Finite Group Databasebeta

← #26423140

Subgroups — #26423140

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×#15689737C211yesmaximal, characteristic, complemented
2C2×#15689631C211yesmaximal, characteristic, complemented
3#20251679C211yesmaximal, characteristic, complemented
4#20251672C211yesmaximal, characteristic, complemented
5#20249942C211yesmaximal, characteristic, complemented
6#20249919C211yesmaximal, characteristic, complemented
7#20249890C211yesmaximal, characteristic, complemented
8#20249867C211yesmaximal, characteristic, complemented
9#20249840C211yesmaximal, characteristic, complemented
10#20249791C211yesmaximal, characteristic, complemented
11#20249782C211yesmaximal, characteristic, complemented
12#20249763C211yesmaximal, characteristic, complemented
13#20249702C211yesmaximal, characteristic, complemented
14#20249684C211yesmaximal, characteristic, complemented
15#20249674C211yesmaximal, characteristic, complemented
16#20249665C211yesmaximal, characteristic, complemented
17#20249617C211yesmaximal, characteristic, complemented
18#20249616C211yesmaximal, characteristic, complemented
19#20249591C211yesmaximal, characteristic, complemented
20#20249314C211yesmaximal, characteristic, complemented
21#20249236C211yesmaximal, characteristic, complemented
22#20249059C211yesmaximal, characteristic, complemented
23#20249003C211yesmaximal, characteristic, complemented
24#20248962C211yesmaximal, characteristic, complemented
25#20248955C211yesmaximal, characteristic, complemented
26#20248748C211yesmaximal, characteristic, complemented
27#20248566C211yesmaximal, characteristic, complemented
28#20247011C211yesmaximal, characteristic, complemented
29#20246994C211yesmaximal, characteristic, complemented
30#20246016C211yesmaximal, characteristic, complemented
31C47×#2672C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689737—28no—
35C2×#13094023C2211yescharacteristic, complemented
36C2×#13094022C2211yescharacteristic, complemented
37C2×#13094018C2211yescharacteristic
38C2×#13094017C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic
40C2×#13094010C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42#15689631—28no—
43C2×#13094007C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094005C2211yescharacteristic, complemented
47C2×#13094002C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094001C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic, complemented
51C2×#13094000C2211yescharacteristic
52C2×#13094000C2211yescharacteristic
53C2×#13093997C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic, complemented
57C2×#13093994C2211yescharacteristic
58C2×#13093992C2211yescharacteristic
59C2×#13093992C2211yescharacteristic
60C2×C4×Dic94C2211yescharacteristic, complemented
61C2×#13093986C2211yescharacteristic
62C2×#13093986C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×#13093980C2211yescharacteristic
66C2×#13093980C2211yescharacteristic, complemented
67#15689064C2211yescharacteristic, complemented
68#15689061C2211yescharacteristic, complemented
69#15689058C2211yescharacteristic
70#15689058C2211yescharacteristic
71#15689058C2211yescharacteristic, complemented
72#15689057C2211yescharacteristic, complemented
73#15689056C2211yescharacteristic, complemented
74#15689053C2211yescharacteristic, complemented
75#15689053C2211yescharacteristic, complemented
76#15689051C2211yescharacteristic
77#15689051C2211yescharacteristic, complemented
78#15689050C2211yescharacteristic
79#15689050C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic
81#15689049C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689043C2211yescharacteristic, complemented
86#15689043C2211yescharacteristic, complemented
87#15689043C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic
89#15689041C2211yescharacteristic
90#15689041C2211yescharacteristic
91#15689040C2211yescharacteristic
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic, complemented
94#15689039C2211yescharacteristic, complemented
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic, complemented
98#15689037C2211yescharacteristic
99#15689036C2211yescharacteristic
100#15689036C2211yescharacteristic
101#15689036C2211yescharacteristic, complemented
102#15689035C2211yescharacteristic
103#15689035C2211yescharacteristic, complemented
104#15689034C2211yescharacteristic, complemented
105#15689032C2211yescharacteristic
106#15689032C2211yescharacteristic
107#15689031C2211yescharacteristic
108#15689031C2211yescharacteristic
109#15689027C2211yescharacteristic, complemented
110#15689025C2211yescharacteristic
