Finite Group Databasebeta

← #36762718

Subgroups — #36762718

Order 22784.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028542C211yesmaximal, characteristic, complemented
2#26028537C211yesmaximal, characteristic, complemented
3#26027925C211yesmaximal, characteristic, complemented
4#26027484C211yesmaximal, characteristic, complemented
5#26027438C211yesmaximal, characteristic, complemented
6#26027434C211yesmaximal, characteristic, complemented
7#26027393C211yesmaximal, characteristic, complemented
8#26027223C211yesmaximal, characteristic, complemented
9#26026964C211yesmaximal, characteristic, complemented
10#26026964C211yesmaximal, characteristic, complemented
11#26026947C211yesmaximal, characteristic, complemented
12#26026801C211yesmaximal, characteristic, complemented
13#26026786C211yesmaximal, characteristic, complemented
14#26026760C211yesmaximal, characteristic, complemented
15#26026760C211yesmaximal, characteristic, complemented
16#26026729C211yesmaximal, characteristic, complemented
17#26026679C211yesmaximal, characteristic, complemented
18#26026598C211yesmaximal, characteristic, complemented
19#26026224C211yesmaximal, characteristic, complemented
20#26026207C211yesmaximal, characteristic, complemented
21#26024751C211yesmaximal, characteristic, complemented
22#26024495C211yesmaximal, characteristic, complemented
23#26024082C211yesmaximal, characteristic, complemented
24#26023913C211yesmaximal, characteristic, complemented
25#26023710C211yesmaximal, characteristic, complemented
26#26023649C211yesmaximal, characteristic, complemented
27#26023575C211yesmaximal, characteristic, complemented
28#26022913C211yesmaximal, characteristic, complemented
29#26022864C211yesmaximal, characteristic, complemented
30C2×#19151478C211yesmaximal, characteristic, complemented
31C89×#2410C211yesmaximal, characteristic
32C24×Dic89C2211yescharacteristic
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15667993C2211yescharacteristic
35C2×#15667993C2211yescharacteristic
36C2×#15667993C2211yescharacteristic, complemented
37C2×#15667993C2211yescharacteristic, complemented
38C2×#15667993C2211yescharacteristic, complemented
39C2×#15667993C2211yescharacteristic, complemented
40C2×#15667991C2211yescharacteristic, complemented
41C2×#15667989C2211yescharacteristic
42C2×#15667989C2211yescharacteristic, complemented
43C2×#15667989C2211yescharacteristic, complemented
44C2×D4×Dic89C2211yescharacteristic
45C22×C22⋊Dic89C2211yescharacteristic
46C22×C22⋊Dic89C2211yescharacteristic
47C22×C22⋊Dic89C2211yescharacteristic
48C22×C22⋊Dic89C2211yescharacteristic
49C89⋊#401C2211yescharacteristic, complemented
50#19151540C2211yescharacteristic, complemented
51#19151540C2211yescharacteristic, complemented
52#19151539C2211yescharacteristic, complemented
53#19151539C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151539C2211yescharacteristic, complemented
57#19151538C2211yescharacteristic, complemented
58#19151538C2211yescharacteristic, complemented
59#19151536C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151534C2211yescharacteristic, complemented
62#19151534C2211yescharacteristic, complemented
63#19151532C2211yescharacteristic, complemented
64#19151532C2211yescharacteristic, complemented
65#19151531C2211yescharacteristic, complemented
66#19151529C2211yescharacteristic, complemented
67#19151529C2211yescharacteristic, complemented
68#19151528C2211yescharacteristic, complemented
69#19151526C2211yescharacteristic, complemented
70#19151526C2211yescharacteristic, complemented
71#19151526C2211yescharacteristic, complemented
72#19151526C2211yescharacteristic, complemented
73#19151526C2211yescharacteristic, complemented
74#19151526C2211yescharacteristic, complemented
75#19151523C2211yescharacteristic, complemented
76#19151523C2211yescharacteristic, complemented
