Finite Group Databasebeta

← #36762855

Subgroups — #36762855

Order 22784.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028568C211yesmaximal, characteristic, complemented
2#26028552C211yesmaximal, characteristic, complemented
3#26027917C211yesmaximal, characteristic, complemented
4#26027909C211yesmaximal, characteristic, complemented
5#26027870C211yesmaximal, characteristic, complemented
6#26027692C211yesmaximal, characteristic, complemented
7#26027674C211yesmaximal, characteristic, complemented
8#26027638C211yesmaximal, characteristic, complemented
9#26027568C211yesmaximal, characteristic, complemented
10#26027391C211yesmaximal, characteristic, complemented
11#26027371C211yesmaximal, characteristic, complemented
12#26027292C211yesmaximal, characteristic, complemented
13#26027287C211yesmaximal, characteristic, complemented
14#26027251C211yesmaximal, characteristic, complemented
15#26026881C211yesmaximal, characteristic, complemented
16#26026644C211yesmaximal, characteristic, complemented
17#26026631C211yesmaximal, characteristic, complemented
18#26026031C211yesmaximal, characteristic, complemented
19#26025999C211yesmaximal, characteristic, complemented
20#26024805C211yesmaximal, characteristic, complemented
21#26024579C211yesmaximal, characteristic, complemented
22#26024001C211yesmaximal, characteristic, complemented
23#26023916C211yesmaximal, characteristic, complemented
24#26023802C211yesmaximal, characteristic, complemented
25#26023647C211yesmaximal, characteristic, complemented
26#26023619C211yesmaximal, characteristic
27#26023574C211yesmaximal, characteristic, complemented
28#26022908C211yesmaximal, characteristic, complemented
29#26022826C211yesmaximal, characteristic, complemented
30#388×D89C211yesmaximal, characteristic, complemented
31C89×#2749C211yesmaximal, characteristic, complemented
32C22×D4×D89C2211yescharacteristic
33C2×#15668006C2211yescharacteristic, complemented
34C2×#15667999C2211yescharacteristic, complemented
35C2×#15667997C2211yescharacteristic
36C2×#15667994C2211yescharacteristic
37C2×#15667994C2211yescharacteristic, complemented
38C2×#15667992C2211yescharacteristic, complemented
39C2×#15667989C2211yescharacteristic, complemented
40C2×#15667985C2211yescharacteristic
41C2×#15667983C2211yescharacteristic
42C2×#15667980C2211yescharacteristic
43C2×#15667980C2211yescharacteristic
44C2×C4×C22⋊D89C2211yescharacteristic, complemented
45C2×C4⋊C4×D89C2211yescharacteristic, complemented
46C22×#13083551C2211yescharacteristic
47C2×C22⋊C4×D89C2211yescharacteristic
48C2×C22⋊C4×D89C2211yescharacteristic
49C2×C22⋊C4×D89C2211yescharacteristic
50C2×C42×D89C2211yescharacteristic, complemented
51C89⋊#401C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151540C2211yescharacteristic, complemented
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151535C2211yescharacteristic
58#19151534C2211yescharacteristic, complemented
59#19151534C2211yescharacteristic, complemented
60#19151532C2211yescharacteristic, complemented
61#19151531C2211yescharacteristic, complemented
62#19151530C2211yescharacteristic, complemented
63#19151530C2211yescharacteristic, complemented
64#19151529C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic
66#19151527C2211yescharacteristic, complemented
67#19151526C2211yescharacteristic, complemented
68#19151526C2211yescharacteristic, complemented
69#19151525C2211yescharacteristic
70#19151525C2211yescharacteristic, complemented
71#19151523C2211yescharacteristic, complemented
72#19151523C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151521C2211yescharacteristic, complemented
75#19151520C2211yescharacteristic
76#19151520C2211yescharacteristic
77#19151520C2211yescharacteristic, complemented
78#19151520C2211yescharacteristic, complemented
79#19151514C2211yescharacteristic
80#19151514C2211yescharacteristic
81#19151514C2211yescharacteristic
82#19151514C2211yescharacteristic, complemented
83#19151514C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic
