Finite Group Databasebeta

← #36762782

Subgroups — #36762782

Order 22784.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028543C211yesmaximal, characteristic, complemented
2#26028533C211yesmaximal, characteristic, complemented
3#26027900C211yesmaximal, characteristic, complemented
4#26027895C211yesmaximal, characteristic, complemented
5#26027726C211yesmaximal, characteristic, complemented
6#26027636C211yesmaximal, characteristic, complemented
7#26027526C211yesmaximal, characteristic, complemented
8#26027479C211yesmaximal, characteristic, complemented
9#26027460C211yesmaximal, characteristic, complemented
10#26027394C211yesmaximal, characteristic, complemented
11#26027319C211yesmaximal, characteristic, complemented
12#26027006C211yesmaximal, characteristic, complemented
13#26026952C211yesmaximal, characteristic, complemented
14#26026944C211yesmaximal, characteristic, complemented
15#26026869C211yesmaximal, characteristic, complemented
16#26026866C211yesmaximal, characteristic, complemented
17#26026683C211yesmaximal, characteristic, complemented
18#26026489C211yesmaximal, characteristic, complemented
19#26026036C211yesmaximal, characteristic, complemented
20#26026000C211yesmaximal, characteristic, complemented
21#26025184C211yesmaximal, characteristic, complemented
22#26025144C211yesmaximal, characteristic, complemented
23#26023977C211yesmaximal, characteristic, complemented
24#26023797C211yesmaximal, characteristic, complemented
25#26023782C211yesmaximal, characteristic, complemented
26#26023723C211yesmaximal, characteristic, complemented
27#26023708C211yesmaximal, characteristic, complemented
28#26023693C211yesmaximal, characteristic, complemented
29#26022886C211yesmaximal, characteristic, complemented
30C2×#19151472C211yesmaximal, characteristic, complemented
31C89×#2325C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C2×#15668003C2211yescharacteristic, complemented
34C2×#15667996C2211yescharacteristic
35C2×#15667995C2211yescharacteristic
36C2×#15667994C2211yescharacteristic
37C2×#15667994C2211yescharacteristic
38C2×#15667993C2211yescharacteristic
39C2×#15667993C2211yescharacteristic
40C2×#15667986C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667984C2211yescharacteristic
45C2×#15667983C2211yescharacteristic, complemented
46C2×#15667982C2211yescharacteristic
47C2×#15667980C2211yescharacteristic
48C2×#15667980C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C22×C4⋊Dic89C2211yescharacteristic
51C22×#13083553C2211yescharacteristic
52C22×#13083551C2211yescharacteristic
53C22×#13083551C2211yescharacteristic
54#19151540C2211yescharacteristic, complemented
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151536C2211yescharacteristic, complemented
59#19151534C2211yescharacteristic, complemented
60#19151534C2211yescharacteristic, complemented
61#19151533C2211yescharacteristic
62#19151533C2211yescharacteristic
63#19151533C2211yescharacteristic
64#19151532C2211yescharacteristic, complemented
65#19151532C2211yescharacteristic, complemented
66#19151532C2211yescharacteristic, complemented
67#19151532C2211yescharacteristic, complemented
68#19151530C2211yescharacteristic, complemented
69#19151530C2211yescharacteristic, complemented
70#19151529C2211yescharacteristic, complemented
71#19151528C2211yescharacteristic, complemented
72#19151526C2211yescharacteristic, complemented
73#19151526C2211yescharacteristic, complemented
74#19151526C2211yescharacteristic, complemented
75#19151526C2211yescharacteristic, complemented
76#19151524C2211yescharacteristic
77#19151523C2211yescharacteristic, complemented
78#19151522C2211yescharacteristic, complemented
79#19151522C2211yescharacteristic, complemented
80#19151521C2211yescharacteristic, complemented
81#19151521C2211yescharacteristic, complemented
82#19151521C2211yescharacteristic, complemented
83#19151521C2211yescharacteristic, complemented
84#19151520C2211yescharacteristic
