Finite Group Databasebeta

← #36761633

Subgroups — #36761633

Order 22784.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028533C211yesmaximal, characteristic, complemented
2#26028531C211yesmaximal, characteristic, complemented
3#26027393C211yesmaximal, characteristic, complemented
4#26027390C211yesmaximal, characteristic, complemented
5#26027389C211yesmaximal, characteristic, complemented
6#26027386C211yesmaximal, characteristic, complemented
7#26027357C211yesmaximal, characteristic, complemented
8#26027356C211yesmaximal, characteristic, complemented
9#26027352C211yesmaximal, characteristic, complemented
10#26027345C211yesmaximal, characteristic, complemented
11#26026842C211yesmaximal, characteristic, complemented
12#26026842C211yesmaximal, characteristic, complemented
13#26026841C211yesmaximal, characteristic, complemented
14#26026835C211yesmaximal, characteristic, complemented
15#26026689C211yesmaximal, characteristic, complemented
16#26026685C211yesmaximal, characteristic, complemented
17#26026684C211yesmaximal, characteristic, complemented
18#26026353C211yesmaximal, characteristic, complemented
19#26026223C211yesmaximal, characteristic, complemented
20#26024005C211yesmaximal, characteristic, complemented
21#26023999C211yesmaximal, characteristic, complemented
22#26023999C211yesmaximal, characteristic, complemented
23#26023997C211yesmaximal, characteristic, complemented
24#26023791C211yesmaximal, characteristic, complemented
25#26023787C211yesmaximal, characteristic, complemented
26#26023785C211yesmaximal, characteristic, complemented
27#26023781C211yesmaximal, characteristic, complemented
28#26022954C211yesmaximal, characteristic, complemented
29#26022949C211yesmaximal, characteristic, complemented
30#381×D89C211yesmaximal, characteristic, complemented
31C89×#2688C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C2×#15667986C2211yescharacteristic
34C2×#15667985C2211yescharacteristic
35C2×#15667985C2211yescharacteristic
36C2×#15667985C2211yescharacteristic
37C2×#15667985C2211yescharacteristic
38C2×#15667984C2211yescharacteristic
39C2×#15667984C2211yescharacteristic
40C2×#15667983C2211yescharacteristic
41C2×#15667983C2211yescharacteristic
42C2×#15667983C2211yescharacteristic
43C2×#15667983C2211yescharacteristic
44C2×#15667983C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667980C2211yescharacteristic
47C2×#15667980C2211yescharacteristic
48C2×#15667980C2211yescharacteristic
49C2×#15667974C2211yescharacteristic
50C2×C4×C22⋊D89C2211yescharacteristic
51C2×C4×C22⋊D89C2211yescharacteristic
52C2×#15667972C2211yescharacteristic
53C2×C22⋊C4×D89C2211yescharacteristic
54C2×C22⋊C4×D89C2211yescharacteristic
55#19151540C2211yescharacteristic, complemented
56#19151540C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151539C2211yescharacteristic, complemented
59#19151538C2211yescharacteristic, complemented
60#19151537C2211yescharacteristic, complemented
61#19151536C2211yescharacteristic, complemented
62#19151535C2211yescharacteristic, complemented
63#19151534C2211yescharacteristic, complemented
64#19151534C2211yescharacteristic, complemented
65#19151534C2211yescharacteristic, complemented
66#19151532C2211yescharacteristic, complemented
67#19151532C2211yescharacteristic, complemented
68#19151531C2211yescharacteristic, complemented
69#19151530C2211yescharacteristic, complemented
70#19151527C2211yescharacteristic, complemented
71#19151527C2211yescharacteristic, complemented
72#19151526C2211yescharacteristic, complemented
73#19151526C2211yescharacteristic, complemented
74#19151523C2211yescharacteristic, complemented
75#19151523C2211yescharacteristic, complemented
76#19151521C2211yescharacteristic
77#19151521C2211yescharacteristic
78#19151520C2211yescharacteristic
79#19151520C2211yescharacteristic
