Finite Group Databasebeta

← #36761638

Subgroups — #36761638

Order 22784.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028532C211yesmaximal, characteristic, complemented
2#26028532C211yesmaximal, characteristic, complemented
3#26027397C211yesmaximal, characteristic, complemented
4#26027393C211yesmaximal, characteristic, complemented
5#26027389C211yesmaximal, characteristic, complemented
6#26027385C211yesmaximal, characteristic, complemented
7#26027358C211yesmaximal, characteristic, complemented
8#26027354C211yesmaximal, characteristic, complemented
9#26027350C211yesmaximal, characteristic, complemented
10#26027346C211yesmaximal, characteristic, complemented
11#26026842C211yesmaximal, characteristic, complemented
12#26026840C211yesmaximal, characteristic, complemented
13#26026837C211yesmaximal, characteristic, complemented
14#26026835C211yesmaximal, characteristic, complemented
15#26026694C211yesmaximal, characteristic, complemented
16#26026690C211yesmaximal, characteristic, complemented
17#26026686C211yesmaximal, characteristic, complemented
18#26026682C211yesmaximal, characteristic, complemented
19#26026356C211yesmaximal, characteristic, complemented
20#26026224C211yesmaximal, characteristic, complemented
21#26024006C211yesmaximal, characteristic, complemented
22#26024004C211yesmaximal, characteristic, complemented
23#26023998C211yesmaximal, characteristic, complemented
24#26023996C211yesmaximal, characteristic, complemented
25#26023792C211yesmaximal, characteristic, complemented
26#26023788C211yesmaximal, characteristic, complemented
27#26023784C211yesmaximal, characteristic, complemented
28#26022953C211yesmaximal, characteristic, complemented
29#26022950C211yesmaximal, characteristic, complemented
30C2×#19151459C211yesmaximal, characteristic, complemented
31C89×#2424C211yesmaximal, characteristic, complemented
32C24×Dic89C2211yescharacteristic
33C2×#15667986C2211yescharacteristic
34C2×#15667985C2211yescharacteristic
35C2×#15667984C2211yescharacteristic
36C2×#15667984C2211yescharacteristic
37C2×#15667984C2211yescharacteristic
38C2×#15667984C2211yescharacteristic
39C2×#15667984C2211yescharacteristic
40C2×#15667984C2211yescharacteristic
41C2×#15667984C2211yescharacteristic
42C2×#15667984C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667983C2211yescharacteristic
45C2×#15667981C2211yescharacteristic
46C2×#15667981C2211yescharacteristic
47C2×D4×Dic89C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic
49C2×#15667972C2211yescharacteristic
50C22×C22⋊Dic89C2211yescharacteristic
51#19151540C2211yescharacteristic, complemented
52#19151539C2211yescharacteristic, complemented
53#19151539C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151538C2211yescharacteristic, complemented
56#19151537C2211yescharacteristic, complemented
57#19151536C2211yescharacteristic, complemented
58#19151536C2211yescharacteristic, complemented
59#19151534C2211yescharacteristic, complemented
60#19151534C2211yescharacteristic, complemented
61#19151533C2211yescharacteristic, complemented
62#19151533C2211yescharacteristic, complemented
63#19151532C2211yescharacteristic, complemented
64#19151531C2211yescharacteristic, complemented
65#19151529C2211yescharacteristic, complemented
66#19151528C2211yescharacteristic, complemented
67#19151527C2211yescharacteristic, complemented
68#19151526C2211yescharacteristic, complemented
69#19151526C2211yescharacteristic, complemented
70#19151526C2211yescharacteristic, complemented
71#19151525C2211yescharacteristic, complemented
72#19151524C2211yescharacteristic, complemented
73#19151524C2211yescharacteristic, complemented
74#19151523C2211yescharacteristic, complemented
75#19151521C2211yescharacteristic
76#19151521C2211yescharacteristic
77#19151521C2211yescharacteristic
78#19151515C2211yescharacteristic, complemented
