Finite Group Databasebeta

← #36761462

Subgroups — #36761462

Order 22784.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152190C211yesmaximal, characteristic, complemented
2C2×#19152107C211yesmaximal, characteristic, complemented
3#26028543C211yesmaximal, characteristic, complemented
4#26028538C211yesmaximal, characteristic, complemented
5#26026956C211yesmaximal, characteristic, complemented
6#26026945C211yesmaximal, characteristic, complemented
7#26026911C211yesmaximal, characteristic, complemented
8#26026900C211yesmaximal, characteristic, complemented
9#26026870C211yesmaximal, characteristic, complemented
10#26026827C211yesmaximal, characteristic, complemented
11#26026818C211yesmaximal, characteristic, complemented
12#26026646C211yesmaximal, characteristic, complemented
13#26026625C211yesmaximal, characteristic, complemented
14#26026620C211yesmaximal, characteristic, complemented
15#26026610C211yesmaximal, characteristic, complemented
16#26026605C211yesmaximal, characteristic, complemented
17#26026594C211yesmaximal, characteristic, complemented
18#26026588C211yesmaximal, characteristic, complemented
19#26026578C211yesmaximal, characteristic, complemented
20#26026570C211yesmaximal, characteristic, complemented
21#26026176C211yesmaximal, characteristic, complemented
22#26026099C211yesmaximal, characteristic, complemented
23#26025948C211yesmaximal, characteristic, complemented
24#26025876C211yesmaximal, characteristic, complemented
25#26025855C211yesmaximal, characteristic, complemented
26#26025595C211yesmaximal, characteristic, complemented
27#26025450C211yesmaximal, characteristic, complemented
28#26023597C211yesmaximal, characteristic, complemented
29#26023589C211yesmaximal, characteristic, complemented
30#26022892C211yesmaximal, characteristic, complemented
31C89×#2600C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34#19152190—28no—
35C2×#15668006C2211yescharacteristic
36C2×#15668005C2211yescharacteristic, complemented
37C2×#15668004C2211yescharacteristic, complemented
38C2×#15668002C2211yescharacteristic, complemented
39#19152107—28no—
40C2×#15667997C2211yescharacteristic
41C2×#15667996C2211yescharacteristic
42C2×#15667996C2211yescharacteristic
43C2×#15667996C2211yescharacteristic, complemented
44C2×#15667995C2211yescharacteristic
45C2×#15667994C2211yescharacteristic
46C2×#15667994C2211yescharacteristic
47C2×#15667994C2211yescharacteristic
48C2×#15667993C2211yescharacteristic, complemented
49C2×#15667991C2211yescharacteristic, complemented
50C2×#15667991C2211yescharacteristic, complemented
51C2×#15667990C2211yescharacteristic
52C2×#15667990C2211yescharacteristic
53C2×#15667990C2211yescharacteristic
54C2×#15667989C2211yescharacteristic
55C2×#15667989C2211yescharacteristic
56C2×#15667989C2211yescharacteristic, complemented
57C2×#15667986C2211yescharacteristic
58C2×#15667985C2211yescharacteristic
59C2×#15667984C2211yescharacteristic
60C2×#15667984C2211yescharacteristic
61C2×#15667982C2211yescharacteristic
62C2×#15667980C2211yescharacteristic
63C2×#15667980C2211yescharacteristic
64C2×C4×D356C2211yescharacteristic
65C2×C4×C22⋊D89C2211yescharacteristic
66C2×C4×C22⋊D89C2211yescharacteristic
67C2×#15667969C2211yescharacteristic
68C22×#13083553C2211yescharacteristic, complemented
69#19151539C2211yescharacteristic, complemented
70#19151533C2211yescharacteristic
71#19151532C2211yescharacteristic, complemented
72#19151532C2211yescharacteristic, complemented
73#19151532C2211yescharacteristic, complemented
74#19151531C2211yescharacteristic, complemented
75#19151531C2211yescharacteristic, complemented
76#19151531C2211yescharacteristic, complemented
77#19151530C2211yescharacteristic, complemented
78#19151527C2211yescharacteristic
79#19151527C2211yescharacteristic
80#19151527C2211yescharacteristic, complemented
81#19151526C2211yescharacteristic, complemented
82#19151525C2211yescharacteristic
83#19151524C2211yescharacteristic
84#19151522C2211yescharacteristic, complemented
85#19151521C2211yescharacteristic
86#19151521C2211yescharacteristic
87#19151521C2211yescharacteristic
88#19151521C2211yescharacteristic
89#19151521C2211yescharacteristic, complemented
