Finite Group Databasebeta

← #36763240

Subgroups — #36763240

Order 22784.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028547C211yesmaximal, characteristic, complemented
2#26028533C211yesmaximal, characteristic, complemented
3#26028197C211yesmaximal, characteristic, complemented
4#26028102C211yesmaximal, characteristic, complemented
5#26027997C211yesmaximal, characteristic, complemented
6#26027952C211yesmaximal, characteristic, complemented
7#26027893C211yesmaximal, characteristic, complemented
8#26027877C211yesmaximal, characteristic, complemented
9#26027498C211yesmaximal, characteristic, complemented
10#26027483C211yesmaximal, characteristic, complemented
11#26027426C211yesmaximal, characteristic, complemented
12#26027047C211yesmaximal, characteristic, complemented
13#26026999C211yesmaximal, characteristic, complemented
14#26026975C211yesmaximal, characteristic, complemented
15#26026969C211yesmaximal, characteristic, complemented
16#26026792C211yesmaximal, characteristic, complemented
17#26026651C211yesmaximal, characteristic, complemented
18#26026612C211yesmaximal, characteristic, complemented
19#26026180C211yesmaximal, characteristic, complemented
20#26024510C211yesmaximal, characteristic, complemented
21#26024383C211yesmaximal, characteristic, complemented
22#26023993C211yesmaximal, characteristic, complemented
23#26023932C211yesmaximal, characteristic, complemented
24#26023860C211yesmaximal, characteristic, complemented
25#26023786C211yesmaximal, characteristic, complemented
26#26023635C211yesmaximal, characteristic, complemented
27#26023570C211yesmaximal, characteristic, complemented
28#26022920C211yesmaximal, characteristic, complemented
29#26022839C211yesmaximal, characteristic, complemented
30C2×#19151472C211yesmaximal, characteristic, complemented
31C89×#2643C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15667998C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667996C2211yescharacteristic
39C2×#15667994C2211yescharacteristic, complemented
40C2×#15667991C2211yescharacteristic
41C2×#15667987C2211yescharacteristic
42C2×#15667986C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667985C2211yescharacteristic
45C2×#15667984C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×#15667982C2211yescharacteristic
48C2×#15667980C2211yescharacteristic
49C2×#15667972C2211yescharacteristic
50C2×#15667968C2211yescharacteristic
51C22×C4⋊Dic89C2211yescharacteristic
52C22×#13083553C2211yescharacteristic
53C22×#13083551C2211yescharacteristic
54C22×#13083551C2211yescharacteristic
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151538C2211yescharacteristic, complemented
58#19151538C2211yescharacteristic, complemented
59#19151537C2211yescharacteristic, complemented
60#19151534C2211yescharacteristic, complemented
61#19151532C2211yescharacteristic, complemented
62#19151532C2211yescharacteristic, complemented
63#19151529C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic
65#19151525C2211yescharacteristic, complemented
66#19151525C2211yescharacteristic, complemented
67#19151525C2211yescharacteristic, complemented
68#19151525C2211yescharacteristic, complemented
69#19151520C2211yescharacteristic
70#19151520C2211yescharacteristic
71#19151520C2211yescharacteristic
72#19151520C2211yescharacteristic, complemented
73#19151519C2211yescharacteristic, complemented
74#19151518C2211yescharacteristic, complemented
75#19151516C2211yescharacteristic
76#19151516C2211yescharacteristic
77#19151516C2211yescharacteristic
78#19151516C2211yescharacteristic, complemented
79#19151516C2211yescharacteristic, complemented
80#19151515C2211yescharacteristic
81#19151514C2211yescharacteristic
82#19151514C2211yescharacteristic, complemented
83#19151514C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic
85#19151511C2211yescharacteristic
