Finite Group Databasebeta

← #36762787

Subgroups — #36762787

Order 22784.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028541C211yesmaximal, characteristic, complemented
2#26028535C211yesmaximal, characteristic, complemented
3#26027903C211yesmaximal, characteristic, complemented
4#26027902C211yesmaximal, characteristic, complemented
5#26027735C211yesmaximal, characteristic, complemented
6#26027645C211yesmaximal, characteristic, complemented
7#26027526C211yesmaximal, characteristic, complemented
8#26027481C211yesmaximal, characteristic, complemented
9#26027464C211yesmaximal, characteristic, complemented
10#26027392C211yesmaximal, characteristic, complemented
11#26027318C211yesmaximal, characteristic, complemented
12#26027005C211yesmaximal, characteristic, complemented
13#26026945C211yesmaximal, characteristic, complemented
14#26026869C211yesmaximal, characteristic, complemented
15#26026863C211yesmaximal, characteristic, complemented
16#26026693C211yesmaximal, characteristic, complemented
17#26026488C211yesmaximal, characteristic, complemented
18#26026033C211yesmaximal, characteristic, complemented
19#26025999C211yesmaximal, characteristic, complemented
20#26025181C211yesmaximal, characteristic, complemented
21#26025143C211yesmaximal, characteristic, complemented
22#26023972C211yesmaximal, characteristic, complemented
23#26023810C211yesmaximal, characteristic, complemented
24#26023789C211yesmaximal, characteristic, complemented
25#26023722C211yesmaximal, characteristic, complemented
26#26023719C211yesmaximal, characteristic, complemented
27#26023687C211yesmaximal, characteristic, complemented
28#26022956C211yesmaximal, characteristic, complemented
29#26022884C211yesmaximal, characteristic, complemented
30#385×D89C211yesmaximal, characteristic, complemented
31C89×#2707C211yesmaximal, characteristic, complemented
32C23×C4×D89C2211yescharacteristic
33C2×#15667997C2211yescharacteristic
34C2×#15667997C2211yescharacteristic
35C2×#15667994C2211yescharacteristic
36C2×#15667994C2211yescharacteristic
37C2×#15667993C2211yescharacteristic
38C2×#15667987C2211yescharacteristic
39C2×#15667987C2211yescharacteristic
40C2×#15667986C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic, complemented
44C2×#15667984C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×#15667980C2211yescharacteristic
48C2×C4×D356C2211yescharacteristic
49C2×#15667974C2211yescharacteristic
50C2×#15667972C2211yescharacteristic
51C2×C4⋊C4×D89C2211yescharacteristic
52C2×C4⋊C4×D89C2211yescharacteristic
53C2×C22⋊C4×D89C2211yescharacteristic
54C2×C22⋊C4×D89C2211yescharacteristic
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151536C2211yescharacteristic, complemented
59#19151536C2211yescharacteristic, complemented
60#19151535C2211yescharacteristic
61#19151534C2211yescharacteristic
62#19151533C2211yescharacteristic
63#19151533C2211yescharacteristic, complemented
64#19151533C2211yescharacteristic, complemented
65#19151532C2211yescharacteristic, complemented
66#19151532C2211yescharacteristic, complemented
67#19151531C2211yescharacteristic, complemented
68#19151531C2211yescharacteristic, complemented
69#19151531C2211yescharacteristic, complemented
70#19151531C2211yescharacteristic, complemented
71#19151528C2211yescharacteristic, complemented
72#19151526C2211yescharacteristic, complemented
73#19151525C2211yescharacteristic, complemented
74#19151524C2211yescharacteristic, complemented
75#19151524C2211yescharacteristic, complemented
76#19151523C2211yescharacteristic
77#19151522C2211yescharacteristic
78#19151521C2211yescharacteristic, complemented
79#19151520C2211yescharacteristic
80#19151520C2211yescharacteristic, complemented
81#19151520C2211yescharacteristic, complemented
82#19151520C2211yescharacteristic, complemented
83#19151520C2211yescharacteristic, complemented
84#19151515C2211yescharacteristic
85#19151515C2211yescharacteristic
86#19151515C2211yescharacteristic, complemented
