Finite Group Databasebeta

← #26423276

Subgroups — #26423276

Order 12032.

2450 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689748C211yesmaximal, characteristic, complemented
2C2×#123×D47C211yesmaximal, characteristic
3#20251676C211yesmaximal, characteristic, complemented
4#20251674C211yesmaximal, characteristic, complemented
5#20249814C211yesmaximal, characteristic, complemented
6#20249813C211yesmaximal, characteristic, complemented
7#20249810C211yesmaximal, characteristic, complemented
8#20249809C211yesmaximal, characteristic, complemented
9#20249808C211yesmaximal, characteristic, complemented
10#20249805C211yesmaximal, characteristic, complemented
11#20249804C211yesmaximal, characteristic, complemented
12#20249731C211yesmaximal, characteristic, complemented
13#20249730C211yesmaximal, characteristic, complemented
14#20249729C211yesmaximal, characteristic, complemented
15#20249729C211yesmaximal, characteristic, complemented
16#20249726C211yesmaximal, characteristic, complemented
17#20249726C211yesmaximal, characteristic, complemented
18#20249725C211yesmaximal, characteristic, complemented
19#20249724C211yesmaximal, characteristic, complemented
20#20249206C211yesmaximal, characteristic, complemented
21#20249202C211yesmaximal, characteristic, complemented
22#20248544C211yesmaximal, characteristic, complemented
23#20248542C211yesmaximal, characteristic, complemented
24#20247865C211yesmaximal, characteristic, complemented
25#20247861C211yesmaximal, characteristic, complemented
26#20247667C211yesmaximal, characteristic, complemented
27#20247665C211yesmaximal, characteristic, complemented
28#20246714C211yesmaximal, characteristic
29#20246710C211yesmaximal, characteristic
30#20245982C211yesmaximal, characteristic, complemented
31C47×#2687C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689748—28no—
35C2×#13094009C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094008C2211yescharacteristic
39C2×#13094008C2211yescharacteristic
40C2×#13094007C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094005C2211yescharacteristic
45C2×#13094005C2211yescharacteristic
46#123×D47—28no—
47C2×#13094004C2211yescharacteristic
48C2×#13094004C2211yescharacteristic, complemented
49C2×#13094004C2211yescharacteristic, complemented
50C2×#13094003C2211yescharacteristic, complemented
51C2×#13094003C2211yescharacteristic, complemented
52C2×#13094002C2211yescharacteristic
53C2×#13094002C2211yescharacteristic
54C2×#13094002C2211yescharacteristic, complemented
55C2×#13094002C2211yescharacteristic, complemented
56C2×#13094002C2211yescharacteristic, complemented
57C2×#13094001C2211yescharacteristic, complemented
58C2×#13094001C2211yescharacteristic, complemented
59C2×#13094001C2211yescharacteristic, complemented
60C2×#13094000C2211yescharacteristic
61C2×#13094000C2211yescharacteristic, complemented
62C2×C4⋊C4×D47C2211yescharacteristic
63C2×C4⋊C4×D47C2211yescharacteristic
64C22×(C2×D47)⋊C4C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689064C2211yescharacteristic, complemented
71#15689061C2211yescharacteristic, complemented
72#15689057C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689057C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689055C2211yescharacteristic, complemented
81#15689055C2211yescharacteristic, complemented
82#15689055C2211yescharacteristic, complemented
83#15689054C2211yescharacteristic, complemented
84#15689053C2211yescharacteristic, complemented
85#15689053C2211yescharacteristic, complemented
86#15689052C2211yescharacteristic, complemented
87#15689052C2211yescharacteristic, complemented
88#15689052C2211yescharacteristic, complemented
89#15689051C2211yescharacteristic, complemented
90#15689051C2211yescharacteristic, complemented
91#15689051C2211yescharacteristic, complemented
92#15689050C2211yescharacteristic, complemented
93#15689050C2211yescharacteristic, complemented
94#15689050C2211yescharacteristic, complemented
95#15689048C2211yescharacteristic, complemented
96#15689048C2211yescharacteristic, complemented