80#19151516C2211yescharacteristic
81#19151514C2211yescharacteristic
82#19151514C2211yescharacteristic, complemented
83#19151513C2211yescharacteristic
84#19151513C2211yescharacteristic
85#19151513C2211yescharacteristic
86#19151513C2211yescharacteristic, complemented
87#19151512C2211yescharacteristic
88#19151512C2211yescharacteristic
89#19151512C2211yescharacteristic, complemented
90#19151512C2211yescharacteristic, complemented
91#19151507C2211yescharacteristic
92#19151506C2211yescharacteristic
93#19151506C2211yescharacteristic
94#19151506C2211yescharacteristic, complemented
95#19151506C2211yescharacteristic, complemented
96#19151506C2211yescharacteristic, complemented
97#19151501C2211yescharacteristic
98#19151498C2211yescharacteristic
99#19151498C2211yescharacteristic
100#19151498C2211yescharacteristic
101#19151492C2211yescharacteristic
102#19151492C2211yescharacteristic, complemented
103#19151491C2211yescharacteristic
104#19151491C2211yescharacteristic, complemented
105#19151491C2211yescharacteristic, complemented
106#19151491C2211yescharacteristic, complemented
107#19151490C2211yescharacteristic
108#19151490C2211yescharacteristic, complemented
109#19151488C2211yescharacteristic, complemented
110#19151487C2211yescharacteristic
111#19151486C2211yescharacteristic, complemented
112#19151486C2211yescharacteristic, complemented
113#19151485C2211yescharacteristic, complemented
114#19151485C2211yescharacteristic, complemented
115#19151483C2211yescharacteristic, complemented
116#19151483C2211yescharacteristic, complemented
117#19151481C2211yescharacteristic, complemented
118#19151480C2211yescharacteristic, complemented
119#19151480C2211yescharacteristic, complemented
120#19151479C2211yescharacteristic, complemented
121#19151478C2211yescharacteristic
122#19151478C2211yescharacteristic
123#19151478C2211yescharacteristic
124#19151478C2211yescharacteristic, complemented
125#19151477C2211yescharacteristic
126#19151477C2211yescharacteristic
127#19151477C2211yescharacteristic, complemented
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151475C2211yescharacteristic, complemented
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic
139#19151474C2211yescharacteristic
140#19151474C2211yescharacteristic
141#19151474C2211yescharacteristic
142#19151474C2211yescharacteristic, complemented
143#19151474C2211yescharacteristic, complemented
144#19151472C2211yescharacteristic
145#19151472C2211yescharacteristic
146#19151472C2211yescharacteristic
147#19151471C2211yescharacteristic, complemented
148#19151470C2211yescharacteristic, complemented
149#19151469C2211yescharacteristic
150#19151469C2211yescharacteristic, complemented
151#19151461C2211yescharacteristic
152#19151461C2211yescharacteristic, complemented
153#19151461C2211yescharacteristic, complemented
154#19151460C2211yescharacteristic
155#19151460C2211yescharacteristic
156#19151460C2211yescharacteristic
157#19151460C2211yescharacteristic
158#19151460C2211yescharacteristic, complemented
159#19151459C2211yescharacteristic
160#19151459C2211yescharacteristic
161#19151459C2211yescharacteristic, complemented
162#19151458C2211yescharacteristic
163#19151457C2211yescharacteristic
164#19151457C2211yescharacteristic
165#19151456C2211yescharacteristic
166#19151455C2211yescharacteristic
167#19151455C2211yescharacteristic
168#95×D89C2211yescharacteristic
169#95×D89C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172C2×#121×C89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174#400×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#394×C89C2211yescharacteristic
178#392×C89C2211yescharacteristic
179#392×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic, complemented
183#386×C89C2211yescharacteristic, complemented
184#386×C89C2211yescharacteristic, complemented
