Finite Group Databasebeta

← #36761482

Subgroups — #36761482

Order 22784.

2432 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152190C211yesmaximal, characteristic, complemented
2C2×#19152105C211yesmaximal, characteristic, complemented
3#26028543C211yesmaximal, characteristic, complemented
4#26028538C211yesmaximal, characteristic, complemented
5#26026958C211yesmaximal, characteristic, complemented
6#26026947C211yesmaximal, characteristic, complemented
7#26026913C211yesmaximal, characteristic, complemented
8#26026902C211yesmaximal, characteristic, complemented
9#26026872C211yesmaximal, characteristic, complemented
10#26026829C211yesmaximal, characteristic, complemented
11#26026818C211yesmaximal, characteristic, complemented
12#26026644C211yesmaximal, characteristic, complemented
13#26026622C211yesmaximal, characteristic, complemented
14#26026619C211yesmaximal, characteristic, complemented
15#26026606C211yesmaximal, characteristic, complemented
16#26026598C211yesmaximal, characteristic, complemented
17#26026595C211yesmaximal, characteristic, complemented
18#26026591C211yesmaximal, characteristic, complemented
19#26026580C211yesmaximal, characteristic, complemented
20#26026579C211yesmaximal, characteristic, complemented
21#26026173C211yesmaximal, characteristic, complemented
22#26026095C211yesmaximal, characteristic, complemented
23#26025946C211yesmaximal, characteristic, complemented
24#26025876C211yesmaximal, characteristic, complemented
25#26025845C211yesmaximal, characteristic, complemented
26#26025834C211yesmaximal, characteristic, complemented
27#26025601C211yesmaximal, characteristic, complemented
28#26025450C211yesmaximal, characteristic, complemented
29#26023583C211yesmaximal, characteristic, complemented
30#26022894C211yesmaximal, characteristic, complemented
31C89×#2407C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33#19152190—28no—
34C2×#15668006C2211yescharacteristic
35C2×#15668005C2211yescharacteristic, complemented
36C2×#15668004C2211yescharacteristic, complemented
37C2×#15668002C2211yescharacteristic, complemented
38#19152105—28no—
39C2×#15667996C2211yescharacteristic
40C2×#15667995C2211yescharacteristic
41C2×#15667994C2211yescharacteristic
42C2×#15667994C2211yescharacteristic
43C2×#15667993C2211yescharacteristic
44C2×#15667993C2211yescharacteristic
45C2×#15667993C2211yescharacteristic
46C2×#15667993C2211yescharacteristic, complemented
47C2×#15667993C2211yescharacteristic, complemented
48C2×#15667991C2211yescharacteristic, complemented
49C2×#15667990C2211yescharacteristic
50C2×#15667990C2211yescharacteristic
51C2×#15667989C2211yescharacteristic
52C2×#15667989C2211yescharacteristic, complemented
53C2×#15667988C2211yescharacteristic
54C2×#15667988C2211yescharacteristic
55C2×#15667984C2211yescharacteristic
56C2×#15667983C2211yescharacteristic
57C2×#15667983C2211yescharacteristic
58C2×#15667980C2211yescharacteristic
59C2×#15667980C2211yescharacteristic
60C2×#15667980C2211yescharacteristic
61C2×C4×C22⋊D89C2211yescharacteristic
62C2×C4×C22⋊D89C2211yescharacteristic
63C2×C4×C22⋊D89C2211yescharacteristic
64C2×C4×C22⋊D89C2211yescharacteristic
65C2×#15667971C2211yescharacteristic
66C22×#13083553C2211yescharacteristic, complemented
67#19151540C2211yescharacteristic, complemented
68#19151534C2211yescharacteristic
69#19151532C2211yescharacteristic, complemented
70#19151532C2211yescharacteristic, complemented
71#19151532C2211yescharacteristic, complemented
72#19151531C2211yescharacteristic, complemented
73#19151530C2211yescharacteristic, complemented
74#19151528C2211yescharacteristic, complemented
75#19151528C2211yescharacteristic, complemented
76#19151527C2211yescharacteristic
77#19151527C2211yescharacteristic
78#19151526C2211yescharacteristic
79#19151526C2211yescharacteristic, complemented
80#19151526C2211yescharacteristic, complemented
