Finite Group Databasebeta

← #36727707

Subgroups — #36727707

Order 22784.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028621C211yesmaximal, characteristic, complemented
2#26028618C211yesmaximal, characteristic, complemented
3#26028579C211yesmaximal, characteristic, complemented
4#26028550C211yesmaximal, characteristic, complemented
5#26026279C211yesmaximal, characteristic, complemented
6#26026246C211yesmaximal, characteristic, complemented
7#26026244C211yesmaximal, characteristic, complemented
8#26025744C211yesmaximal, characteristic, complemented
9#26025742C211yesmaximal, characteristic, complemented
10#26025315C211yesmaximal, characteristic, complemented
11#26025307C211yesmaximal, characteristic, complemented
12#26024844C211yesmaximal, characteristic, complemented
13#26024599C211yesmaximal, characteristic, complemented
14#26024501C211yesmaximal, characteristic, complemented
15#26024493C211yesmaximal, characteristic, complemented
16#26024045C211yesmaximal, characteristic, complemented
17#26023971C211yesmaximal, characteristic, complemented
18#26023898C211yesmaximal, characteristic, complemented
19#26023813C211yesmaximal, characteristic, complemented
20#26023717C211yesmaximal, characteristic, complemented
21#26023715C211yesmaximal, characteristic, complemented
22#26023698C211yesmaximal, characteristic, complemented
23#26023603C211yesmaximal, characteristic
24#26022914C211yesmaximal, characteristic, complemented
25#26022914C211yesmaximal, characteristic, complemented
26#26022846C211yesmaximal, characteristic, complemented
27#26022846C211yesmaximal, characteristic, complemented
28#26022786C211yesmaximal, characteristic, complemented
29#390×D89C211yesmaximal, characteristic, complemented
30C4×#15667974C211yesmaximal, characteristic, complemented
31C89×#2651C211yesmaximal, characteristic, complemented
32C22×D4×D89C2211yescharacteristic
33C2×#15668007C2211yescharacteristic, complemented
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15668002C2211yescharacteristic, complemented
36C2×#15667998C2211yescharacteristic
37C2×#15667998C2211yescharacteristic
38C2×#15667997C2211yescharacteristic, complemented
39C2×#15667994C2211yescharacteristic, complemented
40C2×#15667990C2211yescharacteristic
41C2×#15667990C2211yescharacteristic, complemented
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667977C2211yescharacteristic, complemented
47C2×C4×D356C2211yescharacteristic
48C2×#15667974C2211yescharacteristic
49C2×#15667974C2211yescharacteristic
50C2×C4⋊C4×D89C2211yescharacteristic
51C2×C22⋊C4×D89C2211yescharacteristic
52C2×C22⋊C4×D89C2211yescharacteristic
53C2×C22⋊C4×D89C2211yescharacteristic
54C2×C22⋊C4×D89C2211yescharacteristic
55C2×C42×D89C2211yescharacteristic
56C2×C42×D89C2211yescharacteristic, complemented
57#19151540C2211yescharacteristic, complemented
58#19151537C2211yescharacteristic, complemented
59#19151533C2211yescharacteristic, complemented
60#19151532C2211yescharacteristic, complemented
61#19151531C2211yescharacteristic, complemented
62#19151527C2211yescharacteristic, complemented
63#19151527C2211yescharacteristic, complemented
64#19151526C2211yescharacteristic, complemented
65#19151524C2211yescharacteristic, complemented
66#19151524C2211yescharacteristic, complemented
67#19151523C2211yescharacteristic, complemented
68#19151522C2211yescharacteristic, complemented
69#19151520C2211yescharacteristic, complemented
70#19151520C2211yescharacteristic, complemented
71#19151516C2211yescharacteristic
