Finite Group Databasebeta

← #36716002

Subgroups — #36716002

Order 22784.

3032 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152249C211yesmaximal, characteristic
2C2×#19152079C211yesmaximal, characteristic, complemented
3C2×C4×#13083574C211yesmaximal, characteristic, complemented
4#26023307C211yesmaximal, characteristic, complemented
5#26023299C211yesmaximal, characteristic, complemented
6#26023298C211yesmaximal, characteristic, complemented
7#26023274C211yesmaximal, characteristic, complemented
8#26023260C211yesmaximal, characteristic, complemented
9#26023251C211yesmaximal, characteristic, complemented
10#26023240C211yesmaximal, characteristic, complemented
11#26023240C211yesmaximal, characteristic, complemented
12#26023237C211yesmaximal, characteristic, complemented
13#26023176C211yesmaximal, characteristic, complemented
14#26023159C211yesmaximal, characteristic, complemented
15#26023121C211yesmaximal, characteristic, complemented
16#26023118C211yesmaximal, characteristic, complemented
17#26023079C211yesmaximal, characteristic, complemented
18#26023079C211yesmaximal, characteristic, complemented
19#26022967C211yesmaximal, characteristic, complemented
20#26022955C211yesmaximal, characteristic, complemented
21#26022951C211yesmaximal, characteristic, complemented
22#26022933C211yesmaximal, characteristic, complemented
23#26022925C211yesmaximal, characteristic, complemented
24#26022921C211yesmaximal, characteristic, complemented
25#26022786C211yesmaximal, characteristic, complemented
26C4×#15667995C211yesmaximal, characteristic, complemented
27#26022773C211yesmaximal, characteristic, complemented
28#26022690C211yesmaximal, characteristic, complemented
29#387×D89C211yesmaximal, characteristic, complemented
30#26022610C211yesmaximal, characteristic, complemented
31C2×#387×C89C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C22×#13083574C2211yescharacteristic
34#19152249C4116yescomplemented
35C2×#15668011C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667995C2211yescharacteristic
39C2×#15667995C2211yescharacteristic
40C2×#15667990C2211yescharacteristic
41C2×#15667990C2211yescharacteristic
42C2×#15667987C2211yescharacteristic
43C2×#15667986C2211yescharacteristic
44#19152079—28no—
45C4×#13083574—28no—
46C2×C4×Dic178C2211yescharacteristic
47C2×C4×Dic178C2211yescharacteristic
48C2×#15667977C2211yescharacteristic
49C2×#15667977C2211yescharacteristic
50C2×C4×D356C2211yescharacteristic
51C2×C4×D356C2211yescharacteristic
52C2×#15667974C2211yescharacteristic
53C2×#15667974C2211yescharacteristic
54C2×#15667974C2211yescharacteristic
55C2×C4×C22⋊D89C2211yescharacteristic
56C2×C4×C22⋊D89C2211yescharacteristic
57C2×C4×C22⋊D89C2211yescharacteristic
58C2×C4×C22⋊D89C2211yescharacteristic
59C2×C4×C22⋊D89C2211yescharacteristic
60C2×C4×C22⋊D89C2211yescharacteristic
61C2×C4×C22⋊D89C2211yescharacteristic
62C2×C4×C22⋊D89C2211yescharacteristic
63C2×C4×C22⋊D89C2211yescharacteristic
64C2×#15667971C2211yescharacteristic
65C2×#15667971C2211yescharacteristic
66C2×#15667970C2211yescharacteristic
67C2×#15667970C2211yescharacteristic
68C2×#15667969C2211yescharacteristic
69C2×#15667969C2211yescharacteristic
70C2×C4⋊C4×D89C2211yescharacteristic
71C2×C4⋊C4×D89C2211yescharacteristic
72C2×C4⋊C4×D89C2211yescharacteristic
73C2×C42×D89C2211yescharacteristic
74C2×C42×D89C2211yescharacteristic
75#19151502C2211yescharacteristic
76#19151502C2211yescharacteristic
77#19151502C2211yescharacteristic
78#19151502C2211yescharacteristic
79#19151497C2211yescharacteristic
