Finite Group Databasebeta

← #36761521

Subgroups — #36761521

Order 22784.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152187C211yesmaximal, characteristic, complemented
2C2×#19152110C211yesmaximal, characteristic, complemented
3#26028547C211yesmaximal, characteristic, complemented
4#26028533C211yesmaximal, characteristic, complemented
5#26026924C211yesmaximal, characteristic, complemented
6#26026879C211yesmaximal, characteristic, complemented
7#26026845C211yesmaximal, characteristic, complemented
8#26026838C211yesmaximal, characteristic, complemented
9#26026670C211yesmaximal, characteristic, complemented
10#26026620C211yesmaximal, characteristic, complemented
11#26026609C211yesmaximal, characteristic, complemented
12#26026599C211yesmaximal, characteristic, complemented
13#26026585C211yesmaximal, characteristic, complemented
14#26026582C211yesmaximal, characteristic, complemented
15#26026582C211yesmaximal, characteristic, complemented
16#26026572C211yesmaximal, characteristic, complemented
17#26026500C211yesmaximal, characteristic, complemented
18#26026475C211yesmaximal, characteristic, complemented
19#26026467C211yesmaximal, characteristic, complemented
20#26026467C211yesmaximal, characteristic, complemented
21#26026143C211yesmaximal, characteristic, complemented
22#26026101C211yesmaximal, characteristic, complemented
23#26025939C211yesmaximal, characteristic, complemented
24#26025881C211yesmaximal, characteristic, complemented
25#26025841C211yesmaximal, characteristic, complemented
26#26025223C211yesmaximal, characteristic, complemented
27#26025146C211yesmaximal, characteristic, complemented
28#26023596C211yesmaximal, characteristic, complemented
29#26023569C211yesmaximal, characteristic, complemented
30#26022890C211yesmaximal, characteristic, complemented
31C89×#2601C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic, complemented
34#19152187—28no—
35C2×#15668009C2211yescharacteristic
36C2×#15668007C2211yescharacteristic, complemented
37C2×#15668000C2211yescharacteristic, complemented
38C2×#15668000C2211yescharacteristic, complemented
39C2×#15667998C2211yescharacteristic
40#19152110—28no—
41C2×#15667997C2211yescharacteristic
42C2×#15667997C2211yescharacteristic
43C2×#15667997C2211yescharacteristic
44C2×#15667996C2211yescharacteristic
45C2×#15667996C2211yescharacteristic, complemented
46C2×#15667994C2211yescharacteristic, complemented
47C2×#15667992C2211yescharacteristic, complemented
48C2×#15667992C2211yescharacteristic, complemented
49C2×#15667990C2211yescharacteristic, complemented
50C2×#15667990C2211yescharacteristic, complemented
51C2×#15667987C2211yescharacteristic
52C2×#15667987C2211yescharacteristic
53C2×#15667987C2211yescharacteristic
54C2×#15667987C2211yescharacteristic
55C2×#15667985C2211yescharacteristic
56C2×#15667985C2211yescharacteristic
57C2×#15667985C2211yescharacteristic, complemented
58C2×#15667984C2211yescharacteristic
59C2×#15667982C2211yescharacteristic
60C2×#15667982C2211yescharacteristic
61C2×#15667982C2211yescharacteristic
62C2×#15667982C2211yescharacteristic
63C2×#15667982C2211yescharacteristic, complemented
64C2×#15667982C2211yescharacteristic, complemented
65C2×#15667982C2211yescharacteristic, complemented
66C2×#15667982C2211yescharacteristic, complemented
67C2×#15667980C2211yescharacteristic
68C2×#15667980C2211yescharacteristic
69C2×C4×D356C2211yescharacteristic
70C2×C4×D356C2211yescharacteristic
71C2×C4×D356C2211yescharacteristic, complemented
72C2×C4×D356C2211yescharacteristic, complemented
73C2×#15667974C2211yescharacteristic, complemented
74C2×C22⋊C4×D89C2211yescharacteristic, complemented
75#19151540C2211yescharacteristic, complemented
76#19151533C2211yescharacteristic, complemented
77#19151532C2211yescharacteristic, complemented
78#19151528C2211yescharacteristic, complemented
79#19151527C2211yescharacteristic, complemented
80#19151527C2211yescharacteristic, complemented
81#19151523C2211yescharacteristic, complemented
82#19151522C2211yescharacteristic, complemented
83#19151521C2211yescharacteristic, complemented
84#19151520C2211yescharacteristic, complemented
85#19151520C2211yescharacteristic, complemented
86#19151518C2211yescharacteristic, complemented
87#19151516C2211yescharacteristic
88#19151516C2211yescharacteristic
89#19151516C2211yescharacteristic
90#19151516C2211yescharacteristic, complemented
91#19151515C2211yescharacteristic
92#19151515C2211yescharacteristic, complemented
93#19151515C2211yescharacteristic, complemented
94#19151515C2211yescharacteristic, complemented
95#19151515C2211yescharacteristic, complemented
96#19151515C2211yescharacteristic, complemented
97#19151515C2211yescharacteristic, complemented
98#19151515C2211yescharacteristic, complemented
99#19151515C2211yescharacteristic, complemented
100#19151515C2211yescharacteristic, complemented
101#19151514C2211yescharacteristic, complemented
102#19151513C2211yescharacteristic
103#19151513C2211yescharacteristic
104#19151513C2211yescharacteristic
105#19151511C2211yescharacteristic, complemented
106#19151510C2211yescharacteristic, complemented
107#19151510C2211yescharacteristic, complemented
108#19151508C2211yescharacteristic
109#19151508C2211yescharacteristic
110#19151508C2211yescharacteristic, complemented
111#19151508C2211yescharacteristic, complemented
112#19151507C2211yescharacteristic
113#19151507C2211yescharacteristic
114#19151507C2211yescharacteristic
115#19151507C2211yescharacteristic
116#19151507C2211yescharacteristic
