Finite Group Databasebeta

← #36768596

Subgroups — #36768596

Order 22784.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028579C211yesmaximal, characteristic, complemented
2#26028572C211yesmaximal, characteristic, complemented
3#26028102C211yesmaximal, characteristic, complemented
4#26027888C211yesmaximal, characteristic, complemented
5#26027883C211yesmaximal, characteristic, complemented
6#26027869C211yesmaximal, characteristic, complemented
7#26027765C211yesmaximal, characteristic, complemented
8#26027689C211yesmaximal, characteristic, complemented
9#26027527C211yesmaximal, characteristic, complemented
10#26027511C211yesmaximal, characteristic, complemented
11#26027488C211yesmaximal, characteristic, complemented
12#26027365C211yesmaximal, characteristic, complemented
13#26027289C211yesmaximal, characteristic, complemented
14#26026887C211yesmaximal, characteristic, complemented
15#26026815C211yesmaximal, characteristic, complemented
16#26026807C211yesmaximal, characteristic, complemented
17#26026643C211yesmaximal, characteristic, complemented
18#26026204C211yesmaximal, characteristic, complemented
19#26026181C211yesmaximal, characteristic, complemented
20#26024571C211yesmaximal, characteristic, complemented
21#26024508C211yesmaximal, characteristic, complemented
22#26023994C211yesmaximal, characteristic, complemented
23#26023912C211yesmaximal, characteristic, complemented
24#26023808C211yesmaximal, characteristic, complemented
25#26023641C211yesmaximal, characteristic, complemented
26#26023628C211yesmaximal, characteristic
27#26023577C211yesmaximal, characteristic, complemented
28#26022914C211yesmaximal, characteristic, complemented
29#26022828C211yesmaximal, characteristic, complemented
30#388×D89C211yesmaximal, characteristic, complemented
31C89×#2736C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15667997C2211yescharacteristic, complemented
35C2×#15667994C2211yescharacteristic
36C2×#15667994C2211yescharacteristic
37C2×#15667994C2211yescharacteristic, complemented
38C2×#15667988C2211yescharacteristic, complemented
39C2×#15667988C2211yescharacteristic, complemented
40C2×#15667985C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667982C2211yescharacteristic
43C2×#15667981C2211yescharacteristic
44C2×C4×D356C2211yescharacteristic, complemented
45C2×C4⋊C4×D89C2211yescharacteristic, complemented
46C2×C22⋊C4×D89C2211yescharacteristic
47C2×C22⋊C4×D89C2211yescharacteristic
48C2×C22⋊C4×D89C2211yescharacteristic
49C2×C22⋊C4×D89C2211yescharacteristic
50C2×C42×D89C2211yescharacteristic, complemented
51C89⋊#401C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151538C2211yescharacteristic, complemented
59#19151537C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151534C2211yescharacteristic
62#19151534C2211yescharacteristic, complemented
63#19151531C2211yescharacteristic, complemented
64#19151530C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic
67#19151526C2211yescharacteristic, complemented
68#19151526C2211yescharacteristic, complemented
69#19151525C2211yescharacteristic, complemented
70#19151525C2211yescharacteristic, complemented
71#19151523C2211yescharacteristic, complemented
72#19151523C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic
74#19151521C2211yescharacteristic
75#19151521C2211yescharacteristic, complemented
76#19151521C2211yescharacteristic, complemented
77#19151521C2211yescharacteristic, complemented
78#19151514C2211yescharacteristic
79#19151514C2211yescharacteristic
80#19151514C2211yescharacteristic
81#19151514C2211yescharacteristic, complemented
82#19151514C2211yescharacteristic, complemented
83#19151513C2211yescharacteristic
84#19151513C2211yescharacteristic
85#19151513C2211yescharacteristic
86#19151513C2211yescharacteristic
87#19151513C2211yescharacteristic
88#19151513C2211yescharacteristic, complemented
89#19151513C2211yescharacteristic, complemented
90#19151509C2211yescharacteristic, complemented
91#19151507C2211yescharacteristic
