Finite Group Databasebeta

← #36763238

Subgroups — #36763238

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#26028546C211yesmaximal, characteristic, complemented
2#26028532C211yesmaximal, characteristic, complemented
3#26028198C211yesmaximal, characteristic, complemented
4#26028107C211yesmaximal, characteristic, complemented
5#26027995C211yesmaximal, characteristic, complemented
6#26027954C211yesmaximal, characteristic, complemented
7#26027902C211yesmaximal, characteristic, complemented
8#26027872C211yesmaximal, characteristic, complemented
9#26027499C211yesmaximal, characteristic, complemented
10#26027496C211yesmaximal, characteristic, complemented
11#26027415C211yesmaximal, characteristic, complemented
12#26027043C211yesmaximal, characteristic, complemented
13#26026992C211yesmaximal, characteristic, complemented
14#26026972C211yesmaximal, characteristic, complemented
15#26026972C211yesmaximal, characteristic, complemented
16#26026794C211yesmaximal, characteristic, complemented
17#26026660C211yesmaximal, characteristic, complemented
18#26026616C211yesmaximal, characteristic, complemented
19#26026208C211yesmaximal, characteristic, complemented
20#26026182C211yesmaximal, characteristic, complemented
21#26024510C211yesmaximal, characteristic, complemented
22#26024375C211yesmaximal, characteristic, complemented
23#26023985C211yesmaximal, characteristic, complemented
24#26023922C211yesmaximal, characteristic, complemented
25#26023864C211yesmaximal, characteristic, complemented
26#26023792C211yesmaximal, characteristic, complemented
27#26023571C211yesmaximal, characteristic, complemented
28#26022924C211yesmaximal, characteristic, complemented
29#26022840C211yesmaximal, characteristic, complemented
30C2×#19151473C211yesmaximal, characteristic, complemented
31C89×#2411C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C24×Dic89C2211yescharacteristic
34C2×#15668007C2211yescharacteristic, complemented
35C2×#15667998C2211yescharacteristic
36C2×#15667996C2211yescharacteristic
37C2×#15667996C2211yescharacteristic
38C2×#15667996C2211yescharacteristic, complemented
39C2×#15667989C2211yescharacteristic
40C2×#15667984C2211yescharacteristic
41C2×#15667984C2211yescharacteristic
42C2×#15667984C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667984C2211yescharacteristic
45C2×#15667981C2211yescharacteristic
46C2×#15667981C2211yescharacteristic
47C2×D4×Dic89C2211yescharacteristic
48C22×C4⋊Dic89C2211yescharacteristic
49C22×C4⋊Dic89C2211yescharacteristic
50C22×C22⋊Dic89C2211yescharacteristic
51C89⋊#401C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151540C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151537C2211yescharacteristic, complemented
57#19151537C2211yescharacteristic, complemented
58#19151537C2211yescharacteristic, complemented
59#19151536C2211yescharacteristic, complemented
60#19151535C2211yescharacteristic, complemented
61#19151531C2211yescharacteristic, complemented
62#19151531C2211yescharacteristic, complemented
63#19151530C2211yescharacteristic, complemented
64#19151527C2211yescharacteristic, complemented
65#19151527C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic
67#19151526C2211yescharacteristic, complemented
68#19151525C2211yescharacteristic, complemented
69#19151525C2211yescharacteristic, complemented
70#19151524C2211yescharacteristic, complemented
71#19151523C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic
73#19151520C2211yescharacteristic, complemented
74#19151520C2211yescharacteristic, complemented
75#19151518C2211yescharacteristic, complemented
76#19151518C2211yescharacteristic, complemented
77#19151515C2211yescharacteristic, complemented
78#19151514C2211yescharacteristic
79#19151514C2211yescharacteristic
80#19151514C2211yescharacteristic, complemented
81#19151514C2211yescharacteristic, complemented
82#19151513C2211yescharacteristic
83#19151513C2211yescharacteristic, complemented
84#19151512C2211yescharacteristic
85#19151511C2211yescharacteristic, complemented
86#19151510C2211yescharacteristic
87#19151510C2211yescharacteristic
88#19151510C2211yescharacteristic
89#19151510C2211yescharacteristic, complemented
90#19151510C2211yescharacteristic, complemented
91#19151507C2211yescharacteristic
92#19151507C2211yescharacteristic
93#19151507C2211yescharacteristic, complemented
94#19151506C2211yescharacteristic
