Finite Group Databasebeta

← #36763870

Subgroups — #36763870

Order 22784.

2048 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028581C211yesmaximal, characteristic, complemented
2#26028578C211yesmaximal, characteristic, complemented
3#26028131C211yesmaximal, characteristic, complemented
4#26028121C211yesmaximal, characteristic, complemented
5#26027001C211yesmaximal, characteristic, complemented
6#26027000C211yesmaximal, characteristic, complemented
7#26026928C211yesmaximal, characteristic, complemented
8#26026928C211yesmaximal, characteristic, complemented
9#26026924C211yesmaximal, characteristic, complemented
10#26026921C211yesmaximal, characteristic, complemented
11#26026763C211yesmaximal, characteristic, complemented
12#26026760C211yesmaximal, characteristic, complemented
13#26026581C211yesmaximal, characteristic, complemented
14#26026577C211yesmaximal, characteristic, complemented
15#26026577C211yesmaximal, characteristic, complemented
16#26026520C211yesmaximal, characteristic, complemented
17#26026514C211yesmaximal, characteristic, complemented
18#26026247C211yesmaximal, characteristic, complemented
19#26026237C211yesmaximal, characteristic, complemented
20#26025918C211yesmaximal, characteristic, complemented
21#26025387C211yesmaximal, characteristic, complemented
22#26025382C211yesmaximal, characteristic, complemented
23#26025180C211yesmaximal, characteristic, complemented
24#26024369C211yesmaximal, characteristic, complemented
25#26024364C211yesmaximal, characteristic, complemented
26#26023866C211yesmaximal, characteristic, complemented
27#26023568C211yesmaximal, characteristic, complemented
28#26023011C211yesmaximal, characteristic, complemented
29#26022848C211yesmaximal, characteristic, complemented
30#26022737C211yesmaximal, characteristic, complemented
31C89×#2678C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C2×#15668008C2211yescharacteristic, complemented
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15668006C2211yescharacteristic, complemented
36C2×#15667998C2211yescharacteristic, complemented
37C2×#15667996C2211yescharacteristic
38C2×#15667995C2211yescharacteristic, complemented
39C2×#15667994C2211yescharacteristic
40C2×#15667993C2211yescharacteristic
41C2×#15667993C2211yescharacteristic
42C2×#15667993C2211yescharacteristic
43C2×#15667993C2211yescharacteristic, complemented
44C2×#15667985C2211yescharacteristic
45C2×#15667984C2211yescharacteristic
46C2×#15667984C2211yescharacteristic
47C2×#15667984C2211yescharacteristic
48C2×#15667981C2211yescharacteristic
49C2×#15667981C2211yescharacteristic
50C2×#15667968C2211yescharacteristic, complemented
51C22×C22⋊Dic89C2211yescharacteristic
52C22×C4×Dic89C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151538C2211yescharacteristic, complemented
57#19151534C2211yescharacteristic
58#19151534C2211yescharacteristic
59#19151534C2211yescharacteristic, complemented
60#19151533C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic
63#19151526C2211yescharacteristic
64#19151526C2211yescharacteristic
65#19151523C2211yescharacteristic, complemented
66#19151521C2211yescharacteristic
67#19151521C2211yescharacteristic
68#19151521C2211yescharacteristic
69#19151521C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151520C2211yescharacteristic, complemented
72#19151520C2211yescharacteristic, complemented
73#19151516C2211yescharacteristic, complemented
74#19151515C2211yescharacteristic, complemented
75#19151514C2211yescharacteristic
76#19151514C2211yescharacteristic
77#19151514C2211yescharacteristic
78#19151513C2211yescharacteristic
79#19151513C2211yescharacteristic
80#19151513C2211yescharacteristic
81#19151513C2211yescharacteristic, complemented
82#19151513C2211yescharacteristic, complemented
