Finite Group Databasebeta

← #36763232

Subgroups — #36763232

Order 22784.

2142 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#26028547C211yesmaximal, characteristic, complemented
2#26028533C211yesmaximal, characteristic, complemented
3#26028194C211yesmaximal, characteristic, complemented
4#26028110C211yesmaximal, characteristic, complemented
5#26028001C211yesmaximal, characteristic, complemented
6#26027948C211yesmaximal, characteristic, complemented
7#26027894C211yesmaximal, characteristic, complemented
8#26027868C211yesmaximal, characteristic, complemented
9#26027502C211yesmaximal, characteristic, complemented
10#26027487C211yesmaximal, characteristic, complemented
11#26027418C211yesmaximal, characteristic, complemented
12#26027052C211yesmaximal, characteristic, complemented
13#26026995C211yesmaximal, characteristic, complemented
14#26026974C211yesmaximal, characteristic, complemented
15#26026971C211yesmaximal, characteristic, complemented
16#26026788C211yesmaximal, characteristic, complemented
17#26026659C211yesmaximal, characteristic, complemented
18#26026618C211yesmaximal, characteristic, complemented
19#26026208C211yesmaximal, characteristic, complemented
20#26026182C211yesmaximal, characteristic, complemented
21#26024513C211yesmaximal, characteristic, complemented
22#26024378C211yesmaximal, characteristic, complemented
23#26023981C211yesmaximal, characteristic, complemented
24#26023930C211yesmaximal, characteristic, complemented
25#26023864C211yesmaximal, characteristic, complemented
26#26023782C211yesmaximal, characteristic, complemented
27#26023638C211yesmaximal, characteristic, complemented
28#26023573C211yesmaximal, characteristic, complemented
29#26022845C211yesmaximal, characteristic, complemented
30C2×#19151469C211yesmaximal, characteristic, complemented
31C89×#2322C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668006C2211yescharacteristic, complemented
35C2×#15668000C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667997C2211yescharacteristic
38C2×#15667995C2211yescharacteristic, complemented
39C2×#15667989C2211yescharacteristic
40C2×#15667986C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667984C2211yescharacteristic
45C2×#15667982C2211yescharacteristic
46C2×#15667982C2211yescharacteristic
47C2×#15667980C2211yescharacteristic
48C2×#15667971C2211yescharacteristic
49C22×#13083553C2211yescharacteristic
50C22×#13083551C2211yescharacteristic
51C22×#13083551C2211yescharacteristic
52C89⋊#401C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151540C2211yescharacteristic, complemented
55#19151540C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151539C2211yescharacteristic, complemented
58#19151539C2211yescharacteristic, complemented
59#19151537C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151533C2211yescharacteristic, complemented
62#19151532C2211yescharacteristic, complemented
63#19151530C2211yescharacteristic, complemented
64#19151529C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151527C2211yescharacteristic, complemented
67#19151527C2211yescharacteristic, complemented
68#19151526C2211yescharacteristic, complemented
69#19151526C2211yescharacteristic, complemented
70#19151525C2211yescharacteristic
71#19151525C2211yescharacteristic, complemented
72#19151524C2211yescharacteristic, complemented
73#19151522C2211yescharacteristic, complemented
74#19151520C2211yescharacteristic
75#19151520C2211yescharacteristic
76#19151520C2211yescharacteristic
77#19151520C2211yescharacteristic, complemented
78#19151519C2211yescharacteristic, complemented
79#19151518C2211yescharacteristic, complemented
80#19151516C2211yescharacteristic
81#19151516C2211yescharacteristic
82#19151515C2211yescharacteristic
83#19151515C2211yescharacteristic, complemented
84#19151514C2211yescharacteristic
85#19151514C2211yescharacteristic
86#19151514C2211yescharacteristic
87#19151514C2211yescharacteristic, complemented