85#19151513C2211yescharacteristic
86#19151513C2211yescharacteristic, complemented
87#19151512C2211yescharacteristic
88#19151512C2211yescharacteristic
89#19151512C2211yescharacteristic, complemented
90#19151511C2211yescharacteristic
91#19151511C2211yescharacteristic, complemented
92#19151506C2211yescharacteristic
93#19151504C2211yescharacteristic, complemented
94#19151502C2211yescharacteristic, complemented
95#19151501C2211yescharacteristic, complemented
96#19151498C2211yescharacteristic
97#19151495C2211yescharacteristic, complemented
98#19151492C2211yescharacteristic, complemented
99#19151491C2211yescharacteristic, complemented
100#19151491C2211yescharacteristic, complemented
101#19151491C2211yescharacteristic, complemented
102#19151491C2211yescharacteristic, complemented
103#19151491C2211yescharacteristic, complemented
104#19151491C2211yescharacteristic, complemented
105#19151491C2211yescharacteristic, complemented
106#19151490C2211yescharacteristic
107#19151490C2211yescharacteristic
108#19151490C2211yescharacteristic, complemented
109#19151490C2211yescharacteristic, complemented
110#19151490C2211yescharacteristic, complemented
111#19151490C2211yescharacteristic, complemented
112#19151489C2211yescharacteristic
113#19151488C2211yescharacteristic
114#19151488C2211yescharacteristic, complemented
115#19151487C2211yescharacteristic
116#19151487C2211yescharacteristic
117#19151487C2211yescharacteristic, complemented
118#19151486C2211yescharacteristic, complemented
119#19151486C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic, complemented
121#19151486C2211yescharacteristic, complemented
122#19151484C2211yescharacteristic, complemented
123#19151483C2211yescharacteristic, complemented
124#19151483C2211yescharacteristic, complemented
125#19151483C2211yescharacteristic, complemented
126#19151481C2211yescharacteristic, complemented
127#19151478C2211yescharacteristic
128#19151478C2211yescharacteristic, complemented
129#19151477C2211yescharacteristic
130#19151477C2211yescharacteristic
131#19151477C2211yescharacteristic, complemented
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic
136#19151475C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic
139#19151474C2211yescharacteristic
140#19151474C2211yescharacteristic
141#19151474C2211yescharacteristic
142#19151474C2211yescharacteristic, complemented
143#19151474C2211yescharacteristic, complemented
144#19151473C2211yescharacteristic, complemented
145#19151472C2211yescharacteristic
146#19151472C2211yescharacteristic
147#19151472C2211yescharacteristic, complemented
148#19151472C2211yescharacteristic, complemented
149#19151472C2211yescharacteristic, complemented
150#19151472C2211yescharacteristic, complemented
151#19151469C2211yescharacteristic
152#19151465C2211yescharacteristic, complemented
153#19151463C2211yescharacteristic, complemented
154#19151463C2211yescharacteristic, complemented
155#19151460C2211yescharacteristic
156#19151460C2211yescharacteristic
157#19151460C2211yescharacteristic, complemented
158#19151458C2211yescharacteristic, complemented
159#19151458C2211yescharacteristic, complemented
160#19151458C2211yescharacteristic, complemented
161#19151456C2211yescharacteristic, complemented
162#19151455C2211yescharacteristic, complemented
163#19151453C2211yescharacteristic
164#19151453C2211yescharacteristic
165#19151453C2211yescharacteristic
166#19151453C2211yescharacteristic
167#19151453C2211yescharacteristic
168#19151453C2211yescharacteristic
169#19151445C2211yescharacteristic, complemented
170#95×D89C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172#400×C89C2211yescharacteristic, complemented
173#397×C89C2211yescharacteristic, complemented
174#397×C89C2211yescharacteristic, complemented
175#396×C89C2211yescharacteristic, complemented
176#394×C89C2211yescharacteristic
177#392×C89C2211yescharacteristic
178#390×C89C2211yescharacteristic, complemented
179#388×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic, complemented