117#19151507C2211yescharacteristic, complemented
118#19151506C2211yescharacteristic
119#19151504C2211yescharacteristic, complemented
120#19151502C2211yescharacteristic, complemented
121#19151500C2211yescharacteristic, complemented
122#19151499C2211yescharacteristic
123#19151499C2211yescharacteristic
124#19151498C2211yescharacteristic
125#19151498C2211yescharacteristic
126#19151498C2211yescharacteristic, complemented
127#19151498C2211yescharacteristic, complemented
128#19151498C2211yescharacteristic, complemented
129#19151494C2211yescharacteristic, complemented
130#19151494C2211yescharacteristic, complemented
131#19151489C2211yescharacteristic, complemented
132#19151489C2211yescharacteristic, complemented
133#19151489C2211yescharacteristic, complemented
134#19151489C2211yescharacteristic, complemented
135#19151489C2211yescharacteristic, complemented
136#19151489C2211yescharacteristic, complemented
137#19151488C2211yescharacteristic, complemented
138#19151488C2211yescharacteristic, complemented
139#19151488C2211yescharacteristic, complemented
140#19151488C2211yescharacteristic, complemented
141#19151488C2211yescharacteristic, complemented
142#19151485C2211yescharacteristic, complemented
143#19151477C2211yescharacteristic
144#19151477C2211yescharacteristic, complemented
145#19151476C2211yescharacteristic
146#19151476C2211yescharacteristic
147#19151476C2211yescharacteristic, complemented
148#19151476C2211yescharacteristic, complemented
149#19151476C2211yescharacteristic, complemented
150#19151476C2211yescharacteristic, complemented
151#19151476C2211yescharacteristic, complemented
152#19151476C2211yescharacteristic, complemented
153#19151475C2211yescharacteristic
154#19151474C2211yescharacteristic
155#19151474C2211yescharacteristic
156#19151474C2211yescharacteristic
157#19151474C2211yescharacteristic, complemented
158#19151472C2211yescharacteristic, complemented
159#19151470C2211yescharacteristic, complemented
160#19151469C2211yescharacteristic, complemented
161#19151469C2211yescharacteristic, complemented
162#19151469C2211yescharacteristic, complemented
163#19151460C2211yescharacteristic, complemented
164#19151460C2211yescharacteristic, complemented
165#19151460C2211yescharacteristic, complemented
166#19151460C2211yescharacteristic, complemented
167#19151457C2211yescharacteristic, complemented
168#19151457C2211yescharacteristic, complemented
169#19151457C2211yescharacteristic, complemented
170#19151456C2211yescharacteristic, complemented
171#19151453C2211yescharacteristic, complemented
172#19151453C2211yescharacteristic, complemented
173#19151444C2211yescharacteristic, complemented
174C2×#126×C89C2211yescharacteristic, complemented
175C2×#117×C89C2211yescharacteristic, complemented
176#398×C89C2211yescharacteristic, complemented
177#396×C89C2211yescharacteristic, complemented
178#396×C89C2211yescharacteristic, complemented
179#394×C89C2211yescharacteristic
180#390×C89C2211yescharacteristic
181#389×C89C2211yescharacteristic, complemented
182#388×C89C2211yescharacteristic, complemented
183#388×C89C2211yescharacteristic, complemented
184#388×C89C2211yescharacteristic, complemented
185#387×C89C2211yescharacteristic, complemented
186#386×C89C2211yescharacteristic
187#385×C89C2211yescharacteristic, complemented
188C4×C4⋊C4×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C24×D89C2311yescharacteristic
191C2×#13083574—24no—
192C2×#13083574—42no—
193C2×#13083574—42no—
194C22×Dic178C2311yescharacteristic
195C22×Dic178C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×D356C2311yescharacteristic
202C22×D356C2311yescharacteristic
203C22×D356C2311yescharacteristic
204C22×D356C2311yescharacteristic
205C22×D356C2311yescharacteristic
206C22×D356C2311yescharacteristic
207C22×D356C2311yescharacteristic
208C22×D356C2311yescharacteristic
209C22×C22⋊D89C2311yescharacteristic
210C22×C22⋊D89C2311yescharacteristic
211C22×C22⋊D89C2311yescharacteristic
212C22×C22⋊D89C2311yescharacteristic
213C22×C22⋊D89C2311yescharacteristic
214C22×C22⋊D89C2311yescharacteristic
215C22×C22⋊D89C2311yescharacteristic
216C22×C22⋊D89C2311yescharacteristic
217C23×Dic89C2311yescharacteristic
218C22×C4×D89—24no—
219C22×C4×D89—42no—
220C22×C4×D89—42no—
221C22×C4×D89C2311yescharacteristic
222C22×C4×D89C2311yescharacteristic
223C22×C4×D89C2311yescharacteristic
224C22×C4×D89C2311yescharacteristic
225C22×C4×D89C2311yescharacteristic
226C22×C4×D89C2311yescharacteristic
227C22×C4×D89C2311yescharacteristic
228C22×C4×D89C2311yescharacteristic
229#15668009—42no—
230#15668007—24no—
231#15668000—24no—
232#15668000—42no—
233#15667998—24no—
234#15667997—24no—
235#15667997—42no—
236#15667997—42no—
237#15667996—24no—
238#15667996—24no—
239#15667994—24no—
240#15667992—24no—
241#15667992—24no—
242#15667990—24no—
243#15667990—42no—
244#15667987—24no—
245#15667987—24no—
246#15667987—24no—
247#15667987—24no—
248#15667985—24no—
249#15667985—42no—
250#15667985—42no—
251#15667984—42no—
252#15667982—24no—
253#15667982—24no—
254#15667982—24no—
255#15667982—24no—
256#15667982—42no—
257#15667982—42no—
258#15667982—42no—
259#15667982—42no—
260#15667980—42no—
261#15667980—42no—
262C4×D356—24no—
263C4×D356—24no—
264C4×D356—24no—
265C4×D356D418yescomplemented
266#15667974—24no—
267C2×C4⋊Dic89C2311yescharacteristic
268C2×C4⋊Dic89C2311yescharacteristic
269C2×C4⋊Dic89C2311yescharacteristic
270C2×C4⋊Dic89C2311yescharacteristic
271C2×#13083553C2311yescharacteristic
272C2×#13083553C2311yescharacteristic
273C2×#13083553C2311yescharacteristic
274C2×#13083553C2311yescharacteristic