92#19151507C2211yescharacteristic
93#19151505C2211yescharacteristic, complemented
94#19151499C2211yescharacteristic, complemented
95#19151498C2211yescharacteristic
96#19151498C2211yescharacteristic, complemented
97#19151498C2211yescharacteristic, complemented
98#19151496C2211yescharacteristic, complemented
99#19151495C2211yescharacteristic, complemented
100#19151493C2211yescharacteristic, complemented
101#19151492C2211yescharacteristic
102#19151492C2211yescharacteristic, complemented
103#19151492C2211yescharacteristic, complemented
104#19151491C2211yescharacteristic
105#19151491C2211yescharacteristic
106#19151491C2211yescharacteristic, complemented
107#19151491C2211yescharacteristic, complemented
108#19151490C2211yescharacteristic, complemented
109#19151490C2211yescharacteristic, complemented
110#19151490C2211yescharacteristic, complemented
111#19151489C2211yescharacteristic, complemented
112#19151489C2211yescharacteristic, complemented
113#19151489C2211yescharacteristic, complemented
114#19151488C2211yescharacteristic, complemented
115#19151487C2211yescharacteristic, complemented
116#19151486C2211yescharacteristic
117#19151486C2211yescharacteristic, complemented
118#19151486C2211yescharacteristic, complemented
119#19151486C2211yescharacteristic, complemented
120#19151485C2211yescharacteristic, complemented
121#19151484C2211yescharacteristic, complemented
122#19151483C2211yescharacteristic, complemented
123#19151482C2211yescharacteristic, complemented
124#19151482C2211yescharacteristic, complemented
125#19151481C2211yescharacteristic, complemented
126#19151481C2211yescharacteristic, complemented
127#19151476C2211yescharacteristic, complemented
128#19151476C2211yescharacteristic, complemented
129#19151476C2211yescharacteristic, complemented
130#19151476C2211yescharacteristic, complemented
131#19151476C2211yescharacteristic, complemented
132#19151475C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic
139#19151474C2211yescharacteristic
140#19151474C2211yescharacteristic
141#19151474C2211yescharacteristic
142#19151474C2211yescharacteristic
143#19151474C2211yescharacteristic
144#19151474C2211yescharacteristic
145#19151474C2211yescharacteristic
146#19151474C2211yescharacteristic, complemented
147#19151473C2211yescharacteristic
148#19151472C2211yescharacteristic, complemented
149#19151472C2211yescharacteristic, complemented
150#19151472C2211yescharacteristic, complemented
151#19151472C2211yescharacteristic, complemented
152#19151472C2211yescharacteristic, complemented
153#19151470C2211yescharacteristic
154#19151470C2211yescharacteristic
155#19151469C2211yescharacteristic, complemented
156#19151469C2211yescharacteristic, complemented
157#19151462C2211yescharacteristic, complemented
158#19151460C2211yescharacteristic, complemented
159#19151459C2211yescharacteristic
160#19151459C2211yescharacteristic
161#19151457C2211yescharacteristic, complemented
162#19151457C2211yescharacteristic, complemented
163#19151457C2211yescharacteristic, complemented
164#19151457C2211yescharacteristic, complemented
165#19151455C2211yescharacteristic, complemented
166#19151454C2211yescharacteristic
167#19151454C2211yescharacteristic
168#19151453C2211yescharacteristic
169#19151445C2211yescharacteristic, complemented
170#95×D89C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172#397×C89C2211yescharacteristic
173#397×C89C2211yescharacteristic, complemented
174#397×C89C2211yescharacteristic, complemented
175#393×C89C2211yescharacteristic
176#393×C89C2211yescharacteristic, complemented
177#393×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic
179#388×C89C2211yescharacteristic
180#388×C89C2211yescharacteristic, complemented
181#388×C89C2211yescharacteristic, complemented
182#388×C89C2211yescharacteristic, complemented
183#388×C89C2211yescharacteristic, complemented
184#379×C89C2211yescharacteristic
185#379×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×C22⋊D89—24no—
191C22×C22⋊D89—42no—
192C22×C22⋊D89—42no—