90#19151521C2211yescharacteristic, complemented
91#19151520C2211yescharacteristic
92#19151520C2211yescharacteristic, complemented
93#19151520C2211yescharacteristic, complemented
94#19151519C2211yescharacteristic, complemented
95#19151519C2211yescharacteristic, complemented
96#19151519C2211yescharacteristic, complemented
97#19151516C2211yescharacteristic
98#19151516C2211yescharacteristic
99#19151516C2211yescharacteristic
100#19151516C2211yescharacteristic
101#19151515C2211yescharacteristic
102#19151514C2211yescharacteristic
103#19151513C2211yescharacteristic
104#19151513C2211yescharacteristic
105#19151513C2211yescharacteristic
106#19151513C2211yescharacteristic, complemented
107#19151513C2211yescharacteristic, complemented
108#19151511C2211yescharacteristic, complemented
109#19151507C2211yescharacteristic
110#19151506C2211yescharacteristic
111#19151506C2211yescharacteristic
112#19151506C2211yescharacteristic, complemented
113#19151504C2211yescharacteristic, complemented
114#19151501C2211yescharacteristic
115#19151500C2211yescharacteristic
116#19151498C2211yescharacteristic
117#19151498C2211yescharacteristic
118#19151498C2211yescharacteristic
119#19151498C2211yescharacteristic
120#19151498C2211yescharacteristic
121#19151498C2211yescharacteristic, complemented
122#19151495C2211yescharacteristic, complemented
123#19151495C2211yescharacteristic, complemented
124#19151495C2211yescharacteristic, complemented
125#19151494C2211yescharacteristic, complemented
126#19151494C2211yescharacteristic, complemented
127#19151492C2211yescharacteristic, complemented
128#19151492C2211yescharacteristic, complemented
129#19151491C2211yescharacteristic
130#19151490C2211yescharacteristic
131#19151490C2211yescharacteristic
132#19151490C2211yescharacteristic
133#19151490C2211yescharacteristic, complemented
134#19151487C2211yescharacteristic
135#19151487C2211yescharacteristic
136#19151486C2211yescharacteristic, complemented
137#19151482C2211yescharacteristic, complemented
138#19151482C2211yescharacteristic, complemented
139#19151478C2211yescharacteristic
140#19151478C2211yescharacteristic
141#19151478C2211yescharacteristic
142#19151475C2211yescharacteristic
143#19151475C2211yescharacteristic, complemented
144#19151474C2211yescharacteristic
145#19151474C2211yescharacteristic
146#19151474C2211yescharacteristic, complemented
147#19151473C2211yescharacteristic
148#19151472C2211yescharacteristic
149#19151472C2211yescharacteristic
150#19151472C2211yescharacteristic
151#19151472C2211yescharacteristic
152#19151472C2211yescharacteristic, complemented
153#19151472C2211yescharacteristic, complemented
154#19151471C2211yescharacteristic
155#19151471C2211yescharacteristic
156#19151470C2211yescharacteristic, complemented
157#19151470C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic
159#19151469C2211yescharacteristic
160#19151469C2211yescharacteristic, complemented
161#19151467C2211yescharacteristic, complemented
162#19151462C2211yescharacteristic, complemented
163#19151460C2211yescharacteristic
164#19151460C2211yescharacteristic
165#19151458C2211yescharacteristic, complemented
166#19151457C2211yescharacteristic
167#19151457C2211yescharacteristic
168#19151456C2211yescharacteristic
169#19151453C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172#19151449C2211yescharacteristic, complemented
173#19151443C2211yescharacteristic, complemented
174C2×C4×D4×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#394×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic, complemented
179#392×C89C2211yescharacteristic
180#388×C89C2211yescharacteristic
181#388×C89C2211yescharacteristic, complemented
182#387×C89C2211yescharacteristic, complemented
183#387×C89C2211yescharacteristic, complemented
184#386×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic
186#385×C89C2211yescharacteristic
187#385×C89C2211yescharacteristic, complemented
188#381×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C2×#13083574—24no—
191C2×#13083574—42no—
192C2×#13083574—42no—
193C22×Dic178C2311yescharacteristic
194C22×Dic178C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C22×C4×D89—24no—
208C22×C4×D89—42no—
209C22×C4×D89—42no—
