Finite Group Databasebeta

← #36763290

Subgroups — #36763290

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#26028544C211yesmaximal, characteristic, complemented
2#26028539C211yesmaximal, characteristic, complemented
3#26028094C211yesmaximal, characteristic, complemented
4#26027639C211yesmaximal, characteristic, complemented
5#26027583C211yesmaximal, characteristic, complemented
6#26027505C211yesmaximal, characteristic, complemented
7#26027311C211yesmaximal, characteristic, complemented
8#26027250C211yesmaximal, characteristic, complemented
9#26027174C211yesmaximal, characteristic, complemented
10#26027058C211yesmaximal, characteristic, complemented
11#26027019C211yesmaximal, characteristic, complemented
12#26026994C211yesmaximal, characteristic, complemented
13#26026929C211yesmaximal, characteristic, complemented
14#26026868C211yesmaximal, characteristic, complemented
15#26026854C211yesmaximal, characteristic, complemented
16#26026728C211yesmaximal, characteristic, complemented
17#26026653C211yesmaximal, characteristic, complemented
18#26026507C211yesmaximal, characteristic, complemented
19#26026057C211yesmaximal, characteristic, complemented
20#26026025C211yesmaximal, characteristic, complemented
21#26025432C211yesmaximal, characteristic, complemented
22#26025263C211yesmaximal, characteristic, complemented
23#26024492C211yesmaximal, characteristic, complemented
24#26024492C211yesmaximal, characteristic, complemented
25#26024372C211yesmaximal, characteristic, complemented
26#26024372C211yesmaximal, characteristic, complemented
27#26023899C211yesmaximal, characteristic, complemented
28#26023602C211yesmaximal, characteristic
29#26022985C211yesmaximal, characteristic, complemented
30#26022886C211yesmaximal, characteristic, complemented
31C2×#386×C89C211yesmaximal, characteristic, complemented
32C2×#15668005C2211yescharacteristic, complemented
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15667999C2211yescharacteristic
35C2×#15667999C2211yescharacteristic
36C2×#15667998C2211yescharacteristic, complemented
37C2×#15667998C2211yescharacteristic, complemented
38C2×#15667995C2211yescharacteristic, complemented
39C2×#15667995C2211yescharacteristic, complemented
40C2×#15667991C2211yescharacteristic
41C2×#15667991C2211yescharacteristic
42C2×#15667991C2211yescharacteristic
43C2×#15667991C2211yescharacteristic, complemented
44C2×#15667991C2211yescharacteristic, complemented
45C2×#15667983C2211yescharacteristic
46C2×#15667983C2211yescharacteristic
47C2×#15667981C2211yescharacteristic
48C2×#15667981C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50#19151538C2211yescharacteristic, complemented
51#19151535C2211yescharacteristic, complemented
52#19151534C2211yescharacteristic, complemented
53#19151534C2211yescharacteristic, complemented
54#19151532C2211yescharacteristic, complemented
55#19151532C2211yescharacteristic, complemented
56#19151526C2211yescharacteristic, complemented
57#19151526C2211yescharacteristic, complemented
58#19151526C2211yescharacteristic, complemented
59#19151526C2211yescharacteristic, complemented
60#19151526C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151526C2211yescharacteristic, complemented
65#19151526C2211yescharacteristic, complemented
66#19151523C2211yescharacteristic, complemented
67#19151523C2211yescharacteristic, complemented
68#19151521C2211yescharacteristic, complemented
69#19151521C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151519C2211yescharacteristic, complemented
75#19151519C2211yescharacteristic, complemented
76#19151519C2211yescharacteristic, complemented
77#19151514C2211yescharacteristic, complemented
78#19151514C2211yescharacteristic, complemented
79#19151513C2211yescharacteristic, complemented
80#19151513C2211yescharacteristic, complemented
81#19151513C2211yescharacteristic, complemented
82#19151513C2211yescharacteristic, complemented
