Finite Group Databasebeta

← #36715734

Subgroups — #36715734

Order 22784.

2634 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152181C211yesmaximal, characteristic
2#26023384C211yesmaximal, characteristic, complemented
3#26023383C211yesmaximal, characteristic, complemented
4#26023378C211yesmaximal, characteristic, complemented
5#26023372C211yesmaximal, characteristic, complemented
6#26023368C211yesmaximal, characteristic, complemented
7#26023365C211yesmaximal, characteristic, complemented
8#26023362C211yesmaximal, characteristic, complemented
9#26023359C211yesmaximal, characteristic, complemented
10#26023323C211yesmaximal, characteristic, complemented
11#26023318C211yesmaximal, characteristic, complemented
12#26023302C211yesmaximal, characteristic, complemented
13#26023296C211yesmaximal, characteristic, complemented
14#26023290C211yesmaximal, characteristic, complemented
15#26023285C211yesmaximal, characteristic, complemented
16#26023244C211yesmaximal, characteristic, complemented
17#26023237C211yesmaximal, characteristic, complemented
18#26022983C211yesmaximal, characteristic, complemented
19#26022953C211yesmaximal, characteristic, complemented
20#26022915C211yesmaximal, characteristic, complemented
21#26022909C211yesmaximal, characteristic, complemented
22#26022847C211yesmaximal, characteristic, complemented
23#26022784C211yesmaximal, characteristic, complemented
24#26022762C211yesmaximal, characteristic, complemented
25#26022757C211yesmaximal, characteristic, complemented
26#26022753C211yesmaximal, characteristic, complemented
27#26022695C211yesmaximal, characteristic, complemented
28#26022613C211yesmaximal, characteristic, complemented
29#26022611C211yesmaximal, characteristic, complemented
30C2×C4×#13083551C211yesmaximal, characteristic, complemented
31C89×#2290C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33#19152181C4116yescomplemented
34C2×#15668007C2211yescharacteristic
35C2×#15668006C2211yescharacteristic
36C2×#15668000C2211yescharacteristic
37C2×#15667998C2211yescharacteristic
38C2×#15667997C2211yescharacteristic
39C2×#15667995C2211yescharacteristic
40C2×#15667989C2211yescharacteristic
41C2×#15667986C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667980C2211yescharacteristic
46C2×#15667977C2211yescharacteristic, complemented
47C2×D4×Dic89C2211yescharacteristic
48C2×D4×Dic89C2211yescharacteristic
49C2×#15667974C2211yescharacteristic
50C2×#15667974C2211yescharacteristic
51C2×C4×C22⋊D89C2211yescharacteristic
52C2×#15667972C2211yescharacteristic
53C2×#15667972C2211yescharacteristic
54C2×#15667972C2211yescharacteristic
55C2×#15667972C2211yescharacteristic
56C2×#15667972C2211yescharacteristic, complemented
57C2×#15667969C2211yescharacteristic, complemented
58C22×#13083551C2211yescharacteristic
59C22×#13083551C2211yescharacteristic
60C22×C4×Dic89C2211yescharacteristic
61#19151503C2211yescharacteristic, complemented
62#19151502C2211yescharacteristic, complemented
63#19151502C2211yescharacteristic, complemented
64#19151499C2211yescharacteristic
65#19151499C2211yescharacteristic
66#19151498C2211yescharacteristic
67#19151498C2211yescharacteristic
68#19151498C2211yescharacteristic, complemented
69#19151495C2211yescharacteristic, complemented
70#19151494C2211yescharacteristic, complemented
71#19151493C2211yescharacteristic, complemented
72#19151493C2211yescharacteristic, complemented
73#19151492C2211yescharacteristic, complemented
74#19151490C2211yescharacteristic
75#19151490C2211yescharacteristic
76#19151490C2211yescharacteristic, complemented
77#19151489C2211yescharacteristic
78#19151489C2211yescharacteristic
79#19151489C2211yescharacteristic
80#19151489C2211yescharacteristic
81#19151489C2211yescharacteristic, complemented
82#19151489C2211yescharacteristic, complemented
83#19151488C2211yescharacteristic
84#19151488C2211yescharacteristic
85#19151487C2211yescharacteristic
86#19151487C2211yescharacteristic
87#19151487C2211yescharacteristic
