Finite Group Databasebeta

← #36727253

Subgroups — #36727253

Order 22784.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028578C211yesmaximal, characteristic, complemented
2#26028577C211yesmaximal, characteristic, complemented
3#26028565C211yesmaximal, characteristic, complemented
4#26028549C211yesmaximal, characteristic, complemented
5#26026322C211yesmaximal, characteristic, complemented
6#26026254C211yesmaximal, characteristic, complemented
7#26026247C211yesmaximal, characteristic, complemented
8#26026237C211yesmaximal, characteristic, complemented
9#26024916C211yesmaximal, characteristic, complemented
10#26024907C211yesmaximal, characteristic, complemented
11#26024812C211yesmaximal, characteristic, complemented
12#26024805C211yesmaximal, characteristic, complemented
13#26024748C211yesmaximal, characteristic, complemented
14#26024580C211yesmaximal, characteristic, complemented
15#26024491C211yesmaximal, characteristic, complemented
16#26024379C211yesmaximal, characteristic, complemented
17#26024308C211yesmaximal, characteristic, complemented
18#26024186C211yesmaximal, characteristic, complemented
19#26023916C211yesmaximal, characteristic, complemented
20#26023797C211yesmaximal, characteristic, complemented
21#26023651C211yesmaximal, characteristic, complemented
22#26023623C211yesmaximal, characteristic
23#26023578C211yesmaximal, characteristic, complemented
24#26022981C211yesmaximal, characteristic, complemented
25#26022908C211yesmaximal, characteristic, complemented
26#26022881C211yesmaximal, characteristic, complemented
27#26022846C211yesmaximal, characteristic, complemented
28C4×#15667980C211yesmaximal, characteristic, complemented
29#386×D89C211yesmaximal, characteristic, complemented
30C2×#19151445C211yesmaximal, characteristic, complemented
31C89×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D89C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15667998C2211yescharacteristic, complemented
36C2×#15667996C2211yescharacteristic
37C2×#15667993C2211yescharacteristic
38C2×#15667993C2211yescharacteristic, complemented
39C2×#15667992C2211yescharacteristic
40C2×#15667989C2211yescharacteristic, complemented
41C2×#15667984C2211yescharacteristic
42C2×#15667980C2211yescharacteristic
43C2×#15667980C2211yescharacteristic
44C2×C4×C22⋊D89C2211yescharacteristic
45C2×C4×C22⋊D89C2211yescharacteristic, complemented
46C22×#13083551C2211yescharacteristic
47C22×#13083551C2211yescharacteristic
48C2×C22⋊C4×D89C2211yescharacteristic
49C2×C22⋊C4×D89C2211yescharacteristic
50C2×C22⋊C4×D89C2211yescharacteristic
51C22×C4×Dic89C2211yescharacteristic, complemented
52C22×C4×Dic89C2211yescharacteristic, complemented
53C89⋊#401C2211yescharacteristic, complemented
54#19151540C2211yescharacteristic, complemented
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151535C2211yescharacteristic, complemented
58#19151528C2211yescharacteristic, complemented
59#19151527C2211yescharacteristic, complemented
60#19151527C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151525C2211yescharacteristic, complemented
64#19151523C2211yescharacteristic, complemented
65#19151520C2211yescharacteristic, complemented
66#19151520C2211yescharacteristic, complemented
67#19151520C2211yescharacteristic, complemented
68#19151516C2211yescharacteristic
69#19151516C2211yescharacteristic
70#19151515C2211yescharacteristic
71#19151514C2211yescharacteristic
72#19151514C2211yescharacteristic
73#19151514C2211yescharacteristic, complemented
74#19151513C2211yescharacteristic
75#19151513C2211yescharacteristic, complemented
76#19151513C2211yescharacteristic, complemented
77#19151511C2211yescharacteristic, complemented
78#19151510C2211yescharacteristic, complemented
79#19151507C2211yescharacteristic
80#19151506C2211yescharacteristic
