Finite Group Databasebeta

← #36718367

Subgroups — #36718367

Order 22784.

2522 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×#19152177C211yesmaximal, characteristic
2#26023419C211yesmaximal, characteristic, complemented
3#26023416C211yesmaximal, characteristic, complemented
4#26023410C211yesmaximal, characteristic, complemented
5#26023409C211yesmaximal, characteristic, complemented
6#26023334C211yesmaximal, characteristic, complemented
7#26023330C211yesmaximal, characteristic, complemented
8#26023303C211yesmaximal, characteristic, complemented
9#26023301C211yesmaximal, characteristic, complemented
10#26023297C211yesmaximal, characteristic, complemented
11#26023265C211yesmaximal, characteristic, complemented
12#26023264C211yesmaximal, characteristic, complemented
13#26023083C211yesmaximal, characteristic, complemented
14#26023079C211yesmaximal, characteristic, complemented
15#26023078C211yesmaximal, characteristic, complemented
16#26023078C211yesmaximal, characteristic, complemented
17#26023018C211yesmaximal, characteristic, complemented
18#26023013C211yesmaximal, characteristic, complemented
19#26023008C211yesmaximal, characteristic, complemented
20#26023002C211yesmaximal, characteristic, complemented
21#26022985C211yesmaximal, characteristic, complemented
22#26022980C211yesmaximal, characteristic, complemented
23#26022956C211yesmaximal, characteristic, complemented
24#26022954C211yesmaximal, characteristic, complemented
25#26022954C211yesmaximal, characteristic, complemented
26#26022950C211yesmaximal, characteristic, complemented
27#26022851C211yesmaximal, characteristic, complemented
28C4×#15667985C211yesmaximal, characteristic, complemented
29C4×#15667983C211yesmaximal, characteristic, complemented
30#387×D89C211yesmaximal, characteristic, complemented
31C89×#2364C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C22×#13083573C2211yescharacteristic
34#19152177C4116yescomplemented
35C2×#15667992C2211yescharacteristic
36C2×#15667991C2211yescharacteristic
37C2×#15667989C2211yescharacteristic
38C2×#15667989C2211yescharacteristic
39C2×#15667985C2211yescharacteristic
40C2×#15667985C2211yescharacteristic
41C2×#15667984C2211yescharacteristic
42C2×#15667984C2211yescharacteristic
43C2×#15667983C2211yescharacteristic
44C2×#15667983C2211yescharacteristic
45C2×#15667983C2211yescharacteristic
46C2×C4×D356C2211yescharacteristic
47C2×C4×D356C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C2×C4×C22⋊D89C2211yescharacteristic
51C2×C4×C22⋊D89C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×#15667972C2211yescharacteristic
54C2×#15667972C2211yescharacteristic
55C2×#15667972C2211yescharacteristic
56C2×C4⋊C4×D89C2211yescharacteristic
57C2×C4⋊C4×D89C2211yescharacteristic
58C2×C42×D89C2211yescharacteristic
59#19151504C2211yescharacteristic
60#19151504C2211yescharacteristic
61#19151502C2211yescharacteristic
62#19151502C2211yescharacteristic
63#19151502C2211yescharacteristic
64#19151502C2211yescharacteristic
65#19151502C2211yescharacteristic
66#19151502C2211yescharacteristic
67#19151501C2211yescharacteristic
68#19151501C2211yescharacteristic
69#19151498C2211yescharacteristic
70#19151498C2211yescharacteristic
71#19151496C2211yescharacteristic
72#19151495C2211yescharacteristic
73#19151495C2211yescharacteristic
74#19151494C2211yescharacteristic
75#19151492C2211yescharacteristic
76#19151492C2211yescharacteristic
77#19151492C2211yescharacteristic
78#19151492C2211yescharacteristic
79#19151491C2211yescharacteristic
80#19151491C2211yescharacteristic
81#19151490C2211yescharacteristic