185#385×C89C2211yescharacteristic, complemented
186#381×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
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C22×C4×D89—24no—
203C22×C4×D89—42no—
204C22×C4×D89—42no—
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
214#15667986—42no—
215#15667985—24no—
216#15667985—42no—
217#15667985—42no—
218#15667985—42no—
219#15667984—42no—
220#15667984—42no—
221#15667983—24no—
222#15667983—42no—
223#15667983—42no—
224#15667983—42no—
225#15667983—42no—
226#15667982—42no—
227#15667980—42no—
228#15667980—42no—
229#15667980—42no—
230#15667974—42no—
231C4×C22⋊D89—42no—
232C4×C22⋊D89—42no—
233#15667972—42no—
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
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×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
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
292C22⋊C4×D89—42no—
293C22⋊C4×D89—42no—
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
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
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341#121×C89—42no—
342#121×C89—42no—
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊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
359#95×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
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C2×D356—22no—
380C2×D356—22no—
381C2×D356—22no—
382C2×D356—22no—
383C2×D356—41no—
384C2×D356—41no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—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—41no—
400C2×C22⋊D89—41no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C22×Dic89—22no—
416C22×Dic89—22no—
417C22×Dic89—41no—
418C22×Dic89—41no—
419C22×Dic89—41no—
420C22×Dic89—41no—
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—41no—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—416no—
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#4114yes—
462C4⋊Dic89—22no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465C4⋊Dic89—41no—
466C4⋊Dic89—41no—
467C4⋊Dic89—41no—
468C4⋊Dic89—41no—
469#13083553—22no—
470#13083553—41no—
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#13083553—41no—
481C22⋊Dic89—22no—
482C22⋊Dic89—22no—
483C22⋊Dic89—22no—
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⋊Dic89—41no—
495C22⋊Dic89—41no—
496C22⋊Dic89—41no—
497C22⋊Dic89—41no—
498C22⋊Dic89—41no—
499C22⋊Dic89—41no—
500#13083551—22no—
501#13083551—22no—
502#13083551—22no—
503#13083551—22no—
504#13083551—22no—
505#13083551—22no—
506#13083551—22no—
507#13083551—41no—
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—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89—41no—
524C24×C89C2411yescharacteristic
525C24×C89C2411yescharacteristic
526C24×C89C2411yescharacteristic
527C24×C89C2411yescharacteristic
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—22no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C2×D4×C89—41no—
538C2×D4×C89—41no—
539C2×D4×C89—41no—
540C2×D4×C89—41no—
541C2×D4×C89—41no—
542C2×D4×C89—41no—
543C2×D4×C89—41no—
544C2×D4×C89—41no—
545C2×D4×C89—41no—
546C22×C4×C89—22no—
547C22×C4×C89—22no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89—41no—
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
565C22×C4×C89C2411yescharacteristic
566C4⋊C4×C89—41no—
567C4⋊C4×C89—41no—
568C4⋊C4×C89—41no—
569C22⋊C4×C89—22no—
570C22⋊C4×C89—22no—
571C22⋊C4×C89—41no—
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—
580C22⋊C4×C89—41no—
581C22⋊C4×C89—41no—
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×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89H(5,𝔽2)12yes—
610C23×C89C2511yescharacteristic
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—28no—
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—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—44no—