79#19151514C2211yescharacteristic
80#19151514C2211yescharacteristic
81#19151514C2211yescharacteristic, complemented
82#19151513C2211yescharacteristic
83#19151513C2211yescharacteristic
84#19151513C2211yescharacteristic, complemented
85#19151512C2211yescharacteristic
86#19151512C2211yescharacteristic
87#19151512C2211yescharacteristic, complemented
88#19151507C2211yescharacteristic
89#19151507C2211yescharacteristic, complemented
90#19151507C2211yescharacteristic, complemented
91#19151506C2211yescharacteristic
92#19151506C2211yescharacteristic
93#19151506C2211yescharacteristic, complemented
94#19151506C2211yescharacteristic, complemented
95#19151501C2211yescharacteristic
96#19151498C2211yescharacteristic
97#19151498C2211yescharacteristic
98#19151492C2211yescharacteristic
99#19151492C2211yescharacteristic, complemented
100#19151491C2211yescharacteristic
101#19151491C2211yescharacteristic, complemented
102#19151489C2211yescharacteristic, complemented
103#19151489C2211yescharacteristic, complemented
104#19151488C2211yescharacteristic, complemented
105#19151487C2211yescharacteristic, complemented
106#19151486C2211yescharacteristic
107#19151486C2211yescharacteristic, complemented
108#19151486C2211yescharacteristic, complemented
109#19151485C2211yescharacteristic, complemented
110#19151484C2211yescharacteristic, complemented
111#19151482C2211yescharacteristic, complemented
112#19151482C2211yescharacteristic, complemented
113#19151481C2211yescharacteristic, complemented
114#19151480C2211yescharacteristic, complemented
115#19151479C2211yescharacteristic, complemented
116#19151479C2211yescharacteristic, complemented
117#19151478C2211yescharacteristic
118#19151478C2211yescharacteristic
119#19151478C2211yescharacteristic
120#19151478C2211yescharacteristic
121#19151478C2211yescharacteristic
122#19151478C2211yescharacteristic
123#19151478C2211yescharacteristic
124#19151478C2211yescharacteristic
125#19151478C2211yescharacteristic, complemented
126#19151477C2211yescharacteristic
127#19151477C2211yescharacteristic, complemented
128#19151477C2211yescharacteristic, complemented
129#19151476C2211yescharacteristic, complemented
130#19151475C2211yescharacteristic
131#19151475C2211yescharacteristic
132#19151475C2211yescharacteristic
133#19151475C2211yescharacteristic
134#19151475C2211yescharacteristic
135#19151475C2211yescharacteristic
136#19151475C2211yescharacteristic
137#19151475C2211yescharacteristic, complemented
138#19151474C2211yescharacteristic
139#19151474C2211yescharacteristic
140#19151474C2211yescharacteristic, complemented
141#19151474C2211yescharacteristic, complemented
142#19151474C2211yescharacteristic, complemented
143#19151473C2211yescharacteristic
144#19151472C2211yescharacteristic, complemented
145#19151471C2211yescharacteristic
146#19151471C2211yescharacteristic, complemented
147#19151470C2211yescharacteristic
148#19151470C2211yescharacteristic, complemented
149#19151469C2211yescharacteristic, complemented
150#19151461C2211yescharacteristic, complemented
151#19151460C2211yescharacteristic, complemented
152#19151460C2211yescharacteristic, complemented
153#19151459C2211yescharacteristic
154#19151459C2211yescharacteristic
155#19151459C2211yescharacteristic
156#19151459C2211yescharacteristic
157#19151459C2211yescharacteristic
158#19151459C2211yescharacteristic
159#19151459C2211yescharacteristic
160#19151459C2211yescharacteristic
161#19151459C2211yescharacteristic, complemented
162#19151456C2211yescharacteristic
163#19151456C2211yescharacteristic
164#19151456C2211yescharacteristic
165#19151456C2211yescharacteristic
166#19151456C2211yescharacteristic
167#19151456C2211yescharacteristic
168C2×#15667919C2211yescharacteristic
