Finite Group Databasebeta

← #36723242

Subgroups — #36723242

Order 22784.

2668 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152125C211yesmaximal, characteristic, complemented
2C22×#15667970C211yesmaximal, characteristic, complemented
3#26024512C211yesmaximal, characteristic, complemented
4#26024505C211yesmaximal, characteristic, complemented
5#26024478C211yesmaximal, characteristic, complemented
6#26024471C211yesmaximal, characteristic, complemented
7#26024446C211yesmaximal, characteristic, complemented
8#26024439C211yesmaximal, characteristic, complemented
9#26024421C211yesmaximal, characteristic, complemented
10#26024414C211yesmaximal, characteristic, complemented
11#26024387C211yesmaximal, characteristic, complemented
12#26024380C211yesmaximal, characteristic, complemented
13#26024359C211yesmaximal, characteristic, complemented
14#26024352C211yesmaximal, characteristic, complemented
15#26024067C211yesmaximal, characteristic, complemented
16#26023794C211yesmaximal, characteristic
17#26023708C211yesmaximal, characteristic, complemented
18#26023529C211yesmaximal, characteristic, complemented
19#26023517C211yesmaximal, characteristic, complemented
20#26023514C211yesmaximal, characteristic, complemented
21#26023491C211yesmaximal, characteristic, complemented
22#26022784C211yesmaximal, characteristic, complemented
23#121×Dic89C211yesmaximal, characteristic, complemented
24#26022757C211yesmaximal, characteristic, complemented
25#26022757C211yesmaximal, characteristic, complemented
26#26022744C211yesmaximal, characteristic, complemented
27#26022712C211yesmaximal, characteristic, complemented
28#26022692C211yesmaximal, characteristic, complemented
29#26022688C211yesmaximal, characteristic, complemented
30C4×D4×Dic89C211yesmaximal, characteristic, complemented
31C89×#2443C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33#19152125—28no—
34C2×#15668007C2211yescharacteristic
35C2×#15668005C2211yescharacteristic, complemented
36C2×#15668002C2211yescharacteristic, complemented
37C2×#15667998C2211yescharacteristic
38C2×#15667995C2211yescharacteristic
39C2×#15667989C2211yescharacteristic
40C2×#15667989C2211yescharacteristic, complemented
41C2×#15667984C2211yescharacteristic
42C2×#15667980C2211yescharacteristic
43C2×#15667980C2211yescharacteristic
44C2×#15667977C2211yescharacteristic, complemented
45C2×D4×Dic89C2211yescharacteristic
46C2×D4×Dic89C2211yescharacteristic
47C2×D4×Dic89C2211yescharacteristic
48C2×D4×Dic89C2211yescharacteristic, complemented
49C2×#15667972C2211yescharacteristic
50C2×#15667972C2211yescharacteristic
51C2×#15667972C2211yescharacteristic
52C2×#15667972C2211yescharacteristic
53C2×#15667970—28no—
54C2×#15667970C2211yescharacteristic
55C2×#15667970C2211yescharacteristic
56C2×#15667970C2211yescharacteristic
57C2×#15667970C2211yescharacteristic
58C2×#15667970C2211yescharacteristic
59C2×#15667970C2211yescharacteristic
60C2×#15667970C2211yescharacteristic
61C2×#15667970C2211yescharacteristic
62C2×#15667968C2211yescharacteristic, complemented
63C22×C4⋊Dic89C2211yescharacteristic
64C22×#13083551C2211yescharacteristic
65C22×#13083551C2211yescharacteristic
66C22×C4×Dic89C2211yescharacteristic
67C22×C4×Dic89C2211yescharacteristic
68C22×C4×Dic89C2211yescharacteristic, complemented
69#19151540C2211yescharacteristic, complemented
70#19151538C2211yescharacteristic, complemented
71#19151536C2211yescharacteristic, complemented
72#19151534C2211yescharacteristic, complemented
73#19151533C2211yescharacteristic