97#15689044C2211yescharacteristic, complemented
98#15689044C2211yescharacteristic, complemented
99#15689043C2211yescharacteristic, complemented
100#15689043C2211yescharacteristic, complemented
101#15689041C2211yescharacteristic
102#15689041C2211yescharacteristic
103#15689039C2211yescharacteristic
104#15689039C2211yescharacteristic
105#15689039C2211yescharacteristic
106#15689038C2211yescharacteristic
107#15689037C2211yescharacteristic
108#15689036C2211yescharacteristic, complemented
109#15689035C2211yescharacteristic, complemented
110#15689034C2211yescharacteristic, complemented
111#15689030C2211yescharacteristic, complemented
112#15689027C2211yescharacteristic, complemented
113#15689027C2211yescharacteristic, complemented
114#15689017C2211yescharacteristic, complemented
115#15689017C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689013C2211yescharacteristic, complemented
122#15689012C2211yescharacteristic, complemented
123#15689012C2211yescharacteristic, complemented
124#15689012C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic, complemented
127#15689011C2211yescharacteristic, complemented
128#15689002C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688998C2211yescharacteristic, complemented
132#15688998C2211yescharacteristic, complemented
133#15688998C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic, complemented
145#15688995C2211yescharacteristic, complemented
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688993C2211yescharacteristic, complemented
151#15688992C2211yescharacteristic, complemented
152#15688992C2211yescharacteristic, complemented
153#15688992C2211yescharacteristic, complemented
154#15688986C2211yescharacteristic, complemented
155#15688985C2211yescharacteristic
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688985C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic
162#15688982C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic, complemented
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172C4×(C2×D47)⋊C4C2211yescharacteristic
173#15688970C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic
181C47×#393C2211yescharacteristic, complemented
182C47×#391C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#385C2211yescharacteristic, complemented
187C47×#381C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C2×D4×D47—24no—
198C2×D4×D47—42no—
199C2×D4×D47—42no—
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—24no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214#13094009—24no—
215#13094009—24no—
216#13094009—42no—
217#13094008—24no—
218#13094008—42no—
219#13094007—24no—
220#13094006—24no—
221#13094006—24no—
222#13094006—42no—
223#13094005—24no—
224#13094005—42no—
225#13094004—24no—
226#13094004—24no—
227#13094004—42no—
228#13094003—24no—
229#13094003—42no—
230#13094002—24no—
231#13094002—24no—
232#13094002—24no—
233#13094002—24no—
234#13094002—42no—
235#13094001—24no—
236#13094001—24no—
237#13094001—42no—
238#13094000—24no—
239#13094000—24no—
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
272C4⋊C4×D47—24no—
273C4⋊C4×D47—24no—
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×C22⋊Dic47C2311yescharacteristic
284C2×(C2×D47)⋊C4—24no—
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×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C22⋊C4×D47—24no—
314C22⋊C4×D47—24no—
315C22⋊C4×D47—24no—
316C22⋊C4×D47D418yes—
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×Q8×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352#123×C47—24no—
353C22⋊Q8×C47—24no—
354C2×C4⋊C4×C47C2311yescharacteristic
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×C4⋊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×C42×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×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
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—22no—
393C23×D47—22no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47C2×D414yes—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×Q8×C47—22no—
405C2×Q8×C47—41no—
