Finite Group Databasebeta

← #36727172

Subgroups — #36727172

Order 22784.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028566C211yesmaximal, characteristic, complemented
2#26028566C211yesmaximal, characteristic, complemented
3#26028566C211yesmaximal, characteristic, complemented
4#26028564C211yesmaximal, characteristic, complemented
5#26026209C211yesmaximal, characteristic, complemented
6#26026204C211yesmaximal, characteristic, complemented
7#26026204C211yesmaximal, characteristic, complemented
8#26026204C211yesmaximal, characteristic, complemented
9#26024817C211yesmaximal, characteristic, complemented
10#26024815C211yesmaximal, characteristic, complemented
11#26024811C211yesmaximal, characteristic, complemented
12#26024805C211yesmaximal, characteristic, complemented
13#26024643C211yesmaximal, characteristic, complemented
14#26024639C211yesmaximal, characteristic, complemented
15#26024635C211yesmaximal, characteristic, complemented
16#26024631C211yesmaximal, characteristic, complemented
17#26024519C211yesmaximal, characteristic, complemented
18#26024514C211yesmaximal, characteristic, complemented
19#26024509C211yesmaximal, characteristic, complemented
20#26024508C211yesmaximal, characteristic, complemented
21#26024497C211yesmaximal, characteristic, complemented
22#26024495C211yesmaximal, characteristic, complemented
23#26024492C211yesmaximal, characteristic, complemented
24#26022865C211yesmaximal, characteristic, complemented
25#26022863C211yesmaximal, characteristic, complemented
26#26022828C211yesmaximal, characteristic
27#26022828C211yesmaximal, characteristic
28C2×#19151474C211yesmaximal, characteristic
29#385×D89C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D89C211yesmaximal, characteristic, complemented
31C89×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15668005C2211yescharacteristic, complemented
36C2×#15668005C2211yescharacteristic, complemented
37C2×C4⋊C4×D89C2211yescharacteristic, complemented
38C2×C4⋊C4×D89C2211yescharacteristic, complemented
39C22×C22⋊Dic89C2211yescharacteristic
40C22×#13083551C2211yescharacteristic
41C2×C22⋊C4×D89C2211yescharacteristic
42C2×C22⋊C4×D89C2211yescharacteristic
43C2×C22⋊C4×D89C2211yescharacteristic
44C2×C22⋊C4×D89C2211yescharacteristic
45C2×C42×D89C2211yescharacteristic, complemented
46C2×C42×D89C2211yescharacteristic, complemented
47C89⋊#401C2211yescharacteristic, complemented
48C89⋊#401C2211yescharacteristic, complemented
49C89⋊#401C2211yescharacteristic, complemented
50C89⋊#401C2211yescharacteristic, complemented
51#19151540C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151537C2211yescharacteristic, complemented
58#19151537C2211yescharacteristic, complemented
59#19151537C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151536C2211yescharacteristic, complemented
62#19151536C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151526C2211yescharacteristic, complemented
65#19151526C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic, complemented
67#19151526C2211yescharacteristic, complemented
68#19151526C2211yescharacteristic, complemented
69#19151523C2211yescharacteristic, complemented
70#19151523C2211yescharacteristic, complemented
71#19151523C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151521C2211yescharacteristic, complemented
75#19151492C2211yescharacteristic, complemented
76#19151492C2211yescharacteristic, complemented
77#19151492C2211yescharacteristic, complemented
78#19151491C2211yescharacteristic, complemented
79#19151491C2211yescharacteristic, complemented
80#19151491C2211yescharacteristic, complemented
81#19151486C2211yescharacteristic, complemented
82#19151486C2211yescharacteristic, complemented
83#19151486C2211yescharacteristic, complemented
84#19151484C2211yescharacteristic, complemented
85#19151484C2211yescharacteristic, complemented
86#19151484C2211yescharacteristic, complemented
87#19151482C2211yescharacteristic, complemented
88#19151482C2211yescharacteristic, complemented
89#19151482C2211yescharacteristic, complemented
90#19151481C2211yescharacteristic, complemented
91#19151481C2211yescharacteristic, complemented
92#19151481C2211yescharacteristic, complemented
93#19151479C2211yescharacteristic, complemented
94#19151479C2211yescharacteristic, complemented
95#19151479C2211yescharacteristic, complemented
96#19151474C2211yescharacteristic
97#19151474C2211yescharacteristic
98#19151474C2211yescharacteristic
99#19151474C2211yescharacteristic
100#19151474C2211yescharacteristic
101#19151474C2211yescharacteristic
