Finite Group Databasebeta

← #36760229

Subgroups — #36760229

Order 22784.

2524 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028533C211yesmaximal, characteristic, complemented
2#26028533C211yesmaximal, characteristic, complemented
3#26028531C211yesmaximal, characteristic, complemented
4#26025478C211yesmaximal, characteristic, complemented
5#26025475C211yesmaximal, characteristic, complemented
6#26025472C211yesmaximal, characteristic, complemented
7#26025215C211yesmaximal, characteristic, complemented
8#26025211C211yesmaximal, characteristic, complemented
9#26025210C211yesmaximal, characteristic, complemented
10#26024815C211yesmaximal, characteristic, complemented
11#26024815C211yesmaximal, characteristic, complemented
12#26024813C211yesmaximal, characteristic, complemented
13#26024812C211yesmaximal, characteristic, complemented
14#26024811C211yesmaximal, characteristic, complemented
15#26024810C211yesmaximal, characteristic, complemented
16#26024008C211yesmaximal, characteristic, complemented
17#26024005C211yesmaximal, characteristic, complemented
18#26024001C211yesmaximal, characteristic, complemented
19#26023997C211yesmaximal, characteristic, complemented
20#26023995C211yesmaximal, characteristic, complemented
21#26023301C211yesmaximal, characteristic, complemented
22#26023297C211yesmaximal, characteristic, complemented
23#26023296C211yesmaximal, characteristic, complemented
24#26023191C211yesmaximal, characteristic, complemented
25#26023190C211yesmaximal, characteristic, complemented
26#26023189C211yesmaximal, characteristic, complemented
27#26022757C211yesmaximal, characteristic, complemented
28#26022753C211yesmaximal, characteristic, complemented
29C4×#15667980C211yesmaximal, characteristic, complemented
30C2×#95×D89C211yesmaximal, characteristic, complemented
31C89×#2444C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C23×C4×D89C2211yescharacteristic
35C2×#15667985C2211yescharacteristic
36C2×#15667985C2211yescharacteristic
37C2×#15667985C2211yescharacteristic
38C2×#15667985C2211yescharacteristic
39C2×#15667984C2211yescharacteristic
40C2×#15667984C2211yescharacteristic
41C2×#15667983C2211yescharacteristic
42C2×#15667983C2211yescharacteristic
43C2×#15667982C2211yescharacteristic
44C2×#15667980C2211yescharacteristic
45C2×#15667980C2211yescharacteristic
46C2×D4×Dic89C2211yescharacteristic
47C2×#15667974C2211yescharacteristic
48C2×#15667974C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C2×C4×C22⋊D89C2211yescharacteristic
51C2×#15667972C2211yescharacteristic
52C2×#15667972C2211yescharacteristic
53C2×#15667972C2211yescharacteristic
54C89⋊#401C2211yescharacteristic, complemented
55C89⋊#401C2211yescharacteristic, complemented
56#19151540C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151539C2211yescharacteristic, complemented
59#19151539C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151532C2211yescharacteristic, complemented
62#19151531C2211yescharacteristic, complemented
63#19151528C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic, complemented
67#19151526C2211yescharacteristic, complemented
68#19151526C2211yescharacteristic, complemented
69#19151526C2211yescharacteristic, complemented
70#19151525C2211yescharacteristic, complemented
71#19151514C2211yescharacteristic, complemented
72#19151513C2211yescharacteristic, complemented
73#19151506C2211yescharacteristic, complemented
74#19151492C2211yescharacteristic, complemented
75#19151492C2211yescharacteristic, complemented
76#19151492C2211yescharacteristic, complemented
77#19151492C2211yescharacteristic, complemented
78#19151492C2211yescharacteristic, complemented
79#19151490C2211yescharacteristic, complemented
80#19151488C2211yescharacteristic, complemented
81#19151488C2211yescharacteristic, complemented