80#19151497C2211yescharacteristic
81#19151495C2211yescharacteristic
82#19151495C2211yescharacteristic
83#19151495C2211yescharacteristic
84#19151495C2211yescharacteristic
85#19151493C2211yescharacteristic
86#19151493C2211yescharacteristic
87#19151490C2211yescharacteristic
88#19151490C2211yescharacteristic
89#19151490C2211yescharacteristic
90#19151490C2211yescharacteristic
91#19151489C2211yescharacteristic
92#19151489C2211yescharacteristic
93#19151488C2211yescharacteristic
94#19151488C2211yescharacteristic
95#19151487C2211yescharacteristic
96#19151487C2211yescharacteristic
97#19151487C2211yescharacteristic
98#19151487C2211yescharacteristic
99#19151485C2211yescharacteristic
100#19151485C2211yescharacteristic
101#19151484C2211yescharacteristic
102#19151484C2211yescharacteristic
103#19151484C2211yescharacteristic
104#19151484C2211yescharacteristic
105#19151483C2211yescharacteristic
106#19151483C2211yescharacteristic
107#19151482C2211yescharacteristic
108#19151482C2211yescharacteristic
109#19151481C2211yescharacteristic
110#19151481C2211yescharacteristic
111#19151480C2211yescharacteristic
112#19151480C2211yescharacteristic
113#19151479C2211yescharacteristic
114#19151479C2211yescharacteristic
115#19151477C2211yescharacteristic
116#19151477C2211yescharacteristic
117#19151477C2211yescharacteristic
118#19151477C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151476C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic
127#19151472C2211yescharacteristic
128#19151472C2211yescharacteristic
129#19151472C2211yescharacteristic
130#19151472C2211yescharacteristic
131#19151472C2211yescharacteristic
132#19151472C2211yescharacteristic
133#19151471C2211yescharacteristic
134#19151471C2211yescharacteristic
135#19151469C2211yescharacteristic
136#19151469C2211yescharacteristic
137#19151462C2211yescharacteristic
138#19151461C2211yescharacteristic
139#19151461C2211yescharacteristic
140#19151460C2211yescharacteristic
141#19151460C2211yescharacteristic
142#19151458C2211yescharacteristic
143#19151457C2211yescharacteristic
144#19151457C2211yescharacteristic
145#19151457C2211yescharacteristic
146C4⋊C4×Dic89C2211yescharacteristic
147C4⋊C4×Dic89C2211yescharacteristic
148C4×#13083553C2211yescharacteristic
149C4×#13083553C2211yescharacteristic
150#19151449C2211yescharacteristic
151#19151449C2211yescharacteristic
152#19151449C2211yescharacteristic
153#19151449C2211yescharacteristic
154#19151449C2211yescharacteristic
155#19151449C2211yescharacteristic
156C4×#13083551C2211yescharacteristic
157C4×#13083551C2211yescharacteristic
158C4×C22⋊Dic89C2211yescharacteristic
159C4×C22⋊Dic89C2211yescharacteristic
160C4×C22⋊Dic89C2211yescharacteristic
161#19151445C2211yescharacteristic
162#19151445C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic
168#19151445C2211yescharacteristic
169#19151445C2211yescharacteristic
170#19151443C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#95×D89C2211yescharacteristic
173#95×D89C2211yescharacteristic
174#95×D89C2211yescharacteristic
175C22×C4⋊C4×C89C2211yescharacteristic
176C22×C4⋊C4×C89C2211yescharacteristic
177C22×C42×C89C2211yescharacteristic
178#387×C89C2211yescharacteristic
179#387×C89C2211yescharacteristic
180#387×C89C2211yescharacteristic
181#387×C89C2211yescharacteristic
182#387×C89C2211yescharacteristic
183#387×C89C2211yescharacteristic
184#387×C89C2211yescharacteristic
185#387×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C2×#95×C89C2211yescharacteristic
188C2×#95×C89C2211yescharacteristic
189C2×#95×C89C2211yescharacteristic