85#19151520C2211yescharacteristic
86#19151520C2211yescharacteristic
87#19151520C2211yescharacteristic, complemented
88#19151515C2211yescharacteristic
89#19151515C2211yescharacteristic
90#19151515C2211yescharacteristic
91#19151514C2211yescharacteristic
92#19151514C2211yescharacteristic, complemented
93#19151514C2211yescharacteristic, complemented
94#19151514C2211yescharacteristic, complemented
95#19151513C2211yescharacteristic
96#19151513C2211yescharacteristic
97#19151513C2211yescharacteristic, complemented
98#19151513C2211yescharacteristic, complemented
99#19151507C2211yescharacteristic
100#19151506C2211yescharacteristic
101#19151506C2211yescharacteristic
102#19151501C2211yescharacteristic, complemented
103#19151500C2211yescharacteristic
104#19151498C2211yescharacteristic
105#19151498C2211yescharacteristic
106#19151498C2211yescharacteristic
107#19151498C2211yescharacteristic
108#19151497C2211yescharacteristic, complemented
109#19151496C2211yescharacteristic, complemented
110#19151494C2211yescharacteristic, complemented
111#19151494C2211yescharacteristic, complemented
112#19151490C2211yescharacteristic
113#19151490C2211yescharacteristic
114#19151489C2211yescharacteristic
115#19151489C2211yescharacteristic
116#19151489C2211yescharacteristic
117#19151489C2211yescharacteristic, complemented
118#19151487C2211yescharacteristic, complemented
119#19151487C2211yescharacteristic, complemented
120#19151482C2211yescharacteristic, complemented
121#19151482C2211yescharacteristic, complemented
122#19151480C2211yescharacteristic, complemented
123#19151480C2211yescharacteristic, complemented
124#19151478C2211yescharacteristic
125#19151478C2211yescharacteristic
126#19151477C2211yescharacteristic
127#19151477C2211yescharacteristic
128#19151477C2211yescharacteristic
129#19151477C2211yescharacteristic
130#19151477C2211yescharacteristic, complemented
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic
139#19151473C2211yescharacteristic
140#19151473C2211yescharacteristic
141#19151472C2211yescharacteristic
142#19151472C2211yescharacteristic
143#19151472C2211yescharacteristic
144#19151472C2211yescharacteristic
145#19151472C2211yescharacteristic
146#19151472C2211yescharacteristic
147#19151472C2211yescharacteristic
148#19151472C2211yescharacteristic
149#19151472C2211yescharacteristic
150#19151472C2211yescharacteristic
151#19151471C2211yescharacteristic
152#19151471C2211yescharacteristic
153#19151471C2211yescharacteristic, complemented
154#19151465C2211yescharacteristic, complemented
155#19151463C2211yescharacteristic, complemented
156#19151462C2211yescharacteristic, complemented
157#19151461C2211yescharacteristic, complemented
158#19151460C2211yescharacteristic
159#19151460C2211yescharacteristic
160#19151460C2211yescharacteristic, complemented
161#19151459C2211yescharacteristic
162#19151458C2211yescharacteristic, complemented
163#19151457C2211yescharacteristic
164#19151457C2211yescharacteristic
165#19151457C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic
167#19151456C2211yescharacteristic
168#19151455C2211yescharacteristic, complemented
169#19151453C2211yescharacteristic
170C4×C22⋊Dic89C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C2×#121×C89C2211yescharacteristic
173C2×C4×D4×C89C2211yescharacteristic
174C2×C4×D4×C89C2211yescharacteristic
175#388×C89C2211yescharacteristic, complemented
176#388×C89C2211yescharacteristic, complemented
177#387×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#386×C89C2211yescharacteristic
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic, complemented
183#385×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic, complemented
185#380×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C22×C4×D89—42no—
201C22×C4×D89—42no—
202C22×C4×D89—42no—
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208#15668003—42no—
209#15667996—42no—
210#15667995—42no—
211#15667994—42no—
212#15667994—42no—
213#15667993—42no—
214#15667993—42no—