88#19151487C2211yescharacteristic
89#19151487C2211yescharacteristic
90#19151487C2211yescharacteristic
91#19151487C2211yescharacteristic
92#19151487C2211yescharacteristic
93#19151487C2211yescharacteristic, complemented
94#19151486C2211yescharacteristic, complemented
95#19151485C2211yescharacteristic, complemented
96#19151483C2211yescharacteristic, complemented
97#19151483C2211yescharacteristic, complemented
98#19151482C2211yescharacteristic, complemented
99#19151482C2211yescharacteristic, complemented
100#19151480C2211yescharacteristic, complemented
101#19151480C2211yescharacteristic, complemented
102#19151480C2211yescharacteristic, complemented
103#19151479C2211yescharacteristic, complemented
104#19151479C2211yescharacteristic, complemented
105#19151477C2211yescharacteristic
106#19151477C2211yescharacteristic
107#19151476C2211yescharacteristic
108#19151476C2211yescharacteristic
109#19151476C2211yescharacteristic
110#19151476C2211yescharacteristic
111#19151475C2211yescharacteristic
112#19151475C2211yescharacteristic
113#19151475C2211yescharacteristic, complemented
114#19151474C2211yescharacteristic
115#19151474C2211yescharacteristic
116#19151474C2211yescharacteristic, complemented
117#19151472C2211yescharacteristic
118#19151472C2211yescharacteristic
119#19151472C2211yescharacteristic, complemented
120#19151471C2211yescharacteristic
121#19151471C2211yescharacteristic
122#19151470C2211yescharacteristic, complemented
123#19151469C2211yescharacteristic
124#19151469C2211yescharacteristic
125#19151456C2211yescharacteristic
126#19151456C2211yescharacteristic
127#19151453C2211yescharacteristic
128#19151453C2211yescharacteristic
129C4⋊C4×Dic89C2211yescharacteristic, complemented
130C4⋊C4×Dic89C2211yescharacteristic, complemented
131C4⋊C4×Dic89C2211yescharacteristic, complemented
132C4×#13083553C2211yescharacteristic, complemented
133C4×#13083553C2211yescharacteristic, complemented
134C4×#13083553C2211yescharacteristic, complemented
135C4×C4⋊Dic89C2211yescharacteristic, complemented
136#19151449C2211yescharacteristic, complemented
137#19151449C2211yescharacteristic, complemented
138#19151449C2211yescharacteristic, complemented
139#19151449C2211yescharacteristic, complemented
140C22⋊C4×Dic89C2211yescharacteristic
141C22⋊C4×Dic89C2211yescharacteristic
142C22⋊C4×Dic89C2211yescharacteristic
143C22⋊C4×Dic89C2211yescharacteristic
144C22⋊C4×Dic89C2211yescharacteristic, complemented
145C22⋊C4×Dic89C2211yescharacteristic, complemented
146C22⋊C4×Dic89C2211yescharacteristic, complemented
147C4×#13083551C2211yescharacteristic
148C4×#13083551C2211yescharacteristic
149C4×#13083551C2211yescharacteristic
150C4×#13083551C2211yescharacteristic
151C4×#13083551C2211yescharacteristic
152C4×#13083551C2211yescharacteristic
153C4×#13083551C2211yescharacteristic
154C4×#13083551C2211yescharacteristic
155C4×#13083551C2211yescharacteristic, complemented
156C4×#13083551C2211yescharacteristic, complemented
157C4×#13083551C2211yescharacteristic, complemented
158C4×C22⋊Dic89C2211yescharacteristic
159C4×C22⋊Dic89C2211yescharacteristic, complemented
160#19151445C2211yescharacteristic
161#19151445C2211yescharacteristic
162#19151445C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic, complemented
166#19151444C2211yescharacteristic, complemented
167#19151444C2211yescharacteristic, complemented
168#19151443C2211yescharacteristic, complemented
169C2×#15667919C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic, complemented
172#95×D89C2211yescharacteristic, complemented
173C2×C4×D4×C89C2211yescharacteristic
174C2×#117×C89C2211yescharacteristic, complemented
175C22×C42×C89C2211yescharacteristic
176#388×C89C2211yescharacteristic, complemented
177#388×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184C4×C4⋊C4×C89C2211yescharacteristic, complemented
185C4×C22⋊C4×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic, complemented
187#376×C89C2211yescharacteristic, complemented