81#19151502C2211yescharacteristic, complemented
82#19151502C2211yescharacteristic, complemented
83#19151501C2211yescharacteristic, complemented
84#19151501C2211yescharacteristic, complemented
85#19151498C2211yescharacteristic, complemented
86#19151496C2211yescharacteristic, complemented
87#19151494C2211yescharacteristic, complemented
88#19151494C2211yescharacteristic, complemented
89#19151492C2211yescharacteristic, complemented
90#19151491C2211yescharacteristic, complemented
91#19151491C2211yescharacteristic, complemented
92#19151491C2211yescharacteristic, complemented
93#19151490C2211yescharacteristic, complemented
94#19151490C2211yescharacteristic, complemented
95#19151489C2211yescharacteristic, complemented
96#19151488C2211yescharacteristic, complemented
97#19151488C2211yescharacteristic, complemented
98#19151487C2211yescharacteristic, complemented
99#19151487C2211yescharacteristic, complemented
100#19151487C2211yescharacteristic, complemented
101#19151487C2211yescharacteristic, complemented
102#19151486C2211yescharacteristic, complemented
103#19151486C2211yescharacteristic, complemented
104#19151486C2211yescharacteristic, complemented
105#19151486C2211yescharacteristic, complemented
106#19151486C2211yescharacteristic, complemented
107#19151486C2211yescharacteristic, complemented
108#19151486C2211yescharacteristic, complemented
109#19151485C2211yescharacteristic, complemented
110#19151485C2211yescharacteristic, complemented
111#19151485C2211yescharacteristic, complemented
112#19151484C2211yescharacteristic, complemented
113#19151484C2211yescharacteristic, complemented
114#19151483C2211yescharacteristic, complemented
115#19151481C2211yescharacteristic, complemented
116#19151480C2211yescharacteristic, complemented
117#19151478C2211yescharacteristic
118#19151478C2211yescharacteristic
119#19151478C2211yescharacteristic, complemented
120#19151477C2211yescharacteristic
121#19151477C2211yescharacteristic
122#19151477C2211yescharacteristic
123#19151477C2211yescharacteristic, complemented
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151475C2211yescharacteristic
127#19151474C2211yescharacteristic
128#19151474C2211yescharacteristic
129#19151474C2211yescharacteristic
130#19151474C2211yescharacteristic
131#19151474C2211yescharacteristic
132#19151474C2211yescharacteristic
133#19151474C2211yescharacteristic, complemented
134#19151473C2211yescharacteristic, complemented
135#19151472C2211yescharacteristic
136#19151472C2211yescharacteristic
137#19151472C2211yescharacteristic
138#19151472C2211yescharacteristic
139#19151471C2211yescharacteristic, complemented
140#19151470C2211yescharacteristic, complemented
141#19151469C2211yescharacteristic
142#19151469C2211yescharacteristic
143#19151469C2211yescharacteristic, complemented
144#19151465C2211yescharacteristic, complemented
145#19151465C2211yescharacteristic, complemented
146#19151462C2211yescharacteristic, complemented
147#19151462C2211yescharacteristic, complemented
148#19151459C2211yescharacteristic, complemented
149#19151458C2211yescharacteristic, complemented
150#19151458C2211yescharacteristic, complemented
151#19151457C2211yescharacteristic
152#19151457C2211yescharacteristic
153#19151455C2211yescharacteristic
154#19151453C2211yescharacteristic
155#19151453C2211yescharacteristic
156#19151453C2211yescharacteristic
157#19151453C2211yescharacteristic
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic, complemented
160C4×C22⋊Dic89C2211yescharacteristic, complemented
161#19151445C2211yescharacteristic
162#19151445C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic, complemented
166#19151445C2211yescharacteristic, complemented
167#19151445C2211yescharacteristic, complemented
168#19151445C2211yescharacteristic, complemented