215#15667986—42no—
216#15667985—42no—
217#15667985—42no—
218#15667984—42no—
219#15667984—42no—
220#15667983—42no—
221#15667982—42no—
222#15667980—42no—
223#15667980—42no—
224C4×C22⋊D89—24no—
225C2×C4⋊Dic89—42no—
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×#13083553—42no—
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×#13083551—24no—
270C2×#13083551—42no—
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×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339#121×C89—24no—
340C4×D4×C89—42no—
341C4×D4×C89—42no—
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C42×C89C2311yescharacteristic
358C2×C42×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C2×D356—22no—
380C2×D356—22no—
381C2×D356—41no—
382C2×D356—41no—
383C2×D356—41no—
384C2×D356—41no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—22no—
391C2×C22⋊D89—22no—
392C2×C22⋊D89—22no—
393C2×C22⋊D89—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—41no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C22×Dic89—22no—
407C22×Dic89—22no—
408C22×Dic89—22no—
409C22×Dic89—22no—
410C22×Dic89—22no—
411C22×Dic89—22no—
412C22×Dic89—41no—
413C22×Dic89—41no—
414C22×Dic89—41no—
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
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—416no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C4⋊Dic89—22no—
445C4⋊Dic89—22no—
446C4⋊Dic89—22no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450C4⋊Dic89—41no—
451C4⋊Dic89—41no—
452C4⋊Dic89—41no—
453C4⋊Dic89—41no—
454#13083553—22no—
455#13083553—22no—
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—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473C22⋊Dic89—22no—
474C22⋊Dic89—22no—
475C22⋊Dic89—22no—
476C22⋊Dic89—22no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486#13083551—22no—
487#13083551—22no—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
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—
511#13083551—41no—
512#13083551—41no—
513C4×Dic89—22no—
514C4×Dic89—41no—
515C4×Dic89—41no—
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C2×D4×C89—22no—
520C2×D4×C89—22no—
521C2×D4×C89—22no—
522C2×D4×C89—22no—
523C2×D4×C89—22no—
524C2×D4×C89—22no—
525C2×D4×C89—22no—
526C2×D4×C89—41no—
527C2×D4×C89—41no—
528C22×C4×C89—22no—
529C22×C4×C89—22no—
530C22×C4×C89—41no—
531C22×C4×C89—41no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89#4114yes—
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
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
555C4⋊C4×C89—22no—
556C4⋊C4×C89—41no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C42×C89—41no—
571C42×C89—41no—
572C23×C89—21no—
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×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89C2×#4112yes—
591C23×C89H(5,𝔽2)12yes—
592C23×C89H(5,𝔽2)12yes—
593C23×C89C2511yescharacteristic
594C22×D89—28no—
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—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89—44no—
619C22×D89—44no—
620C22×D89H(5,𝔽2)12yes—
621C22×D892−1+412yes—
622D4×C89—44no—
623D4×C89—44no—
624D4×C89—82no—
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—44no—
660C2×C4×C89—44no—
661C2×C4×C89—82no—
662C2×C4×C89—82no—
663C2×C4×C89—82no—
664C2×C4×C89C2×#4112yes—
665C2×C4×C89C2×#4112yes—
666C22⋊D89—44no—
667C22⋊D89—82no—
668C22⋊D89—82no—
669C22⋊D89—82no—
670C22⋊D89—82no—
671C22⋊D89—82no—
672C22⋊D89—82no—
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—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—44no—
712C2×Dic89—44no—
713C2×Dic89—82no—
714C2×Dic89H(5,𝔽2)12yes—
715D356—82no—
716D356—82no—
717C4×D89—44no—
718C4×D89—44no—
719C4×D89—44no—
720C4×D89—44no—
721C4×D89—82no—
722C22×C89—22no—
723C22×C89—22no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89—41no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89#54014yes—
743C22×C89C22×#4111yescharacteristic
744C22×C89C2×H(5,𝔽2)11yescharacteristic