82#19151487C2211yescharacteristic, complemented
83#19151486C2211yescharacteristic, complemented
84#19151486C2211yescharacteristic, complemented
85#19151484C2211yescharacteristic, complemented
86#19151483C2211yescharacteristic, complemented
87#19151483C2211yescharacteristic, complemented
88#19151482C2211yescharacteristic, complemented
89#19151481C2211yescharacteristic, complemented
90#19151481C2211yescharacteristic, complemented
91#19151480C2211yescharacteristic, complemented
92#19151480C2211yescharacteristic, complemented
93#19151480C2211yescharacteristic, complemented
94#19151479C2211yescharacteristic, complemented
95#19151479C2211yescharacteristic, complemented
96#19151478C2211yescharacteristic
97#19151478C2211yescharacteristic
98#19151478C2211yescharacteristic
99#19151478C2211yescharacteristic, complemented
100#19151477C2211yescharacteristic
101#19151477C2211yescharacteristic
102#19151477C2211yescharacteristic
103#19151477C2211yescharacteristic, complemented
104#19151476C2211yescharacteristic
105#19151476C2211yescharacteristic
106#19151476C2211yescharacteristic
107#19151476C2211yescharacteristic
108#19151476C2211yescharacteristic
109#19151476C2211yescharacteristic
110#19151475C2211yescharacteristic, complemented
111#19151474C2211yescharacteristic
112#19151474C2211yescharacteristic
113#19151474C2211yescharacteristic
114#19151474C2211yescharacteristic
115#19151474C2211yescharacteristic
116#19151474C2211yescharacteristic
117#19151474C2211yescharacteristic
118#19151474C2211yescharacteristic
119#19151474C2211yescharacteristic
120#19151474C2211yescharacteristic
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151474C2211yescharacteristic, complemented
124#19151474C2211yescharacteristic, complemented
125#19151472C2211yescharacteristic
126#19151472C2211yescharacteristic
127#19151471C2211yescharacteristic
128#19151470C2211yescharacteristic
129#19151469C2211yescharacteristic
130#19151469C2211yescharacteristic
131#19151469C2211yescharacteristic
132#19151469C2211yescharacteristic
133#19151465C2211yescharacteristic, complemented
134#19151465C2211yescharacteristic, complemented
135#19151465C2211yescharacteristic, complemented
136#19151460C2211yescharacteristic, complemented
137#19151459C2211yescharacteristic, complemented
138#19151458C2211yescharacteristic
139#19151457C2211yescharacteristic
140#19151457C2211yescharacteristic
141#19151457C2211yescharacteristic
142#19151457C2211yescharacteristic
143#19151456C2211yescharacteristic
144#19151456C2211yescharacteristic
145#19151455C2211yescharacteristic
146#19151455C2211yescharacteristic
147#19151453C2211yescharacteristic
148C22⋊C4×Dic89C2211yescharacteristic
149C22⋊C4×Dic89C2211yescharacteristic
150C22⋊C4×Dic89C2211yescharacteristic, complemented
151C4×#13083551C2211yescharacteristic
152C4×#13083551C2211yescharacteristic
153C4×#13083551C2211yescharacteristic, complemented
154C4×C22⋊Dic89C2211yescharacteristic
155C4×C22⋊Dic89C2211yescharacteristic, complemented
156#19151445C2211yescharacteristic
157#19151445C2211yescharacteristic
158#19151445C2211yescharacteristic
159#19151445C2211yescharacteristic
160#19151443C2211yescharacteristic, complemented
161C2×#15667919C2211yescharacteristic
162C2×#15667919C2211yescharacteristic
163C2×#15667919C2211yescharacteristic
164#95×D89C2211yescharacteristic
165#95×D89C2211yescharacteristic
166#95×D89C2211yescharacteristic
167#95×D89C2211yescharacteristic
168#95×D89C2211yescharacteristic
169#95×D89C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172C2×#121×C89C2211yescharacteristic
173C2×C4×D4×C89C2211yescharacteristic
174#400×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#394×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic
185#381×C89C2211yescharacteristic, complemented
