Finite Group Databasebeta

← #36727252

Subgroups — #36727252

Order 22784.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028580C211yesmaximal, characteristic, complemented
2#26028577C211yesmaximal, characteristic, complemented
3#26028553C211yesmaximal, characteristic, complemented
4#26026319C211yesmaximal, characteristic, complemented
5#26026253C211yesmaximal, characteristic, complemented
6#26026246C211yesmaximal, characteristic, complemented
7#26026238C211yesmaximal, characteristic, complemented
8#26024915C211yesmaximal, characteristic, complemented
9#26024914C211yesmaximal, characteristic, complemented
10#26024819C211yesmaximal, characteristic, complemented
11#26024818C211yesmaximal, characteristic, complemented
12#26024750C211yesmaximal, characteristic, complemented
13#26024576C211yesmaximal, characteristic, complemented
14#26024494C211yesmaximal, characteristic, complemented
15#26024382C211yesmaximal, characteristic, complemented
16#26024299C211yesmaximal, characteristic, complemented
17#26024193C211yesmaximal, characteristic, complemented
18#26024008C211yesmaximal, characteristic, complemented
19#26023917C211yesmaximal, characteristic, complemented
20#26023801C211yesmaximal, characteristic, complemented
21#26023646C211yesmaximal, characteristic, complemented
22#26023625C211yesmaximal, characteristic
23#26023578C211yesmaximal, characteristic, complemented
24#26022979C211yesmaximal, characteristic, complemented
25#26022905C211yesmaximal, characteristic, complemented
26#26022884C211yesmaximal, characteristic, complemented
27#26022846C211yesmaximal, characteristic, complemented
28#26022753C211yesmaximal, characteristic, complemented
29#386×D89C211yesmaximal, characteristic, complemented
30C2×C4×#13083551C211yesmaximal, characteristic, complemented
31C89×#2852C211yesmaximal, characteristic, complemented
32C22×D4×D89C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668000C2211yescharacteristic, complemented
35C2×#15667996C2211yescharacteristic
36C2×#15667996C2211yescharacteristic, complemented
37C2×#15667993C2211yescharacteristic
38C2×#15667991C2211yescharacteristic, complemented
39C2×#15667990C2211yescharacteristic
40C2×#15667986C2211yescharacteristic
41C2×#15667984C2211yescharacteristic
42C2×#15667982C2211yescharacteristic
43C2×#15667982C2211yescharacteristic
44C2×#15667974C2211yescharacteristic
45C2×#15667974C2211yescharacteristic, complemented
46C2×#15667972C2211yescharacteristic, complemented
47C22×#13083551C2211yescharacteristic
48C22×#13083551C2211yescharacteristic
49C2×C22⋊C4×D89C2211yescharacteristic
50C2×C22⋊C4×D89C2211yescharacteristic
51C2×C22⋊C4×D89C2211yescharacteristic
52C22×C4×Dic89C2211yescharacteristic, complemented
53C89⋊#401C2211yescharacteristic, complemented
54#19151540C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151536C2211yescharacteristic, complemented
58#19151533C2211yescharacteristic, complemented
59#19151530C2211yescharacteristic, complemented
60#19151527C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151525C2211yescharacteristic, complemented
65#19151525C2211yescharacteristic, complemented
66#19151525C2211yescharacteristic, complemented
67#19151524C2211yescharacteristic, complemented
68#19151522C2211yescharacteristic, complemented
69#19151520C2211yescharacteristic, complemented
70#19151520C2211yescharacteristic, complemented
71#19151516C2211yescharacteristic
72#19151516C2211yescharacteristic
73#19151516C2211yescharacteristic
74#19151515C2211yescharacteristic, complemented
75#19151515C2211yescharacteristic, complemented
76#19151515C2211yescharacteristic, complemented
77#19151514C2211yescharacteristic
78#19151514C2211yescharacteristic
79#19151514C2211yescharacteristic
80#19151513C2211yescharacteristic, complemented
81#19151511C2211yescharacteristic, complemented