83#19151513C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic, complemented
85#19151512C2211yescharacteristic
86#19151512C2211yescharacteristic
87#19151512C2211yescharacteristic
88#19151512C2211yescharacteristic
89#19151512C2211yescharacteristic
90#19151512C2211yescharacteristic
91#19151511C2211yescharacteristic, complemented
92#19151510C2211yescharacteristic, complemented
93#19151510C2211yescharacteristic, complemented
94#19151510C2211yescharacteristic, complemented
95#19151510C2211yescharacteristic, complemented
96#19151506C2211yescharacteristic
97#19151506C2211yescharacteristic
98#19151502C2211yescharacteristic, complemented
99#19151502C2211yescharacteristic, complemented
100#19151502C2211yescharacteristic, complemented
101#19151502C2211yescharacteristic, complemented
102#19151501C2211yescharacteristic
103#19151501C2211yescharacteristic
104#19151501C2211yescharacteristic
105#19151501C2211yescharacteristic
106#19151498C2211yescharacteristic, complemented
107#19151498C2211yescharacteristic, complemented
108#19151495C2211yescharacteristic, complemented
109#19151495C2211yescharacteristic, complemented
110#19151495C2211yescharacteristic, complemented
111#19151495C2211yescharacteristic, complemented
112#19151492C2211yescharacteristic, complemented
113#19151492C2211yescharacteristic, complemented
114#19151491C2211yescharacteristic, complemented
115#19151491C2211yescharacteristic, complemented
116#19151491C2211yescharacteristic, complemented
117#19151491C2211yescharacteristic, complemented
118#19151487C2211yescharacteristic, complemented
119#19151487C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic, complemented
121#19151486C2211yescharacteristic, complemented
122#19151486C2211yescharacteristic, complemented
123#19151486C2211yescharacteristic, complemented
124#19151485C2211yescharacteristic, complemented
125#19151485C2211yescharacteristic, complemented
126#19151483C2211yescharacteristic, complemented
127#19151483C2211yescharacteristic, complemented
128#19151481C2211yescharacteristic, complemented
129#19151481C2211yescharacteristic, complemented
130#19151480C2211yescharacteristic, complemented
131#19151480C2211yescharacteristic, complemented
132#19151477C2211yescharacteristic
133#19151477C2211yescharacteristic
134#19151477C2211yescharacteristic
135#19151477C2211yescharacteristic
136#19151477C2211yescharacteristic, complemented
137#19151477C2211yescharacteristic, complemented
138#19151472C2211yescharacteristic, complemented
139#19151472C2211yescharacteristic, complemented
140#19151471C2211yescharacteristic
141#19151471C2211yescharacteristic
142#19151471C2211yescharacteristic
143#19151471C2211yescharacteristic
144#19151471C2211yescharacteristic
145#19151471C2211yescharacteristic
146#19151471C2211yescharacteristic, complemented
147#19151471C2211yescharacteristic, complemented
148#19151471C2211yescharacteristic, complemented
149#19151471C2211yescharacteristic, complemented
150#19151471C2211yescharacteristic, complemented
151#19151471C2211yescharacteristic, complemented
152#19151465C2211yescharacteristic, complemented
153#19151462C2211yescharacteristic, complemented
154#19151461C2211yescharacteristic, complemented
155#19151461C2211yescharacteristic, complemented
156#19151460C2211yescharacteristic, complemented
157#19151458C2211yescharacteristic
158#19151458C2211yescharacteristic
159#19151458C2211yescharacteristic
160#19151458C2211yescharacteristic, complemented
161#19151458C2211yescharacteristic, complemented
162#19151457C2211yescharacteristic, complemented
163#19151454C2211yescharacteristic
164#19151454C2211yescharacteristic
165#19151454C2211yescharacteristic
166#19151454C2211yescharacteristic
167#19151454C2211yescharacteristic
168#19151454C2211yescharacteristic
169C4×C22⋊Dic89C2211yescharacteristic
170C4×C22⋊Dic89C2211yescharacteristic
171C4×C22⋊Dic89C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C24×C4×C89C2211yescharacteristic
