Finite Group Databasebeta

← #26423597

Subgroups — #26423597

Order 12032.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251667C211yesmaximal, characteristic, complemented
3#20250591C211yesmaximal, characteristic, complemented
4#20250487C211yesmaximal, characteristic, complemented
5#20250476C211yesmaximal, characteristic, complemented
6#20250450C211yesmaximal, characteristic, complemented
7#20250446C211yesmaximal, characteristic, complemented
8#20250224C211yesmaximal, characteristic, complemented
9#20250027C211yesmaximal, characteristic, complemented
10#20249947C211yesmaximal, characteristic, complemented
11#20249932C211yesmaximal, characteristic, complemented
12#20249900C211yesmaximal, characteristic, complemented
13#20249819C211yesmaximal, characteristic, complemented
14#20249793C211yesmaximal, characteristic, complemented
15#20249764C211yesmaximal, characteristic, complemented
16#20249719C211yesmaximal, characteristic, complemented
17#20249616C211yesmaximal, characteristic, complemented
18#20249563C211yesmaximal, characteristic, complemented
19#20249523C211yesmaximal, characteristic, complemented
20#20248942C211yesmaximal, characteristic, complemented
21#20248723C211yesmaximal, characteristic, complemented
22#20248485C211yesmaximal, characteristic, complemented
23#20248483C211yesmaximal, characteristic, complemented
24#20247585C211yesmaximal, characteristic, complemented
25#20247580C211yesmaximal, characteristic, complemented
26#20247545C211yesmaximal, characteristic, complemented
27#20247492C211yesmaximal, characteristic, complemented
28#20246181C211yesmaximal, characteristic, complemented
29#20246149C211yesmaximal, characteristic, complemented
30#20245770C211yesmaximal, characteristic, complemented
31C47×#2672C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094010C2211yescharacteristic
34C2×#13094010C2211yescharacteristic
35C2×#13094009C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094008C2211yescharacteristic, complemented
38C2×#13094006C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093995C2211yescharacteristic
41C2×#13093995C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093982C2211yescharacteristic
46C2×#13093982C2211yescharacteristic
47#15689065C2211yescharacteristic, complemented
48#15689065C2211yescharacteristic, complemented
49#15689062C2211yescharacteristic, complemented
50#15689062C2211yescharacteristic, complemented
51#15689061C2211yescharacteristic, complemented
52#15689057C2211yescharacteristic, complemented
53#15689053C2211yescharacteristic, complemented
54#15689052C2211yescharacteristic
55#15689051C2211yescharacteristic
56#15689051C2211yescharacteristic
57#15689051C2211yescharacteristic
58#15689051C2211yescharacteristic
59#15689051C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689050C2211yescharacteristic, complemented
62#15689049C2211yescharacteristic, complemented
63#15689049C2211yescharacteristic, complemented
64#15689048C2211yescharacteristic, complemented
65#15689048C2211yescharacteristic, complemented
66#15689045C2211yescharacteristic
67#15689045C2211yescharacteristic
68#15689045C2211yescharacteristic
69#15689044C2211yescharacteristic, complemented
70#15689043C2211yescharacteristic, complemented
71#15689041C2211yescharacteristic
72#15689039C2211yescharacteristic
73#15689039C2211yescharacteristic, complemented
74#15689038C2211yescharacteristic
75#15689038C2211yescharacteristic
76#15689038C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689036C2211yescharacteristic
79#15689035C2211yescharacteristic, complemented
80#15689034C2211yescharacteristic
81#15689034C2211yescharacteristic
82#15689034C2211yescharacteristic, complemented
83#15689032C2211yescharacteristic
84#15689032C2211yescharacteristic
85#15689032C2211yescharacteristic
86#15689031C2211yescharacteristic
87#15689031C2211yescharacteristic
88#15689031C2211yescharacteristic, complemented
89#15689030C2211yescharacteristic, complemented
90#15689028C2211yescharacteristic, complemented
91#15689026C2211yescharacteristic
