Finite Group Databasebeta

← #36763738

Subgroups — #36763738

Order 22784.

2078 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028569C211yesmaximal, characteristic, complemented
2#26028558C211yesmaximal, characteristic, complemented
3#26028087C211yesmaximal, characteristic, complemented
4#26027971C211yesmaximal, characteristic, complemented
5#26027595C211yesmaximal, characteristic, complemented
6#26027359C211yesmaximal, characteristic, complemented
7#26027308C211yesmaximal, characteristic, complemented
8#26027171C211yesmaximal, characteristic, complemented
9#26027007C211yesmaximal, characteristic, complemented
10#26027005C211yesmaximal, characteristic, complemented
11#26026960C211yesmaximal, characteristic, complemented
12#26026942C211yesmaximal, characteristic, complemented
13#26026926C211yesmaximal, characteristic, complemented
14#26026923C211yesmaximal, characteristic, complemented
15#26026795C211yesmaximal, characteristic, complemented
16#26026766C211yesmaximal, characteristic, complemented
17#26026740C211yesmaximal, characteristic, complemented
18#26026597C211yesmaximal, characteristic, complemented
19#26026060C211yesmaximal, characteristic, complemented
20#26026030C211yesmaximal, characteristic, complemented
21#26024498C211yesmaximal, characteristic, complemented
22#26024061C211yesmaximal, characteristic, complemented
23#26023917C211yesmaximal, characteristic, complemented
24#26023716C211yesmaximal, characteristic, complemented
25#26023645C211yesmaximal, characteristic, complemented
26#26023624C211yesmaximal, characteristic
27#26023581C211yesmaximal, characteristic, complemented
28#26022912C211yesmaximal, characteristic, complemented
29#26022863C211yesmaximal, characteristic, complemented
30C2×#19151499C211yesmaximal, characteristic, complemented
31C89×#2473C211yesmaximal, characteristic, complemented
32C23×D356C2211yescharacteristic
33C2×#15668007C2211yescharacteristic, complemented
34C2×#15668006C2211yescharacteristic, complemented
35C2×#15668002C2211yescharacteristic, complemented
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667997C2211yescharacteristic, complemented
39C2×#15667997C2211yescharacteristic, complemented
40C2×#15667991C2211yescharacteristic
41C2×#15667990C2211yescharacteristic, complemented
42C2×#15667990C2211yescharacteristic, complemented
43C2×#15667987C2211yescharacteristic
44C2×#15667987C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×C4×C22⋊D89C2211yescharacteristic
48C22×#13083551C2211yescharacteristic
49C22×#13083551C2211yescharacteristic
50C22×#13083551C2211yescharacteristic
51C22×#13083551C2211yescharacteristic
52C2×C22⋊C4×D89C2211yescharacteristic
53C2×C22⋊C4×D89C2211yescharacteristic
54C22×C4×Dic89C2211yescharacteristic
55#19151535C2211yescharacteristic, complemented
56#19151535C2211yescharacteristic, complemented
57#19151533C2211yescharacteristic, complemented
58#19151533C2211yescharacteristic, complemented
59#19151533C2211yescharacteristic, complemented
60#19151529C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151527C2211yescharacteristic, complemented
63#19151527C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151527C2211yescharacteristic, complemented
67#19151527C2211yescharacteristic, complemented
68#19151524C2211yescharacteristic, complemented
69#19151524C2211yescharacteristic, complemented
70#19151524C2211yescharacteristic, complemented
71#19151522C2211yescharacteristic, complemented
72#19151522C2211yescharacteristic, complemented
73#19151520C2211yescharacteristic, complemented
74#19151520C2211yescharacteristic, complemented
75#19151520C2211yescharacteristic, complemented
76#19151520C2211yescharacteristic, complemented
77#19151520C2211yescharacteristic, complemented
78#19151520C2211yescharacteristic, complemented
79#19151518C2211yescharacteristic, complemented
80#19151516C2211yescharacteristic
81#19151516C2211yescharacteristic
82#19151516C2211yescharacteristic, complemented
83#19151516C2211yescharacteristic, complemented
84#19151516C2211yescharacteristic, complemented
85#19151516C2211yescharacteristic, complemented
86#19151515C2211yescharacteristic
87#19151515C2211yescharacteristic
88#19151515C2211yescharacteristic
89#19151515C2211yescharacteristic