86#19151511C2211yescharacteristic
87#19151511C2211yescharacteristic
88#19151511C2211yescharacteristic, complemented
89#19151511C2211yescharacteristic, complemented
90#19151511C2211yescharacteristic, complemented
91#19151508C2211yescharacteristic
92#19151507C2211yescharacteristic
93#19151507C2211yescharacteristic
94#19151507C2211yescharacteristic, complemented
95#19151502C2211yescharacteristic, complemented
96#19151502C2211yescharacteristic, complemented
97#19151502C2211yescharacteristic, complemented
98#19151499C2211yescharacteristic
99#19151499C2211yescharacteristic
100#19151499C2211yescharacteristic
101#19151498C2211yescharacteristic
102#19151498C2211yescharacteristic, complemented
103#19151498C2211yescharacteristic, complemented
104#19151494C2211yescharacteristic, complemented
105#19151494C2211yescharacteristic, complemented
106#19151493C2211yescharacteristic, complemented
107#19151491C2211yescharacteristic, complemented
108#19151490C2211yescharacteristic
109#19151490C2211yescharacteristic
110#19151490C2211yescharacteristic
111#19151490C2211yescharacteristic
112#19151490C2211yescharacteristic, complemented
113#19151487C2211yescharacteristic
114#19151487C2211yescharacteristic, complemented
115#19151487C2211yescharacteristic, complemented
116#19151484C2211yescharacteristic, complemented
117#19151484C2211yescharacteristic, complemented
118#19151481C2211yescharacteristic, complemented
119#19151481C2211yescharacteristic, complemented
120#19151481C2211yescharacteristic, complemented
121#19151481C2211yescharacteristic, complemented
122#19151480C2211yescharacteristic, complemented
123#19151478C2211yescharacteristic
124#19151477C2211yescharacteristic
125#19151477C2211yescharacteristic
126#19151477C2211yescharacteristic
127#19151477C2211yescharacteristic
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic, complemented
136#19151475C2211yescharacteristic
137#19151475C2211yescharacteristic
138#19151475C2211yescharacteristic
139#19151475C2211yescharacteristic
140#19151475C2211yescharacteristic, complemented
141#19151474C2211yescharacteristic
142#19151474C2211yescharacteristic
143#19151473C2211yescharacteristic, complemented
144#19151472C2211yescharacteristic
145#19151472C2211yescharacteristic
146#19151472C2211yescharacteristic
147#19151472C2211yescharacteristic
148#19151472C2211yescharacteristic
149#19151472C2211yescharacteristic
150#19151472C2211yescharacteristic
151#19151472C2211yescharacteristic
152#19151472C2211yescharacteristic, complemented
153#19151472C2211yescharacteristic, complemented
154#19151470C2211yescharacteristic
155#19151469C2211yescharacteristic
156#19151469C2211yescharacteristic
157#19151469C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151460C2211yescharacteristic
160#19151460C2211yescharacteristic
161#19151459C2211yescharacteristic
162#19151457C2211yescharacteristic
163#19151457C2211yescharacteristic
164#19151457C2211yescharacteristic, complemented
165#19151457C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic
167#19151456C2211yescharacteristic, complemented
168#19151456C2211yescharacteristic, complemented
169#19151453C2211yescharacteristic
170C22⋊C4×Dic89C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172#401×C89C2211yescharacteristic, complemented
173#400×C89C2211yescharacteristic, complemented
174#400×C89C2211yescharacteristic, complemented
175#400×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#397×C89C2211yescharacteristic, complemented
178#397×C89C2211yescharacteristic, complemented
179#396×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C2×#13083573—24no—
189C2×#13083573—42no—
190C2×#13083573—42no—
191C22×Dic178C2311yescharacteristic
192C22×Dic178C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C22×C4×D89—42no—
209C22×C4×D89—42no—
210C22×C4×D89—42no—