82#19151510C2211yescharacteristic, complemented
83#19151508C2211yescharacteristic
84#19151507C2211yescharacteristic
85#19151504C2211yescharacteristic, complemented
86#19151502C2211yescharacteristic, complemented
87#19151500C2211yescharacteristic, complemented
88#19151498C2211yescharacteristic, complemented
89#19151498C2211yescharacteristic, complemented
90#19151497C2211yescharacteristic, complemented
91#19151495C2211yescharacteristic, complemented
92#19151495C2211yescharacteristic, complemented
93#19151492C2211yescharacteristic, complemented
94#19151491C2211yescharacteristic, complemented
95#19151491C2211yescharacteristic, complemented
96#19151491C2211yescharacteristic, complemented
97#19151490C2211yescharacteristic, complemented
98#19151489C2211yescharacteristic, complemented
99#19151489C2211yescharacteristic, complemented
100#19151489C2211yescharacteristic, complemented
101#19151489C2211yescharacteristic, complemented
102#19151488C2211yescharacteristic, complemented
103#19151488C2211yescharacteristic, complemented
104#19151488C2211yescharacteristic, complemented
105#19151487C2211yescharacteristic, complemented
106#19151487C2211yescharacteristic, complemented
107#19151487C2211yescharacteristic, complemented
108#19151487C2211yescharacteristic, complemented
109#19151487C2211yescharacteristic, complemented
110#19151486C2211yescharacteristic, complemented
111#19151485C2211yescharacteristic, complemented
112#19151485C2211yescharacteristic, complemented
113#19151484C2211yescharacteristic, complemented
114#19151484C2211yescharacteristic, complemented
115#19151480C2211yescharacteristic, complemented
116#19151479C2211yescharacteristic, complemented
117#19151478C2211yescharacteristic
118#19151477C2211yescharacteristic
119#19151477C2211yescharacteristic
120#19151477C2211yescharacteristic, complemented
121#19151477C2211yescharacteristic, complemented
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic
127#19151476C2211yescharacteristic
128#19151476C2211yescharacteristic, complemented
129#19151476C2211yescharacteristic, complemented
130#19151475C2211yescharacteristic
131#19151475C2211yescharacteristic
132#19151474C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic, complemented
135#19151472C2211yescharacteristic
136#19151472C2211yescharacteristic
137#19151472C2211yescharacteristic
138#19151472C2211yescharacteristic
139#19151470C2211yescharacteristic, complemented
140#19151469C2211yescharacteristic
141#19151469C2211yescharacteristic
142#19151469C2211yescharacteristic, complemented
143#19151465C2211yescharacteristic, complemented
144#19151464C2211yescharacteristic, complemented
145#19151462C2211yescharacteristic, complemented
146#19151460C2211yescharacteristic, complemented
147#19151459C2211yescharacteristic, complemented
148#19151457C2211yescharacteristic
149#19151456C2211yescharacteristic, complemented
150#19151455C2211yescharacteristic
151#19151455C2211yescharacteristic
152#19151455C2211yescharacteristic, complemented
153#19151453C2211yescharacteristic
154#19151453C2211yescharacteristic
155#19151453C2211yescharacteristic
156#19151453C2211yescharacteristic
157C22⋊C4×Dic89C2211yescharacteristic, complemented
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic
160C4×#13083551C2211yescharacteristic
161C4×#13083551C2211yescharacteristic
162C4×#13083551C2211yescharacteristic, complemented
163C4×#13083551C2211yescharacteristic, complemented
164C4×#13083551C2211yescharacteristic, complemented
165C4×#13083551C2211yescharacteristic, complemented
166#19151445C2211yescharacteristic
167#19151445C2211yescharacteristic, complemented
168C2×#15667919C2211yescharacteristic, complemented
169C2×#15667919C2211yescharacteristic, complemented
170#95×D89C2211yescharacteristic
171#95×D89C2211yescharacteristic
172C2×#126×C89C2211yescharacteristic, complemented