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15668006—24no—
216#15668005—24no—
217#15668004—24no—
218#15668002—24no—
219#15667997—24no—
220#15667996—24no—
221#15667996—42no—
222#15667996—42no—
223#15667995—24no—
224#15667994—24no—
225#15667994—24no—
226#15667994—42no—
227#15667993—24no—
228#15667991—24no—
229#15667991—42no—
230#15667990—24no—
231#15667990—24no—
232#15667990—42no—
233#15667989—24no—
234#15667989—24no—
235#15667989—42no—
236#15667986—42no—
237#15667985—24no—
238#15667984—24no—
239#15667984—24no—
240#15667982—24no—
241#15667980—24no—
242#15667980—42no—
243C4×D356—24no—
244C4×C22⋊D89—24no—
245C4×C22⋊D89D418yescomplemented
246#15667969—24no—
247C2×C4⋊Dic89C2311yescharacteristic
248C2×C4⋊Dic89C2311yescharacteristic
249C2×C4⋊Dic89C2311yescharacteristic
250C2×C4⋊Dic89C2311yescharacteristic
251C2×C4⋊Dic89C2311yescharacteristic
252C2×C4⋊Dic89C2311yescharacteristic
253C2×C4⋊Dic89C2311yescharacteristic
254C2×C4⋊Dic89C2311yescharacteristic
255C2×C4⋊Dic89C2311yescharacteristic
256C2×C4⋊Dic89C2311yescharacteristic
257C2×#13083553—24no—
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C2×#13083553C2311yescharacteristic
262C2×#13083553C2311yescharacteristic
263C2×#13083553C2311yescharacteristic
264C2×#13083553C2311yescharacteristic
265C2×#13083553C2311yescharacteristic
266C2×#13083553C2311yescharacteristic
267C2×#13083553C2311yescharacteristic
268C2×#13083553C2311yescharacteristic
269C2×#13083553C2311yescharacteristic
270C2×#13083553C2311yescharacteristic
271C2×#13083553C2311yescharacteristic
272C2×#13083553C2311yescharacteristic
273C2×#13083553C2311yescharacteristic
274C2×#13083553C2311yescharacteristic
275C2×#13083553C2311yescharacteristic
276C2×#13083553C2311yescharacteristic
277C2×#13083553C2311yescharacteristic
278C2×#13083553C2311yescharacteristic
279C2×#13083553C2311yescharacteristic
280C2×#13083553C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×C22⋊Dic89C2311yescharacteristic
287C2×C22⋊Dic89C2311yescharacteristic
288C2×C22⋊Dic89C2311yescharacteristic
289C2×C22⋊Dic89C2311yescharacteristic
290C2×C22⋊Dic89C2311yescharacteristic
291C2×C22⋊Dic89C2311yescharacteristic
292C2×C22⋊Dic89C2311yescharacteristic
293C2×C22⋊Dic89C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic
314C2×#13083551C2311yescharacteristic
315C2×#13083551C2311yescharacteristic
316C2×#13083551C2311yescharacteristic
317C2×#13083551C2311yescharacteristic
318C2×#13083551C2311yescharacteristic
319C2×#13083551C2311yescharacteristic
320C2×#13083551C2311yescharacteristic
321C2×C4×Dic89C2311yescharacteristic
322C2×C4×Dic89C2311yescharacteristic
323C2×C4×Dic89C2311yescharacteristic
324C2×C4×Dic89C2311yescharacteristic
325C2×C4×Dic89C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346#15667919C2311yescharacteristic
347#15667919C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C22×D4×C89C2311yescharacteristic
350C22×D4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353C23×C4×C89C2311yescharacteristic
354C4×D4×C89—24no—
355C4×D4×C89—24no—
356C2×C4⋊C4×C89C2311yescharacteristic
357C2×C4⋊C4×C89C2311yescharacteristic
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C4⋊C4×C89C2311yescharacteristic
360C2×C4⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C42×C89C2311yescharacteristic
374C2×C42×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376#95×C89C2311yescharacteristic
377#95×C89C2311yescharacteristic
378#95×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C23×D89—22no—
386C23×D89—22no—
387C23×D89—22no—
388C23×D89—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C23×D89C2411yescharacteristic
395#13083574—416no—
396C2×Dic178—22no—
397C2×Dic178—22no—
398C2×Dic178—22no—
399C2×Dic178—41no—
400C2×Dic178—41no—
401C2×Dic178—41no—
402C2×D356—22no—
403C2×D356—22no—
404C2×D356—22no—
405C2×D356—41no—
406C2×D356—41no—
407C2×D356—41no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—22no—
410C2×C22⋊D89—22no—
411C2×C22⋊D89—22no—
412C2×C22⋊D89—22no—
413C2×C22⋊D89—22no—
414C2×C22⋊D89—22no—
415C2×C22⋊D89—22no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89—41no—
420C2×C22⋊D89—41no—
421C2×C22⋊D89—41no—
422C2×C22⋊D89—41no—
423C2×C22⋊D89—41no—