183#386×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic, complemented
185#383×C89C2211yescharacteristic, complemented
186#381×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C2×D4×D89—24no—
197C2×D4×D89—42no—
198C2×D4×D89—42no—
199C23×Dic89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202C22×C4×D89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207#15668006—42no—
208#15667999—42no—
209#15667997—42no—
210#15667994—42no—
211#15667994—42no—
212#15667992—42no—
213#15667989—42no—
214#15667985—42no—
215#15667983—42no—
216#15667980—24no—
217#15667980—42no—
218C4×C22⋊D89—42no—
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×C4⋊Dic89C2311yescharacteristic
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C4⋊C4×D89—42no—
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×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×#13083551—42no—
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C22⋊C4×D89—24no—
287C22⋊C4×D89—42no—
288C22⋊C4×D89—42no—
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C42×D89—42no—
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
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328C22×D4×C89C2311yescharacteristic
329C22×D4×C89C2311yescharacteristic
330C22×D4×C89C2311yescharacteristic
331C23×C4×C89C2311yescharacteristic
332C23×C4×C89C2311yescharacteristic
333C2×C4⋊C4×C89C2311yescharacteristic
334C2×C4⋊C4×C89C2311yescharacteristic
335C2×C4⋊C4×C89C2311yescharacteristic
336C2×C4⋊C4×C89C2311yescharacteristic
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×C42×C89C2311yescharacteristic
351#95×C89C2311yescharacteristic
352#95×C89C2311yescharacteristic
353#95×C89C2311yescharacteristic
354#95×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—22no—
364C23×D89—22no—
365C23×D89—22no—
366C23×D89—41no—
367C23×D89—41no—
368C23×D89—41no—
369C23×D89—41no—
370C23×D89—41no—
371C23×D89—41no—
372C23×D89—41no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89—41no—
376C23×D89#4114yes—
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380C2×Dic178—22no—
381C2×Dic178—41no—
382C2×Dic178—41no—
383C2×D356—22no—
384C2×D356—22no—
385C2×D356—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—22no—
391C2×C22⋊D89—22no—
392C2×C22⋊D89—22no—
393C2×C22⋊D89—22no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401D4×D89—416no—
402C22×Dic89—41no—
403C22×Dic89—41no—
404C22×Dic89—41no—
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
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—22no—
425C2×C4×D89—22no—
426C2×C4×D89—22no—
427C2×C4×D89—22no—
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—
439C4⋊Dic89—41no—
440C4⋊Dic89—41no—
441C4⋊Dic89—41no—
442C4⋊Dic89—41no—
443C4⋊Dic89—41no—
444C4⋊Dic89—41no—
445C4⋊Dic89—41no—
446C4⋊Dic89—41no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450#13083553—22no—
451#13083553—41no—
452#13083553—41no—
453#13083553—41no—
454#13083553—41no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461C22⋊Dic89—22no—
462C22⋊Dic89—22no—
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—
477#13083551—22no—
478#13083551—22no—
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—41no—
488#13083551—41no—
489#13083551—41no—
490#13083551—41no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495#13083551—41no—
496#13083551—41no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504C4×Dic89—22no—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C24×C89C2411yescharacteristic
511C24×C89C2411yescharacteristic
512C24×C89C2411yescharacteristic
513C2×D4×C89—22no—
514C2×D4×C89—22no—
515C2×D4×C89—22no—
516C2×D4×C89—41no—
517C2×D4×C89—41no—
518C2×D4×C89—41no—
519C2×D4×C89—41no—
520C2×D4×C89—41no—
521C2×D4×C89—41no—
522C22×C4×C89—41no—
523C22×C4×C89—41no—
524C22×C4×C89—41no—
525C22×C4×C89—41no—
526C22×C4×C89—41no—
527C22×C4×C89—41no—
528C22×C4×C89C2411yescharacteristic
529C22×C4×C89C2411yescharacteristic
530C22×C4×C89C2411yescharacteristic
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537C22×C4×C89C2411yescharacteristic