82#19151489C2211yescharacteristic
83#19151488C2211yescharacteristic
84#19151487C2211yescharacteristic
85#19151486C2211yescharacteristic
86#19151486C2211yescharacteristic
87#19151486C2211yescharacteristic
88#19151486C2211yescharacteristic
89#19151485C2211yescharacteristic
90#19151485C2211yescharacteristic
91#19151485C2211yescharacteristic
92#19151485C2211yescharacteristic
93#19151484C2211yescharacteristic
94#19151484C2211yescharacteristic
95#19151483C2211yescharacteristic
96#19151483C2211yescharacteristic
97#19151483C2211yescharacteristic
98#19151483C2211yescharacteristic
99#19151482C2211yescharacteristic
100#19151482C2211yescharacteristic
101#19151482C2211yescharacteristic
102#19151482C2211yescharacteristic
103#19151481C2211yescharacteristic
104#19151481C2211yescharacteristic
105#19151481C2211yescharacteristic
106#19151481C2211yescharacteristic
107#19151480C2211yescharacteristic
108#19151480C2211yescharacteristic
109#19151479C2211yescharacteristic
110#19151479C2211yescharacteristic
111#19151478C2211yescharacteristic
112#19151478C2211yescharacteristic
113#19151478C2211yescharacteristic
114#19151478C2211yescharacteristic
115#19151477C2211yescharacteristic
116#19151477C2211yescharacteristic
117#19151477C2211yescharacteristic
118#19151476C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151475C2211yescharacteristic
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151474C2211yescharacteristic
124#19151474C2211yescharacteristic
125#19151474C2211yescharacteristic
126#19151474C2211yescharacteristic
127#19151474C2211yescharacteristic
128#19151474C2211yescharacteristic
129#19151474C2211yescharacteristic
130#19151474C2211yescharacteristic
131#19151473C2211yescharacteristic
132#19151473C2211yescharacteristic
133#19151472C2211yescharacteristic
134#19151471C2211yescharacteristic
135#19151471C2211yescharacteristic
136#19151471C2211yescharacteristic
137#19151470C2211yescharacteristic
138#19151469C2211yescharacteristic
139#19151461C2211yescharacteristic
140#19151460C2211yescharacteristic
141#19151460C2211yescharacteristic
142#19151460C2211yescharacteristic
143#19151459C2211yescharacteristic
144#19151459C2211yescharacteristic
145#19151458C2211yescharacteristic
146#19151457C2211yescharacteristic
147#19151457C2211yescharacteristic
148#19151456C2211yescharacteristic
149#19151456C2211yescharacteristic
150#19151455C2211yescharacteristic
151C4⋊C4×Dic89C2211yescharacteristic
152C4×#13083553C2211yescharacteristic
153C4×#13083553C2211yescharacteristic
154C4×C4⋊Dic89C2211yescharacteristic
155C22⋊C4×Dic89C2211yescharacteristic
156C22⋊C4×Dic89C2211yescharacteristic
157C22⋊C4×Dic89C2211yescharacteristic
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic
160C4×C22⋊Dic89C2211yescharacteristic
161C4×C22⋊Dic89C2211yescharacteristic
162C4×C22⋊Dic89C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic
166C2×#15667919C2211yescharacteristic
167C2×#15667919C2211yescharacteristic
168#95×D89C2211yescharacteristic
169#95×D89C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#95×D89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×C4×D4×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic
176#388×C89C2211yescharacteristic
177#388×C89C2211yescharacteristic
178#387×C89C2211yescharacteristic
179#387×C89C2211yescharacteristic
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184C4×C22⋊C4×C89C2211yescharacteristic
185C4×C22⋊C4×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C2×#95×C89C2211yescharacteristic
188C2×#13083574—42no—
189C2×#13083574—42no—
190C2×#13083574C2×C418yescomplemented
