Finite Group Databasebeta

← #36763761

Subgroups — #36763761

Order 22784.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028565C211yesmaximal, characteristic, complemented
2#26028549C211yesmaximal, characteristic, complemented
3#26028111C211yesmaximal, characteristic, complemented
4#26027639C211yesmaximal, characteristic, complemented
5#26027576C211yesmaximal, characteristic, complemented
6#26027531C211yesmaximal, characteristic, complemented
7#26027519C211yesmaximal, characteristic, complemented
8#26027505C211yesmaximal, characteristic, complemented
9#26027479C211yesmaximal, characteristic, complemented
10#26027251C211yesmaximal, characteristic, complemented
11#26027050C211yesmaximal, characteristic, complemented
12#26027041C211yesmaximal, characteristic, complemented
13#26026888C211yesmaximal, characteristic, complemented
14#26026639C211yesmaximal, characteristic, complemented
15#26026639C211yesmaximal, characteristic, complemented
16#26026573C211yesmaximal, characteristic, complemented
17#26026558C211yesmaximal, characteristic, complemented
18#26026474C211yesmaximal, characteristic, complemented
19#26026027C211yesmaximal, characteristic, complemented
20#26025990C211yesmaximal, characteristic, complemented
21#26024512C211yesmaximal, characteristic, complemented
22#26024377C211yesmaximal, characteristic, complemented
23#26023993C211yesmaximal, characteristic, complemented
24#26023918C211yesmaximal, characteristic, complemented
25#26023784C211yesmaximal, characteristic, complemented
26#26023626C211yesmaximal, characteristic, complemented
27#26023626C211yesmaximal, characteristic, complemented
28#26022907C211yesmaximal, characteristic, complemented
29#26022830C211yesmaximal, characteristic, complemented
30C2×#19151501C211yesmaximal, characteristic, complemented
31C89×#2403C211yesmaximal, characteristic, complemented
32C2×#15668005C2211yescharacteristic, complemented
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15667999C2211yescharacteristic, complemented
35C2×#15667998C2211yescharacteristic, complemented
36C2×#15667994C2211yescharacteristic, complemented
37C2×#15667989C2211yescharacteristic, complemented
38C2×#15667989C2211yescharacteristic, complemented
39C2×#15667984C2211yescharacteristic
40C2×#15667984C2211yescharacteristic
41C2×#15667984C2211yescharacteristic, complemented
42C2×#15667984C2211yescharacteristic, complemented
43C2×#15667983C2211yescharacteristic, complemented
44C2×#15667981C2211yescharacteristic
45C2×#15667981C2211yescharacteristic, complemented
46C2×#15667981C2211yescharacteristic, complemented
47C2×#15667972C2211yescharacteristic, complemented
48C22×C4⋊Dic89C2211yescharacteristic, complemented
49C22×C22⋊Dic89C2211yescharacteristic
50C22×C22⋊Dic89C2211yescharacteristic
51C22×C22⋊Dic89C2211yescharacteristic
52C22×C22⋊Dic89C2211yescharacteristic, complemented
53C22×C22⋊Dic89C2211yescharacteristic, complemented
54C22×C4×Dic89C2211yescharacteristic, complemented
55#19151540C2211yescharacteristic, complemented
56#19151538C2211yescharacteristic, complemented
57#19151534C2211yescharacteristic, complemented
58#19151534C2211yescharacteristic, complemented
59#19151532C2211yescharacteristic, complemented
60#19151526C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151526C2211yescharacteristic, complemented
65#19151526C2211yescharacteristic, complemented
66#19151525C2211yescharacteristic, complemented
67#19151523C2211yescharacteristic, complemented
68#19151523C2211yescharacteristic, complemented
69#19151521C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151514C2211yescharacteristic, complemented
74#19151514C2211yescharacteristic, complemented
75#19151513C2211yescharacteristic, complemented
76#19151513C2211yescharacteristic, complemented
77#19151512C2211yescharacteristic
78#19151512C2211yescharacteristic
79#19151512C2211yescharacteristic, complemented
80#19151512C2211yescharacteristic, complemented
81#19151512C2211yescharacteristic, complemented
82#19151512C2211yescharacteristic, complemented
83#19151512C2211yescharacteristic, complemented
84#19151512C2211yescharacteristic, complemented
85#19151512C2211yescharacteristic, complemented
86#19151512C2211yescharacteristic, complemented
87#19151512C2211yescharacteristic, complemented
88#19151512C2211yescharacteristic, complemented
89#19151512C2211yescharacteristic, complemented
90#19151510C2211yescharacteristic, complemented
91#19151510C2211yescharacteristic, complemented
92#19151506C2211yescharacteristic
93#19151506C2211yescharacteristic
94#19151506C2211yescharacteristic, complemented
95#19151506C2211yescharacteristic, complemented
96#19151506C2211yescharacteristic, complemented