424C2×C22⋊D89—41no—
425C2×C22⋊D89—41no—
426C2×C22⋊D89—41no—
427C2×C22⋊D89—41no—
428C2×C22⋊D89C2×D414yes—
429C22×Dic89—22no—
430C22×Dic89—22no—
431C22×Dic89—22no—
432C22×Dic89—22no—
433C22×Dic89—41no—
434C22×Dic89—41no—
435C22×Dic89—41no—
436C22×Dic89—41no—
437C22×Dic89—41no—
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C22×Dic89C2411yescharacteristic
448C22×Dic89C2411yescharacteristic
449C22×Dic89C2411yescharacteristic
450C22×Dic89C2411yescharacteristic
451C2×C4×D89—22no—
452C2×C4×D89—22no—
453C2×C4×D89—22no—
454C2×C4×D89—22no—
455C2×C4×D89—22no—
456C2×C4×D89—22no—
457C2×C4×D89—22no—
458C2×C4×D89—22no—
459C2×C4×D89—416no—
460C2×C4×D89—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—41no—
466C2×C4×D89C2×D414yes—
467C4⋊Dic89—22no—
468C4⋊Dic89—22no—
469C4⋊Dic89—22no—
470C4⋊Dic89—22no—
471C4⋊Dic89—22no—
472C4⋊Dic89—22no—
473C4⋊Dic89—41no—
474C4⋊Dic89—41no—
475C4⋊Dic89—41no—
476C4⋊Dic89—41no—
477#13083553—22no—
478#13083553—22no—
479#13083553—22no—
480#13083553—22no—
481#13083553—22no—
482#13083553—22no—
483#13083553—22no—
484#13083553—22no—
485#13083553—22no—
486#13083553—22no—
487#13083553—22no—
488#13083553—22no—
489#13083553—22no—
490#13083553—41no—
491#13083553—41no—
492#13083553—41no—
493#13083553—41no—
494#13083553—41no—
495#13083553—41no—
496#13083553—41no—
497#13083553—41no—
498#13083553—41no—
499#13083553C2×D414yes—
500C22⋊Dic89—22no—
501C22⋊Dic89—22no—
502C22⋊Dic89—22no—
503C22⋊Dic89—22no—
504C22⋊Dic89—22no—
505C22⋊Dic89—41no—
506C22⋊Dic89—41no—
507C22⋊Dic89—41no—
508C22⋊Dic89—41no—
509C22⋊Dic89—41no—
510C22⋊Dic89—41no—
511C22⋊Dic89—41no—
512C22⋊Dic89C2×D414yes—
513#13083551—22no—
514#13083551—22no—
515#13083551—22no—
516#13083551—22no—
517#13083551—22no—
518#13083551—22no—
519#13083551—22no—
520#13083551—22no—
521#13083551—22no—
522#13083551—22no—
523#13083551—22no—
524#13083551—41no—
525#13083551—41no—
526#13083551—41no—
527#13083551—41no—
528#13083551—41no—
529#13083551—41no—
530#13083551—41no—
531#13083551—41no—
532#13083551—41no—
533#13083551—41no—
534#13083551—41no—
535#13083551—41no—
536#13083551—41no—
537#13083551—41no—
538#13083551—41no—
539#13083551C2×D414yes—
540C4×Dic89—41no—
541C4×Dic89—41no—
542C4×Dic89—41no—
543C4×Dic89—41no—
544C4×Dic89C2×D414yes—
545C24×C89C2411yescharacteristic
546C24×C89C2411yescharacteristic
547C24×C89C2411yescharacteristic
548C2×D4×C89—22no—
549C2×D4×C89—22no—
550C2×D4×C89—22no—
551C2×D4×C89—22no—
552C2×D4×C89—41no—
553C2×D4×C89—41no—
554C2×D4×C89—41no—
555C2×D4×C89—41no—
556C2×D4×C89—41no—
557C22×C4×C89—22no—
558C22×C4×C89—22no—
559C22×C4×C89—41no—
560C22×C4×C89—41no—
561C22×C4×C89—41no—
562C22×C4×C89—41no—
563C22×C4×C89—41no—
564C22×C4×C89—41no—
565C22×C4×C89C2×D414yes—
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C22×C4×C89C2411yescharacteristic
572C22×C4×C89C2411yescharacteristic
573C22×C4×C89C2411yescharacteristic
574C22×C4×C89C2411yescharacteristic
575C22×C4×C89C2411yescharacteristic
576C22×C4×C89C2411yescharacteristic
577C22×C4×C89C2411yescharacteristic
578C4⋊C4×C89—22no—
579C4⋊C4×C89—22no—
580C4⋊C4×C89—41no—
581C4⋊C4×C89—41no—
582C4⋊C4×C89—41no—
583C22⋊C4×C89—22no—
584C22⋊C4×C89—22no—
585C22⋊C4×C89—22no—
586C22⋊C4×C89—22no—
587C22⋊C4×C89—22no—
588C22⋊C4×C89—41no—
589C22⋊C4×C89—41no—
590C22⋊C4×C89—41no—
591C22⋊C4×C89—41no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C42×C89—22no—
596C42×C89—22no—
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—21no—
616C23×C89C22×D412yes—
617C23×C892−1+412yes—
618C23×C89C2511yescharacteristic
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
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—44no—
639C22×D89—44no—
640C22×D89—44no—
641C22×D89—44no—
642C22×D89—44no—
643C22×D89—44no—
644C22×D89—44no—
645C22×D89C22×D412yes—
646C22×D89H(5,𝔽2)12yes—
647D4×C89—44no—
648D4×C89—44no—
649D4×C89—82no—
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—21no—
676C2×C4×C89—21no—
677C2×C4×C89—21no—
678C2×C4×C89—21no—
679C2×C4×C89—21no—
680C2×C4×C89—21no—
681C2×C4×C89—21no—
682C2×C4×C89—21no—
683C2×C4×C89—21no—
684C2×C4×C89—44no—
685C2×C4×C89—44no—
686C2×C4×C89—82no—
687C2×C4×C89C22×D412yes—
688C2×C4×C89C22×D412yes—
689C22⋊D89—44no—
690C22⋊D89—44no—