77#19151523C2211yescharacteristic, complemented
78#19151521C2211yescharacteristic, complemented
79#19151521C2211yescharacteristic, complemented
80#19151521C2211yescharacteristic, complemented
81#19151521C2211yescharacteristic, complemented
82#19151521C2211yescharacteristic, complemented
83#19151512C2211yescharacteristic
84#19151512C2211yescharacteristic
85#19151512C2211yescharacteristic
86#19151512C2211yescharacteristic
87#19151512C2211yescharacteristic, complemented
88#19151512C2211yescharacteristic, complemented
89#19151512C2211yescharacteristic, complemented
90#19151512C2211yescharacteristic, complemented
91#19151510C2211yescharacteristic, complemented
92#19151510C2211yescharacteristic, complemented
93#19151502C2211yescharacteristic, complemented
94#19151501C2211yescharacteristic, complemented
95#19151501C2211yescharacteristic, complemented
96#19151493C2211yescharacteristic, complemented
97#19151492C2211yescharacteristic, complemented
98#19151491C2211yescharacteristic, complemented
99#19151491C2211yescharacteristic, complemented
100#19151491C2211yescharacteristic, complemented
101#19151491C2211yescharacteristic, complemented
102#19151491C2211yescharacteristic, complemented
103#19151486C2211yescharacteristic, complemented
104#19151486C2211yescharacteristic, complemented
105#19151486C2211yescharacteristic, complemented
106#19151485C2211yescharacteristic, complemented
107#19151480C2211yescharacteristic, complemented
108#19151479C2211yescharacteristic, complemented
109#19151478C2211yescharacteristic
110#19151478C2211yescharacteristic
111#19151478C2211yescharacteristic
112#19151478C2211yescharacteristic
113#19151478C2211yescharacteristic
114#19151478C2211yescharacteristic
115#19151478C2211yescharacteristic
116#19151478C2211yescharacteristic
117#19151478C2211yescharacteristic
118#19151478C2211yescharacteristic
119#19151478C2211yescharacteristic
120#19151478C2211yescharacteristic
121#19151478C2211yescharacteristic
122#19151478C2211yescharacteristic, complemented
123#19151478C2211yescharacteristic, complemented
124#19151478C2211yescharacteristic, complemented
125#19151478C2211yescharacteristic, complemented
126#19151478C2211yescharacteristic, complemented
127#19151478C2211yescharacteristic, complemented
128#19151473C2211yescharacteristic
129#19151473C2211yescharacteristic
130#19151473C2211yescharacteristic, complemented
131#19151473C2211yescharacteristic, complemented
132#19151471C2211yescharacteristic
133#19151471C2211yescharacteristic
134#19151471C2211yescharacteristic, complemented
135#19151471C2211yescharacteristic, complemented
136#19151471C2211yescharacteristic, complemented
137#19151471C2211yescharacteristic, complemented
138#19151471C2211yescharacteristic, complemented
139#19151471C2211yescharacteristic, complemented
140#19151470C2211yescharacteristic
141#19151470C2211yescharacteristic
142#19151470C2211yescharacteristic
143#19151470C2211yescharacteristic
144#19151470C2211yescharacteristic
145#19151470C2211yescharacteristic, complemented
146#19151470C2211yescharacteristic, complemented
147#19151470C2211yescharacteristic, complemented
148#19151470C2211yescharacteristic, complemented
149#19151470C2211yescharacteristic, complemented
150#19151470C2211yescharacteristic, complemented
151#19151462C2211yescharacteristic, complemented
152#19151459C2211yescharacteristic, complemented
153#19151459C2211yescharacteristic, complemented
154#19151459C2211yescharacteristic, complemented
155#19151458C2211yescharacteristic, complemented
156#19151456C2211yescharacteristic
157#19151456C2211yescharacteristic
158#19151456C2211yescharacteristic
159#19151456C2211yescharacteristic, complemented
160#19151456C2211yescharacteristic, complemented
161#19151456C2211yescharacteristic, complemented
