Finite Group Databasebeta

← #36761289

Subgroups — #36761289

Order 22784.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152216C211yesmaximal, characteristic, complemented
2C2×#19152105C211yesmaximal, characteristic, complemented
3#26028543C211yesmaximal, characteristic, complemented
4#26028538C211yesmaximal, characteristic, complemented
5#26026801C211yesmaximal, characteristic, complemented
6#26026782C211yesmaximal, characteristic, complemented
7#26026747C211yesmaximal, characteristic, complemented
8#26026728C211yesmaximal, characteristic, complemented
9#26026702C211yesmaximal, characteristic, complemented
10#26026653C211yesmaximal, characteristic, complemented
11#26026642C211yesmaximal, characteristic, complemented
12#26026629C211yesmaximal, characteristic, complemented
13#26026566C211yesmaximal, characteristic, complemented
14#26026547C211yesmaximal, characteristic, complemented
15#26026535C211yesmaximal, characteristic, complemented
16#26026532C211yesmaximal, characteristic, complemented
17#26026497C211yesmaximal, characteristic, complemented
18#26026483C211yesmaximal, characteristic, complemented
19#26026477C211yesmaximal, characteristic, complemented
20#26026455C211yesmaximal, characteristic, complemented
21#26026173C211yesmaximal, characteristic, complemented
22#26026095C211yesmaximal, characteristic, complemented
23#26025926C211yesmaximal, characteristic, complemented
24#26025866C211yesmaximal, characteristic, complemented
25#26025825C211yesmaximal, characteristic, complemented
26#26025815C211yesmaximal, characteristic, complemented
27#26025609C211yesmaximal, characteristic, complemented
28#26025432C211yesmaximal, characteristic, complemented
29#26023876C211yesmaximal, characteristic, complemented
30#26022886C211yesmaximal, characteristic, complemented
31C89×#2430C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33#19152216—28no—
34C2×#15668011C2211yescharacteristic, complemented
35C2×#15668010C2211yescharacteristic, complemented
36C2×#15668007C2211yescharacteristic
37C2×#15668005C2211yescharacteristic, complemented
38C2×#15667999C2211yescharacteristic
39C2×#15667999C2211yescharacteristic, complemented
40C2×#15667998C2211yescharacteristic
41C2×#15667998C2211yescharacteristic
42#19152105—28no—
43C2×#15667994C2211yescharacteristic
44C2×#15667994C2211yescharacteristic
45C2×#15667993C2211yescharacteristic
46C2×#15667993C2211yescharacteristic
47C2×#15667991C2211yescharacteristic, complemented
48C2×#15667990C2211yescharacteristic
49C2×#15667990C2211yescharacteristic
50C2×#15667989C2211yescharacteristic
51C2×#15667989C2211yescharacteristic, complemented
52C2×#15667988C2211yescharacteristic
53C2×#15667988C2211yescharacteristic
54C2×#15667984C2211yescharacteristic
55C2×#15667983C2211yescharacteristic
56C2×#15667983C2211yescharacteristic
57C2×#15667980C2211yescharacteristic
58C2×#15667980C2211yescharacteristic
59C2×#15667980C2211yescharacteristic
60C2×#15667977C2211yescharacteristic, complemented
61C2×C4×C22⋊D89C2211yescharacteristic
62C2×C4×C22⋊D89C2211yescharacteristic
63C2×C4×C22⋊D89C2211yescharacteristic
64C2×C4×C22⋊D89C2211yescharacteristic
65C2×#15667971C2211yescharacteristic
66C2×#15667968C2211yescharacteristic, complemented
67#19151539C2211yescharacteristic, complemented
68#19151538C2211yescharacteristic, complemented
69#19151535C2211yescharacteristic