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210#15668005—42no—
211#15667997—42no—
212#15667994—42no—
213#15667994—42no—
214#15667994—42no—
215#15667988—42no—
216#15667988—42no—
217#15667985—42no—
218#15667985—42no—
219#15667982—24no—
220#15667981—42no—
221C4×D356—42no—
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C4⋊C4×D89—42no—
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C22⋊C4×D89—24no—
285C22⋊C4×D89—42no—
286C22⋊C4×D89—42no—
287C22⋊C4×D89—42no—
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C42×D89—42no—
294#15667919C2311yescharacteristic
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
328C25×C89C2311yescharacteristic
329C22×Q8×C89C2311yescharacteristic
330C2×C4⋊C4×C89C2311yescharacteristic
331C2×C4⋊C4×C89C2311yescharacteristic
332C2×C4⋊C4×C89C2311yescharacteristic
333C2×C22⋊C4×C89C2311yescharacteristic
334C2×C22⋊C4×C89C2311yescharacteristic
335C2×C22⋊C4×C89C2311yescharacteristic
336C2×C22⋊C4×C89C2311yescharacteristic
337C2×C22⋊C4×C89C2311yescharacteristic
338C2×C22⋊C4×C89C2311yescharacteristic
339C2×C22⋊C4×C89C2311yescharacteristic
340C2×C22⋊C4×C89C2311yescharacteristic
341C2×C22⋊C4×C89C2311yescharacteristic
342C2×C22⋊C4×C89C2311yescharacteristic
343C2×C22⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C42×C89C2311yescharacteristic
352C2×C42×C89C2311yescharacteristic
353#95×C89C2311yescharacteristic
354#95×C89C2311yescharacteristic
355#95×C89C2311yescharacteristic
356#95×C89C2311yescharacteristic
357#95×C89C2311yescharacteristic
358#95×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363C23×D89—22no—
364C23×D89—22no—
365C23×D89—41no—
366C23×D89—41no—
367C23×D89—41no—
368C23×D89—41no—
369C23×D89#4114yes—
370C23×D89C2411yescharacteristic
371C23×D89C2411yescharacteristic
372C23×D89C2411yescharacteristic
373C2×D356—22no—
374C2×D356—22no—
375C2×D356—22no—
376C2×D356—22no—
377C2×D356—41no—
378C2×D356—41no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—416no—
401C22×Dic89—22no—
402C22×Dic89—41no—
403C22×Dic89—41no—
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C2×C4×D89—22no—
418C2×C4×D89—22no—
419C2×C4×D89—22no—
420C2×C4×D89—22no—
421C2×C4×D89—22no—
422C2×C4×D89—22no—
423C2×C4×D89—22no—
424C2×C4×D89—22no—
425C2×C4×D89—22no—
426C2×C4×D89—41no—
427C2×C4×D89—41no—
428C2×C4×D89—41no—
429C2×C4×D89—41no—
430C2×C4×D89—41no—
431C2×C4×D89—41no—
432C2×C4×D89—41no—
433C2×C4×D89—41no—
434C2×C4×D89—41no—
435C2×C4×D89—41no—
436C2×C4×D89—41no—
437C2×C4×D89—41no—
438C2×C4×D89—41no—
439C2×C4×D89—41no—
440C2×C4×D89—41no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C4⋊Dic89—22no—
445C4⋊Dic89—22no—
446C4⋊Dic89—41no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450C4⋊Dic89—41no—
451C4⋊Dic89—41no—
452#13083553—22no—
453#13083553—22no—
454#13083553—41no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462#13083553—41no—
463#13083553—41no—
464#13083553—41no—
465#13083553—41no—
466#13083553—41no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—22no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482#13083551—22no—
483#13083551—22no—
484#13083551—22no—
485#13083551—22no—
486#13083551—22no—
487#13083551—22no—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495#13083551—41no—
496#13083551—41no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C24×C89—22no—
511C24×C89—41no—
512C24×C89—41no—
513C24×C89—41no—
514C24×C89—41no—
515C24×C89—41no—
516C24×C89—41no—
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C24×C89C2411yescharacteristic
520C2×Q8×C89—41no—
521C2×Q8×C89—41no—
522C2×Q8×C89—41no—
523C22×C4×C89C2411yescharacteristic
524C22×C4×C89C2411yescharacteristic
525C22×C4×C89C2411yescharacteristic
526C22×C4×C89C2411yescharacteristic
527C22×C4×C89C2411yescharacteristic
528C22×C4×C89C2411yescharacteristic
529C22×C4×C89C2411yescharacteristic
530C22×C4×C89C2411yescharacteristic
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C4⋊C4×C89—41no—
536C4⋊C4×C89—41no—
537C4⋊C4×C89—41no—
538C22⋊C4×C89—22no—
539C22⋊C4×C89—22no—
540C22⋊C4×C89—41no—