190C2×#13083574—24no—
191C2×#13083574—24no—
192C2×#13083574—24no—
193C2×#13083574—24no—
194C2×#13083574C2×C418yescomplemented
195C2×#13083574C2×C418yescomplemented
196C22×Dic178C2311yescharacteristic
197C22×Dic178C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217#15668011C2×C418yescomplemented
218#15667997C2×C418yescomplemented
219#15667997C2×C418yescomplemented
220#15667995C2×C418yescomplemented
221#15667995C2×C418yescomplemented
222#15667990C2×C418yescomplemented
223#15667990C2×C418yescomplemented
224#15667987C2×C418yescomplemented
225#15667986C2×C418yescomplemented
226C4×Dic178—24no—
227C4×Dic178—24no—
228#15667977—24no—
229#15667977—24no—
230C4×D356—24no—
231C4×D356—24no—
232#15667974—24no—
233#15667974—24no—
234#15667974C2×C418yescomplemented
235C4×C22⋊D89—24no—
236C4×C22⋊D89—24no—
237C4×C22⋊D89—24no—
238C4×C22⋊D89—24no—
239C4×C22⋊D89—24no—
240C4×C22⋊D89—24no—
241C4×C22⋊D89—24no—
242C4×C22⋊D89C2×C418yescomplemented
243C4×C22⋊D89D418yescomplemented
244#15667971—24no—
245#15667971—24no—
246#15667970—24no—
247#15667970—24no—
248#15667969—24no—
249#15667969—24no—
250C2×C4⋊Dic89C2311yescharacteristic
251C2×C4⋊Dic89C2311yescharacteristic
252C2×C4⋊Dic89C2311yescharacteristic
253C2×C4⋊Dic89C2311yescharacteristic
254C2×C4⋊Dic89C2311yescharacteristic
255C2×C4⋊Dic89C2311yescharacteristic
256C2×C4⋊Dic89C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
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
274C4⋊C4×D89—24no—
275C4⋊C4×D89—24no—
276C4⋊C4×D89C2×C418yescomplemented
277C2×C22⋊Dic89C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
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
318C2×C4×Dic89C2311yescharacteristic
319C2×C4×Dic89C2311yescharacteristic
320C2×C4×Dic89C2311yescharacteristic
321C2×C4×Dic89C2311yescharacteristic
322C2×C4×Dic89C2311yescharacteristic
323C2×C4×Dic89C2311yescharacteristic
324C42×D89—24no—
325C42×D89—24no—
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
348#15667919C2311yescharacteristic
349#15667919C2311yescharacteristic
350#15667919C2311yescharacteristic
351#15667919C2311yescharacteristic
352#15667919C2311yescharacteristic
353#15667919C2311yescharacteristic
354C23×C4×C89C2311yescharacteristic
355C23×C4×C89C2311yescharacteristic
356C23×C4×C89C2311yescharacteristic
357C23×C4×C89C2311yescharacteristic
358C23×C4×C89C2311yescharacteristic
359C23×C4×C89C2311yescharacteristic
360C23×C4×C89C2311yescharacteristic
361C2×C4⋊C4×C89—24no—
362C2×C4⋊C4×C89C2×C418yescomplemented
363C2×C4⋊C4×C89C2311yescharacteristic
364C2×C4⋊C4×C89C2311yescharacteristic
365C2×C4⋊C4×C89C2311yescharacteristic
366C2×C4⋊C4×C89C2311yescharacteristic
367C2×C4⋊C4×C89C2311yescharacteristic
368C2×C4⋊C4×C89C2311yescharacteristic
369C2×C4⋊C4×C89C2311yescharacteristic
370C2×C4⋊C4×C89C2311yescharacteristic
371C2×C42×C89—24no—
372C2×C42×C89C2311yescharacteristic
373C2×C42×C89C2311yescharacteristic
374C2×C42×C89C2311yescharacteristic
375C2×C42×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
385#95×C89C2311yescharacteristic
386#95×C89C2311yescharacteristic
387#95×C89C2311yescharacteristic
388#95×C89C2311yescharacteristic
389#95×C89C2311yescharacteristic
390#95×C89C2311yescharacteristic
391#95×C89C2311yescharacteristic
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C23×D89C2411yescharacteristic
395#13083574—232no—
396#13083574—232no—
397C2×Dic178—22no—
398C2×Dic178—22no—
399C2×Dic178—22no—
400C2×Dic178—22no—
401C2×Dic178C22×C414yes—
402C2×Dic178C22×C414yes—
403C2×D356—22no—
404C2×D356—22no—
405C2×D356—22no—