691C22⋊D89—44no—
692C22⋊D89—44no—
693C22⋊D89—82no—
694C22⋊D89—82no—
695C22⋊D89—82no—
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—21no—
727C2×Dic89—21no—
728C2×Dic89—21no—
729C2×Dic89—21no—
730C2×Dic89—21no—
731C2×Dic89—44no—
732C2×Dic89—44no—
733C2×Dic89—82no—
734C2×Dic89C22×D412yes—
735C2×Dic89C22×D412yes—
736C2×Dic89C22×D412yes—
737C2×Dic89H(5,𝔽2)12yes—
738D356—44no—
739D356—44no—
740C4×D89—28no—
741C4×D89—44no—
742C4×D89—44no—
743C4×D89—44no—
744C4×D89—44no—
745Dic178—44no—
746Dic178—82no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
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×C89C23×D411yescharacteristic
769C22×C89C2×H(5,𝔽2)11yescharacteristic
770C22×C89C2×H(5,𝔽2)11yescharacteristic
771C22×C89C2×2−1+411yescharacteristic
772C22×C89#58511yescharacteristic
773C22×C89#58511yescharacteristic
774C22×C89#58511yescharacteristic
775C2×D89—22no—
776C2×D89—22no—
777C2×D89—22no—
778C2×D89—22no—
779C2×D89—22no—
780C2×D89—22no—
781C2×D89—416no—
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—
795C2×D89—41no—
796C2×D89—41no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809Dic89—22no—
810Dic89—22no—
811Dic89—22no—
812Dic89—22no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822#36723—891nomaximal, Sylow
823C2×C89—42no—
824C2×C89—42no—
825C2×C89—81no—
826C2×C89#344911yescharacteristic
827C2×C89#348411yescharacteristic
828C2×C89#348911yescharacteristic
829C2×C89#353311yescharacteristic
830C2×C89#353511yescharacteristic
831C2×C89#353911yescharacteristic
832C2×C89#354111yescharacteristic
833D89—42no—
834D89—42no—
835D89—81no—
836C2×#539—891no—
837C2×#525—891no—
838#2849—891no—
839#2848—891no—
840#2707—891no—
841#2706—891no—
842#2704—891no—
843#2703—891no—
844#2701—891no—
845#2698—891no—
846#2697—891no—
847#2685—891no—
848#2683—891no—
849#2682—891no—
850#2681—891no—
851#2681—891no—
852#2680—891no—
853#2680—891no—
854#2678—891no—
855#2678—891no—
856#2638—891no—
857#2630—891no—
858#2611—891no—
859#2603—891no—
860#2601—891no—
861#2600D8911yescharacteristic, complemented
862#2579—891no—
863#2566—891no—
864#2407—891no—
865#2406—891no—
866#2319—891no—
867C89#3672311yescharacteristic, complemented, Sylow
868C22×#41—891no—
869C24×C4—891no—
870#539—1788no—
871C2×#126—891no—
872C2×#126—891no—
873C2×#125—891no—
874C2×#125—891no—
875#525—1788no—
876C2×#123—891no—
877C2×#123—891no—
878C2×#123—891no—
879C2×#123—891no—
880C2×#123—891no—
881C2×#123—891no—
882C2×#123—891no—
883C2×#123—891no—
884C2×#123—891no—
885C2×C22⋊Q8—891no—
886C2×C22⋊Q8—891no—
887C2×C22⋊Q8—891no—
888C2×C22⋊Q8—891no—
889C2×C22⋊Q8—891no—
890C2×C22⋊Q8—891no—
891C2×C22⋊Q8—891no—
892C2×C22⋊Q8—891no—
893C2×#121—891no—
894C2×#121—891no—
895C2×#121—891no—
896C2×#121—891no—
897C2×#120—891no—
898C2×#120—891no—
899C2×#120—891no—
900C2×C4×D4—891no—
901C2×C4×D4—891no—
902C2×C4×D4—891no—
903C2×C4×D4C2×D8911yescharacteristic
904C2×C4×D4C2×D8911yescharacteristic, complemented
905C2×#117—891no—
906C22×C4⋊C4—891no—
907#400—891no—
908#399—891no—
909#398—891no—
910#398—891no—
911#398—891no—
912#398—891no—
913#398—891no—
914#398—891no—
915#398—891no—
916#397—891no—
917#397—891no—
918#397—891no—
919#397—891no—
920#397—891no—
921#397—891no—
922#397C2×D8911yescharacteristic, complemented
923#396—891no—
924#396—891no—
925#396—891no—
926#396—891no—
927#396—891no—
928#396—891no—
929#396—891no—
930#396—891no—
931#396—891no—
932#396—891no—
933#395—891no—
934#395—891no—
935#395—891no—
936#394—891no—
937#394—891no—
938#394—891no—
939#394—891no—
940#394—891no—
941#394—891no—
942#394—891no—
943#394—891no—
944#394—891no—
945#394—891no—
946#394—891no—
947#394C2×D8911yescharacteristic
948#394C2×D8911yescharacteristic, complemented
949#393—891no—
950#392—891no—
951#392—891no—
952#392—891no—
953#392—891no—
954#392C2×D8911yescharacteristic
955#391—891no—
956#390—891no—
957#390—891no—
958#390—891no—
959#390—891no—
960#390—891no—
961#390—891no—
962#390—891no—
963#390—891no—
964#389—891no—
965#389—891no—
966#389—891no—
967#389—891no—
968#389—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388—891no—
974#388—891no—
975#388—891no—
976#388—891no—
977#388—891no—
978#388—891no—
979#388C2×D8911yescharacteristic