275C2×#13083553C2311yescharacteristic
276C2×#13083553C2311yescharacteristic
277C2×#13083553C2311yescharacteristic
278C2×#13083553C2311yescharacteristic
279C2×#13083553C2311yescharacteristic
280C2×#13083553C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic
314C2×#13083551C2311yescharacteristic
315C2×#13083551C2311yescharacteristic
316C2×#13083551C2311yescharacteristic
317C2×#13083551C2311yescharacteristic
318C2×#13083551C2311yescharacteristic
319C2×#13083551C2311yescharacteristic
320C2×#13083551C2311yescharacteristic
321C2×#13083551C2311yescharacteristic
322C2×#13083551C2311yescharacteristic
323C2×#13083551C2311yescharacteristic
324C2×#13083551C2311yescharacteristic
325C2×#13083551C2311yescharacteristic
326C2×#13083551C2311yescharacteristic
327C2×#13083551C2311yescharacteristic
328C2×#13083551C2311yescharacteristic
329C2×#13083551C2311yescharacteristic
330C22⋊C4×D89—24no—
331C2×C4×Dic89C2311yescharacteristic
332C2×C4×Dic89C2311yescharacteristic
333C2×C4×Dic89C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346#15667919C2311yescharacteristic
347#15667919C2311yescharacteristic
348#15667919C2311yescharacteristic
349#15667919C2311yescharacteristic
350#15667919C2311yescharacteristic
351#15667919C2311yescharacteristic
352#15667919C2311yescharacteristic
353#15667919C2311yescharacteristic
354C22×D4×C89C2311yescharacteristic
355C23×C4×C89C2311yescharacteristic
356#126×C89—24no—
357#117×C89—24no—
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C4⋊C4×C89C2311yescharacteristic
360C2×C4⋊C4×C89C2311yescharacteristic
361C2×C4⋊C4×C89C2311yescharacteristic
362C2×C4⋊C4×C89C2311yescharacteristic
363C2×C4⋊C4×C89C2311yescharacteristic
364C2×C4⋊C4×C89C2311yescharacteristic
365C2×C4⋊C4×C89C2311yescharacteristic
366C2×C4⋊C4×C89C2311yescharacteristic
367C2×C4⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C22⋊C4×C89C2311yescharacteristic
377C2×C22⋊C4×C89C2311yescharacteristic
378C2×C22⋊C4×C89C2311yescharacteristic
379C2×C42×C89C2311yescharacteristic
380C2×C42×C89C2311yescharacteristic
381C2×C42×C89C2311yescharacteristic
382C2×C42×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385#95×C89C2311yescharacteristic
386#95×C89C2311yescharacteristic
387#95×C89C2311yescharacteristic
388#95×C89C2311yescharacteristic
389#95×C89C2311yescharacteristic
390#95×C89C2311yescharacteristic
391C23×D89—22no—
392C23×D89—22no—
393C23×D89—22no—
394C23×D89—22no—
395C23×D89—41no—
396C23×D89—41no—
397C23×D89—41no—
398C23×D89—41no—
399C23×D89—41no—
400C23×D89—41no—
401C23×D89—41no—
402C23×D89—41no—
403C23×D89—41no—
404C23×D89—41no—
405C23×D89C2411yescharacteristic
406C23×D89C2411yescharacteristic
407C23×D89C2411yescharacteristic
408C23×D89C2411yescharacteristic
409C23×D89C2411yescharacteristic
410C23×D89C2411yescharacteristic
411#13083574—416no—
412C2×Dic178—22no—
413C2×Dic178—22no—
414C2×Dic178—22no—
415C2×Dic178—41no—
416C2×Dic178—41no—
417C2×Dic178—41no—
418C2×D356—22no—
419C2×D356—22no—
420C2×D356—22no—
421C2×D356—22no—
422C2×D356—22no—
423C2×D356—22no—
424C2×D356—22no—
425C2×D356—22no—
426C2×D356—22no—
427C2×D356—22no—
428C2×D356—22no—
429C2×D356—22no—
430C2×D356—22no—
431C2×D356—41no—
432C2×D356—41no—
433C2×D356—41no—
434C2×D356—41no—
435C2×D356—41no—
436C2×D356—41no—
437C2×D356—41no—
438C2×D356—41no—
439C2×D356—41no—
440C2×D356—41no—
441C2×D356—41no—
442C2×D356—41no—
443C2×D356—41no—
444C2×D356—41no—
445C2×D356—41no—
446C2×D356—41no—
447C2×D356—41no—
448C2×D356—41no—
449C2×D356—41no—
450C2×D356—41no—
451C2×D356—41no—
452C2×D356—41no—
453C2×D356—41no—
454C2×D356—41no—
455C2×D356—41no—
456C2×D356C2×D414yes—
457C2×C22⋊D89—22no—
458C2×C22⋊D89—22no—
459C2×C22⋊D89—22no—
460C2×C22⋊D89—22no—
461C2×C22⋊D89—22no—
462C2×C22⋊D89—22no—
463C2×C22⋊D89—22no—
464C2×C22⋊D89—22no—
465C2×C22⋊D89—22no—
466C2×C22⋊D89—41no—
467C2×C22⋊D89—41no—
468C2×C22⋊D89—41no—
469C2×C22⋊D89—41no—
470C2×C22⋊D89—41no—
471C2×C22⋊D89—41no—
472C2×C22⋊D89—41no—
473C2×C22⋊D89—41no—
474C2×C22⋊D89—41no—
475C2×C22⋊D89—41no—
476C2×C22⋊D89—41no—
477C2×C22⋊D89—41no—
478C2×C22⋊D89—41no—
479C2×C22⋊D89—41no—
480C2×C22⋊D89—41no—
481C22×Dic89—22no—
482C22×Dic89—22no—
483C22×Dic89—41no—
484C22×Dic89C2411yescharacteristic
485C22×Dic89C2411yescharacteristic
486C22×Dic89C2411yescharacteristic
487C22×Dic89C2411yescharacteristic
488C22×Dic89C2411yescharacteristic
489C22×Dic89C2411yescharacteristic
490C22×Dic89C2411yescharacteristic
491C22×Dic89C2411yescharacteristic
492C22×Dic89C2411yescharacteristic
493C22×Dic89C2411yescharacteristic
494C2×C4×D89—22no—
495C2×C4×D89—22no—
496C2×C4×D89—22no—
497C2×C4×D89—22no—
498C2×C4×D89—22no—
499C2×C4×D89—22no—
500C2×C4×D89—22no—
501C2×C4×D89—22no—
502C2×C4×D89—41no—
503C2×C4×D89—41no—
504C2×C4×D89—41no—
505C2×C4×D89—41no—
506C2×C4×D89—41no—
507C2×C4×D89—41no—
508C2×C4×D89—41no—
509C2×C4×D89—41no—
510C2×C4×D89—41no—
511C2×C4×D89—41no—
512C2×C4×D89—416no—
513C2×C4×D89—41no—
514C2×C4×D89—41no—
515C2×C4×D89—41no—
516C2×C4×D89—41no—
517C2×C4×D89C2×D414yes—
518C2×C4×D89C2×D414yes—
519C4⋊Dic89—22no—
520C4⋊Dic89—22no—
521C4⋊Dic89—22no—
522C4⋊Dic89C2×D414yes—
523#13083553—22no—
524#13083553—22no—
525#13083553—41no—
526#13083553—41no—
527#13083553—41no—
528#13083553—41no—
529#13083553—41no—
530#13083553—41no—
531#13083553—41no—
532#13083553—41no—
533C22⋊Dic89—22no—
534C22⋊Dic89—41no—
535C22⋊Dic89—41no—
536C22⋊Dic89—41no—
537C22⋊Dic89—41no—
538#13083551—22no—
539#13083551—22no—
540#13083551—22no—
541#13083551—22no—
542#13083551—22no—
543#13083551—22no—
544#13083551—22no—
545#13083551—22no—