169C2×#15667919C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C2×#121×C89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×#120×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176C2×C4×D4×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic
178#396×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#394×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic
182#390×C89C2211yescharacteristic
183#388×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#386×C89C2211yescharacteristic
186#385×C89C2211yescharacteristic
187C22×D356C2311yescharacteristic
188C22×C22⋊D89C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C23×Dic89—24no—
199C23×Dic89—42no—
200C23×Dic89—42no—
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C23×Dic89C2311yescharacteristic
209C23×Dic89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212#15667986—42no—
213#15667985—42no—
214#15667984—24no—
215#15667984—24no—
216#15667984—42no—
217#15667984—42no—
218#15667984—42no—
219#15667984—42no—
220#15667984—42no—
221#15667984—42no—
222#15667984—42no—
223#15667983—42no—
224#15667981—42no—
225#15667981—42no—
226D4×Dic89—42no—
227C4×C22⋊D89—42no—
228#15667972—42no—
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×C22⋊Dic89—42no—
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
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×C4×Dic89C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288#15667919C2311yescharacteristic
289#15667919C2311yescharacteristic
290#15667919C2311yescharacteristic
291#15667919C2311yescharacteristic
292#15667919C2311yescharacteristic
293#15667919C2311yescharacteristic
294#15667919C2311yescharacteristic
295#15667919C2311yescharacteristic
296#15667919C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328C25×C89C2311yescharacteristic
329C22×D4×C89C2311yescharacteristic
330C22×D4×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339#121×C89—42no—
340#121×C89—42no—
341#120×C89—42no—
342#120×C89—42no—
343C4×D4×C89—42no—
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C42×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C23×D89C2411yescharacteristic
371C2×D356—41no—
372C2×D356—41no—
373C2×D356—41no—
374C2×C22⋊D89—22no—
375C2×C22⋊D89—22no—
376C2×C22⋊D89—22no—
377C2×C22⋊D89—22no—
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C22×Dic89—22no—
405C22×Dic89—22no—
406C22×Dic89—22no—
407C22×Dic89—22no—
408C22×Dic89—22no—
409C22×Dic89—22no—
410C22×Dic89—22no—
411C22×Dic89—22no—
412C22×Dic89—22no—
413C22×Dic89—22no—
414C22×Dic89—22no—
415C22×Dic89—41no—
416C22×Dic89—41no—
417C22×Dic89—41no—
418C22×Dic89—41no—
419C22×Dic89—41no—
420C22×Dic89—41no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89—41no—
429C22×Dic89—41no—
430C22×Dic89—416no—
431C22×Dic89#4114yes—
432C22×Dic89C2411yescharacteristic
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C4⋊Dic89—41no—
453C4⋊Dic89—41no—
454C4⋊Dic89—41no—
455C4⋊Dic89—41no—
456#13083553—22no—
457#13083553—22no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
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—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474C22⋊Dic89—22no—
475C22⋊Dic89—22no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488C22⋊Dic89—41no—
489C22⋊Dic89—41no—
490C22⋊Dic89—41no—
491#13083551—22no—
492#13083551—22no—
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—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C24×C89—22no—
511C24×C89—22no—
512C24×C89—22no—
513C24×C89—22no—
514C24×C89—22no—
515C24×C89—41no—
516C24×C89—41no—
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C24×C89C2411yescharacteristic
520C24×C89C2411yescharacteristic
521C24×C89C2411yescharacteristic
522C2×D4×C89—22no—
523C2×D4×C89—22no—
524C2×D4×C89—22no—
525C2×D4×C89—22no—
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—22no—
531C2×D4×C89—22no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C2×D4×C89—41no—
538C2×D4×C89—41no—
539C2×D4×C89—41no—
540C2×D4×C89—41no—