95#19151504C2211yescharacteristic, complemented
96#19151504C2211yescharacteristic, complemented
97#19151504C2211yescharacteristic, complemented
98#19151500C2211yescharacteristic, complemented
99#19151500C2211yescharacteristic, complemented
100#19151498C2211yescharacteristic
101#19151498C2211yescharacteristic
102#19151497C2211yescharacteristic, complemented
103#19151497C2211yescharacteristic, complemented
104#19151496C2211yescharacteristic, complemented
105#19151492C2211yescharacteristic
106#19151491C2211yescharacteristic
107#19151491C2211yescharacteristic, complemented
108#19151491C2211yescharacteristic, complemented
109#19151490C2211yescharacteristic, complemented
110#19151490C2211yescharacteristic, complemented
111#19151486C2211yescharacteristic
112#19151484C2211yescharacteristic, complemented
113#19151484C2211yescharacteristic, complemented
114#19151484C2211yescharacteristic, complemented
115#19151483C2211yescharacteristic, complemented
116#19151482C2211yescharacteristic, complemented
117#19151482C2211yescharacteristic, complemented
118#19151481C2211yescharacteristic, complemented
119#19151478C2211yescharacteristic
120#19151478C2211yescharacteristic
121#19151478C2211yescharacteristic
122#19151478C2211yescharacteristic
123#19151477C2211yescharacteristic
124#19151477C2211yescharacteristic
125#19151475C2211yescharacteristic
126#19151475C2211yescharacteristic
127#19151475C2211yescharacteristic
128#19151475C2211yescharacteristic
129#19151475C2211yescharacteristic
130#19151475C2211yescharacteristic
131#19151475C2211yescharacteristic
132#19151475C2211yescharacteristic
133#19151475C2211yescharacteristic
134#19151475C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic
137#19151474C2211yescharacteristic
138#19151474C2211yescharacteristic
139#19151474C2211yescharacteristic, complemented
140#19151474C2211yescharacteristic, complemented
141#19151473C2211yescharacteristic
142#19151473C2211yescharacteristic
143#19151473C2211yescharacteristic
144#19151473C2211yescharacteristic
145#19151473C2211yescharacteristic
146#19151473C2211yescharacteristic
147#19151473C2211yescharacteristic
148#19151473C2211yescharacteristic
149#19151473C2211yescharacteristic
150#19151473C2211yescharacteristic
151#19151473C2211yescharacteristic
152#19151473C2211yescharacteristic
153#19151473C2211yescharacteristic, complemented
154#19151473C2211yescharacteristic, complemented
155#19151473C2211yescharacteristic, complemented
156#19151470C2211yescharacteristic
157#19151469C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151461C2211yescharacteristic
160#19151459C2211yescharacteristic
161#19151459C2211yescharacteristic
162#19151456C2211yescharacteristic
163#19151456C2211yescharacteristic
164#19151456C2211yescharacteristic
165#19151455C2211yescharacteristic, complemented
166#19151455C2211yescharacteristic, complemented
167#19151455C2211yescharacteristic, complemented
168#19151455C2211yescharacteristic, complemented
169C22⋊C4×Dic89C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C2×#123×C89C2211yescharacteristic
173C2×#120×C89C2211yescharacteristic
174C2×#117×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176#396×C89C2211yescharacteristic
177#396×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#390×C89C2211yescharacteristic
181#390×C89C2211yescharacteristic
182#388×C89C2211yescharacteristic
183#388×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C2×#13083574—24no—
188C2×#13083574—42no—
189C2×#13083574—42no—
190C22×Dic178C2311yescharacteristic
191C22×Dic178C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C23×Dic89—42no—
202C23×Dic89—42no—
203C23×Dic89—42no—
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C23×Dic89C2311yescharacteristic
209C23×Dic89C2311yescharacteristic
210C23×Dic89C2311yescharacteristic
211C23×Dic89C2311yescharacteristic
212C23×Dic89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15668007—42no—
216#15667998—42no—
217#15667996—42no—
218#15667996—42no—
219#15667996—42no—
220#15667989—42no—
221#15667984—42no—
222#15667984—42no—
223#15667984—42no—
224#15667984—42no—
225#15667984—42no—
226#15667981—42no—
227#15667981—42no—
228D4×Dic89—42no—
229C2×C4⋊Dic89—42no—
230C2×C4⋊Dic89—42no—
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×C4⋊Dic89C2311yescharacteristic
234C2×C4⋊Dic89C2311yescharacteristic
235C2×C4⋊Dic89C2311yescharacteristic
236C2×C4⋊Dic89C2311yescharacteristic
