Finite Group Databasebeta

← #2837×D89 #36760652

Subgroups — #2837×D89 #36760652

Order 22784.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028473C211yesmaximal, characteristic, complemented
2#26028472C211yesmaximal, characteristic, complemented
3#26028471C211yesmaximal, characteristic, complemented
4#26028470C211yesmaximal, characteristic, complemented
5#26028469C211yesmaximal, characteristic, complemented
6#26028468C211yesmaximal, characteristic, complemented
7#26028467C211yesmaximal, characteristic, complemented
8#26028466C211yesmaximal, characteristic, complemented
9#26028465C211yesmaximal, characteristic, complemented
10#26028464C211yesmaximal, characteristic, complemented
11#26028463C211yesmaximal, characteristic, complemented
12#26028462C211yesmaximal, characteristic, complemented
13#26028461C211yesmaximal, characteristic, complemented
14#26028460C211yesmaximal, characteristic, complemented
15#26028459C211yesmaximal, characteristic, complemented
16#400×D89C211yesmaximal, characteristic, complemented
17#399×D89C211yesmaximal, characteristic, complemented
18#399×D89C211yesmaximal, characteristic, complemented
19#398×D89C211yesmaximal, characteristic, complemented
20#398×D89C211yesmaximal, characteristic, complemented
21#397×D89C211yesmaximal, characteristic, complemented
22#397×D89C211yesmaximal, characteristic, complemented
23#396×D89C211yesmaximal, characteristic, complemented
24#396×D89C211yesmaximal, characteristic, complemented
25#394×D89C211yesmaximal, characteristic
26#394×D89C211yesmaximal, characteristic
27#394×D89C211yesmaximal, characteristic
28#389×D89C211yesmaximal, characteristic, complemented
29#388×D89C211yesmaximal, characteristic, complemented
30#388×D89C211yesmaximal, characteristic, complemented
31C89×#2837C211yesmaximal, characteristic, complemented
32C22×D4×D89C2211yescharacteristic
33C2×C4⋊C4×D89C2211yescharacteristic
34C2×C4⋊C4×D89C2211yescharacteristic
35C2×C4⋊C4×D89C2211yescharacteristic
36C2×C4⋊C4×D89C2211yescharacteristic
37C2×C4⋊C4×D89C2211yescharacteristic
38C2×C4⋊C4×D89C2211yescharacteristic
39C2×C4⋊C4×D89C2211yescharacteristic
40C2×C4⋊C4×D89C2211yescharacteristic
41C2×C4⋊C4×D89C2211yescharacteristic
42C2×C4⋊C4×D89C2211yescharacteristic
43C2×C4⋊C4×D89C2211yescharacteristic
44C2×C22⋊C4×D89C2211yescharacteristic
45C2×C22⋊C4×D89C2211yescharacteristic
46C2×C22⋊C4×D89C2211yescharacteristic
47C2×C22⋊C4×D89C2211yescharacteristic
48C2×C22⋊C4×D89C2211yescharacteristic
49C2×C22⋊C4×D89C2211yescharacteristic
50C2×C22⋊C4×D89C2211yescharacteristic
51C2×C22⋊C4×D89C2211yescharacteristic
52C2×C22⋊C4×D89C2211yescharacteristic
53C2×C22⋊C4×D89C2211yescharacteristic
54C2×C22⋊C4×D89C2211yescharacteristic
55C2×C22⋊C4×D89C2211yescharacteristic
56C2×C42×D89C2211yescharacteristic
57#19151540C2211yescharacteristic, complemented
58#19151540C2211yescharacteristic, complemented
59#19151539C2211yescharacteristic, complemented
60#19151539C2211yescharacteristic, complemented
61#19151538C2211yescharacteristic, complemented
62#19151537C2211yescharacteristic, complemented
63#19151536C2211yescharacteristic, complemented
64#19151535C2211yescharacteristic, complemented
65#19151535C2211yescharacteristic, complemented
66#19151534C2211yescharacteristic, complemented
67#19151534C2211yescharacteristic, complemented
68#19151534C2211yescharacteristic, complemented
69#19151534C2211yescharacteristic, complemented
70#19151534C2211yescharacteristic, complemented
71#19151534C2211yescharacteristic, complemented
72#19151533C2211yescharacteristic, complemented
73#19151533C2211yescharacteristic, complemented
74#19151533C2211yescharacteristic, complemented
75#19151533C2211yescharacteristic, complemented
76#19151533C2211yescharacteristic, complemented
77#19151533C2211yescharacteristic, complemented
78#19151532C2211yescharacteristic, complemented
79#19151532C2211yescharacteristic, complemented
80#19151532C2211yescharacteristic, complemented
81#19151532C2211yescharacteristic, complemented
82#19151531C2211yescharacteristic, complemented
83#19151531C2211yescharacteristic, complemented
84#19151531C2211yescharacteristic, complemented
85#19151531C2211yescharacteristic, complemented
86#19151530C2211yescharacteristic, complemented
87#19151530C2211yescharacteristic, complemented