186C2×#95×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89—24no—
202C22×C4×D89—24no—
203C22×C4×D89—24no—
204C22×C4×D89—42no—
205C22×C4×D89—42no—
206C22×C4×D89—42no—
207C22×C4×D89—42no—
208C22×C4×D89—42no—
209C22×C4×D89—42no—
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219C22×C4×D89C2311yescharacteristic
220C22×C4×D89C2311yescharacteristic
221C22×C4×D89C2311yescharacteristic
222C22×C4×D89C2311yescharacteristic
223#15667985—24no—
224#15667985—42no—
225#15667985—42no—
226#15667985—42no—
227#15667984—24no—
228#15667984—42no—
229#15667983—24no—
230#15667983—42no—
231#15667982—24no—
232#15667980—24no—
233#15667980—24no—
234D4×Dic89—24no—
235#15667974—24no—
236#15667974—42no—
237C4×C22⋊D89—24no—
238C4×C22⋊D89—42no—
239#15667972—42no—
240#15667972—42no—
241#15667972—42no—
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×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
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×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295#15667919C2311yescharacteristic
296#15667919C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342#121×C89—42no—
343C4×D4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C42×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369#95×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—22no—
375C23×D89—22no—
376C23×D89—22no—
377C23×D89—22no—
378C23×D89#4114yes—
379C23×D89C2411yescharacteristic
380C23×D89C2411yescharacteristic
381C23×D89C2411yescharacteristic
382C2×D356—22no—
383C2×D356—22no—
384C2×D356—22no—
385C2×D356—22no—
386C2×D356—22no—
387C2×D356—22no—
388C2×C22⋊D89—22no—
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—22no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C22×Dic89—22no—
410C22×Dic89—22no—
411C22×Dic89—22no—
412C22×Dic89—22no—
413C22×Dic89—22no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89—41no—
419C22×Dic89—41no—
420C22×Dic89#4114yes—
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
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—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—22no—
446C2×C4×D89—22no—
447C2×C4×D89—22no—
448C2×C4×D89—22no—
449C2×C4×D89—22no—
450C2×C4×D89—22no—
451C2×C4×D89—22no—
452C2×C4×D89—22no—
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—416no—
470C2×C4×D89—416no—
471C2×C4×D89—416no—
472C2×C4×D89—41no—
473C2×C4×D89—41no—
474C2×C4×D89#4114yes—
475C2×C4×D89#4114yes—
476C4⋊Dic89—22no—
477C4⋊Dic89—22no—
478C4⋊Dic89—41no—
479#13083553—22no—
480#13083553—22no—
481#13083553—22no—
482#13083553—41no—
483#13083553—41no—
484#13083553—41no—
485#13083553—41no—
486#13083553—41no—
487#13083553—41no—
488#13083553—41no—
489#13083553—41no—
490C22⋊Dic89—22no—
491C22⋊Dic89—22no—
492C22⋊Dic89—22no—
493C22⋊Dic89—22no—
494C22⋊Dic89—22no—
495C22⋊Dic89—22no—
496C22⋊Dic89—22no—
497C22⋊Dic89—22no—
498C22⋊Dic89—41no—
499C22⋊Dic89—41no—
500C22⋊Dic89—41no—
501C22⋊Dic89—41no—
502#13083551—22no—
503#13083551—22no—
504#13083551—22no—
505#13083551—22no—
506#13083551—22no—
507#13083551—22no—
508#13083551—22no—
509#13083551—22no—
510#13083551—22no—
511#13083551—22no—
512#13083551—22no—
513#13083551—22no—
514#13083551—22no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521C4×Dic89—22no—
522C4×Dic89—22no—
523C4×Dic89—22no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C4×Dic89—41no—
529C24×C89C2411yescharacteristic
530C24×C89C2411yescharacteristic
531C24×C89C2411yescharacteristic
532C2×D4×C89—22no—
533C2×D4×C89—22no—
534C2×D4×C89—22no—
535C2×D4×C89—22no—
536C2×D4×C89—22no—
537C2×D4×C89—22no—
538C2×D4×C89—22no—
539C2×D4×C89—41no—
540C2×D4×C89—41no—
541C22×C4×C89—22no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—22no—
546C22×C4×C89—22no—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
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