87#19151515C2211yescharacteristic, complemented
88#19151514C2211yescharacteristic
89#19151514C2211yescharacteristic
90#19151514C2211yescharacteristic, complemented
91#19151514C2211yescharacteristic, complemented
92#19151513C2211yescharacteristic
93#19151513C2211yescharacteristic, complemented
94#19151507C2211yescharacteristic
95#19151507C2211yescharacteristic
96#19151506C2211yescharacteristic
97#19151500C2211yescharacteristic
98#19151499C2211yescharacteristic
99#19151498C2211yescharacteristic
100#19151498C2211yescharacteristic
101#19151498C2211yescharacteristic, complemented
102#19151497C2211yescharacteristic, complemented
103#19151496C2211yescharacteristic, complemented
104#19151493C2211yescharacteristic, complemented
105#19151492C2211yescharacteristic
106#19151489C2211yescharacteristic
107#19151489C2211yescharacteristic, complemented
108#19151489C2211yescharacteristic, complemented
109#19151488C2211yescharacteristic
110#19151488C2211yescharacteristic, complemented
111#19151487C2211yescharacteristic, complemented
112#19151486C2211yescharacteristic
113#19151485C2211yescharacteristic, complemented
114#19151484C2211yescharacteristic, complemented
115#19151484C2211yescharacteristic, complemented
116#19151482C2211yescharacteristic, complemented
117#19151481C2211yescharacteristic, complemented
118#19151476C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151476C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic, complemented
127#19151475C2211yescharacteristic
128#19151475C2211yescharacteristic
129#19151475C2211yescharacteristic
130#19151475C2211yescharacteristic, complemented
131#19151474C2211yescharacteristic
132#19151474C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic, complemented
137#19151473C2211yescharacteristic
138#19151473C2211yescharacteristic, complemented
139#19151473C2211yescharacteristic, complemented
140#19151472C2211yescharacteristic
141#19151472C2211yescharacteristic
142#19151472C2211yescharacteristic
143#19151472C2211yescharacteristic, complemented
144#19151471C2211yescharacteristic
145#19151470C2211yescharacteristic
146#19151469C2211yescharacteristic
147#19151469C2211yescharacteristic
148#19151469C2211yescharacteristic
149#19151469C2211yescharacteristic
150#19151469C2211yescharacteristic
151#19151469C2211yescharacteristic
152#19151469C2211yescharacteristic
153#19151465C2211yescharacteristic, complemented
154#19151463C2211yescharacteristic, complemented
155#19151462C2211yescharacteristic, complemented
156#19151461C2211yescharacteristic
157#19151460C2211yescharacteristic
158#19151460C2211yescharacteristic, complemented
159#19151459C2211yescharacteristic
160#19151459C2211yescharacteristic, complemented
161#19151457C2211yescharacteristic, complemented
162#19151457C2211yescharacteristic, complemented
163#19151455C2211yescharacteristic
164#19151455C2211yescharacteristic
165#19151455C2211yescharacteristic
166#19151455C2211yescharacteristic
167#19151455C2211yescharacteristic, complemented
168#19151453C2211yescharacteristic
169C4×#13083551C2211yescharacteristic
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172C2×#125×C89C2211yescharacteristic, complemented
173C2×#123×C89C2211yescharacteristic
174#398×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#396×C89C2211yescharacteristic
177#396×C89C2211yescharacteristic, complemented
178#396×C89C2211yescharacteristic, complemented
179#394×C89C2211yescharacteristic
180#390×C89C2211yescharacteristic
181#389×C89C2211yescharacteristic, complemented
182#388×C89C2211yescharacteristic
183#388×C89C2211yescharacteristic, complemented
184#387×C89C2211yescharacteristic, complemented
185#385×C89C2211yescharacteristic
186#380×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
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—42no—
202C22×C4×D89—42no—
203C22×C4×D89—42no—
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214#15667997—42no—
215#15667997—42no—
216#15667994—42no—
217#15667994—42no—
218#15667993—42no—
