Finite Group Databasebeta

← #36720452

Subgroups — #36720452

Order 22784.

2456 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152339C211yesmaximal, characteristic
2#26023444C211yesmaximal, characteristic, complemented
3#26023441C211yesmaximal, characteristic, complemented
4#26023428C211yesmaximal, characteristic, complemented
5#26023381C211yesmaximal, characteristic, complemented
6#26023303C211yesmaximal, characteristic, complemented
7#26023298C211yesmaximal, characteristic, complemented
8#26023292C211yesmaximal, characteristic, complemented
9#26023291C211yesmaximal, characteristic, complemented
10#26023270C211yesmaximal, characteristic, complemented
11#26023265C211yesmaximal, characteristic, complemented
12#26023251C211yesmaximal, characteristic, complemented
13#26023249C211yesmaximal, characteristic, complemented
14#26023234C211yesmaximal, characteristic, complemented
15#26023234C211yesmaximal, characteristic, complemented
16#26023230C211yesmaximal, characteristic, complemented
17#26023041C211yesmaximal, characteristic, complemented
18#26023036C211yesmaximal, characteristic, complemented
19#26023016C211yesmaximal, characteristic, complemented
20#26023012C211yesmaximal, characteristic, complemented
21#26022956C211yesmaximal, characteristic, complemented
22#26022951C211yesmaximal, characteristic, complemented
23#26022946C211yesmaximal, characteristic, complemented
24#26022940C211yesmaximal, characteristic, complemented
25#26022925C211yesmaximal, characteristic, complemented
26#26022914C211yesmaximal, characteristic, complemented
27#26022912C211yesmaximal, characteristic, complemented
28#26022905C211yesmaximal, characteristic, complemented
29C4×#15668009C211yesmaximal, characteristic, complemented
30C4×#15668006C211yesmaximal, characteristic, complemented
31C4×#126×C89C211yesmaximal, characteristic, complemented
32#19152339C4116yescomplemented
33C2×#15668009C2211yescharacteristic
34C2×#15668006C2211yescharacteristic
35C2×#15667997C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667987C2211yescharacteristic
39C2×#15667987C2211yescharacteristic
40C2×#15667987C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×C4×D356C2211yescharacteristic
48C2×C4×D356C2211yescharacteristic
49C2×C4×D356C2211yescharacteristic
50C2×C4×D356C2211yescharacteristic
51C2×C4×D356C2211yescharacteristic, complemented
52C2×C4×D356C2211yescharacteristic, complemented
53C2×C4×D356C2211yescharacteristic, complemented
54C2×#15667974C2211yescharacteristic
55C2×#15667974C2211yescharacteristic
56C2×C4×C22⋊D89C2211yescharacteristic
57C2×#15667972C2211yescharacteristic
58C2×#15667972C2211yescharacteristic
59C2×#15667970C2211yescharacteristic, complemented
60C2×#15667969C2211yescharacteristic, complemented
61C2×C4⋊C4×D89C2211yescharacteristic, complemented
62C22×#13083551C2211yescharacteristic
63C2×C22⋊C4×D89C2211yescharacteristic
64C2×C22⋊C4×D89C2211yescharacteristic
65#19151500C2211yescharacteristic
66#19151500C2211yescharacteristic
67#19151500C2211yescharacteristic
68#19151500C2211yescharacteristic
69#19151500C2211yescharacteristic
70#19151500C2211yescharacteristic, complemented
71#19151500C2211yescharacteristic, complemented
72#19151500C2211yescharacteristic, complemented
73#19151499C2211yescharacteristic
74#19151498C2211yescharacteristic
75#19151498C2211yescharacteristic
76#19151498C2211yescharacteristic
77#19151497C2211yescharacteristic, complemented
78#19151497C2211yescharacteristic, complemented
79#19151497C2211yescharacteristic, complemented
80#19151495C2211yescharacteristic, complemented
81#19151495C2211yescharacteristic, complemented
82#19151495C2211yescharacteristic, complemented
83#19151491C2211yescharacteristic
84#19151491C2211yescharacteristic
85#19151491C2211yescharacteristic
86#19151490C2211yescharacteristic