169C2×#15667919C2211yescharacteristic, complemented
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172C2×#121×C89C2211yescharacteristic
173C2×C4×D4×C89C2211yescharacteristic, complemented
174#400×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#394×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic, complemented
183#386×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic, complemented
185#381×C89C2211yescharacteristic, complemented
186C2×#95×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C2×D4×D89—24no—
197C2×D4×D89—42no—
198C2×D4×D89—42no—
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C22×C4×D89—24no—
203C22×C4×D89—42no—
204C22×C4×D89—42no—
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212#15668005—42no—
213#15667998—42no—
214#15667996—42no—
215#15667993—42no—
216#15667993—42no—
217#15667992—24no—
218#15667989—42no—
219#15667984—42no—
220#15667980—24no—
221#15667980—24no—
222C4×C22⋊D89—24no—
223C4×C22⋊D89—42no—
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
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×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×#13083551—24no—
257C2×#13083551—24no—
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
285C22⋊C4×D89—24no—
286C22⋊C4×D89—42no—
287C22⋊C4×D89—42no—
288C2×C4×Dic89—42no—
289C2×C4×Dic89—42no—
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339#121×C89—42no—
340C4×D4×C89—42no—
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊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
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C42×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—22no—
375C23×D89—22no—
376C23×D89—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89#4114yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C2×Dic178—22no—
387C2×Dic178—41no—
388C2×Dic178—41no—
389C2×D356—22no—
390C2×D356—41no—
391C2×D356—41no—
392C2×C22⋊D89—22no—
393C2×C22⋊D89—22no—
394C2×C22⋊D89—22no—
395C2×C22⋊D89—22no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407D4×D89—416no—
408C22×Dic89—22no—
409C22×Dic89—22no—
410C22×Dic89—22no—
411C22×Dic89—22no—
412C22×Dic89—22no—
413C22×Dic89—22no—
414C22×Dic89—22no—
415C22×Dic89—22no—
416C22×Dic89—41no—
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C2×C4×D89—22no—
431C2×C4×D89—22no—
432C2×C4×D89—22no—
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
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—416no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89#4114yes—
452C4⋊Dic89—22no—
453C4⋊Dic89—22no—
454C4⋊Dic89—41no—
455C4⋊Dic89—41no—
456C4⋊Dic89—41no—
457C4⋊Dic89—41no—
458C4⋊Dic89—41no—
459#13083553—22no—
460#13083553—22no—
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—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474C22⋊Dic89—22no—
475C22⋊Dic89—22no—
476C22⋊Dic89—22no—
477C22⋊Dic89—22no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484#13083551—22no—
485#13083551—22no—
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—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
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#4114yes—
511C4×Dic89—22no—
512C4×Dic89—22no—
513C4×Dic89—22no—
514C4×Dic89—41no—
515C4×Dic89—41no—
516C4×Dic89—41no—
517C4×Dic89—41no—
518C4×Dic89—41no—
519C4×Dic89—41no—
520C4×Dic89—41no—
521C24×C89C2411yescharacteristic
522C24×C89C2411yescharacteristic
523C24×C89C2411yescharacteristic
524C2×D4×C89—22no—
525C2×D4×C89—22no—
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C22×C4×C89—22no—
534C22×C4×C89—22no—
535C22×C4×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
557C4⋊C4×C89—22no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
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—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C42×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×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89C2×#4112yes—
