Finite Group Databasebeta

← #36762740

Subgroups — #36762740

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#26028544C211yesmaximal, characteristic, complemented
2#26027927C211yesmaximal, characteristic, complemented
3#26027494C211yesmaximal, characteristic, complemented
4#26027433C211yesmaximal, characteristic, complemented
5#26027432C211yesmaximal, characteristic, complemented
6#26027386C211yesmaximal, characteristic, complemented
7#26027219C211yesmaximal, characteristic, complemented
8#26026974C211yesmaximal, characteristic, complemented
9#26026967C211yesmaximal, characteristic, complemented
10#26026941C211yesmaximal, characteristic, complemented
11#26026796C211yesmaximal, characteristic, complemented
12#26026784C211yesmaximal, characteristic, complemented
13#26026761C211yesmaximal, characteristic, complemented
14#26026759C211yesmaximal, characteristic, complemented
15#26026731C211yesmaximal, characteristic, complemented
16#26026669C211yesmaximal, characteristic, complemented
17#26026600C211yesmaximal, characteristic, complemented
18#26026224C211yesmaximal, characteristic, complemented
19#26026208C211yesmaximal, characteristic, complemented
20#26024749C211yesmaximal, characteristic, complemented
21#26024495C211yesmaximal, characteristic, complemented
22#26024072C211yesmaximal, characteristic, complemented
23#26023915C211yesmaximal, characteristic, complemented
24#26023718C211yesmaximal, characteristic, complemented
25#26023645C211yesmaximal, characteristic, complemented
26#26023628C211yesmaximal, characteristic
27#26023577C211yesmaximal, characteristic, complemented
28#26022909C211yesmaximal, characteristic, complemented
29#26022863C211yesmaximal, characteristic, complemented
30C2×#19151477C211yesmaximal, characteristic, complemented
31C89×#2848C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15667997C2211yescharacteristic, complemented
35C2×#15667995C2211yescharacteristic, complemented
36C2×#15667995C2211yescharacteristic, complemented
37C2×#15667994C2211yescharacteristic
38C2×#15667994C2211yescharacteristic
39C2×#15667994C2211yescharacteristic, complemented
40C2×#15667988C2211yescharacteristic, complemented
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667982C2211yescharacteristic
44C2×#15667981C2211yescharacteristic
45C2×#15667972C2211yescharacteristic
46C22×C22⋊Dic89C2211yescharacteristic
47C22×#13083551C2211yescharacteristic
48C22×#13083551C2211yescharacteristic
49C2×C22⋊C4×D89C2211yescharacteristic
50C2×C22⋊C4×D89C2211yescharacteristic
51C89⋊#401C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151539C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151538C2211yescharacteristic, complemented
57#19151538C2211yescharacteristic, complemented
58#19151537C2211yescharacteristic, complemented
59#19151536C2211yescharacteristic, complemented
60#19151536C2211yescharacteristic, complemented
61#19151536C2211yescharacteristic, complemented
62#19151536C2211yescharacteristic, complemented
63#19151534C2211yescharacteristic, complemented
64#19151533C2211yescharacteristic, complemented
65#19151532C2211yescharacteristic, complemented
66#19151531C2211yescharacteristic, complemented
67#19151531C2211yescharacteristic, complemented
68#19151531C2211yescharacteristic, complemented
69#19151529C2211yescharacteristic, complemented
70#19151528C2211yescharacteristic, complemented
71#19151527C2211yescharacteristic, complemented
72#19151527C2211yescharacteristic, complemented
73#19151526C2211yescharacteristic, complemented
74#19151526C2211yescharacteristic, complemented
75#19151526C2211yescharacteristic, complemented
76#19151525C2211yescharacteristic, complemented
77#19151524C2211yescharacteristic, complemented
78#19151524C2211yescharacteristic, complemented
79#19151523C2211yescharacteristic, complemented
80#19151521C2211yescharacteristic, complemented
81#19151520C2211yescharacteristic, complemented
82#19151520C2211yescharacteristic, complemented
83#19151520C2211yescharacteristic, complemented
84#19151520C2211yescharacteristic, complemented
85#19151516C2211yescharacteristic, complemented
86#19151515C2211yescharacteristic, complemented
