Finite Group Databasebeta

← #36726588

Subgroups — #36726588

Order 22784.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26025802C211yesmaximal, characteristic, complemented
2#26025775C211yesmaximal, characteristic, complemented
3#26025710C211yesmaximal, characteristic, complemented
4#26025667C211yesmaximal, characteristic, complemented
5#26025583C211yesmaximal, characteristic, complemented
6#26025556C211yesmaximal, characteristic, complemented
7#26025386C211yesmaximal, characteristic, complemented
8#26024805C211yesmaximal, characteristic, complemented
9#26024750C211yesmaximal, characteristic, complemented
10#26024499C211yesmaximal, characteristic, complemented
11#26024374C211yesmaximal, characteristic, complemented
12#26024069C211yesmaximal, characteristic, complemented
13#26023999C211yesmaximal, characteristic, complemented
14#26023791C211yesmaximal, characteristic
15#26023711C211yesmaximal, characteristic, complemented
16#26023549C211yesmaximal, characteristic, complemented
17#26023534C211yesmaximal, characteristic, complemented
18#26023510C211yesmaximal, characteristic, complemented
19#26023487C211yesmaximal, characteristic, complemented
20#26022802C211yesmaximal, characteristic, complemented
21#124×Dic89C211yesmaximal, characteristic, complemented
22#26022790C211yesmaximal, characteristic, complemented
23#123×Dic89C211yesmaximal, characteristic, complemented
24#26022768C211yesmaximal, characteristic, complemented
25#26022762C211yesmaximal, characteristic, complemented
26#26022757C211yesmaximal, characteristic, complemented
27#26022757C211yesmaximal, characteristic, complemented
28#26022694C211yesmaximal, characteristic, complemented
29C4×#15667972C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D89C211yesmaximal, characteristic, complemented
31C89×#2557C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C2×#15668007C2211yescharacteristic
34C2×#15667988C2211yescharacteristic
35C2×#15667984C2211yescharacteristic
36C2×#15667983C2211yescharacteristic
37C2×#15667980C2211yescharacteristic
38C2×#15667980C2211yescharacteristic
39C2×Q8×Dic89C2211yescharacteristic, complemented
40C2×D4×Dic89C2211yescharacteristic
41C2×D4×Dic89C2211yescharacteristic
42C2×D4×Dic89C2211yescharacteristic, complemented
43C2×C4×C22⋊D89C2211yescharacteristic
44C2×#15667972C2211yescharacteristic
45C2×#15667972C2211yescharacteristic
46C2×#15667972C2211yescharacteristic
47C2×#15667972C2211yescharacteristic
48C2×#15667972C2211yescharacteristic
49C2×#15667968C2211yescharacteristic, complemented
50C2×C22⋊C4×D89C2211yescharacteristic
51C2×C22⋊C4×D89C2211yescharacteristic
52C22×C4×Dic89C2211yescharacteristic, complemented
53C2×C42×D89C2211yescharacteristic
54C2×C42×D89C2211yescharacteristic
55C89⋊#401C2211yescharacteristic, complemented
56#19151540C2211yescharacteristic, complemented
57#19151540C2211yescharacteristic, complemented
58#19151540C2211yescharacteristic, complemented
59#19151539C2211yescharacteristic, complemented
60#19151539C2211yescharacteristic, complemented
61#19151536C2211yescharacteristic, complemented
62#19151533C2211yescharacteristic
63#19151532C2211yescharacteristic, complemented
64#19151530C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic
66#19151526C2211yescharacteristic
67#19151526C2211yescharacteristic
68#19151526C2211yescharacteristic, complemented
69#19151525C2211yescharacteristic
70#19151523C2211yescharacteristic, complemented
71#19151523C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic
73#19151521C2211yescharacteristic
74#19151521C2211yescharacteristic, complemented
75#19151514C2211yescharacteristic
76#19151514C2211yescharacteristic
77#19151514C2211yescharacteristic
78#19151513C2211yescharacteristic
79#19151512C2211yescharacteristic
80#19151512C2211yescharacteristic
81#19151512C2211yescharacteristic, complemented
82#19151509C2211yescharacteristic
83#19151505C2211yescharacteristic, complemented
84#19151501C2211yescharacteristic
