Finite Group Databasebeta

← #26425198

Subgroups — #26425198

Order 12032.

1950 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#20251705C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic, complemented
3#20251369C211yesmaximal, characteristic, complemented
4#20251323C211yesmaximal, characteristic, complemented
5#20251314C211yesmaximal, characteristic, complemented
6#20251109C211yesmaximal, characteristic, complemented
7#20251056C211yesmaximal, characteristic, complemented
8#20251014C211yesmaximal, characteristic, complemented
9#20251005C211yesmaximal, characteristic, complemented
10#20250963C211yesmaximal, characteristic, complemented
11#20250748C211yesmaximal, characteristic, complemented
12#20250717C211yesmaximal, characteristic, complemented
13#20250703C211yesmaximal, characteristic, complemented
14#20250648C211yesmaximal, characteristic, complemented
15#20250411C211yesmaximal, characteristic, complemented
16#20250204C211yesmaximal, characteristic, complemented
17#20250189C211yesmaximal, characteristic, complemented
18#20249793C211yesmaximal, characteristic, complemented
19#20249122C211yesmaximal, characteristic, complemented
20#20247952C211yesmaximal, characteristic, complemented
21#20247511C211yesmaximal, characteristic, complemented
22#20247142C211yesmaximal, characteristic, complemented
23#20247062C211yesmaximal, characteristic, complemented
24#20246996C211yesmaximal, characteristic, complemented
25#20246920C211yesmaximal, characteristic, complemented
26#20246775C211yesmaximal, characteristic, complemented
27#20246704C211yesmaximal, characteristic, complemented
28#20246056C211yesmaximal, characteristic, complemented
29#20245975C211yesmaximal, characteristic, complemented
30C2×#15689017C211yesmaximal, characteristic, complemented
31C47×#2622C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094010C2211yescharacteristic
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094008C2211yescharacteristic
37C2×#13094001C2211yescharacteristic
38C2×#13093998C2211yescharacteristic
39C2×#13093996C2211yescharacteristic
40C2×#13093995C2211yescharacteristic
41C2×#13093993C2211yescharacteristic
42C2×#13093993C2211yescharacteristic
43C2×(C22⋊D47)⋊C4C2211yescharacteristic
44C2×#13093980C2211yescharacteristic
45C22×Dic47⋊C4C2211yescharacteristic
46C22×C22⋊Dic47C2211yescharacteristic
47C22×C22⋊Dic47C2211yescharacteristic
48C22×C4×Dic47C2211yescharacteristic
49C47⋊#401C2211yescharacteristic, complemented
50#15689065C2211yescharacteristic, complemented
51#15689065C2211yescharacteristic, complemented
52#15689063C2211yescharacteristic, complemented
53#15689053C2211yescharacteristic, complemented
54#15689053C2211yescharacteristic, complemented
55#15689052C2211yescharacteristic, complemented
56#15689051C2211yescharacteristic
57#15689051C2211yescharacteristic, complemented
58#15689049C2211yescharacteristic, complemented
59#15689048C2211yescharacteristic
60#15689048C2211yescharacteristic
61#15689048C2211yescharacteristic, complemented
62#15689046C2211yescharacteristic
63#15689046C2211yescharacteristic
64#15689046C2211yescharacteristic
65#15689044C2211yescharacteristic, complemented
66#15689044C2211yescharacteristic, complemented
67#15689040C2211yescharacteristic, complemented
68#15689039C2211yescharacteristic
69#15689039C2211yescharacteristic
70#15689039C2211yescharacteristic
71#15689039C2211yescharacteristic
72#15689039C2211yescharacteristic
73#15689039C2211yescharacteristic
74#15689039C2211yescharacteristic, complemented
75#15689038C2211yescharacteristic
76#15689038C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689037C2211yescharacteristic
79#15689036C2211yescharacteristic, complemented
80#15689035C2211yescharacteristic
81#15689035C2211yescharacteristic
82#15689035C2211yescharacteristic
83#15689032C2211yescharacteristic
84#15689032C2211yescharacteristic
85#15689032C2211yescharacteristic, complemented
86#15689031C2211yescharacteristic
87#15689031C2211yescharacteristic
88#15689031C2211yescharacteristic
89#15689028C2211yescharacteristic, complemented
90#15689027C2211yescharacteristic, complemented
91#15689027C2211yescharacteristic, complemented
92#15689027C2211yescharacteristic, complemented
93#15689026C2211yescharacteristic
94#15689023C2211yescharacteristic
95#15689023C2211yescharacteristic
96#15689023C2211yescharacteristic
97#15689023C2211yescharacteristic, complemented
98#15689023C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic, complemented
100#15689022C2211yescharacteristic, complemented
101#15689019C2211yescharacteristic, complemented
102#15689019C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic
104#15689017C2211yescharacteristic
105#15689017C2211yescharacteristic
106#15689017C2211yescharacteristic
107#15689017C2211yescharacteristic
108#15689017C2211yescharacteristic
109#15689017C2211yescharacteristic
110#15689017C2211yescharacteristic
111#15689017C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic
113#15689016C2211yescharacteristic
114#15689016C2211yescharacteristic
115#15689016C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689013C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689012C2211yescharacteristic, complemented
123#15689012C2211yescharacteristic, complemented
124#15689012C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic
126#15689011C2211yescharacteristic
127#15689011C2211yescharacteristic, complemented
128#15689009C2211yescharacteristic, complemented
129#15689009C2211yescharacteristic, complemented
130#15689008C2211yescharacteristic, complemented
131#15689008C2211yescharacteristic, complemented
132#15689008C2211yescharacteristic, complemented
133#15689006C2211yescharacteristic, complemented
134#15689006C2211yescharacteristic, complemented
135#15689006C2211yescharacteristic, complemented
136#15689004C2211yescharacteristic, complemented
137#15689003C2211yescharacteristic
138#15689003C2211yescharacteristic
139#15689003C2211yescharacteristic
140#15689003C2211yescharacteristic
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic
143#15689001C2211yescharacteristic, complemented
144#15689001C2211yescharacteristic, complemented
145#15689000C2211yescharacteristic
146#15689000C2211yescharacteristic
147#15689000C2211yescharacteristic
148#15689000C2211yescharacteristic
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic
151#15688999C2211yescharacteristic
152#15688999C2211yescharacteristic
153#15688998C2211yescharacteristic
154#15688998C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688995C2211yescharacteristic
157#15688994C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688990C2211yescharacteristic, complemented
160#15688990C2211yescharacteristic, complemented
161#15688987C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic
164#15688983C2211yescharacteristic
165#15688982C2211yescharacteristic, complemented
166#15688982C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688981C2211yescharacteristic, complemented
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#120×C47C2211yescharacteristic
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic
175C47×#397C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C2×#10625352—24no—
188C2×#10625352—42no—
189C2×#10625352—42no—
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094019—42no—
209#13094010—42no—
210#13094010—42no—
211#13094008—24no—
212#13094001—42no—
213#13093998—42no—
214#13093996—42no—
215#13093995—42no—
216#13093993—42no—
217#13093993—42no—
218(C22⋊D47)⋊C4—42no—
219#13093980—42no—
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×Dic47⋊C4—42no—
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×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×C22⋊Dic47—24no—
242C2×C22⋊Dic47—42no—
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×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×C4×Dic47—42no—
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
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
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C25×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C22×D4×C47C2311yescharacteristic
329C22×D4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332#120×C47—42no—
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47—42no—
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊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
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47—22no—
364C24×C47—22no—
365C24×C47—22no—
366C24×C47—41no—
367C24×C47—41no—
368C24×C47—41no—
369C24×C47—41no—
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—22no—
377C2×D4×C47—22no—
378C2×D4×C47—22no—
379C2×D4×C47—41no—
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—41no—
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C2×C22⋊D47—22no—
403C2×C22⋊D47—22no—
404C2×C22⋊D47—22no—
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—41no—
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—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—41no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47#4114yes—
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
454C22×Dic47C2411yescharacteristic
455#10625352—416no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×C4×D47—22no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×Dic94—22no—