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89—24no—
202C22×C4×D89—42no—
203C22×C4×D89—42no—
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211#15668007C2×C418yescomplemented
212#15668006C2×C418yescomplemented
213#15668000C2×C418yescomplemented
214#15667998C2×C418yescomplemented
215#15667997C2×C418yescomplemented
216#15667995C2×C418yescomplemented
217#15667989C2×C418yescomplemented
218#15667986C2×C418yescomplemented
219#15667985C2×C418yescomplemented
220#15667984C2×C418yescomplemented
221#15667982C2×C418yescomplemented
222#15667980C2×C418yescomplemented
223#15667977—42no—
224D4×Dic89—24no—
225D4×Dic89—24no—
226#15667974—42no—
227#15667974—42no—
228C4×C22⋊D89C2×C418yescomplemented
229#15667972—24no—
230#15667972—24no—
231#15667972—42no—
232#15667972—42no—
233#15667972—42no—
234#15667969—42no—
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×#13083551—24no—
259C2×#13083551C2×C418yescomplemented
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
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×C4×Dic89—42no—
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C4×D4×C89C2×C418yescomplemented
344#117×C89—42no—
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C42×C89—42no—
359C2×C42×C89C2311yescharacteristic
360C2×C42×C89C2311yescharacteristic
361C2×C42×C89C2311yescharacteristic
362C2×C42×C89C2311yescharacteristic
363C2×C42×C89C2311yescharacteristic
364C2×C42×C89C2311yescharacteristic
365C2×C42×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369#95×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376C23×D89—22no—
377C23×D89—22no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89C22×C414yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C2×Dic178—41no—
387C2×Dic178—41no—
388C2×Dic178C22×C414yescomplemented
389C2×D356—41no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356C22×C414yes—
394C2×D356C22×C414yes—
395C2×C22⋊D89—22no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89C22×C414yes—
404C2×C22⋊D89C22×C414yes—
405C2×C22⋊D89C22×C414yes—
406C2×C22⋊D89C22×C414yescomplemented
407C22×Dic89—22no—
408C22×Dic89—22no—
409C22×Dic89—41no—
410C22×Dic89—41no—
411C22×Dic89—41no—
412C22×Dic89—41no—
413C22×Dic89—41no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89—41no—
419C22×Dic89C22×C414yes—
420C22×Dic89#4114yes—
421C22×Dic89#4114yes—
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—416no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89C22×C414yescomplemented
457C4⋊Dic89—22no—
458C4⋊Dic89—22no—
459C4⋊Dic89C22×C414yescomplemented
460#13083553—22no—
461#13083553—22no—
462#13083553—22no—
463#13083553—22no—
464#13083553—41no—
465#13083553—41no—
466#13083553—41no—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470#13083553C22×C414yescomplemented
471#13083553C22×C414yescomplemented
472#13083553C22×C414yescomplemented
473#13083553C22×C414yescomplemented
474C22⋊Dic89—22no—
475C22⋊Dic89—22no—
476C22⋊Dic89—22no—
477C22⋊Dic89—22no—
478C22⋊Dic89C22×C414yes—
479C22⋊Dic89C22×C414yescomplemented
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—41no—
489#13083551—41no—
490#13083551—41no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495#13083551—41no—
496#13083551—41no—
497#13083551—41no—
498#13083551C22×C414yes—
499#13083551C22×C414yes—
500#13083551C22×C414yes—
501#13083551C22×C414yes—
502#13083551C22×C414yes—
503#13083551C22×C414yes—
504#13083551C22×C414yes—
505#13083551C22×C414yes—
506#13083551C22×C414yescomplemented
507#13083551C22×C414yescomplemented
508C4×Dic89—22no—
509C4×Dic89—22no—
510C4×Dic89—22no—
511C4×Dic89—22no—
512C4×Dic89—22no—
513C4×Dic89—22no—
514C4×Dic89—41no—
515C4×Dic89—41no—
516C4×Dic89—41no—
517C4×Dic89—41no—
518C4×Dic89—41no—
519C4×Dic89—41no—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89C22×C414yescomplemented
527C24×C89C2411yescharacteristic
528C24×C89C2411yescharacteristic
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89C22×C414yes—
532C22×C4×C89—22no—
533C22×C4×C89—22no—
