Finite Group Databasebeta

← #36715996

Subgroups — #36715996

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×#19152246C211yesmaximal, characteristic
2C2×#19152077C211yesmaximal, characteristic, complemented
3C2×C4×#13083574C211yesmaximal, characteristic, complemented
4#26023311C211yesmaximal, characteristic, complemented
5#26023303C211yesmaximal, characteristic, complemented
6#26023300C211yesmaximal, characteristic, complemented
7#26023280C211yesmaximal, characteristic, complemented
8#26023258C211yesmaximal, characteristic, complemented
9#26023249C211yesmaximal, characteristic, complemented
10#26023248C211yesmaximal, characteristic, complemented
11#26023245C211yesmaximal, characteristic, complemented
12#26023242C211yesmaximal, characteristic, complemented
13#26023175C211yesmaximal, characteristic, complemented
14#26023158C211yesmaximal, characteristic, complemented
15#26023117C211yesmaximal, characteristic, complemented
16#26023116C211yesmaximal, characteristic, complemented
17#26023078C211yesmaximal, characteristic, complemented
18#26023076C211yesmaximal, characteristic, complemented
19#26022967C211yesmaximal, characteristic, complemented
20#26022956C211yesmaximal, characteristic, complemented
21#26022950C211yesmaximal, characteristic, complemented
22#26022931C211yesmaximal, characteristic, complemented
23#26022925C211yesmaximal, characteristic, complemented
24#26022923C211yesmaximal, characteristic, complemented
25#26022786C211yesmaximal, characteristic, complemented
26#26022779C211yesmaximal, characteristic, complemented
27#26022694C211yesmaximal, characteristic, complemented
28C2×#19151482C211yesmaximal, characteristic, complemented
29#387×D89C211yesmaximal, characteristic, complemented
30#26022611C211yesmaximal, characteristic, complemented
31C4×#123×C89C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C22×#13083573C2211yescharacteristic
34#19152246C4116yescomplemented
35C2×#15668011C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667996C2211yescharacteristic
38C2×#15667994C2211yescharacteristic
39C2×#15667990C2211yescharacteristic
40C2×#15667989C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667984C2211yescharacteristic
43#19152077—28no—
44C4×#13083574—28no—
45C2×C4×Dic178C2211yescharacteristic
46C2×C4×Dic178C2211yescharacteristic
47C2×C4×Dic178C2211yescharacteristic
48C2×#15667977C2211yescharacteristic
49C2×C4×D356C2211yescharacteristic
50C2×C4×D356C2211yescharacteristic
51C2×D4×Dic89C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×C4×C22⋊D89C2211yescharacteristic
54C2×C4×C22⋊D89C2211yescharacteristic
55C2×C4×C22⋊D89C2211yescharacteristic
56C2×C4×C22⋊D89C2211yescharacteristic
57C2×#15667972C2211yescharacteristic
58C2×#15667972C2211yescharacteristic
59C2×#15667972C2211yescharacteristic
60C2×#15667972C2211yescharacteristic
61C2×#15667972C2211yescharacteristic
62C2×#15667971C2211yescharacteristic
63C2×#15667969C2211yescharacteristic
64C2×#15667969C2211yescharacteristic
65C2×#15667969C2211yescharacteristic
66C2×#15667968C2211yescharacteristic
67C2×#15667968C2211yescharacteristic
68C22×#13083553C2211yescharacteristic
69C22×#13083553C2211yescharacteristic
70C22×#13083553C2211yescharacteristic
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#19151496C2211yescharacteristic
81#19151496C2211yescharacteristic
82#19151495C2211yescharacteristic
83#19151495C2211yescharacteristic
84#19151495C2211yescharacteristic
85#19151494C2211yescharacteristic
86#19151493C2211yescharacteristic
87#19151491C2211yescharacteristic
88#19151491C2211yescharacteristic
89#19151490C2211yescharacteristic
90#19151489C2211yescharacteristic
91#19151489C2211yescharacteristic
92#19151489C2211yescharacteristic
93#19151488C2211yescharacteristic
94#19151487C2211yescharacteristic
95#19151486C2211yescharacteristic
96#19151486C2211yescharacteristic
97#19151485C2211yescharacteristic
98#19151485C2211yescharacteristic