541C2×D4×C89—41no—
542C2×D4×C89—41no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—41no—
546C22×C4×C89—41no—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
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—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89—41no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89—41no—
581C42×C89—41no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—28no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89—44no—
617C23×C89—44no—
618C23×C89—44no—
619C23×C89C2×#4112yes—
620C23×C89H(5,𝔽2)12yes—
621C23×C89H(5,𝔽2)12yes—
622C23×C89H(5,𝔽2)12yes—
623C23×C89H(5,𝔽2)12yes—
624C23×C89C2511yescharacteristic
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—21no—
632C22×D89—21no—
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—21no—
636C22×D89—21no—
637C22×D89—21no—
638C22×D89—21no—
639D4×C89—44no—
640D4×C89—44no—
641D4×C89—82no—
642D4×C89—82no—
643D4×C89—82no—
644D4×C89—82no—
645D4×C89—82no—
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—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—82no—
677C2×C4×C89—82no—
678C2×C4×C89—82no—
679C22⋊D89—44no—
680C22⋊D89—44no—
681C22⋊D89—82no—
682C22⋊D89—82no—
683C22⋊D89—82no—
684C22⋊D89—82no—
685C22⋊D89—82no—
686C22⋊D89—82no—
687C22⋊D89—82no—
688C22⋊D89—82no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—21no—
728C2×Dic89—21no—
729C2×Dic89—44no—
730C2×Dic89—44no—
731C2×Dic89—44no—
732C2×Dic89—44no—
733C2×Dic89—44no—
734C2×Dic89—44no—
735C2×Dic89—82no—
736C2×Dic89—82no—
737C2×Dic89—82no—
738C2×Dic89C2×#4112yes—
739C2×Dic89C2×#4112yes—
740D356—82no—
741C4×D89—82no—
742C4×D89—82no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—22no—
746C22×C89—22no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
755C22×C89—416no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—41no—
772C22×C89—41no—
773C22×C89—41no—
774C22×C89—41no—
775C22×C89—41no—
776C22×C89—41no—
777C22×C89—41no—
778C22×C89#54014yes—
779C22×C89C22×#4111yescharacteristic
780C22×C89C2×H(5,𝔽2)11yescharacteristic
781C22×C89C2×H(5,𝔽2)11yescharacteristic
782C22×C89C2×H(5,𝔽2)11yescharacteristic
783C22×C89C2×H(5,𝔽2)11yescharacteristic
784C22×C89#58511yescharacteristic
785C22×C89#58511yescharacteristic
786C2×D89—41no—
787C2×D89—41no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C2×D89—41no—
798C2×D89—41no—
799C2×D89—41no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810Dic89—22no—
811Dic89—22no—
812Dic89—41no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822Dic89—41no—
823Dic89—41no—
824#36731—891nomaximal, Sylow
825C2×C89—24no—
826C2×C89—42no—
827C2×C89—42no—
828C2×C89—81no—
829C2×C89—81no—
830C2×C89C2×#54011yescharacteristic
831C2×C89#349011yescharacteristic
832C2×C89#349311yescharacteristic
833C2×C89#353411yescharacteristic
834C2×C89#353411yescharacteristic
835C2×C89#353411yescharacteristic
836C2×C89#353411yescharacteristic
837D89—81no—
838D89—81no—
839#2847—891no—
840#2847—891no—
841#2743—891no—
842#2743—891no—
843#2743—891no—
844#2743—891no—
845#2740—891no—
846#2740—891no—
847#2740—891no—
848#2740—891no—
849#2699—891no—
850#2699—891no—
851#2699—891no—
852#2699—891no—
853#2688—891no—
854#2688—891no—
855#2688—891no—
856#2688—891no—
857#2656—891no—
858#2646—891no—
859#2444—891no—
860#2444—891no—
861#2444—891no—
862#2444—891no—
863#2424—891no—
864#2424—891no—
865#2424—891no—
866#2424D8911yescharacteristic, complemented
867#2325—891no—
868#2325—891no—
869C2×#381—891no—
870C89#3673111yescharacteristic, complemented, Sylow
871C24×C4—891no—
872C2×#121—891no—
873C2×#121—891no—
874C2×#121—891no—
875C2×#121—891no—
876C2×#121—891no—
877C2×#121—891no—
878C2×#121—891no—
879C2×#121—891no—
880C2×#121—891no—
881C2×#121—891no—
882C2×#121—891no—
883C2×#121—891no—
884C2×#121C2×D8911yescharacteristic
885C2×#121C2×D8911yescharacteristic
886C2×#120—891no—
