Finite Group Databasebeta

← #36719308

Subgroups — #36719308

Order 22784.

2636 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152238C211yesmaximal, characteristic
2#26023421C211yesmaximal, characteristic, complemented
3#26023419C211yesmaximal, characteristic, complemented
4#26023405C211yesmaximal, characteristic, complemented
5#26023392C211yesmaximal, characteristic, complemented
6#26023380C211yesmaximal, characteristic, complemented
7#26023296C211yesmaximal, characteristic, complemented
8#26023268C211yesmaximal, characteristic, complemented
9#26023240C211yesmaximal, characteristic, complemented
10#26023231C211yesmaximal, characteristic, complemented
11#26023222C211yesmaximal, characteristic, complemented
12#26023177C211yesmaximal, characteristic, complemented
13#26023101C211yesmaximal, characteristic, complemented
14#26023100C211yesmaximal, characteristic, complemented
15#26023079C211yesmaximal, characteristic, complemented
16C22⋊C4×C22⋊D89C211yesmaximal, characteristic, complemented
17#26023059C211yesmaximal, characteristic, complemented
18#26023040C211yesmaximal, characteristic, complemented
19#26023015C211yesmaximal, characteristic, complemented
20#26023002C211yesmaximal, characteristic, complemented
21#26022955C211yesmaximal, characteristic, complemented
22#26022940C211yesmaximal, characteristic, complemented
23#26022910C211yesmaximal, characteristic, complemented
24#26022905C211yesmaximal, characteristic, complemented
25#26022886C211yesmaximal, characteristic, complemented
26#26022882C211yesmaximal, characteristic, complemented
27#26022846C211yesmaximal, characteristic, complemented
28#26022827C211yesmaximal, characteristic, complemented
29C4×#15667995C211yesmaximal, characteristic, complemented
30#26022742C211yesmaximal, characteristic, complemented
31C2×#388×C89C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C23×C22⋊D89C2211yescharacteristic
34#19152238C4116yescomplemented
35C2×#15667998C2211yescharacteristic
36C2×#15667995C2211yescharacteristic
37C2×#15667994C2211yescharacteristic
38C2×#15667989C2211yescharacteristic
39C2×#15667986C2211yescharacteristic
40C2×#15667985C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667982C2211yescharacteristic
43C2×#15667981C2211yescharacteristic
44C2×#15667974C2211yescharacteristic, complemented
45C2×C4×C22⋊D89C2211yescharacteristic
46C2×C4×C22⋊D89C2211yescharacteristic
47C2×C4×C22⋊D89C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic, complemented
49C2×C4×C22⋊D89C2211yescharacteristic, complemented
50C2×#15667972C2211yescharacteristic
51C2×#15667972C2211yescharacteristic, complemented
52C2×#15667971C2211yescharacteristic, complemented
53C2×#15667970C2211yescharacteristic, complemented
54C22×C22⋊Dic89C2211yescharacteristic
55C2×C22⋊C4×D89C2211yescharacteristic
56C2×C22⋊C4×D89C2211yescharacteristic
57#19151504C2211yescharacteristic, complemented
58#19151504C2211yescharacteristic, complemented
59#19151502C2211yescharacteristic, complemented
60#19151502C2211yescharacteristic, complemented
61#19151500C2211yescharacteristic, complemented
62#19151500C2211yescharacteristic, complemented
63#19151499C2211yescharacteristic, complemented
64#19151498C2211yescharacteristic
65#19151498C2211yescharacteristic
66#19151498C2211yescharacteristic
67#19151498C2211yescharacteristic
68#19151498C2211yescharacteristic, complemented
69#19151495C2211yescharacteristic, complemented
70#19151494C2211yescharacteristic, complemented
71#19151492C2211yescharacteristic
72#19151492C2211yescharacteristic
73#19151492C2211yescharacteristic, complemented
74#19151491C2211yescharacteristic
75#19151491C2211yescharacteristic
76#19151491C2211yescharacteristic
77#19151491C2211yescharacteristic
78#19151490C2211yescharacteristic, complemented
79#19151490C2211yescharacteristic, complemented
80#19151490C2211yescharacteristic, complemented
81#19151489C2211yescharacteristic, complemented
