C89—22no—
539C22×C4×C89—22no—
540C22×C4×C89—22no—
541C22×C4×C89—22no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—22no—
546C22×C4×C89—22no—
547C22×C4×C89—22no—
548C22×C4×C89—22no—
549C22×C4×C89—22no—
550C22×C4×C89—22no—
551C22×C4×C89—22no—
552C22×C4×C89—22no—
553C22×C4×C89—22no—
554C22×C4×C89C2×D414yes—
555C22×C4×C89#4114yes—
556C22×C4×C89#4114yes—
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C4⋊C4×C89—22no—
569C4⋊C4×C89—22no—
570C4⋊C4×C89—22no—
571C22⋊C4×C89—22no—
572C22⋊C4×C89—22no—
573C22⋊C4×C89—22no—
574C22⋊C4×C89—22no—
575C22⋊C4×C89—22no—
576C22⋊C4×C89—22no—
577C22⋊C4×C89—22no—
578C22⋊C4×C89—22no—
579C22⋊C4×C89—22no—
580C22⋊C4×C89—41no—
581C22⋊C4×C89—41no—
582C22⋊C4×C89#4114yes—
583C42×C89—22no—
584C42×C89—22no—
585C42×C89—22no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—28no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—44no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89C22×D412yes—
617C23×C89C2×#4112yes—
618C23×C89C2×#4112yes—
619C23×C89C2×#4112yes—
620C23×C89C2×#4112yes—
621C23×C89C2511yescharacteristic
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89C2×#4112yes—
629D4×C89—44no—
630D4×C89—44no—
631D4×C89—44no—
632C2×C4×C89—28no—
633C2×C4×C89—28no—
634C2×C4×C89—28no—
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—21no—
644C2×C4×C89—21no—
645C2×C4×C89—28no—
646C2×C4×C89—28no—
647C2×C4×C89—28no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—44no—
664C2×C4×C89C22×D412yes—
665C2×C4×C89C22×D412yes—
666C2×C4×C89C2×#4112yes—
667C2×C4×C89C2×#4112yes—
668C2×C4×C89C2×#4112yes—
669C2×C4×C89C2×#4112yes—
670C2×C4×C89C2×#4112yes—
671C2×C4×C89C2×#4112yes—
672C22⋊D89—28no—
673C22⋊D89—44no—
674C22⋊D89—44no—
675C22⋊D89—44no—
676C2×Dic89—21no—
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—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—44no—
717C2×Dic89—44no—
718C2×Dic89—44no—
719C2×Dic89—44no—
720C2×Dic89C22×D412yes—
721C2×Dic89C22×D412yes—
722C2×Dic89C22×D412yes—
723C2×Dic89C22×D412yes—
724C2×Dic89C2×#4112yes—
725C4×D89—44no—
726C4×D89—44no—
727C4×D89—44no—
728Dic178—44no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—22no—
737C22×C89—22no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—416no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89#52914yescomplemented
758C22×C89C23×D411yescharacteristic
759C22×C89C22×#4111yescharacteristic
760C22×C89C22×#4111yescharacteristic
761C22×C89C22×#4111yescharacteristic
762C22×C89C22×#4111yescharacteristic
763C22×C89#58511yescharacteristic
764C22×C89#58511yescharacteristic
765C2×D89—22no—
766C2×D89—22no—
767C2×D89—22no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C4×C89—22no—
773C4×C89—22no—
774C4×C89—22no—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89#52514yes—
783Dic89—22no—
784Dic89—22no—
785Dic89—22no—
786Dic89—22no—
787Dic89—22no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798#34740—891nomaximal, Sylow
799C2×C89—24no—
800C2×C89—42no—
801C2×C89—42no—
802C2×C89—81no—
803C2×C89C2×#52511yescharacteristic
804C2×C89C2×#52911yescharacteristic
805C2×C89#345511yescharacteristic
806C2×C89D4×#4111yescharacteristic
807C2×C89D4×#4111yescharacteristic
808C2×C89#347511yescharacteristic
809C2×C89#347511yescharacteristic
810D89—42no—
811C2×#529—891no—
812C22×#117—891no—
813#2481—891no—
814#2480—891no—
815#2479—891no—
816#2478—891no—
817#2477—891no—
818#2476—891no—
819#2475—891no—
820#2474—891no—
821#2473—891no—
822#2472—891no—
823#2471—891no—
824#2470—891no—
825#2449—891no—
826#2443—891no—
827#2424—891no—
828#2418—891no—
829#2396—891no—
830#2395—891no—
831#2395—891no—
832#2392—891no—
833C4×C22⋊Q8—891no—
834C4×#121—891no—
835C4×#120—891no—
836C4×#120D8911yescharacteristic, complemented
837#2298—891no—
838#2293—891no—
839#2290—891no—
840#2290—891no—