72#19151516C2211yescharacteristic, complemented
73#19151515C2211yescharacteristic
74#19151515C2211yescharacteristic
75#19151515C2211yescharacteristic, complemented
76#19151514C2211yescharacteristic, complemented
77#19151513C2211yescharacteristic, complemented
78#19151512C2211yescharacteristic
79#19151508C2211yescharacteristic
80#19151506C2211yescharacteristic
81#19151502C2211yescharacteristic, complemented
82#19151502C2211yescharacteristic, complemented
83#19151501C2211yescharacteristic
84#19151500C2211yescharacteristic
85#19151499C2211yescharacteristic
86#19151499C2211yescharacteristic, complemented
87#19151499C2211yescharacteristic, complemented
88#19151498C2211yescharacteristic
89#19151498C2211yescharacteristic
90#19151498C2211yescharacteristic
91#19151498C2211yescharacteristic
92#19151498C2211yescharacteristic
93#19151498C2211yescharacteristic
94#19151498C2211yescharacteristic
95#19151498C2211yescharacteristic
96#19151498C2211yescharacteristic, complemented
97#19151498C2211yescharacteristic, complemented
98#19151495C2211yescharacteristic, complemented
99#19151495C2211yescharacteristic, complemented
100#19151493C2211yescharacteristic, complemented
101#19151493C2211yescharacteristic, complemented
102#19151492C2211yescharacteristic, complemented
103#19151492C2211yescharacteristic, complemented
104#19151492C2211yescharacteristic, complemented
105#19151492C2211yescharacteristic, complemented
106#19151491C2211yescharacteristic, complemented
107#19151491C2211yescharacteristic, complemented
108#19151491C2211yescharacteristic, complemented
109#19151491C2211yescharacteristic, complemented
110#19151490C2211yescharacteristic, complemented
111#19151490C2211yescharacteristic, complemented
112#19151490C2211yescharacteristic, complemented
113#19151490C2211yescharacteristic, complemented
114#19151490C2211yescharacteristic, complemented
115#19151490C2211yescharacteristic, complemented
116#19151490C2211yescharacteristic, complemented
117#19151489C2211yescharacteristic, complemented
118#19151489C2211yescharacteristic, complemented
119#19151489C2211yescharacteristic, complemented
120#19151489C2211yescharacteristic, complemented
121#19151488C2211yescharacteristic, complemented
122#19151488C2211yescharacteristic, complemented
123#19151488C2211yescharacteristic, complemented
124#19151488C2211yescharacteristic, complemented
125#19151487C2211yescharacteristic, complemented
126#19151487C2211yescharacteristic, complemented
127#19151486C2211yescharacteristic, complemented
128#19151486C2211yescharacteristic, complemented
129#19151486C2211yescharacteristic, complemented
130#19151486C2211yescharacteristic, complemented
131#19151486C2211yescharacteristic, complemented
132#19151482C2211yescharacteristic, complemented
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic, complemented
136#19151476C2211yescharacteristic, complemented
137#19151476C2211yescharacteristic, complemented
138#19151474C2211yescharacteristic, complemented
139#19151474C2211yescharacteristic, complemented
140#19151474C2211yescharacteristic, complemented
141#19151472C2211yescharacteristic
142#19151469C2211yescharacteristic
143#19151469C2211yescharacteristic
144#19151469C2211yescharacteristic
145#19151462C2211yescharacteristic, complemented
146#19151457C2211yescharacteristic
147#19151457C2211yescharacteristic
148#19151457C2211yescharacteristic
149#19151457C2211yescharacteristic, complemented
150#19151455C2211yescharacteristic
151#19151455C2211yescharacteristic