88#19151529C2211yescharacteristic, complemented
89#19151529C2211yescharacteristic, complemented
90#19151528C2211yescharacteristic, complemented
91#19151528C2211yescharacteristic, complemented
92#19151527C2211yescharacteristic, complemented
93#19151527C2211yescharacteristic, complemented
94#19151527C2211yescharacteristic, complemented
95#19151527C2211yescharacteristic, complemented
96#19151526C2211yescharacteristic, complemented
97#19151526C2211yescharacteristic, complemented
98#19151526C2211yescharacteristic, complemented
99#19151526C2211yescharacteristic, complemented
100#19151525C2211yescharacteristic, complemented
101#19151525C2211yescharacteristic, complemented
102#19151524C2211yescharacteristic, complemented
103#19151524C2211yescharacteristic, complemented
104#19151523C2211yescharacteristic, complemented
105#19151523C2211yescharacteristic, complemented
106#19151522C2211yescharacteristic, complemented
107#19151522C2211yescharacteristic, complemented
108#19151521C2211yescharacteristic, complemented
109#19151521C2211yescharacteristic, complemented
110#19151521C2211yescharacteristic, complemented
111#19151521C2211yescharacteristic, complemented
112#19151521C2211yescharacteristic, complemented
113#19151521C2211yescharacteristic, complemented
114#19151520C2211yescharacteristic, complemented
115#19151520C2211yescharacteristic, complemented
116#19151520C2211yescharacteristic, complemented
117#19151520C2211yescharacteristic, complemented
118#19151520C2211yescharacteristic, complemented
119#19151520C2211yescharacteristic, complemented
120#19151516C2211yescharacteristic
121#19151516C2211yescharacteristic
122#19151516C2211yescharacteristic
123#19151515C2211yescharacteristic
124#19151515C2211yescharacteristic
125#19151515C2211yescharacteristic
126#19151514C2211yescharacteristic
127#19151514C2211yescharacteristic
128#19151514C2211yescharacteristic
129#19151514C2211yescharacteristic
130#19151514C2211yescharacteristic
131#19151514C2211yescharacteristic
132#19151513C2211yescharacteristic
133#19151513C2211yescharacteristic
134#19151513C2211yescharacteristic
135#19151513C2211yescharacteristic
136#19151513C2211yescharacteristic
137#19151513C2211yescharacteristic
138#19151512C2211yescharacteristic
139#19151512C2211yescharacteristic
140#19151512C2211yescharacteristic
141#19151497C2211yescharacteristic, complemented
142#19151496C2211yescharacteristic, complemented
143#19151495C2211yescharacteristic, complemented
144#19151495C2211yescharacteristic, complemented
145#19151494C2211yescharacteristic, complemented
146#19151493C2211yescharacteristic, complemented
147#19151493C2211yescharacteristic, complemented
148#19151492C2211yescharacteristic, complemented
149#19151492C2211yescharacteristic, complemented
150#19151491C2211yescharacteristic, complemented
151#19151491C2211yescharacteristic, complemented
152#19151490C2211yescharacteristic, complemented
153#19151490C2211yescharacteristic, complemented
154#19151489C2211yescharacteristic, complemented
155#19151489C2211yescharacteristic, complemented
156#19151488C2211yescharacteristic, complemented
157#19151488C2211yescharacteristic, complemented
158#19151487C2211yescharacteristic, complemented
159#19151487C2211yescharacteristic, complemented
160#19151486C2211yescharacteristic, complemented
161#19151486C2211yescharacteristic, complemented
162#95×D89C2211yescharacteristic
163#95×D89C2211yescharacteristic
164#95×D89C2211yescharacteristic
165#95×D89C2211yescharacteristic
166#95×D89C2211yescharacteristic
167#95×D89C2211yescharacteristic
168#95×D89C2211yescharacteristic
169#95×D89C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#400×C89C2211yescharacteristic, complemented
173#399×C89C2211yescharacteristic, complemented
174#399×C89C2211yescharacteristic, complemented
175#398×C89C2211yescharacteristic, complemented
176#398×C89C2211yescharacteristic, complemented
177#397×C89C2211yescharacteristic, complemented
178#397×C89C2211yescharacteristic, complemented
179#396×C89C2211yescharacteristic, complemented
180#396×C89C2211yescharacteristic, complemented
181#394×C89C2211yescharacteristic
182#394×C89C2211yescharacteristic
183#394×C89C2211yescharacteristic
184#389×C89C2211yescharacteristic, complemented
185#388×C89C2211yescharacteristic, complemented