70#19151534C2211yescharacteristic, complemented
71#19151534C2211yescharacteristic, complemented
72#19151533C2211yescharacteristic
73#19151532C2211yescharacteristic, complemented
74#19151532C2211yescharacteristic, complemented
75#19151532C2211yescharacteristic, complemented
76#19151531C2211yescharacteristic, complemented
77#19151527C2211yescharacteristic
78#19151527C2211yescharacteristic
79#19151526C2211yescharacteristic
80#19151526C2211yescharacteristic, complemented
81#19151526C2211yescharacteristic, complemented
82#19151524C2211yescharacteristic
83#19151521C2211yescharacteristic
84#19151521C2211yescharacteristic, complemented
85#19151521C2211yescharacteristic, complemented
86#19151521C2211yescharacteristic, complemented
87#19151519C2211yescharacteristic, complemented
88#19151519C2211yescharacteristic, complemented
89#19151518C2211yescharacteristic, complemented
90#19151514C2211yescharacteristic
91#19151514C2211yescharacteristic
92#19151513C2211yescharacteristic
93#19151513C2211yescharacteristic
94#19151513C2211yescharacteristic
95#19151513C2211yescharacteristic
96#19151512C2211yescharacteristic
97#19151512C2211yescharacteristic
98#19151512C2211yescharacteristic
99#19151512C2211yescharacteristic, complemented
100#19151512C2211yescharacteristic, complemented
101#19151512C2211yescharacteristic, complemented
102#19151512C2211yescharacteristic, complemented
103#19151511C2211yescharacteristic
104#19151511C2211yescharacteristic
105#19151510C2211yescharacteristic
106#19151510C2211yescharacteristic, complemented
107#19151510C2211yescharacteristic, complemented
108#19151506C2211yescharacteristic
109#19151506C2211yescharacteristic
110#19151506C2211yescharacteristic
111#19151505C2211yescharacteristic, complemented
112#19151501C2211yescharacteristic
113#19151498C2211yescharacteristic
114#19151498C2211yescharacteristic
115#19151498C2211yescharacteristic
116#19151495C2211yescharacteristic, complemented
117#19151493C2211yescharacteristic, complemented
118#19151493C2211yescharacteristic, complemented
119#19151492C2211yescharacteristic
120#19151492C2211yescharacteristic
121#19151492C2211yescharacteristic, complemented
122#19151491C2211yescharacteristic
123#19151491C2211yescharacteristic, complemented
124#19151488C2211yescharacteristic
125#19151487C2211yescharacteristic
126#19151487C2211yescharacteristic
127#19151487C2211yescharacteristic
128#19151486C2211yescharacteristic, complemented
129#19151485C2211yescharacteristic, complemented
130#19151485C2211yescharacteristic, complemented
131#19151484C2211yescharacteristic, complemented
132#19151483C2211yescharacteristic, complemented
133#19151483C2211yescharacteristic, complemented
134#19151480C2211yescharacteristic, complemented
135#19151480C2211yescharacteristic, complemented
136#19151479C2211yescharacteristic, complemented
137#19151478C2211yescharacteristic
138#19151478C2211yescharacteristic
139#19151478C2211yescharacteristic, complemented
140#19151477C2211yescharacteristic
141#19151477C2211yescharacteristic
142#19151477C2211yescharacteristic
143#19151477C2211yescharacteristic
144#19151475C2211yescharacteristic
145#19151474C2211yescharacteristic
146#19151474C2211yescharacteristic
147#19151473C2211yescharacteristic
148#19151473C2211yescharacteristic, complemented
149#19151472C2211yescharacteristic
150#19151472C2211yescharacteristic
