Finite Group Databasebeta

← #36724372

Subgroups — #36724372

Order 22784.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152150C211yesmaximal, characteristic, complemented
2C2×#19152104C211yesmaximal, characteristic
3#26024623C211yesmaximal, characteristic, complemented
4#26024619C211yesmaximal, characteristic, complemented
5#26024612C211yesmaximal, characteristic, complemented
6#26024608C211yesmaximal, characteristic, complemented
7#26024601C211yesmaximal, characteristic, complemented
8#26024597C211yesmaximal, characteristic, complemented
9#26024590C211yesmaximal, characteristic, complemented
10#26024586C211yesmaximal, characteristic, complemented
11#26024584C211yesmaximal, characteristic, complemented
12#26024580C211yesmaximal, characteristic, complemented
13#26024576C211yesmaximal, characteristic, complemented
14#26024572C211yesmaximal, characteristic, complemented
15#26024377C211yesmaximal, characteristic, complemented
16#26024375C211yesmaximal, characteristic, complemented
17#26024372C211yesmaximal, characteristic, complemented
18#26023540C211yesmaximal, characteristic, complemented
19#26023540C211yesmaximal, characteristic, complemented
20#26023537C211yesmaximal, characteristic, complemented
21#26023534C211yesmaximal, characteristic, complemented
22#26022799C211yesmaximal, characteristic, complemented
23#124×Dic89C211yesmaximal, characteristic, complemented
24#26022793C211yesmaximal, characteristic, complemented
25#26022793C211yesmaximal, characteristic, complemented
26#26022737C211yesmaximal, characteristic, complemented
27#26022737C211yesmaximal, characteristic, complemented
28#26022630C211yesmaximal, characteristic, complemented
29C4×#15667968C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic89C211yesmaximal, characteristic, complemented
31C89×#2472C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C24×Dic89C2211yescharacteristic
34#19152150—28no—
35C2×#15668011C2211yescharacteristic, complemented
36C2×#15668010C2211yescharacteristic, complemented
37C2×#15668002C2211yescharacteristic, complemented
38C2×#15668002C2211yescharacteristic, complemented
39C2×#15667999C2211yescharacteristic
40C2×#15667998C2211yescharacteristic
41C2×#15667998C2211yescharacteristic
42#19152104—28no—
43C2×#15667996C2211yescharacteristic
44C2×#15667993C2211yescharacteristic
45C2×#15667991C2211yescharacteristic
46C2×#15667989C2211yescharacteristic
47C2×#15667989C2211yescharacteristic
48C2×#15667989C2211yescharacteristic
49C2×#15667989C2211yescharacteristic
50C2×#15667984C2211yescharacteristic
51C2×#15667984C2211yescharacteristic
52C2×#15667981C2211yescharacteristic
53C2×Q8×Dic89C2211yescharacteristic, complemented
54C2×#15667977C2211yescharacteristic, complemented
55C2×#15667977C2211yescharacteristic, complemented
56C2×#15667977C2211yescharacteristic, complemented
57C2×D4×Dic89C2211yescharacteristic
58C2×D4×Dic89C2211yescharacteristic
59C2×#15667972C2211yescharacteristic
60C2×#15667972C2211yescharacteristic
61C2×#15667968C2211yescharacteristic
62C2×#15667968C2211yescharacteristic
63C2×#15667968C2211yescharacteristic
64C22×C22⋊Dic89C2211yescharacteristic
65C22×C4×Dic89C2211yescharacteristic
66C22×C4×Dic89C2211yescharacteristic
67#19151540C2211yescharacteristic, complemented
68#19151540C2211yescharacteristic, complemented
69#19151539C2211yescharacteristic, complemented
70#19151539C2211yescharacteristic, complemented
71#19151538C2211yescharacteristic, complemented
72#19151538C2211yescharacteristic, complemented
73#19151537C2211yescharacteristic, complemented
74#19151537C2211yescharacteristic, complemented