102#19151474C2211yescharacteristic
103#19151474C2211yescharacteristic
104#19151474C2211yescharacteristic
105#19151474C2211yescharacteristic
106#19151474C2211yescharacteristic
107#19151474C2211yescharacteristic
108#19151474C2211yescharacteristic
109#19151474C2211yescharacteristic
110#19151474C2211yescharacteristic
111#19151474C2211yescharacteristic
112#19151474C2211yescharacteristic
113#19151474C2211yescharacteristic
114#19151474C2211yescharacteristic
115#19151474C2211yescharacteristic
116#19151474C2211yescharacteristic
117#19151474C2211yescharacteristic
118#19151474C2211yescharacteristic
119#19151474C2211yescharacteristic
120#19151473C2211yescharacteristic
121#19151473C2211yescharacteristic
122#19151472C2211yescharacteristic, complemented
123#19151472C2211yescharacteristic, complemented
124#19151472C2211yescharacteristic, complemented
125#19151472C2211yescharacteristic, complemented
126#19151472C2211yescharacteristic, complemented
127#19151472C2211yescharacteristic, complemented
128#19151472C2211yescharacteristic, complemented
129#19151472C2211yescharacteristic, complemented
130#19151471C2211yescharacteristic
131#19151471C2211yescharacteristic
132#19151470C2211yescharacteristic
133#19151470C2211yescharacteristic
134#19151469C2211yescharacteristic, complemented
135#19151469C2211yescharacteristic, complemented
136#19151469C2211yescharacteristic, complemented
137#19151469C2211yescharacteristic, complemented
138#19151469C2211yescharacteristic, complemented
139#19151469C2211yescharacteristic, complemented
140#19151469C2211yescharacteristic, complemented
141#19151469C2211yescharacteristic, complemented
142#19151466C2211yescharacteristic, complemented
143#19151465C2211yescharacteristic, complemented
144#19151465C2211yescharacteristic, complemented
145#19151465C2211yescharacteristic, complemented
146#19151459C2211yescharacteristic
147#19151459C2211yescharacteristic
148#19151459C2211yescharacteristic
149#19151459C2211yescharacteristic
150#19151458C2211yescharacteristic
151#19151457C2211yescharacteristic, complemented
152#19151457C2211yescharacteristic, complemented
153#19151456C2211yescharacteristic
154#19151456C2211yescharacteristic
155#19151455C2211yescharacteristic, complemented
156#19151455C2211yescharacteristic, complemented
157#19151454C2211yescharacteristic
158#19151454C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic
160C22⋊C4×Dic89C2211yescharacteristic
161C4×#13083551C2211yescharacteristic, complemented
162C4×#13083551C2211yescharacteristic, complemented
163C4×C22⋊Dic89C2211yescharacteristic
164#19151445C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic, complemented
166C2×#15667919C2211yescharacteristic
167C2×#15667919C2211yescharacteristic
168#95×D89C2211yescharacteristic, complemented
169#95×D89C2211yescharacteristic, complemented
170#95×D89C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172C2×#126×C89C2211yescharacteristic, complemented
173C22×C22⋊C4×C89C2211yescharacteristic
174#397×C89C2211yescharacteristic, complemented
175#397×C89C2211yescharacteristic, complemented
176#397×C89C2211yescharacteristic, complemented
177#396×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic, complemented
179#388×C89C2211yescharacteristic, complemented
180#388×C89C2211yescharacteristic, complemented
181#385×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#380×C89C2211yescharacteristic
184#379×C89C2211yescharacteristic
185#379×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×C22⋊D89—24no—
189C22×C22⋊D89—24no—
190C22×C22⋊D89—24no—
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C22×C4×D89—24no—
199C22×C4×D89—42no—
200C22×C4×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
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213#15668005—42no—
214#15668005—42no—
215#15668005—42no—
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×C4⋊Dic89C2311yescharacteristic
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×C4⋊Dic89C2311yescharacteristic
222C2×#13083553C2311yescharacteristic
223C2×#13083553C2311yescharacteristic
224C2×#13083553C2311yescharacteristic
225C2×#13083553C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C4⋊C4×D89—42no—
235C4⋊C4×D89—42no—
236C2×C22⋊Dic89—42no—
237C2×C22⋊Dic89C2311yescharacteristic
238C2×C22⋊Dic89C2311yescharacteristic
239C2×C22⋊Dic89C2311yescharacteristic
240C2×C22⋊Dic89C2311yescharacteristic
241C2×C22⋊Dic89C2311yescharacteristic
242C2×C22⋊Dic89C2311yescharacteristic
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×#13083551—24no—