406C2×D356—22no—
407C2×D356—41no—
408C2×D356—41no—
409C2×D356C22×C414yes—
410C2×D356C22×C414yes—
411C2×D356C22×C414yes—
412C2×C22⋊D89—22no—
413C2×C22⋊D89—22no—
414C2×C22⋊D89—22no—
415C2×C22⋊D89—22no—
416C2×C22⋊D89C22×C414yes—
417C2×C22⋊D89C22×C414yes—
418C2×C22⋊D89C22×C414yes—
419C2×C22⋊D89C2×D414yes—
420C2×C22⋊D89#4114yes—
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
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—22no—
448C2×C4×D89—22no—
449C2×C4×D89—22no—
450C2×C4×D89—22no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
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×D89—41no—
467C2×C4×D89C22×C414yes—
468C2×C4×D89C22×C414yes—
469C2×C4×D89C22×C414yes—
470C2×C4×D89C22×C414yes—
471C2×C4×D89C22×C414yes—
472C2×C4×D89C2×D414yes—
473C4⋊Dic89—22no—
474C4⋊Dic89—22no—
475C4⋊Dic89—22no—
476C4⋊Dic89—22no—
477C4⋊Dic89—41no—
478C4⋊Dic89—41no—
479C4⋊Dic89C22×C414yes—
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—41no—
489#13083553—41no—
490#13083553—41no—
491#13083553C22×C414yes—
492#13083553C22×C414yes—
493#13083553C22×C414yes—
494#13083553C22×C414yes—
495#13083553C22×C414yes—
496#13083553C2×D414yes—
497C22⋊Dic89—22no—
498C22⋊Dic89—22no—
499C22⋊Dic89—22no—
500C22⋊Dic89C22×C414yes—
501C22⋊Dic89C2×D414yes—
502#13083551—22no—
503#13083551—22no—
504#13083551—22no—
505#13083551—22no—
506#13083551—22no—
507#13083551—22no—
508#13083551—22no—
509#13083551—22no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551C22×C414yes—
518#13083551C22×C414yes—
519#13083551C22×C414yes—
520#13083551C22×C414yes—
521#13083551C22×C414yes—
522#13083551C22×C414yes—
523#13083551C22×C414yes—
524#13083551C2×D414yes—
525C4×Dic89—22no—
526C4×Dic89—22no—
527C4×Dic89—22no—
528C4×Dic89—22no—
529C4×Dic89—22no—
530C4×Dic89—22no—
531C4×Dic89—22no—
532C4×Dic89—22no—
533C4×Dic89—22no—
534C4×Dic89—22no—
535C4×Dic89—22no—
536C4×Dic89—41no—
537C4×Dic89—41no—
538C4×Dic89—41no—
539C4×Dic89—41no—
540C4×Dic89—41no—
541C4×Dic89—41no—
542C4×Dic89C22×C414yes—
543C4×Dic89C2×D414yes—
544C24×C89C2411yescharacteristic
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—22no—
552C22×C4×C89—22no—
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—
561C22×C4×C89—41no—
562C22×C4×C89C22×C414yes—
563C22×C4×C89C22×C414yes—
564C22×C4×C89C22×C414yes—
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
578C22×C4×C89C2411yescharacteristic
579C22×C4×C89C2411yescharacteristic
580C4⋊C4×C89—22no—
581C4⋊C4×C89—22no—
582C4⋊C4×C89—22no—
583C4⋊C4×C89—22no—
584C4⋊C4×C89C22×C414yes—
585C4⋊C4×C89C22×C414yes—
586C4⋊C4×C89C22×C414yes—
587C4⋊C4×C89C22×C414yes—
588C42×C89—22no—
589C42×C89—22no—
590C42×C89—22no—
591C42×C89—22no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89C23×C412yes—
597C23×C89C22×D412yes—
598C23×C89C2×#4112yes—
599C23×C89C2511yescharacteristic
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89C23×C412yes—
617C22×D89C23×C412yes—
618C22×D89C23×C412yes—
619C22×D89C22×D412yes—
620C22×D89C2×#4112yes—
621C2×C4×C89—28no—
622C2×C4×C89—28no—
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×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—44no—
657C2×C4×C89—44no—
658C2×C4×C89—44no—
659C2×C4×C89—82no—
660C2×C4×C89—82no—
661C2×C4×C89C23×C412yes—
662C2×C4×C89C23×C412yes—
663C2×C4×C89C23×C412yes—
664C2×C4×C89C23×C412yes—
665C2×C4×C89C23×C412yes—
666C2×C4×C89C23×C412yes—
667C2×C4×C89C22×D412yes—
668C2×C4×C89C22×D412yes—
669C2×C4×C892−1+412yes—
670C22⋊D89—28no—
671C22⋊D89—28no—
672C22⋊D89C4×D4116yes—