75#19151526C2211yescharacteristic
76#19151526C2211yescharacteristic
77#19151526C2211yescharacteristic, complemented
78#19151526C2211yescharacteristic, complemented
79#19151525C2211yescharacteristic, complemented
80#19151524C2211yescharacteristic, complemented
81#19151523C2211yescharacteristic
82#19151514C2211yescharacteristic
83#19151514C2211yescharacteristic
84#19151513C2211yescharacteristic
85#19151513C2211yescharacteristic
86#19151512C2211yescharacteristic
87#19151512C2211yescharacteristic
88#19151511C2211yescharacteristic, complemented
89#19151510C2211yescharacteristic
90#19151510C2211yescharacteristic
91#19151510C2211yescharacteristic
92#19151510C2211yescharacteristic, complemented
93#19151510C2211yescharacteristic, complemented
94#19151509C2211yescharacteristic, complemented
95#19151505C2211yescharacteristic, complemented
96#19151504C2211yescharacteristic, complemented
97#19151502C2211yescharacteristic, complemented
98#19151502C2211yescharacteristic, complemented
99#19151502C2211yescharacteristic, complemented
100#19151502C2211yescharacteristic, complemented
101#19151502C2211yescharacteristic, complemented
102#19151502C2211yescharacteristic, complemented
103#19151501C2211yescharacteristic
104#19151498C2211yescharacteristic
105#19151498C2211yescharacteristic
106#19151498C2211yescharacteristic, complemented
107#19151498C2211yescharacteristic, complemented
108#19151498C2211yescharacteristic, complemented
109#19151498C2211yescharacteristic, complemented
110#19151492C2211yescharacteristic
111#19151492C2211yescharacteristic
112#19151491C2211yescharacteristic
113#19151491C2211yescharacteristic
114#19151491C2211yescharacteristic, complemented
115#19151491C2211yescharacteristic, complemented
116#19151489C2211yescharacteristic, complemented
117#19151489C2211yescharacteristic, complemented
118#19151488C2211yescharacteristic, complemented
119#19151488C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic
121#19151486C2211yescharacteristic
122#19151486C2211yescharacteristic, complemented
123#19151486C2211yescharacteristic, complemented
124#19151478C2211yescharacteristic
125#19151478C2211yescharacteristic
126#19151477C2211yescharacteristic
127#19151477C2211yescharacteristic
128#19151475C2211yescharacteristic
129#19151475C2211yescharacteristic
130#19151464C2211yescharacteristic, complemented
131#19151463C2211yescharacteristic, complemented
132#19151462C2211yescharacteristic, complemented
133#19151462C2211yescharacteristic, complemented
134#19151459C2211yescharacteristic
135#19151459C2211yescharacteristic
136#19151456C2211yescharacteristic
137#19151456C2211yescharacteristic
138#19151456C2211yescharacteristic
139#19151456C2211yescharacteristic
140#19151454C2211yescharacteristic
141C4×#13083553C2211yescharacteristic, complemented
142C4×#13083553C2211yescharacteristic, complemented
143#19151449C2211yescharacteristic, complemented
144#19151449C2211yescharacteristic, complemented
145C22⋊C4×Dic89C2211yescharacteristic
146C22⋊C4×Dic89C2211yescharacteristic
147C22⋊C4×Dic89C2211yescharacteristic
148C22⋊C4×Dic89C2211yescharacteristic
149C22⋊C4×Dic89C2211yescharacteristic
150C22⋊C4×Dic89C2211yescharacteristic
151C22⋊C4×Dic89C2211yescharacteristic
152C22⋊C4×Dic89C2211yescharacteristic
153C22⋊C4×Dic89C2211yescharacteristic
154C22⋊C4×Dic89C2211yescharacteristic
155C22⋊C4×Dic89C2211yescharacteristic
156C22⋊C4×Dic89C2211yescharacteristic
157C22⋊C4×Dic89C2211yescharacteristic
158C22⋊C4×Dic89C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic, complemented
160C22⋊C4×Dic89C2211yescharacteristic, complemented