186#388×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C2×D4×D89—42no—
193C2×D4×D89—42no—
194C2×D4×D89—42no—
195C22×C4×D89C2311yescharacteristic
196C22×C4×D89C2311yescharacteristic
197C22×C4×D89C2311yescharacteristic
198C22×C4×D89C2311yescharacteristic
199C22×C4×D89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C2×C4⋊Dic89C2311yescharacteristic
209C2×C4⋊Dic89C2311yescharacteristic
210C2×C4⋊Dic89C2311yescharacteristic
211C2×C4⋊Dic89C2311yescharacteristic
212C2×C4⋊Dic89C2311yescharacteristic
213C2×C4⋊Dic89C2311yescharacteristic
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×C4⋊Dic89C2311yescharacteristic
219C2×#13083553C2311yescharacteristic
220C2×#13083553C2311yescharacteristic
221C2×#13083553C2311yescharacteristic
222C2×#13083553C2311yescharacteristic
223C2×#13083553C2311yescharacteristic
224C2×#13083553C2311yescharacteristic
225C2×#13083553C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C4⋊C4×D89—24no—
242C4⋊C4×D89—42no—
243C4⋊C4×D89—42no—
244C4⋊C4×D89—42no—
245C4⋊C4×D89—42no—
246C4⋊C4×D89—42no—
247C4⋊C4×D89—42no—
248C4⋊C4×D89—42no—
249C4⋊C4×D89—42no—
250C4⋊C4×D89—42no—
251C4⋊C4×D89—42no—
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×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C22⋊C4×D89—24no—
289C22⋊C4×D89—24no—
290C22⋊C4×D89—42no—
291C22⋊C4×D89—42no—
292C22⋊C4×D89—42no—
293C22⋊C4×D89—42no—
294C22⋊C4×D89—42no—
295C22⋊C4×D89—42no—
296C22⋊C4×D89—42no—
297C22⋊C4×D89—42no—
298C22⋊C4×D89—42no—
299C22⋊C4×D89—42no—
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C42×D89—42no—
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
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C2×C4⋊C4×C89C2311yescharacteristic
336C2×C4⋊C4×C89C2311yescharacteristic
337C2×C4⋊C4×C89C2311yescharacteristic
338C2×C4⋊C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89C2311yescharacteristic
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×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—22no—
375C23×D89—22no—
376C23×D89—22no—
377C23×D89—22no—
378C23×D89—22no—
379C23×D89—22no—
380C23×D89—22no—
381C23×D89—22no—
382C23×D89—22no—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C2×D356—41no—
387C2×D356—41no—
388C2×D356—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—
395D4×D89—416no—
396C22×Dic89C2411yescharacteristic
397C22×Dic89C2411yescharacteristic
398C22×Dic89C2411yescharacteristic
399C22×Dic89C2411yescharacteristic
400C22×Dic89C2411yescharacteristic
401C22×Dic89C2411yescharacteristic
402C22×Dic89C2411yescharacteristic
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C2×C4×D89—22no—
410C2×C4×D89—22no—
411C2×C4×D89—22no—
412C2×C4×D89—22no—
413C2×C4×D89—22no—
414C2×C4×D89—22no—
415C2×C4×D89—22no—
416C2×C4×D89—22no—
417C2×C4×D89—22no—
418C2×C4×D89—22no—
419C2×C4×D89—22no—
420C2×C4×D89—22no—
421C2×C4×D89—22no—
422C2×C4×D89—22no—
423C2×C4×D89—22no—
424C2×C4×D89—22no—
425C2×C4×D89—22no—
426C2×C4×D89—22no—
427C2×C4×D89—22no—
428C2×C4×D89—22no—
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—22no—
432C2×C4×D89—22no—
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—22no—
446C2×C4×D89—22no—
447C2×C4×D89#4114yes—
448C4⋊Dic89—22no—
449C4⋊Dic89—41no—
450C4⋊Dic89—41no—
451C4⋊Dic89—41no—
452C4⋊Dic89—41no—
453C4⋊Dic89—41no—
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—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478#13083553—41no—
479#13083553—41no—
480#13083553—41no—
481C22⋊Dic89—22no—
482C22⋊Dic89—22no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
491C22⋊Dic89—41no—
492C22⋊Dic89—41no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
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—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517C4×Dic89—41no—
518C4×Dic89—41no—
519C4×Dic89—41no—
520C24×C89C2411yescharacteristic
521C24×C89C2411yescharacteristic
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89—41no—
525C22×C4×C89C2411yescharacteristic
526C22×C4×C89C2411yescharacteristic
527C22×C4×C89C2411yescharacteristic
528C22×C4×C89C2411yescharacteristic
529C22×C4×C89C2411yescharacteristic
530C22×C4×C89C2411yescharacteristic
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537C22×C4×C89C2411yescharacteristic
538C4⋊C4×C89—22no—
539C4⋊C4×C89—41no—
540C4⋊C4×C89—41no—