254C2×#13083551C2311yescharacteristic
255C2×#13083551C2311yescharacteristic
256C2×#13083551C2311yescharacteristic
257C2×#13083551C2311yescharacteristic
258C2×#13083551C2311yescharacteristic
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C22⋊C4×D89—24no—
267C22⋊C4×D89—24no—
268C22⋊C4×D89—24no—
269C22⋊C4×D89—24no—
270C2×C4×Dic89C2311yescharacteristic
271C2×C4×Dic89C2311yescharacteristic
272C2×C4×Dic89C2311yescharacteristic
273C2×C4×Dic89C2311yescharacteristic
274C2×C4×Dic89C2311yescharacteristic
275C2×C4×Dic89C2311yescharacteristic
276C42×D89—42no—
277C42×D89—42no—
278#15667919C2311yescharacteristic
279#15667919C2311yescharacteristic
280#15667919C2311yescharacteristic
281#15667919C2311yescharacteristic
282#15667919C2311yescharacteristic
283#15667919C2311yescharacteristic
284#15667919C2311yescharacteristic
285#15667919C2311yescharacteristic
286#15667919C2311yescharacteristic
287#15667919C2311yescharacteristic
288#15667919C2311yescharacteristic
289#15667919C2311yescharacteristic
290#15667919C2311yescharacteristic
291#15667919C2311yescharacteristic
292#15667919C2311yescharacteristic
293#15667919C2311yescharacteristic
294#15667919C2311yescharacteristic
295#15667919C2311yescharacteristic
296#15667919C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
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
326C25×C89C2311yescharacteristic
327C23×C4×C89C2311yescharacteristic
328C23×C4×C89C2311yescharacteristic
329#126×C89—42no—
330C2×C4⋊C4×C89C2311yescharacteristic
331C2×C4⋊C4×C89C2311yescharacteristic
332C2×C4⋊C4×C89C2311yescharacteristic
333C2×C4⋊C4×C89C2311yescharacteristic
334C2×C4⋊C4×C89C2311yescharacteristic
335C2×C4⋊C4×C89C2311yescharacteristic
336C2×C22⋊C4×C89—42no—
337C2×C22⋊C4×C89C2311yescharacteristic
338C2×C22⋊C4×C89C2311yescharacteristic
339C2×C22⋊C4×C89C2311yescharacteristic
340C2×C22⋊C4×C89C2311yescharacteristic
341C2×C22⋊C4×C89C2311yescharacteristic
342C2×C22⋊C4×C89C2311yescharacteristic
343C2×C22⋊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×C42×C89C2311yescharacteristic
354C2×C42×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
363C23×D89—41no—
364C23×D89—41no—
365C23×D89—41no—
366C23×D89—41no—
367C23×D89#4114yes—
368C23×D89#4114yes—
369C23×D89#4114yes—
370C23×D89C2411yescharacteristic
371C23×D89C2411yescharacteristic
372C2×C22⋊D89—22no—
373C2×C22⋊D89—22no—
374C2×C22⋊D89—22no—
375C2×C22⋊D89—22no—
376C2×C22⋊D89—22no—
377C2×C22⋊D89—22no—
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—416no—
385C22×Dic89—22no—
386C22×Dic89—22no—
387C22×Dic89—22no—
388C22×Dic89—22no—
389C22×Dic89—22no—
390C22×Dic89—22no—
391C22×Dic89—41no—
392C22×Dic89—41no—
393C22×Dic89—41no—
394C22×Dic89C2411yescharacteristic
395C22×Dic89C2411yescharacteristic
396C22×Dic89C2411yescharacteristic
397C22×Dic89C2411yescharacteristic
398C22×Dic89C2411yescharacteristic
399C22×Dic89C2411yescharacteristic
400C22×Dic89C2411yescharacteristic
401C22×Dic89C2411yescharacteristic
402C22×Dic89C2411yescharacteristic
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C2×C4×D89—22no—
409C2×C4×D89—22no—
410C2×C4×D89—22no—
411C2×C4×D89—22no—
412C2×C4×D89—22no—
413C2×C4×D89—22no—
414C2×C4×D89—22no—
415C2×C4×D89—22no—
416C2×C4×D89—22no—
417C2×C4×D89—22no—
418C2×C4×D89—22no—
419C2×C4×D89—22no—
420C2×C4×D89—22no—
421C2×C4×D89—22no—
422C2×C4×D89—22no—
423C2×C4×D89—22no—
424C2×C4×D89—416no—
425C2×C4×D89—41no—
426C2×C4×D89—41no—
427C2×C4×D89—41no—
428C2×C4×D89—41no—
429C2×C4×D89—41no—
430C2×C4×D89—41no—
431C2×C4×D89—41no—
432C2×C4×D89—41no—
433C2×C4×D89—41no—
434C2×C4×D89—41no—
435C2×C4×D89—41no—
436C2×C4×D89—41no—
437C2×C4×D89—41no—
438C2×C4×D89—41no—
439C2×C4×D89—41no—
440C2×C4×D89—41no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
445C4⋊Dic89—22no—
446C4⋊Dic89—41no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450C4⋊Dic89—41no—
451#13083553—22no—
452#13083553—22no—
453#13083553—41no—
454#13083553—41no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462#13083553—41no—
463C22⋊Dic89—22no—
464C22⋊Dic89—22no—
465C22⋊Dic89—22no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—41no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479#13083551—22no—
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—
491C4×Dic89—22no—
492C4×Dic89—22no—
493C4×Dic89—22no—
494C4×Dic89—41no—
495C4×Dic89—41no—
496C4×Dic89—41no—
497C24×C89—22no—
498C24×C89—22no—
499C24×C89—22no—
500C24×C89—41no—
501C24×C89—41no—
502C24×C89—41no—
503C24×C89—41no—
504C24×C89C2411yescharacteristic
505C24×C89C2411yescharacteristic