81#19151526C2211yescharacteristic, complemented
82#19151524C2211yescharacteristic
83#19151522C2211yescharacteristic
84#19151521C2211yescharacteristic
85#19151521C2211yescharacteristic, complemented
86#19151521C2211yescharacteristic, complemented
87#19151521C2211yescharacteristic, complemented
88#19151521C2211yescharacteristic, complemented
89#19151521C2211yescharacteristic, complemented
90#19151520C2211yescharacteristic
91#19151520C2211yescharacteristic
92#19151520C2211yescharacteristic
93#19151518C2211yescharacteristic, complemented
94#19151517C2211yescharacteristic, complemented
95#19151517C2211yescharacteristic, complemented
96#19151514C2211yescharacteristic
97#19151514C2211yescharacteristic
98#19151513C2211yescharacteristic
99#19151513C2211yescharacteristic
100#19151513C2211yescharacteristic
101#19151513C2211yescharacteristic
102#19151512C2211yescharacteristic
103#19151512C2211yescharacteristic
104#19151512C2211yescharacteristic
105#19151512C2211yescharacteristic, complemented
106#19151512C2211yescharacteristic, complemented
107#19151510C2211yescharacteristic, complemented
108#19151506C2211yescharacteristic
109#19151506C2211yescharacteristic
110#19151506C2211yescharacteristic
111#19151501C2211yescharacteristic
112#19151501C2211yescharacteristic, complemented
113#19151498C2211yescharacteristic
114#19151498C2211yescharacteristic
115#19151498C2211yescharacteristic
116#19151498C2211yescharacteristic
117#19151498C2211yescharacteristic
118#19151497C2211yescharacteristic, complemented
119#19151495C2211yescharacteristic, complemented
120#19151495C2211yescharacteristic, complemented
121#19151493C2211yescharacteristic, complemented
122#19151493C2211yescharacteristic, complemented
123#19151491C2211yescharacteristic
124#19151491C2211yescharacteristic, complemented
125#19151491C2211yescharacteristic, complemented
126#19151490C2211yescharacteristic
127#19151489C2211yescharacteristic
128#19151488C2211yescharacteristic
129#19151488C2211yescharacteristic
130#19151486C2211yescharacteristic
131#19151486C2211yescharacteristic
132#19151486C2211yescharacteristic, complemented
133#19151486C2211yescharacteristic, complemented
134#19151486C2211yescharacteristic, complemented
135#19151483C2211yescharacteristic, complemented
136#19151483C2211yescharacteristic, complemented
137#19151482C2211yescharacteristic, complemented
138#19151479C2211yescharacteristic, complemented
139#19151478C2211yescharacteristic
140#19151478C2211yescharacteristic
141#19151478C2211yescharacteristic, complemented
142#19151477C2211yescharacteristic
143#19151475C2211yescharacteristic
144#19151475C2211yescharacteristic
145#19151474C2211yescharacteristic
146#19151474C2211yescharacteristic
147#19151473C2211yescharacteristic
148#19151473C2211yescharacteristic, complemented
149#19151473C2211yescharacteristic, complemented
150#19151472C2211yescharacteristic
151#19151472C2211yescharacteristic
152#19151472C2211yescharacteristic
153#19151472C2211yescharacteristic
154#19151471C2211yescharacteristic
155#19151471C2211yescharacteristic
156#19151471C2211yescharacteristic, complemented
157#19151471C2211yescharacteristic, complemented
158#19151471C2211yescharacteristic, complemented
159#19151469C2211yescharacteristic
160#19151469C2211yescharacteristic
161#19151467C2211yescharacteristic, complemented
162#19151462C2211yescharacteristic, complemented
163#19151461C2211yescharacteristic, complemented
164#19151460C2211yescharacteristic
165#19151460C2211yescharacteristic
166#19151457C2211yescharacteristic
167#19151457C2211yescharacteristic
168#19151456C2211yescharacteristic
169#19151453C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172#19151449C2211yescharacteristic, complemented
173#19151443C2211yescharacteristic, complemented
174C22×#41×C89C2211yescharacteristic
175C2×C22⋊Q8×C89C2211yescharacteristic, complemented
176C2×#121×C89C2211yescharacteristic