152#19151453C2211yescharacteristic
153#19151453C2211yescharacteristic
154#19151453C2211yescharacteristic
155#19151453C2211yescharacteristic
156#19151453C2211yescharacteristic
157#19151453C2211yescharacteristic
158C4⋊C4×Dic89C2211yescharacteristic, complemented
159C4⋊C4×Dic89C2211yescharacteristic, complemented
160C4⋊C4×Dic89C2211yescharacteristic, complemented
161#19151449C2211yescharacteristic, complemented
162#19151449C2211yescharacteristic, complemented
163C4×#13083551C2211yescharacteristic
164C4×#13083551C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic
168#19151445C2211yescharacteristic
169#19151445C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171C42×Dic89C2211yescharacteristic, complemented
172#399×C89C2211yescharacteristic, complemented
173#398×C89C2211yescharacteristic, complemented
174#398×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#396×C89C2211yescharacteristic, complemented
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#390×C89C2211yescharacteristic
181#388×C89C2211yescharacteristic, complemented
182#388×C89C2211yescharacteristic, complemented
183#388×C89C2211yescharacteristic, complemented
184#388×C89C2211yescharacteristic, complemented
185#387×C89C2211yescharacteristic, complemented
186C4×C4⋊C4×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C2×D4×D89—24no—
199C2×D4×D89—42no—
200C2×D4×D89—42no—
201C22×C4×D89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209#15668007—42no—
210#15668005—42no—
211#15668002—42no—
212#15667998—42no—
213#15667998—42no—
214#15667997—42no—
215#15667994—42no—
216#15667990—24no—
217#15667990—42no—
218#15667985—42no—
219#15667985—42no—
220#15667982—24no—
221#15667982—24no—
222#15667977—42no—
223C4×D356—24no—
224#15667974—24no—
225#15667974—24no—
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C4⋊C4×D89—42no—
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×#13083551C2311yescharacteristic
257C2×#13083551C2311yescharacteristic
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
292C22⋊C4×D89—24no—
293C22⋊C4×D89—24no—
294C22⋊C4×D89—42no—
295C22⋊C4×D89—42no—
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C42×D89—42no—
311C42×D89—42no—
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C2×C4⋊C4×C89C2311yescharacteristic
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×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊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×C42×C89C2311yescharacteristic
357C2×C42×C89C2311yescharacteristic
358C2×C42×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—22no—
375C23×D89—41no—
376C23×D89—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89—41no—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C23×D89C2411yescharacteristic
387C2×Dic178—22no—
388C2×Dic178—22no—
389C2×Dic178—22no—
390C2×D356—22no—
391C2×D356—22no—
392C2×D356—22no—
393C2×D356—22no—
394C2×D356—22no—
395C2×D356—41no—
396C2×D356—41no—
397C2×D356—41no—
398C2×D356—41no—
399C2×D356—41no—
400C2×D356—41no—
401C2×D356#4114yes—
402C2×C22⋊D89—22no—
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—
414D4×D89—416no—
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C2×C4×D89—22no—
428C2×C4×D89—22no—
429C2×C4×D89—22no—
430C2×C4×D89—22no—
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—41no—
440C2×C4×D89—41no—
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#4114yes—
450C2×C4×D89#4114yes—
451C4⋊Dic89—22no—
452C4⋊Dic89—22no—
453C4⋊Dic89—41no—
454C4⋊Dic89—41no—
455C4⋊Dic89—41no—
456#13083553—22no—
457#13083553—22no—