592C23×C89H(5,𝔽2)12yes—
593C23×C89H(5,𝔽2)12yes—
594C23×C89C2511yescharacteristic
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—21no—
598C22×D89—21no—
599C22×D89—28no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—28no—
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×D89—44no—
621C22×D89—44no—
622C22×D89—82no—
623C22×D89—82no—
624C22×D89—82no—
625C22×D89—82no—
626C22×D89C2×#4112yes—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629C22×D89C2×#4112yes—
630D4×C89—44no—
631D4×C89—44no—
632D4×C89—82no—
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—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—44no—
668C2×C4×C89—44no—
669C2×C4×C89—44no—
670C2×C4×C89—82no—
671C2×C4×C89C2×#4112yes—
672C2×C4×C89C2×#4112yes—
673C22⋊D89—44no—
674C22⋊D89—44no—
675C22⋊D89—44no—
676C22⋊D89—44no—
677C22⋊D89—82no—
678C2×Dic89—28no—
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—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—44no—
716C2×Dic89—44no—
717C2×Dic89C2×#4112yes—
718C2×Dic89C2×#4112yes—
719C2×Dic89H(5,𝔽2)12yes—
720D356—44no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—44no—
725C4×D89—44no—
726C4×D89—82no—
727C4×D89—82no—
728Dic178—82no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89#53814yes—
750C22×C89C22×#4111yescharacteristic
751C22×C89C22×#4111yescharacteristic
752C22×C89C22×#4111yescharacteristic
753C22×C89C2×H(5,𝔽2)11yescharacteristic
754C22×C89C2×H(5,𝔽2)11yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89#58511yescharacteristic
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—22no—
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
764C2×D89—22no—
765C2×D89—22no—
766C2×D89—416no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—88no—
779C2×D89#52914yes—
780C4×C89—22no—
781C4×C89—22no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789C4×C89—41no—
790C4×C89—41no—
791C4×C89—41no—
792Dic89—22no—
793Dic89—22no—
794Dic89—22no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800Dic89—41no—
801Dic89—41no—
802Dic89—41no—
803Dic89—41no—
804Dic89—41no—
805#34998—891nomaximal, Sylow
806C2×C89—24no—
807C2×C89—81no—
808C2×C89—81no—
809C2×C89C2×#52911yescharacteristic
810C2×C89C2×#53811yescharacteristic
811C2×C89#345911yescharacteristic
812C2×C89#349011yescharacteristic
813C2×C89#349411yescharacteristic
814C2×C89#351311yescharacteristic
815C2×C89#351911yescharacteristic
816D89—24no—
817D89—42no—
818D89—81no—
819#2854—891no—
820#2853—891no—
821#2852—891no—
822#2850—891no—
823#2653—891no—
824#2649—891no—
825#2648—891no—
826#2648—891no—
827#2518—891no—
828#2518—891no—
829#2510—891no—
830#2510—891no—
831#2505—891no—
832#2488—891no—
833#2480—891no—
834#2472—891no—
835#2467—891no—
836#2459—891no—
837#2444D8911yescharacteristic, complemented
838#2437—891no—
839#2425—891no—
840#2412—891no—
841#2410—891no—
842#2405—891no—
843#2329—891no—
844#2321—891no—
845#2318—891no—
846#2312—891no—
847C4×#120—891no—
848C2×#386—891no—
849C2×C4×C22⋊C4—891no—
850C89#3499811yescharacteristic, complemented, Sylow
851C23×D4—891no—
852C24×C4—891no—
853C2×#126—891no—
854C2×#124—891no—
855C2×#123—891no—
856C2×#123—891no—
857C2×#123—891no—
858C2×C22⋊Q8—891no—
859C2×C22⋊Q8—891no—
860C2×#121—891no—
861C2×#121C2×D8911yescharacteristic
862C2×#120—891no—
863C2×#120—891no—
864C2×C4×D4—891no—
865C2×C4×D4—891no—
866C2×C4×D4C2×D8911yescharacteristic, complemented
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4—891no—
872C22×C42—891no—
873C22×C42—891no—
874#401—891no—
875#400—891no—
876#400—891no—
877#400—891no—
878#400C2×D8911yescharacteristic, complemented
879#399—891no—
880#398—891no—
881#397—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#396—891no—
890#396—891no—