161C22⋊C4×Dic89C2211yescharacteristic, complemented
162C22⋊C4×Dic89C2211yescharacteristic, complemented
163C4×C22⋊Dic89C2211yescharacteristic
164#19151445C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic, complemented
166#19151445C2211yescharacteristic, complemented
167#19151445C2211yescharacteristic, complemented
168#19151443C2211yescharacteristic, complemented
169#19151443C2211yescharacteristic, complemented
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C42×Dic89C2211yescharacteristic, complemented
173C42×Dic89C2211yescharacteristic, complemented
174C2×#124×C89C2211yescharacteristic
175C2×C22⋊Q8×C89C2211yescharacteristic
176C2×#120×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic
178#397×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#394×C89C2211yescharacteristic
181#393×C89C2211yescharacteristic
182#390×C89C2211yescharacteristic
183#388×C89C2211yescharacteristic
184#388×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic
186#386×C89C2211yescharacteristic
187#379×C89C2211yescharacteristic
188C4×C22⋊C4×C89C2211yescharacteristic
189C2×#13083573—24no—
190C2×#13083573—24no—
191C2×#13083573—24no—
192C22×Dic178C2311yescharacteristic
193C22×Dic178C2311yescharacteristic
194C22×Dic178C2311yescharacteristic
195C22×Dic178C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89—24no—
201C23×Dic89—24no—
202C23×Dic89—24no—
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C23×Dic89C2311yescharacteristic
209C23×Dic89C2311yescharacteristic
210C23×Dic89C2311yescharacteristic
211C23×Dic89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213#15668011—24no—
214#15668010—24no—
215#15668002—24no—
216#15668002—24no—
217#15667999—24no—
218#15667998—24no—
219#15667998—24no—
220#15667996—24no—
221#15667993—24no—
222#15667991—24no—
223#15667989—24no—
224#15667989—24no—
225#15667989—24no—
226#15667989—24no—
227#15667984—24no—
228#15667984—24no—
229#15667981—24no—
230Q8×Dic89—24no—
231#15667977—24no—
232#15667977—24no—
233#15667977—24no—
234D4×Dic89—24no—
235D4×Dic89—24no—
236#15667972—24no—
237#15667972—24no—
238#15667968—24no—
239#15667968—24no—
240#15667968D418yes—
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
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×#13083553C2311yescharacteristic
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×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×C4×Dic89—24no—
291C2×C4×Dic89—24no—
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
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
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
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346C25×C89C2311yescharacteristic
347C22×Q8×C89C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C22×D4×C89C2311yescharacteristic
350C22×D4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353#124×C89—24no—
354C22⋊Q8×C89—24no—
355#120×C89—24no—
356C2×C4⋊C4×C89C2311yescharacteristic
357C2×C4⋊C4×C89C2311yescharacteristic
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89—24no—
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊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×C22⋊C4×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
386#13083573—416no—
387C2×Dic178—22no—
388C2×Dic178—22no—
389C2×Dic178—22no—
390C2×Dic178—22no—
391C2×Dic178—22no—
392C2×Dic178—22no—
393C2×Dic178—22no—
394C2×Dic178—22no—
395C2×Dic178—22no—
396C2×Dic178—41no—
397C2×Dic178—41no—
398C2×Dic178—41no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C22×Dic89—22no—
412C22×Dic89—22no—
413C22×Dic89—22no—
414C22×Dic89—22no—
415C22×Dic89—22no—