237C2×C4⋊Dic89C2311yescharacteristic
238C2×C4⋊Dic89C2311yescharacteristic
239C2×C4⋊Dic89C2311yescharacteristic
240C2×C4⋊Dic89C2311yescharacteristic
241C2×C4⋊Dic89C2311yescharacteristic
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×C22⋊Dic89—42no—
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×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
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
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330C25×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336#123×C89—24no—
337#120×C89—42no—
338#117×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×C22⋊C4×C89—24no—
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×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×C42×C89C2311yescharacteristic
364C2×C42×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C23×D89C2411yescharacteristic
371#13083574—416no—
372C2×Dic178—22no—
373C2×Dic178—41no—
374C2×Dic178—41no—
375C2×Dic178—41no—
376C2×Dic178—41no—
377C2×Dic178—41no—
378C2×D356—22no—
379C2×D356—41no—
380C2×D356—41no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—22no—
391C2×C22⋊D89—22no—
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—
404C2×C22⋊D89—41no—
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—41no—
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—41no—
431C22×Dic89—41no—
432C22×Dic89—416no—
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
446C22×Dic89C2411yescharacteristic
447C2×C4×D89—22no—
448C2×C4×D89—22no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C4⋊Dic89—22no—
454C4⋊Dic89—22no—
455C4⋊Dic89—22no—
456C4⋊Dic89—41no—
457C4⋊Dic89—41no—
458C4⋊Dic89—41no—
459C4⋊Dic89—41no—
460C4⋊Dic89—41no—
461C4⋊Dic89—41no—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464C4⋊Dic89—41no—
465C4⋊Dic89—41no—
466C4⋊Dic89—41no—
467#13083553—22no—
468#13083553—41no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553—41no—
475C22⋊Dic89—22no—
476C22⋊Dic89—22no—
477C22⋊Dic89—22no—
478C22⋊Dic89—22no—
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—
490#13083551—22no—
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—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C4×Dic89—41no—
511C24×C89—22no—
512C24×C89—22no—
513C24×C89—22no—
514C24×C89—22no—
515C24×C89—22no—
516C24×C89—41no—
517C24×C89—41no—
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—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C22×C4×C89—22no—
532C22×C4×C89—22no—
533C22×C4×C89—22no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89#4114yes—
537C22×C4×C89C2411yescharacteristic
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
548C4⋊C4×C89—22no—
549C4⋊C4×C89—22no—
550C4⋊C4×C89—41no—
551C4⋊C4×C89—41no—
552C4⋊C4×C89—41no—
553C4⋊C4×C89—41no—
554C22⋊C4×C89—22no—
555C22⋊C4×C89—22no—
556C22⋊C4×C89—22no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C42×C89—41no—
572C42×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—28no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
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—44no—
598C23×C89—44no—
599C23×C89—44no—
600C23×C89—44no—
601C23×C89—44no—
602C23×C89—44no—
603C23×C89C2×#4112yes—
604C23×C89H(5,𝔽2)12yes—
605C23×C89H(5,𝔽2)12yes—
606C23×C89H(5,𝔽2)12yes—
607C23×C892−1+412yes—
608C23×C89C2511yescharacteristic
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623D4×C89—44no—
624D4×C89—82no—
625D4×C89—82no—
626C2×C4×C89—28no—
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—44no—
659C2×C4×C89C2×#4112yes—
660C2×C4×C89C2×#4112yes—
661C22⋊D89—44no—
662C22⋊D89—44no—
663C22⋊D89—82no—
664C22⋊D89—82no—
665C22⋊D89—82no—
666C22⋊D89—82no—
667C22⋊D89—82no—
668C22⋊D89—82no—
669C2×Dic89—21no—
670C2×Dic89—21no—
671C2×Dic89—21no—
672C2×Dic89—21no—
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—21no—
709C2×Dic89—21no—
710C2×Dic89—44no—
711C2×Dic89—44no—
712C2×Dic89—44no—
713C2×Dic89—44no—
714C2×Dic89—44no—
715C2×Dic89—44no—
716C2×Dic89—82no—
717C2×Dic89—82no—
718C2×Dic89—82no—
719C2×Dic89H(5,𝔽2)12yes—
720D356—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—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—22no—
737C22×C89—416no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89#53814yes—
754C22×C89C22×#4111yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89C2×H(5,𝔽2)11yescharacteristic
757C22×C89C2×H(5,𝔽2)11yescharacteristic