111#15689024C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689023C2211yescharacteristic
114#15689019C2211yescharacteristic, complemented
115#15689019C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic
117#15689016C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic
119#15689013C2211yescharacteristic
120#15689013C2211yescharacteristic
121#15689013C2211yescharacteristic, complemented
122#15689012C2211yescharacteristic
123#15689011C2211yescharacteristic
124#15689011C2211yescharacteristic, complemented
125#15689010C2211yescharacteristic, complemented
126#15689009C2211yescharacteristic, complemented
127#15689008C2211yescharacteristic, complemented
128#15689007C2211yescharacteristic, complemented
129#15689005C2211yescharacteristic, complemented
130#15689005C2211yescharacteristic, complemented
131#15689005C2211yescharacteristic, complemented
132#15689004C2211yescharacteristic, complemented
133#15689003C2211yescharacteristic
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic, complemented
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15689000C2211yescharacteristic, complemented
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic, complemented
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic
152#15688995C2211yescharacteristic
153#15688995C2211yescharacteristic
154#15688995C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic
157#15688994C2211yescharacteristic
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688990C2211yescharacteristic, complemented
162#15688988C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic
164#15688985C2211yescharacteristic
165#15688983C2211yescharacteristic
166#15688981C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic
168#15688980C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172C22⋊C4×Dic47C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×#124×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic
176C2×C22⋊Q8×C47C2211yescharacteristic
177C2×#121×C47C2211yescharacteristic
178C47×#399C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#395C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic
182C47×#394C2211yescharacteristic
183C47×#394C2211yescharacteristic, complemented
184C47×#389C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625352—24no—
191C2×#10625352—42no—
192C2×#10625352—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47—24no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217#13094023—42no—
218#13094022—24no—
219#13094018—24no—
220#13094017—24no—
221#13094010—24no—
222#13094010—24no—
223#13094010—42no—
224#13094007—24no—
225#13094006—24no—
226#13094006—42no—
227#13094005—24no—
228#13094002—24no—
229#13094002—24no—
230#13094001—24no—
231#13094001—24no—
232#13094000—24no—
233#13094000—42no—
234#13093997—24no—
235#13093997—24no—
236#13093996—24no—
237#13093996—42no—
238#13093994—24no—
239#13093992—24no—
240#13093992—42no—
241C4×Dic94—24no—
242#13093986—24no—
243#13093986—24no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4D418yescomplemented
246#13093980—24no—
247#13093980—24no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
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
346C22×Q8×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352#124×C47—24no—
353#123×C47—24no—
354C22⋊Q8×C47—42no—
355#121×C47—42no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×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×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×Q8×C47—41no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
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
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
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⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47C2×D414yes—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47C2×D414yes—
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474#10625352—416no—
475C2×D188—22no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—41no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
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×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—416no—
496C2×C4×D47C2×D414yes—
497C2×Dic94—22no—
498C2×Dic94—22no—
499C2×Dic94—22no—
500C2×Dic94—22no—
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—41no—
509C4⋊C4×C47—41no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47—41no—
512C4⋊C4×C47—41no—
513C4⋊C4×C47—41no—
514C4⋊C4×C47—41no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47C2×D414yes—
528C42×C47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
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—41no—
