Finite Group Databasebeta

← #36762303

Subgroups — #36762303

Order 22784.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028538C211yesmaximal, characteristic, complemented
2#26028535C211yesmaximal, characteristic, complemented
3#26028110C211yesmaximal, characteristic, complemented
4#26027912C211yesmaximal, characteristic, complemented
5#26027891C211yesmaximal, characteristic, complemented
6#26027877C211yesmaximal, characteristic, complemented
7#26027877C211yesmaximal, characteristic, complemented
8#26027570C211yesmaximal, characteristic, complemented
9#26027535C211yesmaximal, characteristic, complemented
10#26027472C211yesmaximal, characteristic, complemented
11#26027361C211yesmaximal, characteristic, complemented
12#26027253C211yesmaximal, characteristic, complemented
13#26027046C211yesmaximal, characteristic, complemented
14#26026894C211yesmaximal, characteristic, complemented
15#26026882C211yesmaximal, characteristic, complemented
16#26026795C211yesmaximal, characteristic, complemented
17#26026695C211yesmaximal, characteristic, complemented
18#26026551C211yesmaximal, characteristic, complemented
19#26025969C211yesmaximal, characteristic, complemented
20#26025969C211yesmaximal, characteristic, complemented
21#26024574C211yesmaximal, characteristic, complemented
22#26024503C211yesmaximal, characteristic, complemented
23#26024378C211yesmaximal, characteristic, complemented
24#26023803C211yesmaximal, characteristic, complemented
25#26023786C211yesmaximal, characteristic, complemented
26#26023733C211yesmaximal, characteristic, complemented
27#26023716C211yesmaximal, characteristic, complemented
28#26022912C211yesmaximal, characteristic, complemented
29#26022909C211yesmaximal, characteristic, complemented
30C2×#19151476C211yesmaximal, characteristic, complemented
31C89×#2493C211yesmaximal, characteristic, complemented
32C23×D356C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15668000C2211yescharacteristic, complemented
36C2×#15667997C2211yescharacteristic, complemented
37C2×#15667995C2211yescharacteristic
38C2×#15667995C2211yescharacteristic
39C2×#15667990C2211yescharacteristic, complemented
40C2×#15667990C2211yescharacteristic, complemented
41C2×#15667989C2211yescharacteristic
42C2×#15667987C2211yescharacteristic, complemented
43C2×#15667987C2211yescharacteristic, complemented
44C2×#15667987C2211yescharacteristic, complemented
45C2×#15667986C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×#15667982C2211yescharacteristic
48C2×#15667982C2211yescharacteristic
49C2×#15667982C2211yescharacteristic
50C2×C4×C22⋊D89C2211yescharacteristic
51C2×#15667972C2211yescharacteristic
52C22×#13083551C2211yescharacteristic
53C22×#13083551C2211yescharacteristic
54C22×#13083551C2211yescharacteristic
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151533C2211yescharacteristic, complemented
59#19151532C2211yescharacteristic, complemented
60#19151532C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151527C2211yescharacteristic, complemented
63#19151527C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151525C2211yescharacteristic, complemented
67#19151525C2211yescharacteristic, complemented
68#19151525C2211yescharacteristic, complemented
69#19151524C2211yescharacteristic, complemented
70#19151522C2211yescharacteristic, complemented
71#19151520C2211yescharacteristic, complemented
72#19151520C2211yescharacteristic, complemented
73#19151516C2211yescharacteristic
74#19151516C2211yescharacteristic
75#19151516C2211yescharacteristic
76#19151516C2211yescharacteristic
77#19151516C2211yescharacteristic
78#19151516C2211yescharacteristic
79#19151516C2211yescharacteristic
80#19151516C2211yescharacteristic
81#19151516C2211yescharacteristic, complemented
82#19151516C2211yescharacteristic, complemented