458#13083553—22no—
459#13083553—22no—
460#13083553—22no—
461#13083553—22no—
462#13083553—22no—
463#13083553—41no—
464#13083553—41no—
465#13083553—41no—
466#13083553—41no—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480#13083551—22no—
481#13083551—22no—
482#13083551—22no—
483#13083551—22no—
484#13083551—22no—
485#13083551—22no—
486#13083551—22no—
487#13083551—22no—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516C4×Dic89—22no—
517C4×Dic89—22no—
518C4×Dic89—22no—
519C4×Dic89—22no—
520C4×Dic89—22no—
521C4×Dic89—22no—
522C4×Dic89—22no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C4×Dic89—41no—
529C4×Dic89—41no—
530C24×C89C2411yescharacteristic
531C24×C89C2411yescharacteristic
532C2×D4×C89—22no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
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
547C22×C4×C89C2411yescharacteristic
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—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—41no—
562C22⋊C4×C89—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C42×C89—22no—
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×C89—21no—
586C23×C89C2511yescharacteristic
587C22×D89—21no—
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—21no—
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—44no—
612C22×D89—44no—
613C22×D89—44no—
614C22×D89—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—82no—
618C22×D89—82no—
619C22×D89—82no—
620C22×D89—82no—
621C22×D89—82no—
622C22×D89—82no—
623C22×D89—82no—
624C22×D89—82no—
625C22×D89C2×#4112yes—
626C22×D89C2×#4112yes—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629D4×C89—44no—
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—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89C2×#4112yes—
667C2×C4×C89C2×#4112yes—
668C2×C4×C89C2×#4112yes—
669C22⋊D89—44no—
670C22⋊D89—44no—
671C22⋊D89—82no—
672C22⋊D89—82no—
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×Dic89C2×#4112yes—
705C2×Dic89C2×#4112yes—
706C2×Dic89H(5,𝔽2)12yes—
707C2×Dic89H(5,𝔽2)12yes—
708C2×Dic89H(5,𝔽2)12yes—
709D356—28no—
710D356—44no—
711D356—82no—
712D356—82no—
713C4×D89—28no—
714C4×D89—44no—
715C4×D89—44no—
716C4×D89—44no—
717C4×D89—44no—
718C4×D89—44no—
719C4×D89—82no—
720C4×D89—82no—
721Dic178—44no—
722C22×C89—41no—
723C22×C89—41no—
724C22×C89—41no—
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×C89C22×#4111yescharacteristic
738C22×C89C22×#4111yescharacteristic
739C22×C89C2×H(5,𝔽2)11yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×H(5,𝔽2)11yescharacteristic
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—41no—
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—88no—
771C2×D89—88no—
772C2×D89#52914yes—
773C4×C89—22no—
774C4×C89—22no—
775C4×C89—22no—
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—
785C4×C89—41no—
786Dic89—22no—
787Dic89—22no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89#53814yes—
798#35025—891nomaximal, Sylow
799C2×C89—81no—
800C2×C89—81no—
801C2×C89C2×#52911yescharacteristic
802C2×C89C2×#53811yescharacteristic
803C2×C89#346011yescharacteristic
804C2×C89#350511yescharacteristic
805C2×C89#350811yescharacteristic
806C2×C89#351411yescharacteristic
807C2×C89#351911yescharacteristic
808D89—24no—
809D89—42no—
810D89—81no—
811D89—81no—
812#2861—891no—
813#2860—891no—
814#2854—891no—
815#2850—891no—
816#2651—891no—
817#2651D8911yescharacteristic, complemented
818#2648—891no—
819#2648—891no—
820#2593—891no—
821#2593—891no—
822#2554—891no—
823#2554—891no—