85#19151498C2211yescharacteristic
86#19151496C2211yescharacteristic, complemented
87#19151496C2211yescharacteristic, complemented
88#19151495C2211yescharacteristic, complemented
89#19151492C2211yescharacteristic, complemented
90#19151492C2211yescharacteristic, complemented
91#19151491C2211yescharacteristic
92#19151491C2211yescharacteristic
93#19151491C2211yescharacteristic
94#19151491C2211yescharacteristic
95#19151491C2211yescharacteristic, complemented
96#19151491C2211yescharacteristic, complemented
97#19151491C2211yescharacteristic, complemented
98#19151490C2211yescharacteristic
99#19151490C2211yescharacteristic
100#19151489C2211yescharacteristic
101#19151488C2211yescharacteristic
102#19151486C2211yescharacteristic, complemented
103#19151485C2211yescharacteristic, complemented
104#19151485C2211yescharacteristic, complemented
105#19151485C2211yescharacteristic, complemented
106#19151484C2211yescharacteristic, complemented
107#19151484C2211yescharacteristic, complemented
108#19151483C2211yescharacteristic, complemented
109#19151482C2211yescharacteristic, complemented
110#19151480C2211yescharacteristic, complemented
111#19151478C2211yescharacteristic
112#19151477C2211yescharacteristic
113#19151474C2211yescharacteristic
114#19151474C2211yescharacteristic
115#19151474C2211yescharacteristic
116#19151474C2211yescharacteristic
117#19151474C2211yescharacteristic
118#19151474C2211yescharacteristic
119#19151474C2211yescharacteristic
120#19151474C2211yescharacteristic
121#19151473C2211yescharacteristic, complemented
122#19151472C2211yescharacteristic
123#19151472C2211yescharacteristic
124#19151472C2211yescharacteristic
125#19151472C2211yescharacteristic
126#19151472C2211yescharacteristic
127#19151472C2211yescharacteristic
128#19151472C2211yescharacteristic
129#19151471C2211yescharacteristic
130#19151471C2211yescharacteristic
131#19151469C2211yescharacteristic
132#19151465C2211yescharacteristic, complemented
133#19151464C2211yescharacteristic, complemented
134#19151461C2211yescharacteristic, complemented
135#19151456C2211yescharacteristic, complemented
136#19151455C2211yescharacteristic
137#19151455C2211yescharacteristic
138#19151453C2211yescharacteristic
139#19151453C2211yescharacteristic
140C4⋊C4×Dic89C2211yescharacteristic, complemented
141C4⋊C4×Dic89C2211yescharacteristic, complemented
142C4⋊C4×Dic89C2211yescharacteristic, complemented
143C4×#13083553C2211yescharacteristic, complemented
144#19151449C2211yescharacteristic, complemented
145#19151449C2211yescharacteristic, complemented
146#19151449C2211yescharacteristic, complemented
147#19151449C2211yescharacteristic, complemented
148C22⋊C4×Dic89C2211yescharacteristic
149C22⋊C4×Dic89C2211yescharacteristic
150C22⋊C4×Dic89C2211yescharacteristic
151C22⋊C4×Dic89C2211yescharacteristic
152C22⋊C4×Dic89C2211yescharacteristic, complemented
153C22⋊C4×Dic89C2211yescharacteristic, complemented
154C22⋊C4×Dic89C2211yescharacteristic, complemented
155C22⋊C4×Dic89C2211yescharacteristic, complemented
156C22⋊C4×Dic89C2211yescharacteristic, complemented
157C4×#13083551C2211yescharacteristic
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic
160C4×C22⋊Dic89C2211yescharacteristic
161#19151445C2211yescharacteristic
162#19151445C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic
168#19151443C2211yescharacteristic, complemented
169#95×D89C2211yescharacteristic
170#95×D89C2211yescharacteristic
171C42×Dic89C2211yescharacteristic, complemented
172C2×#124×C89C2211yescharacteristic
173C2×#123×C89C2211yescharacteristic
174#397×C89C2211yescharacteristic
175#397×C89C2211yescharacteristic, complemented
176#393×C89C2211yescharacteristic, complemented
177#392×C89C2211yescharacteristic
178#391×C89C2211yescharacteristic, complemented
179#390×C89C2211yescharacteristic, complemented
180#388×C89C2211yescharacteristic, complemented
181#387×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic, complemented