416C22×Dic89—22no—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—22no—
424C22×Dic89—22no—
425C22×Dic89—22no—
426C22×Dic89—22no—
427C22×Dic89—22no—
428C22×Dic89—22no—
429C22×Dic89—22no—
430C22×Dic89—22no—
431C22×Dic89—22no—
432C22×Dic89—22no—
433C22×Dic89—41no—
434C22×Dic89—41no—
435C22×Dic89—416no—
436C22×Dic89C2×D414yes—
437C22×Dic89#4114yes—
438C22×Dic89#4114yes—
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C22×Dic89C2411yescharacteristic
448C22×Dic89C2411yescharacteristic
449C22×Dic89C2411yescharacteristic
450C22×Dic89C2411yescharacteristic
451C22×Dic89C2411yescharacteristic
452C22×Dic89C2411yescharacteristic
453C22×Dic89C2411yescharacteristic
454C2×C4×D89—22no—
455C2×C4×D89—22no—
456C2×C4×D89—22no—
457C4⋊Dic89—22no—
458C4⋊Dic89—22no—
459C4⋊Dic89—22no—
460C4⋊Dic89—22no—
461C4⋊Dic89—22no—
462#13083553—22no—
463#13083553—22no—
464#13083553—22no—
465#13083553—22no—
466#13083553—22no—
467#13083553—22no—
468#13083553—22no—
469#13083553—22no—
470#13083553—22no—
471#13083553—22no—
472#13083553—22no—
473#13083553—22no—
474#13083553C2×D414yes—
475#13083553C2×D414yes—
476C22⋊Dic89—22no—
477C22⋊Dic89—22no—
478C22⋊Dic89—22no—
479C22⋊Dic89—22no—
480C22⋊Dic89—22no—
481C22⋊Dic89—22no—
482C22⋊Dic89—22no—
483C22⋊Dic89—22no—
484C22⋊Dic89—22no—
485C22⋊Dic89—22no—
486C22⋊Dic89—22no—
487C22⋊Dic89—22no—
488C22⋊Dic89—22no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
491C22⋊Dic89—41no—
492C22⋊Dic89—41no—
493C22⋊Dic89C2×D414yes—
494C22⋊Dic89#4114yescomplemented
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505C4×Dic89—22no—
506C4×Dic89—22no—
507C4×Dic89—22no—
508C4×Dic89—22no—
509C4×Dic89—22no—
510C4×Dic89—22no—
511C4×Dic89—22no—
512C4×Dic89—22no—
513C4×Dic89—22no—
514C4×Dic89—22no—
515C4×Dic89—22no—
516C4×Dic89—22no—
517C4×Dic89—22no—
518C4×Dic89—22no—
519C4×Dic89—22no—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89C2×D414yes—
524C4×Dic89C2×D414yes—
525C24×C89—22no—
526C24×C89—22no—
527C24×C89—22no—
528C24×C89—22no—
529C24×C89—22no—
530C24×C89—41no—
531C24×C89—41no—
532C24×C89C2411yescharacteristic
533C24×C89C2411yescharacteristic
534C24×C89C2411yescharacteristic
535C24×C89C2411yescharacteristic
536C2×Q8×C89—22no—
537C2×Q8×C89—22no—
538C2×Q8×C89—41no—
539C2×D4×C89—22no—
540C2×D4×C89—22no—
541C2×D4×C89—22no—
542C2×D4×C89—22no—
543C2×D4×C89—22no—
544C2×D4×C89—22no—
545C2×D4×C89—22no—
546C2×D4×C89—41no—
547C2×D4×C89—41no—
548C22×C4×C89—22no—
549C22×C4×C89—22no—
550C22×C4×C89—22no—
551C22×C4×C89—22no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C4⋊C4×C89—22no—
566C4⋊C4×C89—22no—
567C4⋊C4×C89—22no—
568C22⋊C4×C89—22no—
569C22⋊C4×C89—22no—
570C22⋊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—41no—
580C22⋊C4×C89—41no—
581C22⋊C4×C89—41no—
582C22⋊C4×C89—41no—
583C22⋊C4×C89C2×D414yes—
584C22⋊C4×C89#4114yescomplemented
585C42×C89—22no—
586C42×C89—41no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—28no—
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—21no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89—44no—
617C23×C89C22×D412yes—
618C23×C89C2×#4112yes—
619C23×C89C2×#4112yes—
620C23×C89C2×#4112yes—
621C23×C89C2×#4112yes—
622C23×C89C2511yescharacteristic
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630Q8×C89—44no—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—44no—
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—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
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×C89—44no—
665C2×C4×C89C22×D412yes—
666C2×C4×C89C22×D412yes—
667C2×C4×C89C2×#4112yes—
668C2×C4×C89C2×#4112yes—
669C22⋊D89—44no—
670C22⋊D89—44no—