88#19151513C2211yescharacteristic, complemented
89#19151513C2211yescharacteristic, complemented
90#19151511C2211yescharacteristic
91#19151511C2211yescharacteristic
92#19151511C2211yescharacteristic
93#19151511C2211yescharacteristic, complemented
94#19151510C2211yescharacteristic, complemented
95#19151510C2211yescharacteristic, complemented
96#19151508C2211yescharacteristic
97#19151508C2211yescharacteristic
98#19151507C2211yescharacteristic
99#19151507C2211yescharacteristic, complemented
100#19151503C2211yescharacteristic, complemented
101#19151503C2211yescharacteristic, complemented
102#19151502C2211yescharacteristic, complemented
103#19151500C2211yescharacteristic
104#19151500C2211yescharacteristic
105#19151499C2211yescharacteristic, complemented
106#19151499C2211yescharacteristic, complemented
107#19151498C2211yescharacteristic
108#19151498C2211yescharacteristic
109#19151495C2211yescharacteristic, complemented
110#19151489C2211yescharacteristic
111#19151489C2211yescharacteristic
112#19151489C2211yescharacteristic
113#19151489C2211yescharacteristic, complemented
114#19151489C2211yescharacteristic, complemented
115#19151488C2211yescharacteristic
116#19151488C2211yescharacteristic
117#19151485C2211yescharacteristic, complemented
118#19151482C2211yescharacteristic, complemented
119#19151482C2211yescharacteristic, complemented
120#19151482C2211yescharacteristic, complemented
121#19151481C2211yescharacteristic, complemented
122#19151478C2211yescharacteristic
123#19151477C2211yescharacteristic
124#19151477C2211yescharacteristic
125#19151477C2211yescharacteristic
126#19151477C2211yescharacteristic
127#19151477C2211yescharacteristic
128#19151476C2211yescharacteristic
129#19151476C2211yescharacteristic
130#19151476C2211yescharacteristic
131#19151476C2211yescharacteristic
132#19151476C2211yescharacteristic
133#19151476C2211yescharacteristic
134#19151476C2211yescharacteristic
135#19151476C2211yescharacteristic
136#19151475C2211yescharacteristic
137#19151475C2211yescharacteristic
138#19151475C2211yescharacteristic
139#19151475C2211yescharacteristic
140#19151474C2211yescharacteristic
141#19151474C2211yescharacteristic
142#19151474C2211yescharacteristic, complemented
143#19151474C2211yescharacteristic, complemented
144#19151473C2211yescharacteristic
145#19151471C2211yescharacteristic, complemented
146#19151470C2211yescharacteristic
147#19151470C2211yescharacteristic
148#19151469C2211yescharacteristic
149#19151469C2211yescharacteristic
150#19151469C2211yescharacteristic
151#19151469C2211yescharacteristic
152#19151469C2211yescharacteristic
153#19151469C2211yescharacteristic
154#19151469C2211yescharacteristic
155#19151469C2211yescharacteristic
156#19151469C2211yescharacteristic
157#19151469C2211yescharacteristic
158#19151469C2211yescharacteristic, complemented
159#19151469C2211yescharacteristic, complemented
160#19151460C2211yescharacteristic
161#19151460C2211yescharacteristic
162#19151457C2211yescharacteristic
163#19151457C2211yescharacteristic
164#19151456C2211yescharacteristic
165#19151455C2211yescharacteristic, complemented
166#19151455C2211yescharacteristic, complemented
167#19151455C2211yescharacteristic, complemented
168#19151455C2211yescharacteristic, complemented
169#19151453C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C2×#123×C89C2211yescharacteristic
173C2×C4×D4×C89C2211yescharacteristic
174C22×C4⋊C4×C89C2211yescharacteristic
175#389×C89C2211yescharacteristic, complemented
176#389×C89C2211yescharacteristic, complemented
177#388×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic, complemented
179#387×C89C2211yescharacteristic, complemented
180#387×C89C2211yescharacteristic, complemented
181#386×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic, complemented
184#385×C89C2211yescharacteristic, complemented
185#381×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C2×#13083574—24no—
189C2×#13083574—42no—
190C2×#13083574—42no—