83#19151516C2211yescharacteristic, complemented
84#19151516C2211yescharacteristic, complemented
85#19151516C2211yescharacteristic, complemented
86#19151515C2211yescharacteristic, complemented
87#19151515C2211yescharacteristic, complemented
88#19151511C2211yescharacteristic, complemented
89#19151511C2211yescharacteristic, complemented
90#19151508C2211yescharacteristic
91#19151508C2211yescharacteristic
92#19151508C2211yescharacteristic
93#19151508C2211yescharacteristic
94#19151508C2211yescharacteristic
95#19151508C2211yescharacteristic
96#19151508C2211yescharacteristic
97#19151508C2211yescharacteristic
98#19151508C2211yescharacteristic, complemented
99#19151502C2211yescharacteristic, complemented
100#19151500C2211yescharacteristic, complemented
101#19151500C2211yescharacteristic, complemented
102#19151500C2211yescharacteristic, complemented
103#19151499C2211yescharacteristic, complemented
104#19151499C2211yescharacteristic, complemented
105#19151499C2211yescharacteristic, complemented
106#19151495C2211yescharacteristic, complemented
107#19151490C2211yescharacteristic, complemented
108#19151490C2211yescharacteristic, complemented
109#19151490C2211yescharacteristic, complemented
110#19151490C2211yescharacteristic, complemented
111#19151490C2211yescharacteristic, complemented
112#19151489C2211yescharacteristic, complemented
113#19151489C2211yescharacteristic, complemented
114#19151489C2211yescharacteristic, complemented
115#19151489C2211yescharacteristic, complemented
116#19151488C2211yescharacteristic, complemented
117#19151488C2211yescharacteristic, complemented
118#19151488C2211yescharacteristic, complemented
119#19151488C2211yescharacteristic, complemented
120#19151487C2211yescharacteristic, complemented
121#19151487C2211yescharacteristic, complemented
122#19151487C2211yescharacteristic, complemented
123#19151487C2211yescharacteristic, complemented
124#19151487C2211yescharacteristic, complemented
125#19151487C2211yescharacteristic, complemented
126#19151481C2211yescharacteristic, complemented
127#19151480C2211yescharacteristic, complemented
128#19151477C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic
136#19151476C2211yescharacteristic
137#19151476C2211yescharacteristic, complemented
138#19151476C2211yescharacteristic, complemented
139#19151476C2211yescharacteristic, complemented
140#19151476C2211yescharacteristic, complemented
141#19151476C2211yescharacteristic, complemented
142#19151476C2211yescharacteristic, complemented
143#19151476C2211yescharacteristic, complemented
144#19151476C2211yescharacteristic, complemented
145#19151476C2211yescharacteristic, complemented
146#19151476C2211yescharacteristic, complemented
147#19151476C2211yescharacteristic, complemented
148#19151475C2211yescharacteristic
149#19151475C2211yescharacteristic
150#19151475C2211yescharacteristic
151#19151473C2211yescharacteristic
152#19151472C2211yescharacteristic, complemented
153#19151472C2211yescharacteristic, complemented
154#19151472C2211yescharacteristic, complemented
155#19151471C2211yescharacteristic
156#19151469C2211yescharacteristic, complemented
157#19151469C2211yescharacteristic, complemented
158#19151462C2211yescharacteristic, complemented
159#19151460C2211yescharacteristic, complemented
160#19151457C2211yescharacteristic, complemented
161#19151457C2211yescharacteristic, complemented
162#19151457C2211yescharacteristic, complemented
163#19151456C2211yescharacteristic
164#19151455C2211yescharacteristic, complemented
165#19151455C2211yescharacteristic, complemented
166#19151453C2211yescharacteristic
167#19151453C2211yescharacteristic
168#19151453C2211yescharacteristic
169#19151453C2211yescharacteristic
170C22⋊C4×Dic89C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172#401×C89C2211yescharacteristic, complemented