99#19151485C2211yescharacteristic
100#19151484C2211yescharacteristic
101#19151484C2211yescharacteristic
102#19151483C2211yescharacteristic
103#19151483C2211yescharacteristic
104#19151482C2211yescharacteristic
105#19151482C2211yescharacteristic
106#19151482C2211yescharacteristic
107#19151482C2211yescharacteristic
108#19151482C2211yescharacteristic
109#19151482C2211yescharacteristic
110#19151482C2211yescharacteristic
111#19151482C2211yescharacteristic
112#19151482C2211yescharacteristic
113#19151481C2211yescharacteristic
114#19151481C2211yescharacteristic
115#19151480C2211yescharacteristic
116#19151480C2211yescharacteristic
117#19151480C2211yescharacteristic
118#19151479C2211yescharacteristic
119#19151478C2211yescharacteristic
120#19151477C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151475C2211yescharacteristic
124#19151475C2211yescharacteristic
125#19151475C2211yescharacteristic
126#19151474C2211yescharacteristic
127#19151474C2211yescharacteristic
128#19151474C2211yescharacteristic
129#19151474C2211yescharacteristic
130#19151473C2211yescharacteristic
131#19151473C2211yescharacteristic
132#19151472C2211yescharacteristic
133#19151472C2211yescharacteristic
134#19151472C2211yescharacteristic
135#19151471C2211yescharacteristic
136#19151469C2211yescharacteristic
137#19151469C2211yescharacteristic
138#19151469C2211yescharacteristic
139#19151462C2211yescharacteristic
140#19151460C2211yescharacteristic
141#19151460C2211yescharacteristic
142#19151459C2211yescharacteristic
143#19151457C2211yescharacteristic
144#19151456C2211yescharacteristic
145#19151456C2211yescharacteristic
146#19151455C2211yescharacteristic
147C4⋊C4×Dic89C2211yescharacteristic
148C4⋊C4×Dic89C2211yescharacteristic
149C4⋊C4×Dic89C2211yescharacteristic
150C4×#13083553C2211yescharacteristic
151C4×#13083553C2211yescharacteristic
152#19151449C2211yescharacteristic
153#19151449C2211yescharacteristic
154#19151449C2211yescharacteristic
155C22⋊C4×Dic89C2211yescharacteristic
156C22⋊C4×Dic89C2211yescharacteristic
157C22⋊C4×Dic89C2211yescharacteristic
158C22⋊C4×Dic89C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic
160C4×#13083551C2211yescharacteristic
161C4×#13083551C2211yescharacteristic
162#19151445C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic
166#19151443C2211yescharacteristic
167C2×#15667919C2211yescharacteristic
168C2×#15667919C2211yescharacteristic
169C2×#15667919C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#95×D89C2211yescharacteristic
173#95×D89C2211yescharacteristic
174#95×D89C2211yescharacteristic
175C2×#123×C89C2211yescharacteristic
176C2×C4×D4×C89C2211yescharacteristic
177C22×C42×C89C2211yescharacteristic
178#388×C89C2211yescharacteristic
179#388×C89C2211yescharacteristic
180#387×C89C2211yescharacteristic
181#387×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#381×C89C2211yescharacteristic
185C4×C4⋊C4×C89C2211yescharacteristic
186C4×C4⋊C4×C89C2211yescharacteristic
187C4×C22⋊C4×C89C2211yescharacteristic
188C4×C22⋊C4×C89C2211yescharacteristic
189C4×C22⋊C4×C89C2211yescharacteristic
190C2×#13083574—24no—
191C2×#13083574—24no—
192C2×#13083574C2×C418yescomplemented
193C2×#13083573—24no—
194C2×#13083573—24no—
195C2×#13083573C2×C418yescomplemented
196C22×Dic178C2311yescharacteristic
197C22×Dic178C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C23×Dic89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219#15668011C2×C418yescomplemented
220#15667997C2×C418yescomplemented
221#15667996C2×C418yescomplemented
222#15667994C2×C418yescomplemented
223#15667990C2×C418yescomplemented
224#15667989C2×C418yescomplemented
225#15667985C2×C418yescomplemented
226#15667984C2×C418yescomplemented
227C4×Dic178—24no—
228C4×Dic178—24no—
229C4×Dic178—24no—
230#15667977—24no—
231C4×D356—24no—
232C4×D356—24no—
233D4×Dic89—24no—
234C4×C22⋊D89—24no—
235C4×C22⋊D89—24no—
236C4×C22⋊D89—24no—
237C4×C22⋊D89—24no—