97#19151506C2211yescharacteristic, complemented
98#19151506C2211yescharacteristic, complemented
99#19151502C2211yescharacteristic, complemented
100#19151501C2211yescharacteristic
101#19151501C2211yescharacteristic
102#19151501C2211yescharacteristic
103#19151501C2211yescharacteristic
104#19151501C2211yescharacteristic, complemented
105#19151501C2211yescharacteristic, complemented
106#19151501C2211yescharacteristic, complemented
107#19151501C2211yescharacteristic, complemented
108#19151501C2211yescharacteristic, complemented
109#19151501C2211yescharacteristic, complemented
110#19151498C2211yescharacteristic, complemented
111#19151498C2211yescharacteristic, complemented
112#19151498C2211yescharacteristic, complemented
113#19151492C2211yescharacteristic, complemented
114#19151492C2211yescharacteristic, complemented
115#19151492C2211yescharacteristic, complemented
116#19151492C2211yescharacteristic, complemented
117#19151492C2211yescharacteristic, complemented
118#19151491C2211yescharacteristic, complemented
119#19151491C2211yescharacteristic, complemented
120#19151491C2211yescharacteristic, complemented
121#19151491C2211yescharacteristic, complemented
122#19151490C2211yescharacteristic, complemented
123#19151487C2211yescharacteristic, complemented
124#19151486C2211yescharacteristic, complemented
125#19151486C2211yescharacteristic, complemented
126#19151486C2211yescharacteristic, complemented
127#19151486C2211yescharacteristic, complemented
128#19151486C2211yescharacteristic, complemented
129#19151485C2211yescharacteristic, complemented
130#19151485C2211yescharacteristic, complemented
131#19151483C2211yescharacteristic, complemented
132#19151483C2211yescharacteristic, complemented
133#19151481C2211yescharacteristic, complemented
134#19151480C2211yescharacteristic, complemented
135#19151478C2211yescharacteristic
136#19151478C2211yescharacteristic
137#19151478C2211yescharacteristic
138#19151478C2211yescharacteristic
139#19151478C2211yescharacteristic
140#19151478C2211yescharacteristic
141#19151478C2211yescharacteristic, complemented
142#19151478C2211yescharacteristic, complemented
143#19151478C2211yescharacteristic, complemented
144#19151478C2211yescharacteristic, complemented
145#19151478C2211yescharacteristic, complemented
146#19151478C2211yescharacteristic, complemented
147#19151477C2211yescharacteristic, complemented
148#19151477C2211yescharacteristic, complemented
149#19151475C2211yescharacteristic, complemented
150#19151474C2211yescharacteristic, complemented
151#19151474C2211yescharacteristic, complemented
152#19151474C2211yescharacteristic, complemented
153#19151473C2211yescharacteristic, complemented
154#19151473C2211yescharacteristic, complemented
155#19151472C2211yescharacteristic, complemented
156#19151471C2211yescharacteristic, complemented
157#19151471C2211yescharacteristic, complemented
158#19151470C2211yescharacteristic, complemented
159#19151470C2211yescharacteristic, complemented
160#19151470C2211yescharacteristic, complemented
161#19151465C2211yescharacteristic, complemented
162#19151462C2211yescharacteristic, complemented
163#19151461C2211yescharacteristic, complemented
164#19151461C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic, complemented
167#19151454C2211yescharacteristic, complemented
168#19151454C2211yescharacteristic, complemented
169#19151454C2211yescharacteristic, complemented
170#19151454C2211yescharacteristic, complemented
171C22⋊C4×Dic89C2211yescharacteristic, complemented
172C23×D4×C89C2211yescharacteristic
173C23×D4×C89C2211yescharacteristic
174C2×#120×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176C2×#120×C89C2211yescharacteristic
177C2×#120×C89C2211yescharacteristic
178#392×C89C2211yescharacteristic
179#392×C89C2211yescharacteristic
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C22×C22⋊D89C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202#15668005—42no—
203#15668005—42no—
204#15667999—42no—
205#15667998—42no—
206#15667994—42no—
207#15667989—42no—
208#15667989—42no—
209#15667984—42no—
210#15667984—42no—
211#15667984—42no—
212#15667984—42no—
213#15667983—42no—
214#15667981—24no—
215#15667981—42no—
216#15667981—42no—
217#15667972—42no—
218C2×C4⋊Dic89—42no—
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×C4⋊Dic89C2311yescharacteristic
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
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×C22⋊Dic89—42no—
240C2×C22⋊Dic89—42no—
241C2×C22⋊Dic89—42no—
242C2×C22⋊Dic89—42no—
243C2×C22⋊Dic89—42no—
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×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×C22⋊Dic89C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×C4×Dic89—42no—