173C22×C42×C89C2211yescharacteristic, complemented
174#388×C89C2211yescharacteristic, complemented
175#388×C89C2211yescharacteristic, complemented
176#388×C89C2211yescharacteristic, complemented
177#387×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic, complemented
185#385×C89C2211yescharacteristic, complemented
186#383×C89C2211yescharacteristic, complemented
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C2×D4×D89—24no—
199C2×D4×D89—42no—
200C2×D4×D89—42no—
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C22×C4×D89—24no—
205C22×C4×D89—42no—
206C22×C4×D89—42no—
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15668000—42no—
216#15667996—42no—
217#15667996—42no—
218#15667993—42no—
219#15667991—42no—
220#15667990—24no—
221#15667986—42no—
222#15667984—42no—
223#15667982—24no—
224#15667982—24no—
225#15667974—24no—
226#15667974—42no—
227#15667972—42no—
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×#13083551—24no—
252C2×#13083551—24no—
253C2×#13083551C2311yescharacteristic
254C2×#13083551C2311yescharacteristic
255C2×#13083551C2311yescharacteristic
256C2×#13083551C2311yescharacteristic
257C2×#13083551C2311yescharacteristic
258C2×#13083551C2311yescharacteristic
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C22⋊C4×D89—24no—
290C22⋊C4×D89—42no—
291C22⋊C4×D89—42no—
292C2×C4×Dic89—42no—
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
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
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C23×C4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336#126×C89—42no—
337C2×C4⋊C4×C89C2311yescharacteristic
338C2×C4⋊C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89C2311yescharacteristic
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C22⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C42×C89—42no—
353C2×C42×C89C2311yescharacteristic
354C2×C42×C89C2311yescharacteristic
355C2×C42×C89C2311yescharacteristic
356C2×C42×C89C2311yescharacteristic
357#95×C89C2311yescharacteristic
358#95×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—22no—
374C23×D89—22no—
375C23×D89—22no—
376C23×D89—41no—
377C23×D89—41no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89#4114yes—
383C23×D89C2411yescharacteristic
384C23×D89C2411yescharacteristic
385C23×D89C2411yescharacteristic
386C23×D89C2411yescharacteristic
387C2×Dic178—22no—
388C2×Dic178—41no—
389C2×Dic178—41no—
390C2×D356—22no—
391C2×D356—22no—
392C2×D356—22no—
393C2×D356—22no—
394C2×D356—22no—
395C2×D356—22no—
396C2×D356—41no—
397C2×D356—41no—
398C2×D356—41no—
399C2×D356—41no—
400C2×D356—41no—
401C2×D356—41no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—22no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414D4×D89—416no—
415C22×Dic89—22no—
416C22×Dic89—22no—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—416no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
460C2×C4×D89#4114yes—
461C4⋊Dic89—41no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465C4⋊Dic89—41no—
466C4⋊Dic89—41no—
467#13083553—22no—
468#13083553—22no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476#13083553—41no—
477C22⋊Dic89—22no—
478C22⋊Dic89—22no—
479C22⋊Dic89—22no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484#13083551—22no—
485#13083551—22no—
486#13083551—22no—
487#13083551—22no—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—22no—
499#13083551—22no—
500#13083551—22no—
501#13083551—41no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551#4114yes—
520C4×Dic89—22no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C24×C89C2411yescharacteristic
528C24×C89C2411yescharacteristic
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—22no—
532C22×C4×C89—22no—
533C22×C4×C89—22no—
534C22×C4×C89—22no—
535C22×C4×C89—22no—
536C22×C4×C89—22no—