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C4⋊C4×C89—41no—
541C4⋊C4×C89—41no—
542C4⋊C4×C89—41no—
543C4⋊C4×C89—41no—
544C22⋊C4×C89—22no—
545C22⋊C4×C89—22no—
546C22⋊C4×C89—41no—
547C22⋊C4×C89—41no—
548C22⋊C4×C89—41no—
549C22⋊C4×C89—41no—
550C22⋊C4×C89—41no—
551C22⋊C4×C89—41no—
552C22⋊C4×C89—41no—
553C22⋊C4×C89—41no—
554C22⋊C4×C89—41no—
555C22⋊C4×C89—41no—
556C22⋊C4×C89—41no—
557C42×C89—22no—
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—21no—
568C23×C89—21no—
569C23×C89—21no—
570C23×C89—21no—
571C23×C89—21no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89C2×#4112yes—
579C23×C89C2511yescharacteristic
580C22×D89—21no—
581C22×D89—21no—
582C22×D89—21no—
583C22×D89—21no—
584C22×D89—21no—
585C22×D89—21no—
586C22×D89—21no—
587C22×D89—21no—
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—28no—
591C22×D89—21no—
592C22×D89—21no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—21no—
598C22×D89—44no—
599C22×D89—44no—
600C22×D89—44no—
601C22×D89—82no—
602C22×D89—82no—
603C22×D89—82no—
604C22×D89—82no—
605C22×D89—82no—
606C22×D89—82no—
607C22×D89—82no—
608C22×D89—82no—
609C22×D89—82no—
610C22×D89—82no—
611C22×D89C2×#4112yes—
612C22×D89C2×#4112yes—
613C22×D89H(5,𝔽2)12yes—
614C22×D89H(5,𝔽2)12yes—
615D4×C89—44no—
616D4×C89—82no—
617D4×C89—82no—
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—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—82no—
654C2×C4×C89—82no—
655C2×C4×C89H(5,𝔽2)12yes—
656C22⋊D89—44no—
657C22⋊D89—44no—
658C22⋊D89—44no—
659C22⋊D89—82no—
660C22⋊D89—82no—
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—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—82no—
701D356—44no—
702C4×D89—44no—
703C4×D89—44no—
704C4×D89—44no—
705C4×D89—44no—
706C4×D89—44no—
707C4×D89—82no—
708C4×D89—82no—
709Dic178—82no—
710C22×C89—22no—
711C22×C89—22no—
712C22×C89—22no—
713C22×C89—41no—
714C22×C89—41no—
715C22×C89—41no—
716C22×C89—41no—
717C22×C89—41no—
718C22×C89—41no—
719C22×C89—41no—
720C22×C89—41no—
721C22×C89—41no—
722C22×C89—41no—
723C22×C89—41no—
724C22×C89—41no—
725C22×C89—41no—
726C22×C89—41no—
727C22×C89—41no—
728C22×C89—41no—
729C22×C89—41no—
730C22×C89—41no—
731C22×C89C22×#4111yescharacteristic
732C22×C89C2×H(5,𝔽2)11yescharacteristic
733C22×C89C2×H(5,𝔽2)11yescharacteristic
734C22×C89C2×H(5,𝔽2)11yescharacteristic
735C22×C89#58511yescharacteristic
736C22×C89#58511yescharacteristic
737C22×C89#58511yescharacteristic
738C2×D89—22no—
739C2×D89—22no—
740C2×D89—22no—
741C2×D89—22no—
742C2×D89—22no—
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—41no—
748C2×D89—41no—
749C2×D89—41no—
750C2×D89—41no—
751C2×D89—41no—
752C2×D89—41no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—88no—
759C2×D89—88no—
760C2×D89#53814yes—
761C4×C89—22no—
762C4×C89—41no—
763C4×C89—41no—
764C4×C89—41no—
765C4×C89—41no—
766C4×C89—41no—
767C4×C89—41no—
768C4×C89—41no—
769C4×C89—41no—
770C4×C89—41no—
771C4×C89—41no—
772C4×C89—41no—
773Dic89—41no—
774Dic89—41no—
775Dic89—41no—
776Dic89—41no—
777Dic89—41no—
778Dic89—41no—
779Dic89—41no—
780Dic89—41no—
781Dic89—41no—
782Dic89—41no—
783Dic89—41no—
784Dic89—41no—
785Dic89—41no—
786#36779—891nomaximal, Sylow
787C2×C89—42no—
788C2×C89—81no—
789C2×C89—81no—
790C2×C89C2×#53811yescharacteristic
791C2×C89#349111yescharacteristic
792C2×C89#350511yescharacteristic
793C2×C89#353411yescharacteristic
794C2×C89#354211yescharacteristic
795C2×C89#354511yescharacteristic
796C2×C89#356011yescharacteristic
797D89—24no—
798D89—42no—
799D89—81no—
800#2852—891no—
801#2850—891no—
802#2781—891no—
803#2781—891no—
804#2778—891no—
805#2765—891no—
806#2764—891no—
807#2761—891no—
808#2756—891no—
809#2749D8911yescharacteristic, complemented
810#2743—891no—
811#2741—891no—
812#2735—891no—
813#2735—891no—
814#2730—891no—
815#2702—891no—
816#2685—891no—
817#2684—891no—
818#2623—891no—
819#2618—891no—
820#2510—891no—
821#2488—891no—
822#2444—891no—
823#2437—891no—
824#2425—891no—
825#2412—891no—
826#2410—891no—
827#2405—891no—
828#2321—891no—
829#2308—891no—
830C2×#388—891no—