506C24×C89C2411yescharacteristic
507C22×C4×C89—22no—
508C22×C4×C89—22no—
509C22×C4×C89—22no—
510C22×C4×C89—41no—
511C22×C4×C89—41no—
512C22×C4×C89—41no—
513C22×C4×C89C2411yescharacteristic
514C22×C4×C89C2411yescharacteristic
515C22×C4×C89C2411yescharacteristic
516C22×C4×C89C2411yescharacteristic
517C22×C4×C89C2411yescharacteristic
518C22×C4×C89C2411yescharacteristic
519C22×C4×C89C2411yescharacteristic
520C22×C4×C89C2411yescharacteristic
521C22×C4×C89C2411yescharacteristic
522C22×C4×C89C2411yescharacteristic
523C22×C4×C89C2411yescharacteristic
524C22×C4×C89C2411yescharacteristic
525C4⋊C4×C89—22no—
526C4⋊C4×C89—41no—
527C4⋊C4×C89—41no—
528C4⋊C4×C89—41no—
529C4⋊C4×C89—41no—
530C4⋊C4×C89—41no—
531C22⋊C4×C89—22no—
532C22⋊C4×C89—22no—
533C22⋊C4×C89—22no—
534C22⋊C4×C89—22no—
535C22⋊C4×C89—22no—
536C22⋊C4×C89—22no—
537C22⋊C4×C89—41no—
538C22⋊C4×C89—41no—
539C22⋊C4×C89—41no—
540C22⋊C4×C89—41no—
541C22⋊C4×C89—41no—
542C22⋊C4×C89—41no—
543C22⋊C4×C89—41no—
544C22⋊C4×C89—41no—
545C22⋊C4×C89—41no—
546C22⋊C4×C89—41no—
547C42×C89—22no—
548C42×C89—41no—
549C23×C89—21no—
550C23×C89—21no—
551C23×C89—21no—
552C23×C89—21no—
553C23×C89—21no—
554C23×C89—21no—
555C23×C89—21no—
556C23×C89—21no—
557C23×C89—21no—
558C23×C89—21no—
559C23×C89—21no—
560C23×C89—21no—
561C23×C89—21no—
562C23×C89—21no—
563C23×C89—21no—
564C23×C89—21no—
565C23×C89—21no—
566C23×C89—21no—
567C23×C89—44no—
568C23×C89—44no—
569C23×C89—44no—
570C23×C89—82no—
571C23×C89—82no—
572C23×C89—82no—
573C23×C89—82no—
574C23×C89C2×#4112yes—
575C23×C89C2×#4112yes—
576C23×C89C2×#4112yes—
577C23×C89C2511yescharacteristic
578C22×D89—21no—
579C22×D89—21no—
580C22×D89—21no—
581C22×D89—21no—
582C22×D89—21no—
583C22×D89—21no—
584C22×D89—21no—
585C22×D89—21no—
586C22×D89—44no—
587C22×D89—44no—
588C22×D89—44no—
589C22×D89—44no—
590C22×D89—44no—
591C22×D89—44no—
592C22×D89#126116yescomplemented
593C22×D89C2×#4112yes—
594C22×D89C2×#4112yes—
595C22×D89C2×#4112yes—
596C22×D89C2×#4112yes—
597C22×D89C2×#4112yes—
598C22×D89C2×#4112yes—
599C2×C4×C89—21no—
600C2×C4×C89—21no—
601C2×C4×C89—21no—
602C2×C4×C89—21no—
603C2×C4×C89—21no—
604C2×C4×C89—21no—
605C2×C4×C89—21no—
606C2×C4×C89—21no—
607C2×C4×C89—21no—
608C2×C4×C89—21no—
609C2×C4×C89—21no—
610C2×C4×C89—21no—
611C2×C4×C89—21no—
612C2×C4×C89—21no—
613C2×C4×C89—21no—
614C2×C4×C89—21no—
615C2×C4×C89—21no—
616C2×C4×C89—21no—
617C2×C4×C89—21no—
618C2×C4×C89—21no—
619C2×C4×C89—21no—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
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—44no—
635C2×C4×C89—82no—
636C2×C4×C89H(5,𝔽2)12yes—
637C22⋊D89—44no—
638C22⋊D89—44no—
639C22⋊D89—44no—
640C22⋊D89—44no—
641C2×Dic89—21no—
642C2×Dic89—21no—
643C2×Dic89—21no—
644C2×Dic89—21no—
645C2×Dic89—21no—
646C2×Dic89—21no—
647C2×Dic89—21no—
648C2×Dic89—21no—
649C2×Dic89—21no—
650C2×Dic89—21no—
651C2×Dic89—21no—
652C2×Dic89—21no—
653C2×Dic89—21no—
654C2×Dic89—21no—
655C2×Dic89—21no—
656C2×Dic89—21no—
657C2×Dic89—21no—
658C2×Dic89—21no—
659C2×Dic89—21no—
660C2×Dic89—21no—
661C2×Dic89—21no—
662C2×Dic89—21no—
663C2×Dic89—21no—
664C2×Dic89—21no—
665C2×Dic89—21no—
666C2×Dic89—21no—
667C2×Dic89—21no—
668C2×Dic89—21no—
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—44no—
683C2×Dic89—44no—
684C2×Dic89—82no—
685C2×Dic89H(5,𝔽2)12yes—
686C4×D89—28no—
687C4×D89—44no—
688C4×D89—44no—
689C4×D89—44no—
690C4×D89—44no—
691C4×D89—44no—
692C4×D89—44no—
693C4×D89—44no—
694C4×D89—44no—
695C4×D89—44no—
696C4×D89—82no—
697C4×D89—82no—
698C22×C89—22no—
699C22×C89—22no—
700C22×C89—22no—
701C22×C89—22no—
702C22×C89—22no—
703C22×C89—22no—
704C22×C89—41no—
705C22×C89—41no—
706C22×C89—41no—
707C22×C89—41no—
708C22×C89—41no—
709C22×C89—41no—
710C22×C89—41no—
711C22×C89—41no—
712C22×C89—41no—
713C22×C89—41no—
714C22×C89—41no—
715C22×C89—41no—
716C22×C89—41no—
717C22×C89—41no—
718C22×C89—88no—
719C22×C89C2×#12614yes—
720C22×C89C22×#4111yescharacteristic
721C22×C89C22×#4111yescharacteristic
722C22×C89C22×#4111yescharacteristic
723C22×C89C2×H(5,𝔽2)11yescharacteristic
724C22×C89C2×H(5,𝔽2)11yescharacteristic
725C22×C89#58511yescharacteristic
726C22×C89#58511yescharacteristic
727C2×D89—22no—
728C2×D89—22no—
729C2×D89—22no—
730C2×D89—22no—
731C2×D89—22no—
732C2×D89—22no—
733C2×D89—22no—
734C2×D89—22no—
735C2×D89—22no—
736C2×D89—22no—
737C2×D89—22no—
738C2×D89—22no—
739C2×D89—416no—
740C2×D89C2×#12614yes—
741C2×D89C2×#12614yes—
742C4×C89—22no—
743C4×C89—41no—
744C4×C89—41no—
745C4×C89—41no—
746C4×C89—41no—
747C4×C89—41no—
748C4×C89—41no—
749C4×C89—41no—
750C4×C89—41no—
751C4×C89—41no—