173#400×C89C2211yescharacteristic, complemented
174#400×C89C2211yescharacteristic, complemented
175#400×C89C2211yescharacteristic, complemented
176#387×C89C2211yescharacteristic, complemented
177#387×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#385×C89C2211yescharacteristic
180#385×C89C2211yescharacteristic
181#383×C89C2211yescharacteristic, complemented
182#381×C89C2211yescharacteristic
183#381×C89C2211yescharacteristic
184#380×C89C2211yescharacteristic
185C4×C22⋊C4×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356—24no—
191C22×D356—42no—
192C22×D356—42no—
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×D356C2311yescharacteristic
202C22×D356C2311yescharacteristic
203C22×D356C2311yescharacteristic
204C22×D356C2311yescharacteristic
205C22×D356C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C22×C22⋊D89C2311yescharacteristic
208C23×Dic89C2311yescharacteristic
209C23×Dic89C2311yescharacteristic
210C22×C4×D89—42no—
211C22×C4×D89—42no—
212C22×C4×D89—42no—
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219#15668007—42no—
220#15668000—42no—
221#15667997—42no—
222#15667995—42no—
223#15667995—42no—
224#15667990—42no—
225#15667990—42no—
226#15667989—42no—
227#15667987—42no—
228#15667987—42no—
229#15667987—42no—
230#15667986—42no—
231#15667982—24no—
232#15667982—24no—
233#15667982—42no—
234#15667982—42no—
235C4×C22⋊D89—42no—
236#15667972—42no—
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×#13083551—42no—
256C2×#13083551—42no—
257C2×#13083551—42no—
258C2×#13083551C2311yescharacteristic
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
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
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C2×C4×Dic89C2311yescharacteristic
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
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C2×C4⋊C4×C89C2311yescharacteristic
338C2×C4⋊C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89C2311yescharacteristic
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C22⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C42×C89C2311yescharacteristic
348C2×C42×C89C2311yescharacteristic
349#95×C89C2311yescharacteristic
350#95×C89C2311yescharacteristic
351#95×C89C2311yescharacteristic
352#95×C89C2311yescharacteristic
353#95×C89C2311yescharacteristic
354#95×C89C2311yescharacteristic
355#95×C89C2311yescharacteristic
356#95×C89C2311yescharacteristic
357#95×C89C2311yescharacteristic
358#95×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89#4114yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C23×D89C2411yescharacteristic
387C23×D89C2411yescharacteristic
388C23×D89C2411yescharacteristic
389C2×Dic178—22no—
390C2×Dic178—41no—
391C2×Dic178—41no—
392C2×D356—22no—
393C2×D356—22no—
394C2×D356—22no—
395C2×D356—22no—
396C2×D356—22no—
397C2×D356—22no—
398C2×D356—22no—
399C2×D356—22no—
400C2×D356—22no—
401C2×D356—41no—
402C2×D356—41no—
403C2×D356—41no—
404C2×D356—41no—
405C2×D356—41no—
406C2×D356—41no—
407C2×D356—41no—
408C2×D356—41no—
409C2×D356—416no—
410C2×D356—41no—
411C2×D356—41no—
412C2×D356—41no—
413C2×D356—41no—
414C2×D356—41no—
415C2×D356—41no—
416C2×D356—41no—
417C2×D356—41no—
418C2×D356—41no—
419C2×D356—41no—
420C2×D356—41no—
421C2×D356—41no—
422C2×D356—41no—
423C2×D356—41no—
424C2×D356—41no—
425C2×D356—41no—
426C2×D356—41no—
427C2×D356—41no—
428C2×D356—41no—
429C2×D356—41no—
430C2×D356—41no—
431C2×D356—41no—
432C2×C22⋊D89—22no—
433C2×C22⋊D89—22no—
434C2×C22⋊D89—22no—
435C2×C22⋊D89—22no—
436C2×C22⋊D89—22no—
437C2×C22⋊D89—22no—
438C22×Dic89—22no—
439C22×Dic89—22no—
440C22×Dic89—22no—
441C22×Dic89—41no—
442C22×Dic89—41no—
443C22×Dic89—41no—
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C22×Dic89C2411yescharacteristic