174C22×C22⋊C4×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176C22×C22⋊C4×C89C2211yescharacteristic
177#386×C89C2211yescharacteristic
178#386×C89C2211yescharacteristic
179#386×C89C2211yescharacteristic
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185C2×#95×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C22×Dic178C2311yescharacteristic
189C22×Dic178C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C4×D89C2311yescharacteristic
196#15668005—42no—
197#15668005—42no—
198#15667999—42no—
199#15667999—42no—
200#15667998—42no—
201#15667998—42no—
202#15667995—42no—
203#15667995—42no—
204#15667991—24no—
205#15667991—42no—
206#15667991—42no—
207#15667991—42no—
208#15667991—42no—
209#15667983—42no—
210#15667983—42no—
211#15667981—42no—
212#15667981—42no—
213C4×C22⋊D89—24no—
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×C4⋊Dic89C2311yescharacteristic
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×C4⋊Dic89C2311yescharacteristic
222C2×C4⋊Dic89C2311yescharacteristic
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⋊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×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
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
325C25×C89C2311yescharacteristic
326C25×C89C2311yescharacteristic
327C22×D4×C89—24no—
328C22×D4×C89—42no—
329C22×D4×C89—42no—
330C22×D4×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C23×C4×C89—42no—
335C23×C4×C89—42no—
336C23×C4×C89—42no—
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344C23×C4×C89C2311yescharacteristic
345C23×C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89—42no—
347C2×C22⋊C4×C89—42no—
348C2×C22⋊C4×C89—42no—
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C2×Dic178—22no—
371C2×Dic178—22no—
372C2×Dic178—41no—
373C2×Dic178—41no—
374C2×Dic178—41no—
375C2×Dic178—41no—
376C2×Dic178—41no—
377C2×Dic178—41no—
378C2×Dic178—41no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—41no—
385C2×C22⋊D89—41no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C22×Dic89C2411yescharacteristic
395C22×Dic89C2411yescharacteristic
396C22×Dic89C2411yescharacteristic
397C22×Dic89C2411yescharacteristic
398C22×Dic89C2411yescharacteristic
399C22×Dic89C2411yescharacteristic
400C22×Dic89C2411yescharacteristic
401C22×Dic89C2411yescharacteristic
402C22×Dic89C2411yescharacteristic
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C2×C4×D89—22no—
410C2×C4×D89—41no—
411C2×C4×D89—41no—
412C4⋊Dic89—22no—
413C4⋊Dic89—22no—
414C4⋊Dic89—41no—
415C4⋊Dic89—41no—
416C4⋊Dic89—41no—
417C4⋊Dic89—41no—
418C4⋊Dic89—41no—
419C4⋊Dic89—41no—
420C4⋊Dic89—41no—
421#13083553—22no—
422#13083553—22no—
423#13083553—22no—
424#13083553—22no—
425#13083553—41no—
426#13083553—41no—
427#13083553—41no—
428#13083553—41no—
429#13083553—41no—
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—
440C22⋊Dic89—22no—
441C22⋊Dic89—22no—
442C22⋊Dic89—22no—
443C22⋊Dic89—22no—
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—41no—
454C22⋊Dic89—41no—
455C22⋊Dic89—41no—
456C22⋊Dic89—41no—
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—
475#13083551—22no—
476#13083551—22no—
477#13083551—41no—
478#13083551—41no—
479#13083551—41no—
480#13083551—41no—
481#13083551—41no—
482#13083551—41no—
483#13083551—41no—
484C4×Dic89—22no—
485C4×Dic89—41no—
486C4×Dic89—41no—
487C4×Dic89—41no—
488C4×Dic89—41no—
489C4×Dic89—41no—
490C4×Dic89—41no—
491C24×C89—22no—
492C24×C89—22no—
493C24×C89—22no—
494C24×C89—22no—
495C24×C89—22no—
496C24×C89—22no—
497C24×C89—22no—
498C24×C89—22no—
499C24×C89—41no—
500C24×C89—41no—
501C24×C89—41no—
502C24×C89—41no—
503C24×C89—41no—
504C24×C89—41no—
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—41no—
519C2×D4×C89—41no—
520C2×D4×C89—41no—
521C2×D4×C89—41no—
522C2×D4×C89—416no—
523C22×C4×C89—22no—
524C22×C4×C89—22no—
525C22×C4×C89—22no—
526C22×C4×C89—22no—
527C22×C4×C89—22no—
