Finite Group Databasebeta

← #36763714

Subgroups — #36763714

Order 22784.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028565C211yesmaximal, characteristic, complemented
2#26028558C211yesmaximal, characteristic, complemented
3#26028094C211yesmaximal, characteristic, complemented
4#26027968C211yesmaximal, characteristic, complemented
5#26027583C211yesmaximal, characteristic, complemented
6#26027354C211yesmaximal, characteristic, complemented
7#26027309C211yesmaximal, characteristic, complemented
8#26027174C211yesmaximal, characteristic, complemented
9#26027003C211yesmaximal, characteristic, complemented
10#26027003C211yesmaximal, characteristic, complemented
11#26026962C211yesmaximal, characteristic, complemented
12#26026947C211yesmaximal, characteristic, complemented
13#26026932C211yesmaximal, characteristic, complemented
14#26026932C211yesmaximal, characteristic, complemented
15#26026801C211yesmaximal, characteristic, complemented
16#26026771C211yesmaximal, characteristic, complemented
17#26026729C211yesmaximal, characteristic, complemented
18#26026598C211yesmaximal, characteristic, complemented
19#26026061C211yesmaximal, characteristic, complemented
20#26026027C211yesmaximal, characteristic, complemented
21#26024495C211yesmaximal, characteristic, complemented
22#26024390C211yesmaximal, characteristic, complemented
23#26024067C211yesmaximal, characteristic, complemented
24#26023913C211yesmaximal, characteristic, complemented
25#26023710C211yesmaximal, characteristic, complemented
26#26023649C211yesmaximal, characteristic, complemented
27#26023575C211yesmaximal, characteristic, complemented
28#26022913C211yesmaximal, characteristic, complemented
29#26022864C211yesmaximal, characteristic, complemented
30C2×#19151501C211yesmaximal, characteristic, complemented
31C89×#2410C211yesmaximal, characteristic
32C2×#15668005C2211yescharacteristic, complemented
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15668002C2211yescharacteristic, complemented
35C2×#15668002C2211yescharacteristic, complemented
36C2×#15667993C2211yescharacteristic
37C2×#15667993C2211yescharacteristic
38C2×#15667993C2211yescharacteristic, complemented
39C2×#15667993C2211yescharacteristic, complemented
40C2×#15667991C2211yescharacteristic, complemented
41C2×#15667989C2211yescharacteristic
42C2×#15667989C2211yescharacteristic, complemented
43C2×D4×Dic89C2211yescharacteristic
44C22×C4⋊Dic89C2211yescharacteristic
45C22×C22⋊Dic89C2211yescharacteristic
46C22×C22⋊Dic89C2211yescharacteristic
47C22×C22⋊Dic89C2211yescharacteristic
48C22×C22⋊Dic89C2211yescharacteristic
49C22×C22⋊Dic89C2211yescharacteristic
50C22×C4×Dic89C2211yescharacteristic
51#19151538C2211yescharacteristic, complemented
52#19151534C2211yescharacteristic, complemented
53#19151534C2211yescharacteristic, complemented
54#19151534C2211yescharacteristic, complemented
55#19151534C2211yescharacteristic, complemented
56#19151534C2211yescharacteristic, complemented
57#19151532C2211yescharacteristic, complemented
58#19151531C2211yescharacteristic, complemented
59#19151530C2211yescharacteristic, complemented
60#19151528C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, 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#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151521C2211yescharacteristic, complemented
75#19151521C2211yescharacteristic, complemented
76#19151521C2211yescharacteristic, complemented
77#19151521C2211yescharacteristic, complemented
78#19151521C2211yescharacteristic, complemented
79#19151519C2211yescharacteristic, complemented
80#19151512C2211yescharacteristic