630C22×D89—44no—
631C22×D89—44no—
632C22×D89—44no—
633C22×D89—44no—
634C22×D89—44no—
635C22×D89C2×#4112yes—
636C22×D89H(5,𝔽2)12yes—
637C22×D89H(5,𝔽2)12yes—
638C22×D89H(5,𝔽2)12yes—
639D4×C89—82no—
640D4×C89—82no—
641D4×C89—82no—
642D4×C89—82no—
643D4×C89—82no—
644D4×C89—82no—
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—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—44no—
678C2×C4×C89—82no—
679C2×C4×C89—82no—
680C2×C4×C89C2×#4112yes—
681C22⋊D89—44no—
682C22⋊D89—44no—
683C22⋊D89—44no—
684C22⋊D89—82no—
685C22⋊D89—82no—
686C22⋊D89—82no—
687C22⋊D89—82no—
688C22⋊D89—82no—
689C22⋊D89—82no—
690C22⋊D89—82no—
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—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—21no—
728C2×Dic89—21no—
729C2×Dic89—44no—
730C2×Dic89—82no—
731C2×Dic89C2×#4112yes—
732D356—44no—
733D356—82no—
734C4×D89—44no—
735C4×D89—44no—
736C4×D89—44no—
737C4×D89—44no—
738C4×D89—82no—
739C4×D89—82no—
740C4×D89—82no—
741C4×D89—82no—
742C4×D89—82no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—22no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89C22×#4111yescharacteristic
772C22×C89C2×H(5,𝔽2)11yescharacteristic
773C22×C89C2×H(5,𝔽2)11yescharacteristic
774C22×C89C2×H(5,𝔽2)11yescharacteristic
775C22×C89C2×H(5,𝔽2)11yescharacteristic
776C22×C89#58511yescharacteristic
777C22×C89#58511yescharacteristic
778C2×D89—22no—
779C2×D89—22no—
780C2×D89—22no—
781C2×D89—22no—
782C2×D89—22no—
783C2×D89—22no—
784C2×D89—22no—
785C2×D89—22no—
786C2×D89—22no—
787C2×D89—416no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C2×D89—41no—
798C2×D89—41no—
799C2×D89#54014yes—
800C4×C89—22no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811Dic89—22no—
812Dic89—41no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822Dic89—41no—
823Dic89—41no—
824#36731—891nomaximal, Sylow
825C2×C89—42no—
826C2×C89—81no—
827C2×C89—81no—
828C2×C89—81no—
829C2×C89C2×#54011yescharacteristic
830C2×C89#349011yescharacteristic
831C2×C89#349311yescharacteristic
832C2×C89#353411yescharacteristic
833C2×C89#353411yescharacteristic
834C2×C89#353411yescharacteristic
835C2×C89#353411yescharacteristic
836D89—24no—
837D89—42no—
838D89—81no—
839#2847—891no—
840#2847—891no—
841#2743—891no—
842#2743—891no—
843#2743—891no—
844#2743—891no—
845#2740—891no—
846#2740—891no—
847#2740—891no—
848#2740—891no—
849#2699—891no—
850#2699—891no—
851#2699—891no—
852#2699—891no—
853#2688—891no—
854#2688—891no—
855#2688—891no—
856#2688D8911yescharacteristic, complemented
857#2656—891no—
858#2646—891no—
859#2444—891no—
860#2444—891no—
861#2444—891no—
862#2444—891no—
863#2424—891no—
864#2424—891no—
865#2424—891no—
866#2424—891no—
867#2325—891no—
868#2325—891no—
869C2×#381—891no—
870C89#3673111yescharacteristic, complemented, Sylow
871C24×C4—891no—
872C2×#121—891no—
873C2×#121—891no—
874C2×#121—891no—
875C2×#121—891no—
876C2×#121—891no—
877C2×#121—891no—
878C2×#121—891no—
879C2×#121—891no—
880C2×#121—891no—
881C2×#121—891no—
882C2×#121—891no—
883C2×#121—891no—
884C2×#121C2×D8911yescharacteristic
885C2×#121C2×D8911yescharacteristic
886C2×#120—891no—
887C2×#120—891no—
888C2×#120—891no—
889C2×#120—891no—
890C2×C4×D4—891no—
891C2×C4×D4—891no—
892C2×C4×D4—891no—
893C2×C4×D4—891no—
894C22×C22⋊C4—891no—
895C22×C22⋊C4—891no—
896#400—891no—
897#400—891no—
898#400—891no—
899#400—891no—
900#400—891no—
901#400—891no—
902#400—891no—
903#400C2×D8911yescharacteristic, complemented
904#399—891no—
905#399—891no—
906#399—891no—
907#399—891no—
908#398—891no—
909#398—891no—
910#398—891no—
911#398—891no—
912#397—891no—
913#397—891no—
914#397—891no—
915#397—891no—
916#397—891no—
917#397—891no—
918#397C2×D8911yescharacteristic, complemented
919#397C2×D8911yescharacteristic, complemented
920#396—891no—