87#19151490C2211yescharacteristic
88#19151490C2211yescharacteristic
89#19151490C2211yescharacteristic
90#19151490C2211yescharacteristic
91#19151490C2211yescharacteristic, complemented
92#19151489C2211yescharacteristic
93#19151489C2211yescharacteristic
94#19151489C2211yescharacteristic
95#19151489C2211yescharacteristic
96#19151489C2211yescharacteristic
97#19151489C2211yescharacteristic, complemented
98#19151489C2211yescharacteristic, complemented
99#19151488C2211yescharacteristic
100#19151488C2211yescharacteristic, complemented
101#19151488C2211yescharacteristic, complemented
102#19151487C2211yescharacteristic
103#19151487C2211yescharacteristic, complemented
104#19151485C2211yescharacteristic, complemented
105#19151485C2211yescharacteristic, complemented
106#19151485C2211yescharacteristic, complemented
107#19151484C2211yescharacteristic, complemented
108#19151484C2211yescharacteristic, complemented
109#19151484C2211yescharacteristic, complemented
110#19151482C2211yescharacteristic, complemented
111#19151482C2211yescharacteristic, complemented
112#19151482C2211yescharacteristic, complemented
113#19151477C2211yescharacteristic
114#19151477C2211yescharacteristic
115#19151476C2211yescharacteristic
116#19151476C2211yescharacteristic
117#19151476C2211yescharacteristic
118#19151476C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151476C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic
127#19151476C2211yescharacteristic, complemented
128#19151476C2211yescharacteristic, complemented
129#19151476C2211yescharacteristic, complemented
130#19151476C2211yescharacteristic, complemented
131#19151476C2211yescharacteristic, complemented
132#19151476C2211yescharacteristic, complemented
133#19151475C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151473C2211yescharacteristic
138#19151473C2211yescharacteristic
139#19151473C2211yescharacteristic
140#19151472C2211yescharacteristic
141#19151472C2211yescharacteristic
142#19151472C2211yescharacteristic
143#19151472C2211yescharacteristic
144#19151472C2211yescharacteristic, complemented
145#19151472C2211yescharacteristic, complemented
146#19151469C2211yescharacteristic
147#19151469C2211yescharacteristic
148#19151469C2211yescharacteristic, complemented
149#19151468C2211yescharacteristic, complemented
150#19151466C2211yescharacteristic, complemented
151#19151460C2211yescharacteristic, complemented
152#19151457C2211yescharacteristic, complemented
153#19151455C2211yescharacteristic, complemented
154#19151453C2211yescharacteristic
155C4×#13083553C2211yescharacteristic, complemented
156C4×#13083553C2211yescharacteristic, complemented
157C4×#13083553C2211yescharacteristic, complemented
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic
160C4×#13083551C2211yescharacteristic
161C4×#13083551C2211yescharacteristic
162C4×#13083551C2211yescharacteristic, complemented
163C4×#13083551C2211yescharacteristic, complemented
164C4×#13083551C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic, complemented
168#19151445C2211yescharacteristic, complemented
169#19151445C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172#95×D89C2211yescharacteristic, complemented
173C2×#126×C89C2211yescharacteristic
174#388×C89C2211yescharacteristic
175#388×C89C2211yescharacteristic
176#388×C89C2211yescharacteristic
177#387×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#383×C89C2211yescharacteristic, complemented
181C4×C4⋊C4×C89C2211yescharacteristic, complemented
182C4×C4⋊C4×C89C2211yescharacteristic, complemented
183C4×C4⋊C4×C89C2211yescharacteristic, complemented
184C4×C22⋊C4×C89C2211yescharacteristic
185C4×C22⋊C4×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C43×C89C2211yescharacteristic, complemented