824#2513—891no—
825#2490—891no—
826#2480—891no—
827#2480—891no—
828#2448—891no—
829#2442—891no—
830#2435—891no—
831#2426—891no—
832#2418—891no—
833#2418—891no—
834#2417—891no—
835#2408—891no—
836#2321—891no—
837#2321—891no—
838#2312—891no—
839#2312—891no—
840C4×C22⋊Q8—891no—
841C2×#390—891no—
842C42×D4—891no—
843C89#3502511yescharacteristic, complemented, Sylow
844C23×D4—891no—
845C2×#126—891no—
846C2×#126—891no—
847C2×#125—891no—
848C2×#124—891no—
849C2×#124—891no—
850C2×#123—891no—
851C2×#123—891no—
852C2×C22⋊Q8—891no—
853C2×C22⋊Q8—891no—
854C2×#121—891no—
855C2×#121—891no—
856C2×#120—891no—
857C2×#120—891no—
858C2×C4×Q8—891no—
859C2×C4×D4—891no—
860C2×C4×D4—891no—
861C2×C4×D4—891no—
862C22×C4⋊C4—891no—
863C22×C22⋊C4—891no—
864C22×C22⋊C4—891no—
865C22×C22⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C42—891no—
868C22×C42—891no—
869#400—891no—
870#400—891no—
871#399—891no—
872#399C2×D8911yescharacteristic, complemented
873#398—891no—
874#398—891no—
875#398C2×D8911yescharacteristic, complemented
876#398C2×D8911yescharacteristic, complemented
877#397—891no—
878#397—891no—
879#397—891no—
880#397—891no—
881#397—891no—
882#397—891no—
883#397C2×D8911yescharacteristic, complemented
884#397C2×D8911yescharacteristic, complemented
885#396—891no—
886#396—891no—
887#396—891no—
888#396C2×D8911yescharacteristic, complemented
889#394—891no—
890#394—891no—
891#394—891no—
892#394—891no—
893#394—891no—
894#394—891no—
895#394—891no—
896#394—891no—
897#394C2×D8911yescharacteristic
898#394C2×D8911yescharacteristic
899#392—891no—
900#392—891no—
901#391—891no—
902#391—891no—
903#390—891no—
904#390—891no—
905#390—891no—
906#390—891no—
907#390—891no—
908#390—891no—
909#390—891no—
910#390—891no—
911#390—891no—
912#390—891no—
913#390—891no—
914#390—891no—
915#390—891no—
916#390—891no—
917#390—891no—
918#390C2×D8911yescharacteristic
919#389—891no—
920#389—891no—
921#389—891no—
922#389—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388—891no—
943#388—891no—
944#388—891no—
945#388—891no—
946#388—891no—
947#388—891no—
948#388—891no—
949#388—891no—
950#388—891no—
951#388—891no—
952#388—891no—
953#388C2×D8911yescharacteristic, complemented
954#388C2×D8911yescharacteristic, complemented
955#388C2×D8911yescharacteristic, complemented
956#388C2×D8911yescharacteristic, complemented
957#387—891no—
958#387C2×D8911yescharacteristic, complemented
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#382—891no—
972#380—891no—
973#380—891no—
974#380—891no—
975#380—891no—
976#380—891no—
977#380—891no—
978#379—891no—
979#379—891no—
980#379—891no—
981#379—891no—
982#379—891no—
983#379—891no—
984C4×C4⋊C4—891no—
985C4×C4⋊C4—891no—
986C4×C4⋊C4—891no—
987C4×C4⋊C4—891no—
988C4×C4⋊C4—891no—
989C4×C4⋊C4C2×D8911yescharacteristic, complemented
990C4×C22⋊C4—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C43—891no—
999C25—891no—
1000C25—891no—
1001C22×Q8—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×D4—3562no—
1011C22×D4—3562no—
1012C22×D4—1784no—
1013C22×D4C22×D8911yescharacteristic
1014C23×C4—891no—
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022#126—3562no—
1023#126—3562no—
1024#125—3562no—
1025#124—3562no—
1026#124—3562no—
1027#123—3562no—
1028#123—3562no—
1029C22⋊Q8—3562no—
1030C22⋊Q8—1784no—
1031#121—3562no—
1032#121—3562no—
1033#120—1784no—
1034#120—1784no—
1035C4×Q8—3562no—
1036C4×D4—1784no—
1037C4×D4—1784no—
1038C4×D4—1784no—
1039C2×C4⋊C4—891no—
1040C2×C4⋊C4—891no—
1041C2×C4⋊C4—891no—
