Finite Group Databasebeta

← #36762843

Subgroups — #36762843

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#26028570C211yesmaximal, characteristic, complemented
2#26028550C211yesmaximal, characteristic, complemented
3#26027912C211yesmaximal, characteristic, complemented
4#26027911C211yesmaximal, characteristic, complemented
5#26027867C211yesmaximal, characteristic, complemented
6#26027691C211yesmaximal, characteristic, complemented
7#26027675C211yesmaximal, characteristic, complemented
8#26027581C211yesmaximal, characteristic, complemented
9#26027481C211yesmaximal, characteristic, complemented
10#26027389C211yesmaximal, characteristic, complemented
11#26027361C211yesmaximal, characteristic, complemented
12#26027295C211yesmaximal, characteristic, complemented
13#26027290C211yesmaximal, characteristic, complemented
14#26027254C211yesmaximal, characteristic, complemented
15#26026879C211yesmaximal, characteristic, complemented
16#26026638C211yesmaximal, characteristic, complemented
17#26026627C211yesmaximal, characteristic, complemented
18#26026033C211yesmaximal, characteristic, complemented
19#26025999C211yesmaximal, characteristic, complemented
20#26024809C211yesmaximal, characteristic, complemented
21#26024575C211yesmaximal, characteristic, complemented
22#26023997C211yesmaximal, characteristic, complemented
23#26023914C211yesmaximal, characteristic, complemented
24#26023806C211yesmaximal, characteristic, complemented
25#26023643C211yesmaximal, characteristic, complemented
26#26023629C211yesmaximal, characteristic
27#26023581C211yesmaximal, characteristic, complemented
28#26022911C211yesmaximal, characteristic, complemented
29#26022829C211yesmaximal, characteristic, complemented
30#388×D89C211yesmaximal, characteristic, complemented
31C89×#2761C211yesmaximal, characteristic, complemented
32C23×D356C2211yescharacteristic
33C2×#15668007C2211yescharacteristic, complemented
34C2×#15667998C2211yescharacteristic, complemented
35C2×#15667997C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667994C2211yescharacteristic, complemented
38C2×#15667992C2211yescharacteristic, complemented
39C2×#15667990C2211yescharacteristic, complemented
40C2×#15667985C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667980C2211yescharacteristic
43C2×#15667980C2211yescharacteristic
44C2×#15667972C2211yescharacteristic, 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#19151539C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151536C2211yescharacteristic, complemented
58#19151534C2211yescharacteristic
59#19151533C2211yescharacteristic, complemented
60#19151533C2211yescharacteristic, complemented
61#19151532C2211yescharacteristic, complemented
62#19151532C2211yescharacteristic, complemented
63#19151531C2211yescharacteristic, complemented
64#19151528C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic
67#19151525C2211yescharacteristic, complemented
68#19151524C2211yescharacteristic, complemented
69#19151524C2211yescharacteristic, complemented
70#19151524C2211yescharacteristic, complemented
71#19151524C2211yescharacteristic, complemented
72#19151523C2211yescharacteristic
73#19151522C2211yescharacteristic, complemented
74#19151521C2211yescharacteristic
75#19151521C2211yescharacteristic, complemented
76#19151520C2211yescharacteristic, complemented
77#19151520C2211yescharacteristic, complemented
78#19151516C2211yescharacteristic
79#19151516C2211yescharacteristic
80#19151516C2211yescharacteristic
81#19151516C2211yescharacteristic
82#19151515C2211yescharacteristic
83#19151515C2211yescharacteristic
84#19151514C2211yescharacteristic, complemented