752C4×C89—41no—
753C4×C89—41no—
754Dic89—22no—
755Dic89—41no—
756Dic89—41no—
757Dic89—41no—
758Dic89—41no—
759Dic89—41no—
760Dic89—41no—
761Dic89—41no—
762Dic89—41no—
763Dic89—41no—
764Dic89—41no—
765Dic89—41no—
766Dic89—41no—
767Dic89—41no—
768#34995—891nomaximal, Sylow
769C2×C89—24no—
770C2×C89—81no—
771C2×C89—81no—
772C2×C89C22×#12611yescharacteristic
773C2×C89#345911yescharacteristic
774C2×C89#345911yescharacteristic
775C2×C89#349011yescharacteristic
776C2×C89#349111yescharacteristic
777C2×C89#350511yescharacteristic
778C2×C89#350511yescharacteristic
779D89—24no—
780D89—24no—
781#2852—891no—
782#2852—891no—
783#2852—891no—
784#2852—891no—
785#2643—891no—
786#2643—891no—
787#2643—891no—
788#2643—891no—
789#2510—891no—
790#2510—891no—
791#2510—891no—
792#2510—891no—
793#2493—891no—
794#2493—891no—
795#2493—891no—
796#2493—891no—
797#2481—891no—
798#2481—891no—
799#2481—891no—
800#2481—891no—
801#2480—891no—
802#2480—891no—
803#2480—891no—
804#2480D8911yescharacteristic, complemented
805#2315—891no—
806#2315—891no—
807#2308—891no—
808#2308—891no—
809C2×#386—891no—
810C2×#385—891no—
811C2×C4×C22⋊C4—891no—
812C89#3499511yescharacteristic, complemented, Sylow
813C23×D4—891no—
814C24×C4—891no—
815C2×#126—891no—
816C2×#126—891no—
817C2×#126—891no—
818C2×#126C2×D8911yescharacteristic, complemented
819C22×C4⋊C4—891no—
820C22×C4⋊C4—891no—
821C22×C22⋊C4—891no—
822C22×C22⋊C4—891no—
823C22×C22⋊C4—891no—
824C22×C22⋊C4—891no—
825C22×C22⋊C4—891no—
826C22×C22⋊C4—891no—
827C22×C22⋊C4C2×D8911yescharacteristic
828C22×C42—891no—
829C22×C42—891no—
830#401—891no—
831#401—891no—
832#401—891no—
833#401—891no—
834#400—891no—
835#400—891no—
836#400—891no—
837#400—891no—
838#400—891no—
839#400—891no—
840#400—891no—
841#400—891no—
842#400—891no—
843#400—891no—
844#400—891no—
845#400—891no—
846#397—891no—
847#397—891no—
848#397—891no—
849#397—891no—
850#397—891no—
851#397—891no—
852#397—891no—
853#397—891no—
854#397—891no—
855#397C2×D8911yescharacteristic, complemented
856#397C2×D8911yescharacteristic, complemented
857#397C2×D8911yescharacteristic, complemented
858#396—891no—
859#396—891no—
860#396—891no—
861#396C2×D8911yescharacteristic, complemented
862#388—891no—
863#388—891no—
864#388—891no—
865#388—891no—
866#388—891no—
867#388—891no—
868#388—891no—
869#388—891no—
870#388—891no—
871#388C2×D8911yescharacteristic, complemented
872#388C2×D8911yescharacteristic, complemented
873#388C2×D8911yescharacteristic, complemented
874#387—891no—
875#387—891no—
876#387—891no—
877#387—891no—
878#387—891no—
879#387—891no—
880#387—891no—
881#387—891no—
882#387—891no—
883#387—891no—
884#387—891no—
885#387—891no—
886#386—891no—
887#386—891no—
888#386—891no—
889#386—891no—
890#386—891no—
891#386—891no—
892#386—891no—
893#386—891no—
894#386—891no—
895#386—891no—
896#386—891no—
897#386—891no—
898#386—891no—
899#386—891no—
900#386—891no—
901#386—891no—
902#386—891no—
903#386—891no—
904#386—891no—
905#386—891no—
906#386—891no—
907#386—891no—
908#386—891no—
909#386—891no—
910#385—891no—
911#385—891no—
912#385—891no—
913#385—891no—
914#385—891no—
915#385—891no—
916#385—891no—
917#385—891no—
918#385—891no—
919#385—891no—
920#385—891no—
921#385—891no—
922#385—891no—
923#385—891no—
924#385—891no—
925#385—891no—
926#385—891no—
927#385—891no—
928#385—891no—
929#385—891no—
930#385—891no—
931#385—891no—
932#385C2×D8911yescharacteristic
933#385C2×D8911yescharacteristic
934#383—891no—
935#383—891no—
936#383—891no—
937#383—891no—
938#381—891no—
939#381—891no—
940#381—891no—
941#381—891no—
942#380—891no—
943#380—891no—
944#380—891no—
945#380—891no—
946#380—891no—
947#380—891no—
948#380—891no—
949#380C2×D8911yescharacteristic
950#379—891no—
951#379—891no—
952#379C2×D8911yescharacteristic
953#379C2×D8911yescharacteristic
954C4×C22⋊C4—891no—
955C4×C22⋊C4—891no—
956C4×C22⋊C4—891no—
957C4×C22⋊C4—891no—
958C4×C22⋊C4—891no—
959C4×C22⋊C4—891no—
960C4×C22⋊C4—891no—
961C4×C22⋊C4C2×D8911yescharacteristic
962C2×#95—891no—
963C2×#95—891no—
964C2×#95—891no—
965C2×#95—891no—
966C2×#95—891no—
967C2×#95—891no—
968C25—891no—
969C25C22×D8911yescharacteristic
970C22×D4—891no—
971C22×D4—891no—
972C22×D4—891no—
973C22×D4—891no—
974C22×D4—1784no—
975C22×D4—1784no—
976C22×D4—1784no—
977C23×C4—891no—
978C23×C4—891no—
979C23×C4—891no—
980C23×C4—891no—
981C23×C4—891no—
982C23×C4—891no—
983C23×C4—891no—
984C23×C4—891no—
985C23×C4—891no—
986C23×C4—891no—
987C23×C4—891no—
988C23×C4—891no—
989C23×C4—891no—
990C23×C4—891no—
991C23×C4—891no—
992C23×C4—3562no—
993C23×C4—3562no—
994C23×C4—1784no—