82#19151489C2211yescharacteristic, complemented
83#19151488C2211yescharacteristic, complemented
84#19151488C2211yescharacteristic, complemented
85#19151488C2211yescharacteristic, complemented
86#19151488C2211yescharacteristic, complemented
87#19151487C2211yescharacteristic, complemented
88#19151487C2211yescharacteristic, complemented
89#19151487C2211yescharacteristic, complemented
90#19151486C2211yescharacteristic
91#19151486C2211yescharacteristic
92#19151486C2211yescharacteristic, complemented
93#19151485C2211yescharacteristic, complemented
94#19151483C2211yescharacteristic, complemented
95#19151483C2211yescharacteristic, complemented
96#19151482C2211yescharacteristic, complemented
97#19151482C2211yescharacteristic, complemented
98#19151480C2211yescharacteristic, complemented
99#19151480C2211yescharacteristic, complemented
100#19151480C2211yescharacteristic, complemented
101#19151479C2211yescharacteristic, complemented
102#19151479C2211yescharacteristic, complemented
103#19151477C2211yescharacteristic
104#19151477C2211yescharacteristic
105#19151477C2211yescharacteristic
106#19151477C2211yescharacteristic
107#19151477C2211yescharacteristic
108#19151477C2211yescharacteristic
109#19151477C2211yescharacteristic, complemented
110#19151477C2211yescharacteristic, complemented
111#19151476C2211yescharacteristic, complemented
112#19151476C2211yescharacteristic, complemented
113#19151476C2211yescharacteristic, complemented
114#19151476C2211yescharacteristic, complemented
115#19151475C2211yescharacteristic
116#19151475C2211yescharacteristic
117#19151475C2211yescharacteristic
118#19151475C2211yescharacteristic
119#19151475C2211yescharacteristic, complemented
120#19151474C2211yescharacteristic
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151474C2211yescharacteristic
124#19151474C2211yescharacteristic, complemented
125#19151473C2211yescharacteristic, complemented
126#19151473C2211yescharacteristic, complemented
127#19151472C2211yescharacteristic, complemented
128#19151472C2211yescharacteristic, complemented
129#19151472C2211yescharacteristic, complemented
130#19151471C2211yescharacteristic, complemented
131#19151471C2211yescharacteristic, complemented
132#19151470C2211yescharacteristic, complemented
133#19151469C2211yescharacteristic, complemented
134#19151469C2211yescharacteristic, complemented
135#19151465C2211yescharacteristic, complemented
136#19151463C2211yescharacteristic, complemented
137#19151462C2211yescharacteristic, complemented
138#19151461C2211yescharacteristic, complemented
139#19151460C2211yescharacteristic, complemented
140#19151460C2211yescharacteristic, complemented
141#19151459C2211yescharacteristic
142#19151459C2211yescharacteristic
143#19151458C2211yescharacteristic, complemented
144#19151457C2211yescharacteristic, complemented
145#19151457C2211yescharacteristic, complemented
146#19151456C2211yescharacteristic
147#19151455C2211yescharacteristic, complemented
148#19151454C2211yescharacteristic
149#19151453C2211yescharacteristic
150#19151453C2211yescharacteristic
151#19151453C2211yescharacteristic
152C4⋊C4×Dic89C2211yescharacteristic, complemented
153C4⋊C4×Dic89C2211yescharacteristic, complemented
154C4×#13083553C2211yescharacteristic, complemented
155C4×#13083553C2211yescharacteristic, complemented
156#19151449C2211yescharacteristic, complemented
157C22⋊C4×Dic89C2211yescharacteristic
158C22⋊C4×Dic89C2211yescharacteristic, complemented
159C22⋊C4×Dic89C2211yescharacteristic, complemented
160C22⋊C4×Dic89C2211yescharacteristic, complemented
161C4×#13083551C2211yescharacteristic, complemented
162C4×#13083551C2211yescharacteristic, complemented
163C4×#13083551C2211yescharacteristic, complemented
164C4×#13083551C2211yescharacteristic, complemented
165C4×#13083551C2211yescharacteristic, complemented
166C4×#13083551C2211yescharacteristic, complemented
167C4×C22⋊Dic89C2211yescharacteristic, complemented