841C42×D4—891no—
842C89#3474011yescharacteristic, complemented, Sylow
843C24×C4C2×D8911yescharacteristic
844#529—1788no—
845C2×#126—891no—
846C2×#126—891no—
847C2×#125—891no—
848C2×#124—891no—
849C2×#123—891no—
850C2×#123—891no—
851C2×C22⋊Q8—891no—
852C2×C22⋊Q8—891no—
853C2×#121—891no—
854C2×#121—891no—
855C2×#120—891no—
856C2×#120C2×D8911yescharacteristic
857C2×C4×Q8—891no—
858C2×C4×D4—891no—
859C2×C4×D4—891no—
860C2×C4×D4—891no—
861C2×C4×D4—891no—
862C2×C4×D4—891no—
863C2×C4×D4—891no—
864C2×C4×D4C2×D8911yescharacteristic
865C2×C4×D4C2×D8911yescharacteristic
866C2×C4×D4C2×D8911yescharacteristic
867C2×#117—891no—
868C2×#117—891no—
869C2×#117—891no—
870C2×#117—891no—
871C2×#117—891no—
872C2×#117—891no—
873C2×#117—891no—
874C2×#117—891no—
875C2×#117—891no—
876C2×#117—1788no—
877C22×C4⋊C4—891no—
878C22×C4⋊C4—891no—
879C22×C22⋊C4—891no—
880C22×C22⋊C4—891no—
881C22×C42—891no—
882C22×C42—891no—
883C22×C42—891no—
884#400—891no—
885#400—891no—
886#400—891no—
887#399—891no—
888#399—891no—
889#399—891no—
890#398—891no—
891#398—891no—
892#398—891no—
893#398—891no—
894#398—891no—
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#396—891no—
903#396—891no—
904#396—891no—
905#396—891no—
906#395—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394—891no—
914#393—891no—
915#392—891no—
916#391—891no—
917#390—891no—
918#390—891no—
919#390—891no—
920#389—891no—
921#389—891no—
922#389—891no—
923#389—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387—891no—
945#387—891no—
946#387—891no—
947#387—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386C2×D8911yescharacteristic
958#386C2×D8911yescharacteristic
959#386C2×D8911yescharacteristic
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385C2×D8911yescharacteristic
970#385C2×D8911yescharacteristic
971#385C2×D8911yescharacteristic
972#380—891no—
973#380—891no—
974#379—891no—
975#379C2×D8911yescharacteristic
976C4×C4⋊C4—891no—
977C4×C4⋊C4—891no—
978C4×C4⋊C4—891no—
979C4×C4⋊C4—891no—
980C4×C4⋊C4—891no—
981C4×C4⋊C4—891no—
982C4×C4⋊C4—891no—
983C4×C4⋊C4—891no—
984C4×C22⋊C4—891no—
985C4×C22⋊C4—891no—
986C4×C22⋊C4—891no—
987C4×C22⋊C4—891no—
988C4×C22⋊C4—891no—
989C4×C22⋊C4—891no—
990C4×C22⋊C4—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4C2×D8911yescharacteristic
996C4×C22⋊C4C2×D8911yescharacteristic
997C4×C22⋊C4C2×D8911yescharacteristic
998#376—891no—
999C43—891no—
1000C25C22×D8911yescharacteristic
1001C22×Q8—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4C22×D8911yescharacteristic
1007C22×D4C22×D8911yescharacteristic
1008C22×D4C22×D8911yescharacteristic
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4—24no—
1012C23×C4—891no—
1013C23×C4—891no—
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4C22×D8911yescharacteristic
1020C23×C4C22×D8911yescharacteristic
1021C23×C4C22×D8911yescharacteristic
1022C23×C4C22×D8911yescharacteristic
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026#126—1784no—
1027#126—1784no—
1028#125—1784no—
1029#124—1784no—
1030#123—1784no—
1031#123—1784no—
1032C22⋊Q8—1784no—
1033C22⋊Q8—1784no—
1034#121—1784no—
1035#121—1784no—
1036#120—24no—
1037#120—1784no—
1038C4×Q8—1784no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—1784no—
1043C4×D4—1784no—
1044C4×D4—1784no—
1045C4×D4—1784no—
1046C4×D4—1784no—
1047C4×D4—1784no—
1048#117—898no—
1049#117—1784no—
1050#117—1784no—
1051#117—1784no—
1052#117—1784no—
1053#117—1784no—
1054#117—1784no—
1055#117—1784no—
1056#117—1784no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—1784no—
1087C2×C4⋊C4—1784no—
1088C2×C4⋊C4C22×D8911yescharacteristic
1089C2×C4⋊C4C22×D8911yescharacteristic
1090C2×C4⋊C4C22×D8911yescharacteristic
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—1784no—
1124C2×C22⋊C4—1784no—
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—891no—