887C2×#120—891no—
888C2×#120C2×D8911yescharacteristic
889C2×#120C2×D8911yescharacteristic
890C2×C4×D4—891no—
891C2×C4×D4—891no—
892C2×C4×D4—891no—
893C2×C4×D4C2×D8911yescharacteristic
894C22×C22⋊C4—891no—
895C22×C22⋊C4C2×D8911yescharacteristic
896#400—891no—
897#400—891no—
898#400—891no—
899#400—891no—
900#400—891no—
901#400—891no—
902#400—891no—
903#400—891no—
904#399—891no—
905#399—891no—
906#399—891no—
907#399—891no—
908#398—891no—
909#398—891no—
910#398—891no—
911#398—891no—
912#397—891no—
913#397—891no—
914#397—891no—
915#397—891no—
916#397—891no—
917#397—891no—
918#397—891no—
919#397—891no—
920#396—891no—
921#396—891no—
922#396—891no—
923#396C2×D8911yescharacteristic
924#394—891no—
925#394—891no—
926#394—891no—
927#394—891no—
928#394—891no—
929#394—891no—
930#394—891no—
931#394—891no—
932#394—891no—
933#394—891no—
934#394C2×D8911yescharacteristic
935#394C2×D8911yescharacteristic
936#392—891no—
937#392—891no—
938#392—891no—
939#392—891no—
940#392—891no—
941#392—891no—
942#392—891no—
943#392C2×D8911yescharacteristic
944#390—891no—
945#390—891no—
946#390—891no—
947#390C2×D8911yescharacteristic
948#388—891no—
949#388—891no—
950#388—891no—
951#388—891no—
952#388—891no—
953#388—891no—
954#388—891no—
955#388—891no—
956#388—891no—
957#388—891no—
958#388—891no—
959#388C2×D8911yescharacteristic
960#387—891no—
961#387—891no—
962#387—891no—
963#387—891no—
964#387—891no—
965#387—891no—
966#387—891no—
967#387—891no—
968#386—891no—
969#386—891no—
970#386—891no—
971#386—891no—
972#386—891no—
973#386—891no—
974#386—891no—
975#386—891no—
976#386—891no—
977#386—891no—
978#386—891no—
979#386—891no—
980#386—891no—
981#386—891no—
982#386—891no—
983#386—891no—
984#386—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386—891no—
993#386—891no—
994#386C2×D8911yescharacteristic
995#386C2×D8911yescharacteristic
996#385—891no—
997#385—891no—
998#385—891no—
999#385—891no—
1000#385—891no—
1001#385—891no—
1002#385—891no—
1003#385C2×D8911yescharacteristic
1004#381—891no—
1005#381—891no—
1006#381—891no—
1007#381—891no—
1008#381—891no—
1009#381—891no—
1010#381—891no—
1011#381—891no—
1012#381—891no—
1013#381—891no—
1014#381—891no—
1015#381—891no—
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#380—891no—
1021#380—891no—
1022C2×#95—891no—
1023C2×#95—891no—
1024C2×#95—891no—
1025C2×#95—891no—
1026C25C22×D8911yescharacteristic
1027C22×D4—891no—
1028C22×D4—891no—
1029C22×D4—891no—
1030C22×D4—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4C22×D8911yescharacteristic
1039C22×D4C22×D8911yescharacteristic
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
1043C22×D4C22×D8911yescharacteristic
1044C22×D4C22×D8911yescharacteristic
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4—891no—
1053C23×C4—891no—
1054C23×C4—891no—
1055C23×C4—891no—
1056C23×C4—3562no—
1057C23×C4—3562no—
1058C23×C4—1784no—
1059C23×C4C22×D8911yescharacteristic
1060C23×C4C22×D8911yescharacteristic
1061C23×C4C22×D8911yescharacteristic
1062#121—42no—
1063#121—42no—
1064#121—3562no—
1065#121—3562no—
1066#121—3562no—
1067#121—3562no—
1068#121—3562no—
1069#121—3562no—
1070#121—3562no—
1071#121—3562no—
1072#121—3562no—
1073#121—3562no—
1074#121—1784no—
1075#121—1784no—
1076#120—42no—
1077#120—42no—
1078#120—3562no—
1079#120—3562no—
1080C4×D4—42no—
1081C4×D4—3562no—
1082C4×D4—3562no—
1083C4×D4—3562no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4C22×D8911yescharacteristic
1103C2×C4⋊C4C22×D8911yescharacteristic
1104C2×C4⋊C4C22×D8911yescharacteristic
1105C2×C4⋊C4C22×D8911yescharacteristic
1106C2×C22⋊C4—42no—
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—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—3562no—
1145C2×C22⋊C4C22×D8911yescharacteristic
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C22⋊C4C22×D8911yescharacteristic
1149C2×C22⋊C4C22×D8911yescharacteristic