168C4×C22⋊Dic89C2211yescharacteristic, complemented
169C4×C22⋊Dic89C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171#19151445C2211yescharacteristic, complemented
172#95×D89C2211yescharacteristic, complemented
173C22×C4⋊C4×C89C2211yescharacteristic, complemented
174C22×C22⋊C4×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176C22×C22⋊C4×C89C2211yescharacteristic
177C22×C42×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic
179#388×C89C2211yescharacteristic
180#388×C89C2211yescharacteristic
181#388×C89C2211yescharacteristic
182#388×C89C2211yescharacteristic, complemented
183#388×C89C2211yescharacteristic, complemented
184#388×C89C2211yescharacteristic, complemented
185#388×C89C2211yescharacteristic, complemented
186C2×#95×C89C2211yescharacteristic, complemented
187C2×#95×C89C2211yescharacteristic, complemented
188C24×D89C2311yescharacteristic
189C2×#13083574—42no—
190C2×#13083574—42no—
191C2×#13083574C2×C418yescomplemented
192C22×Dic178C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×C22⋊D89—42no—
196C22×C22⋊D89—42no—
197C22×C22⋊D89C2×C418yescomplemented
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15667998C2×C418yescomplemented
216#15667995C2×C418yescomplemented
217#15667994C2×C418yescomplemented
218#15667989C2×C418yescomplemented
219#15667986C2×C418yescomplemented
220#15667985C2×C418yescomplemented
221#15667985C2×C418yescomplemented
222#15667982C2×C418yescomplemented
223#15667981C2×C418yescomplemented
224#15667974—42no—
225C4×C22⋊D89—42no—
226C4×C22⋊D89—42no—
227C4×C22⋊D89—42no—
228C4×C22⋊D89—42no—
229C4×C22⋊D89C2×C418yescomplemented
230#15667972—42no—
231#15667972C2×C418yescomplemented
232#15667971—42no—
233#15667970—42no—
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×C22⋊Dic89—42no—
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C22⋊C4×D89—42no—
290C22⋊C4×D89C2×C418yescomplemented
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336C25×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89—42no—
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89—42no—
349C2×C22⋊C4×C89—42no—
350C2×C22⋊C4×C89C2×C418yescomplemented
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C42×C89—42no—
364C2×C42×C89C2311yescharacteristic
365C2×C42×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367C2×C42×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369#95×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376C23×D89—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89C22×C414yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386#13083574—416no—
387C2×Dic178—41no—
388C2×Dic178—41no—
389C2×Dic178C22×C414yes—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356C22×C414yes—
395C2×D356C22×C414yes—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—416no—
411C2×C22⋊D89C22×C414yes—
412C2×C22⋊D89C22×C414yes—
413C2×C22⋊D89C22×C414yes—
414C2×C22⋊D89C22×C414yes—
415C2×C22⋊D89C22×C414yes—
416C2×C22⋊D89C22×C414yes—
417C2×C22⋊D89C22×C414yes—
418C22×Dic89—41no—
419C22×Dic89—41no—
420C22×Dic89—41no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89C22×C414yes—
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
440C2×C4×D89—22no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
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×D89C22×C414yes—
459C2×C4×D89C22×C414yes—
460C2×C4×D89C22×C414yes—
461C4⋊Dic89—41no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465C4⋊Dic89C22×C414yes—
466#13083553—41no—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553C22×C414yes—
475#13083553C22×C414yes—
476#13083553C22×C414yes—
477C22⋊Dic89—22no—
478C22⋊Dic89—22no—
479C22⋊Dic89—22no—
480C22⋊Dic89—22no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89C22×C414yes—
488C22⋊Dic89C22×C414yes—
489C22⋊Dic89C22×C414yes—
490#13083551—22no—
491#13083551—22no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495#13083551—41no—
496#13083551—41no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551C22×C414yes—