466C2×Dic94—22no—
467C2×Dic94—41no—
468C2×Dic94—41no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
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⋊Dic47—22no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
499C22⋊Dic47—22no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—41no—
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—
529C4⋊Dic47—22no—
530C4⋊Dic47—22no—
531C4⋊Dic47—22no—
532C4⋊Dic47—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537Dic47⋊C4—41no—
538Dic47⋊C4—41no—
539Dic47⋊C4—41no—
540Dic47⋊C4—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549C4×Dic47—22no—
550C4×Dic47—22no—
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×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—44no—
584C23×C47—44no—
585C23×C47—44no—
586C23×C47—82no—
587C23×C47—82no—
588C23×C47—82no—
589C23×C47—82no—
590C23×C47C2×#4112yes—
591C23×C47H(5,𝔽2)12yes—
592C23×C47H(5,𝔽2)12yes—
593C23×C47C2511yescharacteristic
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608D4×C47—44no—
609D4×C47—82no—
610D4×C47—82no—
611C2×C4×C47—21no—
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—44no—
645C2×C4×C47—82no—
646C22⋊D47—44no—
647C22⋊D47—44no—
648C22⋊D47—44no—
649C22⋊D47—82no—
650C22⋊D47—82no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C2×Dic47—28no—
655C2×Dic47—21no—
656C2×Dic47—21no—
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—44no—
695C2×Dic47—44no—
696C2×Dic47—44no—
697C2×Dic47—82no—
698C2×Dic47C2×#4112yes—
699C2×Dic47C2×#4112yes—
700C2×Dic47H(5,𝔽2)12yes—
701D188—82no—
702C4×D47—44no—
703C4×D47—82no—
704Dic94—44no—
705Dic94—82no—
706#36795—471nomaximal, Sylow
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
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×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—88no—
735C22×C47#53814yes—
736C22×C47C22×#4111yescharacteristic
737C22×C47C2×H(5,𝔽2)11yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47#58511yescharacteristic
741C22×C47#58511yescharacteristic
742C22×C47#58511yescharacteristic
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—41no—
758C4×C47—41no—
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—
768Dic47—22no—
769Dic47—22no—
770Dic47—22no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782#2852—471no—
783#2850—471no—
784#2808—471no—
785#2803—471no—
786#2803—471no—
787#2786—471no—
788#2781—471no—
789#2779—471no—
790#2778—471no—
791#2775—471no—
792#2759—471no—
793#2756—471no—
794#2756—471no—
795#2751—471no—
796#2733—471no—
797#2715—471no—
798#2714—471no—
799#2686—471no—
800#2622D4711yescharacteristic, complemented
801#2617—471no—
802#2510—471no—
803#2472—471no—
804#2444—471no—
805#2438—471no—
806#2430—471no—
807#2424—471no—
808#2411—471no—
809#2404—471no—
810#2322—471no—
811#2311—471no—
812C2×#388—471no—
813C2×C47—24no—
814C2×C47—81no—
815C2×C47—81no—
816C2×C47—81no—
817C2×C47C2×#53811yescharacteristic
818C2×C47#349311yescharacteristic
819C2×C47#350611yescharacteristic
820C2×C47#353411yescharacteristic
821C2×C47#354211yescharacteristic
822C2×C47#354511yescharacteristic
823C2×C47#356011yescharacteristic
824D47—81no—
825D47—81no—
826C22×#41—471no—
827C2×#126—471no—
828C2×#124—471no—
829C2×#124—471no—
830C2×#123—471no—
831C2×C22⋊Q8—471no—
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#120—471no—
836C2×#120—471no—
837C2×#120C2×D4711yescharacteristic
838C2×C4×D4—471no—
839C2×#117—471no—
840C22×C4⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843C22×C22⋊C4C2×D4711yescharacteristic
844C22×C42—471no—
845#401—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#398—471no—
850#398—471no—
851#397—471no—
852#397—471no—
853#397—471no—
854#397—471no—
855#397—471no—
856#397—471no—
857#397—471no—
858#397C2×D4711yescharacteristic
859#397C2×D4711yescharacteristic
860#397C2×D4711yescharacteristic
861#397C2×D4711yescharacteristic
862#396—471no—
863#396—471no—
864#396—471no—
865#395—471no—
866#395—471no—
867#394—471no—
868#394—471no—
869#394—471no—
870#394—471no—
871#394—471no—
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
882#394C2×D4711yescharacteristic
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#391—471no—
896#391—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390—471no—
902#390—471no—
903#390—471no—
904#389—471no—
905#389—471no—
906#389—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#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#387—471no—
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—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#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386C2×D4711yescharacteristic