238C4×C22⋊D89D418yescomplemented
239#15667972—24no—
240#15667972—24no—
241#15667972—24no—
242#15667972C2×C418yescomplemented
243#15667972C2×C418yescomplemented
244#15667971—24no—
245#15667969—24no—
246#15667969—24no—
247#15667969—24no—
248#15667968—24no—
249#15667968—24no—
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×#13083553—24no—
259C2×#13083553C2×C418yescomplemented
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
280C4⋊C4×D89—24no—
281C4⋊C4×D89C2×C418yescomplemented
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×C22⋊Dic89C2311yescharacteristic
287C2×C22⋊Dic89C2311yescharacteristic
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×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
318C42×D89—24no—
319C42×D89—24no—
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
346#15667919C2311yescharacteristic
347#15667919C2311yescharacteristic
348#15667919C2311yescharacteristic
349#15667919C2311yescharacteristic
350#15667919C2311yescharacteristic
351#15667919C2311yescharacteristic
352#15667919C2311yescharacteristic
353#15667919C2311yescharacteristic
354C22×D4×C89C2311yescharacteristic
355C23×C4×C89C2311yescharacteristic
356C23×C4×C89C2311yescharacteristic
357C23×C4×C89C2311yescharacteristic
358C23×C4×C89C2311yescharacteristic
359#123×C89C2×C418yescomplemented
360C4×D4×C89—24no—
361C2×C4⋊C4×C89C2311yescharacteristic
362C2×C4⋊C4×C89C2311yescharacteristic
363C2×C4⋊C4×C89C2311yescharacteristic
364C2×C4⋊C4×C89C2311yescharacteristic
365C2×C4⋊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×C42×C89—24no—
375C2×C42×C89C2311yescharacteristic
376C2×C42×C89C2311yescharacteristic
377C2×C42×C89C2311yescharacteristic
378C2×C42×C89C2311yescharacteristic
379C2×C42×C89C2311yescharacteristic
380C2×C42×C89C2311yescharacteristic
381C2×C42×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
394#13083574—232no—
395#13083573—232no—
396C2×Dic178—22no—
397C2×Dic178—22no—
398C2×Dic178—22no—
399C2×Dic178—22no—
400C2×Dic178C22×C414yes—
401C2×Dic178C22×C414yes—
402C2×D356—22no—
403C2×D356—22no—
404C2×D356C22×C414yes—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89C22×C414yes—
412C2×C22⋊D89C22×C414yes—
413C2×C22⋊D89C22×C414yes—
414C2×C22⋊D89C22×C414yes—
415C2×C22⋊D89C2×D414yes—
416C2×C22⋊D89#4114yes—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—22no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89—41no—
429C22×Dic89—41no—
430C22×Dic89—41no—
431C22×Dic89—41no—
432C22×Dic89C22×C414yes—
433C22×Dic89C22×C414yes—
434C22×Dic89C22×C414yes—
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C22×Dic89C2411yescharacteristic
448C22×Dic89C2411yescharacteristic
449C2×C4×D89—22no—
450C2×C4×D89—22no—
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—22no—
460C2×C4×D89—22no—
461C2×C4×D89—22no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—41no—
466C2×C4×D89—41no—
467C2×C4×D89—41no—
468C2×C4×D89—41no—
469C2×C4×D89—41no—
470C2×C4×D89—41no—
471C2×C4×D89—41no—
472C2×C4×D89—41no—
473C2×C4×D89—41no—
474C2×C4×D89C22×C414yes—
475C2×C4×D89C22×C414yes—
476C2×C4×D89C22×C414yes—
477C2×C4×D89C22×C414yes—
478C2×C4×D89C2×D414yes—
479C4⋊Dic89—22no—
480C4⋊Dic89—22no—
481C4⋊Dic89—22no—
482C4⋊Dic89—41no—
483C4⋊Dic89—41no—
484C4⋊Dic89C22×C414yes—
485C4⋊Dic89C22×C414yes—
486#13083553—22no—
487#13083553—22no—
488#13083553—22no—
489#13083553—22no—
490#13083553—22no—
491#13083553—22no—
492#13083553—22no—
493#13083553—22no—
494#13083553—22no—
495#13083553—22no—
496#13083553—22no—
497#13083553—41no—
498#13083553—41no—
499#13083553C22×C414yes—
500#13083553C22×C414yes—
501#13083553C22×C414yes—
502#13083553C22×C414yes—
503#13083553C22×C414yes—
504#13083553C22×C414yes—
505#13083553C2×D414yes—
506C22⋊Dic89—22no—
507C22⋊Dic89—22no—
508C22⋊Dic89—41no—
509C22⋊Dic89—41no—
510C22⋊Dic89C22×C414yes—
511C22⋊Dic89C2×D414yes—
512#13083551—22no—
513#13083551—22no—
514#13083551—22no—
515#13083551—22no—