92#15689024C2211yescharacteristic
93#15689024C2211yescharacteristic
94#15689023C2211yescharacteristic
95#15689023C2211yescharacteristic
96#15689023C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689017C2211yescharacteristic
99#15689017C2211yescharacteristic, complemented
100#15689017C2211yescharacteristic, complemented
101#15689016C2211yescharacteristic, complemented
102#15689014C2211yescharacteristic
103#15689014C2211yescharacteristic
104#15689013C2211yescharacteristic
105#15689013C2211yescharacteristic
106#15689013C2211yescharacteristic
107#15689013C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic, complemented
109#15689011C2211yescharacteristic
110#15689011C2211yescharacteristic, complemented
111#15689011C2211yescharacteristic, complemented
112#15689011C2211yescharacteristic, complemented
113#15689009C2211yescharacteristic, complemented
114#15689009C2211yescharacteristic, complemented
115#15689009C2211yescharacteristic, complemented
116#15689009C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689006C2211yescharacteristic, complemented
120#15689006C2211yescharacteristic, complemented
121#15689005C2211yescharacteristic, complemented
122#15689004C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic, complemented
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688995C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic, complemented
149#15688990C2211yescharacteristic, complemented
150#15688985C2211yescharacteristic
151#15688985C2211yescharacteristic
152#15688985C2211yescharacteristic
153#15688985C2211yescharacteristic
154#15688983C2211yescharacteristic
155#15688983C2211yescharacteristic
156#15688981C2211yescharacteristic, complemented
157#15688980C2211yescharacteristic
158#15688980C2211yescharacteristic
159#15688980C2211yescharacteristic
160#15688980C2211yescharacteristic
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688974C2211yescharacteristic, complemented
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic, complemented
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic47C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic
172C2×#124×C47C2211yescharacteristic
173C2×#123×C47C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic
176C47×#399C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#395C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic, complemented
182C47×#389C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C22×C4×D47—24no—
201C22×C4×D47—42no—
202C22×C4×D47—42no—
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094010—42no—
209#13094010—42no—
210#13094009—24no—
211#13094009—42no—
212#13094008—42no—
213#13094006—42no—
214#13093997—42no—
215#13093995—24no—
216#13093995—42no—
217#13093994—42no—
218#13093992—42no—
219#13093992—42no—
220#13093982—42no—
221#13093982—42no—
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
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
324C22×Q8×C47C2311yescharacteristic
325C22×D4×C47C2311yescharacteristic
326C22×D4×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330#124×C47—42no—
331#123×C47—42no—
332C22⋊Q8×C47—42no—
333#121×C47—42no—
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C24×C47C2411yescharacteristic
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—22no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×Q8×C47—41no—
377C2×Q8×C47—41no—
378C2×Q8×C47—41no—
379C2×D4×C47—22no—
380C2×D4×C47—22no—
381C2×D4×C47—22no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C2×D4×C47—41no—
386C2×D4×C47—41no—
387C2×D4×C47—41no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C22×Dic47—22no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47—41no—
432C22×Dic47—41no—
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C2×D188—22no—
447C2×D188—22no—
448C2×D188—41no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188—41no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—416no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47#4114yes—
468C2×Dic94—41no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47—22no—