541C22⋊C4×C89—41no—
542C22⋊C4×C89—41no—
543C22⋊C4×C89—41no—
544C22⋊C4×C89—41no—
545C22⋊C4×C89—41no—
546C22⋊C4×C89—41no—
547C22⋊C4×C89—41no—
548C22⋊C4×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×C89—41no—
556C42×C89—41no—
557C42×C89—41no—
558C23×C89—21no—
559C23×C89—21no—
560C23×C89—21no—
561C23×C89—21no—
562C23×C89—21no—
563C23×C89—21no—
564C23×C89—21no—
565C23×C89—21no—
566C23×C89—21no—
567C23×C89—21no—
568C23×C89—21no—
569C23×C89—21no—
570C23×C89—21no—
571C23×C89—21no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—44no—
579C23×C89—82no—
580C23×C89—82no—
581C23×C89—82no—
582C23×C89—82no—
583C23×C89—82no—
584C23×C89—82no—
585C23×C89C2×#4112yes—
586C23×C89C2511yescharacteristic
587C22×D89—21no—
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—21no—
592C22×D89—21no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—28no—
598C22×D89—21no—
599C22×D89—21no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—44no—
606C22×D89—44no—
607C22×D89—82no—
608C22×D89—82no—
609C22×D89—82no—
610C22×D89—82no—
611C22×D89C2×#4112yes—
612C22×D89C2×#4112yes—
613C22×D89H(5,𝔽2)12yes—
614C22×D89H(5,𝔽2)12yes—
615Q8×C89—82no—
616C2×C4×C89—21no—
617C2×C4×C89—21no—
618C2×C4×C89—21no—
619C2×C4×C89—21no—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C22⋊D89—44no—
653C22⋊D89—44no—
654C22⋊D89—44no—
655C22⋊D89—44no—
656C22⋊D89—82no—
657C22⋊D89—82no—
658C22⋊D89—82no—
659C2×Dic89—21no—
660C2×Dic89—21no—
661C2×Dic89—21no—
662C2×Dic89—21no—
663C2×Dic89—21no—
664C2×Dic89—21no—
665C2×Dic89—21no—
666C2×Dic89—21no—
667C2×Dic89—21no—
668C2×Dic89—21no—
669C2×Dic89—21no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—44no—
698C2×Dic89H(5,𝔽2)12yes—
699D356—44no—
700D356—82no—
701C4×D89—44no—
702C4×D89—44no—
703C4×D89—44no—
704C4×D89—44no—
705C4×D89—82no—
706C4×D89—82no—
707C4×D89—82no—
708C4×D89—82no—
709C4×D89—82no—
710C22×C89—22no—
711C22×C89—22no—
712C22×C89—22no—
713C22×C89—41no—
714C22×C89—41no—
715C22×C89—41no—
716C22×C89—41no—
717C22×C89—41no—
718C22×C89—41no—
719C22×C89—41no—
720C22×C89—41no—
721C22×C89—41no—
722C22×C89—41no—
723C22×C89—41no—
724C22×C89—41no—
725C22×C89—41no—
726C22×C89—41no—
727C22×C89—41no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89—41no—
731C22×C89—88no—
732C22×C89C22×#4111yescharacteristic
733C22×C89C2×H(5,𝔽2)11yescharacteristic
734C22×C89C2×H(5,𝔽2)11yescharacteristic
735C22×C89C2×H(5,𝔽2)11yescharacteristic
736C22×C89#58511yescharacteristic
737C22×C89#58511yescharacteristic
738C22×C89#58511yescharacteristic
739C2×D89—22no—
740C2×D89—22no—
741C2×D89—22no—
742C2×D89—22no—
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—41no—
749C2×D89—41no—
750C2×D89—41no—
751C2×D89—41no—
752C2×D89—41no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—88no—
760C2×D89#53814yes—
761C4×C89—41no—
762C4×C89—41no—
763C4×C89—41no—
764C4×C89—41no—
765C4×C89—41no—
766C4×C89—41no—
767C4×C89—41no—
768C4×C89—41no—
769C4×C89—41no—
770C4×C89—41no—
771C4×C89—41no—
772C4×C89—41no—
773Dic89—22no—
774Dic89—41no—
775Dic89—41no—
776Dic89—41no—
777Dic89—41no—
778Dic89—41no—
779Dic89—41no—
780Dic89—41no—
781Dic89—41no—
782Dic89—41no—
783Dic89—41no—
784Dic89—41no—
785Dic89—41no—
786#36986—891nomaximal, Sylow
787C2×C89—42no—
788C2×C89—81no—
789C2×C89—81no—
790C2×C89C2×#53811yescharacteristic
791C2×C89#349111yescharacteristic
792C2×C89#350511yescharacteristic
793C2×C89#353311yescharacteristic
794C2×C89#353411yescharacteristic
795C2×C89#355811yescharacteristic
796C2×C89#356011yescharacteristic
797D89—24no—
798D89—42no—
799D89—81no—
800#2854—891no—
801#2853—891no—
802#2797—891no—
803#2779—891no—
804#2779—891no—
805#2778—891no—
806#2771—891no—
807#2765—891no—
808#2753—891no—
809#2751—891no—
810#2750—891no—
811#2741—891no—
812#2736D8911yescharacteristic, complemented
813#2735—891no—
814#2702—891no—
815#2697—891no—
816#2696—891no—
817#2685—891no—
818#2643—891no—
819#2639—891no—
820#2488—891no—
821#2481—891no—
822#2443—891no—
823#2437—891no—
824#2425—891no—
825#2412—891no—
826#2410—891no—
827#2405—891no—