1150C2×C22⋊C4C22×D8911yescharacteristic
1151C2×C22⋊C4C22×D8911yescharacteristic
1152C2×C22⋊C4C22×D8911yescharacteristic
1153C2×C22⋊C4C22×D8911yescharacteristic
1154C2×C22⋊C4C22×D8911yescharacteristic
1155C2×C22⋊C4C22×D8911yescharacteristic
1156C2×C22⋊C4C22×D8911yescharacteristic
1157C2×C22⋊C4C22×D8911yescharacteristic
1158C2×C22⋊C4C22×D8911yescharacteristic
1159C2×C22⋊C4C22×D8911yescharacteristic
1160C2×C42—891no—
1161C2×C42—891no—
1162C2×C42—891no—
1163C2×C42C22×D8911yescharacteristic
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95C22×D8911yescharacteristic
1205#95C22×D8911yescharacteristic
1206#95C22×D8911yescharacteristic
1207#95C22×D8911yescharacteristic
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—41no—
1214C24—41no—
1215C24—891no—
1216C24—891no—
1217C24C23×D8911yescharacteristic
1218C24C23×D8911yescharacteristic
1219C24C23×D8911yescharacteristic
1220C24C23×D8911yescharacteristic
1221C24C23×D8911yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—3561no—
1259C2×D4—3561no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—1782no—
1265C2×D4—1782no—
1266C2×D4—1782no—
1267C2×D4—1782no—
1268C2×D4—1782no—
1269C2×D4—1782no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—894no—
1286C22×C4—891no—
1287C22×C4—891no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
1296C22×C4—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—891no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—35616no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—3561no—
1310C22×C4—3561no—
1311C22×C4—3561no—
1312C22×C4—3561no—
1313C22×C4—3561no—
1314C22×C4—3561no—
1315C22×C4—3561no—
1316C22×C4—3561no—
1317C22×C4—3561no—
1318C22×C4—3561no—
1319C22×C4—3561no—
1320C22×C4—3561no—
1321C22×C4—3561no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
1325C22×C4—1782no—
1326C22×C4—1782no—
1327C22×C4—1782no—
1328C22×C4—1782no—
1329C22×C4—1782no—
1330C22×C4—1782no—
1331C22×C4—1782no—
1332C22×C4—1782no—
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C22×C4C23×D8911yescharacteristic
1341C22×C4C23×D8911yescharacteristic
1342C22×C4C23×D8911yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—3561no—
1356C4⋊C4—3561no—
1357C4⋊C4—3561no—
1358C4⋊C4—3561no—
1359C4⋊C4—3561no—
1360C4⋊C4—3561no—
1361C4⋊C4—3561no—
1362C4⋊C4—3561no—
1363C4⋊C4—1782no—
1364C4⋊C4—1782no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—3561no—
1408C22⋊C4—3561no—
1409C22⋊C4—1782no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C42—41no—
1418C42—3561no—
1419C42—3561no—
1420C42—3561no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—28no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—1781no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1781no—
1467C23—1781no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—1781no—
1472C23#41×D8912yes—
1473C23#1566805712yes—
1474C23#1566805712yes—
1475C23#1566805712yes—
1476C23#1566805812yes—
1477C23C24×D8911yescharacteristic
1478D4—44no—
1479D4—44no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—3564no—
1486D4—3564no—
1487D4—7122no—
1488D4—7122no—
1489D4—7122no—
1490D4—7122no—
1491D4—7122no—
1492D4—7122no—
1493D4—7122no—
1494D4—7122no—
1495D4—7122no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—892no—
1530C2×C4—892no—
1531C2×C4—3564no—
1532C2×C4—3564no—
1533C2×C4—3564no—
1534C2×C4—3564no—
1535C2×C4—3564no—
1536C2×C4—3564no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—1781no—
1569C2×C4—1781no—
1570C2×C4—1781no—
1571C2×C4—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—1781no—
1576C2×C4—1781no—
1577C2×C4—7122no—
1578C2×C4—7122no—
1579C2×C4—7122no—
1580C2×C4—7122no—
1581C2×C4—7122no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—416no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—3561no—
1621C22—3561no—
1622C22—3561no—
1623C22—3561no—
1624C22—3561no—