448C22×Dic89C2411yescharacteristic
449C22×Dic89C2411yescharacteristic
450C22×Dic89C2411yescharacteristic
451C22×Dic89C2411yescharacteristic
452C22×Dic89C2411yescharacteristic
453C22×Dic89C2411yescharacteristic
454C2×C4×D89—22no—
455C2×C4×D89—22no—
456C2×C4×D89—22no—
457C2×C4×D89—22no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
460C2×C4×D89—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—41no—
466C2×C4×D89—416no—
467C2×C4×D89—41no—
468C2×C4×D89—41no—
469C2×C4×D89—41no—
470C2×C4×D89—41no—
471C2×C4×D89—41no—
472C2×C4×D89—41no—
473C4⋊Dic89—41no—
474C4⋊Dic89—41no—
475C4⋊Dic89—41no—
476C4⋊Dic89—41no—
477#13083553—22no—
478#13083553—22no—
479#13083553—41no—
480#13083553—41no—
481#13083553—41no—
482#13083553—41no—
483#13083553—41no—
484#13083553—41no—
485#13083553—41no—
486#13083553—41no—
487#13083553—41no—
488#13083553—41no—
489C22⋊Dic89—22no—
490C22⋊Dic89—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
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#13083551—41no—
511#13083551—41no—
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#13083551—41no—
523#13083551—41no—
524#13083551—41no—
525#13083551—41no—
526#13083551—41no—
527#13083551—41no—
528#13083551—41no—
529#13083551—41no—
530#13083551—41no—
531#13083551—41no—
532#13083551—41no—
533#13083551—41no—
534#13083551—41no—
535#13083551—41no—
536#13083551—41no—
537#13083551—41no—
538#13083551—41no—
539#13083551—41no—
540#13083551—41no—
541#13083551—41no—
542#13083551—41no—
543C4×Dic89—41no—
544C4×Dic89—41no—
545C4×Dic89—41no—
546C4×Dic89—41no—
547C24×C89C2411yescharacteristic
548C22×C4×C89—22no—
549C22×C4×C89—22no—
550C22×C4×C89—22no—
551C22×C4×C89—22no—
552C22×C4×C89—22no—
553C22×C4×C89—22no—
554C22×C4×C89—41no—
555C22×C4×C89—41no—
556C22×C4×C89—41no—
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
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C4⋊C4×C89—22no—
572C4⋊C4×C89—22no—
573C4⋊C4×C89—41no—
574C4⋊C4×C89—41no—
575C4⋊C4×C89—41no—
576C4⋊C4×C89—41no—
577C22⋊C4×C89—22no—
578C22⋊C4×C89—22no—
579C22⋊C4×C89—22no—
580C22⋊C4×C89—22no—
581C42×C89—41no—
582C42×C89—41no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89C2×#4112yes—
588C23×C89H(5,𝔽2)12yes—
589C23×C89H(5,𝔽2)12yes—
590C23×C89C2511yescharacteristic
591C22×D89—28no—
592C22×D89—21no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—21no—
598C22×D89—21no—
599C22×D89—21no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
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—44no—
633C22×D89—44no—
634C22×D89—44no—
635C22×D89—44no—
636C22×D89—44no—
637C22×D89—44no—
638C22×D89—44no—
639C22×D89—44no—
640C22×D89—44no—
641C22×D89—82no—
642C22×D89—82no—
643C22×D89—82no—
644C22×D89—82no—
645C22×D89C2×#4112yes—
646C22×D89C2×#4112yes—
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—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—21no—
686C2×C4×C89—21no—
687C2×C4×C89—21no—
688C2×C4×C89—44no—
689C2×C4×C89—44no—
690C2×C4×C89—82no—
691C2×C4×C89H(5,𝔽2)12yes—
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—44no—
724C2×Dic89—82no—
725C2×Dic89H(5,𝔽2)12yes—
726D356—44no—
727D356—44no—
728D356—44no—
729D356—44no—
730D356—82no—
731D356—82no—
732D356—82no—
733D356—82no—
734D356—82no—
735D356—82no—
736D356—82no—
737D356—82no—
738D356—82no—
739C4×D89—44no—
740C4×D89—44no—
741C4×D89—44no—
742C4×D89—44no—
743C4×D89—82no—
744C4×D89—82no—
745Dic178—82no—
746C22×C89—22no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89#53814yes—
753C22×C89C22×#4111yescharacteristic
754C22×C89C2×H(5,𝔽2)11yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89C2×H(5,𝔽2)11yescharacteristic
757C22×C89C2×H(5,𝔽2)11yescharacteristic
758C22×C89#58511yescharacteristic
759C22×C89#58511yescharacteristic
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