74#19151531C2211yescharacteristic, complemented
75#19151530C2211yescharacteristic, complemented
76#19151529C2211yescharacteristic, complemented
77#19151528C2211yescharacteristic, complemented
78#19151527C2211yescharacteristic
79#19151527C2211yescharacteristic
80#19151525C2211yescharacteristic
81#19151524C2211yescharacteristic
82#19151524C2211yescharacteristic
83#19151523C2211yescharacteristic, complemented
84#19151521C2211yescharacteristic, complemented
85#19151521C2211yescharacteristic, complemented
86#19151520C2211yescharacteristic
87#19151520C2211yescharacteristic
88#19151519C2211yescharacteristic, complemented
89#19151514C2211yescharacteristic
90#19151514C2211yescharacteristic
91#19151513C2211yescharacteristic
92#19151513C2211yescharacteristic
93#19151513C2211yescharacteristic
94#19151513C2211yescharacteristic
95#19151511C2211yescharacteristic
96#19151506C2211yescharacteristic
97#19151502C2211yescharacteristic, complemented
98#19151501C2211yescharacteristic, complemented
99#19151498C2211yescharacteristic
100#19151498C2211yescharacteristic
101#19151497C2211yescharacteristic, complemented
102#19151495C2211yescharacteristic, complemented
103#19151493C2211yescharacteristic, complemented
104#19151493C2211yescharacteristic, complemented
105#19151492C2211yescharacteristic, complemented
106#19151491C2211yescharacteristic, complemented
107#19151491C2211yescharacteristic, complemented
108#19151491C2211yescharacteristic, complemented
109#19151490C2211yescharacteristic
110#19151490C2211yescharacteristic
111#19151489C2211yescharacteristic
112#19151489C2211yescharacteristic
113#19151488C2211yescharacteristic
114#19151488C2211yescharacteristic
115#19151487C2211yescharacteristic
116#19151487C2211yescharacteristic
117#19151486C2211yescharacteristic, complemented
118#19151485C2211yescharacteristic, complemented
119#19151484C2211yescharacteristic, complemented
120#19151483C2211yescharacteristic, complemented
121#19151483C2211yescharacteristic, complemented
122#19151483C2211yescharacteristic, complemented
123#19151481C2211yescharacteristic, complemented
124#19151481C2211yescharacteristic, complemented
125#19151479C2211yescharacteristic, complemented
126#19151479C2211yescharacteristic, complemented
127#19151478C2211yescharacteristic
128#19151478C2211yescharacteristic
129#19151478C2211yescharacteristic
130#19151477C2211yescharacteristic
131#19151475C2211yescharacteristic
132#19151474C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151473C2211yescharacteristic, complemented
137#19151472C2211yescharacteristic
138#19151472C2211yescharacteristic
139#19151472C2211yescharacteristic
140#19151472C2211yescharacteristic
141#19151471C2211yescharacteristic
142#19151471C2211yescharacteristic
143#19151471C2211yescharacteristic
144#19151471C2211yescharacteristic
145#19151470C2211yescharacteristic
146#19151458C2211yescharacteristic
147#19151456C2211yescharacteristic
148#19151453C2211yescharacteristic
149#19151453C2211yescharacteristic
150C4⋊C4×Dic89C2211yescharacteristic, complemented
151C4⋊C4×Dic89C2211yescharacteristic, complemented
152C4⋊C4×Dic89C2211yescharacteristic, complemented
153C4⋊C4×Dic89C2211yescharacteristic, complemented
154C4×C4⋊Dic89C2211yescharacteristic, complemented
155#19151449C2211yescharacteristic, complemented
156#19151449C2211yescharacteristic, complemented
157#19151449C2211yescharacteristic, complemented
158C22⋊C4×Dic89C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic
160C22⋊C4×Dic89C2211yescharacteristic
161C22⋊C4×Dic89C2211yescharacteristic, complemented
162C22⋊C4×Dic89C2211yescharacteristic, complemented
163C22⋊C4×Dic89C2211yescharacteristic, complemented
164C22⋊C4×Dic89C2211yescharacteristic, complemented
165C22⋊C4×Dic89C2211yescharacteristic, complemented
166C4×C22⋊Dic89C2211yescharacteristic
167C4×C22⋊Dic89C2211yescharacteristic, complemented
168#19151445C2211yescharacteristic
169#19151445C2211yescharacteristic
170#19151445C2211yescharacteristic
171#19151445C2211yescharacteristic
172#19151443C2211yescharacteristic, complemented
173C42×Dic89C2211yescharacteristic, complemented
174C2×#123×C89C2211yescharacteristic, complemented
175C2×#121×C89C2211yescharacteristic
176C2×C4×D4×C89C2211yescharacteristic
177C22×C4⋊C4×C89C2211yescharacteristic
178#399×C89C2211yescharacteristic, complemented
179#398×C89C2211yescharacteristic, complemented
180#397×C89C2211yescharacteristic, complemented
181#394×C89C2211yescharacteristic, complemented
182#388×C89C2211yescharacteristic, complemented
183#387×C89C2211yescharacteristic, complemented
184#386×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic
186#386×C89C2211yescharacteristic
187#385×C89C2211yescharacteristic
188#385×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C22×Dic178C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89—24no—
202C22×C4×D89—24no—
203C22×C4×D89—24no—
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208#15668007—24no—
209#15668005—24no—
210#15668002—24no—
211#15667998—24no—
212#15667995—24no—
213#15667989—24no—
214#15667989—24no—
215#15667984—24no—
216#15667980—24no—
217#15667980—24no—
218#15667977—24no—
219D4×Dic89—24no—
220D4×Dic89—24no—
221D4×Dic89—24no—
222D4×Dic89—24no—
223#15667972—24no—
224#15667972—24no—
225#15667972—24no—
226#15667972—24no—
227#15667970—24no—
228#15667970—24no—
229#15667970—24no—
230#15667970—24no—
231#15667970—24no—
232#15667970—24no—
233#15667970—24no—
234#15667970D418yescomplemented
235#15667968—24no—
236C2×C4⋊Dic89—24no—
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
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×#13083551—24no—
275C2×#13083551—24no—
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×C4×Dic89—24no—
297C2×C4×Dic89—24no—
298C2×C4×Dic89—24no—
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C2×C4×Dic89C2311yescharacteristic
314C2×C4×Dic89C2311yescharacteristic
315C2×C4×Dic89C2311yescharacteristic
316C2×C4×Dic89C2311yescharacteristic
317C2×C4×Dic89C2311yescharacteristic
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
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346C22×D4×C89C2311yescharacteristic
347C22×D4×C89C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C23×C4×C89C2311yescharacteristic
350C23×C4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353#123×C89—24no—
354#121×C89—24no—
355C4×D4×C89—24no—
356C2×C4⋊C4×C89—24no—
357C2×C4⋊C4×C89C2311yescharacteristic
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C4⋊C4×C89C2311yescharacteristic
360C2×C4⋊C4×C89C2311yescharacteristic
361C2×C4⋊C4×C89C2311yescharacteristic
362C2×C4⋊C4×C89C2311yescharacteristic
363C2×C4⋊C4×C89C2311yescharacteristic
364C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C42×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—22no—
389C23×D89—22no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C2×Dic178—22no—
395C2×Dic178—22no—
396C2×Dic178—41no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C22×Dic89—22no—
410C22×Dic89—22no—