528C22×C4×C89—22no—
529C22×C4×C89—22no—
530C22×C4×C89—22no—
531C22×C4×C89—22no—
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—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×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—416no—
550C22×C4×C89#4114yes—
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22⋊C4×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—21no—
603C23×C89—21no—
604C23×C89—44no—
605C23×C89—44no—
606C23×C89—44no—
607C23×C89—44no—
608C23×C89—44no—
609C23×C89—44no—
610C23×C89—44no—
611C23×C89—44no—
612C23×C89—44no—
613C23×C89—82no—
614C23×C89—82no—
615C23×C89—82no—
616C23×C89—82no—
617C23×C89C2×#4112yes—
618C23×C89H(5,𝔽2)12yes—
619C23×C89H(5,𝔽2)12yes—
620C23×C89H(5,𝔽2)12yes—
621C23×C892−1+412yes—
622C23×C89C2511yescharacteristic
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630D4×C89—44no—
631D4×C89—44no—
632D4×C89—44no—
633D4×C89—44no—
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—44no—
662C2×C4×C89—44no—
663C2×C4×C89—44no—
664C2×C4×C89—44no—
665C2×C4×C89—44no—
666C2×C4×C89—44no—
667C2×C4×C89—44no—
668C2×C4×C89—82no—
669C2×C4×C89—82no—
670C2×C4×C89C2×#4112yes—
671C2×C4×C89C2×#4112yes—
672C2×C4×C89H(5,𝔽2)12yes—
673C22⋊D89—44no—
674C22⋊D89—82no—
675C22⋊D89—82no—
676C22⋊D89—82no—
677C22⋊D89—82no—
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—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C4×D89—82no—
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—88no—
763C22×C89#54214yes—
764C22×C89C22×#4111yescharacteristic
765C22×C89C2×H(5,𝔽2)11yescharacteristic
766C22×C89C2×H(5,𝔽2)11yescharacteristic
767C22×C89C2×H(5,𝔽2)11yescharacteristic
768C22×C89C2×H(5,𝔽2)11yescharacteristic
769C22×C89C2×2−1+411yescharacteristic
770C22×C89#58511yescharacteristic
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C4×C89—22no—
779C4×C89—22no—
780C4×C89—22no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
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×C89C2×#54211yescharacteristic
810C2×C89#349011yescharacteristic
811C2×C89#350611yescharacteristic
812C2×C89#353211yescharacteristic
813C2×C89#353411yescharacteristic
814C2×C89#353511yescharacteristic
815C2×C89#353611yescharacteristic
816D89—81no—
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#2408—891no—
845#2329—891no—
846#2318—891no—
847C2×#386D8911yescharacteristic, complemented
848C89#3679311yescharacteristic, complemented, Sylow
849C23×D4C2×D8911yescharacteristic
850C24×C4C2×D8911yescharacteristic
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×#121—891no—
865C2×#121—891no—
866C2×#120—891no—
867C2×#120—891no—
868C2×C4×D4—891no—
869C22×C22⋊C4C2×D8911yescharacteristic
870C22×C22⋊C4C2×D8911yescharacteristic
871C22×C22⋊C4C2×D8911yescharacteristic
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#394—891no—
912#394—891no—
913#393—891no—
914#393—891no—
915#393—891no—
916#393—891no—
917#393—891no—
918#392—891no—
919#392—891no—
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#390—891no—
929#390—891no—
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#386C2×D8911yescharacteristic
961#386C2×D8911yescharacteristic
962#386C2×D8911yescharacteristic
963#386C2×D8911yescharacteristic
964#386C2×D8911yescharacteristic
965#386C2×D8911yescharacteristic
966#386C2×D8911yescharacteristic
967#386C2×D8911yescharacteristic
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#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#380—891no—
993#379—891no—
994#379—891no—
995#379—891no—
996#379—891no—
997#379—891no—
998#379—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C2×#95C2×D8911yescharacteristic
1003C2×#95C2×D8911yescharacteristic
1004C25C22×D8911yescharacteristic
1005C25C22×D8911yescharacteristic
1006C22×Q8—891no—
1007C22×Q8—891no—
1008C22×Q8—891no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—891no—
1016C22×D4—891no—
1017C22×D4C22×D8911yescharacteristic