188C24×D89C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15668009C2×C418yescomplemented
216#15668006C2×C418yescomplemented
217#15667997C2×C418yescomplemented
218#15667997C2×C418yescomplemented
219#15667997C2×C418yescomplemented
220#15667987C2×C418yescomplemented
221#15667987C2×C418yescomplemented
222#15667987C2×C418yescomplemented
223#15667985C2×C418yescomplemented
224#15667985C2×C418yescomplemented
225#15667985C2×C418yescomplemented
226#15667982C2×C418yescomplemented
227#15667982C2×C418yescomplemented
228#15667982C2×C418yescomplemented
229C4×D356—42no—
230C4×D356—42no—
231C4×D356—42no—
232C4×D356—42no—
233C4×D356—42no—
234C4×D356—42no—
235C4×D356—42no—
236#15667974—42no—
237#15667974—42no—
238C4×C22⋊D89—42no—
239#15667972—42no—
240#15667972—42no—
241#15667970—42no—
242#15667969—42no—
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×C4⋊Dic89C2311yescharacteristic
248C2×C4⋊Dic89C2311yescharacteristic
249C2×C4⋊Dic89C2311yescharacteristic
250C2×C4⋊Dic89C2311yescharacteristic
251C2×C4⋊Dic89C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C4⋊C4×D89—42no—
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×#13083551—42no—
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×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C22⋊C4×D89—42no—
306C22⋊C4×D89—42no—
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C2×C4×Dic89C2311yescharacteristic
314C2×C4×Dic89C2311yescharacteristic
315C2×C4×Dic89C2311yescharacteristic
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
340C23×C4×C89C2311yescharacteristic
341#126×C89C2×C418yescomplemented
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C42×C89C2311yescharacteristic
355C2×C42×C89C2311yescharacteristic
356C2×C42×C89C2311yescharacteristic
357C2×C42×C89C2311yescharacteristic
358C2×C42×C89C2311yescharacteristic
359C2×C42×C89C2311yescharacteristic
360C2×C42×C89C2311yescharacteristic
361C2×C42×C89C2311yescharacteristic
362C2×C42×C89C2311yescharacteristic
363C2×C42×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×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—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89C22×C414yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C23×D89C2411yescharacteristic
387C23×D89C2411yescharacteristic
388C2×D356—41no—
389C2×D356—41no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
396C2×D356—41no—
397C2×D356—41no—
398C2×D356—41no—
399C2×D356—41no—
400C2×D356—41no—
401C2×D356—41no—
402C2×D356—41no—
403C2×D356—41no—
404C2×D356—41no—
405C2×D356—41no—
406C2×D356C22×C414yes—
407C2×D356C22×C414yes—
408C2×D356C22×C414yes—
409C2×D356C22×C414yes—
410C2×D356C22×C414yes—
411C2×D356C22×C414yes—
412C2×D356C22×C414yes—
413C2×D356C22×C414yes—
414C2×D356C22×C414yes—
415C2×C22⋊D89—41no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89—41no—
420C2×C22⋊D89—41no—
421C2×C22⋊D89C22×C414yes—
422C2×C22⋊D89C22×C414yes—
423C2×C22⋊D89C22×C414yes—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—22no—
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×D89—41no—
460C2×C4×D89—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—41no—
466C2×C4×D89—41no—
467C2×C4×D89—41no—
468C2×C4×D89—41no—
469C2×C4×D89—41no—
470C2×C4×D89—41no—
471C2×C4×D89—41no—
472C2×C4×D89—41no—
473C2×C4×D89—41no—
474C2×C4×D89C22×C414yes—
475C2×C4×D89C22×C414yes—
476C2×C4×D89C22×C414yes—
477C4⋊Dic89—41no—
478C4⋊Dic89—41no—
479C4⋊Dic89—41no—
480C4⋊Dic89—41no—
481C4⋊Dic89—41no—
482C4⋊Dic89—41no—
483C4⋊Dic89—41no—
484C4⋊Dic89—41no—
485C4⋊Dic89—41no—
486#13083553—22no—
487#13083553—22no—
488#13083553—41no—
489#13083553—41no—
490#13083553—41no—
491#13083553—41no—
492#13083553C22×C414yes—
493#13083553C22×C414yes—
494#13083553C22×C414yes—
495C22⋊Dic89—41no—
496C22⋊Dic89—41no—
497C22⋊Dic89—41no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—22no—
502#13083551—22no—