534C22×C4×C89—22no—
535C22×C4×C89—22no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89C22×C414yes—
543C22×C4×C89C22×C414yescomplemented
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C4⋊C4×C89—22no—
558C4⋊C4×C89—22no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C4⋊C4×C89C22×C414yescomplemented
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89C22×C414yes—
569C22⋊C4×C89C22×C414yescomplemented
570C42×C89—22no—
571C42×C89—22no—
572C42×C89—41no—
573C42×C89—41no—
574C42×C89—41no—
575C42×C89—41no—
576C42×C89C22×C414yescomplemented
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89C23×C412yes—
588C23×C89C23×C412yes—
589C23×C89C2×#4112yes—
590C23×C89C2×#4112yes—
591C23×C89C2511yescharacteristic
592C22×D89—28no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—21no—
598C22×D89—21no—
599C22×D89—21no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—44no—
612C22×D89—44no—
613C22×D89—44no—
614C22×D89—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89C23×C412yes—
618C22×D89C23×C412yes—
619C22×D89C23×C412yes—
620D4×C89—28no—
621C2×C4×C89—28no—
622C2×C4×C89—21no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—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—44no—
655C2×C4×C89—44no—
656C2×C4×C89—44no—
657C2×C4×C89C23×C412yes—
658C2×C4×C89C23×C412yes—
659C2×C4×C89C23×C412yes—
660C2×C4×C89C23×C412yes—
661C2×C4×C89C23×C412yes—
662C2×C4×C89H(5,𝔽2)12yes—
663C2×C4×C89H(5,𝔽2)12yes—
664C22⋊D89—28no—
665C22⋊D89—44no—
666C22⋊D89—44no—
667C22⋊D89—44no—
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—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—44no—
699C2×Dic89—44no—
700C2×Dic89—44no—
701C2×Dic89—82no—
702C2×Dic89—82no—
703C2×Dic89C23×C412yes—
704C2×Dic89C23×C412yes—
705C2×Dic89C23×C412yes—
706C2×Dic89C23×C412yes—
707C2×Dic89C23×C412yes—
708C2×Dic89C2×#4112yes—
709C2×Dic89C2×#4112yes—
710C2×Dic89C2×#4112yes—
711C2×Dic89C2×#4112yes—
712D356—44no—
713D356—44no—
714C4×D89—44no—
715C4×D89—44no—
716C4×D89—44no—
717C4×D89—44no—
718C4×D89—44no—
719C4×D89—82no—
720C4×D89—82no—
721Dic178—44no—
722C22×C89—22no—
723C22×C89—22no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89C4×#4114yes—
736C22×C89C24×C411yescharacteristic
737C22×C89C22×#4111yescharacteristic
738C22×C89C22×#4111yescharacteristic
739C22×C89C2×H(5,𝔽2)11yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89#58511yescharacteristic
742C22×C89#58511yescharacteristic
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—416no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C4×C89—22no—
766C4×C89—22no—
767C4×C89—22no—
768C4×C89—22no—
769C4×C89—22no—
770C4×C89—22no—
771C4×C89—22no—
772C4×C89—41no—
773C4×C89—41no—
774C4×C89—41no—
775C4×C89—41no—
776C4×C89—41no—
777C4×C89—41no—
778Dic89—22no—
779Dic89—22no—
780Dic89—22no—
781Dic89—22no—
782Dic89—22no—
783Dic89—22no—
784Dic89—22no—
785Dic89—22no—
786Dic89—22no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791#34277—891nomaximal, Sylow
792C2×C89—24no—
793C2×C89—42no—
794C2×C89C2×C4×#4111yescharacteristic
795C2×C89C4×H(5,𝔽2)11yescharacteristic
796C2×C89C4×H(5,𝔽2)11yescharacteristic
797C2×C89#349011yescharacteristic
798C2×C89#349311yescharacteristic
799C2×C89#350511yescharacteristic
800C2×C89#350611yescharacteristic
801D89—42no—
802D89—42no—
803D89—42no—
804C2×#538—891no—
805#2374—891no—
806#2374—891no—
807#2373—891no—
808#2373—891no—
809#2373—891no—
810#2373—891no—
811#2372—891no—
812#2372—891no—
813#2367—891no—
814#2367—891no—
815#2364—891no—
816#2364—891no—
817#2363—891no—
818#2363—891no—
819#2359—891no—
820#2359—891no—
821#2329—891no—
822#2325—891no—
823#2321—891no—
824#2321—891no—
825#2312—891no—
826C4×C22⋊Q8—891no—
827C4×#121—891no—
828C4×#120—891no—
829C4×#120—891no—
830#2290—891no—
831#2290D8911yescharacteristic, complemented
832#2275—891no—
833#2275—891no—
834C2×C4×C22⋊C4—891no—
835C89#3427711yescharacteristic, complemented, Sylow
836C24×C4—891no—
837#538—8916no—
838C2×#126—891no—
839C2×#126—891no—