671C22⋊D89—44no—
672C22⋊D89—44no—
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—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—44no—
709C2×Dic89—44no—
710C2×Dic89—44no—
711C2×Dic89—44no—
712C2×Dic89—44no—
713C2×Dic89—44no—
714C2×Dic89—44no—
715C2×Dic89—44no—
716C2×Dic89#124116yescomplemented
717C2×Dic89C22×D412yes—
718C2×Dic89C22×D412yes—
719C2×Dic89C22×D412yes—
720C2×Dic89C22×D412yes—
721C2×Dic89C2×#4112yes—
722C2×Dic89C2×#4112yes—
723C2×Dic89C2×#4112yes—
724C2×Dic89C2×#4112yes—
725C2×Dic89C2×#4112yes—
726C2×Dic89C2×#4112yes—
727C4×D89—44no—
728Dic178—44no—
729Dic178—44no—
730Dic178—44no—
731Dic178—44no—
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—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—416no—
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—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89C2×#12414yes—
761C22×C89C23×D411yescharacteristic
762C22×C89C22×#4111yescharacteristic
763C22×C89C22×#4111yescharacteristic
764C22×C89C22×#4111yescharacteristic
765C22×C89C22×#4111yescharacteristic
766C22×C89#58511yescharacteristic
767C22×C89#58511yescharacteristic
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—22no—
778C4×C89—22no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786Dic89—22no—
787Dic89—22no—
788Dic89—22no—
789Dic89—22no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89C2×#12414yes—
800Dic89C2×#12414yes—
801#34813—891nomaximal, Sylow
802C2×C89—24no—
803C2×C89—42no—
804C2×C89—42no—
805C2×C89—81no—
806C2×C89C22×#12411yescharacteristic
807C2×C89#344411yescharacteristic
808C2×C89#345511yescharacteristic
809C2×C89D4×#4111yescharacteristic
810C2×C89D4×#4111yescharacteristic
811C2×C89#347511yescharacteristic
812C2×C89#347511yescharacteristic
813D89—81no—
814C2×#533—891no—
815C2×#525—891no—
816#2492—891no—
817#2492—891no—
818#2491—891no—
819#2491—891no—
820#2490—891no—
821#2490—891no—
822#2489—891no—
823#2489—891no—
824#2488—891no—
825#2488—891no—
826#2488—891no—
827#2488—891no—
828#2472—891no—
829#2472—891no—
830#2472—891no—
831#2472D8911yescharacteristic, complemented
832#2398—891no—
833#2398—891no—
834#2398—891no—
835#2398—891no—
836C4×#124—891no—
837C4×#124—891no—
838C4×#124—891no—
839C4×#124—891no—
840#2297—891no—
841#2297—891no—
842#2280—891no—
843C4×#117—891no—
844C2×C4×C22⋊C4—891no—
845C89#3481311yescharacteristic, complemented, Sylow
846C22×#41—891no—
847C24×C4—891no—
848#533—1788no—
849C2×C4⋊Q8—891no—
850C2×C4⋊Q8—891no—
851C2×#125—891no—
852C2×#125—891no—
853C2×#124—891no—
854C2×#124—891no—
855C2×#124—891no—
856C2×#124C2×D8911yescharacteristic
857#525—1788no—
858C2×#123—891no—
859C2×#123—891no—
860C2×C22⋊Q8—891no—
861C2×C22⋊Q8—891no—
862C2×C22⋊Q8—891no—
863C2×C22⋊Q8—891no—
864C2×C22⋊Q8—891no—
865C2×C22⋊Q8C2×D8911yescharacteristic
866C2×#121—891no—
867C2×#121—891no—
868C2×#120—891no—
869C2×#120C2×D8911yescharacteristic
870C2×C4×Q8—891no—
871C2×C4×Q8—891no—
872C2×C4×Q8—891no—
873C2×C4×Q8—891no—
874C2×C4×D4—891no—
875C2×C4×D4—891no—
876C2×C4×D4—891no—
877C2×C4×D4—891no—
878C2×#117—891no—
879C2×#117—891no—
880C2×#117—891no—
881C22×C22⋊C4—891no—
882C22×C22⋊C4C2×D8911yescharacteristic
883C22×C42—891no—
884C22×C42—891no—
885#400—891no—
886#400—891no—
887#400—891no—
888#400—891no—
889#400—891no—
890#400—891no—
891#400—891no—
892#400—891no—
893#397—891no—
894#397—891no—
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397C2×D8911yescharacteristic
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394C2×D8911yescharacteristic
908#394C2×D8911yescharacteristic
909#393—891no—
910#393—891no—
911#393—891no—
912#393—891no—
913#393—891no—