406C2×Q8×C47—41no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—41no—
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×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
428C22×C4×C47C2411yescharacteristic
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454D4×D47—416no—
455C2×D188—22no—
456C2×D188—22no—
457C2×D188—41no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—416no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47C2×D414yes—
485C2×C4×D47C2×D414yes—
486C2×Dic94—22no—
487C2×Dic94—22no—
488C2×Dic94—22no—
489C2×Dic94—41no—
490C2×Dic94—41no—
491C2×Dic94—41no—
492C2×Dic94—41no—
493C2×Dic94—41no—
494C2×Dic94—41no—
495C4⋊C4×C47—22no—
496C4⋊C4×C47—22no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47C2×D414yes—
513C42×C47—41no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47C2×D414yes—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4C2×D414yes—
551(C2×D47)⋊C4C2×D414yes—
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—41no—
558C4⋊Dic47—41no—
559C4⋊Dic47—41no—
560C4⋊Dic47—41no—
561C4⋊Dic47—41no—
562C4⋊Dic47—41no—
563C4⋊Dic47—41no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580Dic47⋊C4—41no—
581Dic47⋊C4—41no—
582Dic47⋊C4—41no—
583Dic47⋊C4—41no—
584C4×Dic47—41no—
585C4×Dic47—41no—
586C4×Dic47—41no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47C22×D412yes—
600C23×C47H(5,𝔽2)12yes—
601C23×C47C2511yescharacteristic
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—28no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—28no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47—82no—
629C22×D47—82no—
630C22×D47—82no—
631C22×D47—82no—
632C22×D47C22×D412yes—
633C22×D47C22×D412yes—
634C22×D47H(5,𝔽2)12yes—
635C22×D472−1+412yes—
636C22×D472−1+412yes—
637Q8×C47—82no—
638D4×C47—44no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
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—44no—
677C2×C4×C47—82no—
678C2×C4×C47C22×D412yes—
679C2×C4×C47C22×D412yes—
680C22⋊D47—44no—
681C22⋊D47—44no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
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—44no—
720C2×Dic47—82no—
721C2×Dic47C22×D412yes—
722C2×Dic47C22×D412yes—
723D188—44no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47—44no—
728C4×D47—44no—
729C4×D47—44no—
730C4×D47—44no—
731C4×D47—82no—
732C4×D47—82no—
733Dic94—82no—
734Dic94—82no—
735Dic94—82no—
736#36720—471nomaximal, Sylow
737C22×C47—22no—
738C22×C47—22no—
739C22×C47—22no—
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47C23×D411yescharacteristic
752C22×C47C2×H(5,𝔽2)11yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×2−1+411yescharacteristic
755C22×C47C2×2−1+411yescharacteristic
756C22×C47#58511yescharacteristic
757C22×C47#58511yescharacteristic
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—416no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—88no—
780C2×D47#53614yes—
781C4×C47—22no—
782C4×C47—22no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793C4×C47—41no—
794Dic47—22no—
795Dic47—22no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806Dic47—41no—
807C2×#543—471no—
808C22×#123—471no—
809#2848—471no—
810#2848—471no—
811#2687—471no—
812#2687—471no—
813#2687—471no—
814#2687—471no—
815#2687—471no—
816#2687—471no—
817#2687—471no—
818#2687D4711yescharacteristic, complemented
819#2680—471no—
820#2680—471no—
821#2680—471no—
822#2680—471no—
823#2680—471no—
824#2680—471no—
825#2680—471no—
826#2680—471no—
827#2627—471no—
828#2627—471no—
829#2561—471no—
830#2561—471no—
831#2502—471no—
832#2502—471no—
833#2483—471no—
834#2483—471no—
835#2405—471no—
836#2405—471no—
837#2312—471no—
838C2×C47—42no—
839C2×C47—42no—
840C2×C47C2×#53611yescharacteristic
841C2×C47#348411yescharacteristic
842C2×C47#348511yescharacteristic
843C2×C47#353511yescharacteristic
844C2×C47#353511yescharacteristic
845C2×C47#353511yescharacteristic
846C2×C47#353511yescharacteristic
847D47—24no—
848D47—42no—
849D47—42no—
850C23×D4—471no—
851C24×C4—471no—
852#543—948no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×#123—471no—