511#13083551C22×C414yes—
512#13083551C22×C414yes—
513#13083551C22×C414yes—
514#13083551C22×C414yes—
515C4×Dic89—22no—
516C4×Dic89—41no—
517C4×Dic89—41no—
518C4×Dic89—41no—
519C4×Dic89—41no—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C4×Dic89C22×C414yes—
528C24×C89—22no—
529C24×C89—22no—
530C24×C89—41no—
531C24×C89—41no—
532C24×C89—41no—
533C24×C89—41no—
534C24×C89C22×C414yes—
535C24×C89C2411yescharacteristic
536C24×C89C2411yescharacteristic
537C24×C89C2411yescharacteristic
538C22×C4×C89—22no—
539C22×C4×C89—22no—
540C22×C4×C89—22no—
541C22×C4×C89—22no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—41no—
546C22×C4×C89—41no—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89C22×C414yes—
555C22×C4×C89C22×C414yes—
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
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C4⋊C4×C89—22no—
569C4⋊C4×C89—22no—
570C4⋊C4×C89—41no—
571C4⋊C4×C89—41no—
572C22⋊C4×C89—22no—
573C22⋊C4×C89—22no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89C22×C414yes—
581C22⋊C4×C89C22×C414yes—
582C22⋊C4×C89C22×C414yes—
583C22⋊C4×C89C22×C414yes—
584C42×C89—41no—
585C42×C89—41no—
586C42×C89—41no—
587C42×C89—41no—
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×C89—21no—
604C23×C89—28no—
605C23×C89—44no—
606C23×C89—44no—
607C23×C89—82no—
608C23×C89—82no—
609C23×C89—82no—
610C23×C89—82no—
611C23×C89C23×C412yes—
612C23×C89C23×C412yes—
613C23×C89C23×C412yes—
614C23×C89H(5,𝔽2)12yes—
615C23×C89H(5,𝔽2)12yes—
616C23×C89C2511yescharacteristic
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—21no—
632C22×D89—21no—
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—44no—
636C22×D89—44no—
637C22×D89—44no—
638C22×D89—82no—
639C22×D89—82no—
640C22×D89—82no—
641C22×D89—82no—
642C22×D89C23×C412yes—
643C22×D89C23×C412yes—
644C22×D89C23×C412yes—
645C2×C4×C89—28no—
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—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—44no—
678C2×C4×C89—44no—
679C2×C4×C89—44no—
680C2×C4×C89—82no—
681C2×C4×C89—82no—
682C2×C4×C89C23×C412yes—
683C2×C4×C89C23×C412yes—
684C2×C4×C89C23×C412yes—
685C2×C4×C89C23×C412yes—
686C2×C4×C89H(5,𝔽2)12yes—
687C22⋊D89—28no—
688C22⋊D89—28no—
689C22⋊D89—28no—
690C22⋊D89—44no—
691C22⋊D89—44no—
692C22⋊D89—44no—
693C22⋊D89—44no—
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—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—21no—
728C2×Dic89—44no—
729C2×Dic89—82no—
730C2×Dic89—82no—
731C2×Dic89C23×C412yes—
732C2×Dic89C23×C412yes—
733C2×Dic89C23×C412yes—
734C2×Dic89C23×C412yes—
735C2×Dic89C23×C412yes—
736D356—44no—
737D356—44no—
738C4×D89—44no—
739C4×D89—44no—
740C4×D89—44no—
741C4×D89—82no—
742C4×D89—82no—
743C4×D89—82no—
744C4×D89—82no—
745Dic178—44no—
746C22×C89—22no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
755C22×C89—22no—
756C22×C89—22no—
757C22×C89—22no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—88no—
767C22×C89#51814yes—
768C22×C89C24×C411yescharacteristic
769C22×C89C2×H(5,𝔽2)11yescharacteristic
770C22×C89C2×H(5,𝔽2)11yescharacteristic
771C22×C89C2×H(5,𝔽2)11yescharacteristic
772C22×C89#58511yescharacteristic
773C22×C89#58511yescharacteristic
774C22×C89#58511yescharacteristic
775C2×D89—22no—
776C2×D89—22no—
777C2×D89—22no—
778C2×D89—22no—
779C2×D89—22no—
780C2×D89—22no—
781C2×D89—22no—
782C2×D89—22no—
783C2×D89—22no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—41no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—88no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—22no—
800C4×C89—22no—
801C4×C89—22no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809Dic89—22no—
810Dic89—22no—
811Dic89—22no—
812Dic89—22no—
813Dic89—22no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822#34470—891nomaximal, Sylow
823C2×C89—24no—
824C2×C89—42no—
825C2×C89—42no—
826C2×C89C2×#51811yescharacteristic
827C2×C89#342811yescharacteristic
828C2×C89C4×H(5,𝔽2)11yescharacteristic