758C22×C89C2×H(5,𝔽2)11yescharacteristic
759C22×C89C2×2−1+411yescharacteristic
760C22×C89#58511yescharacteristic
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—
786Dic89—22no—
787Dic89—41no—
788Dic89—41no—
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—42no—
803C2×C89—42no—
804C2×C89—81no—
805C2×C89C2×#53811yescharacteristic
806C2×C89#349211yescharacteristic
807C2×C89#350611yescharacteristic
808C2×C89#353211yescharacteristic
809C2×C89#353411yescharacteristic
810C2×C89#353511yescharacteristic
811C2×C89#353611yescharacteristic
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#2411D8911yescharacteristic, complemented
841#2404—891no—
842#2322—891no—
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×#120C2×D8911yescharacteristic
863C2×C4×D4—891no—
864C2×#117C2×D8911yescharacteristic
865C22×C4⋊C4—891no—
866C22×C4⋊C4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4C2×D8911yescharacteristic
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#396C2×D8911yescharacteristic
894#396C2×D8911yescharacteristic
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#394C2×D8911yescharacteristic
906#394C2×D8911yescharacteristic
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#390C2×D8911yescharacteristic
925#390C2×D8911yescharacteristic
926#389—891no—
927#389—891no—
928#389—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388C2×D8911yescharacteristic
937#388C2×D8911yescharacteristic
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#387—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#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#385—891no—
985#385—891no—
986#385C2×D8911yescharacteristic
987#381—891no—
988#381—891no—
989#381—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380—891no—
997#379C2×D8911yescharacteristic
998C4×C22⋊C4—891no—
999C2×#95—891no—
1000C2×#95—891no—
1001C25C22×D8911yescharacteristic
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×D4C22×D8911yescharacteristic
1017C22×D4C22×D8911yescharacteristic
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—891no—
1029C23×C4—891no—
1030C23×C4—3562no—
1031C23×C4—3562no—
1032C23×C4—3562no—
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—42no—
1048#120—3562no—
1049#120—3562no—
1050C4×D4—3562no—
1051#117—42no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—3562no—
1075C2×C4⋊C4—3562no—
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—24no—
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—3562no—
1117C2×C22⋊C4C22×D8911yescharacteristic
1118C2×C22⋊C4C22×D8911yescharacteristic
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
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#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—891no—
1191C24—891no—
1192C24C23×D8911yescharacteristic
1193C24C23×D8911yescharacteristic
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—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
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—3561no—
1226C2×D4—3561no—
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—41no—
1243C22×C4—41no—
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—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—3561no—
1259C22×C4—3561no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—35616no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—3561no—
1278C22×C4—3561no—
1279C22×C4—3561no—
1280C22×C4—3561no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4#1308357314yes—
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—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
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—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
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—3561no—
1372C22⋊C4—3561no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C42—41no—
1383C42—41no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
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—
1431C23C2×#1308357312yes—
1432C23#1566805712yes—
1433C23#1566805812yes—
1434C23#1566805812yes—
1435C23#1566805912yes—
1436C23C24×D8911yescharacteristic
1437Q8—3564no—
1438Q8—7122no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—3564no—
1443D4—3564no—
1444D4—3564no—
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—44no—
1484C2×C4—892no—
1485C2×C4—3564no—
1486C2×C4—3564no—
1487C2×C4—3564no—
1488C2×C4—3564no—
1489C2×C4—3564no—