831C89#3677911yescharacteristic, complemented, Sylow
832C23×D4—891no—
833C2×#126—891no—
834C2×#124—891no—
835C2×#123—891no—
836C2×#123—891no—
837C2×#123—891no—
838C2×C22⋊Q8—891no—
839C2×C22⋊Q8—891no—
840C2×#121—891no—
841C2×#121—891no—
842C2×#120—891no—
843C2×#120—891no—
844C2×C4×D4—891no—
845C22×C4⋊C4—891no—
846C22×C22⋊C4—891no—
847C22×C22⋊C4—891no—
848C22×C22⋊C4—891no—
849C22×C22⋊C4—891no—
850C22×C42—891no—
851#401—891no—
852#400—891no—
853#400—891no—
854#400—891no—
855#400—891no—
856#400—891no—
857#400C2×D8911yescharacteristic, complemented
858#399—891no—
859#399—891no—
860#399—891no—
861#398—891no—
862#398—891no—
863#398—891no—
864#398—891no—
865#398—891no—
866#397—891no—
867#397—891no—
868#397—891no—
869#397—891no—
870#397—891no—
871#397—891no—
872#397—891no—
873#397—891no—
874#397C2×D8911yescharacteristic, complemented
875#397C2×D8911yescharacteristic, complemented
876#396—891no—
877#396—891no—
878#396—891no—
879#396—891no—
880#396—891no—
881#396—891no—
882#396C2×D8911yescharacteristic, complemented
883#394—891no—
884#394—891no—
885#394—891no—
886#394—891no—
887#394—891no—
888#394—891no—
889#394—891no—
890#394—891no—
891#394—891no—
892#394—891no—
893#394—891no—
894#394C2×D8911yescharacteristic
895#393—891no—
896#393—891no—
897#392—891no—
898#392C2×D8911yescharacteristic
899#391—891no—
900#391—891no—
901#390—891no—
902#390—891no—
903#390C2×D8911yescharacteristic, complemented
904#389—891no—
905#388—891no—
906#388—891no—
907#388—891no—
908#388—891no—
909#388—891no—
910#388—891no—
911#388—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388C2×D8911yescharacteristic, complemented
930#387—891no—
931#387—891no—
932#387—891no—
933#387—891no—
934#387—891no—
935#386—891no—
936#386—891no—
937#386—891no—
938#386—891no—
939#386—891no—
940#386—891no—
941#386—891no—
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386C2×D8911yescharacteristic
953#386C2×D8911yescharacteristic, complemented
954#386C2×D8911yescharacteristic, complemented
955#386C2×D8911yescharacteristic, complemented
956#385—891no—
957#385—891no—
958#385—891no—
959#385—891no—
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385C2×D8911yescharacteristic, complemented
965#383—891no—
966#383C2×D8911yescharacteristic, complemented
967#382—891no—
968#382—891no—
969#381—891no—
970#381—891no—
971#381—891no—
972#381C2×D8911yescharacteristic, complemented
973#380—891no—
974#380—891no—
975#380—891no—
976#380—891no—
977#380—891no—
978#379—891no—
979#379—891no—
980#379—891no—
981#379—891no—
982#379—891no—
983#379—891no—
984C4×C22⋊C4—891no—
985C2×#95—891no—
986C2×#95—891no—
987C25—891no—
988C25—891no—
989C22×Q8—891no—
990C22×D4—891no—
991C22×D4—891no—
992C22×D4—891no—
993C22×D4—891no—
994C22×D4—891no—
995C22×D4—891no—
996C22×D4—3562no—
997C22×D4—3562no—
998C22×D4—1784no—
999C22×D4C22×D8911yescharacteristic
1000C22×D4C22×D8911yescharacteristic
1001C22×D4C22×D8911yescharacteristic
1002C23×C4—891no—
1003C23×C4—891no—
1004C23×C4—891no—
1005C23×C4—891no—
1006C23×C4—891no—
1007C23×C4—891no—
1008C23×C4—891no—
1009C23×C4—891no—
1010C23×C4C22×D8911yescharacteristic
1011C23×C4C22×D8911yescharacteristic
1012#126—3562no—
1013#124—3562no—
1014#123—3562no—
1015#123—3562no—
1016#123—3562no—
1017C22⋊Q8—3562no—
1018C22⋊Q8—3562no—
1019#121—3562no—
1020#121—3562no—
1021#120—3562no—
1022#120—1784no—
1023C4×D4—3562no—
1024C2×C4⋊C4—891no—
1025C2×C4⋊C4—891no—
1026C2×C4⋊C4—891no—
1027C2×C4⋊C4—891no—
1028C2×C4⋊C4—891no—
1029C2×C4⋊C4—891no—
1030C2×C4⋊C4—891no—
1031C2×C4⋊C4—891no—
1032C2×C4⋊C4—891no—
1033C2×C4⋊C4—891no—
1034C2×C4⋊C4—891no—
1035C2×C4⋊C4—891no—
1036C2×C4⋊C4—891no—
1037C2×C4⋊C4—891no—
1038C2×C4⋊C4—891no—
1039C2×C4⋊C4—891no—
1040C2×C4⋊C4—891no—
1041C2×C4⋊C4—891no—
1042C2×C4⋊C4—891no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—3562no—
1047C2×C4⋊C4C22×D8911yescharacteristic
1048C2×C4⋊C4C22×D8911yescharacteristic
1049C2×C4⋊C4C22×D8911yescharacteristic
1050C2×C4⋊C4C22×D8911yescharacteristic
1051C2×C22⋊C4—891no—
1052C2×C22⋊C4—891no—
1053C2×C22⋊C4—891no—