541C4⋊C4×C89—41no—
542C4⋊C4×C89—41no—
543C4⋊C4×C89—41no—
544C4⋊C4×C89—41no—
545C4⋊C4×C89—41no—
546C4⋊C4×C89—41no—
547C4⋊C4×C89—41no—
548C4⋊C4×C89—41no—
549C22⋊C4×C89—22no—
550C22⋊C4×C89—22no—
551C22⋊C4×C89—41no—
552C22⋊C4×C89—41no—
553C22⋊C4×C89—41no—
554C22⋊C4×C89—41no—
555C22⋊C4×C89—41no—
556C22⋊C4×C89—41no—
557C22⋊C4×C89—41no—
558C22⋊C4×C89—41no—
559C22⋊C4×C89—41no—
560C22⋊C4×C89—41no—
561C42×C89—41no—
562C23×C89—21no—
563C23×C89—21no—
564C23×C89—21no—
565C23×C89—21no—
566C23×C89—21no—
567C23×C89—21no—
568C23×C89—21no—
569C23×C89—21no—
570C23×C89—21no—
571C23×C89—21no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89C2511yescharacteristic
577C22×D89—21no—
578C22×D89—21no—
579C22×D89—21no—
580C22×D89—21no—
581C22×D89—21no—
582C22×D89—21no—
583C22×D89—21no—
584C22×D89—21no—
585C22×D89—21no—
586C22×D89—21no—
587C22×D89—21no—
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—44no—
592C22×D89—44no—
593C22×D89—44no—
594C22×D89—44no—
595C22×D89—44no—
596C22×D89—44no—
597C22×D89—44no—
598C22×D89—44no—
599C22×D89—44no—
600C22×D89—44no—
601C22×D89—44no—
602C22×D89—44no—
603C22×D89—44no—
604C22×D89—44no—
605C22×D89C2×#4112yes—
606C22×D89H(5,𝔽2)12yes—
607C22×D89H(5,𝔽2)12yes—
608C22×D89H(5,𝔽2)12yes—
609C22×D89H(5,𝔽2)12yes—
610C22×D892−1+412yes—
611C22×D892−1+412yes—
612D4×C89—44no—
613C2×C4×C89—21no—
614C2×C4×C89—21no—
615C2×C4×C89—21no—
616C2×C4×C89—21no—
617C2×C4×C89—21no—
618C2×C4×C89—21no—
619C2×C4×C89—21no—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89C2×#4112yes—
652C22⋊D89—44no—
653C22⋊D89—44no—
654C2×Dic89—21no—
655C2×Dic89—21no—
656C2×Dic89—21no—
657C2×Dic89—21no—
658C2×Dic89—21no—
659C2×Dic89—21no—
660C2×Dic89—21no—
661C2×Dic89—21no—
662C2×Dic89—21no—
663C2×Dic89—21no—
664C2×Dic89—21no—
665C2×Dic89—21no—
666C2×Dic89—21no—
667C2×Dic89—21no—
668C2×Dic89—21no—
669C2×Dic89—21no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89C2×#4112yes—
693D356—44no—
694C4×D89—28no—
695C4×D89—44no—
696C4×D89—44no—
697C4×D89—44no—
698C4×D89—44no—
699C4×D89—44no—
700C4×D89—44no—
701C4×D89—44no—
702C4×D89—44no—
703C4×D89—44no—
704C4×D89—44no—
705C4×D89—44no—
706C4×D89—44no—
707C22×C89—41no—
708C22×C89—41no—
709C22×C89—41no—
710C22×C89—41no—
711C22×C89—41no—
712C22×C89—41no—
713C22×C89—41no—
714C22×C89—41no—
715C22×C89—41no—
716C22×C89—41no—
717C22×C89—41no—
718C22×C89—41no—
719C22×C89—41no—
720C22×C89—41no—
721C22×C89C22×#4111yescharacteristic
722C22×C89C2×H(5,𝔽2)11yescharacteristic
723C22×C89C2×H(5,𝔽2)11yescharacteristic
724C22×C89C2×H(5,𝔽2)11yescharacteristic
725C22×C89C2×H(5,𝔽2)11yescharacteristic
726C22×C89C2×2−1+411yescharacteristic
727C22×C89C2×2−1+411yescharacteristic
728C2×D89—41no—
729C2×D89—41no—
730C2×D89—41no—
731C2×D89—41no—
732C2×D89—41no—
733C2×D89—41no—
734C2×D89—41no—
735C2×D89—41no—
736C2×D89—41no—
737C2×D89—41no—
738C2×D89—41no—
739C2×D89—41no—
740C2×D89—41no—
741C2×D89—41no—
742C2×D89—88no—
743C2×D89—88no—
744C2×D89#53914yes—
745C2×D89#54014yes—
746C2×D89#54214yes—
747C2×D89#56014yes—
748C2×D89#56214yes—
749C2×D89#56214yes—
750C2×D89#56314yes—
751C4×C89—22no—
752C4×C89—41no—
753C4×C89—41no—
754C4×C89—41no—
755C4×C89—41no—
756C4×C89—41no—
757C4×C89—41no—
758C4×C89—41no—
759C4×C89—41no—
760C4×C89—41no—
761C4×C89—41no—
762C4×C89—41no—
763C4×C89—41no—
764Dic89—22no—
765Dic89—41no—
766Dic89—41no—
767Dic89—41no—
768Dic89—41no—
769Dic89—41no—
770Dic89—41no—
771Dic89—41no—
772Dic89—41no—
773Dic89—41no—
774Dic89—41no—
775Dic89—41no—
776Dic89—41no—
777C2×#2837—891nomaximal, Sylow
778C2×C89—81no—
779C2×C89—81no—
780C2×C89C2×#53911yescharacteristic
781C2×C89C2×#54011yescharacteristic
782C2×C89C2×#54211yescharacteristic
783C2×C89C2×#56011yescharacteristic
784C2×C89C2×#56211yescharacteristic
785C2×C89C2×#56211yescharacteristic
786C2×C89C2×#56311yescharacteristic
787D89—81no—
788D89—81no—
789D89#283718yesdirect product factor
790#2837—891no—
791#2837—891no—
792#2837—891no—
793#2837—891no—
794#2837—891no—
795#2837—891no—
796#2837—891no—
797#2837—891no—
798#2837—891no—
799#2837—891no—
800#2837—891no—
801#2837—891no—
802#2837—891no—
803#2837—891no—
804#2837—891no—
805#2837D8911yescharacteristic, direct product factor
806C2×#400—891no—
807C2×#399—891no—
808C2×#399—891no—
809C2×#398—891no—
810C2×#398—891no—
811C2×#397—891no—
812C2×#397—891no—
813C2×#396—891no—