546#13083551—22no—
547#13083551—22no—
548#13083551—22no—
549#13083551—22no—
550#13083551—22no—
551#13083551—22no—
552#13083551—22no—
553#13083551—22no—
554#13083551—22no—
555#13083551—22no—
556#13083551—22no—
557#13083551—41no—
558#13083551—41no—
559#13083551—41no—
560#13083551—41no—
561#13083551—41no—
562#13083551—41no—
563#13083551—41no—
564#13083551—41no—
565#13083551—41no—
566#13083551—41no—
567#13083551—41no—
568#13083551—41no—
569#13083551—41no—
570#13083551—41no—
571#13083551—41no—
572#13083551—41no—
573#13083551—41no—
574#13083551—41no—
575#13083551—41no—
576#13083551—41no—
577#13083551—41no—
578#13083551—41no—
579#13083551—41no—
580#13083551C2×D414yes—
581#13083551C2×D414yes—
582C4×Dic89—22no—
583C4×Dic89—41no—
584C4×Dic89—41no—
585C24×C89C2411yescharacteristic
586C24×C89C2411yescharacteristic
587C2×D4×C89—22no—
588C2×D4×C89—41no—
589C2×D4×C89—41no—
590C22×C4×C89—22no—
591C22×C4×C89—22no—
592C22×C4×C89—22no—
593C22×C4×C89C2411yescharacteristic
594C22×C4×C89C2411yescharacteristic
595C22×C4×C89C2411yescharacteristic
596C22×C4×C89C2411yescharacteristic
597C22×C4×C89C2411yescharacteristic
598C22×C4×C89C2411yescharacteristic
599C22×C4×C89C2411yescharacteristic
600C22×C4×C89C2411yescharacteristic
601C22×C4×C89C2411yescharacteristic
602C22×C4×C89C2411yescharacteristic
603C22×C4×C89C2411yescharacteristic
604C22×C4×C89C2411yescharacteristic
605C22×C4×C89C2411yescharacteristic
606C4⋊C4×C89—22no—
607C4⋊C4×C89—22no—
608C4⋊C4×C89—22no—
609C4⋊C4×C89—22no—
610C4⋊C4×C89—22no—
611C4⋊C4×C89—22no—
612C4⋊C4×C89—41no—
613C4⋊C4×C89—41no—
614C4⋊C4×C89—41no—
615C4⋊C4×C89—41no—
616C22⋊C4×C89—22no—
617C22⋊C4×C89—22no—
618C22⋊C4×C89—22no—
619C22⋊C4×C89—22no—
620C22⋊C4×C89—22no—
621C22⋊C4×C89—22no—
622C22⋊C4×C89—22no—
623C22⋊C4×C89—41no—
624C22⋊C4×C89—41no—
625C22⋊C4×C89—41no—
626C22⋊C4×C89—41no—
627C42×C89—22no—
628C42×C89—41no—
629C42×C89—41no—
630C42×C89C2×D414yes—
631C23×C89—21no—
632C23×C89—21no—
633C23×C89—21no—
634C23×C89—21no—
635C23×C89—21no—
636C23×C89—21no—
637C23×C89—21no—
638C23×C89—21no—
639C23×C89—21no—
640C23×C89—21no—
641C23×C89—21no—
642C23×C89—21no—
643C23×C89—21no—
644C23×C89H(5,𝔽2)12yes—
645C23×C89C2511yescharacteristic
646C22×D89—21no—
647C22×D89—21no—
648C22×D89—21no—
649C22×D89—21no—
650C22×D89—21no—
651C22×D89—21no—
652C22×D89—21no—
653C22×D89—21no—
654C22×D89—21no—
655C22×D89—21no—
656C22×D89—21no—
657C22×D89—21no—
658C22×D89—21no—
659C22×D89—21no—
660C22×D89—21no—
661C22×D89—21no—
662C22×D89—21no—
663C22×D89—21no—
664C22×D89—21no—
665C22×D89—21no—
666C22×D89—21no—
667C22×D89—21no—
668C22×D89—21no—
669C22×D89—21no—
670C22×D89—21no—
671C22×D89—21no—
672C22×D89—21no—
673C22×D89—21no—
674C22×D89—21no—
675C22×D89—21no—
676C22×D89—21no—
677C22×D89—21no—
678C22×D89—21no—
679C22×D89—21no—
680C22×D89—21no—
681C22×D89—21no—
682C22×D89—21no—
683C22×D89—21no—
684C22×D89—21no—
685C22×D89—44no—
686C22×D89—44no—
687C22×D89—44no—
688C22×D89—44no—
689C22×D89—44no—
690C22×D89—44no—
691C22×D89—44no—
692C22×D89—44no—
693C22×D89—82no—
694C22×D89—82no—
695C22×D89—82no—
696C22×D89—82no—
697C22×D89—82no—
698C22×D89—82no—
699C22×D89C22×D412yes—
700C22×D89C22×D412yes—
701C22×D89H(5,𝔽2)12yes—
702D4×C89—82no—
703C2×C4×C89—28no—
704C2×C4×C89—21no—
705C2×C4×C89—21no—
706C2×C4×C89—21no—
707C2×C4×C89—21no—
708C2×C4×C89—21no—
709C2×C4×C89—21no—
710C2×C4×C89—21no—
711C2×C4×C89—21no—
712C2×C4×C89—21no—
713C2×C4×C89—21no—
714C2×C4×C89—21no—
715C2×C4×C89—21no—
716C2×C4×C89—21no—
717C2×C4×C89—21no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—21no—
737C2×C4×C89—21no—
738C2×C4×C89—21no—
739C2×C4×C89C22×D412yes—
740C2×C4×C89C22×D412yes—
741C2×C4×C89C22×D412yes—
742C2×C4×C89H(5,𝔽2)12yes—
743C22⋊D89—44no—
744C22⋊D89—44no—
745C22⋊D89—82no—
746C22⋊D89—82no—
747C22⋊D89—82no—
748C22⋊D89—82no—
749C22⋊D89—82no—
750C22⋊D89—82no—
751C2×Dic89—21no—
752C2×Dic89—21no—
753C2×Dic89—21no—
754C2×Dic89—21no—
755C2×Dic89—21no—
756C2×Dic89—21no—
757C2×Dic89—21no—
758C2×Dic89—21no—
759C2×Dic89—21no—
760C2×Dic89—21no—
761C2×Dic89—21no—
762C2×Dic89—21no—
763C2×Dic89—21no—
764C2×Dic89—21no—
765C2×Dic89—21no—
766C2×Dic89—21no—
767C2×Dic89—21no—
768C2×Dic89—21no—
769C2×Dic89—21no—
770C2×Dic89—21no—
771C2×Dic89—21no—
772C2×Dic89—21no—
773C2×Dic89—21no—
774C2×Dic89—21no—
775C2×Dic89—21no—
776C2×Dic89—21no—
777C2×Dic89—21no—
778C2×Dic89—21no—
779C2×Dic89—44no—
780C2×Dic89C22×D412yes—
781C2×Dic89C22×D412yes—
782D356—44no—
783D356—44no—
784D356—44no—
785D356—44no—
786D356—44no—
787D356—44no—
788D356—82no—
789D356—82no—
790D356—82no—
791D356—82no—
792D356—82no—
793D356—82no—
794D356—82no—
795C4×D89—44no—
796C4×D89—44no—
797C4×D89—44no—
798C4×D89—44no—
799C4×D89—44no—
800C4×D89—44no—
801C4×D89—82no—
802C4×D89—82no—
803Dic178—44no—
804Dic178—82no—
805C22×C89—22no—
806C22×C89—22no—
807C22×C89—22no—
808C22×C89—41no—
809C22×C89—41no—
810C22×C89—41no—
811C22×C89—41no—
812C22×C89—41no—
813C22×C89—41no—
814C22×C89—41no—
815C22×C89—41no—
816C22×C89—41no—
817C22×C89—41no—
818C22×C89—41no—
819C22×C89C23×D411yescharacteristic
820C22×C89C2×H(5,𝔽2)11yescharacteristic
821C22×C89C2×H(5,𝔽2)11yescharacteristic
822C22×C89C2×H(5,𝔽2)11yescharacteristic
823C22×C89#58511yescharacteristic
824C22×C89#58511yescharacteristic
825C22×C89#58511yescharacteristic
826C2×D89—22no—
827C2×D89—22no—
828C2×D89—22no—
829C2×D89—22no—
830C2×D89—22no—
831C2×D89—22no—
832C2×D89—22no—
833C2×D89—22no—
834C2×D89—22no—
835C2×D89—416no—
836C2×D89—41no—
837C2×D89—41no—
838C2×D89—41no—
839C2×D89—41no—
840C2×D89—41no—
841C2×D89—41no—
842C2×D89—41no—
843C2×D89—41no—