151#19151472C2211yescharacteristic
152#19151472C2211yescharacteristic
153#19151471C2211yescharacteristic
154#19151471C2211yescharacteristic
155#19151471C2211yescharacteristic, complemented
156#19151471C2211yescharacteristic, complemented
157#19151471C2211yescharacteristic, complemented
158#19151471C2211yescharacteristic, complemented
159#19151469C2211yescharacteristic
160#19151469C2211yescharacteristic
161#19151465C2211yescharacteristic, complemented
162#19151462C2211yescharacteristic, complemented
163#19151460C2211yescharacteristic
164#19151460C2211yescharacteristic
165#19151458C2211yescharacteristic, complemented
166#19151458C2211yescharacteristic, complemented
167#19151457C2211yescharacteristic
168#19151457C2211yescharacteristic
169#19151456C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172#19151453C2211yescharacteristic
173C4×C22⋊Dic89C2211yescharacteristic, complemented
174C22×#41×C89C2211yescharacteristic
175C2×#123×C89C2211yescharacteristic, complemented
176C2×#121×C89C2211yescharacteristic
177C2×#121×C89C2211yescharacteristic, complemented
178#395×C89C2211yescharacteristic, complemented
179#394×C89C2211yescharacteristic
180#393×C89C2211yescharacteristic, complemented
181#392×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic, complemented
185#386×C89C2211yescharacteristic, complemented
186#385×C89C2211yescharacteristic
187#385×C89C2211yescharacteristic, complemented
188C2×#95×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C22×Dic178C2311yescharacteristic
191C22×Dic178C2311yescharacteristic
192C22×Dic178C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89—24no—
202C22×C4×D89—42no—
203C22×C4×D89—42no—
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208#15668011—24no—
209#15668010—42no—
210#15668007—24no—
211#15668005—24no—
212#15667999—24no—
213#15667999—42no—
214#15667998—24no—
215#15667998—24no—
216#15667994—24no—
217#15667994—42no—
218#15667993—24no—
219#15667993—24no—
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—
233#15667977—24no—
234C4×C22⋊D89—24no—
235C4×C22⋊D89—24no—
236C4×C22⋊D89—24no—
237C4×C22⋊D89D418yescomplemented
238#15667971—24no—
239#15667968—24no—
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×C4⋊Dic89C2311yescharacteristic
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×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C2×C4×Dic89C2311yescharacteristic
314C2×C4×Dic89C2311yescharacteristic
315C2×C4×Dic89C2311yescharacteristic
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
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
358C23×C4×C89C2311yescharacteristic
359#123×C89—24no—
360#121×C89—42no—
361#121×C89—42no—
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
377#95×C89C2311yescharacteristic
378#95×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C23×D89—22no—
386C23×D89—22no—
387C23×D89—22no—
388C23×D89—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C2×Dic178—22no—
395C2×Dic178—22no—
396C2×Dic178—22no—
397C2×Dic178—41no—
398C2×Dic178—41no—
399C2×Dic178—41no—
400C2×Dic178—41no—
401C2×Dic178—41no—
402C2×Dic178—41no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—22no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89—41no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89—41no—