81#19151512C2211yescharacteristic
82#19151512C2211yescharacteristic
83#19151512C2211yescharacteristic
84#19151512C2211yescharacteristic, complemented
85#19151512C2211yescharacteristic, complemented
86#19151512C2211yescharacteristic, complemented
87#19151512C2211yescharacteristic, complemented
88#19151512C2211yescharacteristic, complemented
89#19151512C2211yescharacteristic, complemented
90#19151512C2211yescharacteristic, complemented
91#19151512C2211yescharacteristic, complemented
92#19151510C2211yescharacteristic, complemented
93#19151510C2211yescharacteristic, complemented
94#19151510C2211yescharacteristic, complemented
95#19151501C2211yescharacteristic
96#19151501C2211yescharacteristic
97#19151501C2211yescharacteristic
98#19151501C2211yescharacteristic
99#19151501C2211yescharacteristic
100#19151501C2211yescharacteristic
101#19151501C2211yescharacteristic
102#19151501C2211yescharacteristic
103#19151501C2211yescharacteristic, complemented
104#19151501C2211yescharacteristic, complemented
105#19151495C2211yescharacteristic, complemented
106#19151495C2211yescharacteristic, complemented
107#19151495C2211yescharacteristic, complemented
108#19151493C2211yescharacteristic, complemented
109#19151492C2211yescharacteristic, complemented
110#19151492C2211yescharacteristic, complemented
111#19151491C2211yescharacteristic, complemented
112#19151491C2211yescharacteristic, complemented
113#19151491C2211yescharacteristic, complemented
114#19151491C2211yescharacteristic, complemented
115#19151491C2211yescharacteristic, complemented
116#19151491C2211yescharacteristic, complemented
117#19151486C2211yescharacteristic, complemented
118#19151486C2211yescharacteristic, complemented
119#19151486C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic, complemented
121#19151485C2211yescharacteristic, complemented
122#19151484C2211yescharacteristic, complemented
123#19151484C2211yescharacteristic, complemented
124#19151483C2211yescharacteristic, complemented
125#19151483C2211yescharacteristic, complemented
126#19151483C2211yescharacteristic, complemented
127#19151481C2211yescharacteristic, complemented
128#19151480C2211yescharacteristic, complemented
129#19151480C2211yescharacteristic, complemented
130#19151479C2211yescharacteristic, complemented
131#19151478C2211yescharacteristic
132#19151478C2211yescharacteristic
133#19151478C2211yescharacteristic
134#19151478C2211yescharacteristic
135#19151478C2211yescharacteristic
136#19151478C2211yescharacteristic, complemented
137#19151478C2211yescharacteristic, complemented
138#19151478C2211yescharacteristic, complemented
139#19151478C2211yescharacteristic, complemented
140#19151473C2211yescharacteristic
141#19151473C2211yescharacteristic
142#19151473C2211yescharacteristic, complemented
143#19151471C2211yescharacteristic
144#19151471C2211yescharacteristic
145#19151471C2211yescharacteristic, complemented
146#19151471C2211yescharacteristic, complemented
147#19151471C2211yescharacteristic, complemented
148#19151471C2211yescharacteristic, complemented
149#19151471C2211yescharacteristic, complemented
150#19151471C2211yescharacteristic, complemented
151#19151470C2211yescharacteristic
152#19151470C2211yescharacteristic
153#19151470C2211yescharacteristic
154#19151470C2211yescharacteristic
155#19151470C2211yescharacteristic
156#19151470C2211yescharacteristic, complemented
157#19151465C2211yescharacteristic, complemented
158#19151462C2211yescharacteristic, complemented
159#19151459C2211yescharacteristic, complemented
160#19151458C2211yescharacteristic, complemented
161#19151456C2211yescharacteristic