85#19151514C2211yescharacteristic, complemented
86#19151513C2211yescharacteristic, complemented
87#19151513C2211yescharacteristic, complemented
88#19151512C2211yescharacteristic
89#19151511C2211yescharacteristic, complemented
90#19151510C2211yescharacteristic
91#19151507C2211yescharacteristic
92#19151507C2211yescharacteristic
93#19151502C2211yescharacteristic, complemented
94#19151502C2211yescharacteristic, complemented
95#19151498C2211yescharacteristic, complemented
96#19151498C2211yescharacteristic, complemented
97#19151494C2211yescharacteristic, complemented
98#19151492C2211yescharacteristic
99#19151492C2211yescharacteristic
100#19151492C2211yescharacteristic
101#19151492C2211yescharacteristic, complemented
102#19151491C2211yescharacteristic
103#19151490C2211yescharacteristic, complemented
104#19151490C2211yescharacteristic, complemented
105#19151490C2211yescharacteristic, complemented
106#19151489C2211yescharacteristic, complemented
107#19151489C2211yescharacteristic, complemented
108#19151489C2211yescharacteristic, complemented
109#19151489C2211yescharacteristic, complemented
110#19151489C2211yescharacteristic, complemented
111#19151489C2211yescharacteristic, complemented
112#19151488C2211yescharacteristic, complemented
113#19151488C2211yescharacteristic, complemented
114#19151488C2211yescharacteristic, complemented
115#19151488C2211yescharacteristic, complemented
116#19151488C2211yescharacteristic, complemented
117#19151487C2211yescharacteristic, complemented
118#19151487C2211yescharacteristic, complemented
119#19151487C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic
121#19151485C2211yescharacteristic, complemented
122#19151480C2211yescharacteristic, complemented
123#19151480C2211yescharacteristic, complemented
124#19151478C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic
127#19151476C2211yescharacteristic
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic
136#19151476C2211yescharacteristic
137#19151475C2211yescharacteristic, complemented
138#19151475C2211yescharacteristic, complemented
139#19151475C2211yescharacteristic, complemented
140#19151474C2211yescharacteristic, complemented
141#19151474C2211yescharacteristic, complemented
142#19151474C2211yescharacteristic, complemented
143#19151474C2211yescharacteristic, complemented
144#19151472C2211yescharacteristic, complemented
145#19151471C2211yescharacteristic
146#19151471C2211yescharacteristic
147#19151469C2211yescharacteristic, complemented
148#19151469C2211yescharacteristic, complemented
149#19151469C2211yescharacteristic, complemented
150#19151469C2211yescharacteristic, complemented
151#19151469C2211yescharacteristic, complemented
152#19151465C2211yescharacteristic, complemented
153#19151465C2211yescharacteristic, complemented
154#19151462C2211yescharacteristic, complemented
155#19151461C2211yescharacteristic
156#19151460C2211yescharacteristic, complemented
157#19151459C2211yescharacteristic, complemented
158#19151457C2211yescharacteristic, complemented
159#19151457C2211yescharacteristic, complemented
160#19151456C2211yescharacteristic, complemented
161#19151455C2211yescharacteristic, complemented
162#19151455C2211yescharacteristic, complemented
163#19151453C2211yescharacteristic
164#19151453C2211yescharacteristic
165#19151453C2211yescharacteristic
166#19151453C2211yescharacteristic
167#19151453C2211yescharacteristic
168#19151453C2211yescharacteristic
169C4×#13083551C2211yescharacteristic, complemented
170#95×D89C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172#398×C89C2211yescharacteristic, complemented