185C4×C22⋊C4×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C22×C22⋊D89C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C23×Dic89C2311yescharacteristic
193C23×Dic89C2311yescharacteristic
194C23×Dic89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C22×C4×D89—24no—
197C22×C4×D89—42no—
198C22×C4×D89—42no—
199C22×C4×D89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207#15668007—24no—
208#15667988—24no—
209#15667984—24no—
210#15667983—24no—
211#15667980—24no—
212#15667980—24no—
213Q8×Dic89—42no—
214D4×Dic89—42no—
215D4×Dic89—42no—
216D4×Dic89—42no—
217C4×C22⋊D89—24no—
218#15667972—24no—
219#15667972—24no—
220#15667972—24no—
221#15667972—42no—
222#15667972—42no—
223#15667968—42no—
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C22⋊C4×D89—24no—
277C22⋊C4×D89—24no—
278C2×C4×Dic89—42no—
279C2×C4×Dic89C2311yescharacteristic
280C2×C4×Dic89C2311yescharacteristic
281C2×C4×Dic89C2311yescharacteristic
282C2×C4×Dic89C2311yescharacteristic
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
296C42×D89—42no—
297C42×D89—42no—
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
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
332C22×Q8×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338#124×C89—24no—
339#123×C89—24no—
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C22⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C42×C89C2311yescharacteristic
357C2×C42×C89C2311yescharacteristic
358C2×C42×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89#4114yes—
390C22×Dic89—22no—
391C22×Dic89—22no—
392C22×Dic89—22no—
393C22×Dic89—22no—
394C22×Dic89—22no—
395C22×Dic89—22no—
396C22×Dic89—22no—
397C22×Dic89—22no—
398C22×Dic89—22no—
399C22×Dic89—22no—
400C22×Dic89—22no—
401C22×Dic89—41no—
402C22×Dic89C2411yescharacteristic
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C2×C4×D89—22no—
417C2×C4×D89—22no—
418C2×C4×D89—22no—
419C2×C4×D89—22no—
420C2×C4×D89—22no—
421C2×C4×D89—22no—
422C2×C4×D89—22no—
423C2×C4×D89—22no—
424C2×C4×D89—22no—
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—416no—
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#4114yes—
441C4⋊Dic89—22no—
442C4⋊Dic89—22no—
443C4⋊Dic89—22no—
444C4⋊Dic89—41no—
445C4⋊Dic89—41no—
446C4⋊Dic89—41no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450#13083553—22no—
451#13083553—22no—
452#13083553—22no—
453#13083553—22no—
454#13083553—22no—
455#13083553—22no—
456#13083553—22no—
457#13083553—22no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462C22⋊Dic89—22no—
463C22⋊Dic89—22no—
464C22⋊Dic89—22no—
465C22⋊Dic89—22no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—22no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477#13083551—22no—
478#13083551—22no—
479#13083551—22no—
480#13083551—22no—
481#13083551—22no—
482#13083551—22no—
483#13083551—22no—
484#13083551—22no—
485#13083551—22no—
486#13083551—22no—
487#13083551—22no—
488#13083551—22no—
489#13083551—41no—
490#13083551—41no—
491#13083551#4114yes—
492#13083551#4114yes—
493C4×Dic89—22no—
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—22no—
503C4×Dic89—22no—
504C4×Dic89—22no—
505C4×Dic89—22no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C24×C89C2411yescharacteristic
511C24×C89C2411yescharacteristic
512C24×C89C2411yescharacteristic
513C2×Q8×C89—22no—
514C2×Q8×C89—22no—
515C2×Q8×C89—41no—
516C2×D4×C89—22no—
517C2×D4×C89—22no—
518C2×D4×C89—22no—
519C2×D4×C89—22no—
520C2×D4×C89—22no—
521C2×D4×C89—22no—
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89—41no—
525C22×C4×C89—22no—
526C22×C4×C89—22no—
527C22×C4×C89—22no—
528C22×C4×C89—41no—
529C22×C4×C89—41no—
530C22×C4×C89—41no—
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537C22×C4×C89C2411yescharacteristic
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C4⋊C4×C89—22no—
544C4⋊C4×C89—22no—
545C4⋊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×C89—22no—
555C22⋊C4×C89—41no—
556C22⋊C4×C89—41no—
557C22⋊C4×C89—41no—
558C22⋊C4×C89#4114yes—