764C2×D89—22no—
765C2×D89—22no—
766C2×D89—416no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89—41no—
780C2×D89—41no—
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
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—41no—
797C2×D89—41no—
798C2×D89—41no—
799C2×D89—41no—
800C2×D89—41no—
801C2×D89—41no—
802C2×D89—41no—
803C2×D89—88no—
804C4×C89—22no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814C4×C89—41no—
815C4×C89—41no—
816C4×C89—41no—
817C4×C89—41no—
818Dic89—22no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822Dic89—41no—
823Dic89—41no—
824Dic89—41no—
825Dic89—41no—
826Dic89—41no—
827Dic89—41no—
828#36758—891nomaximal, Sylow
829C2×C89—24no—
830C2×C89C2×#53811yescharacteristic
831C2×C89#350511yescharacteristic
832C2×C89#350511yescharacteristic
833C2×C89#353211yescharacteristic
834C2×C89#353311yescharacteristic
835C2×C89#354211yescharacteristic
836C2×C89#354211yescharacteristic
837D89—42no—
838D89—42no—
839D89—81no—
840D89—81no—
841D89—81no—
842D89—81no—
843#2848—891no—
844#2847—891no—
845#2797—891no—
846#2781—891no—
847#2779—891no—
848#2778—891no—
849#2778—891no—
850#2756—891no—
851#2753—891no—
852#2749—891no—
853#2741—891no—
854#2730—891no—
855#2714—891no—
856#2703—891no—
857#2702—891no—
858#2696—891no—
859#2688—891no—
860#2676—891no—
861#2613—891no—
862#2613—891no—
863#2493D8911yescharacteristic, complemented
864#2488—891no—
865#2480—891no—
866#2472—891no—
867#2425—891no—
868#2424—891no—
869#2419—891no—
870#2418—891no—
871#2321—891no—
872#2321—891no—
873C2×#386—891no—
874C89#3675811yescharacteristic, complemented, Sylow
875C23×D4—891no—
876C24×C4—891no—
877C2×#126—891no—
878C2×#124—891no—
879C2×#123—891no—
880C2×#123—891no—
881C2×#123—891no—
882C2×C22⋊Q8—891no—
883C2×C22⋊Q8—891no—
884C2×C22⋊Q8—891no—
885C2×#121—891no—
886C2×#121—891no—
887C2×#121—891no—
888C2×#121—891no—
889C2×#120—891no—
890C2×#120—891no—
891C2×#120—891no—
892C2×#120—891no—
893C2×C4×D4—891no—
894C2×C4×D4—891no—
895C22×C22⋊C4—891no—
896C22×C22⋊C4—891no—
897C22×C22⋊C4—891no—
898#401C2×D8911yescharacteristic, complemented
899#400—891no—
900#400—891no—
901#400—891no—
902#400C2×D8911yescharacteristic, complemented
903#400C2×D8911yescharacteristic, complemented
904#400C2×D8911yescharacteristic, complemented
905#399—891no—
906#398—891no—
907#398—891no—
908#397—891no—
909#397—891no—
910#397—891no—
911#397—891no—
912#397—891no—
913#397—891no—
914#397—891no—
915#397—891no—
916#397—891no—
917#396—891no—
918#396—891no—
919#396—891no—
920#394—891no—
921#394—891no—
922#394—891no—
923#394—891no—
924#394—891no—
925#394—891no—
926#394—891no—
927#394—891no—
928#394—891no—
929#394—891no—
930#394—891no—
931#394—891no—
932#394—891no—
933#394—891no—
934#394—891no—
935#393—891no—
936#393—891no—
937#392—891no—
938#392—891no—
939#392—891no—
940#392—891no—
941#392—891no—
942#392—891no—
943#392—891no—
944#392—891no—
945#392—891no—
946#391—891no—
947#390—891no—
948#390—891no—
949#390—891no—
950#390—891no—
951#390—891no—
952#390—891no—
953#389—891no—
954#388—891no—
955#388—891no—
956#388—891no—
957#388—891no—
958#388—891no—
959#388—891no—
960#388—891no—
961#388—891no—
962#388—891no—
963#388—891no—
964#388—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#387—891no—
974#387—891no—
975#387C2×D8911yescharacteristic, complemented
976#387C2×D8911yescharacteristic, complemented
977#387C2×D8911yescharacteristic, complemented
978#386—891no—
979#386—891no—
980#386—891no—
981#386—891no—
982#386—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#386—891no—
994#386—891no—
995#386—891no—
996#386—891no—
997#386—891no—
998#386—891no—
999#386—891no—
1000#386—891no—
1001#385—891no—
1002#385—891no—
1003#385—891no—
1004#385—891no—
1005#385—891no—
1006#385—891no—
1007#385—891no—