177C2×C4×D4×C89C2211yescharacteristic, complemented
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic, complemented
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic, complemented
182#391×C89C2211yescharacteristic, complemented
183#390×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic, complemented
186#385×C89C2211yescharacteristic
187#385×C89C2211yescharacteristic, complemented
188#380×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C22×Dic178C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C22×C4×D89—24no—
201C22×C4×D89—42no—
202C22×C4×D89—42no—
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207#15668006—24no—
208#15668005—24no—
209#15668004—24no—
210#15668002—24no—
211#15667996—24no—
212#15667995—24no—
213#15667994—24no—
214#15667994—42no—
215#15667993—24no—
216#15667993—24no—
217#15667993—24no—
218#15667993—42no—
219#15667993—42no—
220#15667991—24no—
221#15667990—24no—
222#15667990—42no—
223#15667989—24no—
224#15667989—42no—
225#15667988—24no—
226#15667988—24no—
227#15667984—24no—
228#15667983—24no—
229#15667983—24no—
230#15667980—24no—
231#15667980—24no—
232#15667980—42no—
233C4×C22⋊D89—24no—
234C4×C22⋊D89—24no—
235C4×C22⋊D89—24no—
236C4×C22⋊D89D418yescomplemented
237#15667971—24no—
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×#13083553—24no—
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C2×#13083553C2311yescharacteristic
262C2×#13083553C2311yescharacteristic
263C2×#13083553C2311yescharacteristic
264C2×#13083553C2311yescharacteristic
265C2×#13083553C2311yescharacteristic
266C2×#13083553C2311yescharacteristic
267C2×#13083553C2311yescharacteristic
268C2×#13083553C2311yescharacteristic
269C2×#13083553C2311yescharacteristic
270C2×#13083553C2311yescharacteristic
271C2×#13083553C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
277C2×C22⋊Dic89C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×C22⋊Dic89C2311yescharacteristic
287C2×C22⋊Dic89C2311yescharacteristic
288C2×C22⋊Dic89C2311yescharacteristic
289C2×C22⋊Dic89C2311yescharacteristic
290C2×C22⋊Dic89C2311yescharacteristic
291C2×C22⋊Dic89C2311yescharacteristic
292C2×C22⋊Dic89C2311yescharacteristic
293C2×C22⋊Dic89C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C2×C4×Dic89C2311yescharacteristic
314C2×C4×Dic89C2311yescharacteristic
315C2×C4×Dic89C2311yescharacteristic
316C2×C4×Dic89C2311yescharacteristic
317C2×C4×Dic89C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344C2×#41×C89—24no—
345C2×#41×C89—42no—
346C2×#41×C89—42no—
347C22×Q8×C89C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C22×D4×C89C2311yescharacteristic
350C22×D4×C89C2311yescharacteristic
351C22×D4×C89C2311yescharacteristic
352C22×D4×C89C2311yescharacteristic
353C22×D4×C89C2311yescharacteristic
354C23×C4×C89C2311yescharacteristic
355C23×C4×C89C2311yescharacteristic
356C23×C4×C89C2311yescharacteristic
357C23×C4×C89C2311yescharacteristic
358C22⋊Q8×C89—42no—
359#121×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C22⋊C4×C89C2311yescharacteristic
377C2×C22⋊C4×C89C2311yescharacteristic
378C2×C42×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C23×D89—22no—
386C23×D89—22no—
387C23×D89—22no—
388C23×D89—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C2×Dic178—22no—
395C2×Dic178—41no—
396C2×Dic178—41no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89C2×D414yes—
415C22×Dic89—22no—
416C22×Dic89—22no—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—41no—
420C22×Dic89—41no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—22no—
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—416no—
450C2×C4×D89C2×D414yes—
451C4⋊Dic89—22no—
452C4⋊Dic89—22no—
453C4⋊Dic89—22no—
454C4⋊Dic89—22no—
455C4⋊Dic89—22no—
456C4⋊Dic89—41no—
457C4⋊Dic89—41no—
458C4⋊Dic89—41no—
459C4⋊Dic89—41no—
460#13083553—22no—
461#13083553—22no—
462#13083553—22no—
463#13083553—22no—
464#13083553—22no—