559C42×C89—22no—
560C42×C89—41no—
561C42×C89—41no—
562C23×C89—21no—
563C23×C89—21no—
564C23×C89—21no—
565C23×C89—21no—
566C23×C89—21no—
567C23×C89—21no—
568C23×C89—21no—
569C23×C89—21no—
570C23×C89—21no—
571C23×C89—21no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89C2×#4112yes—
582C23×C89C2×#4112yes—
583C23×C89C2511yescharacteristic
584C22×D89—21no—
585C22×D89—21no—
586C22×D89—21no—
587C22×D89—21no—
588C22×D89—28no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—21no—
592C22×D89—21no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—44no—
596C22×D89—44no—
597C22×D89—44no—
598C22×D89—44no—
599C22×D89—44no—
600C22×D89—44no—
601C22×D89C2×#4112yes—
602C22×D89C2×#4112yes—
603C22×D89C2×#4112yes—
604C22×D89C2×#4112yes—
605Q8×C89—44no—
606D4×C89—44no—
607D4×C89—44no—
608D4×C89—44no—
609C2×C4×C89—21no—
610C2×C4×C89—21no—
611C2×C4×C89—21no—
612C2×C4×C89—21no—
613C2×C4×C89—21no—
614C2×C4×C89—21no—
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—44no—
641C2×C4×C89—44no—
642C2×C4×C89C2×#4112yes—
643C2×C4×C89C2×#4112yes—
644C2×C4×C89C2×#4112yes—
645C2×C4×C89C2×#4112yes—
646C2×C4×C89C2×#4112yes—
647C22⋊D89—28no—
648C22⋊D89—44no—
649C22⋊D89—44no—
650C22⋊D89—44no—
651C2×Dic89—21no—
652C2×Dic89—21no—
653C2×Dic89—21no—
654C2×Dic89—21no—
655C2×Dic89—21no—
656C2×Dic89—21no—
657C2×Dic89—21no—
658C2×Dic89—21no—
659C2×Dic89—21no—
660C2×Dic89—21no—
661C2×Dic89—21no—
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—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—44no—
688C2×Dic89—44no—
689C2×Dic89—44no—
690C2×Dic89—44no—
691C2×Dic89C2×#4112yes—
692C2×Dic89C2×#4112yes—
693C2×Dic89C2×#4112yes—
694C2×Dic89C2×#4112yes—
695C2×Dic89H(5,𝔽2)12yes—
696C2×Dic89H(5,𝔽2)12yes—
697C4×D89—28no—
698C4×D89—44no—
699C4×D89—44no—
700C4×D89—44no—
701C4×D89—44no—
702C4×D89—44no—
703C4×D89—44no—
704C4×D89—44no—
705C22×C89—22no—
706C22×C89—22no—
707C22×C89—22no—
708C22×C89—22no—
709C22×C89—22no—
710C22×C89—22no—
711C22×C89—41no—
712C22×C89—41no—
713C22×C89—41no—
714C22×C89—41no—
715C22×C89—41no—
716C22×C89—41no—
717C22×C89—41no—
718C22×C89—41no—
719C22×C89—41no—
720C22×C89—41no—
721C22×C89—41no—
722C22×C89—41no—
723C22×C89—41no—
724C22×C89—41no—
725C22×C89—41no—
726C22×C89C22×#4111yescharacteristic
727C22×C89C22×#4111yescharacteristic
728C22×C89C22×#4111yescharacteristic
729C22×C89C22×#4111yescharacteristic
730C22×C89C22×#4111yescharacteristic
731C22×C89C2×H(5,𝔽2)11yescharacteristic
732C22×C89C2×H(5,𝔽2)11yescharacteristic
733C2×D89—22no—
734C2×D89—22no—
735C2×D89—22no—
736C2×D89—22no—
737C2×D89—22no—
738C2×D89—22no—
739C2×D89—22no—
740C2×D89—22no—
741C2×D89—22no—
742C2×D89—416no—
743C2×D89—41no—
744C2×D89—41no—
745C2×D89—41no—
746C2×D89—41no—
747C2×D89#52914yes—
748C4×C89—22no—
749C4×C89—22no—
750C4×C89—22no—
751C4×C89—22no—
752C4×C89—22no—
753C4×C89—41no—
754C4×C89—41no—
755C4×C89—41no—
756C4×C89—41no—
757C4×C89—41no—
758C4×C89—41no—
759C4×C89—41no—
760Dic89—22no—
761Dic89—22no—
762Dic89—22no—
763Dic89—41no—
764Dic89—41no—
765Dic89—41no—
766Dic89—41no—
767Dic89—41no—
768Dic89—41no—
769Dic89—41no—
770Dic89—41no—
771Dic89—41no—
772Dic89—41no—
773Dic89#53814yes—
774#34959—891nomaximal, Sylow
775C2×C89—42no—
776C2×C89—42no—
777C2×C89—81no—
778C2×C89C2×#52911yescharacteristic
779C2×C89#344411yescharacteristic
780C2×C89C2×#53811yescharacteristic
781C2×C89#348111yescharacteristic
782C2×C89#348111yescharacteristic
783C2×C89#348111yescharacteristic
784C2×C89#348111yescharacteristic
785D89—24no—
786D89—42no—
787#2597—891no—
788#2595—891no—
789#2589—891no—
790#2587—891no—
791#2578—891no—
792#2576—891no—
793#2559—891no—
794#2557D8911yescharacteristic, complemented
795#2510—891no—
796#2505—891no—
797#2480—891no—
798#2472—891no—
799#2450—891no—
800#2444—891no—
801#2424—891no—
802#2418—891no—
803#2401—891no—
804#2398—891no—
805#2395—891no—
806#2392—891no—
807C4×#126—891no—
808C4×#124—891no—
809C4×C22⋊Q8—891no—
810C4×#123—891no—
811C4×#121—891no—
812C4×#121—891no—