828#2321—891no—
829#2308—891no—
830C2×#388—891no—
831C89#3698611yescharacteristic, complemented, Sylow
832C23×D4—891no—
833C2×#126—891no—
834C2×#123—891no—
835C2×#123—891no—
836C2×#123—891no—
837C2×#123—891no—
838C2×C22⋊Q8—891no—
839C2×C22⋊Q8—891no—
840C2×#121—891no—
841C2×#121—891no—
842C2×#120—891no—
843C2×#120—891no—
844C2×C4×D4—891no—
845C22×C4⋊C4—891no—
846C22×C22⋊C4—891no—
847C22×C22⋊C4—891no—
848C22×C22⋊C4—891no—
849C22×C22⋊C4—891no—
850C22×C42—891no—
851#401—891no—
852#400—891no—
853#400—891no—
854#400—891no—
855#400—891no—
856#400—891no—
857#400—891no—
858#400—891no—
859#400—891no—
860#400—891no—
861#399—891no—
862#399—891no—
863#398—891no—
864#398—891no—
865#397—891no—
866#397—891no—
867#397—891no—
868#397—891no—
869#397—891no—
870#397—891no—
871#397—891no—
872#397—891no—
873#397C2×D8911yescharacteristic
874#397C2×D8911yescharacteristic, complemented
875#397C2×D8911yescharacteristic, complemented
876#396—891no—
877#396—891no—
878#396—891no—
879#396—891no—
880#396—891no—
881#394—891no—
882#394—891no—
883#394—891no—
884#394—891no—
885#394—891no—
886#394—891no—
887#394—891no—
888#394—891no—
889#394—891no—
890#394—891no—
891#394—891no—
892#394—891no—
893#393—891no—
894#393C2×D8911yescharacteristic
895#393C2×D8911yescharacteristic, complemented
896#393C2×D8911yescharacteristic, complemented
897#392—891no—
898#392—891no—
899#391—891no—
900#390—891no—
901#390—891no—
902#390—891no—
903#390—891no—
904#389—891no—
905#389—891no—
906#389—891no—
907#388—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#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388C2×D8911yescharacteristic
927#388C2×D8911yescharacteristic
928#388C2×D8911yescharacteristic, complemented
929#388C2×D8911yescharacteristic, complemented
930#388C2×D8911yescharacteristic, complemented
931#388C2×D8911yescharacteristic, complemented
932#387—891no—
933#387—891no—
934#387—891no—
935#387—891no—
936#387—891no—
937#387—891no—
938#387—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#385—891no—
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#382—891no—
970#381—891no—
971#381—891no—
972#381—891no—
973#380—891no—
974#380—891no—
975#380—891no—
976#380—891no—
977#380—891no—
978#379—891no—
979#379—891no—
980#379—891no—
981#379C2×D8911yescharacteristic
982#379C2×D8911yescharacteristic
983#379C2×D8911yescharacteristic
984C4×C22⋊C4—891no—
985C2×#95—891no—
986C2×#95—891no—
987C25—891no—
988C25C22×D8911yescharacteristic
989C22×Q8C22×D8911yescharacteristic
990C22×D4—891no—
991C22×D4—891no—
992C22×D4—891no—
993C22×D4—891no—
994C22×D4—891no—
995C22×D4—891no—
996C22×D4—891no—
997C22×D4—891no—
998C22×D4—891no—
999C22×D4—3562no—
1000C22×D4—3562no—
1001C22×D4—1784no—
1002C23×C4—891no—
1003C23×C4—891no—
1004C23×C4—891no—
1005C23×C4—891no—
1006C23×C4—891no—
1007C23×C4—891no—
1008C23×C4—891no—
1009C23×C4—891no—
1010C23×C4—891no—
1011C23×C4—891no—
1012#126—3562no—
1013#123—3562no—
1014#123—3562no—
1015#123—3562no—
1016#123—3562no—
1017C22⋊Q8—3562no—
1018C22⋊Q8—3562no—
1019#121—3562no—
1020#121—3562no—
1021#120—3562no—
1022#120—1784no—
1023C4×D4—3562no—
1024C2×C4⋊C4—891no—
1025C2×C4⋊C4—891no—
1026C2×C4⋊C4—891no—
1027C2×C4⋊C4—891no—
1028C2×C4⋊C4—891no—
1029C2×C4⋊C4—891no—
1030C2×C4⋊C4—891no—
1031C2×C4⋊C4—891no—
1032C2×C4⋊C4—891no—
1033C2×C4⋊C4—891no—
1034C2×C4⋊C4—891no—
1035C2×C4⋊C4—891no—
1036C2×C4⋊C4—891no—
1037C2×C4⋊C4—891no—
1038C2×C4⋊C4—891no—
1039C2×C4⋊C4—891no—
1040C2×C4⋊C4—891no—
1041C2×C4⋊C4—891no—
1042C2×C4⋊C4—891no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—891no—
1047C2×C4⋊C4—3562no—
1048C2×C4⋊C4C22×D8911yescharacteristic
1049C2×C4⋊C4C22×D8911yescharacteristic
1050C2×C4⋊C4C22×D8911yescharacteristic
1051C2×C22⋊C4—891no—
1052C2×C22⋊C4—891no—
1053C2×C22⋊C4—891no—
1054C2×C22⋊C4—891no—
1055C2×C22⋊C4—891no—
1056C2×C22⋊C4—891no—
1057C2×C22⋊C4—891no—
1058C2×C22⋊C4—891no—
1059C2×C22⋊C4—891no—
1060C2×C22⋊C4—891no—
1061C2×C22⋊C4—891no—
1062C2×C22⋊C4—891no—
1063C2×C22⋊C4—891no—
1064C2×C22⋊C4—891no—
1065C2×C22⋊C4—891no—