420C2×C22⋊D89C2×D414yes—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—22no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C2×C4×D89—22no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—22no—
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—416no—
453C2×C4×D89C2×D414yes—
454C4⋊Dic89—22no—
455C4⋊Dic89—22no—
456C4⋊Dic89—22no—
457C4⋊Dic89—22no—
458C4⋊Dic89—41no—
459C4⋊Dic89—41no—
460C4⋊Dic89—41no—
461C4⋊Dic89—41no—
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—41no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477#13083553—41no—
478#13083553—41no—
479#13083553—41no—
480#13083553—41no—
481#13083553C2×D414yes—
482C22⋊Dic89—22no—
483C22⋊Dic89—22no—
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—41no—
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⋊Dic89C2×D414yes—
505#13083551—22no—
506#13083551—22no—
507#13083551—22no—
508#13083551—22no—
509#13083551—22no—
510#13083551—22no—
511#13083551—22no—
512#13083551—41no—
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#13083551C2×D414yes—
523C4×Dic89—22no—
524C4×Dic89—22no—
525C4×Dic89—22no—
526C4×Dic89—22no—
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—41no—
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×C89—41no—
568C22×C4×C89—41no—
569C22×C4×C89—41no—
570C22×C4×C89C2×D414yes—
571C22×C4×C89C2411yescharacteristic
572C22×C4×C89C2411yescharacteristic
573C22×C4×C89C2411yescharacteristic
574C22×C4×C89C2411yescharacteristic
575C22×C4×C89C2411yescharacteristic
576C22×C4×C89C2411yescharacteristic
577C22×C4×C89C2411yescharacteristic
578C22×C4×C89C2411yescharacteristic
579C22×C4×C89C2411yescharacteristic
580C22×C4×C89C2411yescharacteristic
581C22×C4×C89C2411yescharacteristic
582C4⋊C4×C89—22no—
583C4⋊C4×C89—22no—
584C4⋊C4×C89—22no—
585C4⋊C4×C89—41no—
586C22⋊C4×C89—22no—
587C22⋊C4×C89—22no—
588C22⋊C4×C89—22no—
589C22⋊C4×C89—22no—
590C22⋊C4×C89—22no—
591C22⋊C4×C89—41no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C22⋊C4×C89—41no—
596C22⋊C4×C89—41no—
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—82no—
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×C89—82no—
689C2×C4×C89C22×D412yes—
690C2×C4×C89C22×D412yes—
691C2×C4×C89H(5,𝔽2)12yes—
692C22⋊D89—44no—
693C22⋊D89—44no—
694C22⋊D89—44no—
695C22⋊D89—44no—
696C22⋊D89—82no—
697C22⋊D89—82no—
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—21no—
737C2×Dic89—44no—
738C2×Dic89—44no—
739C2×Dic89C22×D412yes—
740C2×Dic89C22×D412yes—
741C2×Dic89C22×D412yes—
742C4×D89—44no—
743C4×D89—44no—
744C4×D89—44no—
745C4×D89—44no—
746Dic178—44no—
747Dic178—82no—
748Dic178—82no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
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×C89—41no—
776C22×C89—41no—
777C22×C89C23×D411yescharacteristic
778C22×C89C2×H(5,𝔽2)11yescharacteristic
779C22×C89C2×H(5,𝔽2)11yescharacteristic
780C22×C89C2×2−1+411yescharacteristic
781C22×C89#58511yescharacteristic
782C22×C89#58511yescharacteristic
783C22×C89#58511yescharacteristic
784C2×D89—22no—
785C2×D89—22no—
786C2×D89—22no—
787C2×D89—22no—
788C2×D89—22no—
789C2×D89—22no—
790C2×D89—416no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C2×D89—41no—
798C2×D89—41no—
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—
809C4×C89—41no—
810Dic89—22no—
811Dic89—22no—
812Dic89—22no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822Dic89—41no—
823Dic89—41no—
824#36712—891nomaximal, Sylow
825C2×C89—42no—
826C2×C89—42no—