980#388C2×D8911yescharacteristic, complemented
981#387—891no—
982#387—891no—
983#387C2×D8911yescharacteristic, complemented
984#387C2×D8911yescharacteristic, complemented
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#386C2×D8911yescharacteristic
994#386C2×D8911yescharacteristic
995#385—891no—
996#385—891no—
997#385—891no—
998#385—891no—
999#385—891no—
1000#385—891no—
1001#385—891no—
1002#385—891no—
1003#385—891no—
1004#385—891no—
1005#385—891no—
1006#385—891no—
1007#385—891no—
1008#385—891no—
1009#385C2×D8911yescharacteristic
1010#385C2×D8911yescharacteristic, complemented
1011#384—891no—
1012#382—891no—
1013#381—891no—
1014#381—891no—
1015#381C2×D8911yescharacteristic, complemented
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#379—891no—
1021#379—891no—
1022#379—891no—
1023C4×C4⋊C4—891no—
1024#376—891no—
1025C25—891no—
1026C2×#41—3562no—
1027C2×#41—3562no—
1028C2×#41—1784no—
1029C22×Q8—891no—
1030C22×Q8—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C23×C4—891no—
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—3562no—
1052C23×C4—3562no—
1053C23×C4—1784no—
1054C23×C4C22×D8911yescharacteristic
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057#126—1784no—
1058#126—1784no—
1059#125—1784no—
1060#125—1784no—
1061#123—3562no—
1062#123—3562no—
1063#123—3562no—
1064#123—1784no—
1065#123—1784no—
1066#123—1784no—
1067#123—1784no—
1068#123—1784no—
1069#123—1784no—
1070C22⋊Q8—3562no—
1071C22⋊Q8—3562no—
1072C22⋊Q8—3562no—
1073C22⋊Q8—1784no—
1074C22⋊Q8—1784no—
1075C22⋊Q8—1784no—
1076C22⋊Q8—1784no—
1077C22⋊Q8—1784no—
1078#121—3562no—
1079#121—1784no—
1080#121—1784no—
1081#121—1784no—
1082#120—3562no—
1083#120—1784no—
1084#120—1784no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—898no—
1088C4×D4—1784no—
1089C4×D4—1784no—
1090#117—1784no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4—891no—
1103C2×C4⋊C4—891no—
1104C2×C4⋊C4—891no—
1105C2×C4⋊C4—891no—
1106C2×C4⋊C4—891no—
1107C2×C4⋊C4—891no—
1108C2×C4⋊C4—891no—
1109C2×C4⋊C4—891no—
1110C2×C4⋊C4—891no—
1111C2×C4⋊C4—891no—
1112C2×C4⋊C4—891no—
1113C2×C4⋊C4—891no—
1114C2×C4⋊C4—891no—
1115C2×C4⋊C4—891no—
1116C2×C4⋊C4—891no—
1117C2×C4⋊C4—891no—
1118C2×C4⋊C4—891no—
1119C2×C4⋊C4—891no—
1120C2×C4⋊C4—891no—
1121C2×C4⋊C4—891no—
1122C2×C4⋊C4—891no—
1123C2×C4⋊C4—891no—
1124C2×C4⋊C4—1784no—
1125C2×C4⋊C4C22×D8911yescharacteristic
1126C2×C4⋊C4C22×D8911yescharacteristic
1127C2×C4⋊C4C22×D8911yescharacteristic
1128C2×C4⋊C4C22×D8911yescharacteristic
1129C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—891no—
1146C2×C22⋊C4—891no—
1147C2×C22⋊C4—891no—
1148C2×C22⋊C4—891no—
1149C2×C22⋊C4—891no—
1150C2×C22⋊C4—891no—
1151C2×C22⋊C4—891no—
1152C2×C22⋊C4—891no—
1153C2×C22⋊C4—891no—
1154C2×C22⋊C4—891no—
1155C2×C22⋊C4—891no—
1156C2×C22⋊C4—891no—
1157C2×C22⋊C4—891no—
1158C2×C22⋊C4—891no—
1159C2×C22⋊C4—891no—
1160C2×C22⋊C4—891no—
1161C2×C22⋊C4—891no—
1162C2×C22⋊C4—891no—
1163C2×C22⋊C4—891no—
1164C2×C22⋊C4—891no—
1165C2×C22⋊C4—891no—
1166C2×C22⋊C4—891no—
1167C2×C22⋊C4—891no—
1168C2×C22⋊C4—891no—
1169C2×C22⋊C4—891no—
1170C2×C22⋊C4C22×D8911yescharacteristic
1171C2×C22⋊C4C22×D8911yescharacteristic
1172C2×C22⋊C4C22×D8911yescharacteristic
1173C2×C22⋊C4C22×D8911yescharacteristic
1174C2×C22⋊C4C22×D8911yescharacteristic
1175C2×C22⋊C4C22×D8911yescharacteristic
1176C2×C22⋊C4C22×D8911yescharacteristic
1177C2×C22⋊C4C22×D8911yescharacteristic
1178C2×C22⋊C4C22×D8911yescharacteristic
1179C2×C22⋊C4C22×D8911yescharacteristic
1180C2×C22⋊C4C22×D8911yescharacteristic
1181C2×C22⋊C4C22×D8911yescharacteristic
1182C2×C42—891no—
1183C2×C42—891no—
1184C2×C42—891no—
1185C2×C42—891no—
1186C2×C42—891no—
1187C2×C42C22×D8911yescharacteristic
1188C2×C42C22×D8911yescharacteristic
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#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95—891no—
1205#95—891no—
1206#95—891no—
1207#95—891no—
1208#95—891no—
1209#95—891no—
1210#95—891no—
1211#95C22×D8911yescharacteristic
1212#95C22×D8911yescharacteristic
1213#95C22×D8911yescharacteristic
1214#95C22×D8911yescharacteristic
1215#95C22×D8911yescharacteristic
1216#95C22×D8911yescharacteristic
1217#95C22×D8911yescharacteristic
1218#95C22×D8911yescharacteristic