87#19151514C2211yescharacteristic
88#19151514C2211yescharacteristic
89#19151514C2211yescharacteristic, complemented
90#19151513C2211yescharacteristic
91#19151513C2211yescharacteristic
92#19151513C2211yescharacteristic
93#19151513C2211yescharacteristic
94#19151513C2211yescharacteristic, complemented
95#19151509C2211yescharacteristic, complemented
96#19151509C2211yescharacteristic, complemented
97#19151507C2211yescharacteristic
98#19151507C2211yescharacteristic
99#19151505C2211yescharacteristic, complemented
100#19151499C2211yescharacteristic, complemented
101#19151499C2211yescharacteristic, complemented
102#19151493C2211yescharacteristic, complemented
103#19151492C2211yescharacteristic, complemented
104#19151492C2211yescharacteristic, complemented
105#19151491C2211yescharacteristic, complemented
106#19151491C2211yescharacteristic, complemented
107#19151488C2211yescharacteristic, complemented
108#19151488C2211yescharacteristic, complemented
109#19151487C2211yescharacteristic, complemented
110#19151487C2211yescharacteristic, complemented
111#19151486C2211yescharacteristic, complemented
112#19151484C2211yescharacteristic, complemented
113#19151483C2211yescharacteristic, complemented
114#19151479C2211yescharacteristic, complemented
115#19151477C2211yescharacteristic
116#19151477C2211yescharacteristic
117#19151477C2211yescharacteristic
118#19151477C2211yescharacteristic
119#19151477C2211yescharacteristic
120#19151477C2211yescharacteristic
121#19151477C2211yescharacteristic
122#19151477C2211yescharacteristic
123#19151477C2211yescharacteristic
124#19151477C2211yescharacteristic
125#19151477C2211yescharacteristic, complemented
126#19151477C2211yescharacteristic, complemented
127#19151476C2211yescharacteristic, complemented
128#19151476C2211yescharacteristic, complemented
129#19151476C2211yescharacteristic, complemented
130#19151475C2211yescharacteristic
131#19151475C2211yescharacteristic
132#19151474C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151474C2211yescharacteristic
136#19151474C2211yescharacteristic, complemented
137#19151473C2211yescharacteristic
138#19151473C2211yescharacteristic
139#19151473C2211yescharacteristic
140#19151472C2211yescharacteristic, complemented
141#19151472C2211yescharacteristic, complemented
142#19151471C2211yescharacteristic
143#19151471C2211yescharacteristic
144#19151471C2211yescharacteristic, complemented
145#19151471C2211yescharacteristic, complemented
146#19151470C2211yescharacteristic
147#19151470C2211yescharacteristic
148#19151470C2211yescharacteristic
149#19151469C2211yescharacteristic, complemented
150#19151469C2211yescharacteristic, complemented
151#19151469C2211yescharacteristic, complemented
152#19151469C2211yescharacteristic, complemented
153#19151469C2211yescharacteristic, complemented
154#19151469C2211yescharacteristic, complemented
155#19151462C2211yescharacteristic, complemented
156#19151461C2211yescharacteristic, complemented
157#19151461C2211yescharacteristic, complemented
158#19151460C2211yescharacteristic, complemented
159#19151457C2211yescharacteristic, complemented
160#19151457C2211yescharacteristic, complemented
161#19151456C2211yescharacteristic
162#19151456C2211yescharacteristic
163#19151455C2211yescharacteristic, complemented
164#19151455C2211yescharacteristic, complemented
165#19151455C2211yescharacteristic, complemented
166#19151455C2211yescharacteristic, complemented
167#19151454C2211yescharacteristic
168#19151453C2211yescharacteristic
169C22⋊C4×Dic89C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171C2×#15667919C2211yescharacteristic
172C24×C4×C89C2211yescharacteristic
173C2×C22⋊Q8×C89C2211yescharacteristic
174C2×C22⋊Q8×C89C2211yescharacteristic, complemented
175C2×C22⋊Q8×C89C2211yescharacteristic, complemented
176#385×C89C2211yescharacteristic
177#385×C89C2211yescharacteristic
178#385×C89C2211yescharacteristic, complemented
179#385×C89C2211yescharacteristic, complemented
180#385×C89C2211yescharacteristic, complemented
181#385×C89C2211yescharacteristic, complemented
182#380×C89C2211yescharacteristic
183#380×C89C2211yescharacteristic, complemented
184#380×C89C2211yescharacteristic, complemented