1042C2×C4⋊C4—891no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—891no—
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—3562no—
1059C2×C4⋊C4C22×D8911yescharacteristic
1060C2×C4⋊C4C22×D8911yescharacteristic
1061C2×C4⋊C4C22×D8911yescharacteristic
1062C2×C4⋊C4C22×D8911yescharacteristic
1063C2×C4⋊C4C22×D8911yescharacteristic
1064C2×C4⋊C4C22×D8911yescharacteristic
1065C2×C4⋊C4C22×D8911yescharacteristic
1066C2×C4⋊C4C22×D8911yescharacteristic
1067C2×C4⋊C4C22×D8911yescharacteristic
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—891no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
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—3562no—
1115C2×C22⋊C4—3562no—
1116C2×C22⋊C4—1784no—
1117C2×C22⋊C4—1784no—
1118C2×C22⋊C4C22×D8911yescharacteristic
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
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×C42—891no—
1131C2×C42—891no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—3562no—
1145C2×C42—3562no—
1146C2×C42C22×D8911yescharacteristic
1147C2×C42C22×D8911yescharacteristic
1148C2×C42C22×D8911yescharacteristic
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#95C22×D8911yescharacteristic
1172#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181C24—891no—
1182C24—891no—
1183C24—891no—
1184C24—891no—
1185C24—3561no—
1186C24—3561no—
1187C24—3561no—
1188C24—3561no—
1189C24—3561no—
1190C24—3561no—
1191C24—3561no—
1192C24—3561no—
1193C24—1782no—
1194C24—1782no—
1195C24—1782no—
1196C24—1782no—
1197C24—1782no—
1198C24—1782no—
1199C24C23×D8911yescharacteristic
1200C24C23×D8911yescharacteristic
1201C2×Q8—1782no—
1202C2×Q8—1782no—
1203C2×Q8—1782no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—894no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—3561no—
1214C2×D4—35616no—
1215C2×D4—3561no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
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—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C22×C4—891no—
1233C22×C4—891no—
1234C22×C4—891no—
1235C22×C4—894no—
1236C22×C4—894no—
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—891no—
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—1782no—
1257C22×C4—1782no—
1258C22×C4—1782no—
1259C22×C4—1782no—
1260C22×C4—1782no—
1261C22×C4—1782no—
1262C22×C4—1782no—
1263C22×C4—1782no—
1264C22×C4—1782no—
1265C22×C4—1782no—
1266C22×C4—1782no—
1267C22×C4—1782no—
1268C22×C4C23×D8911yescharacteristic
1269C22×C4C23×D8911yescharacteristic
1270C22×C4C23×D8911yescharacteristic
1271C22×C4C23×D8911yescharacteristic
1272C22×C4C23×D8911yescharacteristic
1273C22×C4C23×D8911yescharacteristic
1274C22×C4C23×D8911yescharacteristic
1275C22×C4C23×D8911yescharacteristic
1276C22×C4C23×D8911yescharacteristic
1277C22×C4C23×D8911yescharacteristic
1278C22×C4C23×D8911yescharacteristic
1279C22×C4C23×D8911yescharacteristic
1280C22×C4C23×D8911yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—3561no—
1291C4⋊C4—3561no—
1292C4⋊C4—3561no—
1293C4⋊C4—3561no—
1294C4⋊C4—3561no—
1295C4⋊C4—3561no—
1296C4⋊C4—3561no—
1297C4⋊C4—3561no—
1298C4⋊C4—3561no—
1299C4⋊C4—3561no—
1300C4⋊C4—1782no—
1301C4⋊C4—1782no—
1302C4⋊C4—1782no—
1303C4⋊C4—1782no—
1304C4⋊C4—1782no—
1305C4⋊C4—1782no—
1306C4⋊C4—1782no—
1307C4⋊C4—1782no—
1308C4⋊C4—1782no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—3561no—
1322C22⋊C4—3561no—
1323C22⋊C4—3561no—
1324C22⋊C4—3561no—
1325C22⋊C4—3561no—
1326C22⋊C4—3561no—
1327C22⋊C4—3561no—
1328C22⋊C4—3561no—
1329C22⋊C4—3561no—
1330C22⋊C4—3561no—
1331C22⋊C4—3561no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—1782no—