813C4×#120—891no—
814C4×#120—891no—
815#2290—891no—
816C42×D4—891no—
817C2×C4×C22⋊C4—891no—
818C89#3495911yescharacteristic, complemented, Sylow
819C24×C4—891no—
820C2×#126—891no—
821C2×#124C2×D8911yescharacteristic
822C2×#123C2×D8911yescharacteristic
823C2×C22⋊Q8—891no—
824C2×#121—891no—
825C2×#121—891no—
826C2×#120—891no—
827C2×#120—891no—
828C2×C4×Q8—891no—
829C2×C4×D4—891no—
830C2×C4×D4—891no—
831C2×C4×D4—891no—
832C2×C4×D4—891no—
833C2×C4×D4—891no—
834C2×C4×D4—891no—
835C2×C4×D4—891no—
836C2×C4×D4—891no—
837C2×C4×D4—891no—
838C2×#117—891no—
839C22×C22⋊C4—891no—
840C22×C22⋊C4—891no—
841C22×C42—891no—
842C22×C42—891no—
843C22×C42—891no—
844#401—891no—
845#400—891no—
846#400—891no—
847#400—891no—
848#400—891no—
849#400—891no—
850#400—891no—
851#399—891no—
852#398—891no—
853#398—891no—
854#397—891no—
855#397—891no—
856#397—891no—
857#397—891no—
858#397—891no—
859#397—891no—
860#397—891no—
861#397C2×D8911yescharacteristic
862#397C2×D8911yescharacteristic, complemented
863#396—891no—
864#396—891no—
865#396—891no—
866#394—891no—
867#394—891no—
868#394—891no—
869#394—891no—
870#394—891no—
871#394—891no—
872#394—891no—
873#393—891no—
874#393C2×D8911yescharacteristic, complemented
875#392C2×D8911yescharacteristic
876#391—891no—
877#391C2×D8911yescharacteristic, complemented
878#390—891no—
879#390—891no—
880#390C2×D8911yescharacteristic, complemented
881#389—891no—
882#389—891no—
883#389—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#388C2×D8911yescharacteristic, complemented
899#387—891no—
900#387—891no—
901#387—891no—
902#387—891no—
903#387—891no—
904#387—891no—
905#387—891no—
906#387—891no—
907#387C2×D8911yescharacteristic, complemented
908#386—891no—
909#386—891no—
910#386—891no—
911#386—891no—
912#386—891no—
913#386—891no—
914#386—891no—
915#386—891no—
916#386—891no—
917#386—891no—
918#386C2×D8911yescharacteristic
919#386C2×D8911yescharacteristic
920#386C2×D8911yescharacteristic, complemented
921#385—891no—
922#385—891no—
923#385—891no—
924#385—891no—
925#385—891no—
926#385—891no—
927#385—891no—
928#385—891no—
929#385—891no—
930#385—891no—
931#385—891no—
932#383—891no—
933#382—891no—
934#381—891no—
935#380—891no—
936#380—891no—
937#380—891no—
938#379—891no—
939#379—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×C22⋊C4—891no—
949C4×C22⋊C4—891no—
950C4×C22⋊C4—891no—
951C4×C22⋊C4—891no—
952C4×C22⋊C4—891no—
953C4×C22⋊C4—891no—
954C4×C22⋊C4—891no—
955C4×C22⋊C4—891no—
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⋊C4C2×D8911yescharacteristic
969C4×C22⋊C4C2×D8911yescharacteristic, complemented
970#376—891no—
971C2×#95—891no—
972C2×#95—891no—
973C43—891no—
974C25—891no—
975C22×Q8C22×D8911yescharacteristic
976C22×D4—891no—
977C22×D4—891no—
978C22×D4—891no—
979C22×D4—891no—
980C22×D4C22×D8911yescharacteristic
981C22×D4C22×D8911yescharacteristic
982C22×D4C22×D8911yescharacteristic
983C23×C4—891no—
984C23×C4—891no—
985C23×C4—891no—
986C23×C4—891no—
987C23×C4—891no—
988C23×C4—891no—
989C23×C4—891no—
990C23×C4—891no—
991C23×C4—891no—
992C23×C4—891no—
993C23×C4—891no—
994C23×C4—891no—
995C23×C4—3562no—
996C23×C4—3562no—
997C23×C4—1784no—
998C23×C4C22×D8911yescharacteristic
999C23×C4C22×D8911yescharacteristic
1000#126—1784no—
1001#124—24no—
1002#123—24no—
1003C22⋊Q8—1784no—
1004#121—1784no—
1005#121—1784no—
1006#120—1784no—
1007#120—1784no—
1008C4×Q8—3562no—
1009C4×D4—3562no—
1010C4×D4—3562no—
1011C4×D4—3562no—
1012C4×D4—3562no—
1013C4×D4—3562no—
1014C4×D4—1784no—
1015C4×D4—1784no—
1016C4×D4—1784no—
1017C4×D4—1784no—
1018#117—3562no—
1019C2×C4⋊C4—891no—
1020C2×C4⋊C4—891no—
1021C2×C4⋊C4—891no—
1022C2×C4⋊C4—891no—
1023C2×C4⋊C4—891no—
1024C2×C4⋊C4—891no—
1025C2×C4⋊C4—891no—
1026C2×C4⋊C4—891no—
1027C2×C4⋊C4—891no—
1028C2×C4⋊C4—891no—
1029C2×C4⋊C4—891no—
1030C2×C4⋊C4—891no—
1031C2×C4⋊C4—891no—
1032C2×C4⋊C4—891no—
1033C2×C4⋊C4—891no—
1034C2×C4⋊C4—891no—
1035C2×C4⋊C4—891no—
1036C2×C4⋊C4—891no—
1037C2×C4⋊C4—891no—
1038C2×C4⋊C4—891no—
1039C2×C4⋊C4—891no—