191C2×#13083573—42no—
192C2×#13083573—42no—
193C2×#13083573C2×C418yescomplemented
194C22×Dic178C2311yescharacteristic
195C22×Dic178C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217#15667992C2×C418yescomplemented
218#15667991C2×C418yescomplemented
219#15667989C2×C418yescomplemented
220#15667989C2×C418yescomplemented
221#15667985C2×C418yescomplemented
222#15667985C2×C418yescomplemented
223#15667984C2×C418yescomplemented
224#15667984C2×C418yescomplemented
225#15667983C2×C418yescomplemented
226#15667983C2×C418yescomplemented
227#15667983C2×C418yescomplemented
228C4×D356—42no—
229C4×D356—42no—
230C4×C22⋊D89—42no—
231C4×C22⋊D89—42no—
232C4×C22⋊D89—42no—
233C4×C22⋊D89—42no—
234C4×C22⋊D89—42no—
235#15667972—42no—
236#15667972—42no—
237#15667972—42no—
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C4⋊C4×D89—42no—
260C4⋊C4×D89C2×C418yescomplemented
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×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C42×D89—42no—
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
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C22×D4×C89C2311yescharacteristic
340C22×D4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344C23×C4×C89C2311yescharacteristic
345C23×C4×C89C2311yescharacteristic
346#121×C89C2×C418yescomplemented
347C4×D4×C89—42no—
348C4×D4×C89—42no—
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×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×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378#13083574—416no—
379#13083573—416no—
380C2×Dic178—41no—
381C2×Dic178—41no—
382C2×Dic178—41no—
383C2×Dic178—41no—
384C2×Dic178C22×C414yes—
385C2×Dic178C22×C414yes—
386C2×D356—22no—
387C2×D356—22no—
388C2×D356C22×C414yes—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—22no—
391C2×C22⋊D89—22no—
392C2×C22⋊D89—22no—
393C2×C22⋊D89—22no—
394C2×C22⋊D89—22no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401C2×C22⋊D89C22×C414yes—
402C2×C22⋊D89C22×C414yes—
403C2×C22⋊D89C22×C414yes—
404C2×C22⋊D89C22×C414yes—
405C2×C22⋊D89C22×C414yes—
406C2×C22⋊D89C22×C414yes—
407C22×Dic89—41no—
408C22×Dic89—41no—
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×Dic89C22×C414yes—
418C22×Dic89C22×C414yes—
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C2×C4×D89—22no—
434C2×C4×D89—22no—
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—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
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—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89C22×C414yes—
460C2×C4×D89C22×C414yes—
461C2×C4×D89C22×C414yes—
462C2×C4×D89C22×C414yes—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465C4⋊Dic89—41no—
466C4⋊Dic89—41no—
467C4⋊Dic89C22×C414yes—
468C4⋊Dic89C22×C414yes—
469C4⋊Dic89C22×C414yes—
470#13083553—22no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478#13083553—41no—
479#13083553—41no—
480#13083553C22×C414yes—
481#13083553C22×C414yes—
482#13083553C22×C414yes—
483#13083553C22×C414yes—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
491C22⋊Dic89—41no—
492C22⋊Dic89—41no—
493C22⋊Dic89—41no—
494C22⋊Dic89C22×C414yes—
495C22⋊Dic89C22×C414yes—
496C22⋊Dic89C22×C414yes—
497C22⋊Dic89C22×C414yes—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—22no—
502#13083551—22no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551C22×C414yes—
509#13083551C22×C414yes—
510C4×Dic89—22no—
511C4×Dic89—41no—
512C4×Dic89—41no—
513C4×Dic89—41no—
514C4×Dic89—41no—
515C4×Dic89—41no—
516C4×Dic89—41no—
517C4×Dic89—41no—
518C4×Dic89—41no—