958#386C2×D4711yescharacteristic
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385C2×D4711yescharacteristic
966#385C2×D4711yescharacteristic
967#383—471no—
968#383—471no—
969#382—471no—
970#381—471no—
971#381—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380—471no—
977#379C2×D4711yescharacteristic
978C4×C22⋊C4—471no—
979C2×#95—471no—
980C2×#95—471no—
981C47#3679511yescharacteristic, complemented, Sylow
982C25C22×D4711yescharacteristic
983C2×#41—944no—
984C2×#41—1882no—
985C2×#41—1882no—
986C22×Q8—471no—
987C22×Q8—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4C22×D4711yescharacteristic
998C22×D4C22×D4711yescharacteristic
999C22×D4C22×D4711yescharacteristic
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4C22×D4711yescharacteristic
1008C23×C4C22×D4711yescharacteristic
1009#126—1882no—
1010#124—1882no—
1011#124—1882no—
1012#123—944no—
1013C22⋊Q8—1882no—
1014#121—1882no—
1015#121—1882no—
1016#121—1882no—
1017#120—42no—
1018#120—1882no—
1019#120—1882no—
1020C4×D4—1882no—
1021#117—1882no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
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⋊C4—1882no—
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
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—944no—
1086C2×C22⋊C4—1882no—
1087C2×C22⋊C4C22×D4711yescharacteristic
1088C2×C22⋊C4C22×D4711yescharacteristic
1089C2×C22⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4C22×D4711yescharacteristic
1091C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
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×C42—1882no—
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#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—471no—
1166C24—471no—
1167C24C23×D4711yescharacteristic
1168C24C23×D4711yescharacteristic
1169C24C23×D4711yescharacteristic
1170C24C23×D4711yescharacteristic
1171#41—18816no—
1172C2×Q8—942no—
1173C2×Q8—942no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×Q8—1881no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—942no—
1193C2×D4—942no—
1194C2×D4—942no—
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—
1213C2×D4—1881no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
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—471no—
1234C22×C4—471no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
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—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—1881no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
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—41no—
1294C22⋊C4—41no—
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—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—942no—
1317C22⋊C4—942no—
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—942no—
1345C42—942no—
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—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23#41×D4712yes—
1400C23#1309406912yes—
1401C23#1309407012yes—
1402C23C24×D4711yescharacteristic
1403Q8—3762no—
1404Q8—1884no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413D4—3762no—
1414D4—1884no—
1415D4—1884no—
1416D4—1884no—
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—44no—
1451C2×C4—82no—
1452C2×C4—472no—
1453C2×C4—472no—
1454C2×C4—472no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—948no—
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—941no—
1494C2×C4—941no—
1495C2×C4—3762no—
1496C2×C4—3762no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4—1884no—
1500C2×C4—1884no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
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—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—88no—
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#1568970914yes—
1544C22C2×#41×D4711yescharacteristic
1545C22H(5,𝔽2)×D4711yescharacteristic
1546C22C2×#1309406911yescharacteristic
1547C22C2×#1309407011yescharacteristic
1548C22#1568995811yescharacteristic
1549C22#1568995811yescharacteristic
1550C22#1568995811yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—942no—
1563C4—942no—
1564C4—942no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—3761no—
1581C2—3761no—
1582C2C2×#1568970911yescharacteristic
1583C2#2025710311yescharacteristic
1584C2#2025723511yescharacteristic
1585C2#2025757911yescharacteristic
1586C2#2025769911yescharacteristic
1587C2#2025773711yescharacteristic
1588C2#2025794211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2622C2
hypercenter#2622D47
hypocenterC47#36795
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2622