564C22×C4×C89C2411yescharacteristic
565C4⋊C4×C89—22no—
566C4⋊C4×C89—41no—
567C4⋊C4×C89—41no—
568C4⋊C4×C89—41no—
569C22⋊C4×C89—22no—
570C22⋊C4×C89—22no—
571C22⋊C4×C89—22no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89—41no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C42×C89—41no—
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×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89C2×#4112yes—
600C23×C89C2×#4112yes—
601C23×C89H(5,𝔽2)12yes—
602C23×C89C2511yescharacteristic
603C22×D89—28no—
604C22×D89—28no—
605C22×D89—28no—
606C22×D89—28no—
607C22×D89—28no—
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—28no—
617C22×D89—28no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89C2×#4112yes—
626C22×D89C2×#4112yes—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629C22×D89H(5,𝔽2)12yes—
630C22×D89H(5,𝔽2)12yes—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—82no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—44no—
669C2×C4×C89—44no—
670C2×C4×C89—44no—
671C2×C4×C89—82no—
672C2×C4×C89C2×#4112yes—
673C2×C4×C89C2×#4112yes—
674C22⋊D89—44no—
675C22⋊D89—44no—
676C22⋊D89—44no—
677C22⋊D89—44no—
678C22⋊D89—44no—
679C22⋊D89—82no—
680C22⋊D89—82no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—44no—
717C2×Dic89—44no—
718C2×Dic89—44no—
719C2×Dic89—82no—
720C2×Dic89C2×#4112yes—
721C2×Dic89C2×#4112yes—
722C2×Dic89C2×#4112yes—
723C2×Dic89C2×#4112yes—
724D356—44no—
725D356—44no—
726C4×D89—44no—
727C4×D89—44no—
728C4×D89—44no—
729C4×D89—44no—
730C4×D89—44no—
731C4×D89—44no—
732C4×D89—44no—
733C4×D89—44no—
734C4×D89—44no—
735C4×D89—44no—
736C4×D89—44no—
737C4×D89—44no—
738C4×D89—82no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89#55314yes—
760C22×C89C22×#4111yescharacteristic
761C22×C89C22×#4111yescharacteristic
762C22×C89C22×#4111yescharacteristic
763C22×C89C22×#4111yescharacteristic
764C22×C89C2×H(5,𝔽2)11yescharacteristic
765C22×C89C2×H(5,𝔽2)11yescharacteristic
766C22×C89C2×H(5,𝔽2)11yescharacteristic
767C2×D89—232no—
768C2×D89—22no—
769C2×D89—22no—
770C2×D89—22no—
771C2×D89—22no—
772C2×D89—22no—
773C2×D89—22no—
774C2×D89—22no—
775C2×D89—22no—
776C2×D89—22no—
777C2×D89—22no—
778C2×D89—22no—
779C2×D89—22no—
780C2×D89—41no—
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89#55314yes—
788C2×D89#55314yes—
789C4×C89—22no—
790C4×C89—22no—
791C4×C89—41no—
792C4×C89—41no—
793C4×C89—41no—
794C4×C89—41no—
795C4×C89—41no—
796C4×C89—41no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801Dic89—22no—
802Dic89—22no—
803Dic89—22no—
804Dic89—22no—
805Dic89—41no—
806Dic89—41no—
807Dic89—41no—
808Dic89—41no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813Dic89—41no—
814#36607—891nomaximal, Sylow
815C2×C89—24no—
816C2×C89—81no—
817C2×C89—81no—
818C2×C89#344411yescharacteristic
819C2×C89C2×#55311yescharacteristic
820C2×C89C2×#55311yescharacteristic
821C2×C89C2×#55311yescharacteristic
822C2×C89#349011yescharacteristic
823C2×C89#349011yescharacteristic
824C2×C89#349011yescharacteristic
825D89—24no—
826D89—24no—
827D89—81no—
828#2847—891no—
829#2847—891no—
830#2847—891no—
831#2569—891no—
832#2569—891no—
833#2569—891no—
834#2543—891no—
835#2543—891no—
836#2543—891no—
837#2510—891no—
838#2510—891no—
839#2510—891no—
840#2510—891no—
841#2510—891no—
842#2510—891no—
843#2444—891no—
844#2444—891no—
845#2444—891no—
846#2444—891no—
847#2444—891no—
848#2444D8911yescharacteristic, complemented
849#2364—891no—
850#2364—891no—
851#2364—891no—
852#2353—891no—
853#2353—891no—
854#2353—891no—
855C4×#120—891no—
856C4×#120—891no—
857C4×#120—891no—
858C22×#95—891no—
859C89#3660711yescharacteristic, complemented, Sylow
860C24×C4—891no—
861C24×C4—891no—
862C24×C4—891no—
863C2×#121—891no—
864C2×#121—891no—
865C2×#121—891no—
866C2×#121—891no—
867C2×#121—891no—
868C2×#121—891no—
869C2×#121—891no—