162#19151456C2211yescharacteristic, complemented
163#19151456C2211yescharacteristic, complemented
164#19151456C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic, complemented
166#19151454C2211yescharacteristic
167#19151454C2211yescharacteristic
168#19151454C2211yescharacteristic
169C22⋊C4×Dic89C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×#121×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176C2×#120×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C23×Dic89—42no—
189C23×Dic89—42no—
190C23×Dic89—42no—
191C23×Dic89C2311yescharacteristic
192C23×Dic89C2311yescharacteristic
193C23×Dic89C2311yescharacteristic
194C23×Dic89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202#15668005—42no—
203#15667993—42no—
204#15667993—42no—
205#15667993—42no—
206#15667993—42no—
207#15667993—42no—
208#15667993—42no—
209#15667991—42no—
210#15667989—42no—
211#15667989—42no—
212#15667989—42no—
213D4×Dic89—42no—
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×C4⋊Dic89C2311yescharacteristic
219C2×C4⋊Dic89C2311yescharacteristic
220C2×#13083553C2311yescharacteristic
221C2×#13083553C2311yescharacteristic
222C2×#13083553C2311yescharacteristic
223C2×#13083553C2311yescharacteristic
224C2×#13083553C2311yescharacteristic
225C2×#13083553C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×C22⋊Dic89—24no—
243C2×C22⋊Dic89—42no—
244C2×C22⋊Dic89—42no—
245C2×C22⋊Dic89—42no—
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
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×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
277C2×C22⋊Dic89C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C4×Dic89C2311yescharacteristic
284C2×C4×Dic89C2311yescharacteristic
285C2×C4×Dic89C2311yescharacteristic
286#15667919C2311yescharacteristic
287#15667919C2311yescharacteristic
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
326C25×C89C2311yescharacteristic
327C25×C89C2311yescharacteristic
328C22×D4×C89—24no—
329C22×D4×C89—42no—
330C22×D4×C89—42no—
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C22×D4×C89C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C22×D4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343#121×C89—42no—
344#121×C89—42no—
345#120×C89—24no—
346#120×C89—42no—
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C2×Dic178—22no—
370C2×Dic178—41no—
371C2×Dic178—41no—
372C22×Dic89—22no—
373C22×Dic89—22no—
374C22×Dic89—22no—
375C22×Dic89—22no—
376C22×Dic89—22no—
377C22×Dic89—22no—
378C22×Dic89—22no—
379C22×Dic89—22no—
380C22×Dic89—22no—
381C22×Dic89—22no—
382C22×Dic89—22no—
383C22×Dic89—41no—
384C22×Dic89—41no—
385C22×Dic89—41no—
386C22×Dic89—41no—
387C22×Dic89—41no—
388C22×Dic89—41no—
389C22×Dic89—41no—
390C22×Dic89—41no—
391C22×Dic89—41no—
392C22×Dic89—41no—
393C22×Dic89—41no—
394C22×Dic89—41no—
395C22×Dic89—41no—
396C22×Dic89—41no—
397C22×Dic89—41no—
398C22×Dic89—41no—
399C22×Dic89—41no—
400C22×Dic89—41no—
401C22×Dic89—41no—
402C22×Dic89—41no—
403C22×Dic89—41no—
404C22×Dic89—41no—
405C22×Dic89—416no—
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C4⋊Dic89—41no—
423C4⋊Dic89—41no—
424C4⋊Dic89—41no—
425C4⋊Dic89—41no—
426C4⋊Dic89—41no—
427C4⋊Dic89—41no—
428#13083553—22no—
429#13083553—22no—
430#13083553—41no—
431#13083553—41no—
432#13083553—41no—
433#13083553—41no—
434#13083553—41no—
435#13083553—41no—
436#13083553—41no—
437#13083553—41no—
438#13083553—41no—
439#13083553—41no—
440#13083553—41no—
441#13083553—41no—
442#13083553—41no—
443#13083553—41no—
444#13083553—41no—
445#13083553—41no—
446#13083553—41no—
447#13083553—41no—
448#13083553—41no—
449#13083553—41no—
450C22⋊Dic89—22no—
451C22⋊Dic89—22no—
452C22⋊Dic89—22no—
453C22⋊Dic89—22no—
454C22⋊Dic89—22no—
455C22⋊Dic89—22no—
456C22⋊Dic89—22no—
457C22⋊Dic89—22no—
458C22⋊Dic89—22no—
459C22⋊Dic89—22no—
460C22⋊Dic89—22no—
461C22⋊Dic89—22no—
462C22⋊Dic89—22no—