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330C25×C89C2311yescharacteristic
331C25×C89C2311yescharacteristic
332C25×C89C2311yescharacteristic
333C22×D4×C89—24no—
334C22×D4×C89—24no—
335C22×D4×C89—42no—
336C22×D4×C89—42no—
337C22×D4×C89—42no—
338C22×D4×C89—42no—
339C22×D4×C89C2311yescharacteristic
340C22×D4×C89C2311yescharacteristic
341C22×D4×C89C2311yescharacteristic
342C22×D4×C89C2311yescharacteristic
343C22×D4×C89C2311yescharacteristic
344C22×D4×C89C2311yescharacteristic
345C22×D4×C89C2311yescharacteristic
346C22×D4×C89C2311yescharacteristic
347C22×D4×C89C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C22×D4×C89C2311yescharacteristic
350C22×D4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352C23×C4×C89C2311yescharacteristic
353#120×C89—42no—
354#120×C89—42no—
355#120×C89—42no—
356#120×C89—42no—
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
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375C23×D89C2411yescharacteristic
376C2×Dic178—22no—
377C2×Dic178—41no—
378C2×Dic178—41no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—41no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C22×Dic89—22no—
401C22×Dic89—22no—
402C22×Dic89—22no—
403C22×Dic89—22no—
404C22×Dic89—22no—
405C22×Dic89—41no—
406C22×Dic89—41no—
407C22×Dic89—41no—
408C22×Dic89—41no—
409C22×Dic89—41no—
410C22×Dic89—41no—
411C22×Dic89—41no—
412C22×Dic89—41no—
413C22×Dic89—41no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C2×C4×D89—41no—
434C2×C4×D89—41no—
435C2×C4×D89—41no—
436C4⋊Dic89—22no—
437C4⋊Dic89—22no—
438C4⋊Dic89—22no—
439C4⋊Dic89—41no—
440C4⋊Dic89—41no—
441C4⋊Dic89—41no—
442C4⋊Dic89—41no—
443#13083553—22no—
444#13083553—22no—
445#13083553—41no—
446#13083553—41no—
447#13083553—41no—
448#13083553—41no—
449#13083553—41no—
450#13083553—41no—
451#13083553—41no—
452#13083553—41no—
453#13083553—41no—
454#13083553—41no—
455#13083553—41no—
456C22⋊Dic89—22no—
457C22⋊Dic89—22no—
458C22⋊Dic89—22no—
459C22⋊Dic89—22no—
460C22⋊Dic89—22no—
461C22⋊Dic89—22no—
462C22⋊Dic89—22no—
463C22⋊Dic89—22no—
464C22⋊Dic89—22no—
465C22⋊Dic89—22no—
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—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
491C22⋊Dic89—41no—
492C22⋊Dic89—41no—
493C22⋊Dic89—41no—
494C22⋊Dic89—41no—
495C22⋊Dic89—41no—
496C22⋊Dic89—41no—
497C22⋊Dic89—41no—
498C22⋊Dic89—41no—
499#13083551—22no—
500#13083551—22no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506C4×Dic89—22no—
507C4×Dic89—22no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C4×Dic89—41no—
511C4×Dic89—41no—
512C4×Dic89—41no—
513C24×C89—22no—
514C24×C89—22no—
515C24×C89—22no—
516C24×C89—22no—
517C24×C89—22no—
518C24×C89—22no—
519C24×C89—41no—
520C24×C89—41no—
521C24×C89—41no—
522C24×C89—41no—
523C24×C89—41no—
524C24×C89—41no—
525C24×C89—41no—
526C24×C89—41no—
527C24×C89—41no—
528C24×C89—41no—
529C24×C89—41no—
530C24×C89—41no—
531C24×C89—41no—
532C24×C89—41no—
533C24×C89#4114yes—
534C24×C89C2411yescharacteristic
535C24×C89C2411yescharacteristic
536C24×C89C2411yescharacteristic
537C24×C89C2411yescharacteristic
538C24×C89C2411yescharacteristic
539C24×C89C2411yescharacteristic
540C24×C89C2411yescharacteristic
541C2×D4×C89—22no—
542C2×D4×C89—22no—
543C2×D4×C89—22no—
544C2×D4×C89—22no—
545C2×D4×C89—22no—
546C2×D4×C89—22no—
547C2×D4×C89—22no—
548C2×D4×C89—22no—
549C2×D4×C89—22no—
550C2×D4×C89—22no—
551C2×D4×C89—22no—
552C2×D4×C89—22no—
553C2×D4×C89—22no—
554C2×D4×C89—22no—
555C2×D4×C89—22no—
556C2×D4×C89—22no—
557C2×D4×C89—41no—
558C2×D4×C89—41no—
559C2×D4×C89—41no—
560C2×D4×C89—41no—
561C2×D4×C89—41no—
562C2×D4×C89—41no—
563C2×D4×C89—41no—
564C2×D4×C89—41no—
565C2×D4×C89—416no—
566C2×D4×C89—41no—
567C2×D4×C89—41no—
568C2×D4×C89—41no—
569C2×D4×C89—41no—
570C2×D4×C89—41no—
571C2×D4×C89—41no—
572C2×D4×C89—41no—
573C2×D4×C89—41no—
574C2×D4×C89—41no—
575C2×D4×C89—41no—
576C2×D4×C89—41no—
577C2×D4×C89—41no—
578C2×D4×C89—416no—
579C22×C4×C89—22no—
580C22×C4×C89—22no—
581C22×C4×C89—22no—
582C22×C4×C89—22no—
583C22×C4×C89—41no—
584C22×C4×C89—41no—
585C22×C4×C89C2411yescharacteristic
586C22×C4×C89C2411yescharacteristic
587C22×C4×C89C2411yescharacteristic
588C22×C4×C89C2411yescharacteristic
589C22×C4×C89C2411yescharacteristic
590C22×C4×C89C2411yescharacteristic
591C22×C4×C89C2411yescharacteristic
592C22×C4×C89C2411yescharacteristic
593C22⋊C4×C89—22no—
594C22⋊C4×C89—22no—
595C22⋊C4×C89—22no—
596C22⋊C4×C89—22no—
597C22⋊C4×C89—22no—
598C22⋊C4×C89—22no—
599C22⋊C4×C89—41no—
600C22⋊C4×C89—41no—
601C22⋊C4×C89—41no—
602C22⋊C4×C89—41no—
603C22⋊C4×C89—41no—
604C22⋊C4×C89—41no—
605C22⋊C4×C89—41no—
606C22⋊C4×C89—41no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—21no—