185#379×C89C2211yescharacteristic
186#379×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×C22⋊D89—24no—
191C22×C22⋊D89—42no—
192C22×C22⋊D89—42no—
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C22×C4×D89C2311yescharacteristic
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208#15668005—42no—
209#15667997—42no—
210#15667995—42no—
211#15667995—42no—
212#15667994—42no—
213#15667994—42no—
214#15667994—42no—
215#15667988—42no—
216#15667985—42no—
217#15667985—42no—
218#15667982—24no—
219#15667981—42no—
220#15667972—42no—
221C2×C4⋊Dic89C2311yescharacteristic
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
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—42no—
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×#13083551—42no—
257C2×#13083551—42no—
258C2×#13083551C2311yescharacteristic
259C2×#13083551C2311yescharacteristic
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C22⋊C4×D89—24no—
286C22⋊C4×D89—42no—
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
328C25×C89C2311yescharacteristic
329C22×Q8×C89C2311yescharacteristic
330C23×C4×C89—42no—
331C23×C4×C89—42no—
332C23×C4×C89—42no—
333C23×C4×C89C2311yescharacteristic
334C23×C4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C22⋊Q8×C89—42no—
340C22⋊Q8×C89—42no—
341C22⋊Q8×C89—42no—
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C4⋊C4×C89C2311yescharacteristic
345C2×C4⋊C4×C89C2311yescharacteristic
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊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
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—41no—
372C23×D89—41no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89#4114yes—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C2×D356—22no—
380C2×D356—22no—
381C2×D356—41no—
382C2×D356—41no—
383C2×D356—41no—
384C2×D356—41no—
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—22no—
393C2×C22⋊D89—22no—
394C2×C22⋊D89—22no—
395C2×C22⋊D89—22no—
396C2×C22⋊D89—22no—
397C2×C22⋊D89—22no—
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—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—416no—
407C22×Dic89—22no—
408C22×Dic89—22no—
409C22×Dic89—22no—
410C22×Dic89—41no—
411C22×Dic89—41no—
412C22×Dic89—41no—
413C22×Dic89—41no—
414C22×Dic89—41no—
415C22×Dic89—41no—
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—41no—
432C2×C4×D89—41no—
433C2×C4×D89—41no—
434C2×C4×D89—41no—
435C2×C4×D89—41no—
436C2×C4×D89—41no—
437C2×C4×D89—41no—
438C2×C4×D89—41no—
439C2×C4×D89—41no—
440C2×C4×D89—41no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C4⋊Dic89—41no—
445C4⋊Dic89—41no—
446C4⋊Dic89—41no—
447C4⋊Dic89—41no—
448C4⋊Dic89—41no—
449C4⋊Dic89—41no—
450#13083553—22no—
451#13083553—41no—
452#13083553—41no—
453#13083553—41no—
454#13083553—41no—
455#13083553—41no—
456#13083553—41no—
457#13083553—41no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462#13083553—41no—
463#13083553—41no—
464#13083553—41no—
465C22⋊Dic89—22no—
466C22⋊Dic89—22no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—22no—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478#13083551—22no—
479#13083551—22no—
480#13083551—22no—
481#13083551—22no—
482#13083551—22no—
483#13083551—22no—
484#13083551—22no—
485#13083551—41no—
486#13083551—41no—
487#13083551—41no—
488#13083551—41no—
489#13083551—41no—
490#13083551—41no—
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—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C24×C89—22no—
509C24×C89—22no—
510C24×C89—22no—
511C24×C89—22no—
512C24×C89—22no—
513C24×C89—41no—
514C24×C89—41no—
515C24×C89C2411yescharacteristic
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C2×Q8×C89—22no—
519C2×Q8×C89—41no—
520C2×Q8×C89—41no—
521C22×C4×C89—22no—
522C22×C4×C89—22no—
523C22×C4×C89—22no—
524C22×C4×C89—22no—
525C22×C4×C89—22no—
526C22×C4×C89—22no—
527C22×C4×C89—22no—
528C22×C4×C89—41no—
529C22×C4×C89—41no—
530C22×C4×C89—41no—
531C22×C4×C89—41no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—416no—
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C4⋊C4×C89—22no—
553C4⋊C4×C89—41no—
554C4⋊C4×C89—41no—
555C4⋊C4×C89—41no—
556C4⋊C4×C89—41no—
557C4⋊C4×C89—41no—
558C4⋊C4×C89—41no—
559C4⋊C4×C89—41no—