516#13083551—22no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551C22×C414yes—
522#13083551C22×C414yes—
523#13083551C22×C414yes—
524#13083551C22×C414yes—
525#13083551C2×D414yes—
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×Dic89C22×C414yes—
541C4×Dic89C2×D414yes—
542C24×C89C2411yescharacteristic
543C24×C89C2411yescharacteristic
544C2×D4×C89—22no—
545C2×D4×C89—22no—
546C2×D4×C89C22×C414yes—
547C22×C4×C89—22no—
548C22×C4×C89—22no—
549C22×C4×C89—22no—
550C22×C4×C89—22no—
551C22×C4×C89—22no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89—41no—
555C22×C4×C89—41no—
556C22×C4×C89—41no—
557C22×C4×C89C22×C414yes—
558C22×C4×C89C2×D414yes—
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C22×C4×C89C2411yescharacteristic
572C4⋊C4×C89—22no—
573C4⋊C4×C89—22no—
574C4⋊C4×C89—41no—
575C4⋊C4×C89C22×C414yes—
576C4⋊C4×C89C22×C414yes—
577C22⋊C4×C89—22no—
578C22⋊C4×C89—22no—
579C22⋊C4×C89—22no—
580C22⋊C4×C89—22no—
581C22⋊C4×C89—41no—
582C22⋊C4×C89C22×C414yes—
583C22⋊C4×C89C22×C414yes—
584C22⋊C4×C89C22×C414yes—
585C42×C89—22no—
586C42×C89—22no—
587C42×C89—22no—
588C42×C89—22no—
589C42×C89—22no—
590C42×C89—41no—
591C42×C89—41no—
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×C89C23×C412yes—
603C23×C89C23×C412yes—
604C23×C89C22×D412yes—
605C23×C89C2×#4112yes—
606C23×C89C2511yescharacteristic
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×D89—21no—
617C22×D89C23×C412yes—
618C22×D89C23×C412yes—
619C22×D89C22×D412yes—
620C22×D89C2×#4112yes—
621D4×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—44no—
655C2×C4×C89—44no—
656C2×C4×C89—82no—
657C2×C4×C89C23×C412yes—
658C2×C4×C89C23×C412yes—
659C2×C4×C89C23×C412yes—
660C2×C4×C89C23×C412yes—
661C2×C4×C89C23×C412yes—
662C2×C4×C89C22×D412yes—
663C2×C4×C89C22×D412yes—
664C2×C4×C892−1+412yes—
665C22⋊D89—28no—
666C22⋊D89—28no—
667C22⋊D89—44no—
668C22⋊D89C4×D4116yes—
669C2×Dic89—28no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—28no—
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×Dic89—44no—
704C2×Dic89—82no—
705C2×Dic89—82no—
706C2×Dic89—82no—
707C2×Dic89C23×C412yes—
708C2×Dic89C23×C412yes—
709C2×Dic89C23×C412yes—
710C2×Dic89C23×C412yes—
711C2×Dic89C23×C412yes—
712C2×Dic89C23×C412yes—
713C2×Dic89C22×D412yes—
714C2×Dic89C22×D412yes—
715C2×Dic89C22×D412yes—
716C2×Dic89C2×#4112yes—
717D356—28no—
718C4×D89—28no—
719C4×D89—28no—
720C4×D89—28no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—44no—
725C4×D89—44no—
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×C89—22no—
737C22×C89—22no—
738C22×C89—22no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89C2×C4×D414yes—
744C22×C89C24×C411yescharacteristic
745C22×C89C23×D411yescharacteristic
746C22×C89C22×#4111yescharacteristic
747C22×C89C2×2−1+411yescharacteristic
748C22×C89#58511yescharacteristic
749C22×C89#58511yescharacteristic
750C22×C89#58511yescharacteristic
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—22no—
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—22no—
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—41no—
774C4×C89—41no—
775C4×C89—41no—
776C4×C89—41no—
777C4×C89—41no—
778Dic89—22no—
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×C89—42no—
795C2×C89C22×C4×D411yescharacteristic
796C2×C89#342811yescharacteristic
797C2×C89C4×2−1+411yescharacteristic
798C2×C89#348511yescharacteristic
799C2×C89#348911yescharacteristic
800C2×C89#351511yescharacteristic
801C2×C89#352111yescharacteristic
802D89—24no—
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×#123D8911yescharacteristic, complemented
831#2290—891no—
832C2×#387—891no—
833C2×#387—891no—
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×#123C2×D8911yescharacteristic
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×D4C2×D8911yescharacteristic
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⋊C4—891no—
878C22×C4⋊C4—891no—
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#388C2×D8911yescharacteristic