870C2×#121—891no—
871C2×#121C2×D8911yescharacteristic
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×D4C2×D8911yescharacteristic
884#401—891no—
885#401—891no—
886#400—891no—
887#400—891no—
888#400—891no—
889#400—891no—
890#400—891no—
891#400C2×D8911yescharacteristic, complemented
892#398—891no—
893#398—891no—
894#398—891no—
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397C2×D8911yescharacteristic, complemented
903#397C2×D8911yescharacteristic, complemented
904#394—891no—
905#394—891no—
906#394C2×D8911yescharacteristic, complemented
907#392—891no—
908#388—891no—
909#388—891no—
910#388—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#388C2×D8911yescharacteristic, complemented
920#387—891no—
921#387—891no—
922#387—891no—
923#387—891no—
924#387—891no—
925#387—891no—
926#387—891no—
927#387—891no—
928#387—891no—
929#387—891no—
930#387—891no—
931#387C2×D8911yescharacteristic, complemented
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#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
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#386C2×D8911yescharacteristic
962#386C2×D8911yescharacteristic
963#386C2×D8911yescharacteristic
964#386C2×D8911yescharacteristic, complemented
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385C2×D8911yescharacteristic
974#383—891no—
975#383—891no—
976#383—891no—
977#381—891no—
978#381—891no—
979#381C2×D8911yescharacteristic, complemented
980#380—891no—
981#380—891no—
982#380—891no—
983#380—891no—
984#380—891no—
985#380—891no—
986#380—891no—
987#380—891no—
988#380—891no—
989#379—891no—
990C4×C22⋊C4—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002#376—891no—
1003C2×#95—891no—
1004C2×#95—891no—
1005C2×#95—891no—
1006C2×#95—891no—
1007C2×#95—891no—
1008C2×#95—891no—
1009C2×#95—891no—
1010C2×#95—891no—
1011C2×#95—891no—
1012C2×#95—891no—
1013C2×#95—891no—
1014C2×#95C2×D8911yescharacteristic
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×D4C22×D8911yescharacteristic
1026C22×D4C22×D8911yescharacteristic
1027C22×D4C22×D8911yescharacteristic
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×C4—891no—
1043C23×C4—891no—
1044C23×C4—891no—
1045C23×C4—3562no—
1046C23×C4—3562no—
1047C23×C4—3562no—
1048C23×C4—3562no—
1049C23×C4—3562no—
1050C23×C4—3562no—
1051C23×C4—1784no—
1052C23×C4—1784no—
1053C23×C4—1784no—
1054C23×C4C22×D8911yescharacteristic
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057C23×C4C22×D8911yescharacteristic
1058#121—42no—
1059#121—3562no—
1060#121—3562no—
1061#121—3562no—
1062#121—3562no—
1063#121—3562no—
1064#121—1784no—
1065#121—1784no—
1066#121—1784no—
1067#120—1784no—
1068#120—1784no—
1069#120—1784no—
1070C4×D4—42no—
1071C4×D4—3562no—
1072C4×D4—3562no—
1073C4×D4—3562no—
1074C4×D4—3562no—
1075C4×D4—3562no—
1076C4×D4—1784no—
1077C4×D4—1784no—
1078C4×D4—1784no—
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—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
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⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—891no—
1147C2×C42C22×D8911yescharacteristic
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#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#95C22×D8911yescharacteristic
1189#95C22×D8911yescharacteristic
1190#95C22×D8911yescharacteristic
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
1200C24—891no—
1201C24—891no—
1202C24—894no—
1203C24—891no—
1204C24—1782no—
1205C24—1782no—
1206C24—1782no—
1207C24—1782no—
1208C24—1782no—
1209C24—1782no—
1210C24C23×D8911yescharacteristic
1211C24C23×D8911yescharacteristic
1212C24C23×D8911yescharacteristic
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—3561no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C2×D4—1782no—
1240C2×D4—1782no—
1241C2×D4—1782no—
1242C2×D4—1782no—