1008#385C2×D8911yescharacteristic
1009#385C2×D8911yescharacteristic
1010#383C2×D8911yescharacteristic, complemented
1011#382—891no—
1012#381—891no—
1013#381C2×D8911yescharacteristic
1014#381C2×D8911yescharacteristic
1015#380—891no—
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#380—891no—
1021#380C2×D8911yescharacteristic
1022#379—891no—
1023#379—891no—
1024#379—891no—
1025#379—891no—
1026C4×C22⋊C4—891no—
1027C4×C22⋊C4C2×D8911yescharacteristic
1028C2×#95—891no—
1029C2×#95C2×D8911yescharacteristic
1030C25—891no—
1031C25—891no—
1032C22×Q8—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4—891no—
1041C22×D4—891no—
1042C22×D4—891no—
1043C22×D4—891no—
1044C22×D4—891no—
1045C22×D4—891no—
1046C22×D4—891no—
1047C22×D4—891no—
1048C22×D4—3562no—
1049C22×D4—3562no—
1050C22×D4—1784no—
1051C23×C4—891no—
1052C23×C4—891no—
1053C23×C4—891no—
1054C23×C4—891no—
1055C23×C4—891no—
1056C23×C4—891no—
1057C23×C4—891no—
1058C23×C4—891no—
1059C23×C4—3562no—
1060C23×C4—3562no—
1061C23×C4—3562no—
1062C23×C4C22×D8911yescharacteristic
1063C23×C4C22×D8911yescharacteristic
1064C23×C4C22×D8911yescharacteristic
1065#126—3562no—
1066#124—3562no—
1067#123—3562no—
1068#123—3562no—
1069#123—3562no—
1070C22⋊Q8—3562no—
1071C22⋊Q8—3562no—
1072C22⋊Q8—3562no—
1073#121—3562no—
1074#121—3562no—
1075#121—3562no—
1076#121—3562no—
1077#120—3562no—
1078#120—3562no—
1079#120—1784no—
1080#120—1784no—
1081C4×D4—3562no—
1082C4×D4—3562no—
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⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4C22×D8911yescharacteristic
1100C2×C4⋊C4C22×D8911yescharacteristic
1101C2×C4⋊C4C22×D8911yescharacteristic
1102C2×C4⋊C4C22×D8911yescharacteristic
1103C2×C4⋊C4C22×D8911yescharacteristic
1104C2×C4⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×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—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—3562no—
1160C2×C22⋊C4—3562no—
1161C2×C22⋊C4—3562no—
1162C2×C22⋊C4C22×D8911yescharacteristic
1163C2×C22⋊C4C22×D8911yescharacteristic
1164C2×C22⋊C4C22×D8911yescharacteristic
1165C2×C22⋊C4C22×D8911yescharacteristic
1166C2×C42—891no—
1167C2×C42—891no—
1168C2×C42—891no—
1169C2×C42—891no—
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#95C22×D8911yescharacteristic
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196#95C22×D8911yescharacteristic
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203#95C22×D8911yescharacteristic
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—894no—
1213C24—891no—
1214C24—891no—
1215C24—891no—
1216C24—891no—
1217C24—891no—
1218C24—891no—
1219C24—3561no—
1220C24—3561no—
1221C24—3561no—
1222C24—3561no—
1223C24—3561no—
1224C24—3561no—
1225C24—3561no—
1226C24—3561no—
1227C24—1782no—
1228C24—1782no—
1229C24—1782no—
1230C24—1782no—
1231C24—1782no—
1232C24C23×D8911yescharacteristic
1233C2×Q8—3561no—
1234C2×Q8—3561no—
1235C2×Q8—1782no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—3561no—
1239C2×D4—3561no—
1240C2×D4—3561no—
1241C2×D4—3561no—
1242C2×D4—3561no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
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—3561no—
1259C2×D4—3561no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—3561no—
1265C2×D4—3561no—
1266C2×D4—35616no—
1267C2×D4—1782no—
1268C2×D4—1782no—
1269C2×D4—1782no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C2×D4—1782no—
1277C2×D4—1782no—
1278C2×D4—1782no—
1279C2×D4—1782no—
1280C2×D4—1782no—
1281C2×D4—1782no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—891no—
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—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—35616no—
1316C22×C4—3561no—
1317C22×C4—3561no—
1318C22×C4—3561no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
1325C22×C4—1782no—