503#13083551—22no—
504#13083551—22no—
505#13083551—22no—
506#13083551—22no—
507#13083551—22no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524#13083551—41no—
525#13083551—41no—
526#13083551—41no—
527#13083551—41no—
528#13083551C22×C414yes—
529#13083551C22×C414yes—
530#13083551C22×C414yes—
531#13083551C22×C414yes—
532#13083551C22×C414yes—
533#13083551C22×C414yes—
534#13083551C22×C414yes—
535#13083551C22×C414yes—
536#13083551C22×C414yes—
537C4×Dic89—22no—
538C4×Dic89—41no—
539C4×Dic89—41no—
540C4×Dic89—41no—
541C4×Dic89—41no—
542C4×Dic89—41no—
543C4×Dic89—41no—
544C4×Dic89—41no—
545C4×Dic89—41no—
546C24×C89C2411yescharacteristic
547C22×C4×C89—22no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
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
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C4⋊C4×C89—22no—
565C4⋊C4×C89—22no—
566C4⋊C4×C89—41no—
567C4⋊C4×C89C22×C414yes—
568C4⋊C4×C89C22×C414yes—
569C4⋊C4×C89C22×C414yes—
570C22⋊C4×C89—22no—
571C22⋊C4×C89—22no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89C22×C414yes—
574C22⋊C4×C89C22×C414yes—
575C22⋊C4×C89C22×C414yes—
576C42×C89—22no—
577C42×C89—22no—
578C42×C89—22no—
579C42×C89—22no—
580C42×C89—41no—
581C42×C89—41no—
582C42×C89—41no—
583C42×C89—41no—
584C42×C89—41no—
585C42×C89C22×C414yes—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89C23×C412yes—
593C23×C89C2511yescharacteristic
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—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—44no—
625C22×D89—44no—
626C22×D89—44no—
627C22×D89—82no—
628C22×D89—82no—
629C22×D89—82no—
630C22×D89—82no—
631C22×D89C23×C412yes—
632C22×D89C23×C412yes—
633C22×D89C23×C412yes—
634C22×D89C23×C412yes—
635C22×D89C23×C412yes—
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—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—82no—
670C2×C4×C89C23×C412yes—
671C2×C4×C89C23×C412yes—
672C2×C4×C89C23×C412yes—
673C2×C4×C89C23×C412yes—
674C2×C4×C89C23×C412yes—
675C2×C4×C89C23×C412yes—
676C2×C4×C89H(5,𝔽2)12yes—
677C2×C4×C89H(5,𝔽2)12yes—
678C2×C4×C89H(5,𝔽2)12yes—
679C22⋊D89—44no—
680C22⋊D89—44no—
681C22⋊D89—44no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—82no—
713C2×Dic89C23×C412yes—
714C2×Dic89C23×C412yes—
715C2×Dic89C23×C412yes—
716D356—44no—
717D356—44no—
718D356—44no—
719D356—44no—
720D356—44no—
721D356—44no—
722D356—44no—
723D356—44no—
724D356—44no—
725C4×D89—44no—
726C4×D89—44no—
727C4×D89—44no—
728C4×D89—82no—
729C4×D89—82no—
730C4×D89—82no—
731C4×D89—82no—
732C4×D89—82no—
733C4×D89—82no—
734C4×D89—82no—
735C4×D89—82no—
736C4×D89—82no—
737C4×D89—82no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89C24×C411yescharacteristic
746C22×C89C2×H(5,𝔽2)11yescharacteristic
747C22×C89C2×H(5,𝔽2)11yescharacteristic
748C22×C89C2×H(5,𝔽2)11yescharacteristic
749C22×C89#58511yescharacteristic
750C22×C89#58511yescharacteristic
751C22×C89#58511yescharacteristic
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—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
764C2×D89—22no—
765C2×D89—22no—
766C2×D89—22no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89—41no—
780C2×D89—41no—
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—88no—
788C4×C89—22no—
789C4×C89—22no—
790C4×C89—22no—
791C4×C89—22no—
792C4×C89—22no—
793C4×C89—22no—
794C4×C89—22no—
795C4×C89—22no—
796C4×C89—22no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802Dic89—22no—
803Dic89—22no—
804Dic89—22no—
805Dic89—41no—
806Dic89—41no—
807Dic89—41no—
808Dic89—41no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813#34520—891nomaximal, Sylow
814C2×C89—42no—
815C2×C89C4×H(5,𝔽2)11yescharacteristic
816C2×C89C4×H(5,𝔽2)11yescharacteristic
817C2×C89C4×H(5,𝔽2)11yescharacteristic
818C2×C89#354311yescharacteristic
819C2×C89#355111yescharacteristic