90#19151515C2211yescharacteristic, complemented
91#19151515C2211yescharacteristic, complemented
92#19151515C2211yescharacteristic, complemented
93#19151515C2211yescharacteristic, complemented
94#19151511C2211yescharacteristic, complemented
95#19151511C2211yescharacteristic, complemented
96#19151511C2211yescharacteristic, complemented
97#19151508C2211yescharacteristic
98#19151508C2211yescharacteristic
99#19151500C2211yescharacteristic, complemented
100#19151500C2211yescharacteristic, complemented
101#19151499C2211yescharacteristic
102#19151499C2211yescharacteristic
103#19151499C2211yescharacteristic
104#19151499C2211yescharacteristic
105#19151499C2211yescharacteristic
106#19151499C2211yescharacteristic
107#19151499C2211yescharacteristic
108#19151499C2211yescharacteristic
109#19151495C2211yescharacteristic, complemented
110#19151493C2211yescharacteristic, complemented
111#19151493C2211yescharacteristic, complemented
112#19151490C2211yescharacteristic, complemented
113#19151490C2211yescharacteristic, complemented
114#19151490C2211yescharacteristic, complemented
115#19151489C2211yescharacteristic, complemented
116#19151489C2211yescharacteristic, complemented
117#19151489C2211yescharacteristic, complemented
118#19151489C2211yescharacteristic, complemented
119#19151489C2211yescharacteristic, complemented
120#19151488C2211yescharacteristic, complemented
121#19151488C2211yescharacteristic, complemented
122#19151487C2211yescharacteristic, complemented
123#19151487C2211yescharacteristic, complemented
124#19151484C2211yescharacteristic, complemented
125#19151484C2211yescharacteristic, complemented
126#19151484C2211yescharacteristic, complemented
127#19151483C2211yescharacteristic, complemented
128#19151481C2211yescharacteristic, complemented
129#19151480C2211yescharacteristic, complemented
130#19151479C2211yescharacteristic, complemented
131#19151479C2211yescharacteristic, complemented
132#19151477C2211yescharacteristic
133#19151477C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic
136#19151476C2211yescharacteristic
137#19151476C2211yescharacteristic
138#19151476C2211yescharacteristic, complemented
139#19151476C2211yescharacteristic, complemented
140#19151476C2211yescharacteristic, complemented
141#19151476C2211yescharacteristic, complemented
142#19151475C2211yescharacteristic
143#19151475C2211yescharacteristic
144#19151473C2211yescharacteristic
145#19151473C2211yescharacteristic
146#19151472C2211yescharacteristic, complemented
147#19151472C2211yescharacteristic, complemented
148#19151472C2211yescharacteristic, complemented
149#19151471C2211yescharacteristic
150#19151471C2211yescharacteristic
151#19151470C2211yescharacteristic
152#19151470C2211yescharacteristic
153#19151469C2211yescharacteristic, complemented
154#19151469C2211yescharacteristic, complemented
155#19151469C2211yescharacteristic, complemented
156#19151469C2211yescharacteristic, complemented
157#19151469C2211yescharacteristic, complemented
158#19151465C2211yescharacteristic, complemented
159#19151462C2211yescharacteristic, complemented
160#19151460C2211yescharacteristic, complemented
161#19151457C2211yescharacteristic, complemented
162#19151457C2211yescharacteristic, complemented
163#19151457C2211yescharacteristic, complemented
164#19151456C2211yescharacteristic
165#19151456C2211yescharacteristic
166#19151455C2211yescharacteristic, complemented
167#19151455C2211yescharacteristic, complemented
168#19151453C2211yescharacteristic
169#19151453C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172C2×#125×C89C2211yescharacteristic, complemented
173C22×C4⋊C4×C89C2211yescharacteristic
174#400×C89C2211yescharacteristic, complemented
175#398×C89C2211yescharacteristic, complemented
176#398×C89C2211yescharacteristic, complemented
177#398×C89C2211yescharacteristic, complemented
178#389×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#387×C89C2211yescharacteristic, complemented
181#385×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#380×C89C2211yescharacteristic
186C4×C22⋊C4×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×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209#15668007—42no—
210#15668006—42no—
211#15668002—42no—