537C22×C4×C89—22no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C4⋊C4×C89—22no—
555C4⋊C4×C89—22no—
556C4⋊C4×C89—22no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C42×C89—22no—
570C42×C89—22no—
571C42×C89—41no—
572C42×C89—41no—
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×C89C2×#4112yes—
585C23×C89H(5,𝔽2)12yes—
586C23×C89H(5,𝔽2)12yes—
587C23×C89C2511yescharacteristic
588C22×D89—21no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—21no—
592C22×D89—28no—
593C22×D89—21no—
594C22×D89—21no—
595C22×D89—21no—
596C22×D89—21no—
597C22×D89—21no—
598C22×D89—21no—
599C22×D89—28no—
600C22×D89—21no—
601C22×D89—21no—
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—44no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89—44no—
619C22×D89—44no—
620C22×D89—44no—
621C22×D89—44no—
622C22×D89—82no—
623C22×D89—82no—
624C22×D89—82no—
625C22×D89—82no—
626C22×D89C2×#4112yes—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629C22×D89C2×#4112yes—
630D4×C89—44no—
631C2×C4×C89—28no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—44no—
669C2×C4×C89—44no—
670C2×C4×C89C2×#4112yes—
671C2×C4×C89C2×#4112yes—
672C2×C4×C89H(5,𝔽2)12yes—
673C22⋊D89—44no—
674C22⋊D89—44no—
675C22⋊D89—44no—
676C22⋊D89—82no—
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—44no—
712C2×Dic89—44no—
713C2×Dic89—44no—
714C2×Dic89C2×#4112yes—
715C2×Dic89C2×#4112yes—
716D356—44no—
717D356—44no—
718D356—44no—
719D356—82no—
720C4×D89—44no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—44no—
725C4×D89—82no—
726C4×D89—82no—
727C4×D89—82no—
728Dic178—82no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89#53814yes—
743C22×C89C22×#4111yescharacteristic
744C22×C89C22×#4111yescharacteristic
745C22×C89C22×#4111yescharacteristic
746C22×C89C2×H(5,𝔽2)11yescharacteristic
747C22×C89C2×H(5,𝔽2)11yescharacteristic
748C22×C89C2×H(5,𝔽2)11yescharacteristic
749C22×C89#58511yescharacteristic
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—22no—
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—416no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C2×D89—41no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—88no—
779C2×D89#52914yes—
780C4×C89—22no—
781C4×C89—22no—
782C4×C89—22no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789C4×C89—41no—
790C4×C89—41no—
791C4×C89—41no—
792C4×C89—41no—
793Dic89—22no—
794Dic89—22no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800Dic89—41no—
801Dic89—41no—
802Dic89—41no—
803Dic89—41no—
804Dic89—41no—
805#34998—891nomaximal, Sylow
806C2×C89—24no—
807C2×C89—81no—
808C2×C89C2×#52911yescharacteristic
809C2×C89C2×#53811yescharacteristic
810C2×C89#345911yescharacteristic
811C2×C89#349011yescharacteristic
812C2×C89#349411yescharacteristic
813C2×C89#351311yescharacteristic
814C2×C89#351911yescharacteristic
815D89—24no—
816D89—42no—
817D89—81no—
818D89—81no—
819#2854—891no—
820#2853—891no—
821#2852D8911yescharacteristic, complemented
822#2850—891no—
823#2653—891no—
824#2649—891no—
825#2648—891no—
826#2648—891no—
827#2518—891no—
828#2518—891no—
829#2510—891no—
830#2510—891no—
831#2505—891no—
832#2488—891no—
833#2480—891no—
834#2472—891no—
835#2467—891no—
836#2459—891no—
837#2444—891no—
838#2437—891no—
839#2425—891no—
840#2412—891no—
841#2410—891no—
842#2405—891no—
843#2329—891no—
844#2321—891no—
845#2318—891no—
846#2312—891no—
847C4×#120—891no—
848C2×#386—891no—
849C2×C4×C22⋊C4—891no—
850C89#3499811yescharacteristic, complemented, Sylow
851C23×D4—891no—
852C24×C4—891no—
853C2×#126C2×D8911yescharacteristic, complemented
854C2×#124—891no—
855C2×#123—891no—
856C2×#123—891no—
857C2×#123—891no—
858C2×C22⋊Q8—891no—
859C2×C22⋊Q8—891no—
860C2×#121—891no—
861C2×#121—891no—
862C2×#120—891no—
863C2×#120—891no—
864C2×C4×D4—891no—
865C2×C4×D4—891no—
866C2×C4×D4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4—891no—
872C22×C42—891no—