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
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
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—
1357C4⋊C4—3561no—
1358C4⋊C4—3561no—
1359C4⋊C4—3561no—
1360C4⋊C4—1782no—
1361C4⋊C4—1782no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—3561no—
1372C22⋊C4—3561no—
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—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—1782no—
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—
1420C42—41no—
1421C42—41no—
1422C42—3561no—
1423C42—3561no—
1424C42—3561no—
1425C42—3561no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—892no—
1431C23—892no—
1432C23—3564no—
1433C23—3564no—
1434C23—3564no—
1435C23—3564no—
1436C23—3564no—
1437C23—3564no—
1438C23—3564no—
1439C23—3564no—
1440C23—3564no—
1441C23—1781no—
1442C23—1781no—
1443C23—1781no—
1444C23—1781no—
1445C23—1781no—
1446C23—1781no—
1447C23—1781no—
1448C23—1781no—
1449C23—1781no—
1450C23—1781no—
1451C23—1781no—
1452C23—1781no—
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—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23—1781no—
1481C23—1788no—
1482C23—7122no—
1483C23—7122no—
1484C23—7122no—
1485C23—7122no—
1486C23#41×D8912yes—
1487C23#1566805812yes—
1488C23#1566805812yes—
1489C23C24×D8911yescharacteristic
1490Q8—7122no—
1491D4—3564no—
1492D4—3564no—
1493D4—3564no—
1494D4—3564no—
1495D4—3564no—
1496D4—3564no—
1497D4—7122no—
1498D4—7122no—
1499D4—7122no—
1500D4—7122no—
1501D4—7122no—
1502D4—7122no—
1503D4—7122no—
1504D4—7122no—
1505D4—7122no—
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—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—892no—
1551C2×C4—3564no—
1552C2×C4—3564no—
1553C2×C4—3564no—
1554C2×C4—3564no—
1555C2×C4—3564no—
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×C4—1781no—
1585C2×C4—7122no—
1586C2×C4—7122no—
1587C2×C4—7122no—
1588C2×C4#1566805812yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—35616no—
1596C22—3561no—
1597C22—3561no—
1598C22—3561no—
1599C22—3561no—
1600C22—3561no—
1601C22—3561no—
1602C22—3561no—
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—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—3561no—
1621C22—3561no—
1622C22—3561no—
1623C22—3561no—
1624C22—3561no—
1625C22—3561no—
1626C22—3561no—
1627C22—3561no—
1628C22—3561no—
1629C22—3561no—
1630C22—3561no—
1631C22—3561no—
1632C22—1782no—
1633C22—1782no—
1634C22—1782no—
1635C22—1782no—
1636C22—1782no—
1637C22—1782no—
1638C22—7128no—
1639C22#1915218714yes—
1640C22C2×#41×D8911yescharacteristic
1641C22H(5,𝔽2)×D8911yescharacteristic
1642C22C2×#1566805811yescharacteristic
1643C22C2×#1566805811yescharacteristic
1644C22C2×#1566805811yescharacteristic
1645C22#1915243411yescharacteristic
1646C22#1915243511yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—3561no—
1662C4—3561no—
1663C4—3561no—
1664C4—3561no—
1665C4—3561no—
1666C4—3561no—
1667C4—3561no—
1668C4—3561no—
1669C4—3561no—
1670C4—1782no—
1671C2—24no—
1672C2—3562no—
1673C2—3562no—
1674C2—7121no—
1675C2—7121no—
1676C2—7121no—
1677C2—7121no—
1678C2C2×#1915218711yescharacteristic
1679C2#2603408411yescharacteristic
1680C2#2603408711yescharacteristic
1681C2#2603440811yescharacteristic
1682C2#2603441811yescharacteristic
1683C2#2603456111yescharacteristic
1684C2#2603456211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2493C2
hypercenter#2493D89
hypocenterC89#36758
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #26028538C2semidirect
2. #26028535C2semidirect
3. #26028110C2semidirect
4. #26027912C2semidirect
5. #26027891C2semidirect
6. #26027877C2semidirect
7. #26027877C2semidirect
8. #26027570C2semidirect
9. #26027535C2semidirect
10. #26027472C2semidirect
11. #26027361C2semidirect
12. #26027253C2semidirect
13. #26027046C2semidirect