1018C22×D4C22×D8911yescharacteristic
1019C22×D4C22×D8911yescharacteristic
1020C22×D4C22×D8911yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—891no—
1025C23×C4C22×D8911yescharacteristic
1026C23×C4C22×D8911yescharacteristic
1027C23×C4C22×D8911yescharacteristic
1028C23×C4C22×D8911yescharacteristic
1029C23×C4C22×D8911yescharacteristic
1030C23×C4C22×D8911yescharacteristic
1031C23×C4C22×D8911yescharacteristic
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—3562no—
1048#121—3562no—
1049#120—3562no—
1050#120—3562no—
1051C4×D4—1784no—
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⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
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—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊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×C42—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#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180#95C22×D8911yescharacteristic
1181#95C22×D8911yescharacteristic
1182#95C22×D8911yescharacteristic
1183#95C22×D8911yescharacteristic
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—
1200C24—891no—
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—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—3561no—
1229C2×D4—3561no—
1230C2×D4—3561no—
1231C2×D4—3561no—
1232C2×D4—3561no—
1233C2×D4—3561no—
1234C2×D4—3561no—
1235C2×D4—3561no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—1782no—
1239C2×D4—1782no—
1240C2×D4—1782no—
1241C2×D4—1782no—
1242C2×D4—1782no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—416no—
1270C22×C4—891no—
1271C22×C4—891no—
1272C22×C4—891no—
1273C22×C4—891no—
1274C22×C4—891no—
1275C22×C4—891no—
1276C22×C4—891no—
1277C22×C4—891no—
1278C22×C4—891no—
1279C22×C4—891no—
1280C22×C4—891no—
1281C22×C4—891no—
1282C22×C4—891no—
1283C22×C4—891no—
1284C22×C4—891no—
1285C22×C4—3561no—
1286C22×C4—3561no—
1287C22×C4—1782no—
1288C22×C4#1308357414yes—
1289C22×C4C23×D8911yescharacteristic
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—3561no—
1300C4⋊C4—3561no—
1301C4⋊C4—3561no—
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—1782no—
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—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
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—1782no—
1369C22⋊C4—1782no—
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—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—1782no—
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—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23C2×#1308357412yes—
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—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—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—82no—
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×C4C2×#1308357412yes—
1542C2×C4C2×#1308357412yes—
1543C2×C4#1566805712yes—
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—88no—
1580C22—3561no—
1581C22—3561no—
1582C22—3561no—
1583C22—3561no—
1584C22—3561no—
1585C22—3561no—
1586C22—3561no—
1587C22#1915221314yes—
1588C22C22×#1308357411yescharacteristic
1589C22C2×#1566805711yescharacteristic
1590C22C2×#1566805711yescharacteristic
1591C22C2×#1566805711yescharacteristic
1592C22C2×#1566805711yescharacteristic
1593C22C2×#1566805911yescharacteristic
1594C22#1915243411yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
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—3561no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—7121no—
1626C2C2×#1915221311yescharacteristic
1627C2#2603394111yescharacteristic
1628C2#2603410411yescharacteristic
1629C2#2603440711yescharacteristic
1630C2#2603444211yescharacteristic
1631C2#2603446511yescharacteristic
1632C2#2603447411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC2×#386×C89C2
prime radical#26023602C2
hypercenterC2×#386D89
hypocenterC89#36793
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #26028544C2semidirect
