Finite Group Databasebeta

← #26423343

Subgroups — #26423343

Order 12032.

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×#15689706C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20251683C211yesmaximal, characteristic, complemented
4#20251669C211yesmaximal, characteristic, complemented
5#20250062C211yesmaximal, characteristic, complemented
6#20250017C211yesmaximal, characteristic, complemented
7#20249987C211yesmaximal, characteristic, complemented
8#20249976C211yesmaximal, characteristic, complemented
9#20249811C211yesmaximal, characteristic, complemented
10#20249754C211yesmaximal, characteristic, complemented
11#20249744C211yesmaximal, characteristic, complemented
12#20249741C211yesmaximal, characteristic, complemented
13#20249721C211yesmaximal, characteristic, complemented
14#20249719C211yesmaximal, characteristic, complemented
15#20249715C211yesmaximal, characteristic, complemented
16#20249712C211yesmaximal, characteristic, complemented
17#20249641C211yesmaximal, characteristic, complemented
18#20249612C211yesmaximal, characteristic, complemented
19#20249606C211yesmaximal, characteristic, complemented
20#20249599C211yesmaximal, characteristic, complemented
21#20249279C211yesmaximal, characteristic, complemented
22#20249237C211yesmaximal, characteristic, complemented
23#20249073C211yesmaximal, characteristic, complemented
24#20249014C211yesmaximal, characteristic, complemented
25#20248983C211yesmaximal, characteristic, complemented
26#20248357C211yesmaximal, characteristic, complemented
27#20248274C211yesmaximal, characteristic, complemented
28#20246733C211yesmaximal, characteristic, complemented
29#20246709C211yesmaximal, characteristic, complemented
30#20246028C211yesmaximal, characteristic, complemented
31C47×#2600C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic, complemented
34#15689706—28no—
35C2×#13094020C2211yescharacteristic
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094018C2211yescharacteristic, complemented
38C2×#13094012C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094010C2211yescharacteristic, complemented
41#15689632—28no—
42C2×#13094009C2211yescharacteristic
43C2×#13094009C2211yescharacteristic
44C2×#13094009C2211yescharacteristic, complemented
45C2×#13094007C2211yescharacteristic, complemented
46C2×#13094006C2211yescharacteristic
47C2×#13094005C2211yescharacteristic
48C2×#13094003C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic, complemented
51C2×#13094001C2211yescharacteristic, complemented
52C2×#13093998C2211yescharacteristic
53C2×#13093998C2211yescharacteristic, complemented
54C2×#13093997C2211yescharacteristic
55C2×#13093997C2211yescharacteristic
56C2×#13093997C2211yescharacteristic
57C2×#13093996C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093994C2211yescharacteristic
62C2×#13093994C2211yescharacteristic
63C2×#13093994C2211yescharacteristic
64C2×#13093994C2211yescharacteristic, complemented
65C2×#13093994C2211yescharacteristic, complemented
66C2×#13093992C2211yescharacteristic
67C2×#13093992C2211yescharacteristic
68C2×#13093992C2211yescharacteristic, complemented
69C2×#13093992C2211yescharacteristic, complemented
70C2×C4×D188C2211yescharacteristic, complemented
71C2×C4×C22⋊D47C2211yescharacteristic
72C2×C4×C22⋊D47C2211yescharacteristic, complemented
73C2×#13093981C2211yescharacteristic, complemented
74C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
75#15689065C2211yescharacteristic, complemented
76#15689058C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689054C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689047C2211yescharacteristic, complemented
83#15689047C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689045C2211yescharacteristic, complemented
88#15689043C2211yescharacteristic, complemented
89#15689041C2211yescharacteristic