212#15667997—42no—
213#15667997—42no—
214#15667997—42no—
215#15667997—42no—
216#15667991—42no—
217#15667990—42no—
218#15667990—42no—
219#15667987—42no—
220#15667987—42no—
221#15667982—24no—
222#15667982—42no—
223C4×C22⋊D89—42no—
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
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×#13083551—42no—
248C2×#13083551—42no—
249C2×#13083551—42no—
250C2×#13083551—42no—
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
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C22⋊C4×D89—24no—
301C22⋊C4×D89—42no—
302C2×C4×Dic89—42no—
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
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
332C23×C4×C89C2311yescharacteristic
333C23×C4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335#125×C89—42no—
336C2×C4⋊C4×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×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×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—41no—
375C23×D89—41no—
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—41no—
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—41no—
402C2×D356—41no—
403C2×D356—41no—
404C2×D356—41no—
405C2×D356—416no—
406C2×D356—41no—
407C2×D356—41no—
408C2×D356—41no—
409C2×D356—41no—
410C2×D356—41no—
411C2×D356—41no—
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—22no—
421C22×Dic89—22no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89—41no—
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—41no—
439C2×C4×D89—41no—
440C2×C4×D89—41no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C4⋊Dic89—41no—
452C4⋊Dic89—41no—
453C4⋊Dic89—41no—
454C4⋊Dic89—41no—
455C4⋊Dic89—41no—
456#13083553—22no—
457#13083553—22no—
458#13083553—22no—
459#13083553—22no—
460#13083553—22no—
461#13083553—41no—
462#13083553—41no—
463#13083553—41no—
464#13083553—41no—
465#13083553—41no—
466#13083553—41no—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470#13083553—41no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474#13083551—22no—
475#13083551—22no—
476#13083551—22no—
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—41no—
486#13083551—41no—
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—
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—
523C4×Dic89—22no—
524C4×Dic89—22no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C4×Dic89—41no—
528C24×C89C2411yescharacteristic
529C22×C4×C89—22no—
530C22×C4×C89—22no—
531C22×C4×C89—22no—
532C22×C4×C89—22no—
533C22×C4×C89—22no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
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
552C4⋊C4×C89—22no—
553C4⋊C4×C89—22no—
554C4⋊C4×C89—22no—
555C4⋊C4×C89—22no—
556C4⋊C4×C89—22no—
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—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—22no—
568C22⋊C4×C89—22no—
569C22⋊C4×C89—22no—
570C42×C89—41no—
571C42×C89—41no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89C2×#4112yes—
577C23×C89H(5,𝔽2)12yes—
578C23×C892−1+412yes—
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—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—82no—
620C22×D89—82no—
621C22×D89—82no—
622C22×D89—82no—
623C22×D89—82no—
624C22×D89—82no—
625C22×D89—82no—
626C22×D89—82no—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629C2×C4×C89—28no—
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—21no—
670C2×C4×C89—82no—
671C2×C4×C89—82no—
672C2×C4×C89H(5,𝔽2)12yes—
673C2×C4×C89H(5,𝔽2)12yes—
674C22⋊D89—44no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—44no—
708C2×Dic89—44no—
709C2×Dic89H(5,𝔽2)12yes—
710D356—44no—
711D356—44no—
712D356—44no—
713D356—44no—
714D356—82no—
715D356—82no—
716D356—82no—
717D356—82no—
718C4×D89—82no—
719C4×D89—82no—
720C4×D89—82no—
721C4×D89—82no—
722C4×D89—82no—
723Dic178—82no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89#53914yes—
731C22×C89C22×#4111yescharacteristic
732C22×C89C2×H(5,𝔽2)11yescharacteristic
733C22×C89C2×H(5,𝔽2)11yescharacteristic
734C22×C89C2×H(5,𝔽2)11yescharacteristic
735C22×C89C2×H(5,𝔽2)11yescharacteristic
736C22×C89C2×2−1+411yescharacteristic
737C22×C89#58511yescharacteristic
738C2×D89—22no—
739C2×D89—22no—
740C2×D89—22no—
741C2×D89—22no—
742C2×D89—22no—
743C2×D89—22no—