1054C2×C22⋊C4—891no—
1055C2×C22⋊C4—891no—
1056C2×C22⋊C4—891no—
1057C2×C22⋊C4—891no—
1058C2×C22⋊C4—891no—
1059C2×C22⋊C4—891no—
1060C2×C22⋊C4—891no—
1061C2×C22⋊C4—891no—
1062C2×C22⋊C4—891no—
1063C2×C22⋊C4—891no—
1064C2×C22⋊C4—891no—
1065C2×C22⋊C4—891no—
1066C2×C22⋊C4—891no—
1067C2×C22⋊C4—891no—
1068C2×C22⋊C4—891no—
1069C2×C22⋊C4—891no—
1070C2×C22⋊C4—891no—
1071C2×C22⋊C4—891no—
1072C2×C22⋊C4—891no—
1073C2×C22⋊C4—891no—
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—3562no—
1095C2×C22⋊C4—3562no—
1096C2×C22⋊C4—3562no—
1097C2×C22⋊C4—1784no—
1098C2×C22⋊C4C22×D8911yescharacteristic
1099C2×C22⋊C4C22×D8911yescharacteristic
1100C2×C22⋊C4C22×D8911yescharacteristic
1101C2×C22⋊C4C22×D8911yescharacteristic
1102C2×C22⋊C4C22×D8911yescharacteristic
1103C2×C22⋊C4C22×D8911yescharacteristic
1104C2×C22⋊C4C22×D8911yescharacteristic
1105C2×C22⋊C4C22×D8911yescharacteristic
1106C2×C22⋊C4C22×D8911yescharacteristic
1107C2×C22⋊C4C22×D8911yescharacteristic
1108C2×C22⋊C4C22×D8911yescharacteristic
1109C2×C22⋊C4C22×D8911yescharacteristic
1110C2×C22⋊C4C22×D8911yescharacteristic
1111C2×C42—891no—
1112C2×C42—891no—
1113C2×C42—891no—
1114C2×C42—891no—
1115C2×C42—891no—
1116C2×C42—891no—
1117C2×C42—3562no—
1118C2×C42C22×D8911yescharacteristic
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#95—891no—
1137#95—891no—
1138#95—891no—
1139#95—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95C22×D8911yescharacteristic
1152#95C22×D8911yescharacteristic
1153#95C22×D8911yescharacteristic
1154#95C22×D8911yescharacteristic
1155#95C22×D8911yescharacteristic
1156#95C22×D8911yescharacteristic
1157#95C22×D8911yescharacteristic
1158#95C22×D8911yescharacteristic
1159#95C22×D8911yescharacteristic
1160#95C22×D8911yescharacteristic
1161#95C22×D8911yescharacteristic
1162#95C22×D8911yescharacteristic
1163C24—891no—
1164C24—894no—
1165C24—891no—
1166C24—891no—
1167C24—3561no—
1168C24—3561no—
1169C24—3561no—
1170C24—3561no—
1171C24—3561no—
1172C24—3561no—
1173C24—3561no—
1174C24—3561no—
1175C24—3561no—
1176C24—3561no—
1177C24—1782no—
1178C24—1782no—
1179C24—1782no—
1180C24C23×D8911yescharacteristic
1181C24C23×D8911yescharacteristic
1182C24C23×D8911yescharacteristic
1183C2×Q8—3561no—
1184C2×Q8—3561no—
1185C2×Q8—1782no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—35616no—
1196C2×D4—3561no—
1197C2×D4—3561no—
1198C2×D4—3561no—
1199C2×D4—3561no—
1200C2×D4—3561no—
1201C2×D4—3561no—
1202C2×D4—3561no—
1203C2×D4—1782no—
1204C2×D4—1782no—
1205C2×D4—1782no—
1206C2×D4—1782no—
1207C2×D4—1782no—
1208C2×D4—1782no—
1209C2×D4—1782no—
1210C2×D4—1782no—
1211C2×D4—1782no—
1212C2×D4—1782no—
1213C2×D4—1782no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—891no—
1221C22×C4—891no—
1222C22×C4—891no—
1223C22×C4—891no—
1224C22×C4—891no—
1225C22×C4—891no—
1226C22×C4—891no—
1227C22×C4—891no—
1228C22×C4—891no—
1229C22×C4—891no—
1230C22×C4—891no—
1231C22×C4—891no—
1232C22×C4—891no—
1233C22×C4—3561no—
1234C22×C4—3561no—
1235C22×C4—3561no—
1236C22×C4—3561no—
1237C22×C4—3561no—
1238C22×C4—3561no—
1239C22×C4—3561no—
1240C22×C4—3561no—
1241C22×C4—3561no—
1242C22×C4—3561no—
1243C22×C4—3561no—
1244C22×C4—3561no—
1245C22×C4—3561no—
1246C22×C4—3561no—
1247C22×C4—1782no—
1248C22×C4—1782no—
1249C22×C4—1782no—
1250C22×C4—1782no—
1251C22×C4—1782no—
1252C22×C4—1782no—
1253C22×C4—1782no—
1254C22×C4—1782no—
1255C22×C4—1782no—
1256C22×C4—1782no—
1257C22×C4C23×D8911yescharacteristic
1258C22×C4C23×D8911yescharacteristic
1259C22×C4C23×D8911yescharacteristic
1260C22×C4C23×D8911yescharacteristic
1261C22×C4C23×D8911yescharacteristic
1262C22×C4C23×D8911yescharacteristic
1263C22×C4C23×D8911yescharacteristic
1264C22×C4C23×D8911yescharacteristic
1265C22×C4C23×D8911yescharacteristic
1266C22×C4C23×D8911yescharacteristic
1267C22×C4C23×D8911yescharacteristic
1268C22×C4C23×D8911yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—3561no—
1274C4⋊C4—3561no—
1275C4⋊C4—3561no—
1276C4⋊C4—3561no—
1277C4⋊C4—3561no—
1278C4⋊C4—3561no—
1279C4⋊C4—3561no—
1280C4⋊C4—3561no—
1281C4⋊C4—3561no—
1282C4⋊C4—3561no—