921#396—891no—
922#396—891no—
923#396—891no—
924#394—891no—
925#394—891no—
926#394—891no—
927#394—891no—
928#394—891no—
929#394—891no—
930#394—891no—
931#394—891no—
932#394—891no—
933#394—891no—
934#394—891no—
935#394C2×D8911yescharacteristic
936#392—891no—
937#392—891no—
938#392—891no—
939#392—891no—
940#392—891no—
941#392—891no—
942#392C2×D8911yescharacteristic
943#392C2×D8911yescharacteristic, complemented
944#390—891no—
945#390—891no—
946#390—891no—
947#390—891no—
948#388—891no—
949#388—891no—
950#388—891no—
951#388—891no—
952#388—891no—
953#388—891no—
954#388—891no—
955#388—891no—
956#388—891no—
957#388—891no—
958#388—891no—
959#388—891no—
960#387—891no—
961#387—891no—
962#387—891no—
963#387—891no—
964#387—891no—
965#387—891no—
966#387—891no—
967#387—891no—
968#386—891no—
969#386—891no—
970#386—891no—
971#386—891no—
972#386—891no—
973#386—891no—
974#386—891no—
975#386—891no—
976#386—891no—
977#386—891no—
978#386—891no—
979#386—891no—
980#386—891no—
981#386—891no—
982#386—891no—
983#386—891no—
984#386—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386C2×D8911yescharacteristic
992#386C2×D8911yescharacteristic
993#386C2×D8911yescharacteristic, complemented
994#386C2×D8911yescharacteristic, complemented
995#386C2×D8911yescharacteristic, complemented
996#385—891no—
997#385—891no—
998#385—891no—
999#385—891no—
1000#385—891no—
1001#385—891no—
1002#385—891no—
1003#385C2×D8911yescharacteristic, complemented
1004#381—891no—
1005#381—891no—
1006#381—891no—
1007#381—891no—
1008#381—891no—
1009#381—891no—
1010#381—891no—
1011#381—891no—
1012#381—891no—
1013#381—891no—
1014#381—891no—
1015#381C2×D8911yescharacteristic
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#380—891no—
1021#380—891no—
1022C2×#95—891no—
1023C2×#95—891no—
1024C2×#95—891no—
1025C2×#95—891no—
1026C25—891no—
1027C22×D4—891no—
1028C22×D4—891no—
1029C22×D4—891no—
1030C22×D4—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4C22×D8911yescharacteristic
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C22×D4C22×D8911yescharacteristic
1044C22×D4C22×D8911yescharacteristic
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4—891no—
1053C23×C4—891no—
1054C23×C4—891no—
1055C23×C4—891no—
1056C23×C4—3562no—
1057C23×C4—3562no—
1058C23×C4—1784no—
1059C23×C4C22×D8911yescharacteristic
1060C23×C4C22×D8911yescharacteristic
1061C23×C4C22×D8911yescharacteristic
1062#121—42no—
1063#121—42no—
1064#121—3562no—
1065#121—3562no—
1066#121—3562no—
1067#121—3562no—
1068#121—3562no—
1069#121—3562no—
1070#121—3562no—
1071#121—3562no—
1072#121—3562no—
1073#121—3562no—
1074#121—1784no—
1075#121—1784no—
1076#120—3562no—
1077#120—3562no—
1078#120—3562no—
1079#120—3562no—
1080C4×D4—3562no—
1081C4×D4—3562no—
1082C4×D4—3562no—
1083C4×D4—3562no—
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⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4—891no—
1103C2×C4⋊C4C22×D8911yescharacteristic
1104C2×C4⋊C4C22×D8911yescharacteristic
1105C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1140C2×C22⋊C4—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—3562no—
1146C2×C22⋊C4—3562no—
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C22⋊C4C22×D8911yescharacteristic
1149C2×C22⋊C4C22×D8911yescharacteristic
1150C2×C22⋊C4C22×D8911yescharacteristic
1151C2×C22⋊C4C22×D8911yescharacteristic
1152C2×C22⋊C4C22×D8911yescharacteristic
1153C2×C22⋊C4C22×D8911yescharacteristic
1154C2×C22⋊C4C22×D8911yescharacteristic
1155C2×C22⋊C4C22×D8911yescharacteristic
1156C2×C22⋊C4C22×D8911yescharacteristic
1157C2×C22⋊C4C22×D8911yescharacteristic
1158C2×C22⋊C4C22×D8911yescharacteristic
1159C2×C22⋊C4C22×D8911yescharacteristic
1160C2×C42—891no—
1161C2×C42—891no—
1162C2×C42—891no—
1163C2×C42—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203#95C22×D8911yescharacteristic