744C2×D89—41no—
745C2×D89—41no—
746C2×D89—41no—
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—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—88no—
774C2×D89—88no—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—41no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789Dic89—22no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36807—891nomaximal, Sylow
801C2×C89—24no—
802C2×C89C2×#53911yescharacteristic
803C2×C89#349011yescharacteristic
804C2×C89#350511yescharacteristic
805C2×C89#353611yescharacteristic
806C2×C89#354211yescharacteristic
807C2×C89#354311yescharacteristic
808C2×C89#356111yescharacteristic
809D89—42no—
810D89—42no—
811D89—81no—
812D89—81no—
813D89—81no—
814#2852—891no—
815#2851—891no—
816#2796—891no—
817#2786—891no—
818#2757—891no—
819#2740—891no—
820#2737—891no—
821#2723—891no—
822#2711—891no—
823#2711—891no—
824#2707—891no—
825#2706—891no—
826#2705—891no—
827#2705—891no—
828#2696—891no—
829#2694—891no—
830#2691—891no—
831#2681—891no—
832#2626—891no—
833#2622—891no—
834#2480—891no—
835#2473D8911yescharacteristic, complemented
836#2449—891no—
837#2437—891no—
838#2418—891no—
839#2412—891no—
840#2410—891no—
841#2405—891no—
842#2321—891no—
843#2315—891no—
844C2×#390—891no—
845C89#3680711yescharacteristic, complemented, Sylow
846C23×D4—891no—
847C2×#126—891no—
848C2×#126—891no—
849C2×#125—891no—
850C2×#125C2×D8911yescharacteristic, complemented
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×#123—891no—
855C2×C22⋊Q8—891no—
856C2×C22⋊Q8—891no—
857C2×C22⋊Q8—891no—
858C2×#121—891no—
859C2×#121—891no—
860C2×#120—891no—
861C2×#120—891no—
862C2×C4×D4—891no—
863C22×C4⋊C4C2×D8911yescharacteristic
864C22×C22⋊C4—891no—
865C22×C22⋊C4—891no—
866C22×C22⋊C4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869C22×C22⋊C4—891no—
870C22×C42—891no—
871#400C2×D8911yescharacteristic, complemented
872#399—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#398—891no—
878#398C2×D8911yescharacteristic, complemented
879#398C2×D8911yescharacteristic, complemented
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#397—891no—
890#397—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#395—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394—891no—
914#393—891no—
915#393—891no—
916#393—891no—
917#392—891no—
918#392—891no—
919#390—891no—
920#390—891no—
921#390—891no—
922#390—891no—
923#390—891no—
924#390—891no—
925#390—891no—
926#390—891no—
927#390—891no—
928#390—891no—
929#389—891no—
930#389—891no—
931#389—891no—
932#389C2×D8911yescharacteristic, complemented
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388—891no—
943#388—891no—
944#388—891no—
945#387—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#387—891no—
953#387C2×D8911yescharacteristic, complemented
954#387C2×D8911yescharacteristic, complemented
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#386—891no—
966#386—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385C2×D8911yescharacteristic
982#385C2×D8911yescharacteristic
983#385C2×D8911yescharacteristic
984#385C2×D8911yescharacteristic
985#383—891no—
986#382—891no—
987#381—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380C2×D8911yescharacteristic
996#379—891no—
997#379—891no—
998#379—891no—
999#379—891no—
1000C4×C22⋊C4C2×D8911yescharacteristic
1001C25—891no—
1002C25—891no—
1003C22×Q8—891no—
1004C22×D4—891no—
1005C22×D4—891no—
1006C22×D4—891no—
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—3562no—
1014C22×D4—3562no—
1015C22×D4—1784no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026#126—3562no—
1027#126—3562no—
1028#125—42no—
1029#125—3562no—
1030#123—3562no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034C22⋊Q8—3562no—
1035C22⋊Q8—3562no—
1036C22⋊Q8—3562no—
1037#121—3562no—
1038#121—3562no—
1039#120—3562no—
1040#120—1784no—
1041C4×D4—3562no—
1042C2×C4⋊C4—42no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—891no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4C22×D8911yescharacteristic
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×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—3562no—
1130C2×C22⋊C4—3562no—
1131C2×C22⋊C4—3562no—
1132C2×C22⋊C4—3562no—
1133C2×C22⋊C4—3562no—
1134C2×C22⋊C4—1784no—