1066C2×C22⋊C4—891no—
1067C2×C22⋊C4—891no—
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—891no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—3562no—
1090C2×C22⋊C4—3562no—
1091C2×C22⋊C4—3562no—
1092C2×C22⋊C4—1784no—
1093C2×C22⋊C4C22×D8911yescharacteristic
1094C2×C22⋊C4C22×D8911yescharacteristic
1095C2×C22⋊C4C22×D8911yescharacteristic
1096C2×C22⋊C4C22×D8911yescharacteristic
1097C2×C22⋊C4C22×D8911yescharacteristic
1098C2×C22⋊C4C22×D8911yescharacteristic
1099C2×C22⋊C4C22×D8911yescharacteristic
1100C2×C22⋊C4C22×D8911yescharacteristic
1101C2×C22⋊C4C22×D8911yescharacteristic
1102C2×C22⋊C4C22×D8911yescharacteristic
1103C2×C22⋊C4C22×D8911yescharacteristic
1104C2×C22⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4C22×D8911yescharacteristic
1106C2×C22⋊C4C22×D8911yescharacteristic
1107C2×C22⋊C4C22×D8911yescharacteristic
1108C2×C22⋊C4C22×D8911yescharacteristic
1109C2×C22⋊C4C22×D8911yescharacteristic
1110C2×C22⋊C4C22×D8911yescharacteristic
1111C2×C42—891no—
1112C2×C42—891no—
1113C2×C42—891no—
1114C2×C42—891no—
1115C2×C42—891no—
1116C2×C42—3562no—
1117C2×C42C22×D8911yescharacteristic
1118C2×C42C22×D8911yescharacteristic
1119#95—891no—
1120#95—891no—
1121#95—891no—
1122#95—891no—
1123#95—891no—
1124#95—891no—
1125#95—891no—
1126#95—891no—
1127#95—891no—
1128#95—891no—
1129#95—891no—
1130#95—891no—
1131#95—891no—
1132#95—891no—
1133#95—891no—
1134#95—891no—
1135#95—891no—
1136#95—891no—
1137#95—891no—
1138#95—891no—
1139#95—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95C22×D8911yescharacteristic
1154#95C22×D8911yescharacteristic
1155#95C22×D8911yescharacteristic
1156#95C22×D8911yescharacteristic
1157#95C22×D8911yescharacteristic
1158#95C22×D8911yescharacteristic
1159#95C22×D8911yescharacteristic
1160#95C22×D8911yescharacteristic
1161#95C22×D8911yescharacteristic
1162#95C22×D8911yescharacteristic
1163C24—22no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—891no—
1171C24—894no—
1172C24—891no—
1173C24—891no—
1174C24—3561no—
1175C24—3561no—
1176C24—3561no—
1177C24—3561no—
1178C24—1782no—
1179C24—1782no—
1180C24C23×D8911yescharacteristic
1181C24C23×D8911yescharacteristic
1182C24C23×D8911yescharacteristic
1183C2×Q8—41no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—3561no—
1187C2×D4—3561no—
1188C2×D4—35616no—
1189C2×D4—3561no—
1190C2×D4—3561no—
1191C2×D4—3561no—
1192C2×D4—3561no—
1193C2×D4—3561no—
1194C2×D4—3561no—
1195C2×D4—3561no—
1196C2×D4—3561no—
1197C2×D4—3561no—
1198C2×D4—3561no—
1199C2×D4—3561no—
1200C2×D4—1782no—
1201C2×D4—1782no—
1202C2×D4—1782no—
1203C2×D4—1782no—
1204C2×D4—1782no—
1205C2×D4—1782no—
1206C2×D4—1782no—
1207C2×D4—1782no—
1208C2×D4—1782no—
1209C2×D4—1782no—
1210C2×D4—1782no—
1211C2×D4—1782no—
1212C2×D4—1782no—
1213C2×D4—1782no—
1214C22×C4—891no—
1215C22×C4—891no—
1216C22×C4—891no—
1217C22×C4—891no—
1218C22×C4—891no—
1219C22×C4—891no—
1220C22×C4—891no—
1221C22×C4—891no—
1222C22×C4—891no—
1223C22×C4—891no—
1224C22×C4—891no—
1225C22×C4—891no—
1226C22×C4—891no—
1227C22×C4—3561no—
1228C22×C4—3561no—
1229C22×C4—3561no—
1230C22×C4—3561no—
1231C22×C4—3561no—
1232C22×C4—3561no—
1233C22×C4—3561no—
1234C22×C4—3561no—
1235C22×C4—3561no—
1236C22×C4—3561no—
1237C22×C4—3561no—
1238C22×C4—3561no—
1239C22×C4—3561no—
1240C22×C4—3561no—
1241C22×C4—3561no—
1242C22×C4—3561no—
1243C22×C4—3561no—
1244C22×C4—3561no—
1245C22×C4—3561no—
1246C22×C4—3561no—
1247C22×C4—1782no—
1248C22×C4—1782no—
1249C22×C4—1782no—
1250C22×C4—1782no—
1251C22×C4—1782no—
1252C22×C4—1782no—
1253C22×C4—1782no—
1254C22×C4—1782no—
1255C22×C4—1782no—
1256C22×C4—1782no—
1257C22×C4C23×D8911yescharacteristic
1258C22×C4C23×D8911yescharacteristic
1259C22×C4C23×D8911yescharacteristic
1260C22×C4C23×D8911yescharacteristic
1261C22×C4C23×D8911yescharacteristic
1262C22×C4C23×D8911yescharacteristic
1263C22×C4C23×D8911yescharacteristic
1264C22×C4C23×D8911yescharacteristic
1265C22×C4C23×D8911yescharacteristic
1266C22×C4C23×D8911yescharacteristic
1267C22×C4C23×D8911yescharacteristic