1490C2×C4—3564no—
1491C2×C4—3564no—
1492C2×C4—3564no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
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—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—7122no—
1535C2×C4—7122no—
1536C2×C4—7122no—
1537C2×C4C2×#1308357312yes—
1538C2×C4C2×#1308357312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—3561no—
1571C22—3561no—
1572C22—3561no—
1573C22—3561no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22#1915218514yes—
1582C22C22×#1308357311yescharacteristic
1583C22H(5,𝔽2)×D8911yescharacteristic
1584C22C2×#1566805711yescharacteristic
1585C22C2×#1566805811yescharacteristic
1586C22C2×#1566805811yescharacteristic
1587C22C2×#1566805911yescharacteristic
1588C22#1915243311yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3561no—
1601C4—3561no—
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—42no—
1616C2—42no—
1617C2—81no—
1618C2—7121no—
1619C2—7121no—
1620C2C2×#1915218511yescharacteristic
1621C2#2603395811yescharacteristic
1622C2#2603410311yescharacteristic
1623C2#2603440811yescharacteristic
1624C2#2603443811yescharacteristic
1625C2#2603445711yescharacteristic
1626C2#2603446711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2411C2
hypercenter#2411D89
hypocenterC89#36791
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. #26028546C2semidirect
2. #26028532C2semidirect
3. #26028198C2semidirect
4. #26028107C2semidirect
5. #26027995C2semidirect
6. #26027954C2semidirect
7. #26027902C2semidirect
8. #26027872C2semidirect
9. #26027499C2semidirect
10. #26027496C2semidirect
11. #26027415C2semidirect
12. #26027043C2semidirect
13. #26026992C2semidirect
14. #26026972C2semidirect
15. #26026972C2semidirect
16. #26026794C2semidirect
17. #26026660C2semidirect
18. #26026616C2semidirect
19. #26026208C2semidirect
20. #26026182C2semidirect
21. #26024510C2semidirect
22. #26024375C2semidirect
23. #26023985C2semidirect
24. #26023922C2semidirect
25. #26023864C2semidirect
26. #26023792C2semidirect
27. #26023571C2semidirect
28. #26022924C2semidirect
29. #26022840C2semidirect
30. C2×#19151473C2semidirect
31. C89×#2411C2semidirect
34. C2×#15668007C22semidirect
38. C2×#15667996C22semidirect
51. C89⋊#401C22semidirect
52. #19151540C22semidirect
53. #19151540C22semidirect
54. #19151540C22semidirect
55. #19151539C22semidirect
56. #19151537C22semidirect
57. #19151537C22semidirect
58. #19151537C22semidirect
59. #19151536C22semidirect
60. #19151535C22semidirect
61. #19151531C22semidirect
62. #19151531C22semidirect
63. #19151530C22semidirect
64. #19151527C22semidirect
65. #19151527C22semidirect
67. #19151526C22semidirect
68. #19151525C22semidirect
69. #19151525C22semidirect
70. #19151524C22semidirect
71. #19151523C22semidirect
73. #19151520C22semidirect
74. #19151520C22semidirect
75. #19151518C22semidirect
76. #19151518C22semidirect
77. #19151515C22semidirect
80. #19151514C22semidirect
81. #19151514C22semidirect
83. #19151513C22semidirect
85. #19151511C22semidirect
89. #19151510C22semidirect
90. #19151510C22semidirect
93. #19151507C22semidirect
95. #19151504C22semidirect
96. #19151504C22semidirect
97. #19151504C22semidirect
98. #19151500C22semidirect
99. #19151500C22semidirect
102. #19151497C22semidirect
103. #19151497C22semidirect
104. #19151496C22semidirect
107. #19151491C22semidirect
108. #19151491C22semidirect
109. #19151490C22semidirect
110. #19151490C22semidirect
112. #19151484C22semidirect
113. #19151484C22semidirect
114. #19151484C22semidirect
115. #19151483C22semidirect
116. #19151482C22semidirect
117. #19151482C22semidirect
118. #19151481C22semidirect
139. #19151474C22semidirect
140. #19151474C22semidirect
153. #19151473C22semidirect
154. #19151473C22semidirect
155. #19151473C22semidirect
157. #19151469C22semidirect
158. #19151469C22semidirect
165. #19151455C22semidirect
166. #19151455C22semidirect
167. #19151455C22semidirect
168. #19151455C22semidirect
840. #2411D89semidirect
845. C89#36791semidirect

Maximal subgroups

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

subgroupindex
#260285462
#260285322
#260281982
#260281072
#260279952
#260279542
#260279022
#260278722
#260274992
#260274962
#260274152
#260270432
#260269922
#260269722
#260267942
#260266602
#260266162
#260262082
#260261822
#260245102
#260243752
#260239852
#260239222
#260238642
#260237922
#260235712
#260229242
#260228402
C2×#191514732
C89×#24112
#3679189