1283C4⋊C4—3561no—
1284C4⋊C4—3561no—
1285C4⋊C4—3561no—
1286C4⋊C4—3561no—
1287C4⋊C4—3561no—
1288C4⋊C4—3561no—
1289C4⋊C4—3561no—
1290C4⋊C4—3561no—
1291C4⋊C4—3561no—
1292C4⋊C4—3561no—
1293C4⋊C4—3561no—
1294C4⋊C4—1782no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—3561no—
1309C22⋊C4—3561no—
1310C22⋊C4—3561no—
1311C22⋊C4—3561no—
1312C22⋊C4—3561no—
1313C22⋊C4—3561no—
1314C22⋊C4—3561no—
1315C22⋊C4—3561no—
1316C22⋊C4—3561no—
1317C22⋊C4—3561no—
1318C22⋊C4—3561no—
1319C22⋊C4—3561no—
1320C22⋊C4—3561no—
1321C22⋊C4—3561no—
1322C22⋊C4—3561no—
1323C22⋊C4—3561no—
1324C22⋊C4—3561no—
1325C22⋊C4—3561no—
1326C22⋊C4—3561no—
1327C22⋊C4—3561no—
1328C22⋊C4—3561no—
1329C22⋊C4—3561no—
1330C22⋊C4—3561no—
1331C22⋊C4—3561no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—1782no—
1340C22⋊C4—1782no—
1341C22⋊C4—1782no—
1342C22⋊C4—1782no—
1343C22⋊C4—1782no—
1344C22⋊C4—1782no—
1345C22⋊C4—1782no—
1346C22⋊C4—1782no—
1347C22⋊C4—1782no—
1348C22⋊C4—1782no—
1349C22⋊C4—1782no—
1350C22⋊C4—1782no—
1351C42—22no—
1352C42—3561no—
1353C42—3561no—
1354C42—3561no—
1355C42—3561no—
1356C42—3561no—
1357C42—1782no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—892no—
1379C23—892no—
1380C23—892no—
1381C23—892no—
1382C23—3564no—
1383C23—3564no—
1384C23—3564no—
1385C23—1788no—
1386C23—1781no—
1387C23—1781no—
1388C23—1781no—
1389C23—1781no—
1390C23—1781no—
1391C23—1781no—
1392C23—1781no—
1393C23—1781no—
1394C23—1781no—
1395C23—1781no—
1396C23—1781no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1781no—
1401C23—1781no—
1402C23—1781no—
1403C23—7122no—
1404C23—7122no—
1405C23—7122no—
1406C23—7122no—
1407C23—7122no—
1408C23—7122no—
1409C23—7122no—
1410C23—7122no—
1411C23—7122no—
1412C23—7122no—
1413C23#41×D8912yes—
1414C23C24×D8911yescharacteristic
1415Q8—7122no—
1416D4—44no—
1417D4—82no—
1418D4—82no—
1419D4—3564no—
1420D4—3564no—
1421D4—3564no—
1422D4—3564no—
1423D4—7122no—
1424D4—7122no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—3564no—
1463C2×C4—3564no—
1464C2×C4—3564no—
1465C2×C4—3564no—
1466C2×C4—3564no—
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—1781no—
1476C2×C4—1781no—
1477C2×C4—1781no—
1478C2×C4—1781no—
1479C2×C4—1781no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
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—7122no—
1507C2×C4—7122no—
1508C2×C4—7122no—
1509C2×C4#1566805812yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—894no—
1532C22—3561no—
1533C22—3561no—
1534C22—3561no—
1535C22—3561no—
1536C22—3561no—
1537C22—3561no—
1538C22—3561no—
1539C22—3561no—
1540C22—3561no—
1541C22—3561no—
1542C22—3561no—
1543C22—1782no—
1544C22—1782no—
1545C22—1782no—
1546C22—1782no—
1547C22—1782no—
1548C22—1782no—
1549C22—1782no—
1550C22—1782no—
1551C22—1782no—
1552C22—7128no—
1553C22—7128no—
1554C22C2×#41×D8911yescharacteristic
1555C22H(5,𝔽2)×D8911yescharacteristic
1556C22H(5,𝔽2)×D8911yescharacteristic
1557C22C2×#1566805811yescharacteristic
1558C22#1915243311yescharacteristic
1559C22#1915243311yescharacteristic
1560C22#1915243411yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—3561no—
1574C4—3561no—
1575C4—3561no—
1576C4—3561no—
1577C4—3561no—
1578C4—3561no—
1579C4—3561no—
1580C4—3561no—
1581C4—3561no—
1582C4—3561no—
1583C4—3561no—
1584C4—3561no—
1585C4—3561no—
1586C2—42no—
1587C2—81no—
1588C2—81no—
1589C2—3562no—
1590C2—1784no—
1591C2—7121no—
1592C2#538×D8911yescharacteristic
1593C2#2603394311yescharacteristic
1594C2#2603408111yescharacteristic
1595C2#2603444511yescharacteristic
1596C2#2603457411yescharacteristic
1597C2#2603460311yescharacteristic
1598C2#2603480211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2749C2
prime radical#26023619C2
hypercenter#2749D89
hypocenterC89#36779
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2749

Complements

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

NH ≅ G/Ntype
1. #26028568C2semidirect
2. #26028552C2semidirect
3. #26027917C2semidirect
4. #26027909C2semidirect
5. #26027870C2semidirect
6. #26027692C2semidirect
7. #26027674C2semidirect