873C22×C42C2×D8911yescharacteristic, complemented
874#401—891no—
875#400—891no—
876#400—891no—
877#400—891no—
878#400—891no—
879#399—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#396—891no—
890#396—891no—
891#396—891no—
892#394—891no—
893#394—891no—
894#394—891no—
895#394—891no—
896#394—891no—
897#394—891no—
898#394—891no—
899#394—891no—
900#394—891no—
901#394—891no—
902#393—891no—
903#393—891no—
904#392—891no—
905#392—891no—
906#391—891no—
907#391—891no—
908#390—891no—
909#390—891no—
910#390—891no—
911#389—891no—
912#389—891no—
913#389—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#388—891no—
930#388—891no—
931#388—891no—
932#388C2×D8911yescharacteristic, complemented
933#388C2×D8911yescharacteristic, complemented
934#388C2×D8911yescharacteristic, complemented
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387C2×D8911yescharacteristic, complemented
942#387C2×D8911yescharacteristic, complemented
943#387C2×D8911yescharacteristic, complemented
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#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386C2×D8911yescharacteristic
963#386C2×D8911yescharacteristic
964#386C2×D8911yescharacteristic
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385C2×D8911yescharacteristic, complemented
974#385C2×D8911yescharacteristic, complemented
975#385C2×D8911yescharacteristic, complemented
976#383—891no—
977#383C2×D8911yescharacteristic, complemented
978#382—891no—
979#382—891no—
980#381—891no—
981#381—891no—
982#380—891no—
983#380—891no—
984#380—891no—
985#380—891no—
986#380—891no—
987#379—891no—
988#379—891no—
989#379—891no—
990#379—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C2×#95—891no—
1003C2×#95—891no—
1004C2×#95—891no—
1005C2×#95—891no—
1006C25—891no—
1007C25—891no—
1008C22×Q8—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4—891no—
1017C22×D4—3562no—
1018C22×D4—3562no—
1019C22×D4—1784no—
1020C22×D4C22×D8911yescharacteristic
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—891no—
1031C23×C4—891no—
1032C23×C4—3562no—
1033C23×C4—3562no—
1034C23×C4—1784no—
1035C23×C4C22×D8911yescharacteristic
1036C23×C4C22×D8911yescharacteristic
1037C23×C4C22×D8911yescharacteristic
1038#126—42no—
1039#124—3562no—
1040#123—3562no—
1041#123—3562no—
1042#123—3562no—
1043C22⋊Q8—3562no—
1044C22⋊Q8—1784no—
1045#121—3562no—
1046#121—3562no—
1047#120—1784no—
1048#120—1784no—
1049C4×D4—3562no—
1050C4×D4—3562no—
1051C4×D4—1784no—
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⋊C4C22×D8911yescharacteristic
1069C2×C4⋊C4C22×D8911yescharacteristic
1070C2×C4⋊C4C22×D8911yescharacteristic
1071C2×C4⋊C4C22×D8911yescharacteristic
1072C2×C4⋊C4C22×D8911yescharacteristic
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C22⋊C4—891no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—3562no—
1118C2×C22⋊C4—3562no—
1119C2×C22⋊C4—1784no—
1120C2×C22⋊C4—1784no—
1121C2×C22⋊C4—1784no—
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C42—42no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—3562no—
1140C2×C42C22×D8911yescharacteristic
1141C2×C42C22×D8911yescharacteristic
1142C2×C42C22×D8911yescharacteristic
1143C2×C42C22×D8911yescharacteristic
1144#95—891no—
1145#95—891no—
1146#95—891no—
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#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183#95C22×D8911yescharacteristic
1184#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
1188C24—891no—
1189C24—894no—
1190C24—891no—
1191C24—891no—
1192C24—891no—
1193C24—3561no—
1194C24—3561no—
1195C24—3561no—
1196C24—3561no—
1197C24—3561no—
1198C24—3561no—
1199C24—1782no—
1200C24—1782no—
1201C24—1782no—
1202C24—1782no—
1203C24—1782no—
1204C24—1782no—
1205C24—1782no—
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—3561no—
1209C2×Q8—3561no—