820C2×C89#356011yescharacteristic
821C2×C89#356011yescharacteristic
822D89—42no—
823D89—42no—
824D89—42no—
825D89—42no—
826D89—42no—
827C2×#560—891no—
828#2383—891no—
829#2383—891no—
830#2380—891no—
831#2374—891no—
832#2364—891no—
833#2364—891no—
834#2363—891no—
835#2363—891no—
836#2361—891no—
837#2361—891no—
838#2359—891no—
839#2359—891no—
840#2358—891no—
841#2358—891no—
842#2358—891no—
843#2335—891no—
844#2335—891no—
845#2333—891no—
846#2333—891no—
847#2325—891no—
848#2325—891no—
849#2324—891no—
850#2324—891no—
851#2322—891no—
852#2321—891no—
853#2321—891no—
854#2321—891no—
855C4×#127—891no—
856C4×#126—891no—
857C4×#126D8911yescharacteristic, complemented
858C89#3452011yescharacteristic, complemented, Sylow
859#560—8916no—
860C2×#127—891no—
861C2×#126—891no—
862C2×#126C2×D8911yescharacteristic
863C2×#123—891no—
864C2×#123—891no—
865C2×#123—891no—
866C2×#121—891no—
867C2×#121—891no—
868C2×#121—891no—
869C2×#121—891no—
870C2×#121—891no—
871C2×#121—891no—
872C2×#120—891no—
873C2×#120—891no—
874C2×#120—891no—
875C2×C4×D4—891no—
876C2×C4×D4—891no—
877C2×C4×D4—891no—
878C2×C4×D4—891no—
879C2×C4×D4—891no—
880C2×C4×D4—891no—
881C2×C4×D4—891no—
882C2×C4×D4—891no—
883C2×C4×D4—891no—
884C2×C4×D4—891no—
885C2×C4×D4—891no—
886C2×C4×D4—891no—
887C2×#117—891no—
888C2×#117—891no—
889C22×C4⋊C4—891no—
890C22×C22⋊C4—891no—
891C22×C22⋊C4—891no—
892C22×C22⋊C4—891no—
893#390—891no—
894#390—891no—
895#390—891no—
896#390—891no—
897#390—891no—
898#390—891no—
899#390—891no—
900#390—891no—
901#390—891no—
902#390—891no—
903#390—891no—
904#390—891no—
905#389—891no—
906#389—891no—
907#389—891no—
908#389—891no—
909#389—891no—
910#389—891no—
911#388—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388C2×D8911yescharacteristic
933#388C2×D8911yescharacteristic
934#388C2×D8911yescharacteristic
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387C2×D8911yescharacteristic, complemented
945#387C2×D8911yescharacteristic, complemented
946#387C2×D8911yescharacteristic, complemented
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#386—891no—
968#386—891no—
969#386—891no—
970#386—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#384—891no—
984#383—891no—
985#383C2×D8911yescharacteristic, complemented
986#381—891no—
987#380—891no—
988#380—891no—
989#379—891no—
990C4×C4⋊C4—891no—
991C4×C4⋊C4—891no—
992C4×C4⋊C4—891no—
993C4×C4⋊C4C2×D8911yescharacteristic, complemented
994C4×C4⋊C4C2×D8911yescharacteristic, complemented
995C4×C4⋊C4C2×D8911yescharacteristic, complemented
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C4×C22⋊C4—891no—
1003C4×C22⋊C4—891no—
1004C4×C22⋊C4—891no—
1005C4×C22⋊C4—891no—
1006C4×C22⋊C4—891no—
1007C4×C22⋊C4—891no—
1008C4×C22⋊C4—891no—
1009C4×C22⋊C4C2×D8911yescharacteristic
1010C4×C22⋊C4C2×D8911yescharacteristic
1011C4×C22⋊C4C2×D8911yescharacteristic
1012C2×#95—891no—
1013C2×#95—891no—
1014C43C2×D8911yescharacteristic, complemented
1015C25—891no—
1016C22×D4—891no—
1017C22×D4—891no—
1018C22×D4—891no—
1019C22×D4—891no—
1020C22×D4—891no—
1021C22×D4—891no—
1022C22×D4—891no—
1023C22×D4—891no—
1024C22×D4—891no—
1025C22×D4—891no—
1026C22×D4—891no—
1027C22×D4—891no—
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—891no—
1031C23×C4—891no—
1032C23×C4—891no—
1033C23×C4—891no—
1034C23×C4—891no—
1035C23×C4—891no—
1036C23×C4—891no—
1037C23×C4—891no—
1038C23×C4—891no—
1039C23×C4—891no—
1040C23×C4—891no—
1041C23×C4—891no—
1042C23×C4C22×D8911yescharacteristic
1043#127—898no—
1044#126—898no—
1045#126C4×D8918yescomplemented
1046#123—898no—
1047#123—898no—
1048#123—898no—
1049#121—898no—
1050#121—898no—
1051#121—898no—
1052#121—898no—
1053#121—898no—
1054#121—898no—
1055#120—898no—
1056#120—898no—
1057#120—898no—
1058C4×D4—3562no—
1059C4×D4—3562no—
1060C4×D4—3562no—
1061C4×D4—3562no—
1062C4×D4—3562no—
1063C4×D4—3562no—