173#397×C89C2211yescharacteristic, complemented
174#397×C89C2211yescharacteristic, complemented
175#396×C89C2211yescharacteristic
176#396×C89C2211yescharacteristic, complemented
177#394×C89C2211yescharacteristic
178#390×C89C2211yescharacteristic
179#388×C89C2211yescharacteristic
180#388×C89C2211yescharacteristic, complemented
181#387×C89C2211yescharacteristic, complemented
182#387×C89C2211yescharacteristic, complemented
183#386×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#382×C89C2211yescharacteristic, complemented
186#381×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356—24no—
191C22×D356—42no—
192C22×D356—42no—
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210#15668007—42no—
211#15667998—42no—
212#15667997—42no—
213#15667997—42no—
214#15667994—42no—
215#15667992—42no—
216#15667990—42no—
217#15667985—42no—
218#15667985—42no—
219#15667980—24no—
220#15667980—42no—
221#15667972—42no—
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C4⋊C4×D89—42no—
241C2×C22⋊Dic89C2311yescharacteristic
242C2×C22⋊Dic89C2311yescharacteristic
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×#13083551C2311yescharacteristic
251C2×#13083551C2311yescharacteristic
252C2×#13083551C2311yescharacteristic
253C2×#13083551C2311yescharacteristic
254C2×#13083551C2311yescharacteristic
255C2×#13083551C2311yescharacteristic
256C2×#13083551C2311yescharacteristic
257C2×#13083551C2311yescharacteristic
258C2×#13083551C2311yescharacteristic
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
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
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C22⋊C4×D89—24no—
287C22⋊C4×D89—42no—
288C22⋊C4×D89—42no—
289C22⋊C4×D89—42no—
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C42×D89—42no—
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
328C22×D4×C89C2311yescharacteristic
329C23×C4×C89C2311yescharacteristic
330C2×C4⋊C4×C89C2311yescharacteristic
331C2×C4⋊C4×C89C2311yescharacteristic
332C2×C4⋊C4×C89C2311yescharacteristic
333C2×C4⋊C4×C89C2311yescharacteristic
334C2×C4⋊C4×C89C2311yescharacteristic
335C2×C4⋊C4×C89C2311yescharacteristic
336C2×C4⋊C4×C89C2311yescharacteristic
337C2×C4⋊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×C42×C89C2311yescharacteristic
350C2×C42×C89C2311yescharacteristic
351#95×C89C2311yescharacteristic
352#95×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—22no—
366C23×D89—41no—
367C23×D89—41no—
368C23×D89—41no—
369C23×D89—41no—
370C23×D89—41no—
371C23×D89—41no—
372C23×D89—41no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89#4114yes—
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380C23×D89C2411yescharacteristic
381C2×Dic178—22no—
382C2×Dic178—41no—
383C2×Dic178—41no—
384C2×D356—22no—
385C2×D356—22no—
386C2×D356—22no—
387C2×D356—22no—
388C2×D356—22no—
389C2×D356—22no—
390C2×D356—22no—
391C2×D356—22no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
396C2×D356—416no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
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—
409C22×Dic89—41no—
410C22×Dic89—41no—
411C22×Dic89—41no—
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C2×C4×D89—22no—
425C2×C4×D89—22no—
426C2×C4×D89—22no—
427C2×C4×D89—22no—
428C2×C4×D89—22no—
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—22no—
432C2×C4×D89—22no—
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—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C4⋊Dic89—22no—
449C4⋊Dic89—41no—
450C4⋊Dic89—41no—
451C4⋊Dic89—41no—
452#13083553—41no—
453#13083553—41no—
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—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—41no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475#13083551—22no—