219#15667987—42no—
220#15667987—42no—
221#15667986—42no—
222#15667985—24no—
223#15667985—42no—
224#15667985—42no—
225#15667984—42no—
226#15667982—42no—
227#15667982—42no—
228#15667980—42no—
229C4×D356—42no—
230#15667974—24no—
231#15667972—42no—
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
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×#13083553C2311yescharacteristic
254C4⋊C4×D89—42no—
255C4⋊C4×D89—42no—
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
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
295C22⋊C4×D89—24no—
296C22⋊C4×D89—42no—
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C23×C4×C89C2311yescharacteristic
334#125×C89—42no—
335#123×C89—42no—
336C2×C4⋊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×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C42×C89C2311yescharacteristic
360C2×C42×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×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380C2×D356—22no—
381C2×D356—22no—
382C2×D356—22no—
383C2×D356—22no—
384C2×D356—22no—
385C2×D356—22no—
386C2×D356—22no—
387C2×D356—22no—
388C2×D356—22no—
389C2×D356—41no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×C22⋊D89—22no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—22no—
398C2×C22⋊D89—22no—
399C2×C22⋊D89—22no—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C22×Dic89—22no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89—41no—
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C2×C4×D89—22no—
432C2×C4×D89—22no—
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—416no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
460C2×C4×D89—41no—
461C2×C4×D89#4114yes—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465C4⋊Dic89—41no—
466C4⋊Dic89—41no—
467C4⋊Dic89—41no—
468C4⋊Dic89—41no—
469C4⋊Dic89—41no—
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#13083553—41no—
482#13083553—41no—
483#13083553—41no—
484C22⋊Dic89—22no—
485C22⋊Dic89—22no—
486C22⋊Dic89—22no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
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—
523C4×Dic89—22no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C24×C89C2411yescharacteristic
527C24×C89C2411yescharacteristic
528C2×D4×C89—22no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C22×C4×C89—22no—
532C22×C4×C89—22no—
533C22×C4×C89—41no—
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537C22×C4×C89C2411yescharacteristic
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C4⋊C4×C89—22no—
548C4⋊C4×C89—22no—
549C4⋊C4×C89—22no—
550C4⋊C4×C89—22no—
551C4⋊C4×C89—41no—
552C4⋊C4×C89—41no—
553C4⋊C4×C89—41no—
554C4⋊C4×C89—41no—
555C4⋊C4×C89—41no—
556C4⋊C4×C89—41no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
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—
570C42×C89—41no—
571C42×C89—41no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89H(5,𝔽2)12yes—
586C23×C89C2511yescharacteristic
587C22×D89—21no—
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
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—44no—
613C22×D89—44no—
614C22×D89—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89C2×#4112yes—
619C22×D89H(5,𝔽2)12yes—
620C22×D89H(5,𝔽2)12yes—
621C22×D892−1+412yes—
622D4×C89—82no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—44no—
661C2×C4×C89C2×#4112yes—
662C2×C4×C89H(5,𝔽2)12yes—
663C22⋊D89—44no—
664C22⋊D89—82no—
665C22⋊D89—82no—
666C22⋊D89—82no—
667C22⋊D89—82no—
668C22⋊D89—82no—
669C2×Dic89—21no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—44no—
705C2×Dic89—82no—
706C2×Dic89C2×#4112yes—
707D356—44no—
708D356—44no—
709D356—82no—
710D356—82no—
711D356—82no—
712C4×D89—44no—
713C4×D89—44no—
714C4×D89—44no—
715C4×D89—44no—
716C4×D89—44no—
717C4×D89—44no—
718C4×D89—82no—
719C4×D89—82no—
720C4×D89—82no—
721C4×D89—82no—
722C22×C89—22no—
723C22×C89—22no—
724C22×C89—22no—
725C22×C89—41no—
726C22×C89—41no—
727C22×C89—41no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89—41no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89C22×#4111yescharacteristic