814C2×#396—891no—
815C2×#394—891no—
816C2×#394—891no—
817C2×#394—891no—
818C2×#389—891no—
819C2×#388—891no—
820C2×#388—891no—
821C89C2×#283711yescharacteristic, complemented, Sylow
822C23×D4—891no—
823C22×C4⋊C4—891no—
824C22×C4⋊C4—891no—
825C22×C4⋊C4—891no—
826C22×C4⋊C4—891no—
827C22×C4⋊C4—891no—
828C22×C4⋊C4—891no—
829C22×C4⋊C4—891no—
830C22×C4⋊C4—891no—
831C22×C4⋊C4—891no—
832C22×C4⋊C4—891no—
833C22×C4⋊C4—891no—
834C22×C22⋊C4—891no—
835C22×C22⋊C4—891no—
836C22×C22⋊C4—891no—
837C22×C22⋊C4—891no—
838C22×C22⋊C4—891no—
839C22×C22⋊C4—891no—
840C22×C22⋊C4—891no—
841C22×C22⋊C4—891no—
842C22×C22⋊C4—891no—
843C22×C22⋊C4—891no—
844C22×C22⋊C4—891no—
845C22×C22⋊C4—891no—
846C22×C42—891no—
847#400—891no—
848#400—891no—
849#400—891no—
850#400—891no—
851#400—891no—
852#400—891no—
853#400—891no—
854#400C2×D8911yescharacteristic, complemented
855#399—891no—
856#399—891no—
857#399—891no—
858#399—891no—
859#399—891no—
860#399—891no—
861#399—891no—
862#399—891no—
863#399—891no—
864#399—891no—
865#399—891no—
866#399—891no—
867#399—891no—
868#399—891no—
869#399C2×D8911yescharacteristic, complemented
870#399C2×D8911yescharacteristic, complemented
871#398—891no—
872#398—891no—
873#398—891no—
874#398—891no—
875#398—891no—
876#398—891no—
877#398—891no—
878#398—891no—
879#398—891no—
880#398—891no—
881#398—891no—
882#398—891no—
883#398—891no—
884#398—891no—
885#398C2×D8911yescharacteristic, complemented
886#398C2×D8911yescharacteristic, complemented
887#397—891no—
888#397—891no—
889#397—891no—
890#397—891no—
891#397—891no—
892#397—891no—
893#397—891no—
894#397—891no—
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397C2×D8911yescharacteristic, complemented
902#397C2×D8911yescharacteristic, complemented
903#396—891no—
904#396—891no—
905#396—891no—
906#396—891no—
907#396—891no—
908#396—891no—
909#396—891no—
910#396—891no—
911#396—891no—
912#396—891no—
913#396—891no—
914#396—891no—
915#396—891no—
916#396—891no—
917#396C2×D8911yescharacteristic, complemented
918#396C2×D8911yescharacteristic, complemented
919#394—891no—
920#394—891no—
921#394—891no—
922#394—891no—
923#394—891no—
924#394—891no—
925#394—891no—
926#394—891no—
927#394—891no—
928#394—891no—
929#394—891no—
930#394—891no—
931#394—891no—
932#394—891no—
933#394—891no—
934#394—891no—
935#394—891no—
936#394—891no—
937#394—891no—
938#394—891no—
939#394—891no—
940#394C2×D8911yescharacteristic
941#394C2×D8911yescharacteristic
942#394C2×D8911yescharacteristic
943#389—891no—
944#389—891no—
945#389—891no—
946#389—891no—
947#389—891no—
948#389—891no—
949#389—891no—
950#389C2×D8911yescharacteristic, complemented
951#388—891no—
952#388—891no—
953#388—891no—
954#388—891no—
955#388—891no—
956#388—891no—
957#388—891no—
958#388—891no—
959#388—891no—
960#388—891no—
961#388—891no—
962#388—891no—
963#388—891no—
964#388—891no—
965#388C2×D8911yescharacteristic, complemented
966#388C2×D8911yescharacteristic, complemented
967C2×#95—891no—
968C2×#95—891no—
969C2×#95—891no—
970C2×#95—891no—
971C2×#95—891no—
972C2×#95—891no—
973C2×#95—891no—
974C2×#95—891no—
975C2×#95—891no—
976C2×#95—891no—
977C25—891no—
978C25—891no—
979C22×D4—891no—
980C22×D4—891no—
981C22×D4—891no—
982C22×D4—3562no—
983C22×D4—3562no—
984C22×D4—3562no—
985C22×D4C22×D8911yescharacteristic
986C23×C4—891no—
987C23×C4—891no—
988C23×C4—891no—
989C23×C4—891no—
990C23×C4—891no—
991C23×C4—891no—
992C23×C4—891no—
993C23×C4—891no—
994C23×C4—891no—
995C23×C4—891no—
996C23×C4—891no—
997C23×C4—891no—
998C23×C4—891no—
999C2×C4⋊C4—891no—
1000C2×C4⋊C4—891no—
1001C2×C4⋊C4—891no—
1002C2×C4⋊C4—891no—
1003C2×C4⋊C4—891no—
1004C2×C4⋊C4—891no—
1005C2×C4⋊C4—891no—
1006C2×C4⋊C4—891no—
1007C2×C4⋊C4—891no—
1008C2×C4⋊C4—891no—
1009C2×C4⋊C4—891no—
1010C2×C4⋊C4—891no—
1011C2×C4⋊C4—891no—
1012C2×C4⋊C4—891no—
1013C2×C4⋊C4—891no—
1014C2×C4⋊C4—891no—
1015C2×C4⋊C4—891no—
1016C2×C4⋊C4—891no—
1017C2×C4⋊C4—891no—
1018C2×C4⋊C4—891no—
1019C2×C4⋊C4—891no—
1020C2×C4⋊C4—891no—
1021C2×C4⋊C4—891no—
1022C2×C4⋊C4—891no—
1023C2×C4⋊C4—891no—
1024C2×C4⋊C4—891no—
1025C2×C4⋊C4—891no—
1026C2×C4⋊C4—891no—
1027C2×C4⋊C4—891no—
1028C2×C4⋊C4—891no—
1029C2×C4⋊C4—891no—
1030C2×C4⋊C4—891no—
1031C2×C4⋊C4—891no—
1032C2×C4⋊C4—3562no—
1033C2×C4⋊C4—3562no—
1034C2×C4⋊C4—3562no—
1035C2×C4⋊C4—3562no—
1036C2×C4⋊C4—3562no—
1037C2×C4⋊C4—3562no—