1040C2×C4⋊C4C22×D8911yescharacteristic
1041C2×C4⋊C4C22×D8911yescharacteristic
1042C2×C4⋊C4C22×D8911yescharacteristic
1043C2×C22⋊C4—891no—
1044C2×C22⋊C4—891no—
1045C2×C22⋊C4—891no—
1046C2×C22⋊C4—891no—
1047C2×C22⋊C4—891no—
1048C2×C22⋊C4—891no—
1049C2×C22⋊C4—891no—
1050C2×C22⋊C4—891no—
1051C2×C22⋊C4—891no—
1052C2×C22⋊C4—891no—
1053C2×C22⋊C4—891no—
1054C2×C22⋊C4—891no—
1055C2×C22⋊C4—891no—
1056C2×C22⋊C4—891no—
1057C2×C22⋊C4—891no—
1058C2×C22⋊C4—891no—
1059C2×C22⋊C4—891no—
1060C2×C22⋊C4—891no—
1061C2×C22⋊C4—891no—
1062C2×C22⋊C4—891no—
1063C2×C22⋊C4—891no—
1064C2×C22⋊C4—891no—
1065C2×C22⋊C4—891no—
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—1784no—
1075C2×C22⋊C4—1784no—
1076C2×C22⋊C4C22×D8911yescharacteristic
1077C2×C22⋊C4C22×D8911yescharacteristic
1078C2×C22⋊C4C22×D8911yescharacteristic
1079C2×C22⋊C4C22×D8911yescharacteristic
1080C2×C22⋊C4C22×D8911yescharacteristic
1081C2×C22⋊C4C22×D8911yescharacteristic
1082C2×C22⋊C4C22×D8911yescharacteristic
1083C2×C22⋊C4C22×D8911yescharacteristic
1084C2×C22⋊C4C22×D8911yescharacteristic
1085C2×C22⋊C4C22×D8911yescharacteristic
1086C2×C22⋊C4C22×D8911yescharacteristic
1087C2×C22⋊C4C22×D8911yescharacteristic
1088C2×C22⋊C4C22×D8911yescharacteristic
1089C2×C42—891no—
1090C2×C42—891no—
1091C2×C42—891no—
1092C2×C42—891no—
1093C2×C42—891no—
1094C2×C42—891no—
1095C2×C42—891no—
1096C2×C42—891no—
1097C2×C42—891no—
1098C2×C42—891no—
1099C2×C42—891no—
1100C2×C42—891no—
1101C2×C42—891no—
1102C2×C42—891no—
1103C2×C42—891no—
1104C2×C42—891no—
1105C2×C42—891no—
1106C2×C42—3562no—
1107C2×C42—3562no—
1108C2×C42—3562no—
1109C2×C42C22×D8911yescharacteristic
1110C2×C42C22×D8911yescharacteristic
1111C2×C42C22×D8911yescharacteristic
1112#95—891no—
1113#95—891no—
1114#95—891no—
1115#95—891no—
1116#95—891no—
1117#95—891no—
1118#95—891no—
1119#95—891no—
1120#95—891no—
1121#95—891no—
1122#95—891no—
1123#95—891no—
1124#95—891no—
1125#95—891no—
1126#95—891no—
1127#95—891no—
1128#95—891no—
1129#95—891no—
1130#95—891no—
1131#95—891no—
1132#95—891no—
1133#95—891no—
1134#95—891no—
1135#95—891no—
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#95C22×D8911yescharacteristic
1147#95C22×D8911yescharacteristic
1148#95C22×D8911yescharacteristic
1149#95C22×D8911yescharacteristic
1150#95C22×D8911yescharacteristic
1151#95C22×D8911yescharacteristic
1152#95C22×D8911yescharacteristic
1153#95C22×D8911yescharacteristic
1154#95C22×D8911yescharacteristic
1155#95C22×D8911yescharacteristic
1156C24—891no—
1157C24—891no—
1158C24—3561no—
1159C24—3561no—
1160C24—1782no—
1161C24—1782no—
1162C24—1782no—
1163C24—1782no—
1164C24—1782no—
1165C24C23×D8911yescharacteristic
1166C24C23×D8911yescharacteristic
1167C24C23×D8911yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—41no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—894no—
1181C2×D4—3561no—
1182C2×D4—3561no—
1183C2×D4—1782no—
1184C2×D4—1782no—
1185C2×D4—1782no—
1186C2×D4—1782no—
1187C2×D4—1782no—
1188C2×D4—1782no—
1189C2×D4—1782no—
1190C2×D4—1782no—
1191C2×D4—1782no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—891no—
1199C22×C4—891no—
1200C22×C4—891no—
1201C22×C4—891no—
1202C22×C4—894no—
1203C22×C4—891no—
1204C22×C4—891no—
1205C22×C4—891no—
1206C22×C4—891no—
1207C22×C4—891no—
1208C22×C4—891no—
1209C22×C4—891no—
1210C22×C4—891no—
1211C22×C4—891no—
1212C22×C4—891no—
1213C22×C4—3561no—
1214C22×C4—3561no—
1215C22×C4—3561no—
1216C22×C4—3561no—
1217C22×C4—3561no—
1218C22×C4—3561no—
1219C22×C4—3561no—
1220C22×C4—3561no—
1221C22×C4—35616no—
1222C22×C4—3561no—
1223C22×C4—1782no—
1224C22×C4—1782no—
1225C22×C4—1782no—
1226C22×C4—1782no—
1227C22×C4—1782no—
1228C22×C4—1782no—
1229C22×C4—1782no—
1230C22×C4—1782no—
1231C22×C4—1782no—
1232C22×C4—1782no—
1233C22×C4—1782no—
1234C22×C4—1782no—
1235C22×C4—1782no—
1236C22×C4—1782no—
1237C22×C4—1782no—
1238C22×C4—1782no—
1239C22×C4—1782no—
1240C22×C4—1782no—
1241C22×C4—1782no—
1242C22×C4—1782no—
1243C22×C4—1782no—
1244C22×C4—1782no—
1245C22×C4—1782no—