840C2×#124—891no—
841C2×#124—891no—
842C2×#123—891no—
843C2×#123—891no—
844C2×C22⋊Q8—891no—
845C2×#121—891no—
846C2×#121—891no—
847C2×#121—891no—
848C2×#120—891no—
849C2×#120—891no—
850C2×C4×Q8—891no—
851C2×C4×D4—891no—
852C2×C4×D4—891no—
853C2×C4×D4—891no—
854C2×C4×D4—891no—
855C2×C4×D4—891no—
856C2×C4×D4—891no—
857C2×C4×D4—891no—
858C2×C4×D4—891no—
859C2×C4×D4—891no—
860C2×C4×D4—891no—
861C2×C4×D4C2×D8911yescharacteristic
862C2×#117—891no—
863C2×#117C2×D8911yescharacteristic, complemented
864C22×C22⋊C4—891no—
865C22×C22⋊C4—891no—
866C22×C42—891no—
867C22×C42C2×D8911yescharacteristic
868#391—891no—
869#391—891no—
870#391—891no—
871#390—891no—
872#390—891no—
873#390—891no—
874#390—891no—
875#390—891no—
876#389—891no—
877#389—891no—
878#389—891no—
879#389—891no—
880#388—891no—
881#388—891no—
882#388—891no—
883#388—891no—
884#388—891no—
885#388—891no—
886#388—891no—
887#388—891no—
888#388—891no—
889#388—891no—
890#388—891no—
891#388—891no—
892#388—891no—
893#388—891no—
894#388—891no—
895#388—891no—
896#388—891no—
897#388—891no—
898#388—891no—
899#388—891no—
900#388—891no—
901#388—891no—
902#388C2×D8911yescharacteristic, complemented
903#388C2×D8911yescharacteristic, complemented
904#387—891no—
905#387—891no—
906#387—891no—
907#387—891no—
908#387—891no—
909#387—891no—
910#387—891no—
911#387—891no—
912#387—891no—
913#387—891no—
914#387C2×D8911yescharacteristic, complemented
915#387C2×D8911yescharacteristic, complemented
916#386—891no—
917#386—891no—
918#386—891no—
919#386—891no—
920#386—891no—
921#386—891no—
922#386—891no—
923#386—891no—
924#386—891no—
925#386—891no—
926#386—891no—
927#386—891no—
928#386C2×D8911yescharacteristic
929#386C2×D8911yescharacteristic
930#385—891no—
931#385—891no—
932#385—891no—
933#385—891no—
934#385—891no—
935#385—891no—
936#385—891no—
937#385—891no—
938#385C2×D8911yescharacteristic
939#385C2×D8911yescharacteristic
940#380—891no—
941#380—891no—
942#379—891no—
943#379—891no—
944C4×C4⋊C4—891no—
945C4×C4⋊C4—891no—
946C4×C4⋊C4—891no—
947C4×C4⋊C4—891no—
948C4×C4⋊C4—891no—
949C4×C4⋊C4—891no—
950C4×C4⋊C4—891no—
951C4×C4⋊C4—891no—
952C4×C4⋊C4—891no—
953C4×C4⋊C4—891no—
954C4×C4⋊C4—891no—
955C4×C4⋊C4C2×D8911yescharacteristic, complemented
956C4×C22⋊C4—891no—
957C4×C22⋊C4—891no—
958C4×C22⋊C4—891no—
959C4×C22⋊C4—891no—
960C4×C22⋊C4—891no—
961C4×C22⋊C4—891no—
962C4×C22⋊C4—891no—
963C4×C22⋊C4—891no—
964C4×C22⋊C4—891no—
965C4×C22⋊C4—891no—
966C4×C22⋊C4—891no—
967C4×C22⋊C4—891no—
968C4×C22⋊C4—891no—
969C4×C22⋊C4—891no—
970C4×C22⋊C4—891no—
971C4×C22⋊C4—891no—
972C4×C22⋊C4—891no—
973C4×C22⋊C4—891no—
974C4×C22⋊C4—891no—
975C4×C22⋊C4—891no—
976C4×C22⋊C4—891no—
977C4×C22⋊C4—891no—
978C4×C22⋊C4—891no—
979C4×C22⋊C4—891no—
980C4×C22⋊C4—891no—
981C4×C22⋊C4—891no—
982C4×C22⋊C4C2×D8911yescharacteristic
983C4×C22⋊C4C2×D8911yescharacteristic, complemented
984#376—891no—
985#376—891no—
986#376—891no—
987#376C2×D8911yescharacteristic, complemented
988C2×#95—891no—
989C2×#95—891no—
990C2×#95—891no—
991C2×#95—891no—
992C25—891no—
993C22×Q8—891no—
994C22×D4—891no—
995C22×D4—891no—
996C22×D4—891no—
997C22×D4—891no—
998C22×D4—891no—
999C22×D4—891no—
1000C22×D4C22×D8911yescharacteristic
1001C23×C4—891no—
1002C23×C4—891no—
1003C23×C4—891no—
1004C23×C4—891no—
1005C23×C4—891no—
1006C23×C4—891no—
1007C23×C4—891no—
1008C23×C4—891no—
1009C23×C4—891no—
1010C23×C4—891no—
1011C23×C4—891no—
1012C23×C4—891no—
1013C23×C4—3562no—
1014C23×C4—3562no—
1015C23×C4—1784no—
1016C23×C4C22×D8911yescharacteristic
1017C23×C4C22×D8911yescharacteristic
1018C23×C4C22×D8911yescharacteristic
1019C23×C4C22×D8911yescharacteristic
1020#126—898no—
1021#126—898no—
1022#124—898no—
1023#124—898no—
1024#123—898no—
1025#123—898no—
1026C22⋊Q8—898no—
1027#121—898no—
1028#121—898no—
1029#121—898no—
1030#120—898no—
1031#120—898no—
1032C4×Q8—3562no—
1033C4×D4—898no—
1034C4×D4—3562no—
1035C4×D4—3562no—
1036C4×D4—3562no—
1037C4×D4—3562no—
1038C4×D4—3562no—
1039C4×D4—1784no—
1040C4×D4—1784no—
1041C4×D4—1784no—
1042C4×D4—1784no—