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)⋊C4—41no—
567(C2×D47)⋊C4C2×D414yes—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571C4⋊Dic47—41no—
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—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4C2×D414yes—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—41no—
595C4×Dic47—41no—
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×C47H(5,𝔽2)12yes—
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×D472−1+412yes—
647Q8×C47—82no—
648D4×C47—44no—
649D4×C47—82no—
650D4×C47—82no—
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—21no—
685C2×C4×C47—44no—
686C2×C4×C47—82no—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C22×D412yes—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C22⋊D47—82no—
694C22⋊D47—82no—
695C22⋊D47—82no—
696C2×Dic47—28no—
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—21no—
731C2×Dic47—21no—
732C2×Dic47—44no—
733C2×Dic47—44no—
734C2×Dic47—82no—
735C2×Dic47C22×D412yes—
736C2×Dic47C22×D412yes—
737C2×Dic47C22×D412yes—
738C2×Dic47H(5,𝔽2)12yes—
739D188—44no—
740D188—44no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—44no—
745C4×D47—44no—
746Dic94—44no—
747Dic94—44no—
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#2672D4711yescharacteristic, complemented
842#2671—471no—
843#2670—471no—
844#2668—471no—
845#2638—471no—
846#2630—471no—
847#2609—471no—
848#2602—471no—
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×#124C2×D4711yescharacteristic, complemented
880#525—948no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123—471no—
884C2×#123—471no—
885C2×#123C2×D4711yescharacteristic
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⋊Q8C2×D4711yescharacteristic
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#121—471no—
897C2×#121C2×D4711yescharacteristic
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×D4—471no—
906C2×#117—471no—
907C2×#117—471no—
908#400—471no—
909#400—471no—
910#399—471no—
911#399—471no—
912#399—471no—
913#399C2×D4711yescharacteristic, complemented
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#397—471no—
924#396—471no—
925#396—471no—
926#396—471no—
927#396C2×D4711yescharacteristic, complemented
928#395—471no—
929#395—471no—
930#395—471no—
931#395C2×D4711yescharacteristic, complemented
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#394C2×D4711yescharacteristic
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#392—471no—
956#391—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
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#388—471no—
972#388—471no—
973#388C2×D4711yescharacteristic
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387—471no—
981#387—471no—
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, complemented
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#380C2×D4711yescharacteristic, complemented
1021#379—471no—
1022#379—471no—
1023#379—471no—
1024C4×C22⋊C4—471no—
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×Q8C22×D4711yescharacteristic
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—24no—
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—42no—
1075C22⋊Q8—944no—
1076C22⋊Q8—944no—
1077C22⋊Q8—944no—
1078C22⋊Q8—944no—
1079C22⋊Q8—944no—
1080C22⋊Q8—1882no—
1081#121—42no—
1082#121—944no—
1083#121—944no—
1084#121—944no—
1085#121—1882no—
1086#120—944no—
1087#120—944no—
1088#120—1882no—
1089C4×Q8—944no—
1090C4×D4—478no—
1091C4×D4—944no—
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⋊C4C22×D4711yescharacteristic
1120C2×C4⋊C4C22×D4711yescharacteristic
1121C2×C4⋊C4C22×D4711yescharacteristic
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×C42—471no—
1185C2×C42—471no—
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#95—471no—
1216#95—471no—
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—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—942no—
1241C2×Q8—942no—
1242C2×Q8—942no—
1243C2×Q8—942no—
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—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—474no—
1296C22×C4—474no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—471no—
1305C22×C4—471no—
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—942no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—18816no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4—1881no—
1329C22×C4—1881no—
1330C22×C4—1881no—
1331C22×C4—1881no—
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—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—474no—
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—942no—
1366C4⋊C4—942no—
1367C4⋊C4—942no—
1368C4⋊C4—942no—