829C2×C89#353311yescharacteristic
830C2×C89#353411yescharacteristic
831C2×C89#355811yescharacteristic
832C2×C89#356011yescharacteristic
833D89—42no—
834D89—42no—
835D89—42no—
836C2×#546—891no—
837#2379—891no—
838#2378—891no—
839#2377—891no—
840#2375—891no—
841#2374—891no—
842#2364—891no—
843#2361—891no—
844#2359—891no—
845#2358—891no—
846#2357—891no—
847#2352—891no—
848#2342—891no—
849#2342—891no—
850#2339—891no—
851D4×C22⋊C4—891no—
852#2337—891no—
853#2335—891no—
854#2333—891no—
855#2332—891no—
856#2325—891no—
857#2324—891no—
858#2321—891no—
859#2321—891no—
860#2318—891no—
861#2318—891no—
862#2312—891no—
863#2308—891no—
864C4×#123—891no—
865#2297—891no—
866C2×#388D8911yescharacteristic, complemented
867C89#3447011yescharacteristic, complemented, Sylow
868C22×#41—891no—
869C23×D4—891no—
870#546—8916no—
871C2×#124—891no—
872C2×#123—891no—
873C2×#123—891no—
874C2×C22⋊Q8—891no—
875C2×#121—891no—
876C2×#121—891no—
877C2×#121—891no—
878C2×#120—891no—
879C2×#120—891no—
880C2×C4×D4—891no—
881C2×C4×D4—891no—
882C2×C4×D4—891no—
883C2×C4×D4—891no—
884C2×C4×D4—891no—
885C2×C4×D4—891no—
886C2×C4×D4—891no—
887C2×C4×D4—891no—
888C2×#117—891no—
889C2×#117—891no—
890C22×C4⋊C4C2×D8911yescharacteristic, complemented
891C22×C22⋊C4—891no—
892C22×C22⋊C4—891no—
893C22×C22⋊C4—891no—
894C22×C22⋊C4C2×D8911yescharacteristic
895C22×C22⋊C4C2×D8911yescharacteristic
896C22×C22⋊C4C2×D8911yescharacteristic
897C22×C42C2×D8911yescharacteristic, complemented
898#391—891no—
899#391—891no—
900#391—891no—
901#391—891no—
902#390—891no—
903#390—891no—
904#390—891no—
905#390—891no—
906#390—891no—
907#390—891no—
908#390—891no—
909#390—891no—
910#389—891no—
911#389—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—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#388C2×D8911yescharacteristic
935#388C2×D8911yescharacteristic
936#388C2×D8911yescharacteristic
937#388C2×D8911yescharacteristic
938#388C2×D8911yescharacteristic, complemented
939#388C2×D8911yescharacteristic, complemented
940#388C2×D8911yescharacteristic, complemented
941#388C2×D8911yescharacteristic, complemented
942#387—891no—
943#387—891no—
944#387—891no—
945#387—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#386—891no—
968#386—891no—
969#386—891no—
970#386—891no—
971#386—891no—
972#386—891no—
973#386—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385—891no—
984#383—891no—
985#382—891no—
986#382—891no—
987#381—891no—
988#381—891no—
989#381—891no—
990#381—891no—
991#381—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380—891no—
997#379—891no—
998#379—891no—
999#379—891no—
1000#379—891no—
1001C4×C4⋊C4—891no—
1002C4×C4⋊C4—891no—
1003C4×C4⋊C4—891no—
1004C4×C4⋊C4—891no—
1005C4×C4⋊C4—891no—
1006C4×C22⋊C4—891no—
1007C4×C22⋊C4—891no—
1008C4×C22⋊C4—891no—
1009C4×C22⋊C4—891no—
1010C4×C22⋊C4—891no—
1011C4×C22⋊C4—891no—
1012C4×C22⋊C4—891no—
1013C4×C22⋊C4—891no—
1014C4×C22⋊C4—891no—
1015C4×C22⋊C4—891no—
1016C4×C22⋊C4—891no—
1017C4×C22⋊C4—891no—
1018C4×C22⋊C4—891no—
1019C4×C22⋊C4—891no—
1020C4×C22⋊C4—891no—
1021C2×#95—891no—
1022C2×#95C2×D8911yescharacteristic, complemented
1023C2×#95C2×D8911yescharacteristic, complemented
1024C25—891no—
1025C25C22×D8911yescharacteristic
1026C2×#41—898no—
1027C2×#41—3562no—
1028C2×#41—3562no—
1029C22×Q8—891no—
1030C22×D4—898no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4—3562no—
1041C22×D4—3562no—
1042C23×C4—891no—
1043C23×C4—891no—
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4C22×D8911yescharacteristic
1053C23×C4C22×D8911yescharacteristic
1054C23×C4C22×D8911yescharacteristic
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057C23×C4C22×D8911yescharacteristic
1058#124—898no—
1059#123—898no—
1060#123—898no—
1061C22⋊Q8—898no—
1062#121—898no—
1063#121—898no—
1064#121—898no—
1065#120—898no—
1066#120—898no—
1067C4×D4—898no—
1068C4×D4—898no—
1069C4×D4—3562no—
1070C4×D4—3562no—
1071C4×D4—3562no—
1072C4×D4—3562no—