1346C22⋊C4—1782no—
1347C22⋊C4—1782no—
1348C22⋊C4—1782no—
1349C22⋊C4—1782no—
1350C22⋊C4—1782no—
1351C22⋊C4—1782no—
1352C22⋊C4—1782no—
1353C22⋊C4—1782no—
1354C22⋊C4—1782no—
1355C22⋊C4—1782no—
1356C22⋊C4—1782no—
1357C22⋊C4—1782no—
1358C22⋊C4—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C42—22no—
1368C42—41no—
1369C42—41no—
1370C42—3561no—
1371C42—3561no—
1372C42—3561no—
1373C42—3561no—
1374C42—3561no—
1375C42—3561no—
1376C42—3561no—
1377C42—1782no—
1378C42—1782no—
1379C42—1782no—
1380C42—1782no—
1381C42—1782no—
1382C42—1782no—
1383C42—1782no—
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—21no—
1397C23—21no—
1398C23—892no—
1399C23—892no—
1400C23—892no—
1401C23—892no—
1402C23—3564no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—3564no—
1407C23—3564no—
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—1781no—
1432C23—7122no—
1433C23—7122no—
1434C23—7122no—
1435C23—7122no—
1436C23—7122no—
1437C23—7122no—
1438C23—7122no—
1439C23—7122no—
1440C23C24×D8911yescharacteristic
1441Q8—3564no—
1442D4—44no—
1443D4—3564no—
1444D4—3564no—
1445D4—3564no—
1446D4—1788no—
1447D4—7122no—
1448D4—7122no—
1449D4—7122no—
1450D4—7122no—
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—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—892no—
1488C2×C4—892no—
1489C2×C4—892no—
1490C2×C4—892no—
1491C2×C4—892no—
1492C2×C4—3564no—
1493C2×C4—3564no—
1494C2×C4—3564no—
1495C2×C4—3564no—
1496C2×C4—3564no—
1497C2×C4—1788no—
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—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—7122no—
1530C2×C4—7122no—
1531C2×C4#41×D8912yes—
1532C2×C4#41×D8912yes—
1533C2×C4#41×D8912yes—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—894no—
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—
1576C22—7128no—
1577C22—7128no—
1578C22C2×#41×D8911yescharacteristic
1579C22C2×#41×D8911yescharacteristic
1580C22C2×#41×D8911yescharacteristic
1581C22H(5,𝔽2)×D8911yescharacteristic
1582C22H(5,𝔽2)×D8911yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22#1915243511yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—894no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—1782no—
1609C4—1782no—
1610C2—81no—
1611C2—81no—
1612C2—3562no—
1613C2—1784no—
1614C2—7121no—
1615C2—7121no—
1616C2#529×D8911yescharacteristic
1617C2#538×D8911yescharacteristic
1618C2#2603367211yescharacteristic
1619C2#2603408411yescharacteristic
1620C2#2603412411yescharacteristic
1621C2#2603421111yescharacteristic
1622C2#2603428211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2651C2
prime radical#26023603C2
hypercenter#2651D89
hypocenterC89#35025
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2651

Complements

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

NH ≅ G/Ntype
1. #26028621C2semidirect
2. #26028618C2semidirect
3. #26028579C2semidirect
4. #26028550C2semidirect
5. #26026279C2semidirect
6. #26026246C2semidirect
7. #26026244C2semidirect
8. #26025744C2semidirect
9. #26025742C2semidirect
10. #26025315C2semidirect
11. #26025307C2semidirect
12. #26024844C2semidirect
13. #26024599C2semidirect
14. #26024501C2semidirect
15. #26024493C2semidirect
16. #26024045C2semidirect
17. #26023971C2semidirect
18. #26023898C2semidirect
19. #26023813C2semidirect
20. #26023717C2semidirect
21. #26023715C2semidirect
22. #26023698C2semidirect
24. #26022914C2semidirect
25. #26022914C2semidirect
26. #26022846C2semidirect
27. #26022846C2semidirect
28. #26022786C2semidirect
29. #390×D89C2semidirect