162#19151456C2211yescharacteristic
163#19151456C2211yescharacteristic
164#19151456C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic, complemented
167#19151456C2211yescharacteristic, complemented
168#19151454C2211yescharacteristic
169#19151454C2211yescharacteristic
170#19151454C2211yescharacteristic
171C22⋊C4×Dic89C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×#121×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176C2×#120×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C23×Dic89C2311yescharacteristic
189C23×Dic89C2311yescharacteristic
190C23×Dic89C2311yescharacteristic
191C23×Dic89C2311yescharacteristic
192C23×Dic89C2311yescharacteristic
193C23×Dic89C2311yescharacteristic
194C23×Dic89C2311yescharacteristic
195#15668005—42no—
196#15668005—42no—
197#15668002—42no—
198#15668002—42no—
199#15667993—42no—
200#15667993—42no—
201#15667993—42no—
202#15667993—42no—
203#15667991—42no—
204#15667989—42no—
205#15667989—42no—
206D4×Dic89—42no—
207C2×C4⋊Dic89—42no—
208C2×C4⋊Dic89C2311yescharacteristic
209C2×C4⋊Dic89C2311yescharacteristic
210C2×C4⋊Dic89C2311yescharacteristic
211C2×C4⋊Dic89C2311yescharacteristic
212C2×C4⋊Dic89C2311yescharacteristic
213C2×C4⋊Dic89C2311yescharacteristic
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×#13083553C2311yescharacteristic
219C2×#13083553C2311yescharacteristic
220C2×#13083553C2311yescharacteristic
221C2×#13083553C2311yescharacteristic
222C2×#13083553C2311yescharacteristic
223C2×#13083553C2311yescharacteristic
224C2×#13083553C2311yescharacteristic
225C2×#13083553C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×C22⋊Dic89—24no—
241C2×C22⋊Dic89—42no—
242C2×C22⋊Dic89—42no—
243C2×C22⋊Dic89—42no—
244C2×C22⋊Dic89—42no—
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×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
277C2×C22⋊Dic89C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×C4×Dic89—42no—
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
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
327C25×C89C2311yescharacteristic
328C22×D4×C89—24no—
329C22×D4×C89—42no—
330C22×D4×C89—42no—
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C22×D4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343#121×C89—42no—
344#121×C89—42no—
345#120×C89—24no—
346#120×C89—42no—
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C2×Dic178—41no—
370C2×Dic178—41no—
371C2×Dic178—41no—
372C22×Dic89—22no—
373C22×Dic89—22no—
374C22×Dic89—22no—
375C22×Dic89—22no—
376C22×Dic89—22no—
377C22×Dic89—22no—
378C22×Dic89—22no—
379C22×Dic89—41no—
380C22×Dic89—41no—
381C22×Dic89—41no—
382C22×Dic89—41no—
383C22×Dic89—41no—
384C22×Dic89—41no—
385C22×Dic89—41no—
386C22×Dic89—41no—
387C22×Dic89—41no—
388C22×Dic89—41no—
389C22×Dic89—41no—
390C22×Dic89—41no—
391C22×Dic89—41no—
392C22×Dic89—41no—
393C22×Dic89C2411yescharacteristic
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
408C22×Dic89C2411yescharacteristic
409C4⋊Dic89—22no—
410C4⋊Dic89—22no—
411C4⋊Dic89—22no—
412C4⋊Dic89—41no—
413C4⋊Dic89—41no—
414C4⋊Dic89—41no—
415C4⋊Dic89—41no—
416C4⋊Dic89—41no—
417C4⋊Dic89—41no—
418C4⋊Dic89—41no—
419#13083553—22no—
420#13083553—22no—
421#13083553—22no—
422#13083553—22no—
423#13083553—22no—
424#13083553—22no—
425#13083553—41no—
426#13083553—41no—
427#13083553—41no—
428#13083553—41no—
429#13083553—41no—
430#13083553—41no—
431#13083553—41no—
432#13083553—41no—
433#13083553—41no—
434#13083553—41no—
435#13083553—41no—
436#13083553—41no—
437#13083553—41no—
438#13083553—41no—
439#13083553—41no—
440#13083553—41no—
441C22⋊Dic89—22no—
442C22⋊Dic89—22no—
443C22⋊Dic89—22no—