191C22×Dic178C2311yescharacteristic
192C22×Dic178C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C22×C4×D89—42no—
208C22×C4×D89—42no—
209C22×C4×D89—42no—
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216#15668006—42no—
217#15668000—42no—
218#15667997—42no—
219#15667997—42no—
220#15667995—42no—
221#15667989—42no—
222#15667986—42no—
223#15667985—42no—
224#15667985—42no—
225#15667984—42no—
226#15667984—42no—
227#15667982—42no—
228#15667982—42no—
229#15667980—42no—
230#15667971—42no—
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×#13083553—42no—
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×#13083551—24no—
258C2×#13083551—42no—
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C23×C4×C89C2311yescharacteristic
333C23×C4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336#123×C89—24no—
337C4×D4×C89—42no—
338C2×C4⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C42×C89C2311yescharacteristic
357C2×C42×C89C2311yescharacteristic
358C2×C42×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×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380#13083574—416no—
381C2×Dic178—22no—
382C2×Dic178—41no—
383C2×Dic178—41no—
384C2×Dic178—41no—
385C2×Dic178—41no—
386C2×Dic178—41no—
387C2×D356—22no—
388C2×D356—22no—
389C2×D356—22no—
390C2×D356—22no—
391C2×D356—22no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
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—22no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89—41no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89—41no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
423C22×Dic89—22no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89—41no—
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
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—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—416no—
460C4⋊Dic89—41no—
461C4⋊Dic89—41no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465#13083553—22no—
466#13083553—22no—
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—
477#13083553—41no—
478#13083553—41no—
479C22⋊Dic89—22no—
480C22⋊Dic89—22no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
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—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—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C24×C89C2411yescharacteristic
524C24×C89C2411yescharacteristic
525C2×D4×C89—22no—
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C22×C4×C89—22no—
529C22×C4×C89—22no—
530C22×C4×C89—22no—
531C22×C4×C89—22no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89#4114yes—
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
552C22×C4×C89C2411yescharacteristic
553C4⋊C4×C89—22no—
554C4⋊C4×C89—22no—
555C4⋊C4×C89—41no—
556C4⋊C4×C89—41no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C4⋊C4×C89—41no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C42×C89—41no—
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—28no—
589C22×D89—21no—
590C22×D89—21no—
591C22×D89—21no—
592C22×D89—21no—
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—21no—
615C22×D89—44no—
616C22×D89—44no—
617C22×D89—44no—
618C22×D89—44no—
619C22×D89—44no—
620C22×D89—44no—
621C22×D89H(5,𝔽2)12yes—
622C22×D892−1+412yes—
623D4×C89—44no—
624C2×C4×C89—28no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—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—44no—
663C2×C4×C89—82no—
664C2×C4×C89—82no—
665C2×C4×C89C2×#4112yes—
666C2×C4×C89C2×#4112yes—
667C22⋊D89—44no—
668C22⋊D89—44no—
669C22⋊D89—82no—
670C22⋊D89—82no—
671C22⋊D89—82no—
672C22⋊D89—82no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—44no—
709C2×Dic89—44no—
710C2×Dic89—82no—
711C2×Dic89H(5,𝔽2)12yes—
712D356—44no—
713D356—82no—
714D356—82no—
715D356—82no—
716D356—82no—
717C4×D89—44no—
718C4×D89—44no—
719C4×D89—44no—
720C4×D89—44no—
721C4×D89—44no—
722C4×D89—44no—
723Dic178—44no—
724Dic178—82no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—41no—
