Finite Group Databasebeta

← #36763284

Subgroups — #36763284

Order 22784.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 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#26028096C211yesmaximal, characteristic, complemented
4#26027633C211yesmaximal, characteristic, complemented
5#26027589C211yesmaximal, characteristic, complemented
6#26027507C211yesmaximal, characteristic, complemented
7#26027305C211yesmaximal, characteristic, complemented
8#26027251C211yesmaximal, characteristic, complemented
9#26027168C211yesmaximal, characteristic, complemented
10#26027056C211yesmaximal, characteristic, complemented
11#26027017C211yesmaximal, characteristic, complemented
12#26026996C211yesmaximal, characteristic, complemented
13#26026932C211yesmaximal, characteristic, complemented
14#26026861C211yesmaximal, characteristic, complemented
15#26026856C211yesmaximal, characteristic, complemented
16#26026729C211yesmaximal, characteristic, complemented
17#26026654C211yesmaximal, characteristic, complemented
18#26026497C211yesmaximal, characteristic, complemented
19#26026061C211yesmaximal, characteristic, complemented
20#26026027C211yesmaximal, characteristic, complemented
21#26025428C211yesmaximal, characteristic, complemented
22#26025264C211yesmaximal, characteristic, complemented
23#26024497C211yesmaximal, characteristic, complemented
24#26024497C211yesmaximal, characteristic, complemented
25#26024377C211yesmaximal, characteristic, complemented
26#26024377C211yesmaximal, characteristic, complemented
27#26023899C211yesmaximal, characteristic, complemented
28#26022982C211yesmaximal, characteristic, complemented
29#26022885C211yesmaximal, characteristic, complemented
30C2×#19151478C211yesmaximal, characteristic, complemented
31C89×#2408C211yesmaximal, characteristic
32C24×Dic89C2211yescharacteristic
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15667999C2211yescharacteristic
36C2×#15667999C2211yescharacteristic
37C2×#15667999C2211yescharacteristic, complemented
38C2×#15667999C2211yescharacteristic, complemented
39C2×#15667993C2211yescharacteristic, complemented
40C2×#15667993C2211yescharacteristic, complemented
41C2×#15667991C2211yescharacteristic
42C2×#15667989C2211yescharacteristic
43C2×#15667989C2211yescharacteristic
44C2×#15667989C2211yescharacteristic, complemented
45C2×#15667989C2211yescharacteristic, complemented
46C22×C22⋊Dic89C2211yescharacteristic
47C22×C22⋊Dic89C2211yescharacteristic
48C22×C22⋊Dic89C2211yescharacteristic
49#19151537C2211yescharacteristic, complemented
50#19151534C2211yescharacteristic, complemented
51#19151534C2211yescharacteristic, complemented
52#19151534C2211yescharacteristic, complemented
53#19151531C2211yescharacteristic, complemented
54#19151531C2211yescharacteristic, complemented
55#19151526C2211yescharacteristic, complemented
56#19151526C2211yescharacteristic, complemented
57#19151526C2211yescharacteristic, complemented
58#19151526C2211yescharacteristic, complemented
59#19151526C2211yescharacteristic, complemented
60#19151526C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151523C2211yescharacteristic, complemented
64#19151523C2211yescharacteristic, complemented
65#19151523C2211yescharacteristic, complemented
66#19151523C2211yescharacteristic, complemented
67#19151521C2211yescharacteristic, complemented
68#19151521C2211yescharacteristic, complemented
69#19151521C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151518C2211yescharacteristic, complemented
74#19151518C2211yescharacteristic, complemented
75#19151518C2211yescharacteristic, complemented
76#19151512C2211yescharacteristic
77#19151512C2211yescharacteristic
78#19151512C2211yescharacteristic
79#19151512C2211yescharacteristic
80#19151512C2211yescharacteristic, complemented
81#19151512C2211yescharacteristic, complemented
82#19151512C2211yescharacteristic, complemented