444C22⋊Dic89—22no—
445C22⋊Dic89—22no—
446C22⋊Dic89—22no—
447C22⋊Dic89—22no—
448C22⋊Dic89—22no—
449C22⋊Dic89—22no—
450C22⋊Dic89—22no—
451C22⋊Dic89—22no—
452C22⋊Dic89—41no—
453C22⋊Dic89—41no—
454C22⋊Dic89—41no—
455C22⋊Dic89—41no—
456C22⋊Dic89—41no—
457C22⋊Dic89—41no—
458C22⋊Dic89—41no—
459C22⋊Dic89—41no—
460C22⋊Dic89—41no—
461C22⋊Dic89—41no—
462C22⋊Dic89—41no—
463C22⋊Dic89—41no—
464C22⋊Dic89—41no—
465C22⋊Dic89—41no—
466C22⋊Dic89—41no—
467C22⋊Dic89—41no—
468C22⋊Dic89—41no—
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—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C4×Dic89—22no—
483C4×Dic89—22no—
484C4×Dic89—41no—
485C4×Dic89—41no—
486C4×Dic89—41no—
487C4×Dic89—41no—
488C4×Dic89—41no—
489C24×C89—22no—
490C24×C89—22no—
491C24×C89—22no—
492C24×C89—22no—
493C24×C89—22no—
494C24×C89—41no—
495C24×C89—41no—
496C24×C89—41no—
497C24×C89—41no—
498C24×C89—41no—
499C24×C89—41no—
500C24×C89—41no—
501C24×C89—41no—
502C24×C89#4114yes—
503C24×C89C2411yescharacteristic
504C24×C89C2411yescharacteristic
505C24×C89C2411yescharacteristic
506C24×C89C2411yescharacteristic
507C24×C89C2411yescharacteristic
508C24×C89C2411yescharacteristic
509C2×D4×C89—22no—
510C2×D4×C89—22no—
511C2×D4×C89—22no—
512C2×D4×C89—22no—
513C2×D4×C89—22no—
514C2×D4×C89—22no—
515C2×D4×C89—22no—
516C2×D4×C89—22no—
517C2×D4×C89—22no—
518C2×D4×C89—22no—
519C2×D4×C89—22no—
520C2×D4×C89—22no—
521C2×D4×C89—22no—
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89—41no—
525C2×D4×C89—41no—
526C2×D4×C89—416no—
527C2×D4×C89—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C22×C4×C89—22no—
538C22×C4×C89—22no—
539C22×C4×C89—22no—
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×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C4⋊C4×C89—22no—
556C4⋊C4×C89—22no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×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×C89—21no—
587C23×C89—21no—
588C23×C89—28no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—44no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—82no—
616C23×C89—82no—
617C23×C89—82no—
618C23×C89—82no—
619C23×C89—82no—
620C23×C89—82no—
621C23×C89—82no—
622C23×C89—82no—
623C23×C89C2×#4112yes—
624C23×C89C2×#4112yes—
625C23×C89C2×#4112yes—
626C23×C89H(5,𝔽2)12yes—
627C23×C892−1+412yes—
628C23×C89C2511yescharacteristic
629D4×C89—44no—
630D4×C89—44no—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—44no—
634D4×C89—82no—
635D4×C89—82no—
636D4×C89—82no—
637D4×C89—82no—
638C2×C4×C89—28no—
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—82no—
665C2×C4×C89—82no—
666C2×C4×C89H(5,𝔽2)12yes—
667C2×C4×C89H(5,𝔽2)12yes—
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—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—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—44no—
716C2×Dic89—44no—
717C2×Dic89—82no—
718C2×Dic89—82no—
719C2×Dic89—82no—
720C2×Dic89—82no—
721C2×Dic89—82no—
722C2×Dic89H(5,𝔽2)12yes—
723Dic178—82no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—88no—
766C22×C89—88no—
767C22×C89#53914yes—
768C22×C89C22×#4111yescharacteristic
769C22×C89C2×H(5,𝔽2)11yescharacteristic
770C22×C89C2×H(5,𝔽2)11yescharacteristic
771C22×C89C2×H(5,𝔽2)11yescharacteristic
772C22×C89C2×H(5,𝔽2)11yescharacteristic
773C22×C89C2×2−1+411yescharacteristic
774C22×C89#58511yescharacteristic
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784Dic89—22no—
785Dic89—41no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36807—891nomaximal, Sylow
801C2×C89—24no—
802C2×C89—42no—
803C2×C89—42no—
804C2×C89—81no—
805C2×C89—81no—
806C2×C89—81no—
807C2×C89C2×#53911yescharacteristic