737C22×C89C2×H(5,𝔽2)11yescharacteristic
738C22×C89C2×H(5,𝔽2)11yescharacteristic
739C22×C89C2×H(5,𝔽2)11yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×2−1+411yescharacteristic
742C22×C89#58511yescharacteristic
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—416no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89#54014yes—
772C4×C89—22no—
773C4×C89—22no—
774C4×C89—41no—
775C4×C89—41no—
776C4×C89—41no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785Dic89—22no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797#36777—891nomaximal, Sylow
798C2×C89—42no—
799C2×C89—81no—
800C2×C89C2×#54011yescharacteristic
801C2×C89#349211yescharacteristic
802C2×C89#350511yescharacteristic
803C2×C89#353211yescharacteristic
804C2×C89#353411yescharacteristic
805C2×C89#353511yescharacteristic
806C2×C89#353611yescharacteristic
807D89—24no—
808D89—42no—
809D89—81no—
810D89—81no—
811#2849—891no—
812#2847—891no—
813#2780—891no—
814#2780—891no—
815#2768—891no—
816#2761—891no—
817#2753—891no—
818#2749—891no—
819#2748—891no—
820#2743—891no—
821#2738—891no—
822#2711—891no—
823#2707D8911yescharacteristic, complemented
824#2706—891no—
825#2701—891no—
826#2701—891no—
827#2688—891no—
828#2671—891no—
829#2623—891no—
830#2618—891no—
831#2539—891no—
832#2534—891no—
833#2442—891no—
834#2425—891no—
835#2424—891no—
836#2419—891no—
837#2418—891no—
838#2416—891no—
839#2325—891no—
840#2318—891no—
841C2×#385—891no—
842C89#3677711yescharacteristic, complemented, Sylow
843C24×C4—891no—
844C2×#125C2×D8911yescharacteristic, complemented
845C2×#123—891no—
846C2×#123—891no—
847C2×#123—891no—
848C2×#123—891no—
849C2×#123—891no—
850C2×#123C2×D8911yescharacteristic
851C2×#121—891no—
852C2×#121—891no—
853C2×#121—891no—
854C2×#121—891no—
855C2×#121—891no—
856C2×#121—891no—
857C2×#121—891no—
858C2×#120—891no—
859C2×#120—891no—
860C2×#120—891no—
861C2×C4×D4—891no—
862C2×C4×D4—891no—
863C2×C4×D4—891no—
864C22×C4⋊C4—891no—
865C22×C4⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C22⋊C4—891no—
868#400—891no—
869#400—891no—
870#400—891no—
871#400—891no—
872#400—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#399—891no—
878#398—891no—
879#398—891no—
880#398—891no—
881#398—891no—
882#398—891no—
883#398—891no—
884#398—891no—
885#398C2×D8911yescharacteristic, complemented
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#397—891no—
891#397C2×D8911yescharacteristic, complemented
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#396C2×D8911yescharacteristic
900#396C2×D8911yescharacteristic, complemented
901#396C2×D8911yescharacteristic, complemented
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394C2×D8911yescharacteristic
913#392—891no—
914#392—891no—
915#392—891no—
916#390—891no—
917#390—891no—
918#390—891no—
919#390—891no—
920#390—891no—
921#390C2×D8911yescharacteristic
922#389—891no—
923#389—891no—
924#389—891no—
925#389C2×D8911yescharacteristic, complemented
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388C2×D8911yescharacteristic
935#388C2×D8911yescharacteristic, complemented
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387C2×D8911yescharacteristic, complemented
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385C2×D8911yescharacteristic
978#383—891no—
979#382—891no—
980#382—891no—
981#381—891no—
982#381—891no—
983#381—891no—
984#381—891no—
985#381—891no—
986#380—891no—
987#380—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380C2×D8911yescharacteristic
994#379—891no—
995C4×C22⋊C4—891no—
996C2×#95—891no—
997C2×#95—891no—
998C25—891no—
999C22×D4—891no—
1000C22×D4—891no—
1001C22×D4—891no—
1002C22×D4—891no—
1003C22×D4—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4C22×D8911yescharacteristic
1011C23×C4—891no—
1012C23×C4—891no—
1013C23×C4—891no—
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—3562no—
1024C23×C4—3562no—
1025C23×C4—3562no—
1026C23×C4C22×D8911yescharacteristic
