Finite Group Databasebeta

← #26423330

Subgroups — #26423330

Order 12032.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689632C211yesmaximal, characteristic, complemented
2#20251677C211yesmaximal, characteristic, complemented
3#20251672C211yesmaximal, characteristic, complemented
4#20250085C211yesmaximal, characteristic, complemented
5#20250070C211yesmaximal, characteristic, complemented
6#20250040C211yesmaximal, characteristic, complemented
7#20250025C211yesmaximal, characteristic, complemented
8#20249995C211yesmaximal, characteristic, complemented
9#20249956C211yesmaximal, characteristic, complemented
10#20249947C211yesmaximal, characteristic, complemented
11#20249773C211yesmaximal, characteristic, complemented
12#20249758C211yesmaximal, characteristic, complemented
13#20249749C211yesmaximal, characteristic, complemented
14#20249743C211yesmaximal, characteristic, complemented
15#20249736C211yesmaximal, characteristic, complemented
16#20249727C211yesmaximal, characteristic, complemented
17#20249725C211yesmaximal, characteristic, complemented
18#20249716C211yesmaximal, characteristic, complemented
19#20249707C211yesmaximal, characteristic, complemented
20#20249306C211yesmaximal, characteristic, complemented
21#20249227C211yesmaximal, characteristic, complemented
22#20249088C211yesmaximal, characteristic, complemented
23#20249017C211yesmaximal, characteristic, complemented
24#20248987C211yesmaximal, characteristic, complemented
25#20248970C211yesmaximal, characteristic, complemented
26#20248735C211yesmaximal, characteristic, complemented
27#20248589C211yesmaximal, characteristic, complemented
28#20246733C211yesmaximal, characteristic, complemented
29#20246723C211yesmaximal, characteristic, complemented
30#20246031C211yesmaximal, characteristic, complemented
31C2×C47×#539C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689632—28no—
35C2×#13094009C2211yescharacteristic
36C2×#13094007C2211yescharacteristic
37C2×#13094007C2211yescharacteristic, complemented
38C2×#13094006C2211yescharacteristic
39C2×#13094005C2211yescharacteristic
40C2×#13094003C2211yescharacteristic, complemented
41C2×#13094002C2211yescharacteristic
42C2×#13094001C2211yescharacteristic
43C2×#13094000C2211yescharacteristic
44C2×#13094000C2211yescharacteristic
45C2×#13093998C2211yescharacteristic
46C2×#13093997C2211yescharacteristic
47C2×#13093996C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093992C2211yescharacteristic
50C2×#13093992C2211yescharacteristic
51C2×C4×D188C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×#13093981C2211yescharacteristic
55#15689061C2211yescharacteristic, complemented
56#15689058C2211yescharacteristic
57#15689056C2211yescharacteristic, complemented
58#15689056C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689054C2211yescharacteristic, complemented
62#15689054C2211yescharacteristic, complemented
63#15689053C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic
65#15689051C2211yescharacteristic
66#15689051C2211yescharacteristic
67#15689051C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic
69#15689049C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic
74#15689045C2211yescharacteristic
75#15689045C2211yescharacteristic
76#15689045C2211yescharacteristic
77#15689045C2211yescharacteristic
78#15689045C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689043C2211yescharacteristic, complemented
82#15689043C2211yescharacteristic, complemented
83#15689042C2211yescharacteristic, complemented
84#15689040C2211yescharacteristic
85#15689040C2211yescharacteristic
86#15689040C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689038C2211yescharacteristic
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic, complemented
95#15689037C2211yescharacteristic
96#15689037C2211yescharacteristic, complemented
97#15689034C2211yescharacteristic, complemented
98#15689032C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic, complemented
103#15689029C2211yescharacteristic, complemented
104#15689026C2211yescharacteristic
105#15689026C2211yescharacteristic
106#15689025C2211yescharacteristic
107#15689024C2211yescharacteristic
108#15689024C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic, complemented
112#15689022C2211yescharacteristic, complemented
113#15689022C2211yescharacteristic, complemented
114#15689018C2211yescharacteristic, complemented
115#15689018C2211yescharacteristic, complemented
