Finite Group Databasebeta

← #36727243

Subgroups — #36727243

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#26028585C211yesmaximal, characteristic, complemented
2#26028576C211yesmaximal, characteristic, complemented
3#26028570C211yesmaximal, characteristic, complemented
4#26028554C211yesmaximal, characteristic, complemented
5#26026314C211yesmaximal, characteristic, complemented
6#26026254C211yesmaximal, characteristic, complemented
7#26026239C211yesmaximal, characteristic, complemented
8#26026239C211yesmaximal, characteristic, complemented
9#26024909C211yesmaximal, characteristic, complemented
10#26024906C211yesmaximal, characteristic, complemented
11#26024813C211yesmaximal, characteristic, complemented
12#26024812C211yesmaximal, characteristic, complemented
13#26024579C211yesmaximal, characteristic, complemented
14#26024500C211yesmaximal, characteristic, complemented
15#26024378C211yesmaximal, characteristic, complemented
16#26024301C211yesmaximal, characteristic, complemented
17#26024193C211yesmaximal, characteristic, complemented
18#26024003C211yesmaximal, characteristic, complemented
19#26023916C211yesmaximal, characteristic, complemented
20#26023796C211yesmaximal, characteristic, complemented
21#26023645C211yesmaximal, characteristic, complemented
22#26023624C211yesmaximal, characteristic
23#26023581C211yesmaximal, characteristic, complemented
24#26022983C211yesmaximal, characteristic, complemented
25#26022909C211yesmaximal, characteristic, complemented
26#26022880C211yesmaximal, characteristic, complemented
27#26022849C211yesmaximal, characteristic, complemented
28#26022753C211yesmaximal, characteristic, complemented
29C2×#19151476C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D89C211yesmaximal, characteristic, complemented
31C89×#2505C211yesmaximal, characteristic, complemented
32C23×D356C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15668000C2211yescharacteristic, complemented
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667997C2211yescharacteristic, complemented
39C2×#15667992C2211yescharacteristic, complemented
40C2×#15667989C2211yescharacteristic
41C2×#15667987C2211yescharacteristic
42C2×#15667987C2211yescharacteristic
43C2×#15667982C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667974C2211yescharacteristic, complemented
46C2×#15667974C2211yescharacteristic, complemented
47C2×#15667972C2211yescharacteristic
48C22×#13083551C2211yescharacteristic
49C22×#13083551C2211yescharacteristic
50C22×#13083551C2211yescharacteristic
51C2×C22⋊C4×D89C2211yescharacteristic
52C2×C22⋊C4×D89C2211yescharacteristic
53C2×C42×D89C2211yescharacteristic, complemented
54C2×C42×D89C2211yescharacteristic, complemented
55C89⋊#401C2211yescharacteristic, complemented
56#19151540C2211yescharacteristic, complemented
57#19151535C2211yescharacteristic, complemented
58#19151527C2211yescharacteristic, complemented
59#19151527C2211yescharacteristic, complemented
60#19151527C2211yescharacteristic, complemented
61#19151525C2211yescharacteristic, complemented
62#19151525C2211yescharacteristic, complemented
63#19151525C2211yescharacteristic, complemented
64#19151524C2211yescharacteristic, complemented
65#19151524C2211yescharacteristic, complemented
66#19151520C2211yescharacteristic, complemented
67#19151520C2211yescharacteristic, complemented
68#19151520C2211yescharacteristic, complemented
69#19151516C2211yescharacteristic
70#19151516C2211yescharacteristic
71#19151516C2211yescharacteristic, complemented
72#19151516C2211yescharacteristic, complemented
73#19151516C2211yescharacteristic, complemented
74#19151515C2211yescharacteristic
75#19151515C2211yescharacteristic
76#19151515C2211yescharacteristic
77#19151515C2211yescharacteristic
78#19151515C2211yescharacteristic, complemented
79#19151511C2211yescharacteristic, complemented
80#19151511C2211yescharacteristic, complemented
81#19151508C2211yescharacteristic
82#19151508C2211yescharacteristic
83#19151503C2211yescharacteristic, complemented
84#19151502C2211yescharacteristic, complemented