1038C2×C4⋊C4—3562no—
1039C2×C4⋊C4—3562no—
1040C2×C4⋊C4—3562no—
1041C2×C4⋊C4—3562no—
1042C2×C4⋊C4—1784no—
1043C2×C4⋊C4C22×D8911yescharacteristic
1044C2×C4⋊C4C22×D8911yescharacteristic
1045C2×C4⋊C4C22×D8911yescharacteristic
1046C2×C4⋊C4C22×D8911yescharacteristic
1047C2×C4⋊C4C22×D8911yescharacteristic
1048C2×C4⋊C4C22×D8911yescharacteristic
1049C2×C4⋊C4C22×D8911yescharacteristic
1050C2×C4⋊C4C22×D8911yescharacteristic
1051C2×C4⋊C4C22×D8911yescharacteristic
1052C2×C4⋊C4C22×D8911yescharacteristic
1053C2×C4⋊C4C22×D8911yescharacteristic
1054C2×C22⋊C4—891no—
1055C2×C22⋊C4—891no—
1056C2×C22⋊C4—891no—
1057C2×C22⋊C4—891no—
1058C2×C22⋊C4—891no—
1059C2×C22⋊C4—891no—
1060C2×C22⋊C4—891no—
1061C2×C22⋊C4—891no—
1062C2×C22⋊C4—891no—
1063C2×C22⋊C4—891no—
1064C2×C22⋊C4—891no—
1065C2×C22⋊C4—891no—
1066C2×C22⋊C4—891no—
1067C2×C22⋊C4—891no—
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—891no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—3562no—
1091C2×C22⋊C4—3562no—
1092C2×C22⋊C4—3562no—
1093C2×C22⋊C4—3562no—
1094C2×C22⋊C4—3562no—
1095C2×C22⋊C4—3562no—
1096C2×C22⋊C4—3562no—
1097C2×C22⋊C4—3562no—
1098C2×C22⋊C4—3562no—
1099C2×C22⋊C4—3562no—
1100C2×C22⋊C4—1784no—
1101C2×C22⋊C4—1784no—
1102C2×C22⋊C4C22×D8911yescharacteristic
1103C2×C22⋊C4C22×D8911yescharacteristic
1104C2×C22⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4C22×D8911yescharacteristic
1106C2×C22⋊C4C22×D8911yescharacteristic
1107C2×C22⋊C4C22×D8911yescharacteristic
1108C2×C22⋊C4C22×D8911yescharacteristic
1109C2×C22⋊C4C22×D8911yescharacteristic
1110C2×C22⋊C4C22×D8911yescharacteristic
1111C2×C22⋊C4C22×D8911yescharacteristic
1112C2×C22⋊C4C22×D8911yescharacteristic
1113C2×C22⋊C4C22×D8911yescharacteristic
1114C2×C42—891no—
1115C2×C42—891no—
1116C2×C42—891no—
1117C2×C42—3562no—
1118C2×C42C22×D8911yescharacteristic
1119#95—891no—
1120#95—891no—
1121#95—891no—
1122#95—891no—
1123#95—891no—
1124#95—891no—
1125#95—891no—
1126#95—891no—
1127#95—891no—
1128#95—891no—
1129#95—891no—
1130#95—891no—
1131#95—891no—
1132#95—891no—
1133#95—891no—
1134#95—891no—
1135#95—891no—
1136#95—891no—
1137#95—891no—
1138#95—891no—
1139#95—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95C22×D8911yescharacteristic
1150#95C22×D8911yescharacteristic
1151#95C22×D8911yescharacteristic
1152#95C22×D8911yescharacteristic
1153#95C22×D8911yescharacteristic
1154#95C22×D8911yescharacteristic
1155#95C22×D8911yescharacteristic
1156#95C22×D8911yescharacteristic
1157#95C22×D8911yescharacteristic
1158#95C22×D8911yescharacteristic
1159C24—891no—
1160C24—891no—
1161C24—891no—
1162C24—1782no—
1163C24—1782no—
1164C24—1782no—
1165C24—1782no—
1166C24—1782no—
1167C24—1782no—
1168C24—1782no—
1169C24—1782no—
1170C24—1782no—
1171C24—1782no—
1172C24—1782no—
1173C24—1782no—
1174C24—1782no—
1175C24—1782no—
1176C24C23×D8911yescharacteristic
1177C24C23×D8911yescharacteristic
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—3561no—
1182C2×D4—3561no—
1183C2×D4—3561no—
1184C2×D4—35616no—
1185C2×D4—3561no—
1186C2×D4—3561no—
1187C2×D4—3561no—
1188C2×D4—3561no—
1189C2×D4—3561no—
1190C2×D4—3561no—
1191C22×C4—891no—
1192C22×C4—894no—
1193C22×C4—891no—
1194C22×C4—891no—
1195C22×C4—891no—
1196C22×C4—891no—
1197C22×C4—891no—
1198C22×C4—891no—
1199C22×C4—891no—
1200C22×C4—891no—
1201C22×C4—891no—
1202C22×C4—891no—
1203C22×C4—891no—
1204C22×C4—891no—
1205C22×C4—1782no—
1206C22×C4—1782no—
1207C22×C4—1782no—
1208C22×C4—1782no—
1209C22×C4—1782no—
1210C22×C4—1782no—
1211C22×C4—1782no—
1212C22×C4—1782no—
1213C22×C4—1782no—
1214C22×C4—1782no—
1215C22×C4—1782no—
1216C22×C4—1782no—
1217C22×C4—1782no—
1218C22×C4—1782no—
1219C22×C4—1782no—
1220C22×C4—1782no—
1221C22×C4—1782no—
1222C22×C4—1782no—
1223C22×C4—1782no—
1224C22×C4—1782no—
1225C22×C4—1782no—
1226C22×C4—1782no—
1227C22×C4—1782no—
1228C22×C4—1782no—
1229C22×C4—1782no—
1230C22×C4—1782no—
1231C22×C4—1782no—
1232C22×C4—1782no—
1233C22×C4—1782no—
1234C22×C4—1782no—
1235C22×C4—1782no—
1236C22×C4—1782no—
1237C22×C4—1782no—
1238C22×C4—1782no—
1239C22×C4—1782no—
1240C22×C4—1782no—
1241C22×C4—1782no—
1242C22×C4—1782no—
1243C22×C4C23×D8911yescharacteristic
1244C22×C4C23×D8911yescharacteristic
1245C22×C4C23×D8911yescharacteristic
1246C22×C4C23×D8911yescharacteristic
1247C22×C4C23×D8911yescharacteristic
1248C22×C4C23×D8911yescharacteristic