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×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×Dic89C23×C412yes—
704C2×Dic89C23×C412yes—
705C2×Dic89C23×C412yes—
706C2×Dic89C23×C412yes—
707C2×Dic89C23×C412yes—
708C2×Dic89C22×D412yes—
709C2×Dic89C22×D412yes—
710C2×Dic89C22×D412yes—
711C2×Dic89C2×#4112yes—
712D356—28no—
713D356—28no—
714D356—44no—
715C4×D89—28no—
716C4×D89—28no—
717C4×D89—28no—
718C4×D89—28no—
719C4×D89—44no—
720C4×D89—44no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—82no—
725C4×D89—82no—
726C4×D89—82no—
727C4×D89—82no—
728Dic178—28no—
729Dic178—28no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89C2×C4×D414yes—
737C22×C89C24×C411yescharacteristic
738C22×C89C23×D411yescharacteristic
739C22×C89C22×#4111yescharacteristic
740C22×C89C2×2−1+411yescharacteristic
741C22×C89#58511yescharacteristic
742C22×C89#58511yescharacteristic
743C22×C89#58511yescharacteristic
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89C2×C4×D414yes—
765C4×C89—22no—
766C4×C89—22no—
767C4×C89—22no—
768C4×C89—22no—
769C4×C89—22no—
770C4×C89—22no—
771C4×C89—22no—
772C4×C89—22no—
773C4×C89—22no—
774C4×C89—41no—
775C4×C89—41no—
776C4×C89—41no—
777C4×C89—41no—
778C4×C89—41no—
779Dic89—22no—
780Dic89—22no—
781Dic89—22no—
782Dic89—22no—
783Dic89—22no—
784Dic89—22no—
785Dic89—41no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89C2×C4×D414yes—
792#34289—891nomaximal, Sylow
793C2×C89—24no—
794C2×C89C22×C4×D411yescharacteristic
795C2×C89#342811yescharacteristic
796C2×C89C4×2−1+411yescharacteristic
797C2×C89#348511yescharacteristic
798C2×C89#348911yescharacteristic
799C2×C89#351511yescharacteristic
800C2×C89#352111yescharacteristic
801D89—24no—
802D89—42no—
803D89—42no—
804C2×#547—891no—
805C2×#520—891no—
806C2×C4×#41—891no—
807#2365—891no—
808#2364—891no—
809#2364—891no—
810#2362—891no—
811#2360—891no—
812#2359—891no—
813#2359—891no—
814#2359—891no—
815#2359—891no—
816#2352—891no—
817#2349—891no—
818#2344—891no—
819#2344—891no—
820#2339—891no—
821#2339—891no—
822#2327—891no—
823#2325—891no—
824#2325—891no—
825#2323—891no—
826#2322—891no—
827#2322—891no—
828C4×C22⋊Q8—891no—
829C4×#123—891no—
830C4×#123—891no—
831#2290—891no—
832C2×#387—891no—
833C2×#387D8911yescharacteristic, complemented
834#2275—891no—
835C89#3428911yescharacteristic, complemented, Sylow
836C22×#41—891no—
837C22×#41—891no—
838#547—8916no—
839C2×C4⋊Q8—891no—
840C2×#123—891no—
841C2×#123—891no—
842C2×#123—891no—
843C2×#123—891no—
844C2×C22⋊Q8—891no—
845C2×C22⋊Q8—891no—
846C2×#121—891no—
847C2×#121—891no—
848#520—1788no—
849C4×#41—1788no—
850C2×C4×Q8—891no—
851C2×C4×Q8—891no—
852C2×C4×Q8—891no—
853C2×C4×Q8—891no—
854C2×C4×D4—891no—
855C2×C4×D4—891no—
856C2×C4×D4—891no—
857C2×C4×D4—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×D4—891no—
867C2×C4×D4—891no—
868C2×#117—891no—
869C2×#117—891no—
870C2×#117—891no—
871C2×#117—891no—
872C2×#117—891no—
873C2×#117—891no—
874C22×C4⋊C4—891no—
875C22×C4⋊C4—891no—
876C22×C4⋊C4—891no—
877C22×C4⋊C4C2×D8911yescharacteristic
878C22×C4⋊C4C2×D8911yescharacteristic
879C22×C42—891no—
880C22×C42—891no—
881C22×C42C2×D8911yescharacteristic
882#391—891no—
883#391—891no—
884#391—891no—
885#391—891no—
886#389—891no—
887#389—891no—
888#389—891no—
889#389—891no—
890#389—891no—
891#389—891no—
892#389—891no—
893#389—891no—
894#388—891no—
895#388—891no—
896#388—891no—
897#388—891no—
898#388—891no—
899#388—891no—
900#388—891no—
901#388—891no—
902#388—891no—
903#388—891no—
904#388—891no—
905#388—891no—
906#387—891no—
907#387—891no—
908#387—891no—
909#387—891no—
910#387—891no—
911#387—891no—