995C23×C4C22×D8911yescharacteristic
996C23×C4C22×D8911yescharacteristic
997#126—42no—
998#126—3562no—
999#126—3562no—
1000#126—3562no—
1001C2×C4⋊C4—891no—
1002C2×C4⋊C4—891no—
1003C2×C4⋊C4—891no—
1004C2×C4⋊C4—891no—
1005C2×C4⋊C4—891no—
1006C2×C4⋊C4—891no—
1007C2×C4⋊C4—891no—
1008C2×C4⋊C4—891no—
1009C2×C4⋊C4—891no—
1010C2×C4⋊C4—891no—
1011C2×C4⋊C4—891no—
1012C2×C4⋊C4—891no—
1013C2×C4⋊C4—891no—
1014C2×C4⋊C4—891no—
1015C2×C4⋊C4—891no—
1016C2×C4⋊C4—891no—
1017C2×C4⋊C4—891no—
1018C2×C4⋊C4—891no—
1019C2×C4⋊C4—3562no—
1020C2×C4⋊C4—3562no—
1021C2×C4⋊C4C22×D8911yescharacteristic
1022C2×C4⋊C4C22×D8911yescharacteristic
1023C2×C4⋊C4C22×D8911yescharacteristic
1024C2×C4⋊C4C22×D8911yescharacteristic
1025C2×C4⋊C4C22×D8911yescharacteristic
1026C2×C4⋊C4C22×D8911yescharacteristic
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4—891no—
1029C2×C22⋊C4—891no—
1030C2×C22⋊C4—891no—
1031C2×C22⋊C4—891no—
1032C2×C22⋊C4—891no—
1033C2×C22⋊C4—891no—
1034C2×C22⋊C4—891no—
1035C2×C22⋊C4—891no—
1036C2×C22⋊C4—891no—
1037C2×C22⋊C4—891no—
1038C2×C22⋊C4—891no—
1039C2×C22⋊C4—891no—
1040C2×C22⋊C4—891no—
1041C2×C22⋊C4—891no—
1042C2×C22⋊C4—891no—
1043C2×C22⋊C4—891no—
1044C2×C22⋊C4—891no—
1045C2×C22⋊C4—891no—
1046C2×C22⋊C4—891no—
1047C2×C22⋊C4—891no—
1048C2×C22⋊C4—891no—
1049C2×C22⋊C4—891no—
1050C2×C22⋊C4—891no—
1051C2×C22⋊C4—891no—
1052C2×C22⋊C4—891no—
1053C2×C22⋊C4—891no—
1054C2×C22⋊C4—891no—
1055C2×C22⋊C4—891no—
1056C2×C22⋊C4—3562no—
1057C2×C22⋊C4—1784no—
1058C2×C22⋊C4—1784no—
1059C2×C22⋊C4—1784no—
1060C2×C22⋊C4—1784no—
1061C2×C22⋊C4—1784no—
1062C2×C22⋊C4C22×D8911yescharacteristic
1063C2×C22⋊C4C22×D8911yescharacteristic
1064C2×C22⋊C4C22×D8911yescharacteristic
1065C2×C22⋊C4C22×D8911yescharacteristic
1066C2×C22⋊C4C22×D8911yescharacteristic
1067C2×C22⋊C4C22×D8911yescharacteristic
1068C2×C22⋊C4C22×D8911yescharacteristic
1069C2×C22⋊C4C22×D8911yescharacteristic
1070C2×C22⋊C4C22×D8911yescharacteristic
1071C2×C22⋊C4C22×D8911yescharacteristic
1072C2×C22⋊C4C22×D8911yescharacteristic
1073C2×C22⋊C4C22×D8911yescharacteristic
1074C2×C22⋊C4C22×D8911yescharacteristic
1075C2×C22⋊C4C22×D8911yescharacteristic
1076C2×C22⋊C4C22×D8911yescharacteristic
1077C2×C22⋊C4C22×D8911yescharacteristic
1078C2×C42—891no—
1079C2×C42—891no—
1080C2×C42—891no—
1081C2×C42—891no—
1082C2×C42—891no—
1083C2×C42—891no—
1084C2×C42—3562no—
1085C2×C42—3562no—
1086C2×C42C22×D8911yescharacteristic
1087C2×C42C22×D8911yescharacteristic
1088#95—891no—
1089#95—891no—
1090#95—891no—
1091#95—891no—
1092#95—891no—
1093#95—891no—
1094#95—891no—
1095#95—891no—
1096#95—891no—
1097#95—891no—
1098#95—891no—
1099#95—891no—
1100#95—891no—
1101#95—891no—
1102#95—891no—
1103#95—891no—
1104#95—891no—
1105#95—891no—
1106#95—891no—
1107#95—891no—
1108#95—891no—
1109#95—891no—
1110#95—891no—
1111#95—891no—
1112#95—891no—
1113#95—891no—
1114#95—891no—
1115#95—891no—
1116#95—891no—
1117#95—891no—
1118#95—891no—
1119#95—891no—
1120#95—891no—
1121#95—891no—
1122#95—891no—
1123#95—891no—
1124#95—891no—
1125#95—891no—
1126#95—891no—
1127#95—891no—
1128#95—891no—
1129#95—891no—
1130#95—891no—
1131#95—891no—
1132#95—891no—
1133#95—891no—
1134#95—891no—
1135#95—891no—
1136#95C22×D8911yescharacteristic
1137#95C22×D8911yescharacteristic
1138#95C22×D8911yescharacteristic
1139#95C22×D8911yescharacteristic
1140#95C22×D8911yescharacteristic
1141#95C22×D8911yescharacteristic
1142#95C22×D8911yescharacteristic
1143#95C22×D8911yescharacteristic
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—41no—
1151C24—894no—
1152C24—894no—
1153C24—894no—
1154C24—891no—
1155C24—891no—
1156C24—3561no—
1157C24—3561no—
1158C24—3561no—
1159C24—3561no—
1160C24C23×D8911yescharacteristic
1161C24C23×D8911yescharacteristic
1162C24C23×D8911yescharacteristic
1163C2×D4—35616no—
1164C2×D4—1782no—
1165C2×D4—1782no—
1166C2×D4—1782no—
1167C2×D4—1782no—
1168C2×D4—1782no—
1169C2×D4—1782no—
1170C2×D4—1782no—
1171C2×D4—1782no—
1172C2×D4—1782no—
1173C2×D4—1782no—
1174C2×D4—1782no—
1175C2×D4—1782no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—891no—
1183C22×C4—891no—
1184C22×C4—891no—
1185C22×C4—891no—
1186C22×C4—891no—
1187C22×C4—891no—
1188C22×C4—891no—
1189C22×C4—891no—
1190C22×C4—891no—
1191C22×C4—891no—
1192C22×C4—891no—
1193C22×C4—891no—
1194C22×C4—891no—
1195C22×C4—891no—
1196C22×C4—3561no—
1197C22×C4—3561no—
1198C22×C4—3561no—
1199C22×C4—3561no—
1200C22×C4—3561no—
1201C22×C4—3561no—
1202C22×C4—3561no—
1203C22×C4—3561no—
1204C22×C4—3561no—
1205C22×C4—3561no—
1206C22×C4—3561no—
1207C22×C4—3561no—
1208C22×C4—3561no—
1209C22×C4—3561no—