90#15689041C2211yescharacteristic
91#15689041C2211yescharacteristic, complemented
92#15689041C2211yescharacteristic, complemented
93#15689040C2211yescharacteristic
94#15689040C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic
96#15689039C2211yescharacteristic
97#15689039C2211yescharacteristic, complemented
98#15689039C2211yescharacteristic, complemented
99#15689038C2211yescharacteristic
100#15689038C2211yescharacteristic
101#15689038C2211yescharacteristic, complemented
102#15689038C2211yescharacteristic, complemented
103#15689038C2211yescharacteristic, complemented
104#15689038C2211yescharacteristic, complemented
105#15689037C2211yescharacteristic, complemented
106#15689036C2211yescharacteristic, complemented
107#15689036C2211yescharacteristic, complemented
108#15689036C2211yescharacteristic, complemented
109#15689033C2211yescharacteristic
110#15689033C2211yescharacteristic
111#15689033C2211yescharacteristic
112#15689033C2211yescharacteristic
113#15689032C2211yescharacteristic
114#15689032C2211yescharacteristic
115#15689032C2211yescharacteristic, complemented
116#15689032C2211yescharacteristic, complemented
117#15689031C2211yescharacteristic
118#15689031C2211yescharacteristic, complemented
119#15689029C2211yescharacteristic, complemented
120#15689027C2211yescharacteristic, complemented
121#15689025C2211yescharacteristic, complemented
122#15689024C2211yescharacteristic
123#15689024C2211yescharacteristic
124#15689024C2211yescharacteristic, complemented
125#15689023C2211yescharacteristic
126#15689023C2211yescharacteristic
127#15689023C2211yescharacteristic
128#15689023C2211yescharacteristic, complemented
129#15689023C2211yescharacteristic, complemented
130#15689020C2211yescharacteristic, complemented
131#15689020C2211yescharacteristic, complemented
132#15689020C2211yescharacteristic, complemented
133#15689017C2211yescharacteristic, complemented
134#15689017C2211yescharacteristic, complemented
135#15689015C2211yescharacteristic, complemented
136#15689015C2211yescharacteristic, complemented
137#15689015C2211yescharacteristic, complemented
138#15689014C2211yescharacteristic, complemented
139#15689014C2211yescharacteristic, complemented
140#15689012C2211yescharacteristic, complemented
141#15689012C2211yescharacteristic, complemented
142#15689012C2211yescharacteristic, complemented
143#15689011C2211yescharacteristic, complemented
144#15689011C2211yescharacteristic, complemented
145#15689002C2211yescharacteristic
146#15689002C2211yescharacteristic
147#15689001C2211yescharacteristic
148#15689001C2211yescharacteristic
149#15689001C2211yescharacteristic
150#15689001C2211yescharacteristic
151#15689001C2211yescharacteristic, complemented
152#15689001C2211yescharacteristic, complemented
153#15689000C2211yescharacteristic
154#15689000C2211yescharacteristic
155#15689000C2211yescharacteristic, complemented
156#15688999C2211yescharacteristic, complemented
157#15688999C2211yescharacteristic, complemented
158#15688999C2211yescharacteristic, complemented
159#15688995C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688994C2211yescharacteristic, complemented
162#15688994C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic, complemented
164#15688985C2211yescharacteristic, complemented
165#15688984C2211yescharacteristic, complemented
166#15688983C2211yescharacteristic, complemented
167#15688982C2211yescharacteristic, complemented
168#15688982C2211yescharacteristic, complemented
169#15688981C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172#15688974C2211yescharacteristic, complemented
173#15688968C2211yescharacteristic, complemented
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#381C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C2×#10625350—24no—
192C2×#10625350—42no—
193C2×#10625350—42no—