1064C4×D4—3562no—
1065C4×D4—3562no—
1066C4×D4—3562no—
1067C4×D4—3562no—
1068C4×D4—3562no—
1069C4×D4—3562no—
1070#117—3562no—
1071#117—3562no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—3562no—
1091C2×C4⋊C4C22×D8911yescharacteristic
1092C2×C4⋊C4C22×D8911yescharacteristic
1093C2×C4⋊C4C22×D8911yescharacteristic
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—3562no—
1140C2×C22⋊C4—3562no—
1141C2×C22⋊C4—3562no—
1142C2×C22⋊C4C22×D8911yescharacteristic
1143C2×C22⋊C4C22×D8911yescharacteristic
1144C2×C22⋊C4C22×D8911yescharacteristic
1145C2×C22⋊C4C22×D8911yescharacteristic
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C42—891no—
1149C2×C42—891no—
1150C2×C42—891no—
1151C2×C42—891no—
1152C2×C42—891no—
1153C2×C42—891no—
1154C2×C42—891no—
1155C2×C42—891no—
1156C2×C42—891no—
1157C2×C42C22×D8911yescharacteristic
1158C2×C42C22×D8911yescharacteristic
1159C2×C42C22×D8911yescharacteristic
1160C2×C42C22×D8911yescharacteristic
1161C2×C42C22×D8911yescharacteristic
1162C2×C42C22×D8911yescharacteristic
1163C2×C42C22×D8911yescharacteristic
1164C2×C42C22×D8911yescharacteristic
1165C2×C42C22×D8911yescharacteristic
1166C2×C42C22×D8911yescharacteristic
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#95C22×D8911yescharacteristic
1192#95C22×D8911yescharacteristic
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196#95C22×D8911yescharacteristic
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203C24—894no—
1204C24—891no—
1205C24—891no—
1206C24—891no—
1207C24—891no—
1208C24—891no—
1209C24—3561no—
1210C24—3561no—
1211C24—3561no—
1212C24—3561no—
1213C24—3561no—
1214C24—3561no—
1215C24C23×D8911yescharacteristic
1216C2×D4—894no—
1217C2×D4—894no—
1218C2×D4—894no—
1219C2×D4—894no—
1220C2×D4—894no—
1221C2×D4—894no—
1222C2×D4—894no—
1223C2×D4—894no—
1224C2×D4—894no—
1225C2×D4—894no—
1226C2×D4—894no—
1227C2×D4—894no—
1228C2×D4—3561no—
1229C2×D4—3561no—
1230C2×D4—3561no—
1231C2×D4—3561no—
1232C2×D4—3561no—
1233C2×D4—3561no—
1234C2×D4—3561no—
1235C2×D4—3561no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—3561no—
1239C2×D4—3561no—
1240C2×D4—3561no—
1241C2×D4—3561no—
1242C2×D4—3561no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—894no—
1259C22×C4—894no—
1260C22×C4—894no—
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—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—3561no—
1285C22×C4—3561no—
1286C22×C4—3561no—
1287C22×C4—3561no—
1288C22×C4—3561no—
1289C22×C4—3561no—
1290C22×C4—3561no—
1291C22×C4—3561no—
1292C22×C4—3561no—
1293C22×C4—3561no—
1294C22×C4—3561no—
1295C22×C4—3561no—
1296C22×C4—3561no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—1782no—
1304C22×C4—1782no—
1305C22×C4—1782no—
1306C22×C4—1782no—
1307C22×C4—1782no—
1308C22×C4C23×D8911yescharacteristic
1309C22×C4C23×D8911yescharacteristic
1310C22×C4C23×D8911yescharacteristic
1311C22×C4C23×D8911yescharacteristic
1312C22×C4C23×D8911yescharacteristic
1313C22×C4C23×D8911yescharacteristic
1314C22×C4C23×D8911yescharacteristic
1315C22×C4C23×D8911yescharacteristic
1316C22×C4C23×D8911yescharacteristic
1317C22×C4C23×D8911yescharacteristic
1318C22×C4C23×D8911yescharacteristic
1319C22×C4C23×D8911yescharacteristic
1320C22×C4C23×D8911yescharacteristic
1321C22×C4C23×D8911yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—41no—
1325C4⋊C4—894no—
1326C4⋊C4—894no—
1327C4⋊C4—894no—
1328C4⋊C4—3561no—
1329C4⋊C4—3561no—
1330C4⋊C4—3561no—
1331C4⋊C4—3561no—
1332C4⋊C4—3561no—
1333C4⋊C4—3561no—
1334C4⋊C4—3561no—
1335C4⋊C4—3561no—
1336C4⋊C4—3561no—
1337C4⋊C4—3561no—
1338C4⋊C4—3561no—
1339C4⋊C4—3561no—
1340C4⋊C4—3561no—
1341C4⋊C4—1782no—
1342C4⋊C4—1782no—
1343C4⋊C4C2×C4×D8914yes—
1344C4⋊C4C2×C4×D8914yes—
1345C4⋊C4C2×C4×D8914yes—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—894no—
1350C22⋊C4—894no—
1351C22⋊C4—894no—