463C22⋊Dic89—22no—
464C22⋊Dic89—22no—
465C22⋊Dic89—41no—
466C22⋊Dic89—41no—
467C22⋊Dic89—41no—
468C22⋊Dic89—41no—
469C22⋊Dic89—41no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
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—
487C4×Dic89—41no—
488C4×Dic89—41no—
489C4×Dic89—41no—
490C24×C89—22no—
491C24×C89—22no—
492C24×C89—22no—
493C24×C89—22no—
494C24×C89—22no—
495C24×C89—22no—
496C24×C89—22no—
497C24×C89—41no—
498C24×C89—41no—
499C24×C89—41no—
500C24×C89—41no—
501C24×C89—41no—
502C24×C89—41no—
503C24×C89#4114yes—
504C24×C89C2411yescharacteristic
505C24×C89C2411yescharacteristic
506C24×C89C2411yescharacteristic
507C24×C89C2411yescharacteristic
508C24×C89C2411yescharacteristic
509C24×C89C2411yescharacteristic
510C2×D4×C89—22no—
511C2×D4×C89—22no—
512C2×D4×C89—22no—
513C2×D4×C89—22no—
514C2×D4×C89—22no—
515C2×D4×C89—22no—
516C2×D4×C89—22no—
517C2×D4×C89—22no—
518C2×D4×C89—22no—
519C2×D4×C89—22no—
520C2×D4×C89—22no—
521C2×D4×C89—22no—
522C2×D4×C89—22no—
523C2×D4×C89—22no—
524C2×D4×C89—22no—
525C2×D4×C89—41no—
526C2×D4×C89—41no—
527C2×D4×C89—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C2×D4×C89—41no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C2×D4×C89—416no—
538C22×C4×C89—22no—
539C22×C4×C89—41no—
540C22×C4×C89—41no—
541C22×C4×C89—41no—
542C22×C4×C89—41no—
543C22×C4×C89—41no—
544C22×C4×C89—41no—
545C22×C4×C89—41no—
546C22×C4×C89—41no—
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C4⋊C4×C89—41no—
557C4⋊C4×C89—41no—
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—
571C22⋊C4×C89—41no—
572C22⋊C4×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—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—28no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—44no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89—44no—
617C23×C89—44no—
618C23×C89—82no—
619C23×C89—82no—
620C23×C89—82no—
621C23×C89—82no—
622C23×C89C2×#4112yes—
623C23×C89C2×#4112yes—
624C23×C89C2×#4112yes—
625C23×C89H(5,𝔽2)12yes—
626C23×C89H(5,𝔽2)12yes—
627C23×C89H(5,𝔽2)12yes—
628C23×C892−1+412yes—
629C23×C89C2511yescharacteristic
630D4×C89—44no—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—44no—
634D4×C89—44no—
635D4×C89—82no—
636D4×C89—82no—
637D4×C89—82no—
638D4×C89—82no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—44no—
667C2×C4×C89—82no—
668C2×C4×C89—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—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—44no—
717C2×Dic89—44no—
718C2×Dic89—44no—
719C2×Dic89—44no—
720C2×Dic89—44no—
721C2×Dic89—44no—
722C2×Dic89—82no—
723C2×Dic89—82no—
724C2×Dic89—82no—
725C2×Dic89—82no—
726C2×Dic89—82no—
727C2×Dic89H(5,𝔽2)12yes—
728Dic178—82no—
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—22no—
738C22×C89—22no—
739C22×C89—22no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—22no—
746C22×C89—22no—
747C22×C89—416no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
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—88no—
772C22×C89#53914yes—
773C22×C89C22×#4111yescharacteristic
774C22×C89C2×H(5,𝔽2)11yescharacteristic
775C22×C89C2×H(5,𝔽2)11yescharacteristic
776C22×C89C2×H(5,𝔽2)11yescharacteristic
777C22×C89C2×H(5,𝔽2)11yescharacteristic
778C22×C89C2×2−1+411yescharacteristic
779C22×C89#58511yescharacteristic
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789Dic89—22no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800Dic89—41no—
801Dic89—41no—
802Dic89—41no—
803Dic89—41no—
804Dic89—41no—
805#36775—891nomaximal, Sylow
806C2×C89—24no—
807C2×C89—42no—
808C2×C89—42no—
809C2×C89—42no—
810C2×C89—42no—
811C2×C89—81no—
812C2×C89C2×#53911yescharacteristic
813C2×C89#349011yescharacteristic
814C2×C89#350511yescharacteristic
815C2×C89#353211yescharacteristic
816C2×C89#353411yescharacteristic
817C2×C89#353511yescharacteristic