465#13083553—22no—
466#13083553—22no—
467#13083553—22no—
468#13083553—22no—
469#13083553—22no—
470#13083553—22no—
471#13083553—22no—
472#13083553—22no—
473#13083553—22no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478#13083553—41no—
479#13083553—41no—
480#13083553—41no—
481#13083553—41no—
482#13083553—41no—
483#13083553C2×D414yes—
484C22⋊Dic89—22no—
485C22⋊Dic89—22no—
486C22⋊Dic89—22no—
487C22⋊Dic89—22no—
488C22⋊Dic89—22no—
489C22⋊Dic89—22no—
490C22⋊Dic89—22no—
491C22⋊Dic89—22no—
492C22⋊Dic89—22no—
493C22⋊Dic89—22no—
494C22⋊Dic89—41no—
495C22⋊Dic89—41no—
496C22⋊Dic89—41no—
497C22⋊Dic89—41no—
498C22⋊Dic89—41no—
499C22⋊Dic89—41no—
500C22⋊Dic89—41no—
501C22⋊Dic89—41no—
502C22⋊Dic89—41no—
503C22⋊Dic89—41no—
504C22⋊Dic89—41no—
505C22⋊Dic89C2×D414yes—
506#13083551—22no—
507#13083551—22no—
508#13083551—22no—
509#13083551—22no—
510#13083551—22no—
511#13083551—22no—
512#13083551—22no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551C2×D414yes—
524C4×Dic89—22no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C4×Dic89—41no—
529C4×Dic89C2×D414yes—
530C24×C89C2411yescharacteristic
531C24×C89C2411yescharacteristic
532C24×C89C2411yescharacteristic
533C24×C89C2411yescharacteristic
534#41×C89—416no—
535C2×Q8×C89—22no—
536C2×Q8×C89—22no—
537C2×Q8×C89—41no—
538C2×D4×C89—22no—
539C2×D4×C89—22no—
540C2×D4×C89—22no—
541C2×D4×C89—22no—
542C2×D4×C89—22no—
543C2×D4×C89—22no—
544C2×D4×C89—22no—
545C2×D4×C89—22no—
546C2×D4×C89—41no—
547C2×D4×C89—41no—
548C2×D4×C89—41no—
549C2×D4×C89—41no—
550C2×D4×C89—41no—
551C2×D4×C89—41no—
552C2×D4×C89—41no—
553C2×D4×C89—41no—
554C2×D4×C89—41no—
555C2×D4×C89—41no—
556C22×C4×C89—22no—
557C22×C4×C89—22no—
558C22×C4×C89—22no—
559C22×C4×C89—22no—
560C22×C4×C89—22no—
561C22×C4×C89—41no—
562C22×C4×C89—41no—
563C22×C4×C89—41no—
564C22×C4×C89—41no—
565C22×C4×C89—41no—
566C22×C4×C89—41no—
567C22×C4×C89C2×D414yes—
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
579C4⋊C4×C89—22no—
580C4⋊C4×C89—22no—
581C4⋊C4×C89—41no—
582C4⋊C4×C89—41no—
583C4⋊C4×C89—41no—
584C22⋊C4×C89—22no—
585C22⋊C4×C89—22no—
586C22⋊C4×C89—22no—
587C22⋊C4×C89—22no—
588C22⋊C4×C89—41no—
589C22⋊C4×C89—41no—
590C22⋊C4×C89—41no—
591C22⋊C4×C89—41no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C22⋊C4×C89—41no—
596C42×C89—22no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—21no—
616C23×C89—21no—
617C23×C89—21no—
618C23×C89—21no—
619C23×C89—21no—
620C23×C89—21no—
621C23×C89—21no—
622C23×C89—21no—
623C23×C89C22×D412yes—
624C23×C89H(5,𝔽2)12yes—
625C23×C89C2511yescharacteristic
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—21no—
632C22×D89—21no—
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—21no—
636C22×D89—21no—
637C22×D89—21no—
638C22×D89—44no—
639C22×D89—44no—
640C22×D89—44no—
641C22×D89—44no—
642C22×D89—44no—
643C22×D89—44no—
644C22×D89—44no—
645C22×D89C22×D412yes—
646C22×D892−1+412yes—
647Q8×C89—44no—
648D4×C89—44no—
649D4×C89—44no—
650D4×C89—44no—
651D4×C89—44no—
652D4×C89—82no—
653D4×C89—82no—
654C2×C4×C89—28no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—21no—
678C2×C4×C89—21no—
679C2×C4×C89—21no—
680C2×C4×C89—21no—
681C2×C4×C89—21no—
682C2×C4×C89—21no—
683C2×C4×C89—21no—
684C2×C4×C89—21no—
685C2×C4×C89—44no—
686C2×C4×C89—44no—
687C2×C4×C89—82no—
688C2×C4×C89C22×D412yes—
689C2×C4×C89C22×D412yes—
690C2×C4×C89H(5,𝔽2)12yes—
691C22⋊D89—44no—
692C22⋊D89—44no—
693C22⋊D89—44no—
694C22⋊D89—44no—
695C22⋊D89—82no—
696C22⋊D89—82no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—21no—
728C2×Dic89—21no—
729C2×Dic89—21no—
730C2×Dic89—21no—
731C2×Dic89—21no—
732C2×Dic89—21no—
733C2×Dic89—21no—
734C2×Dic89—21no—
735C2×Dic89—21no—
736C2×Dic89—44no—
737C2×Dic89—44no—
738C2×Dic89—82no—
739C2×Dic89C22×D412yes—
740C2×Dic89C22×D412yes—
741C2×Dic89C22×D412yes—
742C4×D89—44no—
743C4×D89—44no—
744C4×D89—44no—
745C4×D89—44no—
746Dic178—82no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—41no—