912#387—891no—
913#387—891no—
914#387—891no—
915#387—891no—
916#387—891no—
917#387—891no—
918#387—891no—
919#387—891no—
920#387—891no—
921#387—891no—
922#387C2×D8911yescharacteristic
923#387C2×D8911yescharacteristic
924#387C2×D8911yescharacteristic
925#387C2×D8911yescharacteristic
926#387C2×D8911yescharacteristic
927#387C2×D8911yescharacteristic
928#387C2×D8911yescharacteristic
929#387C2×D8911yescharacteristic
930#386—891no—
931#386—891no—
932#386—891no—
933#386—891no—
934#386—891no—
935#386—891no—
936#386—891no—
937#386—891no—
938#386—891no—
939#386—891no—
940#386—891no—
941#386—891no—
942#385—891no—
943#385—891no—
944#385—891no—
945#385—891no—
946#385—891no—
947#385—891no—
948#385—891no—
949#385—891no—
950#385—891no—
951#385—891no—
952#382—891no—
953#381—891no—
954#381—891no—
955#381—891no—
956#381—891no—
957#380—891no—
958#380—891no—
959#380—891no—
960#380—891no—
961C4×C4⋊C4—891no—
962C4×C4⋊C4—891no—
963C4×C4⋊C4—891no—
964C4×C4⋊C4—891no—
965C4×C4⋊C4—891no—
966C4×C4⋊C4—891no—
967C4×C4⋊C4—891no—
968C4×C4⋊C4—891no—
969C4×C4⋊C4—891no—
970C4×C4⋊C4—891no—
971C4×C22⋊C4—891no—
972C4×C22⋊C4—891no—
973C4×C22⋊C4—891no—
974C4×C22⋊C4—891no—
975C4×C22⋊C4—891no—
976C4×C22⋊C4—891no—
977C4×C22⋊C4—891no—
978C4×C22⋊C4—891no—
979C4×C22⋊C4—891no—
980C4×C22⋊C4—891no—
981C4×C22⋊C4—891no—
982C4×C22⋊C4—891no—
983C4×C22⋊C4—891no—
984C4×C22⋊C4—891no—
985#376—891no—
986C2×#95—891no—
987C2×#95—891no—
988C2×#95—891no—
989C2×#95—891no—
990C2×#95C2×D8911yescharacteristic
991C2×#95C2×D8911yescharacteristic
992C2×#95C2×D8911yescharacteristic
993C2×#95C2×D8911yescharacteristic
994C2×#41—898no—
995C2×#41—898no—
996C2×#41—1784no—
997C2×#41—1784no—
998C2×#41—1784no—
999C2×#41—1784no—
1000C22×Q8—891no—
1001C22×Q8—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4—891no—
1008C23×C4—891no—
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—891no—
1020C23×C4—891no—
1021C23×C4C22×D8911yescharacteristic
1022C23×C4C22×D8911yescharacteristic
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026C23×C4C22×D8911yescharacteristic
1027C23×C4C22×D8911yescharacteristic
1028C4⋊Q8—898no—
1029#123—898no—
1030#123—898no—
1031#123—898no—
1032#123—898no—
1033C22⋊Q8—898no—
1034C22⋊Q8—898no—
1035#121—898no—
1036#121—898no—
1037C4×Q8—1784no—
1038C4×Q8—1784no—
1039C4×Q8—1784no—
1040C4×Q8—1784no—
1041C4×D4—898no—
1042C4×D4—898no—
1043C4×D4—898no—
1044C4×D4—1784no—
1045C4×D4—1784no—
1046C4×D4—1784no—
1047C4×D4—1784no—
1048C4×D4—1784no—
1049C4×D4—1784no—
1050C4×D4—1784no—
1051C4×D4—1784no—
1052C4×D4—1784no—
1053C4×D4—1784no—
1054C4×D4—1784no—
1055#117—1784no—
1056#117—1784no—
1057#117—1784no—
1058#117—1784no—
1059#117—1784no—
1060#117—1784no—
1061C2×C4⋊C4—24no—
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—898no—
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—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—1784no—
1088C2×C4⋊C4—1784no—
1089C2×C4⋊C4C4×D8918yescomplemented
1090C2×C4⋊C4C22×D8911yescharacteristic
1091C2×C4⋊C4C22×D8911yescharacteristic
1092C2×C4⋊C4C22×D8911yescharacteristic
1093C2×C4⋊C4C22×D8911yescharacteristic
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1125C2×C22⋊C4—891no—
1126C2×C42—24no—
1127C2×C42—891no—
1128C2×C42—891no—
1129C2×C42—891no—
1130C2×C42—891no—
1131C2×C42—891no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—1784no—
1147C2×C42—1784no—
1148C2×C42C22×D8911yescharacteristic
1149C2×C42C22×D8911yescharacteristic
1150C2×C42C22×D8911yescharacteristic
1151C2×C42C22×D8911yescharacteristic
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183#95C22×D8911yescharacteristic