745C22×C89C2×H(5,𝔽2)11yescharacteristic
746C22×C89C2×H(5,𝔽2)11yescharacteristic
747C22×C89C2×H(5,𝔽2)11yescharacteristic
748C22×C89C2×2−1+411yescharacteristic
749C22×C89#58511yescharacteristic
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—416no—
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—
772C4×C89—22no—
773C4×C89—22no—
774C4×C89—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—
784Dic89—22no—
785Dic89—41no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797#36777—891nomaximal, Sylow
798C2×C89—24no—
799C2×C89—81no—
800C2×C89—81no—
801C2×C89C2×#54011yescharacteristic
802C2×C89#349211yescharacteristic
803C2×C89#350511yescharacteristic
804C2×C89#353211yescharacteristic
805C2×C89#353411yescharacteristic
806C2×C89#353511yescharacteristic
807C2×C89#353611yescharacteristic
808D89—42no—
809D89—42no—
810D89—81no—
811#2849—891no—
812#2847—891no—
813#2780—891no—
814#2780—891no—
815#2768—891no—
816#2761—891no—
817#2753—891no—
818#2749—891no—
819#2748—891no—
820#2743—891no—
821#2738—891no—
822#2711—891no—
823#2707—891no—
824#2706—891no—
825#2701—891no—
826#2701—891no—
827#2688—891no—
828#2671—891no—
829#2623—891no—
830#2618—891no—
831#2539—891no—
832#2534—891no—
833#2442—891no—
834#2425—891no—
835#2424—891no—
836#2419—891no—
837#2418—891no—
838#2416—891no—
839#2325D8911yescharacteristic, complemented
840#2318—891no—
841C2×#385—891no—
842C89#3677711yescharacteristic, complemented, Sylow
843C24×C4—891no—
844C2×#125—891no—
845C2×#123—891no—
846C2×#123—891no—
847C2×#123—891no—
848C2×#123—891no—
849C2×#123—891no—
850C2×#123—891no—
851C2×#121—891no—
852C2×#121—891no—
853C2×#121—891no—
854C2×#121—891no—
855C2×#121—891no—
856C2×#121—891no—
857C2×#121C2×D8911yescharacteristic
858C2×#120—891no—
859C2×#120—891no—
860C2×#120—891no—
861C2×C4×D4—891no—
862C2×C4×D4C2×D8911yescharacteristic
863C2×C4×D4C2×D8911yescharacteristic
864C22×C4⋊C4—891no—
865C22×C4⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C22⋊C4—891no—
868#400—891no—
869#400—891no—
870#400—891no—
871#400—891no—
872#400—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#399—891no—
878#398—891no—
879#398—891no—
880#398—891no—
881#398—891no—
882#398—891no—
883#398—891no—
884#398—891no—
885#398—891no—
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#397—891no—
891#397—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#396—891no—
900#396—891no—
901#396—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#392—891no—
914#392—891no—
915#392—891no—
916#390—891no—
917#390—891no—
918#390—891no—
919#390—891no—
920#390—891no—
921#390—891no—
922#389—891no—
923#389—891no—
924#389—891no—
925#389—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388C2×D8911yescharacteristic, complemented
935#388C2×D8911yescharacteristic, complemented
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387C2×D8911yescharacteristic, complemented
941#387C2×D8911yescharacteristic, complemented
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#386C2×D8911yescharacteristic
958#386C2×D8911yescharacteristic
959#386C2×D8911yescharacteristic, complemented
960#386C2×D8911yescharacteristic, complemented
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#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385C2×D8911yescharacteristic, complemented
977#385C2×D8911yescharacteristic, complemented
978#383—891no—
979#382—891no—
980#382—891no—
981#381—891no—
982#381—891no—
983#381—891no—
984#381—891no—
985#381—891no—
986#380—891no—
987#380—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380C2×D8911yescharacteristic
994#379—891no—
995C4×C22⋊C4—891no—
996C2×#95—891no—
997C2×#95C2×D8911yescharacteristic
998C25—891no—
999C22×D4—891no—
1000C22×D4—891no—
1001C22×D4—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4—891no—
1008C22×D4C22×D8911yescharacteristic
1009C22×D4C22×D8911yescharacteristic
1010C22×D4C22×D8911yescharacteristic
1011C23×C4—891no—
1012C23×C4—891no—
1013C23×C4—891no—