519C4×Dic89—41no—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C24×C89C2411yescharacteristic
523C24×C89C2411yescharacteristic
524C24×C89C2411yescharacteristic
525C2×D4×C89—41no—
526C2×D4×C89—41no—
527C2×D4×C89—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C2×D4×C89C22×C414yes—
532C2×D4×C89C22×C414yes—
533C2×D4×C89C22×C414yes—
534C22×C4×C89—22no—
535C22×C4×C89—22no—
536C22×C4×C89—22no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89—41no—
543C22×C4×C89—41no—
544C22×C4×C89—41no—
545C22×C4×C89—41no—
546C22×C4×C89—41no—
547C22×C4×C89—41no—
548C22×C4×C89C22×C414yes—
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C4⋊C4×C89—22no—
562C4⋊C4×C89—41no—
563C4⋊C4×C89C22×C414yes—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89C22×C414yes—
573C22⋊C4×C89C22×C414yes—
574C42×C89—22no—
575C42×C89—41no—
576C42×C89—41no—
577C42×C89—41no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89C23×C412yes—
597C23×C89C23×C412yes—
598C23×C89C23×C412yes—
599C23×C89C2511yescharacteristic
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89C23×C412yes—
611C22×D89C23×C412yes—
612C22×D89H(5,𝔽2)12yes—
613C22×D89H(5,𝔽2)12yes—
614D4×C89—44no—
615D4×C89—44no—
616D4×C89—44no—
617C2×C4×C89—21no—
618C2×C4×C89—21no—
619C2×C4×C89—21no—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—44no—
648C2×C4×C89—82no—
649C2×C4×C89—82no—
650C2×C4×C89—82no—
651C2×C4×C89—82no—
652C2×C4×C89C23×C412yes—
653C2×C4×C89C23×C412yes—
654C2×C4×C89C23×C412yes—
655C2×C4×C89C23×C412yes—
656C2×C4×C89H(5,𝔽2)12yes—
657C2×C4×C892−1+412yes—
658C22⋊D89—28no—
659C22⋊D89—28no—
660C22⋊D89—28no—
661C22⋊D89—44no—
662C22⋊D89—44no—
663C22⋊D89—44no—
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—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—44no—
701C2×Dic89—44no—
702C2×Dic89—82no—
703C2×Dic89—82no—
704C2×Dic89C23×C412yes—
705C2×Dic89C23×C412yes—
706C2×Dic89C23×C412yes—
707C2×Dic89C23×C412yes—
708C2×Dic89C23×C412yes—
709C2×Dic89C23×C412yes—
710D356—28no—
711C4×D89—28no—
712C4×D89—44no—
713C4×D89—44no—
714C4×D89—44no—
715C4×D89—44no—
716C4×D89—44no—
717C4×D89—82no—
718C4×D89—82no—
719C4×D89—82no—
720C4×D89—82no—
721Dic178—44no—
722Dic178—44no—
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—22no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89C24×C411yescharacteristic
745C22×C89C2×H(5,𝔽2)11yescharacteristic
746C22×C89C2×H(5,𝔽2)11yescharacteristic
747C22×C89C2×H(5,𝔽2)11yescharacteristic
748C22×C89C2×2−1+411yescharacteristic
749C22×C89#58511yescharacteristic
750C22×C89#58511yescharacteristic
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—22no—
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—22no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89#51814yes—
765C4×C89—22no—
766C4×C89—22no—
767C4×C89—22no—
768C4×C89—22no—
769C4×C89—22no—
770C4×C89—22no—
771C4×C89—41no—
772C4×C89—41no—
773C4×C89—41no—
774C4×C89—41no—
775C4×C89—41no—
776C4×C89—41no—
777Dic89—22no—
778Dic89—22no—
779Dic89—22no—
780Dic89—22no—
781Dic89—22no—
782Dic89—22no—
783Dic89—41no—
784Dic89—41no—
785Dic89—41no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791#34436—891nomaximal, Sylow
792C2×C89—42no—
793C2×C89—42no—
794C2×C89—42no—
795C2×C89C2×#51811yescharacteristic
796C2×C89C4×H(5,𝔽2)11yescharacteristic
797C2×C89C4×2−1+411yescharacteristic
798C2×C89#353411yescharacteristic
799C2×C89#353611yescharacteristic
800C2×C89#355911yescharacteristic
801C2×C89#356011yescharacteristic
802D89—24no—
803D89—42no—
804C2×#537—891no—
805#2378—891no—
806#2378—891no—
807#2377—891no—
808#2377—891no—
809#2368—891no—
810#2368—891no—
811#2364—891no—
812#2364—891no—