1027#125—42no—
1028#123—42no—
1029#123—3562no—
1030#123—3562no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034#121—3562no—
1035#121—3562no—
1036#121—3562no—
1037#121—3562no—
1038#121—3562no—
1039#121—3562no—
1040#121—1784no—
1041#120—3562no—
1042#120—3562no—
1043#120—3562no—
1044C4×D4—3562no—
1045C4×D4—3562no—
1046C4×D4—1784no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—3562no—
1070C2×C4⋊C4—3562no—
1071C2×C4⋊C4C22×D8911yescharacteristic
1072C2×C4⋊C4C22×D8911yescharacteristic
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
1082C2×C4⋊C4C22×D8911yescharacteristic
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—3562no—
1123C2×C22⋊C4—1784no—
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42C22×D8911yescharacteristic
1139C2×C42C22×D8911yescharacteristic
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180C24—891no—
1181C24—891no—
1182C24—891no—
1183C24—891no—
1184C24—3561no—
1185C24—3561no—
1186C24—1782no—
1187C24—1782no—
1188C24—1782no—
1189C24—1782no—
1190C24—1782no—
1191C24C23×D8911yescharacteristic
1192C24C23×D8911yescharacteristic
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—3561no—
1197C2×D4—3561no—
1198C2×D4—3561no—
1199C2×D4—3561no—
1200C2×D4—3561no—
1201C2×D4—3561no—
1202C2×D4—3561no—
1203C2×D4—3561no—
1204C2×D4—3561no—
1205C2×D4—3561no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—1782no—
1214C2×D4—1782no—
1215C2×D4—1782no—
1216C2×D4—1782no—
1217C2×D4—1782no—
1218C2×D4—1782no—
1219C2×D4—1782no—
1220C2×D4—1782no—
1221C2×D4—1782no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—891no—
1233C22×C4—894no—
1234C22×C4—891no—
1235C22×C4—891no—
1236C22×C4—891no—
1237C22×C4—891no—
1238C22×C4—891no—
1239C22×C4—891no—
1240C22×C4—891no—
1241C22×C4—891no—
1242C22×C4—891no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—3561no—
1246C22×C4—3561no—
1247C22×C4—3561no—
1248C22×C4—3561no—
1249C22×C4—3561no—
1250C22×C4—3561no—
1251C22×C4—3561no—
1252C22×C4—3561no—
1253C22×C4—3561no—
1254C22×C4—3561no—
1255C22×C4—3561no—
1256C22×C4—3561no—
1257C22×C4—3561no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—35616no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—1782no—
1271C22×C4—1782no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C42—41no—
1379C42—41no—
1380C42—3561no—
1381C42—3561no—
1382C42—1782no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—892no—
1397C23—892no—
1398C23—892no—
1399C23—892no—
1400C23—3564no—
1401C23—3564no—
1402C23—3564no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—1788no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23—1781no—
1419C23—1781no—
1420C23—1781no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23#1566805812yes—
1432C23C24×D8911yescharacteristic
1433D4—82no—
1434D4—3564no—
1435D4—3564no—
1436D4—3564no—
1437D4—7122no—
1438D4—7122no—
1439D4—7122no—
1440D4—7122no—
1441D4—7122no—
1442D4—7122no—
1443D4—7122no—
1444D4—7122no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—892no—
1484C2×C4—3564no—
1485C2×C4—3564no—
1486C2×C4—3564no—
1487C2×C4—3564no—
1488C2×C4—3564no—
1489C2×C4—3564no—
1490C2×C4—3564no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—7122no—
1527C2×C4—7122no—
1528C2×C4—7122no—
1529C2×C4—7122no—
1530C2×C4—7122no—
1531C2×C4#41×D8912yes—
1532C2×C4#1566805712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—894no—
1548C22—35616no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
1552C22—3561no—
1553C22—3561no—
1554C22—3561no—
1555C22—3561no—
1556C22—3561no—
1557C22—3561no—
1558C22—3561no—
1559C22—3561no—
1560C22—3561no—
1561C22—3561no—
1562C22—3561no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—1782no—
1568C22—1782no—
1569C22—1782no—
1570C22—1782no—
1571C22—1782no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22—1782no—
1576C22C2×#41×D8911yescharacteristic
1577C22H(5,𝔽2)×D8911yescharacteristic
1578C22H(5,𝔽2)×D8911yescharacteristic
1579C22C2×#1566805711yescharacteristic
1580C22C2×#1566805811yescharacteristic