1043C4×D4C4×D8918yescomplemented
1044#117—42no—
1045#117—3562no—
1046C2×C4⋊C4—891no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4C22×D8911yescharacteristic
1064C2×C4⋊C4C22×D8911yescharacteristic
1065C2×C4⋊C4C22×D8911yescharacteristic
1066C2×C4⋊C4C22×D8911yescharacteristic
1067C2×C4⋊C4C22×D8911yescharacteristic
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—898no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊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—1784no—
1104C2×C22⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4C22×D8911yescharacteristic
1106C2×C22⋊C4C22×D8911yescharacteristic
1107C2×C22⋊C4C22×D8911yescharacteristic
1108C2×C22⋊C4C22×D8911yescharacteristic
1109C2×C22⋊C4C22×D8911yescharacteristic
1110C2×C22⋊C4C22×D8911yescharacteristic
1111C2×C22⋊C4C22×D8911yescharacteristic
1112C2×C42—42no—
1113C2×C42—891no—
1114C2×C42—891no—
1115C2×C42—891no—
1116C2×C42—891no—
1117C2×C42—891no—
1118C2×C42—891no—
1119C2×C42—891no—
1120C2×C42—891no—
1121C2×C42—891no—
1122C2×C42—891no—
1123C2×C42—891no—
1124C2×C42—891no—
1125C2×C42—891no—
1126C2×C42—891no—
1127C2×C42—891no—
1128C2×C42—891no—
1129C2×C42—891no—
1130C2×C42—891no—
1131C2×C42—891no—
1132C2×C42—3562no—
1133C2×C42C22×D8911yescharacteristic
1134C2×C42C22×D8911yescharacteristic
1135C2×C42C22×D8911yescharacteristic
1136C2×C42C22×D8911yescharacteristic
1137C2×C42C22×D8911yescharacteristic
1138C2×C42C22×D8911yescharacteristic
1139C2×C42C22×D8911yescharacteristic
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95C22×D8911yescharacteristic
1171#95C22×D8911yescharacteristic
1172#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180C24—894no—
1181C24—891no—
1182C24—891no—
1183C24—891no—
1184C24—3561no—
1185C24—3561no—
1186C24—3561no—
1187C24—3561no—
1188C24—1782no—
1189C24—1782no—
1190C24C23×D8911yescharacteristic
1191C24C23×D8911yescharacteristic
1192C2×Q8—894no—
1193C2×Q8—3561no—
1194C2×Q8—3561no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—894no—
1198C2×D4—894no—
1199C2×D4—894no—
1200C2×D4—894no—
1201C2×D4—894no—
1202C2×D4—894no—
1203C2×D4—3561no—
1204C2×D4—3561no—
1205C2×D4—3561no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—1782no—
1214C2×D4—1782no—
1215C2×D4C2×C4×D8914yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—894no—
1227C22×C4—894no—
1228C22×C4—894no—
1229C22×C4—891no—
1230C22×C4—891no—
1231C22×C4—891no—
1232C22×C4—891no—
1233C22×C4—891no—
1234C22×C4—891no—
1235C22×C4—891no—
1236C22×C4—891no—
1237C22×C4—891no—
1238C22×C4—894no—
1239C22×C4—891no—
1240C22×C4—891no—
1241C22×C4—891no—
1242C22×C4—891no—
1243C22×C4—35616no—
1244C22×C4—3561no—
1245C22×C4—3561no—
1246C22×C4—3561no—
1247C22×C4—3561no—
1248C22×C4—3561no—
1249C22×C4—3561no—
1250C22×C4—3561no—
1251C22×C4—3561no—
1252C22×C4—3561no—
1253C22×C4—3561no—
1254C22×C4—3561no—
1255C22×C4—3561no—
1256C22×C4—3561no—
1257C22×C4—3561no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—1782no—
1265C22×C4—1782no—
1266C22×C4—1782no—
1267C22×C4—1782no—
1268C22×C4—1782no—
1269C22×C4—1782no—
1270C22×C4—1782no—
1271C22×C4—1782no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4C2×C4×D8914yes—
1277C22×C4C2×C4×D8914yescomplemented
1278C22×C4C23×D8911yescharacteristic
1279C22×C4C23×D8911yescharacteristic
1280C22×C4C23×D8911yescharacteristic
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—894no—
1296C4⋊C4—894no—
1297C4⋊C4—894no—
1298C4⋊C4—894no—
1299C4⋊C4—894no—
1300C4⋊C4—3561no—
1301C4⋊C4—3561no—
1302C4⋊C4—3561no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
1305C4⋊C4—3561no—
1306C4⋊C4—1782no—
1307C4⋊C4—1782no—
1308C4⋊C4—1782no—
1309C4⋊C4—1782no—
1310C4⋊C4—1782no—
1311C4⋊C4—1782no—
1312C4⋊C4C2×C4×D8914yescomplemented
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—894no—
1320C22⋊C4—894no—
1321C22⋊C4—894no—
1322C22⋊C4—894no—
1323C22⋊C4—894no—
1324C22⋊C4—894no—
1325C22⋊C4—894no—
1326C22⋊C4—894no—
1327C22⋊C4—894no—
1328C22⋊C4—894no—
1329C22⋊C4—894no—
1330C22⋊C4—894no—