914#393—891no—
915#393—891no—
916#393C2×D8911yescharacteristic
917#391—891no—
918#391—891no—
919#391—891no—
920#391—891no—
921#391—891no—
922#391—891no—
923#391—891no—
924#391—891no—
925#390—891no—
926#390—891no—
927#390—891no—
928#390—891no—
929#390—891no—
930#390—891no—
931#390—891no—
932#390C2×D8911yescharacteristic
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388—891no—
943#388—891no—
944#388—891no—
945#388—891no—
946#388—891no—
947#388C2×D8911yescharacteristic
948#388C2×D8911yescharacteristic
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386C2×D8911yescharacteristic
956#386C2×D8911yescharacteristic
957#382—891no—
958#382—891no—
959#382—891no—
960#382—891no—
961#381—891no—
962#381—891no—
963#380—891no—
964#380—891no—
965#380—891no—
966#380—891no—
967#379—891no—
968#379C2×D8911yescharacteristic
969C4×C4⋊C4—891no—
970C4×C4⋊C4—891no—
971C4×C4⋊C4—891no—
972C4×C4⋊C4—891no—
973C4×C22⋊C4—891no—
974C4×C22⋊C4—891no—
975C4×C22⋊C4—891no—
976C4×C22⋊C4—891no—
977C4×C22⋊C4—891no—
978C4×C22⋊C4—891no—
979C4×C22⋊C4—891no—
980C4×C22⋊C4—891no—
981C4×C22⋊C4—891no—
982C4×C22⋊C4—891no—
983C4×C22⋊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⋊C4—891no—
996C4×C22⋊C4C2×D8911yescharacteristic
997#376—891no—
998#376—891no—
999C2×#95—891no—
1000C2×#95—891no—
1001C43—891no—
1002C43—891no—
1003C25C22×D8911yescharacteristic
1004C2×#41—1784no—
1005C2×#41—1784no—
1006C2×#41—1784no—
1007C22×Q8—891no—
1008C22×Q8—891no—
1009C22×Q8—891no—
1010C22×Q8—891no—
1011C22×Q8C22×D8911yescharacteristic
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4C22×D8911yescharacteristic
1017C22×D4C22×D8911yescharacteristic
1018C22×D4C22×D8911yescharacteristic
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—1784no—
1030C23×C4—1784no—
1031C23×C4—1784no—
1032C23×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034C4⋊Q8—1784no—
1035C4⋊Q8—1784no—
1036#125—1784no—
1037#125—1784no—
1038#124—24no—
1039#124—1784no—
1040#124—1784no—
1041#124—1784no—
1042#123—1784no—
1043#123—1784no—
1044C22⋊Q8—24no—
1045C22⋊Q8—1784no—
1046C22⋊Q8—1784no—
1047C22⋊Q8—1784no—
1048C22⋊Q8—1784no—
1049C22⋊Q8—1784no—
1050#121—1784no—
1051#121—1784no—
1052#120—24no—
1053#120—1784no—
1054C4×Q8—1784no—
1055C4×Q8—1784no—
1056C4×Q8—1784no—
1057C4×Q8—1784no—
1058C4×D4—1784no—
1059C4×D4—1784no—
1060C4×D4—1784no—
1061C4×D4—1784no—
1062#117—898no—
1063#117—1784no—
1064#117—1784no—
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⋊C4C22×D8911yescharacteristic
1085C2×C4⋊C4C22×D8911yescharacteristic
1086C2×C4⋊C4C22×D8911yescharacteristic
1087C2×C22⋊C4—24no—
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⋊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—1784no—
1118C2×C22⋊C4C22×D8911yescharacteristic
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
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×C42—891no—
1136C2×C42—891no—
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—891no—
1155C2×C42—1784no—
1156C2×C42—1784no—
1157C2×C42C22×D8911yescharacteristic
1158C2×C42C22×D8911yescharacteristic
1159#95—891no—
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#95—891no—
1191#95—891no—
1192#95—891no—
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196#95C22×D8911yescharacteristic
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—891no—
1207C24C23×D8911yescharacteristic
1208C24C23×D8911yescharacteristic
1209C24C23×D8911yescharacteristic
1210C24C23×D8911yescharacteristic
1211#41—35616no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—3561no—
1216C2×Q8—3561no—
1217C2×Q8—3561no—
1218C2×Q8—1782no—
1219C2×Q8—1782no—
1220C2×Q8—1782no—