827C2×C89—81no—
828C2×C89—81no—
829C2×C89#344911yescharacteristic
830C2×C89#348411yescharacteristic
831C2×C89#348911yescharacteristic
832C2×C89#353311yescharacteristic
833C2×C89#353511yescharacteristic
834C2×C89#354011yescharacteristic
835C2×C89#354111yescharacteristic
836D89—42no—
837D89—42no—
838C2×#542—891no—
839C2×#525—891no—
840#2849—891no—
841#2848—891no—
842#2696—891no—
843#2695—891no—
844#2692—891no—
845#2691—891no—
846#2689—891no—
847#2686—891no—
848#2685—891no—
849#2684—891no—
850#2677—891no—
851#2676—891no—
852#2674—891no—
853#2674—891no—
854#2672—891no—
855#2671—891no—
856#2670—891no—
857#2668—891no—
858#2638—891no—
859#2630—891no—
860#2609—891no—
861#2602—891no—
862#2599—891no—
863#2598—891no—
864#2580—891no—
865#2564—891no—
866#2432—891no—
867#2430D8911yescharacteristic, complemented
868#2318—891no—
869C89#3671211yescharacteristic, complemented, Sylow
870C22×#41C2×D8911yescharacteristic
871C24×C4—891no—
872#542—1788no—
873C2×C4⋊Q8—891no—
874C2×C4⋊Q8—891no—
875C2×#126—891no—
876C2×#126—891no—
877C2×#124—891no—
878C2×#124—891no—
879C2×#124—891no—
880C2×#124—891no—
881#525—1788no—
882C2×#123—891no—
883C2×#123—891no—
884C2×#123—891no—
885C2×#123—891no—
886C2×#123C2×D8911yescharacteristic, complemented
887C2×C22⋊Q8—891no—
888C2×C22⋊Q8—891no—
889C2×C22⋊Q8—891no—
890C2×C22⋊Q8—891no—
891C2×C22⋊Q8—891no—
892C2×C22⋊Q8—891no—
893C2×C22⋊Q8—891no—
894C2×#121—891no—
895C2×#121—891no—
896C2×#121—891no—
897C2×#121C2×D8911yescharacteristic
898C2×#121C2×D8911yescharacteristic, complemented
899C2×#120—891no—
900C2×#120—891no—
901C2×#120—891no—
902C2×C4×Q8—891no—
903C2×C4×D4—891no—
904C2×C4×D4—891no—
905C2×C4×D4—891no—
906C2×C4×D4—891no—
907C2×#117—891no—
908C2×#117—891no—
909#400—891no—
910#400—891no—
911#399—891no—
912#399—891no—
913#399—891no—
914#399—891no—
915#398—891no—
916#398—891no—
917#398—891no—
918#398—891no—
919#397—891no—
920#397—891no—
921#397—891no—
922#397—891no—
923#397—891no—
924#397—891no—
925#396—891no—
926#396—891no—
927#396—891no—
928#396—891no—
929#395—891no—
930#395—891no—
931#395—891no—
932#395C2×D8911yescharacteristic, complemented
933#394—891no—
934#394—891no—
935#394—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#394C2×D8911yescharacteristic
947#393—891no—
948#393—891no—
949#393—891no—
950#393—891no—
951#393—891no—
952#393C2×D8911yescharacteristic, complemented
953#392—891no—
954#392—891no—
955#392—891no—
956#392C2×D8911yescharacteristic
957#391—891no—
958#390—891no—
959#390—891no—
960#390—891no—
961#390—891no—
962#389—891no—
963#389—891no—
964#389—891no—
965#388—891no—
966#388—891no—
967#388—891no—
968#388—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388—891no—
974#388—891no—
975#387—891no—
976#387—891no—
977#387—891no—
978#387—891no—
979#387—891no—
980#387—891no—
981#387—891no—
982#387—891no—
983#386—891no—
984#386—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
995#386C2×D8911yescharacteristic, complemented
996#386C2×D8911yescharacteristic, complemented
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#385—891no—
1010#385—891no—
1011#385C2×D8911yescharacteristic
1012#385C2×D8911yescharacteristic, complemented
1013#383—891no—
1014#382—891no—
1015#381—891no—
1016#381—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#380—891no—
1021#380—891no—
1022#379—891no—
1023#379—891no—
1024#379—891no—
1025C4×C22⋊C4—891no—