1210C22×C4—3561no—
1211C22×C4—3561no—
1212C22×C4—3561no—
1213C22×C4—3561no—
1214C22×C4—3561no—
1215C22×C4—3561no—
1216C22×C4—35616no—
1217C22×C4—3561no—
1218C22×C4—3561no—
1219C22×C4—3561no—
1220C22×C4—1782no—
1221C22×C4—1782no—
1222C22×C4—1782no—
1223C22×C4—1782no—
1224C22×C4—1782no—
1225C22×C4—1782no—
1226C22×C4—1782no—
1227C22×C4—1782no—
1228C22×C4—1782no—
1229C22×C4—1782no—
1230C22×C4—1782no—
1231C22×C4—1782no—
1232C22×C4—1782no—
1233C22×C4—1782no—
1234C22×C4—1782no—
1235C22×C4—1782no—
1236C22×C4—1782no—
1237C22×C4—1782no—
1238C22×C4—1782no—
1239C22×C4—1782no—
1240C22×C4—1782no—
1241C22×C4—1782no—
1242C22×C4C23×D8911yescharacteristic
1243C22×C4C23×D8911yescharacteristic
1244C22×C4C23×D8911yescharacteristic
1245C22×C4C23×D8911yescharacteristic
1246C22×C4C23×D8911yescharacteristic
1247C22×C4C23×D8911yescharacteristic
1248C22×C4C23×D8911yescharacteristic
1249C22×C4C23×D8911yescharacteristic
1250C22×C4C23×D8911yescharacteristic
1251C22×C4C23×D8911yescharacteristic
1252C22×C4C23×D8911yescharacteristic
1253C22×C4C23×D8911yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—3561no—
1261C4⋊C4—3561no—
1262C4⋊C4—3561no—
1263C4⋊C4—3561no—
1264C4⋊C4—3561no—
1265C4⋊C4—3561no—
1266C4⋊C4—3561no—
1267C4⋊C4—3561no—
1268C4⋊C4—3561no—
1269C4⋊C4—3561no—
1270C4⋊C4—3561no—
1271C4⋊C4—3561no—
1272C4⋊C4—3561no—
1273C4⋊C4—3561no—
1274C4⋊C4—3561no—
1275C4⋊C4—1782no—
1276C4⋊C4—1782no—
1277C4⋊C4—1782no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—3561no—
1295C22⋊C4—3561no—
1296C22⋊C4—3561no—
1297C22⋊C4—3561no—
1298C22⋊C4—3561no—
1299C22⋊C4—3561no—
1300C22⋊C4—3561no—
1301C22⋊C4—3561no—
1302C22⋊C4—3561no—
1303C22⋊C4—3561no—
1304C22⋊C4—1782no—
1305C22⋊C4—1782no—
1306C22⋊C4—1782no—
1307C22⋊C4—1782no—
1308C22⋊C4—1782no—
1309C22⋊C4—1782no—
1310C22⋊C4—1782no—
1311C22⋊C4—1782no—
1312C22⋊C4—1782no—
1313C22⋊C4—1782no—
1314C22⋊C4—1782no—
1315C22⋊C4—1782no—
1316C22⋊C4—1782no—
1317C22⋊C4—1782no—
1318C22⋊C4—1782no—
1319C22⋊C4—1782no—
1320C22⋊C4—1782no—
1321C22⋊C4—1782no—
1322C42—22no—
1323C42—41no—
1324C42—3561no—
1325C42—3561no—
1326C42—3561no—
1327C42—1782no—
1328C42—1782no—
1329C42—1782no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23—8916no—
1356C23—892no—
1357C23—892no—
1358C23—892no—
1359C23—892no—
1360C23—892no—
1361C23—892no—
1362C23—3564no—
1363C23—3564no—
1364C23—3564no—
1365C23—3564no—
1366C23—3564no—
1367C23—3564no—
1368C23—1781no—
1369C23—1781no—
1370C23—1781no—
1371C23—1781no—
1372C23—1781no—
1373C23—1781no—
1374C23—1781no—
1375C23—1781no—
1376C23#41×D8912yes—
1377C23#41×D8912yes—
1378C23#41×D8912yes—
1379C23C24×D8911yescharacteristic
1380D4—3564no—
1381D4—3564no—
1382D4—3564no—
1383D4—3564no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—82no—
1421C2×C4—892no—
1422C2×C4—3564no—
1423C2×C4—3564no—
1424C2×C4—3564no—
1425C2×C4—3564no—
1426C2×C4—3564no—
1427C2×C4—3564no—
1428C2×C4—3564no—
1429C2×C4—3564no—
1430C2×C4—3564no—
1431C2×C4—3564no—
1432C2×C4—3564no—
1433C2×C4—1788no—
1434C2×C4—1781no—
1435C2×C4—1781no—
1436C2×C4—1781no—
1437C2×C4—1781no—
1438C2×C4—1781no—
1439C2×C4—1781no—
1440C2×C4—1781no—
1441C2×C4—1781no—
1442C2×C4—1781no—
1443C2×C4—1781no—
1444C2×C4—1781no—
1445C2×C4—1781no—
1446C2×C4—1781no—
1447C2×C4—1781no—
1448C2×C4—1781no—
1449C2×C4—1781no—
1450C2×C4—1781no—
1451C2×C4—1781no—
1452C2×C4—1781no—
1453C2×C4—1781no—
1454C2×C4—1781no—
1455C2×C4—1781no—
1456C2×C4—1781no—
1457C2×C4—1781no—
1458C2×C4—1781no—
1459C2×C4—1781no—
1460C2×C4—1781no—
1461C2×C4—1781no—
1462C2×C4—1781no—
1463C2×C4—1781no—
1464C2×C4—1781no—
1465C2×C4—1781no—
1466C2×C4—1781no—
1467C2×C4—1781no—
1468C2×C4—1781no—
1469C2×C4—1781no—
1470C2×C4—1781no—
1471C2×C4—1781no—
1472C2×C4—1781no—
1473C2×C4—1781no—
1474C2×C4—1781no—
1475C2×C4—7122no—
1476C2×C4—7122no—
1477C2×C4—7122no—
1478C2×C4#1566805712yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—894no—
1501C22—894no—
1502C22—35616no—
1503C22—1782no—
1504C22—1782no—
1505C22—1782no—
1506C22—1782no—
1507C22—1782no—
1508C22—1782no—
1509C22—1782no—
1510C22—1782no—
1511C22—1782no—
1512C22—1782no—
1513C22—1782no—
1514C22—1782no—
1515C22#126×D8914yes—
1516C22C2×#41×D8911yescharacteristic
1517C22C2×#41×D8911yescharacteristic
1518C22C2×#41×D8911yescharacteristic
1519C22H(5,𝔽2)×D8911yescharacteristic
1520C22C2×#1566805711yescharacteristic
1521C22#1915243311yescharacteristic
1522C22#1915243411yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—3561no—
1536C4—3561no—
1537C4—3561no—
1538C4—3561no—
1539C4—3561no—
1540C4—3561no—
1541C4—3561no—
1542C4—3561no—
1543C4—3561no—
1544C4—3561no—
1545C4—3561no—