1243C2×D4—1782no—
1244C2×D4—1782no—
1245C2×D4—1782no—
1246C2×D4—1782no—
1247C2×D4—1782no—
1248C2×D4—1782no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—894no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—891no—
1265C22×C4—891no—
1266C22×C4—894no—
1267C22×C4—894no—
1268C22×C4—891no—
1269C22×C4—891no—
1270C22×C4—891no—
1271C22×C4—891no—
1272C22×C4—891no—
1273C22×C4—891no—
1274C22×C4—891no—
1275C22×C4—891no—
1276C22×C4—891no—
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—35616no—
1296C22×C4—35616no—
1297C22×C4—35616no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—1782no—
1305C22×C4—1782no—
1306C22×C4—1782no—
1307C22×C4—1782no—
1308C22×C4—1782no—
1309C22×C4—1782no—
1310C22×C4—1782no—
1311C22×C4—1782no—
1312C22×C4—1782no—
1313C22×C4—1782no—
1314C22×C4—1782no—
1315C22×C4—1782no—
1316C22×C4—1782no—
1317C22×C4—1782no—
1318C22×C4—1782no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
1325C22×C4—1782no—
1326C22×C4—1782no—
1327C22×C4—1782no—
1328C22×C4C23×D8911yescharacteristic
1329C22×C4C23×D8911yescharacteristic
1330C22×C4C23×D8911yescharacteristic
1331C22×C4C23×D8911yescharacteristic
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—3561no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—1782no—
1354C4⋊C4—1782no—
1355C4⋊C4—1782no—
1356C4⋊C4—1782no—
1357C4⋊C4—1782no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
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—1782no—
1380C22⋊C4—1782no—
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⋊C4—1782no—
1392C22⋊C4—1782no—
1393C22⋊C4—1782no—
1394C22⋊C4—1782no—
1395C22⋊C4—1782no—
1396C22⋊C4—1782no—
1397C22⋊C4—1782no—
1398C22⋊C4—1782no—
1399C22⋊C4—1782no—
1400C42—41no—
1401C42—3561no—
1402C42—3561no—
1403C42—3561no—
1404C42—3561no—
1405C42—3561no—
1406C42—1782no—
1407C42—1782no—
1408C42—1782no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—892no—
1428C23—892no—
1429C23—892no—
1430C23—892no—
1431C23—892no—
1432C23—892no—
1433C23—1788no—
1434C23—1788no—
1435C23—1788no—
1436C23—1788no—
1437C23—1788no—
1438C23—1788no—
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—1788no—
1455C23#41×D8912yes—
1456C23#41×D8912yes—
1457C23#1566805712yes—
1458C23C24×D8911yescharacteristic
1459D4—44no—
1460D4—44no—
1461D4—82no—
1462D4—3564no—
1463D4—3564no—
1464D4—3564no—
1465D4—3564no—
1466D4—3564no—
1467D4—3564no—
1468D4—3564no—
1469D4—7122no—
1470D4—7122no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—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—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—892no—
1510C2×C4—892no—
1511C2×C4—892no—
1512C2×C4—892no—
1513C2×C4—3564no—
1514C2×C4—3564no—
1515C2×C4—3564no—
1516C2×C4—3564no—
1517C2×C4—3564no—
1518C2×C4—3564no—
1519C2×C4—3564no—
1520C2×C4—3564no—
1521C2×C4—3564no—
1522C2×C4—3564no—
1523C2×C4—3564no—
1524C2×C4—3564no—
1525C2×C4—3564no—
1526C2×C4—3564no—
1527C2×C4—3564no—
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—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—7122no—
1564C2×C4—7122no—
1565C2×C4#41×D8912yes—
1566C2×C4#41×D8912yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—894no—
1588C22—894no—
1589C22—3561no—
1590C22—3561no—
1591C22—3561no—
1592C22—3561no—
1593C22—3561no—
1594C22—3561no—
1595C22—3561no—
1596C22—17832no—
1597C22—1782no—
1598C22—1782no—
1599C22—1782no—
1600C22—1782no—
1601C22—1782no—
1602C22—1782no—
1603C22—1782no—
1604C22—1782no—
1605C22—1782no—
1606C22—1782no—
1607C22—1782no—
1608C22—1782no—
1609C22#1915229314yes—
1610C22C2×#41×D8911yescharacteristic
1611C22C2×#41×D8911yescharacteristic
1612C22C2×#41×D8911yescharacteristic
1613C22C2×#41×D8911yescharacteristic
1614C22H(5,𝔽2)×D8911yescharacteristic
1615C22H(5,𝔽2)×D8911yescharacteristic
1616C22C2×#1566805711yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