1219#95C22×D8911yescharacteristic
1220#95C22×D8911yescharacteristic
1221C24—891no—
1222C24—891no—
1223C24—891no—
1224C24—3561no—
1225C24—3561no—
1226C24—3561no—
1227C24—3561no—
1228C24—1782no—
1229C24—1782no—
1230C24—1782no—
1231C24C23×D8911yescharacteristic
1232C24C23×D8911yescharacteristic
1233C24C23×D8911yescharacteristic
1234#41—35616no—
1235C2×Q8—3561no—
1236C2×Q8—3561no—
1237C2×Q8—3561no—
1238C2×Q8—1782no—
1239C2×Q8—1782no—
1240C2×Q8—1782no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—894no—
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—1782no—
1267C2×D4—1782no—
1268C2×D4—1782no—
1269C2×D4—1782no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C2×D4—1782no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—891no—
1286C22×C4—891no—
1287C22×C4—891no—
1288C22×C4—891no—
1289C22×C4—894no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—35616no—
1306C22×C4—3561no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—3561no—
1310C22×C4—3561no—
1311C22×C4—1782no—
1312C22×C4—1782no—
1313C22×C4—1782no—
1314C22×C4—1782no—
1315C22×C4—1782no—
1316C22×C4—1782no—
1317C22×C4—1782no—
1318C22×C4—1782no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4D4×D8914yes—
1324C22×C4C23×D8911yescharacteristic
1325C22×C4C23×D8911yescharacteristic
1326C22×C4C23×D8911yescharacteristic
1327C22×C4C23×D8911yescharacteristic
1328C22×C4C23×D8911yescharacteristic
1329C22×C4C23×D8911yescharacteristic
1330C22×C4C23×D8911yescharacteristic
1331C22×C4C23×D8911yescharacteristic
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—894no—
1342C4⋊C4—3561no—
1343C4⋊C4—3561no—
1344C4⋊C4—3561no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—1782no—
1356C4⋊C4—1782no—
1357C4⋊C4—1782no—
1358C4⋊C4—1782no—
1359C4⋊C4—1782no—
1360C4⋊C4—1782no—
1361C4⋊C4—1782no—
1362C4⋊C4—1782no—
1363C4⋊C4—1782no—
1364C4⋊C4—1782no—
1365C4⋊C4—1782no—
1366C4⋊C4—1782no—
1367C4⋊C4—1782no—
1368C4⋊C4—1782no—
1369C4⋊C4—1782no—
1370C4⋊C4—1782no—
1371C4⋊C4—1782no—
1372C4⋊C4—1782no—
1373C4⋊C4—1782no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—894no—
1387C22⋊C4—894no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—3561no—
1408C22⋊C4—3561no—
1409C22⋊C4—3561no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C22⋊C4—1782no—
1418C22⋊C4—1782no—
1419C22⋊C4—1782no—
1420C22⋊C4—1782no—
1421C22⋊C4—1782no—
1422C22⋊C4—1782no—
1423C22⋊C4—1782no—
1424C22⋊C4—1782no—
1425C22⋊C4—1782no—
1426C42—22no—
1427C42—22no—
1428C42—894no—
1429C42—3561no—
1430C42—3561no—
1431C42—3561no—
1432C42—3561no—
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—21no—
1450C23—21no—
1451C23—21no—
1452C23—892no—
1453C23—892no—
1454C23—3564no—
1455C23—3564no—
1456C23—3564no—
1457C23—3564no—
1458C23—3564no—
1459C23—3564no—
1460C23—3564no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1781no—
1467C23—1781no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23C2×D4×D8912yes—
1481C23#1566805912yes—
1482C23C24×D8911yescharacteristic
1483Q8—3564no—
1484Q8—7122no—
1485D4—44no—
1486D4—44no—
1487D4—82no—
1488D4—3564no—
1489D4—3564no—
1490D4—3564no—
1491D4—3564no—
1492D4—3564no—
1493D4—3564no—
1494D4—7122no—
1495D4—7122no—
1496D4—7122no—
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—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—892no—
1535C2×C4—892no—
1536C2×C4—892no—
1537C2×C4—892no—
1538C2×C4—3564no—
1539C2×C4—3564no—
1540C2×C4—3564no—
1541C2×C4—3564no—
1542C2×C4—3564no—
1543C2×C4—3564no—
1544C2×C4—1788no—
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—1781no—
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—1781no—
1569C2×C4—1781no—
1570C2×C4—1781no—
1571C2×C4—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—1781no—
1576C2×C4—1781no—
1577C2×C4—1781no—
1578C2×C4—1781no—
1579C2×C4—1781no—
1580C2×C4—7122no—
1581C2×C4C2×D4×D8912yes—
1582C2×C4C2×D4×D8912yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
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—35616no—
1605C22—3561no—
1606C22—3561no—
1607C22—3561no—
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—1782no—
1621C22—1782no—
1622C22—1782no—
1623C22—1782no—
1624C22—1782no—
1625C22—1782no—
1626C22C22×D4×D8911yescharacteristic