476#13083551—22no—
477#13083551—22no—
478#13083551—22no—
479#13083551—22no—
480#13083551—22no—
481#13083551—22no—
482#13083551—22no—
483#13083551—22no—
484#13083551—22no—
485#13083551—41no—
486#13083551—41no—
487#13083551—41no—
488#13083551—41no—
489#13083551—41no—
490#13083551—41no—
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—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511C4×Dic89—22no—
512C4×Dic89—22no—
513C4×Dic89—41no—
514C4×Dic89—41no—
515C4×Dic89—41no—
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C2×D4×C89—22no—
519C2×D4×C89—41no—
520C2×D4×C89—41no—
521C22×C4×C89—22no—
522C22×C4×C89—41no—
523C22×C4×C89—41no—
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
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537C4⋊C4×C89—41no—
538C4⋊C4×C89—41no—
539C4⋊C4×C89—41no—
540C4⋊C4×C89—41no—
541C4⋊C4×C89—41no—
542C4⋊C4×C89—41no—
543C4⋊C4×C89—41no—
544C4⋊C4×C89—41no—
545C22⋊C4×C89—22no—
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×C89C2×#4112yes—
572C23×C89C2511yescharacteristic
573C22×D89—21no—
574C22×D89—21no—
575C22×D89—21no—
576C22×D89—21no—
577C22×D89—21no—
578C22×D89—21no—
579C22×D89—21no—
580C22×D89—21no—
581C22×D89—21no—
582C22×D89—21no—
583C22×D89—28no—
584C22×D89—21no—
585C22×D89—21no—
586C22×D89—21no—
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—21no—
598C22×D89—44no—
599C22×D89—44no—
600C22×D89—44no—
601C22×D89—82no—
602C22×D89—82no—
603C22×D89—82no—
604C22×D89—82no—
605C22×D89—82no—
606C22×D89—82no—
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—
615D4×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—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—44no—
656C22⋊D89—44no—
657C22⋊D89—82no—
658C22⋊D89—82no—
659C22⋊D89—82no—
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—82no—
696C2×Dic89H(5,𝔽2)12yes—
697D356—44no—
698D356—44no—
699D356—44no—
700D356—44no—
701C4×D89—44no—
702C4×D89—44no—
703C4×D89—44no—
704C4×D89—44no—
705C4×D89—82no—
706C4×D89—82no—
707C4×D89—82no—
708C4×D89—82no—
709Dic178—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×C89C22×#4111yescharacteristic
725C22×C89C2×H(5,𝔽2)11yescharacteristic
726C22×C89C2×H(5,𝔽2)11yescharacteristic
727C22×C89C2×H(5,𝔽2)11yescharacteristic
728C22×C89#58511yescharacteristic
729C22×C89#58511yescharacteristic
730C22×C89#58511yescharacteristic
731C2×D89—22no—
732C2×D89—22no—
733C2×D89—22no—
734C2×D89—22no—
735C2×D89—22no—
736C2×D89—22no—
737C2×D89—22no—
738C2×D89—22no—
739C2×D89—22no—
740C2×D89—41no—
741C2×D89—41no—
742C2×D89—41no—
743C2×D89—41no—
744C2×D89—41no—
745C2×D89—41no—
746C2×D89—41no—
747C2×D89—41no—
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—88no—
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—
773C4×C89—41no—
774Dic89—22no—
775Dic89—41no—
776Dic89—41no—
777Dic89—41no—
778Dic89—41no—
779Dic89—41no—
780Dic89—41no—
781Dic89—41no—
782Dic89—41no—
783Dic89—41no—
784Dic89—41no—
785Dic89—41no—
786#36779—891nomaximal, Sylow
787C2×C89—42no—
788C2×C89—81no—
789C2×C89C2×#53811yescharacteristic
790C2×C89#349111yescharacteristic
791C2×C89#350511yescharacteristic
792C2×C89#353411yescharacteristic
793C2×C89#354211yescharacteristic
794C2×C89#354511yescharacteristic
795C2×C89#356011yescharacteristic
796D89—24no—
797D89—42no—
798D89—81no—
799D89—81no—
800#2852—891no—
801#2850—891no—
802#2781—891no—
803#2781—891no—
804#2778—891no—
805#2765—891no—
806#2764—891no—
807#2761D8911yescharacteristic, complemented
808#2756—891no—
809#2749—891no—
810#2743—891no—
811#2741—891no—
812#2735—891no—
813#2735—891no—