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217#15668007—42no—
218#15667998—42no—
219#15667997—42no—
220#15667997—42no—
221#15667996—24no—
222#15667994—42no—
223#15667991—42no—
224#15667987—42no—
225#15667986—42no—
226#15667985—42no—
227#15667985—42no—
228#15667984—42no—
229#15667982—42no—
230#15667982—42no—
231#15667980—42no—
232#15667972—42no—
233#15667968—42no—
234C2×C4⋊Dic89—42no—
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×#13083553—42no—
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×#13083551—24no—
264C2×#13083551—42no—
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
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C2×C4⋊C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89C2311yescharacteristic
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×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
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
379C23×D89C2411yescharacteristic
380#13083573—416no—
381C2×Dic178—22no—
382C2×Dic178—41no—
383C2×Dic178—41no—
384C2×Dic178—41no—
385C2×Dic178—41no—
386C2×Dic178—41no—
387C2×D356—22no—
388C2×D356—22no—
389C2×D356—22no—
390C2×D356—22no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
396C2×D356—41no—
397C2×D356—41no—
398C2×D356—41no—
399C2×D356—41no—
400C2×D356—41no—
401C2×D356—41no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—22no—
410C2×C22⋊D89—22no—
411C2×C22⋊D89—22no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89—41no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89—41no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—22no—
424C22×Dic89—22no—
425C22×Dic89—22no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89—41no—
429C22×Dic89—41no—
430C22×Dic89—41no—
431C22×Dic89#4114yes—
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C2×C4×D89—22no—
445C2×C4×D89—22no—
446C2×C4×D89—22no—
447C2×C4×D89—22no—
448C2×C4×D89—22no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—416no—
460C2×C4×D89—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C4⋊Dic89—22no—
464C4⋊Dic89—22no—
465C4⋊Dic89—22no—
466C4⋊Dic89—22no—
467C4⋊Dic89—41no—
468C4⋊Dic89—41no—
469C4⋊Dic89—41no—
470C4⋊Dic89—41no—
471#13083553—22no—
472#13083553—22no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478#13083553—41no—
479#13083553—41no—
480#13083553—41no—
481#13083553—41no—
482#13083553—41no—
483#13083553—41no—
484#13083553—41no—
485C22⋊Dic89—22no—
486C22⋊Dic89—22no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
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—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524#13083551—41no—
525#13083551—41no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C4×Dic89—41no—
529C4×Dic89—41no—
530C4×Dic89—41no—
531C24×C89C2411yescharacteristic
532C24×C89C2411yescharacteristic
533C2×D4×C89—22no—
534C2×D4×C89—22no—
535C2×D4×C89—22no—
536C22×C4×C89—22no—
537C22×C4×C89—22no—
538C22×C4×C89—22no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89—41no—
543C22×C4×C89—41no—
544C22×C4×C89—41no—
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C4⋊C4×C89—41no—
562C4⋊C4×C89—41no—
563C4⋊C4×C89—41no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89C2×#4112yes—
585C23×C89H(5,𝔽2)12yes—
586C23×C89H(5,𝔽2)12yes—
587C23×C89C2511yescharacteristic
588C22×D89—28no—
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—21no—
599C22×D89—21no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89—44no—
619C22×D89—44no—
620C22×D89—44no—
621C22×D89H(5,𝔽2)12yes—
622C22×D892−1+412yes—
623D4×C89—44no—
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—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—44no—
664C2×C4×C89—44no—
665C2×C4×C89—82no—
666C22⋊D89—44no—
667C22⋊D89—44no—
668C22⋊D89—44no—
669C22⋊D89—82no—
670C22⋊D89—82no—
671C22⋊D89—82no—
672C2×Dic89—28no—