411C22×Dic89—22no—
412C22×Dic89—22no—
413C22×Dic89—22no—
414C22×Dic89—22no—
415C22×Dic89—22no—
416C22×Dic89—22no—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—41no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89#4114yes—
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C2×C4×D89—232no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—22no—
446C2×C4×D89—22no—
447C2×C4×D89—22no—
448C2×C4×D89—22no—
449C2×C4×D89—22no—
450C2×C4×D89—22no—
451C2×C4×D89—22no—
452C2×C4×D89C2×D414yes—
453C2×C4×D89#4114yes—
454C4⋊Dic89—22no—
455C4⋊Dic89—22no—
456C4⋊Dic89—22no—
457C4⋊Dic89—22no—
458C4⋊Dic89—22no—
459C4⋊Dic89—22no—
460C4⋊Dic89—22no—
461C4⋊Dic89—22no—
462C4⋊Dic89—41no—
463C4⋊Dic89C2×D414yes—
464#13083553—22no—
465#13083553—22no—
466#13083553—22no—
467#13083553—22no—
468#13083553—22no—
469#13083553—22no—
470#13083553—22no—
471#13083553—22no—
472#13083553—22no—
473#13083553—22no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478C22⋊Dic89—22no—
479C22⋊Dic89—22no—
480C22⋊Dic89—22no—
481C22⋊Dic89—22no—
482C22⋊Dic89—22no—
483C22⋊Dic89—22no—
484C22⋊Dic89—22no—
485C22⋊Dic89—22no—
486C22⋊Dic89—22no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89#4114yes—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—22no—
502#13083551—22no—
503#13083551—22no—
504#13083551—22no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551C2×D414yes—
510#13083551C2×D414yes—
511C4×Dic89—22no—
512C4×Dic89—22no—
513C4×Dic89—22no—
514C4×Dic89—22no—
515C4×Dic89—22no—
516C4×Dic89—22no—
517C4×Dic89—22no—
518C4×Dic89—22no—
519C4×Dic89—22no—
520C4×Dic89—22no—
521C4×Dic89—22no—
522C4×Dic89—22no—
523C4×Dic89—22no—
524C4×Dic89—22no—
525C4×Dic89—22no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C4×Dic89C2×D414yes—
529C4×Dic89C2×D414yes—
530C24×C89C2411yescharacteristic
531C24×C89C2411yescharacteristic
532C24×C89C2411yescharacteristic
533C2×D4×C89—22no—
534C2×D4×C89—22no—
535C2×D4×C89—22no—
536C2×D4×C89—22no—
537C2×D4×C89—22no—
538C2×D4×C89—22no—
539C2×D4×C89—22no—
540C2×D4×C89—41no—
541C2×D4×C89#4114yes—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—22no—
546C22×C4×C89—22no—
547C22×C4×C89—22no—
548C22×C4×C89—22no—
549C22×C4×C89—22no—
550C22×C4×C89—22no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C4⋊C4×C89—22no—
567C4⋊C4×C89—22no—
568C4⋊C4×C89—22no—
569C4⋊C4×C89—22no—
570C4⋊C4×C89—22no—
571C4⋊C4×C89—22no—
572C4⋊C4×C89—41no—
573C4⋊C4×C89C2×D414yes—
574C22⋊C4×C89—22no—
575C22⋊C4×C89—22no—
576C22⋊C4×C89—22no—
577C22⋊C4×C89—22no—
578C22⋊C4×C89—22no—
579C22⋊C4×C89—22no—
580C22⋊C4×C89—22no—
581C22⋊C4×C89—22no—
582C22⋊C4×C89—22no—
583C22⋊C4×C89—22no—
584C22⋊C4×C89—41no—
585C42×C89—22no—
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×C89C2×#4112yes—
604C23×C89C2×#4112yes—
605C23×C89C2×#4112yes—
606C23×C89C2×#4112yes—
607C23×C89C2511yescharacteristic
608C22×D89—28no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—44no—
622C22×D89—44no—
623C22×D89—44no—
624C22×D89—44no—
625C22×D89—44no—
626C22×D89—44no—
627C22×D89C22×D412yes—
628C22×D89C2×#4112yes—
629D4×C89—28no—
630D4×C89—44no—
631D4×C89—44no—
632C2×C4×C89—28no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—44no—
665C2×C4×C89—44no—
666C2×C4×C89—44no—
667C2×C4×C89C22×D412yes—
668C2×C4×C89C22×D412yes—
669C2×C4×C89C22×D412yes—
670C2×C4×C89C2×#4112yes—
671C2×C4×C89C2×#4112yes—
672C22⋊D89—44no—
673C22⋊D89—44no—
674C22⋊D89—44no—
675C22⋊D89—44no—
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—28no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—44no—