116#15689018C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic, complemented
118#15689016C2211yescharacteristic
119#15689016C2211yescharacteristic
120#15689016C2211yescharacteristic, complemented
121#15689016C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic
123#15689013C2211yescharacteristic
124#15689013C2211yescharacteristic
125#15689013C2211yescharacteristic
126#15689013C2211yescharacteristic
127#15689013C2211yescharacteristic, complemented
128#15689011C2211yescharacteristic, complemented
129#15689007C2211yescharacteristic, complemented
130#15689004C2211yescharacteristic, complemented
131#15689004C2211yescharacteristic, complemented
132#15689004C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic, complemented
143#15688996C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic, complemented
146#15688995C2211yescharacteristic
147#15688995C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic, complemented
157#15688994C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688992C2211yescharacteristic, complemented
160#15688988C2211yescharacteristic, complemented
161#15688986C2211yescharacteristic
162#15688986C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic
164#15688983C2211yescharacteristic
165#15688983C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic
167#15688980C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171C4×C4⋊Dic47C2211yescharacteristic, complemented
172#15688969C2211yescharacteristic, complemented
173C47×#539—28no—
174C2×#126×C47C2211yescharacteristic
175C2×#126×C47C2211yescharacteristic, complemented
176C2×#125×C47C2211yescharacteristic, complemented
177C2×#125×C47C2211yescharacteristic, complemented
178C2×#123×C47C2211yescharacteristic
179C2×#123×C47C2211yescharacteristic
180C2×#123×C47C2211yescharacteristic
181C2×#123×C47C2211yescharacteristic, complemented
182C2×C22⋊Q8×C47C2211yescharacteristic
183C2×C22⋊Q8×C47C2211yescharacteristic, complemented
184C2×C22⋊Q8×C47C2211yescharacteristic, complemented
185C2×#121×C47C2211yescharacteristic
186C2×C4×D4×C47C2211yescharacteristic
187C2×C4×D4×C47C2211yescharacteristic, complemented
188C22×C4⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094009—24no—
213#13094007—42no—
214#13094007—42no—
215#13094006—24no—
216#13094005—42no—
217#13094003—42no—
218#13094002—24no—
219#13094001—24no—
220#13094000—42no—
221#13094000—42no—
222#13093998—42no—
223#13093997—24no—
224#13093996—24no—
225#13093994—24no—
226#13093992—24no—
227#13093992—42no—
228C4×D188—24no—
229C4×C22⋊D47—24no—
230C4×C22⋊D47—24no—
231#13093981—24no—
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
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
335C22×Q8×C47C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344#126×C47—24no—
345#126×C47—24no—
346#125×C47—24no—
347#125×C47—24no—
348#123×C47—24no—
349#123×C47—24no—
350#123×C47—24no—
351#123×C47—24no—
352C22⋊Q8×C47—24no—
353C22⋊Q8×C47—24no—
354C22⋊Q8×C47—24no—
355#121×C47—24no—
356C4×D4×C47—24no—
357C4×D4×C47D418yescomplemented
358C2×C4⋊C4×C47—24no—
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×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C42×C47C2311yescharacteristic
384C2×C42×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—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47C2×D414yes—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47C2×D414yes—
424C22×C4×C47C2×D414yes—
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—41no—
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#10625350—416no—
475C2×D188—22no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—22no—
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—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—416no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×Dic94—22no—
498C2×Dic94—22no—
499C2×Dic94—41no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—22no—
506C4⋊C4×C47—22no—
507C4⋊C4×C47—22no—
508C4⋊C4×C47—22no—
509C4⋊C4×C47—22no—
510C4⋊C4×C47—22no—
511C4⋊C4×C47—22no—
512C4⋊C4×C47—22no—
513C4⋊C4×C47C2×D414yes—
514C22⋊C4×C47—22no—
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×C47C2×D414yes—
523C22⋊C4×C47C2×D414yes—
524C42×C47—22no—
525C42×C47C2×D414yes—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
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—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)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568C4⋊Dic47—22no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571C4⋊Dic47—41no—