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—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—44no—
707C2×Dic89—44no—
708C2×Dic89—82no—
709C2×Dic89C2×#4112yes—
710C2×Dic89C2×#4112yes—
711C2×Dic89H(5,𝔽2)12yes—
712D356—82no—
713D356—82no—
714D356—82no—
715D356—82no—
716D356—82no—
717C4×D89—44no—
718C4×D89—44no—
719C4×D89—44no—
720C4×D89—44no—
721C4×D89—44no—
722C4×D89—82no—
723Dic178—44no—
724Dic178—82no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89#53814yes—
739C22×C89C22×#4111yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×H(5,𝔽2)11yescharacteristic
742C22×C89C2×H(5,𝔽2)11yescharacteristic
743C22×C89C2×H(5,𝔽2)11yescharacteristic
744C22×C89C2×2−1+411yescharacteristic
745C22×C89#58511yescharacteristic
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—416no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C4×C89—41no—
776C4×C89—41no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788Dic89—22no—
789Dic89—22no—
790Dic89—22no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36791—891nomaximal, Sylow
801C2×C89—24no—
802C2×C89—81no—
803C2×C89C2×#53811yescharacteristic
804C2×C89#349211yescharacteristic
805C2×C89#350611yescharacteristic
806C2×C89#353211yescharacteristic
807C2×C89#353411yescharacteristic
808C2×C89#353511yescharacteristic
809C2×C89#353611yescharacteristic
810D89—42no—
811D89—42no—
812D89—81no—
813D89—81no—
814#2849—891no—
815#2847—891no—
816#2804—891no—
817#2797—891no—
818#2788—891no—
819#2784—891no—
820#2780—891no—
821#2778—891no—
822#2751—891no—
823#2750—891no—
824#2745—891no—
825#2714—891no—
826#2710—891no—
827#2708—891no—
828#2708—891no—
829#2695—891no—
830#2686—891no—
831#2682—891no—
832#2643D8911yescharacteristic, complemented
833#2639—891no—
834#2481—891no—
835#2472—891no—
836#2443—891no—
837#2438—891no—
838#2430—891no—
839#2424—891no—
840#2411—891no—
841#2404—891no—
842#2322—891no—
843#2311—891no—
844C2×#385—891no—
845C89#3679111yescharacteristic, complemented, Sylow
846C22×#41—891no—
847C24×C4—891no—
848C2×#126—891no—
849C2×#124—891no—
850C2×#123—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×C22⋊Q8—891no—
855C2×#121—891no—
856C2×#121—891no—
857C2×#121—891no—
858C2×#121—891no—
859C2×#121—891no—
860C2×#120—891no—
861C2×#120—891no—
862C2×#120—891no—
863C2×C4×D4—891no—
864C2×#117—891no—
865C22×C4⋊C4—891no—
866C22×C4⋊C4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869#401C2×D8911yescharacteristic, complemented
870#400—891no—
871#400—891no—
872#400—891no—
873#400—891no—
874#400—891no—
875#400C2×D8911yescharacteristic, complemented
876#400C2×D8911yescharacteristic, complemented
877#400C2×D8911yescharacteristic, complemented
878#399—891no—
879#398—891no—
880#398—891no—
881#398—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397C2×D8911yescharacteristic, complemented
888#397C2×D8911yescharacteristic, complemented
889#397C2×D8911yescharacteristic, complemented
890#396—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396C2×D8911yescharacteristic, complemented
895#395—891no—
896#395—891no—
897#394—891no—
898#394—891no—
899#394—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#393—891no—
908#393—891no—
909#393—891no—
910#393—891no—
911#393—891no—
912#393—891no—
913#392—891no—
914#392—891no—
915#392—891no—
916#392—891no—
917#391—891no—
918#391—891no—
919#391—891no—
920#390—891no—
921#390—891no—
922#390—891no—
923#390—891no—
924#390—891no—
925#390—891no—
926#389—891no—
927#389—891no—
928#389—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386C2×D8911yescharacteristic
966#386C2×D8911yescharacteristic
967#386C2×D8911yescharacteristic
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385—891no—
984#385C2×D8911yescharacteristic
985#385C2×D8911yescharacteristic
986#385C2×D8911yescharacteristic
987#381—891no—
988#381—891no—
989#381—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380—891no—