813#2364—891no—
814#2364D8911yescharacteristic, complemented
815#2361—891no—
816#2361—891no—
817#2339—891no—
818#2339—891no—
819#2339—891no—
820#2339—891no—
821#2333—891no—
822#2333—891no—
823#2332—891no—
824#2332—891no—
825#2329—891no—
826#2329—891no—
827#2325—891no—
828#2325—891no—
829#2325—891no—
830#2325—891no—
831#2313—891no—
832C4×#121—891no—
833C4×#121—891no—
834C2×#387—891no—
835C89#3443611yescharacteristic, complemented, Sylow
836C22×#41—891no—
837C22×#41—891no—
838#537—8916no—
839C2×C22⋊Q8—891no—
840C2×C22⋊Q8—891no—
841C2×C22⋊Q8—891no—
842C2×C22⋊Q8—891no—
843C2×#121—891no—
844C2×#121—891no—
845C2×#121—891no—
846C2×#121—891no—
847C2×#121—891no—
848C2×#121—891no—
849C2×#121—891no—
850C2×#121C2×D8911yescharacteristic
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×C4×D4C2×D8911yescharacteristic
863C22×C4⋊C4—891no—
864C22×C4⋊C4—891no—
865C22×C42—891no—
866#391—891no—
867#391—891no—
868#391—891no—
869#391—891no—
870#391—891no—
871#391—891no—
872#391—891no—
873#391—891no—
874#390—891no—
875#390—891no—
876#390—891no—
877#390—891no—
878#389—891no—
879#389—891no—
880#389—891no—
881#389—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#388C2×D8911yescharacteristic
897#388C2×D8911yescharacteristic
898#387—891no—
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#387—891no—
908#387—891no—
909#387—891no—
910#387—891no—
911#387—891no—
912#387—891no—
913#387—891no—
914#387—891no—
915#387—891no—
916#387—891no—
917#387—891no—
918#387—891no—
919#387—891no—
920#387C2×D8911yescharacteristic
921#387C2×D8911yescharacteristic
922#386—891no—
923#386—891no—
924#386—891no—
925#386—891no—
926#386—891no—
927#386—891no—
928#386—891no—
929#386—891no—
930#386—891no—
931#386—891no—
932#386—891no—
933#386—891no—
934#386—891no—
935#386—891no—
936#386—891no—
937#386—891no—
938#386—891no—
939#386—891no—
940#386—891no—
941#386—891no—
942#386C2×D8911yescharacteristic
943#386C2×D8911yescharacteristic
944#386C2×D8911yescharacteristic
945#386C2×D8911yescharacteristic
946#385—891no—
947#385—891no—
948#385—891no—
949#385—891no—
950#385—891no—
951#385—891no—
952#385—891no—
953#385—891no—
954#381—891no—
955#381—891no—
956#381—891no—
957#381—891no—
958#381—891no—
959#381—891no—
960#380—891no—
961#380—891no—
962#380—891no—
963#380—891no—
964#380—891no—
965#380—891no—
966C4×C4⋊C4—891no—
967C4×C4⋊C4—891no—
968C4×C4⋊C4—891no—
969C4×C4⋊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⋊C4C2×D8911yescharacteristic
982C4×C22⋊C4C2×D8911yescharacteristic
983C4×C22⋊C4C2×D8911yescharacteristic
984C2×#95—891no—
985C2×#95—891no—
986C2×#95—891no—
987C2×#95—891no—
988C2×#95—891no—
989C2×#95—891no—
990C2×#95—891no—
991C2×#95C2×D8911yescharacteristic
992C2×#41—898no—
993C2×#41—898no—
994C2×#41—3562no—
995C2×#41—3562no—
996C2×#41—3562no—
997C2×#41—3562no—
998C22×Q8—891no—
999C22×Q8—891no—
1000C22×D4—891no—
1001C22×D4—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4C22×D8911yescharacteristic
1008C22×D4C22×D8911yescharacteristic
1009C22×D4C22×D8911yescharacteristic
1010C23×C4—891no—
1011C23×C4—891no—
1012C23×C4—891no—
1013C23×C4—891no—
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026C23×C4C22×D8911yescharacteristic
1027C23×C4C22×D8911yescharacteristic
1028C23×C4C22×D8911yescharacteristic
1029C22⋊Q8—898no—
1030C22⋊Q8—898no—
1031C22⋊Q8—898no—
1032C22⋊Q8—898no—
1033#121—898no—
1034#121—898no—
1035#121—898no—
1036#121—898no—
1037#121—898no—
1038#121—898no—
1039#121—898no—
1040#121C4×D8918yescomplemented
1041C4×D4—42no—
1042C4×D4—42no—
1043C4×D4—3562no—
1044C4×D4—3562no—
1045C4×D4—3562no—
1046C4×D4—3562no—