891#396—891no—
892#394—891no—
893#394—891no—
894#394—891no—
895#394—891no—
896#394—891no—
897#394—891no—
898#394—891no—
899#394—891no—
900#394—891no—
901#394C2×D8911yescharacteristic, complemented
902#393—891no—
903#393—891no—
904#392—891no—
905#392—891no—
906#391—891no—
907#391—891no—
908#390—891no—
909#390—891no—
910#390—891no—
911#389—891no—
912#389—891no—
913#389—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#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388C2×D8911yescharacteristic, complemented
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387C2×D8911yescharacteristic, complemented
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386C2×D8911yescharacteristic
962#386C2×D8911yescharacteristic
963#386C2×D8911yescharacteristic, complemented
964#386C2×D8911yescharacteristic, complemented
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#385C2×D8911yescharacteristic, complemented
976#383—891no—
977#383—891no—
978#382—891no—
979#382—891no—
980#381—891no—
981#381C2×D8911yescharacteristic, complemented
982#380—891no—
983#380—891no—
984#380—891no—
985#380—891no—
986#380—891no—
987#379—891no—
988#379—891no—
989#379—891no—
990#379—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C2×#95—891no—
1003C2×#95—891no—
1004C2×#95—891no—
1005C2×#95C2×D8911yescharacteristic, complemented
1006C25—891no—
1007C25—891no—
1008C22×Q8—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—3562no—
1016C22×D4—3562no—
1017C22×D4—1784no—
1018C22×D4C22×D8911yescharacteristic
1019C22×D4C22×D8911yescharacteristic
1020C22×D4C22×D8911yescharacteristic
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—891no—
1030C23×C4—891no—
1031C23×C4—3562no—
1032C23×C4—3562no—
1033C23×C4—1784no—
1034C23×C4C22×D8911yescharacteristic
1035C23×C4C22×D8911yescharacteristic
1036C23×C4C22×D8911yescharacteristic
1037C23×C4C22×D8911yescharacteristic
1038#126—3562no—
1039#124—3562no—
1040#123—3562no—
1041#123—3562no—
1042#123—3562no—
1043C22⋊Q8—3562no—
1044C22⋊Q8—1784no—
1045#121—42no—
1046#121—3562no—
1047#120—1784no—
1048#120—1784no—
1049C4×D4—42no—
1050C4×D4—3562no—
1051C4×D4—1784no—
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⋊C4C22×D8911yescharacteristic
1071C2×C4⋊C4C22×D8911yescharacteristic
1072C2×C4⋊C4C22×D8911yescharacteristic
1073C2×C4⋊C4C22×D8911yescharacteristic
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—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—3562no—
1116C2×C22⋊C4—3562no—
1117C2×C22⋊C4—1784no—
1118C2×C22⋊C4—1784no—
1119C2×C22⋊C4—1784no—
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
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×C42—891no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—3562no—
1142C2×C42—3562no—
1143C2×C42C22×D8911yescharacteristic
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#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183#95C22×D8911yescharacteristic
1184#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
1188C24—891no—
1189C24—894no—
1190C24—891no—
1191C24—891no—
1192C24—3561no—
1193C24—3561no—
1194C24—3561no—
1195C24—3561no—
1196C24—3561no—
1197C24—3561no—
1198C24—1782no—
1199C24—1782no—
1200C24—1782no—
1201C24—1782no—
1202C24—1782no—
1203C24—1782no—
1204C24—1782no—
1205C24C23×D8911yescharacteristic
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—3561no—
1209C2×Q8—3561no—
1210C2×Q8—1782no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—35616no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—3561no—
1226C2×D4—3561no—
1227C2×D4—3561no—
1228C2×D4—3561no—
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—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—894no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—891no—
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—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—35616no—