85#19151500C2211yescharacteristic, complemented
86#19151499C2211yescharacteristic, complemented
87#19151499C2211yescharacteristic, complemented
88#19151494C2211yescharacteristic, complemented
89#19151493C2211yescharacteristic, complemented
90#19151490C2211yescharacteristic, complemented
91#19151490C2211yescharacteristic, complemented
92#19151490C2211yescharacteristic, complemented
93#19151490C2211yescharacteristic, complemented
94#19151490C2211yescharacteristic, complemented
95#19151490C2211yescharacteristic, complemented
96#19151490C2211yescharacteristic, complemented
97#19151489C2211yescharacteristic, complemented
98#19151489C2211yescharacteristic, complemented
99#19151488C2211yescharacteristic, complemented
100#19151488C2211yescharacteristic, complemented
101#19151488C2211yescharacteristic, complemented
102#19151488C2211yescharacteristic, complemented
103#19151488C2211yescharacteristic, complemented
104#19151488C2211yescharacteristic, complemented
105#19151488C2211yescharacteristic, complemented
106#19151488C2211yescharacteristic, complemented
107#19151487C2211yescharacteristic, complemented
108#19151487C2211yescharacteristic, complemented
109#19151487C2211yescharacteristic, complemented
110#19151487C2211yescharacteristic, complemented
111#19151485C2211yescharacteristic, complemented
112#19151483C2211yescharacteristic, complemented
113#19151481C2211yescharacteristic, complemented
114#19151480C2211yescharacteristic, complemented
115#19151480C2211yescharacteristic, complemented
116#19151479C2211yescharacteristic, complemented
117#19151479C2211yescharacteristic, complemented
118#19151477C2211yescharacteristic
119#19151477C2211yescharacteristic
120#19151477C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151476C2211yescharacteristic
125#19151476C2211yescharacteristic
126#19151476C2211yescharacteristic
127#19151476C2211yescharacteristic
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic, complemented
134#19151476C2211yescharacteristic, complemented
135#19151476C2211yescharacteristic, complemented
136#19151476C2211yescharacteristic, complemented
137#19151476C2211yescharacteristic, complemented
138#19151475C2211yescharacteristic
139#19151473C2211yescharacteristic
140#19151472C2211yescharacteristic, complemented
141#19151472C2211yescharacteristic, complemented
142#19151471C2211yescharacteristic
143#19151469C2211yescharacteristic, complemented
144#19151469C2211yescharacteristic, complemented
145#19151469C2211yescharacteristic, complemented
146#19151465C2211yescharacteristic, complemented
147#19151465C2211yescharacteristic, complemented
148#19151463C2211yescharacteristic, complemented
149#19151460C2211yescharacteristic, complemented
150#19151460C2211yescharacteristic, complemented
151#19151458C2211yescharacteristic
152#19151456C2211yescharacteristic
153#19151455C2211yescharacteristic, complemented
154#19151455C2211yescharacteristic, complemented
155#19151453C2211yescharacteristic
156#19151453C2211yescharacteristic
157#19151453C2211yescharacteristic
158#19151453C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic
160C22⋊C4×Dic89C2211yescharacteristic
161C22⋊C4×Dic89C2211yescharacteristic
162C4×#13083551C2211yescharacteristic, complemented
163C4×#13083551C2211yescharacteristic, complemented
164C4×C22⋊Dic89C2211yescharacteristic
165#19151445C2211yescharacteristic, complemented
166#19151445C2211yescharacteristic, complemented
167#19151445C2211yescharacteristic, complemented
168#19151445C2211yescharacteristic, complemented
169C2×#15667919C2211yescharacteristic
170#95×D89C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172#400×C89C2211yescharacteristic, complemented
173#400×C89C2211yescharacteristic, complemented
174#400×C89C2211yescharacteristic, complemented
175#398×C89C2211yescharacteristic, complemented
176#389×C89C2211yescharacteristic, complemented
177#387×C89C2211yescharacteristic, complemented
178#387×C89C2211yescharacteristic, complemented
179#385×C89C2211yescharacteristic
180#385×C89C2211yescharacteristic