818C2×C89#353611yescharacteristic
819#2849—891no—
820#2848—891no—
821#2782—891no—
822#2750—891no—
823#2746—891no—
824#2746—891no—
825#2743—891no—
826#2728—891no—
827#2708—891no—
828#2708—891no—
829#2706—891no—
830#2696—891no—
831#2695—891no—
832#2693—891no—
833#2693—891no—
834#2691—891no—
835#2687—891no—
836#2681—891no—
837#2646—891no—
838#2643—891no—
839#2505—891no—
840#2480—891no—
841#2450—891no—
842#2437—891no—
843#2418—891no—
844#2412—891no—
845#2410D8911yescharacteristic
846#2405—891no—
847#2321—891no—
848#2315—891no—
849C2×#386—891no—
850C89#3677511yescharacteristic, complemented, Sylow
851C23×D4C2×D8911yescharacteristic
852C24×C4—891no—
853C2×#126—891no—
854C2×#123—891no—
855C2×#123—891no—
856C2×#123—891no—
857C2×#123—891no—
858C2×#123—891no—
859C2×#123—891no—
860C2×C22⋊Q8—891no—
861C2×C22⋊Q8—891no—
862C2×C22⋊Q8—891no—
863C2×C22⋊Q8—891no—
864C2×#121C2×D8911yescharacteristic
865C2×#121C2×D8911yescharacteristic
866C2×#120C2×D8911yescharacteristic
867C2×#120C2×D8911yescharacteristic
868C2×C4×D4—891no—
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4—891no—
872C22×C22⋊C4—891no—
873C22×C22⋊C4C2×D8911yescharacteristic
874#401—891no—
875#400—891no—
876#400—891no—
877#400—891no—
878#400—891no—
879#400—891no—
880#400—891no—
881#400—891no—
882#400—891no—
883#400—891no—
884#400—891no—
885#400—891no—
886#399—891no—
887#399—891no—
888#398—891no—
889#398—891no—
890#398—891no—
891#398—891no—
892#398—891no—
893#398—891no—
894#397—891no—
895#397—891no—
896#397—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397—891no—
903#396—891no—
904#396—891no—
905#396—891no—
906#396—891no—
907#396—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394—891no—
914#394—891no—
915#394—891no—
916#394C2×D8911yescharacteristic
917#394C2×D8911yescharacteristic
918#393—891no—
919#393—891no—
920#392C2×D8911yescharacteristic
921#392C2×D8911yescharacteristic
922#391—891no—
923#390—891no—
924#390—891no—
925#389—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#387—891no—
936#387—891no—
937#387—891no—
938#386—891no—
939#386—891no—
940#386—891no—
941#386—891no—
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386C2×D8911yescharacteristic
958#386C2×D8911yescharacteristic
959#386C2×D8911yescharacteristic
960#385—891no—
961#385—891no—
962#385—891no—
963#385—891no—
964#385—891no—
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385C2×D8911yescharacteristic
984#382—891no—
985#381—891no—
986#381—891no—
987#381—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380—891no—
997#380—891no—
998#380—891no—
999#379—891no—
1000#379—891no—
1001#379—891no—
1002#379C2×D8911yescharacteristic
1003C4×C22⋊C4—891no—
1004C2×#95—891no—
1005C2×#95—891no—
1006C25C22×D8911yescharacteristic
1007C25C22×D8911yescharacteristic
1008C22×Q8—891no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4C22×D8911yescharacteristic
1013C22×D4C22×D8911yescharacteristic
1014C22×D4C22×D8911yescharacteristic
1015C22×D4C22×D8911yescharacteristic
1016C22×D4C22×D8911yescharacteristic
1017C22×D4C22×D8911yescharacteristic
1018C22×D4C22×D8911yescharacteristic
1019C22×D4C22×D8911yescharacteristic
1020C22×D4C22×D8911yescharacteristic
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—891no—
1031C23×C4—891no—
1032C23×C4—3562no—
1033C23×C4—3562no—
1034C23×C4—3562no—
1035C23×C4C22×D8911yescharacteristic
1036C23×C4C22×D8911yescharacteristic
1037C23×C4C22×D8911yescharacteristic
1038#126—3562no—
1039#123—3562no—
1040#123—3562no—
1041#123—3562no—
1042#123—3562no—
1043#123—3562no—
1044#123—3562no—
1045C22⋊Q8—3562no—
1046C22⋊Q8—3562no—
1047C22⋊Q8—3562no—
1048C22⋊Q8—3562no—
1049#121—42no—
1050#121—42no—
1051#120—24no—
1052#120—42no—
1053C4×D4—3562no—
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—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4C22×D8911yescharacteristic