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×D188C2311yescharacteristic
203C22×D188C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C22×C22⋊D47C2311yescharacteristic
213C22×C22⋊D47C2311yescharacteristic
214C22×C22⋊D47C2311yescharacteristic
215C23×Dic47C2311yescharacteristic
216C23×Dic47C2311yescharacteristic
217C22×C4×D47—24no—
218C22×C4×D47—42no—
219C22×C4×D47—42no—
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225#13094020—42no—
226#13094019—24no—
227#13094018—24no—
228#13094012—24no—
229#13094010—24no—
230#13094010—42no—
231#13094009—24no—
232#13094009—24no—
233#13094009—42no—
234#13094007—24no—
235#13094006—24no—
236#13094005—42no—
237#13094003—42no—
238#13094002—24no—
239#13094001—24no—
240#13094001—24no—
241#13093998—24no—
242#13093998—42no—
243#13093997—24no—
244#13093997—24no—
245#13093997—42no—
246#13093996—24no—
247#13093996—24no—
248#13093996—42no—
249#13093994—24no—
250#13093994—24no—
251#13093994—42no—
252#13093994—42no—
253#13093994—42no—
254#13093994—42no—
255#13093992—24no—
256#13093992—24no—
257#13093992—42no—
258#13093992—42no—
259C4×D188—24no—
260C4×C22⋊D47—24no—
261C4×C22⋊D47D418yescomplemented
262#13093981—24no—
263C2×C4⋊Dic47C2311yescharacteristic
264C2×C4⋊Dic47C2311yescharacteristic
265C2×C4⋊Dic47C2311yescharacteristic
266C2×C4⋊Dic47C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×(C2×D47)⋊C4—24no—
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C2×(C2×D47)⋊C4C2311yescharacteristic
326C2×(C2×D47)⋊C4C2311yescharacteristic
327C2×(C2×D47)⋊C4C2311yescharacteristic
328C2×(C2×D47)⋊C4C2311yescharacteristic
329C2×(C2×D47)⋊C4C2311yescharacteristic
330C2×(C2×D47)⋊C4C2311yescharacteristic
331C2×C4×Dic47C2311yescharacteristic
332C2×C4×Dic47C2311yescharacteristic
333C2×C4×Dic47C2311yescharacteristic
334C2×C4×Dic47C2311yescharacteristic
335C2×C4×Dic47C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C4×D4×C47—24no—
361C4×D4×C47—24no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47—41no—
402C23×D47—41no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47C2×D414yes—
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47C2×D414yes—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493#10625350—416no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—22no—
497C2×D188—22no—
498C2×D188—22no—
499C2×D188—22no—
500C2×D188—22no—
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188—41no—
509C2×D188—41no—
510C2×D188—41no—
511C2×D188—41no—
512C2×D188—41no—
513C2×D188—41no—
514C2×D188—41no—
515C2×D188—41no—
516C2×D188—41no—
517C2×D188—41no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—416no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47C2×D414yes—
534C2×Dic94—22no—
535C2×Dic94—22no—
536C2×Dic94—22no—
537C2×Dic94—41no—
538C2×Dic94—41no—
539C2×Dic94—41no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—41no—
543C4⋊C4×C47—41no—
544C4⋊C4×C47—41no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—41no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊C4×C47—41no—
556C22⋊C4×C47—41no—
557C42×C47—22no—
558C42×C47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47C2×D414yes—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595(C2×D47)⋊C4—41no—
596(C2×D47)⋊C4—41no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604(C2×D47)⋊C4—41no—
605(C2×D47)⋊C4—41no—
606(C2×D47)⋊C4C2×D414yes—
607C4⋊Dic47—22no—
608C4⋊Dic47—22no—
609C4⋊Dic47—41no—
610C4⋊Dic47—41no—
611Dic47⋊C4—22no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—22no—
615Dic47⋊C4—22no—
616Dic47⋊C4—22no—
617Dic47⋊C4—22no—
618Dic47⋊C4—41no—
619Dic47⋊C4—41no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622Dic47⋊C4—41no—
623Dic47⋊C4—41no—
624Dic47⋊C4—41no—
625Dic47⋊C4C2×D414yes—
626C4×Dic47—41no—
627C4×Dic47—41no—
628C4×Dic47—41no—
629C4×Dic47—41no—