181#385×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#382×C89C2211yescharacteristic, complemented
184#380×C89C2211yescharacteristic
185C4×C22⋊C4×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C24×D89C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×D356—24no—
191C22×D356—42no—
192C22×D356—42no—
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
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
215C22×C4×D89C2311yescharacteristic
216#15668007—42no—
217#15668000—42no—
218#15667997—42no—
219#15667997—42no—
220#15667997—42no—
221#15667992—42no—
222#15667989—24no—
223#15667987—42no—
224#15667987—42no—
225#15667982—24no—
226#15667982—24no—
227#15667974—42no—
228#15667974—42no—
229#15667972—24no—
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×C22⋊Dic89C2311yescharacteristic
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×#13083551—24no—
246C2×#13083551—42no—
247C2×#13083551—42no—
248C2×#13083551C2311yescharacteristic
249C2×#13083551C2311yescharacteristic
250C2×#13083551C2311yescharacteristic
251C2×#13083551C2311yescharacteristic
252C2×#13083551C2311yescharacteristic
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
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C22⋊C4×D89—24no—
294C22⋊C4×D89—24no—
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C42×D89—42no—
305C42×D89—42no—
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
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
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×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C42×C89C2311yescharacteristic
352C2×C42×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
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
387C23×D89C2411yescharacteristic
388C2×Dic178—22no—
389C2×Dic178—41no—
390C2×Dic178—41no—
391C2×D356—22no—
392C2×D356—22no—
393C2×D356—22no—
394C2×D356—22no—
395C2×D356—22no—
396C2×D356—22no—
397C2×D356—22no—
398C2×D356—22no—
399C2×D356—22no—
400C2×D356—22no—
401C2×D356—22no—
402C2×D356—22no—
403C2×D356—22no—
404C2×D356—22no—
405C2×D356—41no—
406C2×D356—41no—
407C2×D356—41no—
408C2×D356—41no—
409C2×D356—41no—
410C2×D356—41no—
411C2×D356—416no—
412C2×D356—41no—
413C2×D356—41no—
414C2×D356—41no—
415C2×D356—41no—
416C2×C22⋊D89—22no—
417C2×C22⋊D89—22no—
418C2×C22⋊D89—22no—
419C22×Dic89—22no—
420C22×Dic89—41no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89#4114yes—
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—22no—
446C2×C4×D89—22no—
447C2×C4×D89—22no—
448C2×C4×D89—22no—
449C2×C4×D89—22no—
450C2×C4×D89—22no—
451C2×C4×D89—22no—
452C2×C4×D89—22no—
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—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C4⋊Dic89—22no—
465C4⋊Dic89—41no—
466C4⋊Dic89—41no—
467C4⋊Dic89—41no—
468C4⋊Dic89—41no—
469#13083553—22no—
470#13083553—22no—
471#13083553—22no—
472#13083553—41no—
473#13083553—41no—
474#13083553—41no—
475#13083553—41no—
476C22⋊Dic89—22no—
477C22⋊Dic89—22no—
478C22⋊Dic89—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—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—41no—
500#13083551—41no—
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—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524C4×Dic89—22no—
525C4×Dic89—22no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C4×Dic89—41no—
529C4×Dic89—41no—
530C4×Dic89—41no—
531C4×Dic89—41no—
532C4×Dic89—41no—
533C24×C89C2411yescharacteristic
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×C89—41no—
542C22×C4×C89—41no—
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
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C4⋊C4×C89—22no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C4⋊C4×C89—41no—
562C4⋊C4×C89—41no—
563C4⋊C4×C89—41no—
564C4⋊C4×C89—41no—
565C4⋊C4×C89—41no—
566C4⋊C4×C89—41no—
567C22⋊C4×C89—22no—
568C22⋊C4×C89—22no—
569C22⋊C4×C89—22no—
570C22⋊C4×C89#4114yes—
571C42×C89—22no—
572C42×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89C2×#4112yes—
578C23×C89C2×#4112yes—
579C23×C89C2×#4112yes—
580C23×C89C2511yescharacteristic