772C22×C89—41no—
773C22×C89—41no—
774C22×C89—41no—
775C22×C89C23×D411yescharacteristic
776C22×C89C2×H(5,𝔽2)11yescharacteristic
777C22×C89C2×H(5,𝔽2)11yescharacteristic
778C22×C89C2×2−1+411yescharacteristic
779C22×C89#58511yescharacteristic
780C22×C89#58511yescharacteristic
781C22×C89#58511yescharacteristic
782C2×D89—22no—
783C2×D89—22no—
784C2×D89—22no—
785C2×D89—22no—
786C2×D89—22no—
787C2×D89—22no—
788C2×D89—416no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—22no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808Dic89—22no—
809Dic89—22no—
810Dic89—22no—
811Dic89—41no—
812Dic89—41no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822#36723—891nomaximal, Sylow
823C2×C89—42no—
824C2×C89—42no—
825C2×C89—81no—
826C2×C89—81no—
827C2×C89#344911yescharacteristic
828C2×C89#348411yescharacteristic
829C2×C89#348911yescharacteristic
830C2×C89#353311yescharacteristic
831C2×C89#353511yescharacteristic
832C2×C89#353911yescharacteristic
833C2×C89#354111yescharacteristic
834D89—42no—
835D89—42no—
836C2×#539—891no—
837C2×#525—891no—
838#2849—891no—
839#2848—891no—
840#2707—891no—
841#2706—891no—
842#2704—891no—
843#2703—891no—
844#2701—891no—
845#2698—891no—
846#2697—891no—
847#2685—891no—
848#2683—891no—
849#2682—891no—
850#2681—891no—
851#2681—891no—
852#2680—891no—
853#2680—891no—
854#2678—891no—
855#2678—891no—
856#2638—891no—
857#2630—891no—
858#2611—891no—
859#2603—891no—
860#2601—891no—
861#2600—891no—
862#2579—891no—
863#2566—891no—
864#2407D8911yescharacteristic, complemented
865#2406—891no—
866#2319—891no—
867C89#3672311yescharacteristic, complemented, Sylow
868C22×#41C2×D8911yescharacteristic
869C24×C4—891no—
870#539—1788no—
871C2×#126—891no—
872C2×#126—891no—
873C2×#125—891no—
874C2×#125—891no—
875#525—1788no—
876C2×#123—891no—
877C2×#123—891no—
878C2×#123—891no—
879C2×#123—891no—
880C2×#123—891no—
881C2×#123—891no—
882C2×#123—891no—
883C2×#123—891no—
884C2×#123—891no—
885C2×C22⋊Q8—891no—
886C2×C22⋊Q8—891no—
887C2×C22⋊Q8—891no—
888C2×C22⋊Q8—891no—
889C2×C22⋊Q8—891no—
890C2×C22⋊Q8—891no—
891C2×C22⋊Q8—891no—
892C2×C22⋊Q8C2×D8911yescharacteristic, complemented
893C2×#121—891no—
894C2×#121—891no—
895C2×#121—891no—
896C2×#121C2×D8911yescharacteristic
897C2×#120—891no—
898C2×#120—891no—
899C2×#120—891no—
900C2×C4×D4—891no—
901C2×C4×D4—891no—
902C2×C4×D4—891no—
903C2×C4×D4—891no—
904C2×C4×D4C2×D8911yescharacteristic, complemented
905C2×#117—891no—
906C22×C4⋊C4—891no—
907#400—891no—
908#399—891no—
909#398—891no—
910#398—891no—
911#398—891no—
912#398—891no—
913#398—891no—
914#398—891no—
915#398—891no—
916#397—891no—
917#397—891no—
918#397—891no—
919#397—891no—
920#397—891no—
921#397—891no—
922#397—891no—
923#396—891no—
924#396—891no—
925#396—891no—
926#396—891no—
927#396—891no—
928#396—891no—
929#396—891no—
930#396—891no—
931#396—891no—
932#396—891no—
933#395—891no—
934#395—891no—
935#395—891no—
936#394—891no—
937#394—891no—
938#394—891no—
939#394—891no—
940#394—891no—
941#394—891no—
942#394—891no—
943#394—891no—
944#394—891no—
945#394—891no—
946#394—891no—
947#394C2×D8911yescharacteristic
948#394C2×D8911yescharacteristic, complemented
949#393—891no—
950#392—891no—
951#392—891no—
952#392—891no—
953#392C2×D8911yescharacteristic
954#392C2×D8911yescharacteristic, complemented
955#391C2×D8911yescharacteristic, complemented
956#390—891no—
957#390—891no—
958#390—891no—
959#390—891no—
960#390—891no—
961#390—891no—
962#390—891no—
963#390C2×D8911yescharacteristic
964#389—891no—
965#389—891no—
966#389—891no—
967#389—891no—
968#389—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388—891no—
974#388—891no—
975#388—891no—
976#388—891no—
977#388—891no—
978#388—891no—
979#388—891no—
980#388—891no—
981#387—891no—
982#387—891no—
983#387—891no—
984#387—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386—891no—
993#386C2×D8911yescharacteristic