1026C2×#95C2×D8911yescharacteristic, complemented
1027C25—891no—
1028C2×#41—24no—
1029C2×#41—42no—
1030C2×#41—42no—
1031C22×Q8—891no—
1032C22×Q8—891no—
1033C22×Q8—891no—
1034C22×Q8C22×D8911yescharacteristic
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4—891no—
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C22×D4C22×D8911yescharacteristic
1044C22×D4C22×D8911yescharacteristic
1045C22×D4C22×D8911yescharacteristic
1046C22×D4C22×D8911yescharacteristic
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4—891no—
1053C23×C4—3562no—
1054C23×C4—3562no—
1055C23×C4—1784no—
1056C23×C4C22×D8911yescharacteristic
1057C23×C4C22×D8911yescharacteristic
1058C23×C4C22×D8911yescharacteristic
1059C23×C4C22×D8911yescharacteristic
1060C23×C4C22×D8911yescharacteristic
1061C4⋊Q8—3562no—
1062C4⋊Q8—1784no—
1063#126—1784no—
1064#126—1784no—
1065#124—3562no—
1066#124—1784no—
1067#124—1784no—
1068#124—1784no—
1069#123—24no—
1070#123—3562no—
1071#123—1784no—
1072#123—1784no—
1073#123—1784no—
1074C22⋊Q8—3562no—
1075C22⋊Q8—3562no—
1076C22⋊Q8—1784no—
1077C22⋊Q8—1784no—
1078C22⋊Q8—1784no—
1079C22⋊Q8—1784no—
1080C22⋊Q8—1784no—
1081#121—42no—
1082#121—42no—
1083#121—1784no—
1084#121—1784no—
1085#121—1784no—
1086#120—3562no—
1087#120—1784no—
1088#120—1784no—
1089C4×Q8—1784no—
1090C4×D4—898no—
1091C4×D4—1784no—
1092C4×D4—1784no—
1093C4×D4—1784no—
1094#117—1784no—
1095#117—1784no—
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⋊C4C22×D8911yescharacteristic
1125C2×C4⋊C4C22×D8911yescharacteristic
1126C2×C4⋊C4C22×D8911yescharacteristic
1127C2×C4⋊C4C22×D8911yescharacteristic
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—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⋊C4C22×D8911yescharacteristic
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×C42—891no—
1181C2×C42—891no—
1182C2×C42—891no—
1183C2×C42—891no—
1184C2×C42—891no—
1185C2×C42—891no—
1186C2×C42—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#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
1221#95C22×D8911yescharacteristic
1222#95C22×D8911yescharacteristic
1223C24—891no—
1224C24—891no—
1225C24—3561no—
1226C24—3561no—
1227C24—3561no—
1228C24—3561no—
1229C24—1782no—
1230C24—1782no—
1231C24—1782no—
1232C24C23×D8911yescharacteristic
1233C24C23×D8911yescharacteristic
1234C24C23×D8911yescharacteristic
1235C24C23×D8911yescharacteristic
1236#41—416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—41no—
1240C2×Q8—3561no—
1241C2×Q8—3561no—
1242C2×Q8—3561no—
1243C2×Q8—3561no—
1244C2×Q8—3561no—
1245C2×Q8—3561no—
1246C2×Q8—1782no—
1247C2×Q8—1782no—
1248C2×Q8—1782no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—894no—
1268C2×D4—3561no—
1269C2×D4—3561no—
1270C2×D4—3561no—
1271C2×D4—3561no—
1272C2×D4—3561no—
1273C2×D4—3561no—
1274C2×D4—3561no—
1275C2×D4—3561no—
1276C2×D4—3561no—
1277C2×D4—3561no—
1278C2×D4—1782no—
1279C2×D4—1782no—
1280C2×D4—1782no—
1281C2×D4—1782no—
1282C2×D4—1782no—
1283C2×D4—1782no—
1284C2×D4—1782no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—891no—
1300C22×C4—891no—
1301C22×C4—891no—
1302C22×C4—894no—
1303C22×C4—891no—
1304C22×C4—891no—
1305C22×C4—891no—
1306C22×C4—891no—
1307C22×C4—891no—
1308C22×C4—891no—
1309C22×C4—891no—
1310C22×C4—891no—
1311C22×C4—891no—
1312C22×C4—891no—
1313C22×C4—891no—
1314C22×C4—35616no—
1315C22×C4—3561no—
1316C22×C4—3561no—
1317C22×C4—3561no—