83#19151510C2211yescharacteristic
84#19151510C2211yescharacteristic
85#19151507C2211yescharacteristic
86#19151507C2211yescharacteristic
87#19151506C2211yescharacteristic
88#19151506C2211yescharacteristic
89#19151506C2211yescharacteristic
90#19151506C2211yescharacteristic
91#19151506C2211yescharacteristic
92#19151506C2211yescharacteristic
93#19151506C2211yescharacteristic
94#19151506C2211yescharacteristic
95#19151502C2211yescharacteristic, complemented
96#19151502C2211yescharacteristic, complemented
97#19151502C2211yescharacteristic, complemented
98#19151501C2211yescharacteristic
99#19151501C2211yescharacteristic
100#19151501C2211yescharacteristic
101#19151501C2211yescharacteristic
102#19151498C2211yescharacteristic
103#19151498C2211yescharacteristic
104#19151498C2211yescharacteristic
105#19151498C2211yescharacteristic
106#19151498C2211yescharacteristic
107#19151498C2211yescharacteristic
108#19151498C2211yescharacteristic, complemented
109#19151497C2211yescharacteristic, complemented
110#19151494C2211yescharacteristic, complemented
111#19151494C2211yescharacteristic, complemented
112#19151493C2211yescharacteristic, complemented
113#19151493C2211yescharacteristic, complemented
114#19151493C2211yescharacteristic, complemented
115#19151492C2211yescharacteristic
116#19151492C2211yescharacteristic
117#19151492C2211yescharacteristic
118#19151492C2211yescharacteristic
119#19151492C2211yescharacteristic
120#19151492C2211yescharacteristic
121#19151488C2211yescharacteristic, complemented
122#19151488C2211yescharacteristic, complemented
123#19151486C2211yescharacteristic
124#19151486C2211yescharacteristic
125#19151486C2211yescharacteristic
126#19151486C2211yescharacteristic
127#19151486C2211yescharacteristic
128#19151486C2211yescharacteristic, complemented
129#19151486C2211yescharacteristic, complemented
130#19151485C2211yescharacteristic, complemented
131#19151484C2211yescharacteristic, complemented
132#19151483C2211yescharacteristic, complemented
133#19151482C2211yescharacteristic, complemented
134#19151482C2211yescharacteristic, complemented
135#19151480C2211yescharacteristic, complemented
136#19151479C2211yescharacteristic, complemented
137#19151479C2211yescharacteristic, complemented
138#19151478C2211yescharacteristic
139#19151478C2211yescharacteristic
140#19151478C2211yescharacteristic
141#19151478C2211yescharacteristic
142#19151478C2211yescharacteristic
143#19151478C2211yescharacteristic, complemented
144#19151478C2211yescharacteristic, complemented
145#19151477C2211yescharacteristic, complemented
146#19151476C2211yescharacteristic, complemented
147#19151475C2211yescharacteristic
148#19151475C2211yescharacteristic, complemented
149#19151475C2211yescharacteristic, complemented
150#19151475C2211yescharacteristic, complemented
151#19151474C2211yescharacteristic
152#19151474C2211yescharacteristic
153#19151474C2211yescharacteristic
154#19151474C2211yescharacteristic, complemented
155#19151474C2211yescharacteristic, complemented
156#19151474C2211yescharacteristic, complemented
157#19151472C2211yescharacteristic, complemented
158#19151470C2211yescharacteristic, complemented
159#19151459C2211yescharacteristic
160#19151458C2211yescharacteristic, complemented
161#19151456C2211yescharacteristic
162#19151456C2211yescharacteristic
163#19151456C2211yescharacteristic, complemented
164#19151454C2211yescharacteristic
165C22⋊C4×Dic89C2211yescharacteristic
166C22⋊C4×Dic89C2211yescharacteristic
167C22⋊C4×Dic89C2211yescharacteristic
168C22⋊C4×Dic89C2211yescharacteristic, complemented
169C4×#13083551C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171#19151445C2211yescharacteristic, complemented