1246C22×C4—1782no—
1247C22×C4—1782no—
1248C22×C4—1782no—
1249C22×C4C23×D8911yescharacteristic
1250C22×C4C23×D8911yescharacteristic
1251C22×C4C23×D8911yescharacteristic
1252C22×C4C23×D8911yescharacteristic
1253C22×C4C23×D8911yescharacteristic
1254C22×C4C23×D8911yescharacteristic
1255C22×C4C23×D8911yescharacteristic
1256C22×C4C23×D8911yescharacteristic
1257C22×C4C23×D8911yescharacteristic
1258C22×C4C23×D8911yescharacteristic
1259C22×C4C23×D8911yescharacteristic
1260C22×C4C23×D8911yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—3561no—
1265C4⋊C4—3561no—
1266C4⋊C4—3561no—
1267C4⋊C4—3561no—
1268C4⋊C4—3561no—
1269C4⋊C4—3561no—
1270C4⋊C4—3561no—
1271C4⋊C4—3561no—
1272C4⋊C4—3561no—
1273C4⋊C4—3561no—
1274C4⋊C4—1782no—
1275C4⋊C4—1782no—
1276C4⋊C4—1782no—
1277C4⋊C4—1782no—
1278C4⋊C4—1782no—
1279C4⋊C4—1782no—
1280C4⋊C4—1782no—
1281C4⋊C4—1782no—
1282C4⋊C4—1782no—
1283C4⋊C4—1782no—
1284C4⋊C4—1782no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—894no—
1298C22⋊C4—894no—
1299C22⋊C4—3561no—
1300C22⋊C4—3561no—
1301C22⋊C4—3561no—
1302C22⋊C4—3561no—
1303C22⋊C4—3561no—
1304C22⋊C4—3561no—
1305C22⋊C4—3561no—
1306C22⋊C4—3561no—
1307C22⋊C4—3561no—
1308C22⋊C4—1782no—
1309C22⋊C4—1782no—
1310C22⋊C4—1782no—
1311C22⋊C4—1782no—
1312C22⋊C4—1782no—
1313C22⋊C4—1782no—
1314C22⋊C4—1782no—
1315C22⋊C4—1782no—
1316C22⋊C4—1782no—
1317C22⋊C4—1782no—
1318C22⋊C4—1782no—
1319C22⋊C4—1782no—
1320C22⋊C4—1782no—
1321C22⋊C4—1782no—
1322C22⋊C4—1782no—
1323C22⋊C4—1782no—
1324C22⋊C4—1782no—
1325C22⋊C4—1782no—
1326C22⋊C4—1782no—
1327C22⋊C4—1782no—
1328C22⋊C4#1308357314yes—
1329C42—22no—
1330C42—41no—
1331C42—41no—
1332C42—3561no—
1333C42—3561no—
1334C42—3561no—
1335C42—3561no—
1336C42—1782no—
1337C42—1782no—
1338C42—1782no—
1339C42—1782no—
1340C42—1782no—
1341C42—1782no—
1342C42—1782no—
1343C42—1782no—
1344C42—1782no—
1345C42—1782no—
1346C42—1782no—
1347C42—1782no—
1348C42—1782no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—892no—
1369C23—892no—
1370C23—892no—
1371C23—892no—
1372C23—3564no—
1373C23—3564no—
1374C23—3564no—
1375C23—3564no—
1376C23—3564no—
1377C23—3564no—
1378C23—1788no—
1379C23—1781no—
1380C23—1781no—
1381C23—1781no—
1382C23—1781no—
1383C23—1781no—
1384C23—1781no—
1385C23—1781no—
1386C23—1781no—
1387C23—1781no—
1388C23—1781no—
1389C23#41×D8912yes—
1390C23C2×#1308357312yes—
1391C23C24×D8911yescharacteristic
1392Q8—44no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—3564no—
1397D4—3564no—
1398D4—3564no—
1399D4—1788no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
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—44no—
1432C2×C4—44no—
1433C2×C4—892no—
1434C2×C4—892no—
1435C2×C4—892no—
1436C2×C4—892no—
1437C2×C4—892no—
1438C2×C4—892no—
1439C2×C4—3564no—
1440C2×C4—3564no—
1441C2×C4—3564no—
1442C2×C4—3564no—
1443C2×C4—3564no—
1444C2×C4—3564no—
1445C2×C4—3564no—
1446C2×C4—3564no—
1447C2×C4—3564no—
1448C2×C4—3564no—
1449C2×C4—3564no—
1450C2×C4—1788no—
1451C2×C4—1781no—
1452C2×C4—1781no—
1453C2×C4—1781no—
1454C2×C4—1781no—
1455C2×C4—1781no—
1456C2×C4—1781no—
1457C2×C4—1781no—
1458C2×C4—1781no—
1459C2×C4—1781no—
1460C2×C4—1781no—
1461C2×C4—1781no—
1462C2×C4—1781no—
1463C2×C4—1781no—
1464C2×C4—1781no—
1465C2×C4—1781no—
1466C2×C4—1781no—
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#41×D8912yes—
1488C2×C4#41×D8912yes—
1489C2×C4#41×D8912yes—
1490C2×C4C2×#1308357312yes—
1491C2×C4C2×#1308357312yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—894no—
1514C22—35616no—
1515C22—3561no—
1516C22—3561no—
1517C22—3561no—
1518C22—3561no—
1519C22—1782no—
1520C22—1782no—
1521C22—1782no—
1522C22—1782no—
1523C22—1782no—
1524C22—1782no—
1525C22—1782no—
1526C22—1782no—
1527C22—1782no—
1528C22C2×#41×D8911yescharacteristic
1529C22C2×#41×D8911yescharacteristic
1530C22C2×#41×D8911yescharacteristic
1531C22C2×#41×D8911yescharacteristic
1532C22C22×#1308357311yescharacteristic
1533C22H(5,𝔽2)×D8911yescharacteristic
1534C22H(5,𝔽2)×D8911yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—894no—