1047C4×D4—3562no—
1048C4×D4—3562no—
1049C4×D4—3562no—
1050C4×D4—3562no—
1051C4×D4—3562no—
1052C4×D4—3562no—
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—898no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—3562no—
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1104C2×C22⋊C4—891no—
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×C22⋊C4C22×D8911yescharacteristic
1113C2×C22⋊C4C22×D8911yescharacteristic
1114C2×C22⋊C4C22×D8911yescharacteristic
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—3562no—
1128C2×C42C22×D8911yescharacteristic
1129C2×C42C22×D8911yescharacteristic
1130C2×C42C22×D8911yescharacteristic
1131C2×C42C22×D8911yescharacteristic
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#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—891no—
1181C24—891no—
1182C24C23×D8911yescharacteristic
1183C24C23×D8911yescharacteristic
1184C24C23×D8911yescharacteristic
1185#41—35616no—
1186#41—35616no—
1187C2×Q8—894no—
1188C2×Q8—894no—
1189C2×Q8—3561no—
1190C2×Q8—3561no—
1191C2×Q8—3561no—
1192C2×Q8—3561no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—894no—
1200C2×D4—894no—
1201C2×D4—894no—
1202C2×D4—894no—
1203C2×D4—894no—
1204C2×D4—894no—
1205C2×D4—894no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—1782no—
1213C2×D4—1782no—
1214C2×D4—1782no—
1215C2×D4—1782no—
1216C2×D4—1782no—
1217C2×D4—1782no—
1218C2×D4—1782no—
1219C2×D4—1782no—
1220C2×D4C2×C4×D8914yes—
1221C2×D4C2×C4×D8914yes—
1222C2×D4C2×C4×D8914yes—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—894no—
1238C22×C4—894no—
1239C22×C4—891no—
1240C22×C4—891no—
1241C22×C4—891no—
1242C22×C4—891no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—894no—
1246C22×C4—894no—
1247C22×C4—894no—
1248C22×C4—894no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—3561no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—3561no—
1279C22×C4—3561no—
1280C22×C4—3561no—
1281C22×C4—3561no—
1282C22×C4—3561no—
1283C22×C4—3561no—
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×C4C2×C4×D8914yes—
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—894no—
1309C4⋊C4—894no—
1310C4⋊C4—894no—
1311C4⋊C4—894no—
1312C4⋊C4—894no—
1313C4⋊C4—894no—
1314C4⋊C4—894no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—3561no—
1327C4⋊C4—3561no—
1328C4⋊C4—1782no—
1329C4⋊C4C2×C4×D8914yes—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—894no—
1339C22⋊C4—894no—
1340C22⋊C4—894no—
1341C22⋊C4—894no—
1342C22⋊C4—894no—
1343C22⋊C4—894no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
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—3561no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4C2×C4×D8914yes—
1365C22⋊C4C2×C4×D8914yes—
1366C42—22no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—3561no—
1371C42—3561no—
1372C42—3561no—
1373C42—3561no—
1374C42—3561no—
1375C42—3561no—
1376C42—3561no—
1377C42—3561no—
1378C42—3561no—
1379C42—3561no—
1380C42—3561no—
1381C42—1782no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—892no—
1401C23—892no—
1402C23—892no—
1403C23—892no—
1404C23—1781no—
1405C23—1781no—
1406C23—1781no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23C22×C4×D8912yes—
1415C23C22×C4×D8912yes—
1416C23C22×C4×D8912yes—
1417C23C24×D8911yescharacteristic
1418Q8—3564no—
1419Q8—3564no—
1420D4—44no—
1421D4—44no—
1422D4—44no—
1423D4—3564no—
1424D4—3564no—
1425D4—3564no—
1426D4—1788no—
1427D4—1788no—
1428D4—1788no—
1429D4—1788no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—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—44no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—892no—