172C2×#123×C89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×#120×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176#397×C89C2211yescharacteristic
177#396×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic
182#390×C89C2211yescharacteristic
183#390×C89C2211yescharacteristic
184#388×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C2×#13083573—24no—
188C2×#13083573—42no—
189C2×#13083573—42no—
190C22×Dic178C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209#15668008—42no—
210#15668007—42no—
211#15668006—42no—
212#15667998—42no—
213#15667996—42no—
214#15667995—42no—
215#15667994—42no—
216#15667993—42no—
217#15667993—42no—
218#15667993—42no—
219#15667993—42no—
220#15667985—42no—
221#15667984—24no—
222#15667984—42no—
223#15667984—42no—
224#15667981—42no—
225#15667981—42no—
226#15667968—42no—
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×C22⋊Dic89—24no—
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
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×C4×Dic89—42no—
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
330C25×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339#123×C89—42no—
340#121×C89—42no—
341#120×C89—42no—
342#120×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C42×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C23×D89C2411yescharacteristic
371#13083573—416no—
372C2×Dic178—22no—
373C2×Dic178—22no—
374C2×Dic178—41no—
375C2×D356—41no—
376C2×D356—41no—
377C2×D356—41no—
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C22×Dic89—22no—
409C22×Dic89—22no—
410C22×Dic89—22no—
411C22×Dic89—22no—
412C22×Dic89—22no—
413C22×Dic89—22no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89—41no—
419C22×Dic89—41no—
420C22×Dic89—41no—
421C22×Dic89—41no—
422C22×Dic89#4114yes—
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C2×C4×D89—22no—
438C2×C4×D89—41no—
439C2×C4×D89—41no—
440C2×C4×D89—41no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C4⋊Dic89—22no—
444C4⋊Dic89—41no—
445C4⋊Dic89—41no—
446C4⋊Dic89—41no—
447C4⋊Dic89—41no—
448#13083553—22no—
449#13083553—22no—
450#13083553—22no—
451#13083553—22no—
452#13083553—22no—
453#13083553—22no—
454#13083553—22no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462#13083553—41no—
463#13083553—41no—
464C22⋊Dic89—22no—
465C22⋊Dic89—22no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—22no—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474C22⋊Dic89—22no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
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—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489#13083551—22no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—41no—
495#13083551—41no—
496#13083551—41no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C4×Dic89—41no—
511C4×Dic89—41no—
512C4×Dic89—41no—
513C4×Dic89—41no—
514C24×C89—22no—
515C24×C89—41no—
516C24×C89—41no—
517C24×C89—41no—
518C24×C89—41no—
519C24×C89—41no—
520C24×C89—41no—
521C24×C89C2411yescharacteristic
522C24×C89C2411yescharacteristic
523C24×C89C2411yescharacteristic
524C24×C89C2411yescharacteristic
525C24×C89C2411yescharacteristic
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—22no—
532C2×D4×C89—22no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C2×D4×C89—41no—
538C2×D4×C89—41no—
539C2×D4×C89—41no—
540C2×D4×C89—41no—
541C2×D4×C89—41no—
542C2×D4×C89—41no—
543C2×D4×C89—41no—
544C2×D4×C89—41no—
545C2×D4×C89—41no—
546C2×D4×C89—41no—
547C22×C4×C89—22no—
548C22×C4×C89—22no—
549C22×C4×C89—41no—
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C4⋊C4×C89—22no—
561C4⋊C4×C89—41no—
562C4⋊C4×C89—41no—
563C4⋊C4×C89—41no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89—41no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89—41no—
581C42×C89—41no—