1249C22×C4C23×D8911yescharacteristic
1250C22×C4C23×D8911yescharacteristic
1251C22×C4C23×D8911yescharacteristic
1252C22×C4C23×D8911yescharacteristic
1253C22×C4C23×D8911yescharacteristic
1254C22×C4C23×D8911yescharacteristic
1255C22×C4C23×D8911yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—3561no—
1268C4⋊C4—3561no—
1269C4⋊C4—3561no—
1270C4⋊C4—3561no—
1271C4⋊C4—3561no—
1272C4⋊C4—3561no—
1273C4⋊C4—3561no—
1274C4⋊C4—3561no—
1275C4⋊C4—3561no—
1276C4⋊C4—3561no—
1277C4⋊C4—3561no—
1278C4⋊C4—3561no—
1279C4⋊C4—3561no—
1280C4⋊C4—3561no—
1281C4⋊C4—3561no—
1282C4⋊C4—3561no—
1283C4⋊C4—3561no—
1284C4⋊C4—3561no—
1285C4⋊C4—3561no—
1286C4⋊C4—3561no—
1287C4⋊C4—3561no—
1288C4⋊C4—3561no—
1289C4⋊C4—3561no—
1290C4⋊C4—3561no—
1291C4⋊C4—3561no—
1292C4⋊C4—3561no—
1293C4⋊C4—3561no—
1294C4⋊C4—3561no—
1295C4⋊C4—3561no—
1296C4⋊C4—3561no—
1297C4⋊C4—1782no—
1298C4⋊C4—1782no—
1299C4⋊C4—1782no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—3561no—
1313C22⋊C4—3561no—
1314C22⋊C4—3561no—
1315C22⋊C4—3561no—
1316C22⋊C4—3561no—
1317C22⋊C4—3561no—
1318C22⋊C4—3561no—
1319C22⋊C4—3561no—
1320C22⋊C4—3561no—
1321C22⋊C4—3561no—
1322C22⋊C4—3561no—
1323C22⋊C4—3561no—
1324C22⋊C4—3561no—
1325C22⋊C4—3561no—
1326C22⋊C4—3561no—
1327C22⋊C4—3561no—
1328C22⋊C4—3561no—
1329C22⋊C4—3561no—
1330C22⋊C4—3561no—
1331C22⋊C4—3561no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—1782no—
1343C22⋊C4—1782no—
1344C22⋊C4—1782no—
1345C22⋊C4—1782no—
1346C22⋊C4—1782no—
1347C22⋊C4—1782no—
1348C42—41no—
1349C42—3561no—
1350C42—3561no—
1351C42—3561no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—892no—
1367C23—892no—
1368C23—892no—
1369C23—892no—
1370C23—892no—
1371C23—892no—
1372C23—892no—
1373C23—3564no—
1374C23—3564no—
1375C23—3564no—
1376C23—3564no—
1377C23—3564no—
1378C23—3564no—
1379C23—3564no—
1380C23—3564no—
1381C23—3564no—
1382C23—3564no—
1383C23—3564no—
1384C23—3564no—
1385C23—3564no—
1386C23—3564no—
1387C23—1781no—
1388C23—1781no—
1389C23—1781no—
1390C23—1781no—
1391C23—1781no—
1392C23—1781no—
1393C23—1781no—
1394C23—1781no—
1395C23—1781no—
1396C23—1781no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1781no—
1401C23C24×D8911yescharacteristic
1402D4—44no—
1403D4—3564no—
1404D4—3564no—
1405D4—3564no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—892no—
1445C2×C4—3564no—
1446C2×C4—3564no—
1447C2×C4—3564no—
1448C2×C4—3564no—
1449C2×C4—3564no—
1450C2×C4—3564no—
1451C2×C4—3564no—
1452C2×C4—3564no—
1453C2×C4—3564no—
1454C2×C4—3564no—
1455C2×C4—3564no—
1456C2×C4—3564no—
1457C2×C4—1788no—
1458C2×C4—1781no—
1459C2×C4—1781no—
1460C2×C4—1781no—
1461C2×C4—1781no—
1462C2×C4—1781no—
1463C2×C4—1781no—
1464C2×C4—1781no—
1465C2×C4—1781no—
1466C2×C4—1781no—
1467C2×C4—1781no—
1468C2×C4—1781no—
1469C2×C4—1781no—
1470C2×C4—1781no—
1471C2×C4—1781no—
1472C2×C4—1781no—
1473C2×C4—1781no—
1474C2×C4—1781no—
1475C2×C4—1781no—
1476C2×C4—1781no—
1477C2×C4—1781no—
1478C2×C4—1781no—
1479C2×C4—1781no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4#41×D8912yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—894no—
1512C22—894no—
1513C22—894no—
1514C22—894no—
1515C22—894no—
1516C22—894no—
1517C22—894no—
1518C22—3561no—
1519C22—3561no—
1520C22—3561no—
1521C22—3561no—
1522C22—3561no—
1523C22—3561no—
1524C22—3561no—
1525C22—3561no—
1526C22—3561no—
1527C22—3561no—
1528C22—3561no—
1529C22—3561no—
1530C22—3561no—
1531C22—3561no—
1532C22—7128no—
1533C22—7128no—
1534C22C2×#41×D8911yescharacteristic
1535C22H(5,𝔽2)×D8911yescharacteristic
1536C22H(5,𝔽2)×D8911yescharacteristic
1537C22H(5,𝔽2)×D8911yescharacteristic
1538C22H(5,𝔽2)×D8911yescharacteristic
1539C222−1+4×D8911yescharacteristic
1540C222−1+4×D8911yescharacteristic
1541C4—22no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—3561no—
1555C4—3561no—
1556C4—3561no—
1557C4—3561no—
1558C4—3561no—
1559C4—3561no—
1560C4—3561no—
1561C4—3561no—
1562C4—3561no—
1563C4—3561no—
1564C4—3561no—
1565C4—3561no—
1566C4—1782no—
1567C2—81no—
1568C2—81no—
1569C2—898no—
1570C2—7121no—
1571C2—7121no—
1572C2#539×D8911yescharacteristic
1573C2#540×D8911yescharacteristic
1574C2#542×D8911yescharacteristic
1575C2#560×D8911yescharacteristic
1576C2#562×D8911yescharacteristic
1577C2#562×D8911yescharacteristic
1578C2#563×D8911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2837C2