712C2×Dic89—44no—
713C2×Dic89—44no—
714C2×Dic89—44no—
715C2×Dic89—44no—
716C2×Dic89C22×D412yes—
717C2×Dic89C22×D412yes—
718C2×Dic89C22×D412yes—
719C2×Dic89C2×#4112yes—
720C2×Dic89C2×#4112yes—
721C2×Dic89C2×#4112yes—
722C2×Dic89C2×#4112yes—
723C2×Dic89C2×#4112yes—
724C4×D89—28no—
725C4×D89—28no—
726C4×D89—28no—
727C4×D89—28no—
728Dic178—44no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—22no—
737C22×C89—22no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89#52914yescomplemented
750C22×C89C23×D411yescharacteristic
751C22×C89C22×#4111yescharacteristic
752C22×C89C22×#4111yescharacteristic
753C22×C89C22×#4111yescharacteristic
754C22×C89C22×#4111yescharacteristic
755C22×C89#58511yescharacteristic
756C22×C89#58511yescharacteristic
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—22no—
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—416no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C4×C89—22no—
773C4×C89—22no—
774C4×C89—22no—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784Dic89—22no—
785Dic89—22no—
786Dic89—22no—
787Dic89—22no—
788Dic89—22no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89#52514yes—
798#34740—891nomaximal, Sylow
799C2×C89—24no—
800C2×C89—42no—
801C2×C89—81no—
802C2×C89C2×#52511yescharacteristic
803C2×C89C2×#52911yescharacteristic
804C2×C89#345511yescharacteristic
805C2×C89D4×#4111yescharacteristic
806C2×C89D4×#4111yescharacteristic
807C2×C89#347511yescharacteristic
808C2×C89#347511yescharacteristic
809D89—42no—
810D89—42no—
811C2×#529—891no—
812C22×#117—891no—
813#2481—891no—
814#2480—891no—
815#2479—891no—
816#2478—891no—
817#2477—891no—
818#2476—891no—
819#2475—891no—
820#2474—891no—
821#2473—891no—
822#2472—891no—
823#2471—891no—
824#2470—891no—
825#2449—891no—
826#2443D8911yescharacteristic, complemented
827#2424—891no—
828#2418—891no—
829#2396—891no—
830#2395—891no—
831#2395—891no—
832#2392—891no—
833C4×C22⋊Q8—891no—
834C4×#121—891no—
835C4×#120—891no—
836C4×#120—891no—
837#2298—891no—
838#2293—891no—
839#2290—891no—
840#2290—891no—
841C42×D4—891no—
842C89#3474011yescharacteristic, complemented, Sylow
843C24×C4—891no—
844#529—1788no—
845C2×#126—891no—
846C2×#126—891no—
847C2×#125—891no—
848C2×#124—891no—
849C2×#123—891no—
850C2×#123C2×D8911yescharacteristic, complemented
851C2×C22⋊Q8—891no—
852C2×C22⋊Q8—891no—
853C2×#121—891no—
854C2×#121C2×D8911yescharacteristic
855C2×#120—891no—
856C2×#120—891no—
857C2×C4×Q8—891no—
858C2×C4×D4—891no—
859C2×C4×D4—891no—
860C2×C4×D4—891no—
861C2×C4×D4—891no—
862C2×C4×D4—891no—
863C2×C4×D4—891no—
864C2×C4×D4—891no—
865C2×C4×D4—891no—
866C2×C4×D4C2×D8911yescharacteristic
867C2×#117—891no—
868C2×#117—891no—
869C2×#117—891no—
870C2×#117—891no—
871C2×#117—891no—
872C2×#117—891no—
873C2×#117—891no—
874C2×#117—891no—
875C2×#117—891no—
876C2×#117—1788no—
877C22×C4⋊C4—891no—
878C22×C4⋊C4C2×D8911yescharacteristic
879C22×C22⋊C4—891no—
880C22×C22⋊C4—891no—
881C22×C42—891no—
882C22×C42—891no—
883C22×C42—891no—
884#400—891no—
885#400—891no—
886#400—891no—
887#399—891no—
888#399—891no—
889#399C2×D8911yescharacteristic, complemented
890#398—891no—
891#398—891no—
892#398—891no—
893#398—891no—
894#398C2×D8911yescharacteristic, complemented
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397C2×D8911yescharacteristic, complemented
902#396—891no—
903#396—891no—
904#396—891no—
905#396—891no—
906#395—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394C2×D8911yescharacteristic, complemented
914#393—891no—