994#386C2×D8911yescharacteristic, complemented
995#385—891no—
996#385—891no—
997#385—891no—
998#385—891no—
999#385—891no—
1000#385—891no—
1001#385—891no—
1002#385—891no—
1003#385—891no—
1004#385—891no—
1005#385—891no—
1006#385—891no—
1007#385—891no—
1008#385—891no—
1009#385C2×D8911yescharacteristic
1010#385C2×D8911yescharacteristic, complemented
1011#384—891no—
1012#382—891no—
1013#381—891no—
1014#381—891no—
1015#381—891no—
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380C2×D8911yescharacteristic, complemented
1020#379—891no—
1021#379—891no—
1022#379—891no—
1023C4×C4⋊C4—891no—
1024#376—891no—
1025C25—891no—
1026C2×#41—24no—
1027C2×#41—42no—
1028C2×#41—42no—
1029C22×Q8—891no—
1030C22×Q8C22×D8911yescharacteristic
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4C22×D8911yescharacteristic
1038C22×D4C22×D8911yescharacteristic
1039C22×D4C22×D8911yescharacteristic
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C23×C4—891no—
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—3562no—
1051C23×C4—3562no—
1052C23×C4—1784no—
1053C23×C4C22×D8911yescharacteristic
1054C23×C4C22×D8911yescharacteristic
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057#126—1784no—
1058#126—1784no—
1059#125—1784no—
1060#125—1784no—
1061#123—3562no—
1062#123—3562no—
1063#123—3562no—
1064#123—1784no—
1065#123—1784no—
1066#123—1784no—
1067#123—1784no—
1068#123—1784no—
1069#123—1784no—
1070C22⋊Q8—42no—
1071C22⋊Q8—3562no—
1072C22⋊Q8—3562no—
1073C22⋊Q8—1784no—
1074C22⋊Q8—1784no—
1075C22⋊Q8—1784no—
1076C22⋊Q8—1784no—
1077C22⋊Q8—1784no—
1078#121—42no—
1079#121—1784no—
1080#121—1784no—
1081#121—1784no—
1082#120—3562no—
1083#120—1784no—
1084#120—1784no—
1085C4×D4—24no—
1086C4×D4—898no—
1087C4×D4—1784no—
1088C4×D4—1784no—
1089C4×D4—1784no—
1090#117—1784no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4—891no—
1103C2×C4⋊C4—891no—
1104C2×C4⋊C4—891no—
1105C2×C4⋊C4—891no—
1106C2×C4⋊C4—891no—
1107C2×C4⋊C4—891no—
1108C2×C4⋊C4—891no—
1109C2×C4⋊C4—891no—
1110C2×C4⋊C4—891no—
1111C2×C4⋊C4—891no—
1112C2×C4⋊C4—891no—
1113C2×C4⋊C4—891no—
1114C2×C4⋊C4—891no—
1115C2×C4⋊C4—891no—
1116C2×C4⋊C4—891no—
1117C2×C4⋊C4—891no—
1118C2×C4⋊C4—891no—
1119C2×C4⋊C4—891no—
1120C2×C4⋊C4—891no—
1121C2×C4⋊C4—891no—
1122C2×C4⋊C4—891no—
1123C2×C4⋊C4—891no—
1124C2×C4⋊C4—1784no—
1125C2×C4⋊C4C22×D8911yescharacteristic
1126C2×C4⋊C4C22×D8911yescharacteristic
1127C2×C4⋊C4C22×D8911yescharacteristic
1128C2×C4⋊C4C22×D8911yescharacteristic
1129C2×C4⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—891no—
1146C2×C22⋊C4—891no—
1147C2×C22⋊C4—891no—
1148C2×C22⋊C4—891no—
1149C2×C22⋊C4—891no—
1150C2×C22⋊C4—891no—
1151C2×C22⋊C4—891no—
1152C2×C22⋊C4—891no—
1153C2×C22⋊C4—891no—
1154C2×C22⋊C4—891no—
1155C2×C22⋊C4—891no—
1156C2×C22⋊C4—891no—
1157C2×C22⋊C4—891no—
1158C2×C22⋊C4—891no—
1159C2×C22⋊C4—891no—
1160C2×C22⋊C4—891no—
1161C2×C22⋊C4—891no—
1162C2×C22⋊C4—891no—
1163C2×C22⋊C4—891no—
1164C2×C22⋊C4—891no—
1165C2×C22⋊C4—891no—
1166C2×C22⋊C4—891no—
1167C2×C22⋊C4—891no—
1168C2×C22⋊C4—891no—
1169C2×C22⋊C4—891no—
1170C2×C22⋊C4C22×D8911yescharacteristic
1171C2×C22⋊C4C22×D8911yescharacteristic
1172C2×C22⋊C4C22×D8911yescharacteristic
1173C2×C22⋊C4C22×D8911yescharacteristic
1174C2×C22⋊C4C22×D8911yescharacteristic
1175C2×C22⋊C4C22×D8911yescharacteristic
1176C2×C22⋊C4C22×D8911yescharacteristic
1177C2×C22⋊C4C22×D8911yescharacteristic
1178C2×C22⋊C4C22×D8911yescharacteristic
1179C2×C22⋊C4C22×D8911yescharacteristic
1180C2×C22⋊C4C22×D8911yescharacteristic
1181C2×C22⋊C4C22×D8911yescharacteristic
1182C2×C42—891no—
1183C2×C42—891no—
1184C2×C42—891no—
1185C2×C42—891no—
1186C2×C42—891no—
1187C2×C42—891no—
1188C2×C42C22×D8911yescharacteristic
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95—891no—
1205#95—891no—
1206#95—891no—
1207#95—891no—
1208#95—891no—
1209#95—891no—
1210#95—891no—
1211#95—891no—
1212#95—891no—
1213#95—891no—
1214#95—891no—