814#2730—891no—
815#2702—891no—
816#2685—891no—
817#2684—891no—
818#2623—891no—
819#2618—891no—
820#2510—891no—
821#2488—891no—
822#2444—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#3677911yescharacteristic, complemented, Sylow
832C23×D4—891no—
833C2×#126—891no—
834C2×#124—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#399—891no—
859#399—891no—
860#399—891no—
861#398—891no—
862#398—891no—
863#398—891no—
864#398—891no—
865#398C2×D8911yescharacteristic, complemented
866#397—891no—
867#397—891no—
868#397—891no—
869#397—891no—
870#397—891no—
871#397—891no—
872#397—891no—
873#397—891no—
874#397C2×D8911yescharacteristic, complemented
875#397C2×D8911yescharacteristic, complemented
876#396—891no—
877#396—891no—
878#396—891no—
879#396—891no—
880#396—891no—
881#396C2×D8911yescharacteristic
882#396C2×D8911yescharacteristic, complemented
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#394—891no—
894#394C2×D8911yescharacteristic
895#393—891no—
896#393—891no—
897#392—891no—
898#392—891no—
899#391—891no—
900#391—891no—
901#390—891no—
902#390—891no—
903#390C2×D8911yescharacteristic
904#389—891no—
905#388—891no—
906#388—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#388—891no—
927#388—891no—
928#388C2×D8911yescharacteristic
929#388C2×D8911yescharacteristic, complemented
930#387—891no—
931#387—891no—
932#387—891no—
933#387C2×D8911yescharacteristic, complemented
934#387C2×D8911yescharacteristic, complemented
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#386C2×D8911yescharacteristic
956#385—891no—
957#385—891no—
958#385—891no—
959#385—891no—
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385C2×D8911yescharacteristic
965#383—891no—
966#383—891no—
967#382—891no—
968#382C2×D8911yescharacteristic, complemented
969#381—891no—
970#381—891no—
971#381—891no—
972#381C2×D8911yescharacteristic
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#379—891no—
982#379—891no—
983#379—891no—
984C4×C22⋊C4—891no—
985C2×#95—891no—
986C2×#95—891no—
987C25—891no—
988C25—891no—
989C22×Q8—891no—
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—3562no—
999C22×D4—3562no—
1000C22×D4—1784no—
1001C22×D4C22×D8911yescharacteristic
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×C4C22×D8911yescharacteristic
1012#126—3562no—
1013#124—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—3562no—
1043C2×C4⋊C4C22×D8911yescharacteristic
1044C2×C4⋊C4C22×D8911yescharacteristic
1045C2×C4⋊C4C22×D8911yescharacteristic
1046C2×C4⋊C4C22×D8911yescharacteristic
1047C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—3562no—
1097C2×C22⋊C4—3562no—
1098C2×C22⋊C4—3562no—
1099C2×C22⋊C4—1784no—
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#95C22×D8911yescharacteristic
1152#95C22×D8911yescharacteristic
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—891no—
1164C24—894no—
1165C24—891no—
1166C24—891no—
1167C24—891no—
1168C24—3561no—
1169C24—3561no—
1170C24—3561no—
1171C24—3561no—
1172C24—3561no—
1173C24—3561no—
1174C24—3561no—
1175C24—3561no—
1176C24—3561no—
1177C24—3561no—
1178C24—1782no—
1179C24—1782no—
1180C24—1782no—
1181C24C23×D8911yescharacteristic
1182C24C23×D8911yescharacteristic
1183C2×Q8—3561no—
1184C2×Q8—3561no—
1185C2×Q8—1782no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—3561no—
1190C2×D4—3561no—
1191C2×D4—3561no—
1192C2×D4—3561no—
1193C2×D4—35616no—
1194C2×D4—3561no—
1195C2×D4—3561no—
1196C2×D4—3561no—
1197C2×D4—3561no—
1198C2×D4—3561no—
1199C2×D4—3561no—
1200C2×D4—3561no—
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—22no—
1215C22×C4—41no—
1216C22×C4—41no—
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—891no—