859C2×#123—471no—
860C2×#123—471no—
861C2×#123—471no—
862C2×#123—471no—
863C2×#123—471no—
864C2×#123—948no—
865C2×#123C2×D4711yescharacteristic
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8—471no—
871C2×C22⋊Q8—471no—
872C2×C22⋊Q8—471no—
873C2×C22⋊Q8—471no—
874C2×C22⋊Q8—471no—
875C2×C22⋊Q8—471no—
876C2×C22⋊Q8—471no—
877C2×C22⋊Q8—471no—
878C2×C22⋊Q8—471no—
879C2×C22⋊Q8—471no—
880C2×C22⋊Q8—471no—
881C2×C22⋊Q8C2×D4711yescharacteristic, complemented
882C22×C4⋊C4—471no—
883C22×C4⋊C4—471no—
884C22×C22⋊C4—471no—
885C22×C22⋊C4—471no—
886C22×C22⋊C4—471no—
887C22×C22⋊C4—471no—
888C22×C22⋊C4—471no—
889#400—471no—
890#400—471no—
891#400—471no—
892#400C2×D4711yescharacteristic, complemented
893#398—471no—
894#398—471no—
895#398—471no—
896#398—471no—
897#398—471no—
898#398—471no—
899#398—471no—
900#398—471no—
901#398—471no—
902#398—471no—
903#398—471no—
904#398—471no—
905#398—471no—
906#398—471no—
907#398C2×D4711yescharacteristic, complemented
908#398C2×D4711yescharacteristic, complemented
909#397—471no—
910#397—471no—
911#397—471no—
912#397—471no—
913#397—471no—
914#397—471no—
915#397—471no—
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#397C2×D4711yescharacteristic, complemented
921#395—471no—
922#395—471no—
923#395—471no—
924#395—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394C2×D4711yescharacteristic
933#393—471no—
934#393—471no—
935#393—471no—
936#393C2×D4711yescharacteristic, complemented
937#391—471no—
938#391—471no—
939#391—471no—
940#391C2×D4711yescharacteristic, complemented
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388C2×D4711yescharacteristic, complemented
956#388C2×D4711yescharacteristic, complemented
957#386—471no—
958#386—471no—
959#386—471no—
960#386C2×D4711yescharacteristic
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385C2×D4711yescharacteristic, complemented
981#384—471no—
982#384—471no—
983#384—471no—
984#384—471no—
985#381—471no—
986#381—471no—
987#381—471no—
988#381—471no—
989#381—471no—
990#381—471no—
991#381—471no—
992#381C2×D4711yescharacteristic, complemented
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380—471no—
998#380C2×D4711yescharacteristic, complemented
999#379—471no—
1000#379—471no—
1001#379—471no—
1002#379—471no—
1003#379—471no—
1004#379—471no—
1005C4×C22⋊C4—471no—
1006C4×C22⋊C4—471no—
1007C47#3672011yescharacteristic, complemented, Sylow
1008C25—471no—
1009C25—471no—
1010C22×Q8—471no—
1011C22×Q8—471no—
1012C22×Q8—471no—
1013C22×Q8C22×D4711yescharacteristic
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4—944no—
1018C22×D4—1882no—
1019C22×D4—1882no—
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—944no—
1033C23×C4—1882no—
1034C23×C4—1882no—
1035C23×C4C22×D4711yescharacteristic
1036C23×C4C22×D4711yescharacteristic
1037#123—24no—
1038#123—944no—
1039#123—944no—
1040#123—944no—
1041#123—944no—
1042#123—944no—
1043#123—944no—
1044#123—944no—
1045#123—1882no—
1046#123—1882no—
1047#123—1882no—
1048#123—1882no—
1049C22⋊Q8—24no—
1050C22⋊Q8—944no—
1051C22⋊Q8—944no—
1052C22⋊Q8—944no—
1053C22⋊Q8—944no—
1054C22⋊Q8—944no—
1055C22⋊Q8—944no—
1056C22⋊Q8—944no—
1057C22⋊Q8—944no—
1058C22⋊Q8—944no—
1059C22⋊Q8—944no—
1060C22⋊Q8—944no—
1061C22⋊Q8—1882no—
1062C22⋊Q8—1882no—
1063C22⋊Q8—1882no—
1064C22⋊Q8—1882no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—944no—
1098C2×C4⋊C4—944no—
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C4⋊C4C22×D4711yescharacteristic
1106C2×C4⋊C4C22×D4711yescharacteristic
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—478no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
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—944no—
1147C2×C22⋊C4—944no—
1148C2×C22⋊C4—944no—
1149C2×C22⋊C4—944no—
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C22⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42C22×D4711yescharacteristic
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199#95C22×D4711yescharacteristic
1200#95C22×D4711yescharacteristic
1201#95C22×D4711yescharacteristic