1204#95C22×D8911yescharacteristic
1205#95C22×D8911yescharacteristic
1206#95C22×D8911yescharacteristic
1207#95C22×D8911yescharacteristic
1208C24—891no—
1209C24—891no—
1210C24—891no—
1211C24—3561no—
1212C24—3561no—
1213C24—1782no—
1214C24—1782no—
1215C24—1782no—
1216C24—1782no—
1217C24—1782no—
1218C24C23×D8911yescharacteristic
1219C24C23×D8911yescharacteristic
1220C24C23×D8911yescharacteristic
1221C24C23×D8911yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
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—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—1782no—
1259C2×D4—1782no—
1260C2×D4—1782no—
1261C2×D4—1782no—
1262C2×D4—1782no—
1263C2×D4—1782no—
1264C2×D4—1782no—
1265C2×D4—1782no—
1266C2×D4—1782no—
1267C2×D4—1782no—
1268C2×D4—1782no—
1269C2×D4—1782no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—891no—
1286C22×C4—894no—
1287C22×C4—891no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—3561no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—3561no—
1310C22×C4—3561no—
1311C22×C4—3561no—
1312C22×C4—3561no—
1313C22×C4—3561no—
1314C22×C4—3561no—
1315C22×C4—3561no—
1316C22×C4—35616no—
1317C22×C4—3561no—
1318C22×C4—3561no—
1319C22×C4—3561no—
1320C22×C4—3561no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
1325C22×C4—1782no—
1326C22×C4—1782no—
1327C22×C4—1782no—
1328C22×C4—1782no—
1329C22×C4—1782no—
1330C22×C4—1782no—
1331C22×C4—1782no—
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C22×C4C23×D8911yescharacteristic
1341C22×C4C23×D8911yescharacteristic
1342C22×C4C23×D8911yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—3561no—
1356C4⋊C4—3561no—
1357C4⋊C4—3561no—
1358C4⋊C4—3561no—
1359C4⋊C4—3561no—
1360C4⋊C4—3561no—
1361C4⋊C4—3561no—
1362C4⋊C4—3561no—
1363C4⋊C4—1782no—
1364C4⋊C4—1782no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—1782no—
1408C22⋊C4—1782no—
1409C22⋊C4—1782no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C42—3561no—
1418C42—3561no—
1419C42—3561no—
1420C42—3561no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—892no—
1449C23—892no—
1450C23—892no—
1451C23—892no—
1452C23—3564no—
1453C23—3564no—
1454C23—3564no—
1455C23—3564no—
1456C23—3564no—
1457C23—3564no—
1458C23—1788no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1781no—
1467C23—1781no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23#1566805712yes—
1477C23C24×D8911yescharacteristic
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—3564no—
1485D4—3564no—
1486D4—3564no—
1487D4—3564no—
1488D4—7122no—
1489D4—7122no—
1490D4—7122no—
1491D4—7122no—
1492D4—7122no—
1493D4—7122no—
1494D4—7122no—
1495D4—7122no—
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—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—892no—
1532C2×C4—3564no—
1533C2×C4—3564no—
1534C2×C4—3564no—
1535C2×C4—3564no—
1536C2×C4—3564no—
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—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—1781no—
1569C2×C4—1781no—
1570C2×C4—1781no—
1571C2×C4—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—7122no—
1576C2×C4—7122no—
1577C2×C4—7122no—
1578C2×C4—7122no—
1579C2×C4—7122no—
1580C2×C4—7122no—
1581C2×C4#41×D8912yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—894no—
1611C22—35616no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—3561no—
1621C22—3561no—
1622C22—3561no—
1623C22—1782no—
1624C22—1782no—
1625C22—1782no—
1626C22—1782no—
1627C22—1782no—
1628C22—1782no—
1629C22—1782no—
1630C22—1782no—
1631C22—1782no—
1632C22C2×#41×D8911yescharacteristic
1633C22H(5,𝔽2)×D8911yescharacteristic
1634C22H(5,𝔽2)×D8911yescharacteristic
1635C22H(5,𝔽2)×D8911yescharacteristic
1636C22C2×#1566805711yescharacteristic
1637C22#1915243311yescharacteristic
1638C22#1915243411yescharacteristic
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—3561no—