1318C22×C4—3561no—
1319C22×C4—3561no—
1320C22×C4—3561no—
1321C22×C4—3561no—
1322C22×C4—3561no—
1323C22×C4—3561no—
1324C22×C4—1782no—
1325C22×C4—1782no—
1326C22×C4—1782no—
1327C22×C4—1782no—
1328C22×C4—1782no—
1329C22×C4—1782no—
1330C22×C4—1782no—
1331C22×C4—1782no—
1332C22×C4D4×D8914yes—
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C22×C4C23×D8911yescharacteristic
1341C22×C4C23×D8911yescharacteristic
1342C22×C4C23×D8911yescharacteristic
1343C22×C4C23×D8911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—894no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—3561no—
1356C4⋊C4—3561no—
1357C4⋊C4—3561no—
1358C4⋊C4—3561no—
1359C4⋊C4—3561no—
1360C4⋊C4—3561no—
1361C4⋊C4—3561no—
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—
1374C4⋊C4—1782no—
1375C4⋊C4—1782no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—894no—
1388C22⋊C4—894no—
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—3561no—
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—
1426C22⋊C4—1782no—
1427C22⋊C4—1782no—
1428C42—894no—
1429C42—3561no—
1430C42—3561no—
1431C42—1782no—
1432C42—1782no—
1433C42—1782no—
1434C42—1782no—
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—21no—
1460C23—21no—
1461C23—892no—
1462C23—892no—
1463C23—3564no—
1464C23—3564no—
1465C23—3564no—
1466C23—3564no—
1467C23—3564no—
1468C23—3564no—
1469C23—3564no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23—1781no—
1481C23—1781no—
1482C23C2×D4×D8912yes—
1483C23#1566805712yes—
1484C23C24×D8911yescharacteristic
1485Q8—44no—
1486Q8—3564no—
1487Q8—7122no—
1488Q8—7122no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—3564no—
1496D4—3564no—
1497D4—3564no—
1498D4—3564no—
1499D4—7122no—
1500D4—7122no—
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—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4—892no—
1537C2×C4—892no—
1538C2×C4—892no—
1539C2×C4—3564no—
1540C2×C4—3564no—
1541C2×C4—3564no—
1542C2×C4—3564no—
1543C2×C4—3564no—
1544C2×C4—3564no—
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—1781no—
1580C2×C4—1781no—
1581C2×C4—1781no—
1582C2×C4—1781no—
1583C2×C4—1781no—
1584C2×C4C2×D4×D8912yes—
1585C2×C4C2×D4×D8912yes—
1586C2×C4#1566805712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
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—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—35616no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—3561no—
1621C22—3561no—
1622C22—3561no—
1623C22—3561no—
1624C22—1782no—
1625C22—1782no—
1626C22—1782no—
1627C22—1782no—
1628C22—1782no—
1629C22—1782no—
1630C22C22×D4×D8911yescharacteristic
1631C22C2×#1566805711yescharacteristic
1632C22C2×#1566805711yescharacteristic
1633C222−1+4×D8911yescharacteristic
1634C22#1915243311yescharacteristic
1635C22#1915243411yescharacteristic
1636C22#1915243411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—3561no—
1656C4—3561no—
1657C4—3561no—
1658C4—3561no—
1659C4—1782no—
1660C4—1782no—
1661C4—1782no—
1662C2—42no—
1663C2—42no—
1664C2—81no—
1665C2—81no—
1666C2—3562no—
1667C2—3562no—
1668C2#2603357911yescharacteristic
1669C2#2603388111yescharacteristic
1670C2#2603392711yescharacteristic
1671C2#2603441111yescharacteristic
1672C2#2603445311yescharacteristic
1673C2#2603451611yescharacteristic
1674C2#2603453511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2430C2
hypercenter#2430D89
hypocenterC89#36712