808C2×C89#349011yescharacteristic
809C2×C89#350511yescharacteristic
810C2×C89#353611yescharacteristic
811C2×C89#354211yescharacteristic
812C2×C89#354311yescharacteristic
813C2×C89#356111yescharacteristic
814#2852—891no—
815#2851—891no—
816#2796—891no—
817#2786—891no—
818#2757—891no—
819#2740—891no—
820#2737—891no—
821#2723—891no—
822#2711—891no—
823#2711—891no—
824#2707—891no—
825#2706—891no—
826#2705—891no—
827#2705—891no—
828#2696—891no—
829#2694—891no—
830#2691—891no—
831#2681—891no—
832#2626—891no—
833#2622—891no—
834#2480—891no—
835#2473—891no—
836#2449—891no—
837#2437—891no—
838#2418—891no—
839#2412—891no—
840#2410D8911yescharacteristic
841#2405—891no—
842#2321—891no—
843#2315—891no—
844C2×#390—891no—
845C89#3680711yescharacteristic, complemented, Sylow
846C23×D4C2×D8911yescharacteristic
847C2×#126—891no—
848C2×#126—891no—
849C2×#125—891no—
850C2×#125—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×#123—891no—
855C2×C22⋊Q8—891no—
856C2×C22⋊Q8—891no—
857C2×C22⋊Q8—891no—
858C2×#121C2×D8911yescharacteristic
859C2×#121C2×D8911yescharacteristic
860C2×#120C2×D8911yescharacteristic
861C2×#120C2×D8911yescharacteristic
862C2×C4×D4—891no—
863C22×C4⋊C4—891no—
864C22×C22⋊C4—891no—
865C22×C22⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869C22×C22⋊C4C2×D8911yescharacteristic
870C22×C42—891no—
871#400—891no—
872#399—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#398—891no—
878#398—891no—
879#398—891no—
880#398—891no—
881#397—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#397—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#395—891no—
900#394—891no—
901#394—891no—
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#394C2×D8911yescharacteristic
914#393—891no—
915#393—891no—
916#393—891no—
917#392C2×D8911yescharacteristic
918#392C2×D8911yescharacteristic
919#390—891no—
920#390—891no—
921#390—891no—
922#390—891no—
923#390—891no—
924#390—891no—
925#390—891no—
926#390—891no—
927#390—891no—
928#390—891no—
929#389—891no—
930#389—891no—
931#389—891no—
932#389—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#387—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#387—891no—
953#387—891no—
954#387—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386C2×D8911yescharacteristic
965#386C2×D8911yescharacteristic
966#386C2×D8911yescharacteristic
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#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385—891no—
984#385C2×D8911yescharacteristic
985#383—891no—
986#382—891no—
987#381—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#379—891no—
997#379—891no—
998#379—891no—
999#379C2×D8911yescharacteristic
1000C4×C22⋊C4—891no—
1001C25C22×D8911yescharacteristic
1002C25C22×D8911yescharacteristic
1003C22×Q8—891no—
1004C22×D4—24no—
1005C22×D4—42no—
1006C22×D4—42no—
1007C22×D4C22×D8911yescharacteristic
1008C22×D4C22×D8911yescharacteristic
1009C22×D4C22×D8911yescharacteristic
1010C22×D4C22×D8911yescharacteristic
1011C22×D4C22×D8911yescharacteristic
1012C22×D4C22×D8911yescharacteristic
1013C22×D4C22×D8911yescharacteristic
1014C22×D4C22×D8911yescharacteristic
1015C22×D4C22×D8911yescharacteristic
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026#126—3562no—
1027#126—3562no—
1028#125—3562no—
1029#125—3562no—
1030#123—3562no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034C22⋊Q8—3562no—
1035C22⋊Q8—3562no—
1036C22⋊Q8—3562no—
1037#121—42no—
1038#121—42no—
1039#120—24no—
1040#120—42no—
1041C4×D4—3562no—
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—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—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—3562no—