915#392—891no—
916#391—891no—
917#390—891no—
918#390—891no—
919#390—891no—
920#389—891no—
921#389—891no—
922#389—891no—
923#389—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388C2×D8911yescharacteristic, complemented
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387—891no—
945#387—891no—
946#387—891no—
947#387C2×D8911yescharacteristic, complemented
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386C2×D8911yescharacteristic
958#386C2×D8911yescharacteristic
959#386C2×D8911yescharacteristic
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385C2×D8911yescharacteristic
971#385C2×D8911yescharacteristic, complemented
972#380—891no—
973#380—891no—
974#379—891no—
975#379—891no—
976C4×C4⋊C4—891no—
977C4×C4⋊C4—891no—
978C4×C4⋊C4—891no—
979C4×C4⋊C4—891no—
980C4×C4⋊C4—891no—
981C4×C4⋊C4—891no—
982C4×C4⋊C4—891no—
983C4×C4⋊C4—891no—
984C4×C22⋊C4—891no—
985C4×C22⋊C4—891no—
986C4×C22⋊C4—891no—
987C4×C22⋊C4—891no—
988C4×C22⋊C4—891no—
989C4×C22⋊C4—891no—
990C4×C22⋊C4—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998#376—891no—
999C43—891no—
1000C25—891no—
1001C22×Q8—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4C22×D8911yescharacteristic
1007C22×D4C22×D8911yescharacteristic
1008C22×D4C22×D8911yescharacteristic
1009C23×C4—891no—
1010C23×C4—891no—
1011C23×C4—891no—
1012C23×C4—891no—
1013C23×C4—891no—
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—1784no—
1020C23×C4—1784no—
1021C23×C4—1784no—
1022C23×C4C22×D8911yescharacteristic
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026#126—1784no—
1027#126—1784no—
1028#125—1784no—
1029#124—1784no—
1030#123—24no—
1031#123—1784no—
1032C22⋊Q8—1784no—
1033C22⋊Q8—1784no—
1034#121—24no—
1035#121—1784no—
1036#120—1784no—
1037#120—1784no—
1038C4×Q8—1784no—
1039C4×D4—24no—
1040C4×D4—1784no—
1041C4×D4—1784no—
1042C4×D4—1784no—
1043C4×D4—1784no—
1044C4×D4—1784no—
1045C4×D4—1784no—
1046C4×D4—1784no—
1047C4×D4—1784no—
1048#117—898no—
1049#117—1784no—
1050#117—1784no—
1051#117—1784no—
1052#117—1784no—
1053#117—1784no—
1054#117—1784no—
1055#117—1784no—
1056#117—1784no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—1784no—
1083C2×C4⋊C4C22×D8911yescharacteristic
1084C2×C4⋊C4C22×D8911yescharacteristic
1085C2×C4⋊C4C22×D8911yescharacteristic
1086C2×C4⋊C4C22×D8911yescharacteristic
1087C2×C4⋊C4C22×D8911yescharacteristic
1088C2×C4⋊C4C22×D8911yescharacteristic
1089C2×C4⋊C4C22×D8911yescharacteristic
1090C2×C4⋊C4C22×D8911yescharacteristic
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—1784no—
1125C2×C22⋊C4—1784no—
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—891no—
1147C2×C42—891no—
1148C2×C42—891no—
1149C2×C42—891no—
1150C2×C42—891no—
1151C2×C42—891no—
1152C2×C42—891no—
1153C2×C42—891no—
1154C2×C42—891no—
1155C2×C42—891no—
1156C2×C42—1784no—
1157C2×C42—1784no—
1158C2×C42—1784no—
1159C2×C42C22×D8911yescharacteristic
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#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#95C22×D8911yescharacteristic
1189#95C22×D8911yescharacteristic
1190#95C22×D8911yescharacteristic
1191#95C22×D8911yescharacteristic
1192#95C22×D8911yescharacteristic
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196C24—891no—
1197C24—891no—
1198C24—3561no—
1199C24—3561no—
1200C24—1782no—
1201C24—1782no—
1202C24—1782no—
1203C24—1782no—
1204C24—1782no—
1205C24C23×D8911yescharacteristic
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—3561no—
1209C2×Q8—1782no—