1331C22⋊C4—3561no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—1782no—
1342C22⋊C4—1782no—
1343C22⋊C4—1782no—
1344C22⋊C4—1782no—
1345C22⋊C4—1782no—
1346C22⋊C4—1782no—
1347C22⋊C4—1782no—
1348C22⋊C4—1782no—
1349C22⋊C4—1782no—
1350C22⋊C4—1782no—
1351C22⋊C4—1782no—
1352C22⋊C4—1782no—
1353C22⋊C4C2×C4×D8914yes—
1354C22⋊C4C2×C4×D8914yescomplemented
1355C42—22no—
1356C42—22no—
1357C42—41no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—894no—
1362C42—3561no—
1363C42—3561no—
1364C42—3561no—
1365C42—3561no—
1366C42—3561no—
1367C42—3561no—
1368C42—3561no—
1369C42—3561no—
1370C42—3561no—
1371C42—3561no—
1372C42—3561no—
1373C42—3561no—
1374C42—1782no—
1375C42—1782no—
1376C42—1782no—
1377C42—1782no—
1378C42—1782no—
1379C42—1782no—
1380C42C2×C4×D8914yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—892no—
1392C23—892no—
1393C23—892no—
1394C23—3564no—
1395C23—3564no—
1396C23—3564no—
1397C23—3564no—
1398C23—3564no—
1399C23—3564no—
1400C23—1781no—
1401C23—1781no—
1402C23—1781no—
1403C23—1781no—
1404C23—1781no—
1405C23—1781no—
1406C23—1781no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23—1788no—
1419C23C22×C4×D8912yes—
1420C23C22×C4×D8912yes—
1421C23#41×D8912yes—
1422C23#41×D8912yes—
1423C23C24×D8911yescharacteristic
1424Q8—3564no—
1425D4—28no—
1426D4—3564no—
1427D4—3564no—
1428D4—3564no—
1429D4—3564no—
1430D4—3564no—
1431D4—1788no—
1432C2×C4—28no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—892no—
1469C2×C4—892no—
1470C2×C4—892no—
1471C2×C4—892no—
1472C2×C4—892no—
1473C2×C4—892no—
1474C2×C4—892no—
1475C2×C4—892no—
1476C2×C4—892no—
1477C2×C4—3564no—
1478C2×C4—3564no—
1479C2×C4—3564no—
1480C2×C4—3564no—
1481C2×C4—3564no—
1482C2×C4—3564no—
1483C2×C4—3564no—
1484C2×C4—3564no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—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—7122no—
1516C2×C4—7122no—
1517C2×C4—7122no—
1518C2×C4—7122no—
1519C2×C4C22×C4×D8912yes—
1520C2×C4C22×C4×D8912yes—
1521C2×C4C22×C4×D8912yes—
1522C2×C4C22×C4×D8912yes—
1523C2×C4C22×C4×D8912yes—
1524C2×C4#1566805712yes—
1525C2×C4#1566805812yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—35616no—
1540C22—3561no—
1541C22—3561no—
1542C22—3561no—
1543C22—3561no—
1544C22—3561no—
1545C22—3561no—
1546C22—3561no—
1547C22—3561no—
1548C22—3561no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
1552C22—1782no—
1553C22—1782no—
1554C22—1782no—
1555C22—1782no—
1556C22—1782no—
1557C22—1782no—
1558C22—1782no—
1559C22—1782no—
1560C22—1782no—
1561C22#1915206614yes—
1562C22C23×C4×D8911yescharacteristic
1563C22C2×#41×D8911yescharacteristic
1564C22C2×#41×D8911yescharacteristic
1565C22C2×#1566805711yescharacteristic
1566C22C2×#1566805811yescharacteristic
1567C22#1915243411yescharacteristic
1568C22#1915243411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—3561no—
1583C4—3561no—
1584C4—3561no—
1585C4—3561no—
1586C4—1782no—
1587C4—1782no—
1588C4—1782no—
1589C4—1782no—
1590C4—1782no—
1591C4—1782no—
1592C4—1782no—
1593C4—1782no—
1594C4—1782no—
1595C2—24no—
1596C2—42no—
1597C2—3562no—
1598C2—3562no—
1599C2—3562no—
1600C2C2×#1915206611yescharacteristic
1601C2C4×#1566805711yescharacteristic
1602C2C4×#1566805811yescharacteristic
1603C2#2603393511yescharacteristic
1604C2#2603396411yescharacteristic
1605C2#2603408711yescharacteristic
1606C2#2603409511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2290C2
socle, cosocleC23×C89C25
prime radicalC2×#19152181C2
hypercenter#2290D89
hypocenterC89#34277
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
2. #26023384C2semidirect
3. #26023383C2semidirect
4. #26023378C2semidirect
5. #26023372C2semidirect
6. #26023368C2semidirect
7. #26023365C2semidirect
8. #26023362C2semidirect
9. #26023359C2semidirect
10. #26023323C2semidirect
11. #26023318C2semidirect
12. #26023302C2semidirect
13. #26023296C2semidirect
14. #26023290C2semidirect
15. #26023285C2semidirect
16. #26023244C2semidirect
17. #26023237C2semidirect
18. #26022983C2semidirect
19. #26022953C2semidirect