1581C222−1+4×D8911yescharacteristic
1582C22#1915243511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—3561no—
1597C4—3561no—
1598C4—3561no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—1782no—
1608C2—42no—
1609C2—81no—
1610C2—3562no—
1611C2—1784no—
1612C2—7121no—
1613C2—7121no—
1614C2#540×D8911yescharacteristic
1615C2#2603395211yescharacteristic
1616C2#2603408811yescharacteristic
1617C2#2603440111yescharacteristic
1618C2#2603444011yescharacteristic
1619C2#2603446311yescharacteristic
1620C2#2603447011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2707C2
hypercenter#2707D89
hypocenterC89#36777
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2707

Complements

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

NH ≅ G/Ntype
1. #26028541C2semidirect
2. #26028535C2semidirect
3. #26027903C2semidirect
4. #26027902C2semidirect
5. #26027735C2semidirect
6. #26027645C2semidirect
7. #26027526C2semidirect
8. #26027481C2semidirect
9. #26027464C2semidirect
10. #26027392C2semidirect
11. #26027318C2semidirect
12. #26027005C2semidirect
13. #26026945C2semidirect
14. #26026869C2semidirect
15. #26026863C2semidirect
16. #26026693C2semidirect
17. #26026488C2semidirect
18. #26026033C2semidirect
19. #26025999C2semidirect
20. #26025181C2semidirect
21. #26025143C2semidirect
22. #26023972C2semidirect
23. #26023810C2semidirect
24. #26023789C2semidirect
25. #26023722C2semidirect
26. #26023719C2semidirect
27. #26023687C2semidirect
28. #26022956C2semidirect
29. #26022884C2semidirect
30. #385×D89C2semidirect
31. C89×#2707C2semidirect
43. C2×#15667985C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
57. #19151539C22semidirect
58. #19151536C22semidirect
59. #19151536C22semidirect
63. #19151533C22semidirect
64. #19151533C22semidirect
65. #19151532C22semidirect
66. #19151532C22semidirect
67. #19151531C22semidirect
68. #19151531C22semidirect
69. #19151531C22semidirect
70. #19151531C22semidirect
71. #19151528C22semidirect
72. #19151526C22semidirect
73. #19151525C22semidirect
74. #19151524C22semidirect
75. #19151524C22semidirect
78. #19151521C22semidirect
80. #19151520C22semidirect
81. #19151520C22semidirect
82. #19151520C22semidirect
83. #19151520C22semidirect
86. #19151515C22semidirect
87. #19151515C22semidirect
90. #19151514C22semidirect
91. #19151514C22semidirect
93. #19151513C22semidirect
101. #19151498C22semidirect
102. #19151497C22semidirect
103. #19151496C22semidirect
104. #19151493C22semidirect
107. #19151489C22semidirect
108. #19151489C22semidirect
110. #19151488C22semidirect
111. #19151487C22semidirect
113. #19151485C22semidirect
114. #19151484C22semidirect
115. #19151484C22semidirect
116. #19151482C22semidirect
117. #19151481C22semidirect
126. #19151476C22semidirect
130. #19151475C22semidirect
136. #19151474C22semidirect
138. #19151473C22semidirect
139. #19151473C22semidirect
143. #19151472C22semidirect
153. #19151465C22semidirect
154. #19151463C22semidirect
155. #19151462C22semidirect
158. #19151460C22semidirect
160. #19151459C22semidirect
161. #19151457C22semidirect
162. #19151457C22semidirect
167. #19151455C22semidirect
172. C2×#125×C89C22semidirect
174. #398×C89C22semidirect
175. #397×C89C22semidirect
177. #396×C89C22semidirect
178. #396×C89C22semidirect
181. #389×C89C22semidirect
183. #388×C89C22semidirect
184. #387×C89C22semidirect
823. #2707D89semidirect
842. C89#36777semidirect
844. C2×#125C2×D89semidirect
885. #398C2×D89semidirect
891. #397C2×D89semidirect
900. #396C2×D89semidirect
901. #396C2×D89semidirect
925. #389C2×D89semidirect
935. #388C2×D89semidirect
941. #387C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285412
#260285352
#260279032
#260279022
#260277352
#260276452
#260275262
#260274812
#260274642
#260273922
#260273182
#260270052
#260269452
#260268692
#260268632
#260266932
#260264882
#260260332
#260259992
#260251812
#260251432
#260239722
#260238102
#260237892
#260237222
#260237192
#260236872
#260229562
#260228842
#385×D892
C89×#27072
#3677789