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×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—44no—
616C23×C89—82no—
617C23×C89—82no—
618C23×C89—82no—
619C23×C89—82no—
620C23×C89—82no—
621C23×C89—82no—
622C23×C89C2×#4112yes—
623C23×C89H(5,𝔽2)12yes—
624C23×C89C2511yescharacteristic
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—21no—
632C22×D89—21no—
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—21no—
636C22×D89—21no—
637C22×D89—21no—
638C22×D89—21no—
639D4×C89—44no—
640D4×C89—82no—
641D4×C89—82no—
642D4×C89—82no—
643D4×C89—82no—
644D4×C89—82no—
645D4×C89—82no—
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—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—44no—
676C2×C4×C89H(5,𝔽2)12yes—
677C22⋊D89—44no—
678C22⋊D89—44no—
679C22⋊D89—82no—
680C22⋊D89—82no—
681C22⋊D89—82no—
682C22⋊D89—82no—
683C22⋊D89—82no—
684C22⋊D89—82no—
685C22⋊D89—82no—
686C22⋊D89—82no—
687C2×Dic89—28no—
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—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—44no—
727C2×Dic89—44no—
728C2×Dic89—82no—
729C2×Dic89—82no—
730C2×Dic89C2×#4112yes—
731C2×Dic89C2×#4112yes—
732C2×Dic89H(5,𝔽2)12yes—
733C2×Dic89H(5,𝔽2)12yes—
734D356—82no—
735C4×D89—44no—
736C4×D89—82no—
737Dic178—44no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—41no—
772C22×C89—41no—
773C22×C89—88no—
774C22×C89C22×#4111yescharacteristic
775C22×C89C2×H(5,𝔽2)11yescharacteristic
776C22×C89C2×H(5,𝔽2)11yescharacteristic
777C22×C89C2×H(5,𝔽2)11yescharacteristic
778C22×C89C2×H(5,𝔽2)11yescharacteristic
779C22×C89#58511yescharacteristic
780C22×C89#58511yescharacteristic
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—41no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C4×C89—22no—
796C4×C89—41no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805Dic89—22no—
806Dic89—22no—
807Dic89—22no—
808Dic89—22no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819#36812—891nomaximal, Sylow
820C2×C89—42no—
821C2×C89—42no—
822C2×C89—81no—
823C2×C89—81no—
824C2×C89—81no—
825C2×C89#345511yescharacteristic
826C2×C89#349011yescharacteristic
827C2×C89#350811yescharacteristic
828C2×C89#353411yescharacteristic
829C2×C89#353411yescharacteristic
830C2×C89#354611yescharacteristic
831C2×C89#354611yescharacteristic
832D89—81no—
833D89—81no—
834#2854—891no—
835#2854—891no—
836#2798—891no—
837#2798—891no—
838#2710—891no—
839#2710—891no—
840#2705—891no—
841#2705—891no—
842#2705—891no—
843#2705—891no—
844#2693—891no—
845#2693—891no—
846#2678—891no—
847#2678—891no—
848#2678—891no—
849#2678D8911yescharacteristic, complemented
850#2673—891no—
851#2673—891no—
852#2648—891no—
853#2648—891no—
854#2608—891no—
855#2559—891no—
856#2559—891no—
857#2539—891no—
858#2471—891no—
859#2471—891no—
860#2431—891no—
861#2404—891no—
862#2333—891no—
863#2312—891no—
864#2297—891no—
865C89#3681211yescharacteristic, complemented, Sylow
866C22×#41—891no—
867C2×#127—891no—
868C2×#126—891no—
869C2×#126—891no—
870C2×#124—891no—
871C2×#123—891no—
872C2×#123—891no—
873C2×#123—891no—
874C2×#123—891no—
875C2×#123—891no—
876C2×#123—891no—
877C2×#123—891no—
878C2×#123C2×D8911yescharacteristic
879C2×#121—891no—
880C2×#121—891no—
881C2×#121—891no—
882C2×#121—891no—
883C2×#121C2×D8911yescharacteristic
884C2×#120—891no—
885C2×#120—891no—
886C2×#120C2×D8911yescharacteristic
887C2×#120C2×D8911yescharacteristic
888C2×#117—891no—
889C22×C22⋊C4—891no—
890C22×C42—891no—
891#400—891no—
892#400—891no—
893#400—891no—
894#400—891no—
895#399—891no—
896#399—891no—
897#399—891no—
898#399—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397—891no—
903#397—891no—
904#397C2×D8911yescharacteristic
905#396—891no—
906#396—891no—
907#396—891no—
908#396—891no—
909#396—891no—
910#396—891no—
911#396—891no—
912#396C2×D8911yescharacteristic