630C4×Dic47C2×D414yes—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47C22×D412yes—
651C23×C47H(5,𝔽2)12yes—
652C23×C47C2511yescharacteristic
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—44no—
687C22×D47—44no—
688C22×D47—44no—
689C22×D47—44no—
690C22×D47—44no—
691C22×D47—44no—
692C22×D47—44no—
693C22×D47—44no—
694C22×D47—82no—
695C22×D47—82no—
696C22×D47—82no—
697C22×D47—82no—
698C22×D47—82no—
699C22×D47—82no—
700C22×D47C22×D412yes—
701C22×D47H(5,𝔽2)12yes—
702D4×C47—44no—
703D4×C47—44no—
704D4×C47—82no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—44no—
740C2×C4×C47—44no—
741C2×C4×C47—82no—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C22⋊D47—44no—
745C22⋊D47—44no—
746C22⋊D47—44no—
747C22⋊D47—44no—
748C22⋊D47—82no—
749C22⋊D47—82no—
750C22⋊D47—82no—
751C22⋊D47—82no—
752C22⋊D47—82no—
753C22⋊D47—82no—
754C22⋊D47—82no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—44no—
785C2×Dic47—82no—
786C2×Dic47C22×D412yes—
787C2×Dic47C22×D412yes—
788C2×Dic47C22×D412yes—
789C2×Dic47H(5,𝔽2)12yes—
790D188—44no—
791D188—44no—
792D188—82no—
793D188—82no—
794D188—82no—
795D188—82no—
796D188—82no—
797D188—82no—
798C4×D47—28no—
799C4×D47—44no—
800C4×D47—44no—
801C4×D47—44no—
802C4×D47—44no—
803Dic94—44no—
804Dic94—82no—
805#36724—471nomaximal, Sylow
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—22no—
809C22×C47—22no—
810C22×C47—22no—
811C22×C47—22no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47C23×D411yescharacteristic
828C22×C47C2×H(5,𝔽2)11yescharacteristic
829C22×C47C2×H(5,𝔽2)11yescharacteristic
830C22×C47C2×H(5,𝔽2)11yescharacteristic
831C22×C47#58511yescharacteristic
832C22×C47#58511yescharacteristic
833C22×C47#58511yescharacteristic
834C2×D47—22no—
835C2×D47—22no—
836C2×D47—22no—
837C2×D47—22no—
838C2×D47—22no—
839C2×D47—22no—
840C2×D47—416no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—88no—
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47—41no—
882C4×C47—41no—
883Dic47—22no—
884Dic47—22no—
885Dic47—22no—
886Dic47—22no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894C2×#538—471no—
895C2×#525—471no—
896#2849—471no—
897#2847—471no—
898#2705—471no—
899#2702—471no—
900#2700—471no—
901#2699—471no—
902#2687—471no—
903#2682—471no—
904#2681—471no—
905#2681—471no—
906#2679—471no—
907#2678—471no—
908#2678—471no—
909#2678—471no—
910#2672—471no—
911#2670—471no—
912#2669—471no—
913#2669—471no—
914#2635—471no—
915#2630—471no—
916#2610—471no—
917#2603—471no—
918#2601—471no—
919#2600D4711yescharacteristic, complemented
920#2544—471no—
921#2534—471no—
922#2407—471no—
923#2404—471no—
924#2319—471no—
925C2×C47—42no—
926C2×C47—42no—
927C2×C47—81no—
928C2×C47#344911yescharacteristic
929C2×C47#348411yescharacteristic
930C2×C47#348811yescharacteristic
931C2×C47#353311yescharacteristic
932C2×C47#353411yescharacteristic
933C2×C47#354011yescharacteristic
934C2×C47#354211yescharacteristic
935D47—42no—
936D47—42no—
937D47—81no—
938D47—81no—
939D47—81no—
940C22×#41—471no—
941C24×C4—471no—
942#538—948no—
943C2×#127—471no—
944C2×#126—471no—
945C2×#126—471no—
946C2×#124—471no—
947C2×#124—471no—
948C2×#124—471no—
949#525—948no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123—471no—
955C2×#123—471no—
956C2×C22⋊Q8—471no—
957C2×C22⋊Q8—471no—
958C2×C22⋊Q8—471no—
959C2×C22⋊Q8—471no—
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—471no—
963C2×#121—471no—
964C2×#121—471no—
965C2×#121—471no—
966C2×#121—471no—
967C2×#121—471no—
968C2×#120—471no—
969C2×#120—471no—
970C2×#120—471no—
971C2×#120—471no—
972C2×#120—471no—
973C2×#120—471no—
974C2×#120—471no—
975C2×#120—471no—
976C2×#120—471no—
977C2×#120—471no—
978C2×C4×D4—471no—
979C2×C4×D4—471no—
980C2×C4×D4—471no—
981C2×C4×D4C2×D4711yescharacteristic
982C2×C4×D4C2×D4711yescharacteristic, complemented
983C2×#117—471no—
984C22×C22⋊C4—471no—
985#400—471no—