905#388C2×D8911yescharacteristic
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#387—891no—
923#387—891no—
924#387—891no—
925#387—891no—
926#387—891no—
927#387—891no—
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#386C2×D8911yescharacteristic
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#385C2×D8911yescharacteristic
952#382—891no—
953#381—891no—
954#381—891no—
955#381—891no—
956#381C2×D8911yescharacteristic
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⋊C4C2×D8911yescharacteristic
970C4×C4⋊C4C2×D8911yescharacteristic
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⋊C4C2×D8911yescharacteristic
983C4×C22⋊C4C2×D8911yescharacteristic
984C4×C22⋊C4C2×D8911yescharacteristic
985#376—891no—
986C2×#95—891no—
987C2×#95—891no—
988C2×#95—891no—
989C2×#95—891no—
990C2×#95—891no—
991C2×#95—891no—
992C2×#95—891no—
993C2×#95—891no—
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×D4C22×D8911yescharacteristic
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×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
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#123C4×D8918yescomplemented
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—24no—
1042C4×D4—898no—
1043C4×D4—898no—
1044C4×D4—898no—
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—898no—
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—898no—
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—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—1784no—
1091C2×C4⋊C4—1784no—
1092C2×C4⋊C4—1784no—
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⋊C4C22×D8911yescharacteristic
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
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—1784no—
1144C2×C42—1784no—
1145C2×C42C22×D8911yescharacteristic
1146C2×C42C22×D8911yescharacteristic
1147C2×C42C22×D8911yescharacteristic
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#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
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—
1198C24C23×D8911yescharacteristic
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—22no—
1209C2×D4—22no—
1210C2×D4—894no—
1211C2×D4—894no—
1212C2×D4—894no—
1213C2×D4—894no—
1214C2×D4—894no—
1215C2×D4—894no—
1216C2×D4—894no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—1782no—
1220C2×D4—1782no—
1221C2×D4—1782no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4C2×C4×D8914yes—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—891no—
1237C22×C4—894no—
1238C22×C4—894no—
1239C22×C4—894no—
1240C22×C4—891no—
1241C22×C4—891no—
1242C22×C4—891no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—894no—
1248C22×C4—894no—
1249C22×C4—894no—
1250C22×C4—894no—
1251C22×C4—894no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
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×C4—1782no—
1296C22×C4—1782no—
1297C22×C4—1782no—
1298C22×C4C2×C4×D8914yes—
1299C22×C4D4×D8914yes—
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—41no—
1316C4⋊C4—894no—
1317C4⋊C4—894no—
1318C4⋊C4—894no—
1319C4⋊C4—894no—
1320C4⋊C4—894no—
1321C4⋊C4—894no—
1322C4⋊C4—894no—
1323C4⋊C4—894no—
1324C4⋊C4—894no—
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⋊C4—1782no—
1342C4⋊C4—1782no—
1343C4⋊C4C2×C4×D8914yes—
1344C4⋊C4C2×C4×D8914yes—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—894no—
1351C22⋊C4—894no—
1352C22⋊C4—894no—
1353C22⋊C4—894no—
1354C22⋊C4—894no—
1355C22⋊C4—894no—
1356C22⋊C4—894no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4C2×C4×D8914yes—
1371C22⋊C4C2×C4×D8914yes—
1372C22⋊C4C2×C4×D8914yes—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—894no—
1381C42—894no—
1382C42—3561no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
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—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—892no—
1407C23—892no—
1408C23—892no—