1210C2×Q8—1782no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—3561no—
1215C2×D4—3561no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—3561no—
1220C2×D4—35616no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—894no—
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—891no—
1260C22×C4—891no—
1261C22×C4—35616no—
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—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—3561no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—894no—
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—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
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—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C42—22no—
1382C42—22no—
1383C42—41no—
1384C42—41no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—3561no—
1390C42—3561no—
1391C42—1782no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—892no—
1404C23—892no—
1405C23—892no—
1406C23—892no—
1407C23—3564no—
1408C23—3564no—
1409C23—3564no—
1410C23—3564no—
1411C23—3564no—
1412C23—3564no—
1413C23—3564no—
1414C23—3564no—
1415C23—1788no—
1416C23—1781no—
1417C23—1781no—
1418C23—1781no—
1419C23—1781no—
1420C23—1781no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1788no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—7122no—
1442C23—7122no—
1443C23—7122no—
1444C23—7122no—
1445C23#41×D8912yes—
1446C23#1566805812yes—
1447C23#1566805812yes—
1448C23C24×D8911yescharacteristic
1449Q8—7122no—
1450D4—44no—
1451D4—3564no—
1452D4—3564no—
1453D4—3564no—
1454D4—3564no—
1455D4—3564no—
1456D4—3564no—
1457D4—7122no—
1458D4—7122no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—892no—
1499C2×C4—892no—
1500C2×C4—3564no—
1501C2×C4—3564no—
1502C2×C4—3564no—
1503C2×C4—3564no—
1504C2×C4—3564no—
1505C2×C4—3564no—
1506C2×C4—3564no—
1507C2×C4—3564no—
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—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—7122no—
1543C2×C4—7122no—
1544C2×C4—7122no—
1545C2×C4#41×D8912yes—
1546C2×C4#41×D8912yes—
1547C2×C4#1566805712yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—894no—
1562C22—35616no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—3561no—
1573C22—3561no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22—1782no—
1582C22—1782no—
1583C22—1782no—
1584C22—1782no—
1585C22—1782no—
1586C22—1782no—
1587C22—1782no—
1588C22—1782no—
1589C22—1782no—
1590C22—7128no—
1591C22#1915218714yes—
1592C22C2×#41×D8911yescharacteristic
1593C22C2×#41×D8911yescharacteristic
1594C22C2×#41×D8911yescharacteristic
1595C22C2×#1566805711yescharacteristic
1596C22C2×#1566805811yescharacteristic
1597C22C2×#1566805811yescharacteristic
1598C22#1915243411yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—3561no—
1613C4—3561no—
1614C4—3561no—
1615C4—3561no—
1616C4—3561no—
1617C4—3561no—
1618C4—3561no—
1619C4—3561no—
1620C4—3561no—
1621C4—3561no—
1622C4—1782no—
1623C4—1782no—
1624C2—24no—
1625C2—81no—
1626C2—3562no—
1627C2—1784no—
1628C2—7121no—
1629C2—7121no—
1630C2#529×D8911yescharacteristic
1631C2C2×#1915218711yescharacteristic
1632C2#2603365911yescharacteristic
1633C2#2603393511yescharacteristic
1634C2#2603397511yescharacteristic
1635C2#2603419611yescharacteristic
1636C2#2603427211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2852C2
prime radical#26023625C2
hypercenter#2852D89
hypocenterC89#34998
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. #26028580C2semidirect
2. #26028577C2semidirect
3. #26028553C2semidirect
4. #26026319C2semidirect
5. #26026253C2semidirect
6. #26026246C2semidirect
7. #26026238C2semidirect
8. #26024915C2semidirect
9. #26024914C2semidirect
10. #26024819C2semidirect
11. #26024818C2semidirect
12. #26024750C2semidirect
13. #26024576C2semidirect
14. #26024494C2semidirect
15. #26024382C2semidirect
16. #26024299C2semidirect
