Finite Group Databasebeta

← #26423135

Subgroups — #26423135

Order 12032.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689741C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20251679C211yesmaximal, characteristic, complemented
4#20251674C211yesmaximal, characteristic, complemented
5#20249935C211yesmaximal, characteristic, complemented
6#20249916C211yesmaximal, characteristic, complemented
7#20249881C211yesmaximal, characteristic, complemented
8#20249862C211yesmaximal, characteristic, complemented
9#20249836C211yesmaximal, characteristic, complemented
10#20249787C211yesmaximal, characteristic, complemented
11#20249776C211yesmaximal, characteristic, complemented
12#20249763C211yesmaximal, characteristic, complemented
13#20249700C211yesmaximal, characteristic, complemented
14#20249682C211yesmaximal, characteristic, complemented
15#20249670C211yesmaximal, characteristic, complemented
16#20249666C211yesmaximal, characteristic, complemented
17#20249632C211yesmaximal, characteristic, complemented
18#20249617C211yesmaximal, characteristic, complemented
19#20249611C211yesmaximal, characteristic, complemented
20#20249590C211yesmaximal, characteristic, complemented
21#20249312C211yesmaximal, characteristic, complemented
22#20249235C211yesmaximal, characteristic, complemented
23#20249063C211yesmaximal, characteristic, complemented
24#20248963C211yesmaximal, characteristic, complemented
25#20248951C211yesmaximal, characteristic, complemented
26#20248745C211yesmaximal, characteristic, complemented
27#20248564C211yesmaximal, characteristic, complemented
28#20247016C211yesmaximal, characteristic, complemented
29#20247000C211yesmaximal, characteristic, complemented
30#20246015C211yesmaximal, characteristic, complemented
31C47×#2602C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689741—28no—
35C2×#13094024C2211yescharacteristic, complemented
36C2×#13094023C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic
38C2×#13094017C2211yescharacteristic, complemented
39C2×#13094012C2211yescharacteristic
40C2×#13094011C2211yescharacteristic, complemented
41C2×#13094010C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43#15689632—28no—
44C2×#13094009C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic
47C2×#13094006C2211yescharacteristic
48C2×#13094003C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094001C2211yescharacteristic, complemented
55C2×#13093997C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093996C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093996C2211yescharacteristic, complemented
60C2×#13093994C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
62C2×#13093992C2211yescharacteristic
63C2×#13093989C2211yescharacteristic, complemented
64C2×C4×D188C2211yescharacteristic
65C2×C4×C22⋊D47C2211yescharacteristic
66C2×C4×C22⋊D47C2211yescharacteristic
67C2×#13093981C2211yescharacteristic
68C2×#13093980C2211yescharacteristic, complemented
69#15689064C2211yescharacteristic, complemented
70#15689062C2211yescharacteristic, complemented
71#15689059C2211yescharacteristic
72#15689059C2211yescharacteristic
73#15689059C2211yescharacteristic, complemented
74#15689058C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689055C2211yescharacteristic, complemented
78#15689054C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic
80#15689052C2211yescharacteristic
81#15689052C2211yescharacteristic, complemented
82#15689050C2211yescharacteristic
83#15689049C2211yescharacteristic
84#15689047C2211yescharacteristic
85#15689046C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689045C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689043C2211yescharacteristic, complemented
91#15689043C2211yescharacteristic, complemented
92#15689041C2211yescharacteristic
93#15689041C2211yescharacteristic
94#15689040C2211yescharacteristic
95#15689040C2211yescharacteristic
96#15689039C2211yescharacteristic
97#15689039C2211yescharacteristic
98#15689039C2211yescharacteristic
99#15689039C2211yescharacteristic, complemented
100#15689039C2211yescharacteristic, complemented
101#15689038C2211yescharacteristic
102#15689038C2211yescharacteristic
103#15689038C2211yescharacteristic, complemented
104#15689036C2211yescharacteristic
105#15689036C2211yescharacteristic, complemented
106#15689036C2211yescharacteristic, complemented
107#15689035C2211yescharacteristic
108#15689035C2211yescharacteristic