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—3562no—
1020C23×C4—3562no—
1021C23×C4—3562no—
1022C23×C4C22×D8911yescharacteristic
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026C23×C4C22×D8911yescharacteristic
1027#125—3562no—
1028#123—3562no—
1029#123—3562no—
1030#123—3562no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034#121—24no—
1035#121—3562no—
1036#121—3562no—
1037#121—3562no—
1038#121—3562no—
1039#121—3562no—
1040#121—3562no—
1041#120—3562no—
1042#120—3562no—
1043#120—3562no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—1784no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
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—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—3562no—
1077C2×C4⋊C4—3562no—
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
1082C2×C4⋊C4C22×D8911yescharacteristic
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×C22⋊C4C22×D8911yescharacteristic
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42C22×D8911yescharacteristic
1139C2×C42C22×D8911yescharacteristic
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#95—891no—
1168#95—891no—
1169#95—891no—
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
1180C24—891no—
1181C24—891no—
1182C24—891no—
1183C24—3561no—
1184C24—3561no—
1185C24—1782no—
1186C24—1782no—
1187C24—1782no—
1188C24—1782no—
1189C24—1782no—
1190C24C23×D8911yescharacteristic
1191C24C23×D8911yescharacteristic
1192C24C23×D8911yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—3561no—
1203C2×D4—3561no—
1204C2×D4—3561no—
1205C2×D4—3561no—
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—1782no—
1220C2×D4—1782no—
1221C2×D4—1782no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—3561no—
1257C22×C4—3561no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—35616no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—1782no—
1271C22×C4—1782no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4#1308357414yes—
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—3561no—
1300C4⋊C4—3561no—
1301C4⋊C4—3561no—
1302C4⋊C4—3561no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
1305C4⋊C4—3561no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
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—1782no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
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—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
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—
1378C42—41no—
1379C42—41no—
1380C42—3561no—
1381C42—3561no—
1382C42—1782no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—892no—
1402C23—892no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—3564no—
1407C23—3564no—
1408C23—3564no—
1409C23—1788no—
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—
1429C23C2×#1308357412yes—
1430C23#1566805712yes—
1431C23#1566805812yes—
1432C23C24×D8911yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—82no—
1436D4—3564no—
1437D4—7122no—
1438D4—7122no—
1439D4—7122no—
1440D4—7122no—
1441D4—7122no—
1442D4—7122no—
1443D4—7122no—
1444D4—7122no—
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—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—44no—
1480C2×C4—44no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—892no—
1485C2×C4—3564no—
1486C2×C4—3564no—
1487C2×C4—3564no—
1488C2×C4—3564no—
1489C2×C4—3564no—
1490C2×C4—3564no—
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—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—7122no—
1530C2×C4—7122no—
1531C2×C4C2×#1308357412yes—
1532C2×C4C2×#1308357412yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—35616no—
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—1782no—
1570C22—1782no—
1571C22—1782no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22#1915219914yes—
1576C22C22×#1308357411yescharacteristic
1577C22H(5,𝔽2)×D8911yescharacteristic
1578C22H(5,𝔽2)×D8911yescharacteristic
1579C22C2×#1566805711yescharacteristic