1627C22H(5,𝔽2)×D8911yescharacteristic
1628C22H(5,𝔽2)×D8911yescharacteristic
1629C22C2×#1566805911yescharacteristic
1630C22#1915243411yescharacteristic
1631C22#1915243411yescharacteristic
1632C22#1915243411yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—1782no—
1655C4—1782no—
1656C4—1782no—
1657C4—1782no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—3562no—
1662C2—3562no—
1663C2—7121no—
1664C2#2603358211yescharacteristic
1665C2#2603388411yescharacteristic
1666C2#2603392411yescharacteristic
1667C2#2603442611yescharacteristic
1668C2#2603444811yescharacteristic
1669C2#2603450211yescharacteristic
1670C2#2603453011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2600C2
hypercenter#2600D89
hypocenterC89#36723
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2600

Complements

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

NH ≅ G/Ntype
1. C2×#19152190C2semidirect
2. C2×#19152107C2semidirect
3. #26028543C2semidirect
4. #26028538C2semidirect
5. #26026956C2semidirect
6. #26026945C2semidirect
7. #26026911C2semidirect
8. #26026900C2semidirect
9. #26026870C2semidirect
10. #26026827C2semidirect
11. #26026818C2semidirect
12. #26026646C2semidirect
13. #26026625C2semidirect
14. #26026620C2semidirect
15. #26026610C2semidirect
16. #26026605C2semidirect
17. #26026594C2semidirect
18. #26026588C2semidirect
19. #26026578C2semidirect
20. #26026570C2semidirect
21. #26026176C2semidirect
22. #26026099C2semidirect
23. #26025948C2semidirect
24. #26025876C2semidirect
25. #26025855C2semidirect
26. #26025595C2semidirect
27. #26025450C2semidirect
28. #26023597C2semidirect
29. #26023589C2semidirect
30. #26022892C2semidirect
31. C89×#2600C2semidirect
36. C2×#15668005C22semidirect
37. C2×#15668004C22semidirect
38. C2×#15668002C22semidirect
43. C2×#15667996C22semidirect
48. C2×#15667993C22semidirect
49. C2×#15667991C22semidirect
50. C2×#15667991C22semidirect
56. C2×#15667989C22semidirect
68. C22×#13083553C22semidirect
69. #19151539C22semidirect
71. #19151532C22semidirect
72. #19151532C22semidirect
73. #19151532C22semidirect
74. #19151531C22semidirect
75. #19151531C22semidirect
76. #19151531C22semidirect
77. #19151530C22semidirect
80. #19151527C22semidirect
81. #19151526C22semidirect
84. #19151522C22semidirect
89. #19151521C22semidirect
90. #19151521C22semidirect
92. #19151520C22semidirect
93. #19151520C22semidirect
94. #19151519C22semidirect
95. #19151519C22semidirect
96. #19151519C22semidirect
106. #19151513C22semidirect
107. #19151513C22semidirect
108. #19151511C22semidirect
112. #19151506C22semidirect
113. #19151504C22semidirect
121. #19151498C22semidirect
122. #19151495C22semidirect
123. #19151495C22semidirect
124. #19151495C22semidirect
125. #19151494C22semidirect
126. #19151494C22semidirect
127. #19151492C22semidirect
128. #19151492C22semidirect
133. #19151490C22semidirect
136. #19151486C22semidirect
137. #19151482C22semidirect
138. #19151482C22semidirect
143. #19151475C22semidirect
146. #19151474C22semidirect
152. #19151472C22semidirect
153. #19151472C22semidirect
156. #19151470C22semidirect
157. #19151470C22semidirect
160. #19151469C22semidirect
161. #19151467C22semidirect
162. #19151462C22semidirect
165. #19151458C22semidirect
172. #19151449C22semidirect
173. #19151443C22semidirect
175. C2×C4×D4×C89C22semidirect
176. #397×C89C22semidirect
178. #394×C89C22semidirect
181. #388×C89C22semidirect
182. #387×C89C22semidirect
183. #387×C89C22semidirect
187. #385×C89C22semidirect
188. #381×C89C22semidirect
245. C4×C22⋊D89D4semidirect
861. #2600D89semidirect
867. C89#36723semidirect
904. C2×C4×D4C2×D89semidirect
922. #397C2×D89semidirect
948. #394C2×D89semidirect
980. #388C2×D89semidirect
983. #387C2×D89semidirect
984. #387C2×D89semidirect
1010. #385C2×D89semidirect
1015. #381C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521902
C2×#191521072
#260285432
#260285382
#260269562
#260269452
#260269112
#260269002
#260268702
#260268272
#260268182
#260266462
#260266252
#260266202
#260266102
#260266052
#260265942
#260265882
#260265782
#260265702
#260261762
#260260992
#260259482
#260258762
#260258552
#260255952
#260254502
#260235972
#260235892
#260228922
C89×#26002
#3672389