1083C2×C4⋊C4C22×D8911yescharacteristic
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—3562no—
1123C2×C22⋊C4—3562no—
1124C2×C22⋊C4—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×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C22⋊C4C22×D8911yescharacteristic
1140C2×C22⋊C4C22×D8911yescharacteristic
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—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#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24#1308357314yes—
1202C24C23×D8911yescharacteristic
1203C24C23×D8911yescharacteristic
1204C24C23×D8911yescharacteristic
1205C24C23×D8911yescharacteristic
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—3561no—
1209C2×Q8—3561no—
1210C2×Q8—1782no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
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—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—35616no—
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—3561no—
1282C22×C4—3561no—
1283C22×C4—3561no—
1284C22×C4—3561no—
1285C22×C4—3561no—
1286C22×C4—3561no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
1295C22×C4—1782no—
1296C22×C4—1782no—
1297C22×C4—1782no—
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—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—3561no—
1329C4⋊C4—3561no—
1330C4⋊C4—3561no—
1331C4⋊C4—3561no—
1332C4⋊C4—3561no—
1333C4⋊C4—3561no—
1334C4⋊C4—3561no—
1335C4⋊C4—1782no—
1336C4⋊C4—1782no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
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—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C22⋊C4—1782no—
1383C22⋊C4—1782no—
1384C22⋊C4—1782no—
1385C22⋊C4—1782no—
1386C22⋊C4—1782no—
1387C22⋊C4—1782no—
1388C22⋊C4—1782no—
1389C42—3561no—
1390C42—3561no—
1391C42—3561no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
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—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—28no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23C2×#1308357312yes—
1442C23C2×#1308357312yes—
1443C23C2×#1308357312yes—
1444C23#1566805712yes—
1445C23#1566805712yes—
1446C23#1566805712yes—
1447C23#1566805912yes—
1448C23C24×D8911yescharacteristic
1449Q8—7122no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
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—44no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—892no—
1490C2×C4—3564no—
1491C2×C4—3564no—
1492C2×C4—3564no—
1493C2×C4—3564no—
1494C2×C4—3564no—
1495C2×C4—3564no—
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—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—7122no—
1544C2×C4—7122no—
1545C2×C4—7122no—
1546C2×C4—7122no—
1547C2×C4—7122no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—88no—
1591C22#1915219314yes—
1592C22C22×#1308357311yescharacteristic
1593C22H(5,𝔽2)×D8911yescharacteristic
1594C22C2×#1566805711yescharacteristic
1595C22C2×#1566805711yescharacteristic
1596C22C2×#1566805711yescharacteristic
1597C22C2×#1566805911yescharacteristic
1598C22#1915243311yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—3561no—
1614C4—3561no—
1615C4—3561no—
1616C4—3561no—
1617C4—3561no—
1618C4—3561no—
1619C4—3561no—
1620C4—3561no—
1621C4—3561no—
1622C4—3561no—
1623C4—1782no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—42no—
1628C2—42no—
1629C2—81no—
1630C2C2×#1915219311yescharacteristic
1631C2#2603393911yescharacteristic
1632C2#2603408911yescharacteristic
1633C2#2603440211yescharacteristic
1634C2#2603443011yescharacteristic
1635C2#2603444911yescharacteristic
1636C2#2603446711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
Fitting, prime radicalC89×#2410C2
hypercenter#2410D89
hypocenterC89#36775
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. #26028542C2semidirect
2. #26028537C2semidirect
3. #26027925C2semidirect