20. #26022915C2semidirect
21. #26022909C2semidirect
22. #26022847C2semidirect
23. #26022784C2semidirect
24. #26022762C2semidirect
25. #26022757C2semidirect
26. #26022753C2semidirect
27. #26022695C2semidirect
28. #26022613C2semidirect
29. #26022611C2semidirect
30. C2×C4×#13083551C2semidirect
31. C89×#2290C2semidirect
33. #19152181C4semidirect
46. C2×#15667977C22semidirect
56. C2×#15667972C22semidirect
57. C2×#15667969C22semidirect
61. #19151503C22semidirect
62. #19151502C22semidirect
63. #19151502C22semidirect
68. #19151498C22semidirect
69. #19151495C22semidirect
70. #19151494C22semidirect
71. #19151493C22semidirect
72. #19151493C22semidirect
73. #19151492C22semidirect
76. #19151490C22semidirect
81. #19151489C22semidirect
82. #19151489C22semidirect
93. #19151487C22semidirect
94. #19151486C22semidirect
95. #19151485C22semidirect
96. #19151483C22semidirect
97. #19151483C22semidirect
98. #19151482C22semidirect
99. #19151482C22semidirect
100. #19151480C22semidirect
101. #19151480C22semidirect
102. #19151480C22semidirect
103. #19151479C22semidirect
104. #19151479C22semidirect
113. #19151475C22semidirect
116. #19151474C22semidirect
119. #19151472C22semidirect
122. #19151470C22semidirect
129. C4⋊C4×Dic89C22semidirect
130. C4⋊C4×Dic89C22semidirect
131. C4⋊C4×Dic89C22semidirect
132. C4×#13083553C22semidirect
133. C4×#13083553C22semidirect
134. C4×#13083553C22semidirect
135. C4×C4⋊Dic89C22semidirect
136. #19151449C22semidirect
137. #19151449C22semidirect
138. #19151449C22semidirect
139. #19151449C22semidirect
144. C22⋊C4×Dic89C22semidirect
145. C22⋊C4×Dic89C22semidirect
146. C22⋊C4×Dic89C22semidirect
155. C4×#13083551C22semidirect
156. C4×#13083551C22semidirect
157. C4×#13083551C22semidirect
159. C4×C22⋊Dic89C22semidirect
164. #19151445C22semidirect
165. #19151445C22semidirect
166. #19151444C22semidirect
167. #19151444C22semidirect
168. #19151443C22semidirect
171. C2×#15667919C22semidirect
172. #95×D89C22semidirect
174. C2×#117×C89C22semidirect
176. #388×C89C22semidirect
177. #388×C89C22semidirect
178. #387×C89C22semidirect
179. #387×C89C22semidirect
184. C4×C4⋊C4×C89C22semidirect
186. C4×C22⋊C4×C89C22semidirect
187. #376×C89C22semidirect
211. #15668007C2×C4semidirect
212. #15668006C2×C4semidirect
213. #15668000C2×C4semidirect
214. #15667998C2×C4semidirect
215. #15667997C2×C4semidirect
216. #15667995C2×C4semidirect
217. #15667989C2×C4semidirect
218. #15667986C2×C4semidirect
219. #15667985C2×C4semidirect
220. #15667984C2×C4semidirect
221. #15667982C2×C4semidirect
222. #15667980C2×C4semidirect
228. C4×C22⋊D89C2×C4semidirect
259. C2×#13083551C2×C4semidirect
343. C4×D4×C89C2×C4semidirect
388. C2×Dic178C22×C4semidirect
406. C2×C22⋊D89C22×C4semidirect
456. C2×C4×D89C22×C4semidirect
459. C4⋊Dic89C22×C4semidirect
470. #13083553C22×C4semidirect
471. #13083553C22×C4semidirect
472. #13083553C22×C4semidirect
473. #13083553C22×C4semidirect
479. C22⋊Dic89C22×C4semidirect
506. #13083551C22×C4semidirect
507. #13083551C22×C4semidirect
526. C4×Dic89C22×C4semidirect
543. C22×C4×C89C22×C4semidirect
561. C4⋊C4×C89C22×C4semidirect
569. C22⋊C4×C89C22×C4semidirect
576. C42×C89C22×C4semidirect
831. #2290D89semidirect
835. C89#34277semidirect
863. C2×#117C2×D89semidirect
902. #388C2×D89semidirect
903. #388C2×D89semidirect
914. #387C2×D89semidirect
915. #387C2×D89semidirect
955. C4×C4⋊C4C2×D89semidirect
983. C4×C22⋊C4C2×D89semidirect
987. #376C2×D89semidirect
1043. C4×D4C4×D89semidirect
1277. C22×C4C2×C4×D89semidirect
1312. C4⋊C4C2×C4×D89semidirect
1354. C22⋊C4C2×C4×D89semidirect
1380. C42C2×C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521812
#260233842
#260233832
#260233782
#260233722
#260233682
#260233652
#260233622
#260233592
#260233232
#260233182
#260233022
#260232962
#260232902
#260232852
#260232442
#260232372
#260229832
#260229532
#260229152
#260229092
#260228472
#260227842
#260227622
#260227572
#260227532
#260226952
#260226132
#260226112
C2×C4×#130835512
C89×#22902
#3427789