913#394—891no—
914#394—891no—
915#394—891no—
916#394—891no—
917#394—891no—
918#394—891no—
919#394—891no—
920#394—891no—
921#394—891no—
922#394—891no—
923#394C2×D8911yescharacteristic
924#394C2×D8911yescharacteristic
925#393—891no—
926#393—891no—
927#392—891no—
928#392—891no—
929#392—891no—
930#392—891no—
931#392—891no—
932#392—891no—
933#392—891no—
934#392—891no—
935#392—891no—
936#392—891no—
937#392C2×D8911yescharacteristic
938#392C2×D8911yescharacteristic
939#391—891no—
940#391—891no—
941#391—891no—
942#390—891no—
943#390—891no—
944#390—891no—
945#390—891no—
946#390—891no—
947#390—891no—
948#390—891no—
949#390—891no—
950#390—891no—
951#390—891no—
952#390—891no—
953#390C2×D8911yescharacteristic
954#390C2×D8911yescharacteristic
955#389—891no—
956#389—891no—
957#389—891no—
958#389—891no—
959#389—891no—
960#389—891no—
961#388—891no—
962#388—891no—
963#388—891no—
964#388—891no—
965#388—891no—
966#388—891no—
967#388—891no—
968#388—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388—891no—
974#388—891no—
975#388—891no—
976#388C2×D8911yescharacteristic
977#387—891no—
978#387—891no—
979#387—891no—
980#387—891no—
981#387—891no—
982#387—891no—
983#387—891no—
984#387—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386—891no—
993#386—891no—
994#386—891no—
995#386—891no—
996#386—891no—
997#386—891no—
998#386—891no—
999#386—891no—
1000#386—891no—
1001#386—891no—
1002#386—891no—
1003#386—891no—
1004#386C2×D8911yescharacteristic
1005#385—891no—
1006#385—891no—
1007#381—891no—
1008#380—891no—
1009#380—891no—
1010#380—891no—
1011#380—891no—
1012#379—891no—
1013#379C2×D8911yescharacteristic
1014C4×C22⋊C4—891no—
1015C4×C22⋊C4—891no—
1016C4×C22⋊C4—891no—
1017C4×C22⋊C4—891no—
1018C4×C22⋊C4—891no—
1019C4×C22⋊C4—891no—
1020C4×C22⋊C4—891no—
1021C25C22×D8911yescharacteristic
1022C2×#41—3562no—
1023C2×#41—3562no—
1024C2×#41—1784no—
1025C22×Q8—891no—
1026C22×D4—891no—
1027C22×D4—891no—
1028C22×D4—891no—
1029C22×D4—891no—
1030C22×D4—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4C22×D8911yescharacteristic
1038C22×D4C22×D8911yescharacteristic
1039C22×D4C22×D8911yescharacteristic
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C22×D4C22×D8911yescharacteristic
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4C22×D8911yescharacteristic
1052#127—3562no—
1053#126—3562no—
1054#126—3562no—
1055#124—3562no—
1056#123—42no—
1057#123—3562no—
1058#123—3562no—
1059#123—3562no—
1060#123—3562no—
1061#123—3562no—
1062#123—3562no—
1063#123—3562no—
1064#121—42no—
1065#121—3562no—
1066#121—3562no—
1067#121—3562no—
1068#121—1784no—
1069#120—42no—
1070#120—42no—
1071#120—3562no—
1072#120—3562no—
1073#117—3562no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C4⋊C4C22×D8911yescharacteristic
1098C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—1784no—
1141C2×C22⋊C4C22×D8911yescharacteristic
1142C2×C22⋊C4C22×D8911yescharacteristic
1143C2×C22⋊C4C22×D8911yescharacteristic
1144C2×C22⋊C4C22×D8911yescharacteristic
1145C2×C22⋊C4C22×D8911yescharacteristic
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C22⋊C4C22×D8911yescharacteristic
1149C2×C22⋊C4C22×D8911yescharacteristic
1150C2×C22⋊C4C22×D8911yescharacteristic
1151C2×C22⋊C4C22×D8911yescharacteristic
1152C2×C22⋊C4C22×D8911yescharacteristic
1153C2×C22⋊C4C22×D8911yescharacteristic
1154C2×C22⋊C4C22×D8911yescharacteristic
1155C2×C22⋊C4C22×D8911yescharacteristic
1156C2×C22⋊C4C22×D8911yescharacteristic
1157C2×C22⋊C4C22×D8911yescharacteristic
1158C2×C42—891no—
1159C2×C42—891no—
1160C2×C42—891no—
1161C2×C42—891no—
1162C2×C42—891no—
1163C2×C42—891no—
1164C2×C42—891no—
1165C2×C42—891no—
1166C2×C42—891no—
1167C2×C42—3562no—
1168C2×C42C22×D8911yescharacteristic
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—891no—