prime radicalC22×D4×D89C22
hypercenter#2837D89
hypocenterC89C2×#2837
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2837

Complements

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

NH ≅ G/Ntype
1. #26028473C2semidirect
2. #26028472C2semidirect
3. #26028471C2semidirect
4. #26028470C2semidirect
5. #26028469C2semidirect
6. #26028468C2semidirect
7. #26028467C2semidirect
8. #26028466C2semidirect
9. #26028465C2semidirect
10. #26028464C2semidirect
11. #26028463C2semidirect
12. #26028462C2semidirect
13. #26028461C2semidirect
14. #26028460C2semidirect
15. #26028459C2semidirect
16. #400×D89C2semidirect
17. #399×D89C2semidirect
18. #399×D89C2semidirect
19. #398×D89C2semidirect
20. #398×D89C2semidirect
21. #397×D89C2semidirect
22. #397×D89C2semidirect
23. #396×D89C2semidirect
24. #396×D89C2semidirect
28. #389×D89C2semidirect
29. #388×D89C2semidirect
30. #388×D89C2semidirect
31. C89×#2837C2semidirect
57. #19151540C22semidirect
58. #19151540C22semidirect
59. #19151539C22semidirect
60. #19151539C22semidirect
61. #19151538C22semidirect
62. #19151537C22semidirect
63. #19151536C22semidirect
64. #19151535C22semidirect
65. #19151535C22semidirect
66. #19151534C22semidirect
67. #19151534C22semidirect
68. #19151534C22semidirect
69. #19151534C22semidirect
70. #19151534C22semidirect
71. #19151534C22semidirect
72. #19151533C22semidirect
73. #19151533C22semidirect
74. #19151533C22semidirect
75. #19151533C22semidirect
76. #19151533C22semidirect
77. #19151533C22semidirect
78. #19151532C22semidirect
79. #19151532C22semidirect
80. #19151532C22semidirect
81. #19151532C22semidirect
82. #19151531C22semidirect
83. #19151531C22semidirect
84. #19151531C22semidirect
85. #19151531C22semidirect
86. #19151530C22semidirect
87. #19151530C22semidirect
88. #19151529C22semidirect
89. #19151529C22semidirect
90. #19151528C22semidirect
91. #19151528C22semidirect
92. #19151527C22semidirect
93. #19151527C22semidirect
94. #19151527C22semidirect
95. #19151527C22semidirect
96. #19151526C22semidirect
97. #19151526C22semidirect
98. #19151526C22semidirect
99. #19151526C22semidirect
100. #19151525C22semidirect
101. #19151525C22semidirect
102. #19151524C22semidirect
103. #19151524C22semidirect
104. #19151523C22semidirect
105. #19151523C22semidirect
106. #19151522C22semidirect
107. #19151522C22semidirect
108. #19151521C22semidirect
109. #19151521C22semidirect
110. #19151521C22semidirect
111. #19151521C22semidirect
112. #19151521C22semidirect
113. #19151521C22semidirect
114. #19151520C22semidirect
115. #19151520C22semidirect
116. #19151520C22semidirect
117. #19151520C22semidirect
118. #19151520C22semidirect
119. #19151520C22semidirect
141. #19151497C22semidirect
142. #19151496C22semidirect
143. #19151495C22semidirect
144. #19151495C22semidirect
145. #19151494C22semidirect
146. #19151493C22semidirect
147. #19151493C22semidirect
148. #19151492C22semidirect
149. #19151492C22semidirect
150. #19151491C22semidirect
151. #19151491C22semidirect
152. #19151490C22semidirect
153. #19151490C22semidirect
154. #19151489C22semidirect
155. #19151489C22semidirect
156. #19151488C22semidirect
157. #19151488C22semidirect
158. #19151487C22semidirect
159. #19151487C22semidirect
160. #19151486C22semidirect
161. #19151486C22semidirect
172. #400×C89C22semidirect
173. #399×C89C22semidirect
174. #399×C89C22semidirect
175. #398×C89C22semidirect
176. #398×C89C22semidirect
177. #397×C89C22semidirect
178. #397×C89C22semidirect
179. #396×C89C22semidirect
180. #396×C89C22semidirect
184. #389×C89C22semidirect
185. #388×C89C22semidirect
186. #388×C89C22semidirect
789. D89#2837direct (N × H)
805. #2837D89direct (N × H)
821. C89C2×#2837semidirect
854. #400C2×D89semidirect
869. #399C2×D89semidirect
870. #399C2×D89semidirect
885. #398C2×D89semidirect
886. #398C2×D89semidirect
901. #397C2×D89semidirect
902. #397C2×D89semidirect
917. #396C2×D89semidirect
918. #396C2×D89semidirect
950. #389C2×D89semidirect
965. #388C2×D89semidirect
966. #388C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260284732
#260284722
#260284712
#260284702
#260284692
#260284682
#260284672
#260284662
#260284652
#260284642
#260284632
#260284622
#260284612
#260284602
#260284592
#400×D892
#399×D892
#398×D892
#397×D892
#396×D892
#394×D892
#389×D892
#388×D892
C89×#28372
C2×#283789