1147C2×C42—891no—
1148C2×C42—891no—
1149C2×C42—891no—
1150C2×C42—891no—
1151C2×C42—891no—
1152C2×C42—891no—
1153C2×C42—891no—
1154C2×C42—1784no—
1155C2×C42—1784no—
1156C2×C42—1784no—
1157C2×C42C22×D8911yescharacteristic
1158C2×C42C22×D8911yescharacteristic
1159C2×C42C22×D8911yescharacteristic
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95C22×D8911yescharacteristic
1191#95C22×D8911yescharacteristic
1192#95C22×D8911yescharacteristic
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—891no—
1204C24C23×D8911yescharacteristic
1205C24C23×D8911yescharacteristic
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—3561no—
1209C2×Q8—1782no—
1210C2×Q8—1782no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—894no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C22×C4—232no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—891no—
1265C22×C4—891no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4D4×D8914yes—
1288C22×C4#1308357314yes—
1289C22×C4#1308357314yes—
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—894no—
1305C4⋊C4—894no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—1782no—
1313C4⋊C4—1782no—
1314C4⋊C4—1782no—
1315C4⋊C4—1782no—
1316C4⋊C4—1782no—
1317C4⋊C4—1782no—
1318C4⋊C4—1782no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C4⋊C4—1782no—
1322C4⋊C4—1782no—
1323C4⋊C4—1782no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C4⋊C4—1782no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—894no—
1345C22⋊C4—894no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—1782no—
1353C22⋊C4—1782no—
1354C22⋊C4—1782no—
1355C22⋊C4—1782no—
1356C22⋊C4—1782no—
1357C22⋊C4—1782no—
1358C22⋊C4—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4#1308357414yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—894no—
1381C42—894no—
1382C42—3561no—
1383C42—3561no—
1384C42—1782no—
1385C42—1782no—
1386C42—1782no—
1387C42—1782no—
1388C42—1782no—
1389C42—1782no—
1390C42—1782no—
1391C42—1782no—
1392C42—1782no—
1393C42—1782no—
1394C42—1782no—
1395C42—1782no—
1396C42—1782no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—892no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23C2×D4×D8912yes—
1435C23#41×D8912yes—
1436C23C2×#1308357312yes—
1437C23C2×#1308357312yes—
1438C23C2×#1308357412yes—
1439C23C24×D8911yescharacteristic
1440Q8—3564no—
1441D4—44no—
1442D4—44no—
1443D4—44no—
1444D4—3564no—
1445D4—3564no—
1446D4—3564no—
1447D4—1788no—
1448C2×C4—28no—
1449C2×C4—28no—
1450C2×C4—28no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—28no—
1462C2×C4—28no—
1463C2×C4—28no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—892no—
1481C2×C4—892no—
1482C2×C4—892no—
1483C2×C4—892no—
1484C2×C4—892no—
1485C2×C4—3564no—
1486C2×C4—3564no—
1487C2×C4—3564no—
1488C2×C4—3564no—
1489C2×C4—3564no—
1490C2×C4—3564no—
1491C2×C4—3564no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4C2×D4×D8912yes—
1533C2×C4C2×D4×D8912yes—
1534C2×C4C2×#1308357312yes—
1535C2×C4C2×#1308357312yes—
1536C2×C4C2×#1308357312yes—
1537C2×C4C2×#1308357312yes—
1538C2×C4C2×#1308357412yes—
1539C2×C4C2×#1308357412yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—416no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22#1915213014yescomplemented
1576C22C22×D4×D8911yescharacteristic
1577C22C2×#41×D8911yescharacteristic
1578C22C22×#1308357311yescharacteristic
1579C22C22×#1308357311yescharacteristic
1580C22C22×#1308357411yescharacteristic
1581C22#1915243411yescharacteristic
1582C22#1915243411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—3561no—
1594C4—3561no—
1595C4—3561no—
1596C4—3561no—
1597C4—3561no—
1598C4—3561no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—1782no—
1604C4—1782no—
1605C4—1782no—
1606C4—1782no—
1607C4—1782no—