1210C2×Q8—1782no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4#1308357314yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—891no—
1245C22×C4—894no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—894no—
1252C22×C4—894no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—1782no—
1265C22×C4—1782no—
1266C22×C4—1782no—
1267C22×C4—1782no—
1268C22×C4—1782no—
1269C22×C4—1782no—
1270C22×C4—1782no—
1271C22×C4—1782no—
1272C22×C4—17832no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—894no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—1782no—
1315C4⋊C4—1782no—
1316C4⋊C4—1782no—
1317C4⋊C4—1782no—
1318C4⋊C4—1782no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C4⋊C4—1782no—
1322C4⋊C4—1782no—
1323C4⋊C4—1782no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C4⋊C4D4×D8914yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—894no—
1345C22⋊C4—894no—
1346C22⋊C4—894no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—1782no—
1355C22⋊C4—1782no—
1356C22⋊C4—1782no—
1357C22⋊C4—1782no—
1358C22⋊C4—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C42—22no—
1378C42—894no—
1379C42—894no—
1380C42—3561no—
1381C42—3561no—
1382C42—1782no—
1383C42—1782no—
1384C42—1782no—
1385C42—1782no—
1386C42—1782no—
1387C42—1782no—
1388C42—1782no—
1389C42—1782no—
1390C42—1782no—
1391C42—1782no—
1392C42—1782no—
1393C42—1782no—
1394C42—1782no—
1395C42—1782no—
1396C42—1782no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—892no—
1415C23—892no—
1416C23—3564no—
1417C23—3564no—
1418C23—3564no—
1419C23—3564no—
1420C23—3564no—
1421C23—3564no—
1422C23—1788no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23#41×D8912yes—
1436C23#41×D8912yes—
1437C23C2×#1308357312yes—
1438C23C2×#1308357312yes—
1439C23C24×D8911yescharacteristic
1440Q8—3564no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—3564no—
1445D4—3564no—
1446D4—3564no—
1447D4—3564no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—892no—
1484C2×C4—892no—
1485C2×C4—892no—
1486C2×C4—892no—
1487C2×C4—892no—
1488C2×C4—892no—
1489C2×C4—892no—
1490C2×C4—892no—
1491C2×C4—3564no—
1492C2×C4—3564no—
1493C2×C4—3564no—
1494C2×C4—3564no—
1495C2×C4—3564no—
1496C2×C4—1788no—
1497C2×C4—1788no—
1498C2×C4—1788no—
1499C2×C4—1788no—
1500C2×C4—1788no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4C2×D4×D8912yes—
1536C2×C4C2×D4×D8912yes—
1537C2×C4C2×D4×D8912yes—
1538C2×C4#41×D8912yes—
1539C2×C4C2×#1308357312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—35616no—
1561C22—3561no—
1562C22—3561no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—1782no—
1570C22—1782no—
1571C22—1782no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22#1915212514yescomplemented
1576C22C22×D4×D8911yescharacteristic
1577C22C2×#41×D8911yescharacteristic
1578C22C2×#41×D8911yescharacteristic
1579C22C2×#41×D8911yescharacteristic
1580C22C22×#1308357311yescharacteristic
1581C22#1915243311yescharacteristic
1582C22#1915243511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—894no—
1596C4—3561no—
1597C4—3561no—
1598C4—3561no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—1782no—
1605C4—1782no—
1606C4—1782no—
1607C4—1782no—
1608C4—1782no—
1609C2—24no—
1610C2—42no—
1611C2—81no—
1612C2—3562no—
1613C2—3562no—
1614C2#525×D8911yescharacteristic
1615C2C2×#1915212511yescharacteristic
1616C2#2603363811yescharacteristic
1617C2D4×#1308357311yescharacteristic
1618C2#2603374111yescharacteristic
1619C2#2603381111yescharacteristic
1620C2#2603381511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2443C2
prime radical#26023794C2