83#19151512C2211yescharacteristic, complemented
84#19151512C2211yescharacteristic, complemented
85#19151512C2211yescharacteristic, complemented
86#19151512C2211yescharacteristic, complemented
87#19151512C2211yescharacteristic, complemented
88#19151510C2211yescharacteristic, complemented
89#19151510C2211yescharacteristic, complemented
90#19151510C2211yescharacteristic, complemented
91#19151510C2211yescharacteristic, complemented
92#19151510C2211yescharacteristic, complemented
93#19151502C2211yescharacteristic, complemented
94#19151502C2211yescharacteristic, complemented
95#19151502C2211yescharacteristic, complemented
96#19151502C2211yescharacteristic, complemented
97#19151501C2211yescharacteristic
98#19151501C2211yescharacteristic
99#19151501C2211yescharacteristic, complemented
100#19151501C2211yescharacteristic, complemented
101#19151495C2211yescharacteristic, complemented
102#19151495C2211yescharacteristic, complemented
103#19151493C2211yescharacteristic, complemented
104#19151493C2211yescharacteristic, complemented
105#19151492C2211yescharacteristic, complemented
106#19151492C2211yescharacteristic, complemented
107#19151492C2211yescharacteristic, complemented
108#19151492C2211yescharacteristic, complemented
109#19151492C2211yescharacteristic, complemented
110#19151492C2211yescharacteristic, complemented
111#19151491C2211yescharacteristic, complemented
112#19151491C2211yescharacteristic, complemented
113#19151491C2211yescharacteristic, complemented
114#19151491C2211yescharacteristic, complemented
115#19151486C2211yescharacteristic, complemented
116#19151486C2211yescharacteristic, complemented
117#19151484C2211yescharacteristic, complemented
118#19151484C2211yescharacteristic, complemented
119#19151483C2211yescharacteristic, complemented
120#19151483C2211yescharacteristic, complemented
121#19151482C2211yescharacteristic, complemented
122#19151482C2211yescharacteristic, complemented
123#19151479C2211yescharacteristic, complemented
124#19151479C2211yescharacteristic, complemented
125#19151478C2211yescharacteristic
126#19151478C2211yescharacteristic
127#19151478C2211yescharacteristic
128#19151478C2211yescharacteristic
129#19151478C2211yescharacteristic
130#19151478C2211yescharacteristic
131#19151478C2211yescharacteristic
132#19151478C2211yescharacteristic
133#19151478C2211yescharacteristic
134#19151478C2211yescharacteristic
135#19151478C2211yescharacteristic
136#19151478C2211yescharacteristic
137#19151478C2211yescharacteristic, complemented
138#19151478C2211yescharacteristic, complemented
139#19151473C2211yescharacteristic
140#19151473C2211yescharacteristic
141#19151473C2211yescharacteristic, complemented
142#19151473C2211yescharacteristic, complemented
143#19151471C2211yescharacteristic, complemented
144#19151471C2211yescharacteristic, complemented
145#19151470C2211yescharacteristic
146#19151470C2211yescharacteristic
147#19151470C2211yescharacteristic
148#19151470C2211yescharacteristic
149#19151470C2211yescharacteristic, complemented
150#19151470C2211yescharacteristic, complemented
151#19151470C2211yescharacteristic, complemented
152#19151470C2211yescharacteristic, complemented
153#19151466C2211yescharacteristic, complemented
154#19151464C2211yescharacteristic, complemented
155#19151461C2211yescharacteristic, complemented
156#19151459C2211yescharacteristic, complemented
157#19151459C2211yescharacteristic, complemented
158#19151458C2211yescharacteristic, complemented
159#19151456C2211yescharacteristic
160#19151456C2211yescharacteristic
161#19151456C2211yescharacteristic, complemented
162#19151456C2211yescharacteristic, complemented
163#19151454C2211yescharacteristic
164#19151454C2211yescharacteristic
165#19151454C2211yescharacteristic
166#19151454C2211yescharacteristic
167C22⋊C4×Dic89C2211yescharacteristic
168C22⋊C4×Dic89C2211yescharacteristic