986#399—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#397—471no—
991#397—471no—
992#397C2×D4711yescharacteristic, complemented
993#396—471no—
994#396—471no—
995#396—471no—
996#396—471no—
997#396—471no—
998#396—471no—
999#395—471no—
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394—471no—
1005#394—471no—
1006#394—471no—
1007#394—471no—
1008#394—471no—
1009#394—471no—
1010#394—471no—
1011#394—471no—
1012#394—471no—
1013#394—471no—
1014#394—471no—
1015#394—471no—
1016#394—471no—
1017#394C2×D4711yescharacteristic
1018#394C2×D4711yescharacteristic, complemented
1019#393—471no—
1020#393—471no—
1021#393—471no—
1022#392—471no—
1023#392—471no—
1024#392—471no—
1025#392—471no—
1026#392—471no—
1027#392—471no—
1028#392—471no—
1029#392—471no—
1030#392—471no—
1031#392—471no—
1032#392C2×D4711yescharacteristic
1033#391—471no—
1034#391—471no—
1035#390—471no—
1036#390—471no—
1037#390—471no—
1038#390—471no—
1039#390—471no—
1040#390—471no—
1041#390—471no—
1042#390—471no—
1043#390—471no—
1044#389—471no—
1045#389—471no—
1046#389—471no—
1047#388—471no—
1048#388—471no—
1049#388—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388C2×D4711yescharacteristic, complemented
1060#388C2×D4711yescharacteristic, complemented
1061#387C2×D4711yescharacteristic, complemented
1062#387C2×D4711yescharacteristic, complemented
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386C2×D4711yescharacteristic, complemented
1078#386C2×D4711yescharacteristic, complemented
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385—471no—
1083#385C2×D4711yescharacteristic, complemented
1084#385C2×D4711yescharacteristic, complemented
1085#381—471no—
1086#381—471no—
1087#381—471no—
1088#381C2×D4711yescharacteristic, complemented
1089#380—471no—
1090#380—471no—
1091#380—471no—
1092#380—471no—
1093#379—471no—
1094#379—471no—
1095C4×C4⋊C4—471no—
1096#376—471no—
1097C47#3672411yescharacteristic, complemented, Sylow
1098C25—471no—
1099C25—471no—
1100C2×#41—944no—
1101C2×#41—1882no—
1102C2×#41—1882no—
1103C22×Q8—471no—
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—471no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4—471no—
1121C22×D4—471no—
1122C22×D4—471no—
1123C22×D4—471no—
1124C22×D4C22×D4711yescharacteristic
1125C22×D4C22×D4711yescharacteristic
1126C22×D4C22×D4711yescharacteristic
1127C23×C4—471no—
1128C23×C4—471no—
1129C23×C4—471no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4—471no—
1133C23×C4—471no—
1134C23×C4—944no—
1135C23×C4—1882no—
1136C23×C4—1882no—
1137C23×C4C22×D4711yescharacteristic
1138C23×C4C22×D4711yescharacteristic
1139C23×C4C22×D4711yescharacteristic
1140#127—1882no—
1141#126—944no—
1142#126—944no—
1143#124—944no—
1144#124—944no—
1145#124—1882no—
1146#123—944no—
1147#123—944no—
1148#123—944no—
1149#123—944no—
1150#123—1882no—
1151#123—1882no—
1152C22⋊Q8—944no—
1153C22⋊Q8—944no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—944no—
1157#121—944no—
1158#121—944no—
1159#121—944no—
1160#121—944no—
1161#121—1882no—
1162#121—1882no—
1163#121—1882no—
1164#120—944no—
1165#120—944no—
1166#120—944no—
1167#120—944no—
1168#120—1882no—
1169#120—1882no—
1170#120—1882no—
1171#120—1882no—
1172#120—1882no—
1173#120—1882no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—478no—
1177C4×D4—944no—
1178C4×D4—944no—
1179#117—944no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—471no—
1188C2×C4⋊C4—471no—
1189C2×C4⋊C4—471no—
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—471no—
1197C2×C4⋊C4—471no—
1198C2×C4⋊C4—471no—
1199C2×C4⋊C4C22×D4711yescharacteristic
1200C2×C4⋊C4C22×D4711yescharacteristic
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C4⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—944no—
1253C2×C22⋊C4C22×D4711yescharacteristic
1254C2×C22⋊C4C22×D4711yescharacteristic
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4C22×D4711yescharacteristic