732C22×C89—41no—
733C22×C89—41no—
734C22×C89—41no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89#53814yes—
739C22×C89C22×#4111yescharacteristic
740C22×C89C2×H(5,𝔽2)11yescharacteristic
741C22×C89C2×H(5,𝔽2)11yescharacteristic
742C22×C89C2×H(5,𝔽2)11yescharacteristic
743C22×C89C2×H(5,𝔽2)11yescharacteristic
744C22×C89C2×2−1+411yescharacteristic
745C22×C89#58511yescharacteristic
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—
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—
788Dic89—22no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36791—891nomaximal, Sylow
801C2×C89—24no—
802C2×C89—81no—
803C2×C89C2×#53811yescharacteristic
804C2×C89#349211yescharacteristic
805C2×C89#350611yescharacteristic
806C2×C89#353211yescharacteristic
807C2×C89#353411yescharacteristic
808C2×C89#353511yescharacteristic
809C2×C89#353611yescharacteristic
810D89—42no—
811D89—42no—
812D89—81no—
813D89—81no—
814#2849—891no—
815#2847—891no—
816#2804—891no—
817#2797—891no—
818#2788—891no—
819#2784—891no—
820#2780—891no—
821#2778—891no—
822#2751—891no—
823#2750—891no—
824#2745—891no—
825#2714—891no—
826#2710—891no—
827#2708—891no—
828#2708—891no—
829#2695—891no—
830#2686—891no—
831#2682—891no—
832#2643—891no—
833#2639—891no—
834#2481—891no—
835#2472—891no—
836#2443—891no—
837#2438—891no—
838#2430—891no—
839#2424—891no—
840#2411—891no—
841#2404—891no—
842#2322D8911yescharacteristic, complemented
843#2311—891no—
844C2×#385—891no—
845C89#3679111yescharacteristic, complemented, Sylow
846C22×#41—891no—
847C24×C4—891no—
848C2×#126—891no—
849C2×#124—891no—
850C2×#123—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123C2×D8911yescharacteristic
854C2×C22⋊Q8—891no—
855C2×#121—891no—
856C2×#121—891no—
857C2×#121—891no—
858C2×#121—891no—
859C2×#121—891no—
860C2×#120—891no—
861C2×#120—891no—
862C2×#120—891no—
863C2×C4×D4C2×D8911yescharacteristic
864C2×#117—891no—
865C22×C4⋊C4—891no—
866C22×C4⋊C4C2×D8911yescharacteristic
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869#401—891no—
870#400—891no—
871#400—891no—
872#400—891no—
873#400—891no—
874#400—891no—
875#400—891no—
876#400—891no—
877#400—891no—
878#399—891no—
879#398—891no—
880#398—891no—
881#398—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#396—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#395—891no—
896#395—891no—
897#394—891no—
898#394—891no—
899#394—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#393—891no—
908#393—891no—
909#393—891no—
910#393—891no—
911#393—891no—
912#393—891no—
913#392—891no—
914#392—891no—
915#392—891no—
916#392—891no—
917#391—891no—
918#391—891no—
919#391—891no—
920#390—891no—
921#390—891no—
922#390—891no—
923#390—891no—
924#390—891no—
925#390—891no—
926#389—891no—
927#389C2×D8911yescharacteristic, complemented
928#389C2×D8911yescharacteristic, complemented
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388C2×D8911yescharacteristic, complemented
937#388C2×D8911yescharacteristic, complemented
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387C2×D8911yescharacteristic, complemented
944#387C2×D8911yescharacteristic, complemented
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#386—891no—
966#386—891no—
967#386C2×D8911yescharacteristic
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#385—891no—
982#385—891no—
983#385—891no—
984#385C2×D8911yescharacteristic
985#385C2×D8911yescharacteristic, complemented
986#385C2×D8911yescharacteristic, complemented
987#381—891no—
988#381—891no—
989#381C2×D8911yescharacteristic
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380—891no—
997#379—891no—
998C4×C22⋊C4C2×D8911yescharacteristic
999C2×#95—891no—
1000C2×#95—891no—
1001C25—891no—
1002C2×#41—3562no—
1003C2×#41—3562no—
1004C2×#41—1784no—
1005C22×Q8—891no—
1006C22×Q8—891no—
1007C22×D4—891no—
1008C22×D4—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×D4C22×D8911yescharacteristic
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—3562no—