1073C4×D4—3562no—
1074C4×D4—3562no—
1075#117—3562no—
1076#117—3562no—
1077C2×C4⋊C4—42no—
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—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C4⋊C4C22×D8911yescharacteristic
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—42no—
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—898no—
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×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—3562no—
1140C2×C22⋊C4—3562no—
1141C2×C22⋊C4C4×D8918yescomplemented
1142C2×C22⋊C4C22×D8911yescharacteristic
1143C2×C22⋊C4C22×D8911yescharacteristic
1144C2×C22⋊C4C22×D8911yescharacteristic
1145C2×C22⋊C4C22×D8911yescharacteristic
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C22⋊C4C22×D8911yescharacteristic
1149C2×C22⋊C4C22×D8911yescharacteristic
1150C2×C22⋊C4C22×D8911yescharacteristic
1151C2×C22⋊C4C22×D8911yescharacteristic
1152C2×C22⋊C4C22×D8911yescharacteristic
1153C2×C22⋊C4C22×D8911yescharacteristic
1154C2×C42—42no—
1155C2×C42—891no—
1156C2×C42—891no—
1157C2×C42—891no—
1158C2×C42—891no—
1159C2×C42—891no—
1160C2×C42—891no—
1161C2×C42—891no—
1162C2×C42—891no—
1163C2×C42—891no—
1164C2×C42—891no—
1165C2×C42—891no—
1166C2×C42—891no—
1167C2×C42—891no—
1168C2×C42C22×D8911yescharacteristic
1169C2×C42C22×D8911yescharacteristic
1170C2×C42C22×D8911yescharacteristic
1171C2×C42C22×D8911yescharacteristic
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#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95C22×D8911yescharacteristic
1205#95C22×D8911yescharacteristic
1206#95C22×D8911yescharacteristic
1207#95C22×D8911yescharacteristic
1208#95C22×D8911yescharacteristic
1209#95C22×D8911yescharacteristic
1210#95C22×D8911yescharacteristic
1211#95C22×D8911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—894no—
1219C24—891no—
1220C24—891no—
1221C24—891no—
1222C24—3561no—
1223C24—3561no—
1224C24—3561no—
1225C24—3561no—
1226C24—3561no—
1227C24—3561no—
1228C24C2×C4×D8914yes—
1229C24C23×D8911yescharacteristic
1230C24C23×D8911yescharacteristic
1231C24C23×D8911yescharacteristic
1232#41—35616no—
1233C2×Q8—894no—
1234C2×Q8—3561no—
1235C2×Q8—3561no—
1236C2×D4—894no—
1237C2×D4—894no—
1238C2×D4—894no—
1239C2×D4—894no—
1240C2×D4—894no—
1241C2×D4—894no—
1242C2×D4—894no—
1243C2×D4—894no—
1244C2×D4—894no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—35616no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—1782no—
1259C2×D4—1782no—
1260C2×D4—1782no—
1261C2×D4—1782no—
1262C2×D4—1782no—
1263C2×D4—1782no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—894no—
1281C22×C4—891no—
1282C22×C4—891no—
1283C22×C4—891no—
1284C22×C4—891no—
1285C22×C4—891no—
1286C22×C4—894no—
1287C22×C4—894no—
1288C22×C4—894no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—3561no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—3561no—
1310C22×C4—3561no—
1311C22×C4—3561no—
1312C22×C4—3561no—
1313C22×C4—3561no—
1314C22×C4—3561no—
1315C22×C4—3561no—
1316C22×C4—3561no—
1317C22×C4—3561no—
1318C22×C4—3561no—
1319C22×C4—3561no—
1320C22×C4—3561no—
1321C22×C4—3561no—
1322C22×C4—1782no—
1323C22×C4C2×C4×D8914yes—
1324C22×C4C2×C4×D8914yes—
1325C22×C4C23×D8911yescharacteristic
1326C22×C4C23×D8911yescharacteristic
1327C22×C4C23×D8911yescharacteristic
1328C22×C4C23×D8911yescharacteristic
1329C22×C4C23×D8911yescharacteristic
1330C22×C4C23×D8911yescharacteristic
1331C22×C4C23×D8911yescharacteristic
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—894no—
1342C4⋊C4—894no—
1343C4⋊C4—894no—
1344C4⋊C4—894no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—3561no—
1356C4⋊C4—3561no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—894no—
1366C22⋊C4—894no—
1367C22⋊C4—894no—
1368C22⋊C4—894no—
1369C22⋊C4—894no—
1370C22⋊C4—894no—
1371C22⋊C4—894no—
1372C22⋊C4—894no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—1782no—
1398C22⋊C4—1782no—
1399C22⋊C4—1782no—
1400C22⋊C4—1782no—
1401C22⋊C4—1782no—
1402C22⋊C4—1782no—