616C23×C89—21no—
617C23×C89—21no—
618C23×C89—21no—
619C23×C89—21no—
620C23×C89—21no—
621C23×C89—21no—
622C23×C89—21no—
623C23×C89—28no—
624C23×C89—21no—
625C23×C89—21no—
626C23×C89—21no—
627C23×C89—21no—
628C23×C89—21no—
629C23×C89—21no—
630C23×C89—21no—
631C23×C89—21no—
632C23×C89—21no—
633C23×C89—21no—
634C23×C89—21no—
635C23×C89—21no—
636C23×C89—21no—
637C23×C89—21no—
638C23×C89—21no—
639C23×C89—21no—
640C23×C89—21no—
641C23×C89—21no—
642C23×C89—21no—
643C23×C89—21no—
644C23×C89—21no—
645C23×C89—21no—
646C23×C89—21no—
647C23×C89—21no—
648C23×C89—21no—
649C23×C89—21no—
650C23×C89—21no—
651C23×C89—21no—
652C23×C89—44no—
653C23×C89—44no—
654C23×C89—44no—
655C23×C89—44no—
656C23×C89—44no—
657C23×C89—44no—
658C23×C89—82no—
659C23×C89—82no—
660C23×C89—82no—
661C23×C89—82no—
662C23×C89—82no—
663C23×C89—82no—
664C23×C89—82no—
665C23×C89—82no—
666C23×C89—82no—
667C23×C89—82no—
668C23×C89—82no—
669C23×C89—82no—
670C23×C89—82no—
671C23×C89—82no—
672C23×C89C2×#4112yes—
673C23×C89C2×#4112yes—
674C23×C89C2×#4112yes—
675C23×C89H(5,𝔽2)12yes—
676C23×C89H(5,𝔽2)12yes—
677C23×C89C2511yescharacteristic
678C22×D89—21no—
679C22×D89—21no—
680C22×D89—21no—
681C22×D89—21no—
682C22×D89—21no—
683C22×D89—21no—
684C22×D89—21no—
685D4×C89—44no—
686D4×C89—44no—
687D4×C89—44no—
688D4×C89—44no—
689D4×C89—44no—
690D4×C89—44no—
691D4×C89—44no—
692D4×C89—44no—
693D4×C89—82no—
694D4×C89—82no—
695D4×C89—82no—
696D4×C89—82no—
697C2×C4×C89—28no—
698C2×C4×C89—21no—
699C2×C4×C89—21no—
700C2×C4×C89—21no—
701C2×C4×C89—21no—
702C2×C4×C89—21no—
703C2×C4×C89—21no—
704C2×C4×C89—21no—
705C2×C4×C89—21no—
706C2×C4×C89—21no—
707C2×C4×C89—21no—
708C2×C4×C89—21no—
709C2×C4×C89—21no—
710C2×C4×C89—21no—
711C2×C4×C89—21no—
712C2×C4×C89—21no—
713C2×C4×C89—21no—
714C2×C4×C89—21no—
715C2×C4×C89—21no—
716C2×C4×C89—21no—
717C2×C4×C89—21no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—44no—
721C2×C4×C89H(5,𝔽2)12yes—
722C2×C4×C89H(5,𝔽2)12yes—
723C22⋊D89—44no—
724C22⋊D89—82no—
725C22⋊D89—82no—
726C22⋊D89—82no—
727C22⋊D89—82no—
728C22⋊D89—82no—
729C22⋊D89—82no—
730C2×Dic89—21no—
731C2×Dic89—21no—
732C2×Dic89—21no—
733C2×Dic89—21no—
734C2×Dic89—21no—
735C2×Dic89—21no—
736C2×Dic89—21no—
737C2×Dic89—21no—
738C2×Dic89—21no—
739C2×Dic89—21no—
740C2×Dic89—21no—
741C2×Dic89—21no—
742C2×Dic89—21no—
743C2×Dic89—21no—
744C2×Dic89—21no—
745C2×Dic89—21no—
746C2×Dic89—21no—
747C2×Dic89—21no—
748C2×Dic89—21no—
749C2×Dic89—21no—
750C2×Dic89—21no—
751C2×Dic89—21no—
752C2×Dic89—21no—
753C2×Dic89—21no—
754C2×Dic89—21no—
755C2×Dic89—21no—
756C2×Dic89—21no—
757C2×Dic89—21no—
758C2×Dic89—21no—
759C2×Dic89—21no—
760C2×Dic89—21no—
761C2×Dic89—21no—
762C2×Dic89—21no—
763C2×Dic89—21no—
764C2×Dic89—21no—
765C2×Dic89—21no—
766C2×Dic89—21no—
767C2×Dic89—21no—
768C2×Dic89—21no—
769C2×Dic89—21no—
770C2×Dic89—21no—
771C2×Dic89—21no—
772C2×Dic89—21no—
773C2×Dic89—21no—
774C2×Dic89—44no—
775C2×Dic89—44no—
776C2×Dic89—82no—
777C2×Dic89—82no—
778C2×Dic89—82no—
779C2×Dic89—82no—
780C2×Dic89H(5,𝔽2)12yes—
781C4×D89—82no—
782Dic178—82no—
783C22×C89—22no—
784C22×C89—22no—
785C22×C89—22no—
786C22×C89—22no—
787C22×C89—22no—
788C22×C89—22no—
789C22×C89—22no—
790C22×C89—22no—
791C22×C89—22no—
792C22×C89—22no—
793C22×C89—22no—
794C22×C89—22no—
795C22×C89—41no—
796C22×C89—41no—
797C22×C89—41no—
798C22×C89—41no—
799C22×C89—41no—
800C22×C89—41no—
801C22×C89—41no—
802C22×C89—41no—
803C22×C89—41no—
804C22×C89—41no—
805C22×C89—41no—
806C22×C89—41no—
807C22×C89—41no—
808C22×C89—41no—
809C22×C89—41no—
810C22×C89—41no—
811C22×C89—41no—
812C22×C89—41no—
813C22×C89—41no—
814C22×C89—41no—
815C22×C89—41no—
816C22×C89—41no—
817C22×C89—41no—
818C22×C89—41no—
819C22×C89—41no—
820C22×C89—41no—
821C22×C89—41no—
822C22×C89—41no—
823C22×C89—41no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—88no—
832C22×C89—88no—
833C22×C89—88no—
834C22×C89#53814yes—
835C22×C89C22×#4111yescharacteristic
836C22×C89C2×H(5,𝔽2)11yescharacteristic
837C22×C89C2×H(5,𝔽2)11yescharacteristic
838C22×C89C2×H(5,𝔽2)11yescharacteristic
839C22×C89C2×H(5,𝔽2)11yescharacteristic
840C22×C89C2×H(5,𝔽2)11yescharacteristic
841C22×C89#58511yescharacteristic
842C2×D89—41no—
843C2×D89—41no—
844C2×D89—41no—
845C2×D89—41no—
846C2×D89—41no—
847C2×D89—41no—
848C2×D89—41no—
849C4×C89—22no—
850C4×C89—22no—
851C4×C89—41no—
852C4×C89—41no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857Dic89—22no—
858Dic89—41no—
859Dic89—41no—
860Dic89—41no—
861Dic89—41no—
862Dic89—41no—
863Dic89—41no—
864Dic89—41no—
865Dic89—41no—
866Dic89—41no—
867Dic89—41no—
868Dic89—41no—
869Dic89—41no—
870Dic89—41no—
871Dic89—41no—
872#36808—891nomaximal, Sylow
873C2×C89—24no—
874C2×C89—42no—
875C2×C89—42no—
876C2×C89—81no—