560C4⋊C4×C89—41no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
564C22⋊C4×C89—22no—
565C22⋊C4×C89—22no—
566C22⋊C4×C89—22no—
567C22⋊C4×C89—22no—
568C22⋊C4×C89—22no—
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—44no—
591C23×C89—44no—
592C23×C89—44no—
593C23×C89—44no—
594C23×C89—44no—
595C23×C89—44no—
596C23×C89C2×#4112yes—
597C23×C89H(5,𝔽2)12yes—
598C23×C89H(5,𝔽2)12yes—
599C23×C89H(5,𝔽2)12yes—
600C23×C892−1+412yes—
601C23×C89C2511yescharacteristic
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—28no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—44no—
623C22×D89—44no—
624C22×D89—82no—
625C22×D89—82no—
626C22×D89—82no—
627C22×D89—82no—
628C22×D89C2×#4112yes—
629C22×D89C2×#4112yes—
630Q8×C89—82no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—44no—
667C2×C4×C89—44no—
668C2×C4×C89—44no—
669C2×C4×C89—44no—
670C2×C4×C89—44no—
671C2×C4×C89—44no—
672C2×C4×C89H(5,𝔽2)12yes—
673C22⋊D89—44no—
674C22⋊D89—44no—
675C22⋊D89—44no—
676C22⋊D89—44no—
677C22⋊D89—44no—
678C22⋊D89—82no—
679C22⋊D89—82no—
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—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—44no—
720C2×Dic89—82no—
721C2×Dic89—82no—
722D356—82no—
723D356—82no—
724C4×D89—82no—
725C4×D89—82no—
726C4×D89—82no—
727C4×D89—82no—
728C4×D89—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—416no—
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#53914yes—
751C22×C89C22×#4111yescharacteristic
752C22×C89C2×H(5,𝔽2)11yescharacteristic
753C22×C89C2×H(5,𝔽2)11yescharacteristic
754C22×C89C2×H(5,𝔽2)11yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89C2×2−1+411yescharacteristic
757C22×C89#58511yescharacteristic
758C2×D89—22no—
759C2×D89—22no—
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
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—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89—88no—
780C4×C89—22no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789C4×C89—41no—
790C4×C89—41no—
791C4×C89—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×C89C2×#53911yescharacteristic
810C2×C89#349011yescharacteristic
811C2×C89#350511yescharacteristic
812C2×C89#353211yescharacteristic
813C2×C89#353411yescharacteristic
814C2×C89#353511yescharacteristic
815C2×C89#353611yescharacteristic
816D89—42no—
817D89—42no—
818D89—81no—
819#2849—891no—
820#2848D8911yescharacteristic, complemented
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#2410—891no—
846#2405—891no—
847#2321—891no—
848#2315—891no—
849C2×#386—891no—
850C89#3677511yescharacteristic, complemented, Sylow
851C23×D4—891no—
852C24×C4C2×D8911yescharacteristic
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⋊Q8C2×D8911yescharacteristic
862C2×C22⋊Q8C2×D8911yescharacteristic, complemented
863C2×C22⋊Q8C2×D8911yescharacteristic, complemented
864C2×#121—891no—
865C2×#121—891no—
866C2×#120—891no—
867C2×#120—891no—
868C2×C4×D4—891no—
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4—891no—
872C22×C22⋊C4—891no—
873C22×C22⋊C4—891no—
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#394—891no—
917#394—891no—
918#393—891no—
919#393—891no—
920#392—891no—
921#392—891no—
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#386—891no—
958#386—891no—
959#386—891no—
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#385C2×D8911yescharacteristic
979#385C2×D8911yescharacteristic
980#385C2×D8911yescharacteristic, complemented
981#385C2×D8911yescharacteristic, complemented
982#385C2×D8911yescharacteristic, complemented
983#385C2×D8911yescharacteristic, complemented
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#380C2×D8911yescharacteristic
997#380C2×D8911yescharacteristic, complemented
998#380C2×D8911yescharacteristic, complemented
999#379—891no—
1000#379—891no—
1001#379C2×D8911yescharacteristic
1002#379C2×D8911yescharacteristic
1003C4×C22⋊C4—891no—
1004C2×#95—891no—
1005C2×#95—891no—
1006C25—891no—
1007C25C22×D8911yescharacteristic
1008C22×Q8C22×D8911yescharacteristic
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4—891no—
1017C22×D4—891no—
1018C22×D4—3562no—
1019C22×D4—3562no—
1020C22×D4—1784no—
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