169C4×C22⋊Dic89C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C2×#121×C89C2211yescharacteristic
174C2×#121×C89C2211yescharacteristic
175C2×#120×C89C2211yescharacteristic
176C2×#120×C89C2211yescharacteristic
177C2×C4×D4×C89C2211yescharacteristic
178#394×C89C2211yescharacteristic
179#394×C89C2211yescharacteristic
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic
182#390×C89C2211yescharacteristic
183#390×C89C2211yescharacteristic
184#380×C89C2211yescharacteristic
185#379×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C22×Dic178C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C23×Dic89—42no—
191C23×Dic89—42no—
192C23×Dic89—42no—
193C23×Dic89C2311yescharacteristic
194C23×Dic89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201#15668005—42no—
202#15668005—42no—
203#15667999—42no—
204#15667999—42no—
205#15667999—42no—
206#15667999—42no—
207#15667993—42no—
208#15667993—42no—
209#15667991—24no—
210#15667989—42no—
211#15667989—42no—
212#15667989—42no—
213#15667989—42no—
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×C4⋊Dic89C2311yescharacteristic
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
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×C22⋊Dic89—42no—
240C2×C22⋊Dic89—42no—
241C2×C22⋊Dic89—42no—
242C2×C22⋊Dic89C2311yescharacteristic
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
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×C4×Dic89C2311yescharacteristic
283C2×C4×Dic89C2311yescharacteristic
284C2×C4×Dic89C2311yescharacteristic
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
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
342#121×C89—42no—
343#121×C89—42no—
344#120×C89—42no—
345#120×C89—42no—
346C4×D4×C89—24no—
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C2×Dic178—22no—
370C2×Dic178—22no—
371C2×Dic178—41no—
372C2×Dic178—41no—
373C2×Dic178—41no—
374C2×Dic178—41no—
375C2×Dic178—41no—
376C2×Dic178—41no—
377C2×Dic178—41no—
378C22×Dic89—22no—
379C22×Dic89—22no—
380C22×Dic89—22no—
381C22×Dic89—22no—
382C22×Dic89—22no—
383C22×Dic89—22no—
384C22×Dic89—22no—
385C22×Dic89—22no—
386C22×Dic89—22no—
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—416no—
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
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
419C4⋊Dic89—22no—
420C4⋊Dic89—41no—
421C4⋊Dic89—41no—
422C4⋊Dic89—41no—
423C4⋊Dic89—41no—
424C4⋊Dic89—41no—
425C4⋊Dic89—41no—
426#13083553—22no—
427#13083553—22no—
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—
444C22⋊Dic89—22no—
445C22⋊Dic89—22no—
446C22⋊Dic89—22no—
447C22⋊Dic89—22no—
448C22⋊Dic89—22no—
449C22⋊Dic89—22no—
450C22⋊Dic89—22no—
451C22⋊Dic89—22no—
452C22⋊Dic89—22no—
453C22⋊Dic89—22no—
454C22⋊Dic89—22no—
455C22⋊Dic89—22no—
456C22⋊Dic89—22no—
457C22⋊Dic89—41no—
458C22⋊Dic89—41no—
459C22⋊Dic89—41no—
460C22⋊Dic89—41no—
461C22⋊Dic89—41no—
462C22⋊Dic89—41no—
463C22⋊Dic89—41no—
464C22⋊Dic89—41no—
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—
484C4×Dic89—41no—
485C4×Dic89—41no—
486C4×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—22no—
498C24×C89—41no—
499C24×C89—41no—
500C24×C89—41no—
501C24×C89—41no—
502C24×C89—41no—
503C24×C89—41no—
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—41no—
524C2×D4×C89—41no—
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#4114yes—
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C4⋊C4×C89—22no—
554C4⋊C4×C89—41no—
555C4⋊C4×C89—41no—
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—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
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—
572C42×C89—22no—
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—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—44no—
612C23×C89—44no—
613C23×C89—44no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89—44no—
617C23×C89—44no—
618C23×C89—44no—
619C23×C89—44no—
620C23×C89—82no—