581C22×D89—21no—
582C22×D89—21no—
583C22×D89—21no—
584C22×D89—21no—
585C22×D89—28no—
586C22×D89—21no—
587C22×D89—21no—
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—21no—
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×D89H(5,𝔽2)12yes—
629C22×D89H(5,𝔽2)12yes—
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—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—21no—
669C2×C4×C89—44no—
670C2×C4×C89—44no—
671C2×C4×C89—82no—
672C2×C4×C89C2×#4112yes—
673C2×C4×C89C2×#4112yes—
674C2×C4×C89H(5,𝔽2)12yes—
675C22⋊D89—44no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—44no—
708C2×Dic89—82no—
709C2×Dic89C2×#4112yes—
710C2×Dic89C2×#4112yes—
711D356—44no—
712D356—44no—
713D356—44no—
714D356—44no—
715D356—44no—
716D356—44no—
717D356—82no—
718D356—82no—
719C4×D89—28no—
720C4×D89—44no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—44no—
725C4×D89—44no—
726C4×D89—44no—
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#52914yes—
736C22×C89C22×#4111yescharacteristic
737C22×C89C22×#4111yescharacteristic
738C22×C89C22×#4111yescharacteristic
739C22×C89C2×H(5,𝔽2)11yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×H(5,𝔽2)11yescharacteristic
742C22×C89#58511yescharacteristic
743C2×D89—22no—
744C2×D89—22no—
745C2×D89—22no—
746C2×D89—22no—
747C2×D89—22no—
748C2×D89—22no—
749C2×D89—22no—
750C2×D89—22no—
751C2×D89—22no—
752C2×D89—416no—
753C2×D89—41no—
754C2×D89—41no—
755C2×D89—41no—
756C2×D89—41no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
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#53814yes—
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—
793C4×C89—41no—
794Dic89—22no—
795Dic89—22no—
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×C89C2×#52911yescharacteristic
808C2×C89C2×#53811yescharacteristic
809C2×C89#345911yescharacteristic
810C2×C89#349011yescharacteristic
811C2×C89#349411yescharacteristic
812C2×C89#351311yescharacteristic
813C2×C89#351911yescharacteristic
814D89—24no—
815D89—42no—
816D89—81no—
817D89—81no—
818D89—81no—
819#2854—891no—
820#2853—891no—
821#2852—891no—
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#2505D8911yescharacteristic, complemented
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×#126—891no—
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×C42—891no—
874#401—891no—
875#400—891no—
876#400C2×D8911yescharacteristic, complemented
877#400C2×D8911yescharacteristic, complemented
878#400C2×D8911yescharacteristic, complemented
879#399—891no—
880#398C2×D8911yescharacteristic, complemented
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#389C2×D8911yescharacteristic, complemented
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#388—891no—
933#388—891no—
934#388—891no—
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
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#386—891no—
963#386—891no—
964#386—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385C2×D8911yescharacteristic
973#385C2×D8911yescharacteristic
974#385C2×D8911yescharacteristic
975#385C2×D8911yescharacteristic
976#383—891no—
977#383—891no—
978#382—891no—
979#382C2×D8911yescharacteristic, complemented
980#381—891no—
981#381—891no—
982#380—891no—
983#380—891no—
984#380—891no—
985#380—891no—
986#380C2×D8911yescharacteristic
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⋊C4C2×D8911yescharacteristic
1002C2×#95—891no—
1003C2×#95—891no—
1004C2×#95—891no—
1005C2×#95C2×D8911yescharacteristic
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—891no—
1018C22×D4—3562no—
1019C22×D4—3562no—
1020C22×D4—1784no—
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—3562no—
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⋊C4C22×D8911yescharacteristic
1065C2×C4⋊C4C22×D8911yescharacteristic
1066C2×C4⋊C4C22×D8911yescharacteristic
1067C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—3562no—
1123C2×C22⋊C4—3562no—
1124C2×C22⋊C4—1784no—
1125C2×C22⋊C4—1784no—
1126C2×C22⋊C4—1784no—
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C42—891no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—3562no—