1352C22⋊C4—894no—
1353C22⋊C4—894no—
1354C22⋊C4—894no—
1355C22⋊C4—894no—
1356C22⋊C4—894no—
1357C22⋊C4—894no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—3561no—
1372C22⋊C4—3561no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—1782no—
1382C22⋊C4—1782no—
1383C22⋊C4—1782no—
1384C22⋊C4—1782no—
1385C22⋊C4—1782no—
1386C22⋊C4—1782no—
1387C22⋊C4—1782no—
1388C22⋊C4—1782no—
1389C22⋊C4—1782no—
1390C22⋊C4—1782no—
1391C22⋊C4C2×C4×D8914yes—
1392C22⋊C4C2×C4×D8914yes—
1393C22⋊C4C2×C4×D8914yes—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—3561no—
1404C42—3561no—
1405C42—3561no—
1406C42—3561no—
1407C42—3561no—
1408C42—3561no—
1409C42—3561no—
1410C42—3561no—
1411C42—1782no—
1412C42C2×C4×D8914yes—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—892no—
1420C23—892no—
1421C23—892no—
1422C23—892no—
1423C23—892no—
1424C23—3564no—
1425C23—3564no—
1426C23—3564no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—1781no—
1442C23—1781no—
1443C23—1781no—
1444C23—1781no—
1445C23—1781no—
1446C23—1781no—
1447C23—1781no—
1448C23—1781no—
1449C23—1781no—
1450C23—1781no—
1451C23—1781no—
1452C23—1781no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23—1781no—
1457C23—7122no—
1458C23—7122no—
1459C23—7122no—
1460C23—7122no—
1461C23C22×C4×D8912yes—
1462C23C24×D8911yescharacteristic
1463D4—3564no—
1464D4—3564no—
1465D4—3564no—
1466D4—3564no—
1467D4—3564no—
1468D4—3564no—
1469D4—3564no—
1470D4—3564no—
1471D4—3564no—
1472D4—3564no—
1473D4—3564no—
1474D4—3564no—
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—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—82no—
1509C2×C4—892no—
1510C2×C4—892no—
1511C2×C4—892no—
1512C2×C4—3564no—
1513C2×C4—3564no—
1514C2×C4—3564no—
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×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—7122no—
1546C2×C4—7122no—
1547C2×C4—7122no—
1548C2×C4—7122no—
1549C2×C4—7122no—
1550C2×C4—7122no—
1551C2×C4—7122no—
1552C2×C4—7122no—
1553C2×C4—7122no—
1554C2×C4—7122no—
1555C2×C4—7122no—
1556C2×C4C22×C4×D8912yes—
1557C2×C4C22×C4×D8912yes—
1558C2×C4C22×C4×D8912yes—
1559C2×C4C22×C4×D8912yes—
1560C2×C4C22×C4×D8912yes—
1561C2×C4C22×C4×D8912yes—
1562C2×C4#1566805812yes—
1563C2×C4#1566805812yes—
1564C2×C4#1566805812yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—3561no—
1573C22—3561no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22—3561no—
1582C22—3561no—
1583C22—3561no—
1584C22—3561no—
1585C22—3561no—
1586C22—3561no—
1587C22—3561no—
1588C22—3561no—
1589C22—3561no—
1590C22—3561no—
1591C22—3561no—
1592C22—1782no—
1593C22—1782no—
1594C22—1782no—
1595C22—1782no—
1596C22—1782no—
1597C22—1782no—
1598C22—1782no—
1599C22—1782no—
1600C22—1782no—
1601C22—1782no—
1602C22—1782no—
1603C22—1782no—
1604C22—1782no—
1605C22—1782no—
1606C22—1782no—
1607C22—7128no—
1608C22C23×C4×D8911yescharacteristic
1609C22C2×#1566805811yescharacteristic
1610C22C2×#1566805811yescharacteristic
1611C22C2×#1566805811yescharacteristic
1612C22#1915243411yescharacteristic
1613C22#1915243411yescharacteristic
1614C22#1915243411yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—3561no—
1630C4—3561no—
1631C4—3561no—
1632C4—3561no—
1633C4—3561no—
1634C4—3561no—
1635C4—3561no—
1636C4—3561no—
1637C4—1782no—
1638C4—1782no—
1639C4—1782no—
1640C2—42no—
1641C2—3562no—
1642C2—3562no—
1643C2—3562no—
1644C2—3562no—
1645C2—3562no—
1646C2C4×#1566805811yescharacteristic
1647C2C4×#1566805811yescharacteristic
1648C2C4×#1566805811yescharacteristic
1649C2#2603458211yescharacteristic
1650C2#2603467411yescharacteristic
1651C2#2603479811yescharacteristic
1652C2#2603480411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC4×#126×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152339C2
hypercenterC4×#126D89
hypocenterC89#34520
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