844C2×D89—41no—
845C2×D89—41no—
846C2×D89—41no—
847C2×D89—41no—
848C2×D89—41no—
849C2×D89—41no—
850C2×D89—41no—
851C2×D89—41no—
852C2×D89—41no—
853C2×D89—41no—
854C2×D89—41no—
855C2×D89—41no—
856C2×D89—41no—
857C2×D89—41no—
858C2×D89—41no—
859C2×D89—41no—
860C2×D89—41no—
861C2×D89—41no—
862C2×D89—41no—
863C2×D89—41no—
864C2×D89—41no—
865C2×D89—41no—
866C2×D89—41no—
867C2×D89—41no—
868C2×D89—41no—
869C2×D89—88no—
870C4×C89—22no—
871C4×C89—22no—
872C4×C89—22no—
873C4×C89—22no—
874C4×C89—41no—
875C4×C89—41no—
876C4×C89—41no—
877C4×C89—41no—
878C4×C89—41no—
879C4×C89—41no—
880C4×C89—41no—
881C4×C89—41no—
882C4×C89—41no—
883Dic89—22no—
884Dic89—22no—
885Dic89—41no—
886Dic89—41no—
887Dic89—41no—
888Dic89—41no—
889Dic89—41no—
890Dic89—41no—
891Dic89—41no—
892Dic89—41no—
893#36724—891nomaximal, Sylow
894C2×C89—42no—
895C2×C89—81no—
896C2×C89#344911yescharacteristic
897C2×C89#348411yescharacteristic
898C2×C89#348811yescharacteristic
899C2×C89#353311yescharacteristic
900C2×C89#353411yescharacteristic
901C2×C89#354011yescharacteristic
902C2×C89#354211yescharacteristic
903D89—42no—
904D89—42no—
905D89—42no—
906D89—81no—
907D89—81no—
908D89—81no—
909C2×#538—891no—
910C2×#525—891no—
911#2849—891no—
912#2847—891no—
913#2705—891no—
914#2702—891no—
915#2700—891no—
916#2699—891no—
917#2687—891no—
918#2682—891no—
919#2681—891no—
920#2681—891no—
921#2679—891no—
922#2678—891no—
923#2678—891no—
924#2678—891no—
925#2672—891no—
926#2670—891no—
927#2669—891no—
928#2669—891no—
929#2635—891no—
930#2630—891no—
931#2610—891no—
932#2603—891no—
933#2601D8911yescharacteristic, complemented
934#2600—891no—
935#2544—891no—
936#2534—891no—
937#2407—891no—
938#2404—891no—
939#2319—891no—
940C89#3672411yescharacteristic, complemented, Sylow
941C22×#41—891no—
942C24×C4—891no—
943#538—1788no—
944C2×#127—891no—
945C2×#126—891no—
946C2×#126C2×D8911yescharacteristic, complemented
947C2×#124—891no—
948C2×#124—891no—
949C2×#124—891no—
950#525—1788no—
951C2×#123—891no—
952C2×#123—891no—
953C2×#123—891no—
954C2×#123—891no—
955C2×#123—891no—
956C2×#123—891no—
957C2×C22⋊Q8—891no—
958C2×C22⋊Q8—891no—
959C2×C22⋊Q8—891no—
960C2×C22⋊Q8—891no—
961C2×#121—891no—
962C2×#121—891no—
963C2×#121—891no—
964C2×#121—891no—
965C2×#121—891no—
966C2×#121—891no—
967C2×#121—891no—
968C2×#121—891no—
969C2×#120—891no—
970C2×#120—891no—
971C2×#120—891no—
972C2×#120—891no—
973C2×#120—891no—
974C2×#120—891no—
975C2×#120—891no—
976C2×#120—891no—
977C2×#120—891no—
978C2×#120—891no—
979C2×C4×D4—891no—
980C2×C4×D4—891no—
981C2×C4×D4—891no—
982C2×C4×D4—891no—
983C2×C4×D4—891no—
984C2×#117C2×D8911yescharacteristic, complemented
985C22×C22⋊C4—891no—
986#400—891no—
987#399—891no—
988#398—891no—
989#398—891no—
990#398C2×D8911yescharacteristic, complemented
991#397—891no—
992#397—891no—
993#397—891no—
994#396—891no—
995#396—891no—
996#396—891no—
997#396—891no—
998#396C2×D8911yescharacteristic, complemented
999#396C2×D8911yescharacteristic, complemented
1000#395—891no—
1001#394—891no—
1002#394—891no—
1003#394—891no—
1004#394—891no—
1005#394—891no—
1006#394—891no—
1007#394—891no—
1008#394—891no—
1009#394—891no—
1010#394—891no—
1011#394—891no—
1012#394—891no—
1013#394—891no—
1014#394—891no—
1015#394—891no—
1016#394—891no—
1017#394—891no—
1018#394—891no—
1019#394C2×D8911yescharacteristic
1020#393—891no—
1021#393—891no—
1022#393—891no—
1023#392—891no—
1024#392—891no—
1025#392—891no—
1026#392—891no—
1027#392—891no—
1028#392—891no—
1029#392—891no—
1030#392—891no—
1031#392—891no—
1032#392—891no—
1033#392—891no—
1034#391—891no—
1035#391—891no—
1036#390—891no—
1037#390—891no—
1038#390—891no—
1039#390—891no—
1040#390—891no—
1041#390—891no—
1042#390—891no—
1043#390—891no—
1044#390C2×D8911yescharacteristic
1045#389—891no—
1046#389—891no—
1047#389C2×D8911yescharacteristic, complemented
1048#388—891no—
1049#388—891no—
1050#388—891no—
1051#388—891no—
1052#388—891no—
1053#388—891no—
1054#388—891no—
1055#388—891no—
1056#388—891no—
1057#388—891no—
1058#388—891no—
1059#388C2×D8911yescharacteristic, complemented
1060#388C2×D8911yescharacteristic, complemented
1061#388C2×D8911yescharacteristic, complemented
1062#387—891no—
1063#387C2×D8911yescharacteristic, complemented
1064#386—891no—
1065#386—891no—
1066#386—891no—
1067#386—891no—
1068#386—891no—
1069#386—891no—
1070#386—891no—
1071#386—891no—
1072#386—891no—
1073#386—891no—
1074#386—891no—
1075#386—891no—
1076#386—891no—
1077#386—891no—
1078#386—891no—
1079#386C2×D8911yescharacteristic
1080#385—891no—
1081#385—891no—
1082#385—891no—
1083#385—891no—
1084#385—891no—
1085#385C2×D8911yescharacteristic, complemented
1086#381—891no—
1087#381—891no—
1088#381—891no—
1089#381—891no—
1090#380—891no—
1091#380—891no—
1092#380—891no—
1093#380—891no—
1094#379—891no—
1095#379—891no—
1096C4×C4⋊C4C2×D8911yescharacteristic, complemented
1097#376—891no—
1098C25—891no—
1099C25—891no—
1100C2×#41—3562no—
1101C2×#41—3562no—
1102C2×#41—1784no—
1103C22×Q8—891no—
1104C22×Q8—891no—
1105C22×D4—891no—
1106C22×D4—891no—
1107C22×D4—891no—
1108C22×D4—891no—
1109C22×D4—891no—
1110C22×D4—891no—
1111C22×D4—891no—
1112C22×D4—891no—
1113C22×D4—891no—
1114C22×D4—891no—
1115C22×D4—891no—
1116C22×D4—891no—
1117C22×D4—891no—
1118C22×D4—891no—
1119C22×D4—891no—
1120C22×D4—891no—
1121C22×D4—891no—
1122C22×D4—891no—
1123C22×D4—891no—
1124C22×D4—891no—
1125C22×D4—891no—
1126C22×D4C22×D8911yescharacteristic
1127C23×C4—891no—
1128C23×C4—891no—
1129C23×C4—891no—
1130C23×C4—891no—
1131C23×C4—891no—
1132C23×C4—891no—
1133C23×C4—891no—
1134C23×C4—891no—