621C23×C89—82no—
622C23×C89—82no—
623C23×C89—82no—
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—44no—
665C2×C4×C89—82no—
666C2×C4×C89C2×#4112yes—
667C2×C4×C89C2×#4112yes—
668C2×Dic89—21no—
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—44no—
716C2×Dic89—44no—
717C2×Dic89—44no—
718C2×Dic89—44no—
719C2×Dic89—44no—
720C2×Dic89—44no—
721C2×Dic89—82no—
722C2×Dic89—82no—
723C2×Dic89H(5,𝔽2)12yes—
724Dic178—82no—
725Dic178—82no—
726Dic178—82no—
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—22no—
738C22×C89—22no—
739C22×C89—416no—
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—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—88no—
770C22×C89#54214yes—
771C22×C89C22×#4111yescharacteristic
772C22×C89C2×H(5,𝔽2)11yescharacteristic
773C22×C89C2×H(5,𝔽2)11yescharacteristic
774C22×C89C2×H(5,𝔽2)11yescharacteristic
775C22×C89C2×H(5,𝔽2)11yescharacteristic
776C22×C89C2×2−1+411yescharacteristic
777C22×C89#58511yescharacteristic
778C4×C89—22no—
779C4×C89—22no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787Dic89—22no—
788Dic89—41no—
789Dic89—41no—
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—
803#36793—891nomaximal, Sylow
804C2×C89—24no—
805C2×C89—42no—
806C2×C89—42no—
807C2×C89—81no—
808C2×C89—81no—
809C2×C89—81no—
810C2×C89C2×#54211yescharacteristic
811C2×C89#349011yescharacteristic
812C2×C89#350611yescharacteristic
813C2×C89#353211yescharacteristic
814C2×C89#353411yescharacteristic
815C2×C89#353511yescharacteristic
816C2×C89#353611yescharacteristic
817#2849—891no—
818#2848—891no—
819#2796—891no—
820#2761—891no—
821#2757—891no—
822#2751—891no—
823#2737—891no—
824#2730—891no—
825#2723—891no—
826#2715—891no—
827#2712—891no—
828#2710—891no—
829#2705—891no—
830#2701—891no—
831#2700—891no—
832#2691—891no—
833#2686—891no—
834#2672—891no—
835#2626—891no—
836#2622—891no—
837#2564—891no—
838#2549—891no—
839#2480—891no—
840#2480—891no—
841#2472—891no—
842#2472—891no—
843#2435—891no—
844#2408D8911yescharacteristic
845#2329—891no—
846#2318—891no—
847C2×#386—891no—
848C89#3679311yescharacteristic, complemented, Sylow
849C23×D4C2×D8911yescharacteristic
850C24×C4—891no—
851C2×#126—891no—
852C2×#126—891no—
853C2×#124—891no—
854C2×#124—891no—
855C2×#124—891no—
856C2×#124—891no—
857C2×#123—891no—
858C2×#123—891no—
859C2×C22⋊Q8—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×D4C2×D8911yescharacteristic
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4—891no—
872#400—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#398—891no—
877#398—891no—
878#397—891no—
879#397—891no—
880#397—891no—
881#397—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#396—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#395—891no—
897#395—891no—
898#395—891no—
899#394—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394C2×D8911yescharacteristic
912#394C2×D8911yescharacteristic
913#393—891no—
914#393—891no—
915#393—891no—
916#393—891no—
917#393—891no—
918#392C2×D8911yescharacteristic
919#392C2×D8911yescharacteristic
920#391—891no—
921#391—891no—
922#391—891no—
923#391—891no—
924#390—891no—
925#390—891no—
926#390—891no—
927#390—891no—
928#390C2×D8911yescharacteristic
929#390C2×D8911yescharacteristic
930#389—891no—
931#389—891no—
932#389—891no—
933#389—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388—891no—
943#388—891no—
944#388—891no—
945#388—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#387—891no—
953#387—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#386—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#383—891no—
983#382—891no—
984#381—891no—
985#381—891no—
986#381—891no—
987#380—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380C2×D8911yescharacteristic
993#379—891no—
994#379—891no—
995#379—891no—
996#379—891no—
997#379C2×D8911yescharacteristic
998#379C2×D8911yescharacteristic
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C2×#95—891no—