109#15689035C2211yescharacteristic, complemented
110#15689032C2211yescharacteristic
111#15689032C2211yescharacteristic
112#15689031C2211yescharacteristic
113#15689029C2211yescharacteristic, complemented
114#15689025C2211yescharacteristic
115#15689023C2211yescharacteristic
116#15689023C2211yescharacteristic
117#15689020C2211yescharacteristic, complemented
118#15689018C2211yescharacteristic, complemented
119#15689016C2211yescharacteristic
120#15689014C2211yescharacteristic
121#15689014C2211yescharacteristic
122#15689013C2211yescharacteristic
123#15689013C2211yescharacteristic
124#15689012C2211yescharacteristic
125#15689012C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689007C2211yescharacteristic, complemented
128#15689007C2211yescharacteristic, complemented
129#15689007C2211yescharacteristic, complemented
130#15689006C2211yescharacteristic, complemented
131#15689006C2211yescharacteristic, complemented
132#15689005C2211yescharacteristic, complemented
133#15689003C2211yescharacteristic
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic, complemented
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic, complemented
146#15688998C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic
151#15688997C2211yescharacteristic, complemented
152#15688997C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic
154#15688996C2211yescharacteristic
155#15688995C2211yescharacteristic, complemented
156#15688995C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic, complemented
161#15688990C2211yescharacteristic, complemented
162#15688987C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic
164#15688985C2211yescharacteristic
165#15688982C2211yescharacteristic
166#15688982C2211yescharacteristic
167#15688981C2211yescharacteristic
168#15688981C2211yescharacteristic, complemented
169#15688981C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172#15688978C2211yescharacteristic
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#389C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#387C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×Dic94C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47—24no—
211C22×C4×D47—42no—
212C22×C4×D47—42no—
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094024—42no—
219#13094023—24no—
220#13094019—24no—
221#13094017—24no—
222#13094012—42no—
223#13094011—24no—
224#13094010—24no—
225#13094010—24no—
226#13094009—24no—
227#13094006—24no—
228#13094006—24no—
229#13094006—42no—
230#13094003—24no—
231#13094002—24no—
232#13094002—24no—
233#13094002—42no—
234#13094001—24no—
235#13094001—24no—
236#13094001—42no—
237#13093997—24no—
238#13093996—24no—
239#13093996—24no—
240#13093996—42no—
241#13093996—42no—
242#13093994—24no—
243#13093992—24no—
244#13093992—42no—
245#13093989—24no—
246C4×D188—24no—
247C4×C22⋊D47—24no—
248C4×C22⋊D47D418yescomplemented
249#13093981—24no—
250#13093980—24no—
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353#123×C47—24no—
354C4×D4×C47—24no—
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊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×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C22×C4×C47—22no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47C2×D414yes—
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47C2×D414yes—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471#10625350—416no—
472C2×D188—22no—
473C2×D188—22no—
474C2×D188—22no—
475C2×D188—41no—
476C2×D188—41no—
477C2×D188—41no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—416no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47C2×D414yes—
494C2×Dic94—22no—
495C2×Dic94—22no—
496C2×Dic94—22no—
497C2×Dic94—22no—
498C2×Dic94—22no—
499C2×Dic94—41no—
500C2×Dic94—41no—
501C2×Dic94—41no—
502C2×Dic94—41no—
503C2×Dic94—41no—
504C2×Dic94—41no—
505C2×Dic94—41no—
506C4⋊C4×C47—22no—
507C4⋊C4×C47—22no—
508C4⋊C4×C47—22no—
509C4⋊C4×C47—41no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47—41no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C42×C47—22no—
526C42×C47—41no—
527C42×C47—41no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47C2×D414yes—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4C2×D414yes—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571C4⋊Dic47—22no—
572C4⋊Dic47—41no—
573C4⋊Dic47—41no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4C2×D414yes—
593C4×Dic47—22no—