1625C22—3561no—
1626C22—3561no—
1627C22—3561no—
1628C22—3561no—
1629C22—3561no—
1630C22—3561no—
1631C22#1915219814yes—
1632C22C2×#41×D8911yescharacteristic
1633C22C2×#1566805711yescharacteristic
1634C22C2×#1566805711yescharacteristic
1635C22C2×#1566805711yescharacteristic
1636C22C2×#1566805811yescharacteristic
1637C22#1915243311yescharacteristic
1638C22#1915243311yescharacteristic
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—3561no—
1656C4—3561no—
1657C4—3561no—
1658C4—3561no—
1659C4—3561no—
1660C4—3561no—
1661C4—1782no—
1662C4—1782no—
1663C2—24no—
1664C2—42no—
1665C2—42no—
1666C2—81no—
1667C2—81no—
1668C2—7121no—
1669C2—7121no—
1670C2C2×#1915219811yescharacteristic
1671C2#2603393511yescharacteristic
1672C2#2603396711yescharacteristic
1673C2#2603443011yescharacteristic
1674C2#2603443011yescharacteristic
1675C2#2603443811yescharacteristic
1676C2#2603443811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2424C2
hypercenter#2424D89
hypocenterC89#36731
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #26028532C2semidirect
2. #26028532C2semidirect
3. #26027397C2semidirect
4. #26027393C2semidirect
5. #26027389C2semidirect
6. #26027385C2semidirect
7. #26027358C2semidirect
8. #26027354C2semidirect
9. #26027350C2semidirect
10. #26027346C2semidirect
11. #26026842C2semidirect
12. #26026840C2semidirect
13. #26026837C2semidirect
14. #26026835C2semidirect
15. #26026694C2semidirect
16. #26026690C2semidirect
17. #26026686C2semidirect
18. #26026682C2semidirect
19. #26026356C2semidirect
20. #26026224C2semidirect
21. #26024006C2semidirect
22. #26024004C2semidirect
23. #26023998C2semidirect
24. #26023996C2semidirect
25. #26023792C2semidirect
26. #26023788C2semidirect
27. #26023784C2semidirect
28. #26022953C2semidirect
29. #26022950C2semidirect
30. C2×#19151459C2semidirect
31. C89×#2424C2semidirect
51. #19151540C22semidirect
52. #19151539C22semidirect
53. #19151539C22semidirect
54. #19151539C22semidirect
55. #19151538C22semidirect
56. #19151537C22semidirect
57. #19151536C22semidirect
58. #19151536C22semidirect
59. #19151534C22semidirect
60. #19151534C22semidirect
61. #19151533C22semidirect
62. #19151533C22semidirect
63. #19151532C22semidirect
64. #19151531C22semidirect
65. #19151529C22semidirect
66. #19151528C22semidirect
67. #19151527C22semidirect
68. #19151526C22semidirect
69. #19151526C22semidirect
70. #19151526C22semidirect
71. #19151525C22semidirect
72. #19151524C22semidirect
73. #19151524C22semidirect
74. #19151523C22semidirect
78. #19151515C22semidirect
81. #19151514C22semidirect
84. #19151513C22semidirect
87. #19151512C22semidirect
89. #19151507C22semidirect
90. #19151507C22semidirect
93. #19151506C22semidirect
94. #19151506C22semidirect
99. #19151492C22semidirect
101. #19151491C22semidirect
102. #19151489C22semidirect
103. #19151489C22semidirect
104. #19151488C22semidirect
105. #19151487C22semidirect
107. #19151486C22semidirect
108. #19151486C22semidirect
109. #19151485C22semidirect
110. #19151484C22semidirect
111. #19151482C22semidirect
112. #19151482C22semidirect
113. #19151481C22semidirect
114. #19151480C22semidirect
115. #19151479C22semidirect
116. #19151479C22semidirect
125. #19151478C22semidirect
127. #19151477C22semidirect
128. #19151477C22semidirect
129. #19151476C22semidirect
137. #19151475C22semidirect
140. #19151474C22semidirect
141. #19151474C22semidirect
142. #19151474C22semidirect
144. #19151472C22semidirect
146. #19151471C22semidirect
148. #19151470C22semidirect
149. #19151469C22semidirect
150. #19151461C22semidirect
151. #19151460C22semidirect
152. #19151460C22semidirect
161. #19151459C22semidirect
866. #2424D89semidirect
870. C89#36731semidirect

Maximal subgroups

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

subgroupindex
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C2×#191514592
C89×#24242
#3673189