1003C2×#95—891no—
1004C25C22×D8911yescharacteristic
1005C25C22×D8911yescharacteristic
1006C22×Q8—891no—
1007C22×Q8—891no—
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—3562no—
1030C23×C4—3562no—
1031C23×C4—3562no—
1032C23×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034#126—3562no—
1035#126—3562no—
1036#124—3562no—
1037#124—3562no—
1038#124—3562no—
1039#124—3562no—
1040#123—3562no—
1041#123—3562no—
1042C22⋊Q8—3562no—
1043C22⋊Q8—3562no—
1044C22⋊Q8—3562no—
1045C22⋊Q8—3562no—
1046C22⋊Q8—1784no—
1047#121—42no—
1048#121—42no—
1049#120—42no—
1050#120—42no—
1051C4×D4—24no—
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—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—3562no—
1121C2×C22⋊C4—3562no—
1122C2×C22⋊C4—3562no—
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×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42C22×D8911yescharacteristic
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
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24C23×D8911yescharacteristic
1201C24C23×D8911yescharacteristic
1202C24C23×D8911yescharacteristic
1203C24C23×D8911yescharacteristic
1204C24C23×D8911yescharacteristic
1205C24C23×D8911yescharacteristic
1206C2×Q8—3561no—
1207C2×Q8—3561no—
1208C2×Q8—3561no—
1209C2×Q8—3561no—
1210C2×Q8—3561no—
1211C2×Q8—3561no—
1212C2×Q8—3561no—
1213C2×Q8—1782no—
1214C2×Q8—1782no—
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—22no—
1227C2×D4—22no—
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—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—416no—
1243C22×C4—22no—
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—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4#1308357314yes—
1290C22×C4C23×D8911yescharacteristic
1291C22×C4C23×D8911yescharacteristic
1292C22×C4C23×D8911yescharacteristic
1293C22×C4C23×D8911yescharacteristic
1294C22×C4C23×D8911yescharacteristic
1295C22×C4C23×D8911yescharacteristic
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—3561no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
1305C4⋊C4—3561no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—1782no—
1323C4⋊C4—1782no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—3561no—
1366C22⋊C4—3561no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C22⋊C4—1782no—
1383C42—22no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—3561no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
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—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—44no—
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—
1442C23#1566805712yes—
1443C23#1566805712yes—
1444C23#1566805712yes—
1445C23#1566805912yes—
1446C23C24×D8911yescharacteristic
1447Q8—7122no—
1448Q8—7122no—
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—44no—
1485C2×C4—82no—
1486C2×C4—892no—
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—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—7122no—
1541C2×C4—7122no—
1542C2×C4C2×#1308357312yes—
1543C2×C4C2×#1308357312yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
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—88no—
1587C22#1915221514yes—
1588C22C22×#1308357311yescharacteristic
1589C22H(5,𝔽2)×D8911yescharacteristic
1590C22C2×#1566805711yescharacteristic
1591C22C2×#1566805711yescharacteristic
1592C22C2×#1566805711yescharacteristic
1593C22C2×#1566805911yescharacteristic
1594C22#1915243311yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—3561no—
1614C4—3561no—
1615C4—3561no—
1616C4—3561no—
1617C4—3561no—
1618C4—3561no—
1619C4—1782no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2C2×#1915221511yescharacteristic
1627C2#2603393911yescharacteristic
1628C2#2603410311yescharacteristic
1629C2#2603440211yescharacteristic
1630C2#2603443011yescharacteristic
1631C2#2603444911yescharacteristic