997#379—891no—
998C4×C22⋊C4—891no—
999C2×#95—891no—
1000C2×#95C2×D8911yescharacteristic
1001C25—891no—
1002C2×#41—3562no—
1003C2×#41—3562no—
1004C2×#41—1784no—
1005C22×Q8—891no—
1006C22×Q8—891no—
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4—891no—
1017C22×D4—891no—
1018C22×D4C22×D8911yescharacteristic
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—3562no—
1030C23×C4—3562no—
1031C23×C4—3562no—
1032C23×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034C23×C4C22×D8911yescharacteristic
1035#126—3562no—
1036#124—3562no—
1037#123—3562no—
1038#123—3562no—
1039#123—3562no—
1040#123—1784no—
1041C22⋊Q8—3562no—
1042#121—3562no—
1043#121—3562no—
1044#121—3562no—
1045#121—3562no—
1046#121—3562no—
1047#120—3562no—
1048#120—3562no—
1049#120—3562no—
1050C4×D4—3562no—
1051#117—3562no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—3562no—
1075C2×C4⋊C4—3562no—
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—3562no—
1124C2×C22⋊C4—1784no—
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—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#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95C22×D8911yescharacteristic
1168#95C22×D8911yescharacteristic
1169#95C22×D8911yescharacteristic
1170#95C22×D8911yescharacteristic
1171#95C22×D8911yescharacteristic
1172#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183C24—891no—
1184C24—891no—
1185C24—891no—
1186C24—891no—
1187C24—3561no—
1188C24—3561no—
1189C24—1782no—
1190C24—1782no—
1191C24—1782no—
1192C24—1782no—
1193C24—1782no—
1194C24C23×D8911yescharacteristic
1195C24C23×D8911yescharacteristic
1196#41—35616no—
1197C2×Q8—3561no—
1198C2×Q8—3561no—
1199C2×Q8—3561no—
1200C2×Q8—3561no—
1201C2×Q8—3561no—
1202C2×Q8—1782no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—3561no—
1214C2×D4—3561no—
1215C2×D4—3561no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—894no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—35616no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—3561no—
1279C22×C4—3561no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C42—3561no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—892no—
1399C23—892no—
1400C23—3564no—
1401C23—3564no—
1402C23—3564no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—1788no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23—1781no—
1419C23—1781no—
1420C23—1781no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23#41×D8912yes—
1434C23#1566805812yes—
1435C23#1566805812yes—
1436C23C24×D8911yescharacteristic
1437Q8—3564no—
1438Q8—7122no—
1439D4—44no—
1440D4—3564no—
1441D4—3564no—
1442D4—3564no—
1443D4—7122no—
1444D4—7122no—
1445D4—7122no—
1446D4—7122no—
1447D4—7122no—
1448D4—7122no—
1449D4—7122no—
1450D4—7122no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—892no—
1494C2×C4—892no—
1495C2×C4—892no—
1496C2×C4—3564no—
1497C2×C4—3564no—
1498C2×C4—3564no—
1499C2×C4—3564no—
1500C2×C4—3564no—
1501C2×C4—3564no—
1502C2×C4—3564no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1788no—
1537C2×C4—7122no—
1538C2×C4—7122no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—35616no—
1553C22—3561no—
1554C22—3561no—
1555C22—3561no—
1556C22—3561no—
1557C22—3561no—
1558C22—3561no—
1559C22—3561no—
1560C22—3561no—
1561C22—3561no—
1562C22—3561no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—3561no—
1573C22—3561no—
1574C22—3561no—
1575C22—1782no—
1576C22—1782no—
1577C22—1782no—
1578C22—1782no—
1579C22—1782no—
1580C22—1782no—
1581C22#1915218714yes—
1582C22C2×#41×D8911yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22H(5,𝔽2)×D8911yescharacteristic
1585C22C2×#1566805811yescharacteristic
1586C22C2×#1566805811yescharacteristic
1587C222−1+4×D8911yescharacteristic
1588C22#1915243311yescharacteristic
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—1782no—