1228C22×C4—891no—
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×C4C23×D8911yescharacteristic
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—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
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—3561no—
1292C4⋊C4—3561no—
1293C4⋊C4—3561no—
1294C4⋊C4—1782no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
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—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—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—1782no—
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—1782no—
1357C42—1782no—
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—892no—
1372C23—892no—
1373C23—892no—
1374C23—892no—
1375C23—3564no—
1376C23—3564no—
1377C23—3564no—
1378C23—1788no—
1379C23—1781no—
1380C23—1781no—
1381C23—1781no—
1382C23—1781no—
1383C23—1781no—
1384C23—1781no—
1385C23—1781no—
1386C23—1781no—
1387C23—1781no—
1388C23—1781no—
1389C23—1781no—
1390C23—1781no—
1391C23—1781no—
1392C23—1781no—
1393C23—1781no—
1394C23—1781no—
1395C23—1781no—
1396C23—1781no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1781no—
1401C23—1781no—
1402C23—1781no—
1403C23—7122no—
1404C23—7122no—
1405C23—7122no—
1406C23—7122no—
1407C23—7122no—
1408C23—7122no—
1409C23—7122no—
1410C23—7122no—
1411C23—7122no—
1412C23—7122no—
1413C23#41×D8912yes—
1414C23C24×D8911yescharacteristic
1415Q8—7122no—
1416D4—82no—
1417D4—3564no—
1418D4—3564no—
1419D4—3564no—
1420D4—3564no—
1421D4—3564no—
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—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—892no—
1466C2×C4—3564no—
1467C2×C4—3564no—
1468C2×C4—3564no—
1469C2×C4—3564no—
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—894no—
1525C22—3561no—
1526C22—3561no—
1527C22—3561no—
1528C22—3561no—
1529C22—3561no—
1530C22—3561no—
1531C22—3561no—
1532C22—3561no—
1533C22—3561no—
1534C22—3561no—
1535C22—3561no—
1536C22—3561no—
1537C22—3561no—
1538C22—3561no—
1539C22—3561no—
1540C22—3561no—
1541C22—3561no—
1542C22—3561no—
1543C22—1782no—
1544C22—1782no—
1545C22—1782no—
1546C22—1782no—
1547C22—1782no—
1548C22—1782no—
1549C22—1782no—
1550C22—1782no—
1551C22—1782no—
1552C22—7128no—
1553C22—7128no—
1554C22C2×#41×D8911yescharacteristic
1555C22H(5,𝔽2)×D8911yescharacteristic
1556C22H(5,𝔽2)×D8911yescharacteristic
1557C22H(5,𝔽2)×D8911yescharacteristic
1558C22#1915243411yescharacteristic
1559C22#1915243411yescharacteristic
1560C22#1915243511yescharacteristic
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—41no—
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—3562no—
1589C2—1784no—
1590C2—7121no—
1591C2—7121no—
1592C2#538×D8911yescharacteristic
1593C2#2603394711yescharacteristic
1594C2#2603408311yescharacteristic
1595C2#2603444411yescharacteristic
1596C2#2603455911yescharacteristic
1597C2#2603460011yescharacteristic
1598C2#2603479111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2761C2
prime radical#26023629C2
hypercenter#2761D89
hypocenterC89#36779
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2761

Complements

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

NH ≅ G/Ntype
1. #26028570C2semidirect
2. #26028550C2semidirect
3. #26027912C2semidirect
4. #26027911C2semidirect
5. #26027867C2semidirect
6. #26027691C2semidirect
7. #26027675C2semidirect
8. #26027581C2semidirect
9. #26027481C2semidirect
10. #26027389C2semidirect
11. #26027361C2semidirect
12. #26027295C2semidirect
13. #26027290C2semidirect
14. #26027254C2semidirect
15. #26026879C2semidirect
16. #26026638C2semidirect
17. #26026627C2semidirect
18. #26026033C2semidirect