1632C2#2603446711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
Fitting, prime radicalC89×#2408C2
hypercenter#2408D89
hypocenterC89#36793
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2408

Complements

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

NH ≅ G/Ntype
1. #26028542C2semidirect
2. #26028537C2semidirect
3. #26028096C2semidirect
4. #26027633C2semidirect
5. #26027589C2semidirect
6. #26027507C2semidirect
7. #26027305C2semidirect
8. #26027251C2semidirect
9. #26027168C2semidirect
10. #26027056C2semidirect
11. #26027017C2semidirect
12. #26026996C2semidirect
13. #26026932C2semidirect
14. #26026861C2semidirect
15. #26026856C2semidirect
16. #26026729C2semidirect
17. #26026654C2semidirect
18. #26026497C2semidirect
19. #26026061C2semidirect
20. #26026027C2semidirect
21. #26025428C2semidirect
22. #26025264C2semidirect
23. #26024497C2semidirect
24. #26024497C2semidirect
25. #26024377C2semidirect
26. #26024377C2semidirect
27. #26023899C2semidirect
28. #26022982C2semidirect
29. #26022885C2semidirect
30. C2×#19151478C2semidirect
33. C2×#15668005C22semidirect
34. C2×#15668005C22semidirect
37. C2×#15667999C22semidirect
38. C2×#15667999C22semidirect
39. C2×#15667993C22semidirect
40. C2×#15667993C22semidirect
44. C2×#15667989C22semidirect
45. C2×#15667989C22semidirect
49. #19151537C22semidirect
50. #19151534C22semidirect
51. #19151534C22semidirect
52. #19151534C22semidirect
53. #19151531C22semidirect
54. #19151531C22semidirect
55. #19151526C22semidirect
56. #19151526C22semidirect
57. #19151526C22semidirect
58. #19151526C22semidirect
59. #19151526C22semidirect
60. #19151526C22semidirect
61. #19151526C22semidirect
62. #19151526C22semidirect
63. #19151523C22semidirect
64. #19151523C22semidirect
65. #19151523C22semidirect
66. #19151523C22semidirect
67. #19151521C22semidirect
68. #19151521C22semidirect
69. #19151521C22semidirect
70. #19151521C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151518C22semidirect
74. #19151518C22semidirect
75. #19151518C22semidirect
80. #19151512C22semidirect
81. #19151512C22semidirect
82. #19151512C22semidirect
83. #19151512C22semidirect
84. #19151512C22semidirect
85. #19151512C22semidirect
86. #19151512C22semidirect
87. #19151512C22semidirect
88. #19151510C22semidirect
89. #19151510C22semidirect
90. #19151510C22semidirect
91. #19151510C22semidirect
92. #19151510C22semidirect
93. #19151502C22semidirect
94. #19151502C22semidirect
95. #19151502C22semidirect
96. #19151502C22semidirect
99. #19151501C22semidirect
100. #19151501C22semidirect
101. #19151495C22semidirect
102. #19151495C22semidirect
103. #19151493C22semidirect
104. #19151493C22semidirect
105. #19151492C22semidirect
106. #19151492C22semidirect
107. #19151492C22semidirect
108. #19151492C22semidirect
109. #19151492C22semidirect
110. #19151492C22semidirect
111. #19151491C22semidirect
112. #19151491C22semidirect
113. #19151491C22semidirect
114. #19151491C22semidirect
115. #19151486C22semidirect
116. #19151486C22semidirect
117. #19151484C22semidirect
118. #19151484C22semidirect
119. #19151483C22semidirect
120. #19151483C22semidirect
121. #19151482C22semidirect
122. #19151482C22semidirect
123. #19151479C22semidirect
124. #19151479C22semidirect
137. #19151478C22semidirect
138. #19151478C22semidirect
141. #19151473C22semidirect
142. #19151473C22semidirect
143. #19151471C22semidirect
144. #19151471C22semidirect
149. #19151470C22semidirect
150. #19151470C22semidirect
151. #19151470C22semidirect
152. #19151470C22semidirect
153. #19151466C22semidirect
154. #19151464C22semidirect
155. #19151461C22semidirect
156. #19151459C22semidirect
157. #19151459C22semidirect
158. #19151458C22semidirect
161. #19151456C22semidirect
162. #19151456C22semidirect
848. C89#36793semidirect

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×#191514782
C89×#24082
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