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47C2×D414yes—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47C22×D412yes—
617C23×C472−1+412yes—
618C23×C47C2511yescharacteristic
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47—44no—
645C22×D47C22×D412yes—
646C22×D47H(5,𝔽2)12yes—
647D4×C47—44no—
648D4×C47—82no—
649D4×C47—82no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—44no—
685C2×C4×C47—44no—
686C2×C4×C47C22×D412yes—
687C2×C4×C47C22×D412yes—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—82no—
693C22⋊D47—82no—
694C22⋊D47—82no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—44no—
731C2×Dic47—44no—
732C2×Dic47—82no—
733C2×Dic47—82no—
734C2×Dic47C22×D412yes—
735C2×Dic47C22×D412yes—
736C2×Dic47C22×D412yes—
737C2×Dic47H(5,𝔽2)12yes—
738D188—44no—
739D188—44no—
740C4×D47—28no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—44no—
745Dic94—44no—
746Dic94—44no—
747Dic94—82no—
748Dic94—82no—
749#36712—471nomaximal, Sylow
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47C23×D411yescharacteristic
772C22×C47C2×H(5,𝔽2)11yescharacteristic
773C22×C47C2×H(5,𝔽2)11yescharacteristic
774C22×C47C2×2−1+411yescharacteristic
775C22×C47#58511yescharacteristic
776C22×C47#58511yescharacteristic
777C22×C47#58511yescharacteristic
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—416no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812Dic47—22no—
813Dic47—22no—
814Dic47—22no—
815Dic47—22no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825C2×#542—471no—
826C2×#525—471no—
827#2849—471no—
828#2848—471no—
829#2696—471no—
830#2695—471no—
831#2692—471no—
832#2691—471no—
833#2689—471no—
834#2686—471no—
835#2685—471no—
836#2684—471no—
837#2677—471no—
838#2676—471no—
839#2674—471no—
840#2674—471no—
841#2672—471no—
842#2671—471no—
843#2670—471no—
844#2668—471no—
845#2638—471no—
846#2630—471no—
847#2609—471no—
848#2602D4711yescharacteristic, complemented
849#2599—471no—
850#2598—471no—
851#2580—471no—
852#2564—471no—
853#2432—471no—
854#2430—471no—
855#2318—471no—
856C2×C47—42no—
857C2×C47—42no—
858C2×C47—81no—
859C2×C47#344911yescharacteristic
860C2×C47#348411yescharacteristic
861C2×C47#348911yescharacteristic
862C2×C47#353311yescharacteristic
863C2×C47#353511yescharacteristic
864C2×C47#354011yescharacteristic
865C2×C47#354111yescharacteristic
866D47—42no—
867D47—42no—
868D47—81no—
869C22×#41—471no—
870C24×C4—471no—
871#542—948no—
872C2×C4⋊Q8—471no—
873C2×C4⋊Q8—471no—
874C2×#126—471no—
875C2×#126—471no—
876C2×#124—471no—
877C2×#124—471no—
878C2×#124—471no—
879C2×#124—471no—
880#525—948no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123—471no—
884C2×#123—471no—
885C2×#123C2×D4711yescharacteristic, complemented
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8—471no—
890C2×C22⋊Q8—471no—
891C2×C22⋊Q8—471no—
892C2×C22⋊Q8—471no—
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#121—471no—
897C2×#121—471no—
898C2×#120—471no—
899C2×#120—471no—
900C2×#120—471no—
901C2×C4×Q8—471no—
902C2×C4×D4—471no—
903C2×C4×D4—471no—
904C2×C4×D4—471no—
905C2×C4×D4C2×D4711yescharacteristic
906C2×#117—471no—
907C2×#117—471no—
908#400—471no—
909#400—471no—
910#399—471no—
911#399—471no—
912#399—471no—
913#399—471no—
914#398—471no—
915#398—471no—
916#398—471no—
917#398—471no—
918#397—471no—
919#397—471no—
920#397—471no—
921#397—471no—
922#397—471no—
923#397C2×D4711yescharacteristic, complemented
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#395—471no—
929#395—471no—
930#395—471no—
931#395—471no—
932#394—471no—
933#394—471no—
934#394—471no—
935#394—471no—
936#394—471no—
937#394—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394C2×D4711yescharacteristic
945#394C2×D4711yescharacteristic, complemented
946#393—471no—
947#393—471no—
948#393—471no—
949#393—471no—
950#393—471no—
951#393—471no—
952#392—471no—
953#392—471no—
954#392—471no—
955#392C2×D4711yescharacteristic
956#391—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390C2×D4711yescharacteristic
961#389—471no—
962#389—471no—
963#389C2×D4711yescharacteristic, complemented
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388C2×D4711yescharacteristic
972#388C2×D4711yescharacteristic, complemented
973#388C2×D4711yescharacteristic, complemented
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387—471no—
981#387C2×D4711yescharacteristic, complemented
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386C2×D4711yescharacteristic