1268C22×C4C23×D8911yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—3561no—
1273C4⋊C4—3561no—
1274C4⋊C4—3561no—
1275C4⋊C4—3561no—
1276C4⋊C4—3561no—
1277C4⋊C4—3561no—
1278C4⋊C4—3561no—
1279C4⋊C4—3561no—
1280C4⋊C4—3561no—
1281C4⋊C4—3561no—
1282C4⋊C4—3561no—
1283C4⋊C4—3561no—
1284C4⋊C4—3561no—
1285C4⋊C4—3561no—
1286C4⋊C4—3561no—
1287C4⋊C4—3561no—
1288C4⋊C4—3561no—
1289C4⋊C4—3561no—
1290C4⋊C4—3561no—
1291C4⋊C4—1782no—
1292C4⋊C4—1782no—
1293C4⋊C4—1782no—
1294C4⋊C4—1782no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—3561no—
1314C22⋊C4—3561no—
1315C22⋊C4—3561no—
1316C22⋊C4—3561no—
1317C22⋊C4—3561no—
1318C22⋊C4—3561no—
1319C22⋊C4—3561no—
1320C22⋊C4—3561no—
1321C22⋊C4—3561no—
1322C22⋊C4—3561no—
1323C22⋊C4—3561no—
1324C22⋊C4—3561no—
1325C22⋊C4—3561no—
1326C22⋊C4—3561no—
1327C22⋊C4—3561no—
1328C22⋊C4—3561no—
1329C22⋊C4—3561no—
1330C22⋊C4—3561no—
1331C22⋊C4—3561no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—1782no—
1340C22⋊C4—1782no—
1341C22⋊C4—1782no—
1342C22⋊C4—1782no—
1343C22⋊C4—1782no—
1344C22⋊C4—1782no—
1345C22⋊C4—1782no—
1346C22⋊C4—1782no—
1347C22⋊C4—1782no—
1348C22⋊C4—1782no—
1349C22⋊C4—1782no—
1350C22⋊C4—1782no—
1351C42—41no—
1352C42—41no—
1353C42—3561no—
1354C42—3561no—
1355C42—3561no—
1356C42—3561no—
1357C42—3561no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—892no—
1386C23—892no—
1387C23—892no—
1388C23—892no—
1389C23—3564no—
1390C23—3564no—
1391C23—1788no—
1392C23—1781no—
1393C23—1781no—
1394C23—1781no—
1395C23—1781no—
1396C23—1781no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1781no—
1401C23—1781no—
1402C23—1781no—
1403C23—1781no—
1404C23—1781no—
1405C23—1781no—
1406C23—1781no—
1407C23—1781no—
1408C23—1781no—
1409C23—7122no—
1410C23—7122no—
1411C23—7122no—
1412C23—7122no—
1413C23#41×D8912yes—
1414C23C24×D8911yescharacteristic
1415Q8—82no—
1416D4—3564no—
1417D4—3564no—
1418D4—3564no—
1419D4—3564no—
1420D4—3564no—
1421D4—7122no—
1422D4—7122no—
1423D4—7122no—
1424D4—7122no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—892no—
1462C2×C4—3564no—
1463C2×C4—3564no—
1464C2×C4—3564no—
1465C2×C4—3564no—
1466C2×C4—3564no—
1467C2×C4—1781no—
1468C2×C4—1781no—
1469C2×C4—1781no—
1470C2×C4—1781no—
1471C2×C4—1781no—
1472C2×C4—1781no—
1473C2×C4—1781no—
1474C2×C4—1781no—
1475C2×C4—1781no—
1476C2×C4—1781no—
1477C2×C4—1781no—
1478C2×C4—1781no—
1479C2×C4—1781no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—7122no—
1506C2×C4—7122no—
1507C2×C4—7122no—
1508C2×C4—7122no—
1509C2×C4—7122no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—88no—
1532C22—894no—
1533C22—3561no—
1534C22—3561no—
1535C22—3561no—
1536C22—3561no—
1537C22—3561no—
1538C22—3561no—
1539C22—3561no—
1540C22—3561no—
1541C22—3561no—
1542C22—3561no—
1543C22—3561no—
1544C22—1782no—
1545C22—1782no—
1546C22—1782no—
1547C22—1782no—
1548C22—1782no—
1549C22—1782no—
1550C22—1782no—
1551C22—1782no—
1552C22—1782no—
1553C22—7128no—
1554C22C2×#41×D8911yescharacteristic
1555C22H(5,𝔽2)×D8911yescharacteristic
1556C22H(5,𝔽2)×D8911yescharacteristic
1557C22H(5,𝔽2)×D8911yescharacteristic
1558C22#1915243311yescharacteristic
1559C22#1915243411yescharacteristic
1560C22#1915243411yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—3561no—
1574C4—3561no—
1575C4—3561no—
1576C4—3561no—
1577C4—3561no—
1578C4—3561no—
1579C4—3561no—
1580C4—3561no—
1581C4—3561no—
1582C4—3561no—
1583C4—3561no—
1584C4—3561no—
1585C4—1782no—
1586C2—42no—
1587C2—81no—
1588C2—81no—
1589C2—3562no—
1590C2—1784no—
1591C2—7121no—
1592C2#538×D8911yescharacteristic
1593C2#2603394311yescharacteristic
1594C2#2603408311yescharacteristic
1595C2#2603441911yescharacteristic
1596C2#2603444111yescharacteristic
1597C2#2603476511yescharacteristic
1598C2#2603479911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2736C2
prime radical#26023628C2
hypercenter#2736D89
hypocenterC89#36986
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2736

Complements

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

NH ≅ G/Ntype
1. #26028579C2semidirect
2. #26028572C2semidirect
3. #26028102C2semidirect