1548C4—3561no—
1549C4—3561no—
1550C4—3561no—
1551C4—3561no—
1552C4—3561no—
1553C4—3561no—
1554C4—3561no—
1555C4—3561no—
1556C4—3561no—
1557C4—3561no—
1558C4—1782no—
1559C4—1782no—
1560C4—1782no—
1561C2—42no—
1562C2—42no—
1563C2—81no—
1564C2—3562no—
1565C2—1784no—
1566C2#529×D8911yescharacteristic
1567C2#2603354711yescharacteristic
1568C2#538×D8911yescharacteristic
1569C2#2603385511yescharacteristic
1570C2#2603385711yescharacteristic
1571C2#2603385711yescharacteristic
1572C2#2603386111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2557C2
prime radical#26023791C2
hypercenter#2557D89
hypocenterC89#34959
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. #26025802C2semidirect
2. #26025775C2semidirect
3. #26025710C2semidirect
4. #26025667C2semidirect
5. #26025583C2semidirect
6. #26025556C2semidirect
7. #26025386C2semidirect
8. #26024805C2semidirect
9. #26024750C2semidirect
10. #26024499C2semidirect
11. #26024374C2semidirect
12. #26024069C2semidirect
13. #26023999C2semidirect
15. #26023711C2semidirect
16. #26023549C2semidirect
17. #26023534C2semidirect
18. #26023510C2semidirect
19. #26023487C2semidirect
20. #26022802C2semidirect
21. #124×Dic89C2semidirect
22. #26022790C2semidirect
23. #123×Dic89C2semidirect
24. #26022768C2semidirect
25. #26022762C2semidirect
26. #26022757C2semidirect
27. #26022757C2semidirect
28. #26022694C2semidirect
29. C4×#15667972C2semidirect
30. C4×C22⋊C4×D89C2semidirect
31. C89×#2557C2semidirect
39. C2×Q8×Dic89C22semidirect
42. C2×D4×Dic89C22semidirect
49. C2×#15667968C22semidirect
52. C22×C4×Dic89C22semidirect
55. C89⋊#401C22semidirect
56. #19151540C22semidirect
57. #19151540C22semidirect
58. #19151540C22semidirect
59. #19151539C22semidirect
60. #19151539C22semidirect
61. #19151536C22semidirect
63. #19151532C22semidirect
64. #19151530C22semidirect
68. #19151526C22semidirect
70. #19151523C22semidirect
71. #19151523C22semidirect
74. #19151521C22semidirect
81. #19151512C22semidirect
83. #19151505C22semidirect
86. #19151496C22semidirect
87. #19151496C22semidirect
88. #19151495C22semidirect
89. #19151492C22semidirect
90. #19151492C22semidirect
95. #19151491C22semidirect
96. #19151491C22semidirect
97. #19151491C22semidirect
102. #19151486C22semidirect
103. #19151485C22semidirect
104. #19151485C22semidirect
105. #19151485C22semidirect
106. #19151484C22semidirect
107. #19151484C22semidirect
108. #19151483C22semidirect
109. #19151482C22semidirect
110. #19151480C22semidirect
121. #19151473C22semidirect
132. #19151465C22semidirect
133. #19151464C22semidirect
134. #19151461C22semidirect
135. #19151456C22semidirect
140. C4⋊C4×Dic89C22semidirect
141. C4⋊C4×Dic89C22semidirect
142. C4⋊C4×Dic89C22semidirect
143. C4×#13083553C22semidirect
144. #19151449C22semidirect
145. #19151449C22semidirect
146. #19151449C22semidirect
147. #19151449C22semidirect
152. C22⋊C4×Dic89C22semidirect
153. C22⋊C4×Dic89C22semidirect
154. C22⋊C4×Dic89C22semidirect
155. C22⋊C4×Dic89C22semidirect
156. C22⋊C4×Dic89C22semidirect
168. #19151443C22semidirect
171. C42×Dic89C22semidirect
175. #397×C89C22semidirect
176. #393×C89C22semidirect
178. #391×C89C22semidirect
179. #390×C89C22semidirect
180. #388×C89C22semidirect
181. #387×C89C22semidirect
184. #386×C89C22semidirect
186. C4×C22⋊C4×C89C22semidirect
794. #2557D89semidirect
818. C89#34959semidirect
862. #397C2×D89semidirect
874. #393C2×D89semidirect
877. #391C2×D89semidirect
880. #390C2×D89semidirect
898. #388C2×D89semidirect
907. #387C2×D89semidirect
920. #386C2×D89semidirect
969. C4×C22⋊C4C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260258022
#260257752
#260257102
#260256672
#260255832
#260255562
#260253862
#260248052
#260247502
#260244992
#260243742
#260240692
#260239992
#260237912
#260237112
#260235492
#260235342
#260235102
#260234872
#260228022
#124×Dic892
#260227902
#123×Dic892
#260227682
#260227622
#260227572
#260226942
C4×#156679722
C4×C22⋊C4×D892
C89×#25572
#3495989