17. #26024193C2semidirect
18. #26024008C2semidirect
19. #26023917C2semidirect
20. #26023801C2semidirect
21. #26023646C2semidirect
23. #26023578C2semidirect
24. #26022979C2semidirect
25. #26022905C2semidirect
26. #26022884C2semidirect
27. #26022846C2semidirect
28. #26022753C2semidirect
29. #386×D89C2semidirect
30. C2×C4×#13083551C2semidirect
31. C89×#2852C2semidirect
34. C2×#15668000C22semidirect
36. C2×#15667996C22semidirect
38. C2×#15667991C22semidirect
45. C2×#15667974C22semidirect
46. C2×#15667972C22semidirect
52. C22×C4×Dic89C22semidirect
53. C89⋊#401C22semidirect
54. #19151540C22semidirect
55. #19151539C22semidirect
56. #19151539C22semidirect
57. #19151536C22semidirect
58. #19151533C22semidirect
59. #19151530C22semidirect
60. #19151527C22semidirect
61. #19151527C22semidirect
62. #19151526C22semidirect
63. #19151526C22semidirect
64. #19151525C22semidirect
65. #19151525C22semidirect
66. #19151525C22semidirect
67. #19151524C22semidirect
68. #19151522C22semidirect
69. #19151520C22semidirect
70. #19151520C22semidirect
74. #19151515C22semidirect
75. #19151515C22semidirect
76. #19151515C22semidirect
80. #19151513C22semidirect
81. #19151511C22semidirect
82. #19151510C22semidirect
85. #19151504C22semidirect
86. #19151502C22semidirect
87. #19151500C22semidirect
88. #19151498C22semidirect
89. #19151498C22semidirect
90. #19151497C22semidirect
91. #19151495C22semidirect
92. #19151495C22semidirect
93. #19151492C22semidirect
94. #19151491C22semidirect
95. #19151491C22semidirect
96. #19151491C22semidirect
97. #19151490C22semidirect
98. #19151489C22semidirect
99. #19151489C22semidirect
100. #19151489C22semidirect
101. #19151489C22semidirect
102. #19151488C22semidirect
103. #19151488C22semidirect
104. #19151488C22semidirect
105. #19151487C22semidirect
106. #19151487C22semidirect
107. #19151487C22semidirect
108. #19151487C22semidirect
109. #19151487C22semidirect
110. #19151486C22semidirect
111. #19151485C22semidirect
112. #19151485C22semidirect
113. #19151484C22semidirect
114. #19151484C22semidirect
115. #19151480C22semidirect
116. #19151479C22semidirect
120. #19151477C22semidirect
121. #19151477C22semidirect
128. #19151476C22semidirect
129. #19151476C22semidirect
134. #19151474C22semidirect
139. #19151470C22semidirect
142. #19151469C22semidirect
143. #19151465C22semidirect
144. #19151464C22semidirect
145. #19151462C22semidirect
146. #19151460C22semidirect
147. #19151459C22semidirect
149. #19151456C22semidirect
152. #19151455C22semidirect
157. C22⋊C4×Dic89C22semidirect
162. C4×#13083551C22semidirect
163. C4×#13083551C22semidirect
164. C4×#13083551C22semidirect
165. C4×#13083551C22semidirect
167. #19151445C22semidirect
168. C2×#15667919C22semidirect
169. C2×#15667919C22semidirect
172. C2×#126×C89C22semidirect
173. C22×C42×C89C22semidirect
174. #388×C89C22semidirect
175. #388×C89C22semidirect
176. #388×C89C22semidirect
177. #387×C89C22semidirect
178. #387×C89C22semidirect
179. #387×C89C22semidirect
183. #385×C89C22semidirect
184. #385×C89C22semidirect
185. #385×C89C22semidirect
186. #383×C89C22semidirect
821. #2852D89semidirect
850. C89#34998semidirect
853. C2×#126C2×D89semidirect
873. C22×C42C2×D89semidirect
932. #388C2×D89semidirect
933. #388C2×D89semidirect
934. #388C2×D89semidirect
941. #387C2×D89semidirect
942. #387C2×D89semidirect
943. #387C2×D89semidirect
973. #385C2×D89semidirect
974. #385C2×D89semidirect
975. #385C2×D89semidirect
977. #383C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285802
#260285772
#260285532
#260263192
#260262532
#260262462
#260262382
#260249152
#260249142
#260248192
#260248182
#260247502
#260245762
#260244942
#260243822
#260242992
#260241932
#260240082
#260239172
#260238012
#260236462
#260236252
#260235782
#260229792
#260229052
#260228842
#260228462
#260227532
#386×D892
C2×C4×#130835512
C89×#28522
#3499889