14. #26026894C2semidirect
15. #26026882C2semidirect
16. #26026795C2semidirect
17. #26026695C2semidirect
18. #26026551C2semidirect
19. #26025969C2semidirect
20. #26025969C2semidirect
21. #26024574C2semidirect
22. #26024503C2semidirect
23. #26024378C2semidirect
24. #26023803C2semidirect
25. #26023786C2semidirect
26. #26023733C2semidirect
27. #26023716C2semidirect
28. #26022912C2semidirect
29. #26022909C2semidirect
30. C2×#19151476C2semidirect
31. C89×#2493C2semidirect
34. C2×#15668007C22semidirect
35. C2×#15668000C22semidirect
36. C2×#15667997C22semidirect
39. C2×#15667990C22semidirect
40. C2×#15667990C22semidirect
42. C2×#15667987C22semidirect
43. C2×#15667987C22semidirect
44. C2×#15667987C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
57. #19151539C22semidirect
58. #19151533C22semidirect
59. #19151532C22semidirect
60. #19151532C22semidirect
61. #19151527C22semidirect
62. #19151527C22semidirect
63. #19151527C22semidirect
64. #19151527C22semidirect
65. #19151527C22semidirect
66. #19151525C22semidirect
67. #19151525C22semidirect
68. #19151525C22semidirect
69. #19151524C22semidirect
70. #19151522C22semidirect
71. #19151520C22semidirect
72. #19151520C22semidirect
81. #19151516C22semidirect
82. #19151516C22semidirect
83. #19151516C22semidirect
84. #19151516C22semidirect
85. #19151516C22semidirect
86. #19151515C22semidirect
87. #19151515C22semidirect
88. #19151511C22semidirect
89. #19151511C22semidirect
98. #19151508C22semidirect
99. #19151502C22semidirect
100. #19151500C22semidirect
101. #19151500C22semidirect
102. #19151500C22semidirect
103. #19151499C22semidirect
104. #19151499C22semidirect
105. #19151499C22semidirect
106. #19151495C22semidirect
107. #19151490C22semidirect
108. #19151490C22semidirect
109. #19151490C22semidirect
110. #19151490C22semidirect
111. #19151490C22semidirect
112. #19151489C22semidirect
113. #19151489C22semidirect
114. #19151489C22semidirect
115. #19151489C22semidirect
116. #19151488C22semidirect
117. #19151488C22semidirect
118. #19151488C22semidirect
119. #19151488C22semidirect
120. #19151487C22semidirect
121. #19151487C22semidirect
122. #19151487C22semidirect
123. #19151487C22semidirect
124. #19151487C22semidirect
125. #19151487C22semidirect
126. #19151481C22semidirect
127. #19151480C22semidirect
137. #19151476C22semidirect
138. #19151476C22semidirect
139. #19151476C22semidirect
140. #19151476C22semidirect
141. #19151476C22semidirect
142. #19151476C22semidirect
143. #19151476C22semidirect
144. #19151476C22semidirect
145. #19151476C22semidirect
146. #19151476C22semidirect
147. #19151476C22semidirect
152. #19151472C22semidirect
153. #19151472C22semidirect
154. #19151472C22semidirect
156. #19151469C22semidirect
157. #19151469C22semidirect
158. #19151462C22semidirect
159. #19151460C22semidirect
160. #19151457C22semidirect
161. #19151457C22semidirect
162. #19151457C22semidirect
164. #19151455C22semidirect
165. #19151455C22semidirect
172. #401×C89C22semidirect
173. #400×C89C22semidirect
174. #400×C89C22semidirect
175. #400×C89C22semidirect
176. #387×C89C22semidirect
177. #387×C89C22semidirect
178. #387×C89C22semidirect
181. #383×C89C22semidirect
863. #2493D89semidirect
874. C89#36758semidirect
898. #401C2×D89semidirect
902. #400C2×D89semidirect
903. #400C2×D89semidirect
904. #400C2×D89semidirect
975. #387C2×D89semidirect
976. #387C2×D89semidirect
977. #387C2×D89semidirect
1010. #383C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285382
#260285352
#260281102
#260279122
#260278912
#260278772
#260275702
#260275352
#260274722
#260273612
#260272532
#260270462
#260268942
#260268822
#260267952
#260266952
#260265512
#260259692
#260245742
#260245032
#260243782
#260238032
#260237862
#260237332
#260237162
#260229122
#260229092
C2×#191514762
C89×#24932
#3675889