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—22no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—474no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
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—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
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⋊C4D4×D4714yes—
1428C42—22no—
1429C42—474no—
1430C42—942no—
1431C42—942no—
1432C42—942no—
1433C42—1881no—
1434C42—1881no—
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#1309406912yes—
1484C23C24×D4711yescharacteristic
1485Q8—82no—
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—82no—
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—1884no—
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
1632C22C2×#1309406911yescharacteristic
1633C222−1+4×D4711yescharacteristic
1634C22#1568995811yescharacteristic
1635C22#1568995911yescharacteristic
1636C22#1568996011yescharacteristic
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#2025671611yescharacteristic
1669C2#2025701611yescharacteristic
1670C2#2025706211yescharacteristic
1671C2#2025754711yescharacteristic
1672C2#2025758711yescharacteristic
1673C2#2025765311yescharacteristic
1674C2#2025767011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2672C2
hypercenter#2672D47
hypocenterC47#36712
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#15689737C2semidirect
2. C2×#15689631C2semidirect
3. #20251679C2semidirect
4. #20251672C2semidirect
5. #20249942C2semidirect
6. #20249919C2semidirect
7. #20249890C2semidirect
8. #20249867C2semidirect
9. #20249840C2semidirect
10. #20249791C2semidirect
11. #20249782C2semidirect
12. #20249763C2semidirect
13. #20249702C2semidirect
14. #20249684C2semidirect
15. #20249674C2semidirect
16. #20249665C2semidirect
17. #20249617C2semidirect
18. #20249616C2semidirect
19. #20249591C2semidirect
20. #20249314C2semidirect
21. #20249236C2semidirect
22. #20249059C2semidirect
23. #20249003C2semidirect
24. #20248962C2semidirect
25. #20248955C2semidirect
26. #20248748C2semidirect
27. #20248566C2semidirect
28. #20247011C2semidirect
29. #20246994C2semidirect
30. #20246016C2semidirect
31. C47×#2672C2semidirect
35. C2×#13094023C22semidirect
36. C2×#13094022C22semidirect
38. C2×#13094017C22semidirect
46. C2×#13094005C22semidirect
49. C2×#13094001C22semidirect
50. C2×#13094001C22semidirect
56. C2×#13093996C22semidirect
60. C2×C4×Dic94C22semidirect
66. C2×#13093980C22semidirect
67. #15689064C22semidirect
68. #15689061C22semidirect
71. #15689058C22semidirect
72. #15689057C22semidirect
73. #15689056C22semidirect
74. #15689053C22semidirect
75. #15689053C22semidirect
77. #15689051C22semidirect
79. #15689050C22semidirect
83. #15689046C22semidirect
84. #15689045C22semidirect
85. #15689043C22semidirect
86. #15689043C22semidirect
87. #15689043C22semidirect
93. #15689039C22semidirect
94. #15689039C22semidirect
97. #15689038C22semidirect
101. #15689036C22semidirect
103. #15689035C22semidirect
104. #15689034C22semidirect
109. #15689027C22semidirect
114. #15689019C22semidirect
115. #15689019C22semidirect
117. #15689016C22semidirect
121. #15689013C22semidirect
124. #15689011C22semidirect
125. #15689010C22semidirect
126. #15689009C22semidirect
127. #15689008C22semidirect
128. #15689007C22semidirect
129. #15689005C22semidirect
130. #15689005C22semidirect
131. #15689005C22semidirect
132. #15689004C22semidirect
138. #15689002C22semidirect
142. #15689000C22semidirect
145. #15688999C22semidirect
147. #15688998C22semidirect
150. #15688997C22semidirect
154. #15688995C22semidirect
159. #15688994C22semidirect
160. #15688994C22semidirect
161. #15688990C22semidirect
162. #15688988C22semidirect
166. #15688981C22semidirect
172. C22⋊C4×Dic47C22semidirect
173. C2×C47⋊#95C22semidirect
174. C2×#124×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#396C22semidirect
180. C47×#395C22semidirect
183. C47×#394C22semidirect
184. C47×#389C22semidirect
187. C47×#385C22semidirect
188. C47×#380C22semidirect
245. (C22⋊D47)⋊C4D4semidirect
841. #2672D47semidirect
879. C2×#124C2×D47semidirect
913. #399C2×D47semidirect
927. #396C2×D47semidirect
931. #395C2×D47semidirect
945. #394C2×D47semidirect
963. #389C2×D47semidirect
1011. #385C2×D47semidirect
1020. #380C2×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×#156897372
C2×#156896312
#202516792
#202516722
#202499422
#202499192
#202498902
#202498672
#202498402
#202497912
#202497822
#202497632
#202497022
#202496842
#202496742
#202496652
#202496172
#202496162
#202495912
#202493142
#202492362
#202490592
#202490032
#202489622
#202489552
#202487482
#202485662
#202470112
#202469942
#202460162
C47×#26722
#3671247