1264C2×C22⋊C4C22×D4711yescharacteristic
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—471no—
1268C2×C42—471no—
1269C2×C42—471no—
1270C2×C42C22×D4711yescharacteristic
1271C2×C42C22×D4711yescharacteristic
1272#95—471no—
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
1279#95—471no—
1280#95—471no—
1281#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95C22×D4711yescharacteristic
1291#95C22×D4711yescharacteristic
1292#95C22×D4711yescharacteristic
1293#95C22×D4711yescharacteristic
1294#95C22×D4711yescharacteristic
1295#95C22×D4711yescharacteristic
1296#95C22×D4711yescharacteristic
1297#95C22×D4711yescharacteristic
1298#95C22×D4711yescharacteristic
1299#95C22×D4711yescharacteristic
1300C24—471no—
1301C24—471no—
1302C24—471no—
1303C24—471no—
1304C24—471no—
1305C24—942no—
1306C24—942no—
1307C24—942no—
1308C24—942no—
1309C24—1881no—
1310C24—1881no—
1311C24—1881no—
1312C24—1881no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24—1881no—
1318C24—1881no—
1319C24C23×D4711yescharacteristic
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—18816no—
1323C2×Q8—942no—
1324C2×Q8—942no—
1325C2×Q8—942no—
1326C2×Q8—1881no—
1327C2×Q8—1881no—
1328C2×Q8—1881no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—474no—
1339C2×D4—942no—
1340C2×D4—942no—
1341C2×D4—942no—
1342C2×D4—942no—
1343C2×D4—942no—
1344C2×D4—942no—
1345C2×D4—942no—
1346C2×D4—942no—
1347C2×D4—942no—
1348C2×D4—942no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—1881no—
1359C2×D4—1881no—
1360C2×D4—1881no—
1361C2×D4—1881no—
1362C2×D4—1881no—
1363C2×D4—1881no—
1364C2×D4—1881no—
1365C2×D4—1881no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C2×D4—1881no—
1371C2×D4—1881no—
1372C2×D4—1881no—
1373C2×D4—1881no—
1374C2×D4—1881no—
1375C2×D4—1881no—
1376C2×D4—1881no—
1377C2×D4—1881no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4—1881no—
1381C2×D4—1881no—
1382C2×D4—1881no—
1383C2×D4—1881no—
1384C2×D4—1881no—
1385C2×D4—1881no—
1386C2×D4—1881no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—1881no—
1393C2×D4—1881no—
1394C2×D4—1881no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—471no—
1404C22×C4—471no—
1405C22×C4—471no—
1406C22×C4—471no—
1407C22×C4—474no—
1408C22×C4—471no—
1409C22×C4—471no—
1410C22×C4—471no—
1411C22×C4—471no—
1412C22×C4—471no—
1413C22×C4—471no—
1414C22×C4—471no—
1415C22×C4—942no—
1416C22×C4—942no—
1417C22×C4—942no—
1418C22×C4—942no—
1419C22×C4—942no—
1420C22×C4—942no—
1421C22×C4—942no—
1422C22×C4—942no—
1423C22×C4—942no—
1424C22×C4—942no—
1425C22×C4—942no—
1426C22×C4—1881no—
1427C22×C4—1881no—
1428C22×C4—1881no—
1429C22×C4—1881no—
1430C22×C4—1881no—
1431C22×C4—1881no—
1432C22×C4—18816no—
1433C22×C4—1881no—
1434C22×C4—1881no—
1435C22×C4—1881no—
1436C22×C4D4×D4714yes—
1437C22×C4C23×D4711yescharacteristic
1438C22×C4C23×D4711yescharacteristic
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C22×C4C23×D4711yescharacteristic
1444C22×C4C23×D4711yescharacteristic
1445C22×C4C23×D4711yescharacteristic
1446C22×C4C23×D4711yescharacteristic
1447C22×C4C23×D4711yescharacteristic
1448C22×C4C23×D4711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—474no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—942no—
1461C4⋊C4—942no—
1462C4⋊C4—942no—
1463C4⋊C4—942no—
1464C4⋊C4—1881no—
1465C4⋊C4—1881no—
1466C4⋊C4—1881no—
1467C4⋊C4—1881no—
1468C4⋊C4—1881no—
1469C4⋊C4—1881no—
1470C4⋊C4—1881no—
1471C4⋊C4—1881no—
1472C4⋊C4—1881no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—474no—
1486C22⋊C4—474no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—942no—
1501C22⋊C4—942no—
1502C22⋊C4—942no—
1503C22⋊C4—942no—
1504C22⋊C4—942no—
1505C22⋊C4—942no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—942no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C22⋊C4—1881no—
1516C22⋊C4—1881no—