30. C4×#15667974C2semidirect
31. C89×#2651C2semidirect
33. C2×#15668007C22semidirect
34. C2×#15668005C22semidirect
35. C2×#15668002C22semidirect
38. C2×#15667997C22semidirect
39. C2×#15667994C22semidirect
41. C2×#15667990C22semidirect
46. C2×#15667977C22semidirect
56. C2×C42×D89C22semidirect
57. #19151540C22semidirect
58. #19151537C22semidirect
59. #19151533C22semidirect
60. #19151532C22semidirect
61. #19151531C22semidirect
62. #19151527C22semidirect
63. #19151527C22semidirect
64. #19151526C22semidirect
65. #19151524C22semidirect
66. #19151524C22semidirect
67. #19151523C22semidirect
68. #19151522C22semidirect
69. #19151520C22semidirect
70. #19151520C22semidirect
72. #19151516C22semidirect
75. #19151515C22semidirect
76. #19151514C22semidirect
77. #19151513C22semidirect
81. #19151502C22semidirect
82. #19151502C22semidirect
86. #19151499C22semidirect
87. #19151499C22semidirect
96. #19151498C22semidirect
97. #19151498C22semidirect
98. #19151495C22semidirect
99. #19151495C22semidirect
100. #19151493C22semidirect
101. #19151493C22semidirect
102. #19151492C22semidirect
103. #19151492C22semidirect
104. #19151492C22semidirect
105. #19151492C22semidirect
106. #19151491C22semidirect
107. #19151491C22semidirect
108. #19151491C22semidirect
109. #19151491C22semidirect
110. #19151490C22semidirect
111. #19151490C22semidirect
112. #19151490C22semidirect
113. #19151490C22semidirect
114. #19151490C22semidirect
115. #19151490C22semidirect
116. #19151490C22semidirect
117. #19151489C22semidirect
118. #19151489C22semidirect
119. #19151489C22semidirect
120. #19151489C22semidirect
121. #19151488C22semidirect
122. #19151488C22semidirect
123. #19151488C22semidirect
124. #19151488C22semidirect
125. #19151487C22semidirect
126. #19151487C22semidirect
127. #19151486C22semidirect
128. #19151486C22semidirect
129. #19151486C22semidirect
130. #19151486C22semidirect
131. #19151486C22semidirect
132. #19151482C22semidirect
135. #19151476C22semidirect
136. #19151476C22semidirect
137. #19151476C22semidirect
138. #19151474C22semidirect
139. #19151474C22semidirect
140. #19151474C22semidirect
145. #19151462C22semidirect
149. #19151457C22semidirect
158. C4⋊C4×Dic89C22semidirect
159. C4⋊C4×Dic89C22semidirect
160. C4⋊C4×Dic89C22semidirect
161. #19151449C22semidirect
162. #19151449C22semidirect
164. C4×#13083551C22semidirect
169. #19151445C22semidirect
170. #19151445C22semidirect
171. C42×Dic89C22semidirect
172. #399×C89C22semidirect
173. #398×C89C22semidirect
174. #398×C89C22semidirect
175. #397×C89C22semidirect
176. #397×C89C22semidirect
177. #396×C89C22semidirect
181. #388×C89C22semidirect
182. #388×C89C22semidirect
183. #388×C89C22semidirect
184. #388×C89C22semidirect
185. #387×C89C22semidirect
186. C4×C4⋊C4×C89C22semidirect
817. #2651D89semidirect
843. C89#35025semidirect
872. #399C2×D89semidirect
875. #398C2×D89semidirect
876. #398C2×D89semidirect
883. #397C2×D89semidirect
884. #397C2×D89semidirect
888. #396C2×D89semidirect
953. #388C2×D89semidirect
954. #388C2×D89semidirect
955. #388C2×D89semidirect
956. #388C2×D89semidirect
958. #387C2×D89semidirect
989. C4×C4⋊C4C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260286212
#260286182
#260285792
#260285502
#260262792
#260262462
#260262442
#260257442
#260257422
#260253152
#260253072
#260248442
#260245992
#260245012
#260244932
#260240452
#260239712
#260238982
#260238132
#260237172
#260237152
#260236982
#260236032
#260229142
#260228462
#260227862
#390×D892
C4×#156679742
C89×#26512
#3502589