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×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034C23×C4C22×D8911yescharacteristic
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—42no—
1046C22⋊Q8—42no—
1047C22⋊Q8—42no—
1048C22⋊Q8—3562no—
1049#121—3562no—
1050#121—3562no—
1051#120—3562no—
1052#120—1784no—
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⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C4⋊C4C22×D8911yescharacteristic
1079C2×C4⋊C4C22×D8911yescharacteristic
1080C2×C4⋊C4C22×D8911yescharacteristic
1081C2×C4⋊C4C22×D8911yescharacteristic
1082C2×C4⋊C4C22×D8911yescharacteristic
1083C2×C4⋊C4C22×D8911yescharacteristic
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—3562no—
1125C2×C22⋊C4—3562no—
1126C2×C22⋊C4—3562no—
1127C2×C22⋊C4—3562no—
1128C2×C22⋊C4—1784no—
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#95C22×D8911yescharacteristic
1183#95C22×D8911yescharacteristic
1184#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—41no—
1194C24—41no—
1195C24—894no—
1196C24—891no—
1197C24—891no—
1198C24—891no—
1199C24—3561no—
1200C24—3561no—
1201C24—3561no—
1202C24—3561no—
1203C24—1782no—
1204C24—1782no—
1205C24C23×D8911yescharacteristic
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—3561no—
1212C2×D4—3561no—
1213C2×D4—3561no—
1214C2×D4—3561no—
1215C2×D4—35616no—
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—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—416no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—891no—
1265C22×C4—891no—
1266C22×C4—891no—
1267C22×C4—891no—
1268C22×C4—891no—
1269C22×C4—891no—
1270C22×C4—891no—
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—3561no—
1288C22×C4—3561no—
1289C22×C4—3561no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
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
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
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—3561no—
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—22no—
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—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—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—892no—
1416C23—892no—
1417C23—3564no—
1418C23—3564no—
1419C23—1781no—
1420C23—1781no—
1421C23—1781no—
1422C23—1781no—
1423C23—1781no—
1424C23—1781no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1788no—
1439C23—7122no—
1440C23—7122no—
1441C23—7122no—
1442C23—7122no—
1443C23#41×D8912yes—
1444C23#1566805712yes—
1445C23#1566805712yes—
1446C23#1566805812yes—
1447C23#1566806012yes—
1448C23C24×D8911yescharacteristic
1449Q8—82no—
1450D4—3564no—
1451D4—3564no—
1452D4—3564no—
1453D4—3564no—
1454D4—3564no—
1455D4—7122no—
1456D4—7122no—
1457D4—7122no—
1458D4—7122no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—3564no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—7122no—
1541C2×C4—7122no—
1542C2×C4—7122no—
1543C2×C4—7122no—
1544C2×C4—7122no—
1545C2×C4—7122no—
1546C2×C4—7122no—
1547C2×C4#1566805712yes—
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—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
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—3561no—
1582C22—3561no—
1583C22—3561no—
1584C22—1782no—
1585C22—1782no—
1586C22—1782no—
1587C22—1782no—
1588C22—1782no—
1589C22—1782no—
1590C22—7128no—
1591C22#1915219414yes—
1592C22C2×#41×D8911yescharacteristic
1593C22C2×#1566805711yescharacteristic
1594C22C2×#1566805711yescharacteristic
1595C22C2×#1566805711yescharacteristic
1596C22C2×#1566805811yescharacteristic
1597C22C2×#1566806011yescharacteristic
1598C22#1915243411yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
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—3561no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—3562no—
1628C2—3562no—
1629C2—7121no—
1630C2C2×#1915219411yescharacteristic
1631C2#2603393511yescharacteristic
1632C2#2603408011yescharacteristic
1633C2#2603440711yescharacteristic
1634C2#2603443611yescharacteristic
1635C2#2603446111yescharacteristic
1636C2#2603448111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2848C2
prime radical#26023628C2
hypercenter#2848D89
hypocenterC89#36775