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—3561no—
1638C4—1782no—
1639C4—1782no—
1640C4—1782no—
1641C4—1782no—
1642C2—24no—
1643C2—81no—
1644C2—81no—
1645C2—1784no—
1646C2—1784no—
1647C2—7121no—
1648C2#2603354611yescharacteristic
1649C2#553×D8911yescharacteristic
1650C2#553×D8911yescharacteristic
1651C2C2×#1915229311yescharacteristic
1652C2#2603393411yescharacteristic
1653C2#2603393411yescharacteristic
1654C2#2603393811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2444C2
hypercenter#2444D89
hypocenterC89#36607
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #26028533C2semidirect
2. #26028533C2semidirect
3. #26028531C2semidirect
4. #26025478C2semidirect
5. #26025475C2semidirect
6. #26025472C2semidirect
7. #26025215C2semidirect
8. #26025211C2semidirect
9. #26025210C2semidirect
10. #26024815C2semidirect
11. #26024815C2semidirect
12. #26024813C2semidirect
13. #26024812C2semidirect
14. #26024811C2semidirect
15. #26024810C2semidirect
16. #26024008C2semidirect
17. #26024005C2semidirect
18. #26024001C2semidirect
19. #26023997C2semidirect
20. #26023995C2semidirect
21. #26023301C2semidirect
22. #26023297C2semidirect
23. #26023296C2semidirect
24. #26023191C2semidirect
25. #26023190C2semidirect
26. #26023189C2semidirect
27. #26022757C2semidirect
28. #26022753C2semidirect
29. C4×#15667980C2semidirect
30. C2×#95×D89C2semidirect
31. C89×#2444C2semidirect
54. C89⋊#401C22semidirect
55. C89⋊#401C22semidirect
56. #19151540C22semidirect
57. #19151539C22semidirect
58. #19151539C22semidirect
59. #19151539C22semidirect
60. #19151536C22semidirect
61. #19151532C22semidirect
62. #19151531C22semidirect
63. #19151528C22semidirect
64. #19151527C22semidirect
65. #19151527C22semidirect
66. #19151526C22semidirect
67. #19151526C22semidirect
68. #19151526C22semidirect
69. #19151526C22semidirect
70. #19151525C22semidirect
71. #19151514C22semidirect
72. #19151513C22semidirect
73. #19151506C22semidirect
74. #19151492C22semidirect
75. #19151492C22semidirect
76. #19151492C22semidirect
77. #19151492C22semidirect
78. #19151492C22semidirect
79. #19151490C22semidirect
80. #19151488C22semidirect
81. #19151488C22semidirect
82. #19151487C22semidirect
83. #19151486C22semidirect
84. #19151486C22semidirect
85. #19151484C22semidirect
86. #19151483C22semidirect
87. #19151483C22semidirect
88. #19151482C22semidirect
89. #19151481C22semidirect
90. #19151481C22semidirect
91. #19151480C22semidirect
92. #19151480C22semidirect
93. #19151480C22semidirect
94. #19151479C22semidirect
95. #19151479C22semidirect
99. #19151478C22semidirect
103. #19151477C22semidirect
110. #19151475C22semidirect
123. #19151474C22semidirect
124. #19151474C22semidirect
133. #19151465C22semidirect
134. #19151465C22semidirect
135. #19151465C22semidirect
136. #19151460C22semidirect
137. #19151459C22semidirect
150. C22⋊C4×Dic89C22semidirect
153. C4×#13083551C22semidirect
155. C4×C22⋊Dic89C22semidirect
160. #19151443C22semidirect
174. #400×C89C22semidirect
175. #397×C89C22semidirect
176. #397×C89C22semidirect
177. #394×C89C22semidirect
178. #388×C89C22semidirect
179. #387×C89C22semidirect
183. #386×C89C22semidirect
185. #381×C89C22semidirect
848. #2444D89semidirect
859. C89#36607semidirect
891. #400C2×D89semidirect
902. #397C2×D89semidirect
903. #397C2×D89semidirect
906. #394C2×D89semidirect
919. #388C2×D89semidirect
931. #387C2×D89semidirect
964. #386C2×D89semidirect
979. #381C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285332
#260285312
#260254782
#260254752
#260254722
#260252152
#260252112
#260252102
#260248152
#260248132
#260248122
#260248112
#260248102
#260240082
#260240052
#260240012
#260239972
#260239952
#260233012
#260232972
#260232962
#260231912
#260231902
#260231892
#260227572
#260227532
C4×#156679802
C2×#95×D892
C89×#24442
#3660789