877C2×C89—81no—
878C2×C89—81no—
879C2×C89—81no—
880C2×C89C2×#53811yescharacteristic
881C2×C89#349011yescharacteristic
882C2×C89#350511yescharacteristic
883C2×C89#353711yescharacteristic
884C2×C89#354211yescharacteristic
885C2×C89#354311yescharacteristic
886C2×C89#355811yescharacteristic
887D89—81no—
888#2852—891no—
889#2850—891no—
890#2797—891no—
891#2761—891no—
892#2756—891no—
893#2753—891no—
894#2752—891no—
895#2751—891no—
896#2749—891no—
897#2730—891no—
898#2714—891no—
899#2714—891no—
900#2703—891no—
901#2685—891no—
902#2685—891no—
903#2678—891no—
904#2676—891no—
905#2670—891no—
906#2622—891no—
907#2617—891no—
908#2481—891no—
909#2472—891no—
910#2443—891no—
911#2437—891no—
912#2424—891no—
913#2410—891no—
914#2410—891no—
915#2403D8911yescharacteristic, complemented
916#2321—891no—
917#2308—891no—
918C2×#390—891no—
919C89#3680811yescharacteristic, complemented, Sylow
920C23×D4C2×D8911yescharacteristic
921C23×D4C2×D8911yescharacteristic
922C2×#126—891no—
923C2×#126—891no—
924C2×#124—891no—
925C2×#124—891no—
926C2×#123—891no—
927C2×C22⋊Q8—891no—
928C2×C22⋊Q8—891no—
929C2×#121—891no—
930C2×#121—891no—
931C2×#121—891no—
932C2×#121—891no—
933C2×#121—891no—
934C2×#120—891no—
935C2×#120—891no—
936C2×#120—891no—
937C2×#120C2×D8911yescharacteristic
938C2×#120C2×D8911yescharacteristic
939C2×#120C2×D8911yescharacteristic
940C2×#120C2×D8911yescharacteristic
941C2×C4×D4—891no—
942C22×C4⋊C4—891no—
943C22×C22⋊C4—891no—
944C22×C22⋊C4—891no—
945C22×C22⋊C4—891no—
946C22×C22⋊C4—891no—
947C22×C22⋊C4—891no—
948C22×C42—891no—
949#400—891no—
950#400—891no—
951#399—891no—
952#399—891no—
953#398—891no—
954#397—891no—
955#397—891no—
956#397—891no—
957#397—891no—
958#397—891no—
959#397—891no—
960#397—891no—
961#397—891no—
962#397—891no—
963#396—891no—
964#396—891no—
965#396—891no—
966#396—891no—
967#394—891no—
968#394—891no—
969#394—891no—
970#394—891no—
971#394—891no—
972#394—891no—
973#394—891no—
974#394—891no—
975#394—891no—
976#394—891no—
977#394—891no—
978#394—891no—
979#394—891no—
980#394—891no—
981#394—891no—
982#394—891no—
983#394—891no—
984#393—891no—
985#393—891no—
986#392—891no—
987#392—891no—
988#392—891no—
989#392—891no—
990#392—891no—
991#392—891no—
992#392—891no—
993#392C2×D8911yescharacteristic
994#392C2×D8911yescharacteristic
995#392C2×D8911yescharacteristic
996#392C2×D8911yescharacteristic
997#391—891no—
998#390—891no—
999#390—891no—
1000#390—891no—
1001#390—891no—
1002#390—891no—
1003#390—891no—
1004#390—891no—
1005#390—891no—
1006#390—891no—
1007#390—891no—
1008#390—891no—
1009#390—891no—
1010#390—891no—
1011#388—891no—
1012#388—891no—
1013#388—891no—
1014#388—891no—
1015#388—891no—
1016#388—891no—
1017#388—891no—
1018#388—891no—
1019#388—891no—
1020#388—891no—
1021#388—891no—
1022#388—891no—
1023#388—891no—
1024#388—891no—
1025#388—891no—
1026#388—891no—
1027#387—891no—
1028#387—891no—
1029#387—891no—
1030#387—891no—
1031#387—891no—
1032#387—891no—
1033#386—891no—
1034#386—891no—
1035#386—891no—
1036#386—891no—
1037#386—891no—
1038#386—891no—
1039#386—891no—
1040#386—891no—
1041#386—891no—
1042#386—891no—
1043#386—891no—
1044#386—891no—
1045#386—891no—
1046#386—891no—
1047#386—891no—
1048#386—891no—
1049#386—891no—
1050#386—891no—
1051#386C2×D8911yescharacteristic
1052#386C2×D8911yescharacteristic
1053#386C2×D8911yescharacteristic
1054#386C2×D8911yescharacteristic
1055#385—891no—
1056#385—891no—
1057#385—891no—
1058#385—891no—
1059#385—891no—
1060#385—891no—
1061#385—891no—
1062#385—891no—
1063#383—891no—
1064#382—891no—
1065#381—891no—
1066#381—891no—
1067#380—891no—
1068#380—891no—
1069#379—891no—
1070#379—891no—
1071#379—891no—
1072#379—891no—
1073#379C2×D8911yescharacteristic
1074C4×C22⋊C4—891no—
1075C25C22×D8911yescharacteristic
1076C25C22×D8911yescharacteristic
1077C25C22×D8911yescharacteristic
1078C22×Q8—891no—
1079C22×D4—24no—
1080C22×D4—24no—
1081C22×D4—42no—
1082C22×D4—42no—
1083C22×D4—42no—
1084C22×D4—42no—
1085C22×D4—891no—
1086C22×D4—891no—
1087C22×D4—891no—
1088C22×D4—891no—
1089C22×D4—891no—
1090C22×D4—891no—
1091C22×D4—891no—
1092C22×D4C22×D8911yescharacteristic
1093C22×D4C22×D8911yescharacteristic
1094C22×D4C22×D8911yescharacteristic
1095C22×D4C22×D8911yescharacteristic
1096C22×D4C22×D8911yescharacteristic
1097C22×D4C22×D8911yescharacteristic
1098C22×D4C22×D8911yescharacteristic
1099C22×D4C22×D8911yescharacteristic
1100C22×D4C22×D8911yescharacteristic
1101C22×D4C22×D8911yescharacteristic
1102C22×D4C22×D8911yescharacteristic
1103C22×D4C22×D8911yescharacteristic
1104C23×C4—891no—
1105C23×C4—891no—
1106C23×C4—891no—
1107C23×C4—891no—
1108C23×C4—891no—
1109C23×C4—891no—
1110C23×C4—891no—
1111C23×C4C22×D8911yescharacteristic
1112C23×C4C22×D8911yescharacteristic