1466C2×C4—892no—
1467C2×C4—892no—
1468C2×C4—892no—
1469C2×C4—892no—
1470C2×C4—892no—
1471C2×C4—3564no—
1472C2×C4—3564no—
1473C2×C4—3564no—
1474C2×C4—3564no—
1475C2×C4—3564no—
1476C2×C4—3564no—
1477C2×C4—3564no—
1478C2×C4—1788no—
1479C2×C4—1781no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—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×C4—7122no—
1520C2×C4—7122no—
1521C2×C4C22×C4×D8912yes—
1522C2×C4C22×C4×D8912yes—
1523C2×C4C22×C4×D8912yes—
1524C2×C4C22×C4×D8912yes—
1525C2×C4#1566805712yes—
1526C2×C4#1566805912yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—894no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
1552C22—3561no—
1553C22—1782no—
1554C22—1782no—
1555C22—1782no—
1556C22—1782no—
1557C22—1782no—
1558C22—1782no—
1559C22—1782no—
1560C22—1782no—
1561C22—1782no—
1562C22C23×C4×D8911yescharacteristic
1563C22H(5,𝔽2)×D8911yescharacteristic
1564C22H(5,𝔽2)×D8911yescharacteristic
1565C22C2×#1566805711yescharacteristic
1566C22C2×#1566805911yescharacteristic
1567C22#1915243411yescharacteristic
1568C22#1915243411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—3561no—
1582C4—3561no—
1583C4—3561no—
1584C4—3561no—
1585C4—3561no—
1586C4—3561no—
1587C4—3561no—
1588C4—3561no—
1589C4—1782no—
1590C4—1782no—
1591C4—1782no—
1592C4—1782no—
1593C4—1782no—
1594C4—1782no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—3562no—
1599C2—1784no—
1600C2#518×D8911yescharacteristic
1601C2C4×#1566805711yescharacteristic
1602C2C4×#1566805911yescharacteristic
1603C2#2603443411yescharacteristic
1604C2#2603447211yescharacteristic
1605C2#2603477611yescharacteristic
1606C2#2603479111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2364C2
socle, cosocleC23×C89C25
prime radicalC2×#19152177C2
hypercenter#2364D89
hypocenterC89#34436
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
2. #26023419C2semidirect
3. #26023416C2semidirect
4. #26023410C2semidirect
5. #26023409C2semidirect
6. #26023334C2semidirect
7. #26023330C2semidirect
8. #26023303C2semidirect
9. #26023301C2semidirect
10. #26023297C2semidirect
11. #26023265C2semidirect
12. #26023264C2semidirect
13. #26023083C2semidirect
14. #26023079C2semidirect
15. #26023078C2semidirect
16. #26023078C2semidirect
17. #26023018C2semidirect
18. #26023013C2semidirect
19. #26023008C2semidirect
20. #26023002C2semidirect
21. #26022985C2semidirect
22. #26022980C2semidirect
23. #26022956C2semidirect
24. #26022954C2semidirect
25. #26022954C2semidirect
26. #26022950C2semidirect
27. #26022851C2semidirect
28. C4×#15667985C2semidirect
29. C4×#15667983C2semidirect
30. #387×D89C2semidirect
31. C89×#2364C2semidirect
34. #19152177C4semidirect
190. C2×#13083574C2×C4semidirect
193. C2×#13083573C2×C4semidirect
217. #15667992C2×C4semidirect
218. #15667991C2×C4semidirect
219. #15667989C2×C4semidirect
220. #15667989C2×C4semidirect
221. #15667985C2×C4semidirect
222. #15667985C2×C4semidirect
223. #15667984C2×C4semidirect
224. #15667984C2×C4semidirect
225. #15667983C2×C4semidirect
226. #15667983C2×C4semidirect
227. #15667983C2×C4semidirect
260. C4⋊C4×D89C2×C4semidirect
346. #121×C89C2×C4semidirect
814. #2364D89semidirect
835. C89#34436semidirect
1040. #121C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521772
#260234192
#260234162
#260234102
#260234092
#260233342
#260233302
#260233032
#260233012
#260232972
#260232652
#260232642
#260230832
#260230792
#260230782
#260230182
#260230132
#260230082
#260230022
#260229852
#260229802
#260229562
#260229542
#260229502
#260228512
C4×#156679852
C4×#156679832
#387×D892
C89×#23642
#3443689