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—3562no—
1145C2×C42C22×D8911yescharacteristic
1146C2×C42C22×D8911yescharacteristic
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#95C22×D8911yescharacteristic
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
1183C24—894no—
1184C24—891no—
1185C24—891no—
1186C24—891no—
1187C24—891no—
1188C24—891no—
1189C24—3561no—
1190C24—3561no—
1191C24—3561no—
1192C24—3561no—
1193C24—3561no—
1194C24—3561no—
1195C24—3561no—
1196C24—3561no—
1197C24—1782no—
1198C24—1782no—
1199C24—1782no—
1200C24—1782no—
1201C24—1782no—
1202C24C23×D8911yescharacteristic
1203C2×Q8—3561no—
1204C2×Q8—3561no—
1205C2×Q8—3561no—
1206C2×D4—35616no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
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—1782no—
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—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—891no—
1244C22×C4—891no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—3561no—
1255C22×C4—3561no—
1256C22×C4—3561no—
1257C22×C4—3561no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—1782no—
1271C22×C4—1782no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4C23×D8911yescharacteristic
1276C22×C4C23×D8911yescharacteristic
1277C22×C4C23×D8911yescharacteristic
1278C22×C4C23×D8911yescharacteristic
1279C22×C4C23×D8911yescharacteristic
1280C22×C4C23×D8911yescharacteristic
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
1305C4⋊C4—3561no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—1782no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C4⋊C4—1782no—
1322C4⋊C4—1782no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—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—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—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—
1379C42—41no—
1380C42—41no—
1381C42—3561no—
1382C42—3561no—
1383C42—3561no—
1384C42—1782no—
1385C42—1782no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—892no—
1391C23—892no—
1392C23—3564no—
1393C23—3564no—
1394C23—3564no—
1395C23—3564no—
1396C23—3564no—
1397C23—1781no—
1398C23—1781no—
1399C23—1781no—
1400C23—1781no—
1401C23—1781no—
1402C23—1781no—
1403C23—1781no—
1404C23—1781no—
1405C23—1781no—
1406C23—1781no—
1407C23—1781no—
1408C23—1781no—
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—7122no—
1432C23—7122no—
1433C23—7122no—
1434C23—7122no—
1435C23—7122no—
1436C23—7122no—
1437C23—7122no—
1438C23—7122no—
1439C23#41×D8912yes—
1440C23#1566805812yes—
1441C23#1566806012yes—
1442C23C24×D8911yescharacteristic
1443Q8—7122no—
1444D4—3564no—
1445D4—3564no—
1446D4—3564no—
1447D4—3564no—
1448D4—3564no—
1449D4—7122no—
1450D4—7122no—
1451D4—7122no—
1452D4—7122no—
1453C2×C4—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—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—82no—
1495C2×C4—82no—
1496C2×C4—892no—
1497C2×C4—3564no—
1498C2×C4—3564no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—7122no—
1532C2×C4—7122no—
1533C2×C4—7122no—
1534C2×C4—7122no—
1535C2×C4—7122no—
1536C2×C4#1566805712yes—
1537C2×C4#1566805812yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—3561no—
1545C22—3561no—
1546C22—3561no—
1547C22—3561no—
1548C22—3561no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
1552C22—3561no—
1553C22—3561no—
1554C22—3561no—
1555C22—3561no—
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—1782no—
1574C22—1782no—
1575C22—1782no—
1576C22—1782no—
1577C22—1782no—
1578C22—1782no—
1579C22—7128no—
1580C22—7128no—
1581C22#1915219614yes—
1582C22C2×#41×D8911yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22C2×#1566805711yescharacteristic
1585C22C2×#1566805811yescharacteristic
1586C22C2×#1566805811yescharacteristic
1587C22C2×#1566806011yescharacteristic
1588C22#1915243511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—1782no—
1614C2—24no—
1615C2—3562no—
1616C2—3562no—
1617C2—7121no—
1618C2—7121no—
1619C2—7121no—
1620C2C2×#1915219611yescharacteristic
1621C2#2603393511yescharacteristic
1622C2#2603408411yescharacteristic
1623C2#2603448011yescharacteristic
1624C2#2603456211yescharacteristic
1625C2#2603458411yescharacteristic
1626C2#2603481811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2473C2