4. #26027888C2semidirect
5. #26027883C2semidirect
6. #26027869C2semidirect
7. #26027765C2semidirect
8. #26027689C2semidirect
9. #26027527C2semidirect
10. #26027511C2semidirect
11. #26027488C2semidirect
12. #26027365C2semidirect
13. #26027289C2semidirect
14. #26026887C2semidirect
15. #26026815C2semidirect
16. #26026807C2semidirect
17. #26026643C2semidirect
18. #26026204C2semidirect
19. #26026181C2semidirect
20. #26024571C2semidirect
21. #26024508C2semidirect
22. #26023994C2semidirect
23. #26023912C2semidirect
24. #26023808C2semidirect
25. #26023641C2semidirect
27. #26023577C2semidirect
28. #26022914C2semidirect
29. #26022828C2semidirect
30. #388×D89C2semidirect
31. C89×#2736C2semidirect
33. C2×#15668005C22semidirect
34. C2×#15667997C22semidirect
37. C2×#15667994C22semidirect
38. C2×#15667988C22semidirect
39. C2×#15667988C22semidirect
44. C2×C4×D356C22semidirect
45. C2×C4⋊C4×D89C22semidirect
50. C2×C42×D89C22semidirect
51. C89⋊#401C22semidirect
52. #19151540C22semidirect
53. #19151540C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151539C22semidirect
57. #19151539C22semidirect
58. #19151538C22semidirect
59. #19151537C22semidirect
60. #19151536C22semidirect
62. #19151534C22semidirect
63. #19151531C22semidirect
64. #19151530C22semidirect
65. #19151527C22semidirect
67. #19151526C22semidirect
68. #19151526C22semidirect
69. #19151525C22semidirect
70. #19151525C22semidirect
71. #19151523C22semidirect
72. #19151523C22semidirect
75. #19151521C22semidirect
76. #19151521C22semidirect
77. #19151521C22semidirect
81. #19151514C22semidirect
82. #19151514C22semidirect
88. #19151513C22semidirect
89. #19151513C22semidirect
90. #19151509C22semidirect
93. #19151505C22semidirect
94. #19151499C22semidirect
96. #19151498C22semidirect
97. #19151498C22semidirect
98. #19151496C22semidirect
99. #19151495C22semidirect
100. #19151493C22semidirect
102. #19151492C22semidirect
103. #19151492C22semidirect
106. #19151491C22semidirect
107. #19151491C22semidirect
108. #19151490C22semidirect
109. #19151490C22semidirect
110. #19151490C22semidirect
111. #19151489C22semidirect
112. #19151489C22semidirect
113. #19151489C22semidirect
114. #19151488C22semidirect
115. #19151487C22semidirect
117. #19151486C22semidirect
118. #19151486C22semidirect
119. #19151486C22semidirect
120. #19151485C22semidirect
121. #19151484C22semidirect
122. #19151483C22semidirect
123. #19151482C22semidirect
124. #19151482C22semidirect
125. #19151481C22semidirect
126. #19151481C22semidirect
127. #19151476C22semidirect
128. #19151476C22semidirect
129. #19151476C22semidirect
130. #19151476C22semidirect
131. #19151476C22semidirect
146. #19151474C22semidirect
148. #19151472C22semidirect
149. #19151472C22semidirect
150. #19151472C22semidirect
151. #19151472C22semidirect
152. #19151472C22semidirect
155. #19151469C22semidirect
156. #19151469C22semidirect
157. #19151462C22semidirect
158. #19151460C22semidirect
161. #19151457C22semidirect
162. #19151457C22semidirect
163. #19151457C22semidirect
164. #19151457C22semidirect
165. #19151455C22semidirect
169. #19151445C22semidirect
170. #95×D89C22semidirect
171. #95×D89C22semidirect
173. #397×C89C22semidirect
174. #397×C89C22semidirect
176. #393×C89C22semidirect
177. #393×C89C22semidirect
180. #388×C89C22semidirect
181. #388×C89C22semidirect
182. #388×C89C22semidirect
183. #388×C89C22semidirect
812. #2736D89semidirect
831. C89#36986semidirect
874. #397C2×D89semidirect
875. #397C2×D89semidirect
895. #393C2×D89semidirect
896. #393C2×D89semidirect
928. #388C2×D89semidirect
929. #388C2×D89semidirect
930. #388C2×D89semidirect
931. #388C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285792
#260285722
#260281022
#260278882
#260278832
#260278692
#260277652
#260276892
#260275272
#260275112
#260274882
#260273652
#260272892
#260268872
#260268152
#260268072
#260266432
#260262042
#260261812
#260245712
#260245082
#260239942
#260239122
#260238082
#260236412
#260236282
#260235772
#260229142
#260228282
#388×D892
C89×#27362
#3698689