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C22⋊C4—42no—
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—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—3562no—
1120C2×C22⋊C4—3562no—
1121C2×C22⋊C4—3562no—
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×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—3562no—
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#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24#1308357314yes—
1197C24C23×D8911yescharacteristic
1198C24C23×D8911yescharacteristic
1199C24C23×D8911yescharacteristic
1200C24C23×D8911yescharacteristic
1201C24C23×D8911yescharacteristic
1202C24C23×D8911yescharacteristic
1203C2×Q8—3561no—
1204C2×Q8—3561no—
1205C2×Q8—3561no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4C23×D8911yescharacteristic
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
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—3561no—
1301C4⋊C4—3561no—
1302C4⋊C4—3561no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
1305C4⋊C4—3561no—
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—1782no—
1315C4⋊C4—1782no—
1316C4⋊C4—1782no—
1317C4⋊C4—1782no—
1318C4⋊C4—1782no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C4⋊C4—1782no—
1322C4⋊C4—1782no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—3561no—
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—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
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—
1378C22⋊C4—1782no—
1379C42—3561no—
1380C42—3561no—
1381C42—3561no—
1382C42—3561no—
1383C42—3561no—
1384C42—1782no—
1385C42—1782no—
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—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23C2×#1308357312yes—
1438C23C2×#1308357312yes—
1439C23C2×#1308357312yes—
1440C23#1566805712yes—
1441C23#1566805912yes—
1442C23C24×D8911yescharacteristic
1443Q8—7122no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—28no—
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—82no—
1480C2×C4—82no—
1481C2×C4—892no—
1482C2×C4—3564no—
1483C2×C4—3564no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
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—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—7122no—
1532C2×C4—7122no—
1533C2×C4—7122no—
1534C2×C4—7122no—
1535C2×C4—7122no—
1536C2×C4#1566805712yes—
1537C2×C4#1566805712yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—88no—
1581C22#1915219314yes—
1582C22C22×#1308357311yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22C2×#1566805711yescharacteristic
1585C22C2×#1566805711yescharacteristic
1586C22C2×#1566805711yescharacteristic
1587C22C2×#1566805911yescharacteristic
1588C22#1915243311yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—3561no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—1782no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×#1915219311yescharacteristic
1621C2#2603393911yescharacteristic
1622C2#2603408911yescharacteristic
1623C2#2603447211yescharacteristic
1624C2#2603457311yescharacteristic
1625C2#2603457711yescharacteristic
1626C2#2603481111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
Fitting, prime radicalC89×#2410C2
hypercenter#2410D89
hypocenterC89#36807
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. #26028565C2semidirect
2. #26028558C2semidirect
3. #26028094C2semidirect
4. #26027968C2semidirect
5. #26027583C2semidirect
6. #26027354C2semidirect
7. #26027309C2semidirect
8. #26027174C2semidirect
9. #26027003C2semidirect
10. #26027003C2semidirect
11. #26026962C2semidirect
12. #26026947C2semidirect