1135C23×C4—891no—
1136C23×C4—3562no—
1137C23×C4—3562no—
1138C23×C4—1784no—
1139C23×C4C22×D8911yescharacteristic
1140#127—3562no—
1141#126—24no—
1142#126—1784no—
1143#124—3562no—
1144#124—1784no—
1145#124—1784no—
1146#123—3562no—
1147#123—3562no—
1148#123—1784no—
1149#123—1784no—
1150#123—1784no—
1151#123—1784no—
1152C22⋊Q8—3562no—
1153C22⋊Q8—1784no—
1154C22⋊Q8—1784no—
1155C22⋊Q8—1784no—
1156#121—3562no—
1157#121—3562no—
1158#121—3562no—
1159#121—1784no—
1160#121—1784no—
1161#121—1784no—
1162#121—1784no—
1163#121—1784no—
1164#120—3562no—
1165#120—3562no—
1166#120—3562no—
1167#120—3562no—
1168#120—3562no—
1169#120—3562no—
1170#120—1784no—
1171#120—1784no—
1172#120—1784no—
1173#120—1784no—
1174C4×D4—898no—
1175C4×D4—1784no—
1176C4×D4—1784no—
1177C4×D4—1784no—
1178C4×D4—1784no—
1179#117—24no—
1180C2×C4⋊C4—891no—
1181C2×C4⋊C4—891no—
1182C2×C4⋊C4—891no—
1183C2×C4⋊C4—891no—
1184C2×C4⋊C4—891no—
1185C2×C4⋊C4—891no—
1186C2×C4⋊C4—891no—
1187C2×C4⋊C4—891no—
1188C2×C4⋊C4—891no—
1189C2×C4⋊C4—891no—
1190C2×C4⋊C4—891no—
1191C2×C4⋊C4—891no—
1192C2×C4⋊C4—891no—
1193C2×C4⋊C4—891no—
1194C2×C4⋊C4C22×D8911yescharacteristic
1195C2×C4⋊C4C22×D8911yescharacteristic
1196C2×C4⋊C4C22×D8911yescharacteristic
1197C2×C4⋊C4C22×D8911yescharacteristic
1198C2×C4⋊C4C22×D8911yescharacteristic
1199C2×C4⋊C4C22×D8911yescharacteristic
1200C2×C4⋊C4C22×D8911yescharacteristic
1201C2×C4⋊C4C22×D8911yescharacteristic
1202C2×C4⋊C4C22×D8911yescharacteristic
1203C2×C4⋊C4C22×D8911yescharacteristic
1204C2×C22⋊C4—891no—
1205C2×C22⋊C4—891no—
1206C2×C22⋊C4—891no—
1207C2×C22⋊C4—891no—
1208C2×C22⋊C4—891no—
1209C2×C22⋊C4—891no—
1210C2×C22⋊C4—891no—
1211C2×C22⋊C4—891no—
1212C2×C22⋊C4—891no—
1213C2×C22⋊C4—891no—
1214C2×C22⋊C4—891no—
1215C2×C22⋊C4—891no—
1216C2×C22⋊C4—891no—
1217C2×C22⋊C4—891no—
1218C2×C22⋊C4—891no—
1219C2×C22⋊C4—891no—
1220C2×C22⋊C4—891no—
1221C2×C22⋊C4—891no—
1222C2×C22⋊C4—891no—
1223C2×C22⋊C4—891no—
1224C2×C22⋊C4—891no—
1225C2×C22⋊C4—891no—
1226C2×C22⋊C4—891no—
1227C2×C22⋊C4—891no—
1228C2×C22⋊C4—891no—
1229C2×C22⋊C4—891no—
1230C2×C22⋊C4—891no—
1231C2×C22⋊C4—891no—
1232C2×C22⋊C4—891no—
1233C2×C22⋊C4—891no—
1234C2×C22⋊C4—891no—
1235C2×C22⋊C4—891no—
1236C2×C22⋊C4—891no—
1237C2×C22⋊C4—891no—
1238C2×C22⋊C4—891no—
1239C2×C22⋊C4—891no—
1240C2×C22⋊C4—891no—
1241C2×C22⋊C4—891no—
1242C2×C22⋊C4—891no—
1243C2×C22⋊C4—891no—
1244C2×C22⋊C4—891no—
1245C2×C22⋊C4—891no—
1246C2×C22⋊C4—891no—
1247C2×C22⋊C4—891no—
1248C2×C22⋊C4—891no—
1249C2×C22⋊C4—891no—
1250C2×C22⋊C4—891no—
1251C2×C22⋊C4—891no—
1252C2×C22⋊C4—891no—
1253C2×C22⋊C4—1784no—
1254C2×C22⋊C4C22×D8911yescharacteristic
1255C2×C22⋊C4C22×D8911yescharacteristic
1256C2×C22⋊C4C22×D8911yescharacteristic
1257C2×C22⋊C4C22×D8911yescharacteristic
1258C2×C22⋊C4C22×D8911yescharacteristic
1259C2×C22⋊C4C22×D8911yescharacteristic
1260C2×C22⋊C4C22×D8911yescharacteristic
1261C2×C22⋊C4C22×D8911yescharacteristic
1262C2×C22⋊C4C22×D8911yescharacteristic
1263C2×C22⋊C4C22×D8911yescharacteristic
1264C2×C22⋊C4C22×D8911yescharacteristic
1265C2×C42—891no—
1266C2×C42—891no—
1267C2×C42—891no—
1268C2×C42C22×D8911yescharacteristic
1269C2×C42C22×D8911yescharacteristic
1270C2×C42C22×D8911yescharacteristic
1271C2×C42C22×D8911yescharacteristic
1272#95—891no—
1273#95—891no—
1274#95—891no—
1275#95—891no—
1276#95—891no—
1277#95—891no—
1278#95—891no—
1279#95—891no—
1280#95—891no—
1281#95—891no—
1282#95—891no—
1283#95—891no—
1284#95—891no—
1285#95—891no—
1286#95—891no—
1287#95—891no—
1288#95—891no—
1289#95—891no—
1290#95—891no—
1291#95—891no—
1292#95C22×D8911yescharacteristic
1293#95C22×D8911yescharacteristic
1294#95C22×D8911yescharacteristic
1295#95C22×D8911yescharacteristic
1296#95C22×D8911yescharacteristic
1297#95C22×D8911yescharacteristic
1298#95C22×D8911yescharacteristic
1299#95C22×D8911yescharacteristic
1300C24—891no—
1301C24—891no—
1302C24—891no—
1303C24—891no—
1304C24—891no—
1305C24—891no—
1306C24—3561no—
1307C24—3561no—
1308C24—3561no—
1309C24—3561no—
1310C24—3561no—
1311C24—3561no—
1312C24—3561no—
1313C24—3561no—
1314C24—3561no—
1315C24—3561no—
1316C24—1782no—
1317C24—1782no—
1318C24—1782no—
1319C24—1782no—
1320C24C23×D8911yescharacteristic
1321C24C23×D8911yescharacteristic
1322#41—35616no—
1323C2×Q8—3561no—
1324C2×Q8—3561no—
1325C2×Q8—3561no—
1326C2×Q8—1782no—
1327C2×Q8—1782no—
1328C2×Q8—1782no—
1329C2×D4—22no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—894no—
1333C2×D4—3561no—
1334C2×D4—3561no—
1335C2×D4—3561no—
1336C2×D4—3561no—
1337C2×D4—3561no—
1338C2×D4—3561no—
1339C2×D4—3561no—
1340C2×D4—3561no—
1341C2×D4—3561no—
1342C2×D4—3561no—
1343C2×D4—3561no—
1344C2×D4—3561no—
1345C2×D4—3561no—
1346C2×D4—3561no—
1347C2×D4—3561no—
1348C2×D4—3561no—
1349C2×D4—3561no—
1350C2×D4—3561no—
1351C2×D4—3561no—
1352C2×D4—3561no—
1353C2×D4—3561no—
1354C2×D4—3561no—
1355C2×D4—3561no—
1356C2×D4—3561no—
1357C2×D4—3561no—
1358C2×D4—3561no—
1359C2×D4—3561no—
1360C2×D4—3561no—
1361C2×D4—3561no—
1362C2×D4—3561no—
1363C2×D4—3561no—
1364C2×D4—3561no—
1365C2×D4—3561no—
1366C2×D4—3561no—
1367C2×D4—3561no—
1368C2×D4—3561no—
1369C2×D4—3561no—
1370C2×D4—3561no—
1371C2×D4—3561no—
1372C2×D4—3561no—
1373C2×D4—1782no—
1374C2×D4—1782no—
1375C2×D4—1782no—
1376C2×D4—1782no—
1377C2×D4—1782no—
1378C2×D4—1782no—
1379C2×D4—1782no—
1380C2×D4—1782no—
1381C2×D4—1782no—
1382C2×D4—1782no—
1383C2×D4—1782no—
1384C2×D4—1782no—
1385C2×D4—1782no—
1386C2×D4—1782no—
1387C2×D4—1782no—
1388C2×D4—1782no—
1389C2×D4—1782no—
1390C2×D4—1782no—
1391C2×D4—1782no—
1392C2×D4—1782no—
1393C2×D4—1782no—
1394C2×D4—1782no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—891no—