2. #26023444C2semidirect
3. #26023441C2semidirect
4. #26023428C2semidirect
5. #26023381C2semidirect
6. #26023303C2semidirect
7. #26023298C2semidirect
8. #26023292C2semidirect
9. #26023291C2semidirect
10. #26023270C2semidirect
11. #26023265C2semidirect
12. #26023251C2semidirect
13. #26023249C2semidirect
14. #26023234C2semidirect
15. #26023234C2semidirect
16. #26023230C2semidirect
17. #26023041C2semidirect
18. #26023036C2semidirect
19. #26023016C2semidirect
20. #26023012C2semidirect
21. #26022956C2semidirect
22. #26022951C2semidirect
23. #26022946C2semidirect
24. #26022940C2semidirect
25. #26022925C2semidirect
26. #26022914C2semidirect
27. #26022912C2semidirect
28. #26022905C2semidirect
29. C4×#15668009C2semidirect
30. C4×#15668006C2semidirect
31. C4×#126×C89C2semidirect
32. #19152339C4semidirect
51. C2×C4×D356C22semidirect
52. C2×C4×D356C22semidirect
53. C2×C4×D356C22semidirect
59. C2×#15667970C22semidirect
60. C2×#15667969C22semidirect
61. C2×C4⋊C4×D89C22semidirect
70. #19151500C22semidirect
71. #19151500C22semidirect
72. #19151500C22semidirect
77. #19151497C22semidirect
78. #19151497C22semidirect
79. #19151497C22semidirect
80. #19151495C22semidirect
81. #19151495C22semidirect
82. #19151495C22semidirect
91. #19151490C22semidirect
97. #19151489C22semidirect
98. #19151489C22semidirect
100. #19151488C22semidirect
101. #19151488C22semidirect
103. #19151487C22semidirect
104. #19151485C22semidirect
105. #19151485C22semidirect
106. #19151485C22semidirect
107. #19151484C22semidirect
108. #19151484C22semidirect
109. #19151484C22semidirect
110. #19151482C22semidirect
111. #19151482C22semidirect
112. #19151482C22semidirect
127. #19151476C22semidirect
128. #19151476C22semidirect
129. #19151476C22semidirect
130. #19151476C22semidirect
131. #19151476C22semidirect
132. #19151476C22semidirect
144. #19151472C22semidirect
145. #19151472C22semidirect
148. #19151469C22semidirect
149. #19151468C22semidirect
150. #19151466C22semidirect
151. #19151460C22semidirect
152. #19151457C22semidirect
153. #19151455C22semidirect
155. C4×#13083553C22semidirect
156. C4×#13083553C22semidirect
157. C4×#13083553C22semidirect
162. C4×#13083551C22semidirect
163. C4×#13083551C22semidirect
164. C4×#13083551C22semidirect
167. #19151445C22semidirect
168. #19151445C22semidirect
169. #19151445C22semidirect
170. #19151445C22semidirect
171. #95×D89C22semidirect
172. #95×D89C22semidirect
177. #387×C89C22semidirect
178. #387×C89C22semidirect
179. #387×C89C22semidirect
180. #383×C89C22semidirect
181. C4×C4⋊C4×C89C22semidirect
182. C4×C4⋊C4×C89C22semidirect
183. C4×C4⋊C4×C89C22semidirect
187. C43×C89C22semidirect
215. #15668009C2×C4semidirect
216. #15668006C2×C4semidirect
217. #15667997C2×C4semidirect
218. #15667997C2×C4semidirect
219. #15667997C2×C4semidirect
220. #15667987C2×C4semidirect
221. #15667987C2×C4semidirect
222. #15667987C2×C4semidirect
223. #15667985C2×C4semidirect
224. #15667985C2×C4semidirect
225. #15667985C2×C4semidirect
226. #15667982C2×C4semidirect
227. #15667982C2×C4semidirect
228. #15667982C2×C4semidirect
341. #126×C89C2×C4semidirect
857. C4×#126D89semidirect
858. C89#34520semidirect
944. #387C2×D89semidirect
945. #387C2×D89semidirect
946. #387C2×D89semidirect
985. #383C2×D89semidirect
993. C4×C4⋊C4C2×D89semidirect
994. C4×C4⋊C4C2×D89semidirect
995. C4×C4⋊C4C2×D89semidirect
1014. C43C2×D89semidirect
1045. #126C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191523392
#260234442
#260234412
#260234282
#260233812
#260233032
#260232982
#260232922
#260232912
#260232702
#260232652
#260232512
#260232492
#260232342
#260232302
#260230412
#260230362
#260230162
#260230122
#260229562
#260229512
#260229462
#260229402
#260229252
#260229142
#260229122
#260229052
C4×#156680092
C4×#156680062
C4×#126×C892
#3452089