1517C22⋊C4—1881no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C22⋊C4—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
1531C22⋊C4—1881no—
1532C22⋊C4—1881no—
1533C42—22no—
1534C42—22no—
1535C42—474no—
1536C42—1881no—
1537C42—1881no—
1538C42—1881no—
1539C42—1881no—
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—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—472no—
1560C23—472no—
1561C23—941no—
1562C23—941no—
1563C23—941no—
1564C23—941no—
1565C23—941no—
1566C23—941no—
1567C23—941no—
1568C23—941no—
1569C23—941no—
1570C23—941no—
1571C23—941no—
1572C23—941no—
1573C23—941no—
1574C23—941no—
1575C23—941no—
1576C23—941no—
1577C23—941no—
1578C23—941no—
1579C23—941no—
1580C23—941no—
1581C23—941no—
1582C23—941no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—3762no—
1595C23—3762no—
1596C23—3762no—
1597C23—3762no—
1598C23—3762no—
1599C23—3762no—
1600C23—1884no—
1601C23—1884no—
1602C23—1884no—
1603C23—1884no—
1604C23—1884no—
1605C23—1884no—
1606C23—1884no—
1607C23—1884no—
1608C23C2×D4×D4712yes—
1609C23#1309407012yes—
1610C23C24×D4711yescharacteristic
1611Q8—3762no—
1612Q8—1884no—
1613D4—44no—
1614D4—44no—
1615D4—82no—
1616D4—3762no—
1617D4—3762no—
1618D4—3762no—
1619D4—3762no—
1620D4—3762no—
1621D4—3762no—
1622D4—3762no—
1623D4—3762no—
1624D4—3762no—
1625D4—3762no—
1626D4—3762no—
1627D4—3762no—
1628D4—3762no—
1629D4—1884no—
1630D4—1884no—
1631D4—1884no—
1632D4—1884no—
1633D4—1884no—
1634D4—1884no—
1635C2×C4—21no—
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—44no—
1670C2×C4—44no—
1671C2×C4—82no—
1672C2×C4—472no—
1673C2×C4—472no—
1674C2×C4—472no—
1675C2×C4—472no—
1676C2×C4—948no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—3762no—
1707C2×C4—1884no—
1708C2×C4—1884no—
1709C2×C4—1884no—
1710C2×C4—1884no—
1711C2×C4—1884no—
1712C2×C4C2×D4×D4712yes—
1713C2×C4C2×D4×D4712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—942no—
1736C22—942no—
1737C22—942no—
1738C22—942no—
1739C22—942no—
1740C22—942no—
1741C22—3768no—
1742C22—18816no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—1881no—
1753C22—1881no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22—1881no—
1770C22—1881no—
1771C22—1881no—
1772C22C22×D4×D4711yescharacteristic
1773C22H(5,𝔽2)×D4711yescharacteristic
1774C22H(5,𝔽2)×D4711yescharacteristic
1775C22C2×#1309407011yescharacteristic
1776C22#1568995911yescharacteristic
1777C22#1568995911yescharacteristic
1778C22#1568995911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—942no—
1792C4—942no—
1793C4—942no—
1794C4—942no—
1795C4—1881no—
1796C4—1881no—
1797C4—1881no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—3761no—
1806C2—3761no—
1807C2—3761no—
1808C2—1882no—
1809C2—1882no—
1810C2#2025671811yescharacteristic
1811C2#2025702011yescharacteristic
1812C2#2025704911yescharacteristic
1813C2#2025754611yescharacteristic
1814C2#2025756511yescharacteristic
1815C2#2025765111yescharacteristic
1816C2#2025769711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2600C2
hypercenter#2600D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2600

Complements

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

NH ≅ G/Ntype
1. C2×#15689706C2semidirect
2. C2×#15689632C2semidirect
3. #20251683C2semidirect
4. #20251669C2semidirect
5. #20250062C2semidirect
6. #20250017C2semidirect
7. #20249987C2semidirect
8. #20249976C2semidirect
9. #20249811C2semidirect
10. #20249754C2semidirect
11. #20249744C2semidirect
12. #20249741C2semidirect
13. #20249721C2semidirect
14. #20249719C2semidirect
15. #20249715C2semidirect
16. #20249712C2semidirect
17. #20249641C2semidirect
18. #20249612C2semidirect
19. #20249606C2semidirect
20. #20249599C2semidirect
21. #20249279C2semidirect
22. #20249237C2semidirect
23. #20249073C2semidirect
24. #20249014C2semidirect
25. #20248983C2semidirect
26. #20248357C2semidirect