1141C2×C42—3562no—
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#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
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—891no—
1194C24—3561no—
1195C24—3561no—
1196C24—3561no—
1197C24—3561no—
1198C24—3561no—
1199C24—3561no—
1200C24—1782no—
1201C24—1782no—
1202C24—1782no—
1203C24—1782no—
1204C24—1782no—
1205C24—1782no—
1206C24—1782no—
1207C24C23×D8911yescharacteristic
1208C2×Q8—3561no—
1209C2×Q8—3561no—
1210C2×Q8—1782no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—3561no—
1214C2×D4—3561no—
1215C2×D4—3561no—
1216C2×D4—3561no—
1217C2×D4—3561no—
1218C2×D4—3561no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—35616no—
1222C2×D4—1782no—
1223C2×D4—1782no—
1224C2×D4—1782no—
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—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—894no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—35616no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
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×C4C23×D8911yescharacteristic
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—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
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—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—3561no—
1333C22⋊C4—3561no—
1334C22⋊C4—3561no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—1782no—
1358C22⋊C4—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
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#1308357514yes—
1381C42—22no—
1382C42—41no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—3561no—
1390C42—1782no—
1391C42—1782no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—892no—
1397C23—892no—
1398C23—892no—
1399C23—892no—
1400C23—3564no—
1401C23—3564no—
1402C23—3564no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—3564no—
1407C23—3564no—
1408C23—1788no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
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—1788no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—7122no—
1442C23—7122no—
1443C23—7122no—
1444C23—7122no—
1445C23#41×D8912yes—
1446C23#41×D8912yes—
1447C23C2×#1308357512yes—
1448C23C24×D8911yescharacteristic
1449Q8—7122no—
1450D4—3564no—
1451D4—3564no—
1452D4—3564no—
1453D4—3564no—
1454D4—3564no—
1455D4—3564no—
1456D4—3564no—
1457D4—7122no—
1458D4—7122no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—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—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—82no—
1501C2×C4—892no—
1502C2×C4—892no—
1503C2×C4—3564no—
1504C2×C4—3564no—
1505C2×C4—3564no—
1506C2×C4—3564no—
1507C2×C4—3564no—
1508C2×C4—3564no—
1509C2×C4—3564no—
1510C2×C4—3564no—
1511C2×C4—1788no—
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—1781no—
1543C2×C4—7122no—
1544C2×C4—7122no—
1545C2×C4C2×#1308357512yes—
1546C2×C4C2×#1308357512yes—
1547C2×C4#1566805812yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—894no—
1555C22—35616no—
1556C22—3561no—
1557C22—3561no—
1558C22—3561no—
1559C22—3561no—
1560C22—3561no—
1561C22—3561no—
1562C22—3561no—
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#1915213314yes—
1592C22C2×#41×D8911yescharacteristic
1593C22C2×#41×D8911yescharacteristic
1594C22C22×#1308357511yescharacteristic
1595C22H(5,𝔽2)×D8911yescharacteristic
1596C22H(5,𝔽2)×D8911yescharacteristic
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—41no—
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—3562no—
1626C2—1784no—
1627C2—7121no—
1628C2—7121no—
1629C2—7121no—
1630C2C2×#1915213311yescharacteristic
1631C2#538×D8911yescharacteristic
1632C2#2603366211yescharacteristic
1633C2#2603393611yescharacteristic
1634C2#2603397811yescharacteristic
1635C2#2603419511yescharacteristic
1636C2#2603428511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2505C2
prime radical#26023624C2
hypercenter#2505D89
hypocenterC89#34998
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #26028585C2semidirect
2. #26028576C2semidirect