1211C24—891no—
1212C24C23×D8911yescharacteristic
1213C24C23×D8911yescharacteristic
1214C24C23×D8911yescharacteristic
1215C24C23×D8911yescharacteristic
1216C24C23×D8911yescharacteristic
1217#41—35616no—
1218C2×Q8—3561no—
1219C2×Q8—1782no—
1220C2×Q8—1782no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—3561no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—3561no—
1259C2×D4—3561no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—3561no—
1265C2×D4—3561no—
1266C2×D4—3561no—
1267C2×D4—1782no—
1268C2×D4—1782no—
1269C2×D4—1782no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—894no—
1279C22×C4—891no—
1280C22×C4—891no—
1281C22×C4—891no—
1282C22×C4—891no—
1283C22×C4—891no—
1284C22×C4—891no—
1285C22×C4—891no—
1286C22×C4—891no—
1287C22×C4—891no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—3561no—
1294C22×C4—3561no—
1295C22×C4—3561no—
1296C22×C4—3561no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—1782no—
1307C22×C4—1782no—
1308C22×C4—1782no—
1309C22×C4—1782no—
1310C22×C4—1782no—
1311C22×C4—1782no—
1312C22×C4—1782no—
1313C22×C4C23×D8911yescharacteristic
1314C22×C4C23×D8911yescharacteristic
1315C22×C4C23×D8911yescharacteristic
1316C22×C4C23×D8911yescharacteristic
1317C22×C4C23×D8911yescharacteristic
1318C22×C4C23×D8911yescharacteristic
1319C22×C4C23×D8911yescharacteristic
1320C22×C4C23×D8911yescharacteristic
1321C22×C4C23×D8911yescharacteristic
1322C22×C4C23×D8911yescharacteristic
1323C4⋊C4—22no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—3561no—
1328C4⋊C4—3561no—
1329C4⋊C4—3561no—
1330C4⋊C4—3561no—
1331C4⋊C4—3561no—
1332C4⋊C4—3561no—
1333C4⋊C4—3561no—
1334C4⋊C4—3561no—
1335C4⋊C4—3561no—
1336C4⋊C4—3561no—
1337C4⋊C4—3561no—
1338C4⋊C4—3561no—
1339C4⋊C4—3561no—
1340C4⋊C4—1782no—
1341C4⋊C4—1782no—
1342C4⋊C4—1782no—
1343C4⋊C4—1782no—
1344C4⋊C4—1782no—
1345C4⋊C4—1782no—
1346C4⋊C4—1782no—
1347C4⋊C4—1782no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—3561no—
1372C22⋊C4—3561no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—1782no—
1391C22⋊C4—1782no—
1392C22⋊C4—1782no—
1393C22⋊C4—1782no—
1394C22⋊C4—1782no—
1395C22⋊C4—1782no—
1396C22⋊C4—1782no—
1397C22⋊C4—1782no—
1398C22⋊C4—1782no—
1399C22⋊C4—1782no—
1400C22⋊C4—1782no—
1401C22⋊C4—1782no—
1402C22⋊C4—1782no—
1403C22⋊C4—1782no—
1404C22⋊C4—1782no—
1405C22⋊C4—1782no—
1406C42—41no—
1407C42—3561no—
1408C42—3561no—
1409C42—3561no—
1410C42—3561no—
1411C42—3561no—
1412C42—3561no—
1413C42—3561no—
1414C42—3561no—
1415C42—3561no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—44no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—82no—
1456C23—1781no—
1457C23—1781no—
1458C23—1781no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1781no—
1467C23—1781no—
1468C23—1781no—
1469C23—1781no—
1470C23#41×D8912yes—
1471C23#1566805712yes—
1472C23C24×D8911yescharacteristic
1473Q8—3564no—
1474D4—44no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—3564no—
1482D4—3564no—
1483D4—7122no—
1484D4—7122no—
1485D4—7122no—
1486D4—7122no—
1487D4—7122no—
1488D4—7122no—
1489D4—7122no—
1490D4—7122no—
1491D4—7122no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—892no—
1523C2×C4—892no—
1524C2×C4—892no—
1525C2×C4—892no—
1526C2×C4—3564no—
1527C2×C4—3564no—
1528C2×C4—3564no—
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—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1788no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—7122no—
1569C2×C4—7122no—
1570C2×C4—7122no—
1571C2×C4#1566805712yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—88no—
1608C22—3561no—
1609C22—3561no—
1610C22—3561no—
1611C22—3561no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—3561no—
1621C22—3561no—
1622C22C2×#41×D8911yescharacteristic
1623C22H(5,𝔽2)×D8911yescharacteristic