1113#126—3562no—
1114#126—3562no—
1115#124—3562no—
1116#124—3562no—
1117#123—3562no—
1118C22⋊Q8—3562no—
1119C22⋊Q8—3562no—
1120#121—3562no—
1121#121—3562no—
1122#121—3562no—
1123#121—3562no—
1124#121—3562no—
1125#120—42no—
1126#120—42no—
1127#120—42no—
1128#120—42no—
1129#120—3562no—
1130#120—3562no—
1131#120—1784no—
1132C4×D4—3562no—
1133C2×C4⋊C4—891no—
1134C2×C4⋊C4—891no—
1135C2×C4⋊C4—891no—
1136C2×C4⋊C4—891no—
1137C2×C4⋊C4—891no—
1138C2×C4⋊C4—891no—
1139C2×C4⋊C4—891no—
1140C2×C4⋊C4—891no—
1141C2×C4⋊C4—891no—
1142C2×C4⋊C4—891no—
1143C2×C4⋊C4—891no—
1144C2×C4⋊C4—891no—
1145C2×C4⋊C4—891no—
1146C2×C4⋊C4—891no—
1147C2×C4⋊C4—891no—
1148C2×C4⋊C4—891no—
1149C2×C4⋊C4—891no—
1150C2×C4⋊C4—891no—
1151C2×C4⋊C4—891no—
1152C2×C4⋊C4—891no—
1153C2×C4⋊C4—3562no—
1154C2×C22⋊C4—891no—
1155C2×C22⋊C4—891no—
1156C2×C22⋊C4—891no—
1157C2×C22⋊C4—891no—
1158C2×C22⋊C4—891no—
1159C2×C22⋊C4—891no—
1160C2×C22⋊C4—891no—
1161C2×C22⋊C4—891no—
1162C2×C22⋊C4—891no—
1163C2×C22⋊C4—891no—
1164C2×C22⋊C4—891no—
1165C2×C22⋊C4—891no—
1166C2×C22⋊C4—891no—
1167C2×C22⋊C4—891no—
1168C2×C22⋊C4—891no—
1169C2×C22⋊C4—891no—
1170C2×C22⋊C4—891no—
1171C2×C22⋊C4—891no—
1172C2×C22⋊C4—891no—
1173C2×C22⋊C4—891no—
1174C2×C22⋊C4—891no—
1175C2×C22⋊C4—891no—
1176C2×C22⋊C4—891no—
1177C2×C22⋊C4—891no—
1178C2×C22⋊C4—891no—
1179C2×C22⋊C4—891no—
1180C2×C22⋊C4—891no—
1181C2×C22⋊C4—891no—
1182C2×C22⋊C4—891no—
1183C2×C22⋊C4—891no—
1184C2×C22⋊C4—891no—
1185C2×C22⋊C4—891no—
1186C2×C22⋊C4—891no—
1187C2×C22⋊C4—891no—
1188C2×C22⋊C4—891no—
1189C2×C22⋊C4—891no—
1190C2×C22⋊C4—891no—
1191C2×C22⋊C4—891no—
1192C2×C22⋊C4—891no—
1193C2×C22⋊C4—891no—
1194C2×C22⋊C4—891no—
1195C2×C22⋊C4—891no—
1196C2×C22⋊C4—891no—
1197C2×C22⋊C4—891no—
1198C2×C22⋊C4—891no—
1199C2×C22⋊C4—891no—
1200C2×C22⋊C4—891no—
1201C2×C22⋊C4—891no—
1202C2×C22⋊C4—891no—
1203C2×C22⋊C4—891no—
1204C2×C22⋊C4—3562no—
1205C2×C22⋊C4—3562no—
1206C2×C22⋊C4—3562no—
1207C2×C22⋊C4—3562no—
1208C2×C22⋊C4—3562no—
1209C2×C22⋊C4C22×D8911yescharacteristic
1210C2×C22⋊C4C22×D8911yescharacteristic
1211C2×C22⋊C4C22×D8911yescharacteristic
1212C2×C22⋊C4C22×D8911yescharacteristic
1213C2×C22⋊C4C22×D8911yescharacteristic
1214C2×C22⋊C4C22×D8911yescharacteristic
1215C2×C22⋊C4C22×D8911yescharacteristic
1216C2×C22⋊C4C22×D8911yescharacteristic
1217C2×C22⋊C4C22×D8911yescharacteristic
1218C2×C22⋊C4C22×D8911yescharacteristic
1219C2×C22⋊C4C22×D8911yescharacteristic
1220C2×C22⋊C4C22×D8911yescharacteristic
1221C2×C22⋊C4C22×D8911yescharacteristic
1222C2×C22⋊C4C22×D8911yescharacteristic
1223C2×C42—891no—
1224C2×C42—891no—
1225C2×C42—891no—
1226C2×C42—891no—
1227C2×C42—891no—
1228C2×C42—891no—
1229C2×C42—891no—
1230C2×C42—3562no—
1231#95—891no—
1232#95—891no—
1233#95—891no—
1234#95—891no—
1235#95—891no—
1236#95—891no—
1237#95—891no—
1238#95—891no—
1239#95—891no—
1240#95—891no—
1241#95—891no—
1242#95—891no—
1243#95—891no—
1244#95—891no—
1245#95—891no—
1246#95—891no—
1247#95—891no—
1248#95—891no—
1249#95—891no—
1250#95—891no—
1251#95—891no—
1252#95—891no—
1253#95—891no—
1254#95—891no—
1255#95—891no—
1256#95—891no—
1257#95—891no—
1258#95—891no—
1259#95C22×D8911yescharacteristic
1260#95C22×D8911yescharacteristic
1261#95C22×D8911yescharacteristic
1262#95C22×D8911yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—891no—
1284C24#1308357314yes—
1285C24C23×D8911yescharacteristic
1286C24C23×D8911yescharacteristic
1287C24C23×D8911yescharacteristic
1288C24C23×D8911yescharacteristic
1289C24C23×D8911yescharacteristic
1290C24C23×D8911yescharacteristic
1291C24C23×D8911yescharacteristic
1292C2×Q8—3561no—
1293C2×Q8—3561no—
1294C2×Q8—1782no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—416no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—416no—
1333C2×D4—3561no—
1334C2×D4—3561no—
1335C2×D4—3561no—
1336C2×D4—3561no—
1337C2×D4—3561no—
1338C2×D4—3561no—
1339C2×D4—3561no—
1340C2×D4—3561no—
1341C2×D4—3561no—
1342C2×D4—3561no—
1343C2×D4—3561no—
1344C2×D4—3561no—
1345C2×D4—3561no—
1346C2×D4—3561no—
1347C2×D4—3561no—
1348C2×D4—1782no—
1349C2×D4—1782no—
1350C2×D4—1782no—
1351C2×D4—1782no—
1352C2×D4—1782no—
1353C2×D4—1782no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—891no—
1361C22×C4—891no—
1362C22×C4—891no—
1363C22×C4—891no—
1364C22×C4—891no—
1365C22×C4—891no—
1366C22×C4—891no—
1367C22×C4—891no—
1368C22×C4—891no—
1369C22×C4—891no—
1370C22×C4—891no—
1371C22×C4—891no—
1372C22×C4—891no—
1373C22×C4—891no—
1374C22×C4—891no—
1375C22×C4—3561no—
1376C22×C4—3561no—
1377C22×C4—3561no—
1378C22×C4—3561no—
1379C22×C4—3561no—
1380C22×C4—3561no—
1381C22×C4—3561no—
1382C22×C4—3561no—
1383C22×C4—3561no—
1384C22×C4—3561no—
1385C22×C4—3561no—
1386C22×C4—3561no—
1387C22×C4—3561no—
1388C22×C4—3561no—
1389C22×C4—3561no—