8. #26027638C2semidirect
9. #26027568C2semidirect
10. #26027391C2semidirect
11. #26027371C2semidirect
12. #26027292C2semidirect
13. #26027287C2semidirect
14. #26027251C2semidirect
15. #26026881C2semidirect
16. #26026644C2semidirect
17. #26026631C2semidirect
18. #26026031C2semidirect
19. #26025999C2semidirect
20. #26024805C2semidirect
21. #26024579C2semidirect
22. #26024001C2semidirect
23. #26023916C2semidirect
24. #26023802C2semidirect
25. #26023647C2semidirect
27. #26023574C2semidirect
28. #26022908C2semidirect
29. #26022826C2semidirect
30. #388×D89C2semidirect
31. C89×#2749C2semidirect
33. C2×#15668006C22semidirect
34. C2×#15667999C22semidirect
37. C2×#15667994C22semidirect
38. C2×#15667992C22semidirect
39. C2×#15667989C22semidirect
44. C2×C4×C22⋊D89C22semidirect
45. C2×C4⋊C4×D89C22semidirect
50. C2×C42×D89C22semidirect
51. C89⋊#401C22semidirect
52. #19151540C22semidirect
53. #19151540C22semidirect
54. #19151540C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
58. #19151534C22semidirect
59. #19151534C22semidirect
60. #19151532C22semidirect
61. #19151531C22semidirect
62. #19151530C22semidirect
63. #19151530C22semidirect
64. #19151529C22semidirect
66. #19151527C22semidirect
67. #19151526C22semidirect
68. #19151526C22semidirect
70. #19151525C22semidirect
71. #19151523C22semidirect
72. #19151523C22semidirect
73. #19151521C22semidirect
74. #19151521C22semidirect
77. #19151520C22semidirect
78. #19151520C22semidirect
82. #19151514C22semidirect
83. #19151514C22semidirect
86. #19151513C22semidirect
89. #19151512C22semidirect
91. #19151511C22semidirect
93. #19151504C22semidirect
94. #19151502C22semidirect
95. #19151501C22semidirect
97. #19151495C22semidirect
98. #19151492C22semidirect
99. #19151491C22semidirect
100. #19151491C22semidirect
101. #19151491C22semidirect
102. #19151491C22semidirect
103. #19151491C22semidirect
104. #19151491C22semidirect
105. #19151491C22semidirect
108. #19151490C22semidirect
109. #19151490C22semidirect
110. #19151490C22semidirect
111. #19151490C22semidirect
114. #19151488C22semidirect
117. #19151487C22semidirect
118. #19151486C22semidirect
119. #19151486C22semidirect
120. #19151486C22semidirect
121. #19151486C22semidirect
122. #19151484C22semidirect
123. #19151483C22semidirect
124. #19151483C22semidirect
125. #19151483C22semidirect
126. #19151481C22semidirect
128. #19151478C22semidirect
131. #19151477C22semidirect
142. #19151474C22semidirect
143. #19151474C22semidirect
144. #19151473C22semidirect
147. #19151472C22semidirect
148. #19151472C22semidirect
149. #19151472C22semidirect
150. #19151472C22semidirect
152. #19151465C22semidirect
153. #19151463C22semidirect
154. #19151463C22semidirect
157. #19151460C22semidirect
158. #19151458C22semidirect
159. #19151458C22semidirect
160. #19151458C22semidirect
161. #19151456C22semidirect
162. #19151455C22semidirect
169. #19151445C22semidirect
170. #95×D89C22semidirect
171. #95×D89C22semidirect
172. #400×C89C22semidirect
173. #397×C89C22semidirect
174. #397×C89C22semidirect
175. #396×C89C22semidirect
178. #390×C89C22semidirect
179. #388×C89C22semidirect
181. #386×C89C22semidirect
182. #386×C89C22semidirect
183. #386×C89C22semidirect
184. #385×C89C22semidirect
185. #383×C89C22semidirect
186. #381×C89C22semidirect
809. #2749D89semidirect
831. C89#36779semidirect
857. #400C2×D89semidirect
874. #397C2×D89semidirect
875. #397C2×D89semidirect
882. #396C2×D89semidirect
903. #390C2×D89semidirect
929. #388C2×D89semidirect
953. #386C2×D89semidirect
954. #386C2×D89semidirect
955. #386C2×D89semidirect
964. #385C2×D89semidirect
966. #383C2×D89semidirect
972. #381C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285682
#260285522
#260279172
#260279092
#260278702
#260276922
#260276742
#260276382
#260275682
#260273912
#260273712
#260272922
#260272872
#260272512
#260268812
#260266442
#260266312
#260260312
#260259992
#260248052
#260245792
#260240012
#260239162
#260238022
#260236472
#260236192
#260235742
#260229082
#260228262
#388×D892
C89×#27492
#3677989