13. #26026932C2semidirect
14. #26026932C2semidirect
15. #26026801C2semidirect
16. #26026771C2semidirect
17. #26026729C2semidirect
18. #26026598C2semidirect
19. #26026061C2semidirect
20. #26026027C2semidirect
21. #26024495C2semidirect
22. #26024390C2semidirect
23. #26024067C2semidirect
24. #26023913C2semidirect
25. #26023710C2semidirect
26. #26023649C2semidirect
27. #26023575C2semidirect
28. #26022913C2semidirect
29. #26022864C2semidirect
30. C2×#19151501C2semidirect
32. C2×#15668005C22semidirect
33. C2×#15668005C22semidirect
34. C2×#15668002C22semidirect
35. C2×#15668002C22semidirect
38. C2×#15667993C22semidirect
39. C2×#15667993C22semidirect
40. C2×#15667991C22semidirect
42. C2×#15667989C22semidirect
51. #19151538C22semidirect
52. #19151534C22semidirect
53. #19151534C22semidirect
54. #19151534C22semidirect
55. #19151534C22semidirect
56. #19151534C22semidirect
57. #19151532C22semidirect
58. #19151531C22semidirect
59. #19151530C22semidirect
60. #19151528C22semidirect
61. #19151526C22semidirect
62. #19151526C22semidirect
63. #19151526C22semidirect
64. #19151526C22semidirect
65. #19151526C22semidirect
66. #19151526C22semidirect
67. #19151526C22semidirect
68. #19151526C22semidirect
69. #19151523C22semidirect
70. #19151523C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151521C22semidirect
74. #19151521C22semidirect
75. #19151521C22semidirect
76. #19151521C22semidirect
77. #19151521C22semidirect
78. #19151521C22semidirect
79. #19151519C22semidirect
84. #19151512C22semidirect
85. #19151512C22semidirect
86. #19151512C22semidirect
87. #19151512C22semidirect
88. #19151512C22semidirect
89. #19151512C22semidirect
90. #19151512C22semidirect
91. #19151512C22semidirect
92. #19151510C22semidirect
93. #19151510C22semidirect
94. #19151510C22semidirect
103. #19151501C22semidirect
104. #19151501C22semidirect
105. #19151495C22semidirect
106. #19151495C22semidirect
107. #19151495C22semidirect
108. #19151493C22semidirect
109. #19151492C22semidirect
110. #19151492C22semidirect
111. #19151491C22semidirect
112. #19151491C22semidirect
113. #19151491C22semidirect
114. #19151491C22semidirect
115. #19151491C22semidirect
116. #19151491C22semidirect
117. #19151486C22semidirect
118. #19151486C22semidirect
119. #19151486C22semidirect
120. #19151486C22semidirect
121. #19151485C22semidirect
122. #19151484C22semidirect
123. #19151484C22semidirect
124. #19151483C22semidirect
125. #19151483C22semidirect
126. #19151483C22semidirect
127. #19151481C22semidirect
128. #19151480C22semidirect
129. #19151480C22semidirect
130. #19151479C22semidirect
136. #19151478C22semidirect
137. #19151478C22semidirect
138. #19151478C22semidirect
139. #19151478C22semidirect
142. #19151473C22semidirect
145. #19151471C22semidirect
146. #19151471C22semidirect
147. #19151471C22semidirect
148. #19151471C22semidirect
149. #19151471C22semidirect
150. #19151471C22semidirect
156. #19151470C22semidirect
157. #19151465C22semidirect
158. #19151462C22semidirect
159. #19151459C22semidirect
160. #19151458C22semidirect
164. #19151456C22semidirect
165. #19151456C22semidirect
166. #19151456C22semidirect
167. #19151456C22semidirect
845. C89#36807semidirect

Maximal subgroups

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

subgroupindex
#260285652
#260285582
#260280942
#260279682
#260275832
#260273542
#260273092
#260271742
#260270032
#260269622
#260269472
#260269322
#260268012
#260267712
#260267292
#260265982
#260260612
#260260272
#260244952
#260243902
#260240672
#260239132
#260237102
#260236492
#260235752
#260229132
#260228642
C2×#191515012
C89×#24102
#3680789