473C4⋊C4×C47—22no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—22no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C42×C47—41no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535C4⋊Dic47—22no—
536C4⋊Dic47—22no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540C4⋊Dic47—41no—
541Dic47⋊C4—22no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550C4×Dic47—41no—
551C4×Dic47—41no—
552C4×Dic47—41no—
553C4×Dic47—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47H(5,𝔽2)12yes—
579C23×C47C2511yescharacteristic
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47—44no—
606C22×D47C2×#4112yes—
607C22×D47H(5,𝔽2)12yes—
608Q8×C47—82no—
609D4×C47—82no—
610D4×C47—82no—
611D4×C47—82no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
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—44no—
647C2×C4×C47—82no—
648C2×C4×C47C2×#4112yes—
649C2×C4×C47H(5,𝔽2)12yes—
650C22⋊D47—82no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C22⋊D47—82no—
655C22⋊D47—82no—
656C22⋊D47—82no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
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—44no—
696C2×Dic47—82no—
697C2×Dic47C2×#4112yes—
698D188—82no—
699D188—82no—
700C4×D47—28no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704C4×D47—82no—
705Dic94—82no—
706#36735—471nomaximal, Sylow
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47—41no—
728C22×C47C22×#4111yescharacteristic
729C22×C47C2×H(5,𝔽2)11yescharacteristic
730C22×C47C2×H(5,𝔽2)11yescharacteristic
731C22×C47C2×H(5,𝔽2)11yescharacteristic
732C22×C47#58511yescharacteristic
733C22×C47#58511yescharacteristic
734C22×C47#58511yescharacteristic
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—416no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C4×C47—22no—
758C4×C47—22no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769Dic47—22no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782#2849—471no—
783#2847—471no—
784#2747—471no—
785#2740—471no—
786#2739—471no—
787#2737—471no—
788#2737—471no—
789#2717—471no—
790#2703—471no—
791#2697—471no—
792#2696—471no—
793#2693—471no—
794#2688—471no—
795#2686—471no—
796#2684—471no—
797#2678—471no—
798#2672D4711yescharacteristic, complemented
799#2670—471no—
800#2665—471no—
801#2661—471no—
802#2597—471no—
803#2578—471no—
804#2557—471no—
805#2557—471no—
806#2477—471no—
807#2476—471no—
808#2474—471no—
809#2471—471no—
810#2335—471no—
811#2333—471no—
812#2280—471no—
813C2×C47—42no—
814C2×C47—81no—
815C2×C47—81no—
816C2×C47#345511yescharacteristic
817C2×C47#349011yescharacteristic
818C2×C47#349411yescharacteristic
819C2×C47#353311yescharacteristic
820C2×C47#353411yescharacteristic
821C2×C47#354011yescharacteristic
822C2×C47#354211yescharacteristic
823D47—42no—
824D47—42no—
825D47—81no—
826C24×C4—471no—
827C2×#124—471no—
828C2×#124—471no—
829C2×#124C2×D4711yescharacteristic
830C2×#123—471no—
831C2×#123—471no—
832C2×#123—471no—
833C2×#123—471no—
834C2×#123C2×D4711yescharacteristic
835C2×C22⋊Q8C2×D4711yescharacteristic, complemented
836C2×#121—471no—
837C2×#121—471no—
838C2×#121—471no—
839C2×#121C2×D4711yescharacteristic
840C2×#120—471no—
841C2×#120—471no—
842C2×#120—471no—
843C2×#117—471no—
844C2×#117—471no—
845#400—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#400—471no—
850#399C2×D4711yescharacteristic, complemented
851#398—471no—
852#398—471no—
853#397—471no—
854#397—471no—
855#397—471no—
856#397—471no—
857#397—471no—
858#397—471no—
859#397—471no—
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397—471no—
865#396—471no—
866#396—471no—
867#396—471no—
868#396C2×D4711yescharacteristic, complemented
869#395—471no—
870#395—471no—
871#395C2×D4711yescharacteristic, complemented
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394C2×D4711yescharacteristic
880#394C2×D4711yescharacteristic
881#394C2×D4711yescharacteristic, complemented
882#393—471no—
883#393—471no—
884#393—471no—
885#393—471no—
886#393—471no—
887#392—471no—
888#392—471no—
889#392—471no—
890#392—471no—