1184#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
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—891no—
1199C24C23×D8911yescharacteristic
1200#41—17832no—
1201#41—17832no—
1202C2×Q8—894no—
1203C2×Q8—894no—
1204C2×Q8—1782no—
1205C2×Q8—1782no—
1206C2×Q8—1782no—
1207C2×Q8—1782no—
1208C2×D4—894no—
1209C2×D4—894no—
1210C2×D4—894no—
1211C2×D4—894no—
1212C2×D4—894no—
1213C2×D4—894no—
1214C2×D4—894no—
1215C2×D4—894no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—1782no—
1219C2×D4—1782no—
1220C2×D4—1782no—
1221C2×D4—1782no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—894no—
1251C22×C4—894no—
1252C22×C4—894no—
1253C22×C4—894no—
1254C22×C4—894no—
1255C22×C4—894no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
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×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
1295C22×C4C2×C4×D8914yes—
1296C22×C4C2×C4×D8914yes—
1297C22×C4C2×C4×D8914yes—
1298C22×C4D4×D8914yes—
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C22×C4C23×D8911yescharacteristic
1308C22×C4C23×D8911yescharacteristic
1309C22×C4C23×D8911yescharacteristic
1310C22×C4C23×D8911yescharacteristic
1311C22×C4C23×D8911yescharacteristic
1312C22×C4C23×D8911yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—894no—
1318C4⋊C4—894no—
1319C4⋊C4—894no—
1320C4⋊C4—894no—
1321C4⋊C4—894no—
1322C4⋊C4—894no—
1323C4⋊C4—894no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—3561no—
1327C4⋊C4—3561no—
1328C4⋊C4—3561no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C4⋊C4—1782no—
1333C4⋊C4—1782no—
1334C4⋊C4—1782no—
1335C4⋊C4—1782no—
1336C4⋊C4—1782no—
1337C4⋊C4—1782no—
1338C4⋊C4—1782no—
1339C4⋊C4—1782no—
1340C4⋊C4—1782no—
1341C4⋊C4C2×C4×D8914yes—
1342C4⋊C4C2×C4×D8914yes—
1343C4⋊C4C2×C4×D8914yes—
1344C4⋊C4C2×C4×D8914yes—
1345C22⋊C4—894no—
1346C22⋊C4—894no—
1347C22⋊C4—894no—
1348C22⋊C4—894no—
1349C22⋊C4—894no—
1350C22⋊C4—894no—
1351C22⋊C4—894no—
1352C22⋊C4—894no—
1353C22⋊C4—894no—
1354C22⋊C4—894no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
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—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—894no—
1378C42—894no—
1379C42—3561no—
1380C42—3561no—
1381C42—3561no—
1382C42—3561no—
1383C42—3561no—
1384C42—3561no—
1385C42—1782no—
1386C42—1782no—
1387C42—1782no—
1388C42—1782no—
1389C42—1782no—
1390C42—1782no—
1391C42—1782no—
1392C42—1782no—
1393C42—1782no—
1394C42—1782no—
1395C42—1782no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—892no—
1401C23—892no—
1402C23—892no—
1403C23—892no—
1404C23—892no—
1405C23—1781no—
1406C23—1781no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23—1781no—
1419C23—1781no—
1420C23—1781no—
1421C23C22×C4×D8912yes—
1422C23C2×D4×D8912yes—
1423C23#41×D8912yes—
1424C23C24×D8911yescharacteristic
1425Q8—1788no—
1426Q8—1788no—
1427D4—8916no—
1428D4—3564no—
1429D4—1788no—
1430D4—1788no—
1431D4—1788no—
1432D4—1788no—
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—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—28no—
1452C2×C4—28no—
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—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—892no—
1474C2×C4—892no—
1475C2×C4—892no—
1476C2×C4—892no—
1477C2×C4—892no—
1478C2×C4—892no—
1479C2×C4—892no—
1480C2×C4—892no—
1481C2×C4—892no—
1482C2×C4—3564no—
1483C2×C4—3564no—
1484C2×C4—3564no—
1485C2×C4—3564no—
1486C2×C4—3564no—
1487C2×C4—1788no—
1488C2×C4—1788no—
1489C2×C4—1788no—
1490C2×C4—1788no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