1029C23×C4—3562no—
1030C23×C4—3562no—
1031C23×C4C22×D8911yescharacteristic
1032C23×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034C23×C4C22×D8911yescharacteristic
1035#126—3562no—
1036#124—3562no—
1037#123—24no—
1038#123—3562no—
1039#123—3562no—
1040#123—3562no—
1041C22⋊Q8—3562no—
1042#121—3562no—
1043#121—3562no—
1044#121—3562no—
1045#121—3562no—
1046#121—3562no—
1047#120—3562no—
1048#120—3562no—
1049#120—3562no—
1050C4×D4—42no—
1051#117—3562no—
1052C2×C4⋊C4—42no—
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⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—3562no—
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
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—3562no—
1125C2×C22⋊C4—1784no—
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42C22×D8911yescharacteristic
1137C2×C42C22×D8911yescharacteristic
1138C2×C42C22×D8911yescharacteristic
1139#95—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#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#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—891no—
1184C24—891no—
1185C24—891no—
1186C24—891no—
1187C24—3561no—
1188C24—3561no—
1189C24—1782no—
1190C24—1782no—
1191C24—1782no—
1192C24—1782no—
1193C24—1782no—
1194C24C23×D8911yescharacteristic
1195C24C23×D8911yescharacteristic
1196#41—35616no—
1197C2×Q8—3561no—
1198C2×Q8—3561no—
1199C2×Q8—3561no—
1200C2×Q8—3561no—
1201C2×Q8—3561no—
1202C2×Q8—1782no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—3561no—
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—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—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
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—891no—
1261C22×C4—891no—
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—35616no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—3561no—
1279C22×C4—3561no—
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#1308357414yes—
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
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
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
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—3561no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
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—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
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—
1381C22⋊C4—1782no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—3561no—
1386C42—3561no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—892no—
1399C23—892no—
1400C23—3564no—
1401C23—3564no—
1402C23—3564no—
1403C23—3564no—
1404C23—3564no—
1405C23—3564no—
1406C23—1788no—
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—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23C2×#1308357412yes—
1434C23#1566805712yes—
1435C23#1566805812yes—
1436C23C24×D8911yescharacteristic
1437Q8—3564no—
1438Q8—7122no—
1439D4—44no—
1440D4—3564no—
1441D4—3564no—
1442D4—3564no—
1443D4—7122no—
1444D4—7122no—
1445D4—7122no—
1446D4—7122no—
1447D4—7122no—
1448D4—7122no—
1449D4—7122no—
1450D4—7122no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—28no—
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—44no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—892no—
1493C2×C4—3564no—
1494C2×C4—3564no—
1495C2×C4—3564no—
1496C2×C4—3564no—
1497C2×C4—3564no—
1498C2×C4—3564no—
1499C2×C4—3564no—
1500C2×C4—3564no—
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—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—7122no—
1537C2×C4C2×#1308357412yes—
1538C2×C4C2×#1308357412yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—35616no—
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—3561no—
1574C22—3561no—
1575C22—1782no—
1576C22—1782no—
1577C22—1782no—
1578C22—1782no—
1579C22—1782no—
1580C22—1782no—
1581C22#1915218114yes—
1582C22C22×#1308357411yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22H(5,𝔽2)×D8911yescharacteristic