2. #26028539C2semidirect
3. #26028094C2semidirect
4. #26027639C2semidirect
5. #26027583C2semidirect
6. #26027505C2semidirect
7. #26027311C2semidirect
8. #26027250C2semidirect
9. #26027174C2semidirect
10. #26027058C2semidirect
11. #26027019C2semidirect
12. #26026994C2semidirect
13. #26026929C2semidirect
14. #26026868C2semidirect
15. #26026854C2semidirect
16. #26026728C2semidirect
17. #26026653C2semidirect
18. #26026507C2semidirect
19. #26026057C2semidirect
20. #26026025C2semidirect
21. #26025432C2semidirect
22. #26025263C2semidirect
23. #26024492C2semidirect
24. #26024492C2semidirect
25. #26024372C2semidirect
26. #26024372C2semidirect
27. #26023899C2semidirect
29. #26022985C2semidirect
30. #26022886C2semidirect
31. C2×#386×C89C2semidirect
32. C2×#15668005C22semidirect
33. C2×#15668005C22semidirect
36. C2×#15667998C22semidirect
37. C2×#15667998C22semidirect
38. C2×#15667995C22semidirect
39. C2×#15667995C22semidirect
43. C2×#15667991C22semidirect
44. C2×#15667991C22semidirect
50. #19151538C22semidirect
51. #19151535C22semidirect
52. #19151534C22semidirect
53. #19151534C22semidirect
54. #19151532C22semidirect
55. #19151532C22semidirect
56. #19151526C22semidirect
57. #19151526C22semidirect
58. #19151526C22semidirect
59. #19151526C22semidirect
60. #19151526C22semidirect
61. #19151526C22semidirect
62. #19151526C22semidirect
63. #19151526C22semidirect
64. #19151526C22semidirect
65. #19151526C22semidirect
66. #19151523C22semidirect
67. #19151523C22semidirect
68. #19151521C22semidirect
69. #19151521C22semidirect
70. #19151521C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151521C22semidirect
74. #19151519C22semidirect
75. #19151519C22semidirect
76. #19151519C22semidirect
77. #19151514C22semidirect
78. #19151514C22semidirect
79. #19151513C22semidirect
80. #19151513C22semidirect
81. #19151513C22semidirect
82. #19151513C22semidirect
83. #19151513C22semidirect
84. #19151513C22semidirect
91. #19151511C22semidirect
92. #19151510C22semidirect
93. #19151510C22semidirect
94. #19151510C22semidirect
95. #19151510C22semidirect
98. #19151502C22semidirect
99. #19151502C22semidirect
100. #19151502C22semidirect
101. #19151502C22semidirect
106. #19151498C22semidirect
107. #19151498C22semidirect
108. #19151495C22semidirect
109. #19151495C22semidirect
110. #19151495C22semidirect
111. #19151495C22semidirect
112. #19151492C22semidirect
113. #19151492C22semidirect
114. #19151491C22semidirect
115. #19151491C22semidirect
116. #19151491C22semidirect
117. #19151491C22semidirect
118. #19151487C22semidirect
119. #19151487C22semidirect
120. #19151486C22semidirect
121. #19151486C22semidirect
122. #19151486C22semidirect
123. #19151486C22semidirect
124. #19151485C22semidirect
125. #19151485C22semidirect
126. #19151483C22semidirect
127. #19151483C22semidirect
128. #19151481C22semidirect
129. #19151481C22semidirect
130. #19151480C22semidirect
131. #19151480C22semidirect
136. #19151477C22semidirect
137. #19151477C22semidirect
138. #19151472C22semidirect
139. #19151472C22semidirect
146. #19151471C22semidirect
147. #19151471C22semidirect
148. #19151471C22semidirect
149. #19151471C22semidirect
150. #19151471C22semidirect
151. #19151471C22semidirect
152. #19151465C22semidirect
153. #19151462C22semidirect
154. #19151461C22semidirect
155. #19151461C22semidirect
156. #19151460C22semidirect
160. #19151458C22semidirect
161. #19151458C22semidirect
162. #19151457C22semidirect
847. C2×#386D89semidirect
848. C89#36793semidirect

Maximal subgroups

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

subgroupindex
#260285442
#260285392
#260280942
#260276392
#260275832
#260275052
#260273112
#260272502
#260271742
#260270582
#260270192
#260269942
#260269292
#260268682
#260268542
#260267282
#260266532
#260265072
#260260572
#260260252
#260254322
#260252632
#260244922
#260243722
#260238992
#260236022
#260229852
#260228862
C2×#386×C892
#3679389