1612C4—1782no—
1613C4—1782no—
1614C2—24no—
1615C2—81no—
1616C2—3562no—
1617C2—3562no—
1618C2—7121no—
1619C2—7121no—
1620C2C2×#1915218711yescharacteristic
1621C2#2603395711yescharacteristic
1622C2#2603409911yescharacteristic
1623C2#2603440311yescharacteristic
1624C2#2603444311yescharacteristic
1625C2#2603445911yescharacteristic
1626C2#2603447611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2643C2
hypercenter#2643D89
hypocenterC89#36791
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2643

Complements

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

NH ≅ G/Ntype
1. #26028547C2semidirect
2. #26028533C2semidirect
3. #26028197C2semidirect
4. #26028102C2semidirect
5. #26027997C2semidirect
6. #26027952C2semidirect
7. #26027893C2semidirect
8. #26027877C2semidirect
9. #26027498C2semidirect
10. #26027483C2semidirect
11. #26027426C2semidirect
12. #26027047C2semidirect
13. #26026999C2semidirect
14. #26026975C2semidirect
15. #26026969C2semidirect
16. #26026792C2semidirect
17. #26026651C2semidirect
18. #26026612C2semidirect
19. #26026180C2semidirect
20. #26024510C2semidirect
21. #26024383C2semidirect
22. #26023993C2semidirect
23. #26023932C2semidirect
24. #26023860C2semidirect
25. #26023786C2semidirect
26. #26023635C2semidirect
27. #26023570C2semidirect
28. #26022920C2semidirect
29. #26022839C2semidirect
30. C2×#19151472C2semidirect
31. C89×#2643C2semidirect
34. C2×#15668007C22semidirect
39. C2×#15667994C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
57. #19151538C22semidirect
58. #19151538C22semidirect
59. #19151537C22semidirect
60. #19151534C22semidirect
61. #19151532C22semidirect
62. #19151532C22semidirect
63. #19151529C22semidirect
65. #19151525C22semidirect
66. #19151525C22semidirect
67. #19151525C22semidirect
68. #19151525C22semidirect
72. #19151520C22semidirect
73. #19151519C22semidirect
74. #19151518C22semidirect
78. #19151516C22semidirect
79. #19151516C22semidirect
82. #19151514C22semidirect
83. #19151514C22semidirect
88. #19151511C22semidirect
89. #19151511C22semidirect
90. #19151511C22semidirect
94. #19151507C22semidirect
95. #19151502C22semidirect
96. #19151502C22semidirect
97. #19151502C22semidirect
102. #19151498C22semidirect
103. #19151498C22semidirect
104. #19151494C22semidirect
105. #19151494C22semidirect
106. #19151493C22semidirect
107. #19151491C22semidirect
112. #19151490C22semidirect
114. #19151487C22semidirect
115. #19151487C22semidirect
116. #19151484C22semidirect
117. #19151484C22semidirect
118. #19151481C22semidirect
119. #19151481C22semidirect
120. #19151481C22semidirect
121. #19151481C22semidirect
122. #19151480C22semidirect
135. #19151476C22semidirect
140. #19151475C22semidirect
143. #19151473C22semidirect
152. #19151472C22semidirect
153. #19151472C22semidirect
157. #19151469C22semidirect
158. #19151469C22semidirect
164. #19151457C22semidirect
165. #19151457C22semidirect
167. #19151456C22semidirect
168. #19151456C22semidirect
172. #401×C89C22semidirect
173. #400×C89C22semidirect
174. #400×C89C22semidirect
175. #400×C89C22semidirect
176. #397×C89C22semidirect
177. #397×C89C22semidirect
178. #397×C89C22semidirect
179. #396×C89C22semidirect
832. #2643D89semidirect
845. C89#36791semidirect
869. #401C2×D89semidirect
875. #400C2×D89semidirect
876. #400C2×D89semidirect
877. #400C2×D89semidirect
887. #397C2×D89semidirect
888. #397C2×D89semidirect
889. #397C2×D89semidirect
894. #396C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285472
#260285332
#260281972
#260281022
#260279972
#260279522
#260278932
#260278772
#260274982
#260274832
#260274262
#260270472
#260269992
#260269752
#260269692
#260267922
#260266512
#260266122
#260261802
#260245102
#260243832
#260239932
#260239322
#260238602
#260237862
#260236352
#260235702
#260229202
#260228392
C2×#191514722
C89×#26432
#3679189