1399C22×C4—891no—
1400C22×C4—894no—
1401C22×C4—894no—
1402C22×C4—891no—
1403C22×C4—891no—
1404C22×C4—891no—
1405C22×C4—891no—
1406C22×C4—891no—
1407C22×C4—891no—
1408C22×C4—891no—
1409C22×C4—891no—
1410C22×C4—35616no—
1411C22×C4—3561no—
1412C22×C4—3561no—
1413C22×C4—3561no—
1414C22×C4—3561no—
1415C22×C4—3561no—
1416C22×C4—3561no—
1417C22×C4—3561no—
1418C22×C4—3561no—
1419C22×C4—3561no—
1420C22×C4—3561no—
1421C22×C4—3561no—
1422C22×C4—3561no—
1423C22×C4—3561no—
1424C22×C4—3561no—
1425C22×C4—3561no—
1426C22×C4—1782no—
1427C22×C4—1782no—
1428C22×C4—1782no—
1429C22×C4—1782no—
1430C22×C4—1782no—
1431C22×C4—1782no—
1432C22×C4—1782no—
1433C22×C4—1782no—
1434C22×C4—1782no—
1435C22×C4—1782no—
1436C22×C4C23×D8911yescharacteristic
1437C22×C4C23×D8911yescharacteristic
1438C22×C4C23×D8911yescharacteristic
1439C22×C4C23×D8911yescharacteristic
1440C22×C4C23×D8911yescharacteristic
1441C22×C4C23×D8911yescharacteristic
1442C22×C4C23×D8911yescharacteristic
1443C22×C4C23×D8911yescharacteristic
1444C22×C4C23×D8911yescharacteristic
1445C22×C4C23×D8911yescharacteristic
1446C22×C4C23×D8911yescharacteristic
1447C22×C4C23×D8911yescharacteristic
1448C22×C4C23×D8911yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—894no—
1460C4⋊C4—3561no—
1461C4⋊C4—3561no—
1462C4⋊C4—3561no—
1463C4⋊C4—3561no—
1464C4⋊C4—3561no—
1465C4⋊C4—3561no—
1466C4⋊C4—3561no—
1467C4⋊C4—3561no—
1468C4⋊C4—1782no—
1469C4⋊C4—1782no—
1470C4⋊C4—1782no—
1471C4⋊C4—1782no—
1472C4⋊C4—1782no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—894no—
1485C22⋊C4—894no—
1486C22⋊C4—3561no—
1487C22⋊C4—3561no—
1488C22⋊C4—3561no—
1489C22⋊C4—3561no—
1490C22⋊C4—3561no—
1491C22⋊C4—3561no—
1492C22⋊C4—3561no—
1493C22⋊C4—3561no—
1494C22⋊C4—3561no—
1495C22⋊C4—3561no—
1496C22⋊C4—3561no—
1497C22⋊C4—3561no—
1498C22⋊C4—3561no—
1499C22⋊C4—3561no—
1500C22⋊C4—3561no—
1501C22⋊C4—3561no—
1502C22⋊C4—3561no—
1503C22⋊C4—3561no—
1504C22⋊C4—3561no—
1505C22⋊C4—3561no—
1506C22⋊C4—3561no—
1507C22⋊C4—3561no—
1508C22⋊C4—3561no—
1509C22⋊C4—3561no—
1510C22⋊C4—3561no—
1511C22⋊C4—3561no—
1512C22⋊C4—3561no—
1513C22⋊C4—1782no—
1514C22⋊C4—1782no—
1515C22⋊C4—1782no—
1516C22⋊C4—1782no—
1517C22⋊C4—1782no—
1518C22⋊C4—1782no—
1519C22⋊C4—1782no—
1520C22⋊C4—1782no—
1521C22⋊C4—1782no—
1522C22⋊C4—1782no—
1523C22⋊C4—1782no—
1524C22⋊C4—1782no—
1525C22⋊C4—1782no—
1526C22⋊C4—1782no—
1527C22⋊C4—1782no—
1528C22⋊C4—1782no—
1529C22⋊C4—1782no—
1530C22⋊C4—1782no—
1531C22⋊C4—1782no—
1532C22⋊C4—1782no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42—3561no—
1537C42—3561no—
1538C42—1782no—
1539C42D4×D8914yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—892no—
1554C23—892no—
1555C23—892no—
1556C23—3564no—
1557C23—3564no—
1558C23—3564no—
1559C23—3564no—
1560C23—3564no—
1561C23—3564no—
1562C23—3564no—
1563C23—3564no—
1564C23—1781no—
1565C23—1781no—
1566C23—1781no—
1567C23—1781no—
1568C23—1781no—
1569C23—1781no—
1570C23—1781no—
1571C23—1781no—
1572C23—1781no—
1573C23—1781no—
1574C23—1781no—
1575C23—1781no—
1576C23—1781no—
1577C23—1781no—
1578C23—1781no—
1579C23—1781no—
1580C23—1781no—
1581C23—1781no—
1582C23—1781no—
1583C23—1781no—
1584C23—1781no—
1585C23—1781no—
1586C23—1781no—
1587C23—1781no—
1588C23—1781no—
1589C23—1781no—
1590C23—1781no—
1591C23—1781no—
1592C23—1781no—
1593C23—1781no—
1594C23—1781no—
1595C23—1781no—
1596C23—1781no—
1597C23—1781no—
1598C23—1781no—
1599C23—1781no—
1600C23—1781no—
1601C23—1781no—
1602C23—1781no—
1603C23—7122no—
1604C23—7122no—
1605C23—7122no—
1606C23—7122no—
1607C23—7122no—
1608C23—7122no—
1609C23#1566805812yes—
1610C23C24×D8911yescharacteristic
1611Q8—3564no—
1612Q8—7122no—
1613D4—82no—
1614D4—3564no—
1615D4—3564no—
1616D4—3564no—
1617D4—3564no—
1618D4—3564no—
1619D4—3564no—
1620D4—3564no—
1621D4—3564no—
1622D4—7122no—
1623D4—7122no—
1624D4—7122no—
1625D4—7122no—
1626D4—7122no—
1627D4—7122no—
1628D4—7122no—
1629D4—7122no—
1630D4—7122no—
1631D4—7122no—
1632D4—7122no—
1633D4—7122no—
1634D4—7122no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—892no—
1672C2×C4—892no—
1673C2×C4—3564no—
1674C2×C4—3564no—
1675C2×C4—3564no—
1676C2×C4—3564no—
1677C2×C4—3564no—
1678C2×C4—3564no—
1679C2×C4—3564no—
1680C2×C4—1781no—
1681C2×C4—1781no—
1682C2×C4—1781no—
1683C2×C4—1781no—
1684C2×C4—1781no—
1685C2×C4—1781no—
1686C2×C4—1781no—
1687C2×C4—1781no—
1688C2×C4—1781no—
1689C2×C4—1781no—
1690C2×C4—1781no—
1691C2×C4—1781no—
1692C2×C4—1781no—
1693C2×C4—1781no—
1694C2×C4—1781no—
1695C2×C4—1781no—
1696C2×C4—1781no—
1697C2×C4—1781no—
1698C2×C4—1781no—
1699C2×C4—1781no—
1700C2×C4—1781no—
1701C2×C4—1781no—
1702C2×C4—1781no—
1703C2×C4—1781no—
1704C2×C4—1781no—
1705C2×C4—1781no—
1706C2×C4—1781no—
1707C2×C4—1781no—
1708C2×C4—7122no—
1709C2×C4—7122no—
1710C2×C4C2×D4×D8912yes—
1711C2×C4C2×D4×D8912yes—
1712C2×C4C2×D4×D8912yes—
1713C2×C4#1566805812yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—35616no—
1729C22—3561no—
1730C22—3561no—
1731C22—3561no—
1732C22—3561no—
1733C22—3561no—
1734C22—3561no—
1735C22—3561no—
1736C22—3561no—
1737C22—3561no—
1738C22—3561no—
1739C22—3561no—
1740C22—3561no—
1741C22—3561no—
1742C22—3561no—
1743C22—3561no—
1744C22—3561no—
1745C22—3561no—
1746C22—3561no—
1747C22—3561no—
1748C22—3561no—
1749C22—3561no—
1750C22—3561no—
1751C22—3561no—
1752C22—3561no—
1753C22—3561no—
1754C22—3561no—
1755C22—3561no—
1756C22—3561no—
1757C22—3561no—
1758C22—3561no—
1759C22—3561no—
1760C22—3561no—
1761C22—3561no—
1762C22—1782no—
1763C22—1782no—
1764C22—1782no—
1765C22—1782no—
1766C22—1782no—
1767C22—1782no—
1768C22—1782no—
1769C22—1782no—