1390C22×C4—3561no—
1391C22×C4—1782no—
1392C22×C4—1782no—
1393C22×C4—1782no—
1394C22×C4—1782no—
1395C22×C4—1782no—
1396C22×C4C23×D8911yescharacteristic
1397C22×C4C23×D8911yescharacteristic
1398C22×C4C23×D8911yescharacteristic
1399C22×C4C23×D8911yescharacteristic
1400C22×C4C23×D8911yescharacteristic
1401C22×C4C23×D8911yescharacteristic
1402C22×C4C23×D8911yescharacteristic
1403C22×C4C23×D8911yescharacteristic
1404C4⋊C4—3561no—
1405C4⋊C4—3561no—
1406C4⋊C4—3561no—
1407C4⋊C4—3561no—
1408C4⋊C4—3561no—
1409C4⋊C4—3561no—
1410C4⋊C4—3561no—
1411C4⋊C4—3561no—
1412C4⋊C4—3561no—
1413C4⋊C4—3561no—
1414C4⋊C4—3561no—
1415C4⋊C4—3561no—
1416C4⋊C4—3561no—
1417C4⋊C4—3561no—
1418C4⋊C4—3561no—
1419C4⋊C4—1782no—
1420C4⋊C4—1782no—
1421C4⋊C4—1782no—
1422C4⋊C4—1782no—
1423C4⋊C4—1782no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—3561no—
1439C22⋊C4—3561no—
1440C22⋊C4—3561no—
1441C22⋊C4—3561no—
1442C22⋊C4—3561no—
1443C22⋊C4—3561no—
1444C22⋊C4—3561no—
1445C22⋊C4—3561no—
1446C22⋊C4—3561no—
1447C22⋊C4—3561no—
1448C22⋊C4—3561no—
1449C22⋊C4—3561no—
1450C22⋊C4—3561no—
1451C22⋊C4—3561no—
1452C22⋊C4—3561no—
1453C22⋊C4—3561no—
1454C22⋊C4—3561no—
1455C22⋊C4—3561no—
1456C22⋊C4—3561no—
1457C22⋊C4—3561no—
1458C22⋊C4—3561no—
1459C22⋊C4—3561no—
1460C22⋊C4—3561no—
1461C22⋊C4—3561no—
1462C22⋊C4—3561no—
1463C22⋊C4—3561no—
1464C22⋊C4—3561no—
1465C22⋊C4—3561no—
1466C22⋊C4—3561no—
1467C22⋊C4—3561no—
1468C22⋊C4—3561no—
1469C22⋊C4—3561no—
1470C22⋊C4—3561no—
1471C22⋊C4—3561no—
1472C22⋊C4—3561no—
1473C22⋊C4—3561no—
1474C22⋊C4—3561no—
1475C22⋊C4—3561no—
1476C22⋊C4—1782no—
1477C22⋊C4—1782no—
1478C22⋊C4—1782no—
1479C22⋊C4—1782no—
1480C22⋊C4—1782no—
1481C22⋊C4—1782no—
1482C22⋊C4—1782no—
1483C22⋊C4—1782no—
1484C22⋊C4—1782no—
1485C22⋊C4—1782no—
1486C22⋊C4—1782no—
1487C22⋊C4—1782no—
1488C42—3561no—
1489C42—3561no—
1490C42—3561no—
1491C42—3561no—
1492C42—3561no—
1493C42—1782no—
1494C42—1782no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—82no—
1551C23—82no—
1552C23—82no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—1781no—
1561C23—1781no—
1562C23—1781no—
1563C23—1781no—
1564C23—1781no—
1565C23—1781no—
1566C23—1781no—
1567C23C2×#1308357312yes—
1568C23C2×#1308357312yes—
1569C23C2×#1308357312yes—
1570C23#1566805712yes—
1571C23#1566805712yes—
1572C23C24×D8911yescharacteristic
1573Q8—7122no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—3564no—
1587D4—7122no—
1588D4—7122no—
1589D4—7122no—
1590D4—7122no—
1591D4—7122no—
1592D4—7122no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—44no—
1617C2×C4—892no—
1618C2×C4—3564no—
1619C2×C4—3564no—
1620C2×C4—1781no—
1621C2×C4—1781no—
1622C2×C4—1781no—
1623C2×C4—1781no—
1624C2×C4—1781no—
1625C2×C4—1781no—
1626C2×C4—1781no—
1627C2×C4—1781no—
1628C2×C4—1781no—
1629C2×C4—1781no—
1630C2×C4—1781no—
1631C2×C4—1781no—
1632C2×C4—1781no—
1633C2×C4—1781no—
1634C2×C4—1781no—
1635C2×C4—1781no—
1636C2×C4—1781no—
1637C2×C4—1781no—
1638C2×C4—1781no—
1639C2×C4—1781no—
1640C2×C4—1781no—
1641C2×C4—1781no—
1642C2×C4—1781no—
1643C2×C4—1781no—
1644C2×C4—1781no—
1645C2×C4—1781no—
1646C2×C4—1781no—
1647C2×C4—1781no—
1648C2×C4—1781no—
1649C2×C4—1781no—
1650C2×C4—1781no—
1651C2×C4—1781no—
1652C2×C4—1781no—
1653C2×C4—1781no—
1654C2×C4—1781no—
1655C2×C4—1781no—
1656C2×C4—1781no—
1657C2×C4—1781no—
1658C2×C4—1781no—
1659C2×C4—1781no—
1660C2×C4—1781no—
1661C2×C4—1781no—
1662C2×C4—1781no—
1663C2×C4—1781no—
1664C2×C4—7122no—
1665C2×C4—7122no—
1666C2×C4—7122no—
1667C2×C4—7122no—
1668C2×C4—7122no—
1669C2×C4#1566805712yes—
1670C2×C4#1566805712yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—88no—
1720C22—88no—
1721C22—88no—
1722C22—3561no—
1723C22—3561no—
1724C22—3561no—
1725C22—3561no—
1726C22—3561no—
1727C22—3561no—
1728C22—3561no—
1729C22#1915218314yes—
1730C22C22×#1308357311yescharacteristic
1731C22H(5,𝔽2)×D8911yescharacteristic
1732C22C2×#1566805711yescharacteristic
1733C22C2×#1566805711yescharacteristic
1734C22C2×#1566805711yescharacteristic
1735C22C2×#1566805711yescharacteristic
1736C22#1915243311yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—3561no—
1746C4—3561no—
1747C4—3561no—
1748C4—3561no—
1749C4—3561no—
1750C4—3561no—
1751C4—3561no—
1752C4—3561no—
1753C4—3561no—
1754C4—3561no—
1755C4—3561no—
1756C4—3561no—
1757C4—3561no—
1758C4—3561no—
1759C4—1782no—
1760C2—24no—
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—7121no—
1768C2C2×#1915218311yescharacteristic
1769C2#2603393911yescharacteristic
1770C2#2603408911yescharacteristic
1771C2#2603448311yescharacteristic
1772C2#2603457311yescharacteristic
1773C2#2603457711yescharacteristic
1774C2#2603476611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2403C2
hypercenter#2403D89
hypocenterC89#36808