1580C22C2×#1566805811yescharacteristic
1581C222−1+4×D8911yescharacteristic
1582C22#1915243311yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—3561no—
1596C4—3561no—
1597C4—3561no—
1598C4—3561no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—1782no—
1608C2—24no—
1609C2—81no—
1610C2—81no—
1611C2—3562no—
1612C2—3562no—
1613C2—7121no—
1614C2C2×#1915219911yescharacteristic
1615C2#2603395511yescharacteristic
1616C2#2603408211yescharacteristic
1617C2#2603440311yescharacteristic
1618C2#2603443911yescharacteristic
1619C2#2603445911yescharacteristic
1620C2#2603446911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2325C2
hypercenter#2325D89
hypocenterC89#36777
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. #26028543C2semidirect
2. #26028533C2semidirect
3. #26027900C2semidirect
4. #26027895C2semidirect
5. #26027726C2semidirect
6. #26027636C2semidirect
7. #26027526C2semidirect
8. #26027479C2semidirect
9. #26027460C2semidirect
10. #26027394C2semidirect
11. #26027319C2semidirect
12. #26027006C2semidirect
13. #26026952C2semidirect
14. #26026944C2semidirect
15. #26026869C2semidirect
16. #26026866C2semidirect
17. #26026683C2semidirect
18. #26026489C2semidirect
19. #26026036C2semidirect
20. #26026000C2semidirect
21. #26025184C2semidirect
22. #26025144C2semidirect
23. #26023977C2semidirect
24. #26023797C2semidirect
25. #26023782C2semidirect
26. #26023723C2semidirect
27. #26023708C2semidirect
28. #26023693C2semidirect
29. #26022886C2semidirect
30. C2×#19151472C2semidirect
31. C89×#2325C2semidirect
33. C2×#15668003C22semidirect
45. C2×#15667983C22semidirect
54. #19151540C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
57. #19151539C22semidirect
58. #19151536C22semidirect
59. #19151534C22semidirect
60. #19151534C22semidirect
64. #19151532C22semidirect
65. #19151532C22semidirect
66. #19151532C22semidirect
67. #19151532C22semidirect
68. #19151530C22semidirect
69. #19151530C22semidirect
70. #19151529C22semidirect
71. #19151528C22semidirect
72. #19151526C22semidirect
73. #19151526C22semidirect
74. #19151526C22semidirect
75. #19151526C22semidirect
77. #19151523C22semidirect
78. #19151522C22semidirect
79. #19151522C22semidirect
80. #19151521C22semidirect
81. #19151521C22semidirect
82. #19151521C22semidirect
83. #19151521C22semidirect
87. #19151520C22semidirect
92. #19151514C22semidirect
93. #19151514C22semidirect
94. #19151514C22semidirect
97. #19151513C22semidirect
98. #19151513C22semidirect
102. #19151501C22semidirect
108. #19151497C22semidirect
109. #19151496C22semidirect
110. #19151494C22semidirect
111. #19151494C22semidirect
117. #19151489C22semidirect
118. #19151487C22semidirect
119. #19151487C22semidirect
120. #19151482C22semidirect
121. #19151482C22semidirect
122. #19151480C22semidirect
123. #19151480C22semidirect
130. #19151477C22semidirect
153. #19151471C22semidirect
154. #19151465C22semidirect
155. #19151463C22semidirect
156. #19151462C22semidirect
157. #19151461C22semidirect
160. #19151460C22semidirect
162. #19151458C22semidirect
165. #19151457C22semidirect
168. #19151455C22semidirect
175. #388×C89C22semidirect
176. #388×C89C22semidirect
177. #387×C89C22semidirect
178. #387×C89C22semidirect
181. #386×C89C22semidirect
182. #386×C89C22semidirect
183. #385×C89C22semidirect
184. #385×C89C22semidirect
839. #2325D89semidirect
842. C89#36777semidirect
934. #388C2×D89semidirect
935. #388C2×D89semidirect
940. #387C2×D89semidirect
941. #387C2×D89semidirect
959. #386C2×D89semidirect
960. #386C2×D89semidirect
976. #385C2×D89semidirect
977. #385C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285432
#260285332
#260279002
#260278952
#260277262
#260276362
#260275262
#260274792
#260274602
#260273942
#260273192
#260270062
#260269522
#260269442
#260268692
#260268662
#260266832
#260264892
#260260362
#260260002
#260251842
#260251442
#260239772
#260237972
#260237822
#260237232
#260237082
#260236932
#260228862
C2×#191514722
C89×#23252
#3677789