1202#95C22×D4711yescharacteristic
1203#95C22×D4711yescharacteristic
1204C24—471no—
1205C24—471no—
1206C24—471no—
1207C24—474no—
1208C24—942no—
1209C24—942no—
1210C24—942no—
1211C24—942no—
1212C24—942no—
1213C24—942no—
1214C24—942no—
1215C24—1881no—
1216C24—1881no—
1217C24—1881no—
1218C24—1881no—
1219C24—1881no—
1220C24—1881no—
1221C24C23×D4711yescharacteristic
1222C24C23×D4711yescharacteristic
1223C2×Q8—22no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×Q8—942no—
1227C2×Q8—942no—
1228C2×Q8—942no—
1229C2×Q8—1881no—
1230C2×Q8—1881no—
1231C2×Q8—1881no—
1232C2×Q8—1881no—
1233C2×Q8—1881no—
1234C2×Q8—1881no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—1881no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—18816no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—474no—
1257C22×C4—474no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4—18816no—
1298C22×C4—1881no—
1299C22×C4—1881no—
1300C22×C4—1881no—
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C22×C4C23×D4711yescharacteristic
1308C22×C4C23×D4711yescharacteristic
1309C22×C4C23×D4711yescharacteristic
1310C22×C4C23×D4711yescharacteristic
1311C22×C4C23×D4711yescharacteristic
1312C22×C4C23×D4711yescharacteristic
1313C22×C4C23×D4711yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—942no—
1336C4⋊C4—942no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C4⋊C4—1881no—
1346C4⋊C4—1881no—
1347C4⋊C4—1881no—
1348C4⋊C4—1881no—
1349C4⋊C4—1881no—
1350C4⋊C4—1881no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—474no—
1364C22⋊C4—474no—
1365C22⋊C4—474no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
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—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4—1881no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
1401C22⋊C4D4×D4714yes—
1402C42—41no—
1403C42—1881no—
1404C42—1881no—
1405C42—1881no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—472no—
1419C23—472no—
1420C23—472no—
1421C23—472no—
1422C23—472no—
1423C23—948no—
1424C23—948no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—3762no—
1442C23—3762no—
1443C23—3762no—
1444C23—3762no—
1445C23—1884no—
1446C23—1884no—
1447C23—1884no—
1448C23—1884no—
1449C23—1884no—
1450C23—1884no—
1451C23—1884no—
1452C23—1884no—
1453C23C2×D4×D4712yes—
1454C23#1309407012yes—
1455C23C24×D4711yescharacteristic
1456Q8—82no—
1457Q8—3762no—
1458Q8—3762no—
1459Q8—3762no—
1460D4—44no—
1461D4—1884no—
1462D4—1884no—
1463D4—1884no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—82no—
1503C2×C4—472no—
1504C2×C4—472no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—3762no—
1543C2×C4—3762no—
1544C2×C4—3762no—
1545C2×C4—1884no—
1546C2×C4—1884no—
1547C2×C4—1884no—
1548C2×C4—1884no—
1549C2×C4—1884no—
1550C2×C4—1884no—
1551C2×C4—1884no—
1552C2×C4—1884no—
1553C2×C4C2×D4×D4712yes—
1554C2×C4C2×D4×D4712yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—474no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—942no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—942no—
1580C22—942no—
1581C22—942no—
1582C22—3768no—
1583C22—18816no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22—1881no—
1592C22C22×D4×D4711yescharacteristic
1593C22H(5,𝔽2)×D4711yescharacteristic
1594C22C2×#1309407011yescharacteristic
1595C222−1+4×D4711yescharacteristic
1596C222−1+4×D4711yescharacteristic
1597C22#1568995811yescharacteristic
1598C22#1568995911yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—942no—
1613C4—942no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C4—1881no—
1625C2—42no—
1626C2—42no—
1627C2—944no—
1628C2—1882no—
1629C2—1882no—
1630C2#536×D4711yescharacteristic
1631C2#2025701811yescharacteristic
1632C2#2025702511yescharacteristic
1633C2#2025758811yescharacteristic
1634C2#2025759011yescharacteristic
1635C2#2025759511yescharacteristic
1636C2#2025760011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2687C2
prime radicalC22×D4×D47C22
hypercenter#2687D47
hypocenterC47#36720
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2687

Complements