572C4⋊Dic47—41no—
573C4⋊Dic47—41no—
574C4⋊Dic47—41no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—41no—
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—
592C4×Dic47—22no—
593C4×Dic47—41no—
594C4×Dic47—41no—
595C4×Dic47—41no—
596C4×Dic47—41no—
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×C47C22×D412yes—
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×D47H(5,𝔽2)12yes—
646C22×D472−1+412yes—
647Q8×C47—82no—
648D4×C47—44no—
649D4×C47—44no—
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—44no—
683C2×C4×C47—44no—
684C2×C4×C47—44no—
685C2×C4×C47—82no—
686C2×C4×C47—82no—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C22×D412yes—
689C2×C4×C47C22×D412yes—
690C2×C4×C47C22×D412yes—
691C2×C4×C47C22×D412yes—
692C22⋊D47—44no—
693C22⋊D47—44no—
694C22⋊D47—44no—
695C22⋊D47—44no—
696C22⋊D47—82no—
697C22⋊D47—82no—
698C22⋊D47—82no—
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—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—44no—
738C2×Dic47H(5,𝔽2)12yes—
739D188—44no—
740D188—44no—
741C4×D47—28no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—44no—
745C4×D47—44no—
746Dic94—44no—
747#36723—471nomaximal, Sylow
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—41no—
755C22×C47—41no—
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×C47C23×D411yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×2−1+411yescharacteristic
773C22×C47#58511yescharacteristic
774C22×C47#58511yescharacteristic
775C22×C47#58511yescharacteristic
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—416no—
783C2×D47—41no—
784C2×D47—41no—
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—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—22no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810Dic47—22no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823C2×#539D4711yescharacteristic, complemented
824C2×#525—471no—
825#2849—471no—
826#2848—471no—
827#2707—471no—
828#2706—471no—
829#2704—471no—
830#2703—471no—
831#2701—471no—
832#2698—471no—
833#2697—471no—
834#2685—471no—
835#2683—471no—
836#2682—471no—
837#2681—471no—
838#2681—471no—
839#2680—471no—
840#2680—471no—
841#2678—471no—
842#2678—471no—
843#2638—471no—
844#2630—471no—
845#2611—471no—
846#2603—471no—
847#2601—471no—
848#2600—471no—
849#2579—471no—
850#2566—471no—
851#2407—471no—
852#2406—471no—
853#2319—471no—
854C2×C47—42no—
855C2×C47—42no—
856C2×C47—81no—
857C2×C47#344911yescharacteristic
858C2×C47#348411yescharacteristic
859C2×C47#348911yescharacteristic
860C2×C47#353311yescharacteristic
861C2×C47#353511yescharacteristic
862C2×C47#353911yescharacteristic
863C2×C47#354111yescharacteristic
864D47—42no—
865D47—42no—
866D47—81no—
867C22×#41—471no—
868C24×C4—471no—
869#539—28no—
870C2×#126C2×D4711yescharacteristic
871C2×#126C2×D4711yescharacteristic, complemented
872C2×#125C2×D4711yescharacteristic, complemented
873C2×#125C2×D4711yescharacteristic, complemented
874#525—948no—
875C2×#123—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123C2×D4711yescharacteristic
881C2×#123C2×D4711yescharacteristic
882C2×#123C2×D4711yescharacteristic
883C2×#123C2×D4711yescharacteristic, complemented
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8C2×D4711yescharacteristic
890C2×C22⋊Q8C2×D4711yescharacteristic, complemented
891C2×C22⋊Q8C2×D4711yescharacteristic, complemented
892C2×#121—471no—
893C2×#121—471no—
894C2×#121—471no—
895C2×#121C2×D4711yescharacteristic
896C2×#120—471no—
897C2×#120—471no—
898C2×#120—471no—
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C2×C4×D4C2×D4711yescharacteristic
903C2×C4×D4C2×D4711yescharacteristic, complemented
904C2×#117—471no—
905C22×C4⋊C4C2×D4711yescharacteristic, complemented
906#400—471no—
907#399—471no—
908#398—471no—
909#398—471no—
910#398—471no—
911#398—471no—
912#398—471no—
913#398—471no—
914#398—471no—
915#397—471no—
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#397—471no—
921#397—471no—
922#396—471no—
923#396—471no—
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#396—471no—
929#396—471no—
930#396—471no—
931#396—471no—
932#395—471no—
933#395—471no—
934#395—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#394—471no—
945#394—471no—
946#394—471no—
947#394—471no—
948#393—471no—
949#392—471no—
950#392—471no—
951#392—471no—
952#392—471no—
953#392—471no—
954#391—471no—
955#390—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#390—471no—