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. #26028544C2semidirect
2. #26027927C2semidirect
3. #26027494C2semidirect
4. #26027433C2semidirect
5. #26027432C2semidirect
6. #26027386C2semidirect
7. #26027219C2semidirect
8. #26026974C2semidirect
9. #26026967C2semidirect
10. #26026941C2semidirect
11. #26026796C2semidirect
12. #26026784C2semidirect
13. #26026761C2semidirect
14. #26026759C2semidirect
15. #26026731C2semidirect
16. #26026669C2semidirect
17. #26026600C2semidirect
18. #26026224C2semidirect
19. #26026208C2semidirect
20. #26024749C2semidirect
21. #26024495C2semidirect
22. #26024072C2semidirect
23. #26023915C2semidirect
24. #26023718C2semidirect
25. #26023645C2semidirect
27. #26023577C2semidirect
28. #26022909C2semidirect
29. #26022863C2semidirect
30. C2×#19151477C2semidirect
31. C89×#2848C2semidirect
33. C2×#15668005C22semidirect
34. C2×#15667997C22semidirect
35. C2×#15667995C22semidirect
36. C2×#15667995C22semidirect
39. C2×#15667994C22semidirect
40. C2×#15667988C22semidirect
51. C89⋊#401C22semidirect
52. #19151540C22semidirect
53. #19151539C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151538C22semidirect
57. #19151538C22semidirect
58. #19151537C22semidirect
59. #19151536C22semidirect
60. #19151536C22semidirect
61. #19151536C22semidirect
62. #19151536C22semidirect
63. #19151534C22semidirect
64. #19151533C22semidirect
65. #19151532C22semidirect
66. #19151531C22semidirect
67. #19151531C22semidirect
68. #19151531C22semidirect
69. #19151529C22semidirect
70. #19151528C22semidirect
71. #19151527C22semidirect
72. #19151527C22semidirect
73. #19151526C22semidirect
74. #19151526C22semidirect
75. #19151526C22semidirect
76. #19151525C22semidirect
77. #19151524C22semidirect
78. #19151524C22semidirect
79. #19151523C22semidirect
80. #19151521C22semidirect
81. #19151520C22semidirect
82. #19151520C22semidirect
83. #19151520C22semidirect
84. #19151520C22semidirect
85. #19151516C22semidirect
86. #19151515C22semidirect
89. #19151514C22semidirect
94. #19151513C22semidirect
95. #19151509C22semidirect
96. #19151509C22semidirect
99. #19151505C22semidirect
100. #19151499C22semidirect
101. #19151499C22semidirect
102. #19151493C22semidirect
103. #19151492C22semidirect
104. #19151492C22semidirect
105. #19151491C22semidirect
106. #19151491C22semidirect
107. #19151488C22semidirect
108. #19151488C22semidirect
109. #19151487C22semidirect
110. #19151487C22semidirect
111. #19151486C22semidirect
112. #19151484C22semidirect
113. #19151483C22semidirect
114. #19151479C22semidirect
125. #19151477C22semidirect
126. #19151477C22semidirect
127. #19151476C22semidirect
128. #19151476C22semidirect
129. #19151476C22semidirect
136. #19151474C22semidirect
140. #19151472C22semidirect
141. #19151472C22semidirect
144. #19151471C22semidirect
145. #19151471C22semidirect
149. #19151469C22semidirect
150. #19151469C22semidirect
151. #19151469C22semidirect
152. #19151469C22semidirect
153. #19151469C22semidirect
154. #19151469C22semidirect
155. #19151462C22semidirect
156. #19151461C22semidirect
157. #19151461C22semidirect
158. #19151460C22semidirect
159. #19151457C22semidirect
160. #19151457C22semidirect
163. #19151455C22semidirect
164. #19151455C22semidirect
165. #19151455C22semidirect
166. #19151455C22semidirect
174. C2×C22⋊Q8×C89C22semidirect
175. C2×C22⋊Q8×C89C22semidirect
178. #385×C89C22semidirect
179. #385×C89C22semidirect
180. #385×C89C22semidirect
181. #385×C89C22semidirect
183. #380×C89C22semidirect
184. #380×C89C22semidirect
820. #2848D89semidirect
850. C89#36775semidirect
862. C2×C22⋊Q8C2×D89semidirect
863. C2×C22⋊Q8C2×D89semidirect
980. #385C2×D89semidirect
981. #385C2×D89semidirect
982. #385C2×D89semidirect
983. #385C2×D89semidirect
997. #380C2×D89semidirect
998. #380C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285442
#260279272
#260274942
#260274332
#260274322
#260273862
#260272192
#260269742
#260269672
#260269412
#260267962
#260267842
#260267612
#260267592
#260267312
#260266692
#260266002
#260262242
#260262082
#260247492
#260244952
#260240722
#260239152
#260237182
#260236452
#260236282
#260235772
#260229092
#260228632
C2×#191514772
C89×#28482
#3677589