1403C22⋊C4C2×C4×D8914yes—
1404C22⋊C4C2×C4×D8914yes—
1405C22⋊C4C2×C4×D8914yes—
1406C22⋊C4C2×C4×D8914yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—894no—
1412C42—3561no—
1413C42—3561no—
1414C42—3561no—
1415C42—3561no—
1416C42—3561no—
1417C42—3561no—
1418C42—3561no—
1419C42—3561no—
1420C42—3561no—
1421C42—3561no—
1422C42—3561no—
1423C42—1782no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—28no—
1441C23—44no—
1442C23—44no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—892no—
1448C23—892no—
1449C23—892no—
1450C23—3564no—
1451C23—3564no—
1452C23—3564no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23—1781no—
1457C23—1781no—
1458C23—1781no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1781no—
1467C23—1781no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—7122no—
1472C23—7122no—
1473C23—7122no—
1474C23—7122no—
1475C23C22×C4×D8912yes—
1476C23C22×C4×D8912yes—
1477C23C22×C4×D8912yes—
1478C23#1566805712yes—
1479C23#1566805812yes—
1480C23C24×D8911yescharacteristic
1481Q8—3564no—
1482D4—3564no—
1483D4—3564no—
1484D4—3564no—
1485D4—3564no—
1486D4—3564no—
1487D4—3564no—
1488D4—1788no—
1489D4—1788no—
1490D4—1788no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—28no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—892no—
1529C2×C4—892no—
1530C2×C4—892no—
1531C2×C4—892no—
1532C2×C4—892no—
1533C2×C4—3564no—
1534C2×C4—3564no—
1535C2×C4—3564no—
1536C2×C4—3564no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—1781no—
1569C2×C4—1781no—
1570C2×C4—1781no—
1571C2×C4—7122no—
1572C2×C4—7122no—
1573C2×C4—7122no—
1574C2×C4—7122no—
1575C2×C4—7122no—
1576C2×C4—7122no—
1577C2×C4C22×C4×D8912yes—
1578C2×C4C22×C4×D8912yes—
1579C2×C4C22×C4×D8912yes—
1580C2×C4C22×C4×D8912yes—
1581C2×C4#1566805712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—88no—
1603C22—3561no—
1604C22—3561no—
1605C22—3561no—
1606C22—3561no—
1607C22—3561no—
1608C22—3561no—
1609C22—3561no—
1610C22—3561no—
1611C22—3561no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—1782no—
1616C22—1782no—
1617C22—1782no—
1618C22—1782no—
1619C22—1782no—
1620C22—1782no—
1621C22—1782no—
1622C22—1782no—
1623C22—1782no—
1624C22—7128no—
1625C22#1915207014yes—
1626C22C23×C4×D8911yescharacteristic
1627C22C2×#1566805711yescharacteristic
1628C22C2×#1566805711yescharacteristic
1629C22C2×#1566805811yescharacteristic
1630C22#1915243411yescharacteristic
1631C22#1915243411yescharacteristic
1632C22#1915243411yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—1782no—
1654C4—1782no—
1655C4—1782no—
1656C4—1782no—
1657C4—1782no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—3562no—
1662C2—3562no—
1663C2—3562no—
1664C2C2×#1915207011yescharacteristic
1665C2#2603345311yescharacteristic
1666C2C4×#1566805711yescharacteristic
1667C2#2603442311yescharacteristic
1668C2#2603444211yescharacteristic
1669C2#2603477111yescharacteristic
1670C2#2603480411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC2×#388×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152238C2
hypercenterC2×#388D89
hypocenterC89#34470
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
2. #26023421C2semidirect
3. #26023419C2semidirect
4. #26023405C2semidirect
5. #26023392C2semidirect
6. #26023380C2semidirect
7. #26023296C2semidirect
8. #26023268C2semidirect
9. #26023240C2semidirect
10. #26023231C2semidirect
11. #26023222C2semidirect
12. #26023177C2semidirect
13. #26023101C2semidirect
14. #26023100C2semidirect
15. #26023079C2semidirect
16. C22⋊C4×C22⋊D89C2semidirect
17. #26023059C2semidirect
18. #26023040C2semidirect
19. #26023015C2semidirect
20. #26023002C2semidirect
21. #26022955C2semidirect
22. #26022940C2semidirect
23. #26022910C2semidirect
24. #26022905C2semidirect
25. #26022886C2semidirect
26. #26022882C2semidirect
27. #26022846C2semidirect
28. #26022827C2semidirect
29. C4×#15667995C2semidirect
30. #26022742C2semidirect
31. C2×#388×C89C2semidirect
34. #19152238C4semidirect