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—7122no—
1522C2×C4—7122no—
1523C2×C4—7122no—
1524C2×C4—7122no—
1525C2×C4C22×C4×D8912yes—
1526C2×C4C22×C4×D8912yes—
1527C2×C4C22×C4×D8912yes—
1528C2×C4C22×C4×D8912yes—
1529C2×C4C22×C4×D8912yes—
1530C2×C4C22×C4×D8912yes—
1531C2×C4C2×D4×D8912yes—
1532C2×C4C2×D4×D8912yes—
1533C2×C4#1566806012yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—894no—
1541C22—3561no—
1542C22—3561no—
1543C22—3561no—
1544C22—3561no—
1545C22—3561no—
1546C22—3561no—
1547C22—3561no—
1548C22—3561no—
1549C22—1782no—
1550C22—1782no—
1551C22—1782no—
1552C22—1782no—
1553C22—1782no—
1554C22—1782no—
1555C22—1782no—
1556C22—1782no—
1557C22—1782no—
1558C22—1782no—
1559C22—1782no—
1560C22—1782no—
1561C22C4×D4×D8914yes—
1562C22C23×C4×D8911yescharacteristic
1563C22C22×D4×D8911yescharacteristic
1564C22C2×#41×D8911yescharacteristic
1565C22C2×#1566806011yescharacteristic
1566C22#1915243411yescharacteristic
1567C22#1915243411yescharacteristic
1568C22#1915243411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—894no—
1584C4—3561no—
1585C4—3561no—
1586C4—3561no—
1587C4—3561no—
1588C4—3561no—
1589C4—3561no—
1590C4—1782no—
1591C4—1782no—
1592C4—1782no—
1593C4—1782no—
1594C4—1782no—
1595C4—1782no—
1596C2—24no—
1597C2—3562no—
1598C2—3562no—
1599C2—1784no—
1600C2C2×C4×D4×D8911yescharacteristic
1601C2#2603345311yescharacteristic
1602C2C4×#1566806011yescharacteristic
1603C2#2603389011yescharacteristic
1604C2#2603392811yescharacteristic
1605C2#2603422411yescharacteristic
1606C2#2603431211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC2×#387×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152249C2
hypercenterC2×#387D89
hypocenterC89#34289
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
2. C2×#19152079C2semidirect
3. C2×C4×#13083574C2semidirect
4. #26023307C2semidirect
5. #26023299C2semidirect
6. #26023298C2semidirect
7. #26023274C2semidirect
8. #26023260C2semidirect
9. #26023251C2semidirect
10. #26023240C2semidirect
11. #26023240C2semidirect
12. #26023237C2semidirect
13. #26023176C2semidirect
14. #26023159C2semidirect
15. #26023121C2semidirect
16. #26023118C2semidirect
17. #26023079C2semidirect
18. #26023079C2semidirect
19. #26022967C2semidirect
20. #26022955C2semidirect
21. #26022951C2semidirect
22. #26022933C2semidirect
23. #26022925C2semidirect
24. #26022921C2semidirect
25. #26022786C2semidirect
26. C4×#15667995C2semidirect
27. #26022773C2semidirect
28. #26022690C2semidirect
29. #387×D89C2semidirect
30. #26022610C2semidirect
31. C2×#387×C89C2semidirect
34. #19152249C4semidirect
194. C2×#13083574C2×C4semidirect
195. C2×#13083574C2×C4semidirect
217. #15668011C2×C4semidirect
218. #15667997C2×C4semidirect
219. #15667997C2×C4semidirect
220. #15667995C2×C4semidirect
221. #15667995C2×C4semidirect
222. #15667990C2×C4semidirect
223. #15667990C2×C4semidirect
224. #15667987C2×C4semidirect
225. #15667986C2×C4semidirect
234. #15667974C2×C4semidirect
242. C4×C22⋊D89C2×C4semidirect
243. C4×C22⋊D89D4semidirect
276. C4⋊C4×D89C2×C4semidirect
362. C2×C4⋊C4×C89C2×C4semidirect
833. C2×#387D89semidirect
835. C89#34289semidirect
1089. C2×C4⋊C4C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522492
C2×#191520792
C2×C4×#130835742
#260233072
#260232992
#260232982
#260232742
#260232602
#260232512
#260232402
#260232372
#260231762
#260231592
#260231212
#260231182
#260230792
#260229672
#260229552
#260229512
#260229332
#260229252
#260229212
#260227862
C4×#156679952
#260227732
#260226902
#387×D892
#260226102
C2×#387×C892
#3428989