1585C22C2×#1566805711yescharacteristic
1586C22C2×#1566805811yescharacteristic
1587C222−1+4×D8911yescharacteristic
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—3561no—
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—81no—
1616C2—3562no—
1617C2—3562no—
1618C2—7121no—
1619C2—7121no—
1620C2C2×#1915218111yescharacteristic
1621C2#2603395511yescharacteristic
1622C2#2603409711yescharacteristic
1623C2#2603440411yescharacteristic
1624C2#2603444711yescharacteristic
1625C2#2603445111yescharacteristic
1626C2#2603447611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2322C2
hypercenter#2322D89
hypocenterC89#36791
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. #26028547C2semidirect
2. #26028533C2semidirect
3. #26028194C2semidirect
4. #26028110C2semidirect
5. #26028001C2semidirect
6. #26027948C2semidirect
7. #26027894C2semidirect
8. #26027868C2semidirect
9. #26027502C2semidirect
10. #26027487C2semidirect
11. #26027418C2semidirect
12. #26027052C2semidirect
13. #26026995C2semidirect
14. #26026974C2semidirect
15. #26026971C2semidirect
16. #26026788C2semidirect
17. #26026659C2semidirect
18. #26026618C2semidirect
19. #26026208C2semidirect
20. #26026182C2semidirect
21. #26024513C2semidirect
22. #26024378C2semidirect
23. #26023981C2semidirect
24. #26023930C2semidirect
25. #26023864C2semidirect
26. #26023782C2semidirect
27. #26023638C2semidirect
28. #26023573C2semidirect
29. #26022845C2semidirect
30. C2×#19151469C2semidirect
31. C89×#2322C2semidirect
34. C2×#15668006C22semidirect
38. C2×#15667995C22semidirect
52. C89⋊#401C22semidirect
53. #19151540C22semidirect
54. #19151540C22semidirect
55. #19151540C22semidirect
56. #19151539C22semidirect
57. #19151539C22semidirect
58. #19151539C22semidirect
59. #19151537C22semidirect
60. #19151536C22semidirect
61. #19151533C22semidirect
62. #19151532C22semidirect
63. #19151530C22semidirect
64. #19151529C22semidirect
65. #19151527C22semidirect
66. #19151527C22semidirect
67. #19151527C22semidirect
68. #19151526C22semidirect
69. #19151526C22semidirect
71. #19151525C22semidirect
72. #19151524C22semidirect
73. #19151522C22semidirect
77. #19151520C22semidirect
78. #19151519C22semidirect
79. #19151518C22semidirect
83. #19151515C22semidirect
87. #19151514C22semidirect
88. #19151513C22semidirect
89. #19151513C22semidirect
93. #19151511C22semidirect
94. #19151510C22semidirect
95. #19151510C22semidirect
99. #19151507C22semidirect
100. #19151503C22semidirect
101. #19151503C22semidirect
102. #19151502C22semidirect
105. #19151499C22semidirect
106. #19151499C22semidirect
109. #19151495C22semidirect
113. #19151489C22semidirect
114. #19151489C22semidirect
117. #19151485C22semidirect
118. #19151482C22semidirect
119. #19151482C22semidirect
120. #19151482C22semidirect
121. #19151481C22semidirect
142. #19151474C22semidirect
143. #19151474C22semidirect
145. #19151471C22semidirect
158. #19151469C22semidirect
159. #19151469C22semidirect
165. #19151455C22semidirect
166. #19151455C22semidirect
167. #19151455C22semidirect
168. #19151455C22semidirect
175. #389×C89C22semidirect
176. #389×C89C22semidirect
177. #388×C89C22semidirect
178. #388×C89C22semidirect
179. #387×C89C22semidirect
180. #387×C89C22semidirect
183. #385×C89C22semidirect
184. #385×C89C22semidirect
842. #2322D89semidirect
845. C89#36791semidirect
927. #389C2×D89semidirect
928. #389C2×D89semidirect
936. #388C2×D89semidirect
937. #388C2×D89semidirect
943. #387C2×D89semidirect
944. #387C2×D89semidirect
985. #385C2×D89semidirect
986. #385C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285472
#260285332
#260281942
#260281102
#260280012
#260279482
#260278942
#260278682
#260275022
#260274872
#260274182
#260270522
#260269952
#260269742
#260269712
#260267882
#260266592
#260266182
#260262082
#260261822
#260245132
#260243782
#260239812
#260239302
#260238642
#260237822
#260236382
#260235732
#260228452
C2×#191514692
C89×#23222
#3679189