891#392—471no—
892#392—471no—
893#391—471no—
894#391—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390—471no—
902#389C2×D4711yescharacteristic, complemented
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388C2×D4711yescharacteristic, complemented
919#387—471no—
920#387—471no—
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387—471no—
928#387—471no—
929#387—471no—
930#387—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386C2×D4711yescharacteristic, complemented
951#385—471no—
952#385—471no—
953#385—471no—
954#385—471no—
955#385—471no—
956#385C2×D4711yescharacteristic
957#383—471no—
958#381—471no—
959#381—471no—
960#381—471no—
961#381—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380—471no—
968#380—471no—
969#380C2×D4711yescharacteristic
970#379—471no—
971#379—471no—
972#379—471no—
973C4×C4⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C47#3673511yescharacteristic, complemented, Sylow
982C25—471no—
983C22×Q8—471no—
984C22×Q8C22×D4711yescharacteristic
985C22×D4—471no—
986C22×D4—471no—
987C22×D4—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4C22×D4711yescharacteristic
995C22×D4C22×D4711yescharacteristic
996C22×D4C22×D4711yescharacteristic
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—944no—
1005C23×C4—1882no—
1006C23×C4—1882no—
1007C23×C4C22×D4711yescharacteristic
1008C23×C4C22×D4711yescharacteristic
1009#124—42no—
1010#124—1882no—
1011#124—1882no—
1012#123—42no—
1013#123—944no—
1014#123—1882no—
1015#123—1882no—
1016#123—1882no—
1017C22⋊Q8—42no—
1018#121—42no—
1019#121—944no—
1020#121—1882no—
1021#121—1882no—
1022#120—1882no—
1023#120—1882no—
1024#120—1882no—
1025#117—1882no—
1026#117—1882no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4C22×D4711yescharacteristic
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4C22×D4711yescharacteristic
1093C2×C22⋊C4C22×D4711yescharacteristic
1094C2×C22⋊C4C22×D4711yescharacteristic
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42—471no—
1112C2×C42—471no—
1113C2×C42C22×D4711yescharacteristic
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158C24—471no—
1159C24—471no—
1160C24—471no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24—1881no—
1167C24—1881no—
1168C24C23×D4711yescharacteristic
1169C24C23×D4711yescharacteristic
1170C24C23×D4711yescharacteristic
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—942no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—942no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C2×D4—1881no—
1199C2×D4—1881no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—471no—
1220C22×C4—474no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—18816no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—942no—
1276C4⋊C4—942no—
1277C4⋊C4—942no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
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—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C42—41no—
1345C42—1881no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C42—1881no—
1350C42—1881no—
1351C42—1881no—
1352C42—1881no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—472no—
1374C23—472no—
1375C23—941no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—1884no—
1395C23—1884no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23—1884no—
1400C23—1884no—
1401C23#1309406912yes—
1402C23C24×D4711yescharacteristic
1403Q8—82no—
1404Q8—3762no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413D4—3762no—
1414D4—3762no—
1415D4—3762no—
1416D4—3762no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—44no—
1452C2×C4—82no—
1453C2×C4—472no—
1454C2×C4—948no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—3762no—
1494C2×C4—3762no—
1495C2×C4—1884no—
1496C2×C4—1884no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4#41×D4712yes—
1500C2×C4#1309406912yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—942no—
1523C22—942no—
1524C22—942no—
1525C22—942no—
1526C22—942no—
1527C22—942no—
1528C22—18816no—
1529C22—1881no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22C2×#41×D4711yescharacteristic