962#390—471no—
963#389—471no—
964#389—471no—
965#389—471no—
966#389—471no—
967#389—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—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#385—471no—
995#385—471no—
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#384—471no—
1011#382—471no—
1012#381—471no—
1013#381—471no—
1014#381—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#379—471no—
1020#379—471no—
1021#379—471no—
1022C4×C4⋊C4—471no—
1023#376—471no—
1024C47#3672311yescharacteristic, complemented, Sylow
1025C25—471no—
1026C2×#41—944no—
1027C2×#41—1882no—
1028C2×#41—1882no—
1029C22×Q8—471no—
1030C22×Q8C22×D4711yescharacteristic
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4C22×D4711yescharacteristic
1041C22×D4C22×D4711yescharacteristic
1042C22×D4C22×D4711yescharacteristic
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—944no—
1050C23×C4—1882no—
1051C23×C4—1882no—
1052C23×C4C22×D4711yescharacteristic
1053C23×C4C22×D4711yescharacteristic
1054C23×C4C22×D4711yescharacteristic
1055C23×C4C22×D4711yescharacteristic
1056C23×C4C22×D4711yescharacteristic
1057#126—24no—
1058#126—24no—
1059#125—24no—
1060#125—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—24no—
1065#123—944no—
1066#123—944no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—24no—
1071C22⋊Q8—24no—
1072C22⋊Q8—24no—
1073C22⋊Q8—944no—
1074C22⋊Q8—944no—
1075C22⋊Q8—1882no—
1076C22⋊Q8—1882no—
1077C22⋊Q8—1882no—
1078#121—24no—
1079#121—944no—
1080#121—944no—
1081#121—1882no—
1082#120—944no—
1083#120—944no—
1084#120—1882no—
1085C4×D4—24no—
1086C4×D4—944no—
1087C4×D4—944no—
1088C4×D4—944no—
1089C4×D4C22⋊D4718yescomplemented
1090#117—944no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1117C2×C4⋊C4C22×D4711yescharacteristic
1118C2×C4⋊C4C22×D4711yescharacteristic
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×C4⋊C4C22×D4711yescharacteristic
1129C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
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×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42—471no—
1187C2×C42C22×D4711yescharacteristic
1188C2×C42C22×D4711yescharacteristic
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#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221C24—471no—
1222C24—471no—
1223C24—471no—
1224C24—942no—
1225C24—942no—
1226C24—942no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
1230C24—1881no—
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C24C23×D4711yescharacteristic
1234#41—18816no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×Q8—942no—
1239C2×Q8—942no—
1240C2×Q8—1881no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4C2×C22⋊D4714yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
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—471no—
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—942no—
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—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—18816no—
1321C22×C4—1881no—
1322C22×C4C2×C22⋊D4714yes—
1323C22×C4C2×C22⋊D4714yes—
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C4⋊C4—1881no—
1363C4⋊C4—1881no—
1364C4⋊C4—1881no—
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⋊C4C2×C22⋊D4714yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C22⋊C4—1881no—
1403C22⋊C4—1881no—
1404C22⋊C4—1881no—
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⋊C4C2×C22⋊D4714yes—
1425C22⋊C4C2×C22⋊D4714yes—
1426C42—22no—
1427C42—942no—
1428C42—1881no—
1429C42—1881no—
1430C42—1881no—
1431C42—1881no—
1432C42C2×C22⋊D4714yes—
1433C23—21no—
1434C23—21no—
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—472no—
1453C23—472no—
1454C23—941no—
1455C23—941no—
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—1884no—
1474C23—1884no—
1475C23—1884no—
1476C23—1884no—
1477C23—1884no—
1478C23—1884no—
1479C23—1884no—
1480C23C22×C22⋊D4712yes—
1481C23C22×C22⋊D4712yes—
1482C23C24×D4711yescharacteristic
1483Q8—82no—
1484Q8—1884no—
1485D4—44no—
1486D4—44no—
1487D4—82no—
1488D4—3762no—
1489D4—3762no—
1490D4—3762no—
1491D4—1884no—
1492D4—1884no—
1493D4—1884no—
1494D4—1884no—
1495D4—1884no—
1496D4—1884no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
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—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—472no—
1534C2×C4—948no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
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—1884no—
1574C2×C4—1884no—