3. #26028570C2semidirect
4. #26028554C2semidirect
5. #26026314C2semidirect
6. #26026254C2semidirect
7. #26026239C2semidirect
8. #26026239C2semidirect
9. #26024909C2semidirect
10. #26024906C2semidirect
11. #26024813C2semidirect
12. #26024812C2semidirect
13. #26024579C2semidirect
14. #26024500C2semidirect
15. #26024378C2semidirect
16. #26024301C2semidirect
17. #26024193C2semidirect
18. #26024003C2semidirect
19. #26023916C2semidirect
20. #26023796C2semidirect
21. #26023645C2semidirect
23. #26023581C2semidirect
24. #26022983C2semidirect
25. #26022909C2semidirect
26. #26022880C2semidirect
27. #26022849C2semidirect
28. #26022753C2semidirect
29. C2×#19151476C2semidirect
30. C4×C22⋊C4×D89C2semidirect
31. C89×#2505C2semidirect
34. C2×#15668007C22semidirect
35. C2×#15668000C22semidirect
38. C2×#15667997C22semidirect
39. C2×#15667992C22semidirect
45. C2×#15667974C22semidirect
46. C2×#15667974C22semidirect
53. C2×C42×D89C22semidirect
54. C2×C42×D89C22semidirect
55. C89⋊#401C22semidirect
56. #19151540C22semidirect
57. #19151535C22semidirect
58. #19151527C22semidirect
59. #19151527C22semidirect
60. #19151527C22semidirect
61. #19151525C22semidirect
62. #19151525C22semidirect
63. #19151525C22semidirect
64. #19151524C22semidirect
65. #19151524C22semidirect
66. #19151520C22semidirect
67. #19151520C22semidirect
68. #19151520C22semidirect
71. #19151516C22semidirect
72. #19151516C22semidirect
73. #19151516C22semidirect
78. #19151515C22semidirect
79. #19151511C22semidirect
80. #19151511C22semidirect
83. #19151503C22semidirect
84. #19151502C22semidirect
85. #19151500C22semidirect
86. #19151499C22semidirect
87. #19151499C22semidirect
88. #19151494C22semidirect
89. #19151493C22semidirect
90. #19151490C22semidirect
91. #19151490C22semidirect
92. #19151490C22semidirect
93. #19151490C22semidirect
94. #19151490C22semidirect
95. #19151490C22semidirect
96. #19151490C22semidirect
97. #19151489C22semidirect
98. #19151489C22semidirect
99. #19151488C22semidirect
100. #19151488C22semidirect
101. #19151488C22semidirect
102. #19151488C22semidirect
103. #19151488C22semidirect
104. #19151488C22semidirect
105. #19151488C22semidirect
106. #19151488C22semidirect
107. #19151487C22semidirect
108. #19151487C22semidirect
109. #19151487C22semidirect
110. #19151487C22semidirect
111. #19151485C22semidirect
112. #19151483C22semidirect
113. #19151481C22semidirect
114. #19151480C22semidirect
115. #19151480C22semidirect
116. #19151479C22semidirect
117. #19151479C22semidirect
133. #19151476C22semidirect
134. #19151476C22semidirect
135. #19151476C22semidirect
136. #19151476C22semidirect
137. #19151476C22semidirect
140. #19151472C22semidirect
141. #19151472C22semidirect
143. #19151469C22semidirect
144. #19151469C22semidirect
145. #19151469C22semidirect
146. #19151465C22semidirect
147. #19151465C22semidirect
148. #19151463C22semidirect
149. #19151460C22semidirect
150. #19151460C22semidirect
153. #19151455C22semidirect
154. #19151455C22semidirect
162. C4×#13083551C22semidirect
163. C4×#13083551C22semidirect
165. #19151445C22semidirect
166. #19151445C22semidirect
167. #19151445C22semidirect
168. #19151445C22semidirect
170. #95×D89C22semidirect
171. #95×D89C22semidirect
172. #400×C89C22semidirect
173. #400×C89C22semidirect
174. #400×C89C22semidirect
175. #398×C89C22semidirect
176. #389×C89C22semidirect
177. #387×C89C22semidirect
178. #387×C89C22semidirect
183. #382×C89C22semidirect
831. #2505D89semidirect
850. C89#34998semidirect
876. #400C2×D89semidirect
877. #400C2×D89semidirect
878. #400C2×D89semidirect
880. #398C2×D89semidirect
913. #389C2×D89semidirect
942. #387C2×D89semidirect
943. #387C2×D89semidirect
979. #382C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285852
#260285762
#260285702
#260285542
#260263142
#260262542
#260262392
#260249092
#260249062
#260248132
#260248122
#260245792
#260245002
#260243782
#260243012
#260241932
#260240032
#260239162
#260237962
#260236452
#260236242
#260235812
#260229832
#260229092
#260228802
#260228492
#260227532
C2×#191514762
C4×C22⋊C4×D892
C89×#25052
#3499889