44. C2×#15667974C22semidirect
48. C2×C4×C22⋊D89C22semidirect
49. C2×C4×C22⋊D89C22semidirect
51. C2×#15667972C22semidirect
52. C2×#15667971C22semidirect
53. C2×#15667970C22semidirect
57. #19151504C22semidirect
58. #19151504C22semidirect
59. #19151502C22semidirect
60. #19151502C22semidirect
61. #19151500C22semidirect
62. #19151500C22semidirect
63. #19151499C22semidirect
68. #19151498C22semidirect
69. #19151495C22semidirect
70. #19151494C22semidirect
73. #19151492C22semidirect
78. #19151490C22semidirect
79. #19151490C22semidirect
80. #19151490C22semidirect
81. #19151489C22semidirect
82. #19151489C22semidirect
83. #19151488C22semidirect
84. #19151488C22semidirect
85. #19151488C22semidirect
86. #19151488C22semidirect
87. #19151487C22semidirect
88. #19151487C22semidirect
89. #19151487C22semidirect
92. #19151486C22semidirect
93. #19151485C22semidirect
94. #19151483C22semidirect
95. #19151483C22semidirect
96. #19151482C22semidirect
97. #19151482C22semidirect
98. #19151480C22semidirect
99. #19151480C22semidirect
100. #19151480C22semidirect
101. #19151479C22semidirect
102. #19151479C22semidirect
109. #19151477C22semidirect
110. #19151477C22semidirect
111. #19151476C22semidirect
112. #19151476C22semidirect
113. #19151476C22semidirect
114. #19151476C22semidirect
119. #19151475C22semidirect
124. #19151474C22semidirect
125. #19151473C22semidirect
126. #19151473C22semidirect
127. #19151472C22semidirect
128. #19151472C22semidirect
129. #19151472C22semidirect
130. #19151471C22semidirect
131. #19151471C22semidirect
132. #19151470C22semidirect
133. #19151469C22semidirect
134. #19151469C22semidirect
135. #19151465C22semidirect
136. #19151463C22semidirect
137. #19151462C22semidirect
138. #19151461C22semidirect
139. #19151460C22semidirect
140. #19151460C22semidirect
143. #19151458C22semidirect
144. #19151457C22semidirect
145. #19151457C22semidirect
147. #19151455C22semidirect
152. C4⋊C4×Dic89C22semidirect
153. C4⋊C4×Dic89C22semidirect
154. C4×#13083553C22semidirect
155. C4×#13083553C22semidirect
156. #19151449C22semidirect
158. C22⋊C4×Dic89C22semidirect
159. C22⋊C4×Dic89C22semidirect
160. C22⋊C4×Dic89C22semidirect
161. C4×#13083551C22semidirect
162. C4×#13083551C22semidirect
163. C4×#13083551C22semidirect
164. C4×#13083551C22semidirect
165. C4×#13083551C22semidirect
166. C4×#13083551C22semidirect
167. C4×C22⋊Dic89C22semidirect
168. C4×C22⋊Dic89C22semidirect
169. C4×C22⋊Dic89C22semidirect
170. #19151445C22semidirect
171. #19151445C22semidirect
172. #95×D89C22semidirect
173. C22×C4⋊C4×C89C22semidirect
177. C22×C42×C89C22semidirect
182. #388×C89C22semidirect
183. #388×C89C22semidirect
184. #388×C89C22semidirect
185. #388×C89C22semidirect
186. C2×#95×C89C22semidirect
187. C2×#95×C89C22semidirect
191. C2×#13083574C2×C4semidirect
197. C22×C22⋊D89C2×C4semidirect
215. #15667998C2×C4semidirect
216. #15667995C2×C4semidirect
217. #15667994C2×C4semidirect
218. #15667989C2×C4semidirect
219. #15667986C2×C4semidirect
220. #15667985C2×C4semidirect
221. #15667985C2×C4semidirect
222. #15667982C2×C4semidirect
223. #15667981C2×C4semidirect
229. C4×C22⋊D89C2×C4semidirect
231. #15667972C2×C4semidirect
290. C22⋊C4×D89C2×C4semidirect
350. C2×C22⋊C4×C89C2×C4semidirect
866. C2×#388D89semidirect
867. C89#34470semidirect
890. C22×C4⋊C4C2×D89semidirect
897. C22×C42C2×D89semidirect
938. #388C2×D89semidirect
939. #388C2×D89semidirect
940. #388C2×D89semidirect
941. #388C2×D89semidirect
1022. C2×#95C2×D89semidirect
1023. C2×#95C2×D89semidirect
1141. C2×C22⋊C4C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522382
#260234212
#260234192
#260234052
#260233922
#260233802
#260232962
#260232682
#260232402
#260232312
#260232222
#260231772
#260231012
#260231002
#260230792
C22⋊C4×C22⋊D892
#260230592
#260230402
#260230152
#260230022
#260229552
#260229402
#260229102
#260229052
#260228862
#260228822
#260228462
#260228272
C4×#156679952
#260227422
C2×#388×C892
#3447089