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385C2×D4711yescharacteristic
1012#383—471no—
1013#382—471no—
1014#381—471no—
1015#381—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022#379—471no—
1023#379—471no—
1024C4×C22⋊C4C2×D4711yescharacteristic, complemented
1025C2×#95—471no—
1026C47#3671211yescharacteristic, complemented, Sylow
1027C25—471no—
1028C2×#41—944no—
1029C2×#41—1882no—
1030C2×#41—1882no—
1031C22×Q8—471no—
1032C22×Q8—471no—
1033C22×Q8—471no—
1034C22×Q8—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4C22×D4711yescharacteristic
1045C22×D4C22×D4711yescharacteristic
1046C22×D4C22×D4711yescharacteristic
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—944no—
1057C23×C4—1882no—
1058C23×C4—1882no—
1059C23×C4C22×D4711yescharacteristic
1060C23×C4C22×D4711yescharacteristic
1061C4⋊Q8—944no—
1062C4⋊Q8—1882no—
1063#126—944no—
1064#126—944no—
1065#124—944no—
1066#124—944no—
1067#124—944no—
1068#124—1882no—
1069#123—24no—
1070#123—944no—
1071#123—944no—
1072#123—944no—
1073#123—1882no—
1074C22⋊Q8—944no—
1075C22⋊Q8—944no—
1076C22⋊Q8—944no—
1077C22⋊Q8—944no—
1078C22⋊Q8—944no—
1079C22⋊Q8—1882no—
1080C22⋊Q8—1882no—
1081#121—944no—
1082#121—944no—
1083#121—944no—
1084#121—1882no—
1085#121—1882no—
1086#120—944no—
1087#120—944no—
1088#120—1882no—
1089C4×Q8—944no—
1090C4×D4—24no—
1091C4×D4—478no—
1092C4×D4—944no—
1093C4×D4—944no—
1094#117—944no—
1095#117—944no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4C22×D4711yescharacteristic
1123C2×C4⋊C4C22×D4711yescharacteristic
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42C22×D4711yescharacteristic
1185C2×C42C22×D4711yescharacteristic
1186C2×C42C22×D4711yescharacteristic
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223C24—471no—
1224C24—471no—
1225C24—471no—
1226C24—942no—
1227C24—942no—
1228C24—942no—
1229C24—1881no—
1230C24—1881no—
1231C24—1881no—
1232C24—1881no—
1233C24C23×D4711yescharacteristic
1234C24C23×D4711yescharacteristic
1235C24C23×D4711yescharacteristic
1236#41—18816no—
1237C2×Q8—942no—
1238C2×Q8—942no—
1239C2×Q8—942no—
1240C2×Q8—942no—
1241C2×Q8—942no—
1242C2×Q8—1881no—
1243C2×Q8—1881no—
1244C2×Q8—1881no—
1245C2×Q8—1881no—
1246C2×Q8—1881no—
1247C2×Q8—1881no—
1248C2×Q8—1881no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—474no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—942no—
1263C2×D4—942no—
1264C2×D4—942no—
1265C2×D4—942no—
1266C2×D4—942no—
1267C2×D4—942no—
1268C2×D4—942no—
1269C2×D4—942no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C2×D4—1881no—
1283C2×D4—1881no—
1284C2×D4—1881no—
1285C22×C4—22no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—474no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—18816no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4—1881no—
1329C22×C4—1881no—
1330C22×C4—1881no—
1331C22×C4D4×D4714yes—
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—474no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—942no—
1363C4⋊C4—942no—
1364C4⋊C4—942no—
1365C4⋊C4—1881no—
1366C4⋊C4—1881no—
1367C4⋊C4—1881no—
1368C4⋊C4—1881no—
1369C4⋊C4—1881no—
1370C4⋊C4—1881no—
1371C4⋊C4—1881no—
1372C4⋊C4—1881no—
1373C4⋊C4—1881no—
1374C4⋊C4—1881no—
1375C4⋊C4—1881no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—474no—
1390C22⋊C4—474no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C22⋊C4—1881no—
1427C22⋊C4—1881no—
1428C42—22no—
1429C42—41no—
1430C42—41no—
1431C42—474no—
1432C42—942no—
1433C42—942no—
1434C42—942no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—472no—
1455C23—472no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—1884no—
1476C23—1884no—
1477C23—1884no—
1478C23—1884no—
1479C23—1884no—
1480C23—1884no—
1481C23—1884no—
1482C23C2×D4×D4712yes—
1483C23#1309407112yes—
1484C23C24×D4711yescharacteristic
1485Q8—3762no—
1486Q8—3762no—
1487Q8—1884no—
1488Q8—1884no—
1489D4—44no—
1490D4—82no—
1491D4—82no—
1492D4—3762no—
1493D4—3762no—
1494D4—3762no—
1495D4—1884no—
1496D4—1884no—
1497D4—1884no—
1498D4—1884no—
1499D4—1884no—
1500D4—1884no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—472no—
1538C2×C4—472no—
1539C2×C4—472no—
1540C2×C4—472no—
1541C2×C4—948no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—3762no—
1578C2×C4—3762no—
1579C2×C4—1884no—
1580C2×C4—1884no—
1581C2×C4—1884no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4C2×D4×D4712yes—