1215#95C22×D8911yescharacteristic
1216#95C22×D8911yescharacteristic
1217#95C22×D8911yescharacteristic
1218#95C22×D8911yescharacteristic
1219#95C22×D8911yescharacteristic
1220#95C22×D8911yescharacteristic
1221C24—891no—
1222C24—891no—
1223C24—3561no—
1224C24—3561no—
1225C24—3561no—
1226C24—3561no—
1227C24—1782no—
1228C24—1782no—
1229C24—1782no—
1230C24C23×D8911yescharacteristic
1231C24C23×D8911yescharacteristic
1232C24C23×D8911yescharacteristic
1233C24C23×D8911yescharacteristic
1234#41—416no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—3561no—
1239C2×Q8—3561no—
1240C2×Q8—1782no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—894no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—3561no—
1265C2×D4—3561no—
1266C2×D4—3561no—
1267C2×D4—3561no—
1268C2×D4—3561no—
1269C2×D4—3561no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C2×D4—1782no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—894no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—891no—
1300C22×C4—891no—
1301C22×C4—891no—
1302C22×C4—891no—
1303C22×C4—35616no—
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—1782no—
1316C22×C4—1782no—
1317C22×C4—1782no—
1318C22×C4—1782no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4D4×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
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—894no—
1342C4⋊C4—3561no—
1343C4⋊C4—3561no—
1344C4⋊C4—3561no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—1782no—
1356C4⋊C4—1782no—
1357C4⋊C4—1782no—
1358C4⋊C4—1782no—
1359C4⋊C4—1782no—
1360C4⋊C4—1782no—
1361C4⋊C4—1782no—
1362C4⋊C4—1782no—
1363C4⋊C4—1782no—
1364C4⋊C4—1782no—
1365C4⋊C4—1782no—
1366C4⋊C4—1782no—
1367C4⋊C4—1782no—
1368C4⋊C4—1782no—
1369C4⋊C4—1782no—
1370C4⋊C4—1782no—
1371C4⋊C4—1782no—
1372C4⋊C4—1782no—
1373C4⋊C4—1782no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—894no—
1387C22⋊C4—894no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—3561no—
1408C22⋊C4—3561no—
1409C22⋊C4—1782no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C22⋊C4—1782no—
1418C22⋊C4—1782no—
1419C22⋊C4—1782no—
1420C22⋊C4—1782no—
1421C22⋊C4—1782no—
1422C22⋊C4—1782no—
1423C22⋊C4—1782no—
1424C22⋊C4—1782no—
1425C22⋊C4—1782no—
1426C42—22no—
1427C42—894no—
1428C42—3561no—
1429C42—3561no—
1430C42—3561no—
1431C42—3561no—
1432C42—1782no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—892no—
1460C23—892no—
1461C23—3564no—
1462C23—3564no—
1463C23—3564no—
1464C23—3564no—
1465C23—3564no—
1466C23—3564no—
1467C23—3564no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23C2×D4×D8912yes—
1481C23#1566805712yes—
1482C23C24×D8911yescharacteristic
1483Q8—44no—
1484Q8—7122no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—82no—
1490D4—82no—
1491D4—3564no—
1492D4—3564no—
1493D4—3564no—
1494D4—3564no—
1495D4—7122no—
1496D4—7122no—
1497C2×C4—28no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—82no—
1531C2×C4—892no—
1532C2×C4—892no—
1533C2×C4—892no—
1534C2×C4—3564no—
1535C2×C4—3564no—
1536C2×C4—3564no—
1537C2×C4—3564no—
1538C2×C4—3564no—
1539C2×C4—3564no—
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—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—1781no—
1576C2×C4—1781no—
1577C2×C4—1781no—
1578C2×C4—1781no—
1579C2×C4—7122no—
1580C2×C4C2×D4×D8912yes—
1581C2×C4C2×D4×D8912yes—
1582C2×C4#1566805712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—35616no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—1782no—
1621C22—1782no—
1622C22—1782no—
1623C22—1782no—
1624C22—1782no—
1625C22—1782no—
1626C22C22×D4×D8911yescharacteristic
1627C22C2×#1566805711yescharacteristic
1628C22C2×#1566805711yescharacteristic
1629C222−1+4×D8911yescharacteristic
1630C22#1915243311yescharacteristic
1631C22#1915243411yescharacteristic
1632C22#1915243411yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—3561no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—1782no—