1575C2×C4—1884no—
1576C2×C4—1884no—
1577C2×C4—1884no—
1578C2×C4C22×C22⋊D4712yes—
1579C2×C4C22×C22⋊D4712yes—
1580C2×C4C22×C22⋊D4712yes—
1581C2×C4C22×C22⋊D4712yes—
1582C2×C4C22×C22⋊D4712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—18816no—
1611C22—1881no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22C23×C22⋊D4711yescharacteristic
1627C22H(5,𝔽2)×D4711yescharacteristic
1628C22H(5,𝔽2)×D4711yescharacteristic
1629C222−1+4×D4711yescharacteristic
1630C22#1568995911yescharacteristic
1631C22#1568995911yescharacteristic
1632C22#1568996011yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—942no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—3761no—
1662C2—1882no—
1663C2—1882no—
1664C2#2025671711yescharacteristic
1665C2#2025701911yescharacteristic
1666C2#2025706111yescharacteristic
1667C2#2025756311yescharacteristic
1668C2#2025759611yescharacteristic
1669C2#2025764611yescharacteristic
1670C2#2025768011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#539C2
hypercenterC2×#539D47
hypocenterC47#36723
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×#15689632C2semidirect
2. #20251677C2semidirect
3. #20251672C2semidirect
4. #20250085C2semidirect
5. #20250070C2semidirect
6. #20250040C2semidirect
7. #20250025C2semidirect
8. #20249995C2semidirect
9. #20249956C2semidirect
10. #20249947C2semidirect
11. #20249773C2semidirect
12. #20249758C2semidirect
13. #20249749C2semidirect
14. #20249743C2semidirect
15. #20249736C2semidirect
16. #20249727C2semidirect
17. #20249725C2semidirect
18. #20249716C2semidirect
19. #20249707C2semidirect
20. #20249306C2semidirect
21. #20249227C2semidirect
22. #20249088C2semidirect
23. #20249017C2semidirect
24. #20248987C2semidirect
25. #20248970C2semidirect
26. #20248735C2semidirect
27. #20248589C2semidirect
28. #20246733C2semidirect
29. #20246723C2semidirect
30. #20246031C2semidirect
31. C2×C47×#539C2semidirect
37. C2×#13094007C22semidirect
40. C2×#13094003C22semidirect
55. #15689061C22semidirect
57. #15689056C22semidirect
58. #15689056C22semidirect
59. #15689056C22semidirect
60. #15689056C22semidirect
61. #15689054C22semidirect
62. #15689054C22semidirect
63. #15689053C22semidirect
67. #15689051C22semidirect
69. #15689049C22semidirect
70. #15689048C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
78. #15689045C22semidirect
79. #15689045C22semidirect
80. #15689045C22semidirect
81. #15689043C22semidirect
82. #15689043C22semidirect
83. #15689042C22semidirect
88. #15689039C22semidirect
94. #15689038C22semidirect
96. #15689037C22semidirect
97. #15689034C22semidirect
102. #15689031C22semidirect
103. #15689029C22semidirect
111. #15689023C22semidirect
112. #15689022C22semidirect
113. #15689022C22semidirect
114. #15689018C22semidirect
115. #15689018C22semidirect
116. #15689018C22semidirect
117. #15689017C22semidirect
120. #15689016C22semidirect
121. #15689016C22semidirect
127. #15689013C22semidirect
128. #15689011C22semidirect
129. #15689007C22semidirect
130. #15689004C22semidirect
131. #15689004C22semidirect
132. #15689004C22semidirect
137. #15689002C22semidirect
142. #15688999C22semidirect
143. #15688996C22semidirect
144. #15688996C22semidirect
145. #15688996C22semidirect
156. #15688994C22semidirect
157. #15688994C22semidirect
158. #15688994C22semidirect
159. #15688992C22semidirect
160. #15688988C22semidirect
162. #15688986C22semidirect
165. #15688983C22semidirect
171. C4×C4⋊Dic47C22semidirect
172. #15688969C22semidirect
175. C2×#126×C47C22semidirect
176. C2×#125×C47C22semidirect
177. C2×#125×C47C22semidirect
181. C2×#123×C47C22semidirect
183. C2×C22⋊Q8×C47C22semidirect
184. C2×C22⋊Q8×C47C22semidirect
187. C2×C4×D4×C47C22semidirect
188. C22×C4⋊C4×C47C22semidirect
357. C4×D4×C47D4semidirect
823. C2×#539D47semidirect
871. C2×#126C2×D47semidirect
872. C2×#125C2×D47semidirect
873. C2×#125C2×D47semidirect
883. C2×#123C2×D47semidirect
890. C2×C22⋊Q8C2×D47semidirect
891. C2×C22⋊Q8C2×D47semidirect
903. C2×C4×D4C2×D47semidirect
905. C22×C4⋊C4C2×D47semidirect
1024. C47#36723semidirect
1089. C4×D4C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896322
#202516772
#202516722
#202500852
#202500702
#202500402
#202500252
#202499952
#202499562
#202499472
#202497732
#202497582
#202497492
#202497432
#202497362
#202497272
#202497252
#202497162
#202497072
#202493062
#202492272
#202490882
#202490172
#202489872
#202489702
#202487352
#202485892
#202467332
#202467232
#202460312
C2×C47×#5392
#3672347