hypercenter#2443D89
hypocenterC89#34740
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#19152125C2semidirect
2. C22×#15667970C2semidirect
3. #26024512C2semidirect
4. #26024505C2semidirect
5. #26024478C2semidirect
6. #26024471C2semidirect
7. #26024446C2semidirect
8. #26024439C2semidirect
9. #26024421C2semidirect
10. #26024414C2semidirect
11. #26024387C2semidirect
12. #26024380C2semidirect
13. #26024359C2semidirect
14. #26024352C2semidirect
15. #26024067C2semidirect
17. #26023708C2semidirect
18. #26023529C2semidirect
19. #26023517C2semidirect
20. #26023514C2semidirect
21. #26023491C2semidirect
22. #26022784C2semidirect
23. #121×Dic89C2semidirect
24. #26022757C2semidirect
25. #26022757C2semidirect
26. #26022744C2semidirect
27. #26022712C2semidirect
28. #26022692C2semidirect
29. #26022688C2semidirect
30. C4×D4×Dic89C2semidirect
31. C89×#2443C2semidirect
35. C2×#15668005C22semidirect
36. C2×#15668002C22semidirect
40. C2×#15667989C22semidirect
44. C2×#15667977C22semidirect
48. C2×D4×Dic89C22semidirect
62. C2×#15667968C22semidirect
68. C22×C4×Dic89C22semidirect
69. #19151540C22semidirect
70. #19151538C22semidirect
71. #19151536C22semidirect
72. #19151534C22semidirect
74. #19151531C22semidirect
75. #19151530C22semidirect
76. #19151529C22semidirect
77. #19151528C22semidirect
83. #19151523C22semidirect
84. #19151521C22semidirect
85. #19151521C22semidirect
88. #19151519C22semidirect
97. #19151502C22semidirect
98. #19151501C22semidirect
101. #19151497C22semidirect
102. #19151495C22semidirect
103. #19151493C22semidirect
104. #19151493C22semidirect
105. #19151492C22semidirect
106. #19151491C22semidirect
107. #19151491C22semidirect
108. #19151491C22semidirect
117. #19151486C22semidirect
118. #19151485C22semidirect
119. #19151484C22semidirect
120. #19151483C22semidirect
121. #19151483C22semidirect
122. #19151483C22semidirect
123. #19151481C22semidirect
124. #19151481C22semidirect
125. #19151479C22semidirect
126. #19151479C22semidirect
136. #19151473C22semidirect
150. C4⋊C4×Dic89C22semidirect
151. C4⋊C4×Dic89C22semidirect
152. C4⋊C4×Dic89C22semidirect
153. C4⋊C4×Dic89C22semidirect
154. C4×C4⋊Dic89C22semidirect
155. #19151449C22semidirect
156. #19151449C22semidirect
157. #19151449C22semidirect
161. C22⋊C4×Dic89C22semidirect
162. C22⋊C4×Dic89C22semidirect
163. C22⋊C4×Dic89C22semidirect
164. C22⋊C4×Dic89C22semidirect
165. C22⋊C4×Dic89C22semidirect
167. C4×C22⋊Dic89C22semidirect
172. #19151443C22semidirect
173. C42×Dic89C22semidirect
174. C2×#123×C89C22semidirect
178. #399×C89C22semidirect
179. #398×C89C22semidirect
180. #397×C89C22semidirect
181. #394×C89C22semidirect
182. #388×C89C22semidirect
183. #387×C89C22semidirect
188. #385×C89C22semidirect
234. #15667970D4semidirect
749. C22×C89#529semidirect
826. #2443D89semidirect
842. C89#34740semidirect
850. C2×#123C2×D89semidirect
889. #399C2×D89semidirect
894. #398C2×D89semidirect
901. #397C2×D89semidirect
913. #394C2×D89semidirect
937. #388C2×D89semidirect
947. #387C2×D89semidirect
971. #385C2×D89semidirect
1575. C22#19152125semidirect

Maximal subgroups

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

subgroupindex
C2×#191521252
C22×#156679702
#260245122
#260245052
#260244782
#260244712
#260244462
#260244392
#260244212
#260244142
#260243872
#260243802
#260243592
#260243522
#260240672
#260237942
#260237082
#260235292
#260235172
#260235142
#260234912
#260227842
#121×Dic892
#260227572
#260227442
#260227122
#260226922
#260226882
C4×D4×Dic892
C89×#24432
#3474089