1656C4—3561no—
1657C4—3561no—
1658C4—3561no—
1659C4—3561no—
1660C4—3561no—
1661C4—3561no—
1662C4—1782no—
1663C2—42no—
1664C2—81no—
1665C2—81no—
1666C2—81no—
1667C2—3562no—
1668C2—1784no—
1669C2—7121no—
1670C2#540×D8911yescharacteristic
1671C2#2603393411yescharacteristic
1672C2#2603396811yescharacteristic
1673C2#2603443211yescharacteristic
1674C2#2603443311yescharacteristic
1675C2#2603443411yescharacteristic
1676C2#2603444111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2688C2
hypercenter#2688D89
hypocenterC89#36731
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. #26028533C2semidirect
2. #26028531C2semidirect
3. #26027393C2semidirect
4. #26027390C2semidirect
5. #26027389C2semidirect
6. #26027386C2semidirect
7. #26027357C2semidirect
8. #26027356C2semidirect
9. #26027352C2semidirect
10. #26027345C2semidirect
11. #26026842C2semidirect
12. #26026842C2semidirect
13. #26026841C2semidirect
14. #26026835C2semidirect
15. #26026689C2semidirect
16. #26026685C2semidirect
17. #26026684C2semidirect
18. #26026353C2semidirect
19. #26026223C2semidirect
20. #26024005C2semidirect
21. #26023999C2semidirect
22. #26023999C2semidirect
23. #26023997C2semidirect
24. #26023791C2semidirect
25. #26023787C2semidirect
26. #26023785C2semidirect
27. #26023781C2semidirect
28. #26022954C2semidirect
29. #26022949C2semidirect
30. #381×D89C2semidirect
31. C89×#2688C2semidirect
55. #19151540C22semidirect
56. #19151540C22semidirect
57. #19151539C22semidirect
58. #19151539C22semidirect
59. #19151538C22semidirect
60. #19151537C22semidirect
61. #19151536C22semidirect
62. #19151535C22semidirect
63. #19151534C22semidirect
64. #19151534C22semidirect
65. #19151534C22semidirect
66. #19151532C22semidirect
67. #19151532C22semidirect
68. #19151531C22semidirect
69. #19151530C22semidirect
70. #19151527C22semidirect
71. #19151527C22semidirect
72. #19151526C22semidirect
73. #19151526C22semidirect
74. #19151523C22semidirect
75. #19151523C22semidirect
82. #19151514C22semidirect
86. #19151513C22semidirect
89. #19151512C22semidirect
90. #19151512C22semidirect
94. #19151506C22semidirect
95. #19151506C22semidirect
96. #19151506C22semidirect
102. #19151492C22semidirect
104. #19151491C22semidirect
105. #19151491C22semidirect
106. #19151491C22semidirect
108. #19151490C22semidirect
109. #19151488C22semidirect
111. #19151486C22semidirect
112. #19151486C22semidirect
113. #19151485C22semidirect
114. #19151485C22semidirect
115. #19151483C22semidirect
116. #19151483C22semidirect
117. #19151481C22semidirect
118. #19151480C22semidirect
119. #19151480C22semidirect
120. #19151479C22semidirect
124. #19151478C22semidirect
127. #19151477C22semidirect
132. #19151475C22semidirect
142. #19151474C22semidirect
143. #19151474C22semidirect
147. #19151471C22semidirect
148. #19151470C22semidirect
150. #19151469C22semidirect
152. #19151461C22semidirect
153. #19151461C22semidirect
158. #19151460C22semidirect
161. #19151459C22semidirect
174. #400×C89C22semidirect
175. #397×C89C22semidirect
176. #397×C89C22semidirect
179. #392×C89C22semidirect
182. #386×C89C22semidirect
183. #386×C89C22semidirect
184. #386×C89C22semidirect
185. #385×C89C22semidirect
856. #2688D89semidirect
870. C89#36731semidirect
903. #400C2×D89semidirect
918. #397C2×D89semidirect
919. #397C2×D89semidirect
943. #392C2×D89semidirect
993. #386C2×D89semidirect
994. #386C2×D89semidirect
995. #386C2×D89semidirect
1003. #385C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285332
#260285312
#260273932
#260273902
#260273892
#260273862
#260273572
#260273562
#260273522
#260273452
#260268422
#260268412
#260268352
#260266892
#260266852
#260266842
#260263532
#260262232
#260240052
#260239992
#260239972
#260237912
#260237872
#260237852
#260237812
#260229542
#260229492
#381×D892
C89×#26882
#3673189