1546C4—3561no—
1547C4—3561no—
1548C4—1782no—
1549C2—24no—
1550C2—81no—
1551C2—81no—
1552C2—1784no—
1553C2—1784no—
1554C2C2×#126×D8911yescharacteristic
1555C2#2603365911yescharacteristic
1556C2#2603366311yescharacteristic
1557C2#2603393411yescharacteristic
1558C2#2603394311yescharacteristic
1559C2#2603407911yescharacteristic
1560C2#2603408311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2480C2
prime radicalC23×C22⋊D89C22
hypercenter#2480D89
hypocenterC89#34995
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #26028566C2semidirect
2. #26028566C2semidirect
3. #26028566C2semidirect
4. #26028564C2semidirect
5. #26026209C2semidirect
6. #26026204C2semidirect
7. #26026204C2semidirect
8. #26026204C2semidirect
9. #26024817C2semidirect
10. #26024815C2semidirect
11. #26024811C2semidirect
12. #26024805C2semidirect
13. #26024643C2semidirect
14. #26024639C2semidirect
15. #26024635C2semidirect
16. #26024631C2semidirect
17. #26024519C2semidirect
18. #26024514C2semidirect
19. #26024509C2semidirect
20. #26024508C2semidirect
21. #26024497C2semidirect
22. #26024495C2semidirect
23. #26024492C2semidirect
24. #26022865C2semidirect
25. #26022863C2semidirect
29. #385×D89C2semidirect
30. C4×C22⋊C4×D89C2semidirect
31. C89×#2480C2semidirect
34. C2×#15668005C22semidirect
35. C2×#15668005C22semidirect
36. C2×#15668005C22semidirect
37. C2×C4⋊C4×D89C22semidirect
38. C2×C4⋊C4×D89C22semidirect
45. C2×C42×D89C22semidirect
46. C2×C42×D89C22semidirect
47. C89⋊#401C22semidirect
48. C89⋊#401C22semidirect
49. C89⋊#401C22semidirect
50. C89⋊#401C22semidirect
51. #19151540C22semidirect
52. #19151540C22semidirect
53. #19151540C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151539C22semidirect
57. #19151537C22semidirect
58. #19151537C22semidirect
59. #19151537C22semidirect
60. #19151536C22semidirect
61. #19151536C22semidirect
62. #19151536C22semidirect
63. #19151526C22semidirect
64. #19151526C22semidirect
65. #19151526C22semidirect
66. #19151526C22semidirect
67. #19151526C22semidirect
68. #19151526C22semidirect
69. #19151523C22semidirect
70. #19151523C22semidirect
71. #19151523C22semidirect
72. #19151521C22semidirect
73. #19151521C22semidirect
74. #19151521C22semidirect
75. #19151492C22semidirect
76. #19151492C22semidirect
77. #19151492C22semidirect
78. #19151491C22semidirect
79. #19151491C22semidirect
80. #19151491C22semidirect
81. #19151486C22semidirect
82. #19151486C22semidirect
83. #19151486C22semidirect
84. #19151484C22semidirect
85. #19151484C22semidirect
86. #19151484C22semidirect
87. #19151482C22semidirect
88. #19151482C22semidirect
89. #19151482C22semidirect
90. #19151481C22semidirect
91. #19151481C22semidirect
92. #19151481C22semidirect
93. #19151479C22semidirect
94. #19151479C22semidirect
95. #19151479C22semidirect
122. #19151472C22semidirect
123. #19151472C22semidirect
124. #19151472C22semidirect
125. #19151472C22semidirect
126. #19151472C22semidirect
127. #19151472C22semidirect
128. #19151472C22semidirect
129. #19151472C22semidirect
134. #19151469C22semidirect
135. #19151469C22semidirect
136. #19151469C22semidirect
137. #19151469C22semidirect
138. #19151469C22semidirect
139. #19151469C22semidirect
140. #19151469C22semidirect
141. #19151469C22semidirect
142. #19151466C22semidirect
143. #19151465C22semidirect
144. #19151465C22semidirect
145. #19151465C22semidirect
151. #19151457C22semidirect
152. #19151457C22semidirect
155. #19151455C22semidirect
156. #19151455C22semidirect
161. C4×#13083551C22semidirect
162. C4×#13083551C22semidirect
164. #19151445C22semidirect
165. #19151445C22semidirect
168. #95×D89C22semidirect
169. #95×D89C22semidirect
170. #95×D89C22semidirect
171. #95×D89C22semidirect
172. C2×#126×C89C22semidirect
174. #397×C89C22semidirect
175. #397×C89C22semidirect
176. #397×C89C22semidirect
177. #396×C89C22semidirect
178. #388×C89C22semidirect
179. #388×C89C22semidirect
180. #388×C89C22semidirect
592. C22×D89#126semidirect
804. #2480D89semidirect
812. C89#34995semidirect
818. C2×#126C2×D89semidirect
855. #397C2×D89semidirect
856. #397C2×D89semidirect
857. #397C2×D89semidirect
861. #396C2×D89semidirect
871. #388C2×D89semidirect
872. #388C2×D89semidirect
873. #388C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285662
#260285642
#260262092
#260262042
#260248172
#260248152
#260248112
#260248052
#260246432
#260246392
#260246352
#260246312
#260245192
#260245142
#260245092
#260245082
#260244972
#260244952
#260244922
#260228652
#260228632
#260228282
C2×#191514742
#385×D892
C4×C22⋊C4×D892
C89×#24802
#3499589