1624C22H(5,𝔽2)×D8911yescharacteristic
1625C22C2×#1566805711yescharacteristic
1626C22C2×#1566805711yescharacteristic
1627C22#1915243311yescharacteristic
1628C22#1915243311yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—3561no—
1640C4—3561no—
1641C4—3561no—
1642C4—3561no—
1643C4—3561no—
1644C4—3561no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—1782no—
1650C4—1782no—
1651C4—1782no—
1652C4—1782no—
1653C2—42no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—7121no—
1659C2—7121no—
1660C2#2603363411yescharacteristic
1661C2#2603393411yescharacteristic
1662C2#2603412011yescharacteristic
1663C2#2603443011yescharacteristic
1664C2#2603443211yescharacteristic
1665C2#2603461511yescharacteristic
1666C2#2603462211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2678C2
hypercenter#2678D89
hypocenterC89#36812
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. #26028581C2semidirect
2. #26028578C2semidirect
3. #26028131C2semidirect
4. #26028121C2semidirect
5. #26027001C2semidirect
6. #26027000C2semidirect
7. #26026928C2semidirect
8. #26026928C2semidirect
9. #26026924C2semidirect
10. #26026921C2semidirect
11. #26026763C2semidirect
12. #26026760C2semidirect
13. #26026581C2semidirect
14. #26026577C2semidirect
15. #26026577C2semidirect
16. #26026520C2semidirect
17. #26026514C2semidirect
18. #26026247C2semidirect
19. #26026237C2semidirect
20. #26025918C2semidirect
21. #26025387C2semidirect
22. #26025382C2semidirect
23. #26025180C2semidirect
24. #26024369C2semidirect
25. #26024364C2semidirect
26. #26023866C2semidirect
27. #26023568C2semidirect
28. #26023011C2semidirect
29. #26022848C2semidirect
30. #26022737C2semidirect
31. C89×#2678C2semidirect
33. C2×#15668008C22semidirect
34. C2×#15668007C22semidirect
35. C2×#15668006C22semidirect
36. C2×#15667998C22semidirect
38. C2×#15667995C22semidirect
43. C2×#15667993C22semidirect
50. C2×#15667968C22semidirect
52. C22×C4×Dic89C22semidirect
53. #19151540C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151538C22semidirect
59. #19151534C22semidirect
60. #19151533C22semidirect
61. #19151527C22semidirect
65. #19151523C22semidirect
69. #19151521C22semidirect
70. #19151521C22semidirect
71. #19151520C22semidirect
72. #19151520C22semidirect
73. #19151516C22semidirect
74. #19151515C22semidirect
81. #19151513C22semidirect
82. #19151513C22semidirect
95. #19151502C22semidirect
96. #19151502C22semidirect
97. #19151502C22semidirect
108. #19151498C22semidirect
109. #19151497C22semidirect
110. #19151494C22semidirect
111. #19151494C22semidirect
112. #19151493C22semidirect
113. #19151493C22semidirect
114. #19151493C22semidirect
121. #19151488C22semidirect
122. #19151488C22semidirect
128. #19151486C22semidirect
129. #19151486C22semidirect
130. #19151485C22semidirect
131. #19151484C22semidirect
132. #19151483C22semidirect
133. #19151482C22semidirect
134. #19151482C22semidirect
135. #19151480C22semidirect
136. #19151479C22semidirect
137. #19151479C22semidirect
143. #19151478C22semidirect
144. #19151478C22semidirect
145. #19151477C22semidirect
146. #19151476C22semidirect
148. #19151475C22semidirect
149. #19151475C22semidirect
150. #19151475C22semidirect
154. #19151474C22semidirect
155. #19151474C22semidirect
156. #19151474C22semidirect
157. #19151472C22semidirect
158. #19151470C22semidirect
160. #19151458C22semidirect
163. #19151456C22semidirect
168. C22⋊C4×Dic89C22semidirect
169. C4×#13083551C22semidirect
170. #19151445C22semidirect
171. #19151445C22semidirect
849. #2678D89semidirect
865. C89#36812semidirect

Maximal subgroups

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

subgroupindex
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C89×#26782
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