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. #26028565C2semidirect
2. #26028549C2semidirect
3. #26028111C2semidirect
4. #26027639C2semidirect
5. #26027576C2semidirect
6. #26027531C2semidirect
7. #26027519C2semidirect
8. #26027505C2semidirect
9. #26027479C2semidirect
10. #26027251C2semidirect
11. #26027050C2semidirect
12. #26027041C2semidirect
13. #26026888C2semidirect
14. #26026639C2semidirect
15. #26026639C2semidirect
16. #26026573C2semidirect
17. #26026558C2semidirect
18. #26026474C2semidirect
19. #26026027C2semidirect
20. #26025990C2semidirect
21. #26024512C2semidirect
22. #26024377C2semidirect
23. #26023993C2semidirect
24. #26023918C2semidirect
25. #26023784C2semidirect
26. #26023626C2semidirect
27. #26023626C2semidirect
28. #26022907C2semidirect
29. #26022830C2semidirect
30. C2×#19151501C2semidirect
31. C89×#2403C2semidirect
32. C2×#15668005C22semidirect
33. C2×#15668005C22semidirect
34. C2×#15667999C22semidirect
35. C2×#15667998C22semidirect
36. C2×#15667994C22semidirect
37. C2×#15667989C22semidirect
38. C2×#15667989C22semidirect
41. C2×#15667984C22semidirect
42. C2×#15667984C22semidirect
43. C2×#15667983C22semidirect
45. C2×#15667981C22semidirect
46. C2×#15667981C22semidirect
47. C2×#15667972C22semidirect
48. C22×C4⋊Dic89C22semidirect
52. C22×C22⋊Dic89C22semidirect
53. C22×C22⋊Dic89C22semidirect
54. C22×C4×Dic89C22semidirect
55. #19151540C22semidirect
56. #19151538C22semidirect
57. #19151534C22semidirect
58. #19151534C22semidirect
59. #19151532C22semidirect
60. #19151526C22semidirect
61. #19151526C22semidirect
62. #19151526C22semidirect
63. #19151526C22semidirect
64. #19151526C22semidirect
65. #19151526C22semidirect
66. #19151525C22semidirect
67. #19151523C22semidirect
68. #19151523C22semidirect
69. #19151521C22semidirect
70. #19151521C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151514C22semidirect
74. #19151514C22semidirect
75. #19151513C22semidirect
76. #19151513C22semidirect
79. #19151512C22semidirect
80. #19151512C22semidirect
81. #19151512C22semidirect
82. #19151512C22semidirect
83. #19151512C22semidirect
84. #19151512C22semidirect
85. #19151512C22semidirect
86. #19151512C22semidirect
87. #19151512C22semidirect
88. #19151512C22semidirect
89. #19151512C22semidirect
90. #19151510C22semidirect
91. #19151510C22semidirect
94. #19151506C22semidirect
95. #19151506C22semidirect
96. #19151506C22semidirect
97. #19151506C22semidirect
98. #19151506C22semidirect
99. #19151502C22semidirect
104. #19151501C22semidirect
105. #19151501C22semidirect
106. #19151501C22semidirect
107. #19151501C22semidirect
108. #19151501C22semidirect
109. #19151501C22semidirect
110. #19151498C22semidirect
111. #19151498C22semidirect
112. #19151498C22semidirect
113. #19151492C22semidirect
114. #19151492C22semidirect
115. #19151492C22semidirect
116. #19151492C22semidirect
117. #19151492C22semidirect
118. #19151491C22semidirect
119. #19151491C22semidirect
120. #19151491C22semidirect
121. #19151491C22semidirect
122. #19151490C22semidirect
123. #19151487C22semidirect
124. #19151486C22semidirect
125. #19151486C22semidirect
126. #19151486C22semidirect
127. #19151486C22semidirect
128. #19151486C22semidirect
129. #19151485C22semidirect
130. #19151485C22semidirect
131. #19151483C22semidirect
132. #19151483C22semidirect
133. #19151481C22semidirect
134. #19151480C22semidirect
141. #19151478C22semidirect
142. #19151478C22semidirect
143. #19151478C22semidirect
144. #19151478C22semidirect
145. #19151478C22semidirect
146. #19151478C22semidirect
147. #19151477C22semidirect
148. #19151477C22semidirect
149. #19151475C22semidirect
150. #19151474C22semidirect
151. #19151474C22semidirect
152. #19151474C22semidirect
153. #19151473C22semidirect
154. #19151473C22semidirect
155. #19151472C22semidirect
156. #19151471C22semidirect
157. #19151471C22semidirect
158. #19151470C22semidirect
159. #19151470C22semidirect
160. #19151470C22semidirect
161. #19151465C22semidirect
162. #19151462C22semidirect
163. #19151461C22semidirect
164. #19151461C22semidirect
165. #19151456C22semidirect
166. #19151456C22semidirect
167. #19151454C22semidirect
168. #19151454C22semidirect
169. #19151454C22semidirect
170. #19151454C22semidirect
171. C22⋊C4×Dic89C22semidirect
915. #2403D89semidirect
919. C89#36808semidirect

Maximal subgroups

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

subgroupindex
#260285652
#260285492
#260281112
#260276392
#260275762
#260275312
#260275192
#260275052
#260274792
#260272512
#260270502
#260270412
#260268882
#260266392
#260265732
#260265582
#260264742
#260260272
#260259902
#260245122
#260243772
#260239932
#260239182
#260237842
#260236262
#260229072
#260228302
C2×#191515012
C89×#24032
#3680889