1608C4#1915210414yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—81no—
1613C2—3562no—
1614C2C2×#1915210411yescharacteristic
1615C2C2×#1915213011yescharacteristic
1616C2#2603364011yescharacteristic
1617C2#2603373511yescharacteristic
1618C2D4×#1308357411yescharacteristic
1619C2#2603381011yescharacteristic
1620C2#2603381211yescharacteristic
subgroupG/H
centerC22×C4C23×D89
commutator, socle, cosocleC23×C89C25
FrattiniC23C24×D89
FittingC4×#120×C89C2
prime radical#26023784C2
hypercenterC4×#120D89
hypocenterC89#34740
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C2×#19152130C2semidirect
2. C22×#15667971C2semidirect
3. #26024512C2semidirect
4. #26024497C2semidirect
5. #26024482C2semidirect
6. #26024467C2semidirect
7. #26024452C2semidirect
8. #26024437C2semidirect
9. #26024422C2semidirect
10. #26024407C2semidirect
11. #26024392C2semidirect
12. #26024377C2semidirect
13. #26024362C2semidirect
14. #26024347C2semidirect
15. #26024059C2semidirect
16. #26023993C2semidirect
18. #26023718C2semidirect
19. #26023526C2semidirect
20. #26023512C2semidirect
21. #26023511C2semidirect
22. #26023494C2semidirect
23. C4×#15667989C2semidirect
24. C4×#15667984C2semidirect
25. C4×#15667981C2semidirect
26. #26022748C2semidirect
27. #26022717C2semidirect
28. #26022698C2semidirect
29. #26022697C2semidirect
30. C4×#15667972C2semidirect
31. C4×#120×C89C2semidirect
34. C2×#15668005C22semidirect
35. C2×#15668003C22semidirect
38. C2×#15667994C22semidirect
39. C2×#15667992C22semidirect
44. C2×C4×Dic178C22semidirect
48. C2×C4×C22⋊D89C22semidirect
60. C2×#15667971C22semidirect
67. C2×C42×D89C22semidirect
68. #19151540C22semidirect
69. #19151538C22semidirect
70. #19151537C22semidirect
71. #19151535C22semidirect
73. #19151534C22semidirect
74. #19151532C22semidirect
75. #19151531C22semidirect
76. #19151530C22semidirect
77. #19151530C22semidirect
78. #19151528C22semidirect
82. #19151525C22semidirect
85. #19151523C22semidirect
88. #19151521C22semidirect
89. #19151520C22semidirect
90. #19151519C22semidirect
93. #19151514C22semidirect
100. #19151502C22semidirect
103. #19151498C22semidirect
104. #19151497C22semidirect
105. #19151497C22semidirect
106. #19151495C22semidirect
107. #19151493C22semidirect
112. #19151492C22semidirect
115. #19151491C22semidirect
116. #19151491C22semidirect
117. #19151491C22semidirect
118. #19151491C22semidirect
119. #19151488C22semidirect
122. #19151485C22semidirect
123. #19151485C22semidirect
124. #19151485C22semidirect
125. #19151484C22semidirect
126. #19151484C22semidirect
127. #19151483C22semidirect
128. #19151483C22semidirect
129. #19151481C22semidirect
130. #19151481C22semidirect
131. #19151481C22semidirect
144. #19151472C22semidirect
145. #19151472C22semidirect
153. C4×#13083553C22semidirect
154. C4×#13083553C22semidirect
155. C4×#13083553C22semidirect
156. C4×#13083553C22semidirect
157. C4×C4⋊Dic89C22semidirect
158. C4×C4⋊Dic89C22semidirect
159. #19151449C22semidirect
160. #19151449C22semidirect
163. C4×#13083551C22semidirect
164. C4×#13083551C22semidirect
168. C4×C22⋊Dic89C22semidirect
169. C4×C22⋊Dic89C22semidirect
170. #19151445C22semidirect
171. #19151445C22semidirect
172. #19151444C22semidirect
173. C42×Dic89C22semidirect
227. #15667971D4semidirect
757. C22×C89#529semidirect
836. C4×#120D89semidirect
842. C89#34740semidirect
1575. C22#19152130semidirect

Maximal subgroups

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

subgroupindex
C2×#191521302
C22×#156679712
#260245122
#260244972
#260244822
#260244672
#260244522
#260244372
#260244222
#260244072
#260243922
#260243772
#260243622
#260243472
#260240592
#260239932
#260237842
#260237182
#260235262
#260235122
#260235112
#260234942
C4×#156679892
C4×#156679842
C4×#156679812
#260227482
#260227172
#260226982
#260226972
C4×#156679722
C4×#120×C892
#3474089