27. #20248274C2semidirect
28. #20246733C2semidirect
29. #20246709C2semidirect
30. #20246028C2semidirect
31. C47×#2600C2semidirect
33. C23×C4×D47C22semidirect
36. C2×#13094019C22semidirect
37. C2×#13094018C22semidirect
39. C2×#13094010C22semidirect
40. C2×#13094010C22semidirect
44. C2×#13094009C22semidirect
45. C2×#13094007C22semidirect
48. C2×#13094003C22semidirect
49. C2×#13094002C22semidirect
50. C2×#13094001C22semidirect
51. C2×#13094001C22semidirect
53. C2×#13093998C22semidirect
64. C2×#13093994C22semidirect
65. C2×#13093994C22semidirect
68. C2×#13093992C22semidirect
69. C2×#13093992C22semidirect
70. C2×C4×D188C22semidirect
72. C2×C4×C22⋊D47C22semidirect
73. C2×#13093981C22semidirect
74. C22×(C2×D47)⋊C4C22semidirect
75. #15689065C22semidirect
76. #15689058C22semidirect
77. #15689057C22semidirect
78. #15689056C22semidirect
79. #15689054C22semidirect
80. #15689052C22semidirect
81. #15689052C22semidirect
82. #15689047C22semidirect
83. #15689047C22semidirect
84. #15689047C22semidirect
85. #15689045C22semidirect
86. #15689045C22semidirect
87. #15689045C22semidirect
88. #15689043C22semidirect
91. #15689041C22semidirect
92. #15689041C22semidirect
94. #15689040C22semidirect
97. #15689039C22semidirect
98. #15689039C22semidirect
101. #15689038C22semidirect
102. #15689038C22semidirect
103. #15689038C22semidirect
104. #15689038C22semidirect
105. #15689037C22semidirect
106. #15689036C22semidirect
107. #15689036C22semidirect
108. #15689036C22semidirect
115. #15689032C22semidirect
116. #15689032C22semidirect
118. #15689031C22semidirect
119. #15689029C22semidirect
120. #15689027C22semidirect
121. #15689025C22semidirect
124. #15689024C22semidirect
128. #15689023C22semidirect
129. #15689023C22semidirect
130. #15689020C22semidirect
131. #15689020C22semidirect
132. #15689020C22semidirect
133. #15689017C22semidirect
134. #15689017C22semidirect
135. #15689015C22semidirect
136. #15689015C22semidirect
137. #15689015C22semidirect
138. #15689014C22semidirect
139. #15689014C22semidirect
140. #15689012C22semidirect
141. #15689012C22semidirect
142. #15689012C22semidirect
143. #15689011C22semidirect
144. #15689011C22semidirect
151. #15689001C22semidirect
152. #15689001C22semidirect
155. #15689000C22semidirect
156. #15688999C22semidirect
157. #15688999C22semidirect
158. #15688999C22semidirect
159. #15688995C22semidirect
160. #15688994C22semidirect
161. #15688994C22semidirect
162. #15688994C22semidirect
163. #15688985C22semidirect
164. #15688985C22semidirect
165. #15688984C22semidirect
166. #15688983C22semidirect
167. #15688982C22semidirect
168. #15688982C22semidirect
169. #15688981C22semidirect
170. #15688978C22semidirect
171. #15688978C22semidirect
172. #15688974C22semidirect
173. #15688968C22semidirect
175. C2×C4×D4×C47C22semidirect
176. C47×#397C22semidirect
178. C47×#394C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#387C22semidirect
183. C47×#387C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#385C22semidirect
187. C47×#385C22semidirect
188. C47×#381C22semidirect
261. C4×C22⋊D47D4semidirect
919. #2600D47semidirect
982. C2×C4×D4C2×D47semidirect
992. #397C2×D47semidirect
1018. #394C2×D47semidirect
1059. #388C2×D47semidirect
1060. #388C2×D47semidirect
1061. #387C2×D47semidirect
1062. #387C2×D47semidirect
1077. #386C2×D47semidirect
1078. #386C2×D47semidirect
1083. #385C2×D47semidirect
1084. #385C2×D47semidirect
1088. #381C2×D47semidirect
1097. C47#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
C2×#156896322
#202516832
#202516692
#202500622
#202500172
#202499872
#202499762
#202498112
#202497542
#202497442
#202497412
#202497212
#202497192
#202497152
#202497122
#202496412
#202496122
#202496062
#202495992
#202492792
#202492372
#202490732
#202490142
#202489832
#202483572
#202482742
#202467332
#202467092
#202460282
C47×#26002
#3672447