1586C2×C4C2×D4×D4712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—942no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—942no—
1613C22—942no—
1614C22—18816no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22C22×D4×D4711yescharacteristic
1631C22H(5,𝔽2)×D4711yescharacteristic
1632C22H(5,𝔽2)×D4711yescharacteristic
1633C22C2×#1309407111yescharacteristic
1634C22#1568995911yescharacteristic
1635C22#1568995911yescharacteristic
1636C22#1568995911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—942no—
1650C4—942no—
1651C4—942no—
1652C4—942no—
1653C4—1881no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C4—1881no—
1659C4—1881no—
1660C4—1881no—
1661C4—1881no—
1662C2—42no—
1663C2—42no—
1664C2—81no—
1665C2—3761no—
1666C2—1882no—
1667C2—1882no—
1668C2#2025671511yescharacteristic
1669C2#2025702011yescharacteristic
1670C2#2025706011yescharacteristic
1671C2#2025754611yescharacteristic
1672C2#2025758411yescharacteristic
1673C2#2025765111yescharacteristic
1674C2#2025766611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2602C2
hypercenter#2602D47
hypocenterC47#36712
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#15689741C2semidirect
2. C2×#15689632C2semidirect
3. #20251679C2semidirect
4. #20251674C2semidirect
5. #20249935C2semidirect
6. #20249916C2semidirect
7. #20249881C2semidirect
8. #20249862C2semidirect
9. #20249836C2semidirect
10. #20249787C2semidirect
11. #20249776C2semidirect
12. #20249763C2semidirect
13. #20249700C2semidirect
14. #20249682C2semidirect
15. #20249670C2semidirect
16. #20249666C2semidirect
17. #20249632C2semidirect
18. #20249617C2semidirect
19. #20249611C2semidirect
20. #20249590C2semidirect
21. #20249312C2semidirect
22. #20249235C2semidirect
23. #20249063C2semidirect
24. #20248963C2semidirect
25. #20248951C2semidirect
26. #20248745C2semidirect
27. #20248564C2semidirect
28. #20247016C2semidirect
29. #20247000C2semidirect
30. #20246015C2semidirect
31. C47×#2602C2semidirect
35. C2×#13094024C22semidirect
36. C2×#13094023C22semidirect
38. C2×#13094017C22semidirect
40. C2×#13094011C22semidirect
48. C2×#13094003C22semidirect
54. C2×#13094001C22semidirect
59. C2×#13093996C22semidirect
63. C2×#13093989C22semidirect
68. C2×#13093980C22semidirect
69. #15689064C22semidirect
70. #15689062C22semidirect
73. #15689059C22semidirect
74. #15689058C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689055C22semidirect
78. #15689054C22semidirect
81. #15689052C22semidirect
85. #15689046C22semidirect
86. #15689046C22semidirect
87. #15689045C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
90. #15689043C22semidirect
91. #15689043C22semidirect
99. #15689039C22semidirect
100. #15689039C22semidirect
103. #15689038C22semidirect
105. #15689036C22semidirect
106. #15689036C22semidirect
109. #15689035C22semidirect
113. #15689029C22semidirect
117. #15689020C22semidirect
118. #15689018C22semidirect
125. #15689012C22semidirect
126. #15689007C22semidirect
127. #15689007C22semidirect
128. #15689007C22semidirect
129. #15689007C22semidirect
130. #15689006C22semidirect
131. #15689006C22semidirect
132. #15689005C22semidirect
141. #15689000C22semidirect
142. #15689000C22semidirect
145. #15688999C22semidirect
151. #15688997C22semidirect
152. #15688997C22semidirect
155. #15688995C22semidirect
156. #15688995C22semidirect
157. #15688995C22semidirect
160. #15688994C22semidirect
161. #15688990C22semidirect
162. #15688987C22semidirect
168. #15688981C22semidirect
169. #15688981C22semidirect
173. C2×C47⋊#95C22semidirect
174. C2×#123×C47C22semidirect
176. C47×#397C22semidirect
178. C47×#394C22semidirect
181. C47×#389C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C47×#387C22semidirect
188. C4×C22⋊C4×C47C22semidirect
248. C4×C22⋊D47D4semidirect
848. #2602D47semidirect
885. C2×#123C2×D47semidirect
923. #397C2×D47semidirect
945. #394C2×D47semidirect
963. #389C2×D47semidirect
972. #388C2×D47semidirect
973. #388C2×D47semidirect
981. #387C2×D47semidirect
1024. C4×C22⋊C4C2×D47semidirect
1026. C47#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#156897412
C2×#156896322
#202516792
#202516742
#202499352
#202499162
#202498812
#202498622
#202498362
#202497872
#202497762
#202497632
#202497002
#202496822
#202496702
#202496662
#202496322
#202496172
#202496112
#202495902
#202493122
#202492352
#202490632
#202489632
#202489512
#202487452
#202485642
#202470162
#202470002
#202460152
C47×#26022
#3671247