1545C22H(5,𝔽2)×D4711yescharacteristic
1546C22C2×#1309406911yescharacteristic
1547C22C2×#1309406911yescharacteristic
1548C22#1568995811yescharacteristic
1549C22#1568996011yescharacteristic
1550C22#1568996011yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—942no—
1564C4—1881no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C2—42no—
1577C2—81no—
1578C2—81no—
1579C2—3761no—
1580C2—1882no—
1581C2—1882no—
1582C2#2025677511yescharacteristic
1583C2#2025707011yescharacteristic
1584C2#2025711211yescharacteristic
1585C2#2025755011yescharacteristic
1586C2#2025756711yescharacteristic
1587C2#2025766511yescharacteristic
1588C2#2025770911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2672C2
hypercenter#2672D47
hypocenterC47#36735
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251667C2semidirect
3. #20250591C2semidirect
4. #20250487C2semidirect
5. #20250476C2semidirect
6. #20250450C2semidirect
7. #20250446C2semidirect
8. #20250224C2semidirect
9. #20250027C2semidirect
10. #20249947C2semidirect
11. #20249932C2semidirect
12. #20249900C2semidirect
13. #20249819C2semidirect
14. #20249793C2semidirect
15. #20249764C2semidirect
16. #20249719C2semidirect
17. #20249616C2semidirect
18. #20249563C2semidirect
19. #20249523C2semidirect
20. #20248942C2semidirect
21. #20248723C2semidirect
22. #20248485C2semidirect
23. #20248483C2semidirect
24. #20247585C2semidirect
25. #20247580C2semidirect
26. #20247545C2semidirect
27. #20247492C2semidirect
28. #20246181C2semidirect
29. #20246149C2semidirect
30. #20245770C2semidirect
31. C47×#2672C2semidirect
37. C2×#13094008C22semidirect
47. #15689065C22semidirect
48. #15689065C22semidirect
49. #15689062C22semidirect
50. #15689062C22semidirect
51. #15689061C22semidirect
52. #15689057C22semidirect
53. #15689053C22semidirect
59. #15689051C22semidirect
60. #15689051C22semidirect
61. #15689050C22semidirect
62. #15689049C22semidirect
63. #15689049C22semidirect
64. #15689048C22semidirect
65. #15689048C22semidirect
69. #15689044C22semidirect
70. #15689043C22semidirect
73. #15689039C22semidirect
79. #15689035C22semidirect
82. #15689034C22semidirect
88. #15689031C22semidirect
89. #15689030C22semidirect
90. #15689028C22semidirect
96. #15689023C22semidirect
97. #15689023C22semidirect
99. #15689017C22semidirect
100. #15689017C22semidirect
101. #15689016C22semidirect
107. #15689013C22semidirect
108. #15689013C22semidirect
110. #15689011C22semidirect
111. #15689011C22semidirect
112. #15689011C22semidirect
113. #15689009C22semidirect
114. #15689009C22semidirect
115. #15689009C22semidirect
116. #15689009C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689006C22semidirect
120. #15689006C22semidirect
121. #15689005C22semidirect
122. #15689004C22semidirect
123. #15689004C22semidirect
124. #15689004C22semidirect
128. #15689003C22semidirect
132. #15689002C22semidirect
143. #15688999C22semidirect
144. #15688997C22semidirect
148. #15688994C22semidirect
149. #15688990C22semidirect
156. #15688981C22semidirect
164. #15688974C22semidirect
167. C22⋊C4×Dic47C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
169. C4×C22⋊Dic47C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
176. C47×#399C22semidirect
177. C47×#396C22semidirect
178. C47×#395C22semidirect
181. C47×#394C22semidirect
182. C47×#389C22semidirect
183. C47×#388C22semidirect
184. C47×#386C22semidirect
798. #2672D47semidirect
835. C2×C22⋊Q8C2×D47semidirect
850. #399C2×D47semidirect
868. #396C2×D47semidirect
871. #395C2×D47semidirect
881. #394C2×D47semidirect
902. #389C2×D47semidirect
918. #388C2×D47semidirect
950. #386C2×D47semidirect
981. C47#36735semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516672
#202505912
#202504872
#202504762
#202504502
#202504462
#202502242
#202500272
#202499472
#202499322
#202499002
#202498192
#202497932
#202497642
#202497192
#202496162
#202495632
#202495232
#202489422
#202487232
#202484852
#202484832
#202475852
#202475802
#202475452
#202474922
#202461812
#202461492
#202457702
C47×#26722
#3673547