1278C22×C4—3561no—
1279C22×C4—1782no—
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×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
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
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
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—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
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—41no—
1339C22⋊C4—41no—
1340C22⋊C4—894no—
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—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
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—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C42—41no—
1382C42—3561no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—1782no—
1390C42—1782no—
1391C42—1782no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—892no—
1411C23—892no—
1412C23—892no—
1413C23—892no—
1414C23—3564no—
1415C23—3564no—
1416C23—3564no—
1417C23—3564no—
1418C23—3564no—
1419C23—3564no—
1420C23—3564no—
1421C23—3564no—
1422C23—1788no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1788no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—7122no—
1442C23—7122no—
1443C23—7122no—
1444C23—7122no—
1445C23#41×D8912yes—
1446C23#1566805712yes—
1447C23#1566805812yes—
1448C23C24×D8911yescharacteristic
1449Q8—7122no—
1450D4—44no—
1451D4—44no—
1452D4—82no—
1453D4—3564no—
1454D4—3564no—
1455D4—3564no—
1456D4—3564no—
1457D4—3564no—
1458D4—7122no—
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—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—892no—
1498C2×C4—892no—
1499C2×C4—892no—
1500C2×C4—3564no—
1501C2×C4—3564no—
1502C2×C4—3564no—
1503C2×C4—3564no—
1504C2×C4—3564no—
1505C2×C4—3564no—
1506C2×C4—3564no—
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—1781no—
1537C2×C4—1788no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—7122no—
1545C2×C4—7122no—
1546C2×C4#41×D8912yes—
1547C2×C4#41×D8912yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—894no—
1569C22—35616no—
1570C22—3561no—
1571C22—3561no—
1572C22—3561no—
1573C22—3561no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22—1782no—
1582C22—1782no—
1583C22—1782no—
1584C22—1782no—
1585C22—1782no—
1586C22—1782no—
1587C22—1782no—
1588C22—1782no—
1589C22—1782no—
1590C22—7128no—
1591C22#1915218414yes—
1592C22C2×#41×D8911yescharacteristic
1593C22C2×#41×D8911yescharacteristic
1594C22C2×#41×D8911yescharacteristic
1595C22H(5,𝔽2)×D8911yescharacteristic
1596C22C2×#1566805711yescharacteristic
1597C22C2×#1566805811yescharacteristic
1598C22#1915243311yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—3561no—
1612C4—3561no—
1613C4—3561no—
1614C4—3561no—
1615C4—3561no—
1616C4—3561no—
1617C4—3561no—
1618C4—3561no—
1619C4—3561no—
1620C4—3561no—
1621C4—1782no—
1622C4—1782no—
1623C4—1782no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—3562no—
1628C2—1784no—
1629C2—7121no—
1630C2#529×D8911yescharacteristic
1631C2C2×#1915218411yescharacteristic
1632C2#2603366311yescharacteristic
1633C2#2603393411yescharacteristic
1634C2#2603398311yescharacteristic
1635C2#2603418511yescharacteristic
1636C2#2603428011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2444C2
prime radical#26023623C2
hypercenter#2444D89
hypocenterC89#34998
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #26028578C2semidirect
2. #26028577C2semidirect
3. #26028565C2semidirect
4. #26028549C2semidirect
5. #26026322C2semidirect
6. #26026254C2semidirect
7. #26026247C2semidirect
8. #26026237C2semidirect
9. #26024916C2semidirect
10. #26024907C2semidirect
11. #26024812C2semidirect
12. #26024805C2semidirect
13. #26024748C2semidirect
14. #26024580C2semidirect
15. #26024491C2semidirect
16. #26024379C2semidirect
17. #26024308C2semidirect