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

NH ≅ G/Ntype
1. C2×#15689748C2semidirect
3. #20251676C2semidirect
4. #20251674C2semidirect
5. #20249814C2semidirect
6. #20249813C2semidirect
7. #20249810C2semidirect
8. #20249809C2semidirect
9. #20249808C2semidirect
10. #20249805C2semidirect
11. #20249804C2semidirect
12. #20249731C2semidirect
13. #20249730C2semidirect
14. #20249729C2semidirect
15. #20249729C2semidirect
16. #20249726C2semidirect
17. #20249726C2semidirect
18. #20249725C2semidirect
19. #20249724C2semidirect
20. #20249206C2semidirect
21. #20249202C2semidirect
22. #20248544C2semidirect
23. #20248542C2semidirect
24. #20247865C2semidirect
25. #20247861C2semidirect
26. #20247667C2semidirect
27. #20247665C2semidirect
30. #20245982C2semidirect
31. C47×#2687C2semidirect
48. C2×#13094004C22semidirect
49. C2×#13094004C22semidirect
50. C2×#13094003C22semidirect
51. C2×#13094003C22semidirect
54. C2×#13094002C22semidirect
55. C2×#13094002C22semidirect
56. C2×#13094002C22semidirect
57. C2×#13094001C22semidirect
58. C2×#13094001C22semidirect
59. C2×#13094001C22semidirect
61. C2×#13094000C22semidirect
69. #15689065C22semidirect
70. #15689064C22semidirect
71. #15689061C22semidirect
72. #15689057C22semidirect
73. #15689057C22semidirect
74. #15689057C22semidirect
75. #15689057C22semidirect
76. #15689057C22semidirect
77. #15689057C22semidirect
78. #15689056C22semidirect
79. #15689056C22semidirect
80. #15689055C22semidirect
81. #15689055C22semidirect
82. #15689055C22semidirect
83. #15689054C22semidirect
84. #15689053C22semidirect
85. #15689053C22semidirect
86. #15689052C22semidirect
87. #15689052C22semidirect
88. #15689052C22semidirect
89. #15689051C22semidirect
90. #15689051C22semidirect
91. #15689051C22semidirect
92. #15689050C22semidirect
93. #15689050C22semidirect
94. #15689050C22semidirect
95. #15689048C22semidirect
96. #15689048C22semidirect
97. #15689044C22semidirect
98. #15689044C22semidirect
99. #15689043C22semidirect
100. #15689043C22semidirect
108. #15689036C22semidirect
109. #15689035C22semidirect
110. #15689034C22semidirect
111. #15689030C22semidirect
112. #15689027C22semidirect
113. #15689027C22semidirect
114. #15689017C22semidirect
115. #15689017C22semidirect
116. #15689016C22semidirect
117. #15689015C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
120. #15689013C22semidirect
121. #15689013C22semidirect
122. #15689012C22semidirect
123. #15689012C22semidirect
124. #15689012C22semidirect
125. #15689011C22semidirect
126. #15689011C22semidirect
127. #15689011C22semidirect
131. #15688998C22semidirect
132. #15688998C22semidirect
133. #15688998C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688996C22semidirect
145. #15688995C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688993C22semidirect
151. #15688992C22semidirect
152. #15688992C22semidirect
153. #15688992C22semidirect
154. #15688986C22semidirect
159. #15688985C22semidirect
160. #15688985C22semidirect
162. #15688982C22semidirect
163. #15688981C22semidirect
165. #15688980C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#398C22semidirect
179. C47×#397C22semidirect
181. C47×#393C22semidirect
182. C47×#391C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
186. C47×#385C22semidirect
187. C47×#381C22semidirect
188. C47×#380C22semidirect
818. #2687D47semidirect
881. C2×C22⋊Q8C2×D47semidirect
892. #400C2×D47semidirect
907. #398C2×D47semidirect
908. #398C2×D47semidirect
920. #397C2×D47semidirect
936. #393C2×D47semidirect
940. #391C2×D47semidirect
955. #388C2×D47semidirect
956. #388C2×D47semidirect
980. #385C2×D47semidirect
992. #381C2×D47semidirect
998. #380C2×D47semidirect
1007. C47#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#156897482
C2×#123×D472
#202516762
#202516742
#202498142
#202498132
#202498102
#202498092
#202498082
#202498052
#202498042
#202497312
#202497302
#202497292
#202497262
#202497252
#202497242
#202492062
#202492022
#202485442
#202485422
#202478652
#202478612
#202476672
#202476652
#202467142
#202467102
#202459822
C47×#26872
#3672047