19. #26025999C2semidirect
20. #26024809C2semidirect
21. #26024575C2semidirect
22. #26023997C2semidirect
23. #26023914C2semidirect
24. #26023806C2semidirect
25. #26023643C2semidirect
27. #26023581C2semidirect
28. #26022911C2semidirect
29. #26022829C2semidirect
30. #388×D89C2semidirect
31. C89×#2761C2semidirect
33. C2×#15668007C22semidirect
34. C2×#15667998C22semidirect
37. C2×#15667994C22semidirect
38. C2×#15667992C22semidirect
39. C2×#15667990C22semidirect
44. C2×#15667972C22semidirect
45. C2×C4⋊C4×D89C22semidirect
50. C2×C42×D89C22semidirect
51. C89⋊#401C22semidirect
52. #19151540C22semidirect
53. #19151539C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151539C22semidirect
57. #19151536C22semidirect
59. #19151533C22semidirect
60. #19151533C22semidirect
61. #19151532C22semidirect
62. #19151532C22semidirect
63. #19151531C22semidirect
64. #19151528C22semidirect
65. #19151527C22semidirect
67. #19151525C22semidirect
68. #19151524C22semidirect
69. #19151524C22semidirect
70. #19151524C22semidirect
71. #19151524C22semidirect
73. #19151522C22semidirect
75. #19151521C22semidirect
76. #19151520C22semidirect
77. #19151520C22semidirect
84. #19151514C22semidirect
85. #19151514C22semidirect
86. #19151513C22semidirect
87. #19151513C22semidirect
89. #19151511C22semidirect
93. #19151502C22semidirect
94. #19151502C22semidirect
95. #19151498C22semidirect
96. #19151498C22semidirect
97. #19151494C22semidirect
101. #19151492C22semidirect
103. #19151490C22semidirect
104. #19151490C22semidirect
105. #19151490C22semidirect
106. #19151489C22semidirect
107. #19151489C22semidirect
108. #19151489C22semidirect
109. #19151489C22semidirect
110. #19151489C22semidirect
111. #19151489C22semidirect
112. #19151488C22semidirect
113. #19151488C22semidirect
114. #19151488C22semidirect
115. #19151488C22semidirect
116. #19151488C22semidirect
117. #19151487C22semidirect
118. #19151487C22semidirect
119. #19151487C22semidirect
121. #19151485C22semidirect
122. #19151480C22semidirect
123. #19151480C22semidirect
137. #19151475C22semidirect
138. #19151475C22semidirect
139. #19151475C22semidirect
140. #19151474C22semidirect
141. #19151474C22semidirect
142. #19151474C22semidirect
143. #19151474C22semidirect
144. #19151472C22semidirect
147. #19151469C22semidirect
148. #19151469C22semidirect
149. #19151469C22semidirect
150. #19151469C22semidirect
151. #19151469C22semidirect
152. #19151465C22semidirect
153. #19151465C22semidirect
154. #19151462C22semidirect
156. #19151460C22semidirect
157. #19151459C22semidirect
158. #19151457C22semidirect
159. #19151457C22semidirect
160. #19151456C22semidirect
161. #19151455C22semidirect
162. #19151455C22semidirect
169. C4×#13083551C22semidirect
170. #95×D89C22semidirect
171. #95×D89C22semidirect
172. #398×C89C22semidirect
173. #397×C89C22semidirect
174. #397×C89C22semidirect
176. #396×C89C22semidirect
180. #388×C89C22semidirect
181. #387×C89C22semidirect
182. #387×C89C22semidirect
185. #382×C89C22semidirect
807. #2761D89semidirect
831. C89#36779semidirect
865. #398C2×D89semidirect
874. #397C2×D89semidirect
875. #397C2×D89semidirect
882. #396C2×D89semidirect
929. #388C2×D89semidirect
933. #387C2×D89semidirect
934. #387C2×D89semidirect
968. #382C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285702
#260285502
#260279122
#260279112
#260278672
#260276912
#260276752
#260275812
#260274812
#260273892
#260273612
#260272952
#260272902
#260272542
#260268792
#260266382
#260266272
#260260332
#260259992
#260248092
#260245752
#260239972
#260239142
#260238062
#260236432
#260236292
#260235812
#260229112
#260228292
#388×D892
C89×#27612
#3677989