18. #26024186C2semidirect
19. #26023916C2semidirect
20. #26023797C2semidirect
21. #26023651C2semidirect
23. #26023578C2semidirect
24. #26022981C2semidirect
25. #26022908C2semidirect
26. #26022881C2semidirect
27. #26022846C2semidirect
28. C4×#15667980C2semidirect
29. #386×D89C2semidirect
30. C2×#19151445C2semidirect
31. C89×#2444C2semidirect
34. C2×#15668005C22semidirect
35. C2×#15667998C22semidirect
38. C2×#15667993C22semidirect
40. C2×#15667989C22semidirect
45. C2×C4×C22⋊D89C22semidirect
51. C22×C4×Dic89C22semidirect
52. C22×C4×Dic89C22semidirect
53. C89⋊#401C22semidirect
54. #19151540C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
57. #19151535C22semidirect
58. #19151528C22semidirect
59. #19151527C22semidirect
60. #19151527C22semidirect
61. #19151527C22semidirect
62. #19151526C22semidirect
63. #19151525C22semidirect
64. #19151523C22semidirect
65. #19151520C22semidirect
66. #19151520C22semidirect
67. #19151520C22semidirect
73. #19151514C22semidirect
75. #19151513C22semidirect
76. #19151513C22semidirect
77. #19151511C22semidirect
78. #19151510C22semidirect
81. #19151502C22semidirect
82. #19151502C22semidirect
83. #19151501C22semidirect
84. #19151501C22semidirect
85. #19151498C22semidirect
86. #19151496C22semidirect
87. #19151494C22semidirect
88. #19151494C22semidirect
89. #19151492C22semidirect
90. #19151491C22semidirect
91. #19151491C22semidirect
92. #19151491C22semidirect
93. #19151490C22semidirect
94. #19151490C22semidirect
95. #19151489C22semidirect
96. #19151488C22semidirect
97. #19151488C22semidirect
98. #19151487C22semidirect
99. #19151487C22semidirect
100. #19151487C22semidirect
101. #19151487C22semidirect
102. #19151486C22semidirect
103. #19151486C22semidirect
104. #19151486C22semidirect
105. #19151486C22semidirect
106. #19151486C22semidirect
107. #19151486C22semidirect
108. #19151486C22semidirect
109. #19151485C22semidirect
110. #19151485C22semidirect
111. #19151485C22semidirect
112. #19151484C22semidirect
113. #19151484C22semidirect
114. #19151483C22semidirect
115. #19151481C22semidirect
116. #19151480C22semidirect
119. #19151478C22semidirect
123. #19151477C22semidirect
133. #19151474C22semidirect
134. #19151473C22semidirect
139. #19151471C22semidirect
140. #19151470C22semidirect
143. #19151469C22semidirect
144. #19151465C22semidirect
145. #19151465C22semidirect
146. #19151462C22semidirect
147. #19151462C22semidirect
148. #19151459C22semidirect
149. #19151458C22semidirect
150. #19151458C22semidirect
159. C4×#13083551C22semidirect
160. C4×C22⋊Dic89C22semidirect
165. #19151445C22semidirect
166. #19151445C22semidirect
167. #19151445C22semidirect
168. #19151445C22semidirect
169. C2×#15667919C22semidirect
173. C2×C4×D4×C89C22semidirect
174. #400×C89C22semidirect
175. #397×C89C22semidirect
176. #397×C89C22semidirect
177. #394×C89C22semidirect
178. #388×C89C22semidirect
179. #387×C89C22semidirect
182. #386×C89C22semidirect
183. #386×C89C22semidirect
184. #385×C89C22semidirect
185. #381×C89C22semidirect
186. C2×#95×C89C22semidirect
837. #2444D89semidirect
850. C89#34998semidirect
866. C2×C4×D4C2×D89semidirect
878. #400C2×D89semidirect
887. #397C2×D89semidirect
888. #397C2×D89semidirect
901. #394C2×D89semidirect
934. #388C2×D89semidirect
943. #387C2×D89semidirect
963. #386C2×D89semidirect
964. #386C2×D89semidirect
975. #385C2×D89semidirect
981. #381C2×D89semidirect
1005. C2×#95C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285782
#260285772
#260285652
#260285492
#260263222
#260262542
#260262472
#260262372
#260249162
#260249072
#260248122
#260248052
#260247482
#260245802
#260244912
#260243792
#260243082
#260241862
#260239162
#260237972
#260236512
#260236232
#260235782
#260229812
#260229082
#260228812
#260228462
C4×#156679802
#386×D892
C2×#191514452
C89×#24442
#3499889