1770C22—1782no—
1771C22—7128no—
1772C22C22×D4×D8911yescharacteristic
1773C22H(5,𝔽2)×D8911yescharacteristic
1774C22C2×#1566805811yescharacteristic
1775C22C2×#1566805811yescharacteristic
1776C22#1915243411yescharacteristic
1777C22#1915243411yescharacteristic
1778C22#1915243511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—3561no—
1793C4—3561no—
1794C4—3561no—
1795C4—3561no—
1796C4—3561no—
1797C4—3561no—
1798C4—3561no—
1799C4—3561no—
1800C4—1782no—
1801C4—1782no—
1802C2—42no—
1803C2—81no—
1804C2—3562no—
1805C2—3562no—
1806C2—3562no—
1807C2—7121no—
1808C2—7121no—
1809C2—7121no—
1810C2#2603357911yescharacteristic
1811C2#2603388511yescharacteristic
1812C2#2603391611yescharacteristic
1813C2#2603441811yescharacteristic
1814C2#2603444511yescharacteristic
1815C2#2603452811yescharacteristic
1816C2#2603457111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2601C2
hypercenter#2601D89
hypocenterC89#36724
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#19152187C2semidirect
2. C2×#19152110C2semidirect
3. #26028547C2semidirect
4. #26028533C2semidirect
5. #26026924C2semidirect
6. #26026879C2semidirect
7. #26026845C2semidirect
8. #26026838C2semidirect
9. #26026670C2semidirect
10. #26026620C2semidirect
11. #26026609C2semidirect
12. #26026599C2semidirect
13. #26026585C2semidirect
14. #26026582C2semidirect
15. #26026582C2semidirect
16. #26026572C2semidirect
17. #26026500C2semidirect
18. #26026475C2semidirect
19. #26026467C2semidirect
20. #26026467C2semidirect
21. #26026143C2semidirect
22. #26026101C2semidirect
23. #26025939C2semidirect
24. #26025881C2semidirect
25. #26025841C2semidirect
26. #26025223C2semidirect
27. #26025146C2semidirect
28. #26023596C2semidirect
29. #26023569C2semidirect
30. #26022890C2semidirect
31. C89×#2601C2semidirect
33. C23×C4×D89C22semidirect
36. C2×#15668007C22semidirect
37. C2×#15668000C22semidirect
38. C2×#15668000C22semidirect
45. C2×#15667996C22semidirect
46. C2×#15667994C22semidirect
47. C2×#15667992C22semidirect
48. C2×#15667992C22semidirect
49. C2×#15667990C22semidirect
50. C2×#15667990C22semidirect
57. C2×#15667985C22semidirect
63. C2×#15667982C22semidirect
64. C2×#15667982C22semidirect
65. C2×#15667982C22semidirect
66. C2×#15667982C22semidirect
71. C2×C4×D356C22semidirect
72. C2×C4×D356C22semidirect
73. C2×#15667974C22semidirect
74. C2×C22⋊C4×D89C22semidirect
75. #19151540C22semidirect
76. #19151533C22semidirect
77. #19151532C22semidirect
78. #19151528C22semidirect
79. #19151527C22semidirect
80. #19151527C22semidirect
81. #19151523C22semidirect
82. #19151522C22semidirect
83. #19151521C22semidirect
84. #19151520C22semidirect
85. #19151520C22semidirect
86. #19151518C22semidirect
90. #19151516C22semidirect
92. #19151515C22semidirect
93. #19151515C22semidirect
94. #19151515C22semidirect
95. #19151515C22semidirect
96. #19151515C22semidirect
97. #19151515C22semidirect
98. #19151515C22semidirect
99. #19151515C22semidirect
100. #19151515C22semidirect
101. #19151514C22semidirect
105. #19151511C22semidirect
106. #19151510C22semidirect
107. #19151510C22semidirect
110. #19151508C22semidirect
111. #19151508C22semidirect
117. #19151507C22semidirect
119. #19151504C22semidirect
120. #19151502C22semidirect
121. #19151500C22semidirect
126. #19151498C22semidirect
127. #19151498C22semidirect
128. #19151498C22semidirect
129. #19151494C22semidirect
130. #19151494C22semidirect
131. #19151489C22semidirect
132. #19151489C22semidirect
133. #19151489C22semidirect
134. #19151489C22semidirect
135. #19151489C22semidirect
136. #19151489C22semidirect
137. #19151488C22semidirect
138. #19151488C22semidirect
139. #19151488C22semidirect
140. #19151488C22semidirect
141. #19151488C22semidirect
142. #19151485C22semidirect
144. #19151477C22semidirect
147. #19151476C22semidirect
148. #19151476C22semidirect
149. #19151476C22semidirect
150. #19151476C22semidirect
151. #19151476C22semidirect
152. #19151476C22semidirect
157. #19151474C22semidirect
158. #19151472C22semidirect
159. #19151470C22semidirect
160. #19151469C22semidirect
161. #19151469C22semidirect
162. #19151469C22semidirect
163. #19151460C22semidirect
164. #19151460C22semidirect
165. #19151460C22semidirect
166. #19151460C22semidirect
167. #19151457C22semidirect
168. #19151457C22semidirect
169. #19151457C22semidirect
170. #19151456C22semidirect
171. #19151453C22semidirect
172. #19151453C22semidirect
173. #19151444C22semidirect
174. C2×#126×C89C22semidirect
175. C2×#117×C89C22semidirect
176. #398×C89C22semidirect
177. #396×C89C22semidirect
178. #396×C89C22semidirect
181. #389×C89C22semidirect
182. #388×C89C22semidirect
183. #388×C89C22semidirect
184. #388×C89C22semidirect
185. #387×C89C22semidirect
187. #385×C89C22semidirect
188. C4×C4⋊C4×C89C22semidirect
265. C4×D356D4semidirect
933. #2601D89semidirect
940. C89#36724semidirect
946. C2×#126C2×D89semidirect
984. C2×#117C2×D89semidirect
990. #398C2×D89semidirect
998. #396C2×D89semidirect
999. #396C2×D89semidirect
1047. #389C2×D89semidirect
1059. #388C2×D89semidirect
1060. #388C2×D89semidirect
1061. #388C2×D89semidirect
1063. #387C2×D89semidirect
1085. #385C2×D89semidirect
1096. C4×C4⋊C4C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521872
C2×#191521102
#260285472
#260285332
#260269242
#260268792
#260268452
#260268382
#260266702
#260266202
#260266092
#260265992
#260265852
#260265822
#260265722
#260265002
#260264752
#260264672
#260261432
#260261012
#260259392
#260258812
#260258412
#260252232
#260251462
#260235962
#260235692
#260228902
C89×#26012
#3672489