1656C4—1782no—
1657C4—1782no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—3562no—
1663C2—3562no—
1664C2#2603358211yescharacteristic
1665C2#2603388111yescharacteristic
1666C2#2603392711yescharacteristic
1667C2#2603441111yescharacteristic
1668C2#2603445311yescharacteristic
1669C2#2603450311yescharacteristic
1670C2#2603454311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2407C2
hypercenter#2407D89
hypocenterC89#36723
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2407

Complements

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

NH ≅ G/Ntype
1. C2×#19152190C2semidirect
2. C2×#19152105C2semidirect
3. #26028543C2semidirect
4. #26028538C2semidirect
5. #26026958C2semidirect
6. #26026947C2semidirect
7. #26026913C2semidirect
8. #26026902C2semidirect
9. #26026872C2semidirect
10. #26026829C2semidirect
11. #26026818C2semidirect
12. #26026644C2semidirect
13. #26026622C2semidirect
14. #26026619C2semidirect
15. #26026606C2semidirect
16. #26026598C2semidirect
17. #26026595C2semidirect
18. #26026591C2semidirect
19. #26026580C2semidirect
20. #26026579C2semidirect
21. #26026173C2semidirect
22. #26026095C2semidirect
23. #26025946C2semidirect
24. #26025876C2semidirect
25. #26025845C2semidirect
26. #26025834C2semidirect
27. #26025601C2semidirect
28. #26025450C2semidirect
29. #26023583C2semidirect
30. #26022894C2semidirect
31. C89×#2407C2semidirect
35. C2×#15668005C22semidirect
36. C2×#15668004C22semidirect
37. C2×#15668002C22semidirect
46. C2×#15667993C22semidirect
47. C2×#15667993C22semidirect
48. C2×#15667991C22semidirect
52. C2×#15667989C22semidirect
66. C22×#13083553C22semidirect
67. #19151540C22semidirect
69. #19151532C22semidirect
70. #19151532C22semidirect
71. #19151532C22semidirect
72. #19151531C22semidirect
73. #19151530C22semidirect
74. #19151528C22semidirect
75. #19151528C22semidirect
79. #19151526C22semidirect
80. #19151526C22semidirect
81. #19151526C22semidirect
85. #19151521C22semidirect
86. #19151521C22semidirect
87. #19151521C22semidirect
88. #19151521C22semidirect
89. #19151521C22semidirect
93. #19151518C22semidirect
94. #19151517C22semidirect
95. #19151517C22semidirect
105. #19151512C22semidirect
106. #19151512C22semidirect
107. #19151510C22semidirect
112. #19151501C22semidirect
118. #19151497C22semidirect
119. #19151495C22semidirect
120. #19151495C22semidirect
121. #19151493C22semidirect
122. #19151493C22semidirect
124. #19151491C22semidirect
125. #19151491C22semidirect
132. #19151486C22semidirect
133. #19151486C22semidirect
134. #19151486C22semidirect
135. #19151483C22semidirect
136. #19151483C22semidirect
137. #19151482C22semidirect
138. #19151479C22semidirect
141. #19151478C22semidirect
148. #19151473C22semidirect
149. #19151473C22semidirect
156. #19151471C22semidirect
157. #19151471C22semidirect
158. #19151471C22semidirect
161. #19151467C22semidirect
162. #19151462C22semidirect
163. #19151461C22semidirect
172. #19151449C22semidirect
173. #19151443C22semidirect
175. C2×C22⋊Q8×C89C22semidirect
177. C2×C4×D4×C89C22semidirect
179. #394×C89C22semidirect
181. #392×C89C22semidirect
182. #391×C89C22semidirect
185. #386×C89C22semidirect
187. #385×C89C22semidirect
188. #380×C89C22semidirect
236. C4×C22⋊D89D4semidirect
864. #2407D89semidirect
867. C89#36723semidirect
892. C2×C22⋊Q8C2×D89semidirect
904. C2×C4×D4C2×D89semidirect
948. #394C2×D89semidirect
954. #392C2×D89semidirect
955. #391C2×D89semidirect
994. #386C2×D89semidirect
1010. #385C2×D89semidirect
1019. #380C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521902
C2×#191521052
#260285432
#260285382
#260269582
#260269472
#260269132
#260269022
#260268722
#260268292
#260268182
#260266442
#260266222
#260266192
#260266062
#260265982
#260265952
#260265912
#260265802
#260265792
#260261732
#260260952
#260259462
#260258762
#260258452
#260258342
#260256012
#260254502
#260235832
#260228942
C89×#24072
#3672389