4. #26027484C2semidirect
5. #26027438C2semidirect
6. #26027434C2semidirect
7. #26027393C2semidirect
8. #26027223C2semidirect
9. #26026964C2semidirect
10. #26026964C2semidirect
11. #26026947C2semidirect
12. #26026801C2semidirect
13. #26026786C2semidirect
14. #26026760C2semidirect
15. #26026760C2semidirect
16. #26026729C2semidirect
17. #26026679C2semidirect
18. #26026598C2semidirect
19. #26026224C2semidirect
20. #26026207C2semidirect
21. #26024751C2semidirect
22. #26024495C2semidirect
23. #26024082C2semidirect
24. #26023913C2semidirect
25. #26023710C2semidirect
26. #26023649C2semidirect
27. #26023575C2semidirect
28. #26022913C2semidirect
29. #26022864C2semidirect
30. C2×#19151478C2semidirect
33. C2×#15668005C22semidirect
36. C2×#15667993C22semidirect
37. C2×#15667993C22semidirect
38. C2×#15667993C22semidirect
39. C2×#15667993C22semidirect
40. C2×#15667991C22semidirect
42. C2×#15667989C22semidirect
43. C2×#15667989C22semidirect
49. C89⋊#401C22semidirect
50. #19151540C22semidirect
51. #19151540C22semidirect
52. #19151539C22semidirect
53. #19151539C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151539C22semidirect
57. #19151538C22semidirect
58. #19151538C22semidirect
59. #19151536C22semidirect
60. #19151536C22semidirect
61. #19151534C22semidirect
62. #19151534C22semidirect
63. #19151532C22semidirect
64. #19151532C22semidirect
65. #19151531C22semidirect
66. #19151529C22semidirect
67. #19151529C22semidirect
68. #19151528C22semidirect
69. #19151526C22semidirect
70. #19151526C22semidirect
71. #19151526C22semidirect
72. #19151526C22semidirect
73. #19151526C22semidirect
74. #19151526C22semidirect
75. #19151523C22semidirect
76. #19151523C22semidirect
77. #19151523C22semidirect
78. #19151521C22semidirect
79. #19151521C22semidirect
80. #19151521C22semidirect
81. #19151521C22semidirect
82. #19151521C22semidirect
87. #19151512C22semidirect
88. #19151512C22semidirect
89. #19151512C22semidirect
90. #19151512C22semidirect
91. #19151510C22semidirect
92. #19151510C22semidirect
93. #19151502C22semidirect
94. #19151501C22semidirect
95. #19151501C22semidirect
96. #19151493C22semidirect
97. #19151492C22semidirect
98. #19151491C22semidirect
99. #19151491C22semidirect
100. #19151491C22semidirect
101. #19151491C22semidirect
102. #19151491C22semidirect
103. #19151486C22semidirect
104. #19151486C22semidirect
105. #19151486C22semidirect
106. #19151485C22semidirect
107. #19151480C22semidirect
108. #19151479C22semidirect
122. #19151478C22semidirect
123. #19151478C22semidirect
124. #19151478C22semidirect
125. #19151478C22semidirect
126. #19151478C22semidirect
127. #19151478C22semidirect
130. #19151473C22semidirect
131. #19151473C22semidirect
134. #19151471C22semidirect
135. #19151471C22semidirect
136. #19151471C22semidirect
137. #19151471C22semidirect
138. #19151471C22semidirect
139. #19151471C22semidirect
145. #19151470C22semidirect
146. #19151470C22semidirect
147. #19151470C22semidirect
148. #19151470C22semidirect
149. #19151470C22semidirect
150. #19151470C22semidirect
151. #19151462C22semidirect
152. #19151459C22semidirect
153. #19151459C22semidirect
154. #19151459C22semidirect
155. #19151458C22semidirect
159. #19151456C22semidirect
160. #19151456C22semidirect
161. #19151456C22semidirect
162. #19151456C22semidirect
163. #19151456C22semidirect
164. #19151456C22semidirect
165. #19151456C22semidirect
850. C89#36775semidirect

Maximal subgroups

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

subgroupindex
#260285422
#260285372
#260279252
#260274842
#260274382
#260274342
#260273932
#260272232
#260269642
#260269472
#260268012
#260267862
#260267602
#260267292
#260266792
#260265982
#260262242
#260262072
#260247512
#260244952
#260240822
#260239132
#260237102
#260236492
#260235752
#260229132
#260228642
C2×#191514782
C89×#24102
#3677589