1221C2×Q8—1782no—
1222C2×Q8—1782no—
1223C2×Q8—1782no—
1224C2×Q8—1782no—
1225C2×Q8—1782no—
1226C2×Q8—1782no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—1782no—
1239C2×D4—1782no—
1240C2×D4—1782no—
1241C2×D4—1782no—
1242C2×D4—1782no—
1243C2×D4—1782no—
1244C2×D4—1782no—
1245C2×D4—1782no—
1246C2×D4—1782no—
1247C2×D4—1782no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—894no—
1255C22×C4—894no—
1256C22×C4—894no—
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—891no—
1267C22×C4—891no—
1268C22×C4—891no—
1269C22×C4—891no—
1270C22×C4—891no—
1271C22×C4—891no—
1272C22×C4—35616no—
1273C22×C4—3561no—
1274C22×C4—3561no—
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×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
1295C22×C4—1782no—
1296C22×C4—1782no—
1297C22×C4—1782no—
1298C22×C4—1782no—
1299C22×C4—1782no—
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C22×C4C23×D8911yescharacteristic
1308C22×C4C23×D8911yescharacteristic
1309C22×C4C23×D8911yescharacteristic
1310C22×C4C23×D8911yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—894no—
1315C4⋊C4—894no—
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—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—894no—
1349C22⋊C4—894no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
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—1782no—
1377C22⋊C4D4×D8914yes—
1378C22⋊C4#1308357314yescomplemented
1379C42—22no—
1380C42—41no—
1381C42—894no—
1382C42—894no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—1782no—
1387C42—1782no—
1388C42—1782no—
1389C42—1782no—
1390C42—1782no—
1391C42—1782no—
1392C42—1782no—
1393C42—1782no—
1394C42—1782no—
1395C42—1782no—
1396C42—1782no—
1397C42—1782no—
1398C42—1782no—
1399C42—1782no—
1400C42—1782no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—28no—
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—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23C2×D4×D8912yes—
1439C23#41×D8912yes—
1440C23#41×D8912yes—
1441C23#41×D8912yes—
1442C23C2×#1308357312yes—
1443C23C24×D8911yescharacteristic
1444Q8—44no—
1445Q8—3564no—
1446Q8—3564no—
1447Q8—3564no—
1448Q8—3564no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452D4—3564no—
1453D4—3564no—
1454D4—3564no—
1455D4—3564no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
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—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—892no—
1488C2×C4—892no—
1489C2×C4—892no—
1490C2×C4—892no—
1491C2×C4—892no—
1492C2×C4—892no—
1493C2×C4—8916no—
1494C2×C4—892no—
1495C2×C4—892no—
1496C2×C4—892no—
1497C2×C4—892no—
1498C2×C4—3564no—
1499C2×C4—3564no—
1500C2×C4—3564no—
1501C2×C4—3564no—
1502C2×C4—3564no—
1503C2×C4—3564no—
1504C2×C4—3564no—
1505C2×C4—3564no—
1506C2×C4—3564no—
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×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4C2×D4×D8912yes—
1543C2×C4C2×D4×D8912yes—
1544C2×C4C2×#1308357312yes—
1545C2×C4C2×#1308357312yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—416no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22#124×D8914yes—
1582C22C22×D4×D8911yescharacteristic
1583C22C2×#41×D8911yescharacteristic
1584C22C2×#41×D8911yescharacteristic
1585C22C2×#41×D8911yescharacteristic
1586C22C22×#1308357311yescharacteristic
1587C22#1915243311yescharacteristic
1588C22#1915243311yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—894no—
1601C4—894no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—1782no—
1612C4—1782no—
1613C4—1782no—
1614C4—1782no—
1615C2—24no—
1616C2—42no—
1617C2—42no—
1618C2—81no—
1619C2—7121no—