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#19152216C2semidirect
2. C2×#19152105C2semidirect
3. #26028543C2semidirect
4. #26028538C2semidirect
5. #26026801C2semidirect
6. #26026782C2semidirect
7. #26026747C2semidirect
8. #26026728C2semidirect
9. #26026702C2semidirect
10. #26026653C2semidirect
11. #26026642C2semidirect
12. #26026629C2semidirect
13. #26026566C2semidirect
14. #26026547C2semidirect
15. #26026535C2semidirect
16. #26026532C2semidirect
17. #26026497C2semidirect
18. #26026483C2semidirect
19. #26026477C2semidirect
20. #26026455C2semidirect
21. #26026173C2semidirect
22. #26026095C2semidirect
23. #26025926C2semidirect
24. #26025866C2semidirect
25. #26025825C2semidirect
26. #26025815C2semidirect
27. #26025609C2semidirect
28. #26025432C2semidirect
29. #26023876C2semidirect
30. #26022886C2semidirect
31. C89×#2430C2semidirect
34. C2×#15668011C22semidirect
35. C2×#15668010C22semidirect
37. C2×#15668005C22semidirect
39. C2×#15667999C22semidirect
47. C2×#15667991C22semidirect
51. C2×#15667989C22semidirect
60. C2×#15667977C22semidirect
66. C2×#15667968C22semidirect
67. #19151539C22semidirect
68. #19151538C22semidirect
70. #19151534C22semidirect
71. #19151534C22semidirect
73. #19151532C22semidirect
74. #19151532C22semidirect
75. #19151532C22semidirect
76. #19151531C22semidirect
80. #19151526C22semidirect
81. #19151526C22semidirect
84. #19151521C22semidirect
85. #19151521C22semidirect
86. #19151521C22semidirect
87. #19151519C22semidirect
88. #19151519C22semidirect
89. #19151518C22semidirect
99. #19151512C22semidirect
100. #19151512C22semidirect
101. #19151512C22semidirect
102. #19151512C22semidirect
106. #19151510C22semidirect
107. #19151510C22semidirect
111. #19151505C22semidirect
116. #19151495C22semidirect
117. #19151493C22semidirect
118. #19151493C22semidirect
121. #19151492C22semidirect
123. #19151491C22semidirect
128. #19151486C22semidirect
129. #19151485C22semidirect
130. #19151485C22semidirect
131. #19151484C22semidirect
132. #19151483C22semidirect
133. #19151483C22semidirect
134. #19151480C22semidirect
135. #19151480C22semidirect
136. #19151479C22semidirect
139. #19151478C22semidirect
148. #19151473C22semidirect
155. #19151471C22semidirect
156. #19151471C22semidirect
157. #19151471C22semidirect
158. #19151471C22semidirect
161. #19151465C22semidirect
162. #19151462C22semidirect
165. #19151458C22semidirect
166. #19151458C22semidirect
173. C4×C22⋊Dic89C22semidirect
175. C2×#123×C89C22semidirect
177. C2×#121×C89C22semidirect
178. #395×C89C22semidirect
180. #393×C89C22semidirect
184. #386×C89C22semidirect
185. #386×C89C22semidirect
187. #385×C89C22semidirect
188. C2×#95×C89C22semidirect
237. C4×C22⋊D89D4semidirect
867. #2430D89semidirect
869. C89#36712semidirect
886. C2×#123C2×D89semidirect
898. C2×#121C2×D89semidirect
932. #395C2×D89semidirect
952. #393C2×D89semidirect
995. #386C2×D89semidirect
996. #386C2×D89semidirect
1012. #385C2×D89semidirect
1026. C2×#95C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522162
C2×#191521052
#260285432
#260285382
#260268012
#260267822
#260267472
#260267282
#260267022
#260266532
#260266422
#260266292
#260265662
#260265472
#260265352
#260265322
#260264972
#260264832
#260264772
#260264552
#260261732
#260260952
#260259262
#260258662
#260258252
#260258152
#260256092
#260254322
#260238762
#260228862
C89×#24302
#3671289