1409C23—892no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23—1781no—
1419C23—1781no—
1420C23C22×C4×D8912yes—
1421C23C22×C4×D8912yes—
1422C23C2×D4×D8912yes—
1423C23#41×D8912yes—
1424C23C24×D8911yescharacteristic
1425Q8—1788no—
1426Q8—1788no—
1427D4—28no—
1428D4—8916no—
1429D4—3564no—
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—28no—
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—44no—
1466C2×C4—44no—
1467C2×C4—82no—
1468C2×C4—892no—
1469C2×C4—892no—
1470C2×C4—892no—
1471C2×C4—892no—
1472C2×C4—892no—
1473C2×C4—892no—
1474C2×C4—892no—
1475C2×C4—892no—
1476C2×C4—892no—
1477C2×C4—892no—
1478C2×C4—3564no—
1479C2×C4—3564no—
1480C2×C4—3564no—
1481C2×C4—3564no—
1482C2×C4—3564no—
1483C2×C4—3564no—
1484C2×C4—1788no—
1485C2×C4—1788no—
1486C2×C4—1788no—
1487C2×C4—1788no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—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—1788no—
1521C2×C4—7122no—
1522C2×C4—7122no—
1523C2×C4—7122no—
1524C2×C4—7122no—
1525C2×C4—7122no—
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#1566805912yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—894no—
1548C22—3561no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
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×#1566805911yescharacteristic
1566C22#1915243411yescharacteristic
1567C22#1915243411yescharacteristic
1568C22#1915243411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—894no—
1583C4—3561no—
1584C4—3561no—
1585C4—3561no—
1586C4—3561no—
1587C4—3561no—
1588C4—3561no—
1589C4—1782no—
1590C4—1782no—
1591C4—1782no—
1592C4—1782no—
1593C4—1782no—
1594C4—1782no—
1595C4—1782no—
1596C2—24no—
1597C2—42no—
1598C2—3562no—
1599C2—1784no—
1600C2C2×C4×D4×D8911yescharacteristic
1601C2#2603345111yescharacteristic
1602C2C4×#1566805911yescharacteristic
1603C2#2603389011yescharacteristic
1604C2#2603392411yescharacteristic
1605C2#2603421811yescharacteristic
1606C2#2603430611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC4×#123×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152246C2
hypercenterC4×#123D89
hypocenterC89#34289
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. C2×#19152077C2semidirect
3. C2×C4×#13083574C2semidirect
4. #26023311C2semidirect
5. #26023303C2semidirect
6. #26023300C2semidirect
7. #26023280C2semidirect
8. #26023258C2semidirect
9. #26023249C2semidirect
10. #26023248C2semidirect
11. #26023245C2semidirect
12. #26023242C2semidirect
13. #26023175C2semidirect
14. #26023158C2semidirect
15. #26023117C2semidirect
16. #26023116C2semidirect
17. #26023078C2semidirect
18. #26023076C2semidirect
19. #26022967C2semidirect
20. #26022956C2semidirect
21. #26022950C2semidirect
22. #26022931C2semidirect
23. #26022925C2semidirect
24. #26022923C2semidirect
25. #26022786C2semidirect
26. #26022779C2semidirect
27. #26022694C2semidirect
28. C2×#19151482C2semidirect
29. #387×D89C2semidirect
30. #26022611C2semidirect
31. C4×#123×C89C2semidirect
34. #19152246C4semidirect
192. C2×#13083574C2×C4semidirect
195. C2×#13083573C2×C4semidirect
219. #15668011C2×C4semidirect
220. #15667997C2×C4semidirect
221. #15667996C2×C4semidirect
222. #15667994C2×C4semidirect
223. #15667990C2×C4semidirect
224. #15667989C2×C4semidirect
225. #15667985C2×C4semidirect
226. #15667984C2×C4semidirect
238. C4×C22⋊D89D4semidirect
242. #15667972C2×C4semidirect
243. #15667972C2×C4semidirect
259. C2×#13083553C2×C4semidirect
281. C4⋊C4×D89C2×C4semidirect
359. #123×C89C2×C4semidirect
830. C4×#123D89semidirect
835. C89#34289semidirect
1032. #123C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522462
C2×#191520772
C2×C4×#130835742
#260233112
#260233032
#260233002
#260232802
#260232582
#260232492
#260232482
#260232452
#260232422
#260231752
#260231582
#260231172
#260231162
#260230782
#260230762
#260229672
#260229562
#260229502
#260229312
#260229252
#260229232
#260227862
#260227792
#260226942
C2×#191514822
#387×D892
#260226112
C4×#123×C892
#3428989