prime radical#26023624C2
hypercenter#2473D89
hypocenterC89#36807
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. #26028569C2semidirect
2. #26028558C2semidirect
3. #26028087C2semidirect
4. #26027971C2semidirect
5. #26027595C2semidirect
6. #26027359C2semidirect
7. #26027308C2semidirect
8. #26027171C2semidirect
9. #26027007C2semidirect
10. #26027005C2semidirect
11. #26026960C2semidirect
12. #26026942C2semidirect
13. #26026926C2semidirect
14. #26026923C2semidirect
15. #26026795C2semidirect
16. #26026766C2semidirect
17. #26026740C2semidirect
18. #26026597C2semidirect
19. #26026060C2semidirect
20. #26026030C2semidirect
21. #26024498C2semidirect
22. #26024061C2semidirect
23. #26023917C2semidirect
24. #26023716C2semidirect
25. #26023645C2semidirect
27. #26023581C2semidirect
28. #26022912C2semidirect
29. #26022863C2semidirect
30. C2×#19151499C2semidirect
31. C89×#2473C2semidirect
33. C2×#15668007C22semidirect
34. C2×#15668006C22semidirect
35. C2×#15668002C22semidirect
38. C2×#15667997C22semidirect
39. C2×#15667997C22semidirect
41. C2×#15667990C22semidirect
42. C2×#15667990C22semidirect
55. #19151535C22semidirect
56. #19151535C22semidirect
57. #19151533C22semidirect
58. #19151533C22semidirect
59. #19151533C22semidirect
60. #19151529C22semidirect
61. #19151527C22semidirect
62. #19151527C22semidirect
63. #19151527C22semidirect
64. #19151527C22semidirect
65. #19151527C22semidirect
66. #19151527C22semidirect
67. #19151527C22semidirect
68. #19151524C22semidirect
69. #19151524C22semidirect
70. #19151524C22semidirect
71. #19151522C22semidirect
72. #19151522C22semidirect
73. #19151520C22semidirect
74. #19151520C22semidirect
75. #19151520C22semidirect
76. #19151520C22semidirect
77. #19151520C22semidirect
78. #19151520C22semidirect
79. #19151518C22semidirect
82. #19151516C22semidirect
83. #19151516C22semidirect
84. #19151516C22semidirect
85. #19151516C22semidirect
90. #19151515C22semidirect
91. #19151515C22semidirect
92. #19151515C22semidirect
93. #19151515C22semidirect
94. #19151511C22semidirect
95. #19151511C22semidirect
96. #19151511C22semidirect
99. #19151500C22semidirect
100. #19151500C22semidirect
109. #19151495C22semidirect
110. #19151493C22semidirect
111. #19151493C22semidirect
112. #19151490C22semidirect
113. #19151490C22semidirect
114. #19151490C22semidirect
115. #19151489C22semidirect
116. #19151489C22semidirect
117. #19151489C22semidirect
118. #19151489C22semidirect
119. #19151489C22semidirect
120. #19151488C22semidirect
121. #19151488C22semidirect
122. #19151487C22semidirect
123. #19151487C22semidirect
124. #19151484C22semidirect
125. #19151484C22semidirect
126. #19151484C22semidirect
127. #19151483C22semidirect
128. #19151481C22semidirect
129. #19151480C22semidirect
130. #19151479C22semidirect
131. #19151479C22semidirect
138. #19151476C22semidirect
139. #19151476C22semidirect
140. #19151476C22semidirect
141. #19151476C22semidirect
146. #19151472C22semidirect
147. #19151472C22semidirect
148. #19151472C22semidirect
153. #19151469C22semidirect
154. #19151469C22semidirect
155. #19151469C22semidirect
156. #19151469C22semidirect
157. #19151469C22semidirect
158. #19151465C22semidirect
159. #19151462C22semidirect
160. #19151460C22semidirect
161. #19151457C22semidirect
162. #19151457C22semidirect
163. #19151457C22semidirect
166. #19151455C22semidirect
167. #19151455C22semidirect
172. C2×#125×C89C22semidirect
174. #400×C89C22semidirect
175. #398×C89C22semidirect
176. #398×C89C22semidirect
177. #398×C89C22semidirect
178. #389×C89C22semidirect
179. #387×C89C22semidirect
180. #387×C89C22semidirect
835. #2473D89semidirect
845. C89#36807semidirect
850. C2×#125C2×D89semidirect
871. #400C2×D89semidirect
878. #398C2×D89semidirect
879. #398C2×D89semidirect
880. #398C2×D89semidirect
932. #389C2×D89semidirect
953. #387C2×D89semidirect
954. #387C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285692
#260285582
#260280872
#260279712
#260275952
#260273592
#260273082
#260271712
#260270072
#260270052
#260269602
#260269422
#260269262
#260269232
#260267952
#260267662
#260267402
#260265972
#260260602
#260260302
#260244982
#260240612
#260239172
#260237162
#260236452
#260236242
#260235812
#260229122
#260228632
C2×#191514992
C89×#24732
#3680789