1620C2C2×#124×D8911yescharacteristic
1621C2#2603354411yescharacteristic
1622C2#2603363411yescharacteristic
1623C2D4×#1308357311yescharacteristic
1624C2#2603373611yescharacteristic
1625C2#2603380311yescharacteristic
1626C2#2603380711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2472C2
prime radicalC2×#19152104C2
hypercenter#2472D89
hypocenterC89#34813
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#19152150C2semidirect
3. #26024623C2semidirect
4. #26024619C2semidirect
5. #26024612C2semidirect
6. #26024608C2semidirect
7. #26024601C2semidirect
8. #26024597C2semidirect
9. #26024590C2semidirect
10. #26024586C2semidirect
11. #26024584C2semidirect
12. #26024580C2semidirect
13. #26024576C2semidirect
14. #26024572C2semidirect
15. #26024377C2semidirect
16. #26024375C2semidirect
17. #26024372C2semidirect
18. #26023540C2semidirect
19. #26023540C2semidirect
20. #26023537C2semidirect
21. #26023534C2semidirect
22. #26022799C2semidirect
23. #124×Dic89C2semidirect
24. #26022793C2semidirect
25. #26022793C2semidirect
26. #26022737C2semidirect
27. #26022737C2semidirect
28. #26022630C2semidirect
29. C4×#15667968C2semidirect
30. C2×C22⋊C4×Dic89C2semidirect
31. C89×#2472C2semidirect
35. C2×#15668011C22semidirect
36. C2×#15668010C22semidirect
37. C2×#15668002C22semidirect
38. C2×#15668002C22semidirect
53. C2×Q8×Dic89C22semidirect
54. C2×#15667977C22semidirect
55. C2×#15667977C22semidirect
56. C2×#15667977C22semidirect
67. #19151540C22semidirect
68. #19151540C22semidirect
69. #19151539C22semidirect
70. #19151539C22semidirect
71. #19151538C22semidirect
72. #19151538C22semidirect
73. #19151537C22semidirect
74. #19151537C22semidirect
77. #19151526C22semidirect
78. #19151526C22semidirect
79. #19151525C22semidirect
80. #19151524C22semidirect
88. #19151511C22semidirect
92. #19151510C22semidirect
93. #19151510C22semidirect
94. #19151509C22semidirect
95. #19151505C22semidirect
96. #19151504C22semidirect
97. #19151502C22semidirect
98. #19151502C22semidirect
99. #19151502C22semidirect
100. #19151502C22semidirect
101. #19151502C22semidirect
102. #19151502C22semidirect
106. #19151498C22semidirect
107. #19151498C22semidirect
108. #19151498C22semidirect
109. #19151498C22semidirect
114. #19151491C22semidirect
115. #19151491C22semidirect
116. #19151489C22semidirect
117. #19151489C22semidirect
118. #19151488C22semidirect
119. #19151488C22semidirect
122. #19151486C22semidirect
123. #19151486C22semidirect
130. #19151464C22semidirect
131. #19151463C22semidirect
132. #19151462C22semidirect
133. #19151462C22semidirect
141. C4×#13083553C22semidirect
142. C4×#13083553C22semidirect
143. #19151449C22semidirect
144. #19151449C22semidirect
159. C22⋊C4×Dic89C22semidirect
160. C22⋊C4×Dic89C22semidirect
161. C22⋊C4×Dic89C22semidirect
162. C22⋊C4×Dic89C22semidirect
164. #19151445C22semidirect
165. #19151445C22semidirect
166. #19151445C22semidirect
167. #19151445C22semidirect
168. #19151443C22semidirect
169. #19151443C22semidirect
172. C42×Dic89C22semidirect
173. C42×Dic89C22semidirect
494. C22⋊Dic89#41semidirect
584. C22⋊C4×C89#41semidirect
716. C2×Dic89#124semidirect
831. #2472D89semidirect
845. C89#34813semidirect
1378. C22⋊C4#13083573semidirect

Maximal subgroups

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

subgroupindex
C2×#191521502
C2×#191521042
#260246232
#260246192
#260246122
#260246082
#260246012
#260245972
#260245902
#260245862
#260245842
#260245802
#260245762
#260245722
#260243772
#260243752
#260243722
#260235402
#260235372
#260235342
#260227992
#124×Dic892
#260227932
#260227372
#260226302
C4×#156679682
C2×C22⋊C4×Dic892
C89×#24722
#3481389