Complements

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

NH ≅ G/Ntype
1. #20251705C2semidirect
2. #20251685C2semidirect
3. #20251369C2semidirect
4. #20251323C2semidirect
5. #20251314C2semidirect
6. #20251109C2semidirect
7. #20251056C2semidirect
8. #20251014C2semidirect
9. #20251005C2semidirect
10. #20250963C2semidirect
11. #20250748C2semidirect
12. #20250717C2semidirect
13. #20250703C2semidirect
14. #20250648C2semidirect
15. #20250411C2semidirect
16. #20250204C2semidirect
17. #20250189C2semidirect
18. #20249793C2semidirect
19. #20249122C2semidirect
20. #20247952C2semidirect
21. #20247511C2semidirect
22. #20247142C2semidirect
23. #20247062C2semidirect
24. #20246996C2semidirect
25. #20246920C2semidirect
26. #20246775C2semidirect
27. #20246704C2semidirect
28. #20246056C2semidirect
29. #20245975C2semidirect
30. C2×#15689017C2semidirect
31. C47×#2622C2semidirect
33. C2×#13094019C22semidirect
35. C2×#13094010C22semidirect
49. C47⋊#401C22semidirect
50. #15689065C22semidirect
51. #15689065C22semidirect
52. #15689063C22semidirect
53. #15689053C22semidirect
54. #15689053C22semidirect
55. #15689052C22semidirect
57. #15689051C22semidirect
58. #15689049C22semidirect
61. #15689048C22semidirect
65. #15689044C22semidirect
66. #15689044C22semidirect
67. #15689040C22semidirect
74. #15689039C22semidirect
79. #15689036C22semidirect
85. #15689032C22semidirect
89. #15689028C22semidirect
90. #15689027C22semidirect
91. #15689027C22semidirect
92. #15689027C22semidirect
97. #15689023C22semidirect
98. #15689023C22semidirect
99. #15689023C22semidirect
100. #15689022C22semidirect
101. #15689019C22semidirect
102. #15689019C22semidirect
111. #15689017C22semidirect
115. #15689016C22semidirect
116. #15689016C22semidirect
117. #15689015C22semidirect
118. #15689015C22semidirect
119. #15689013C22semidirect
120. #15689013C22semidirect
121. #15689012C22semidirect
122. #15689012C22semidirect
123. #15689012C22semidirect
124. #15689012C22semidirect
127. #15689011C22semidirect
128. #15689009C22semidirect
129. #15689009C22semidirect
130. #15689008C22semidirect
131. #15689008C22semidirect
132. #15689008C22semidirect
133. #15689006C22semidirect
134. #15689006C22semidirect
135. #15689006C22semidirect
136. #15689004C22semidirect
143. #15689001C22semidirect
144. #15689001C22semidirect
149. #15689000C22semidirect
154. #15688998C22semidirect
155. #15688997C22semidirect
157. #15688994C22semidirect
158. #15688994C22semidirect
159. #15688990C22semidirect
160. #15688990C22semidirect
161. #15688987C22semidirect
162. #15688985C22semidirect
165. #15688982C22semidirect
166. #15688982C22semidirect
167. #15688981C22semidirect
168. #15688981C22semidirect
800. #2622D47semidirect
981. C47#36795semidirect

Maximal subgroups

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

subgroupindex
#202517052
#202516852
#202513692
#202513232
#202513142
#202511092
#202510562
#202510142
#202510052
#202509632
#202507482
#202507172
#202507032
#202506482
#202504112
#202502042
#202501892
#202497932
#202491222
#202479522
#202475112
#202471422
#202470622
#202469962
#202469202
#202467752
#202467042
#202460562
#202459752
C2×#156890172
C47×#26222
#3679547